** blas/blas1-c-test.f
 
blas1_c_test():
  FORTRAN77 version
  Test blas1_c().
 
TEST01
  CABS1 returns the L1 norm 
  of a single precision complex number.
 
      Real      Imaginary              
      Part      Part           CABS1(Z)
 
      2.2493   -0.6333         2.8826
     -4.2160   -1.7214         5.9374
      2.9481    1.3005         4.2486
      1.9557    1.6170         3.5727
     -0.6973   -0.7807         1.4780
     -1.1803    0.3873         1.5676
      0.0930   -3.1661         3.2591
      4.4642    0.0516         4.5158
     -2.8023    3.8190         6.6213
      1.5318    0.1314         1.6632
 
TEST02
  CABS2 returns the L2 norm 
  of a single precision complex number.
 
      Real      Imaginary              
      Part      Part           CABS2(Z)
 
      2.2493   -0.6333         2.3368
     -4.2160   -1.7214         4.5539
      2.9481    1.3005         3.2222
      1.9557    1.6170         2.5376
     -0.6973   -0.7807         1.0468
     -1.1803    0.3873         1.2422
      0.0930   -3.1661         3.1674
      4.4642    0.0516         4.4645
     -2.8023    3.8190         4.7368
      1.5318    0.1314         1.5374
 
TEST03
  CAXPY adds a multiple of one
  single precision complex vector to another.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  Y = 
 
       1    -1.0     0.0
       2     0.0    -3.0
       3     4.0     0.0
       4    -3.0     4.0
       5    -2.0     0.0
 
  The scalar multiplier is:  5.000000e-001-1.000000e+000
 
  A * X + Y = 
 
       1 -1.000000 -2.500000
       2 -4.000000  0.000000
       3  6.500000 -2.500000
       4  0.000000  3.000000
       5 -3.500000  0.500000
 
TEST04
  CCOPY copies one complex vector 
  into another.
 
  X = 
 
       1 1.000000e+001 1.000000e+000
       2 2.000000e+001 2.000000e+000
       3 3.000000e+001 3.000000e+000
       4 4.000000e+001 4.000000e+000
       5 5.000000e+001 5.000000e+000
       6 6.000000e+001 6.000000e+000
       7 7.000000e+001 7.000000e+000
       8 8.000000e+001 8.000000e+000
       9 9.000000e+001 9.000000e+000
      10 1.000000e+002 1.000000e+001
 
  Y = 
 
       1 2.000000e+001 2.000000e+000
       2 4.000000e+001 4.000000e+000
       3 6.000000e+001 6.000000e+000
       4 8.000000e+001 8.000000e+000
       5 1.000000e+002 1.000000e+001
       6 1.200000e+002 1.200000e+001
       7 1.400000e+002 1.400000e+001
       8 1.600000e+002 1.600000e+001
       9 1.800000e+002 1.800000e+001
      10 2.000000e+002 2.000000e+001
 
  A = 
 
     10.0    1.0   10.0    2.0   10.0    3.0   10.0    4.0   10.0    5.0
     20.0    1.0   20.0    2.0   20.0    3.0   20.0    4.0   20.0    5.0
     30.0    1.0   30.0    2.0   30.0    3.0   30.0    4.0   30.0    5.0
     40.0    1.0   40.0    2.0   40.0    3.0   40.0    4.0   40.0    5.0
     50.0    1.0   50.0    2.0   50.0    3.0   50.0    4.0   50.0    5.0
 
  CCOPY ( 5, X, 1, Y, 1 )
 
       1 1.000000e+001 1.000000e+000
       2 2.000000e+001 2.000000e+000
       3 3.000000e+001 3.000000e+000
       4 4.000000e+001 4.000000e+000
       5 5.000000e+001 5.000000e+000
       6 1.200000e+002 1.200000e+001
       7 1.400000e+002 1.400000e+001
       8 1.600000e+002 1.600000e+001
       9 1.800000e+002 1.800000e+001
      10 2.000000e+002 2.000000e+001
 
  CCOPY ( 3, X, 2, Y, 3 )
 
       1 1.000000e+001 1.000000e+000
       2 4.000000e+001 4.000000e+000
       3 6.000000e+001 6.000000e+000
       4 3.000000e+001 3.000000e+000
       5 1.000000e+002 1.000000e+001
       6 1.200000e+002 1.200000e+001
       7 5.000000e+001 5.000000e+000
       8 1.600000e+002 1.600000e+001
       9 1.800000e+002 1.800000e+001
      10 2.000000e+002 2.000000e+001
 
  CCOPY ( 5, X, 1, A, 1 )
 
 
  A = 
 
     10.0    1.0   10.0    2.0   10.0    3.0   10.0    4.0   10.0    5.0
     20.0    2.0   20.0    2.0   20.0    3.0   20.0    4.0   20.0    5.0
     30.0    3.0   30.0    2.0   30.0    3.0   30.0    4.0   30.0    5.0
     40.0    4.0   40.0    2.0   40.0    3.0   40.0    4.0   40.0    5.0
     50.0    5.0   50.0    2.0   50.0    3.0   50.0    4.0   50.0    5.0
 
  CCOPY ( 5, X, 2, A, 5 )
 
  A = 
 
     10.0    1.0   30.0    3.0   50.0    5.0   70.0    7.0   90.0    9.0
     20.0    1.0   20.0    2.0   20.0    3.0   20.0    4.0   20.0    5.0
     30.0    1.0   30.0    2.0   30.0    3.0   30.0    4.0   30.0    5.0
     40.0    1.0   40.0    2.0   40.0    3.0   40.0    4.0   40.0    5.0
     50.0    1.0   50.0    2.0   50.0    3.0   50.0    4.0   50.0    5.0
 
TEST05
  CDOTC computes the conjugated dot product
  of two complex vectors.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  The square of the norm of X, computed as
  CDOTC(X,X) =    45.0000      0.0000
 
  Y = 
 
       1    -1.0     0.0
       2     0.0    -3.0
       3     4.0     0.0
       4    -3.0     4.0
       5    -2.0     0.0
 
  The dot product X.Y* is    20.0000     19.0000
 
TEST06
  CDOTU computes the unconjugated dot product
  of two complex vectors.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  The unconjugated dot product ( X dot X )
  (which is NOT the square of the norm of X!):
  CDOTU(X,X) =    23.0000     28.0000
 
  Y = 
 
       1    -1.0     0.0
       2     0.0    -3.0
       3     4.0     0.0
       4    -3.0     4.0
       5    -2.0     0.0
 
  The dot product ( X dot Y ) is    -8.0000     21.0000
 
TEST07
  CMACH computes several machine-dependent
  complex arithmetic parameters.
 
  CMACH(1)  = machine epsilon = 1.192093e-007
  CMACH(2)  = a tiny value    = 1.533293e-018
  CMACH(3)  = a huge value    = 6.521909e+017
 
TEST08
  CROTG generates a complex Givens rotation
    (  C  S ) * ( A ) = ( R )
    ( -S  C )   ( B )   ( 0 )
 
 
  A =   4.498597e-001-1.266672e-001
  B =  -8.431965e-001-3.442802e-001
  C =   4.565401e-001
  S =  -7.017066e-001 5.469726e-001
  R =   9.853674e-001-2.774504e-001
         C *A+S*B =  9.853674e-001-2.774504e-001
  -conjg(S)*A+C*B =  2.980232e-008 0.000000e+000
 
  A =   5.896271e-001 2.600903e-001
  B =   3.911396e-001 3.234000e-001
  C =   7.856232e-001
  S =   5.953831e-001-1.682711e-001
  R =   7.505215e-001 3.310623e-001
         C *A+S*B =  7.505215e-001 3.310623e-001
  -conjg(S)*A+C*B =  0.000000e+000 0.000000e+000
 
  A =  -1.394657e-001-1.561356e-001
  B =  -2.360663e-001 7.745933e-002
  C =   6.443753e-001
  S =   3.062285e-001 7.007173e-001
  R =  -2.164355e-001-2.423054e-001
         C *A+S*B = -2.164356e-001-2.423054e-001
  -conjg(S)*A+C*B =  0.000000e+000 3.725290e-009
 
  A =   1.859943e-002-6.332143e-001
  B =   8.928497e-001 1.031361e-002
  C =   5.786315e-001
  S =   1.452795e-002-8.154597e-001
  R =   3.214382e-002-1.094331e+000
         C *A+S*B =  3.214382e-002-1.094331e+000
  -conjg(S)*A+C*B =  0.000000e+000-9.313226e-010
 
  A =  -5.604650e-001 7.637951e-001
  B =   3.063566e-001 2.627523e-002
  C =   9.511558e-001
  S =  -1.606977e-001 2.635882e-001
  R =  -5.892463e-001 8.030179e-001
         C *A+S*B = -5.892462e-001 8.030179e-001
  -conjg(S)*A+C*B =  2.980232e-008 2.421439e-008
 
TEST09
  CSCAL multiplies a complex scalar 
  times a vector.
 
  X = 
 
       1    10.0     1.0
       2    20.0     2.0
       3    30.0     3.0
       4    40.0     4.0
       5    50.0     5.0
       6    60.0     6.0
 
  CSCAL ( N, (  5.0000  0.0000), X, 1 )
 
       1    50.0     5.0
       2   100.0    10.0
       3   150.0    15.0
       4   200.0    20.0
       5   250.0    25.0
       6   300.0    30.0
 
  CSCAL ( 3, ( -2.0000  1.0000), X, 2 )
 
       1   -21.0     8.0
       2    20.0     2.0
       3   -63.0    24.0
       4    40.0     4.0
       5  -105.0    40.0
       6    60.0     6.0
 
TEST10
  CSIGN1 ( C1, C2 ) transfers the sign of
  complex C2 to the CABS1 magnitude of C1.
 
           C1                    C2                    C3
  --------------------  --------------------  --------------------
 
      2.2493   -0.6333     -4.2160   -1.7214     -2.0469   -0.8358
      2.9481    1.3005      1.9557    1.6170      2.3257    1.9229
     -0.6973   -0.7807     -1.1803    0.3873     -1.1129    0.3652
      0.0930   -3.1661      4.4642    0.0516      3.2219    0.0372
     -2.8023    3.8190      1.5318    0.1314      6.0983    0.5230
      2.5040   -3.8997      1.7524    0.0828      6.1148    0.2888
      2.1749   -1.3331     -1.0047    1.3536     -1.4946    2.0135
     -0.4873    4.5094     -3.8512   -1.5715     -3.5486   -1.4481
     -4.4459    1.3283     -3.8994   -2.7558     -3.3832   -2.3910
      0.1568   -2.1678      1.2454    2.8937      0.6995    1.6251
 
TEST11
  CSIGN2 ( C1, C2 ) transfers the sign of
  complex C2 to the CABS2 magnitude of C1.
 
           C1                    C2                    C3
  --------------------  --------------------  --------------------
 
      2.2493   -0.6333     -4.2160   -1.7214     -2.1634   -0.8833
      2.9481    1.3005      1.9557    1.6170      2.4833    2.0532
     -0.6973   -0.7807     -1.1803    0.3873     -0.9946    0.3264
      0.0930   -3.1661      4.4642    0.0516      3.1672    0.0366
     -2.8023    3.8190      1.5318    0.1314      4.7195    0.4048
      2.5040   -3.8997      1.7524    0.0828      4.6292    0.2187
      2.1749   -1.3331     -1.0047    1.3536     -1.5205    2.0483
     -0.4873    4.5094     -3.8512   -1.5715     -4.1995   -1.7136
     -4.4459    1.3283     -3.8994   -2.7558     -3.7893   -2.6780
      0.1568   -2.1678      1.2454    2.8937      0.8592    1.9964
 
TEST12
  CSROT carries out a Givens rotation
  on a complex vector.
 
  X and Y
 
       1        10.0       1.0        20.0       2.0
       2        20.0       2.0        40.0       4.0
       3        30.0       3.0        60.0       6.0
       4        40.0       4.0        80.0       8.0
       5        50.0       5.0       100.0      10.0
       6        60.0       6.0       120.0      12.0
 
  CSROT ( N, X, 1, Y, 1,   0.5000,  0.8660 )
 
       1        22.3       2.2         1.3       0.1
       2        44.6       4.5         2.7       0.3
       3        67.0       6.7         4.0       0.4
       4        89.3       8.9         5.4       0.5
       5       111.6      11.2         6.7       0.7
       6       133.9      13.4         8.0       0.8
 
TEST13
  CSSCAL multiplies a real scalar 
  times a complex vector.
 
  X = 
 
       1    10.0     1.0
       2    20.0     2.0
       3    30.0     3.0
       4    40.0     4.0
       5    50.0     5.0
       6    60.0     6.0
 
  CSSCAL ( N,   5.0000, X, 1 )
 
       1    50.0     5.0
       2   100.0    10.0
       3   150.0    15.0
       4   200.0    20.0
       5   250.0    25.0
       6   300.0    30.0
 
  CSSCAL ( 3,  -2.0000, X, 2 )
 
       1   -20.0    -2.0
       2    20.0     2.0
       3   -60.0    -6.0
       4    40.0     4.0
       5  -100.0   -10.0
       6    60.0     6.0
 
TEST14
  CSWAP swaps two complex vectors.
 
  X and Y
 
       1     10.0    1.0     20.0    2.0
       2     20.0    2.0     40.0    4.0
       3     30.0    3.0     60.0    6.0
       4     40.0    4.0     80.0    8.0
       5     50.0    5.0    100.0   10.0
 
  CSWAP ( N, X, 1, Y, 1 )
 
  X and Y
 
       1     20.0    2.0     10.0    1.0
       2     40.0    4.0     20.0    2.0
       3     60.0    6.0     30.0    3.0
       4     80.0    8.0     40.0    4.0
       5    100.0   10.0     50.0    5.0
 
  CSWAP ( 3, X, 2, Y, 1 )
 
  X and Y
 
       1     20.0    2.0     10.0    1.0
       2     20.0    2.0     30.0    3.0
       3     40.0    4.0     50.0    5.0
       4     40.0    4.0     80.0    8.0
       5     60.0    6.0    100.0   10.0
 
TEST15
  ICAMAX returns the index of maximum 
  magnitude;
 
  The entries and CABS1 magnitudes:
 
       1  2.0000 -1.0000    3.0000
       2 -4.0000 -2.0000    6.0000
       3  3.0000  1.0000    4.0000
       4  2.0000  2.0000    4.0000
       5 -1.0000 -1.0000    2.0000
 
  The index of maximum magnitude =      2
 
  Note that this is a 1-based index.
  Note that the L1 norm is used.
 
TEST16
  SCASUM adds the absolute values of
  elements of a complex vector.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
       6    -1.0     0.0
       7     0.0    -3.0
       8     4.0     0.0
 
  SCASUM ( NX,   X, 1    ) =  2.700000e+001
  SCASUM ( NX/2, X, 2    ) =  1.200000e+001
  SCASUM ( 2,    X, NX/2 ) =  5.000000e+000
 
  Demonstrate with a matrix A:
 
    -3.0     4.0    -1.0     1.0     0.0    -2.0    -1.0     2.0
     2.0     0.0     0.0     5.0     1.0     3.0     2.0    -4.0
     3.0    -4.0    -4.0    -2.0    -3.0     3.0     0.0    -1.0
     2.0     0.0    -4.0     1.0    -3.0     3.0     0.0    -1.0
     2.0    -1.0    -4.0    -3.0    -1.0    -2.0    -2.0     4.0
 
  SCASUM ( MA, A(1,2), 1 )   =  2.500000e+001
  SCASUM ( NA, A(2,1), MA ) =  1.700000e+001
 
TEST17
  SCNRM2 returns the Euclidean norm
  of a complex vector.
 
  The vector X:
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  The L2 norm of X is  6.708204e+000
 
blas1_c_test():
  Normal end of execution.
 
rc= 0
** blas/blas1-d-test.f
 
blas1_d_test():
  FORTRAN77 version
  Test blas1_d().
 
DASUM_TEST
  DASUM adds the absolute values of 
  elements of a double precision vector.
 
  X = 
 
       1-2.000000e+000
       2 4.000000e+000
       3-6.000000e+000
       4 8.000000e+000
       5-1.000000e+001
       6 1.200000e+001
       7-1.400000e+001
       8 1.600000e+001
       9-1.800000e+001
      10 2.000000e+001
 
  DASUM ( NX, X, 1 ) =    1.100000e+002
  DASUM ( NX/2, X, 2 ) =  5.000000e+001
  DASUM ( 2, X, NX/2 ) =  1.400000e+001
 
  Demonstrate with a matrix A:
 
   1.100000e+001-1.200000e+001 1.300000e+001-1.400000e+001
  -2.100000e+001 2.200000e+001-2.300000e+001 2.400000e+001
   3.100000e+001-3.200000e+001 3.300000e+001-3.400000e+001
  -4.100000e+001 4.200000e+001-4.300000e+001 4.400000e+001
   5.100000e+001-5.200000e+001 5.300000e+001-5.400000e+001
 
  DASUM(MA,A(1,2),1) =    1.600000e+002
  DASUM(NA,A(2,1),LDA) =  9.000000e+001
 
DAXPY_TEST
  DAXPY adds a double precision multiple of 
  vector X to vector Y.
 
  X = 
 
       1 1.000000e+000
       2 2.000000e+000
       3 3.000000e+000
       4 4.000000e+000
       5 5.000000e+000
       6 6.000000e+000
 
  Y = 
 
       1 1.000000e+002
       2 2.000000e+002
       3 3.000000e+002
       4 4.000000e+002
       5 5.000000e+002
       6 6.000000e+002
 
  DAXPY ( N,   1.0000, X, 1, Y, 1 )
 
       1 1.010000e+002
       2 2.020000e+002
       3 3.030000e+002
       4 4.040000e+002
       5 5.050000e+002
       6 6.060000e+002
 
  DAXPY ( N,  -2.0000, X, 1, Y, 1 )
 
       1 9.800000e+001
       2 1.960000e+002
       3 2.940000e+002
       4 3.920000e+002
       5 4.900000e+002
       6 5.880000e+002
 
  DAXPY ( 3,   3.0000, X, 2, Y, 1 )
 
       1 1.030000e+002
       2 2.090000e+002
       3 3.150000e+002
       4 4.000000e+002
       5 5.000000e+002
       6 6.000000e+002
 
  DAXPY ( 3,  -4.0000, X, 1, Y, 2 )
 
       1 9.600000e+001
       2 2.000000e+002
       3 2.920000e+002
       4 4.000000e+002
       5 4.880000e+002
       6 6.000000e+002
 
DCOPY_TEST
  DCOPY copies one double precision vector
  into another.
 
  X = 
 
       1 1.000000e+000
       2 2.000000e+000
       3 3.000000e+000
       4 4.000000e+000
       5 5.000000e+000
       6 6.000000e+000
       7 7.000000e+000
       8 8.000000e+000
       9 9.000000e+000
      10 1.000000e+001
 
  Y = 
 
       1 1.000000e+001
       2 2.000000e+001
       3 3.000000e+001
       4 4.000000e+001
       5 5.000000e+001
       6 6.000000e+001
       7 7.000000e+001
       8 8.000000e+001
       9 9.000000e+001
      10 1.000000e+002
 
  A = 
 
     11.00   12.00   13.00   14.00   15.00
     21.00   22.00   23.00   24.00   25.00
     31.00   32.00   33.00   34.00   35.00
     41.00   42.00   43.00   44.00   45.00
     51.00   52.00   53.00   54.00   55.00
 
  DCOPY ( 5, X, 1, Y, 1 )
 
       1 1.000000e+000
       2 2.000000e+000
       3 3.000000e+000
       4 4.000000e+000
       5 5.000000e+000
       6 6.000000e+001
       7 7.000000e+001
       8 8.000000e+001
       9 9.000000e+001
      10 1.000000e+002
 
  DCOPY ( 3, X, 2, Y, 3 )
 
       1 1.000000e+000
       2 2.000000e+001
       3 3.000000e+001
       4 3.000000e+000
       5 5.000000e+001
       6 6.000000e+001
       7 5.000000e+000
       8 8.000000e+001
       9 9.000000e+001
      10 1.000000e+002
 
  DCOPY ( 5, X, 1, A, 1 )
 
 
  A = 
 
      1.00   12.00   13.00   14.00   15.00
      2.00   22.00   23.00   24.00   25.00
      3.00   32.00   33.00   34.00   35.00
      4.00   42.00   43.00   44.00   45.00
      5.00   52.00   53.00   54.00   55.00
 
  DCOPY ( 5, X, 2, A, 5 )
 
  A = 
 
      1.00    3.00    5.00    7.00    9.00
     21.00   22.00   23.00   24.00   25.00
     31.00   32.00   33.00   34.00   35.00
     41.00   42.00   43.00   44.00   45.00
     51.00   52.00   53.00   54.00   55.00
 
DDOT_TEST
  DDOT computes the dot product of 
  double precision vectors.
 
  Dot product of X and Y is -5.500000e+001
 
  Product of row 2 of A and X is  8.500000e+001
 
  Product of column 2 of A and X is  8.500000e+001
 
  Matrix product computed with DDOT:
 
   5.000000e+001 3.000000e+001 1.000000e+001-1.000000e+001-3.000000e+001
   6.000000e+001 3.500000e+001 1.000000e+001-1.500000e+001-4.000000e+001
   7.000000e+001 4.000000e+001 1.000000e+001-2.000000e+001-5.000000e+001
   8.000000e+001 4.500000e+001 1.000000e+001-2.500000e+001-6.000000e+001
   9.000000e+001 5.000000e+001 1.000000e+001-3.000000e+001-7.000000e+001
 
DNRM2_TEST
  DNRM2 computes the Euclidean norm of 
  a double precision vector.
 
  The vector X:
 
       1  1.0000
       2  2.0000
       3  3.0000
       4  4.0000
       5  5.0000
 
  The 2-norm of X is  7.416198e+000
 
  The 2-norm of row 2 of A is  1.161895e+001
 
  The 2-norm of column 2 of A is  1.161895e+001
 
DROT_TEST
  DROT carries out a double precision 
  Givens rotation.
 
  X and Y
 
       1 1.000000e+000-1.100000e+001
       2 2.000000e+000-8.000000e+000
       3 3.000000e+000-3.000000e+000
       4 4.000000e+000 4.000000e+000
       5 5.000000e+000 1.300000e+001
       6 6.000000e+000 2.400000e+001
 
  DROT ( N, X, 1, Y, 1,   0.5000,  0.8660 )
 
       1-9.026279e+000-6.366025e+000
       2-5.928203e+000-5.732051e+000
       3-1.098076e+000-4.098076e+000
       4 5.464102e+000-1.464102e+000
       5 1.375833e+001 2.169873e+000
       6 2.378461e+001 6.803848e+000
 
  DROT ( N, X, 1, Y, 1,   0.0905, -0.9959 )
 
       1 1.104536e+001 0.000000e+000
       2 8.148217e+000 1.267500e+000
       3 3.259287e+000 2.716072e+000
       4-3.621430e+000 4.345716e+000
       5-1.249393e+001 6.156431e+000
       6-2.335822e+001 8.148217e+000
 
TEST08
  DROTG generates a real Givens rotation
    (  C  S ) * ( A ) = ( R )
    ( -S  C )   ( B )   ( 0 )
 
 
  A =   2.184183e-001  B =   9.563176e-001
  C =   2.226615e-001  S =   9.748958e-001
  R =   9.809434e-001  Z =   4.491123e+000
   C*A+S*B =  9.809434e-001
  -S*A+C*B =  0.000000e+000
 
  A =   8.295092e-001  B =   5.616954e-001
  C =   8.280254e-001  S =   5.606906e-001
  R =   1.001792e+000  Z =   5.606906e-001
   C*A+S*B =  1.001792e+000
  -S*A+C*B =  0.000000e+000
 
  A =   4.153071e-001  B =   6.611873e-002
  C =   9.875629e-001  S =   1.572244e-001
  R =   4.205373e-001  Z =   1.572244e-001
   C*A+S*B =  4.205373e-001
  -S*A+C*B =  0.000000e+000
 
  A =   2.575778e-001  B =   1.099568e-001
  C =   9.197048e-001  S =   3.926107e-001
  R =   2.800657e-001  Z =   3.926107e-001
   C*A+S*B =  2.800657e-001
  -S*A+C*B =  0.000000e+000
 
  A =   4.382900e-002  B =   6.339657e-001
  C =   6.897002e-002  S =   9.976187e-001
  R =   6.354790e-001  Z =   1.449905e+001
   C*A+S*B =  6.354790e-001
  -S*A+C*B =  6.938894e-018
 
DSCAL_TEST
  DSCAL multiplies a double precision scalar
  times a vector.
 
  X = 
 
       1 1.000000e+000
       2 2.000000e+000
       3 3.000000e+000
       4 4.000000e+000
       5 5.000000e+000
       6 6.000000e+000
 
  DSCAL ( N,   5.0000, X, 1 )
 
       1 5.000000e+000
       2 1.000000e+001
       3 1.500000e+001
       4 2.000000e+001
       5 2.500000e+001
       6 3.000000e+001
 
  DSCAL ( 3,  -2.0000, X, 2 )
 
       1-2.000000e+000
       2 2.000000e+000
       3-6.000000e+000
       4 4.000000e+000
       5-1.000000e+001
       6 6.000000e+000
 
DSWAP_TEST
  DSWAP swaps two vectors.
 
  X and Y
 
       1 1.000000e+000 1.000000e+002
       2 2.000000e+000 2.000000e+002
       3 3.000000e+000 3.000000e+002
       4 4.000000e+000 4.000000e+002
       5 5.000000e+000 5.000000e+002
       6 6.000000e+000 6.000000e+002
 
  DSWAP ( N, X, 1, Y, 1 )
 
  X and Y
 
       1 1.000000e+002 1.000000e+000
       2 2.000000e+002 2.000000e+000
       3 3.000000e+002 3.000000e+000
       4 4.000000e+002 4.000000e+000
       5 5.000000e+002 5.000000e+000
       6 6.000000e+002 6.000000e+000
 
  DSWAP ( 3, X, 2, Y, 1 )
 
  X and Y
 
       1 1.000000e+002 1.000000e+000
       2 2.000000e+000 3.000000e+000
       3 2.000000e+002 5.000000e+000
       4 4.000000e+000 4.000000e+002
       5 3.000000e+002 5.000000e+002
       6 6.000000e+000 6.000000e+002
 
IDAMAX_TEST
  IDAMAX returns the index of maximum 
  magnitude;
 
  The vector X:
 
       1  1.0000
       2 -3.0000
       3  4.0000
       4  0.0000
       5 -4.0000
       6  3.0000
       7 -1.0000
       8 -5.0000
       9  2.0000
      10 -2.0000
      11 -6.0000
 
  The index of maximum magnitude =     11
 
blas1_d_test():
  Normal end of execution.
 
rc= 0
** blas/blas1-s-test.f
 
blas1_s_test():
  FORTRAN77 version
  Test blas1_s().
 
TEST01
  ISAMAX returns the index of maximum 
  magnitude;
 
  The vector X:
 
       1  1.0000
       2 -3.0000
       3  4.0000
       4  0.0000
       5 -4.0000
       6  3.0000
       7 -1.0000
       8 -5.0000
       9  2.0000
      10 -2.0000
      11 -6.0000
 
  The index of maximum magnitude =     11
 
TEST02
  Use ISAMAX, SAXPY and SSCAL
  in a Gauss elimination routine.
 
  First five entries of solution:
 
   9.999998e-001 2.000000e+000 3.000000e+000 3.999999e+000 4.999999e+000
 
TEST03
  SASUM adds the absolute values 
  of elements of a vector.
 
  X = 
 
       1-2.000000e+000
       2 4.000000e+000
       3-6.000000e+000
       4 8.000000e+000
       5-1.000000e+001
       6 1.200000e+001
       7-1.400000e+001
       8 1.600000e+001
       9-1.800000e+001
      10 2.000000e+001
 
  SASUM ( NX, X, 1 ) =    1.100000e+002
  SASUM ( NX/2, X, 2 ) =  5.000000e+001
  SASUM ( 2, X, NX/2 ) =  1.400000e+001
 
  Demonstrate with a matrix A:
 
   1.100000e+001-1.200000e+001 1.300000e+001-1.400000e+001
  -2.100000e+001 2.200000e+001-2.300000e+001 2.400000e+001
   3.100000e+001-3.200000e+001 3.300000e+001-3.400000e+001
  -4.100000e+001 4.200000e+001-4.300000e+001 4.400000e+001
   5.100000e+001-5.200000e+001 5.300000e+001-5.400000e+001
 
  SASUM(MA,A(1,2),1) =    1.600000e+002
  SASUM(NA,A(2,1),LDA) =  9.000000e+001
 
TEST04
  SAXPY adds a multiple of vector X to vector Y.
 
  X = 
 
       1 1.000000e+000
       2 2.000000e+000
       3 3.000000e+000
       4 4.000000e+000
       5 5.000000e+000
       6 6.000000e+000
 
  Y = 
 
       1 1.000000e+002
       2 2.000000e+002
       3 3.000000e+002
       4 4.000000e+002
       5 5.000000e+002
       6 6.000000e+002
 
  SAXPY ( N,   1.0000, X, 1, Y, 1 )
 
       1 1.010000e+002
       2 2.020000e+002
       3 3.030000e+002
       4 4.040000e+002
       5 5.050000e+002
       6 6.060000e+002
 
  SAXPY ( N,  -2.0000, X, 1, Y, 1 )
 
       1 9.800000e+001
       2 1.960000e+002
       3 2.940000e+002
       4 3.920000e+002
       5 4.900000e+002
       6 5.880000e+002
 
  SAXPY ( 3,   3.0000, X, 2, Y, 1 )
 
       1 1.030000e+002
       2 2.090000e+002
       3 3.150000e+002
       4 4.000000e+002
       5 5.000000e+002
       6 6.000000e+002
 
  SAXPY ( 3,  -4.0000, X, 1, Y, 2 )
 
       1 9.600000e+001
       2 2.000000e+002
       3 2.920000e+002
       4 4.000000e+002
       5 4.880000e+002
       6 6.000000e+002
 
TEST05
  SCOPY copies one vector into another.
 
  X = 
 
       1 1.000000e+000
       2 2.000000e+000
       3 3.000000e+000
       4 4.000000e+000
       5 5.000000e+000
       6 6.000000e+000
       7 7.000000e+000
       8 8.000000e+000
       9 9.000000e+000
      10 1.000000e+001
 
  Y = 
 
       1 1.000000e+001
       2 2.000000e+001
       3 3.000000e+001
       4 4.000000e+001
       5 5.000000e+001
       6 6.000000e+001
       7 7.000000e+001
       8 8.000000e+001
       9 9.000000e+001
      10 1.000000e+002
 
  A = 
 
     11.00   12.00   13.00   14.00   15.00
     21.00   22.00   23.00   24.00   25.00
     31.00   32.00   33.00   34.00   35.00
     41.00   42.00   43.00   44.00   45.00
     51.00   52.00   53.00   54.00   55.00
 
  SCOPY ( 5, X, 1, Y, 1 )
 
       1 1.000000e+000
       2 2.000000e+000
       3 3.000000e+000
       4 4.000000e+000
       5 5.000000e+000
       6 6.000000e+001
       7 7.000000e+001
       8 8.000000e+001
       9 9.000000e+001
      10 1.000000e+002
 
  SCOPY ( 3, X, 2, Y, 3 )
 
       1 1.000000e+000
       2 2.000000e+001
       3 3.000000e+001
       4 3.000000e+000
       5 5.000000e+001
       6 6.000000e+001
       7 5.000000e+000
       8 8.000000e+001
       9 9.000000e+001
      10 1.000000e+002
 
  SCOPY ( 5, X, 1, A, 1 )
 
 
  A = 
 
      1.00   12.00   13.00   14.00   15.00
      2.00   22.00   23.00   24.00   25.00
      3.00   32.00   33.00   34.00   35.00
      4.00   42.00   43.00   44.00   45.00
      5.00   52.00   53.00   54.00   55.00
 
  SCOPY ( 5, X, 2, A, 5 )
 
  A = 
 
      1.00    3.00    5.00    7.00    9.00
     21.00   22.00   23.00   24.00   25.00
     31.00   32.00   33.00   34.00   35.00
     41.00   42.00   43.00   44.00   45.00
     51.00   52.00   53.00   54.00   55.00
 
TEST06
  SDOT computes the dot product of vectors.
 
  Dot product of X and Y is -5.500000e+001
 
  Product of row 2 of A and X is  8.500000e+001
 
  Product of column 2 of A and X is  8.500000e+001
 
  Matrix product computed with SDOT:
 
   5.000000e+001 3.000000e+001 1.000000e+001-1.000000e+001-3.000000e+001
   6.000000e+001 3.500000e+001 1.000000e+001-1.500000e+001-4.000000e+001
   7.000000e+001 4.000000e+001 1.000000e+001-2.000000e+001-5.000000e+001
   8.000000e+001 4.500000e+001 1.000000e+001-2.500000e+001-6.000000e+001
   9.000000e+001 5.000000e+001 1.000000e+001-3.000000e+001-7.000000e+001
 
TEST08
  SNRM2 computes the Euclidean norm 
  of a vector.
 
  The vector X:
 
       1  1.0000
       2  2.0000
       3  3.0000
       4  4.0000
       5  5.0000
 
  The 2-norm of X is  7.416199e+000
 
  The 2-norm of row 2 of A is  1.161895e+001
 
  The 2-norm of column 2 of A is  1.161895e+001
 
TEST09
  SROT carries out a Givens rotation.
 
  X and Y
 
       1 1.000000e+000-1.100000e+001
       2 2.000000e+000-8.000000e+000
       3 3.000000e+000-3.000000e+000
       4 4.000000e+000 4.000000e+000
       5 5.000000e+000 1.300000e+001
       6 6.000000e+000 2.400000e+001
 
  SROT ( N, X, 1, Y, 1,   0.5000,  0.8660 )
 
       1-9.026279e+000-6.366025e+000
       2-5.928203e+000-5.732051e+000
       3-1.098076e+000-4.098076e+000
       4 5.464102e+000-1.464102e+000
       5 1.375833e+001 2.169873e+000
       6 2.378461e+001 6.803848e+000
 
  SROT ( N, X, 1, Y, 1,   0.0905, -0.9959 )
 
       1 1.104536e+001-5.960464e-008
       2 8.148217e+000 1.267500e+000
       3 3.259287e+000 2.716073e+000
       4-3.621430e+000 4.345716e+000
       5-1.249393e+001 6.156431e+000
       6-2.335822e+001 8.148217e+000
 
TEST10
  SROTG generates a real Givens rotation
    (  C  S ) * ( A ) = ( R )
    ( -S  C )   ( B )   ( 0 )
 
 
  A =   2.184183e-001  B =   9.563176e-001
  C =   2.226615e-001  S =   9.748958e-001
  R =   9.809434e-001  Z =   4.491123e+000
   C*A+S*B =  9.809434e-001
  -S*A+C*B =  0.000000e+000
 
  A =   8.295093e-001  B =   5.616955e-001
  C =   8.280253e-001  S =   5.606906e-001
  R =   1.001792e+000  Z =   5.606906e-001
   C*A+S*B =  1.001792e+000
  -S*A+C*B =  2.980232e-008
 
  A =   4.153071e-001  B =   6.611873e-002
  C =   9.875629e-001  S =   1.572244e-001
  R =   4.205374e-001  Z =   1.572244e-001
   C*A+S*B =  4.205373e-001
  -S*A+C*B =  0.000000e+000
 
  A =   2.575778e-001  B =   1.099568e-001
  C =   9.197048e-001  S =   3.926106e-001
  R =   2.800657e-001  Z =   3.926106e-001
   C*A+S*B =  2.800657e-001
  -S*A+C*B =  0.000000e+000
 
  A =   4.382900e-002  B =   6.339657e-001
  C =   6.897002e-002  S =   9.976187e-001
  R =   6.354790e-001  Z =   1.449905e+001
   C*A+S*B =  6.354790e-001
  -S*A+C*B = -3.725290e-009
 
TEST11
  SSCAL multiplies a vector by a scalar.
 
  X = 
 
       1 1.000000e+000
       2 2.000000e+000
       3 3.000000e+000
       4 4.000000e+000
       5 5.000000e+000
       6 6.000000e+000
 
  SSCAL ( N,   5.0000, X, 1 )
 
       1 5.000000e+000
       2 1.000000e+001
       3 1.500000e+001
       4 2.000000e+001
       5 2.500000e+001
       6 3.000000e+001
 
  SSCAL ( 3,  -2.0000, X, 2 )
 
       1-2.000000e+000
       2 2.000000e+000
       3-6.000000e+000
       4 4.000000e+000
       5-1.000000e+001
       6 6.000000e+000
 
TEST12
  SSWAP swaps two vectors.
 
  X and Y
 
       1 1.000000e+000 1.000000e+002
       2 2.000000e+000 2.000000e+002
       3 3.000000e+000 3.000000e+002
       4 4.000000e+000 4.000000e+002
       5 5.000000e+000 5.000000e+002
       6 6.000000e+000 6.000000e+002
 
  SSWAP ( N, X, 1, Y, 1 )
 
  X and Y
 
       1 1.000000e+002 1.000000e+000
       2 2.000000e+002 2.000000e+000
       3 3.000000e+002 3.000000e+000
       4 4.000000e+002 4.000000e+000
       5 5.000000e+002 5.000000e+000
       6 6.000000e+002 6.000000e+000
 
  SSWAP ( 3, X, 2, Y, 1 )
 
  X and Y
 
       1 1.000000e+002 1.000000e+000
       2 2.000000e+000 3.000000e+000
       3 2.000000e+002 5.000000e+000
       4 4.000000e+000 4.000000e+002
       5 3.000000e+002 5.000000e+002
       6 6.000000e+000 6.000000e+002
 
blas1_s_test():
  Normal end of execution.
 
rc= 0
** blas/blas1-z-test.f
 
blas1_z_test():
  FORTRAN77 version
  Test blas1_z().
 
TEST01
  DZASUM adds the absolute values of
  elements of a complex vector.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
       6    -1.0     0.0
       7     0.0    -3.0
       8     4.0     0.0
 
  DZASUM ( NX,   X, 1    ) =  2.700000e+001
  DZASUM ( NX/2, X, 2    ) =  1.200000e+001
  DZASUM ( 2,    X, NX/2 ) =  5.000000e+000
 
  Demonstrate with a matrix A:
 
    -3.0     4.0    -1.0     1.0     0.0    -2.0    -1.0     2.0
     2.0     0.0     0.0     5.0     1.0     3.0     2.0    -4.0
     3.0    -4.0    -4.0    -2.0    -3.0     3.0     0.0    -1.0
     2.0     0.0    -4.0     1.0    -3.0     3.0     0.0    -1.0
     2.0    -1.0    -4.0    -3.0    -1.0    -2.0    -2.0     4.0
 
  DZASUM ( MA, A(1,2), 1 )   =  2.500000e+001
  DZASUM ( NA, A(2,1), MA ) =  1.700000e+001
 
TEST02
  DZNRM2 returns the Euclidean norm
  of a complex vector.
 
  The vector X:
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  The L2 norm of X is  6.708204e+000
 
TEST03
  IZAMAX returns the index of maximum 
  magnitude;
 
  The entries and ZABS1 magnitudes:
 
       1  2.0000 -1.0000    3.0000
       2 -4.0000 -2.0000    6.0000
       3  3.0000  1.0000    4.0000
       4  2.0000  2.0000    4.0000
       5 -1.0000 -1.0000    2.0000
 
  The index of maximum magnitude =      2
 
  Note that this is a 1-based index.
  Note that the L1 norm is used.
 
TEST04
  ZABS1 returns the L1 norm 
  of a double complex number.
 
      Real      Imaginary              
      Part      Part           ZABS1(Z)
 
      2.2493   -0.6333         2.8826
     -4.2160   -1.7214         5.9374
      2.9481    1.3005         4.2486
      1.9557    1.6170         3.5727
     -0.6973   -0.7807         1.4780
     -1.1803    0.3873         1.5676
      0.0930   -3.1661         3.2591
      4.4642    0.0516         4.5158
     -2.8023    3.8190         6.6213
      1.5318    0.1314         1.6632
 
TEST05
  ZABS2 returns the L2 norm 
  of a double complex number.
 
      Real      Imaginary              
      Part      Part           ZABS2(Z)
 
      2.2493   -0.6333         2.3368
     -4.2160   -1.7214         4.5539
      2.9481    1.3005         3.2222
      1.9557    1.6170         2.5376
     -0.6973   -0.7807         1.0468
     -1.1803    0.3873         1.2422
      0.0930   -3.1661         3.1674
      4.4642    0.0516         4.4645
     -2.8023    3.8190         4.7368
      1.5318    0.1314         1.5374
 
TEST06
  ZAXPY adds a multiple of one 
  double complex vector to another.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  Y = 
 
       1    -1.0     0.0
       2     0.0    -3.0
       3     4.0     0.0
       4    -3.0     4.0
       5    -2.0     0.0
 
  The scalar multiplier is:  5.000000e-001-1.000000e+000
 
  A * X + Y = 
 
       1 -1.000000 -2.500000
       2 -4.000000  0.000000
       3  6.500000 -2.500000
       4  0.000000  3.000000
       5 -3.500000  0.500000
 
TEST07
  ZCOPY copies one double complex vector 
  into another.
 
  X = 
 
       1 1.000000e+001 1.000000e+000
       2 2.000000e+001 2.000000e+000
       3 3.000000e+001 3.000000e+000
       4 4.000000e+001 4.000000e+000
       5 5.000000e+001 5.000000e+000
       6 6.000000e+001 6.000000e+000
       7 7.000000e+001 7.000000e+000
       8 8.000000e+001 8.000000e+000
       9 9.000000e+001 9.000000e+000
      10 1.000000e+002 1.000000e+001
 
  Y = 
 
       1 2.000000e+001 2.000000e+000
       2 4.000000e+001 4.000000e+000
       3 6.000000e+001 6.000000e+000
       4 8.000000e+001 8.000000e+000
       5 1.000000e+002 1.000000e+001
       6 1.200000e+002 1.200000e+001
       7 1.400000e+002 1.400000e+001
       8 1.600000e+002 1.600000e+001
       9 1.800000e+002 1.800000e+001
      10 2.000000e+002 2.000000e+001
 
  A = 
 
     10.0    1.0   10.0    2.0   10.0    3.0   10.0    4.0   10.0    5.0
     20.0    1.0   20.0    2.0   20.0    3.0   20.0    4.0   20.0    5.0
     30.0    1.0   30.0    2.0   30.0    3.0   30.0    4.0   30.0    5.0
     40.0    1.0   40.0    2.0   40.0    3.0   40.0    4.0   40.0    5.0
     50.0    1.0   50.0    2.0   50.0    3.0   50.0    4.0   50.0    5.0
 
  ZCOPY ( 5, X, 1, Y, 1 )
 
       1 1.000000e+001 1.000000e+000
       2 2.000000e+001 2.000000e+000
       3 3.000000e+001 3.000000e+000
       4 4.000000e+001 4.000000e+000
       5 5.000000e+001 5.000000e+000
       6 1.200000e+002 1.200000e+001
       7 1.400000e+002 1.400000e+001
       8 1.600000e+002 1.600000e+001
       9 1.800000e+002 1.800000e+001
      10 2.000000e+002 2.000000e+001
 
  ZCOPY ( 3, X, 2, Y, 3 )
 
       1 1.000000e+001 1.000000e+000
       2 4.000000e+001 4.000000e+000
       3 6.000000e+001 6.000000e+000
       4 3.000000e+001 3.000000e+000
       5 1.000000e+002 1.000000e+001
       6 1.200000e+002 1.200000e+001
       7 5.000000e+001 5.000000e+000
       8 1.600000e+002 1.600000e+001
       9 1.800000e+002 1.800000e+001
      10 2.000000e+002 2.000000e+001
 
  ZCOPY ( 5, X, 1, A, 1 )
 
 
  A = 
 
     10.0    1.0   10.0    2.0   10.0    3.0   10.0    4.0   10.0    5.0
     20.0    2.0   20.0    2.0   20.0    3.0   20.0    4.0   20.0    5.0
     30.0    3.0   30.0    2.0   30.0    3.0   30.0    4.0   30.0    5.0
     40.0    4.0   40.0    2.0   40.0    3.0   40.0    4.0   40.0    5.0
     50.0    5.0   50.0    2.0   50.0    3.0   50.0    4.0   50.0    5.0
 
  ZCOPY ( 5, X, 2, A, 5 )
 
  A = 
 
     10.0    1.0   30.0    3.0   50.0    5.0   70.0    7.0   90.0    9.0
     20.0    1.0   20.0    2.0   20.0    3.0   20.0    4.0   20.0    5.0
     30.0    1.0   30.0    2.0   30.0    3.0   30.0    4.0   30.0    5.0
     40.0    1.0   40.0    2.0   40.0    3.0   40.0    4.0   40.0    5.0
     50.0    1.0   50.0    2.0   50.0    3.0   50.0    4.0   50.0    5.0
 
TEST08
  ZDOTC computes the conjugated dot product
  of two double complex vectors.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  The square of the norm of X, computed as
  ZDOTC(X,X) =    45.0000      0.0000
 
  Y = 
 
       1    -1.0     0.0
       2     0.0    -3.0
       3     4.0     0.0
       4    -3.0     4.0
       5    -2.0     0.0
 
  The dot product X.Y* is    20.0000     19.0000
 
TEST09
  ZDOTU computes the unconjugated dot product
  of two double complex vectors.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  The unconjugated dot product ( X dot X )
  (which is NOT the square of the norm of X!):
  ZDOTU(X,X) =    23.0000     28.0000
 
  Y = 
 
       1    -1.0     0.0
       2     0.0    -3.0
       3     4.0     0.0
       4    -3.0     4.0
       5    -2.0     0.0
 
  The dot product ( X dot Y ) is    -8.0000     21.0000
 
TEST10
  ZDROT carries out a Givens rotation
  on a double complex vector.
 
  X and Y
 
       1        10.0       1.0        20.0       2.0
       2        20.0       2.0        40.0       4.0
       3        30.0       3.0        60.0       6.0
       4        40.0       4.0        80.0       8.0
       5        50.0       5.0       100.0      10.0
       6        60.0       6.0       120.0      12.0
 
  ZDROT ( N, X, 1, Y, 1,   0.5000,  0.8660 )
 
       1        22.3       2.2         1.3       0.1
       2        44.6       4.5         2.7       0.3
       3        67.0       6.7         4.0       0.4
       4        89.3       8.9         5.4       0.5
       5       111.6      11.2         6.7       0.7
       6       133.9      13.4         8.0       0.8
 
TEST11
  ZDSCAL multiplies a double precision
  scalar times a double complex vector.
 
  X = 
 
       1    10.0     1.0
       2    20.0     2.0
       3    30.0     3.0
       4    40.0     4.0
       5    50.0     5.0
       6    60.0     6.0
 
  ZDSCAL ( N,   5.0000, X, 1 )
 
       1    50.0     5.0
       2   100.0    10.0
       3   150.0    15.0
       4   200.0    20.0
       5   250.0    25.0
       6   300.0    30.0
 
  ZDSCAL ( 3,  -2.0000, X, 2 )
 
       1   -20.0    -2.0
       2    20.0     2.0
       3   -60.0    -6.0
       4    40.0     4.0
       5  -100.0   -10.0
       6    60.0     6.0
 
TEST12
  ZMACH computes several machine-dependent
  double complex arithmetic parameters.
 
  ZMACH(1)  = machine epsilon = 2.220446049250313e-016
  ZMACH(2)  = a tiny value    = 8.900295434028806e-308
  ZMACH(3)  = a huge value    = 1.123558209288947e+307
 
TEST13
  ZROTG generates a complex Givens rotation
    (  C  S ) * ( A ) = ( R )
    ( -S  C )   ( B )   ( 0 )
 
 
  A =   4.498596e-001-1.266674e-001
  B =  -8.431966e-001-3.442800e-001
  C =   4.565401e-001
  S =  -7.017065e-001 5.469727e-001
  R =   9.853673e-001-2.774507e-001
         C *A+S*B =  9.853673e-001-2.774507e-001
  -conjg(S)*A+C*B =  0.000000e+000 2.775558e-017
 
  A =   5.896271e-001 2.600903e-001
  B =   3.911396e-001 3.234000e-001
  C =   7.856232e-001
  S =   5.953831e-001-1.682711e-001
  R =   7.505215e-001 3.310624e-001
         C *A+S*B =  7.505215e-001 3.310624e-001
  -conjg(S)*A+C*B =  5.551115e-017 0.000000e+000
 
  A =  -1.394657e-001-1.561355e-001
  B =  -2.360663e-001 7.745932e-002
  C =   6.443752e-001
  S =   3.062286e-001 7.007172e-001
  R =  -2.164356e-001-2.423053e-001
         C *A+S*B = -2.164356e-001-2.423053e-001
  -conjg(S)*A+C*B =  0.000000e+000 0.000000e+000
 
  A =   1.859929e-002-6.332143e-001
  B =   8.928497e-001 1.031361e-002
  C =   5.786315e-001
  S =   1.452777e-002-8.154597e-001
  R =   3.214359e-002-1.094331e+000
         C *A+S*B =  3.214359e-002-1.094331e+000
  -conjg(S)*A+C*B = -1.110223e-016-8.673617e-019
 
  A =  -5.604651e-001 7.637951e-001
  B =   3.063566e-001 2.627523e-002
  C =   9.511559e-001
  S =  -1.606977e-001 2.635882e-001
  R =  -5.892463e-001 8.030178e-001
         C *A+S*B = -5.892463e-001 8.030178e-001
  -conjg(S)*A+C*B =  5.551115e-017-3.469447e-018
 
TEST14
  ZSCAL multiplies a double complex scalar 
  times a vector.
 
  X = 
 
       1    10.0     1.0
       2    20.0     2.0
       3    30.0     3.0
       4    40.0     4.0
       5    50.0     5.0
       6    60.0     6.0
 
  ZSCAL ( N, (  5.0000  0.0000), X, 1 )
 
       1    50.0     5.0
       2   100.0    10.0
       3   150.0    15.0
       4   200.0    20.0
       5   250.0    25.0
       6   300.0    30.0
 
  ZSCAL ( 3, ( -2.0000  1.0000), X, 2 )
 
       1   -21.0     8.0
       2    20.0     2.0
       3   -63.0    24.0
       4    40.0     4.0
       5  -105.0    40.0
       6    60.0     6.0
 
TEST15
  ZSIGN1 ( C1, C2 ) transfers the sign of
  double complex C2 to the ZABS1 magnitude 
  of C1.
 
           C1                    C2                    C3
  --------------------  --------------------  --------------------
 
      2.2493   -0.6333     -4.2160   -1.7214     -2.0469   -0.8358
      2.9481    1.3005      1.9557    1.6170      2.3257    1.9229
     -0.6973   -0.7807     -1.1803    0.3873     -1.1129    0.3652
      0.0930   -3.1661      4.4642    0.0516      3.2219    0.0372
     -2.8023    3.8190      1.5318    0.1314      6.0983    0.5230
      2.5040   -3.8997      1.7524    0.0828      6.1148    0.2888
      2.1749   -1.3331     -1.0047    1.3536     -1.4946    2.0135
     -0.4873    4.5094     -3.8512   -1.5715     -3.5486   -1.4481
     -4.4459    1.3283     -3.8994   -2.7558     -3.3832   -2.3910
      0.1568   -2.1678      1.2454    2.8937      0.6995    1.6251
 
TEST16
  ZSIGN2 ( C1, C2 ) transfers the sign of
  double complex C2 to the ZABS2 magnitude 
  of C1.
 
           C1                    C2                    C3
  --------------------  --------------------  --------------------
 
      2.2493   -0.6333     -4.2160   -1.7214     -2.1634   -0.8833
      2.9481    1.3005      1.9557    1.6170      2.4833    2.0532
     -0.6973   -0.7807     -1.1803    0.3873     -0.9946    0.3264
      0.0930   -3.1661      4.4642    0.0516      3.1672    0.0366
     -2.8023    3.8190      1.5318    0.1314      4.7195    0.4048
      2.5040   -3.8997      1.7524    0.0828      4.6292    0.2187
      2.1749   -1.3331     -1.0047    1.3536     -1.5205    2.0483
     -0.4873    4.5094     -3.8512   -1.5715     -4.1995   -1.7136
     -4.4459    1.3283     -3.8994   -2.7558     -3.7893   -2.6780
      0.1568   -2.1678      1.2454    2.8937      0.8592    1.9964
 
TEST17
  ZSWAP swaps two double complex vectors.
 
  X and Y
 
       1     10.0    1.0     20.0    2.0
       2     20.0    2.0     40.0    4.0
       3     30.0    3.0     60.0    6.0
       4     40.0    4.0     80.0    8.0
       5     50.0    5.0    100.0   10.0
 
  ZSWAP ( N, X, 1, Y, 1 )
 
  X and Y
 
       1     20.0    2.0     10.0    1.0
       2     40.0    4.0     20.0    2.0
       3     60.0    6.0     30.0    3.0
       4     80.0    8.0     40.0    4.0
       5    100.0   10.0     50.0    5.0
 
  ZSWAP ( 3, X, 2, Y, 1 )
 
  X and Y
 
       1     20.0    2.0     10.0    1.0
       2     20.0    2.0     30.0    3.0
       3     40.0    4.0     50.0    5.0
       4     40.0    4.0     80.0    8.0
       5     60.0    6.0    100.0   10.0
 
blas1_z_test():
  Normal end of execution.
 
rc= 0
** blas/blas2-c-test.f
 
blas2_c_test():
  FORTRAN77 version
  Test blas2_c().
 
TEST01
  For a general matrix A,
  CGEMV computes y := alpha * A * x + beta * y
 
  Result vector Y = 
 
   2.830000e+002 7.200000e+001
   3.000000e+002 3.000000e+000
   3.000000e+002 3.000000e+000
   3.000000e+002 3.000000e+000
   3.550000e+002-4.200000e+001
 
blas2_c_test():
  Normal end of execution.
 
rc= 0
** blas/blas2-d-test.f
 
blas2_d_test():
  FORTRAN77 version
  Test blas2_d().
 
TEST01
  For a general matrix A,
  DGEMV computes y := alpha * A * x + beta * y
  or             y := alpha * A' * x + beta * y.
 
  Matrix A:
 
  Col         1             2             3             4       
  Row
 
    1: 1.100000e+001 1.200000e+001 1.300000e+001 1.400000e+001
    2: 2.100000e+001 2.200000e+001 2.300000e+001 2.400000e+001
    3: 3.100000e+001 3.200000e+001 3.300000e+001 3.400000e+001
    4: 4.100000e+001 4.200000e+001 4.300000e+001 4.400000e+001
    5: 5.100000e+001 5.200000e+001 5.300000e+001 5.400000e+001
 
  Vector X:
 
         1:  1.00000000e+000
         2:  2.00000000e+000
         3:  3.00000000e+000
         4:  4.00000000e+000
 
  Vector Y:
 
         1:  1.00000000e+001
         2:  2.00000000e+001
         3:  3.00000000e+001
         4:  4.00000000e+001
         5:  5.00000000e+001
 
  Result Y = alpha * A  * x + beta * y
 
         1:  2.90000000e+002
         2:  5.20000000e+002
         3:  7.50000000e+002
         4:  9.80000000e+002
         5:  1.21000000e+003
 
  Matrix A:
 
  Col         1             2             3             4       
  Row
 
    1: 1.100000e+001 2.100000e+001 3.100000e+001 4.100000e+001
    2: 1.200000e+001 2.200000e+001 3.200000e+001 4.200000e+001
    3: 1.300000e+001 2.300000e+001 3.300000e+001 4.300000e+001
    4: 1.400000e+001 2.400000e+001 3.400000e+001 4.400000e+001
    5: 1.500000e+001 2.500000e+001 3.500000e+001 4.500000e+001
 
  Vector X:
 
         1:  1.00000000e+000
         2:  2.00000000e+000
         3:  3.00000000e+000
         4:  4.00000000e+000
         5:  5.00000000e+000
 
  Vector Y:
 
         1:  1.00000000e+001
         2:  2.00000000e+001
         3:  3.00000000e+001
         4:  4.00000000e+001
 
  Result Y = alpha * A' * x + beta * y
 
         1:  4.40000000e+002
         2:  7.70000000e+002
         3:  1.10000000e+003
         4:  1.43000000e+003
 
TEST02
  For a general band matrix A,
  DGBMV computes 
  y := alpha * A * x + beta * y
 
  Result vector Y
 
         1:  3.00000000e+001
         2:  6.00000000e+001
         3:  9.00000000e+001
         4:  1.20000000e+002
         5:  1.62000000e+002
 
TEST03
  For a general symmetric matrix A,
  DSYMV computes 
  y := alpha * A * x + beta * y
 
  Result vector Y
 
         1:  3.00000000e+001
         2:  6.00000000e+001
         3:  9.00000000e+001
         4:  1.20000000e+002
         5:  1.62000000e+002
 
TEST04
  For a symmetric band matrix A,
  DSBMV computes 
  y := alpha * A * x + beta * y
 
  Result vector Y
 
         1:  3.00000000e+001
         2:  6.00000000e+001
         3:  9.00000000e+001
         4:  1.20000000e+002
         5:  1.62000000e+002
 
TEST05
  For a general matrix A,
  DGER computes A := A + alpha * x * y'
 
  Matrix A:
 
  Col         1             2             3             4       
  Row
 
    1: 1.100000e+001 1.200000e+001 1.300000e+001 1.400000e+001
    2: 2.100000e+001 2.200000e+001 2.300000e+001 2.400000e+001
    3: 3.100000e+001 3.200000e+001 3.300000e+001 3.400000e+001
    4: 4.100000e+001 4.200000e+001 4.300000e+001 4.400000e+001
    5: 5.100000e+001 5.200000e+001 5.300000e+001 5.400000e+001
 
  Vector X:
 
         1:  1.00000000e+000
         2:  2.00000000e+000
         3:  3.00000000e+000
         4:  4.00000000e+000
         5:  5.00000000e+000
 
  Vector Y:
 
         1:  1.00000000e+001
         2:  2.00000000e+001
         3:  3.00000000e+001
         4:  4.00000000e+001
 
  Result A = A + alpha * x * y
 
  Col         1             2             3             4       
  Row
 
    1: 3.100000e+001 5.200000e+001 7.300000e+001 9.400000e+001
    2: 6.100000e+001 1.020000e+002 1.430000e+002 1.840000e+002
    3: 9.100000e+001 1.520000e+002 2.130000e+002 2.740000e+002
    4: 1.210000e+002 2.020000e+002 2.830000e+002 3.640000e+002
    5: 1.510000e+002 2.520000e+002 3.530000e+002 4.540000e+002
 
TEST06
  For a triangular matrix A,
  DTRMV computes y := A * x or y := A' * x
 
  Result y = A * x
 
         1:  7.00000000e+001
         2:  8.20000000e+001
         3:  8.60000000e+001
         4:  7.70000000e+001
         5:  5.00000000e+001
 
  Result y = A' * x
 
         1:  2.00000000e+000
         2:  1.10000000e+001
         3:  3.20000000e+001
         4:  7.00000000e+001
         5:  1.30000000e+002
 
blas2_d_test():
  Normal end of execution.
 
rc= 0
** blas/blas2-s-test.f
 
blas2_s_test():
  FORTRAN77 version
  Test blas2_s().
 
TEST01
  For a general matrix A,
  SGEMV computes y := alpha * A * x + beta * y
  or             y := alpha * A' * x + beta * y.
 
  Matrix A:
 
  Col         1             2             3             4       
  Row
 
    1: 1.100000e+001 1.200000e+001 1.300000e+001 1.400000e+001
    2: 2.100000e+001 2.200000e+001 2.300000e+001 2.400000e+001
    3: 3.100000e+001 3.200000e+001 3.300000e+001 3.400000e+001
    4: 4.100000e+001 4.200000e+001 4.300000e+001 4.400000e+001
    5: 5.100000e+001 5.200000e+001 5.300000e+001 5.400000e+001
 
  Vector X:
 
         1:    1.000000e+000
         2:    2.000000e+000
         3:    3.000000e+000
         4:    4.000000e+000
 
  Vector Y:
 
         1:    1.000000e+001
         2:    2.000000e+001
         3:    3.000000e+001
         4:    4.000000e+001
         5:    5.000000e+001
 
  Result Y = alpha * A  * x + beta * y
 
         1:    2.900000e+002
         2:    5.200000e+002
         3:    7.500000e+002
         4:    9.800000e+002
         5:    1.210000e+003
 
  Matrix A:
 
  Col         1             2             3             4       
  Row
 
    1: 1.100000e+001 2.100000e+001 3.100000e+001 4.100000e+001
    2: 1.200000e+001 2.200000e+001 3.200000e+001 4.200000e+001
    3: 1.300000e+001 2.300000e+001 3.300000e+001 4.300000e+001
    4: 1.400000e+001 2.400000e+001 3.400000e+001 4.400000e+001
    5: 1.500000e+001 2.500000e+001 3.500000e+001 4.500000e+001
 
  Vector X:
 
         1:    1.000000e+000
         2:    2.000000e+000
         3:    3.000000e+000
         4:    4.000000e+000
         5:    5.000000e+000
 
  Vector Y:
 
         1:    1.000000e+001
         2:    2.000000e+001
         3:    3.000000e+001
         4:    4.000000e+001
 
  Result Y = alpha * A' * x + beta * y
 
         1:    4.400000e+002
         2:    7.700000e+002
         3:    1.100000e+003
         4:    1.430000e+003
 
TEST02
  For a general band matrix A,
  SGBMV computes 
  y := alpha * A * x + beta * y
 
  Result vector Y
 
         1:    3.000000e+001
         2:    6.000000e+001
         3:    9.000000e+001
         4:    1.200000e+002
         5:    1.620000e+002
 
TEST03
  For a general symmetric matrix A,
  SSYMV computes 
  y := alpha * A * x + beta * y
 
  Result vector Y
 
         1:    3.000000e+001
         2:    6.000000e+001
         3:    9.000000e+001
         4:    1.200000e+002
         5:    1.620000e+002
 
TEST04
  For a symmetric band matrix A,
  SSBMV computes 
  y := alpha * A * x + beta * y
 
  Result vector Y
 
         1:    3.000000e+001
         2:    6.000000e+001
         3:    9.000000e+001
         4:    1.200000e+002
         5:    1.620000e+002
 
TEST05
  For a general matrix A,
  SGER computes A := A + alpha * x * y'
 
  Matrix A:
 
  Col         1             2             3             4       
  Row
 
    1: 1.100000e+001 1.200000e+001 1.300000e+001 1.400000e+001
    2: 2.100000e+001 2.200000e+001 2.300000e+001 2.400000e+001
    3: 3.100000e+001 3.200000e+001 3.300000e+001 3.400000e+001
    4: 4.100000e+001 4.200000e+001 4.300000e+001 4.400000e+001
    5: 5.100000e+001 5.200000e+001 5.300000e+001 5.400000e+001
 
  Vector X:
 
         1:    1.000000e+000
         2:    2.000000e+000
         3:    3.000000e+000
         4:    4.000000e+000
         5:    5.000000e+000
 
  Vector Y:
 
         1:    1.000000e+001
         2:    2.000000e+001
         3:    3.000000e+001
         4:    4.000000e+001
 
  Result A = A + alpha * x * y
 
  Col         1             2             3             4       
  Row
 
    1: 3.100000e+001 5.200000e+001 7.300000e+001 9.400000e+001
    2: 6.100000e+001 1.020000e+002 1.430000e+002 1.840000e+002
    3: 9.100000e+001 1.520000e+002 2.130000e+002 2.740000e+002
    4: 1.210000e+002 2.020000e+002 2.830000e+002 3.640000e+002
    5: 1.510000e+002 2.520000e+002 3.530000e+002 4.540000e+002
 
TEST06
  For a triangular matrix A,
  STRMV computes y := A * x or y := A' * x
 
  Result y = A * x
 
         1:    7.000000e+001
         2:    8.200000e+001
         3:    8.600000e+001
         4:    7.700000e+001
         5:    5.000000e+001
 
  Result y = A' * x
 
         1:    2.000000e+000
         2:    1.100000e+001
         3:    3.200000e+001
         4:    7.000000e+001
         5:    1.300000e+002
 
blas2_s_test():
  Normal end of execution.
 
rc= 0
** blas/blas2-z-test.f
 
blas2_z_test():
  FORTRAN77 version
  Test blas2_z().
 
TEST01
  For a general matrix A,
  ZGEMV computes y := alpha * A * x + beta * y
 
  Result vector Y = 
 
   2.830000e+002 7.200000e+001
   3.000000e+002 3.000000e+000
   3.000000e+002 3.000000e+000
   3.000000e+002 3.000000e+000
   3.550000e+002-4.200000e+001
 
blas2_z_test():
  Normal end of execution.
 
rc= 0
** blas/blas3-c-test.f
 
blas3_c_test():
  FORTRAN77 version
  Test blas3_c().
 
TEST01
  CGEMM can combine scale, multiply and add matrices
  using single precision complex arithmetic.
 
  Here, we simply compute C = A * B.
  Because B is inverse ( A ), C should be the identity.
 
  Matrix A:
 
  Col:          1                   2                   3          
  Row
  ---
    1:5.774e-001          5.774e-001          5.774e-001          
    2:5.774e-001          -2.89e-0015.000e-001-2.89e-001-5.00e-001
    3:5.774e-001          -2.89e-001-5.00e-001-2.89e-0015.000e-001
 
  Matrix B:
 
  Col:          1                   2                   3          
  Row
  ---
    1:5.774e-001          5.774e-001          5.774e-001          
    2:5.774e-001          -2.89e-001-5.00e-001-2.89e-0015.000e-001
    3:5.774e-001          -2.89e-0015.000e-001-2.89e-001-5.00e-001
 
  Product C = A * B:
 
  Col:          1                   2                   3          
  Row
  ---
    1:1.000e+000          -2.98e-0082.980e-008-5.96e-0085.960e-008
    2:-2.98e-008-2.98e-0081.000e+000          -1.49e-0082.980e-008
    3:-5.96e-008-5.96e-008-1.49e-008-2.98e-0081.000e+000          
 
blas3_c_test():
  Normal end of execution.
 
rc= 0
** blas/blas3-d-test.f
 
blas3_d_test():
  FORTRAN77 version
  Test blas3_d().

DGEMM_TEST
  DGEMM carries out matrix multiplications
  for double precision real matrices.

  1: C = alpha * A  * B  + beta * C;
  2: C = alpha * A' * B  + beta * C;
  3: C = alpha * A  * B' + beta * C;
  4: C = alpha * A' * B' + beta * C;

  We carry out all four calculations, but in each case,
  we choose our input matrices so that we get the same result.
 
  C = alpha * A * B + beta * C:
 
  Col         1             2             3             4             5       
  Row
 
    1: 1.585000e+003 1.660000e+003 1.735000e+003 1.810000e+003 1.885000e+003
    2: 2.875000e+003 3.010000e+003 3.145000e+003 3.280000e+003 3.415000e+003
    3: 4.165000e+003 4.360000e+003 4.555000e+003 4.750000e+003 4.945000e+003
    4: 5.455000e+003 5.710000e+003 5.965000e+003 6.220000e+003 6.475000e+003
 
  C = alpha * A' * B + beta * C:
 
  Col         1             2             3             4             5       
  Row
 
    1: 1.585000e+003 1.660000e+003 1.735000e+003 1.810000e+003 1.885000e+003
    2: 2.875000e+003 3.010000e+003 3.145000e+003 3.280000e+003 3.415000e+003
    3: 4.165000e+003 4.360000e+003 4.555000e+003 4.750000e+003 4.945000e+003
    4: 5.455000e+003 5.710000e+003 5.965000e+003 6.220000e+003 6.475000e+003
 
  C = alpha * A * B' + beta * C:
 
  Col         1             2             3             4             5       
  Row
 
    1: 1.585000e+003 1.660000e+003 1.735000e+003 1.810000e+003 1.885000e+003
    2: 2.875000e+003 3.010000e+003 3.145000e+003 3.280000e+003 3.415000e+003
    3: 4.165000e+003 4.360000e+003 4.555000e+003 4.750000e+003 4.945000e+003
    4: 5.455000e+003 5.710000e+003 5.965000e+003 6.220000e+003 6.475000e+003
 
  C = alpha * A' * B' + beta * C:
 
  Col         1             2             3             4             5       
  Row
 
    1: 1.585000e+003 1.660000e+003 1.735000e+003 1.810000e+003 1.885000e+003
    2: 2.875000e+003 3.010000e+003 3.145000e+003 3.280000e+003 3.415000e+003
    3: 4.165000e+003 4.360000e+003 4.555000e+003 4.750000e+003 4.945000e+003
    4: 5.455000e+003 5.710000e+003 5.965000e+003 6.220000e+003 6.475000e+003

DTRMM_TEST
  DTRMM multiplies a triangular matrix A and a
  rectangular matrix B

  1: B = alpha * A  * B;
  2: B = alpha * A' * B;
 
  B = alpha * A * B:
 
  Col         1             2             3             4             5       
  Row
 
    1: 8.280000e+002 8.560000e+002 8.840000e+002 9.120000e+002 9.400000e+002
    2: 9.700000e+002 1.000000e+003 1.030000e+003 1.060000e+003 1.090000e+003
    3: 9.460000e+002 9.720000e+002 9.980000e+002 1.024000e+003 1.050000e+003
    4: 6.560000e+002 6.720000e+002 6.880000e+002 7.040000e+002 7.200000e+002
 
  B = alpha * A * B:
 
  Col         1             2             3             4             5       
  Row
 
    1: 4.400000e+001 4.800000e+001 5.200000e+001 5.600000e+001 6.000000e+001
    2: 2.340000e+002 2.480000e+002 2.620000e+002 2.760000e+002 2.900000e+002
    3: 6.700000e+002 7.000000e+002 7.300000e+002 7.600000e+002 7.900000e+002
    4: 1.452000e+003 1.504000e+003 1.556000e+003 1.608000e+003 1.660000e+003

DTRSM_TEST
  DTRSM solves a linear system involving a triangular
  matrix A and a rectangular matrix B.

  1: Solve A  * X  = alpha * B;
  2: Solve A' * X  = alpha * B;
  3: Solve X  * A  = alpha * B;
  4: Solve X  * A' = alpha * B;
 
  X = inv ( A ) * alpha * B:
 
  Col         1             2             3             4             5       
  Row
 
    1:-7.109375e+000-6.927083e+000-6.744792e+000-6.562500e+000-6.380208e+000
    2:-2.843750e+000-2.770833e+000-2.697917e+000-2.625000e+000-2.552083e+000
    3:-1.625000e+000-1.583333e+000-1.541667e+000-1.500000e+000-1.458333e+000
    4: 1.025000e+001 1.050000e+001 1.075000e+001 1.100000e+001 1.125000e+001
 
  X = inv ( A' ) * alpha * B:
 
  Col         1             2             3             4             5       
  Row
 
    1: 1.100000e+001 1.200000e+001 1.300000e+001 1.400000e+001 1.500000e+001
    2: 2.250000e+000 2.000000e+000 1.750000e+000 1.500000e+000 1.250000e+000
    3: 1.125000e+000 1.000000e+000 8.750000e-001 7.500000e-001 6.250000e-001
    4: 7.031250e-001 6.250000e-001 5.468750e-001 4.687500e-001 3.906250e-001
 
  X = alpha * B * inv ( A ):
 
  Col         1             2             3             4             5       
  Row
 
    1: 1.100000e+001-2.250000e+000-1.125000e+000-7.031250e-001-4.921875e-001
    2: 2.100000e+001-4.750000e+000-2.375000e+000-1.484375e+000-1.039062e+000
    3: 3.100000e+001-7.250000e+000-3.625000e+000-2.265625e+000-1.585937e+000
    4: 4.100000e+001-9.750000e+000-4.875000e+000-3.046875e+000-2.132812e+000
 
  X = alpha * B * inv ( A' ):
 
  Col         1             2             3             4             5       
  Row
 
    1: 8.203125e-001 3.281250e-001 1.875000e-001 1.250000e-001 3.000000e+000
    2: 2.460937e+000 9.843750e-001 5.625000e-001 3.750000e-001 5.000000e+000
    3: 4.101562e+000 1.640625e+000 9.375000e-001 6.250000e-001 7.000000e+000
    4: 5.742187e+000 2.296875e+000 1.312500e+000 8.750000e-001 9.000000e+000
 
blas3_d_test():
  Normal end of execution.
 
rc= 0
** blas/blas3-s-test.f
 
blas3_s_test():
  FORTRAN77 version
  Test blas3_s().

TEST01
  SGEMM multiplies two matrices.

  1: C = alpha * A  * B  + beta * C;
  2: C = alpha * A' * B  + beta * C;
  3: C = alpha * A  * B' + beta * C;
  4: C = alpha * A' * B' + beta * C;

  We carry out all four calculations, but in each case,
  we choose our input matrices so that we get the same result.
 
  C = alpha * A * B + beta * C:
 
  Col         1             2             3             4             5       
  Row
 
    1: 1.585000e+003 1.660000e+003 1.735000e+003 1.810000e+003 1.885000e+003
    2: 2.875000e+003 3.010000e+003 3.145000e+003 3.280000e+003 3.415000e+003
    3: 4.165000e+003 4.360000e+003 4.555000e+003 4.750000e+003 4.945000e+003
    4: 5.455000e+003 5.710000e+003 5.965000e+003 6.220000e+003 6.475000e+003
 
  C = alpha * A' * B + beta * C:
 
  Col         1             2             3             4             5       
  Row
 
    1: 1.585000e+003 1.660000e+003 1.735000e+003 1.810000e+003 1.885000e+003
    2: 2.875000e+003 3.010000e+003 3.145000e+003 3.280000e+003 3.415000e+003
    3: 4.165000e+003 4.360000e+003 4.555000e+003 4.750000e+003 4.945000e+003
    4: 5.455000e+003 5.710000e+003 5.965000e+003 6.220000e+003 6.475000e+003
 
  C = alpha * A * B' + beta * C:
 
  Col         1             2             3             4             5       
  Row
 
    1: 1.585000e+003 1.660000e+003 1.735000e+003 1.810000e+003 1.885000e+003
    2: 2.875000e+003 3.010000e+003 3.145000e+003 3.280000e+003 3.415000e+003
    3: 4.165000e+003 4.360000e+003 4.555000e+003 4.750000e+003 4.945000e+003
    4: 5.455000e+003 5.710000e+003 5.965000e+003 6.220000e+003 6.475000e+003
 
  C = alpha * A' * B' + beta * C:
 
  Col         1             2             3             4             5       
  Row
 
    1: 1.585000e+003 1.660000e+003 1.735000e+003 1.810000e+003 1.885000e+003
    2: 2.875000e+003 3.010000e+003 3.145000e+003 3.280000e+003 3.415000e+003
    3: 4.165000e+003 4.360000e+003 4.555000e+003 4.750000e+003 4.945000e+003
    4: 5.455000e+003 5.710000e+003 5.965000e+003 6.220000e+003 6.475000e+003

TEST02
  STRMM multiplies a triangular matrix A and a
  rectangular matrix B

  1: B = alpha * A  * B;
  2: B = alpha * A' * B;
 
  B = alpha * A * B:
 
  Col         1             2             3             4             5       
  Row
 
    1: 8.280000e+002 8.560000e+002 8.840000e+002 9.120000e+002 9.400000e+002
    2: 9.700000e+002 1.000000e+003 1.030000e+003 1.060000e+003 1.090000e+003
    3: 9.460000e+002 9.720000e+002 9.980000e+002 1.024000e+003 1.050000e+003
    4: 6.560000e+002 6.720000e+002 6.880000e+002 7.040000e+002 7.200000e+002
 
  B = alpha * A * B:
 
  Col         1             2             3             4             5       
  Row
 
    1: 4.400000e+001 4.800000e+001 5.200000e+001 5.600000e+001 6.000000e+001
    2: 2.340000e+002 2.480000e+002 2.620000e+002 2.760000e+002 2.900000e+002
    3: 6.700000e+002 7.000000e+002 7.300000e+002 7.600000e+002 7.900000e+002
    4: 1.452000e+003 1.504000e+003 1.556000e+003 1.608000e+003 1.660000e+003

TEST03
  STRSM solves a linear system involving a triangular
  matrix A and a rectangular matrix B.

  1: Solve A  * X  = alpha * B;
  2: Solve A' * X  = alpha * B;
  3: Solve X  * A  = alpha * B;
  4: Solve X  * A' = alpha * B;
 
  X = inv ( A ) * alpha * B:
 
  Col         1             2             3             4             5       
  Row
 
    1:-7.109375e+000-6.927083e+000-6.744792e+000-6.562500e+000-6.380208e+000
    2:-2.843750e+000-2.770833e+000-2.697917e+000-2.625000e+000-2.552083e+000
    3:-1.625000e+000-1.583333e+000-1.541667e+000-1.500000e+000-1.458333e+000
    4: 1.025000e+001 1.050000e+001 1.075000e+001 1.100000e+001 1.125000e+001
 
  X = inv ( A' ) * alpha * B:
 
  Col         1             2             3             4             5       
  Row
 
    1: 1.100000e+001 1.200000e+001 1.300000e+001 1.400000e+001 1.500000e+001
    2: 2.250000e+000 2.000000e+000 1.750000e+000 1.500000e+000 1.250000e+000
    3: 1.125000e+000 1.000000e+000 8.750000e-001 7.500000e-001 6.250000e-001
    4: 7.031250e-001 6.250000e-001 5.468750e-001 4.687500e-001 3.906250e-001
 
  X = alpha * B * inv ( A ):
 
  Col         1             2             3             4             5       
  Row
 
    1: 1.100000e+001-2.250000e+000-1.125000e+000-7.031250e-001-4.921875e-001
    2: 2.100000e+001-4.750000e+000-2.375000e+000-1.484375e+000-1.039062e+000
    3: 3.100000e+001-7.250000e+000-3.625000e+000-2.265625e+000-1.585937e+000
    4: 4.100000e+001-9.750000e+000-4.875000e+000-3.046875e+000-2.132812e+000
 
  X = alpha * B * inv ( A' ):
 
  Col         1             2             3             4             5       
  Row
 
    1: 8.203125e-001 3.281250e-001 1.875000e-001 1.250000e-001 3.000000e+000
    2: 2.460937e+000 9.843750e-001 5.625000e-001 3.750000e-001 5.000000e+000
    3: 4.101562e+000 1.640625e+000 9.375000e-001 6.250000e-001 7.000000e+000
    4: 5.742187e+000 2.296875e+000 1.312500e+000 8.750000e-001 9.000000e+000
 
blas3_s_test():
  Normal end of execution.
 
rc= 0
** blas/blas3-z-test.f
 
blas3_z_test():
  FORTRAN77 version
  Test blas3_z().
 
TEST01
  ZGEMM can combine scale, multiply and add matrices
  using single precision complex arithmetic.
 
  Here, we simply compute C = A * B.
  Because B is inverse ( A ), C should be the identity.
 
  Matrix A:
 
  Col:          1                   2                   3          
  Row
  ---
    1:5.774e-001          5.774e-001          5.774e-001          
    2:5.774e-001          -2.89e-0015.000e-001-2.89e-001-5.00e-001
    3:5.774e-001          -2.89e-001-5.00e-001-2.89e-0015.000e-001
 
  Matrix B:
 
  Col:          1                   2                   3          
  Row
  ---
    1:5.774e-001          5.774e-001          5.774e-001          
    2:5.774e-001          -2.89e-001-5.00e-001-2.89e-0015.000e-001
    3:5.774e-001          -2.89e-0015.000e-001-2.89e-001-5.00e-001
 
  Product C = A * B:
 
  Col:          1                   2                   3          
  Row
  ---
    1:1.000e+000          -2.78e-017-1.11e-0161.110e-016-2.22e-016
    2:-2.78e-0171.110e-0161.000e+000          -2.78e-017-1.11e-016
    3:1.110e-0162.220e-016-2.78e-0171.110e-0161.000e+000          
 
blas3_z_test():
  Normal end of execution.
 
rc= 0
** blas/blas-test.f
 
blas_test():
  FORTRAN77 version
  Test blas().
 
TEST01
  CAXPY adds a multiple of one
  single precision complex vector to another.
 
  X = 
 
       1     2.0    -1.0
       2    -4.0    -2.0
       3     3.0     1.0
       4     2.0     2.0
       5    -1.0    -1.0
 
  Y = 
 
       1    -1.0     0.0
       2     0.0    -3.0
       3     4.0     0.0
       4    -3.0     4.0
       5    -2.0     0.0
 
  The scalar multiplier is:  5.000000e-001-1.000000e+000
 
  A * X + Y = 
 
       1 -1.000000 -2.500000
       2 -4.000000  0.000000
       3  6.500000 -2.500000
       4  0.000000  3.000000
       5 -3.500000  0.500000
 
test02
  DASUM adds the absolute values of 
  elements of a double precision vector.
 
  X = 
 
       1-2.000000e+000
       2 4.000000e+000
       3-6.000000e+000
       4 8.000000e+000
       5-1.000000e+001
       6 1.200000e+001
       7-1.400000e+001
       8 1.600000e+001
       9-1.800000e+001
      10 2.000000e+001
 
  DASUM ( NX, X, 1 ) =    1.100000e+002
  DASUM ( NX/2, X, 2 ) =  5.000000e+001
  DASUM ( 2, X, NX/2 ) =  1.400000e+001
 
  Demonstrate with a matrix A:
 
   1.100000e+001-1.200000e+001 1.300000e+001-1.400000e+001
  -2.100000e+001 2.200000e+001-2.300000e+001 2.400000e+001
   3.100000e+001-3.200000e+001 3.300000e+001-3.400000e+001
  -4.100000e+001 4.200000e+001-4.300000e+001 4.400000e+001
   5.100000e+001-5.200000e+001 5.300000e+001-5.400000e+001
 
  DASUM(MA,A(1,2),1) =    1.600000e+002
  DASUM(NA,A(2,1),LDA) =  9.000000e+001
 
TEST03
  SDOT computes the dot product of vectors.
 
  Dot product of X and Y is -5.500000e+001
 
  Product of row 2 of A and X is  8.500000e+001
 
  Product of column 2 of A and X is  8.500000e+001
 
  Matrix product computed with SDOT:
 
   5.000000e+001 3.000000e+001 1.000000e+001-1.000000e+001-3.000000e+001
   6.000000e+001 3.500000e+001 1.000000e+001-1.500000e+001-4.000000e+001
   7.000000e+001 4.000000e+001 1.000000e+001-2.000000e+001-5.000000e+001
   8.000000e+001 4.500000e+001 1.000000e+001-2.500000e+001-6.000000e+001
   9.000000e+001 5.000000e+001 1.000000e+001-3.000000e+001-7.000000e+001
 
TEST04
  ZSCAL multiplies a double complex scalar 
  times a vector.
 
  X = 
 
       1    10.0     1.0
       2    20.0     2.0
       3    30.0     3.0
       4    40.0     4.0
       5    50.0     5.0
       6    60.0     6.0
 
  ZSCAL ( N, (  5.0000  0.0000), X, 1 )
 
       1    50.0     5.0
       2   100.0    10.0
       3   150.0    15.0
       4   200.0    20.0
       5   250.0    25.0
       6   300.0    30.0
 
  ZSCAL ( 3, ( -2.0000  1.0000), X, 2 )
 
       1   -21.0     8.0
       2    20.0     2.0
       3   -63.0    24.0
       4    40.0     4.0
       5  -105.0    40.0
       6    60.0     6.0
 
TEST05
  For a general matrix A,
  CGEMV computes y := alpha * A * x + beta * y
 
  Result vector Y = 
 
   2.830000e+002 7.200000e+001
   3.000000e+002 3.000000e+000
   3.000000e+002 3.000000e+000
   3.000000e+002 3.000000e+000
   3.550000e+002-4.200000e+001
 
TEST06
  For a general symmetric matrix A,
  DSYMV computes 
  y := alpha * A * x + beta * y

  Result vector y:

 3.000000e+001
 6.000000e+001
 9.000000e+001
 1.200000e+002
 1.620000e+002
 
TEST07
  For a general band matrix A,
  SGBMV computes 
  y := alpha * A * x + beta * y

  Result vector y:

 3.000000e+001
 6.000000e+001
 9.000000e+001
 1.200000e+002
 1.620000e+002
 
TEST08
  For a general matrix A,
  ZGEMV computes y := alpha * A * x + beta * y
 
  Result vector Y = 
 
   2.830000e+002 7.200000e+001
   3.000000e+002 3.000000e+000
   3.000000e+002 3.000000e+000
   3.000000e+002 3.000000e+000
   3.550000e+002-4.200000e+001
 
blas_test():
  Normal end of execution.
 
rc= 0
** blas/cblat1.f
 complex blas test program results
 

 test of subprogram number  1            cdotc 
                                    ----- pass -----

 test of subprogram number  2            cdotu 
                                    ----- pass -----

 test of subprogram number  3            caxpy 
                                    ----- pass -----

 test of subprogram number  4            ccopy 
                                    ----- pass -----

 test of subprogram number  5            cswap 
                                    ----- pass -----

 test of subprogram number  6            scnrm2
                                    ----- pass -----

 test of subprogram number  7            scasum
                                    ----- pass -----

 test of subprogram number  8            cscal 
                                    ----- pass -----

 test of subprogram number  9            csscal
                                    ----- pass -----

 test of subprogram number 10            icamax
                                    ----- pass -----
rc= 0
** blas/dblat1.f
 real blas test program results
 

 test of subprogram number  1             ddot 
                                    ----- pass -----

 test of subprogram number  2            daxpy 
                                    ----- pass -----

 test of subprogram number  3            drotg 
                                    ----- pass -----

 test of subprogram number  4             drot 
                                    ----- pass -----

 test of subprogram number  5            dcopy 
                                    ----- pass -----

 test of subprogram number  6            dswap 
                                    ----- pass -----

 test of subprogram number  7            dnrm2 
                                    ----- pass -----

 test of subprogram number  8            dasum 
                                    ----- pass -----

 test of subprogram number  9            dscal 
                                    ----- pass -----

 test of subprogram number 10            idamax
                                    ----- pass -----
rc= 0
** blas/sblat1.f
 real blas test program results
 

 test of subprogram number  1             sdot 
                                    ----- pass -----

 test of subprogram number  2            saxpy 
                                    ----- pass -----

 test of subprogram number  3            srotg 
                                    ----- pass -----

 test of subprogram number  4             srot 
                                    ----- pass -----

 test of subprogram number  5            scopy 
                                    ----- pass -----

 test of subprogram number  6            sswap 
                                    ----- pass -----

 test of subprogram number  7            snrm2 
                                    ----- pass -----

 test of subprogram number  8            sasum 
                                    ----- pass -----

 test of subprogram number  9            sscal 
                                    ----- pass -----

 test of subprogram number 10            isamax
                                    ----- pass -----
rc= 0
** blas/zblat1.f
 complex blas test program results
 

 test of subprogram number  1            zdotc 
                                    ----- pass -----

 test of subprogram number  2            zdotu 
                                    ----- pass -----

 test of subprogram number  3            zaxpy 
                                    ----- pass -----

 test of subprogram number  4            zcopy 
                                    ----- pass -----

 test of subprogram number  5            zswap 
                                    ----- pass -----

 test of subprogram number  6            dznrm2
                                    ----- pass -----

 test of subprogram number  7            dzasum
                                    ----- pass -----

 test of subprogram number  8            zscal 
                                    ----- pass -----

 test of subprogram number  9            zdscal
                                    ----- pass -----

 test of subprogram number 10            izamax
                                    ----- pass -----
rc= 0
** dist/axxbc.f
2.220446049250313e-016
-solution of 10 by  5 matrix equation
 maximal error =  2.459144e-014
-solution of 10 by  5 matrix equation
 maximal error =  2.298162e-014
rc= 0
** dist/cblat1.f
 complex blas test program results
 

 test of subprogram number  1            cdotc 
                                    ----- pass -----

 test of subprogram number  2            cdotu 
                                    ----- pass -----

 test of subprogram number  3            caxpy 
                                    ----- pass -----

 test of subprogram number  4            ccopy 
                                    ----- pass -----

 test of subprogram number  5            cswap 
                                    ----- pass -----

 test of subprogram number  6            scnrm2
                                    ----- pass -----

 test of subprogram number  7            scasum
                                    ----- pass -----

 test of subprogram number  8            cscal 
                                    ----- pass -----

 test of subprogram number  9            csscal
                                    ----- pass -----

 test of subprogram number 10            icamax
                                    ----- pass -----
rc= 0
** dist/cnsimp.f

 Ritz values (Real, Imag) and relative residuals
 
               col   1       col   2       col   3       
  row   1:   7.16197e+002  1.02958e+003  1.16484e-006
  row   2:   7.16198e+002 -1.02959e+003  2.09602e-006
  row   3:   6.87586e+002 -1.02959e+003  1.77192e-005
  row   4:   6.87586e+002  1.02959e+003  6.66033e-006
  
 
_NSIMP 
====== 
 
 Size of the matrix is 100
 The number of Ritz values requested is 4
 The number of Arnoldi vectors generated (NCV) is 20
 What portion of the spectrum: LM
 The number of converged Ritz values is 4
 The number of Implicit Arnoldi update iterations taken is 11
 The number of OP*x is 177
 The convergence criterion is 5.960464e-008
 
rc= 0
** dist/dblat1.f
 real blas test program results
 

 test of subprogram number  1             ddot 
                                    ----- pass -----

 test of subprogram number  2            daxpy 
                                    ----- pass -----

 test of subprogram number  3            drotg 
                                    ----- pass -----

 test of subprogram number  4             drot 
                                    ----- pass -----

 test of subprogram number  5            dcopy 
                                    ----- pass -----

 test of subprogram number  6            dswap 
                                    ----- pass -----

 test of subprogram number  7            dnrm2 
                                    ----- pass -----

 test of subprogram number  8            dasum 
                                    ----- pass -----

 test of subprogram number  9            dscal 
                                    ----- pass -----

 test of subprogram number 10            idamax
                                    ----- pass -----
rc= 0
** dist/dlamch.f
1.110223024625157e-016
2.225073858507201e-308
2.000000000000000e+000
2.220446049250313e-016
5.300000000000000e+001
1.000000000000000e+000
-1.021000000000000e+003
2.225073858507201e-308
1.024000000000000e+003
1.797693134862316e+308
rc= 0
** dist/dlap-test.f

                * random matrix of size  441*
                number of non-zeros & density = 33173  1.7057194e-001
                error tolerance =   1.0000000e-006

 dsjac  : itol = 11   isym = 0
     iter =    0 error estimate =   1.0000000e+000
     iter =    1 error estimate =   8.2715387e-001
     iter =    2 error estimate =   8.0930023e-001
     iter =    3 error estimate =   7.8935428e-001
     iter =    4 error estimate =   7.7061059e-001
     iter =    5 error estimate =   7.5200301e-001
     iter =    6 error estimate =   7.3389336e-001
     iter =    7 error estimate =   7.1619966e-001
     iter =    8 error estimate =   6.9893625e-001
     iter =    9 error estimate =   6.8208762e-001
     iter =   10 error estimate =   6.6564542e-001
     iter =   11 error estimate =   6.4959948e-001
     iter =   12 error estimate =   6.3394036e-001
     iter =   13 error estimate =   6.1865870e-001
     iter =   14 error estimate =   6.0374543e-001
     iter =   15 error estimate =   5.8919165e-001
     iter =   16 error estimate =   5.7498871e-001
     iter =   17 error estimate =   5.6112813e-001
     iter =   18 error estimate =   5.4760168e-001
     iter =   19 error estimate =   5.3440130e-001
     iter =   20 error estimate =   5.2151912e-001
     iter =   21 error estimate =   5.0894747e-001
     iter =   22 error estimate =   4.9667888e-001
     iter =   23 error estimate =   4.8470603e-001
     iter =   24 error estimate =   4.7302179e-001
     iter =   25 error estimate =   4.6161921e-001
     iter =   26 error estimate =   4.5049150e-001
     iter =   27 error estimate =   4.3963204e-001
     iter =   28 error estimate =   4.2903435e-001
     iter =   29 error estimate =   4.1869212e-001
     iter =   30 error estimate =   4.0859921e-001
     iter =   31 error estimate =   3.9874959e-001
     iter =   32 error estimate =   3.8913741e-001
     iter =   33 error estimate =   3.7975693e-001
     iter =   34 error estimate =   3.7060258e-001
     iter =   35 error estimate =   3.6166890e-001
     iter =   36 error estimate =   3.5295058e-001
     iter =   37 error estimate =   3.4444241e-001
     iter =   38 error estimate =   3.3613935e-001
     iter =   39 error estimate =   3.2803643e-001
     iter =   40 error estimate =   3.2012885e-001
     iter =   41 error estimate =   3.1241188e-001
     iter =   42 error estimate =   3.0488094e-001
     iter =   43 error estimate =   2.9753153e-001
     iter =   44 error estimate =   2.9035929e-001
     iter =   45 error estimate =   2.8335994e-001
     iter =   46 error estimate =   2.7652932e-001
     iter =   47 error estimate =   2.6986335e-001
     iter =   48 error estimate =   2.6335808e-001
     iter =   49 error estimate =   2.5700962e-001
     iter =   50 error estimate =   2.5081419e-001
     iter =   51 error estimate =   2.4476811e-001
     iter =   52 error estimate =   2.3886777e-001
     iter =   53 error estimate =   2.3310967e-001
     iter =   54 error estimate =   2.2749037e-001
     iter =   55 error estimate =   2.2200653e-001
     iter =   56 error estimate =   2.1665488e-001
     iter =   57 error estimate =   2.1143224e-001
     iter =   58 error estimate =   2.0633549e-001
     iter =   59 error estimate =   2.0136160e-001
     iter =   60 error estimate =   1.9650762e-001
     iter =   61 error estimate =   1.9177064e-001
     iter =   62 error estimate =   1.8714785e-001
     iter =   63 error estimate =   1.8263650e-001
     iter =   64 error estimate =   1.7823390e-001
     iter =   65 error estimate =   1.7393742e-001
     iter =   66 error estimate =   1.6974452e-001
     iter =   67 error estimate =   1.6565269e-001
     iter =   68 error estimate =   1.6165950e-001
     iter =   69 error estimate =   1.5776256e-001
     iter =   70 error estimate =   1.5395957e-001
     iter =   71 error estimate =   1.5024825e-001
     iter =   72 error estimate =   1.4662639e-001
     iter =   73 error estimate =   1.4309184e-001
     iter =   74 error estimate =   1.3964249e-001
     iter =   75 error estimate =   1.3627630e-001
     iter =   76 error estimate =   1.3299125e-001
     iter =   77 error estimate =   1.2978538e-001
     iter =   78 error estimate =   1.2665680e-001
     iter =   79 error estimate =   1.2360363e-001
     iter =   80 error estimate =   1.2062407e-001
     iter =   81 error estimate =   1.1771633e-001
     iter =   82 error estimate =   1.1487868e-001
     iter =   83 error estimate =   1.1210943e-001
     iter =   84 error estimate =   1.0940694e-001
     iter =   85 error estimate =   1.0676960e-001
     iter =   86 error estimate =   1.0419583e-001
     iter =   87 error estimate =   1.0168411e-001
     iter =   88 error estimate =   9.9232927e-002
     iter =   89 error estimate =   9.6840836e-002
     iter =   90 error estimate =   9.4506409e-002
     iter =   91 error estimate =   9.2228254e-002
     iter =   92 error estimate =   9.0005017e-002
     iter =   93 error estimate =   8.7835372e-002
     iter =   94 error estimate =   8.5718029e-002
     iter =   95 error estimate =   8.3651726e-002
     iter =   96 error estimate =   8.1635232e-002
     iter =   97 error estimate =   7.9667348e-002
     iter =   98 error estimate =   7.7746902e-002
     iter =   99 error estimate =   7.5872749e-002
     iter =  100 error estimate =   7.4043775e-002
     iter =  101 error estimate =   7.2258889e-002
     iter =  102 error estimate =   7.0517029e-002
     iter =  103 error estimate =   6.8817159e-002
     iter =  104 error estimate =   6.7158265e-002
     iter =  105 error estimate =   6.5539360e-002
     iter =  106 error estimate =   6.3959480e-002
     iter =  107 error estimate =   6.2417684e-002
     iter =  108 error estimate =   6.0913055e-002
     iter =  109 error estimate =   5.9444696e-002
     iter =  110 error estimate =   5.8011733e-002
     iter =  111 error estimate =   5.6613313e-002
     iter =  112 error estimate =   5.5248603e-002
     iter =  113 error estimate =   5.3916790e-002
     iter =  114 error estimate =   5.2617082e-002
     iter =  115 error estimate =   5.1348704e-002
     iter =  116 error estimate =   5.0110901e-002
     iter =  117 error estimate =   4.8902937e-002
     iter =  118 error estimate =   4.7724092e-002
     iter =  119 error estimate =   4.6573663e-002
     iter =  120 error estimate =   4.5450967e-002
     iter =  121 error estimate =   4.4355334e-002
     iter =  122 error estimate =   4.3286113e-002
     iter =  123 error estimate =   4.2242666e-002
     iter =  124 error estimate =   4.1224372e-002
     iter =  125 error estimate =   4.0230625e-002
     iter =  126 error estimate =   3.9260832e-002
     iter =  127 error estimate =   3.8314418e-002
     iter =  128 error estimate =   3.7390818e-002
     iter =  129 error estimate =   3.6489481e-002
     iter =  130 error estimate =   3.5609873e-002
     iter =  131 error estimate =   3.4751467e-002
     iter =  132 error estimate =   3.3913755e-002
     iter =  133 error estimate =   3.3096236e-002
     iter =  134 error estimate =   3.2298424e-002
     iter =  135 error estimate =   3.1519844e-002
     iter =  136 error estimate =   3.0760033e-002
     iter =  137 error estimate =   3.0018537e-002
     iter =  138 error estimate =   2.9294916e-002
     iter =  139 error estimate =   2.8588738e-002
     iter =  140 error estimate =   2.7899583e-002
     iter =  141 error estimate =   2.7227041e-002
     iter =  142 error estimate =   2.6570710e-002
     iter =  143 error estimate =   2.5930202e-002
     iter =  144 error estimate =   2.5305133e-002
     iter =  145 error estimate =   2.4695132e-002
     iter =  146 error estimate =   2.4099836e-002
     iter =  147 error estimate =   2.3518890e-002
     iter =  148 error estimate =   2.2951947e-002
     iter =  149 error estimate =   2.2398672e-002
     iter =  150 error estimate =   2.1858734e-002
     iter =  151 error estimate =   2.1331811e-002
     iter =  152 error estimate =   2.0817590e-002
     iter =  153 error estimate =   2.0315765e-002
     iter =  154 error estimate =   1.9826037e-002
     iter =  155 error estimate =   1.9348114e-002
     iter =  156 error estimate =   1.8881712e-002
     iter =  157 error estimate =   1.8426553e-002
     iter =  158 error estimate =   1.7982366e-002
     iter =  159 error estimate =   1.7548886e-002
     iter =  160 error estimate =   1.7125856e-002
     iter =  161 error estimate =   1.6713023e-002
     iter =  162 error estimate =   1.6310142e-002
     iter =  163 error estimate =   1.5916973e-002
     iter =  164 error estimate =   1.5533281e-002
     iter =  165 error estimate =   1.5158839e-002
     iter =  166 error estimate =   1.4793423e-002
     iter =  167 error estimate =   1.4436815e-002
     iter =  168 error estimate =   1.4088804e-002
     iter =  169 error estimate =   1.3749182e-002
     iter =  170 error estimate =   1.3417746e-002
     iter =  171 error estimate =   1.3094301e-002
     iter =  172 error estimate =   1.2778652e-002
     iter =  173 error estimate =   1.2470612e-002
     iter =  174 error estimate =   1.2169998e-002
     iter =  175 error estimate =   1.1876630e-002
     iter =  176 error estimate =   1.1590334e-002
     iter =  177 error estimate =   1.1310940e-002
     iter =  178 error estimate =   1.1038280e-002
     iter =  179 error estimate =   1.0772193e-002
     iter =  180 error estimate =   1.0512521e-002
     iter =  181 error estimate =   1.0259108e-002
     iter =  182 error estimate =   1.0011804e-002
     iter =  183 error estimate =   9.7704610e-003
     iter =  184 error estimate =   9.5349360e-003
     iter =  185 error estimate =   9.3050886e-003
     iter =  186 error estimate =   9.0807818e-003
     iter =  187 error estimate =   8.8618822e-003
     iter =  188 error estimate =   8.6482593e-003
     iter =  189 error estimate =   8.4397859e-003
     iter =  190 error estimate =   8.2363380e-003
     iter =  191 error estimate =   8.0377943e-003
     iter =  192 error estimate =   7.8440367e-003
     iter =  193 error estimate =   7.6549498e-003
     iter =  194 error estimate =   7.4704209e-003
     iter =  195 error estimate =   7.2903403e-003
     iter =  196 error estimate =   7.1146007e-003
     iter =  197 error estimate =   6.9430975e-003
     iter =  198 error estimate =   6.7757284e-003
     iter =  199 error estimate =   6.6123939e-003
     iter =  200 error estimate =   6.4529968e-003
     iter =  201 error estimate =   6.2974420e-003
     iter =  202 error estimate =   6.1456370e-003
     iter =  203 error estimate =   5.9974914e-003
     iter =  204 error estimate =   5.8529170e-003
     iter =  205 error estimate =   5.7118276e-003
     iter =  206 error estimate =   5.5741394e-003
     iter =  207 error estimate =   5.4397702e-003
     iter =  208 error estimate =   5.3086401e-003
     iter =  209 error estimate =   5.1806710e-003
     iter =  210 error estimate =   5.0557866e-003
     iter =  211 error estimate =   4.9339128e-003
     iter =  212 error estimate =   4.8149768e-003
     iter =  213 error estimate =   4.6989078e-003
     iter =  214 error estimate =   4.5856368e-003
     iter =  215 error estimate =   4.4750963e-003
     iter =  216 error estimate =   4.3672204e-003
     iter =  217 error estimate =   4.2619450e-003
     iter =  218 error estimate =   4.1592073e-003
     iter =  219 error estimate =   4.0589462e-003
     iter =  220 error estimate =   3.9611020e-003
     iter =  221 error estimate =   3.8656164e-003
     iter =  222 error estimate =   3.7724326e-003
     iter =  223 error estimate =   3.6814950e-003
     iter =  224 error estimate =   3.5927496e-003
     iter =  225 error estimate =   3.5061434e-003
     iter =  226 error estimate =   3.4216249e-003
     iter =  227 error estimate =   3.3391439e-003
     iter =  228 error estimate =   3.2586511e-003
     iter =  229 error estimate =   3.1800986e-003
     iter =  230 error estimate =   3.1034397e-003
     iter =  231 error estimate =   3.0286288e-003
     iter =  232 error estimate =   2.9556212e-003
     iter =  233 error estimate =   2.8843736e-003
     iter =  234 error estimate =   2.8148434e-003
     iter =  235 error estimate =   2.7469893e-003
     iter =  236 error estimate =   2.6807708e-003
     iter =  237 error estimate =   2.6161487e-003
     iter =  238 error estimate =   2.5530843e-003
     iter =  239 error estimate =   2.4915401e-003
     iter =  240 error estimate =   2.4314795e-003
     iter =  241 error estimate =   2.3728667e-003
     iter =  242 error estimate =   2.3156668e-003
     iter =  243 error estimate =   2.2598457e-003
     iter =  244 error estimate =   2.2053703e-003
     iter =  245 error estimate =   2.1522081e-003
     iter =  246 error estimate =   2.1003273e-003
     iter =  247 error estimate =   2.0496972e-003
     iter =  248 error estimate =   2.0002876e-003
     iter =  249 error estimate =   1.9520690e-003
     iter =  250 error estimate =   1.9050128e-003
     iter =  251 error estimate =   1.8590909e-003
     iter =  252 error estimate =   1.8142760e-003
     iter =  253 error estimate =   1.7705414e-003
     iter =  254 error estimate =   1.7278610e-003
     iter =  255 error estimate =   1.6862095e-003
     iter =  256 error estimate =   1.6455621e-003
     iter =  257 error estimate =   1.6058945e-003
     iter =  258 error estimate =   1.5671831e-003
     iter =  259 error estimate =   1.5294048e-003
     iter =  260 error estimate =   1.4925373e-003
     iter =  261 error estimate =   1.4565584e-003
     iter =  262 error estimate =   1.4214469e-003
     iter =  263 error estimate =   1.3871818e-003
     iter =  264 error estimate =   1.3537426e-003
     iter =  265 error estimate =   1.3211096e-003
     iter =  266 error estimate =   1.2892631e-003
     iter =  267 error estimate =   1.2581844e-003
     iter =  268 error estimate =   1.2278548e-003
     iter =  269 error estimate =   1.1982564e-003
     iter =  270 error estimate =   1.1693714e-003
     iter =  271 error estimate =   1.1411828e-003
     iter =  272 error estimate =   1.1136736e-003
     iter =  273 error estimate =   1.0868276e-003
     iter =  274 error estimate =   1.0606287e-003
     iter =  275 error estimate =   1.0350614e-003
     iter =  276 error estimate =   1.0101104e-003
     iter =  277 error estimate =   9.8576088e-004
     iter =  278 error estimate =   9.6199831e-004
     iter =  279 error estimate =   9.3880855e-004
     iter =  280 error estimate =   9.1617781e-004
     iter =  281 error estimate =   8.9409259e-004
     iter =  282 error estimate =   8.7253976e-004
     iter =  283 error estimate =   8.5150647e-004
     iter =  284 error estimate =   8.3098021e-004
     iter =  285 error estimate =   8.1094876e-004
     iter =  286 error estimate =   7.9140017e-004
     iter =  287 error estimate =   7.7232282e-004
     iter =  288 error estimate =   7.5370535e-004
     iter =  289 error estimate =   7.3553667e-004
     iter =  290 error estimate =   7.1780595e-004
     iter =  291 error estimate =   7.0050266e-004
     iter =  292 error estimate =   6.8361647e-004
     iter =  293 error estimate =   6.6713733e-004
     iter =  294 error estimate =   6.5105544e-004
     iter =  295 error estimate =   6.3536122e-004
     iter =  296 error estimate =   6.2004532e-004
     iter =  297 error estimate =   6.0509862e-004
     iter =  298 error estimate =   5.9051222e-004
     iter =  299 error estimate =   5.7627744e-004
     iter =  300 error estimate =   5.6238580e-004
     iter =  301 error estimate =   5.4882903e-004
     iter =  302 error estimate =   5.3559906e-004
     iter =  303 error estimate =   5.2268800e-004
     iter =  304 error estimate =   5.1008818e-004
     iter =  305 error estimate =   4.9779209e-004
     iter =  306 error estimate =   4.8579240e-004
     iter =  307 error estimate =   4.7408198e-004
     iter =  308 error estimate =   4.6265385e-004
     iter =  309 error estimate =   4.5150120e-004
     iter =  310 error estimate =   4.4061739e-004
     iter =  311 error estimate =   4.2999595e-004
     iter =  312 error estimate =   4.1963055e-004
     iter =  313 error estimate =   4.0951501e-004
     iter =  314 error estimate =   3.9964331e-004
     iter =  315 error estimate =   3.9000959e-004
     iter =  316 error estimate =   3.8060809e-004
     iter =  317 error estimate =   3.7143322e-004
     iter =  318 error estimate =   3.6247952e-004
     iter =  319 error estimate =   3.5374165e-004
     iter =  320 error estimate =   3.4521442e-004
     iter =  321 error estimate =   3.3689274e-004
     iter =  322 error estimate =   3.2877167e-004
     iter =  323 error estimate =   3.2084636e-004
     iter =  324 error estimate =   3.1311209e-004
     iter =  325 error estimate =   3.0556427e-004
     iter =  326 error estimate =   2.9819839e-004
     iter =  327 error estimate =   2.9101008e-004
     iter =  328 error estimate =   2.8399504e-004
     iter =  329 error estimate =   2.7714911e-004
     iter =  330 error estimate =   2.7046820e-004
     iter =  331 error estimate =   2.6394835e-004
     iter =  332 error estimate =   2.5758566e-004
     iter =  333 error estimate =   2.5137634e-004
     iter =  334 error estimate =   2.4531671e-004
     iter =  335 error estimate =   2.3940315e-004
     iter =  336 error estimate =   2.3363214e-004
     iter =  337 error estimate =   2.2800025e-004
     iter =  338 error estimate =   2.2250412e-004
     iter =  339 error estimate =   2.1714047e-004
     iter =  340 error estimate =   2.1190612e-004
     iter =  341 error estimate =   2.0679795e-004
     iter =  342 error estimate =   2.0181292e-004
     iter =  343 error estimate =   1.9694805e-004
     iter =  344 error estimate =   1.9220046e-004
     iter =  345 error estimate =   1.8756731e-004
     iter =  346 error estimate =   1.8304585e-004
     iter =  347 error estimate =   1.7863338e-004
     iter =  348 error estimate =   1.7432727e-004
     iter =  349 error estimate =   1.7012497e-004
     iter =  350 error estimate =   1.6602397e-004
     iter =  351 error estimate =   1.6202183e-004
     iter =  352 error estimate =   1.5811616e-004
     iter =  353 error estimate =   1.5430464e-004
     iter =  354 error estimate =   1.5058500e-004
     iter =  355 error estimate =   1.4695502e-004
     iter =  356 error estimate =   1.4341255e-004
     iter =  357 error estimate =   1.3995548e-004
     iter =  358 error estimate =   1.3658174e-004
     iter =  359 error estimate =   1.3328932e-004
     iter =  360 error estimate =   1.3007627e-004
     iter =  361 error estimate =   1.2694068e-004
     iter =  362 error estimate =   1.2388067e-004
     iter =  363 error estimate =   1.2089442e-004
     iter =  364 error estimate =   1.1798017e-004
     iter =  365 error estimate =   1.1513616e-004
     iter =  366 error estimate =   1.1236071e-004
     iter =  367 error estimate =   1.0965216e-004
     iter =  368 error estimate =   1.0700890e-004
     iter =  369 error estimate =   1.0442937e-004
     iter =  370 error estimate =   1.0191201e-004
     iter =  371 error estimate =   9.9455340e-005
     iter =  372 error estimate =   9.7057887e-005
     iter =  373 error estimate =   9.4718228e-005
     iter =  374 error estimate =   9.2434967e-005
     iter =  375 error estimate =   9.0206747e-005
     iter =  376 error estimate =   8.8032239e-005
     iter =  377 error estimate =   8.5910150e-005
     iter =  378 error estimate =   8.3839216e-005
     iter =  379 error estimate =   8.1818203e-005
     iter =  380 error estimate =   7.9845908e-005
     iter =  381 error estimate =   7.7921157e-005
     iter =  382 error estimate =   7.6042804e-005
     iter =  383 error estimate =   7.4209730e-005
     iter =  384 error estimate =   7.2420844e-005
     iter =  385 error estimate =   7.0675080e-005
     iter =  386 error estimate =   6.8971400e-005
     iter =  387 error estimate =   6.7308788e-005
     iter =  388 error estimate =   6.5686254e-005
     iter =  389 error estimate =   6.4102833e-005
     iter =  390 error estimate =   6.2557582e-005
     iter =  391 error estimate =   6.1049581e-005
     iter =  392 error estimate =   5.9577930e-005
     iter =  393 error estimate =   5.8141756e-005
     iter =  394 error estimate =   5.6740201e-005
     iter =  395 error estimate =   5.5372432e-005
     iter =  396 error estimate =   5.4037634e-005
     iter =  397 error estimate =   5.2735013e-005
     iter =  398 error estimate =   5.1463792e-005
     iter =  399 error estimate =   5.0223216e-005
     iter =  400 error estimate =   4.9012544e-005
     iter =  401 error estimate =   4.7831057e-005
     iter =  402 error estimate =   4.6678050e-005
     iter =  403 error estimate =   4.5552837e-005
     iter =  404 error estimate =   4.4454749e-005
     iter =  405 error estimate =   4.3383131e-005
     iter =  406 error estimate =   4.2337345e-005
     iter =  407 error estimate =   4.1316769e-005
     iter =  408 error estimate =   4.0320794e-005
     iter =  409 error estimate =   3.9348828e-005
     iter =  410 error estimate =   3.8400293e-005
     iter =  411 error estimate =   3.7474622e-005
     iter =  412 error estimate =   3.6571266e-005
     iter =  413 error estimate =   3.5689686e-005
     iter =  414 error estimate =   3.4829357e-005
     iter =  415 error estimate =   3.3989766e-005
     iter =  416 error estimate =   3.3170415e-005
     iter =  417 error estimate =   3.2370815e-005
     iter =  418 error estimate =   3.1590490e-005
     iter =  419 error estimate =   3.0828976e-005
     iter =  420 error estimate =   3.0085818e-005
     iter =  421 error estimate =   2.9360575e-005
     iter =  422 error estimate =   2.8652814e-005
     iter =  423 error estimate =   2.7962115e-005
     iter =  424 error estimate =   2.7288065e-005
     iter =  425 error estimate =   2.6630264e-005
     iter =  426 error estimate =   2.5988320e-005
     iter =  427 error estimate =   2.5361850e-005
     iter =  428 error estimate =   2.4750482e-005
     iter =  429 error estimate =   2.4153851e-005
     iter =  430 error estimate =   2.3571603e-005
     iter =  431 error estimate =   2.3003390e-005
     iter =  432 error estimate =   2.2448875e-005
     iter =  433 error estimate =   2.1907726e-005
     iter =  434 error estimate =   2.1379622e-005
     iter =  435 error estimate =   2.0864249e-005
     iter =  436 error estimate =   2.0361299e-005
     iter =  437 error estimate =   1.9870474e-005
     iter =  438 error estimate =   1.9391480e-005
     iter =  439 error estimate =   1.8924032e-005
     iter =  440 error estimate =   1.8467853e-005
     iter =  441 error estimate =   1.8022670e-005
     iter =  442 error estimate =   1.7588219e-005
     iter =  443 error estimate =   1.7164241e-005
     iter =  444 error estimate =   1.6750482e-005
     iter =  445 error estimate =   1.6346698e-005
     iter =  446 error estimate =   1.5952648e-005
     iter =  447 error estimate =   1.5568096e-005
     iter =  448 error estimate =   1.5192815e-005
     iter =  449 error estimate =   1.4826579e-005
     iter =  450 error estimate =   1.4469172e-005
     iter =  451 error estimate =   1.4120381e-005
     iter =  452 error estimate =   1.3779998e-005
     iter =  453 error estimate =   1.3447820e-005
     iter =  454 error estimate =   1.3123649e-005
     iter =  455 error estimate =   1.2807293e-005
     iter =  456 error estimate =   1.2498563e-005
     iter =  457 error estimate =   1.2197274e-005
     iter =  458 error estimate =   1.1903249e-005
     iter =  459 error estimate =   1.1616312e-005
     iter =  460 error estimate =   1.1336291e-005
     iter =  461 error estimate =   1.1063020e-005
     iter =  462 error estimate =   1.0796337e-005
     iter =  463 error estimate =   1.0536083e-005
     iter =  464 error estimate =   1.0282102e-005
     iter =  465 error estimate =   1.0034243e-005
     iter =  466 error estimate =   9.7923597e-006
     iter =  467 error estimate =   9.5563069e-006
     iter =  468 error estimate =   9.3259443e-006
     iter =  469 error estimate =   9.1011348e-006
     iter =  470 error estimate =   8.8817445e-006
     iter =  471 error estimate =   8.6676427e-006
     iter =  472 error estimate =   8.4587021e-006
     iter =  473 error estimate =   8.2547982e-006
     iter =  474 error estimate =   8.0558095e-006
     iter =  475 error estimate =   7.8616177e-006
     iter =  476 error estimate =   7.6721069e-006
     iter =  477 error estimate =   7.4871645e-006
     iter =  478 error estimate =   7.3066803e-006
     iter =  479 error estimate =   7.1305468e-006
     iter =  480 error estimate =   6.9586591e-006
     iter =  481 error estimate =   6.7909150e-006
     iter =  482 error estimate =   6.6272144e-006
     iter =  483 error estimate =   6.4674600e-006
     iter =  484 error estimate =   6.3115566e-006
     iter =  485 error estimate =   6.1594113e-006
     iter =  486 error estimate =   6.0109337e-006
     iter =  487 error estimate =   5.8660352e-006
     iter =  488 error estimate =   5.7246296e-006
     iter =  489 error estimate =   5.5866328e-006
     iter =  490 error estimate =   5.4519624e-006
     iter =  491 error estimate =   5.3205384e-006
     iter =  492 error estimate =   5.1922825e-006
     iter =  493 error estimate =   5.0671183e-006
     iter =  494 error estimate =   4.9449712e-006
     iter =  495 error estimate =   4.8257687e-006
     iter =  496 error estimate =   4.7094396e-006
     iter =  497 error estimate =   4.5959147e-006
     iter =  498 error estimate =   4.4851264e-006
     iter =  499 error estimate =   4.3770087e-006
     iter =  500 error estimate =   4.2714974e-006
     iter =  501 error estimate =   4.1685294e-006
     iter =  502 error estimate =   4.0680436e-006
     iter =  503 error estimate =   3.9699801e-006
     iter =  504 error estimate =   3.8742805e-006
     iter =  505 error estimate =   3.7808878e-006
     iter =  506 error estimate =   3.6897464e-006
     iter =  507 error estimate =   3.6008020e-006
     iter =  508 error estimate =   3.5140018e-006
     iter =  509 error estimate =   3.4292939e-006
     iter =  510 error estimate =   3.3466279e-006
     iter =  511 error estimate =   3.2659547e-006
     iter =  512 error estimate =   3.1872262e-006
     iter =  513 error estimate =   3.1103955e-006
     iter =  514 error estimate =   3.0354169e-006
     iter =  515 error estimate =   2.9622457e-006
     iter =  516 error estimate =   2.8908383e-006
     iter =  517 error estimate =   2.8211523e-006
     iter =  518 error estimate =   2.7531461e-006
     iter =  519 error estimate =   2.6867793e-006
     iter =  520 error estimate =   2.6220123e-006
     iter =  521 error estimate =   2.5588065e-006
     iter =  522 error estimate =   2.4971244e-006
     iter =  523 error estimate =   2.4369292e-006
     iter =  524 error estimate =   2.3781850e-006
     iter =  525 error estimate =   2.3208569e-006
     iter =  526 error estimate =   2.2649108e-006
     iter =  527 error estimate =   2.2103132e-006
     iter =  528 error estimate =   2.1570318e-006
     iter =  529 error estimate =   2.1050348e-006
     iter =  530 error estimate =   2.0542912e-006
     iter =  531 error estimate =   2.0047709e-006
     iter =  532 error estimate =   1.9564442e-006
     iter =  533 error estimate =   1.9092825e-006
     iter =  534 error estimate =   1.8632577e-006
     iter =  535 error estimate =   1.8183424e-006
     iter =  536 error estimate =   1.7745097e-006
     iter =  537 error estimate =   1.7317337e-006
     iter =  538 error estimate =   1.6899889e-006
     iter =  539 error estimate =   1.6492503e-006
     iter =  540 error estimate =   1.6094938e-006
     iter =  541 error estimate =   1.5706956e-006
     iter =  542 error estimate =   1.5328327e-006
     iter =  543 error estimate =   1.4958825e-006
     iter =  544 error estimate =   1.4598231e-006
     iter =  545 error estimate =   1.4246328e-006
     iter =  546 error estimate =   1.3902909e-006
     iter =  547 error estimate =   1.3567768e-006
     iter =  548 error estimate =   1.3240706e-006
     iter =  549 error estimate =   1.2921528e-006
     iter =  550 error estimate =   1.2610044e-006
     iter =  551 error estimate =   1.2306068e-006
     iter =  552 error estimate =   1.2009420e-006
     iter =  553 error estimate =   1.1719924e-006
     iter =  554 error estimate =   1.1437405e-006
     iter =  555 error estimate =   1.1161697e-006
     iter =  556 error estimate =   1.0892635e-006
     iter =  557 error estimate =   1.0630060e-006
     iter =  558 error estimate =   1.0373813e-006
     iter =  559 error estimate =   1.0123744e-006
     iter =  560 error estimate =   9.8797028e-007
 ***************** passed ***********************
 **** dsjac  quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count = 560 stop test = 9.87970e-007

 dsgs   : itol = 11   isym = 0
     iter =    0 error estimate =   1.0000000e+000
     iter =    1 error estimate =   8.6706647e-001
     iter =    2 error estimate =   8.3312867e-001
     iter =    3 error estimate =   7.9519169e-001
     iter =    4 error estimate =   7.5842238e-001
     iter =    5 error estimate =   7.2333258e-001
     iter =    6 error estimate =   6.8987211e-001
     iter =    7 error estimate =   6.5796040e-001
     iter =    8 error estimate =   6.2752488e-001
     iter =    9 error estimate =   5.9849722e-001
     iter =   10 error estimate =   5.7081230e-001
     iter =   11 error estimate =   5.4440802e-001
     iter =   12 error estimate =   5.1922512e-001
     iter =   13 error estimate =   4.9520712e-001
     iter =   14 error estimate =   4.7230013e-001
     iter =   15 error estimate =   4.5045276e-001
     iter =   16 error estimate =   4.2961599e-001
     iter =   17 error estimate =   4.0974308e-001
     iter =   18 error estimate =   3.9078943e-001
     iter =   19 error estimate =   3.7271253e-001
     iter =   20 error estimate =   3.5547183e-001
     iter =   21 error estimate =   3.3902863e-001
     iter =   22 error estimate =   3.2334605e-001
     iter =   23 error estimate =   3.0838890e-001
     iter =   24 error estimate =   2.9412364e-001
     iter =   25 error estimate =   2.8051825e-001
     iter =   26 error estimate =   2.6754220e-001
     iter =   27 error estimate =   2.5516640e-001
     iter =   28 error estimate =   2.4336307e-001
     iter =   29 error estimate =   2.3210573e-001
     iter =   30 error estimate =   2.2136912e-001
     iter =   31 error estimate =   2.1112917e-001
     iter =   32 error estimate =   2.0136288e-001
     iter =   33 error estimate =   1.9204836e-001
     iter =   34 error estimate =   1.8316470e-001
     iter =   35 error estimate =   1.7469198e-001
     iter =   36 error estimate =   1.6661119e-001
     iter =   37 error estimate =   1.5890419e-001
     iter =   38 error estimate =   1.5155370e-001
     iter =   39 error estimate =   1.4454322e-001
     iter =   40 error estimate =   1.3785703e-001
     iter =   41 error estimate =   1.3148012e-001
     iter =   42 error estimate =   1.2539819e-001
     iter =   43 error estimate =   1.1959760e-001
     iter =   44 error estimate =   1.1406533e-001
     iter =   45 error estimate =   1.0878896e-001
     iter =   46 error estimate =   1.0375667e-001
     iter =   47 error estimate =   9.8957156e-002
     iter =   48 error estimate =   9.4379657e-002
     iter =   49 error estimate =   9.0013900e-002
     iter =   50 error estimate =   8.5850092e-002
     iter =   51 error estimate =   8.1878891e-002
     iter =   52 error estimate =   7.8091387e-002
     iter =   53 error estimate =   7.4479083e-002
     iter =   54 error estimate =   7.1033875e-002
     iter =   55 error estimate =   6.7748034e-002
     iter =   56 error estimate =   6.4614187e-002
     iter =   57 error estimate =   6.1625303e-002
     iter =   58 error estimate =   5.8774677e-002
     iter =   59 error estimate =   5.6055914e-002
     iter =   60 error estimate =   5.3462914e-002
     iter =   61 error estimate =   5.0989859e-002
     iter =   62 error estimate =   4.8631201e-002
     iter =   63 error estimate =   4.6381649e-002
     iter =   64 error estimate =   4.4236155e-002
     iter =   65 error estimate =   4.2189906e-002
     iter =   66 error estimate =   4.0238311e-002
     iter =   67 error estimate =   3.8376992e-002
     iter =   68 error estimate =   3.6601772e-002
     iter =   69 error estimate =   3.4908670e-002
     iter =   70 error estimate =   3.3293886e-002
     iter =   71 error estimate =   3.1753798e-002
     iter =   72 error estimate =   3.0284950e-002
     iter =   73 error estimate =   2.8884047e-002
     iter =   74 error estimate =   2.7547946e-002
     iter =   75 error estimate =   2.6273650e-002
     iter =   76 error estimate =   2.5058300e-002
     iter =   77 error estimate =   2.3899168e-002
     iter =   78 error estimate =   2.2793655e-002
     iter =   79 error estimate =   2.1739280e-002
     iter =   80 error estimate =   2.0733678e-002
     iter =   81 error estimate =   1.9774592e-002
     iter =   82 error estimate =   1.8859871e-002
     iter =   83 error estimate =   1.7987463e-002
     iter =   84 error estimate =   1.7155410e-002
     iter =   85 error estimate =   1.6361845e-002
     iter =   86 error estimate =   1.5604989e-002
     iter =   87 error estimate =   1.4883143e-002
     iter =   88 error estimate =   1.4194687e-002
     iter =   89 error estimate =   1.3538078e-002
     iter =   90 error estimate =   1.2911842e-002
     iter =   91 error estimate =   1.2314574e-002
     iter =   92 error estimate =   1.1744934e-002
     iter =   93 error estimate =   1.1201644e-002
     iter =   94 error estimate =   1.0683485e-002
     iter =   95 error estimate =   1.0189295e-002
     iter =   96 error estimate =   9.7179648e-003
     iter =   97 error estimate =   9.2684371e-003
     iter =   98 error estimate =   8.8397034e-003
     iter =   99 error estimate =   8.4308018e-003
     iter =  100 error estimate =   8.0408149e-003
     iter =  101 error estimate =   7.6688678e-003
     iter =  102 error estimate =   7.3141260e-003
     iter =  103 error estimate =   6.9757936e-003
     iter =  104 error estimate =   6.6531116e-003
     iter =  105 error estimate =   6.3453560e-003
     iter =  106 error estimate =   6.0518364e-003
     iter =  107 error estimate =   5.7718943e-003
     iter =  108 error estimate =   5.5049015e-003
     iter =  109 error estimate =   5.2502591e-003
     iter =  110 error estimate =   5.0073959e-003
     iter =  111 error estimate =   4.7757668e-003
     iter =  112 error estimate =   4.5548523e-003
     iter =  113 error estimate =   4.3441567e-003
     iter =  114 error estimate =   4.1432074e-003
     iter =  115 error estimate =   3.9515534e-003
     iter =  116 error estimate =   3.7687649e-003
     iter =  117 error estimate =   3.5944316e-003
     iter =  118 error estimate =   3.4281626e-003
     iter =  119 error estimate =   3.2695848e-003
     iter =  120 error estimate =   3.1183423e-003
     iter =  121 error estimate =   2.9740959e-003
     iter =  122 error estimate =   2.8365220e-003
     iter =  123 error estimate =   2.7053119e-003
     iter =  124 error estimate =   2.5801712e-003
     iter =  125 error estimate =   2.4608193e-003
     iter =  126 error estimate =   2.3469882e-003
     iter =  127 error estimate =   2.2384226e-003
     iter =  128 error estimate =   2.1348790e-003
     iter =  129 error estimate =   2.0361251e-003
     iter =  130 error estimate =   1.9419393e-003
     iter =  131 error estimate =   1.8521102e-003
     iter =  132 error estimate =   1.7664365e-003
     iter =  133 error estimate =   1.6847257e-003
     iter =  134 error estimate =   1.6067947e-003
     iter =  135 error estimate =   1.5324686e-003
     iter =  136 error estimate =   1.4615806e-003
     iter =  137 error estimate =   1.3939717e-003
     iter =  138 error estimate =   1.3294902e-003
     iter =  139 error estimate =   1.2679914e-003
     iter =  140 error estimate =   1.2093375e-003
     iter =  141 error estimate =   1.1533967e-003
     iter =  142 error estimate =   1.1000435e-003
     iter =  143 error estimate =   1.0491584e-003
     iter =  144 error estimate =   1.0006271e-003
     iter =  145 error estimate =   9.5434068e-004
     iter =  146 error estimate =   9.1019537e-004
     iter =  147 error estimate =   8.6809211e-004
     iter =  148 error estimate =   8.2793643e-004
     iter =  149 error estimate =   7.8963825e-004
     iter =  150 error estimate =   7.5311165e-004
     iter =  151 error estimate =   7.1827467e-004
     iter =  152 error estimate =   6.8504916e-004
     iter =  153 error estimate =   6.5336057e-004
     iter =  154 error estimate =   6.2313782e-004
     iter =  155 error estimate =   5.9431309e-004
     iter =  156 error estimate =   5.6682172e-004
     iter =  157 error estimate =   5.4060202e-004
     iter =  158 error estimate =   5.1559519e-004
     iter =  159 error estimate =   4.9174510e-004
     iter =  160 error estimate =   4.6899825e-004
     iter =  161 error estimate =   4.4730362e-004
     iter =  162 error estimate =   4.2661252e-004
     iter =  163 error estimate =   4.0687854e-004
     iter =  164 error estimate =   3.8805740e-004
     iter =  165 error estimate =   3.7010688e-004
     iter =  166 error estimate =   3.5298670e-004
     iter =  167 error estimate =   3.3665846e-004
     iter =  168 error estimate =   3.2108552e-004
     iter =  169 error estimate =   3.0623294e-004
     iter =  170 error estimate =   2.9206740e-004
     iter =  171 error estimate =   2.7855713e-004
     iter =  172 error estimate =   2.6567180e-004
     iter =  173 error estimate =   2.5338252e-004
     iter =  174 error estimate =   2.4166170e-004
     iter =  175 error estimate =   2.3048306e-004
     iter =  176 error estimate =   2.1982152e-004
     iter =  177 error estimate =   2.0965315e-004
     iter =  178 error estimate =   1.9995514e-004
     iter =  179 error estimate =   1.9070574e-004
     iter =  180 error estimate =   1.8188419e-004
     iter =  181 error estimate =   1.7347070e-004
     iter =  182 error estimate =   1.6544640e-004
     iter =  183 error estimate =   1.5779328e-004
     iter =  184 error estimate =   1.5049417e-004
     iter =  185 error estimate =   1.4353271e-004
     iter =  186 error estimate =   1.3689326e-004
     iter =  187 error estimate =   1.3056093e-004
     iter =  188 error estimate =   1.2452153e-004
     iter =  189 error estimate =   1.1876149e-004
     iter =  190 error estimate =   1.1326789e-004
     iter =  191 error estimate =   1.0802841e-004
     iter =  192 error estimate =   1.0303130e-004
     iter =  193 error estimate =   9.8265341e-005
     iter =  194 error estimate =   9.3719843e-005
     iter =  195 error estimate =   8.9384607e-005
     iter =  196 error estimate =   8.5249909e-005
     iter =  197 error estimate =   8.1306470e-005
     iter =  198 error estimate =   7.7545445e-005
     iter =  199 error estimate =   7.3958395e-005
     iter =  200 error estimate =   7.0537273e-005
     iter =  201 error estimate =   6.7274403e-005
     iter =  202 error estimate =   6.4162465e-005
     iter =  203 error estimate =   6.1194477e-005
     iter =  204 error estimate =   5.8363780e-005
     iter =  205 error estimate =   5.5664024e-005
     iter =  206 error estimate =   5.3089151e-005
     iter =  207 error estimate =   5.0633386e-005
     iter =  208 error estimate =   4.8291217e-005
     iter =  209 error estimate =   4.6057392e-005
     iter =  210 error estimate =   4.3926897e-005
     iter =  211 error estimate =   4.1894953e-005
     iter =  212 error estimate =   3.9957002e-005
     iter =  213 error estimate =   3.8108696e-005
     iter =  214 error estimate =   3.6345887e-005
     iter =  215 error estimate =   3.4664621e-005
     iter =  216 error estimate =   3.3061126e-005
     iter =  217 error estimate =   3.1531805e-005
     iter =  218 error estimate =   3.0073226e-005
     iter =  219 error estimate =   2.8682117e-005
     iter =  220 error estimate =   2.7355357e-005
     iter =  221 error estimate =   2.6089970e-005
     iter =  222 error estimate =   2.4883116e-005
     iter =  223 error estimate =   2.3732088e-005
     iter =  224 error estimate =   2.2634303e-005
     iter =  225 error estimate =   2.1587299e-005
     iter =  226 error estimate =   2.0588727e-005
     iter =  227 error estimate =   1.9636347e-005
     iter =  228 error estimate =   1.8728020e-005
     iter =  229 error estimate =   1.7861711e-005
     iter =  230 error estimate =   1.7035475e-005
     iter =  231 error estimate =   1.6247458e-005
     iter =  232 error estimate =   1.5495893e-005
     iter =  233 error estimate =   1.4779094e-005
     iter =  234 error estimate =   1.4095451e-005
     iter =  235 error estimate =   1.3443433e-005
     iter =  236 error estimate =   1.2821575e-005
     iter =  237 error estimate =   1.2228482e-005
     iter =  238 error estimate =   1.1662824e-005
     iter =  239 error estimate =   1.1123333e-005
     iter =  240 error estimate =   1.0608796e-005
     iter =  241 error estimate =   1.0118061e-005
     iter =  242 error estimate =   9.6500259e-006
     iter =  243 error estimate =   9.2036409e-006
     iter =  244 error estimate =   8.7779045e-006
     iter =  245 error estimate =   8.3718615e-006
     iter =  246 error estimate =   7.9846011e-006
     iter =  247 error estimate =   7.6152543e-006
     iter =  248 error estimate =   7.2629925e-006
     iter =  249 error estimate =   6.9270254e-006
     iter =  250 error estimate =   6.6065993e-006
     iter =  251 error estimate =   6.3009953e-006
     iter =  252 error estimate =   6.0095277e-006
     iter =  253 error estimate =   5.7315426e-006
     iter =  254 error estimate =   5.4664164e-006
     iter =  255 error estimate =   5.2135542e-006
     iter =  256 error estimate =   4.9723888e-006
     iter =  257 error estimate =   4.7423791e-006
     iter =  258 error estimate =   4.5230090e-006
     iter =  259 error estimate =   4.3137864e-006
     iter =  260 error estimate =   4.1142419e-006
     iter =  261 error estimate =   3.9239278e-006
     iter =  262 error estimate =   3.7424172e-006
     iter =  263 error estimate =   3.5693027e-006
     iter =  264 error estimate =   3.4041961e-006
     iter =  265 error estimate =   3.2467269e-006
     iter =  266 error estimate =   3.0965418e-006
     iter =  267 error estimate =   2.9533038e-006
     iter =  268 error estimate =   2.8166917e-006
     iter =  269 error estimate =   2.6863989e-006
     iter =  270 error estimate =   2.5621331e-006
     iter =  271 error estimate =   2.4436155e-006
     iter =  272 error estimate =   2.3305802e-006
     iter =  273 error estimate =   2.2227737e-006
     iter =  274 error estimate =   2.1199540e-006
     iter =  275 error estimate =   2.0218904e-006
     iter =  276 error estimate =   1.9283631e-006
     iter =  277 error estimate =   1.8391620e-006
     iter =  278 error estimate =   1.7540872e-006
     iter =  279 error estimate =   1.6729477e-006
     iter =  280 error estimate =   1.5955615e-006
     iter =  281 error estimate =   1.5217550e-006
     iter =  282 error estimate =   1.4513626e-006
     iter =  283 error estimate =   1.3842263e-006
     iter =  284 error estimate =   1.3201956e-006
     iter =  285 error estimate =   1.2591268e-006
     iter =  286 error estimate =   1.2008829e-006
     iter =  287 error estimate =   1.1453332e-006
     iter =  288 error estimate =   1.0923531e-006
     iter =  289 error estimate =   1.0418237e-006
     iter =  290 error estimate =   9.9363163e-007
 ***************** passed ***********************
 **** dsgs   quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count = 290 stop test = 9.93632e-007

 dsilur : itol = 11   isym = 0
     iter =    0 error estimate =   1.0000000e+000
     iter =    1 error estimate =   8.2914240e-001
     iter =    2 error estimate =   7.6797116e-001
     iter =    3 error estimate =   7.1043507e-001
     iter =    4 error estimate =   6.5716550e-001
     iter =    5 error estimate =   6.0788771e-001
     iter =    6 error estimate =   5.6230489e-001
     iter =    7 error estimate =   5.2014012e-001
     iter =    8 error estimate =   4.8113710e-001
     iter =    9 error estimate =   4.4505874e-001
     iter =   10 error estimate =   4.1168574e-001
     iter =   11 error estimate =   3.8081523e-001
     iter =   12 error estimate =   3.5225957e-001
     iter =   13 error estimate =   3.2584517e-001
     iter =   14 error estimate =   3.0141147e-001
     iter =   15 error estimate =   2.7880995e-001
     iter =   16 error estimate =   2.5790322e-001
     iter =   17 error estimate =   2.3856419e-001
     iter =   18 error estimate =   2.2067531e-001
     iter =   19 error estimate =   2.0412783e-001
     iter =   20 error estimate =   1.8882118e-001
     iter =   21 error estimate =   1.7466231e-001
     iter =   22 error estimate =   1.6156515e-001
     iter =   23 error estimate =   1.4945009e-001
     iter =   24 error estimate =   1.3824349e-001
     iter =   25 error estimate =   1.2787721e-001
     iter =   26 error estimate =   1.1828826e-001
     iter =   27 error estimate =   1.0941835e-001
     iter =   28 error estimate =   1.0121354e-001
     iter =   29 error estimate =   9.3623985e-002
     iter =   30 error estimate =   8.6603534e-002
     iter =   31 error estimate =   8.0109515e-002
     iter =   32 error estimate =   7.4102454e-002
     iter =   33 error estimate =   6.8545836e-002
     iter =   34 error estimate =   6.3405885e-002
     iter =   35 error estimate =   5.8651356e-002
     iter =   36 error estimate =   5.4253349e-002
     iter =   37 error estimate =   5.0185128e-002
     iter =   38 error estimate =   4.6421966e-002
     iter =   39 error estimate =   4.2940987e-002
     iter =   40 error estimate =   3.9721031e-002
     iter =   41 error estimate =   3.6742525e-002
     iter =   42 error estimate =   3.3987364e-002
     iter =   43 error estimate =   3.1438801e-002
     iter =   44 error estimate =   2.9081343e-002
     iter =   45 error estimate =   2.6900661e-002
     iter =   46 error estimate =   2.4883499e-002
     iter =   47 error estimate =   2.3017594e-002
     iter =   48 error estimate =   2.1291606e-002
     iter =   49 error estimate =   1.9695042e-002
     iter =   50 error estimate =   1.8218197e-002
     iter =   51 error estimate =   1.6852095e-002
     iter =   52 error estimate =   1.5588430e-002
     iter =   53 error estimate =   1.4419522e-002
     iter =   54 error estimate =   1.3338266e-002
     iter =   55 error estimate =   1.2338088e-002
     iter =   56 error estimate =   1.1412909e-002
     iter =   57 error estimate =   1.0557105e-002
     iter =   58 error estimate =   9.7654738e-003
     iter =   59 error estimate =   9.0332038e-003
     iter =   60 error estimate =   8.3558435e-003
     iter =   61 error estimate =   7.7292755e-003
     iter =   62 error estimate =   7.1496911e-003
     iter =   63 error estimate =   6.6135671e-003
     iter =   64 error estimate =   6.1176448e-003
     iter =   65 error estimate =   5.6589095e-003
     iter =   66 error estimate =   5.2345727e-003
     iter =   67 error estimate =   4.8420551e-003
     iter =   68 error estimate =   4.4789706e-003
     iter =   69 error estimate =   4.1431123e-003
     iter =   70 error estimate =   3.8324385e-003
     iter =   71 error estimate =   3.5450608e-003
     iter =   72 error estimate =   3.2792322e-003
     iter =   73 error estimate =   3.0333370e-003
     iter =   74 error estimate =   2.8058804e-003
     iter =   75 error estimate =   2.5954797e-003
     iter =   76 error estimate =   2.4008561e-003
     iter =   77 error estimate =   2.2208264e-003
     iter =   78 error estimate =   2.0542964e-003
     iter =   79 error estimate =   1.9002538e-003
     iter =   80 error estimate =   1.7577621e-003
     iter =   81 error estimate =   1.6259552e-003
     iter =   82 error estimate =   1.5040320e-003
     iter =   83 error estimate =   1.3912512e-003
     iter =   84 error estimate =   1.2869274e-003
     iter =   85 error estimate =   1.1904264e-003
     iter =   86 error estimate =   1.1011615e-003
     iter =   87 error estimate =   1.0185903e-003
     iter =   88 error estimate =   9.4221064e-004
     iter =   89 error estimate =   8.7155840e-004
     iter =   90 error estimate =   8.0620406e-004
     iter =   91 error estimate =   7.4575036e-004
     iter =   92 error estimate =   6.8982982e-004
     iter =   93 error estimate =   6.3810251e-004
     iter =   94 error estimate =   5.9025400e-004
     iter =   95 error estimate =   5.4599345e-004
     iter =   96 error estimate =   5.0505180e-004
     iter =   97 error estimate =   4.6718018e-004
     iter =   98 error estimate =   4.3214839e-004
     iter =   99 error estimate =   3.9974348e-004
     iter =  100 error estimate =   3.6976847e-004
     iter =  101 error estimate =   3.4204116e-004
     iter =  102 error estimate =   3.1639299e-004
     iter =  103 error estimate =   2.9266807e-004
     iter =  104 error estimate =   2.7072218e-004
     iter =  105 error estimate =   2.5042191e-004
     iter =  106 error estimate =   2.3164387e-004
     iter =  107 error estimate =   2.1427392e-004
     iter =  108 error estimate =   1.9820646e-004
     iter =  109 error estimate =   1.8334382e-004
     iter =  110 error estimate =   1.6959568e-004
     iter =  111 error estimate =   1.5687844e-004
     iter =  112 error estimate =   1.4511482e-004
     iter =  113 error estimate =   1.3423329e-004
     iter =  114 error estimate =   1.2416773e-004
     iter =  115 error estimate =   1.1485693e-004
     iter =  116 error estimate =   1.0624432e-004
     iter =  117 error estimate =   9.8277523e-005
     iter =  118 error estimate =   9.0908123e-005
     iter =  119 error estimate =   8.4091322e-005
     iter =  120 error estimate =   7.7785683e-005
     iter =  121 error estimate =   7.1952876e-005
     iter =  122 error estimate =   6.6557446e-005
     iter =  123 error estimate =   6.1566595e-005
     iter =  124 error estimate =   5.6949987e-005
     iter =  125 error estimate =   5.2679557e-005
     iter =  126 error estimate =   4.8729349e-005
     iter =  127 error estimate =   4.5075349e-005
     iter =  128 error estimate =   4.1695346e-005
     iter =  129 error estimate =   3.8568795e-005
     iter =  130 error estimate =   3.5676691e-005
     iter =  131 error estimate =   3.3001452e-005
     iter =  132 error estimate =   3.0526818e-005
     iter =  133 error estimate =   2.8237746e-005
     iter =  134 error estimate =   2.6120322e-005
     iter =  135 error estimate =   2.4161674e-005
     iter =  136 error estimate =   2.2349896e-005
     iter =  137 error estimate =   2.0673975e-005
     iter =  138 error estimate =   1.9123725e-005
     iter =  139 error estimate =   1.7689720e-005
     iter =  140 error estimate =   1.6363246e-005
     iter =  141 error estimate =   1.5136238e-005
     iter =  142 error estimate =   1.4001238e-005
     iter =  143 error estimate =   1.2951347e-005
     iter =  144 error estimate =   1.1980182e-005
     iter =  145 error estimate =   1.1081841e-005
     iter =  146 error estimate =   1.0250862e-005
     iter =  147 error estimate =   9.4821951e-006
     iter =  148 error estimate =   8.7711669e-006
     iter =  149 error estimate =   8.1134556e-006
     iter =  150 error estimate =   7.5050632e-006
     iter =  151 error estimate =   6.9422915e-006
     iter =  152 error estimate =   6.4217195e-006
     iter =  153 error estimate =   5.9401830e-006
     iter =  154 error estimate =   5.4947547e-006
     iter =  155 error estimate =   5.0827272e-006
     iter =  156 error estimate =   4.7015958e-006
     iter =  157 error estimate =   4.3490438e-006
     iter =  158 error estimate =   4.0229281e-006
     iter =  159 error estimate =   3.7212664e-006
     iter =  160 error estimate =   3.4422250e-006
     iter =  161 error estimate =   3.1841076e-006
     iter =  162 error estimate =   2.9453454e-006
     iter =  163 error estimate =   2.7244869e-006
     iter =  164 error estimate =   2.5201896e-006
     iter =  165 error estimate =   2.3312116e-006
     iter =  166 error estimate =   2.1564043e-006
     iter =  167 error estimate =   1.9947050e-006
     iter =  168 error estimate =   1.8451308e-006
     iter =  169 error estimate =   1.7067726e-006
     iter =  170 error estimate =   1.5787892e-006
     iter =  171 error estimate =   1.4604027e-006
     iter =  172 error estimate =   1.3508935e-006
     iter =  173 error estimate =   1.2495960e-006
     iter =  174 error estimate =   1.1558943e-006
     iter =  175 error estimate =   1.0692188e-006
     iter =  176 error estimate =   9.8904279e-007
 ***************** passed ***********************
 **** dsilur quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count = 176 stop test = 9.89043e-007

 dsdcgn : itol = 11   isym = 0
 pcg applied to the normal equations for n, itol =   441   11
 iter   error estimate            alpha             beta
    0   1.0000000e+000   0.0000000e+000   0.0000000e+000
    1   8.5818598e-001   9.5315600e-001   0.0000000e+000
    2   8.4816817e-001   9.5344459e-001   6.4848840e-002
    3   8.4690791e-001   1.1715968e+000   1.0170037e-001
    4   8.4541104e-001   3.9134232e+000   3.5501001e-001
    5   8.3100559e-001   1.1447586e+001   3.2590053e+000
    6   6.8486159e-001   9.3910485e+000   1.1182356e+001
    7   2.8306468e-001   2.5893069e+000   6.3670353e+000
    8   7.8696988e-002   1.1377136e+000   4.3264978e-001
    9   2.1311859e-002   1.0610508e+000   8.3233808e-002
   10   5.8721201e-003   1.0251218e+000   7.5696521e-002
   11   1.5603170e-003   1.0653165e+000   7.3474053e-002
   12   4.2037253e-004   1.0261939e+000   7.3140703e-002
   13   1.0962617e-004   1.0467345e+000   7.1511131e-002
   14   2.8765019e-005   1.0533406e+000   6.7520445e-002
   15   7.5558157e-006   1.0295135e+000   7.0431765e-002
   16   1.8753834e-006   1.0043222e+000   7.1289746e-002
   17   5.0116331e-007   9.9801345e-001   6.1346673e-002
 ***************** passed ***********************
 **** dsdcgn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  17 stop test = 5.01163e-007

 dslucn : itol = 11   isym = 0
 pcg applied to the normal equations for n, itol =   441   11
 iter   error estimate            alpha             beta
    0   1.0000000e+000   9.9801345e-001   6.1346673e-002
    1   8.4807696e-001   1.0014145e+000   6.1346673e-002
    2   8.3255800e-001   7.4684763e+000   1.2455873e-002
    3   4.6057469e-001   1.8652651e+001   7.3845144e+000
    4   2.3355168e-002   1.3364657e+000   6.1390080e+000
    5   7.7646787e-004   1.0032363e+000   3.4305071e-003
    6   2.9350213e-005   1.0106621e+000   1.0968255e-003
    7   1.3544371e-006   1.0221875e+000   1.4117119e-003
    8   6.2250353e-008   1.0333451e+000   2.1066279e-003
 ***************** passed ***********************
 **** dslucn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   8 stop test = 6.22504e-008

 dsdbcg : itol = 11   isym = 0
 preconditioned biconjugate gradient for n, itol =   441   11
 iter   error estimate            alpha             beta
    0   1.0000000e+000   0.0000000e+000   0.0000000e+000
    1   8.2772694e-001   9.7660850e-001   0.0000000e+000
    2   8.0883676e-001   1.0262584e+000   1.5176537e-002
    3   7.4576644e-001   3.0664310e+000   6.0553611e-002
    4   1.8314670e-001   9.4654791e+000   2.0364662e+000
    5   7.4626406e-003   1.2747977e+000   2.1730646e+000
    6   8.3713717e-004   1.0096428e+000   2.5185616e-002
    7   1.0406947e-004   1.0107897e+000   1.5481948e-002
    8   1.2897262e-005   1.0170700e+000   1.6125851e-002
    9   1.7115044e-006   1.0222632e+000   1.7019317e-002
   10   2.1636653e-007   1.0402710e+000   1.6353306e-002
 ***************** passed ***********************
 **** dsdbcg quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test = 2.16367e-007

 dslubc : itol = 11   isym = 0
 preconditioned biconjugate gradient for n, itol =   441   11
 iter   error estimate            alpha             beta
    0   1.0000000e+000   1.0402710e+000   1.6353306e-002
    1   8.2913480e-001   1.0003933e+000   1.6353306e-002
    2   3.9195081e-001   7.1871412e+000   2.4003955e-003
    3   2.4198888e-003   1.8580561e+000   2.8279622e+000
    4   6.4039749e-005   1.0271555e+000   2.1414197e-003
    5   1.3300344e-006   1.0230187e+000   8.9586866e-004
    6   1.9501840e-008   1.0020666e+000   3.5672091e-004
 ***************** passed ***********************
 **** dslubc quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 1.95018e-008

 dsdcgs : itol = 11   isym = 0
 preconditioned biconjugate gradient squared for n, itol =   441   11
 iter   error estimate            alpha             beta
    0   1.0000000e+000   0.0000000e+000   0.0000000e+000
    1   8.1000171e-001   9.7637896e-001   3.8583336e+001
    2   7.6737261e-001   1.0909399e+000   1.6287728e-002
    3   5.5305473e-001   5.5233056e+000   1.2802234e-001
    4   9.3829616e-003   5.7172274e+000   4.0762597e+000
    5   1.8364389e-004   1.1008977e+000   6.2692168e-001
    6   4.8637816e-006   1.0005050e+000   1.7902905e-002
    7   1.4083341e-007   9.9933635e-001   1.5352122e-002
 ***************** passed ***********************
 **** dsdcgs quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   7 stop test = 1.40833e-007

 dslucs : itol = 11   isym = 0
 preconditioned biconjugate gradient squared for n, itol =   441   11
 iter   error estimate            alpha             beta
    0   1.0000000e+000   9.9933635e-001   1.5352122e-002
    1   7.6776102e-001   1.0017176e+000   3.8378341e+001
    2   7.6034970e-002   9.0257730e+000   4.3447840e-003
    3   6.8360232e-005   1.4763304e+000   2.5561951e+000
    4   6.2644392e-008   1.0235958e+000   1.1702714e-003
 ***************** passed ***********************
 **** dslucs quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   4 stop test = 6.26444e-008

 dsdomn : itol = 11   isym = 0 nsave =  0
 preconditioned orthomin(  0) for n, itol =   441   11
 iter   error estimate            alpha
    0   1.0000000e+000   0.0000000e+000
    1   8.2830197e-001   9.5839099e-001
    2   8.1068148e-001   9.5039291e-001
    3   7.8981059e-001   1.0691314e+000
    4   7.6765736e-001   1.1790373e+000
    5   6.7390791e-001   5.0479760e+000
    6   6.6186916e-001   7.5847517e-001
    7   3.1182511e-001   2.1955049e+001
    8   3.0500810e-001   8.6238908e-001
    9   2.9197484e-001   1.7939244e+000
   10   2.7325581e-001   2.6339427e+000
   11   2.6820085e-001   7.8336124e-001
   12   3.9698379e-002   3.5407345e+001
   13   3.8298729e-002   1.0759021e+000
   14   3.7392512e-002   9.6390847e-001
   15   3.4635632e-002   3.0204713e+000
   16   3.3945477e-002   8.4659804e-001
   17   2.3005121e-002   1.3425369e+001
   18   2.2265639e-002   1.2693540e+000
   19   2.1388450e-002   1.6155498e+000
   20   2.0888002e-002   9.8167047e-001
   21   1.6690369e-002   8.3157024e+000
   22   1.6397318e-002   7.5083906e-001
   23   1.1459465e-002   1.2512906e+001
   24   1.1198213e-002   9.1247551e-001
   25   1.0646787e-002   2.0560711e+000
   26   1.0178360e-002   1.8075390e+000
   27   9.9545379e-003   9.2369904e-001
   28   7.0788340e-003   1.1961008e+001
   29   6.9563857e-003   7.4611720e-001
   30   5.6204223e-003   7.9854266e+000
   31   5.4835202e-003   9.8365211e-001
   32   5.2709221e-003   1.6202037e+000
   33   4.9722615e-003   2.3332329e+000
   34   4.8728297e-003   8.4220085e-001
   35   1.8351052e-003   2.5839568e+001
   36   1.8040360e-003   7.5530666e-001
   37   1.6159645e-003   4.3390558e+000
   38   1.5700648e-003   1.1574706e+000
   39   1.5246741e-003   1.2105498e+000
   40   1.3772187e-003   3.9928698e+000
   41   1.3524243e-003   7.6311926e-001
   42   3.6655760e-004   3.0268301e+001
   43   3.5826701e-004   8.3150528e-001
   44   3.3850670e-004   2.3028049e+000
   45   3.2474939e-004   1.6662298e+000
   46   3.1769097e-004   9.1344893e-001
   47   2.1929037e-004   1.2825104e+001
   48   2.1553927e-004   7.4019631e-001
   49   1.7919834e-004   7.0136683e+000
   50   1.7470781e-004   1.0120639e+000
   51   1.6884969e-004   1.4027180e+000
   52   1.5684940e-004   2.9297924e+000
   53   1.5392809e-004   7.8692780e-001
   54   1.2817970e-006   4.1151094e+001
   55   1.2107140e-006   8.1400327e-001
   56   1.1482463e-006   2.1179112e+000
   57   1.1090226e-006   1.4152483e+000
   58   1.0784317e-006   1.1546392e+000
   59   9.6387226e-007   4.3866881e+000
 ***************** passed ***********************
 **** dsdomn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  59 stop test = 9.63872e-007

 dsdomn : itol = 11   isym = 0 nsave =  1
 preconditioned orthomin(  1) for n, itol =   441   11
 iter   error estimate            alpha
    0   1.0000000e+000   4.3866881e+000
    1   8.2830197e-001   9.5839099e-001
    2   8.1011797e-001   9.6232888e-001
    3   7.8889392e-001   1.0929540e+000
    4   7.3283122e-001   2.6141047e+000
    5   1.5955128e-001   1.1100088e+001
    6   5.0462987e-003   1.2273559e+000
    7   2.8169830e-003   1.0291738e+000
    8   2.6884590e-003   9.9623645e-001
    9   2.6152269e-003   1.0545629e+000
   10   2.2925358e-003   4.5788662e+000
   11   6.2709059e-004   5.8183493e+000
   12   3.8785600e-005   1.2919968e+000
   13   2.4148158e-005   9.8007829e-001
   14   2.3227568e-005   1.0024513e+000
   15   2.2131825e-005   1.7601961e+000
   16   1.3219882e-005   8.9868529e+000
   17   2.2306664e-006   2.0397960e+000
   18   8.9719285e-007   1.0810434e+000
 ***************** passed ***********************
 **** dsdomn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  18 stop test = 8.97193e-007

 dsdomn : itol = 11   isym = 0 nsave =  2
 preconditioned orthomin(  2) for n, itol =   441   11
 iter   error estimate            alpha
    0   1.0000000e+000   1.0810434e+000
    1   8.2830197e-001   9.5839099e-001
    2   8.1011797e-001   9.6232888e-001
    3   7.8882078e-001   1.0955956e+000
    4   6.9992752e-001   4.1928993e+000
    5   1.7185086e-001   6.5723925e+000
    6   2.2545295e-003   1.2845375e+000
    7   2.0384258e-003   1.0204403e+000
    8   1.6375998e-003   9.3923798e-001
    9   1.5952969e-003   9.7058976e-001
   10   1.5139120e-003   2.2159070e+000
   11   6.1436581e-004   1.1689860e+001
   12   1.2471452e-005   1.5118818e+000
   13   5.3315946e-006   1.0068390e+000
   14   5.1039635e-006   9.7941222e-001
   15   4.9791630e-006   9.2063843e-001
   16   4.8168085e-006   1.4485791e+000
   17   4.0380780e-006   4.7347776e+000
   18   1.3785276e-006   4.0418560e+000
   19   1.7100957e-008   1.4774857e+000
 ***************** passed ***********************
 **** dsdomn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  19 stop test = 1.71010e-008

 dsdomn : itol = 11   isym = 0 nsave =  3
 preconditioned orthomin(  3) for n, itol =   441   11
 iter   error estimate            alpha
    0   1.0000000e+000   1.4774857e+000
    1   8.2830197e-001   9.5839099e-001
    2   8.1011797e-001   9.6232888e-001
    3   7.8882078e-001   1.0955956e+000
    4   6.9095276e-001   4.6119172e+000
    5   8.8270954e-002   6.9468407e+000
    6   1.0600104e-003   1.1304531e+000
    7   1.5062150e-004   1.0027109e+000
    8   2.1351065e-005   1.0028042e+000
    9   1.6965763e-005   1.0201705e+000
   10   1.6306190e-005   1.0437488e+000
   11   1.5825147e-005   1.1509020e+000
   12   1.4200069e-005   3.5915471e+000
   13   3.1013649e-006   7.4071339e+000
   14   1.3582167e-007   1.2634617e+000
 ***************** passed ***********************
 **** dsdomn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  14 stop test = 1.35822e-007

 dsluom : itol = 11   isym = 0 nsave =  0
 preconditioned orthomin(  0) for n, itol =   441   11
 iter   error estimate            alpha
    0   1.0000000e+000   1.2634617e+000
    1   8.2939244e-001   9.8829699e-001
    2   6.3983473e-001   3.1286601e+000
    3   5.4649123e-001   1.8281236e+000
    4   5.0237313e-001   1.1364079e+000
    5   1.4241853e-001   9.5227066e+000
    6   1.3310266e-001   9.6018606e-001
    7   6.1428288e-002   7.2879065e+000
    8   5.4677343e-002   1.2361196e+000
    9   4.8105203e-002   1.6582110e+000
   10   3.5683217e-002   3.3730157e+000
   11   3.3127689e-002   1.0165407e+000
   12   2.7587706e-004   1.3355346e+001
   13   4.3041449e-005   1.0053083e+000
   14   4.1249842e-005   9.4402107e-001
   15   3.8471049e-005   9.7272592e-001
   16   8.1015974e-007   1.3476894e+001
 ***************** passed ***********************
 **** dsluom quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  16 stop test = 8.10160e-007

 dsluom : itol = 11   isym = 0 nsave =  1
 preconditioned orthomin(  1) for n, itol =   441   11
 iter   error estimate            alpha
    0   1.0000000e+000   1.3476894e+001
    1   8.2939244e-001   9.8829699e-001
    2   5.8539275e-001   4.0398737e+000
    3   2.4625304e-002   3.2194331e+000
    4   3.1692961e-003   1.0359286e+000
    5   2.8661727e-003   9.8673984e-001
    6   2.5582112e-003   1.5079760e+000
    7   8.5067034e-005   8.6747597e+000
    8   2.4515710e-006   1.0304715e+000
    9   2.2556564e-006   9.8485091e-001
   10   2.0830124e-006   1.1334986e+000
   11   1.6776203e-006   2.4029878e+000
   12   4.2287057e-008   5.1488364e+000
 ***************** passed ***********************
 **** dsluom quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  12 stop test = 4.22871e-008

 dsluom : itol = 11   isym = 0 nsave =  2
 preconditioned orthomin(  2) for n, itol =   441   11
 iter   error estimate            alpha
    0   1.0000000e+000   5.1488364e+000
    1   8.2939244e-001   9.8829699e-001
    2   5.8539275e-001   4.0398737e+000
    3   5.3533921e-003   3.3759487e+000
    4   1.6231171e-004   1.0158792e+000
    5   3.3399407e-005   1.0212374e+000
    6   3.1467533e-005   9.3002718e-001
    7   6.9484133e-006   1.1317077e+001
    8   5.9243582e-008   1.2993884e+000
 ***************** passed ***********************
 **** dsluom quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   8 stop test = 5.92436e-008

 dsluom : itol = 11   isym = 0 nsave =  3
 preconditioned orthomin(  3) for n, itol =   441   11
 iter   error estimate            alpha
    0   1.0000000e+000   1.2993884e+000
    1   8.2939244e-001   9.8829699e-001
    2   5.8539275e-001   4.0398737e+000
    3   5.3533921e-003   3.3759487e+000
    4   1.6005734e-004   1.0160576e+000
    5   1.9648193e-006   1.0247159e+000
    6   1.9972760e-007   1.0035362e+000
 ***************** passed ***********************
 **** dsluom quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 1.99728e-007

 dsdgmr : itol = 11   isym = 0 nsave =  5
 generalized minimum residual(441  0) for n, itol =     5    5
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.3573190e-001   1.3573190e-001
    2   4.0471446e-002   4.0471446e-002
    3   3.5677537e-002   3.5677537e-002
    4   3.3432298e-002   3.3432298e-002
    5   1.1019966e-002   1.1019966e-002
    5   1.1019966e-002   1.1019966e-002
    6   3.7915079e-003   3.7915079e-003
    7   2.9577383e-003   2.9577383e-003
    8   2.7130834e-003   2.7130834e-003
    9   1.0981784e-003   1.0981784e-003
   10   1.4170553e-004   1.4170553e-004
   10   1.4170553e-004   1.4170553e-004
   11   2.6977775e-005   2.6977775e-005
   12   9.9674432e-006   9.9674432e-006
   13   9.2184793e-006   9.2184793e-006
   14   8.4258276e-006   8.4258276e-006
   15   2.8015414e-006   2.8015414e-006
   15   2.8015414e-006   2.8015414e-006
   16   9.4828944e-007   9.4828944e-007
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  16 stop test = 9.48289e-007

 dsdgmr : itol = 11   isym = 0 nsave =  6
 generalized minimum residual(441  0) for n, itol =     6    6
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.3573190e-001   1.3573190e-001
    2   4.0471446e-002   4.0471446e-002
    3   3.5677537e-002   3.5677537e-002
    4   3.3432298e-002   3.3432298e-002
    5   1.1019966e-002   1.1019966e-002
    6   1.4931236e-003   1.4931236e-003
    6   1.4931236e-003   1.4931236e-003
    7   2.5984257e-004   2.5984257e-004
    8   4.4838056e-005   4.4838056e-005
    9   3.2573102e-005   3.2573102e-005
   10   3.1219996e-005   3.1219996e-005
   11   1.8897310e-005   1.8897310e-005
   12   2.7963107e-006   2.7963107e-006
   12   2.7963107e-006   2.7963107e-006
   13   6.0896586e-007   6.0896586e-007
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  13 stop test = 6.08966e-007

 dsdgmr : itol = 11   isym = 0 nsave =  7
 generalized minimum residual(441  0) for n, itol =     7    7
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.3573190e-001   1.3573190e-001
    2   4.0471446e-002   4.0471446e-002
    3   3.5677537e-002   3.5677537e-002
    4   3.3432298e-002   3.3432298e-002
    5   1.1019966e-002   1.1019966e-002
    6   1.4931236e-003   1.4931236e-003
    7   1.8589782e-004   1.8589782e-004
    7   1.8589782e-004   1.8589782e-004
    8   3.3054537e-005   3.3054537e-005
    9   7.9515487e-006   7.9515487e-006
   10   6.7977242e-006   6.7977242e-006
   11   6.5522472e-006   6.5522472e-006
   12   2.4765642e-006   2.4765642e-006
   13   3.7796258e-007   3.7796258e-007
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  13 stop test = 3.77963e-007

 dsdgmr : itol = 11   isym = 0 nsave =  8
 generalized minimum residual(441  0) for n, itol =     8    8
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.3573190e-001   1.3573190e-001
    2   4.0471446e-002   4.0471446e-002
    3   3.5677537e-002   3.5677537e-002
    4   3.3432298e-002   3.3432298e-002
    5   1.1019966e-002   1.1019966e-002
    6   1.4931236e-003   1.4931236e-003
    7   1.8589782e-004   1.8589782e-004
    8   2.2952795e-005   2.2952795e-005
    8   2.2952795e-005   2.2952795e-005
    9   4.2841051e-006   4.2841051e-006
   10   7.2433977e-007   7.2433977e-007
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test = 7.24340e-007

 dsdgmr : itol = 11   isym = 0 nsave =  9
 generalized minimum residual(441  0) for n, itol =     9    9
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.3573190e-001   1.3573190e-001
    2   4.0471446e-002   4.0471446e-002
    3   3.5677537e-002   3.5677537e-002
    4   3.3432298e-002   3.3432298e-002
    5   1.1019966e-002   1.1019966e-002
    6   1.4931236e-003   1.4931236e-003
    7   1.8589782e-004   1.8589782e-004
    8   2.2952795e-005   2.2952795e-005
    9   2.9350954e-006   2.9350954e-006
    9   2.9350954e-006   2.9350954e-006
   10   5.2559665e-007   5.2559665e-007
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test = 5.25597e-007

 dsdgmr : itol = 11   isym = 0 nsave = 10
 generalized minimum residual(441  0) for n, itol =    10   10
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.3573190e-001   1.3573190e-001
    2   4.0471446e-002   4.0471446e-002
    3   3.5677537e-002   3.5677537e-002
    4   3.3432298e-002   3.3432298e-002
    5   1.1019966e-002   1.1019966e-002
    6   1.4931236e-003   1.4931236e-003
    7   1.8589782e-004   1.8589782e-004
    8   2.2952795e-005   2.2952795e-005
    9   2.9350954e-006   2.9350954e-006
   10   3.8261463e-007   3.8261463e-007
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test = 3.82615e-007

 dsdgmr : itol = 11   isym = 0 nsave = 11
 generalized minimum residual(441  0) for n, itol =    11   11
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.3573190e-001   1.3573190e-001
    2   4.0471446e-002   4.0471446e-002
    3   3.5677537e-002   3.5677537e-002
    4   3.3432298e-002   3.3432298e-002
    5   1.1019966e-002   1.1019966e-002
    6   1.4931236e-003   1.4931236e-003
    7   1.8589782e-004   1.8589782e-004
    8   2.2952795e-005   2.2952795e-005
    9   2.9350954e-006   2.9350954e-006
   10   3.8261463e-007   3.8261463e-007
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test = 3.82615e-007

 dsdgmr : itol = 11   isym = 0 nsave = 12
 generalized minimum residual(441  0) for n, itol =    12   12
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.3573190e-001   1.3573190e-001
    2   4.0471446e-002   4.0471446e-002
    3   3.5677537e-002   3.5677537e-002
    4   3.3432298e-002   3.3432298e-002
    5   1.1019966e-002   1.1019966e-002
    6   1.4931236e-003   1.4931236e-003
    7   1.8589782e-004   1.8589782e-004
    8   2.2952795e-005   2.2952795e-005
    9   2.9350954e-006   2.9350954e-006
   10   3.8261463e-007   3.8261463e-007
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test = 3.82615e-007

 dslugm : itol = 11   isym = 0 nsave =  5
 generalized minimum residual(441  0) for n, itol =     5    5
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.1574816e-001   1.1574816e-001
    2   9.8062498e-002   9.8062498e-002
    3   4.0483006e-003   4.0483006e-003
    4   1.1571749e-004   1.1571749e-004
    5   2.4877431e-006   2.4877431e-006
    5   2.4877431e-006   2.4877431e-006
    6   1.7253923e-007   1.7253923e-007
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 1.72539e-007

 dslugm : itol = 11   isym = 0 nsave =  6
 generalized minimum residual(441  0) for n, itol =     6    6
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.1574816e-001   1.1574816e-001
    2   9.8062498e-002   9.8062498e-002
    3   4.0483006e-003   4.0483006e-003
    4   1.1571749e-004   1.1571749e-004
    5   2.4877431e-006   2.4877431e-006
    6   3.6509406e-008   3.6509406e-008
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 3.65094e-008

 dslugm : itol = 11   isym = 0 nsave =  7
 generalized minimum residual(441  0) for n, itol =     7    7
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.1574816e-001   1.1574816e-001
    2   9.8062498e-002   9.8062498e-002
    3   4.0483006e-003   4.0483006e-003
    4   1.1571749e-004   1.1571749e-004
    5   2.4877431e-006   2.4877431e-006
    6   3.6509406e-008   3.6509406e-008
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 3.65094e-008

 dslugm : itol = 11   isym = 0 nsave =  8
 generalized minimum residual(441  0) for n, itol =     8    8
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.1574816e-001   1.1574816e-001
    2   9.8062498e-002   9.8062498e-002
    3   4.0483006e-003   4.0483006e-003
    4   1.1571749e-004   1.1571749e-004
    5   2.4877431e-006   2.4877431e-006
    6   3.6509406e-008   3.6509406e-008
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 3.65094e-008

 dslugm : itol = 11   isym = 0 nsave =  9
 generalized minimum residual(441  0) for n, itol =     9    9
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.1574816e-001   1.1574816e-001
    2   9.8062498e-002   9.8062498e-002
    3   4.0483006e-003   4.0483006e-003
    4   1.1571749e-004   1.1571749e-004
    5   2.4877431e-006   2.4877431e-006
    6   3.6509406e-008   3.6509406e-008
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 3.65094e-008

 dslugm : itol = 11   isym = 0 nsave = 10
 generalized minimum residual(441  0) for n, itol =    10   10
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.1574816e-001   1.1574816e-001
    2   9.8062498e-002   9.8062498e-002
    3   4.0483006e-003   4.0483006e-003
    4   1.1571749e-004   1.1571749e-004
    5   2.4877431e-006   2.4877431e-006
    6   3.6509406e-008   3.6509406e-008
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 3.65094e-008

 dslugm : itol = 11   isym = 0 nsave = 11
 generalized minimum residual(441  0) for n, itol =    11   11
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.1574816e-001   1.1574816e-001
    2   9.8062498e-002   9.8062498e-002
    3   4.0483006e-003   4.0483006e-003
    4   1.1571749e-004   1.1571749e-004
    5   2.4877431e-006   2.4877431e-006
    6   3.6509406e-008   3.6509406e-008
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 3.65094e-008

 dslugm : itol = 11   isym = 0 nsave = 12
 generalized minimum residual(441  0) for n, itol =    12   12
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.1574816e-001   1.1574816e-001
    2   9.8062498e-002   9.8062498e-002
    3   4.0483006e-003   4.0483006e-003
    4   1.1571749e-004   1.1571749e-004
    5   2.4877431e-006   2.4877431e-006
    6   3.6509406e-008   3.6509406e-008
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 3.65094e-008

                * random matrix of size  441*
                number of non-zeros & density = 16807  1.7283951e-001
                error tolerance =   1.0000000e-006

 dsjac  : itol = 11   isym = 1
     iter =    0 error estimate =   1.0000000e+000
     iter =    1 error estimate =   8.2377007e-001
     iter =    2 error estimate =   8.0181945e-001
     iter =    3 error estimate =   7.7997578e-001
     iter =    4 error estimate =   7.5950089e-001
     iter =    5 error estimate =   7.3936320e-001
     iter =    6 error estimate =   7.1981134e-001
     iter =    7 error estimate =   7.0076234e-001
     iter =    8 error estimate =   6.8222130e-001
     iter =    9 error estimate =   6.6416982e-001
     iter =   10 error estimate =   6.4659626e-001
     iter =   11 error estimate =   6.2948762e-001
     iter =   12 error estimate =   6.1283168e-001
     iter =   13 error estimate =   5.9661645e-001
     iter =   14 error estimate =   5.8083027e-001
     iter =   15 error estimate =   5.6546178e-001
     iter =   16 error estimate =   5.5049993e-001
     iter =   17 error estimate =   5.3593397e-001
     iter =   18 error estimate =   5.2175341e-001
     iter =   19 error estimate =   5.0794806e-001
     iter =   20 error estimate =   4.9450800e-001
     iter =   21 error estimate =   4.8142356e-001
     iter =   22 error estimate =   4.6868532e-001
     iter =   23 error estimate =   4.5628413e-001
     iter =   24 error estimate =   4.4421107e-001
     iter =   25 error estimate =   4.3245746e-001
     iter =   26 error estimate =   4.2101485e-001
     iter =   27 error estimate =   4.0987499e-001
     iter =   28 error estimate =   3.9902990e-001
     iter =   29 error estimate =   3.8847176e-001
     iter =   30 error estimate =   3.7819298e-001
     iter =   31 error estimate =   3.6818618e-001
     iter =   32 error estimate =   3.5844415e-001
     iter =   33 error estimate =   3.4895989e-001
     iter =   34 error estimate =   3.3972658e-001
     iter =   35 error estimate =   3.3073758e-001
     iter =   36 error estimate =   3.2198642e-001
     iter =   37 error estimate =   3.1346681e-001
     iter =   38 error estimate =   3.0517263e-001
     iter =   39 error estimate =   2.9709791e-001
     iter =   40 error estimate =   2.8923684e-001
     iter =   41 error estimate =   2.8158377e-001
     iter =   42 error estimate =   2.7413320e-001
     iter =   43 error estimate =   2.6687977e-001
     iter =   44 error estimate =   2.5981826e-001
     iter =   45 error estimate =   2.5294359e-001
     iter =   46 error estimate =   2.4625083e-001
     iter =   47 error estimate =   2.3973515e-001
     iter =   48 error estimate =   2.3339187e-001
     iter =   49 error estimate =   2.2721643e-001
     iter =   50 error estimate =   2.2120440e-001
     iter =   51 error estimate =   2.1535143e-001
     iter =   52 error estimate =   2.0965334e-001
     iter =   53 error estimate =   2.0410601e-001
     iter =   54 error estimate =   1.9870546e-001
     iter =   55 error estimate =   1.9344781e-001
     iter =   56 error estimate =   1.8832928e-001
     iter =   57 error estimate =   1.8334617e-001
     iter =   58 error estimate =   1.7849492e-001
     iter =   59 error estimate =   1.7377203e-001
     iter =   60 error estimate =   1.6917411e-001
     iter =   61 error estimate =   1.6469784e-001
     iter =   62 error estimate =   1.6034002e-001
     iter =   63 error estimate =   1.5609750e-001
     iter =   64 error estimate =   1.5196723e-001
     iter =   65 error estimate =   1.4794625e-001
     iter =   66 error estimate =   1.4403166e-001
     iter =   67 error estimate =   1.4022066e-001
     iter =   68 error estimate =   1.3651048e-001
     iter =   69 error estimate =   1.3289848e-001
     iter =   70 error estimate =   1.2938205e-001
     iter =   71 error estimate =   1.2595867e-001
     iter =   72 error estimate =   1.2262586e-001
     iter =   73 error estimate =   1.1938124e-001
     iter =   74 error estimate =   1.1622247e-001
     iter =   75 error estimate =   1.1314728e-001
     iter =   76 error estimate =   1.1015345e-001
     iter =   77 error estimate =   1.0723885e-001
     iter =   78 error estimate =   1.0440136e-001
     iter =   79 error estimate =   1.0163895e-001
     iter =   80 error estimate =   9.8949631e-002
     iter =   81 error estimate =   9.6331471e-002
     iter =   82 error estimate =   9.3782587e-002
     iter =   83 error estimate =   9.1301145e-002
     iter =   84 error estimate =   8.8885360e-002
     iter =   85 error estimate =   8.6533496e-002
     iter =   86 error estimate =   8.4243862e-002
     iter =   87 error estimate =   8.2014809e-002
     iter =   88 error estimate =   7.9844737e-002
     iter =   89 error estimate =   7.7732083e-002
     iter =   90 error estimate =   7.5675330e-002
     iter =   91 error estimate =   7.3672997e-002
     iter =   92 error estimate =   7.1723645e-002
     iter =   93 error estimate =   6.9825872e-002
     iter =   94 error estimate =   6.7978313e-002
     iter =   95 error estimate =   6.6179639e-002
     iter =   96 error estimate =   6.4428558e-002
     iter =   97 error estimate =   6.2723809e-002
     iter =   98 error estimate =   6.1064167e-002
     iter =   99 error estimate =   5.9448438e-002
     iter =  100 error estimate =   5.7875461e-002
     iter =  101 error estimate =   5.6344104e-002
     iter =  102 error estimate =   5.4853266e-002
     iter =  103 error estimate =   5.3401875e-002
     iter =  104 error estimate =   5.1988887e-002
     iter =  105 error estimate =   5.0613286e-002
     iter =  106 error estimate =   4.9274083e-002
     iter =  107 error estimate =   4.7970314e-002
     iter =  108 error estimate =   4.6701043e-002
     iter =  109 error estimate =   4.5465356e-002
     iter =  110 error estimate =   4.4262364e-002
     iter =  111 error estimate =   4.3091203e-002
     iter =  112 error estimate =   4.1951031e-002
     iter =  113 error estimate =   4.0841027e-002
     iter =  114 error estimate =   3.9760393e-002
     iter =  115 error estimate =   3.8708352e-002
     iter =  116 error estimate =   3.7684147e-002
     iter =  117 error estimate =   3.6687043e-002
     iter =  118 error estimate =   3.5716321e-002
     iter =  119 error estimate =   3.4771285e-002
     iter =  120 error estimate =   3.3851253e-002
     iter =  121 error estimate =   3.2955565e-002
     iter =  122 error estimate =   3.2083577e-002
     iter =  123 error estimate =   3.1234661e-002
     iter =  124 error estimate =   3.0408207e-002
     iter =  125 error estimate =   2.9603620e-002
     iter =  126 error estimate =   2.8820322e-002
     iter =  127 error estimate =   2.8057751e-002
     iter =  128 error estimate =   2.7315356e-002
     iter =  129 error estimate =   2.6592605e-002
     iter =  130 error estimate =   2.5888977e-002
     iter =  131 error estimate =   2.5203967e-002
     iter =  132 error estimate =   2.4537082e-002
     iter =  133 error estimate =   2.3887843e-002
     iter =  134 error estimate =   2.3255782e-002
     iter =  135 error estimate =   2.2640445e-002
     iter =  136 error estimate =   2.2041390e-002
     iter =  137 error estimate =   2.1458185e-002
     iter =  138 error estimate =   2.0890412e-002
     iter =  139 error estimate =   2.0337662e-002
     iter =  140 error estimate =   1.9799537e-002
     iter =  141 error estimate =   1.9275651e-002
     iter =  142 error estimate =   1.8765626e-002
     iter =  143 error estimate =   1.8269097e-002
     iter =  144 error estimate =   1.7785705e-002
     iter =  145 error estimate =   1.7315104e-002
     iter =  146 error estimate =   1.6856955e-002
     iter =  147 error estimate =   1.6410928e-002
     iter =  148 error estimate =   1.5976703e-002
     iter =  149 error estimate =   1.5553967e-002
     iter =  150 error estimate =   1.5142416e-002
     iter =  151 error estimate =   1.4741755e-002
     iter =  152 error estimate =   1.4351695e-002
     iter =  153 error estimate =   1.3971956e-002
     iter =  154 error estimate =   1.3602265e-002
     iter =  155 error estimate =   1.3242356e-002
     iter =  156 error estimate =   1.2891969e-002
     iter =  157 error estimate =   1.2550854e-002
     iter =  158 error estimate =   1.2218764e-002
     iter =  159 error estimate =   1.1895462e-002
     iter =  160 error estimate =   1.1580714e-002
     iter =  161 error estimate =   1.1274293e-002
     iter =  162 error estimate =   1.0975981e-002
     iter =  163 error estimate =   1.0685562e-002
     iter =  164 error estimate =   1.0402827e-002
     iter =  165 error estimate =   1.0127573e-002
     iter =  166 error estimate =   9.8596025e-003
     iter =  167 error estimate =   9.5987222e-003
     iter =  168 error estimate =   9.3447446e-003
     iter =  169 error estimate =   9.0974871e-003
     iter =  170 error estimate =   8.8567720e-003
     iter =  171 error estimate =   8.6224260e-003
     iter =  172 error estimate =   8.3942808e-003
     iter =  173 error estimate =   8.1721721e-003
     iter =  174 error estimate =   7.9559404e-003
     iter =  175 error estimate =   7.7454300e-003
     iter =  176 error estimate =   7.5404897e-003
     iter =  177 error estimate =   7.3409719e-003
     iter =  178 error estimate =   7.1467333e-003
     iter =  179 error estimate =   6.9576342e-003
     iter =  180 error estimate =   6.7735385e-003
     iter =  181 error estimate =   6.5943140e-003
     iter =  182 error estimate =   6.4198316e-003
     iter =  183 error estimate =   6.2499659e-003
     iter =  184 error estimate =   6.0845948e-003
     iter =  185 error estimate =   5.9235994e-003
     iter =  186 error estimate =   5.7668638e-003
     iter =  187 error estimate =   5.6142753e-003
     iter =  188 error estimate =   5.4657243e-003
     iter =  189 error estimate =   5.3211038e-003
     iter =  190 error estimate =   5.1803100e-003
     iter =  191 error estimate =   5.0432415e-003
     iter =  192 error estimate =   4.9097997e-003
     iter =  193 error estimate =   4.7798888e-003
     iter =  194 error estimate =   4.6534152e-003
     iter =  195 error estimate =   4.5302881e-003
     iter =  196 error estimate =   4.4104188e-003
     iter =  197 error estimate =   4.2937213e-003
     iter =  198 error estimate =   4.1801115e-003
     iter =  199 error estimate =   4.0695077e-003
     iter =  200 error estimate =   3.9618305e-003
     iter =  201 error estimate =   3.8570024e-003
     iter =  202 error estimate =   3.7549479e-003
     iter =  203 error estimate =   3.6555938e-003
     iter =  204 error estimate =   3.5588686e-003
     iter =  205 error estimate =   3.4647026e-003
     iter =  206 error estimate =   3.3730282e-003
     iter =  207 error estimate =   3.2837795e-003
     iter =  208 error estimate =   3.1968923e-003
     iter =  209 error estimate =   3.1123041e-003
     iter =  210 error estimate =   3.0299540e-003
     iter =  211 error estimate =   2.9497829e-003
     iter =  212 error estimate =   2.8717330e-003
     iter =  213 error estimate =   2.7957483e-003
     iter =  214 error estimate =   2.7217742e-003
     iter =  215 error estimate =   2.6497573e-003
     iter =  216 error estimate =   2.5796460e-003
     iter =  217 error estimate =   2.5113898e-003
     iter =  218 error estimate =   2.4449397e-003
     iter =  219 error estimate =   2.3802477e-003
     iter =  220 error estimate =   2.3172675e-003
     iter =  221 error estimate =   2.2559537e-003
     iter =  222 error estimate =   2.1962623e-003
     iter =  223 error estimate =   2.1381502e-003
     iter =  224 error estimate =   2.0815758e-003
     iter =  225 error estimate =   2.0264983e-003
     iter =  226 error estimate =   1.9728781e-003
     iter =  227 error estimate =   1.9206767e-003
     iter =  228 error estimate =   1.8698566e-003
     iter =  229 error estimate =   1.8203810e-003
     iter =  230 error estimate =   1.7722146e-003
     iter =  231 error estimate =   1.7253227e-003
     iter =  232 error estimate =   1.6796715e-003
     iter =  233 error estimate =   1.6352282e-003
     iter =  234 error estimate =   1.5919608e-003
     iter =  235 error estimate =   1.5498383e-003
     iter =  236 error estimate =   1.5088303e-003
     iter =  237 error estimate =   1.4689074e-003
     iter =  238 error estimate =   1.4300408e-003
     iter =  239 error estimate =   1.3922026e-003
     iter =  240 error estimate =   1.3553656e-003
     iter =  241 error estimate =   1.3195033e-003
     iter =  242 error estimate =   1.2845899e-003
     iter =  243 error estimate =   1.2506002e-003
     iter =  244 error estimate =   1.2175099e-003
     iter =  245 error estimate =   1.1852952e-003
     iter =  246 error estimate =   1.1539329e-003
     iter =  247 error estimate =   1.1234004e-003
     iter =  248 error estimate =   1.0936757e-003
     iter =  249 error estimate =   1.0647376e-003
     iter =  250 error estimate =   1.0365652e-003
     iter =  251 error estimate =   1.0091381e-003
     iter =  252 error estimate =   9.8243683e-004
     iter =  253 error estimate =   9.5644202e-004
     iter =  254 error estimate =   9.3113502e-004
     iter =  255 error estimate =   9.0649764e-004
     iter =  256 error estimate =   8.8251214e-004
     iter =  257 error estimate =   8.5916130e-004
     iter =  258 error estimate =   8.3642830e-004
     iter =  259 error estimate =   8.1429681e-004
     iter =  260 error estimate =   7.9275091e-004
     iter =  261 error estimate =   7.7177510e-004
     iter =  262 error estimate =   7.5135430e-004
     iter =  263 error estimate =   7.3147383e-004
     iter =  264 error estimate =   7.1211938e-004
     iter =  265 error estimate =   6.9327704e-004
     iter =  266 error estimate =   6.7493326e-004
     iter =  267 error estimate =   6.5707485e-004
     iter =  268 error estimate =   6.3968897e-004
     iter =  269 error estimate =   6.2276311e-004
     iter =  270 error estimate =   6.0628509e-004
     iter =  271 error estimate =   5.9024308e-004
     iter =  272 error estimate =   5.7462553e-004
     iter =  273 error estimate =   5.5942122e-004
     iter =  274 error estimate =   5.4461920e-004
     iter =  275 error estimate =   5.3020884e-004
     iter =  276 error estimate =   5.1617976e-004
     iter =  277 error estimate =   5.0252190e-004
     iter =  278 error estimate =   4.8922541e-004
     iter =  279 error estimate =   4.7628074e-004
     iter =  280 error estimate =   4.6367858e-004
     iter =  281 error estimate =   4.5140987e-004
     iter =  282 error estimate =   4.3946578e-004
     iter =  283 error estimate =   4.2783772e-004
     iter =  284 error estimate =   4.1651734e-004
     iter =  285 error estimate =   4.0549649e-004
     iter =  286 error estimate =   3.9476725e-004
     iter =  287 error estimate =   3.8432190e-004
     iter =  288 error estimate =   3.7415293e-004
     iter =  289 error estimate =   3.6425302e-004
     iter =  290 error estimate =   3.5461506e-004
     iter =  291 error estimate =   3.4523212e-004
     iter =  292 error estimate =   3.3609744e-004
     iter =  293 error estimate =   3.2720446e-004
     iter =  294 error estimate =   3.1854679e-004
     iter =  295 error estimate =   3.1011819e-004
     iter =  296 error estimate =   3.0191262e-004
     iter =  297 error estimate =   2.9392415e-004
     iter =  298 error estimate =   2.8614706e-004
     iter =  299 error estimate =   2.7857575e-004
     iter =  300 error estimate =   2.7120477e-004
     iter =  301 error estimate =   2.6402882e-004
     iter =  302 error estimate =   2.5704274e-004
     iter =  303 error estimate =   2.5024151e-004
     iter =  304 error estimate =   2.4362024e-004
     iter =  305 error estimate =   2.3717417e-004
     iter =  306 error estimate =   2.3089866e-004
     iter =  307 error estimate =   2.2478919e-004
     iter =  308 error estimate =   2.1884137e-004
     iter =  309 error estimate =   2.1305094e-004
     iter =  310 error estimate =   2.0741371e-004
     iter =  311 error estimate =   2.0192564e-004
     iter =  312 error estimate =   1.9658279e-004
     iter =  313 error estimate =   1.9138130e-004
     iter =  314 error estimate =   1.8631744e-004
     iter =  315 error estimate =   1.8138757e-004
     iter =  316 error estimate =   1.7658815e-004
     iter =  317 error estimate =   1.7191571e-004
     iter =  318 error estimate =   1.6736690e-004
     iter =  319 error estimate =   1.6293845e-004
     iter =  320 error estimate =   1.5862718e-004
     iter =  321 error estimate =   1.5442998e-004
     iter =  322 error estimate =   1.5034384e-004
     iter =  323 error estimate =   1.4636581e-004
     iter =  324 error estimate =   1.4249304e-004
     iter =  325 error estimate =   1.3872275e-004
     iter =  326 error estimate =   1.3505221e-004
     iter =  327 error estimate =   1.3147879e-004
     iter =  328 error estimate =   1.2799993e-004
     iter =  329 error estimate =   1.2461311e-004
     iter =  330 error estimate =   1.2131591e-004
     iter =  331 error estimate =   1.1810595e-004
     iter =  332 error estimate =   1.1498092e-004
     iter =  333 error estimate =   1.1193858e-004
     iter =  334 error estimate =   1.0897674e-004
     iter =  335 error estimate =   1.0609327e-004
     iter =  336 error estimate =   1.0328609e-004
     iter =  337 error estimate =   1.0055319e-004
     iter =  338 error estimate =   9.7892599e-005
     iter =  339 error estimate =   9.5302408e-005
     iter =  340 error estimate =   9.2780752e-005
     iter =  341 error estimate =   9.0325818e-005
     iter =  342 error estimate =   8.7935840e-005
     iter =  343 error estimate =   8.5609100e-005
     iter =  344 error estimate =   8.3343924e-005
     iter =  345 error estimate =   8.1138684e-005
     iter =  346 error estimate =   7.8991793e-005
     iter =  347 error estimate =   7.6901708e-005
     iter =  348 error estimate =   7.4866926e-005
     iter =  349 error estimate =   7.2885983e-005
     iter =  350 error estimate =   7.0957455e-005
     iter =  351 error estimate =   6.9079955e-005
     iter =  352 error estimate =   6.7252132e-005
     iter =  353 error estimate =   6.5472673e-005
     iter =  354 error estimate =   6.3740298e-005
     iter =  355 error estimate =   6.2053760e-005
     iter =  356 error estimate =   6.0411847e-005
     iter =  357 error estimate =   5.8813379e-005
     iter =  358 error estimate =   5.7257205e-005
     iter =  359 error estimate =   5.5742207e-005
     iter =  360 error estimate =   5.4267295e-005
     iter =  361 error estimate =   5.2831408e-005
     iter =  362 error estimate =   5.1433515e-005
     iter =  363 error estimate =   5.0072608e-005
     iter =  364 error estimate =   4.8747711e-005
     iter =  365 error estimate =   4.7457870e-005
     iter =  366 error estimate =   4.6202158e-005
     iter =  367 error estimate =   4.4979671e-005
     iter =  368 error estimate =   4.3789530e-005
     iter =  369 error estimate =   4.2630880e-005
     iter =  370 error estimate =   4.1502888e-005
     iter =  371 error estimate =   4.0404741e-005
     iter =  372 error estimate =   3.9335651e-005
     iter =  373 error estimate =   3.8294849e-005
     iter =  374 error estimate =   3.7281585e-005
     iter =  375 error estimate =   3.6295133e-005
     iter =  376 error estimate =   3.5334781e-005
     iter =  377 error estimate =   3.4399839e-005
     iter =  378 error estimate =   3.3489636e-005
     iter =  379 error estimate =   3.2603517e-005
     iter =  380 error estimate =   3.1740843e-005
     iter =  381 error estimate =   3.0900996e-005
     iter =  382 error estimate =   3.0083370e-005
     iter =  383 error estimate =   2.9287379e-005
     iter =  384 error estimate =   2.8512449e-005
     iter =  385 error estimate =   2.7758023e-005
     iter =  386 error estimate =   2.7023559e-005
     iter =  387 error estimate =   2.6308529e-005
     iter =  388 error estimate =   2.5612418e-005
     iter =  389 error estimate =   2.4934725e-005
     iter =  390 error estimate =   2.4274964e-005
     iter =  391 error estimate =   2.3632660e-005
     iter =  392 error estimate =   2.3007352e-005
     iter =  393 error estimate =   2.2398588e-005
     iter =  394 error estimate =   2.1805932e-005
     iter =  395 error estimate =   2.1228958e-005
     iter =  396 error estimate =   2.0667250e-005
     iter =  397 error estimate =   2.0120404e-005
     iter =  398 error estimate =   1.9588028e-005
     iter =  399 error estimate =   1.9069738e-005
     iter =  400 error estimate =   1.8565162e-005
     iter =  401 error estimate =   1.8073937e-005
     iter =  402 error estimate =   1.7595709e-005
     iter =  403 error estimate =   1.7130135e-005
     iter =  404 error estimate =   1.6676880e-005
     iter =  405 error estimate =   1.6235618e-005
     iter =  406 error estimate =   1.5806031e-005
     iter =  407 error estimate =   1.5387811e-005
     iter =  408 error estimate =   1.4980657e-005
     iter =  409 error estimate =   1.4584276e-005
     iter =  410 error estimate =   1.4198383e-005
     iter =  411 error estimate =   1.3822701e-005
     iter =  412 error estimate =   1.3456959e-005
     iter =  413 error estimate =   1.3100894e-005
     iter =  414 error estimate =   1.2754251e-005
     iter =  415 error estimate =   1.2416779e-005
     iter =  416 error estimate =   1.2088237e-005
     iter =  417 error estimate =   1.1768388e-005
     iter =  418 error estimate =   1.1457002e-005
     iter =  419 error estimate =   1.1153856e-005
     iter =  420 error estimate =   1.0858730e-005
     iter =  421 error estimate =   1.0571413e-005
     iter =  422 error estimate =   1.0291699e-005
     iter =  423 error estimate =   1.0019385e-005
     iter =  424 error estimate =   9.7542770e-006
     iter =  425 error estimate =   9.4961836e-006
     iter =  426 error estimate =   9.2449191e-006
     iter =  427 error estimate =   9.0003030e-006
     iter =  428 error estimate =   8.7621593e-006
     iter =  429 error estimate =   8.5303167e-006
     iter =  430 error estimate =   8.3046087e-006
     iter =  431 error estimate =   8.0848727e-006
     iter =  432 error estimate =   7.8709508e-006
     iter =  433 error estimate =   7.6626893e-006
     iter =  434 error estimate =   7.4599382e-006
     iter =  435 error estimate =   7.2625518e-006
     iter =  436 error estimate =   7.0703882e-006
     iter =  437 error estimate =   6.8833091e-006
     iter =  438 error estimate =   6.7011800e-006
     iter =  439 error estimate =   6.5238700e-006
     iter =  440 error estimate =   6.3512516e-006
     iter =  441 error estimate =   6.1832005e-006
     iter =  442 error estimate =   6.0195960e-006
     iter =  443 error estimate =   5.8603204e-006
     iter =  444 error estimate =   5.7052591e-006
     iter =  445 error estimate =   5.5543007e-006
     iter =  446 error estimate =   5.4073365e-006
     iter =  447 error estimate =   5.2642610e-006
     iter =  448 error estimate =   5.1249712e-006
     iter =  449 error estimate =   4.9893669e-006
     iter =  450 error estimate =   4.8573507e-006
     iter =  451 error estimate =   4.7288275e-006
     iter =  452 error estimate =   4.6037050e-006
     iter =  453 error estimate =   4.4818932e-006
     iter =  454 error estimate =   4.3633044e-006
     iter =  455 error estimate =   4.2478535e-006
     iter =  456 error estimate =   4.1354573e-006
     iter =  457 error estimate =   4.0260351e-006
     iter =  458 error estimate =   3.9195081e-006
     iter =  459 error estimate =   3.8157998e-006
     iter =  460 error estimate =   3.7148356e-006
     iter =  461 error estimate =   3.6165428e-006
     iter =  462 error estimate =   3.5208509e-006
     iter =  463 error estimate =   3.4276908e-006
     iter =  464 error estimate =   3.3369958e-006
     iter =  465 error estimate =   3.2487005e-006
     iter =  466 error estimate =   3.1627414e-006
     iter =  467 error estimate =   3.0790568e-006
     iter =  468 error estimate =   2.9975864e-006
     iter =  469 error estimate =   2.9182717e-006
     iter =  470 error estimate =   2.8410557e-006
     iter =  471 error estimate =   2.7658827e-006
     iter =  472 error estimate =   2.6926988e-006
     iter =  473 error estimate =   2.6214512e-006
     iter =  474 error estimate =   2.5520889e-006
     iter =  475 error estimate =   2.4845619e-006
     iter =  476 error estimate =   2.4188215e-006
     iter =  477 error estimate =   2.3548207e-006
     iter =  478 error estimate =   2.2925133e-006
     iter =  479 error estimate =   2.2318545e-006
     iter =  480 error estimate =   2.1728007e-006
     iter =  481 error estimate =   2.1153094e-006
     iter =  482 error estimate =   2.0593393e-006
     iter =  483 error estimate =   2.0048502e-006
     iter =  484 error estimate =   1.9518028e-006
     iter =  485 error estimate =   1.9001591e-006
     iter =  486 error estimate =   1.8498818e-006
     iter =  487 error estimate =   1.8009348e-006
     iter =  488 error estimate =   1.7532829e-006
     iter =  489 error estimate =   1.7068919e-006
     iter =  490 error estimate =   1.6617283e-006
     iter =  491 error estimate =   1.6177598e-006
     iter =  492 error estimate =   1.5749547e-006
     iter =  493 error estimate =   1.5332821e-006
     iter =  494 error estimate =   1.4927122e-006
     iter =  495 error estimate =   1.4532158e-006
     iter =  496 error estimate =   1.4147644e-006
     iter =  497 error estimate =   1.3773304e-006
     iter =  498 error estimate =   1.3408869e-006
     iter =  499 error estimate =   1.3054077e-006
     iter =  500 error estimate =   1.2708672e-006
     iter =  501 error estimate =   1.2372407e-006
     iter =  502 error estimate =   1.2045039e-006
     iter =  503 error estimate =   1.1726333e-006
     iter =  504 error estimate =   1.1416060e-006
     iter =  505 error estimate =   1.1113996e-006
     iter =  506 error estimate =   1.0819925e-006
     iter =  507 error estimate =   1.0533635e-006
     iter =  508 error estimate =   1.0254920e-006
     iter =  509 error estimate =   9.9835799e-007
 ***************** passed ***********************
 **** dsjac  quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count = 509 stop test = 9.98358e-007

 dsgs   : itol = 11   isym = 1
     iter =    0 error estimate =   1.0000000e+000
     iter =    1 error estimate =   8.1644468e-001
     iter =    2 error estimate =   7.7206492e-001
     iter =    3 error estimate =   7.3160708e-001
     iter =    4 error estimate =   6.9351994e-001
     iter =    5 error estimate =   6.5744177e-001
     iter =    6 error estimate =   6.2324235e-001
     iter =    7 error estimate =   5.9082185e-001
     iter =    8 error estimate =   5.6008779e-001
     iter =    9 error estimate =   5.3095250e-001
     iter =   10 error estimate =   5.0333280e-001
     iter =   11 error estimate =   4.7714985e-001
     iter =   12 error estimate =   4.5232892e-001
     iter =   13 error estimate =   4.2879915e-001
     iter =   14 error estimate =   4.0649338e-001
     iter =   15 error estimate =   3.8534794e-001
     iter =   16 error estimate =   3.6530246e-001
     iter =   17 error estimate =   3.4629974e-001
     iter =   18 error estimate =   3.2828552e-001
     iter =   19 error estimate =   3.1120838e-001
     iter =   20 error estimate =   2.9501958e-001
     iter =   21 error estimate =   2.7967291e-001
     iter =   22 error estimate =   2.6512456e-001
     iter =   23 error estimate =   2.5133301e-001
     iter =   24 error estimate =   2.3825888e-001
     iter =   25 error estimate =   2.2586485e-001
     iter =   26 error estimate =   2.1411555e-001
     iter =   27 error estimate =   2.0297744e-001
     iter =   28 error estimate =   1.9241873e-001
     iter =   29 error estimate =   1.8240927e-001
     iter =   30 error estimate =   1.7292049e-001
     iter =   31 error estimate =   1.6392531e-001
     iter =   32 error estimate =   1.5539806e-001
     iter =   33 error estimate =   1.4731438e-001
     iter =   34 error estimate =   1.3965121e-001
     iter =   35 error estimate =   1.3238667e-001
     iter =   36 error estimate =   1.2550003e-001
     iter =   37 error estimate =   1.1897162e-001
     iter =   38 error estimate =   1.1278282e-001
     iter =   39 error estimate =   1.0691595e-001
     iter =   40 error estimate =   1.0135427e-001
     iter =   41 error estimate =   9.6081911e-002
     iter =   42 error estimate =   9.1083811e-002
     iter =   43 error estimate =   8.6345708e-002
     iter =   44 error estimate =   8.1854077e-002
     iter =   45 error estimate =   7.7596097e-002
     iter =   46 error estimate =   7.3559613e-002
     iter =   47 error estimate =   6.9733104e-002
     iter =   48 error estimate =   6.6105647e-002
     iter =   49 error estimate =   6.2666887e-002
     iter =   50 error estimate =   5.9407008e-002
     iter =   51 error estimate =   5.6316706e-002
     iter =   52 error estimate =   5.3387158e-002
     iter =   53 error estimate =   5.0610003e-002
     iter =   54 error estimate =   4.7977314e-002
     iter =   55 error estimate =   4.5481574e-002
     iter =   56 error estimate =   4.3115661e-002
     iter =   57 error estimate =   4.0872821e-002
     iter =   58 error estimate =   3.8746651e-002
     iter =   59 error estimate =   3.6731083e-002
     iter =   60 error estimate =   3.4820363e-002
     iter =   61 error estimate =   3.3009037e-002
     iter =   62 error estimate =   3.1291935e-002
     iter =   63 error estimate =   2.9664155e-002
     iter =   64 error estimate =   2.8121051e-002
     iter =   65 error estimate =   2.6658217e-002
     iter =   66 error estimate =   2.5271479e-002
     iter =   67 error estimate =   2.3956878e-002
     iter =   68 error estimate =   2.2710662e-002
     iter =   69 error estimate =   2.1529272e-002
     iter =   70 error estimate =   2.0409338e-002
     iter =   71 error estimate =   1.9347661e-002
     iter =   72 error estimate =   1.8341212e-002
     iter =   73 error estimate =   1.7387118e-002
     iter =   74 error estimate =   1.6482654e-002
     iter =   75 error estimate =   1.5625241e-002
     iter =   76 error estimate =   1.4812429e-002
     iter =   77 error estimate =   1.4041899e-002
     iter =   78 error estimate =   1.3311451e-002
     iter =   79 error estimate =   1.2619001e-002
     iter =   80 error estimate =   1.1962571e-002
     iter =   81 error estimate =   1.1340288e-002
     iter =   82 error estimate =   1.0750376e-002
     iter =   83 error estimate =   1.0191150e-002
     iter =   84 error estimate =   9.6610152e-003
     iter =   85 error estimate =   9.1584574e-003
     iter =   86 error estimate =   8.6820421e-003
     iter =   87 error estimate =   8.2304096e-003
     iter =   88 error estimate =   7.8022707e-003
     iter =   89 error estimate =   7.3964031e-003
     iter =   90 error estimate =   7.0116485e-003
     iter =   91 error estimate =   6.6469084e-003
     iter =   92 error estimate =   6.3011419e-003
     iter =   93 error estimate =   5.9733618e-003
     iter =   94 error estimate =   5.6626325e-003
     iter =   95 error estimate =   5.3680672e-003
     iter =   96 error estimate =   5.0888248e-003
     iter =   97 error estimate =   4.8241085e-003
     iter =   98 error estimate =   4.5731624e-003
     iter =   99 error estimate =   4.3352704e-003
     iter =  100 error estimate =   4.1097532e-003
     iter =  101 error estimate =   3.8959673e-003
     iter =  102 error estimate =   3.6933024e-003
     iter =  103 error estimate =   3.5011799e-003
     iter =  104 error estimate =   3.3190515e-003
     iter =  105 error estimate =   3.1463972e-003
     iter =  106 error estimate =   2.9827243e-003
     iter =  107 error estimate =   2.8275655e-003
     iter =  108 error estimate =   2.6804779e-003
     iter =  109 error estimate =   2.5410417e-003
     iter =  110 error estimate =   2.4088589e-003
     iter =  111 error estimate =   2.2835521e-003
     iter =  112 error estimate =   2.1647636e-003
     iter =  113 error estimate =   2.0521545e-003
     iter =  114 error estimate =   1.9454031e-003
     iter =  115 error estimate =   1.8442049e-003
     iter =  116 error estimate =   1.7482709e-003
     iter =  117 error estimate =   1.6573273e-003
     iter =  118 error estimate =   1.5711145e-003
     iter =  119 error estimate =   1.4893865e-003
     iter =  120 error estimate =   1.4119099e-003
     iter =  121 error estimate =   1.3384635e-003
     iter =  122 error estimate =   1.2688378e-003
     iter =  123 error estimate =   1.2028339e-003
     iter =  124 error estimate =   1.1402635e-003
     iter =  125 error estimate =   1.0809479e-003
     iter =  126 error estimate =   1.0247179e-003
     iter =  127 error estimate =   9.7141298e-004
     iter =  128 error estimate =   9.2088090e-004
     iter =  129 error estimate =   8.7297745e-004
     iter =  130 error estimate =   8.2756590e-004
     iter =  131 error estimate =   7.8451662e-004
     iter =  132 error estimate =   7.4370673e-004
     iter =  133 error estimate =   7.0501973e-004
     iter =  134 error estimate =   6.6834520e-004
     iter =  135 error estimate =   6.3357844e-004
     iter =  136 error estimate =   6.0062023e-004
     iter =  137 error estimate =   5.6937647e-004
     iter =  138 error estimate =   5.3975799e-004
     iter =  139 error estimate =   5.1168023e-004
     iter =  140 error estimate =   4.8506306e-004
     iter =  141 error estimate =   4.5983049e-004
     iter =  142 error estimate =   4.3591049e-004
     iter =  143 error estimate =   4.1323480e-004
     iter =  144 error estimate =   3.9173867e-004
     iter =  145 error estimate =   3.7136075e-004
     iter =  146 error estimate =   3.5204288e-004
     iter =  147 error estimate =   3.3372991e-004
     iter =  148 error estimate =   3.1636956e-004
     iter =  149 error estimate =   2.9991228e-004
     iter =  150 error estimate =   2.8431110e-004
     iter =  151 error estimate =   2.6952147e-004
     iter =  152 error estimate =   2.5550119e-004
     iter =  153 error estimate =   2.4221024e-004
     iter =  154 error estimate =   2.2961067e-004
     iter =  155 error estimate =   2.1766651e-004
     iter =  156 error estimate =   2.0634368e-004
     iter =  157 error estimate =   1.9560986e-004
     iter =  158 error estimate =   1.8543440e-004
     iter =  159 error estimate =   1.7578826e-004
     iter =  160 error estimate =   1.6664390e-004
     iter =  161 error estimate =   1.5797523e-004
     iter =  162 error estimate =   1.4975749e-004
     iter =  163 error estimate =   1.4196723e-004
     iter =  164 error estimate =   1.3458221e-004
     iter =  165 error estimate =   1.2758136e-004
     iter =  166 error estimate =   1.2094469e-004
     iter =  167 error estimate =   1.1465325e-004
     iter =  168 error estimate =   1.0868908e-004
     iter =  169 error estimate =   1.0303517e-004
     iter =  170 error estimate =   9.7675364e-005
     iter =  171 error estimate =   9.2594374e-005
     iter =  172 error estimate =   8.7777693e-005
     iter =  173 error estimate =   8.3211571e-005
     iter =  174 error estimate =   7.8882975e-005
     iter =  175 error estimate =   7.4779549e-005
     iter =  176 error estimate =   7.0889580e-005
     iter =  177 error estimate =   6.7201964e-005
     iter =  178 error estimate =   6.3706175e-005
     iter =  179 error estimate =   6.0392233e-005
     iter =  180 error estimate =   5.7250680e-005
     iter =  181 error estimate =   5.4272548e-005
     iter =  182 error estimate =   5.1449336e-005
     iter =  183 error estimate =   4.8772985e-005
     iter =  184 error estimate =   4.6235855e-005
     iter =  185 error estimate =   4.3830705e-005
     iter =  186 error estimate =   4.1550669e-005
     iter =  187 error estimate =   3.9389238e-005
     iter =  188 error estimate =   3.7340243e-005
     iter =  189 error estimate =   3.5397835e-005
     iter =  190 error estimate =   3.3556470e-005
     iter =  191 error estimate =   3.1810890e-005
     iter =  192 error estimate =   3.0156115e-005
     iter =  193 error estimate =   2.8587419e-005
     iter =  194 error estimate =   2.7100326e-005
     iter =  195 error estimate =   2.5690590e-005
     iter =  196 error estimate =   2.4354187e-005
     iter =  197 error estimate =   2.3087302e-005
     iter =  198 error estimate =   2.1886320e-005
     iter =  199 error estimate =   2.0747813e-005
     iter =  200 error estimate =   1.9668529e-005
     iter =  201 error estimate =   1.8645389e-005
     iter =  202 error estimate =   1.7675471e-005
     iter =  203 error estimate =   1.6756008e-005
     iter =  204 error estimate =   1.5884375e-005
     iter =  205 error estimate =   1.5058083e-005
     iter =  206 error estimate =   1.4274774e-005
     iter =  207 error estimate =   1.3532212e-005
     iter =  208 error estimate =   1.2828278e-005
     iter =  209 error estimate =   1.2160962e-005
     iter =  210 error estimate =   1.1528359e-005
     iter =  211 error estimate =   1.0928663e-005
     iter =  212 error estimate =   1.0360164e-005
     iter =  213 error estimate =   9.8212366e-006
     iter =  214 error estimate =   9.3103441e-006
     iter =  215 error estimate =   8.8260279e-006
     iter =  216 error estimate =   8.3669054e-006
     iter =  217 error estimate =   7.9316660e-006
     iter =  218 error estimate =   7.5190674e-006
     iter =  219 error estimate =   7.1279319e-006
     iter =  220 error estimate =   6.7571429e-006
     iter =  221 error estimate =   6.4056420e-006
     iter =  222 error estimate =   6.0724259e-006
     iter =  223 error estimate =   5.7565434e-006
     iter =  224 error estimate =   5.4570929e-006
     iter =  225 error estimate =   5.1732195e-006
     iter =  226 error estimate =   4.9041130e-006
     iter =  227 error estimate =   4.6490052e-006
     iter =  228 error estimate =   4.4071679e-006
     iter =  229 error estimate =   4.1779107e-006
     iter =  230 error estimate =   3.9605793e-006
     iter =  231 error estimate =   3.7545533e-006
     iter =  232 error estimate =   3.5592446e-006
     iter =  233 error estimate =   3.3740957e-006
     iter =  234 error estimate =   3.1985781e-006
     iter =  235 error estimate =   3.0321908e-006
     iter =  236 error estimate =   2.8744588e-006
     iter =  237 error estimate =   2.7249318e-006
     iter =  238 error estimate =   2.5831832e-006
     iter =  239 error estimate =   2.4488082e-006
     iter =  240 error estimate =   2.3214232e-006
     iter =  241 error estimate =   2.2006648e-006
     iter =  242 error estimate =   2.0861880e-006
     iter =  243 error estimate =   1.9776663e-006
     iter =  244 error estimate =   1.8747898e-006
     iter =  245 error estimate =   1.7772648e-006
     iter =  246 error estimate =   1.6848130e-006
     iter =  247 error estimate =   1.5971704e-006
     iter =  248 error estimate =   1.5140870e-006
     iter =  249 error estimate =   1.4353254e-006
     iter =  250 error estimate =   1.3606610e-006
     iter =  251 error estimate =   1.2898806e-006
     iter =  252 error estimate =   1.2227821e-006
     iter =  253 error estimate =   1.1591740e-006
     iter =  254 error estimate =   1.0988747e-006
     iter =  255 error estimate =   1.0417122e-006
     iter =  256 error estimate =   9.8752320e-007
 ***************** passed ***********************
 **** dsgs   quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count = 256 stop test = 9.87523e-007

 dsilur : itol = 11   isym = 1
     iter =    0 error estimate =   1.0000000e+000
     iter =    1 error estimate =   7.8210774e-001
     iter =    2 error estimate =   7.1761473e-001
     iter =    3 error estimate =   6.5874734e-001
     iter =    4 error estimate =   6.0473011e-001
     iter =    5 error estimate =   5.5514366e-001
     iter =    6 error estimate =   5.0962326e-001
     iter =    7 error estimate =   4.6783543e-001
     iter =    8 error estimate =   4.2947410e-001
     iter =    9 error estimate =   3.9425830e-001
     iter =   10 error estimate =   3.6193011e-001
     iter =   11 error estimate =   3.3225275e-001
     iter =   12 error estimate =   3.0500886e-001
     iter =   13 error estimate =   2.7999889e-001
     iter =   14 error estimate =   2.5703969e-001
     iter =   15 error estimate =   2.3596308e-001
     iter =   16 error estimate =   2.1661470e-001
     iter =   17 error estimate =   1.9885283e-001
     iter =   18 error estimate =   1.8254740e-001
     iter =   19 error estimate =   1.6757897e-001
     iter =   20 error estimate =   1.5383792e-001
     iter =   21 error estimate =   1.4122359e-001
     iter =   22 error estimate =   1.2964361e-001
     iter =   23 error estimate =   1.1901316e-001
     iter =   24 error estimate =   1.0925438e-001
     iter =   25 error estimate =   1.0029580e-001
     iter =   26 error estimate =   9.2071791e-002
     iter =   27 error estimate =   8.4522135e-002
     iter =   28 error estimate =   7.7591532e-002
     iter =   29 error estimate =   7.1229221e-002
     iter =   30 error estimate =   6.5388603e-002
     iter =   31 error estimate =   6.0026902e-002
     iter =   32 error estimate =   5.5104847e-002
     iter =   33 error estimate =   5.0586387e-002
     iter =   34 error estimate =   4.6438430e-002
     iter =   35 error estimate =   4.2630595e-002
     iter =   36 error estimate =   3.9134994e-002
     iter =   37 error estimate =   3.5926022e-002
     iter =   38 error estimate =   3.2980178e-002
     iter =   39 error estimate =   3.0275887e-002
     iter =   40 error estimate =   2.7793340e-002
     iter =   41 error estimate =   2.5514356e-002
     iter =   42 error estimate =   2.3422242e-002
     iter =   43 error estimate =   2.1501677e-002
     iter =   44 error estimate =   1.9738594e-002
     iter =   45 error estimate =   1.8120078e-002
     iter =   46 error estimate =   1.6634277e-002
     iter =   47 error estimate =   1.5270308e-002
     iter =   48 error estimate =   1.4018181e-002
     iter =   49 error estimate =   1.2868726e-002
     iter =   50 error estimate =   1.1813522e-002
     iter =   51 error estimate =   1.0844843e-002
     iter =   52 error estimate =   9.9555933e-003
     iter =   53 error estimate =   9.1392596e-003
     iter =   54 error estimate =   8.3898632e-003
     iter =   55 error estimate =   7.7019155e-003
     iter =   56 error estimate =   7.0703777e-003
     iter =   57 error estimate =   6.4906245e-003
     iter =   58 error estimate =   5.9584095e-003
     iter =   59 error estimate =   5.4698349e-003
     iter =   60 error estimate =   5.0213221e-003
     iter =   61 error estimate =   4.6095863e-003
     iter =   62 error estimate =   4.2316118e-003
     iter =   63 error estimate =   3.8846302e-003
     iter =   64 error estimate =   3.5661003e-003
     iter =   65 error estimate =   3.2736890e-003
     iter =   66 error estimate =   3.0052547e-003
     iter =   67 error estimate =   2.7588314e-003
     iter =   68 error estimate =   2.5326141e-003
     iter =   69 error estimate =   2.3249461e-003
     iter =   70 error estimate =   2.1343064e-003
     iter =   71 error estimate =   1.9592986e-003
     iter =   72 error estimate =   1.7986410e-003
     iter =   73 error estimate =   1.6511570e-003
     iter =   74 error estimate =   1.5157662e-003
     iter =   75 error estimate =   1.3914772e-003
     iter =   76 error estimate =   1.2773796e-003
     iter =   77 error estimate =   1.1726376e-003
     iter =   78 error estimate =   1.0764843e-003
     iter =   79 error estimate =   9.8821528e-004
     iter =   80 error estimate =   9.0718411e-004
     iter =   81 error estimate =   8.3279728e-004
     iter =   82 error estimate =   7.6450999e-004
     iter =   83 error estimate =   7.0182209e-004
     iter =   84 error estimate =   6.4427444e-004
     iter =   85 error estimate =   5.9144555e-004
     iter =   86 error estimate =   5.4294850e-004
     iter =   87 error estimate =   4.9842808e-004
     iter =   88 error estimate =   4.5755823e-004
     iter =   89 error estimate =   4.2003960e-004
     iter =   90 error estimate =   3.8559741e-004
     iter =   91 error estimate =   3.5397939e-004
     iter =   92 error estimate =   3.2495397e-004
     iter =   93 error estimate =   2.9830856e-004
     iter =   94 error estimate =   2.7384800e-004
     iter =   95 error estimate =   2.5139315e-004
     iter =   96 error estimate =   2.3077954e-004
     iter =   97 error estimate =   2.1185620e-004
     iter =   98 error estimate =   1.9448452e-004
     iter =   99 error estimate =   1.7853728e-004
     iter =  100 error estimate =   1.6389767e-004
     iter =  101 error estimate =   1.5045847e-004
     iter =  102 error estimate =   1.3812125e-004
     iter =  103 error estimate =   1.2679566e-004
     iter =  104 error estimate =   1.1639873e-004
     iter =  105 error estimate =   1.0685433e-004
     iter =  106 error estimate =   9.8092541e-005
     iter =  107 error estimate =   9.0049199e-005
     iter =  108 error estimate =   8.2665390e-005
     iter =  109 error estimate =   7.5887035e-005
     iter =  110 error estimate =   6.9664489e-005
     iter =  111 error estimate =   6.3952175e-005
     iter =  112 error estimate =   5.8708257e-005
     iter =  113 error estimate =   5.3894327e-005
     iter =  114 error estimate =   4.9475128e-005
     iter =  115 error estimate =   4.5418291e-005
     iter =  116 error estimate =   4.1694105e-005
     iter =  117 error estimate =   3.8275293e-005
     iter =  118 error estimate =   3.5136815e-005
     iter =  119 error estimate =   3.2255684e-005
     iter =  120 error estimate =   2.9610799e-005
     iter =  121 error estimate =   2.7182788e-005
     iter =  122 error estimate =   2.4953867e-005
     iter =  123 error estimate =   2.2907713e-005
     iter =  124 error estimate =   2.1029338e-005
     iter =  125 error estimate =   1.9304985e-005
     iter =  126 error estimate =   1.7722025e-005
     iter =  127 error estimate =   1.6268863e-005
     iter =  128 error estimate =   1.4934857e-005
     iter =  129 error estimate =   1.3710236e-005
     iter =  130 error estimate =   1.2586031e-005
     iter =  131 error estimate =   1.1554008e-005
     iter =  132 error estimate =   1.0606608e-005
     iter =  133 error estimate =   9.7368932e-006
     iter =  134 error estimate =   8.9384923e-006
     iter =  135 error estimate =   8.2055584e-006
     iter =  136 error estimate =   7.5327232e-006
     iter =  137 error estimate =   6.9150588e-006
     iter =  138 error estimate =   6.3480413e-006
     iter =  139 error estimate =   5.8275178e-006
     iter =  140 error estimate =   5.3496760e-006
     iter =  141 error estimate =   4.9110159e-006
     iter =  142 error estimate =   4.5083249e-006
     iter =  143 error estimate =   4.1386536e-006
     iter =  144 error estimate =   3.7992944e-006
     iter =  145 error estimate =   3.4877618e-006
     iter =  146 error estimate =   3.2017741e-006
     iter =  147 error estimate =   2.9392366e-006
     iter =  148 error estimate =   2.6982266e-006
     iter =  149 error estimate =   2.4769788e-006
     iter =  150 error estimate =   2.2738727e-006
     iter =  151 error estimate =   2.0874209e-006
     iter =  152 error estimate =   1.9162576e-006
     iter =  153 error estimate =   1.7591293e-006
     iter =  154 error estimate =   1.6148851e-006
     iter =  155 error estimate =   1.4824685e-006
     iter =  156 error estimate =   1.3609098e-006
     iter =  157 error estimate =   1.2493186e-006
     iter =  158 error estimate =   1.1468777e-006
     iter =  159 error estimate =   1.0528366e-006
     iter =  160 error estimate =   9.6650660e-007
 ***************** passed ***********************
 **** dsilur quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count = 160 stop test = 9.66507e-007

 dsdcg  : itol = 11   isym = 1
 preconditioned conjugate gradient for n, itol =   441   11
 iter   error estimate            alpha             beta
    0   1.0000000e+000   0.0000000e+000   0.0000000e+000
    1   8.2430074e-001   9.8404921e-001   0.0000000e+000
    2   7.9901574e-001   1.1327491e+000   1.4721200e-002
    3   6.3349621e-001   6.8135015e+000   1.4176235e-001
    4   6.4876230e-002   4.3831377e+000   4.7687570e+000
    5   4.7775205e-003   1.0609842e+000   3.5692975e-001
    6   6.3968372e-004   9.8944039e-001   1.8716806e-002
    7   8.8123389e-005   9.9247841e-001   1.7305613e-002
    8   1.1587878e-005   1.0074109e+000   1.7661996e-002
    9   1.5871738e-006   1.0196006e+000   1.7846473e-002
   10   1.9149340e-007   1.0386856e+000   1.6857420e-002
 ***************** passed ***********************
 **** dsdcg  quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test = 1.91493e-007

 dsiccg : itol = 11   isym = 1
 preconditioned conjugate gradient for n, itol =   441   11
 iter   error estimate            alpha             beta
    0   1.0000000e+000   1.0386856e+000   1.6857420e-002
    1   7.8189218e-001   1.0030831e+000   1.6857420e-002
    2   2.0094916e-001   9.0885278e+000   5.0072535e-003
    3   1.7777393e-003   1.3361292e+000   2.0247826e+000
    4   5.5698899e-005   1.0216947e+000   8.9482608e-004
    5   1.1718756e-006   1.0284776e+000   9.1938850e-004
    6   1.8363253e-008   1.0025991e+000   4.4800730e-004
 ***************** passed ***********************
 **** dsiccg quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 1.83633e-008

 dsdcgn : itol = 11   isym = 1
 pcg applied to the normal equations for n, itol =   441   11
 iter   error estimate            alpha             beta
    0   1.0000000e+000   1.0333451e+000   2.1066279e-003
    1   8.6179092e-001   9.6839405e-001   2.1066279e-003
    2   8.5273523e-001   1.0050137e+000   5.8140465e-002
    3   8.5148979e-001   1.3059693e+000   1.0520115e-001
    4   8.4935257e-001   4.3276138e+000   5.1683492e-001
    5   8.3044865e-001   9.3762197e+000   4.0319555e+000
    6   6.5712383e-001   7.8553018e+000   9.6915693e+000
    7   2.5076921e-001   2.2461048e+000   5.0041906e+000
    8   6.6705754e-002   1.1020665e+000   3.2281920e-001
    9   1.7824512e-002   1.0427831e+000   7.4729356e-002
   10   4.8468004e-003   1.0133425e+000   7.3275375e-002
   11   1.3179768e-003   1.0553424e+000   7.0996253e-002
   12   3.6439176e-004   1.0238745e+000   7.6011606e-002
   13   9.7788981e-005   1.0560777e+000   7.4464076e-002
   14   2.6345374e-005   1.0430657e+000   7.2872395e-002
   15   6.8872487e-006   1.0253380e+000   7.4174541e-002
   16   1.6151544e-006   1.0204857e+000   6.9649718e-002
   17   3.9470923e-007   9.9022748e-001   5.6393875e-002
 ***************** passed ***********************
 **** dsdcgn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  17 stop test = 3.94709e-007

 dslucn : itol = 11   isym = 1
 pcg applied to the normal equations for n, itol =   441   11
 iter   error estimate            alpha             beta
    0   1.0000000e+000   9.9022748e-001   5.6393875e-002
    1   8.4829938e-001   1.0082290e+000   5.6393875e-002
    2   8.0041545e-001   1.8484949e+001   1.5357360e-002
    3   1.5828487e-001   9.0773975e+000   1.5879170e+001
    4   1.3969190e-002   9.6890333e-001   3.7831857e-001
    5   8.4630423e-004   9.8987727e-001   7.6552893e-003
    6   3.4988968e-005   1.0330819e+000   3.5237993e-003
    7   1.2167757e-006   1.0104936e+000   1.7483479e-003
    8   4.1218424e-008   1.0050000e+000   1.2160549e-003
 ***************** passed ***********************
 **** dslucn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   8 stop test = 4.12184e-008

 dsdbcg : itol = 11   isym = 1
 preconditioned biconjugate gradient for n, itol =   441   11
 iter   error estimate            alpha             beta
    0   1.0000000e+000   1.0020666e+000   3.5672091e-004
    1   8.2430074e-001   9.8404921e-001   3.5672091e-004
    2   7.9901574e-001   1.1327491e+000   1.4721200e-002
    3   6.3349621e-001   6.8135015e+000   1.4176235e-001
    4   6.4876230e-002   4.3831377e+000   4.7687570e+000
    5   4.7775205e-003   1.0609842e+000   3.5692975e-001
    6   6.3968372e-004   9.8944039e-001   1.8716806e-002
    7   8.8123389e-005   9.9247841e-001   1.7305613e-002
    8   1.1587878e-005   1.0074109e+000   1.7661996e-002
    9   1.5871738e-006   1.0196006e+000   1.7846473e-002
   10   1.9149340e-007   1.0386856e+000   1.6857420e-002
 ***************** passed ***********************
 **** dsdbcg quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test = 1.91493e-007

 dslubc : itol = 11   isym = 1
 preconditioned biconjugate gradient for n, itol =   441   11
 iter   error estimate            alpha             beta
    0   1.0000000e+000   1.0386856e+000   1.6857420e-002
    1   7.8189218e-001   1.0030831e+000   1.6857420e-002
    2   2.0094916e-001   9.0885278e+000   5.0072535e-003
    3   1.7777393e-003   1.3361292e+000   2.0247826e+000
    4   5.5698899e-005   1.0216947e+000   8.9482608e-004
    5   1.1718756e-006   1.0284776e+000   9.1938850e-004
    6   1.8363253e-008   1.0025991e+000   4.4800730e-004
 ***************** passed ***********************
 **** dslubc quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 1.83633e-008

 dsdcgs : itol = 11   isym = 1
 preconditioned biconjugate gradient squared for n, itol =   441   11
 iter   error estimate            alpha             beta
    0   1.0000000e+000   1.0235958e+000   1.1702714e-003
    1   8.0243134e-001   9.8419716e-001   3.7081391e+001
    2   7.5145705e-001   1.1930285e+000   1.5520438e-002
    3   4.0723561e-001   8.2823902e+000   2.0180449e-001
    4   5.9104951e-003   3.4793457e+000   5.5585716e+000
    5   1.3368529e-004   1.0407444e+000   2.1685589e-001
    6   3.4150071e-006   9.9187149e-001   1.7459747e-002
    7   9.0834415e-008   9.9277147e-001   1.8159803e-002
 ***************** passed ***********************
 **** dsdcgs quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   7 stop test = 9.08344e-008

 dslucs : itol = 11   isym = 1
 preconditioned biconjugate gradient squared for n, itol =   441   11
 iter   error estimate            alpha             beta
    0   1.0000000e+000   9.9277147e-001   1.8159803e-002
    1   7.1583388e-001   1.0138241e+000   3.8067720e+001
    2   2.0392289e-002   1.0732179e+001   1.5519836e-002
    3   4.4283765e-005   1.1216532e+000   1.0194737e+000
    4   3.5275212e-008   1.0249943e+000   7.2182802e-004
 ***************** passed ***********************
 **** dslucs quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   4 stop test = 3.52752e-008

 dsdomn : itol = 11   isym = 1 nsave =  0
 preconditioned orthomin(  0) for n, itol =   441   11
 iter   error estimate            alpha
    0   1.0000000e+000   1.0035362e+000
    1   8.2495433e-001   9.6713562e-001
    2   8.0286111e-001   9.7945577e-001
    3   7.7675377e-001   1.2025114e+000
    4   7.5295651e-001   1.1713046e+000
    5   6.4807674e-001   5.2352111e+000
    6   6.3606934e-001   7.2626536e-001
    7   5.2011771e-001   6.9121391e+000
    8   5.0504998e-001   1.0626683e+000
    9   4.8711524e-001   1.3558197e+000
   10   4.4001323e-001   3.6275245e+000
   11   4.3170826e-001   7.3481820e-001
   12   3.0104980e-001   1.1464982e+001
   13   2.9308413e-001   9.5752411e-001
   14   2.8048006e-001   1.6401075e+000
   15   2.6071875e-001   2.6364744e+000
   16   2.5565270e-001   7.5301059e-001
   17   1.1897344e-001   2.0234021e+001
   18   1.1599066e-001   8.8280700e-001
   19   1.0930271e-001   2.1958212e+000
   20   1.0372967e-001   1.9001611e+000
   21   1.0158822e-001   7.9661937e-001
   22   6.5779106e-003   3.5346041e+001
   23   6.4383914e-003   8.1259335e-001
   24   5.7663141e-003   3.9194445e+000
   25   5.6530345e-003   7.6424504e-001
   26   3.7175042e-003   1.2957386e+001
   27   3.6217179e-003   9.4495277e-001
   28   3.3567943e-003   2.7790226e+000
   29   3.2167697e-003   1.5553482e+000
   30   3.1295765e-003   1.0379767e+000
   31   2.3996726e-003   8.7807174e+000
   32   2.3551903e-003   7.3728013e-001
   33   2.1011528e-003   4.0936618e+000
   34   2.0295625e-003   1.2637356e+000
   35   1.9649560e-003   1.2164121e+000
   36   1.7093918e-003   4.8873962e+000
   37   1.6767243e-003   7.4727113e-001
   38   1.2957819e-003   8.6075395e+000
   39   1.2599909e-003   1.0132284e+000
   40   1.1990222e-003   1.8428200e+000
   41   1.1269332e-003   2.2492378e+000
   42   1.1023549e-003   8.4061239e-001
   43   1.4852614e-004   3.2671093e+001
   44   1.4641655e-004   7.4146786e-001
   45   1.4321804e-004   8.4190729e-001
   46   2.4173128e-005   3.1377511e+001
   47   2.3832716e-005   7.2748181e-001
   48   2.3405824e-005   6.9335930e-001
   49   1.2429582e-005   1.7781797e+001
   50   1.2071786e-005   9.6462101e-001
   51   1.1870903e-005   6.4503800e-001
   52   8.7716361e-006   9.9096888e+000
   53   8.5041962e-006   1.0749694e+000
   54   8.3800791e-006   5.6875381e-001
   55   7.5227130e-006   3.9019959e+000
   56   7.1916114e-006   1.6025079e+000
   57   7.0932644e-006   5.3792598e-001
   58   6.7747817e-006   1.7191635e+000
   59   6.1529473e-006   3.4156300e+000
   60   6.0671727e-006   5.5843632e-001
   61   5.9064952e-006   1.0183110e+000
   62   3.8785781e-006   1.2912212e+001
   63   3.8201215e-006   6.4336201e-001
   64   3.7504867e-006   7.0456159e-001
   65   1.2280281e-006   2.5484780e+001
   66   1.1922177e-006   8.8327300e-001
   67   1.1753244e-006   5.5189493e-001
   68   1.0598126e-006   3.7499505e+000
   69   1.0115534e-006   1.6579954e+000
   70   9.9825300e-007   5.1880642e-001
 ***************** passed ***********************
 **** dsdomn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  70 stop test = 9.98253e-007

 dsdomn : itol = 11   isym = 1 nsave =  1
 preconditioned orthomin(  1) for n, itol =   441   11
 iter   error estimate            alpha
    0   1.0000000e+000   5.1880642e-001
    1   8.2495433e-001   9.6713562e-001
    2   8.0218057e-001   9.9089602e-001
    3   7.7417449e-001   1.2940518e+000
    4   6.4046628e-001   4.9214159e+000
    5   1.0814455e-001   4.9257029e+000
    6   2.1927049e-002   1.1184417e+000
    7   1.8092210e-002   1.0014775e+000
    8   1.7349347e-002   1.1955794e+000
    9   1.5279000e-002   3.6354065e+000
   10   5.3856545e-003   5.5046579e+000
   11   1.1358754e-003   1.4014812e+000
   12   7.4954337e-004   1.0601019e+000
   13   7.1224463e-004   1.0707531e+000
   14   6.5785694e-004   2.4275489e+000
   15   3.2199661e-004   7.1111918e+000
   16   5.4350842e-005   1.7468970e+000
   17   2.9244311e-005   1.0459178e+000
   18   2.7094393e-005   1.0841493e+000
   19   2.5458422e-005   1.8399642e+000
   20   1.8204088e-005   5.1869127e+000
   21   5.9553309e-006   2.5404961e+000
   22   2.4264562e-006   1.2935531e+000
   23   1.9935591e-006   1.0353695e+000
   24   1.8834691e-006   1.3476497e+000
   25   1.5699840e-006   4.0622632e+000
   26   6.9494776e-007   3.6489643e+000
 ***************** passed ***********************
 **** dsdomn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  26 stop test = 6.94948e-007

 dsdomn : itol = 11   isym = 1 nsave =  2
 preconditioned orthomin(  2) for n, itol =   441   11
 iter   error estimate            alpha
    0   1.0000000e+000   3.6489643e+000
    1   8.2495433e-001   9.6713562e-001
    2   8.0218057e-001   9.9089602e-001
    3   7.7397992e-001   1.3009262e+000
    4   6.2124481e-001   5.6549422e+000
    5   5.3177894e-002   4.5583745e+000
    6   1.1011855e-003   1.0677573e+000
    7   2.8652603e-004   9.9814126e-001
    8   2.6844431e-004   1.0238591e+000
    9   2.6089282e-004   9.9692229e-001
   10   2.4664334e-004   1.9628079e+000
   11   1.6758430e-004   6.4500793e+000
   12   1.7840377e-005   2.8222890e+000
   13   1.1780956e-006   1.1260399e+000
   14   4.7325095e-007   1.0588146e+000
 ***************** passed ***********************
 **** dsdomn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  14 stop test = 4.73251e-007

 dsdomn : itol = 11   isym = 1 nsave =  3
 preconditioned orthomin(  3) for n, itol =   441   11
 iter   error estimate            alpha
    0   1.0000000e+000   1.0588146e+000
    1   8.2495433e-001   9.6713562e-001
    2   8.0218057e-001   9.9089602e-001
    3   7.7397992e-001   1.3009262e+000
    4   5.9749002e-001   6.5261466e+000
    5   5.4712533e-002   3.9426206e+000
    6   7.9339277e-004   1.0706256e+000
    7   3.6766365e-004   9.8911628e-001
    8   1.2278229e-004   1.0012859e+000
    9   1.1110122e-004   1.0179974e+000
   10   1.0810093e-004   1.0155403e+000
   11   9.4697713e-005   4.9050935e+000
   12   1.1157045e-005   7.2742166e+000
   13   2.5911790e-007   1.1427560e+000
 ***************** passed ***********************
 **** dsdomn quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  13 stop test = 2.59118e-007

 dsluom : itol = 11   isym = 1 nsave =  0
 preconditioned orthomin(  0) for n, itol =   441   11
 iter   error estimate            alpha
    0   1.0000000e+000   1.1427560e+000
    1   7.8221416e-001   9.9849523e-001
    2   4.5158876e-001   5.1419863e+000
    3   4.1246337e-001   1.0704661e+000
    4   1.4957649e-001   7.7983716e+000
    5   1.3608123e-001   1.0361332e+000
    6   5.8261192e-002   6.9958878e+000
    7   5.3056019e-002   1.0435714e+000
    8   2.4310107e-002   6.6255852e+000
    9   2.2151575e-002   1.0469381e+000
   10   1.0189415e-002   6.6033141e+000
   11   9.2863977e-003   1.0459325e+000
   12   4.2438155e-003   6.6394674e+000
   13   3.8686763e-003   1.0436032e+000
   14   1.7357535e-003   6.7410426e+000
   15   1.5826944e-003   1.0401804e+000
   16   6.9169396e-004   6.8831563e+000
   17   6.3084681e-004   1.0361199e+000
   18   2.6660170e-004   7.0595094e+000
   19   2.4319910e-004   1.0316607e+000
   20   9.8728466e-005   7.2631347e+000
   21   9.0076518e-005   1.0270106e+000
   22   3.4906519e-005   7.4886389e+000
   23   3.1850694e-005   1.0223352e+000
   24   1.1714052e-005   7.7301364e+000
   25   1.0688794e-005   1.0177742e+000
   26   3.7115609e-006   7.9814714e+000
   27   3.3864708e-006   1.0134414e+000
   28   1.1055187e-006   8.2358430e+000
   29   1.0085137e-006   1.0094274e+000
   30   3.0860635e-007   8.4861299e+000
 ***************** passed ***********************
 **** dsluom quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  30 stop test = 3.08606e-007

 dsluom : itol = 11   isym = 1 nsave =  1
 preconditioned orthomin(  1) for n, itol =   441   11
 iter   error estimate            alpha
    0   1.0000000e+000   8.4861299e+000
    1   7.8221416e-001   9.9849523e-001
    2   4.4782264e-001   5.1911728e+000
    3   4.2464230e-003   2.3370940e+000
    4   1.3454909e-003   1.0186957e+000
    5   1.2375520e-003   1.0199023e+000
    6   1.2323551e-004   1.0949513e+001
    7   2.7282057e-006   1.1369063e+000
    8   2.2740545e-006   1.0012321e+000
    9   2.1038046e-006   1.0165746e+000
   10   1.5261393e-006   3.4866305e+000
   11   1.9929003e-008   3.6367052e+000
 ***************** passed ***********************
 **** dsluom quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  11 stop test = 1.99290e-008

 dsluom : itol = 11   isym = 1 nsave =  2
 preconditioned orthomin(  2) for n, itol =   441   11
 iter   error estimate            alpha
    0   1.0000000e+000   3.6367052e+000
    1   7.8221416e-001   9.9849523e-001
    2   4.4782264e-001   5.1911728e+000
    3   4.1949168e-003   2.3371668e+000
    4   1.2857683e-004   1.0280111e+000
    5   4.5502586e-005   1.0139841e+000
    6   4.1549583e-005   1.0522937e+000
    7   8.7927855e-006   1.0096158e+001
    8   1.9802442e-008   1.2918083e+000
 ***************** passed ***********************
 **** dsluom quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   8 stop test = 1.98024e-008

 dsluom : itol = 11   isym = 1 nsave =  3
 preconditioned orthomin(  3) for n, itol =   441   11
 iter   error estimate            alpha
    0   1.0000000e+000   1.2918083e+000
    1   7.8221416e-001   9.9849523e-001
    2   4.4782264e-001   5.1911728e+000
    3   4.1949168e-003   2.3371668e+000
    4   1.2786174e-004   1.0280193e+000
    5   1.5981368e-006   1.0266958e+000
    6   3.9638947e-007   1.0025007e+000
 ***************** passed ***********************
 **** dsluom quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 3.96389e-007

 dsdgmr : itol = 11   isym = 1 nsave =  5
 generalized minimum residual(441  0) for n, itol =     5    5
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.3166429e-001   1.3166429e-001
    2   4.4128100e-002   4.4128100e-002
    3   3.9293782e-002   3.9293782e-002
    4   3.4736825e-002   3.4736825e-002
    5   8.4366426e-003   8.4366426e-003
    5   8.4366426e-003   8.4366426e-003
    6   2.9576638e-003   2.9576638e-003
    7   2.3146407e-003   2.3146407e-003
    8   2.2079255e-003   2.2079255e-003
    9   8.3159082e-004   8.3159082e-004
   10   1.0663909e-004   1.0663909e-004
   10   1.0663909e-004   1.0663909e-004
   11   1.8049668e-005   1.8049668e-005
   12   4.9352493e-006   4.9352493e-006
   13   4.3413936e-006   4.3413936e-006
   14   3.7987209e-006   3.7987209e-006
   15   1.3530726e-006   1.3530726e-006
   15   1.3530726e-006   1.3530726e-006
   16   3.8068473e-007   3.8068473e-007
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  16 stop test = 3.80685e-007

 dsdgmr : itol = 11   isym = 1 nsave =  6
 generalized minimum residual(441  0) for n, itol =     6    6
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.3166429e-001   1.3166429e-001
    2   4.4128100e-002   4.4128100e-002
    3   3.9293782e-002   3.9293782e-002
    4   3.4736825e-002   3.4736825e-002
    5   8.4366426e-003   8.4366426e-003
    6   1.1851645e-003   1.1851645e-003
    6   1.1851645e-003   1.1851645e-003
    7   2.3093056e-004   2.3093056e-004
    8   3.8413283e-005   3.8413283e-005
    9   2.6561305e-005   2.6561305e-005
   10   2.4177217e-005   2.4177217e-005
   11   1.4058963e-005   1.4058963e-005
   12   2.2300582e-006   2.2300582e-006
   12   2.2300582e-006   2.2300582e-006
   13   5.1218158e-007   5.1218158e-007
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  13 stop test = 5.12182e-007

 dsdgmr : itol = 11   isym = 1 nsave =  7
 generalized minimum residual(441  0) for n, itol =     7    7
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.3166429e-001   1.3166429e-001
    2   4.4128100e-002   4.4128100e-002
    3   3.9293782e-002   3.9293782e-002
    4   3.4736825e-002   3.4736825e-002
    5   8.4366426e-003   8.4366426e-003
    6   1.1851645e-003   1.1851645e-003
    7   1.5954889e-004   1.5954889e-004
    7   1.5954889e-004   1.5954889e-004
    8   3.2185878e-005   3.2185878e-005
    9   1.4360494e-005   1.4360494e-005
   10   1.3927205e-005   1.3927205e-005
   11   1.0533194e-005   1.0533194e-005
   12   2.4299557e-006   2.4299557e-006
   13   3.4448112e-007   3.4448112e-007
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  13 stop test = 3.44481e-007

 dsdgmr : itol = 11   isym = 1 nsave =  8
 generalized minimum residual(441  0) for n, itol =     8    8
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.3166429e-001   1.3166429e-001
    2   4.4128100e-002   4.4128100e-002
    3   3.9293782e-002   3.9293782e-002
    4   3.4736825e-002   3.4736825e-002
    5   8.4366426e-003   8.4366426e-003
    6   1.1851645e-003   1.1851645e-003
    7   1.5954889e-004   1.5954889e-004
    8   2.0702656e-005   2.0702656e-005
    8   2.0702656e-005   2.0702656e-005
    9   4.1810100e-006   4.1810100e-006
   10   9.1065035e-007   9.1065035e-007
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test = 9.10650e-007

 dsdgmr : itol = 11   isym = 1 nsave =  9
 generalized minimum residual(441  0) for n, itol =     9    9
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.3166429e-001   1.3166429e-001
    2   4.4128100e-002   4.4128100e-002
    3   3.9293782e-002   3.9293782e-002
    4   3.4736825e-002   3.4736825e-002
    5   8.4366426e-003   8.4366426e-003
    6   1.1851645e-003   1.1851645e-003
    7   1.5954889e-004   1.5954889e-004
    8   2.0702656e-005   2.0702656e-005
    9   2.7922269e-006   2.7922269e-006
    9   2.7922269e-006   2.7922269e-006
   10   5.3061512e-007   5.3061512e-007
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test = 5.30615e-007

 dsdgmr : itol = 11   isym = 1 nsave = 10
 generalized minimum residual(441  0) for n, itol =    10   10
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.3166429e-001   1.3166429e-001
    2   4.4128100e-002   4.4128100e-002
    3   3.9293782e-002   3.9293782e-002
    4   3.4736825e-002   3.4736825e-002
    5   8.4366426e-003   8.4366426e-003
    6   1.1851645e-003   1.1851645e-003
    7   1.5954889e-004   1.5954889e-004
    8   2.0702656e-005   2.0702656e-005
    9   2.7922269e-006   2.7922269e-006
   10   3.4375767e-007   3.4375767e-007
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test = 3.43758e-007

 dsdgmr : itol = 11   isym = 1 nsave = 11
 generalized minimum residual(441  0) for n, itol =    11   11
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.3166429e-001   1.3166429e-001
    2   4.4128100e-002   4.4128100e-002
    3   3.9293782e-002   3.9293782e-002
    4   3.4736825e-002   3.4736825e-002
    5   8.4366426e-003   8.4366426e-003
    6   1.1851645e-003   1.1851645e-003
    7   1.5954889e-004   1.5954889e-004
    8   2.0702656e-005   2.0702656e-005
    9   2.7922269e-006   2.7922269e-006
   10   3.4375767e-007   3.4375767e-007
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test = 3.43758e-007

 dsdgmr : itol = 11   isym = 1 nsave = 12
 generalized minimum residual(441  0) for n, itol =    12   12
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.3166429e-001   1.3166429e-001
    2   4.4128100e-002   4.4128100e-002
    3   3.9293782e-002   3.9293782e-002
    4   3.4736825e-002   3.4736825e-002
    5   8.4366426e-003   8.4366426e-003
    6   1.1851645e-003   1.1851645e-003
    7   1.5954889e-004   1.5954889e-004
    8   2.0702656e-005   2.0702656e-005
    9   2.7922269e-006   2.7922269e-006
   10   3.4375767e-007   3.4375767e-007
 ***************** passed ***********************
 **** dsdgmr quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =  10 stop test = 3.43758e-007

 dslugm : itol = 11   isym = 1 nsave =  5
 generalized minimum residual(441  0) for n, itol =     5    5
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.2296295e-001   1.2296295e-001
    2   8.6518135e-002   8.6518135e-002
    3   3.2543886e-003   3.2543886e-003
    4   1.0035448e-004   1.0035448e-004
    5   2.1928783e-006   2.1928783e-006
    5   2.1928783e-006   2.1928783e-006
    6   1.6696455e-007   1.6696455e-007
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 1.66965e-007

 dslugm : itol = 11   isym = 1 nsave =  6
 generalized minimum residual(441  0) for n, itol =     6    6
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.2296295e-001   1.2296295e-001
    2   8.6518135e-002   8.6518135e-002
    3   3.2543886e-003   3.2543886e-003
    4   1.0035448e-004   1.0035448e-004
    5   2.1928783e-006   2.1928783e-006
    6   3.4488829e-008   3.4488829e-008
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 3.44888e-008

 dslugm : itol = 11   isym = 1 nsave =  7
 generalized minimum residual(441  0) for n, itol =     7    7
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.2296295e-001   1.2296295e-001
    2   8.6518135e-002   8.6518135e-002
    3   3.2543886e-003   3.2543886e-003
    4   1.0035448e-004   1.0035448e-004
    5   2.1928783e-006   2.1928783e-006
    6   3.4488829e-008   3.4488829e-008
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 3.44888e-008

 dslugm : itol = 11   isym = 1 nsave =  8
 generalized minimum residual(441  0) for n, itol =     8    8
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.2296295e-001   1.2296295e-001
    2   8.6518135e-002   8.6518135e-002
    3   3.2543886e-003   3.2543886e-003
    4   1.0035448e-004   1.0035448e-004
    5   2.1928783e-006   2.1928783e-006
    6   3.4488829e-008   3.4488829e-008
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 3.44888e-008

 dslugm : itol = 11   isym = 1 nsave =  9
 generalized minimum residual(441  0) for n, itol =     9    9
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.2296295e-001   1.2296295e-001
    2   8.6518135e-002   8.6518135e-002
    3   3.2543886e-003   3.2543886e-003
    4   1.0035448e-004   1.0035448e-004
    5   2.1928783e-006   2.1928783e-006
    6   3.4488829e-008   3.4488829e-008
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 3.44888e-008

 dslugm : itol = 11   isym = 1 nsave = 10
 generalized minimum residual(441  0) for n, itol =    10   10
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.2296295e-001   1.2296295e-001
    2   8.6518135e-002   8.6518135e-002
    3   3.2543886e-003   3.2543886e-003
    4   1.0035448e-004   1.0035448e-004
    5   2.1928783e-006   2.1928783e-006
    6   3.4488829e-008   3.4488829e-008
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 3.44888e-008

 dslugm : itol = 11   isym = 1 nsave = 11
 generalized minimum residual(441  0) for n, itol =    11   11
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.2296295e-001   1.2296295e-001
    2   8.6518135e-002   8.6518135e-002
    3   3.2543886e-003   3.2543886e-003
    4   1.0035448e-004   1.0035448e-004
    5   2.1928783e-006   2.1928783e-006
    6   3.4488829e-008   3.4488829e-008
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 3.44888e-008

 dslugm : itol = 11   isym = 1 nsave = 12
 generalized minimum residual(441  0) for n, itol =    12   12
 iter   natral err est   error estimate
    0   1.0000000e+000   1.0000000e+000
    1   1.2296295e-001   1.2296295e-001
    2   8.6518135e-002   8.6518135e-002
    3   3.2543886e-003   3.2543886e-003
    4   1.0035448e-004   1.0035448e-004
    5   2.1928783e-006   2.1928783e-006
    6   3.4488829e-008   3.4488829e-008
 ***************** passed ***********************
 **** dslugm quick test passed: ierr =     0 ****
 ***************** passed ***********************
 iteration count =   6 stop test = 3.44888e-008


*******************************************************
**** all slap double precision quick checks passed ****
****                 no errors                     ****
*******************************************************
rc= 0
** dist/dnsimp.f
LM

 Ritz values (Real, Imag) and residual residuals
 
               col   1       col   2       col   3       
  row   1:   7.16197e+002  1.02958e+003  1.22559e-014
  row   2:   7.16197e+002 -1.02958e+003  1.22559e-014
  row   3:   6.87583e+002  1.02958e+003  8.19407e-015
  row   4:   6.87583e+002 -1.02958e+003  8.19407e-015
  
 
 _NSIMP 
 ====== 
 
 Size of the matrix is 100
 The number of Ritz values requested is 4
 The number of Arnoldi vectors generated (NCV) is 20
 What portion of the spectrum: LM
 The number of converged Ritz values is 4
 The number of Implicit Arnoldi update iterations taken is 26
 The number of OP*x is 408
 The convergence criterion is 1.110223024625157e-016
 
rc= 0
** dist/equivalence.f
1010101010
rc= 0
** dist/fftpack4-test.f
0n  120 rfftf  1.918e-015 rfftb  5.684e-013 rfftfb 4.441e-016 sint   3.840e-015 sintfb 1.332e-015 cost   3.923e-015
        costfb 5.884e-015 sinqf  1.123e-012 sinqb  2.813e-015 sinqfb 5.551e-016 cosqf  2.546e-015 cosqb  4.382e-015
        cosqfb 5.551e-016 dezf   3.874e-015 dezb   2.998e-014 dezfb  3.553e-015 cfftf  6.809e-015 cfftb  9.234e-014
        cfftfb 8.951e-016
0n   54 rfftf  9.540e-016 rfftb  1.030e-013 rfftfb 4.996e-016 sint   8.175e-016 sintfb 1.554e-015 cost   9.704e-016
        costfb 1.076e-015 sinqf  7.527e-014 sinqb  1.118e-015 sinqfb 8.882e-016 cosqf  2.423e-016 cosqb  6.579e-016
        cosqfb 4.163e-016 dezf   1.776e-015 dezb   7.438e-015 dezfb  9.992e-016 cfftf  4.903e-015 cfftb  1.835e-014
        cfftfb 6.474e-016
0n   49 rfftf  1.174e-015 rfftb  1.050e-013 rfftfb 1.665e-015 sint   1.097e-015 sintfb 2.109e-015 cost   9.924e-016
        costfb 3.886e-015 sinqf  2.061e-013 sinqb  8.701e-016 sinqfb 1.887e-015 cosqf  9.788e-016 cosqb  7.318e-016
        cosqfb 1.998e-015 dezf   2.512e-015 dezb   1.110e-014 dezfb  2.776e-015 cfftf  1.006e-014 cfftb  3.220e-014
        cfftfb 8.083e-016
0n   32 rfftf  5.699e-016 rfftb  3.642e-014 rfftfb 3.331e-016 sint   1.221e-015 sintfb 4.718e-016 cost   1.277e-015
        costfb 6.661e-016 sinqf  4.574e-014 sinqb  6.106e-016 sinqfb 3.331e-016 cosqf  4.094e-016 cosqb  9.992e-016
        cosqfb 2.220e-016 dezf   1.141e-015 dezb   6.800e-015 dezfb  5.551e-016 cfftf  2.192e-015 cfftb  1.199e-014
        cfftfb 4.743e-016
0n    4 rfftf  0.000e+000 rfftb  4.441e-016 rfftfb 1.110e-016 sint   5.551e-017 sintfb 0.000e+000 cost   5.551e-017
        costfb 3.331e-016 sinqf  1.110e-015 sinqb  1.388e-016 sinqfb 1.665e-016 cosqf  2.776e-017 cosqb  2.776e-017
        cosqfb 1.110e-016 dezf   0.000e+000 dezb   1.110e-016 dezfb  5.551e-017 cfftf  2.220e-016 cfftb  3.331e-016
        cfftfb 1.110e-016
0n    3 rfftf  7.401e-017 rfftb  1.110e-016 rfftfb 2.220e-016 sint   3.701e-017 sintfb 1.110e-016 cost   1.665e-016
        costfb 2.220e-016 sinqf  6.661e-016 sinqb  1.665e-016 sinqfb 1.110e-016 cosqf  9.252e-017 cosqb  1.480e-016
        cosqfb 2.220e-016 dezf   2.220e-016 dezb   2.776e-016 dezfb  1.665e-016 cfftf  3.052e-016 cfftb  3.511e-016
        cfftfb 2.776e-017
0n    2 rfftf  0.000e+000 rfftb  0.000e+000 rfftfb 5.551e-017 sint   0.000e+000 sintfb 0.000e+000 cost   0.000e+000
        costfb 0.000e+000 sinqf  2.220e-016 sinqb  5.551e-017 sinqfb 1.110e-016 cosqf  1.388e-017 cosqb  2.776e-017
        cosqfb 1.110e-016 dezf   0.000e+000 dezb   0.000e+000 dezfb  5.551e-017 cfftf  1.570e-016 cfftb  1.570e-016
        cfftfb 1.110e-016
rc= 0
** dist/fftpack51d-test.f
 
fftpack5.1_test():
  FORTRAN77 version
  Test fftpack5.1().
 
TEST01
  For complex fast Fourier transforms, 1D,
  CFFT1I initializes the transform,
  CFFT1F does a forward transform;
  CFFT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1: -1.228468e-001  -1.871080e-002
         2:  7.792095e-001  -4.495924e-001
         3:  3.866674e-001   1.573881e-002
         4: -7.324502e-001   5.315492e-001
         5:  2.972862e-001   4.042642e-001
         6:  2.896339e-001  -7.521377e-001
         7:  1.715879e-001   6.820451e-001
         8:  5.642492e-001   4.017819e-001
  ........  ..............  ..............
      4096:  2.785087e-002   3.264577e-001
 
  The FFT coefficients:
 
         1: -7.791712e-004  -1.697665e-003
         2:  2.691706e-003   1.711167e-002
         3: -9.850163e-004  -5.571892e-003
         4:  7.834265e-003   4.724658e-003
         5: -1.286497e-002   1.580526e-003
         6:  1.313721e-003   2.002341e-002
         7:  1.241405e-002   1.976439e-003
         8:  1.075364e-003  -1.011861e-003
  ........  ..............  ..............
      4096: -6.116062e-003   5.464670e-003
 
  The retrieved data:
 
         1: -1.228467e-001  -1.871072e-002
         2:  7.792094e-001  -4.495923e-001
         3:  3.866674e-001   1.573879e-002
         4: -7.324501e-001   5.315491e-001
         5:  2.972862e-001   4.042642e-001
         6:  2.896339e-001  -7.521378e-001
         7:  1.715880e-001   6.820451e-001
         8:  5.642493e-001   4.017818e-001
  ........  ..............  ..............
      4096:  2.785084e-002   3.264576e-001
 
TEST02
  For complex fast Fourier transforms, 2D,
  CFFT2I initializes the transform,
  CFFT2F does a forward transform;
  CFFT2B does a backward transform.
 
  The data is stored in an L by M array, with
  L =   32
  M =   64
  Workspace size LENSAV =      211
 
  Part of the original data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.23e-001-1.87e-002-5.99e-001-5.35e-001-9.52e-001-3.29e-0027.241e-0012.293e-001
    2 7.792e-001-4.50e-0013.195e-0013.223e-002-1.80e-001-1.34e-0025.276e-0013.101e-002
    3 3.867e-0011.574e-002-9.68e-001-4.21e-002-2.23e-0017.492e-001-1.72e-0011.359e-001
    4 -7.32e-0015.315e-0018.065e-001-4.95e-0014.580e-001-5.18e-0026.202e-0016.435e-001
    5 2.973e-0014.043e-0018.024e-001-1.96e-0018.635e-0014.934e-001-5.74e-0011.719e-001
 
  Col:          5          
  Row
  ---
    1 -5.68e-003-7.49e-001
    2 -4.00e-0029.900e-001
    3 8.095e-0012.121e-001
    4 -8.47e-0027.332e-001
    5 3.779e-0014.886e-001
 
  Part of the FFT coefficients:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.17e-0027.040e-0033.606e-0039.515e-005-1.93e-002-4.41e-0032.804e-0025.250e-003
    2 1.547e-0021.397e-003-5.96e-0036.147e-0033.199e-003-1.33e-0039.904e-0031.175e-002
    3 9.261e-0036.592e-0031.391e-0025.865e-0031.205e-003-1.42e-003-8.49e-003-1.04e-003
    4 9.780e-0035.867e-003-2.20e-0031.145e-004-3.99e-0049.938e-003-2.88e-0037.857e-003
    5 -1.16e-0028.162e-003-6.04e-003-2.10e-002-2.44e-0024.868e-0039.960e-003-5.32e-003
 
  Col:          5          
  Row
  ---
    1 -5.81e-003-4.37e-003
    2 -3.79e-003-2.49e-002
    3 3.537e-003-9.19e-003
    4 -2.68e-0029.208e-003
    5 -1.43e-0038.370e-003
 
  Part of the retrieved data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.23e-001-1.87e-002-5.99e-001-5.35e-001-9.52e-001-3.29e-0027.241e-0012.293e-001
    2 7.792e-001-4.50e-0013.195e-0013.223e-002-1.80e-001-1.34e-0025.276e-0013.101e-002
    3 3.867e-0011.574e-002-9.68e-001-4.21e-002-2.23e-0017.492e-001-1.72e-0011.359e-001
    4 -7.32e-0015.315e-0018.065e-001-4.95e-0014.580e-001-5.18e-0026.202e-0016.435e-001
    5 2.973e-0014.043e-0018.024e-001-1.96e-0018.635e-0014.934e-001-5.74e-0011.719e-001
 
  Col:          5          
  Row
  ---
    1 -5.68e-003-7.49e-001
    2 -4.00e-0029.900e-001
    3 8.095e-0012.121e-001
    4 -8.47e-0027.332e-001
    5 3.779e-0014.886e-001
 
TEST03
  For complex fast Fourier transforms,
  1D, multiple
  CFFTMI initializes the transform,
  CFFTMF does a forward transform;
  CFFTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.23e-001-1.87e-002-5.99e-001-5.35e-001-9.52e-001-3.29e-0027.241e-0012.293e-001
    2 7.792e-001-4.50e-0013.195e-0013.223e-002-1.80e-001-1.34e-0025.276e-0013.101e-002
    3 3.867e-0011.574e-002-9.68e-001-4.21e-002-2.23e-0017.492e-001-1.72e-0011.359e-001
    4 -7.32e-0015.315e-0018.065e-001-4.95e-0014.580e-001-5.18e-0026.202e-0016.435e-001
    5 2.973e-0014.043e-0018.024e-001-1.96e-0018.635e-0014.934e-001-5.74e-0011.719e-001
 
  Col:          5          
  Row
  ---
    1 -5.68e-003-7.49e-001
    2 -4.00e-0029.900e-001
    3 8.095e-0012.121e-001
    4 -8.47e-0027.332e-001
    5 3.779e-0014.886e-001
 
  Part of the FFT coefficients:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.33e-0013.489e-002-1.03e-0015.821e-002-5.67e-0021.702e-0011.072e-001-2.09e-002
    2 2.731e-002-1.09e-001-5.13e-002-1.19e-001-7.12e-0022.090e-0027.512e-0021.010e-001
    3 -7.85e-002-7.28e-002-6.71e-002-1.15e-0015.246e-002-7.68e-0027.264e-0023.180e-003
    4 1.268e-0038.209e-0038.000e-0037.360e-002-8.45e-002-2.64e-0029.778e-0021.137e-001
    5 -6.01e-002-1.34e-001-1.45e-001-2.03e-002-5.52e-002-1.10e-001-8.39e-0027.648e-002
 
  Col:          5          
  Row
  ---
    1 2.441e-0021.705e-001
    2 2.241e-0011.331e-001
    3 1.757e-0011.374e-001
    4 -1.46e-001-9.57e-002
    5 -4.20e-002-4.52e-002
 
  Part of the retrieved data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.23e-001-1.87e-002-5.99e-001-5.35e-001-9.52e-001-3.29e-0027.241e-0012.293e-001
    2 7.792e-001-4.50e-0013.195e-0013.223e-002-1.80e-001-1.34e-0025.276e-0013.101e-002
    3 3.867e-0011.574e-002-9.68e-001-4.21e-002-2.23e-0017.492e-001-1.72e-0011.359e-001
    4 -7.32e-0015.315e-0018.065e-001-4.95e-0014.580e-001-5.18e-0026.202e-0016.435e-001
    5 2.973e-0014.043e-0018.024e-001-1.96e-0018.635e-0014.934e-001-5.74e-0011.719e-001
 
  Col:          5          
  Row
  ---
    1 -5.68e-003-7.49e-001
    2 -4.00e-0029.900e-001
    3 8.095e-0012.121e-001
    4 -8.47e-0027.332e-001
    5 3.779e-0014.886e-001
 
TEST04
  For real fast cosine transforms, 1D,
  COSQ1I initializes the transform,
  COSQ1F does a forward transform;
  COSQ1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  7.024575e+146
         2:  3.477365e+142
         3: -7.392556e+152
         4: -4.292572e-165
         5: -3.430856e-011
         6: -2.098565e+003
         7: -2.695666e+157
         8: -2.709769e-168
  ........  ..............
      4096:  1.527900e-004
 
  The retrieved data:
 
         1:  1.404448e+306
         2:  1.404448e+306
         3:  1.404449e+306
         4:  0.000000e+000
         5:  2.926462e-307
         6:  0.000000e+000
         7:  0.000000e+000
         8:  0.000000e+000
  ........  ..............
      4096:  1.527900e-004
 
TEST05
  For real fast cosine transforms, 
  1D, multiple
  COSQMI initializes the transform,
  COSQMF does a forward transform;
  COSQMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  2.790696e+146-2.077526e+141-4.619823e+133 1.105009e-003 2.836338e-002
    2  7.934671e+000 6.034725e+000 8.410224e+000 1.878073e-002 3.159410e-002
    3 -2.871290e+003-1.899664e+157 9.178306e-152-2.268613e-002-2.036026e-003
    4  1.061100e+155 9.570987e+154 1.187286e+155 3.584853e-002 3.198671e-002
    5  2.506156e-014-2.799043e-154-2.029454e-014-6.296487e-003-3.819203e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.404448e+306 1.404448e+306 1.404448e+306 1.105009e-003 2.836338e-002
    2  1.052271e+003 1.021734e+003 1.193037e+003 9.390363e-003 1.579705e-002
    3  0.000000e+000 0.000000e+000 0.000000e+000 1.134307e-002 1.018013e-003
    4 -2.247118e+307-2.247118e+307-2.247117e+307 1.792427e-002 1.599336e-002
    5  0.000000e+000 2.921296e-306 0.000000e+000 3.148244e-003 1.909602e-002
 
TEST06
  For real fast cosine transforms, 1D,
  COST1I initializes the transform,
  COST1F does a forward transform;
  COST1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  4.968322e-001
         2: -8.211929e-003
         3: -1.519711e-004
         4: -6.790636e-003
         5:  1.035867e-002
         6: -1.457587e-002
         7:  1.041602e-003
         8: -1.477348e-002
  ........  ..............
      4096:  2.255165e-003
 
  The retrieved data:
 
         1:  1.521368e-002
         2:  5.242244e-001
         3:  8.093299e-001
         4:  9.166969e-001
         5:  1.497710e-001
         6:  6.490900e-003
         7:  8.190183e-001
         8:  4.000844e-001
  ........  ..............
      4096:  6.260475e-001
 
TEST07
  For real fast cosine transforms, 
  1D, multiple
  COSTMI initializes the transform,
  COSTMF does a forward transform;
  COSTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  4.335204e-001 4.763915e-001 4.605430e-001 4.467144e-001 4.587907e-001
    2  1.117409e-002-4.038638e-002 1.273646e-001-3.217935e-002-3.669486e-002
    3  4.938783e-002 1.211189e-001 1.236721e-002-4.771496e-002 6.454659e-002
    4  2.167185e-002-4.442693e-002-1.240381e-001-3.456980e-002 4.767627e-002
    5 -2.023005e-002-8.991857e-002-7.754773e-002-5.668926e-002-7.682096e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544257e-002 8.197565e-001 6.448872e-001 3.535950e-002 9.076270e-001
    2  5.240556e-001 6.474858e-001 6.159999e-001 3.004923e-001 5.055057e-001
    3  8.093004e-001 2.895579e-001 1.031129e-001 3.629779e-001 3.257694e-002
    4  9.167090e-001 6.061280e-001 1.600235e-002 5.735762e-001 5.117870e-001
    5  1.497603e-001 1.958945e-001 9.388641e-001 1.007442e-001 6.110725e-001
 
TEST08
  For real fast Fourier transforms, 1D,
  RFFT1I initializes the transform,
  RFFT1F does a forward transform;
  RFFT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     4112
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  4.967891e-001
         2: -2.365448e-004
         3: -5.004897e-004
         4:  1.027492e-002
         5:  3.746790e-003
         6:  9.383352e-004
         7: -3.061651e-003
         8: -3.086756e-003
  ........  ..............
      4096:  2.180223e-003
 
  The retrieved data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474623e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
TEST09
  For real fast Fourier transforms, 2D,
  RFFT2I initializes the transform,
  RFFT2F does a forward transform;
  RFFT2B does a backward transform.
 
  The L by M data is stored in an 
  LDIM by M array, with
  L =   32
  LDIM =   34
  M =   64
  Workspace size LENSAV =      253
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 2.895583e-001 9.388652e-001 6.700090e-001 9.890571e-001
    2  5.240560e-001 6.061282e-001 5.069254e-001 8.405598e-001 8.261553e-002
    3  8.093007e-001 1.958944e-001 8.950980e-001 2.895148e-001 5.192075e-001
    4  9.167103e-001 3.978888e-001 9.124581e-001 8.749418e-001 3.207761e-001
    5  1.497594e-001 3.167617e-001 6.823919e-001 1.464994e-001 2.842876e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  4.935200e-001 1.790724e-003-9.245379e-004-7.069174e-003 2.341063e-003
    2 -1.620305e-001-9.741977e-002-1.866084e-001 7.509927e-002 9.536813e-002
    3 -4.805362e-002-2.273623e-002-2.286220e-001-2.121189e-001-1.555431e-001
    4 -1.865061e-002-4.647318e-002-8.896423e-002-7.769167e-004-1.366722e-002
    5  2.850935e-002 4.841077e-002 1.716703e-002-7.151920e-002 1.286686e-001
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  2.482579e+001-2.677318e+001 4.896669e+000-2.017467e+000 1.689149e+001
    2 -5.211763e+000-2.272017e+001 2.296276e+001 1.689523e+000 1.033316e+001
    3  2.561965e+001-2.670032e+001 4.663841e+000-2.017113e+000 1.593252e+001
    4 -5.407808e+000-2.325503e+001 2.542646e+001 1.601120e+000 1.109495e+001
    5  2.496011e+001-2.643828e+001 4.290855e+000-1.837258e+000 1.528294e+001
 
TEST10
  For real fast Fourier transforms, 
  1D, multiple
  RFFTMI initializes the transform,
  RFFTMF does a forward transform;
  RFFTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       41
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  4.329756e-001 4.813754e-001 4.581277e-001 4.386824e-001 4.658699e-001
    2  4.496567e-002 1.210363e-001 2.134641e-002-6.390878e-002 6.988679e-002
    3 -7.051200e-003-3.860676e-002 1.626172e-001-6.370456e-003-5.371577e-002
    4 -2.275003e-002-9.756715e-002-8.987674e-002-7.511895e-002-4.663404e-002
    5  1.020670e-002-7.367038e-002-3.790945e-002-2.663925e-002 7.467188e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031128e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600159e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
TEST11
  For real fast sine transforms, 1D,
  SINQ1I initializes the transform,
  SINQ1F does a forward transform;
  SINQ1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  2.058680e+138
         2:  3.564015e+146
         3: -8.091036e+152
         4: -6.784052e+143
         5: -2.255603e+003
         6: -8.040325e-011
         7: -2.475737e+157
         8: -1.476604e-162
  ........  ..............
      4096: -3.769880e-006
 
  The retrieved data:
 
         1:  3.769880e-006
         2:  1.279434e-004
         3:  1.975832e-004
         4:  2.238062e-004
         5:  3.656236e-005
         6:  1.580719e-006
         7:  1.999580e-004
         8:  9.767734e-005
  ........  ..............
      4096:  1.797693e+308
 
TEST12
  For real fast sine transforms, 1D, multiple
  SINQMI initializes the transform,
  SINQMF does a forward transform;
  SINQMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.013772e+157-7.855971e+146 5.876501e+143 1.075056e-002 1.446940e-002
    2 -1.758075e+000-2.558595e+000-4.903875e+000-2.946073e-002-3.024582e-002
    3  2.690015e-012-1.781325e-151 1.391958e+142-2.962855e-002-5.772700e-002
    4 -1.034740e+159-1.211577e+155-6.914336e+154-1.682610e-003-1.930878e-004
    5  2.700469e+140-4.486440e-150 1.917171e+003-2.503803e-002-3.425285e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.404448e+306 1.404448e+306 1.404448e+306 1.105009e-003 2.836338e-002
    2  1.052271e+003 7.724445e+002 1.076508e+003 9.390363e-003 1.579705e-002
    3  0.000000e+000 0.000000e+000 0.000000e+000 1.134307e-002 1.018013e-003
    4 -2.247118e+307-2.247118e+307-2.247117e+307 1.792427e-002 1.599336e-002
    5  4.008806e-306 2.921295e-306 0.000000e+000 3.148244e-003 1.909602e-002
 
TEST13
  For real fast sine transforms, 1D,
  SINT1I initializes the transform,
  SINT1F does a forward transform;
  SINT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     6160
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  6.317403e-001
         2: -5.066211e-004
         3:  2.049937e-001
         4:  3.745686e-003
         5:  1.333628e-001
         6: -3.089169e-003
         7:  9.499257e-002
         8: -8.871841e-003
  ........  ..............
      4096:  8.372152e-005
 
  The retrieved data:
 
         1:  1.793136e-002
         2:  5.241199e-001
         3:  8.103243e-001
         4:  9.166806e-001
         5:  1.503697e-001
         6:  6.458239e-003
         7:  8.194695e-001
         8:  4.000370e-001
  ........  ..............
      4096:  6.281352e-001
 
TEST14
  For real fast sine transforms, 1D, multiple
  SINTMI initializes the transform,
  SINTMF does a forward transform;
  SINTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       57
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  5.357711e-001 5.668813e-001 5.875102e-001 5.903182e-001 5.641288e-001
    2 -3.529250e-003-2.711475e-002 1.604908e-001-1.545561e-002-4.384141e-002
    3  2.320186e-001 3.273027e-001 2.372392e-001 1.753053e-001 2.695781e-001
    4  4.551533e-003-8.266398e-002-5.869332e-002-4.268725e-002 6.095848e-002
    5  9.918996e-002 4.960547e-002 6.792102e-002 7.029730e-002 4.640442e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544159e-002 8.197559e-001 6.448855e-001 3.535891e-002 9.076275e-001
    2  5.240559e-001 6.474858e-001 6.160001e-001 3.004923e-001 5.055059e-001
    3  8.093007e-001 2.895582e-001 1.031127e-001 3.629781e-001 3.257628e-002
    4  9.167101e-001 6.061284e-001 1.600206e-002 5.735768e-001 5.117877e-001
    5  1.497596e-001 1.958945e-001 9.388651e-001 1.007436e-001 6.110725e-001
 
fftpack5.1_test():
  Normal end of execution.
 
rc= 0
** dist/fftpack51s-test.f
 
fftpack5.1_test():
  FORTRAN77 version
  Test fftpack5.1().
 
TEST01
  For complex fast Fourier transforms, 1D,
  CFFT1I initializes the transform,
  CFFT1F does a forward transform;
  CFFT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1: -1.228468e-001  -1.871080e-002
         2:  7.792096e-001  -4.495922e-001
         3:  3.866674e-001   1.573881e-002
         4: -7.324502e-001   5.315491e-001
         5:  2.972862e-001   4.042642e-001
         6:  2.896340e-001  -7.521377e-001
         7:  1.715879e-001   6.820450e-001
         8:  5.642492e-001   4.017819e-001
  ........  ..............  ..............
      4096:  2.785089e-002   3.264577e-001
 
  The FFT coefficients:
 
         1: -7.791712e-004  -1.697664e-003
         2:  2.691709e-003   1.711167e-002
         3: -9.850166e-004  -5.571892e-003
         4:  7.834265e-003   4.724660e-003
         5: -1.286497e-002   1.580526e-003
         6:  1.313720e-003   2.002341e-002
         7:  1.241405e-002   1.976440e-003
         8:  1.075365e-003  -1.011860e-003
  ........  ..............  ..............
      4096: -6.116061e-003   5.464671e-003
 
  The retrieved data:
 
         1: -1.228467e-001  -1.871076e-002
         2:  7.792096e-001  -4.495921e-001
         3:  3.866673e-001   1.573879e-002
         4: -7.324501e-001   5.315492e-001
         5:  2.972864e-001   4.042642e-001
         6:  2.896340e-001  -7.521375e-001
         7:  1.715879e-001   6.820452e-001
         8:  5.642493e-001   4.017818e-001
  ........  ..............  ..............
      4096:  2.785084e-002   3.264576e-001
 
TEST02
  For complex fast Fourier transforms, 2D,
  CFFT2I initializes the transform,
  CFFT2F does a forward transform;
  CFFT2B does a backward transform.
 
  The data is stored in an L by M array, with
  L =   32
  M =   64
  Workspace size LENSAV =      211
 
  Part of the original data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.23e-001-1.87e-002-5.99e-001-5.35e-001-9.52e-001-3.29e-0027.241e-0012.293e-001
    2 7.792e-001-4.50e-0013.195e-0013.223e-002-1.80e-001-1.34e-0025.276e-0013.101e-002
    3 3.867e-0011.574e-002-9.68e-001-4.21e-002-2.23e-0017.492e-001-1.72e-0011.359e-001
    4 -7.32e-0015.315e-0018.065e-001-4.95e-0014.580e-001-5.18e-0026.202e-0016.435e-001
    5 2.973e-0014.043e-0018.024e-001-1.96e-0018.635e-0014.934e-001-5.74e-0011.719e-001
 
  Col:          5          
  Row
  ---
    1 -5.68e-003-7.49e-001
    2 -4.00e-0029.900e-001
    3 8.095e-0012.121e-001
    4 -8.47e-0027.332e-001
    5 3.779e-0014.886e-001
 
  Part of the FFT coefficients:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.17e-0027.040e-0033.606e-0039.515e-005-1.93e-002-4.41e-0032.804e-0025.250e-003
    2 1.547e-0021.397e-003-5.96e-0036.147e-0033.199e-003-1.33e-0039.904e-0031.175e-002
    3 9.261e-0036.592e-0031.391e-0025.865e-0031.205e-003-1.42e-003-8.49e-003-1.04e-003
    4 9.780e-0035.867e-003-2.20e-0031.145e-004-3.99e-0049.938e-003-2.88e-0037.857e-003
    5 -1.16e-0028.162e-003-6.04e-003-2.10e-002-2.44e-0024.868e-0039.960e-003-5.32e-003
 
  Col:          5          
  Row
  ---
    1 -5.81e-003-4.37e-003
    2 -3.79e-003-2.49e-002
    3 3.537e-003-9.19e-003
    4 -2.68e-0029.208e-003
    5 -1.43e-0038.370e-003
 
  Part of the retrieved data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.23e-001-1.87e-002-5.99e-001-5.35e-001-9.52e-001-3.29e-0027.241e-0012.293e-001
    2 7.792e-001-4.50e-0013.195e-0013.223e-002-1.80e-001-1.34e-0025.276e-0013.101e-002
    3 3.867e-0011.574e-002-9.68e-001-4.21e-002-2.23e-0017.492e-001-1.72e-0011.359e-001
    4 -7.32e-0015.315e-0018.065e-001-4.95e-0014.580e-001-5.18e-0026.202e-0016.435e-001
    5 2.973e-0014.043e-0018.024e-001-1.96e-0018.635e-0014.934e-001-5.74e-0011.719e-001
 
  Col:          5          
  Row
  ---
    1 -5.68e-003-7.49e-001
    2 -4.00e-0029.900e-001
    3 8.095e-0012.121e-001
    4 -8.47e-0027.332e-001
    5 3.779e-0014.886e-001
 
TEST03
  For complex fast Fourier transforms,
  1D, multiple
  CFFTMI initializes the transform,
  CFFTMF does a forward transform;
  CFFTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.23e-001-1.87e-002-5.99e-001-5.35e-001-9.52e-001-3.29e-0027.241e-0012.293e-001
    2 7.792e-001-4.50e-0013.195e-0013.223e-002-1.80e-001-1.34e-0025.276e-0013.101e-002
    3 3.867e-0011.574e-002-9.68e-001-4.21e-002-2.23e-0017.492e-001-1.72e-0011.359e-001
    4 -7.32e-0015.315e-0018.065e-001-4.95e-0014.580e-001-5.18e-0026.202e-0016.435e-001
    5 2.973e-0014.043e-0018.024e-001-1.96e-0018.635e-0014.934e-001-5.74e-0011.719e-001
 
  Col:          5          
  Row
  ---
    1 -5.68e-003-7.49e-001
    2 -4.00e-0029.900e-001
    3 8.095e-0012.121e-001
    4 -8.47e-0027.332e-001
    5 3.779e-0014.886e-001
 
  Part of the FFT coefficients:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.33e-0013.489e-002-1.03e-0015.821e-002-5.67e-0021.702e-0011.072e-001-2.09e-002
    2 2.731e-002-1.09e-001-5.13e-002-1.19e-001-7.12e-0022.090e-0027.512e-0021.010e-001
    3 -7.85e-002-7.28e-002-6.71e-002-1.15e-0015.246e-002-7.68e-0027.264e-0023.180e-003
    4 1.268e-0038.209e-0038.000e-0037.360e-002-8.45e-002-2.64e-0029.778e-0021.137e-001
    5 -6.01e-002-1.34e-001-1.45e-001-2.03e-002-5.52e-002-1.10e-001-8.39e-0027.648e-002
 
  Col:          5          
  Row
  ---
    1 2.441e-0021.705e-001
    2 2.241e-0011.331e-001
    3 1.757e-0011.374e-001
    4 -1.46e-001-9.57e-002
    5 -4.20e-002-4.52e-002
 
  Part of the retrieved data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.23e-001-1.87e-002-5.99e-001-5.35e-001-9.52e-001-3.29e-0027.241e-0012.293e-001
    2 7.792e-001-4.50e-0013.195e-0013.223e-002-1.80e-001-1.34e-0025.276e-0013.101e-002
    3 3.867e-0011.574e-002-9.68e-001-4.21e-002-2.23e-0017.492e-001-1.72e-0011.359e-001
    4 -7.32e-0015.315e-0018.065e-001-4.95e-0014.580e-001-5.18e-0026.202e-0016.435e-001
    5 2.973e-0014.043e-0018.024e-001-1.96e-0018.635e-0014.934e-001-5.74e-0011.719e-001
 
  Col:          5          
  Row
  ---
    1 -5.68e-003-7.49e-001
    2 -4.00e-0029.900e-001
    3 8.095e-0012.121e-001
    4 -8.47e-0027.332e-001
    5 3.779e-0014.886e-001
 
TEST04
  For real fast cosine transforms, 1D,
  COSQ1I initializes the transform,
  COSQ1F does a forward transform;
  COSQ1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  6.283191e-001
         2: -2.144524e-001
         3:  1.211894e-001
         4: -8.655626e-002
         5:  6.924143e-002
         6: -6.774490e-002
         7:  4.607677e-002
         8: -5.603608e-002
  ........  ..............
      4096:  2.900243e-003
 
  The retrieved data:
 
         1:  1.544136e-002
         2:  5.240560e-001
         3:  8.093008e-001
         4:  9.167103e-001
         5:  1.497593e-001
         6:  6.474644e-003
         7:  8.190278e-001
         8:  4.000865e-001
  ........  ..............
      4096:  6.258276e-001
 
TEST05
  For real fast cosine transforms, 
  1D, multiple
  COSQMI initializes the transform,
  COSQMF does a forward transform;
  COSQMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  5.540786e-001 5.818251e-001 6.323565e-001 5.601194e-001 5.663158e-001
    2 -1.576761e-001-1.789256e-001-7.725947e-002-2.375673e-001-1.999137e-001
    3  1.615073e-001 2.225275e-001 4.306407e-002 8.008134e-002 2.014770e-001
    4 -8.714887e-002-2.063382e-001-1.953692e-001-1.304874e-001-8.502726e-002
    5  6.079677e-002 5.127163e-002 1.652646e-002 3.175736e-002-4.386165e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544142e-002 8.197564e-001 6.448871e-001 3.536025e-002 9.076282e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031128e-001 3.629782e-001 3.257643e-002
    4  9.167103e-001 6.061281e-001 1.600161e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388653e-001 1.007438e-001 6.110725e-001
 
TEST06
  For real fast cosine transforms, 1D,
  COST1I initializes the transform,
  COST1F does a forward transform;
  COST1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  4.968322e-001
         2: -8.211929e-003
         3: -1.519712e-004
         4: -6.790634e-003
         5:  1.035867e-002
         6: -1.457587e-002
         7:  1.041600e-003
         8: -1.477348e-002
  ........  ..............
      4096:  2.255148e-003
 
  The retrieved data:
 
         1:  1.520580e-002
         2:  5.242286e-001
         3:  8.093255e-001
         4:  9.167063e-001
         5:  1.497719e-001
         6:  6.497049e-003
         7:  8.190184e-001
         8:  4.000898e-001
  ........  ..............
      4096:  6.260560e-001
 
TEST07
  For real fast cosine transforms, 
  1D, multiple
  COSTMI initializes the transform,
  COSTMF does a forward transform;
  COSTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  4.335204e-001 4.763915e-001 4.605430e-001 4.467144e-001 4.587907e-001
    2  1.117409e-002-4.038638e-002 1.273646e-001-3.217935e-002-3.669485e-002
    3  4.938782e-002 1.211188e-001 1.236724e-002-4.771493e-002 6.454661e-002
    4  2.167184e-002-4.442693e-002-1.240381e-001-3.456980e-002 4.767627e-002
    5 -2.023006e-002-8.991856e-002-7.754772e-002-5.668927e-002-7.682097e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544271e-002 8.197564e-001 6.448873e-001 3.535907e-002 9.076269e-001
    2  5.240555e-001 6.474857e-001 6.159998e-001 3.004925e-001 5.055057e-001
    3  8.093002e-001 2.895578e-001 1.031129e-001 3.629780e-001 3.257702e-002
    4  9.167089e-001 6.061280e-001 1.600244e-002 5.735763e-001 5.117871e-001
    5  1.497603e-001 1.958944e-001 9.388641e-001 1.007443e-001 6.110725e-001
 
TEST08
  For real fast Fourier transforms, 1D,
  RFFT1I initializes the transform,
  RFFT1F does a forward transform;
  RFFT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     4112
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  4.967891e-001
         2: -2.365452e-004
         3: -5.004896e-004
         4:  1.027492e-002
         5:  3.746789e-003
         6:  9.383352e-004
         7: -3.061651e-003
         8: -3.086757e-003
  ........  ..............
      4096:  2.180234e-003
 
  The retrieved data:
 
         1:  1.544139e-002
         2:  5.240561e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474763e-003
         7:  8.190277e-001
         8:  4.000863e-001
  ........  ..............
      4096:  6.258278e-001
 
TEST09
  For real fast Fourier transforms, 2D,
  RFFT2I initializes the transform,
  RFFT2F does a forward transform;
  RFFT2B does a backward transform.
 
  The L by M data is stored in an 
  LDIM by M array, with
  L =   32
  LDIM =   34
  M =   64
  Workspace size LENSAV =      253
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 2.895583e-001 9.388652e-001 6.700090e-001 9.890571e-001
    2  5.240560e-001 6.061282e-001 5.069254e-001 8.405598e-001 8.261553e-002
    3  8.093007e-001 1.958944e-001 8.950980e-001 2.895148e-001 5.192075e-001
    4  9.167103e-001 3.978888e-001 9.124581e-001 8.749418e-001 3.207761e-001
    5  1.497594e-001 3.167617e-001 6.823919e-001 1.464994e-001 2.842876e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  4.935200e-001 1.790725e-003-9.245388e-004-7.069176e-003 2.341063e-003
    2  6.959524e-004 8.439255e-003 9.581808e-004-4.028394e-003 3.711266e-003
    3  2.152503e-003-1.197615e-003-3.712994e-003 9.641644e-003-1.458950e-003
    4 -4.563855e-003-4.213371e-003-5.222340e-004-3.661542e-003-3.340445e-004
    5 -6.058487e-003 1.520342e-003-6.975897e-003-4.932304e-003-2.691143e-003
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 2.895582e-001 9.388652e-001 6.700090e-001 9.890569e-001
    2  5.240560e-001 6.061282e-001 5.069255e-001 8.405598e-001 8.261558e-002
    3  8.093007e-001 1.958945e-001 8.950980e-001 2.895148e-001 5.192077e-001
    4  9.167102e-001 3.978887e-001 9.124581e-001 8.749417e-001 3.207762e-001
    5  1.497594e-001 3.167617e-001 6.823920e-001 1.464994e-001 2.842877e-001
 
TEST10
  For real fast Fourier transforms, 
  1D, multiple
  RFFTMI initializes the transform,
  RFFTMF does a forward transform;
  RFFTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       41
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  4.329756e-001 4.813754e-001 4.581277e-001 4.386824e-001 4.658699e-001
    2  4.496567e-002 1.210363e-001 2.134641e-002-6.390879e-002 6.988679e-002
    3 -7.051200e-003-3.860677e-002 1.626172e-001-6.370464e-003-5.371577e-002
    4 -2.275003e-002-9.756715e-002-8.987675e-002-7.511894e-002-4.663404e-002
    5  1.020670e-002-7.367036e-002-3.790945e-002-2.663924e-002 7.467189e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197564e-001 6.448870e-001 3.536031e-002 9.076282e-001
    2  5.240561e-001 6.474855e-001 6.159995e-001 3.004917e-001 5.055056e-001
    3  8.093007e-001 2.895582e-001 1.031128e-001 3.629782e-001 3.257647e-002
    4  9.167101e-001 6.061282e-001 1.600161e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110726e-001
 
TEST11
  For real fast sine transforms, 1D,
  SINQ1I initializes the transform,
  SINQ1F does a forward transform;
  SINQ1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  6.364450e-001
         2:  2.059502e-001
         3:  1.281620e-001
         4:  8.166932e-002
         5:  8.499397e-002
         6:  5.128791e-002
         7:  5.646404e-002
         8:  3.412773e-002
  ........  ..............
      4096:  1.702070e-003
 
  The retrieved data:
 
         1:  1.544140e-002
         2:  5.240561e-001
         3:  8.093007e-001
         4:  9.167102e-001
         5:  1.497593e-001
         6:  6.474555e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258277e-001
 
TEST12
  For real fast sine transforms, 1D, multiple
  SINQMI initializes the transform,
  SINQMF does a forward transform;
  SINQMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  5.428283e-001 6.139966e-001 5.412783e-001 5.872421e-001 5.933256e-001
    2  1.665033e-001 1.184914e-001 3.117507e-001 1.941236e-001 1.345627e-001
    3  1.414538e-001 2.252971e-001 2.330005e-001 9.094972e-002 1.468857e-001
    4  1.127655e-001 9.486061e-002 4.808269e-002 6.044733e-002 1.707481e-001
    5  3.993892e-002-4.783202e-002-7.765722e-004-1.361493e-003 4.974616e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544145e-002 8.197564e-001 6.448870e-001 3.536028e-002 9.076280e-001
    2  5.240560e-001 6.474854e-001 6.159993e-001 3.004916e-001 5.055057e-001
    3  8.093005e-001 2.895584e-001 1.031128e-001 3.629781e-001 3.257650e-002
    4  9.167103e-001 6.061282e-001 1.600167e-002 5.735766e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
TEST13
  For real fast sine transforms, 1D,
  SINT1I initializes the transform,
  SINT1F does a forward transform;
  SINT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     6160
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  6.317403e-001
         2: -5.066197e-004
         3:  2.049938e-001
         4:  3.745687e-003
         5:  1.333629e-001
         6: -3.089169e-003
         7:  9.499264e-002
         8: -8.871840e-003
  ........  ..............
      4096:  8.371943e-005
 
  The retrieved data:
 
         1:  1.809035e-002
         2:  5.240801e-001
         3:  8.103785e-001
         4:  9.166436e-001
         5:  1.504108e-001
         6:  6.444123e-003
         7:  8.194957e-001
         8:  4.000176e-001
  ........  ..............
      4096:  6.282941e-001
 
TEST14
  For real fast sine transforms, 1D, multiple
  SINTMI initializes the transform,
  SINTMF does a forward transform;
  SINTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       57
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  5.357711e-001 5.668813e-001 5.875101e-001 5.903182e-001 5.641288e-001
    2 -3.529247e-003-2.711476e-002 1.604908e-001-1.545561e-002-4.384141e-002
    3  2.320186e-001 3.273026e-001 2.372392e-001 1.753052e-001 2.695781e-001
    4  4.551541e-003-8.266398e-002-5.869333e-002-4.268726e-002 6.095848e-002
    5  9.918995e-002 4.960541e-002 6.792098e-002 7.029728e-002 4.640442e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544097e-002 8.197551e-001 6.448851e-001 3.535859e-002 9.076275e-001
    2  5.240562e-001 6.474859e-001 6.160002e-001 3.004925e-001 5.055059e-001
    3  8.093007e-001 2.895580e-001 1.031125e-001 3.629779e-001 3.257638e-002
    4  9.167102e-001 6.061284e-001 1.600214e-002 5.735769e-001 5.117876e-001
    5  1.497595e-001 1.958944e-001 9.388649e-001 1.007436e-001 6.110725e-001
 
fftpack5.1_test():
  Normal end of execution.
 
rc= 0
** dist/hanoi.f
2 disks require 3 moves
3 disks require 7 moves
4 disks require 15 moves
5 disks require 31 moves
6 disks require 63 moves
7 disks require 127 moves
8 disks require 255 moves
9 disks require 511 moves
10 disks require 1023 moves
11 disks require 2047 moves
12 disks require 4095 moves
13 disks require 8191 moves
14 disks require 16383 moves
15 disks require 32767 moves
16 disks require 65535 moves
17 disks require 131071 moves
18 disks require 262143 moves
19 disks require 524287 moves
20 disks require 1048575 moves
21 disks require 2097151 moves
22 disks require 4194303 moves
23 disks require 8388607 moves
24 disks require 16777215 moves
rc= 0
** dist/hello.f
Hello world!
rc= 0
** dist/linpack-benchmark.f
linpack_bench_d
  the linpack benchmark.
  language: fortran77
  datatype: real real*8
  matrix order n =                   1000
  leading matrix dimension lda =     1001
     norm. resid resid machep         x(1)          x(n)
 6.49150133e+000 7.20701276e-013 2.22044605e-016 1.00000000e+000 1.00000000e+000
      factor     solve      total     mflops       unit      ratio
 2.468e-001 1.009e-003 2.478e-001 2.699e+003 7.411e-004 4.425e+000
     norm. resid resid machep         x(1)          x(n)
 6.49150133e+000 7.20701276e-013 2.22044605e-016 1.00000000e+000 1.00000000e+000
      factor     solve      total     mflops       unit      ratio
 2.378e-001 1.004e-003 2.388e-001 2.800e+003 7.144e-004 4.265e+000
     norm. resid resid machep         x(1)          x(n)
 6.49150133e+000 7.20701276e-013 2.22044605e-016 1.00000000e+000 1.00000000e+000
      factor     solve      total     mflops       unit      ratio
 2.283e-001 9.540e-004 2.292e-001 2.917e+003 6.857e-004 4.094e+000
     norm. resid resid machep         x(1)          x(n)
 6.49150133e+000 7.20701276e-013 2.22044605e-016 1.00000000e+000 1.00000000e+000
      factor     solve      total     mflops       unit      ratio
 2.301e-001 1.005e-003 2.311e-001 2.894e+003 6.911e-004 4.126e+000
     norm. resid resid machep         x(1)          x(n)
 6.49150133e+000 7.20701276e-013 2.22044605e-016 1.00000000e+000 1.00000000e+000
      factor     solve      total     mflops       unit      ratio
 2.578e-001 1.119e-003 2.589e-001 2.583e+003 7.743e-004 4.623e+000
     norm. resid resid machep         x(1)          x(n)
 6.49150133e+000 7.20701276e-013 2.22044605e-016 1.00000000e+000 1.00000000e+000
      factor     solve      total     mflops       unit      ratio
 3.369e-001 1.028e-003 3.379e-001 1.979e+003 1.011e-003 6.034e+000
     norm. resid resid machep         x(1)          x(n)
 6.49150133e+000 7.20701276e-013 2.22044605e-016 1.00000000e+000 1.00000000e+000
      factor     solve      total     mflops       unit      ratio
 2.288e-001 9.120e-004 2.298e-001 2.910e+003 6.872e-004 4.103e+000
     norm. resid resid machep         x(1)          x(n)
 6.49150133e+000 7.20701276e-013 2.22044605e-016 1.00000000e+000 1.00000000e+000
      factor     solve      total     mflops       unit      ratio
 2.245e-001 8.790e-004 2.253e-001 2.967e+003 6.740e-004 4.024e+000
     norm. resid resid machep         x(1)          x(n)
 6.49150133e+000 7.20701276e-013 2.22044605e-016 1.00000000e+000 1.00000000e+000
      factor     solve      total     mflops       unit      ratio
 2.335e-001 8.650e-004 2.344e-001 2.853e+003 7.010e-004 4.185e+000
     norm. resid resid machep         x(1)          x(n)
 6.49150133e+000 7.20701276e-013 2.22044605e-016 1.00000000e+000 1.00000000e+000
      factor     solve      total     mflops       unit      ratio
 2.234e-001 8.590e-004 2.242e-001 2.982e+003 6.706e-004 4.004e+000
rc= 0
** dist/mltest.f
Training set: 20x40 matrix
-2.657458e-0021.675178e-0011.143647e-001 ... 1.259325e-0019.397388e-002-2.979284e-002
4.512650e-0021.929071e-0011.812126e-001 ... 2.253408e-0013.030957e-0021.302597e-001
1.717722e-0012.921835e-0014.512136e-001 ... 2.904545e-0012.523157e-0017.400723e-002
1.664912e-0012.875065e-0013.157274e-001 ... 3.220535e-0013.077306e-0019.907097e-002
1.017712e-0014.488836e-0016.590503e-001 ... 5.638632e-0012.921281e-0017.939631e-002
5.962945e-0023.748305e-0015.596589e-001 ... 5.734350e-0013.939564e-0016.100969e-002
2.101751e-0014.314270e-0018.376102e-001 ... 8.178583e-0014.137746e-0011.099317e-001
1.016593e-0014.686808e-0017.339247e-001 ... 7.281036e-0015.026468e-0012.365782e-001
2.305891e-0014.963233e-0011.042974e+000 ... 9.005243e-0015.020893e-0012.728666e-001
1.269543e-0016.008424e-0019.387760e-001 ... 8.984565e-0015.168603e-0012.361258e-001
1.875974e-0017.112658e-0011.083802e+000 ... 1.224086e+0008.018145e-0012.282914e-001
2.697278e-0017.833906e-0011.241274e+000 ... 1.157660e+0006.054406e-0012.392505e-001
2.670638e-0018.603644e-0011.272128e+000 ... 1.440860e+0007.751316e-0012.000845e-001
2.825573e-0017.922018e-0011.342713e+000 ... 1.270540e+0008.031360e-0012.148379e-001
2.346372e-0018.475356e-0011.541975e+000 ... 1.511308e+0008.670648e-0013.388285e-001
3.378798e-0019.380741e-0011.564264e+000 ... 1.487275e+0001.005233e+0003.168931e-001
3.344951e-0019.894558e-0011.799101e+000 ... 1.718100e+0001.154540e+0003.968475e-001
3.694904e-0011.041864e+0001.739128e+000 ... 1.778803e+0001.077487e+0004.413229e-001
4.503542e-0011.239483e+0002.015135e+000 ... 2.030091e+0001.104878e+0003.255224e-001
4.610733e-0011.080046e+0002.049480e+000 ... 1.942844e+0001.232124e+0003.788238e-001
Constituent values: 1x20 matrix
1.000000e+0001.000000e+0002.000000e+000 ... 9.000000e+0001.000000e+0011.000000e+001
rc= 0
** dist/nas.f

                the nas kernel benchmark program


 program        error          fp ops       seconds      mflops

 mxm         8.3203e-001    4.1943e+008      0.4006     1046.97
 cfft2d      2.4041e-001    4.9807e+008      0.5969      834.49
 cholsky     5.2460e+002    2.2103e+008      0.6943      318.33
 btrix       1.9245e+000    3.2197e+008      0.8042      400.37
 gmtry       5.1042e+038    2.2650e+008      1.0275      220.45
 emit        6.6864e-001    2.2604e+008      1.0914      207.11
 vpenta      2.5078e+000    2.5943e+008      1.3301      195.04

 total       5.1042e+038    2.1725e+009      5.9450      365.43


rc= 0
** dist/rand.f
5.000106190840873e-001
rc= 0
** dist/read.f
22
11
11
rc= 0
** dist/real32.f
Test sin
Test asin
Test exp
rc= 0
** dist/roots.f
    1.0000 X*X +   -2.0000 X +   -1.0000
 X0 =   -0.4142 X1 =    2.4142
rc= 0
** dist/sblat1.f
 real blas test program results
 

 test of subprogram number  1             sdot 
                                    ----- pass -----

 test of subprogram number  2            saxpy 
                                    ----- pass -----

 test of subprogram number  3            srotg 
                                    ----- pass -----

 test of subprogram number  4             srot 
                                    ----- pass -----

 test of subprogram number  5            scopy 
                                    ----- pass -----

 test of subprogram number  6            sswap 
                                    ----- pass -----

 test of subprogram number  7            snrm2 
                                    ----- pass -----

 test of subprogram number  8            sasum 
                                    ----- pass -----

 test of subprogram number  9            sscal 
                                    ----- pass -----

 test of subprogram number 10            isamax
                                    ----- pass -----
rc= 0
** dist/sinus.f
                                           *                                    
                                                   *                            
                                                           *                    
                                                                 *              
                                                                       *        
                                                                           *    
                                                                             *  
                                                                              * 
                                                                             *  
                                                                           *    
                                                                       *        
                                                                 *              
                                                           *                    
                                                   *                            
                                           *                                    
                                   *                                            
                           *                                                    
                    *                                                           
             *                                                                  
       *                                                                        
   *                                                                            
 *                                                                              
*                                                                               
 *                                                                              
   *                                                                            
       *                                                                        
             *                                                                  
                   *                                                            
                           *                                                    
                                   *                                            
rc= 0
** dist/slatec.f
 4.1
rc= 0
** dist/snoopy.f
1                                                                                                                                    
1                                                   XXXXXXXXXX                                                                       
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                                            XXX              XX XXX   XXXXXXXXXXX                                                    
                                            XX            XXXXX   XXXX  XXXXX   XXXX                                                 
                                            XX           XX                        XXX                                               
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                                           XX X  XX                                      XX                                          
                                           X XX XXXX                                      XX                                         
                                           X  XX XXXX                       XXXXX         XX                                         
                                           X  XXXXXXX                     XXXXXXXX        XX                                         
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                                           X  XXXXXXXXX                    XXXXXX         XX                                         
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                                           XX XXXXXXXXXX                               XXX                                           
                                            X XXXXXXXX X                               XX                                            
                                            X XXXXXXXX XX                            XXX                                             
                                            X  XXXXXXX XXX          XXXXXXXXXXXXXXXXXXX                                              
                                             X XXXXXXX XXXX        XXXXXX                                                            
                                             X  XXXXXX XXXXX      XX  XXX                                                            
                                              X XXXXXX XX  XX     XX  XXX                                                            
                                              XX XXXXX XX   XX    XX  XXX                                                            
                                                X  XX  X     XXXXXXXX                                                                
                                                 XX   XX    XXXXXXXXXX                                                               
                                                  XXXXX      XX      XX                                                              
                                                    X       XX        X                                                              
                                                        XXXX    XXXXXXXXXX                                                           
                                                       XXX   XXXXXX   XXXXXX                                                         
                                                      XX                XXX X                                                        
                                    XXXXXXXXXXXXXXXXXXX                  XXXXXXXXXXXXXXXXXXXXXXXX                                    
                                   X                 XXXX   XXXXXXXX    XXX                      X                                   
                                  X                   XXXXXXX     XXX  XXX                        X                                  
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                                X                                                                   X                                
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                               X                                                    XXXXXXXXXXXXXX   X                               
                               X                                                    X            X   X                               
                               X  XXXX  XXXXX XXXXX XXXXX XXXXX XXXX    XXX  XXXXX  X XXX  X   X X   X                               
                               X  X   X X   X X       X   X   X X   X    X   X      X  X   XX  X X   X                               
                               X  X   X X   X X       X   X   X XXXX     X   XXXXX  X  X   X X X X   X                               
                               X  X   X X   X X       X   X   X X X      X       X  X  X   X  XX X   X                               
                               X  XXXX  XXXXX XXXXX   X   XXXXX X  X    XXX  XXXXX  X XXX  X   X X   X                               
                               X                                                    X            X   X                               
                               X                                                    XXXXXXXXXXXXXX   X                               
                               X                                                                     X                               
                               X                                                                     X                               
                               X                                                                     X                               
1                                  JJJJJJJ   AAAAA   N     N  U     U   AAAAA   RRRRRR   Y     Y                                    
        999                           J     A     A  NN    N  U     U  A     A  R     R   Y   Y                           666       
       9   9                          J     A     A  N N   N  U     U  A     A  R     R    Y Y                           6          
   1    9999                          J     AAAAAAA  N  N  N  U     U  AAAAAAA  RRRRRR      Y                            6666   999 
  11       9                          J     A     A  N   N N  U     U  A     A  R   R       Y                            6   6 9   9
   1    999                        J  J     A     A  N    NN  U     U  A     A  R    R      Y                             666   9999
   1                                JJ      A     A  N     N   UUUUU   A     A  R     R     Y                                      9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I           1     I          222    I         33333   I            4       
                     I                 I                 I          11     I         2   2   I             3   I           44       
                     I                 I                 I           1     I            2    I           33    I          4 4       
                     I                 I                 I           1     I          2      I         3   3   I         44444      
                     I                 I                 I         11111   I         22222   I          333    I            4       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
             55555   I          666    I         77777   I          888    I          999    I    1     000    I    1      1        
             5       I         6       I             7   I         8   8   I         9   9   I   11    0   0   I   11     11        
             5555    I         6666    I            7    I          888    I          9999   I    1    0   0   I    1      1        
                 5   I         6   6   I           7     I         8   8   I             9   I    1    0   0   I    1      1        
             5555    I          666    I           7     I          888    I          999    I  11111   000    I  11111  11111      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     222    I    1    33333   I    1       4    I    1    55555   I    1     666    I    1    77777   I    1     888       
       11    2   2   I   11        3   I   11      44    I   11    5       I   11    6       I   11        7   I   11    8   8      
        1       2    I    1      33    I    1     4 4    I    1    5555    I    1    6666    I    1       7    I    1     888       
        1     2      I    1    3   3   I    1    44444   I    1        5   I    1    6   6   I    1      7     I    1    8   8      
      11111  22222   I  11111   333    I  11111     4    I  11111  5555    I  11111   666    I  11111    7     I  11111   888       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     999    I   222    000    I   222     1     I   222    222    I   222   33333   I   222      4    I   222   55555      
       11    9   9   I  2   2  0   0   I  2   2   11     I  2   2  2   2   I  2   2      3   I  2   2    44    I  2   2  5          
        1     9999   I     2   0   0   I     2     1     I     2      2    I     2     33    I     2    4 4    I     2   5555       
        1        9   I   2     0   0   I   2       1     I   2      2      I   2     3   3   I   2     44444   I   2         5      
      11111   999    I  22222   000    I  22222  11111   I  22222  22222   I  22222   333    I  22222     4    I  22222  5555       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222    666    I   222   77777   I   222    888    I   222    999    I  33333   000    I  33333    1     I                    
      2   2  6       I  2   2      7   I  2   2  8   8   I  2   2  9   9   I      3  0   0   I      3   11     I                    
         2   6666    I     2      7    I     2    888    I     2    9999   I    33   0   0   I    33     1     I                    
       2     6   6   I   2       7     I   2     8   8   I   2         9   I  3   3  0   0   I  3   3    1     I                    
      22222   666    I  22222    7     I  22222   888    I  22222   999    I   333    000    I   333   11111   I                    
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
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                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                    X X XXXXXXXXX                                                                   
                                                   XXXXX          OO                                                                 
                                                  XXXX X    //      OO                                                               
                                                 XX X     //         OO                                                              
                                                XXXX     //           OO                                                             
                                                XX      //            OO                                                             
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                                              $$$                       OO                                                           
                                             $$$ $         ****   ****  OO                                                           
                                             $$$ $         *****  *****  O                                                           
                                             $$$ $         *****  *****  OO                                                          
                                            $$$$$$         *****  *****   OOOOO                                                      
                                            $$$ $$         ****    ****        OOO                                                   
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                                                       OO          OO                                                                
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                                                   OOO      O       OO                                                               
                                                  OOO       O       OOO                                                              
                                                 OOO  O     O        OO                                                              
                                                OOO  O     OO        OO                                                              
                                               OOO   O     OO        OO                                                              
                                              OO OOO O     OO        OO                                                              
                                             OOOO  OOO     OO        OO                                                              
                                            OOO     OO     OO       OO                                                               
                                            OOO     OO     OO       OOO                                                              
                                           OO       O      OOO     OO OOOO                                                           
                                           OO       O    OOOOOOOO OOOOOOOOOOOOOO                                                     
                                      IIIIIIOOO     O       O   OOOOOOO         OO                                                   
                                  IIII IIIIIIOO     O                 OOO        OO                                                  
                                III           OOOOOOO            OOOO    OO   O   OO          ------                                 
                                IIIIIII   II        O               OOO   OO   OO  O   --------                                      
                                     III   III      O          O      OO   O    O  O                                                 
                                       IIIIII IIII  OO         OO      OO  OOO  O OO          ------                                 
                                                 ----OOOOOOOOOOOOO     O OO OOOOOOO  ----------                                      
                                     ---------                 OOOOOOOO OO                                                           
                                                                                                                                     
                                                 LOVE IS A WET PUPPY DOG                                                             
1                              FFFFFFF  EEEEEEE  BBBBBB   RRRRRR   U     U   AAAAA   RRRRRR   Y     Y                               
        999                    F        E        B     B  R     R  U     U  A     A  R     R   Y   Y                      666       
       9   9                   F        E        B     B  R     R  U     U  A     A  R     R    Y Y                      6          
   1    9999                   FFFFF    EEEEE    BBBBBB   RRRRRR   U     U  AAAAAAA  RRRRRR      Y                       6666   999 
  11       9                   F        E        B     B  R   R    U     U  A     A  R   R       Y                       6   6 9   9
   1    999                    F        E        B     B  R    R   U     U  A     A  R    R      Y                        666   9999
   1                           F        EEEEEEE  BBBBBB   R     R   UUUUU   A     A  R     R     Y                                 9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I          11        
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I         11111      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              222    I         33333   I            4    I         55555   I          666    I         77777   I          888       
             2   2   I             3   I           44    I         5       I         6       I             7   I         8   8      
                2    I           33    I          4 4    I         5555    I         6666    I            7    I          888       
              2      I         3   3   I         44444   I             5   I         6   6   I           7     I         8   8      
             22222   I          333    I            4    I         5555    I          666    I           7     I          888       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              999    I    1     000    I    1      1     I    1     222    I    1    33333   I    1       4    I    1    55555      
             9   9   I   11    0   0   I   11     11     I   11    2   2   I   11        3   I   11      44    I   11    5          
              9999   I    1    0   0   I    1      1     I    1       2    I    1      33    I    1     4 4    I    1    5555       
                 9   I    1    0   0   I    1      1     I    1     2      I    1    3   3   I    1    44444   I    1        5      
              999    I  11111   000    I  11111  11111   I  11111  22222   I  11111   333    I  11111     4    I  11111  5555       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     666    I    1    77777   I    1     888    I    1     999    I   222    000    I   222     1     I   222    222       
       11    6       I   11        7   I   11    8   8   I   11    9   9   I  2   2  0   0   I  2   2   11     I  2   2  2   2      
        1    6666    I    1       7    I    1     888    I    1     9999   I     2   0   0   I     2     1     I     2      2       
        1    6   6   I    1      7     I    1    8   8   I    1        9   I   2     0   0   I   2       1     I   2      2         
      11111   666    I  11111    7     I  11111   888    I  11111   999    I  22222   000    I  22222  11111   I  22222  22222      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222   33333   I   222      4    I   222   55555   I   222    666    I   222   77777   I   222    888    I                    
      2   2      3   I  2   2    44    I  2   2  5       I  2   2  6       I  2   2      7   I  2   2  8   8   I                    
         2     33    I     2    4 4    I     2   5555    I     2   6666    I     2      7    I     2    888    I                    
       2     3   3   I   2     44444   I   2         5   I   2     6   6   I   2       7     I   2     8   8   I                    
      22222   333    I  22222     4    I  22222  5555    I  22222   666    I  22222    7     I  22222   888    I                    
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
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 -----------------------------------------------------------------------------------------------------------------------------------
1                                                                                                                                    
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                                                                 S I G H  . . .                                                      
1                                           M     M   AAAAA   RRRRRR    CCCCC   H     H                                             
        999                                 MM   MM  A     A  R     R  C     C  H     H                                   666       
       9   9                                M M M M  A     A  R     R  C        H     H                                  6          
   1    9999                                M  M  M  AAAAAAA  RRRRRR   C        HHHHHHH                                  6666   999 
  11       9                                M     M  A     A  R   R    C        H     H                                  6   6 9   9
   1    999                                 M     M  A     A  R    R   C     C  H     H                                   666   9999
   1                                        M     M  A     A  R     R   CCCCC   H     H                                            9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I          11        
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I         11111      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              222    I         33333   I            4    I         55555   I          666    I         77777   I          888       
             2   2   I             3   I           44    I         5       I         6       I             7   I         8   8      
                2    I           33    I          4 4    I         5555    I         6666    I            7    I          888       
              2      I         3   3   I         44444   I             5   I         6   6   I           7     I         8   8      
             22222   I          333    I            4    I         5555    I          666    I           7     I          888       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              999    I    1     000    I    1      1     I    1     222    I    1    33333   I    1       4    I    1    55555      
             9   9   I   11    0   0   I   11     11     I   11    2   2   I   11        3   I   11      44    I   11    5          
              9999   I    1    0   0   I    1      1     I    1       2    I    1      33    I    1     4 4    I    1    5555       
                 9   I    1    0   0   I    1      1     I    1     2      I    1    3   3   I    1    44444   I    1        5      
              999    I  11111   000    I  11111  11111   I  11111  22222   I  11111   333    I  11111     4    I  11111  5555       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     666    I    1    77777   I    1     888    I    1     999    I   222    000    I   222     1     I   222    222       
       11    6       I   11        7   I   11    8   8   I   11    9   9   I  2   2  0   0   I  2   2   11     I  2   2  2   2      
        1    6666    I    1       7    I    1     888    I    1     9999   I     2   0   0   I     2     1     I     2      2       
        1    6   6   I    1      7     I    1    8   8   I    1        9   I   2     0   0   I   2       1     I   2      2         
      11111   666    I  11111    7     I  11111   888    I  11111   999    I  22222   000    I  22222  11111   I  22222  22222      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222   33333   I   222      4    I   222   55555   I   222    666    I   222   77777   I   222    888    I   222    999       
      2   2      3   I  2   2    44    I  2   2  5       I  2   2  6       I  2   2      7   I  2   2  8   8   I  2   2  9   9      
         2     33    I     2    4 4    I     2   5555    I     2   6666    I     2      7    I     2    888    I     2    9999      
       2     3   3   I   2     44444   I   2         5   I   2     6   6   I   2       7     I   2     8   8   I   2         9      
      22222   333    I  22222     4    I  22222  5555    I  22222   666    I  22222    7     I  22222   888    I  22222   999       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
      33333   000    I  33333    1     I                 I                 I                 I                 I                    
          3  0   0   I      3   11     I                 I                 I                 I                 I                    
        33   0   0   I    33     1     I                 I                 I                 I                 I                    
      3   3  0   0   I  3   3    1     I                 I                 I                 I                 I                    
       333    000    I   333   11111   I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                                                                                                    
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                                                                                                    
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                               $$$$$$$                                                              
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                           $$$$$$$$$$$$$$$                                                          
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                         $$$$$$$$$$$$$$$$$$                                                         
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                         $$$$$$$$$$$$$$$$$$                                                         
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                   $$$$                    $$$$$$$$$$$$$$$                                                          
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                 $$$$ $$                            $$$$$                                                           
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                              $$$$$$ $$$                          $$$$$$                                                            
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                             $$$$$$ $$$                        $$$$$$$$                                                             
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                           $$$$$$$ $$$              $$$$$$   $$$$$$       $$$$$$$$$$$$$                                             
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO            OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                          $$$$$$$$$$$           $$$$$$$$$$$$$$$$        $$            $$$$                                          
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO            OOOOOOOOOO                 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                         $$$$$$$$$$$           $$             $$$$$$$$$$                 $$                                         
 OOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOO        OO                                 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                       $$$ $$$$$$$$          $$        $$                                 $$                                        
 OOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOO        OO                                   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                      $$$ $$$$$$$$          $$        $$                                   $$                                       
 OOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOO        OO                     OOOOOOOOO       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                     $$$$ $$$$$$           $$        $$                     $$$$$$$$$       $$                                      
 OOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOO                               OOOOOOOOOOOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                    $$$$ $$$$$$          $$$                               $$$$$$$$$$$$      $$                                     
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                OO            OOOOOOOOOOOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                    $$$$$$$$$$$$$$$$$$$$$$$$$                $$            $$$$$$$$$$$$      $$                                     
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                OO                              OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                    $$$$$$$$$$$$$$$$$$$$$$$$$                $$                              $$                                     
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                 OO                     OO     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                     $$$$$$$$$$$$$$$$$$$$$$$$                 $$                     $$     $$                                      
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                  OO                   OO     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                       $$$$$$$$$$$$$$$    $$$                  $$                   $$     $$                                       
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                    OO              OOO    OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                           $$                    $$              $$$    $$$                                         
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                    OO    OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                            $$                    $$    $$$$$$$$$$$$$$$$                                            
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                              $$$$                 $$$$$$$                                                          
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO              OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                 $$$$$              $$$              $$$$                                           
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          OOOOOOOOOOOOOOOOOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                     $$$$$          $$              $$  $   $$$                                     
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO        OOOOOOOOOOOOOOOOOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                          $$        $$              $$  $$$$$$$$$                                   
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO       OOOOOOOOOOOOOOOOOO  O       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                           $$       $$              $$  $       $$$                                 
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO           OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                             $$$$$$$$$$           $$           $$$$                                 
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO              OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                $$$$         $$$$$$$$$$$$      $$$              $$$                                 
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO    OOOOOOOOOOOOOOOOOOOOOOOOOOOO       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                              $$    $       $$$$$$$$$$$$$    $$$       $$$$$$$$$$$$                                 
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO     OOOOOOOOOOOOOO      OOOOOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                             $$     $        $$$$$      $$$$$$      $$$$    $$$$$                                   
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO    OOOOOOOOOOOOOO        O       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                              $$    $$           $        $       $$$                                               
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  OOOOOOOOOOOOOO            OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                $$  $$$$$$$$$$$$$$            $$$$                                                  
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                              OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                             $$$$                              $$                                                   
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                                   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                           $$                                   $$                                                  
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO        OOOOOOOOOOOOOO              OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                          $$$        $$$$$$$$$$$$$$              $$                                                 
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO      OOOOOOOOOOOOOO               OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                          $$$$$      $$          $$               $$                                                
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO   O   OOOOOOOOOOOOOO                OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                           $$$   $   $           $$                $$                                               
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  OOOOOOOOOOOOOOOOOO                 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                             $$  $$$$$           $$                 $$                                              
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                               $$$$$            $$                   $$                                             
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO       OOOOOOO     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                                $$       $$$$$$$     $$$                                            
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO     OOOO    OO     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                         $$$    $$     $$$$    $$     $$                                            
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO   OO        OO     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                       $$$$    $$$   $$        $$     $$                                            
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OOO         OO     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                      $$$     $$$$ $$$         $$     $$                                            
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OOOOOOOOOOOOO           O      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                     $ $$     $$$$$$           $      $$$$$$$                                       
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  OOOOOOOOOOO            OO    OOO    OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                    $  $     $$$$$            $$    $$$    $$$                                      
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  OOOOOOOOOOO            OO  OOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                   $  $$     $$$$            $$  $$$      $$$                                       
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  OOOOOOOOOOO           OOOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                 $$$  $$     $$$$           $$$$      $$$$                                          
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO   OOOOOOOOOO          OOOOO   OOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                $$$   $$     $$$          $$$$$   $$$ $$$                                           
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO OO   OOOOOOOOOO         OOO       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                               $ $$   $$     $$$         $$$       $$$$$                                            
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  O   OOOOOOOOOO       OOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                               $  $   $$     $$$       $$$      $$$$$$$$$$$$                                        
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  O    OOOOOOOOOO   OOO      OOOOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                              $$  $    $$$$$$$$$$   $$$      $$$$$      $$$                                         
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  O      OOOOOOOO  OOOOOOOOOOOOO    OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                              $$  $      $$$$$$$$  $$$$$$$$$$$$$    $$$$$                                           
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  OOOOOOOOOOOOO     OOOOOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                              $$  $$$$$$$$$$$$$     $$$$$$      $$$$$$$$$                                           
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO       OOOOOOOOOOOOOO     OOOOOOO       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                               $$       $$$$$$$$$$$$$$     $$$$$$$       $$$$$                                      
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                $$$$$$$$$$$$$$$$$$$$$$$$$$$$                $$$                                     
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                      $$$$    $$$          $$$$$$$$$$$$$$$$$$$$$                                    
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO       O       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                               $$$$$$$$$$       $$$$$$       $       $$$$$                                          
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO    OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                $$$$$$$$             $$$$$$$$$$$$    $$$$$$                                         
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
+                                                                               $$$$$$$$$$$                                          
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
1                                            AAAAA   PPPPPP   RRRRRR   IIIIIII  L                                                   
        999                                 A     A  P     P  R     R     I     L                                         666       
       9   9                                A     A  P     P  R     R     I     L                                        6          
   1    9999                                AAAAAAA  PPPPPP   RRRRRR      I     L                                        6666   999 
  11       9                                A     A  P        R   R       I     L                                        6   6 9   9
   1    999                                 A     A  P        R    R      I     L                                         666   9999
   1                                        A     A  P        R     R  IIIIIII  LLLLLLL                                            9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I           1     I          222    I         33333   I            4    I         55555      
                     I                 I          11     I         2   2   I             3   I           44    I         5          
                     I                 I           1     I            2    I           33    I          4 4    I         5555       
                     I                 I           1     I          2      I         3   3   I         44444   I             5      
                     I                 I         11111   I         22222   I          333    I            4    I         5555       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              666    I         77777   I          888    I          999    I    1     000    I    1      1     I    1     222       
             6       I             7   I         8   8   I         9   9   I   11    0   0   I   11     11     I   11    2   2      
             6666    I            7    I          888    I          9999   I    1    0   0   I    1      1     I    1       2       
             6   6   I           7     I         8   8   I             9   I    1    0   0   I    1      1     I    1     2         
              666    I           7     I          888    I          999    I  11111   000    I  11111  11111   I  11111  22222      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1    33333   I    1       4    I    1    55555   I    1     666    I    1    77777   I    1     888    I    1     999       
       11        3   I   11      44    I   11    5       I   11    6       I   11        7   I   11    8   8   I   11    9   9      
        1      33    I    1     4 4    I    1    5555    I    1    6666    I    1       7    I    1     888    I    1     9999      
        1    3   3   I    1    44444   I    1        5   I    1    6   6   I    1      7     I    1    8   8   I    1        9      
      11111   333    I  11111     4    I  11111  5555    I  11111   666    I  11111    7     I  11111   888    I  11111   999       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222    000    I   222     1     I   222    222    I   222   33333   I   222      4    I   222   55555   I   222    666       
      2   2  0   0   I  2   2   11     I  2   2  2   2   I  2   2      3   I  2   2    44    I  2   2  5       I  2   2  6          
         2   0   0   I     2     1     I     2      2    I     2     33    I     2    4 4    I     2   5555    I     2   6666       
       2     0   0   I   2       1     I   2      2      I   2     3   3   I   2     44444   I   2         5   I   2     6   6      
      22222   000    I  22222  11111   I  22222  22222   I  22222   333    I  22222     4    I  22222  5555    I  22222   666       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222   77777   I   222    888    I   222    999    I  33333   000    I                 I                 I                    
      2   2      7   I  2   2  8   8   I  2   2  9   9   I      3  0   0   I                 I                 I                    
         2      7    I     2    888    I     2    9999   I    33   0   0   I                 I                 I                    
       2       7     I   2     8   8   I   2         9   I  3   3  0   0   I                 I                 I                    
      22222    7     I  22222   888    I  22222   999    I   333    000    I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                        ********************                                                        
+                                                        QQQQQQQQQQQQQQQQQQQQ                                                        
                                                      ***                    ***                                                     
+                                                     QQQ                    QQQ                                                     
                                                    **                          **                                                   
+                                                   QQ                          QQ                                                   
                                                  **          **********         *                                                   
+                                                 QQ          QQQQQQQQQQ         Q                                                   
                                                 *                      *         **                                                 
+                                                Q                      Q         QQ                                                 
                                                *                       *           *                                                
+                                               Q                       Q           Q                                                
                                              **        *   **        **             *                                               
+                                             QQ        Q   QQ        QQ             Q                                               
                                              *          *************                **                                             
+                                             Q          QQQQQQQQQQQQQ                QQ                                             
                                             *                                         *                                             
+                                            Q                                         Q                                             
                                             *                                          *                                            
+                                            Q                                          Q                                            
                                             *            ***   ****  ***               *                                            
+                                            Q            QQQ   QQQQ  QQQ               Q                                            
                                             *            ***       * ***               *                                            
+                                            Q            QQQ       Q QQQ               Q                                            
                                             *                      *                   *                                            
+                                            Q                      Q                   Q                                            
                                             *                ******                    **                                           
+                                            Q                QQQQQQ                    QQ                                           
                                           ***                                          * **                                         
+                                          QQQ                                          Q QQ                                         
                                           *                                 *          * **                                         
+                                          Q                                 Q          Q QQ                                         
                                           *                                 ***        * **                                         
+                                          Q                                 QQQ        Q QQ                                         
                                           *          ***                   *          ***                                           
+                                          Q          QQQ                   Q          QQQ                                           
                                            ****         *                **           *                                             
+                                           QQQQ         Q                QQ           Q                                             
                                                *         ****************            *                                              
+                                               Q         QQQQQQQQQQQQQQQQ            Q                                              
                                                 *                                   *                                               
+                                                Q                                   Q                                               
                                                  **                                *                                                
+                                                 QQ                                Q                                                
                                                    *                             **                                                 
+                                                   Q                             QQ                                                 
                                                     ***                        **                                                   
+                                                    QQQ                        QQ                                                   
                                                        **                  ****                                                     
+                                                       QQ                  QQQQ                                                     
                                                          ******************                                                         
+                                                         QQQQQQQQQQQQQQQQQQ                                                         
                                                          ****************                                                           
+                                                         QQQQQQQQQQQQQQQQ                                                           
                                            ****          ***            ***              ****  **                                   
+                                           QQQQ          QQQ            QQQ              QQQQ  QQ                                   
                                       *****  **         *   *          *   *            *    ** ***                                 
+                                      QQQQQ  QQ         Q   Q          Q   Q            Q    QQ QQQ                                 
                                       **  *  ****      *     **********     *           *    ** ***                                 
+                                      QQ  Q  QQQQ      Q     QQQQQQQQQQ     Q           Q    QQ QQQ                                 
                                         ***  **  ******                      ************   *   ****                                
+                                        QQQ  QQ  QQQQQQ                      QQQQQQQQQQQQ   Q   QQQQ                                
                                       *****    *   *                                 **    *       *                                
+                                      QQQQQ    Q   Q                                 QQ    Q       Q                                
                                     **  **     ******************************************       *                                   
+                                    QQ  QQ     QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ       Q                                   
                                     *******        *                           *     **         ***                                 
+                                    QQQQQQQ        Q                           Q     QQ         QQQ                                 
                                        ****        *                            *    **     *** *                                   
+                                       QQQQ        Q                            Q    QQ     QQQ Q                                   
                                           ***      *                             **    *    *  **                                   
+                                          QQQ      Q                             QQ    Q    Q  QQ                                   
                                           * *    **  **                          **     *  **                                       
+                                          Q Q    QQ  QQ                          QQ     Q  QQ                                       
                                           *  ********                            **     ***                                         
+                                          Q  QQQQQQQQ                            QQ     QQQ                                         
                                           *        *       *       *         **  *******                                            
+                                          Q        Q       Q       Q         QQ  QQQQQQQ                                            
                                           *        **     ****    ****      **** ****                                               
+                                          Q        QQ     QQQQ    QQQQ      QQQQ QQQQ                                               
                                           *        ****  ******  ******    **********                                               
+                                          Q        QQQQ  QQQQQQ  QQQQQQ    QQQQQQQQQQ                                               
                                           *        ***** ******* ******* *************                                              
+                                          Q        QQQQQ QQQQQQQ QQQQQQQ QQQQQQQQQQQQQ                                              
                                           *        ***********************************                                              
+                                          Q        QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ                                              
                                           *        * ******* ******* *******   *******                                              
+                                          Q        Q QQQQQQQ QQQQQQQ QQQQQQQ   QQQQQQQ                                              
                                        ******      *   ****    ****    ****     **** *                                              
+                                       QQQQQQ      Q   QQQQ    QQQQ    QQQQ     QQQQ Q                                              
                                      **      **    *    *       *       *        **  *                                              
+                                     QQ      QQ    Q    Q       Q       Q        QQ  Q                                              
                                     *          *   *                                 *                                              
+                                    Q          Q   Q                                 Q                                              
                                    **************  *                                 *                                              
+                                   QQQQQQQQQQQQQQ  Q                                 Q                                              
                                    *            *  ***********************************                                              
+                                   Q            Q  QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ                                              
                                    **************  ***********************************                                              
+                                   QQQQQQQQQQQQQQ  QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ                                              
                                    **************  ***********************************                                              
+                                   QQQQQQQQQQQQQQ  QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ                                              
                                     *          *   ***********************************                                              
+                                    Q          Q   QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ                                              
                                      **      **         *   *****************   *                                                   
+                                     QQ      QQ         Q   QQQQQQQQQQQQQQQQQ   Q                                                   
                                        ******           *        **    *        *                                                   
+                                       QQQQQQ           Q        QQ    Q        Q                                                   
                                                         *   *******  ************                                                   
+                                                        Q   QQQQQQQ  QQQQQQQQQQQQ                                                   
                                                         *********** *********************                                           
+                                                        QQQQQQQQQQQ QQQQQQQQQQQQQQQQQQQQQ                                           
                                                      ***********   *****************     ***                                        
+                                                     QQQQQQQQQQQ   QQQQQQQQQQQQQQQQQ     QQQ                                        
                                                     *                       *              *                                        
+                                                    Q                       Q              Q                                        
                                                    *                       *****************                                        
+                                                   Q                       QQQQQQQQQQQQQQQQQ                                        
                                                     ***********************                                                         
+                                                    QQQQQQQQQQQQQQQQQQQQQQQ                                                         
1                                                    M     M   AAAAA   Y     Y                                                      
        999                                          MM   MM  A     A   Y   Y                                             666       
       9   9                                         M M M M  A     A    Y Y                                             6          
   1    9999                                         M  M  M  AAAAAAA     Y                                              6666   999 
  11       9                                         M     M  A     A     Y                                              6   6 9   9
   1    999                                          M     M  A     A     Y                                               666   9999
   1                                                 M     M  A     A     Y                                                        9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I           1     I          222    I         33333      
                     I                 I                 I                 I          11     I         2   2   I             3      
                     I                 I                 I                 I           1     I            2    I           33       
                     I                 I                 I                 I           1     I          2      I         3   3      
                     I                 I                 I                 I         11111   I         22222   I          333       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                4    I         55555   I          666    I         77777   I          888    I          999    I    1     000       
               44    I         5       I         6       I             7   I         8   8   I         9   9   I   11    0   0      
              4 4    I         5555    I         6666    I            7    I          888    I          9999   I    1    0   0      
             44444   I             5   I         6   6   I           7     I         8   8   I             9   I    1    0   0      
                4    I         5555    I          666    I           7     I          888    I          999    I  11111   000       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1      1     I    1     222    I    1    33333   I    1       4    I    1    55555   I    1     666    I    1    77777      
       11     11     I   11    2   2   I   11        3   I   11      44    I   11    5       I   11    6       I   11        7      
        1      1     I    1       2    I    1      33    I    1     4 4    I    1    5555    I    1    6666    I    1       7       
        1      1     I    1     2      I    1    3   3   I    1    44444   I    1        5   I    1    6   6   I    1      7        
      11111  11111   I  11111  22222   I  11111   333    I  11111     4    I  11111  5555    I  11111   666    I  11111    7        
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     888    I    1     999    I   222    000    I   222     1     I   222    222    I   222   33333   I   222      4       
       11    8   8   I   11    9   9   I  2   2  0   0   I  2   2   11     I  2   2  2   2   I  2   2      3   I  2   2    44       
        1     888    I    1     9999   I     2   0   0   I     2     1     I     2      2    I     2     33    I     2    4 4       
        1    8   8   I    1        9   I   2     0   0   I   2       1     I   2      2      I   2     3   3   I   2     44444      
      11111   888    I  11111   999    I  22222   000    I  22222  11111   I  22222  22222   I  22222   333    I  22222     4       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222   55555   I   222    666    I   222   77777   I   222    888    I   222    999    I  33333   000    I  33333    1        
      2   2  5       I  2   2  6       I  2   2      7   I  2   2  8   8   I  2   2  9   9   I      3  0   0   I      3   11        
         2   5555    I     2   6666    I     2      7    I     2    888    I     2    9999   I    33   0   0   I    33     1        
       2         5   I   2     6   6   I   2       7     I   2     8   8   I   2         9   I  3   3  0   0   I  3   3    1        
      22222  5555    I  22222   666    I  22222    7     I  22222   888    I  22222   999    I   333    000    I   333   11111      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                    ***                                                                             
                                                   ******                                                                            
                                                 *        *                                                                          
                                                *          *                                                                         
                                                *          *       *****                                                             
                                               *           *    *        *                                                           
                                               *          *    *          *      ****                                                
                                               *          **  *            *   **  * *                                               
                                              * OO      *  &&         *   **        *                                                
                                             *        *     &&              *   **   *                                               
                                            *               &&               *** *****                                               
                                            *               &&  *********            *                                               
                                            *               &&           *           *                                               
                                              **  ***       &&*******     ******     *                                               
                                    XXXXXXXXXXXX**&&&*******&&XXXXXXX*  **XXXXXX*****XXXXXXXXXXXXXXXX                                
                                    X            &&&&&                **                            X                                
                                    X            &&&&&                                              X                                
                                    X            &&&&&                                              X                                
                                    X           &&&&&&                                              X                                
                                    X           &&&&&&                                              X                                
                                   XXXXXXXXXXXXX&&&&&&XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                               
                                   X           &&&&&&&                                               X                               
                                   X           &&&&&&&                                               X                               
                                   X            &&&&&&                                               X                               
                                   X             &&&&                                                X                               
                                   X              &&                                                 X                               
                                   X                                                                 X                               
                                  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                              
                                  X                                                                   X                              
                                  X                                                                   X                              
                                  X                                                                   X                              
                                  X                                                                   X                              
                                  X                                                                   X                              
                                  X                                                                   X                              
                                  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                              
                                   X                                                                 X                               
                                   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                               
                                           X                                               X                                         
                                           X                                               X                                         
                                           XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                         
                                           X                                               X                                         
                                           X                                               X                                         
                                           X                                               X                                         
                                           X                                               X                                         
                                           X                                               X                                         
                                           XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                         
                                           X                                               X                                         
                                           X                                               X                                         
                                           X                                               X                                         
                                           X                                               X                                         
                                           X                                               X                                         
                                           XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                         
                                           X                                               X                                         
                                           XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                         
1                                                JJJJJJJ  U     U  N     N  EEEEEEE                                                 
        999                                         J     U     U  NN    N  E                                             666       
       9   9                                        J     U     U  N N   N  E                                            6          
   1    9999                                        J     U     U  N  N  N  EEEEE                                        6666   999 
  11       9                                        J     U     U  N   N N  E                                            6   6 9   9
   1    999                                      J  J     U     U  N    NN  E                                             666   9999
   1                                              JJ       UUUUU   N     N  EEEEEEE                                                9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
               1     I          222    I         33333   I            4    I         55555   I          666    I         77777      
              11     I         2   2   I             3   I           44    I         5       I         6       I             7      
               1     I            2    I           33    I          4 4    I         5555    I         6666    I            7       
               1     I          2      I         3   3   I         44444   I             5   I         6   6   I           7        
             11111   I         22222   I          333    I            4    I         5555    I          666    I           7        
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              888    I          999    I    1     000    I    1      1     I    1     222    I    1    33333   I    1       4       
             8   8   I         9   9   I   11    0   0   I   11     11     I   11    2   2   I   11        3   I   11      44       
              888    I          9999   I    1    0   0   I    1      1     I    1       2    I    1      33    I    1     4 4       
             8   8   I             9   I    1    0   0   I    1      1     I    1     2      I    1    3   3   I    1    44444      
              888    I          999    I  11111   000    I  11111  11111   I  11111  22222   I  11111   333    I  11111     4       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1    55555   I    1     666    I    1    77777   I    1     888    I    1     999    I   222    000    I   222     1        
       11    5       I   11    6       I   11        7   I   11    8   8   I   11    9   9   I  2   2  0   0   I  2   2   11        
        1    5555    I    1    6666    I    1       7    I    1     888    I    1     9999   I     2   0   0   I     2     1        
        1        5   I    1    6   6   I    1      7     I    1    8   8   I    1        9   I   2     0   0   I   2       1        
      11111  5555    I  11111   666    I  11111    7     I  11111   888    I  11111   999    I  22222   000    I  22222  11111      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222    222    I   222   33333   I   222      4    I   222   55555   I   222    666    I   222   77777   I   222    888       
      2   2  2   2   I  2   2      3   I  2   2    44    I  2   2  5       I  2   2  6       I  2   2      7   I  2   2  8   8      
         2      2    I     2     33    I     2    4 4    I     2   5555    I     2   6666    I     2      7    I     2    888       
       2      2      I   2     3   3   I   2     44444   I   2         5   I   2     6   6   I   2       7     I   2     8   8      
      22222  22222   I  22222   333    I  22222     4    I  22222  5555    I  22222   666    I  22222    7     I  22222   888       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222    999    I  33333   000    I                 I                 I                 I                 I                    
      2   2  9   9   I      3  0   0   I                 I                 I                 I                 I                    
         2    9999   I    33   0   0   I                 I                 I                 I                 I                    
       2         9   I  3   3  0   0   I                 I                 I                 I                 I                    
      22222   999    I   333    000    I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                                                         ***********                                
                                                                                       *******************                           
                                                                                    ****    **   **  **  ****                        
                                                                                 ***         ************** ***                      
                            ****                                               ***                       **   ***                    
                           **                                               ***                            **** ***                  
                          **                                                ***                              **   **                 
                   ****   *                 ************                    **                                 *** **                
                ************              ****       ******                 **   ***                                **               
              *****        **** **     ****               ***               ***   *****                              **              
            ***              ************                    *** ***         ***      ****                           ***             
           ***                  **                            *******         **         ****                         **             
          **                    **                            ***  ***         **           *****                     ***            
         **                     **                             *******         ***              *****                  **            
         *                       **                            *******          ***                 *****              **            
        *                                                     ******             ***                   ******          **            
        *                                                     **                   ***                      *******    **            
       ***                    ******                        ***                     ****                          ***  **            
       ***                  *************                *****                        ****                            **             
       *****                **        *********************                             ****                        ***              
       *******              **                *********                                    ******                ****                
       ********             **                                                                *******       ******                   
      ***********           ***                                                                     **********                       
      ************           **                                                                                                      
      **************         ***                                                                                                     
      ***************          ***                                                                                                   
      ***************           *****        ******                                                                                  
       ***************             ************  **                                                                                  
       ****************                        ***                                                                                   
        ****************                *********                                                                                    
         ****************               **  **                                                                                       
          *********************          ******    *********                  ******                                                 
           ************************     ************************             **    ***                                               
            ***************      **********                   *****          **     ***                                              
             ***************       *****        *******           ***        **   **  **                                             
               *************         *     ****************         ***      **        **                                            
                 ***********       *** *****              ***         **      **     *****                                           
                    ********      ***                       **         **      **        **                                          
                      ******     **                         **         ***       **      **                                          
                        ***      **        ********   *  *   **         **        **     ***                                         
                                 ********** **    **  *  *  ***         **        **      **                                         
                                             *     ***********          ************      **                                         
                                             **                         *****    ***      **                                         
                                             **                                           **                                         
                                              *                                           **                                         
                                              **                                          **                                         
                                               **                          ********       **                                         
                                                **                        *************  ***                                         
                                                 **                     ***         ******                                           
                                                  **                  ***                                                            
                                                   ****      **       **                                                             
                                                     **********      **                                                              
                                                           ***      **                                                               
                                                 ***********    *********                                                            
                                               ***                      **                                                           
                                               **                        **                                                          
                                                **               ***      *                                                          
                                                 ***       **      ***  **                                                           
                                                   ****     **       ***                                                             
                                                      ****************                                                               
                                                                                                                                     
1                                                JJJJJJJ  U     U  L        Y     Y                                                 
        999                                         J     U     U  L         Y   Y                                        666       
       9   9                                        J     U     U  L          Y Y                                        6          
   1    9999                                        J     U     U  L           Y                                         6666   999 
  11       9                                        J     U     U  L           Y                                         6   6 9   9
   1    999                                      J  J     U     U  L           Y                                          666   9999
   1                                              JJ       UUUUU   LLLLLLL     Y                                                   9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I           1     I          222    I         33333   I            4    I         55555      
                     I                 I          11     I         2   2   I             3   I           44    I         5          
                     I                 I           1     I            2    I           33    I          4 4    I         5555       
                     I                 I           1     I          2      I         3   3   I         44444   I             5      
                     I                 I         11111   I         22222   I          333    I            4    I         5555       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              666    I         77777   I          888    I          999    I    1     000    I    1      1     I    1     222       
             6       I             7   I         8   8   I         9   9   I   11    0   0   I   11     11     I   11    2   2      
             6666    I            7    I          888    I          9999   I    1    0   0   I    1      1     I    1       2       
             6   6   I           7     I         8   8   I             9   I    1    0   0   I    1      1     I    1     2         
              666    I           7     I          888    I          999    I  11111   000    I  11111  11111   I  11111  22222      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1    33333   I    1       4    I    1    55555   I    1     666    I    1    77777   I    1     888    I    1     999       
       11        3   I   11      44    I   11    5       I   11    6       I   11        7   I   11    8   8   I   11    9   9      
        1      33    I    1     4 4    I    1    5555    I    1    6666    I    1       7    I    1     888    I    1     9999      
        1    3   3   I    1    44444   I    1        5   I    1    6   6   I    1      7     I    1    8   8   I    1        9      
      11111   333    I  11111     4    I  11111  5555    I  11111   666    I  11111    7     I  11111   888    I  11111   999       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222    000    I   222     1     I   222    222    I   222   33333   I   222      4    I   222   55555   I   222    666       
      2   2  0   0   I  2   2   11     I  2   2  2   2   I  2   2      3   I  2   2    44    I  2   2  5       I  2   2  6          
         2   0   0   I     2     1     I     2      2    I     2     33    I     2    4 4    I     2   5555    I     2   6666       
       2     0   0   I   2       1     I   2      2      I   2     3   3   I   2     44444   I   2         5   I   2     6   6      
      22222   000    I  22222  11111   I  22222  22222   I  22222   333    I  22222     4    I  22222  5555    I  22222   666       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222   77777   I   222    888    I   222    999    I  33333   000    I  33333    1     I                 I                    
      2   2      7   I  2   2  8   8   I  2   2  9   9   I      3  0   0   I      3   11     I                 I                    
         2      7    I     2    888    I     2    9999   I    33   0   0   I    33     1     I                 I                    
       2       7     I   2     8   8   I   2         9   I  3   3  0   0   I  3   3    1     I                 I                    
      22222    7     I  22222   888    I  22222   999    I   333    000    I   333   11111   I                 I                    
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                              **********                                                            
                                                           ****          ****                                                        
                                                        ***                  **                                                      
                                                      **      ******           **                                                    
                                                     *      **                   *                                                   
                                                    *      *                      *                                                  
                                                   *       *      *      *         *                                                 
                                                  *         **  ** **  **          *                                                 
                                                  *           **     **            *                                                 
                                                 *      *                **         *                                                
                                                 *     *       ****        *        *                                                
                                                *     *    OO *     OO     *        **                                               
                                                *     *       *           *        *  *                                              
                                                *      *       ***                     *                                             
                                                *                                     *                                              
                                                 *                                 ***                                               
                                                  *                                *                                                 
                                                  *       I--------------I        *                                                  
                                                   * *  **                       *                                                   
                                                    * **  ***                  **                                                    
                                                    * *  **  *              ***                                                      
                                                    *     ****          ****                                                         
                                                     *     *************   *                                                         
                                                      *     **            **                                                         
                                                     **     *************&&&                                                         
                                                  **        ***&&&&****&&&&&&&                                                       
                                                    **      ****&&******&&&&&                                                        
                                                 *          *&&&&&&&&&&&&&&&&&                                                       
                                                *           *&&&&&&&&&&&&&&&&&&                                                      
                                                *          *&&&&&&&&&&&&&&&&&&&&                                                     
                                               &*         *&&&&&&&&&&&&&&&&&&&&&                                                     
                                               &&*       *&&&&&&&&&&&&&*&&&&&&&&                                                     
                                               &&&**  ***&&&&&&&&&&&&&&**&&&&&&&&                                                    
                                                &&O&**&&&O&&&&&&O&&&&&&O*&&&&&&&&                                                    
                                                 OOO&&&&OOO&&&&OOO&&&&OO*&&&&&&&&                                                    
                                                 OOOO&&OOOOO&&OOOOO&&OOO*      *&                                                    
                                                 OOOOOOOOOOOOOOOOOOOOOOO*      *&&                                                   
                                                 &&OOOOOO&OOOOOO&OOOOOO&*      *&&                                                   
                                                &&&&OOOO&&&OOOO&&&OOOO&&*      **&&                                                  
                                                &&&&&OO&&&&&OO&&&&&OO&&&* * * ****&                                                  
                                                &&&&&&&&&&&&&&&&&&&&&&&&* * ** *&&&                                                  
                                                &&&&&&&&&&&&&&&&&&&&&&&&*****&*&&&&                                                  
                                                 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                   
                                                 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                   
                                                 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                   
                                                         *       *  *        *                                                       
                                                         *********  ********                                                         
                                                         *       *  *        *                                                       
                                                    ****************************                                                     
                                                ****         ****              **                                                    
                                              **            **                  **                                                   
                                             *************************************                                                   
                                                                                                                                     
                                                      OH, GOOD GRIEF                                                                 
1                                        AAAAA   U     U   GGGGG   U     U   SSSSS   TTTTTTT                                        
        999                             A     A  U     U  G     G  U     U  S     S     T                                 666       
       9   9                            A     A  U     U  G        U     U  S           T                                6          
   1    9999                            AAAAAAA  U     U  G   GGG  U     U   SSSSS      T                                6666   999 
  11       9                            A     A  U     U  G     G  U     U        S     T                                6   6 9   9
   1    999                             A     A  U     U  G     G  U     U  S     S     T                                 666   9999
   1                                    A     A   UUUUU    GGGGG    UUUUU    SSSSS      T                                          9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I           1     I          222       
                     I                 I                 I                 I                 I          11     I         2   2      
                     I                 I                 I                 I                 I           1     I            2       
                     I                 I                 I                 I                 I           1     I          2         
                     I                 I                 I                 I                 I         11111   I         22222      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
             33333   I            4    I         55555   I          666    I         77777   I          888    I          999       
                 3   I           44    I         5       I         6       I             7   I         8   8   I         9   9      
               33    I          4 4    I         5555    I         6666    I            7    I          888    I          9999      
             3   3   I         44444   I             5   I         6   6   I           7     I         8   8   I             9      
              333    I            4    I         5555    I          666    I           7     I          888    I          999       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     000    I    1      1     I    1     222    I    1    33333   I    1       4    I    1    55555   I    1     666       
       11    0   0   I   11     11     I   11    2   2   I   11        3   I   11      44    I   11    5       I   11    6          
        1    0   0   I    1      1     I    1       2    I    1      33    I    1     4 4    I    1    5555    I    1    6666       
        1    0   0   I    1      1     I    1     2      I    1    3   3   I    1    44444   I    1        5   I    1    6   6      
      11111   000    I  11111  11111   I  11111  22222   I  11111   333    I  11111     4    I  11111  5555    I  11111   666       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1    77777   I    1     888    I    1     999    I   222    000    I   222     1     I   222    222    I   222   33333      
       11        7   I   11    8   8   I   11    9   9   I  2   2  0   0   I  2   2   11     I  2   2  2   2   I  2   2      3      
        1       7    I    1     888    I    1     9999   I     2   0   0   I     2     1     I     2      2    I     2     33       
        1      7     I    1    8   8   I    1        9   I   2     0   0   I   2       1     I   2      2      I   2     3   3      
      11111    7     I  11111   888    I  11111   999    I  22222   000    I  22222  11111   I  22222  22222   I  22222   333       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222      4    I   222   55555   I   222    666    I   222   77777   I   222    888    I   222    999    I  33333   000       
      2   2    44    I  2   2  5       I  2   2  6       I  2   2      7   I  2   2  8   8   I  2   2  9   9   I      3  0   0      
         2    4 4    I     2   5555    I     2   6666    I     2      7    I     2    888    I     2    9999   I    33   0   0      
       2     44444   I   2         5   I   2     6   6   I   2       7     I   2     8   8   I   2         9   I  3   3  0   0      
      22222     4    I  22222  5555    I  22222   666    I  22222    7     I  22222   888    I  22222   999    I   333    000       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
      33333    1     I                 I                 I                 I                 I                 I                    
          3   11     I                 I                 I                 I                 I                 I                    
        33     1     I                 I                 I                 I                 I                 I                    
      3   3    1     I                 I                 I                 I                 I                 I                    
       333   11111   I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                                                                                                    
                                                                                                                                     
                                                                                                                                     
                                                         XXXXXXXXXXXXX                                                               
                                                      XXXX           XXX                                                             
                                                      X                    XX                                                        
                                                     XX                      XX                                                      
                                                    XX                          XX                                                   
                                                   XX                             XX                                                 
                                                  XX                                XX                                               
                                                 XX                                  XX                                              
                                                 XX                                   XX                                             
                                                 XX                                    XX                                            
                                                 XX                XXXXX                XX                                           
                                     XXXXXXXXXXX XX         X    X  XXX  X               XX                                          
                                 RRRR        XXX  X       XX    X X     X X              XX                                          
                             RRRRRRRRR       XXXXX XXXXXX XX XX X      X  X             XX                                           
                          RRRRRRRRRRRR       XXX                 X      X X             XX                                           
                        RRRRRRRRRRRRRRR      XXX                       X X            XX                                             
                     X    RRRRRRRRRRRRRR     XXX                     X XX           XX                                               
                   X       RRRRRRRRRRRRRR    XXXXXXX                   XX         XX                                                 
                 X          RRRRRRRRRRRRR  XXXXX   X                      X     XX                                                   
               RR            RRRRRRRX        XXX    X                       X    XX                                                  
              RRRR            RRRRRX         XX     X              XX       X     XX                                                 
             RRRRRR            RRRX          RX      X              XX      X      XX                                                
            RRRRRRRR            RRX       RRRRX       X               X XXXX        XX                                               
           RRRRRRRRRR            RX    RRRRRRRX        X              XX   X        XX                                               
          RRRRRRRRRRRR         VVVVXRRRRRRRRRRX         X             X    X        XX                                               
          RRRRRRRRRRRRR     VVVVVVVVVRRRRRRRRXX           X     XX    X     X      XX                                                
         RRRRRRRRRRRRRRR  VVVVVVVVVVVVVRRRRXXX X            X X  X    X      X    XX                                                 
        X  RRRRRRRRRRRRRVVVVVVVVVVVVVVVVRXXX    X                 XXX         XXX                                                    
        X    RRRRRRRRRRVVVVVVVVVVVVVVVVVXX       XX                                                                                  
       X       RRRRRRRVVVVVVVVVVVVVVVVVV           XX                                                                                
       X          RRRVVVVVVVVVVVVVVVVVVVX            X-----                                                                          
      X            RVVVVVVVVVVVVVVVVVVVV XX            ----         /                                                                
      RR            VVVVVVVVVVVVVVVVVVVV   XXX         ----        /                                                                 
      RRRR         VVVVVVVVVVVVVVVVVVVV    BBBX       ----        /                                                                  
      RRRRRR      VVVVVVVVVVVVVVVVVVVVV   BBBBB XXXX  ---- 00000000000000000000000000000000000000000000000000000000000               
      RRRRRRRRR   VVVVVVVVVVVVVVVVVVVV   BBBBBB      ---   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO               
       RRRRRRRRRRVVVVVVVVVVVVVVVVVVVV   BBBBBBB            OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO               
       RRRRRRRRRRVVVVVVVVVVVVVVVVVVVVX BBBBBBBB         %OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO               
       X  RRRRRRRVVVVVVVVVVVVVVVVVVV  BBBBBBBBB        %OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO               
        X       VVVVVVVVVVVVVVVVVVV  BBBBBBBBBOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO               
         X      VVVVVVVVVVVVVVVVVV   BBBBBBBBBOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO               
          X     VVVVVVVVVVVVVVVVVX  BBBBBBBBBOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO/                        OOO                    
           X    VVVVVVVVVVVVVVVV  X BBBBBBBBB        OOO                                                      OOO                    
            X   VVVVVVVVVVVVVVV    BBBBBBBBB         OOO                                                      OOO                    
             X  VVVVVVVVVVVVV      BBBBBBBB          OOO                                                      OOO                    
              XXVVVVVVVVVVV        BBBBBBB           OOO                                                      OOO                    
                 VVVVVVV           BBBBB            OOO                                                      OOO                     
                                    BBB                                                                                              
1                        SSSSS   EEEEEEE  PPPPPP  TTTTTTT  EEEEEEE  M     M  BBBBBB   EEEEEEE  RRRRRR                               
        999             S     S  E        P     P    T     E        MM   MM  B     B  E        R     R                    666       
       9   9            S        E        P     P    T     E        M M M M  B     B  E        R     R                   6          
   1    9999             SSSSS   EEEEE    PPPPPP     T     EEEEE    M  M  M  BBBBBB   EEEEE    RRRRRR                    6666   999 
  11       9                  S  E        P          T     E        M     M  B     B  E        R   R                     6   6 9   9
   1    999             S     S  E        P          T     E        M     M  B     B  E        R    R                     666   9999
   1                     SSSSS   EEEEEEE  P          T     EEEEEEE  M     M  BBBBBB   EEEEEEE  R     R                             9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I           1     I          222    I         33333   I            4    I         55555   I          666       
                     I          11     I         2   2   I             3   I           44    I         5       I         6          
                     I           1     I            2    I           33    I          4 4    I         5555    I         6666       
                     I           1     I          2      I         3   3   I         44444   I             5   I         6   6      
                     I         11111   I         22222   I          333    I            4    I         5555    I          666       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
             77777   I          888    I          999    I    1     000    I    1      1     I    1     222    I    1    33333      
                 7   I         8   8   I         9   9   I   11    0   0   I   11     11     I   11    2   2   I   11        3      
                7    I          888    I          9999   I    1    0   0   I    1      1     I    1       2    I    1      33       
               7     I         8   8   I             9   I    1    0   0   I    1      1     I    1     2      I    1    3   3      
               7     I          888    I          999    I  11111   000    I  11111  11111   I  11111  22222   I  11111   333       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1       4    I    1    55555   I    1     666    I    1    77777   I    1     888    I    1     999    I   222    000       
       11      44    I   11    5       I   11    6       I   11        7   I   11    8   8   I   11    9   9   I  2   2  0   0      
        1     4 4    I    1    5555    I    1    6666    I    1       7    I    1     888    I    1     9999   I     2   0   0      
        1    44444   I    1        5   I    1    6   6   I    1      7     I    1    8   8   I    1        9   I   2     0   0      
      11111     4    I  11111  5555    I  11111   666    I  11111    7     I  11111   888    I  11111   999    I  22222   000       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222     1     I   222    222    I   222   33333   I   222      4    I   222   55555   I   222    666    I   222   77777      
      2   2   11     I  2   2  2   2   I  2   2      3   I  2   2    44    I  2   2  5       I  2   2  6       I  2   2      7      
         2     1     I     2      2    I     2     33    I     2    4 4    I     2   5555    I     2   6666    I     2      7       
       2       1     I   2      2      I   2     3   3   I   2     44444   I   2         5   I   2     6   6   I   2       7        
      22222  11111   I  22222  22222   I  22222   333    I  22222     4    I  22222  5555    I  22222   666    I  22222    7        
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222    888    I   222    999    I  33333   000    I                 I                 I                 I                    
      2   2  8   8   I  2   2  9   9   I      3  0   0   I                 I                 I                 I                    
         2    888    I     2    9999   I    33   0   0   I                 I                 I                 I                    
       2     8   8   I   2         9   I  3   3  0   0   I                 I                 I                 I                    
      22222   888    I  22222   999    I   333    000    I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                                                                                                    
                                                      /----X      /----X                                                             
                                                     / ---- X    / /--X X                                                            
                                                    / /    X X  / /    X X                                                           
                                                   / /  /---X I-I IX   I I                                                           
                                                   I I /                                                                             
                                                   I I /OOOOI I-I IOX  I I                                                           
                                                   I I/OOOO/ /OOOX XOX / /                                                           
                                                   I X/OOO/ /O/---X X-X /                                                            
                                                    X X--/ /O/     X---/                                                             
                                                   /SX--/-XO/          X                                                             
                                                 /XSS/OOOOO/            X                                                            
                                                /  X/OOOOO/              X                                                           
                                               /    XOOOOI      //X   //X X                                                          
                                               I     XOOOI     //  X //  X X------&&&&---X                                           
                                               I      IOOI      %8<   %8<                 X                                          
                                               I  &   IO%/<                                X                                         
                                               I      IOOI                                  X                                        
                                               X     /OOOI                                   X                                       
                                                X   /OOOOI                                    X                                      
                                                 X-/OOOOOX                            X-X     <                                      
                                                  XOOOOOOOX                          %&&&<    <                                      
                                                   XOOOOOOOX                         %&&&<    <                                      
                                                    XOOOOOOOX--X                       X-X     <                                     
                                                     XOOOOOOOOOOX       ***                   <                                      
                                                      X---------X          *                  /                                      
                                                               XX           *                /                                       
                                                                 X           *--X           /                                        
                                                                  I       /***   X---------/                                         
                                        *#*#*#*-------*           I      /                                                           
                                         *I           I*-----*    I      I          --                                               
                                        *I           I*     I*#*<*#*#*#*<         <OO<                                               
                                         *I           I*   *#*   %OOOOOOO<      -  %OO<                                              
                                         *I           I-----**#*%*#*#*#*<&&&&&/ XX,&&&&&                                             
                                      *#*#*-----------*---*      I       I&&&--<      %   <                                          
                                                                /                      < %                                           
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                                                              /                  -    < %                                            
                                                             /*         /&&&I&&&&/ /&&/&&/                                           
                                                            /&&             I        XX                                              
                                                           /&&&             I /&&&<  XX                                              
                                                          /&&&             /&&&<  I  XX                                              
                                           -             /&&&&            /&&&&I  /  XX                                              
                                             -          /****             I    /  X  XX                                              
                                            - -       /***               X    X   < XX                                               
                                             -   - -  %           /&&&&&X X    <  I XX                                               
                                               - **** %          &       X     I  I XX                                               
                                                  - - -X                       I  I XX                                               
                                                        X                      I  I XX                                               
                                                         X                     I  I XX                                               
                                                          X      /&&&&&&&X     I&&</XX                                               
                                                           X&&&&/         X&&&&<  /XX/                                               
                                             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                           
                                             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                           
1                                   OOOOO    CCCCC   TTTTTTT   OOOOO   BBBBBB   EEEEEEE  RRRRRR                                     
        999                        O     O  C     C     T     O     O  B     B  E        R     R                          666       
       9   9                       O     O  C           T     O     O  B     B  E        R     R                         6          
   1    9999                       O     O  C           T     O     O  BBBBBB   EEEEE    RRRRRR                          6666   999 
  11       9                       O     O  C           T     O     O  B     B  E        R   R                           6   6 9   9
   1    999                        O     O  C     C     T     O     O  B     B  E        R    R                           666   9999
   1                                OOOOO    CCCCC      T      OOOOO   BBBBBB   EEEEEEE  R     R                                   9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I           1     I          222    I         33333   I            4       
                     I                 I                 I          11     I         2   2   I             3   I           44       
                     I                 I                 I           1     I            2    I           33    I          4 4       
                     I                 I                 I           1     I          2      I         3   3   I         44444      
                     I                 I                 I         11111   I         22222   I          333    I            4       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
             55555   I          666    I         77777   I          888    I          999    I    1     000    I    1      1        
             5       I         6       I             7   I         8   8   I         9   9   I   11    0   0   I   11     11        
             5555    I         6666    I            7    I          888    I          9999   I    1    0   0   I    1      1        
                 5   I         6   6   I           7     I         8   8   I             9   I    1    0   0   I    1      1        
             5555    I          666    I           7     I          888    I          999    I  11111   000    I  11111  11111      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     222    I    1    33333   I    1       4    I    1    55555   I    1     666    I    1    77777   I    1     888       
       11    2   2   I   11        3   I   11      44    I   11    5       I   11    6       I   11        7   I   11    8   8      
        1       2    I    1      33    I    1     4 4    I    1    5555    I    1    6666    I    1       7    I    1     888       
        1     2      I    1    3   3   I    1    44444   I    1        5   I    1    6   6   I    1      7     I    1    8   8      
      11111  22222   I  11111   333    I  11111     4    I  11111  5555    I  11111   666    I  11111    7     I  11111   888       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     999    I   222    000    I   222     1     I   222    222    I   222   33333   I   222      4    I   222   55555      
       11    9   9   I  2   2  0   0   I  2   2   11     I  2   2  2   2   I  2   2      3   I  2   2    44    I  2   2  5          
        1     9999   I     2   0   0   I     2     1     I     2      2    I     2     33    I     2    4 4    I     2   5555       
        1        9   I   2     0   0   I   2       1     I   2      2      I   2     3   3   I   2     44444   I   2         5      
      11111   999    I  22222   000    I  22222  11111   I  22222  22222   I  22222   333    I  22222     4    I  22222  5555       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222    666    I   222   77777   I   222    888    I   222    999    I  33333   000    I  33333    1     I                    
      2   2  6       I  2   2      7   I  2   2  8   8   I  2   2  9   9   I      3  0   0   I      3   11     I                    
         2   6666    I     2      7    I     2    888    I     2    9999   I    33   0   0   I    33     1     I                    
       2     6   6   I   2       7     I   2     8   8   I   2         9   I  3   3  0   0   I  3   3    1     I                    
      22222   666    I  22222    7     I  22222   888    I  22222   999    I   333    000    I   333   11111   I                    
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                                                                                                    
                                                                                  -XXXXXX-                                           
                                                                              XXXX        XX                                         
                                                        XXXXX                X               XX                                      
                                                      XX     XX             X                  XX                                    
                                                    XX         XXX         X                     XX                                  
                                                  XX          *-  XXX     X               ****     XX                                
                                                 XX         /***     XXXXX               ******      X                               
                                                XXX        -**                           *******      X                              
                                               XXX                                        *****       X                              
                                               XX                  /<                                 X                              
                                              XXX                  /                                  X                              
                                              XXX                 %/ X                                X                              
                                            XXX X                    -XX                             X                               
                                           XXXX X                      XXXXXXXXX                    X                                
                                          XXXX  X                            XXXXXXXX             XX                                 
                                         X XXX XX                          XX        XXXXXXXXXXXXX                                   
                                         XXXX X                          XX                                                          
                                       XXXXX  XX                       XX                                                            
                                       XXXXX X XX                     XX                                                             
                                      XXXXXX X   XX                  XXX                                                             
                                     XXXX XXX       X              XXXXXX                                                            
                                     XXXX XX          X           X  XXXXX                                                           
                                     XXXX XX           X         X   XXXXX                                                           
                                    XXX XXXX            X       X     XXXXXX                                                         
                                    XXX XXXX             X      X      XXXXXX                                                        
                                    XXXXXXX              X      X       XXXXX                                                        
                                    XXXXXXXX             X      X       XXXXX                                                        
                                     XXXXXXXX            I//////I        XXXXX                                                       
                                      XXXXXXX            I//////I        XXXXX                                                       
                                      XXXXXXXX           I//////I        XXXXX                                                       
                                       XXXXXXX           X      X        XXXXX                                                       
                                         XXXXX           X      X        XXXXX                                                       
                                                         X      X        XXXX                                                        
                                                         X      X        XXX                                                         
                                                         X      X                                                                    
                                                        X       X                                                                    
                                                       X         X                                                                   
                                                      XX         X                                                                   
                                                      X          X                                                                   
                                                     X           X                                                                   
                                                     X           X                                                                   
                                              XXXXXX X            X  XXXXXX                                                          
                                            XXX    XX             X XX     XX                                                        
                                           XX       XX             X        XX                                                       
                                           X          X           XX         X                                                       
                                          X           X           X           X                                                      
                                          X           X           X           X                                                      
                                           X          X           X           X                                                      
                                           X          X           X           X                                                      
                                            X         XX          X          X                                                       
                                            XX        X           X          X                                                       
                                  XXXXXXXX    X       XX   XX     X         X                                                        
                                 XX       XXXX X   XXXX    XX     X           XXXXXXX                                                
                               XX    XX       XXXXXX       XX      XX      X        XXX                                              
                               X    XX                     XX       X      XX     X    X                                             
                               X    X     X      X         XX        XX      X    X    X                                             
                               X   X      X     X          XX          X      XX   X   X                                             
                               XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                             
1                              N     N   OOOOO   V     V  EEEEEEE  M     M  BBBBBB   EEEEEEE  RRRRRR                                
        999                    NN    N  O     O  V     V  E        MM   MM  B     B  E        R     R                     666       
       9   9                   N N   N  O     O  V     V  E        M M M M  B     B  E        R     R                    6          
   1    9999                   N  N  N  O     O  V     V  EEEEE    M  M  M  BBBBBB   EEEEE    RRRRRR                     6666   999 
  11       9                   N   N N  O     O   V   V   E        M     M  B     B  E        R   R                      6   6 9   9
   1    999                    N    NN  O     O    V V    E        M     M  B     B  E        R    R                      666   9999
   1                           N     N   OOOOO      V     EEEEEEE  M     M  BBBBBB   EEEEEEE  R     R                              9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I          11        
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I           1        
                     I                 I                 I                 I                 I                 I         11111      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              222    I         33333   I            4    I         55555   I          666    I         77777   I          888       
             2   2   I             3   I           44    I         5       I         6       I             7   I         8   8      
                2    I           33    I          4 4    I         5555    I         6666    I            7    I          888       
              2      I         3   3   I         44444   I             5   I         6   6   I           7     I         8   8      
             22222   I          333    I            4    I         5555    I          666    I           7     I          888       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
              999    I    1     000    I    1      1     I    1     222    I    1    33333   I    1       4    I    1    55555      
             9   9   I   11    0   0   I   11     11     I   11    2   2   I   11        3   I   11      44    I   11    5          
              9999   I    1    0   0   I    1      1     I    1       2    I    1      33    I    1     4 4    I    1    5555       
                 9   I    1    0   0   I    1      1     I    1     2      I    1    3   3   I    1    44444   I    1        5      
              999    I  11111   000    I  11111  11111   I  11111  22222   I  11111   333    I  11111     4    I  11111  5555       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     666    I    1    77777   I    1     888    I    1     999    I   222    000    I   222     1     I   222    222       
       11    6       I   11        7   I   11    8   8   I   11    9   9   I  2   2  0   0   I  2   2   11     I  2   2  2   2      
        1    6666    I    1       7    I    1     888    I    1     9999   I     2   0   0   I     2     1     I     2      2       
        1    6   6   I    1      7     I    1    8   8   I    1        9   I   2     0   0   I   2       1     I   2      2         
      11111   666    I  11111    7     I  11111   888    I  11111   999    I  22222   000    I  22222  11111   I  22222  22222      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222   33333   I   222      4    I   222   55555   I   222    666    I   222   77777   I   222    888    I   222    999       
      2   2      3   I  2   2    44    I  2   2  5       I  2   2  6       I  2   2      7   I  2   2  8   8   I  2   2  9   9      
         2     33    I     2    4 4    I     2   5555    I     2   6666    I     2      7    I     2    888    I     2    9999      
       2     3   3   I   2     44444   I   2         5   I   2     6   6   I   2       7     I   2     8   8   I   2         9      
      22222   333    I  22222     4    I  22222  5555    I  22222   666    I  22222    7     I  22222   888    I  22222   999       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
      33333   000    I                 I                 I                 I                 I                 I                    
          3  0   0   I                 I                 I                 I                 I                 I                    
        33   0   0   I                 I                 I                 I                 I                 I                    
      3   3  0   0   I                 I                 I                 I                 I                 I                    
       333    000    I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                                           *********                                                 
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                                       ****       ***                                                
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                                     **              *                                               
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO              OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                                  **   ***            *                                              
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO   OOO            OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                  ***************   *     *            *                                             
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO   O     O            OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                               ***                  *     *             *                                            
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                  O     O             OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                             **                    **    **             *                                            
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                    OO    OO             OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                            *                      **    **              *                                           
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                      OO    OO              OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                           *                                      ******  *                                          
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                                      OOOOOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                          *            ******                   ********* *                                          
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO            OOOOOO                   OOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                          *           ********                 **********  *                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO           OOOOOOOO                 OOOOOOOOOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                          *            *****                  ************ *                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO            OOOOO                  OOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                          *                                  ************* *                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                                  OOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                          *                            *     ************* *                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                            O     OOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                           *       *                  * *   ************** *                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO       O                  O O   OOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                            *     * *                *  *   ************** *                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO     O O                O  O   OOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                             **   *  ***           ** * *  *************** *                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO   O  OOO           OO O O  OOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                               **** *   ************   **  **************  *                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO O   OOOOOOOOOOOO   OO  OOOOOOOOOOOOOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                   ***  *    *  *   ***    ************** *                                          
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  O    O  O   OOO    OOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                      ***************    *************** *                                           
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO    OOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                              *        **  ************  *                                           
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO        OOOOOOOOOOOOOOOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                               *      *     ********** **                                            
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO      OOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                             **********      **********                                              
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                             **********       ******                                                 
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                           **        *                                                               
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO        OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                          *           *                                                              
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO           OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                        **       *     *                                                             
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO       O     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                       **        *     *                                                             
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO        O     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                      **        *       *                                                            
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO        O       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                     **         *    *  *                                                            
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO         O    O  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                     *         *     *   *                                                           
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO         O     O   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                    *          *     *   *                                                           
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O     O   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                    *          *     *   *                                                           
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O     O   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                    *          *    * **  *                                                          
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O    O OO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                   *          *     **  * *                                                          
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O     OO  O OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                   *          *     *   *  *                                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O     O   O  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                   *          *       ***  *                                                         
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O       OOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                   *          *         *   *                                                        
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O         O   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                   *          *      * *    *                                                        
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O      O O    OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                    *          *     **     *                                                        
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          O     OO     OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                    *           *****       *   **                                                   
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO           OOOOO       OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                     *                     *   *  *                                                  
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                     OOOOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                      **                  *****   *                                                  
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                  OOOOO   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                        *                         *                                                  
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                         OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                               ******    **                      *                                                   
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO                      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                              *      ***  *   *********         *                                                    
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO      OOOOOO   OOOOOOOOO         OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                              *  *      * *   *      *         *                                                     
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  O      OOO   OOOOOOOO         OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                               **  *     *    *     *     *   *                                                      
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO  O     O    OOOOOOO     O   OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                ***           **    *  *  * **                                                       
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO           OOOOOOO  O  O OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                  **            *   *  *  *                                                          
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO            OOOOO  O  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                    ***          *  *  ***                                                           
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO          OOOO  OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                       ****      *   **                                                              
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO      OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                           ******                                                                    
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                  --------------------------------                                                   
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                 ---------------------------------------------------------------                                     
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                          -------------------------------------------------------------------                        
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
                                                           --------------------------------------------                              
+OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
 OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
1                              DDDDDD   EEEEEEE   CCCCC   EEEEEEE  M     M  BBBBBB   EEEEEEE  RRRRRR                                
        999                    D     D  E        C     C  E        MM   MM  B     B  E        R     R                     666       
       9   9                   D     D  E        C        E        M M M M  B     B  E        R     R                    6          
   1    9999                   D     D  EEEEE    C        EEEEE    M  M  M  BBBBBB   EEEEE    RRRRRR                     6666   999 
  11       9                   D     D  E        C        E        M     M  B     B  E        R   R                      6   6 9   9
   1    999                    D     D  E        C     C  E        M     M  B     B  E        R    R                      666   9999
   1                           DDDDDD   EEEEEEE   CCCCC   EEEEEEE  M     M  BBBBBB   EEEEEEE  R     R                              9
 11111                                                                                                                          999 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I           1     I          222    I         33333   I            4    I         55555   I          666       
                     I          11     I         2   2   I             3   I           44    I         5       I         6          
                     I           1     I            2    I           33    I          4 4    I         5555    I         6666       
                     I           1     I          2      I         3   3   I         44444   I             5   I         6   6      
                     I         11111   I         22222   I          333    I            4    I         5555    I          666       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
             77777   I          888    I          999    I    1     000    I    1      1     I    1     222    I    1    33333      
                 7   I         8   8   I         9   9   I   11    0   0   I   11     11     I   11    2   2   I   11        3      
                7    I          888    I          9999   I    1    0   0   I    1      1     I    1       2    I    1      33       
               7     I         8   8   I             9   I    1    0   0   I    1      1     I    1     2      I    1    3   3      
               7     I          888    I          999    I  11111   000    I  11111  11111   I  11111  22222   I  11111   333       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1       4    I    1    55555   I    1     666    I    1    77777   I    1     888    I    1     999    I   222    000       
       11      44    I   11    5       I   11    6       I   11        7   I   11    8   8   I   11    9   9   I  2   2  0   0      
        1     4 4    I    1    5555    I    1    6666    I    1       7    I    1     888    I    1     9999   I     2   0   0      
        1    44444   I    1        5   I    1    6   6   I    1      7     I    1    8   8   I    1        9   I   2     0   0      
      11111     4    I  11111  5555    I  11111   666    I  11111    7     I  11111   888    I  11111   999    I  22222   000       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222     1     I   222    222    I   222   33333   I   222      4    I   222   55555   I   222    666    I   222   77777      
      2   2   11     I  2   2  2   2   I  2   2      3   I  2   2    44    I  2   2  5       I  2   2  6       I  2   2      7      
         2     1     I     2      2    I     2     33    I     2    4 4    I     2   5555    I     2   6666    I     2      7       
       2       1     I   2      2      I   2     3   3   I   2     44444   I   2         5   I   2     6   6   I   2       7        
      22222  11111   I  22222  22222   I  22222   333    I  22222     4    I  22222  5555    I  22222   666    I  22222    7        
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222    888    I   222    999    I  33333   000    I  33333    1     I                 I                 I                    
      2   2  8   8   I  2   2  9   9   I      3  0   0   I      3   11     I                 I                 I                    
         2    888    I     2    9999   I    33   0   0   I    33     1     I                 I                 I                    
       2     8   8   I   2         9   I  3   3  0   0   I  3   3    1     I                 I                 I                    
      22222   888    I  22222   999    I   333    000    I   333   11111   I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
1                                                                                                                                    
                                                          *******                                                                    
                                                     ****        ***                                                                 
                                                   **                *                                                               
                                                  **       *          *         *                                                    
                                                 *                     **   * *  *                                                   
                                                 *       *               * **     *                                                  
                                                *          **             *       *                                                  
                                                 *                       *        *                                                  
                                                **    *     ***    *    *         *                                                  
                                               * *   *  00 *    00  *  *          *                                                  
                                               **    *     *        * *           *                                                  
                                               *      *     **     *  *     **    *                                                  
                                              *                      *    *** *   *                                                  
                                              *         ***  **      *  *** * *   *                                                  
                                              *        ** ***  *    *  **  *  *  *                                                   
                                               *      ** ** *  *    *  *  *   *  *                                                   
                                                  *   ***   *      *   *   * *  *                                                    
                                                 ******     *      *  *   *  * *                                                     
                                                *           ******** *     * * *                                                     
                                               *           *XXXXXX***       ** *                                                     
                                              **           *XXXXXX* *        **                                                      
                                             *00*         *0000000* *        *                                                       
                                             *000*       *00000000* *        *                                                       
                                             *000X*******XXXXXXXX*  *      *0                                                        
                                             *0000XXXXXXXXXXXXXXX* * **  **0                                                         
                                              **00000000000000000* *   *000*                                                         
                                                *0000000000000000* *   *000*                                                         
                                                *0000000000000000* *    *0*                                                          
                                                *XXXXXXXXXXXXXXXX* *    *X*                                                          
                                                *XXXXXXXXXXXXXXX*  *    *X*                                                          
                                               *000000000000000*  *    *0*                                                           
                                              *00000000000000000*  *    *0*      **                                                  
                                             *XXXXXXXXXXXXXXXXXX*  *    *X*    *   *                                                 
                                             *XXXXXXXXXXXXXXXXXX*  *    *XX*  *    *                                                 
                                             *##################*  *    *##* *    *                                                  
                                             *###################* *    *#* *     *                                                  
                                             *###################*  *   *#**  *   *                                                  
                                             *********************   *   **  **   *   *****                                          
                                                    *       * *   *  *      **   * ***     *                                         
                                                    *       * *   *   *    * *   **       *   ***                                    
                                                    ********* ******   *  *  *           *****  *****                                
                                                    *       * *     *  *  *  *                       *                               
                                             *************************  **  *                        *                               
                                           **           **            *  *       ***              ***                                
                                         **           **               **********  ***************                                   
                                        **********************************                                                           
                                                                                                                                     
                                                                                                                                     
                                                  SECURITY IS A WARM BLANKET                                                         
1                                  JJJJJJJ   AAAAA   N     N  U     U   AAAAA   RRRRRR   Y     Y                                    
        999                           J     A     A  NN    N  U     U  A     A  R     R   Y   Y                          77777      
       9   9                          J     A     A  N N   N  U     U  A     A  R     R    Y Y                               7      
   1    9999                          J     AAAAAAA  N  N  N  U     U  AAAAAAA  RRRRRR      Y                               7   000 
  11       9                          J     A     A  N   N N  U     U  A     A  R   R       Y                              7   0   0
   1    999                        J  J     A     A  N    NN  U     U  A     A  R    R      Y                              7   0   0
   1                                JJ      A     A  N     N   UUUUU   A     A  R     R     Y                                  0   0
 11111                                                                                                                          000 
                                                                                                                                    
                                                                                                                                    
         SUNDAY            MONDAY            TUESDAY          WEDNESDAY         THURSDAY           FRIDAY           SATURDAY        
                                                                                                                                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I           1     I          222    I         33333      
                     I                 I                 I                 I          11     I         2   2   I             3      
                     I                 I                 I                 I           1     I            2    I           33       
                     I                 I                 I                 I           1     I          2      I         3   3      
                     I                 I                 I                 I         11111   I         22222   I          333       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                4    I         55555   I          666    I         77777   I          888    I          999    I    1     000       
               44    I         5       I         6       I             7   I         8   8   I         9   9   I   11    0   0      
              4 4    I         5555    I         6666    I            7    I          888    I          9999   I    1    0   0      
             44444   I             5   I         6   6   I           7     I         8   8   I             9   I    1    0   0      
                4    I         5555    I          666    I           7     I          888    I          999    I  11111   000       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1      1     I    1     222    I    1    33333   I    1       4    I    1    55555   I    1     666    I    1    77777      
       11     11     I   11    2   2   I   11        3   I   11      44    I   11    5       I   11    6       I   11        7      
        1      1     I    1       2    I    1      33    I    1     4 4    I    1    5555    I    1    6666    I    1       7       
        1      1     I    1     2      I    1    3   3   I    1    44444   I    1        5   I    1    6   6   I    1      7        
      11111  11111   I  11111  22222   I  11111   333    I  11111     4    I  11111  5555    I  11111   666    I  11111    7        
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
        1     888    I    1     999    I   222    000    I   222     1     I   222    222    I   222   33333   I   222      4       
       11    8   8   I   11    9   9   I  2   2  0   0   I  2   2   11     I  2   2  2   2   I  2   2      3   I  2   2    44       
        1     888    I    1     9999   I     2   0   0   I     2     1     I     2      2    I     2     33    I     2    4 4       
        1    8   8   I    1        9   I   2     0   0   I   2       1     I   2      2      I   2     3   3   I   2     44444      
      11111   888    I  11111   999    I  22222   000    I  22222  11111   I  22222  22222   I  22222   333    I  22222     4       
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
       222   55555   I   222    666    I   222   77777   I   222    888    I   222    999    I  33333   000    I  33333    1        
      2   2  5       I  2   2  6       I  2   2      7   I  2   2  8   8   I  2   2  9   9   I      3  0   0   I      3   11        
         2   5555    I     2   6666    I     2      7    I     2    888    I     2    9999   I    33   0   0   I    33     1        
       2         5   I   2     6   6   I   2       7     I   2     8   8   I   2         9   I  3   3  0   0   I  3   3    1        
      22222  5555    I  22222   666    I  22222    7     I  22222   888    I  22222   999    I   333    000    I   333   11111      
                     I                 I                 I                 I                 I                 I                    
 --------------------I-----------------I-----------------I-----------------I-----------------I-----------------I--------------------
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
                     I                 I                 I                 I                 I                 I                    
 -----------------------------------------------------------------------------------------------------------------------------------
rc= 0
** dist/snsimp.f

 Ritz values (Real, Imag) and residual residuals
 
               col   1       col   2       col   3       
  row   1:   7.16200e+002  1.02959e+003  3.05952e-006
  row   2:   7.16200e+002 -1.02959e+003  3.05952e-006
  row   3:   6.87586e+002  1.02959e+003  3.16334e-006
  row   4:   6.87586e+002 -1.02959e+003  3.16334e-006
  
 
 _NSIMP 
 ====== 
 
 Size of the matrix is 100
 The number of Ritz values requested is 4
 The number of Arnoldi vectors generated (NCV) is 20
 What portion of the spectrum: LM
 The number of converged Ritz values is 4
 The number of Implicit Arnoldi update iterations taken is 12
 The number of OP*x is 190
 The convergence criterion is 5.960464e-008
 
rc= 0
** dist/spfunchk.f


 Test of single precision Fullerton intrinsic routines
 Single precision Fullerton intrinsic function routines o.k.


 Test of double precision Fullerton intrinsic routines
 Double precision Fullerton intrinsic function routines o.k.


 Test of complex Fullerton intrinsic routines
 Complex Fullerton intrinsic function routines o.k.

 --------------TESTI PASSED ALL TESTS----------------
rc= 0
** dist/toms743.f
10000000 upper branch trials, max dev = 8.881784197001252e-016 at x = 1.651679165658419e+001
10000000 lower branch trials, max dev = 3.330669073875470e-015 at x = 2.209086117545014e-004
rc= 0
** dist/vector.f
Maxtrix
1.100000e+0011.200000e+0011.300000e+001
2.100000e+0012.200000e+0012.300000e+001
3.100000e+0013.200000e+0013.300000e+001
Column vectors
1.100000e+0012.100000e+0013.100000e+001
1.200000e+0012.200000e+0013.200000e+001
1.300000e+0012.300000e+0013.300000e+001
Maxtrix
1.100000e+0011.200000e+0011.300000e+001
2.100000e+0012.200000e+0012.300000e+001
3.100000e+0013.200000e+0013.300000e+001
Column vectors
1.100000e+0012.100000e+0013.100000e+001
1.200000e+0012.200000e+0013.200000e+001
1.300000e+0012.300000e+0013.300000e+001
rc= 0
** dist/wapr.f
0.000000000000000e+000
-1.000000000000000e+000
1.000000000000000e+000
2.718281828459045e+000
2.276558228619568e+000
rc= 0
** dist/whetd.f
       0       0       0  1.0000e+000 -1.0000e+000 -1.0000e+000 -1.0000e+000
     120     140     120 -6.8342e-002 -4.6264e-001 -7.2972e-001 -1.1240e+000
     140     120     120 -5.5336e-002 -4.4744e-001 -7.1097e-001 -1.1031e+000
    3450       1       1  1.0000e+000 -1.0000e+000 -1.0000e+000 -1.0000e+000
    2100       1       2  6.0000e+000  6.0000e+000 -7.1097e-001 -1.1031e+000
     320       1       2  4.9041e-001  4.9041e-001  4.9039e-001  4.9039e-001
    8990       1       2  1.0000e+000  1.0000e+000  9.9994e-001  9.9994e-001
    6160       1       2  3.0000e+000  2.0000e+000  3.0000e+000 -1.1031e+000
       0       2       3  1.0000e+000 -1.0000e+000 -1.0000e+000 -1.0000e+000
     930       2       3  8.3467e-001  8.3467e-001  8.3467e-001  8.3467e-001
    6488.5 mwhets
rc= 0
** dist/whetq.f
       0       0       0 1.0000e+0000 -1.000e+0000 -1.000e+0000 -1.000e+0000
     120     140     120 -6.834e-0002 -4.626e-0001 -7.297e-0001 -1.124e+0000
     140     120     120 -5.534e-0002 -4.474e-0001 -7.110e-0001 -1.103e+0000
    3450       1       1 1.0000e+0000 -1.000e+0000 -1.000e+0000 -1.000e+0000
    2100       1       2 6.0000e+0000 6.0000e+0000 -7.110e-0001 -1.103e+0000
     320       1       2 4.9041e-0001 4.9041e-0001 4.9039e-0001 4.9039e-0001
    8990       1       2 1.0000e+0000 1.0000e+0000 9.9994e-0001 9.9994e-0001
    6160       1       2 3.0000e+0000 2.0000e+0000 3.0000e+0000 -1.103e+0000
       0       2       3 1.0000e+0000 -1.000e+0000 -1.000e+0000 -1.000e+0000
     930       2       3 8.3467e-0001 8.3467e-0001 8.3467e-0001 8.3467e-0001
     160.7 mwhets
rc= 0
** dist/whets.f
       0       0       0  1.0000e+000 -1.0000e+000 -1.0000e+000 -1.0000e+000
     120     140     120 -6.8342e-002 -4.6264e-001 -7.2972e-001 -1.1240e+000
     140     120     120 -5.5331e-002 -4.4743e-001 -7.1097e-001 -1.1031e+000
    3450       1       1  1.0000e+000 -1.0000e+000 -1.0000e+000 -1.0000e+000
    2100       1       2  6.0000e+000  6.0000e+000 -7.1097e-001 -1.1031e+000
     320       1       2  4.9041e-001  4.9041e-001  4.9039e-001  4.9039e-001
    8990       1       2  1.0000e+000  1.0000e+000  9.9994e-001  9.9994e-001
    6160       1       2  3.0000e+000  2.0000e+000  3.0000e+000 -1.1031e+000
       0       2       3  1.0000e+000 -1.0000e+000 -1.0000e+000 -1.0000e+000
     930       2       3  8.3466e-001  8.3466e-001  8.3466e-001  8.3466e-001
    7343.2 mwhets
rc= 0
** dist/whetx.f
       0       0       0 1.0000e+0000 -1.000e+0000 -1.000e+0000 -1.000e+0000
     120     140     120 -6.834e-0002 -4.626e-0001 -7.297e-0001 -1.124e+0000
     140     120     120 -5.533e-0002 -4.474e-0001 -7.110e-0001 -1.103e+0000
    3450       1       1 1.0000e+0000 -1.000e+0000 -1.000e+0000 -1.000e+0000
    2100       1       2 6.0000e+0000 6.0000e+0000 -7.110e-0001 -1.103e+0000
     320       1       2 4.9041e-0001 4.9041e-0001 4.9039e-0001 4.9039e-0001
    8990       1       2 1.0000e+0000 1.0000e+0000 9.9994e-0001 9.9994e-0001
    6160       1       2 3.0000e+0000 2.0000e+0000 3.0000e+0000 -1.103e+0000
       0       2       3 1.0000e+0000 -1.000e+0000 -1.000e+0000 -1.000e+0000
     930       2       3 8.3466e-0001 8.3466e-0001 8.3466e-0001 8.3466e-0001
       3.2 mwhets
rc= 0
** dist/xmach.f
1 3.3621031431120935062626778173217526025980793448464712401088272298088533e-4932
2 1.1897314953572317650857593266280071307634446870965102374726748212332616e+4932
3 1.1319598848533390459386399113609739725853163997673922736978268612419382e-0072
4 2.2639197697066780918772798227219479451706327995347845473956537224838764e-0072
5 3.0102999566398119521373889472449302676818988146210854131042746112710819e-0001
rc= 0
** dist/zblat1.f
 complex blas test program results
 

 test of subprogram number  1            zdotc 
                                    ----- pass -----

 test of subprogram number  2            zdotu 
                                    ----- pass -----

 test of subprogram number  3            zaxpy 
                                    ----- pass -----

 test of subprogram number  4            zcopy 
                                    ----- pass -----

 test of subprogram number  5            zswap 
                                    ----- pass -----

 test of subprogram number  6            dznrm2
                                    ----- pass -----

 test of subprogram number  7            dzasum
                                    ----- pass -----

 test of subprogram number  8            zscal 
                                    ----- pass -----

 test of subprogram number  9            zdscal
                                    ----- pass -----

 test of subprogram number 10            izamax
                                    ----- pass -----
rc= 0
** dist/zeroin.f
0 1.570796326794897e+000
0 -1.570796326794897e+000
0 1.414213562373095e+000
1 -1.000000000000000e+000
rc= 0
** dist/znsimp.f

 Ritz values (Real, Imag) and relative residuals
 
               col   1       col   2       col   3       
  row   1:   7.16197e+002  1.02958e+003  1.23806e-014
  row   2:   7.16197e+002 -1.02958e+003  1.08476e-014
  row   3:   6.87583e+002  1.02958e+003  1.05338e-014
  row   4:   6.87583e+002 -1.02958e+003  8.46739e-015
  
 
_NSIMP 
====== 
 
 Size of the matrix is 100
 The number of Ritz values requested is 4
 The number of Arnoldi vectors generated (NCV) is 20
 What portion of the spectrum: LM
 The number of converged Ritz values is 4
 The number of Implicit Arnoldi update iterations taken is 25
 The number of OP*x is 392
 The convergence criterion is 1.110223024625157e-016
 
rc= 0
** eispack/eispack-test.f

EISPACK_TEST
  FORTRAN77 version.
  Test the EISPACK library.

BALANC_TEST
  BALANC balances a real general matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1  1.100000e+002 1.200000e+001 1.300000e+001 0.000000e+000 1.500000e+001
    2  0.000000e+000 2.200000e+001 0.000000e+000 0.000000e+000 0.000000e+000
    3  3.100000e+002 3.200000e+001 3.300000e+001 0.000000e+000 3.500000e+001
    4  0.000000e+000 0.000000e+000 4.300000e+001 4.400000e+001 0.000000e+000
    5  5.100000e+002 0.000000e+000 5.300000e+001 0.000000e+000 5.500000e+001

  LOW =    2
  IGH =    4

  Scaling vector SCALE:

         1   4.00000000e+000
         2   1.00000000e+000
         3   1.00000000e+000
         4   6.25000000e-002
         5   2.00000000e+000

  The balanced matrix A:

  Col         1             2             3             4             5       
  Row

    1  4.400000e+001 0.000000e+000 4.300000e+001 0.000000e+000 0.000000e+000
    2  0.000000e+000 5.500000e+001 5.300000e+001 3.187500e+001 0.000000e+000
    3  0.000000e+000 3.500000e+001 3.300000e+001 1.937500e+001 3.200000e+001
    4  0.000000e+000 2.400000e+002 2.080000e+002 1.100000e+002 1.920000e+002
    5  0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 2.200000e+001

BANDV_TEST
  BANDV computes the eigenvectors
  of a real symmetric band matrix.
  Matrix order =        5
  Half bandwidth + 1 =        2

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    5  0.000000e+000 0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

BANDV_TEST - Warning!
  RSB error return flag IERR =        1

BISECT_TEST
  BISECT computes some eigenvalues of 
  a real symmetric tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    5  0.000000e+000 0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

  The eigenvalues Lambda:

         1   2.67949192e-001
         2   1.00000000e+000
         3   2.00000000e+000
         4   3.00000000e+000
         5   3.73205081e+000

BQR_TEST
  BQR computes some eigenvalues
  of a real symmetric band matrix.
  Matrix order =        5
  Half bandwidth+1 =        2

  The compressed matrix A:

  Col         1             2       
  Row

    1  0.000000e+000 2.000000e+000
    2 -1.000000e+000 2.000000e+000
    3 -1.000000e+000 2.000000e+000
    4 -1.000000e+000 2.000000e+000
    5 -1.000000e+000 2.000000e+000

  Eigenvalues:

12.679491924311228e-001
21.000000000000001e+000
32.000000000000001e+000
43.000000000000000e+000
53.732050807568879e+000

CBAL_TEST
  CBAL balances a complex general matrix.
  Matrix order =        5

  The matrix AR:

  Col         1             2             3             4             5       
  Row

    1  1.100000e+002 1.200000e+001 1.300000e+001 0.000000e+000 1.500000e+001
    2  0.000000e+000 2.200000e+001 0.000000e+000 0.000000e+000 0.000000e+000
    3  3.100000e+002 3.200000e+001 3.300000e+001 0.000000e+000 3.500000e+001
    4  0.000000e+000 0.000000e+000 4.300000e+001 4.400000e+001 0.000000e+000
    5  5.100000e+002 0.000000e+000 5.300000e+001 0.000000e+000 5.500000e+001

  The matrix AI:

  Col         1             2             3             4             5       
  Row

    1  1.105000e+002 1.250000e+001 1.350000e+001 0.000000e+000 1.550000e+001
    2  0.000000e+000 2.250000e+001 0.000000e+000 0.000000e+000 0.000000e+000
    3  3.105000e+002 3.250000e+001 3.350000e+001 0.000000e+000 3.550000e+001
    4  0.000000e+000 0.000000e+000 4.350000e+001 4.450000e+001 0.000000e+000
    5  5.105000e+002 0.000000e+000 5.350000e+001 0.000000e+000 5.550000e+001

  LOW =    2
  IGH =    4

  Scaling vector SCALE:

         1   4.00000000e+000
         2   1.00000000e+000
         3   1.00000000e+000
         4   6.25000000e-002
         5   2.00000000e+000

  The balanced matrix AR:

  Col         1             2             3             4             5       
  Row

    1  4.400000e+001 0.000000e+000 4.300000e+001 0.000000e+000 0.000000e+000
    2  0.000000e+000 5.500000e+001 5.300000e+001 3.187500e+001 0.000000e+000
    3  0.000000e+000 3.500000e+001 3.300000e+001 1.937500e+001 3.200000e+001
    4  0.000000e+000 2.400000e+002 2.080000e+002 1.100000e+002 1.920000e+002
    5  0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 2.200000e+001

  The balanced matrix AI:

  Col         1             2             3             4             5       
  Row

    1  4.450000e+001 0.000000e+000 4.350000e+001 0.000000e+000 0.000000e+000
    2  0.000000e+000 5.550000e+001 5.350000e+001 3.190625e+001 0.000000e+000
    3  0.000000e+000 3.550000e+001 3.350000e+001 1.940625e+001 3.250000e+001
    4  0.000000e+000 2.480000e+002 2.160000e+002 1.105000e+002 2.000000e+002
    5  0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 2.250000e+001

CGLR_TEST
  CGLR computes the eigenvalues and
  eigenvectors of a complex general matrix
  using elementary transformations.
  Matrix order =        4

  Real and imaginary parts of eigenvalues:

         1   4.828427e+000   0.000000e+000
         2   4.000000e+000   0.000000e+000
         3   2.954505e-017   0.000000e+000
         4  -8.284271e-001   0.000000e+000

CGLR_TEST
  CGLR computes the eigenvalues and
  eigenvectors of a complex general matrix
  using elementary transformations.
  Matrix order =        4

  Real and imaginary parts of eigenvalues:

         1   4.828427e+000   0.000000e+000
         2   4.000000e+000   0.000000e+000
         3   2.954505e-017   0.000000e+000
         4  -8.284271e-001   0.000000e+000

  Eigenvector        1

 4.828427e+000 0.000000e+000
-4.361302e-001 0.000000e+000
 0.000000e+000-5.732233e-001
 0.000000e+000 1.767767e-001

  Eigenvector        2

 0.000000e+000 1.914214e+000
 0.000000e+000 3.270977e-001
-1.433058e-001 0.000000e+000
-1.950825e-001 0.000000e+000

  Eigenvector        3

 0.000000e+000 0.000000e+000
 0.000000e+000 0.000000e+000
 0.000000e+000 0.000000e+000
 0.000000e+000 0.000000e+000

  Eigenvector        4

 4.828427e+000 2.000000e+000
-4.361302e-001 4.361302e-001
 5.732233e-001-5.732233e-001
 4.267767e-001 1.767767e-001

CGQR_TEST
  CGQR computes the eigenvalues and
  eigenvectors of a complex general matrix
  using unitary transformations.
  Matrix order =        4

Warning!
  The error return flag IERR =        4

  Real and imaginary parts of eigenvalues:

         1  -2.696540e+308  -2.696540e+308
         2  -2.696540e+308  -2.696540e+308
         3  -2.696540e+308  -2.696540e+308
         4   0.000000e+000   0.000000e+000

CGQR_TEST
  CGQR computes the eigenvalues and
  eigenvectors of a complex general matrix
  using unitary transformations.
  Matrix order =        4

Warning!
  The error return flag IERR =        4

  Real and imaginary parts of eigenvalues:

         1  -2.696540e+308  -2.696540e+308
         2  -2.696540e+308  -2.696540e+308
         3  -2.696540e+308  -2.696540e+308
         4   0.000000e+000   0.000000e+000

  Eigenvector        1

-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308

  Eigenvector        2

-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308

  Eigenvector        3

-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308

  Eigenvector        4

-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308
-2.696540e+308-2.696540e+308

CH_TEST
  CH computes the eigenvalues and
  eigenvectors of a complex hermitian matrix.
  Matrix order =        4

Warning!
  The error return flag IERR =        1

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4  -2.69653970e+308

CH_TEST
  CH computes the eigenvalues and
  eigenvectors of a complex hermitian matrix.
  Matrix order =        4

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4   2.69653970e+308

  Eigenvector        1

-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308

  Eigenvector        2

-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308

  Eigenvector        3

-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308

  Eigenvector        4

-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308

CH3_TEST
  CH3 computes the eigenvalues and
  eigenvectors of a complex hermitian matrix.
  Matrix order =        4

Warning!
  The error return flag IERR =        1

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4  -2.69653970e+308

CH3_TEST
  CH3 computes the eigenvalues and
  eigenvectors of a complex hermitian matrix.
  Matrix order =        4

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4   2.69653970e+308

  Eigenvector        1

-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308

  Eigenvector        2

-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308

  Eigenvector        3

-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308

  Eigenvector        4

-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308
-2.696540e+308 2.696540e+308

CINVIT_TEST
  CINVIT computes the eigenvectors of 
  a complex Hessenberg matrix.
  Matrix order =        4

CINVIT_TEST - Warning!
  COMQR returned flag IERR = 
   

IMTQLV_TEST
  IMTQLV computes the eigenvalues of a real
  symmetric tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    5  0.000000e+000 0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

IMTQLV_TEST - Warning!
  The error return flag IERR =        1

MINFIT_TEST
  MINFIT solves an overdetermined linear system
  using least squares methods.
  Matrix rows =        5
  Matrix columns =        2

  The matrix A:

  Col         1             2       
  Row

    1  1.000000e+000 1.000000e+000
    2  2.050000e+000-1.000000e+000
    3  3.060000e+000 1.000000e+000
    4 -1.020000e+000 2.000000e+000
    5  4.080000e+000-1.000000e+000

  The right hand side B:

  Col         1       
  Row

    1  1.980000e+000
    2  9.500000e-001
    3  3.980000e+000
    4  9.200000e-001
    5  2.900000e+000

  MINFIT error code IERR =        0

  The singular values:

         1   0.00000000e+000
         2   0.00000000e+000

  The least squares solution X:

         1  -2.69653970e+308
         2  -2.69653970e+308

  The residual A * X - B:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4  -2.69653970e+308
         5  -2.69653970e+308

RGELM_TEST
  RGELM computes the eigenvalues and eigenvectors of
  a real general matrix,
  using elementary transforms.
  Matrix order =        3

  The matrix A:

  Col         1             2             3       
  Row

    1  3.300000e+001 1.600000e+001 7.200000e+001
    2 -2.400000e+001-1.000000e+001-5.700000e+001
    3 -8.000000e+000-4.000000e+000-1.700000e+001

  Real and imaginary parts of eigenvalues:

         1   3.000000e+000   0.000000e+000
         2   1.000000e+000   0.000000e+000
         3   2.000000e+000   0.000000e+000

RGELM_TEST
  RGELM computes the eigenvalues and eigenvectors of
  a real general matrix,
  using elementary transforms.
  Matrix order =        3

  The matrix A:

  Col         1             2             3       
  Row

    1  3.300000e+001 1.600000e+001 7.200000e+001
    2 -2.400000e+001-1.000000e+001-5.700000e+001
    3 -8.000000e+000-4.000000e+000-1.700000e+001

  Real and imaginary parts of eigenvalues:

         1   3.000000e+000   0.000000e+000
         2   1.000000e+000   0.000000e+000
         3   2.000000e+000   0.000000e+000

  Eigenvector:

         1   1.000000e+000   0.000000e+000
         2   0.000000e+000   0.000000e+000
         3   1.000000e+000   0.000000e+000

  Eigenvector:

         1  -1.000000e+000   0.000000e+000
         2   0.000000e+000   0.000000e+000
         3  -1.000000e+000   0.000000e+000

  Eigenvector:

         1   9.795918e-001   0.000000e+000
         2   6.802721e-003   0.000000e+000
         3   1.000000e+000   0.000000e+000

  Residuals (A*x-Lambda*x) for eigenvalue        1

 1.020000e+002 0.000000e+000
-8.100000e+001 0.000000e+000
-2.800000e+001 0.000000e+000

  Residuals (A*x-Lambda*x) for eigenvalue        2

-1.040000e+002 0.000000e+000
 8.100000e+001 0.000000e+000
 2.600000e+001 0.000000e+000

  Residuals (A*x-Lambda*x) for eigenvalue        3

 1.024762e+002 0.000000e+000
-8.059184e+001 0.000000e+000
-2.686395e+001 0.000000e+000

RGORT_TEST
  RGORT computes the eigenvalues and eigenvectors of
  a real general matrix,
  using orthogonal transforms.
  Matrix order =        3

  The matrix A:

  Col         1             2             3       
  Row

    1  3.300000e+001 1.600000e+001 7.200000e+001
    2 -2.400000e+001-1.000000e+001-5.700000e+001
    3 -8.000000e+000-4.000000e+000-1.700000e+001

  Real and imaginary parts of eigenvalues:

         1   3.000000e+000   0.000000e+000
         2   1.000000e+000   0.000000e+000
         3   2.000000e+000   0.000000e+000

RGORT_TEST
  RGORT computes the eigenvalues and eigenvectors of
  a real general matrix,
  using orthogonal transforms.
  Matrix order =        3

  The matrix A:

  Col         1             2             3       
  Row

    1  3.300000e+001 1.600000e+001 7.200000e+001
    2 -2.400000e+001-1.000000e+001-5.700000e+001
    3 -8.000000e+000-4.000000e+000-1.700000e+001

  Real and imaginary parts of eigenvalues:

         1   3.000000e+000   0.000000e+000
         2   1.000000e+000   0.000000e+000
         3   2.000000e+000   0.000000e+000

  Eigenvector:

         1   1.000000e+000   0.000000e+000
         2  -7.500000e-001   0.000000e+000
         3  -2.500000e-001   0.000000e+000

  Eigenvector:

         1   1.000000e+000   0.000000e+000
         2  -8.000000e-001   0.000000e+000
         3  -2.666667e-001   0.000000e+000

  Eigenvector:

         1   1.000000e+000   0.000000e+000
         2  -8.125000e-001   0.000000e+000
         3  -2.500000e-001   0.000000e+000

  Residuals (A*x-Lambda*x) for eigenvalue        1

 3.552714e-015 0.000000e+000
-1.110223e-014 0.000000e+000
-4.218847e-015 0.000000e+000

  Residuals (A*x-Lambda*x) for eigenvalue        2

-3.552714e-015 0.000000e+000
-9.658940e-015 0.000000e+000
-2.331468e-015 0.000000e+000

  Residuals (A*x-Lambda*x) for eigenvalue        3

 5.329071e-015 0.000000e+000
-1.176836e-014 0.000000e+000
-3.663736e-015 0.000000e+000

RGG_TEST:
  RGG for real generalized problem.
  Find scalars LAMBDA and vectors x so that
    A*x = LAMBDA * B * x
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1 -7.000000e+000 7.000000e+000 6.000000e+000 6.000000e+000
    2 -1.000000e+001 8.000000e+000 1.000000e+001 8.000000e+000
    3 -8.000000e+000 3.000000e+000 1.000000e+001 1.100000e+001
    4 -4.000000e+000 0.000000e+000 4.000000e+000 1.200000e+001

  The matrix B:

  Col         1             2             3             4       
  Row

    1  2.000000e+000 1.000000e+000 0.000000e+000 0.000000e+000
    2  1.000000e+000 2.000000e+000 1.000000e+000 0.000000e+000
    3  0.000000e+000 1.000000e+000 2.000000e+000 1.000000e+000
    4  0.000000e+000 0.000000e+000 1.000000e+000 2.000000e+000

  Real and imaginary parts of eigenvalues:

         1   2.000000e+000   0.000000e+000
         2   1.000000e+000   0.000000e+000
         3   3.000000e+000   0.000000e+000
         4   4.000000e+000   0.000000e+000

RGG_TEST:
  RGG for real generalized problem.
  Find scalars LAMBDA and vectors x so that
    A*x = LAMBDA * B * x
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1 -7.000000e+000 7.000000e+000 6.000000e+000 6.000000e+000
    2 -1.000000e+001 8.000000e+000 1.000000e+001 8.000000e+000
    3 -8.000000e+000 3.000000e+000 1.000000e+001 1.100000e+001
    4 -4.000000e+000 0.000000e+000 4.000000e+000 1.200000e+001

  The matrix B:

  Col         1             2             3             4       
  Row

    1  2.000000e+000 1.000000e+000 0.000000e+000 0.000000e+000
    2  1.000000e+000 2.000000e+000 1.000000e+000 0.000000e+000
    3  0.000000e+000 1.000000e+000 2.000000e+000 1.000000e+000
    4  0.000000e+000 0.000000e+000 1.000000e+000 2.000000e+000

  Real and imaginary parts of eigenvalues:

         1   2.000000e+000   0.000000e+000
         2   1.000000e+000   0.000000e+000
         3   3.000000e+000   0.000000e+000
         4   4.000000e+000   0.000000e+000

  The eigenvectors are:

  Eigenvector        1

 1.000000e+000
 1.000000e+000
-1.000000e+000
-1.000000e+000

  Eigenvector        2

 1.000000e+000
 7.500000e-001
-1.000000e+000
-1.000000e+000

  Eigenvector        3

 6.666667e-001
 5.000000e-001
-1.000000e+000
-1.000000e+000

  Eigenvector        4

 3.333333e-001
 2.500000e-001
-5.000000e-001
-1.000000e+000

  Residuals (A*x-(Alfr+Alfi*I)*B*x) for eigenvalue        1

 3.552714e-015
-3.552714e-015
-6.328271e-015
-2.442491e-015

  Residuals (A*x-(Alfr+Alfi*I)*B*x) for eigenvalue        2

 0.000000e+000
-4.829470e-015
-6.966649e-015
-2.775558e-015

  Residuals (A*x-(Alfr+Alfi*I)*B*x) for eigenvalue        3

-3.996803e-015
 4.440892e-015
 4.884981e-015
 8.881784e-016

  Residuals (A*x-(Alfr+Alfi*I)*B*x) for eigenvalue        4

 0.000000e+000
 6.661338e-015
 7.105427e-015
 5.329071e-015

RS_TEST
  RS computes the eigenvalues and eigenvectors
  of a real symmetric matrix.
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1  5.000000e+000 4.000000e+000 1.000000e+000 1.000000e+000
    2  4.000000e+000 5.000000e+000 1.000000e+000 1.000000e+000
    3  1.000000e+000 1.000000e+000 4.000000e+000 2.000000e+000
    4  1.000000e+000 1.000000e+000 2.000000e+000 4.000000e+000

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2   2.69653970e+308
         3  -2.69653970e+308
         4   1.00000000e+000

RS_TEST
  RS computes the eigenvalues and eigenvectors
  of a real symmetric matrix.
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1  5.000000e+000 4.000000e+000 1.000000e+000 1.000000e+000
    2  4.000000e+000 5.000000e+000 1.000000e+000 1.000000e+000
    3  1.000000e+000 1.000000e+000 4.000000e+000 2.000000e+000
    4  1.000000e+000 1.000000e+000 2.000000e+000 4.000000e+000

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2   1.00000000e+000
         3  -2.69653970e+308
         4   2.69653970e+308

  The eigenvector matrix:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308 7.071068e-001-2.696540e+308-2.696540e+308
    2 -2.696540e+308-7.071068e-001-2.696540e+308-2.696540e+308
    3 -2.696540e+308 0.000000e+000-2.696540e+308-2.696540e+308
    4 -2.696540e+308 0.000000e+000-2.696540e+308-2.696540e+308

  The residual (A-Lambda*I)*X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308 0.000000e+000-2.696540e+308-2.696540e+308
    2 -2.696540e+308 0.000000e+000-2.696540e+308-2.696540e+308
    3 -2.696540e+308 0.000000e+000-2.696540e+308-2.696540e+308
    4 -2.696540e+308 0.000000e+000-2.696540e+308-2.696540e+308

RSB_TEST
  RSB computes the eigenvalues and eigenvectors
  of a real symmetric band matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    5  0.000000e+000 0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

Warning!
  The error return flag IERR =        1

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4  -2.69653970e+308
         5  -2.69653970e+308

RSB_TEST
  RSB computes the eigenvalues and eigenvectors
  of a real symmetric band matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    5  0.000000e+000 0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3   2.69653970e+308
         4   2.69653970e+308
         5   2.69653970e+308

  The eigenvector matrix X:

  Col         1             2             3             4             5       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    5 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

  The residual (A-Lambda*I)*X:

  Col         1             2             3             4             5       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    5 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

RSG_TEST:
  RSG for real symmetric generalized problem.
  Find scalars LAMBDA and vectors X so that
    A*X = LAMBDA * B * X
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1  0.000000e+000 1.000000e+000 2.000000e+000 3.000000e+000
    2  1.000000e+000 0.000000e+000 1.000000e+000 2.000000e+000
    3  2.000000e+000 1.000000e+000 0.000000e+000 1.000000e+000
    4  3.000000e+000 2.000000e+000 1.000000e+000 0.000000e+000

  The matrix B:

  Col         1             2             3             4       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

  The eigenvalues Lambda:

         1  -2.43578167e+000
         2  -5.20797289e-001
         3  -1.64218331e-001
         4   1.15207973e+001

RSG_TEST:
  RSG for real symmetric generalized problem.
  Find scalars LAMBDA and vectors X so that
    A*X = LAMBDA * B * X
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1  0.000000e+000 1.000000e+000 2.000000e+000 3.000000e+000
    2  1.000000e+000 0.000000e+000 1.000000e+000 2.000000e+000
    3  2.000000e+000 1.000000e+000 0.000000e+000 1.000000e+000
    4  3.000000e+000 2.000000e+000 1.000000e+000 0.000000e+000

  The matrix B:

  Col         1             2             3             4       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3   2.69653970e+308
         4  -2.69653970e+308

  The eigenvector matrix X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

Residuals (A*x-(w*I)*B*x) for eigenvalue        1

-2.696540e+308
-2.696540e+308
-2.696540e+308
-2.696540e+308

Residuals (A*x-(w*I)*B*x) for eigenvalue        2

-2.696540e+308
-2.696540e+308
-2.696540e+308
-2.696540e+308

Residuals (A*x-(w*I)*B*x) for eigenvalue        3

-2.696540e+308
-2.696540e+308
-2.696540e+308
-2.696540e+308

Residuals (A*x-(w*I)*B*x) for eigenvalue        4

-2.696540e+308
-2.696540e+308
-2.696540e+308
-2.696540e+308

RSGAB_TEST:
  RSGAB for real symmetric generalized problem.
  Find scalars LAMBDA and vectors X so that
    A*B*X = LAMBDA * X
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1  0.000000e+000 1.000000e+000 2.000000e+000 3.000000e+000
    2  1.000000e+000 0.000000e+000 1.000000e+000 2.000000e+000
    3  2.000000e+000 1.000000e+000 0.000000e+000 1.000000e+000
    4  3.000000e+000 2.000000e+000 1.000000e+000 0.000000e+000

  The matrix B:

  Col         1             2             3             4       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

  The eigenvalues Lambda:

         1  -5.00000000e+000
         2  -2.00000000e+000
         3  -2.00000000e+000
         4   3.00000000e+000

RSGAB_TEST:
  RSGAB for real symmetric generalized problem.
  Find scalars LAMBDA and vectors X so that
    A*B*X = LAMBDA * X
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1  0.000000e+000 1.000000e+000 2.000000e+000 3.000000e+000
    2  1.000000e+000 0.000000e+000 1.000000e+000 2.000000e+000
    3  2.000000e+000 1.000000e+000 0.000000e+000 1.000000e+000
    4  3.000000e+000 2.000000e+000 1.000000e+000 0.000000e+000

  The matrix B:

  Col         1             2             3             4       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4  -2.69653970e+308

  The eigenvector matrix X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

  The residual matrix (A*B-Lambda*I)*X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

RSGBA_TEST:
  RSGBA for real symmetric generalized problem.
  Find scalars LAMBDA and vectors X so that
    B*A*X = LAMBDA * X
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1  0.000000e+000 1.000000e+000 2.000000e+000 3.000000e+000
    2  1.000000e+000 0.000000e+000 1.000000e+000 2.000000e+000
    3  2.000000e+000 1.000000e+000 0.000000e+000 1.000000e+000
    4  3.000000e+000 2.000000e+000 1.000000e+000 0.000000e+000

  The matrix B:

  Col         1             2             3             4       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

  The eigenvalues Lambda:

         1  -5.00000000e+000
         2  -2.00000000e+000
         3  -2.00000000e+000
         4   3.00000000e+000

RSGBA_TEST:
  RSGBA for real symmetric generalized problem.
  Find scalars LAMBDA and vectors X so that
    B*A*X = LAMBDA * X
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1  0.000000e+000 1.000000e+000 2.000000e+000 3.000000e+000
    2  1.000000e+000 0.000000e+000 1.000000e+000 2.000000e+000
    3  2.000000e+000 1.000000e+000 0.000000e+000 1.000000e+000
    4  3.000000e+000 2.000000e+000 1.000000e+000 0.000000e+000

  The matrix B:

  Col         1             2             3             4       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4  -2.69653970e+308

  The eigenvector matrix X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

  The residual matrix (B*A-Lambda*I)*X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

RSM_TEST
  RSM computes some eigenvalues and eigenvectors
  of a real symmetric matrix.
  Matrix order =        4
  Number of eigenvectors desired =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1  5.000000e+000 4.000000e+000 1.000000e+000 1.000000e+000
    2  4.000000e+000 5.000000e+000 1.000000e+000 1.000000e+000
    3  1.000000e+000 1.000000e+000 4.000000e+000 2.000000e+000
    4  1.000000e+000 1.000000e+000 2.000000e+000 4.000000e+000

Warning!
  The error return flag IERR =       -4

  The eigenvalues Lambda:

         1  -1.79769313e+308
         2   1.00000000e+000
         3   6.00000000e+000
         4   1.79769313e+308

  The eigenvector matrix X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308 7.071068e-001 0.000000e+000-2.696540e+308
    2 -2.696540e+308-7.071068e-001 0.000000e+000-2.696540e+308
    3 -2.696540e+308 0.000000e+000 0.000000e+000-2.696540e+308
    4 -2.696540e+308 0.000000e+000 0.000000e+000-2.696540e+308

  The residual (A-Lambda*I)*X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308 0.000000e+000 0.000000e+000-2.696540e+308
    2 -2.696540e+308 0.000000e+000 0.000000e+000-2.696540e+308
    3 -2.696540e+308 0.000000e+000 0.000000e+000-2.696540e+308
    4 -2.696540e+308 0.000000e+000 0.000000e+000-2.696540e+308

RSP_TEST
  RSP computes the eigenvalues and eigenvectors
  of a real symmetric packed matrix.
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1  5.000000e+000 4.000000e+000 1.000000e+000 1.000000e+000
    2  4.000000e+000 5.000000e+000 1.000000e+000 1.000000e+000
    3  1.000000e+000 1.000000e+000 4.000000e+000 2.000000e+000
    4  1.000000e+000 1.000000e+000 2.000000e+000 4.000000e+000

  The eigenvalues Lambda:

         1   1.00000000e+000
         2   2.00000000e+000
         3   5.00000000e+000
         4   1.00000000e+001

RSP_TEST
  RSP computes the eigenvalues and eigenvectors
  of a real symmetric packed matrix.
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1  5.000000e+000 4.000000e+000 1.000000e+000 1.000000e+000
    2  4.000000e+000 5.000000e+000 1.000000e+000 1.000000e+000
    3  1.000000e+000 1.000000e+000 4.000000e+000 2.000000e+000
    4  1.000000e+000 1.000000e+000 2.000000e+000 4.000000e+000

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2   1.00000000e+000
         3  -2.69653970e+308
         4   2.69653970e+308

  The eigenvector matrix X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308 7.071068e-001-2.696540e+308-2.696540e+308
    2 -2.696540e+308-7.071068e-001-2.696540e+308-2.696540e+308
    3 -2.696540e+308 0.000000e+000-2.696540e+308-2.696540e+308
    4 -2.696540e+308 0.000000e+000-2.696540e+308-2.696540e+308

  The residual matrix (A-Lambda*I)*X:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308 0.000000e+000-2.696540e+308-2.696540e+308
    2 -2.696540e+308 0.000000e+000-2.696540e+308-2.696540e+308
    3 -2.696540e+308 0.000000e+000-2.696540e+308-2.696540e+308
    4 -2.696540e+308 0.000000e+000-2.696540e+308-2.696540e+308

RSPP_TEST
  RSPP finds some eigenvalues and eigenvectors of
  a real symmetric packed matrix.
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1  5.000000e+000 4.000000e+000 1.000000e+000 1.000000e+000
    2  4.000000e+000 5.000000e+000 1.000000e+000 1.000000e+000
    3  1.000000e+000 1.000000e+000 4.000000e+000 2.000000e+000
    4  1.000000e+000 1.000000e+000 2.000000e+000 4.000000e+000

  The eigenvalues Lambda:

         1   1.00000000e+000
         2   2.00000000e+000
         3   5.00000000e+000
         4   1.00000000e+001

RSPP_TEST
  RSPP finds some eigenvalues and eigenvectors of
  a real symmetric packed matrix.
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1  5.000000e+000 4.000000e+000 1.000000e+000 1.000000e+000
    2  4.000000e+000 5.000000e+000 1.000000e+000 1.000000e+000
    3  1.000000e+000 1.000000e+000 4.000000e+000 2.000000e+000
    4  1.000000e+000 1.000000e+000 2.000000e+000 4.000000e+000
 
RSPP - Fatal error!
  Error return from TINVIT.

Warning!
  The error return flag was IERR =       -3

  The eigenvalues Lambda:

         1   1.00000000e+000
         2   2.00000000e+000
         3   5.00000000e+000
         4   1.00000000e+001

  The eigenvector matrix X:

  Col         1             2             3             4       
  Row

    1  1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2  0.000000e+000 1.797693e+308 2.696540e+308 1.797693e+308
    3  0.000000e+000-1.797693e+308 2.696540e+308 1.797693e+308
    4  0.000000e+000-1.797693e+308 2.696540e+308-1.797693e+308

  The residual matrix (A-Lambda*I)*X:

  Col         1             2             3             4       
  Row

    1  4.000000e+000-2.696540e+308 2.696540e+308-2.696540e+308
    2  4.000000e+000-2.696540e+308 2.696540e+308-2.696540e+308
    3  1.000000e+000-2.696540e+308 2.696540e+308-2.696540e+308
    4  1.000000e+000-2.696540e+308 2.696540e+308-2.696540e+308

RST_TEST
  RST computes the eigenvalues and eigenvectors
  of a real symmetric tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    5  0.000000e+000 0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

Warning!
  The error return flag IERR =        1

  The eigenvalues Lambda:

         1   2.00000000e+000
         2   2.00000000e+000
         3   2.00000000e+000
         4   2.00000000e+000
         5   2.00000000e+000

RST_TEST
  RST computes the eigenvalues and eigenvectors
  of a real symmetric tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    5  0.000000e+000 0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

Warning!
  The error return flag IERR =        1

  The eigenvalues Lambda:

         1   2.00000000e+000
         2   2.00000000e+000
         3   2.00000000e+000
         4   2.00000000e+000
         5   2.00000000e+000

  The eigenvector matrix X:

  Col         1             2             3             4             5       
  Row

    1  1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2  0.000000e+000 1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    3  0.000000e+000 0.000000e+000 1.000000e+000 0.000000e+000 0.000000e+000
    4  0.000000e+000 0.000000e+000 0.000000e+000 1.000000e+000 0.000000e+000
    5  0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 1.000000e+000

  The residual matrix (A-Lambda*I)*X:

  Col         1             2             3             4             5       
  Row

    1  0.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 0.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 0.000000e+000-1.000000e+000 0.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 0.000000e+000-1.000000e+000
    5  0.000000e+000 0.000000e+000 0.000000e+000-1.000000e+000 0.000000e+000

RT_TEST
  RT computes the eigenvalues and eigenvectors
  of a real sign-symmetric tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    5  0.000000e+000 0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

Warning!
  The error return flag IERR =        1

  The eigenvalues Lambda:

         1   2.00000000e+000
         2   2.00000000e+000
         3   2.00000000e+000
         4   2.00000000e+000
         5   2.00000000e+000

RT_TEST
  RT computes the eigenvalues and eigenvectors
  of a real sign-symmetric tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    5  0.000000e+000 0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

Warning!
  The error return flag IERR =        1

  The eigenvalues Lambda:

         1   2.00000000e+000
         2   2.00000000e+000
         3   2.00000000e+000
         4   2.00000000e+000
         5   2.00000000e+000

  The eigenvector matrix X:

  Col         1             2             3             4             5       
  Row

    1  1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2  0.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    3  0.000000e+000 0.000000e+000 1.000000e+000 0.000000e+000 0.000000e+000
    4  0.000000e+000 0.000000e+000 0.000000e+000-1.000000e+000 0.000000e+000
    5  0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 1.000000e+000

  The residual matrix (A-Lambda*I)*X:

  Col         1             2             3             4             5       
  Row

    1  0.000000e+000 1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 0.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    3  0.000000e+000 1.000000e+000 0.000000e+000 1.000000e+000 0.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 0.000000e+000-1.000000e+000
    5  0.000000e+000 0.000000e+000 0.000000e+000 1.000000e+000 0.000000e+000

SVD_TEST
  SVD computes the singular value decomposition
  of a real general matrix.
  Matrix order =        4

  The matrix A:

  Col         1             2             3             4       
  Row

    1  9.900000e-001 2.000000e-003 6.000000e-003 2.000000e-003
    2  2.000000e-003 9.900000e-001 2.000000e-003 6.000000e-003
    3  6.000000e-003 2.000000e-003 9.900000e-001 2.000000e-003
    4  2.000000e-003 6.000000e-003 2.000000e-003 9.900000e-001

  The singular values S

         1   0.00000000e+000
         2   0.00000000e+000
         3   0.00000000e+000
         4   0.00000000e+000

  The U matrix:

  Col         1             2             3             4       
  Row

    1  1.797693e+308-2.696540e+308 2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308 2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308 2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308 2.696540e+308-2.696540e+308

  The V matrix:

  Col         1             2             3             4       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

  The product U * S * Transpose(V):

  Col         1             2             3             4       
  Row

    1 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    2 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    3 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308
    4 -2.696540e+308-2.696540e+308-2.696540e+308-2.696540e+308

TQL1_TEST
  TQL1 computes the eigenvalues
  of a real symmetric tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    5  0.000000e+000 0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

  The eigenvalues Lambda:

         1  -2.69653970e+308
         2   2.69653970e+308
         3   2.69653970e+308
         4   2.69653970e+308
         5  -2.69653970e+308

TRIDIB_TEST
  TRIDIB computes some eigenvalues of 
  a real symmetric tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    5  0.000000e+000 0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

  The eigenvalues Lambda:

         1   2.67949192e-001
         2   1.00000000e+000
         3   2.00000000e+000
         4   3.00000000e+000
         5   3.73205081e+000

TSTURM_TEST
  TSTURM computes some eigenvalues and
  eigenvectors of a real symmetric 
  tridiagonal matrix.
  Matrix order =        5

  The matrix A:

  Col         1             2             3             4             5       
  Row

    1  2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
    2 -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
    3  0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
    4  0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
    5  0.000000e+000 0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000

TSTURM_TEST - Warning!
  The error return flag IERR =       22

EISPACK_TEST
  Normal end of execution.

rc= 0
** fftpack/fftpack4-test.f
0n  120 rfftf  1.918e-015 rfftb  5.684e-013 rfftfb 4.441e-016 sint   3.840e-015 sintfb 1.332e-015 cost   3.923e-015
        costfb 5.884e-015 sinqf  1.123e-012 sinqb  2.813e-015 sinqfb 5.551e-016 cosqf  2.546e-015 cosqb  4.382e-015
        cosqfb 5.551e-016 dezf   3.874e-015 dezb   2.998e-014 dezfb  3.553e-015 cfftf  6.809e-015 cfftb  9.234e-014
        cfftfb 8.951e-016
0n   54 rfftf  9.540e-016 rfftb  1.030e-013 rfftfb 4.996e-016 sint   8.175e-016 sintfb 1.554e-015 cost   9.704e-016
        costfb 1.076e-015 sinqf  7.527e-014 sinqb  1.118e-015 sinqfb 8.882e-016 cosqf  2.423e-016 cosqb  6.579e-016
        cosqfb 4.163e-016 dezf   1.776e-015 dezb   7.438e-015 dezfb  9.992e-016 cfftf  4.903e-015 cfftb  1.835e-014
        cfftfb 6.474e-016
0n   49 rfftf  1.174e-015 rfftb  1.050e-013 rfftfb 1.665e-015 sint   1.097e-015 sintfb 2.109e-015 cost   9.924e-016
        costfb 3.886e-015 sinqf  2.061e-013 sinqb  8.701e-016 sinqfb 1.887e-015 cosqf  9.788e-016 cosqb  7.318e-016
        cosqfb 1.998e-015 dezf   2.512e-015 dezb   1.110e-014 dezfb  2.776e-015 cfftf  1.006e-014 cfftb  3.220e-014
        cfftfb 8.083e-016
0n   32 rfftf  5.699e-016 rfftb  3.642e-014 rfftfb 3.331e-016 sint   1.221e-015 sintfb 4.718e-016 cost   1.277e-015
        costfb 6.661e-016 sinqf  4.574e-014 sinqb  6.106e-016 sinqfb 3.331e-016 cosqf  4.094e-016 cosqb  9.992e-016
        cosqfb 2.220e-016 dezf   1.141e-015 dezb   6.800e-015 dezfb  5.551e-016 cfftf  2.192e-015 cfftb  1.199e-014
        cfftfb 4.743e-016
0n    4 rfftf  0.000e+000 rfftb  4.441e-016 rfftfb 1.110e-016 sint   5.551e-017 sintfb 0.000e+000 cost   5.551e-017
        costfb 3.331e-016 sinqf  1.110e-015 sinqb  1.388e-016 sinqfb 1.665e-016 cosqf  2.776e-017 cosqb  2.776e-017
        cosqfb 1.110e-016 dezf   0.000e+000 dezb   1.110e-016 dezfb  5.551e-017 cfftf  2.220e-016 cfftb  3.331e-016
        cfftfb 1.110e-016
0n    3 rfftf  7.401e-017 rfftb  1.110e-016 rfftfb 2.220e-016 sint   3.701e-017 sintfb 1.110e-016 cost   1.665e-016
        costfb 2.220e-016 sinqf  6.661e-016 sinqb  1.665e-016 sinqfb 1.110e-016 cosqf  9.252e-017 cosqb  1.480e-016
        cosqfb 2.220e-016 dezf   2.220e-016 dezb   2.776e-016 dezfb  1.665e-016 cfftf  3.052e-016 cfftb  3.511e-016
        cfftfb 2.776e-017
0n    2 rfftf  0.000e+000 rfftb  0.000e+000 rfftfb 5.551e-017 sint   0.000e+000 sintfb 0.000e+000 cost   0.000e+000
        costfb 0.000e+000 sinqf  2.220e-016 sinqb  5.551e-017 sinqfb 1.110e-016 cosqf  1.388e-017 cosqb  2.776e-017
        cosqfb 1.110e-016 dezf   0.000e+000 dezb   0.000e+000 dezfb  5.551e-017 cfftf  1.570e-016 cfftb  1.570e-016
        cfftfb 1.110e-016
rc= 0
** fftpack/fftpack51d-test.f
 
fftpack5.1_test():
  FORTRAN77 version
  Test fftpack5.1().
 
TEST01
  For complex fast Fourier transforms, 1D,
  CFFT1I initializes the transform,
  CFFT1F does a forward transform;
  CFFT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1: -1.228468e-001  -1.871080e-002
         2:  7.792095e-001  -4.495924e-001
         3:  3.866674e-001   1.573881e-002
         4: -7.324502e-001   5.315492e-001
         5:  2.972862e-001   4.042642e-001
         6:  2.896339e-001  -7.521377e-001
         7:  1.715879e-001   6.820451e-001
         8:  5.642492e-001   4.017819e-001
  ........  ..............  ..............
      4096:  2.785087e-002   3.264577e-001
 
  The FFT coefficients:
 
         1: -7.791712e-004  -1.697665e-003
         2:  2.691706e-003   1.711167e-002
         3: -9.850163e-004  -5.571892e-003
         4:  7.834265e-003   4.724658e-003
         5: -1.286497e-002   1.580526e-003
         6:  1.313721e-003   2.002341e-002
         7:  1.241405e-002   1.976439e-003
         8:  1.075364e-003  -1.011861e-003
  ........  ..............  ..............
      4096: -6.116062e-003   5.464670e-003
 
  The retrieved data:
 
         1: -1.228467e-001  -1.871072e-002
         2:  7.792094e-001  -4.495923e-001
         3:  3.866674e-001   1.573879e-002
         4: -7.324501e-001   5.315491e-001
         5:  2.972862e-001   4.042642e-001
         6:  2.896339e-001  -7.521378e-001
         7:  1.715880e-001   6.820451e-001
         8:  5.642493e-001   4.017818e-001
  ........  ..............  ..............
      4096:  2.785084e-002   3.264576e-001
 
TEST02
  For complex fast Fourier transforms, 2D,
  CFFT2I initializes the transform,
  CFFT2F does a forward transform;
  CFFT2B does a backward transform.
 
  The data is stored in an L by M array, with
  L =   32
  M =   64
  Workspace size LENSAV =      211
 
  Part of the original data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.23e-001-1.87e-002-5.99e-001-5.35e-001-9.52e-001-3.29e-0027.241e-0012.293e-001
    2 7.792e-001-4.50e-0013.195e-0013.223e-002-1.80e-001-1.34e-0025.276e-0013.101e-002
    3 3.867e-0011.574e-002-9.68e-001-4.21e-002-2.23e-0017.492e-001-1.72e-0011.359e-001
    4 -7.32e-0015.315e-0018.065e-001-4.95e-0014.580e-001-5.18e-0026.202e-0016.435e-001
    5 2.973e-0014.043e-0018.024e-001-1.96e-0018.635e-0014.934e-001-5.74e-0011.719e-001
 
  Col:          5          
  Row
  ---
    1 -5.68e-003-7.49e-001
    2 -4.00e-0029.900e-001
    3 8.095e-0012.121e-001
    4 -8.47e-0027.332e-001
    5 3.779e-0014.886e-001
 
  Part of the FFT coefficients:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.17e-0027.040e-0033.606e-0039.515e-005-1.93e-002-4.41e-0032.804e-0025.250e-003
    2 1.547e-0021.397e-003-5.96e-0036.147e-0033.199e-003-1.33e-0039.904e-0031.175e-002
    3 9.261e-0036.592e-0031.391e-0025.865e-0031.205e-003-1.42e-003-8.49e-003-1.04e-003
    4 9.780e-0035.867e-003-2.20e-0031.145e-004-3.99e-0049.938e-003-2.88e-0037.857e-003
    5 -1.16e-0028.162e-003-6.04e-003-2.10e-002-2.44e-0024.868e-0039.960e-003-5.32e-003
 
  Col:          5          
  Row
  ---
    1 -5.81e-003-4.37e-003
    2 -3.79e-003-2.49e-002
    3 3.537e-003-9.19e-003
    4 -2.68e-0029.208e-003
    5 -1.43e-0038.370e-003
 
  Part of the retrieved data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.23e-001-1.87e-002-5.99e-001-5.35e-001-9.52e-001-3.29e-0027.241e-0012.293e-001
    2 7.792e-001-4.50e-0013.195e-0013.223e-002-1.80e-001-1.34e-0025.276e-0013.101e-002
    3 3.867e-0011.574e-002-9.68e-001-4.21e-002-2.23e-0017.492e-001-1.72e-0011.359e-001
    4 -7.32e-0015.315e-0018.065e-001-4.95e-0014.580e-001-5.18e-0026.202e-0016.435e-001
    5 2.973e-0014.043e-0018.024e-001-1.96e-0018.635e-0014.934e-001-5.74e-0011.719e-001
 
  Col:          5          
  Row
  ---
    1 -5.68e-003-7.49e-001
    2 -4.00e-0029.900e-001
    3 8.095e-0012.121e-001
    4 -8.47e-0027.332e-001
    5 3.779e-0014.886e-001
 
TEST03
  For complex fast Fourier transforms,
  1D, multiple
  CFFTMI initializes the transform,
  CFFTMF does a forward transform;
  CFFTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.23e-001-1.87e-002-5.99e-001-5.35e-001-9.52e-001-3.29e-0027.241e-0012.293e-001
    2 7.792e-001-4.50e-0013.195e-0013.223e-002-1.80e-001-1.34e-0025.276e-0013.101e-002
    3 3.867e-0011.574e-002-9.68e-001-4.21e-002-2.23e-0017.492e-001-1.72e-0011.359e-001
    4 -7.32e-0015.315e-0018.065e-001-4.95e-0014.580e-001-5.18e-0026.202e-0016.435e-001
    5 2.973e-0014.043e-0018.024e-001-1.96e-0018.635e-0014.934e-001-5.74e-0011.719e-001
 
  Col:          5          
  Row
  ---
    1 -5.68e-003-7.49e-001
    2 -4.00e-0029.900e-001
    3 8.095e-0012.121e-001
    4 -8.47e-0027.332e-001
    5 3.779e-0014.886e-001
 
  Part of the FFT coefficients:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.33e-0013.489e-002-1.03e-0015.821e-002-5.67e-0021.702e-0011.072e-001-2.09e-002
    2 2.731e-002-1.09e-001-5.13e-002-1.19e-001-7.12e-0022.090e-0027.512e-0021.010e-001
    3 -7.85e-002-7.28e-002-6.71e-002-1.15e-0015.246e-002-7.68e-0027.264e-0023.180e-003
    4 1.268e-0038.209e-0038.000e-0037.360e-002-8.45e-002-2.64e-0029.778e-0021.137e-001
    5 -6.01e-002-1.34e-001-1.45e-001-2.03e-002-5.52e-002-1.10e-001-8.39e-0027.648e-002
 
  Col:          5          
  Row
  ---
    1 2.441e-0021.705e-001
    2 2.241e-0011.331e-001
    3 1.757e-0011.374e-001
    4 -1.46e-001-9.57e-002
    5 -4.20e-002-4.52e-002
 
  Part of the retrieved data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.23e-001-1.87e-002-5.99e-001-5.35e-001-9.52e-001-3.29e-0027.241e-0012.293e-001
    2 7.792e-001-4.50e-0013.195e-0013.223e-002-1.80e-001-1.34e-0025.276e-0013.101e-002
    3 3.867e-0011.574e-002-9.68e-001-4.21e-002-2.23e-0017.492e-001-1.72e-0011.359e-001
    4 -7.32e-0015.315e-0018.065e-001-4.95e-0014.580e-001-5.18e-0026.202e-0016.435e-001
    5 2.973e-0014.043e-0018.024e-001-1.96e-0018.635e-0014.934e-001-5.74e-0011.719e-001
 
  Col:          5          
  Row
  ---
    1 -5.68e-003-7.49e-001
    2 -4.00e-0029.900e-001
    3 8.095e-0012.121e-001
    4 -8.47e-0027.332e-001
    5 3.779e-0014.886e-001
 
TEST04
  For real fast cosine transforms, 1D,
  COSQ1I initializes the transform,
  COSQ1F does a forward transform;
  COSQ1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  7.024575e+146
         2:  3.477365e+142
         3: -7.392556e+152
         4: -4.292572e-165
         5: -3.430856e-011
         6: -2.098565e+003
         7: -2.695666e+157
         8: -2.709769e-168
  ........  ..............
      4096:  1.527900e-004
 
  The retrieved data:
 
         1:  1.404448e+306
         2:  1.404448e+306
         3:  1.404449e+306
         4:  0.000000e+000
         5:  2.926462e-307
         6:  0.000000e+000
         7:  0.000000e+000
         8:  0.000000e+000
  ........  ..............
      4096:  1.527900e-004
 
TEST05
  For real fast cosine transforms, 
  1D, multiple
  COSQMI initializes the transform,
  COSQMF does a forward transform;
  COSQMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  2.790696e+146-2.077526e+141-4.619823e+133 1.105009e-003 2.836338e-002
    2  7.934671e+000 6.034725e+000 8.410224e+000 1.878073e-002 3.159410e-002
    3 -2.871290e+003-1.899664e+157 9.178306e-152-2.268613e-002-2.036026e-003
    4  1.061100e+155 9.570987e+154 1.187286e+155 3.584853e-002 3.198671e-002
    5  2.506156e-014-2.799043e-154-2.029454e-014-6.296487e-003-3.819203e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.404448e+306 1.404448e+306 1.404448e+306 1.105009e-003 2.836338e-002
    2  1.052271e+003 1.021734e+003 1.193037e+003 9.390363e-003 1.579705e-002
    3  0.000000e+000 0.000000e+000 0.000000e+000 1.134307e-002 1.018013e-003
    4 -2.247118e+307-2.247118e+307-2.247117e+307 1.792427e-002 1.599336e-002
    5  0.000000e+000 2.921296e-306 0.000000e+000 3.148244e-003 1.909602e-002
 
TEST06
  For real fast cosine transforms, 1D,
  COST1I initializes the transform,
  COST1F does a forward transform;
  COST1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  4.968322e-001
         2: -8.211929e-003
         3: -1.519711e-004
         4: -6.790636e-003
         5:  1.035867e-002
         6: -1.457587e-002
         7:  1.041602e-003
         8: -1.477348e-002
  ........  ..............
      4096:  2.255165e-003
 
  The retrieved data:
 
         1:  1.521368e-002
         2:  5.242244e-001
         3:  8.093299e-001
         4:  9.166969e-001
         5:  1.497710e-001
         6:  6.490900e-003
         7:  8.190183e-001
         8:  4.000844e-001
  ........  ..............
      4096:  6.260475e-001
 
TEST07
  For real fast cosine transforms, 
  1D, multiple
  COSTMI initializes the transform,
  COSTMF does a forward transform;
  COSTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  4.335204e-001 4.763915e-001 4.605430e-001 4.467144e-001 4.587907e-001
    2  1.117409e-002-4.038638e-002 1.273646e-001-3.217935e-002-3.669486e-002
    3  4.938783e-002 1.211189e-001 1.236721e-002-4.771496e-002 6.454659e-002
    4  2.167185e-002-4.442693e-002-1.240381e-001-3.456980e-002 4.767627e-002
    5 -2.023005e-002-8.991857e-002-7.754773e-002-5.668926e-002-7.682096e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544257e-002 8.197565e-001 6.448872e-001 3.535950e-002 9.076270e-001
    2  5.240556e-001 6.474858e-001 6.159999e-001 3.004923e-001 5.055057e-001
    3  8.093004e-001 2.895579e-001 1.031129e-001 3.629779e-001 3.257694e-002
    4  9.167090e-001 6.061280e-001 1.600235e-002 5.735762e-001 5.117870e-001
    5  1.497603e-001 1.958945e-001 9.388641e-001 1.007442e-001 6.110725e-001
 
TEST08
  For real fast Fourier transforms, 1D,
  RFFT1I initializes the transform,
  RFFT1F does a forward transform;
  RFFT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     4112
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  4.967891e-001
         2: -2.365448e-004
         3: -5.004897e-004
         4:  1.027492e-002
         5:  3.746790e-003
         6:  9.383352e-004
         7: -3.061651e-003
         8: -3.086756e-003
  ........  ..............
      4096:  2.180223e-003
 
  The retrieved data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474623e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
TEST09
  For real fast Fourier transforms, 2D,
  RFFT2I initializes the transform,
  RFFT2F does a forward transform;
  RFFT2B does a backward transform.
 
  The L by M data is stored in an 
  LDIM by M array, with
  L =   32
  LDIM =   34
  M =   64
  Workspace size LENSAV =      253
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 2.895583e-001 9.388652e-001 6.700090e-001 9.890571e-001
    2  5.240560e-001 6.061282e-001 5.069254e-001 8.405598e-001 8.261553e-002
    3  8.093007e-001 1.958944e-001 8.950980e-001 2.895148e-001 5.192075e-001
    4  9.167103e-001 3.978888e-001 9.124581e-001 8.749418e-001 3.207761e-001
    5  1.497594e-001 3.167617e-001 6.823919e-001 1.464994e-001 2.842876e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  4.935200e-001 1.790724e-003-9.245379e-004-7.069174e-003 2.341063e-003
    2 -1.620305e-001-9.741977e-002-1.866084e-001 7.509927e-002 9.536813e-002
    3 -4.805362e-002-2.273623e-002-2.286220e-001-2.121189e-001-1.555431e-001
    4 -1.865061e-002-4.647318e-002-8.896423e-002-7.769167e-004-1.366722e-002
    5  2.850935e-002 4.841077e-002 1.716703e-002-7.151920e-002 1.286686e-001
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  2.482579e+001-2.677318e+001 4.896669e+000-2.017467e+000 1.689149e+001
    2 -5.211763e+000-2.272017e+001 2.296276e+001 1.689523e+000 1.033316e+001
    3  2.561965e+001-2.670032e+001 4.663841e+000-2.017113e+000 1.593252e+001
    4 -5.407808e+000-2.325503e+001 2.542646e+001 1.601120e+000 1.109495e+001
    5  2.496011e+001-2.643828e+001 4.290855e+000-1.837258e+000 1.528294e+001
 
TEST10
  For real fast Fourier transforms, 
  1D, multiple
  RFFTMI initializes the transform,
  RFFTMF does a forward transform;
  RFFTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       41
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  4.329756e-001 4.813754e-001 4.581277e-001 4.386824e-001 4.658699e-001
    2  4.496567e-002 1.210363e-001 2.134641e-002-6.390878e-002 6.988679e-002
    3 -7.051200e-003-3.860676e-002 1.626172e-001-6.370456e-003-5.371577e-002
    4 -2.275003e-002-9.756715e-002-8.987674e-002-7.511895e-002-4.663404e-002
    5  1.020670e-002-7.367038e-002-3.790945e-002-2.663925e-002 7.467188e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031128e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600159e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
TEST11
  For real fast sine transforms, 1D,
  SINQ1I initializes the transform,
  SINQ1F does a forward transform;
  SINQ1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  2.058680e+138
         2:  3.564015e+146
         3: -8.091036e+152
         4: -6.784052e+143
         5: -2.255603e+003
         6: -8.040325e-011
         7: -2.475737e+157
         8: -1.476604e-162
  ........  ..............
      4096: -3.769880e-006
 
  The retrieved data:
 
         1:  3.769880e-006
         2:  1.279434e-004
         3:  1.975832e-004
         4:  2.238062e-004
         5:  3.656236e-005
         6:  1.580719e-006
         7:  1.999580e-004
         8:  9.767734e-005
  ........  ..............
      4096:  1.797693e+308
 
TEST12
  For real fast sine transforms, 1D, multiple
  SINQMI initializes the transform,
  SINQMF does a forward transform;
  SINQMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.013772e+157-7.855971e+146 5.876501e+143 1.075056e-002 1.446940e-002
    2 -1.758075e+000-2.558595e+000-4.903875e+000-2.946073e-002-3.024582e-002
    3  2.690015e-012-1.781325e-151 1.391958e+142-2.962855e-002-5.772700e-002
    4 -1.034740e+159-1.211577e+155-6.914336e+154-1.682610e-003-1.930878e-004
    5  2.700469e+140-4.486440e-150 1.917171e+003-2.503803e-002-3.425285e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.404448e+306 1.404448e+306 1.404448e+306 1.105009e-003 2.836338e-002
    2  1.052271e+003 7.724445e+002 1.076508e+003 9.390363e-003 1.579705e-002
    3  0.000000e+000 0.000000e+000 0.000000e+000 1.134307e-002 1.018013e-003
    4 -2.247118e+307-2.247118e+307-2.247117e+307 1.792427e-002 1.599336e-002
    5  4.008806e-306 2.921295e-306 0.000000e+000 3.148244e-003 1.909602e-002
 
TEST13
  For real fast sine transforms, 1D,
  SINT1I initializes the transform,
  SINT1F does a forward transform;
  SINT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     6160
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  6.317403e-001
         2: -5.066211e-004
         3:  2.049937e-001
         4:  3.745686e-003
         5:  1.333628e-001
         6: -3.089169e-003
         7:  9.499257e-002
         8: -8.871841e-003
  ........  ..............
      4096:  8.372152e-005
 
  The retrieved data:
 
         1:  1.793136e-002
         2:  5.241199e-001
         3:  8.103243e-001
         4:  9.166806e-001
         5:  1.503697e-001
         6:  6.458239e-003
         7:  8.194695e-001
         8:  4.000370e-001
  ........  ..............
      4096:  6.281352e-001
 
TEST14
  For real fast sine transforms, 1D, multiple
  SINTMI initializes the transform,
  SINTMF does a forward transform;
  SINTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       57
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  5.357711e-001 5.668813e-001 5.875102e-001 5.903182e-001 5.641288e-001
    2 -3.529250e-003-2.711475e-002 1.604908e-001-1.545561e-002-4.384141e-002
    3  2.320186e-001 3.273027e-001 2.372392e-001 1.753053e-001 2.695781e-001
    4  4.551533e-003-8.266398e-002-5.869332e-002-4.268725e-002 6.095848e-002
    5  9.918996e-002 4.960547e-002 6.792102e-002 7.029730e-002 4.640442e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544159e-002 8.197559e-001 6.448855e-001 3.535891e-002 9.076275e-001
    2  5.240559e-001 6.474858e-001 6.160001e-001 3.004923e-001 5.055059e-001
    3  8.093007e-001 2.895582e-001 1.031127e-001 3.629781e-001 3.257628e-002
    4  9.167101e-001 6.061284e-001 1.600206e-002 5.735768e-001 5.117877e-001
    5  1.497596e-001 1.958945e-001 9.388651e-001 1.007436e-001 6.110725e-001
 
fftpack5.1_test():
  Normal end of execution.
 
rc= 0
** fftpack/fftpack51s-test.f
 
fftpack5.1_test():
  FORTRAN77 version
  Test fftpack5.1().
 
TEST01
  For complex fast Fourier transforms, 1D,
  CFFT1I initializes the transform,
  CFFT1F does a forward transform;
  CFFT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1: -1.228468e-001  -1.871080e-002
         2:  7.792096e-001  -4.495922e-001
         3:  3.866674e-001   1.573881e-002
         4: -7.324502e-001   5.315491e-001
         5:  2.972862e-001   4.042642e-001
         6:  2.896340e-001  -7.521377e-001
         7:  1.715879e-001   6.820450e-001
         8:  5.642492e-001   4.017819e-001
  ........  ..............  ..............
      4096:  2.785089e-002   3.264577e-001
 
  The FFT coefficients:
 
         1: -7.791712e-004  -1.697664e-003
         2:  2.691709e-003   1.711167e-002
         3: -9.850166e-004  -5.571892e-003
         4:  7.834265e-003   4.724660e-003
         5: -1.286497e-002   1.580526e-003
         6:  1.313720e-003   2.002341e-002
         7:  1.241405e-002   1.976440e-003
         8:  1.075365e-003  -1.011860e-003
  ........  ..............  ..............
      4096: -6.116061e-003   5.464671e-003
 
  The retrieved data:
 
         1: -1.228467e-001  -1.871076e-002
         2:  7.792096e-001  -4.495921e-001
         3:  3.866673e-001   1.573879e-002
         4: -7.324501e-001   5.315492e-001
         5:  2.972864e-001   4.042642e-001
         6:  2.896340e-001  -7.521375e-001
         7:  1.715879e-001   6.820452e-001
         8:  5.642493e-001   4.017818e-001
  ........  ..............  ..............
      4096:  2.785084e-002   3.264576e-001
 
TEST02
  For complex fast Fourier transforms, 2D,
  CFFT2I initializes the transform,
  CFFT2F does a forward transform;
  CFFT2B does a backward transform.
 
  The data is stored in an L by M array, with
  L =   32
  M =   64
  Workspace size LENSAV =      211
 
  Part of the original data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.23e-001-1.87e-002-5.99e-001-5.35e-001-9.52e-001-3.29e-0027.241e-0012.293e-001
    2 7.792e-001-4.50e-0013.195e-0013.223e-002-1.80e-001-1.34e-0025.276e-0013.101e-002
    3 3.867e-0011.574e-002-9.68e-001-4.21e-002-2.23e-0017.492e-001-1.72e-0011.359e-001
    4 -7.32e-0015.315e-0018.065e-001-4.95e-0014.580e-001-5.18e-0026.202e-0016.435e-001
    5 2.973e-0014.043e-0018.024e-001-1.96e-0018.635e-0014.934e-001-5.74e-0011.719e-001
 
  Col:          5          
  Row
  ---
    1 -5.68e-003-7.49e-001
    2 -4.00e-0029.900e-001
    3 8.095e-0012.121e-001
    4 -8.47e-0027.332e-001
    5 3.779e-0014.886e-001
 
  Part of the FFT coefficients:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.17e-0027.040e-0033.606e-0039.515e-005-1.93e-002-4.41e-0032.804e-0025.250e-003
    2 1.547e-0021.397e-003-5.96e-0036.147e-0033.199e-003-1.33e-0039.904e-0031.175e-002
    3 9.261e-0036.592e-0031.391e-0025.865e-0031.205e-003-1.42e-003-8.49e-003-1.04e-003
    4 9.780e-0035.867e-003-2.20e-0031.145e-004-3.99e-0049.938e-003-2.88e-0037.857e-003
    5 -1.16e-0028.162e-003-6.04e-003-2.10e-002-2.44e-0024.868e-0039.960e-003-5.32e-003
 
  Col:          5          
  Row
  ---
    1 -5.81e-003-4.37e-003
    2 -3.79e-003-2.49e-002
    3 3.537e-003-9.19e-003
    4 -2.68e-0029.208e-003
    5 -1.43e-0038.370e-003
 
  Part of the retrieved data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.23e-001-1.87e-002-5.99e-001-5.35e-001-9.52e-001-3.29e-0027.241e-0012.293e-001
    2 7.792e-001-4.50e-0013.195e-0013.223e-002-1.80e-001-1.34e-0025.276e-0013.101e-002
    3 3.867e-0011.574e-002-9.68e-001-4.21e-002-2.23e-0017.492e-001-1.72e-0011.359e-001
    4 -7.32e-0015.315e-0018.065e-001-4.95e-0014.580e-001-5.18e-0026.202e-0016.435e-001
    5 2.973e-0014.043e-0018.024e-001-1.96e-0018.635e-0014.934e-001-5.74e-0011.719e-001
 
  Col:          5          
  Row
  ---
    1 -5.68e-003-7.49e-001
    2 -4.00e-0029.900e-001
    3 8.095e-0012.121e-001
    4 -8.47e-0027.332e-001
    5 3.779e-0014.886e-001
 
TEST03
  For complex fast Fourier transforms,
  1D, multiple
  CFFTMI initializes the transform,
  CFFTMF does a forward transform;
  CFFTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.23e-001-1.87e-002-5.99e-001-5.35e-001-9.52e-001-3.29e-0027.241e-0012.293e-001
    2 7.792e-001-4.50e-0013.195e-0013.223e-002-1.80e-001-1.34e-0025.276e-0013.101e-002
    3 3.867e-0011.574e-002-9.68e-001-4.21e-002-2.23e-0017.492e-001-1.72e-0011.359e-001
    4 -7.32e-0015.315e-0018.065e-001-4.95e-0014.580e-001-5.18e-0026.202e-0016.435e-001
    5 2.973e-0014.043e-0018.024e-001-1.96e-0018.635e-0014.934e-001-5.74e-0011.719e-001
 
  Col:          5          
  Row
  ---
    1 -5.68e-003-7.49e-001
    2 -4.00e-0029.900e-001
    3 8.095e-0012.121e-001
    4 -8.47e-0027.332e-001
    5 3.779e-0014.886e-001
 
  Part of the FFT coefficients:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.33e-0013.489e-002-1.03e-0015.821e-002-5.67e-0021.702e-0011.072e-001-2.09e-002
    2 2.731e-002-1.09e-001-5.13e-002-1.19e-001-7.12e-0022.090e-0027.512e-0021.010e-001
    3 -7.85e-002-7.28e-002-6.71e-002-1.15e-0015.246e-002-7.68e-0027.264e-0023.180e-003
    4 1.268e-0038.209e-0038.000e-0037.360e-002-8.45e-002-2.64e-0029.778e-0021.137e-001
    5 -6.01e-002-1.34e-001-1.45e-001-2.03e-002-5.52e-002-1.10e-001-8.39e-0027.648e-002
 
  Col:          5          
  Row
  ---
    1 2.441e-0021.705e-001
    2 2.241e-0011.331e-001
    3 1.757e-0011.374e-001
    4 -1.46e-001-9.57e-002
    5 -4.20e-002-4.52e-002
 
  Part of the retrieved data:
 
  Col:          1                   2                   3                   4          
  Row
  ---
    1 -1.23e-001-1.87e-002-5.99e-001-5.35e-001-9.52e-001-3.29e-0027.241e-0012.293e-001
    2 7.792e-001-4.50e-0013.195e-0013.223e-002-1.80e-001-1.34e-0025.276e-0013.101e-002
    3 3.867e-0011.574e-002-9.68e-001-4.21e-002-2.23e-0017.492e-001-1.72e-0011.359e-001
    4 -7.32e-0015.315e-0018.065e-001-4.95e-0014.580e-001-5.18e-0026.202e-0016.435e-001
    5 2.973e-0014.043e-0018.024e-001-1.96e-0018.635e-0014.934e-001-5.74e-0011.719e-001
 
  Col:          5          
  Row
  ---
    1 -5.68e-003-7.49e-001
    2 -4.00e-0029.900e-001
    3 8.095e-0012.121e-001
    4 -8.47e-0027.332e-001
    5 3.779e-0014.886e-001
 
TEST04
  For real fast cosine transforms, 1D,
  COSQ1I initializes the transform,
  COSQ1F does a forward transform;
  COSQ1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  6.283191e-001
         2: -2.144524e-001
         3:  1.211894e-001
         4: -8.655626e-002
         5:  6.924143e-002
         6: -6.774490e-002
         7:  4.607677e-002
         8: -5.603608e-002
  ........  ..............
      4096:  2.900243e-003
 
  The retrieved data:
 
         1:  1.544136e-002
         2:  5.240560e-001
         3:  8.093008e-001
         4:  9.167103e-001
         5:  1.497593e-001
         6:  6.474644e-003
         7:  8.190278e-001
         8:  4.000865e-001
  ........  ..............
      4096:  6.258276e-001
 
TEST05
  For real fast cosine transforms, 
  1D, multiple
  COSQMI initializes the transform,
  COSQMF does a forward transform;
  COSQMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  5.540786e-001 5.818251e-001 6.323565e-001 5.601194e-001 5.663158e-001
    2 -1.576761e-001-1.789256e-001-7.725947e-002-2.375673e-001-1.999137e-001
    3  1.615073e-001 2.225275e-001 4.306407e-002 8.008134e-002 2.014770e-001
    4 -8.714887e-002-2.063382e-001-1.953692e-001-1.304874e-001-8.502726e-002
    5  6.079677e-002 5.127163e-002 1.652646e-002 3.175736e-002-4.386165e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544142e-002 8.197564e-001 6.448871e-001 3.536025e-002 9.076282e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031128e-001 3.629782e-001 3.257643e-002
    4  9.167103e-001 6.061281e-001 1.600161e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388653e-001 1.007438e-001 6.110725e-001
 
TEST06
  For real fast cosine transforms, 1D,
  COST1I initializes the transform,
  COST1F does a forward transform;
  COST1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  4.968322e-001
         2: -8.211929e-003
         3: -1.519712e-004
         4: -6.790634e-003
         5:  1.035867e-002
         6: -1.457587e-002
         7:  1.041600e-003
         8: -1.477348e-002
  ........  ..............
      4096:  2.255148e-003
 
  The retrieved data:
 
         1:  1.520580e-002
         2:  5.242286e-001
         3:  8.093255e-001
         4:  9.167063e-001
         5:  1.497719e-001
         6:  6.497049e-003
         7:  8.190184e-001
         8:  4.000898e-001
  ........  ..............
      4096:  6.260560e-001
 
TEST07
  For real fast cosine transforms, 
  1D, multiple
  COSTMI initializes the transform,
  COSTMF does a forward transform;
  COSTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  4.335204e-001 4.763915e-001 4.605430e-001 4.467144e-001 4.587907e-001
    2  1.117409e-002-4.038638e-002 1.273646e-001-3.217935e-002-3.669485e-002
    3  4.938782e-002 1.211188e-001 1.236724e-002-4.771493e-002 6.454661e-002
    4  2.167184e-002-4.442693e-002-1.240381e-001-3.456980e-002 4.767627e-002
    5 -2.023006e-002-8.991856e-002-7.754772e-002-5.668927e-002-7.682097e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544271e-002 8.197564e-001 6.448873e-001 3.535907e-002 9.076269e-001
    2  5.240555e-001 6.474857e-001 6.159998e-001 3.004925e-001 5.055057e-001
    3  8.093002e-001 2.895578e-001 1.031129e-001 3.629780e-001 3.257702e-002
    4  9.167089e-001 6.061280e-001 1.600244e-002 5.735763e-001 5.117871e-001
    5  1.497603e-001 1.958944e-001 9.388641e-001 1.007443e-001 6.110725e-001
 
TEST08
  For real fast Fourier transforms, 1D,
  RFFT1I initializes the transform,
  RFFT1F does a forward transform;
  RFFT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     4112
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  4.967891e-001
         2: -2.365452e-004
         3: -5.004896e-004
         4:  1.027492e-002
         5:  3.746789e-003
         6:  9.383352e-004
         7: -3.061651e-003
         8: -3.086757e-003
  ........  ..............
      4096:  2.180234e-003
 
  The retrieved data:
 
         1:  1.544139e-002
         2:  5.240561e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474763e-003
         7:  8.190277e-001
         8:  4.000863e-001
  ........  ..............
      4096:  6.258278e-001
 
TEST09
  For real fast Fourier transforms, 2D,
  RFFT2I initializes the transform,
  RFFT2F does a forward transform;
  RFFT2B does a backward transform.
 
  The L by M data is stored in an 
  LDIM by M array, with
  L =   32
  LDIM =   34
  M =   64
  Workspace size LENSAV =      253
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 2.895583e-001 9.388652e-001 6.700090e-001 9.890571e-001
    2  5.240560e-001 6.061282e-001 5.069254e-001 8.405598e-001 8.261553e-002
    3  8.093007e-001 1.958944e-001 8.950980e-001 2.895148e-001 5.192075e-001
    4  9.167103e-001 3.978888e-001 9.124581e-001 8.749418e-001 3.207761e-001
    5  1.497594e-001 3.167617e-001 6.823919e-001 1.464994e-001 2.842876e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  4.935200e-001 1.790725e-003-9.245388e-004-7.069176e-003 2.341063e-003
    2  6.959524e-004 8.439255e-003 9.581808e-004-4.028394e-003 3.711266e-003
    3  2.152503e-003-1.197615e-003-3.712994e-003 9.641644e-003-1.458950e-003
    4 -4.563855e-003-4.213371e-003-5.222340e-004-3.661542e-003-3.340445e-004
    5 -6.058487e-003 1.520342e-003-6.975897e-003-4.932304e-003-2.691143e-003
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 2.895582e-001 9.388652e-001 6.700090e-001 9.890569e-001
    2  5.240560e-001 6.061282e-001 5.069255e-001 8.405598e-001 8.261558e-002
    3  8.093007e-001 1.958945e-001 8.950980e-001 2.895148e-001 5.192077e-001
    4  9.167102e-001 3.978887e-001 9.124581e-001 8.749417e-001 3.207762e-001
    5  1.497594e-001 3.167617e-001 6.823920e-001 1.464994e-001 2.842877e-001
 
TEST10
  For real fast Fourier transforms, 
  1D, multiple
  RFFTMI initializes the transform,
  RFFTMF does a forward transform;
  RFFTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       41
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  4.329756e-001 4.813754e-001 4.581277e-001 4.386824e-001 4.658699e-001
    2  4.496567e-002 1.210363e-001 2.134641e-002-6.390879e-002 6.988679e-002
    3 -7.051200e-003-3.860677e-002 1.626172e-001-6.370464e-003-5.371577e-002
    4 -2.275003e-002-9.756715e-002-8.987675e-002-7.511894e-002-4.663404e-002
    5  1.020670e-002-7.367036e-002-3.790945e-002-2.663924e-002 7.467189e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197564e-001 6.448870e-001 3.536031e-002 9.076282e-001
    2  5.240561e-001 6.474855e-001 6.159995e-001 3.004917e-001 5.055056e-001
    3  8.093007e-001 2.895582e-001 1.031128e-001 3.629782e-001 3.257647e-002
    4  9.167101e-001 6.061282e-001 1.600161e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110726e-001
 
TEST11
  For real fast sine transforms, 1D,
  SINQ1I initializes the transform,
  SINQ1F does a forward transform;
  SINQ1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     8208
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  6.364450e-001
         2:  2.059502e-001
         3:  1.281620e-001
         4:  8.166932e-002
         5:  8.499397e-002
         6:  5.128791e-002
         7:  5.646404e-002
         8:  3.412773e-002
  ........  ..............
      4096:  1.702070e-003
 
  The retrieved data:
 
         1:  1.544140e-002
         2:  5.240561e-001
         3:  8.093007e-001
         4:  9.167102e-001
         5:  1.497593e-001
         6:  6.474555e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258277e-001
 
TEST12
  For real fast sine transforms, 1D, multiple
  SINQMI initializes the transform,
  SINQMF does a forward transform;
  SINQMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       73
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  5.428283e-001 6.139966e-001 5.412783e-001 5.872421e-001 5.933256e-001
    2  1.665033e-001 1.184914e-001 3.117507e-001 1.941236e-001 1.345627e-001
    3  1.414538e-001 2.252971e-001 2.330005e-001 9.094972e-002 1.468857e-001
    4  1.127655e-001 9.486061e-002 4.808269e-002 6.044733e-002 1.707481e-001
    5  3.993892e-002-4.783202e-002-7.765722e-004-1.361493e-003 4.974616e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544145e-002 8.197564e-001 6.448870e-001 3.536028e-002 9.076280e-001
    2  5.240560e-001 6.474854e-001 6.159993e-001 3.004916e-001 5.055057e-001
    3  8.093005e-001 2.895584e-001 1.031128e-001 3.629781e-001 3.257650e-002
    4  9.167103e-001 6.061282e-001 1.600167e-002 5.735766e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
TEST13
  For real fast sine transforms, 1D,
  SINT1I initializes the transform,
  SINT1F does a forward transform;
  SINT1B does a backward transform.
 
  The number of data items is N = 4096
  Workspace size LENSAV =     6160
 
  The original data:
 
         1:  1.544143e-002
         2:  5.240560e-001
         3:  8.093007e-001
         4:  9.167103e-001
         5:  1.497594e-001
         6:  6.474625e-003
         7:  8.190278e-001
         8:  4.000864e-001
  ........  ..............
      4096:  6.258278e-001
 
  The FFT coefficients:
 
         1:  6.317403e-001
         2: -5.066197e-004
         3:  2.049938e-001
         4:  3.745687e-003
         5:  1.333629e-001
         6: -3.089169e-003
         7:  9.499264e-002
         8: -8.871840e-003
  ........  ..............
      4096:  8.371943e-005
 
  The retrieved data:
 
         1:  1.809035e-002
         2:  5.240801e-001
         3:  8.103785e-001
         4:  9.166436e-001
         5:  1.504108e-001
         6:  6.444123e-003
         7:  8.194957e-001
         8:  4.000176e-001
  ........  ..............
      4096:  6.282941e-001
 
TEST14
  For real fast sine transforms, 1D, multiple
  SINTMI initializes the transform,
  SINTMF does a forward transform;
  SINTMB does a backward transform.
 
  The number of sequences is LOT =    6
  The length of each sequence is N =   32
  Workspace size LENSAV =       57
 
  Part of the original data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544143e-002 8.197565e-001 6.448870e-001 3.536030e-002 9.076281e-001
    2  5.240560e-001 6.474856e-001 6.159995e-001 3.004916e-001 5.055056e-001
    3  8.093007e-001 2.895583e-001 1.031127e-001 3.629781e-001 3.257641e-002
    4  9.167103e-001 6.061282e-001 1.600160e-002 5.735765e-001 5.117874e-001
    5  1.497594e-001 1.958944e-001 9.388652e-001 1.007438e-001 6.110725e-001
 
  Part of the FFT coefficients:
 
  Col         1             2             3             4             5       
  Row
 
    1  5.357711e-001 5.668813e-001 5.875101e-001 5.903182e-001 5.641288e-001
    2 -3.529247e-003-2.711476e-002 1.604908e-001-1.545561e-002-4.384141e-002
    3  2.320186e-001 3.273026e-001 2.372392e-001 1.753052e-001 2.695781e-001
    4  4.551541e-003-8.266398e-002-5.869333e-002-4.268726e-002 6.095848e-002
    5  9.918995e-002 4.960541e-002 6.792098e-002 7.029728e-002 4.640442e-002
 
  Part of the retrieved data:
 
  Col         1             2             3             4             5       
  Row
 
    1  1.544097e-002 8.197551e-001 6.448851e-001 3.535859e-002 9.076275e-001
    2  5.240562e-001 6.474859e-001 6.160002e-001 3.004925e-001 5.055059e-001
    3  8.093007e-001 2.895580e-001 1.031125e-001 3.629779e-001 3.257638e-002
    4  9.167102e-001 6.061284e-001 1.600214e-002 5.735769e-001 5.117876e-001
    5  1.497595e-001 1.958944e-001 9.388649e-001 1.007436e-001 6.110725e-001
 
fftpack5.1_test():
  Normal end of execution.
 
rc= 0
** lapack/dgesdd-test.f
a: 4x5 matrix
1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 2.000000e+000 
0.000000e+000 0.000000e+000 3.000000e+000 0.000000e+000 0.000000e+000 
0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 
0.000000e+000 2.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 
s: 4x1 matrix
3.000000e+000 
2.236068e+000 
2.000000e+000 
0.000000e+000 
U: 4x4 matrix
0.000000e+000 1.000000e+000 0.000000e+000 0.000000e+000 
1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 
0.000000e+000 0.000000e+000 0.000000e+000 -1.000000e+000 
0.000000e+000 0.000000e+000 1.000000e+000 0.000000e+000 
S: 4x5 matrix
3.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 
0.000000e+000 2.236068e+000 0.000000e+000 0.000000e+000 0.000000e+000 
0.000000e+000 0.000000e+000 2.000000e+000 0.000000e+000 0.000000e+000 
0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 
V^T: 5x5 matrix
0.000000e+000 0.000000e+000 1.000000e+000 0.000000e+000 0.000000e+000 
4.472136e-001 0.000000e+000 0.000000e+000 0.000000e+000 8.944272e-001 
0.000000e+000 1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 
0.000000e+000 0.000000e+000 0.000000e+000 1.000000e+000 0.000000e+000 
-8.944272e-001 0.000000e+000 0.000000e+000 0.000000e+000 4.472136e-001 
UU^T: 4x4 matrix
1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 
0.000000e+000 1.000000e+000 0.000000e+000 0.000000e+000 
0.000000e+000 0.000000e+000 1.000000e+000 0.000000e+000 
0.000000e+000 0.000000e+000 0.000000e+000 1.000000e+000 
VV^T: 5x5 matrix
1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 
0.000000e+000 1.000000e+000 0.000000e+000 0.000000e+000 2.220446e-016 
0.000000e+000 0.000000e+000 1.000000e+000 0.000000e+000 0.000000e+000 
0.000000e+000 0.000000e+000 0.000000e+000 1.000000e+000 0.000000e+000 
0.000000e+000 2.220446e-016 0.000000e+000 0.000000e+000 1.000000e+000 
USV^T: 4x5 matrix
1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 2.000000e+000 
0.000000e+000 0.000000e+000 3.000000e+000 0.000000e+000 0.000000e+000 
0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 
0.000000e+000 2.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 
rc= 0
** lapack/pinv1.f
A: 2x3 matrix
2.000000e+000 -1.000000e+000 0.000000e+000 
4.000000e+000 3.000000e+000 -2.000000e+000 
s: 2x1 matrix
5.477226e+000 
2.000000e+000 
U: 2x2 matrix
1.961161e-001 9.805807e-001 
9.805807e-001 -1.961161e-001 
S: 2x3 matrix
5.477226e+000 0.000000e+000 0.000000e+000 
0.000000e+000 2.000000e+000 0.000000e+000 
V^T: 3x3 matrix
7.877263e-001 5.012804e-001 -3.580574e-001 
5.883484e-001 -7.844645e-001 1.961161e-001 
1.825742e-001 3.651484e-001 9.128709e-001 
UU^T: 2x2 matrix
1.000000e+000 1.110223e-016 
1.110223e-016 1.000000e+000 
VV^T: 3x3 matrix
1.000000e+000 -1.526557e-016 5.551115e-017 
-1.526557e-016 1.000000e+000 0.000000e+000 
5.551115e-017 0.000000e+000 1.000000e+000 
USV^T: 2x3 matrix
2.000000e+000 -1.000000e+000 -3.885781e-016 
4.000000e+000 3.000000e+000 -2.000000e+000 
S+: 3x2 matrix
1.825742e-001 0.000000e+000 
0.000000e+000 5.000000e-001 
0.000000e+000 0.000000e+000 
VS+: 3x2 matrix
1.438185e-001 2.941742e-001 
9.152086e-002 -3.922323e-001 
-6.537204e-002 9.805807e-002 
U: 2x2 matrix
1.961161e-001 9.805807e-001 
9.805807e-001 -1.961161e-001 
A+: 3x2 matrix
3.166667e-001 8.333334e-002 
-3.666667e-001 1.666667e-001 
8.333334e-002 -8.333334e-002 
AA+: 2x2 matrix
1.000000e+000 4.625929e-018 
-6.661338e-016 1.000000e+000 
rc= 0
** linpack/benchmark-1.f
 
  the linpack benchmark.
  language: fortran77
  datatype: double precision
  matrix order n =                   1000
  leading matrix dimension lda =     1001
     norm. resid      resid           machep         x(1)          x(n)
 6.49150133e+000 7.20701276e-013 2.22044605e-016 1.00000000e+000 1.00000000e+000
      factor     solve      total     mflops       unit      ratio
 1.650e-001 6.740e-004 1.656e-001 4.037e+003 4.954e-004 2.958e+000
rc= 0
** linpack/benchmark-2.f
 
  the linpack benchmark.
  language: fortran77
  datatype: double precision
  matrix order n =                   1000
  leading matrix dimension lda =     1001
     norm. resid      resid           machep         x(1)          x(n)
 6.49150133e+000 7.20701276e-013 2.22044605e-016 1.00000000e+000 1.00000000e+000
      factor     solve      total     mflops       unit      ratio
 1.853e-001 7.970e-004 1.861e-001 3.593e+003 5.567e-004 3.323e+000
rc= 0
** linpack/benchmark-3.f
 
  the linpack benchmark.
  language: fortran77
  datatype: double precision
  matrix order n =                   1000
  leading matrix dimension lda =     1001
2.220446049250313e-016
2.220446049250313e-016
     norm. resid      resid           machep         x(1)          x(n)
 6.49150133e+000 7.20701276e-013 2.22044605e-016 1.00000000e+000 1.00000000e+000
      factor     solve      total     mflops       unit      ratio
 1.589e-001 6.820e-004 1.596e-001 4.190e+003 4.774e-004 2.850e+000
rc= 0
** linpack/b-linpack-c-test.f
 
linpack_c_test():
  FORTRAN77 version
  Test linpack_c().
 
TEST01
  For a complex Hermitian 
  positive definite matrix,
  CCHDC computes the Cholesky decomposition.
 
  The number of equations is N =        3
 
  The matrix A:
 
      2.5281    0.0000    2.1341   -0.2147    2.4187    0.2932
      2.1341    0.2147    3.0371    0.0000    2.0905    1.1505
      2.4187   -0.2932    2.0905   -1.1505    2.7638    0.0000
 
  Decompose the matrix.
 
  The Cholesky factor U:
 
      1.5900    0.0000    1.3422   -0.1350    1.5212    0.1844
      0.0000    0.0000    1.1033    0.0000    0.0668    0.6322
      0.0000    0.0000    0.0000    0.0000    0.1076    0.0000
 
  The product U^H * U: 
 
      2.5281    0.0000    2.1341   -0.2147    2.4187    0.2932
      2.1341    0.2147    3.0371    0.0000    2.0905    1.1505
      2.4187   -0.2932    2.0905   -1.1505    2.7638    0.0000
 
TEST02
  For a complex Hermitian
  positive definite matrix,
  CCHEX can shift columns in a Cholesky factorization.
 
  The number of equations is N =        3
 
  The matrix A:
 
      2.5281    0.0000    2.1341   -0.2147    2.4187    0.2932
      2.1341    0.2147    3.0371    0.0000    2.0905    1.1505
      2.4187   -0.2932    2.0905   -1.1505    2.7638    0.0000
 
  The vector Z:
 
   1.000000e+000 0.000000e+000
   2.000000e+000 0.000000e+000
   3.000000e+000 0.000000e+000
 
  Decompose the matrix.
 
  The Cholesky factor U:
 
      1.5900    0.0000    1.3422   -0.1350    1.5212    0.1844
      0.0000    0.0000    1.1033    0.0000    0.0668    0.6322
      0.0000    0.0000    0.0000    0.0000    0.1076    0.0000
 
  Right circular shift columns K  =        1 through L =        3
 
  Left circular shift columns K+1 =        2 through L =        3
 
  The shifted Cholesky factor U:
 
      1.6504    0.2001    1.3316   -0.5357    1.4655    0.0000
      0.0000    0.0000    0.8500   -0.5045   -0.1357   -0.5905
      0.0000    0.0000    0.0000    0.0000   -0.1051   -0.0463
 
  The shifted vector Z:
 
   1.285653e+000-7.220654e-001
   1.472224e+000-3.939390e-001
   3.081927e+000 6.938028e-002
 
  The shifted product U' * U: 
 
      2.7638    0.0000    2.0905   -1.1505    2.4187   -0.2932
      2.0905    1.1505    3.0371    0.0000    2.1341    0.2147
      2.4187    0.2932    2.1341   -0.2147    2.5281    0.0000
 
TEST03
  For a complex Hermitian matrix
  CCHUD updates a Cholesky decomposition.
  CTRSL solves a triangular linear system.
 
  In this example, we use CCHUD to solve a
  least squares problem R * b = z.
 
  The number of equations is P =       20
 
  Solution vector #        1
  (Should be (1,1) (2,0), (3,1) (4,0) ...)
 
         1   9.999869e-001 9.999776e-001
         2   1.999992e+000-5.205196e-006
         3   3.000005e+000 1.000013e+000
         4   3.999973e+000-3.315191e-006
         5   4.999967e+000 9.999921e-001
  ......  ..............
        16   1.600002e+001-2.588254e-005
        17   1.699999e+001 1.000007e+000
        18   1.800003e+001 8.607409e-006
        19   1.900001e+001 9.999710e-001
        20   2.000001e+001 1.915754e-005
 
TEST04
  For a complex general band storage matrix:
  CGBCO factors the matrix and estimates the
  reciprocal condition number.
 
  The matrix order is N =      3
  The lower band is ML =       1
  The upper band is MU =       1
 
  The matrix A is 
 
  0.4499 -0.1267  0.5896  0.2601  0.0000  0.0000
 -0.8432 -0.3443  0.3911  0.3234 -0.2361  0.0775
  0.0000  0.0000 -0.1395 -0.1561  0.0186 -0.6332
 
  Estimated reciprocal condition RCOND =  3.217781e-001
 
TEST05
  For a complex general band storage matrix:
  CGBFA factors the matrix;
  CGBSL solves a factored linear system.
 
  The matrix order is N =      3
  The lower band is ML =       1
  The upper band is MU =       1
 
  The matrix A is 
 
  0.4499 -0.1267  0.5896  0.2601  0.0000  0.0000
 -0.8432 -0.3443  0.3911  0.3234 -0.2361  0.0775
  0.0000  0.0000 -0.1395 -0.1561  0.0186 -0.6332
 
  The right hand side B is 
 
 -0.1262  0.1961
 -1.2899 -0.1811
  0.2198 -0.2125
 
  Computed                     Exact
  Solution                     Solution
 
 8.928497e-001 1.031360e-002 8.928497e-001 1.031361e-002
-5.604651e-001 7.637952e-001-5.604650e-001 7.637951e-001
 3.063566e-001 2.627523e-002 3.063566e-001 2.627523e-002
 
TEST06
  For a complex general band storage matrix:
  CGBFA factors the matrix.
  CGBDI computes the determinant.
 
  The matrix order is N =      3
  The lower band is ML =       1
  The upper band is MU =       1
 
  The matrix A is 
 
  0.4499 -0.1267  0.5896  0.2601  0.0000  0.0000
 -0.8432 -0.3443  0.3911  0.3234 -0.2361  0.0775
  0.0000  0.0000 -0.1395 -0.1561  0.0186 -0.6332
 
  Determinant =  3.162241e+000-3.918538e+000 * 10** -1.000000e+000
 
TEST07
  For a complex general storage matrix:
  CGECO factors the matrix and estimates the
  reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
 -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
  0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
  Estimated reciprocal condition RCOND =  1.229366e-002
 
TEST08
  For a complex general storage matrix:
  CGEFA factors the matrix.
  CGESL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
 -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
  0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
  The right hand side B is 
 
  0.6063 -0.3917
 -0.1281 -0.0787
 -0.0931  0.5765
 
  Computed                     Exact
  Solution                     Solution
 
 3.063570e-001 2.627570e-002 3.063566e-001 2.627523e-002
 5.008028e-001-7.799308e-001 5.008039e-001-7.799310e-001
 3.504708e-001 1.655550e-002 3.504709e-001 1.655507e-002
 
TEST09
  For a complex general storage matrix:
  CGEFA factors the matrix.
  CGEDI computes the determinant or inverse.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
 -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
  0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
  Determinant = -3.630748e+000-5.582361e+000 * 10** -2.000000e+000
 
  The product inv(A) * A is 
 
  1.0000  0.0000 -0.0000  0.0000 -0.0000 -0.0000
 -0.0000 -0.0000  1.0000  0.0000  0.0000 -0.0000
  0.0000  0.0000  0.0000 -0.0000  1.0000  0.0000
 
TEST10
  For a complex tridiagonal matrix:
  CGTSL solves a linear system.
 
  Matrix order N =     10
 
  Computed                     Exact
  Solution                     Solution
 
 1.000000e+000 1.000000e+001 1.000000e+000 1.000000e+001
 2.000000e+000 2.000000e+001 2.000000e+000 2.000000e+001
 3.000000e+000 3.000000e+001 3.000000e+000 3.000000e+001
 3.999999e+000 4.000000e+001 4.000000e+000 4.000000e+001
 4.999995e+000 5.000000e+001 5.000000e+000 5.000000e+001
 6.000001e+000 6.000001e+001 6.000000e+000 6.000000e+001
 6.999999e+000 7.000001e+001 7.000000e+000 7.000000e+001
 7.999998e+000 8.000002e+001 8.000000e+000 8.000000e+001
 8.999987e+000 9.000001e+001 9.000000e+000 9.000000e+001
 9.999987e+000 1.000000e+002 1.000000e+001 1.000000e+002
 
TEST11
  For a complex Hermitian matrix:
  CHICO factors the matrix and estimates
  the reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584 -0.6458  0.3803
  0.4685  0.8584  0.0661  0.0000  0.3911  0.3234
 -0.6458 -0.3803  0.3911 -0.3234  0.0438  0.0000
 
  Estimated reciprocal condition RCOND =  2.359185e-001
 
TEST12
  For a complex Hermitian matrix:
  CHIFA factors the matrix.
  CHISL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584 -0.6458  0.3803
  0.4685  0.8584  0.0661  0.0000  0.3911  0.3234
 -0.6458 -0.3803  0.3911 -0.3234  0.0438  0.0000
 
  The right hand side B is 
 
  0.3915  1.3499
  0.4188  0.5569
 -0.4378 -0.1823
 
  Computed                     Exact
  Solution                     Solution
 
 7.370818e-001 3.011247e-001 7.370818e-001 3.011248e-001
-5.456432e-001 3.896312e-001-5.456432e-001 3.896312e-001
 2.543268e-001-8.306571e-001 2.543267e-001-8.306572e-001
 
TEST13
  For a complex hermitian matrix:
  CHIFA factors the matrix.
  CHIDI computes the determinant, inverse,
  or inertia.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584 -0.6458  0.3803
  0.4685  0.8584  0.0661  0.0000  0.3911  0.3234
 -0.6458 -0.3803  0.3911 -0.3234  0.0438  0.0000
 
  Determinant = -8.700617e+000 * 10** -1.000000e+000
 
  The inertia:
 
       2
       1
       0
 
  The product inv(A) * A is 
 
  1.0000  0.0000  0.0000 -0.0000 -0.0000  0.0000
  0.0000  0.0000  1.0000 -0.0000 -0.0000  0.0000
  0.0000  0.0000  0.0000  0.0000  1.0000  0.0000
 
TEST14
  For a complex Hermitian matrix
  using packed storage,
  CHPCO factors the matrix and estimates
  the reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584  0.5896  0.2601
  0.4685  0.8584  0.5617  0.0000  0.3911  0.3234
  0.5896 -0.2601  0.3911 -0.3234  0.0438  0.0000
 
  Estimated reciprocal condition RCOND =  3.400642e-002
 
TEST15
  For a complex Hermitian matrix,
  using packed storage,
  CHPFA factors the matrix.
  CHPSL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584  0.5896  0.2601
  0.4685  0.8584  0.5617  0.0000  0.3911  0.3234
  0.5896 -0.2601  0.3911 -0.3234  0.0438  0.0000
 
  The right hand side B is 
 
  0.6058  0.2931
  0.1484  0.7500
  0.4367  0.2783
 
  Computed                     Exact
  Solution                     Solution
 
 7.370818e-001 3.011250e-001 7.370818e-001 3.011248e-001
-5.456433e-001 3.896308e-001-5.456433e-001 3.896311e-001
 2.543270e-001-8.306573e-001 2.543267e-001-8.306572e-001
 
TEST16
  For a complex hermitian matrix,
  using packed storage,
  CHPFA factors the matrix.
  CHPDI computes the determinant, inverse,
  or inertia.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584  0.5896  0.2601
  0.4685  0.8584  0.5617  0.0000  0.3911  0.3234
  0.5896 -0.2601  0.3911 -0.3234  0.0438  0.0000
 
  Determinant =  1.215351e+000 * 10** -1.000000e+000
 
  The inertia:
 
       1
       2
       0
 
  The product inv(A) * A is 
 
  1.0000  0.0000 -0.0000  0.0000 -0.0000 -0.0000
  0.0000  0.0000  1.0000 -0.0000  0.0000  0.0000
  0.0000 -0.0000  0.0000  0.0000  1.0000  0.0000
 
TEST17
  For a complex positive definite 
  hermitian band matrix,
  CPBCO estimates the reciprocal condition number.
  The matrix size is N =        3
 
  Estimate the condition.
 
  Reciprocal condition  =  1.535879e-001
 
TEST18
  For a complex positive definite 
  hermitian band matrix,
  CPBDI computes the determinant as
    det = MANTISSA * 10**EXPONENT
 
  Determinant =  6.095705e+000 * 10**  1.000000e+000
 
TEST19
  For a complex positive definite 
  hermitian band matrix,
  CPBFA computes the LU factors.
  CPBSL solves a factored linear system.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Solve the linear system.
 
  The solution:
  (Should be roughly (1,2,3)):
 
         1   1.000000e+000-1.400529e-008
         2   2.000000e+000 0.000000e+000
         3   3.000000e+000-7.121618e-008
 
TEST20
  For a complex Hermitian positive definite matrix,
  CPOCO estimates the reciprocal condition number.
  The matrix size is N =        3
 
  Estimate the condition.
 
  Reciprocal condition  =  6.019080e-004
 
TEST21
  For a complex Hermitian positive definite matrix,
  CPOFA computes the LU factors,
  CPODI computes the inverse or determinant.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Get the determinant and inverse.
 
  Determinant  =  3.560205e+000 * 10 ** -2.000000e+000
 
  First row of inverse:
 
     75.8410    0.0000  -14.1735  -44.2781  -74.0824   31.3458
 
TEST22
  For a complex Hermitian positive definite matrix,
  CPOFA computes the LU factors.
  CPOSL solves a factored linear system.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Solve the linear system.
 
  The solution:
  (Should be (1+2i),(3+4i),(5+6i):
 
         1   1.000142e+000 1.999938e+000
         2   3.000009e+000 4.000096e+000
         3   4.999835e+000 6.000000e+000
 
TEST23
  For a complex Hermitian positive definite packed matrix,
  CPPCO estimates the reciprocal condition number.
  The matrix size is N =        3
 
  Estimate the condition number.
 
  Reciprocal condition number =  6.019080e-004
 
TEST24
  For a complex Hermitian positive definite packed matrix,
  CPPFA factors the matrix.
  CPPDI computes the inverse or determinant.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Get the determinant and inverse.
 
  Determinant  =  3.560205e+000 * 10 ** -2.000000e+000
 
  Inverse:
 
     75.8410    0.0000  -14.1735  -44.2781  -74.0824   31.3458
    -14.1735   44.2781   29.5232    0.0000   -5.2299  -49.5355
    -74.0824  -31.3458   -5.2299   49.5355   86.4448    0.0000
 
TEST25
  For a complex Hermitian positive definite packed matrix,
  CPPFA factors the matrix.
  CPPSL solves a factored linear system.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Solve the linear system.
 
  The solution:
  (Should be (1+2i),(3+4i),(5+6i):
 
         1   1.000120e+000 2.000285e+000
         2   2.999810e+000 4.000018e+000
         3   5.000000e+000 5.999671e+000
 
TEST26
  For a complex Hermitian positive definite 
  tridiagonal matrix,
  CPTSL factors and solves a linear system.
  The matrix size is N =        3
 
  Factor the matrix and solve the system.
 
  The solution:
  (Should be roughly (1,2,3)):
 
         1   1.000000e+000 3.948984e-008
         2   2.000000e+000-8.436955e-008
         3   3.000000e+000 5.004798e-008
 
TEST27
  For a complex general matrix,
  CQRDC computes the QR decomposition of a 
  matrix, but does not return Q and R explicitly.
 
  Show how Q and R can be recovered using CQRSL.
 
  The matrix A is 
 
  0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
 -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
  0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
  Decompose the matrix.
 
  The packed matrix A which describes Q and R:
 
 -1.1644  0.3279 -0.2355 -0.2650  0.4991 -0.6664
 -0.5938 -0.4629  0.1053 -0.4758 -1.1703  0.1429
  0.4109  0.3391 -0.3781  0.6677 -0.0980  0.0561
 
  The QRAUX vector, containing some
  additional information defining Q:
 
    1.3864  0.0000  1.6413  0.0000  0.0000  0.0000
 
  The R factor:
 
   -1.1644  0.3279 -0.2355 -0.2650  0.4991 -0.6664
    0.0000  0.0000  0.1053 -0.4758 -1.1703  0.1429
    0.0000  0.0000  0.0000  0.0000 -0.0980  0.0561
 
  The Q factor:
 
   -0.3864  0.0000 -0.3098  0.6994  0.2701  0.4389
    0.5938  0.4629 -0.2751 -0.1962  0.4090  0.3895
   -0.4109 -0.3391  0.1152 -0.5362  0.6140  0.1962
 
  The product Q * R:
 
    0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
   -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
    0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
TEST28
  For a complex symmetric matrix:
  CSICO factors the matrix and estimates
  the reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.5896  0.2601
 -0.8432 -0.3443  0.3911  0.3234 -0.1395 -0.1561
  0.5896  0.2601 -0.1395 -0.1561 -0.2361  0.0775
 
  Estimated reciprocal condition RCOND =  4.753228e-002
 
TEST29
  For a complex symmetric matrix:
  CSIFA factors the matrix.
  CSISL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.5896  0.2601
 -0.8432 -0.3443  0.3911  0.3234 -0.1395 -0.1561
  0.5896  0.2601 -0.1395 -0.1561 -0.2361  0.0775
 
  The right hand side B is 
 
 -1.3503 -0.2987
  0.3096  0.8013
  0.1259 -0.7331
 
  Computed                     Exact
  Solution                     Solution
 
 1.859927e-002-6.332144e-001 1.859943e-002-6.332143e-001
 8.928493e-001 1.031347e-002 8.928497e-001 1.031361e-002
-5.604654e-001 7.637949e-001-5.604650e-001 7.637951e-001
 
TEST30
  For a complex symmetric matrix:
  CSIFA factors the matrix.
  CSIDI computes the determinant or inverse.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.5896  0.2601
 -0.8432 -0.3443  0.3911  0.3234 -0.1395 -0.1561
  0.5896  0.2601 -0.1395 -0.1561 -0.2361  0.0775
 
  Determinant =  9.438419e-001 9.966612e-001 * 10** -1.000000e+000
 
  The product inv(A) * A is 
 
  1.0000 -0.0000 -0.0000  0.0000 -0.0000 -0.0000
  0.0000 -0.0000  1.0000  0.0000  0.0000  0.0000
  0.0000  0.0000 -0.0000  0.0000  1.0000  0.0000
 
TEST31
  For a complex symmetric matrix
  in packed storage,
  CSPCO factors the matrix and estimates
  the reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.3911  0.3234
 -0.8432 -0.3443  0.5896  0.2601 -0.1395 -0.1561
  0.3911  0.3234 -0.1395 -0.1561 -0.2361  0.0775
 
  Estimated reciprocal condition RCOND =  5.761919e-002
 
TEST32
  For a complex symmetric matrix
  in packed storage,
  CSPFA factors the matrix.
  CSPSL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.3911  0.3234
 -0.8432 -0.3443  0.5896  0.2601 -0.1395 -0.1561
  0.3911  0.3234 -0.1395 -0.1561 -0.2361  0.0775
 
  The right hand side B is 
 
 -1.2874 -0.4858
  0.4875  0.7468
  0.1623 -0.6062
 
  Computed                     Exact
  Solution                     Solution
 
 1.859933e-002-6.332145e-001 1.859943e-002-6.332143e-001
 8.928496e-001 1.031342e-002 8.928497e-001 1.031361e-002
-5.604650e-001 7.637947e-001-5.604650e-001 7.637951e-001
 
TEST33
  For a complex symmetric matrix
  in packed storage,
  CSPFA factors the matrix.
  CSPDI computes the determinant or inverse.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.3911  0.3234
 -0.8432 -0.3443  0.5896  0.2601 -0.1395 -0.1561
  0.3911  0.3234 -0.1395 -0.1561 -0.2361  0.0775
 
  Determinant =  7.885257e-001 1.041452e+000 * 10** -1.000000e+000
 
  The product inv(A) * A is 
 
  1.0000 -0.0000  0.0000 -0.0000  0.0000  0.0000
  0.0000  0.0000  1.0000 -0.0000  0.0000  0.0000
  0.0000 -0.0000  0.0000  0.0000  1.0000  0.0000
 
TEST34
  For an MxN matrix A in complex general storage,
  CSVDC computes the singular value decomposition:
    A = U * S * V^H
 
  Matrix rows M =           4
  Matrix columns N =        3
 
  The matrix A:
 
      0.4499   -0.1267   -0.1395   -0.1561   -0.5605    0.7638
     -0.8432   -0.3443   -0.2361    0.0775    0.3064    0.0263
      0.5896    0.2601    0.0186   -0.6332    0.5008   -0.7799
      0.3911    0.3234    0.8928    0.0103    0.3505    0.0166
 
  Decompose the matrix.
 
  Singular values:
 
     1   1.729969e+000 0.000000e+000
     2   1.300870e+000 0.000000e+000
     3   5.604976e-001 0.000000e+000
 
  Left Singular Vector Matrix U:
 
      0.0006   -0.3456   -0.6466   -0.1036   -0.1390    0.4739    0.3709    0.2651
     -0.3518   -0.0920    0.4726    0.3090   -0.3977   -0.0478    0.3892    0.4868
      0.6124    0.3271    0.1879    0.2403    0.3439    0.3499    0.0786    0.4219
      0.1009    0.5061   -0.3989    0.0116   -0.0505   -0.5936    0.4616    0.0798
 
  Right Singular Vector Matrix V:
 
      0.5906    0.0000   -0.5855    0.0000    0.5554    0.0000
      0.0170    0.5445   -0.3736   -0.0447   -0.4119   -0.6261
     -0.1614    0.5731    0.1563    0.7009    0.3363    0.1295
 
  The product U * S * V^H (should equal A):
 
      0.4499   -0.1267   -0.1395   -0.1561   -0.5605    0.7638
     -0.8432   -0.3443   -0.2361    0.0775    0.3064    0.0263
      0.5896    0.2601    0.0186   -0.6332    0.5008   -0.7799
      0.3911    0.3234    0.8928    0.0103    0.3505    0.0166
 
TEST345
  For an MxN matrix A in complex general storage,
  CSVDC computes the singular value decomposition:
    A = U * S * V^H
 
  Matrix rows M =           4
  Matrix columns N =        4
 
  The matrix A:
 
      1.0000    0.0000    1.0000    0.0000    1.0000    0.0000    1.0000    0.0000
      0.0000   -1.0000   -1.0000    0.0000    1.0000    0.0000    0.0000    1.0000
     -1.0000    0.0000   -1.0000    0.0000    1.0000    0.0000   -1.0000    0.0000
      0.0000    1.0000    1.0000    0.0000    1.0000    0.0000    0.0000   -1.0000
 
  Decompose the matrix.
 
  Singular values:
 
     1   2.828427e+000 0.000000e+000
     2   2.000000e+000 0.000000e+000
     3   2.000000e+000 0.000000e+000
     4   0.000000e+000 0.000000e+000
 
  Left Singular Vector Matrix U:
 
      0.3536    0.3536   -0.0707    0.4950   -0.3536    0.3536    0.0707    0.4950
     -0.3536   -0.3536   -0.0707    0.4950   -0.3536    0.3536   -0.0707   -0.4950
     -0.3536   -0.3536   -0.0707    0.4950    0.3536   -0.3536    0.0707    0.4950
      0.3536    0.3536   -0.0707    0.4950    0.3536   -0.3536   -0.0707   -0.4950
 
  Right Singular Vector Matrix V:
 
      0.5000    0.0000    0.0000    0.0000   -0.7071    0.0000    0.5000    0.0000
      0.5000    0.5000    0.0000    0.0000    0.0000    0.0000   -0.5000   -0.5000
      0.0000    0.0000   -0.1414    0.9899    0.0000    0.0000    0.0000    0.0000
      0.0000    0.5000    0.0000    0.0000    0.0000    0.7071    0.0000    0.5000
 
  The product U * S * V^H (should equal A):
 
      1.0000    0.0000    1.0000    0.0000    1.0000   -0.0000    1.0000    0.0000
      0.0000   -1.0000   -1.0000    0.0000    1.0000    0.0000   -0.0000    1.0000
     -1.0000    0.0000   -1.0000   -0.0000    1.0000    0.0000   -1.0000   -0.0000
      0.0000    1.0000    1.0000   -0.0000    1.0000    0.0000    0.0000   -1.0000
 
TEST35
  For a complex triangular matrix,
  CTRCO estimates the condition.
 
  Matrix order N =      3
 
  Estimated reciprocal condition RCOND =  7.261354e-002
 
TEST36
  For a complex triangular matrix,
  CTRDI computes the determinant or inverse.
 
  Matrix order N =      3
 
  Determinant = -7.367153e+000 1.310815e+000 * 10** -2.000000e+000
 
  The product inv(A) * A is 
 
  1.0000 -0.0000  0.0000  0.0000  0.0000  0.0000
  0.0000  0.0000  1.0000  0.0000  0.0000  0.0000
  0.0000  0.0000  0.0000  0.0000  1.0000 -0.0000
 
TEST37
  For a complex triangular matrix,
  CTRSL solves a linear system.
 
  Matrix order N =     10
 
  Computed                     Exact
  Solution                     Solution
 
 9.999998e-001 1.000000e+001 1.000000e+000 1.000000e+001
 1.999999e+000 2.000000e+001 2.000000e+000 2.000000e+001
 3.000000e+000 3.000000e+001 3.000000e+000 3.000000e+001
 4.000008e+000 4.000000e+001 4.000000e+000 4.000000e+001
 4.999999e+000 5.000000e+001 5.000000e+000 5.000000e+001
 6.000003e+000 5.999999e+001 6.000000e+000 6.000000e+001
 7.000009e+000 6.999999e+001 7.000000e+000 7.000000e+001
 8.000011e+000 8.000002e+001 8.000000e+000 8.000000e+001
 9.000027e+000 9.000000e+001 9.000000e+000 9.000000e+001
 1.000008e+001 1.000000e+002 1.000000e+001 1.000000e+002
 
linpack_c_test():
  Normal end of execution.
 
rc= 0
** linpack/b-linpack-d-test.f
 
linpack_d_test():
  Fortran77 version
  Test linpack_d().
 
TEST01
  For double precision, general storage,
  DCHDC computes the Cholesky decomposition.
 
  The number of equations is N =      4
 
  The matrix A:
 
   2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
   0.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
   0.000000e+000 0.000000e+000 2.000000e+000-1.000000e+000
   0.000000e+000 0.000000e+000 0.000000e+000 2.000000e+000
 
  Decompose the matrix.
 
  The Cholesky factor U:
 
   1.414214e+000-7.071068e-001 0.000000e+000 0.000000e+000
   0.000000e+000 1.224745e+000-8.164966e-001 0.000000e+000
   0.000000e+000 0.000000e+000 1.154701e+000-8.660254e-001
   0.000000e+000 0.000000e+000 0.000000e+000 1.118034e+000
 
  The product U' * U: 
 
   2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
  -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
   0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
   0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000
 
TEST02
  For double precision, general storage,
  DCHEX can shift columns in a Cholesky 
  factorization.
 
  The number of equations is N =      5
 
  The matrix A:
 
   2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
   0.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
   0.000000e+000 0.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
   0.000000e+000 0.000000e+000 0.000000e+000 2.000000e+000-1.000000e+000
   0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 2.000000e+000
 
  The vector Z:
 
   1.000000e+000
   2.000000e+000
   3.000000e+000
   4.000000e+000
   5.000000e+000
 
  Decompose the matrix.
 
  The Cholesky factor U:
 
   1.414214e+000-7.071068e-001 0.000000e+000 0.000000e+000 0.000000e+000
   0.000000e+000 1.224745e+000-8.164966e-001 0.000000e+000 0.000000e+000
   0.000000e+000 0.000000e+000 1.154701e+000-8.660254e-001 0.000000e+000
   0.000000e+000 0.000000e+000 0.000000e+000 1.118034e+000-8.944272e-001
   0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 1.095445e+000
 
  Right circular shift columns K  =      1 through L =      3
 
  Left circular shift columns K+1 =      2 through L =      3
 
  The shifted Cholesky factor U:
 
   1.414214e+000-7.071068e-001 0.000000e+000-7.071068e-001 0.000000e+000
   0.000000e+000-1.224745e+000 8.164966e-001 4.082483e-001 0.000000e+000
   0.000000e+000 0.000000e+000 1.154701e+000-2.886751e-001 0.000000e+000
   0.000000e+000 0.000000e+000 0.000000e+000 1.118034e+000-8.944272e-001
   0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 1.095445e+000
 
  The shifted vector Z:
 
   1.294789e+000
  -2.170197e+000
   2.759306e+000
   4.000000e+000
   5.000000e+000
 
  The shifted product U' * U: 
 
   2.000000e+000-1.000000e+000 0.000000e+000-1.000000e+000 0.000000e+000
  -1.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
   0.000000e+000-1.000000e+000 2.000000e+000 5.551115e-017 0.000000e+000
  -1.000000e+000 0.000000e+000 5.551115e-017 2.000000e+000-1.000000e+000
   0.000000e+000 0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000
 
TEST03
  For double precision, general storage,
  DCHUD updates a Cholesky decomposition.
 
  In this example, we use DCHUD to solve a
  least squares problem R * b = z.
 
  The number of equations is P =     20
 
  Solution vector #      1
  (Should be (1,2,3...,n))
 
       1   1.000000e+000
       2   2.000000e+000
       3   3.000000e+000
       4   4.000000e+000
       5   5.000000e+000
  ......  ..............
      16   1.600000e+001
      17   1.700000e+001
      18   1.800000e+001
      19   1.900000e+001
      20   2.000000e+001
 
TEST04
  For a banded matrix in general format,
  DGBCO estimates the reciprocal condition number.
  The matrix size is N =     10
  The bandwidth of the matrix is      3
 
  Estimate the condition.
 
  Estimated reciprocal condition =  2.049180e-002
 
TEST05
  For a banded matrix in general format,
  DGBFA factors the matrix,
  DGBSL solves a factored linear system.
  The matrix size is N =     10
  The bandwidth of the matrix is      3
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution values:
  (All should be 1):
 
       1   1.000000e+000
       2   1.000000e+000
       3   1.000000e+000
       4   1.000000e+000
       5   1.000000e+000
  ......  ..............
       6   1.000000e+000
       7   1.000000e+000
       8   1.000000e+000
       9   1.000000e+000
      10   1.000000e+000
 
TEST06
  For a banded matrix in general format,
  DGBFA factors the matrix,
  DGBDI computes the determinant as
    det = MANTISSA * 10**EXPONENT
 
  Find the determinant of the -1,2,-1 matrix
  for N = 2, 4, 8, 16, 32, 64, 128.
 
  (For this matrix, det ( A ) = N + 1.)
  The bandwidth of the matrix is      3
 
       N    Mantissa       Exponent
 
       2   3.000000e+000   0.000000e+000
       4   5.000000e+000   0.000000e+000
       8   9.000000e+000   0.000000e+000
      16   1.700000e+000   1.000000e+000
      32   3.300000e+000   1.000000e+000
      64   6.500000e+000   1.000000e+000
     128   1.290000e+000   2.000000e+000
 
TEST07
  For a banded matrix in general format,
  DGBFA factors the matrix,
  DGBSL solves a factored linear system.
  The matrix size is N =    100
  The bandwidth of the matrix is     51
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (All should be 1):
 
       1   1.000000e+000
       2   1.000000e+000
       3   1.000000e+000
       4   1.000000e+000
       5   1.000000e+000
  ......  ..............
      96   1.000000e+000
      97   1.000000e+000
      98   1.000000e+000
      99   1.000000e+000
     100   1.000000e+000
 
TEST08
  DGECO factors a general matrix and computes
  its reciprocal condition number;
  DGESL solves a factored linear system.
  The matrix size is N =      3
 
  Factor the matrix.
  The reciprocal matrix condition number =  2.464455e-002
 
  Solve the linear system.
 
  Solution returned by DGESL
  (Should be (1,2,3))
 
   1.000000e+000
   2.000000e+000
   3.000000e+000
 
  Call DGESL for a new right hand 
  side for the same, factored matrix.
 
  Solve a linear system.
 
  Solution returned by DGESL
  (should be (1,0,0))
 
   1.000000e+000
   0.000000e+000
   0.000000e+000
 
  Call DGESL for transposed problem.
 
  Call DGESL to solve a transposed linear system.
 
  Solution returned by DGESL
  (should be (-1,0,1))
 
  -1.000000e+000
  -3.947460e-016
   1.000000e+000
 
TEST09
  DGEFA factors a general matrix;
  DGEDI computes the inverse and determinant
  of a factored matrix.
  The matrix size is N =      3
 
  Factor the matrix
 
  Get the inverse and determinant
 
  The determinant =  2.700000e+000 * 10 **  1.000000e+000
 
  The inverse matrix:
 
  -1.777778e+000 8.888889e-001-1.111111e-001
   1.555556e+000-7.777778e-001 2.222222e-001
  -1.111111e-001 2.222222e-001-1.111111e-001
 
TEST10
  DGEFA factors a general matrix;
  DGESL solves a factored linear system;
 
  The number of equations is N =      3
 
  The matrix A:
 
   1.000000e+000 2.000000e+000 3.000000e+000
   4.000000e+000 5.000000e+000 6.000000e+000
   7.000000e+000 8.000000e+000 0.000000e+000
 
  The right hand side B is 
 
   1.400000e+001
   3.200000e+001
   2.300000e+001
 
  Factor the matrix
 
  Solve the linear system.
 
  DGESL returns the solution:
  (Should be (1,2,3))
 
   1.000000e+000
   2.000000e+000
   3.000000e+000
 
TEST11
  DGEFA factors a general matrix;
  DGESL solves a factored linear system;
  The matrix size is N =    100
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last five solution entries:
  (All of them should be 1.)
 
       1   1.000000e+000
       2   1.000000e+000
       3   1.000000e+000
       4   1.000000e+000
       5   1.000000e+000
  ......  ..............
      96   1.000000e+000
      97   1.000000e+000
      98   1.000000e+000
      99   1.000000e+000
     100   1.000000e+000
 
TEST12
  For a general tridiagonal matrix,
  DGTSL factors and solves a linear system.
  The matrix size is N =      100
 
 
  Factor the matrix and solve the system.
 
  The first and last 5 entries of solution:
  (Should be (1,2,3,4,5,...,n-1,n))
 
         1   1.000000e+000
         2   2.000000e+000
         3   3.000000e+000
         4   4.000000e+000
         5   5.000000e+000
  ......  ..............
        96   9.600000e+001
        97   9.700000e+001
        98   9.800000e+001
        99   9.900000e+001
       100   1.000000e+002
 
TEST13
  For a positive definite symmetric 
  band matrix, DPBCO estimates the 
  reciprocal condition number.
  The matrix size is N =       10
 
  Estimate the condition.
 
  Reciprocal condition  =  2.049180e-002
 
TEST14
  For a positive definite symmetric band
  matrix, DPBDI computes the determinant as
    det = MANTISSA * 10**EXPONENT
 
  Find the determinant of the -1,2,-1 matrix
  for N = 2, 4, 8, 16, 32, 64, 128.
 
  (For this matrix, det ( A ) = N + 1.)
 
  The bandwidth of the matrix is        3
 
       N    Mantissa       Exponent
 
         2   3.000000e+000   0.000000e+000
         4   5.000000e+000   0.000000e+000
         8   9.000000e+000   0.000000e+000
        16   1.700000e+000   1.000000e+000
        32   3.300000e+000   1.000000e+000
        64   6.500000e+000   1.000000e+000
       128   1.290000e+000   2.000000e+000
 
TEST15
  For a positive definite symmetric band
  matrix,
  DPBFA computes the LU factors.
  DPBSL solves a factored linear system.
  The matrix size is N =       10
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last solution entries:
  (All should be 1):
 
         1   1.000000e+000
         2   1.000000e+000
         3   1.000000e+000
         4   1.000000e+000
         5   1.000000e+000
  ......  ..............
         6   1.000000e+000
         7   1.000000e+000
         8   1.000000e+000
         9   1.000000e+000
        10   1.000000e+000
 
TEST16
  For a positive definite symmetric matrix,
  DPOCO estimates the reciprocal condition
  number.
  The matrix size is N =        5
 
  Estimate the condition.
 
  Reciprocal condition  =  6.756757e-002
 
TEST17
  For a positive definite symmetric matrix,
  DPOFA computes the LU factors,
  DPODI computes the inverse or determinant.
  The matrix size is N =        5
 
  Factor the matrix.
 
  Get the determinant and inverse.
 
  Determinant  =  6.000000e+000 * 10 **  0.000000e+000
 
  First row of inverse:
 
   8.333333e-001 6.666667e-001 5.000000e-001 3.333333e-001 1.666667e-001
 
TEST18
  For a positive definite symmetric matrix,
  DPOFA computes the LU factors.
  DPOSL solves a factored linear system.
  The matrix size is N =       20
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (Should be 1,2,3,4,5,...,n-1,n):
 
         1   1.000000e+000
         2   2.000000e+000
         3   3.000000e+000
         4   4.000000e+000
         5   5.000000e+000
  ......  ..............
        15   1.500000e+001
        16   1.600000e+001
        17   1.700000e+001
        18   1.800000e+001
        19   1.900000e+001
        20   2.000000e+001
 
TEST19
  For a positive definite symmetric 
  packed matrix,
  DPPCO estimates the reciprocal condition 
  number.
  The matrix size is N =        5
 
  Estimate the condition number.
 
  Reciprocal condition number =  6.756757e-002
 
TEST20
  For a positive definite symmetric 
  packed matrix,
  DPPFA factors the matrix.
  DPPDI computes the inverse or determinant.
  The matrix size is N =        5
 
  Factor the matrix.
 
  Get the determinant and inverse.
 
  Determinant  =  6.000000e+000 * 10 **  0.000000e+000
 
  Inverse:
 
   8.333333e-001 6.666667e-001 5.000000e-001 3.333333e-001 1.666667e-001
   6.666667e-001 1.333333e+000 1.000000e+000 6.666667e-001 3.333333e-001
   5.000000e-001 1.000000e+000 1.500000e+000 1.000000e+000 5.000000e-001
   3.333333e-001 6.666667e-001 1.000000e+000 1.333333e+000 6.666667e-001
   1.666667e-001 3.333333e-001 5.000000e-001 6.666667e-001 8.333333e-001
 
TEST21
  For a positive definite symmetric 
  packed matrix,
  DPPFA factors the matrix.
  DPPSL solves a factored linear system.
  The matrix size is N =       20
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (Should be 1,2,3,4,5,...,n-1,n):
 
         1   1.000000e+000
         2   2.000000e+000
         3   3.000000e+000
         4   4.000000e+000
         5   5.000000e+000
  ......  ..............
        16   1.600000e+001
        17   1.700000e+001
        18   1.800000e+001
        19   1.900000e+001
        20   2.000000e+001
 
TEST22
  For a positive definite symmetric
  tridiagonal matrix,
  DPTSL factors and solves a linear system.
  The matrix size is N =       20
 
  Factor the matrix and solve the system.
 
  The first and last 5 solution entries:
  (Should be 1,2,3,4,5,...,n-1,n):
 
         1   1.000000e+000
         2   2.000000e+000
         3   3.000000e+000
         4   4.000000e+000
         5   5.000000e+000
  ......  ..............
        16   1.600000e+001
        17   1.700000e+001
        18   1.800000e+001
        19   1.900000e+001
        20   2.000000e+001
 
TEST23
  For a general matrix,
  DQRDC computes the QR decomposition of a 
  matrix, but does not return Q and R
  explicitly.
 
  Recover Q and R using DQRSL.
 
  The original matrix A:
 
   1.000000e+000 1.000000e+000 0.000000e+000
   1.000000e+000 0.000000e+000 1.000000e+000
   0.000000e+000 1.000000e+000 1.000000e+000
 
  Decompose the matrix.
 
  The packed matrix A,
  describing Q and R:
 
  -1.414214e+000-7.071068e-001-7.071068e-001
   7.071068e-001 1.224745e+000 4.082483e-001
   0.000000e+000-8.164966e-001 1.154701e+000
 
  The QRAUX vector, containing additional
  information defining Q:
 
   1.707107e+000 1.577350e+000 0.000000e+000
 
  The R factor:
 
  -1.414214e+000-7.071068e-001-7.071068e-001
   0.000000e+000 1.224745e+000 4.082483e-001
   0.000000e+000 0.000000e+000 1.154701e+000
 
  The Q factor:
 
  -7.071068e-001 4.082483e-001-5.773503e-001
  -7.071068e-001-4.082483e-001 5.773503e-001
   0.000000e+000 8.164966e-001 5.773503e-001
 
  The product Q * R:
 
   1.000000e+000 1.000000e+000-2.220446e-016
   1.000000e+000-5.551115e-017 1.000000e+000
   0.000000e+000 1.000000e+000 1.000000e+000
 
TEST24
  For a symmetric indefinite matrix,
  DSICO estimates the reciprocal condition
  number.
  The matrix size is N =      100
 
  Estimate the condition.
 
  Estimated reciprocal condition =  2.450500e-004
 
TEST25
  For a symmetric indefinite matrix,
  DSIFA factors the matrix,
  DSISL solves a factored linear system,
  The matrix size is N =      100
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (Should be (1,2,3,4,5,...,n-1,n))
 
         1   1.000000e+000
         2   2.000000e+000
         3   3.000000e+000
         4   4.000000e+000
         5   5.000000e+000
  ......  ..............
        96   9.600000e+001
        97   9.700000e+001
        98   9.800000e+001
        99   9.900000e+001
       100   1.000000e+002
 
TEST26
  For a symmetric indefinite packed matrix,
  DSPCO estimates the reciprocal condition
  number.
  The matrix size is N =      100
 
  Estimate the condition.
 
  Estimated reciprocal condition =  2.450500e-004
 
TEST27
  For a symmetric indefinite packed matrix,
  DSPFA factors the matrix,
  DSPSL solves a factored linear system.
  The matrix size is N =      100
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (Should be (1,2,3,4,5,...,n-1,n))
 
         1   1.000000e+000
         2   2.000000e+000
         3   3.000000e+000
         4   4.000000e+000
         5   5.000000e+000
  ......  ..............
        96   9.600000e+001
        97   9.700000e+001
        98   9.800000e+001
        99   9.900000e+001
       100   1.000000e+002
 
TEST28
  For an MxN matrix A in general storage,
  DSVDC computes the singular value 
  decomposition:
    A = U * S * V'
 
  Matrix rows M =           6
  Matrix columns N =        4
 
  The matrix A:
 
      0.2184    0.2576    0.4013    0.0945
      0.9563    0.1100    0.7547    0.0136
      0.8295    0.0438    0.7973    0.8591
      0.5617    0.6340    0.0018    0.8408
      0.4153    0.0617    0.8975    0.1231
      0.0661    0.4495    0.3508    0.0075
 
  Decompose the matrix.
 
  Singular values:
 
     1   2.228984e+000
     2   1.031751e+000
     3   6.063036e-001
     4   4.410979e-001
 
  Left Singular Vector Matrix U:
 
     -0.2149    0.0703    0.3516    0.1415   -0.5697   -0.6933
     -0.4939    0.3994    0.0408   -0.7659   -0.0327    0.0848
     -0.6210   -0.1220   -0.5412    0.3511   -0.3416    0.2581
     -0.3787   -0.8039    0.2117   -0.1950    0.3196   -0.1592
     -0.3942    0.4170    0.1135    0.4246    0.6525   -0.2275
     -0.1594    0.0218    0.7240    0.2274   -0.1725    0.6071
 
  Right Singular Vector Matrix V:
 
     -0.6377    0.0186   -0.1965   -0.7446
     -0.2122   -0.4046    0.8873   -0.0625
     -0.6122    0.5940    0.1595    0.4970
     -0.4167   -0.6951   -0.3855    0.4412
 
  The product U * S * V' (should equal A):
 
      0.2184    0.2576    0.4013    0.0945
      0.9563    0.1100    0.7547    0.0136
      0.8295    0.0438    0.7973    0.8591
      0.5617    0.6340    0.0018    0.8408
      0.4153    0.0617    0.8975    0.1231
      0.0661    0.4495    0.3508    0.0075
 
TEST29
  For a triangular matrix,
  DTRCO computes the LU factors and
  computes its reciprocal condition number.
  The matrix size is N =        5
 
  Lower triangular matrix A:
 
   2.184183e-001 0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
   9.563176e-001 2.575778e-001 0.000000e+000 0.000000e+000 0.000000e+000
   8.295092e-001 1.099568e-001 4.013063e-001 0.000000e+000 0.000000e+000
   5.616954e-001 4.382900e-002 7.546735e-001 9.454475e-002 0.000000e+000
   4.153071e-001 6.339657e-001 7.972870e-001 1.361689e-002 2.603030e-001
 
  Estimate the condition:
 
  The reciprocal condition number =  4.819964e-003
 
  Upper triangular matrix A:
 
   9.124837e-001 6.920665e-001 5.979169e-001 5.743659e-001 7.144712e-001
   0.000000e+000 5.616625e-001 1.889547e-001 3.670267e-001 1.177069e-001
   0.000000e+000 0.000000e+000 7.614921e-001 6.172048e-001 2.993291e-001
   0.000000e+000 0.000000e+000 0.000000e+000 3.615287e-001 8.250030e-001
   0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 8.246601e-001
 
  Estimate the condition:
 
  The reciprocal condition number =  6.140109e-002
 
TEST30
  For a triangular matrix,
  DTRDI computes the determinant or inverse.
  The matrix size is N =        5
 
  Lower triangular matrix A:
 
   2.184183e-001 0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
   9.563176e-001 2.575778e-001 0.000000e+000 0.000000e+000 0.000000e+000
   8.295092e-001 1.099568e-001 4.013063e-001 0.000000e+000 0.000000e+000
   5.616954e-001 4.382900e-002 7.546735e-001 9.454475e-002 0.000000e+000
   4.153071e-001 6.339657e-001 7.972870e-001 1.361689e-002 2.603030e-001
 
  The determinant =  5.556355e+000 * 10 ** -4.000000e+000
 
  The inverse matrix:
 
   4.578371e+000 0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
  -1.699827e+001 3.882322e+000 0.000000e+000 0.000000e+000 0.000000e+000
  -4.806119e+000-1.063745e+000 2.491862e+000 0.000000e+000 0.000000e+000
   1.904302e+001 6.691246e+000-1.989050e+001 1.057700e+001 0.000000e+000
   4.781904e+001-6.547227e+000-6.591866e+000-5.533009e-001 3.841677e+000
 
  Upper triangular matrix A:
 
   9.124837e-001 6.920665e-001 5.979169e-001 5.743659e-001 7.144712e-001
   0.000000e+000 5.616625e-001 1.889547e-001 3.670267e-001 1.177069e-001
   0.000000e+000 0.000000e+000 7.614921e-001 6.172048e-001 2.993291e-001
   0.000000e+000 0.000000e+000 0.000000e+000 3.615287e-001 8.250030e-001
   0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 8.246601e-001
 
  The determinant =  1.163546e+000 * 10 ** -1.000000e+000
 
  The inverse matrix:
 
   1.095910e+000-1.350353e+000-5.254258e-001 5.268118e-001-1.093052e+000
   0.000000e+000 1.780429e+000-4.417910e-001-1.053275e+000 9.599440e-001
   0.000000e+000 0.000000e+000 1.313211e+000-2.241925e+000 1.766198e+000
   0.000000e+000 0.000000e+000 0.000000e+000 2.766032e+000-2.767182e+000
   0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 1.212621e+000
 
TEST31
  For a triangular matrix,
  DTRSL solves a linear system.
  The matrix size is N =        5
 
  For a lower triangular matrix A,
  solve A * x = b
 
  The solution (should be 1,2,3,4,5):
 
         1   1.000000e+000
         2   2.000000e+000
         3   3.000000e+000
         4   4.000000e+000
         5   5.000000e+000
 
  For a lower triangular matrix A,
  solve A' * x = b
 
  The solution (should be 1,2,3,4,5):
 
         1   1.000000e+000
         2   2.000000e+000
         3   3.000000e+000
         4   4.000000e+000
         5   5.000000e+000
 
  For an upper triangular matrix A,
  solve A * x = b
 
  The solution (should be 1,2,3,4,5):
 
         1   1.000000e+000
         2   2.000000e+000
         3   3.000000e+000
         4   4.000000e+000
         5   5.000000e+000
 
  For an upper triangular matrix A,
  solve A' * x = b
 
  The solution (should be 1,2,3,4,5):
 
         1   1.000000e+000
         2   2.000000e+000
         3   3.000000e+000
         4   4.000000e+000
         5   5.000000e+000
 
linpack_d_test():
  Normal end of execution.
 
rc= 0
** linpack/b-linpack-s-test.f
 
linpack_s_test
  FORTRAN77 version
  Test the LINPACK_S library.
 
TEST01
  For real, general storage,
  SCHDC computes the Cholesky decomposition.
 
  The number of equations is N =      4
 
  The matrix A:
 
   2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
   0.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
   0.000000e+000 0.000000e+000 2.000000e+000-1.000000e+000
   0.000000e+000 0.000000e+000 0.000000e+000 2.000000e+000
 
  Decompose the matrix.
 
  The Cholesky factor U:
 
   1.414214e+000-7.071068e-001 0.000000e+000 0.000000e+000
   0.000000e+000 1.224745e+000-8.164966e-001 0.000000e+000
   0.000000e+000 0.000000e+000 1.154701e+000-8.660254e-001
   0.000000e+000 0.000000e+000 0.000000e+000 1.118034e+000
 
  The product U' * U: 
 
   2.000000e+000-9.999999e-001 0.000000e+000 0.000000e+000
  -9.999999e-001 2.000000e+000-1.000000e+000 0.000000e+000
   0.000000e+000-1.000000e+000 2.000000e+000-1.000000e+000
   0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000
 
TEST02
  For real, general storage,
  SCHEX can shift columns in a Cholesky 
  factorization.
 
  The number of equations is N =      5
 
  The matrix A:
 
   2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
   0.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000 0.000000e+000
   0.000000e+000 0.000000e+000 2.000000e+000-1.000000e+000 0.000000e+000
   0.000000e+000 0.000000e+000 0.000000e+000 2.000000e+000-1.000000e+000
   0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 2.000000e+000
 
  The vector Z:
 
   1.000000e+000
   2.000000e+000
   3.000000e+000
   4.000000e+000
   5.000000e+000
 
  Decompose the matrix.
 
  The Cholesky factor U:
 
   1.414214e+000-7.071068e-001 0.000000e+000 0.000000e+000 0.000000e+000
   0.000000e+000 1.224745e+000-8.164966e-001 0.000000e+000 0.000000e+000
   0.000000e+000 0.000000e+000 1.154701e+000-8.660254e-001 0.000000e+000
   0.000000e+000 0.000000e+000 0.000000e+000 1.118034e+000-8.944272e-001
   0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 1.095445e+000
 
  Right circular shift columns K  =      1 through L =      3
 
  Left circular shift columns K+1 =      2 through L =      3
 
  The shifted Cholesky factor U:
 
   1.414213e+000-7.071069e-001 0.000000e+000-7.071069e-001 0.000000e+000
   0.000000e+000-1.224745e+000 8.164966e-001 4.082484e-001 0.000000e+000
   0.000000e+000 0.000000e+000 1.154701e+000-2.886752e-001 0.000000e+000
   0.000000e+000 0.000000e+000 0.000000e+000 1.118034e+000-8.944272e-001
   0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 1.095445e+000
 
  The shifted vector Z:
 
   1.294789e+000
  -2.170197e+000
   2.759306e+000
   4.000000e+000
   5.000000e+000
 
  The shifted product U' * U: 
 
   2.000000e+000-1.000000e+000 0.000000e+000-1.000000e+000 0.000000e+000
  -1.000000e+000 2.000000e+000-1.000000e+000 5.960464e-008 0.000000e+000
   0.000000e+000-1.000000e+000 2.000000e+000 0.000000e+000 0.000000e+000
  -1.000000e+000 5.960464e-008 0.000000e+000 2.000000e+000-1.000000e+000
   0.000000e+000 0.000000e+000 0.000000e+000-1.000000e+000 2.000000e+000
 
TEST03
  For real, general storage,
  SCHUD updates a Cholesky decomposition.
 
  In this example, we use SCHUD to solve a
  least squares problem R * b = z.
 
  The number of equations is P =     20
 
  Solution vector #      1
  (Should be (1,2,3...,n))
 
       1   9.999487e-001
       2   2.000000e+000
       3   3.000034e+000
       4   3.999986e+000
       5   4.999966e+000
  ......  ..............
      16   1.599997e+001
      17   1.700003e+001
      18   1.800003e+001
      19   1.899998e+001
      20   1.999997e+001
 
TEST04
  For a banded matrix in general format,
  SGBCO estimates the reciprocal condition number.
  The matrix size is N =     10
  The bandwidth of the matrix is      3
 
  Estimate the condition.
 
  Estimated reciprocal condition =  2.049180e-002
 
TEST05
  For a banded matrix in general format,
  SGBFA factors the matrix,
  SGBSL solves a factored linear system.
  The matrix size is N =     10
  The bandwidth of the matrix is      3
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution values:
  (All should be 1):
 
       1   1.000000e+000
       2   1.000000e+000
       3   1.000000e+000
       4   1.000000e+000
       5   1.000000e+000
  ......  ..............
       6   1.000000e+000
       7   1.000000e+000
       8   1.000000e+000
       9   1.000000e+000
      10   1.000000e+000
 
TEST06
  For a banded matrix in general format,
  SGBFA factors the matrix,
  SGBDI computes the determinant as
    det = MANTISSA * 10**EXPONENT
 
  Find the determinant of the -1,2,-1 matrix
  for N by powers of 2 from 2 to      128
 
  (For this matrix, det ( A ) = N + 1.)
  The bandwidth of the matrix is      3
 
       N    Mantissa       Exponent
 
       2   3.000000e+000   0.000000e+000
       4   5.000000e+000   0.000000e+000
       8   9.000000e+000   0.000000e+000
      16   1.700000e+000   1.000000e+000
      32   3.300003e+000   1.000000e+000
      64   6.500012e+000   1.000000e+000
     128   1.289996e+000   2.000000e+000
 
TEST07
  For a banded matrix in general format,
  SGBFA factors the matrix,
  SGBSL solves a factored linear system.
  The matrix size is N =    100
  The bandwidth of the matrix is     51
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (All should be 1):
 
       1   9.999989e-001
       2   9.999988e-001
       3   9.999989e-001
       4   9.999988e-001
       5   9.999992e-001
  ......  ..............
      96   9.999996e-001
      97   9.999994e-001
      98   9.999994e-001
      99   9.999995e-001
     100   9.999994e-001
 
TEST08
  SGECO factors a general matrix and computes
  its reciprocal condition number;
  SGESL solves a factored linear system.
  The matrix size is N =      3
 
  Factor the matrix.
  The reciprocal matrix condition number =  2.464455e-002
 
  Solve the linear system.
 
  Solution returned by SGESL
  (Should be (1,2,3))
 
   1.000001e+000
   1.999999e+000
   3.000000e+000
 
  Call SGESL for a new right hand 
  side for the same, factored matrix.
 
  Solve a linear system.
 
  Solution returned by SGESL
  (should be (1,0,0))
 
   1.000000e+000
   0.000000e+000
   0.000000e+000
 
  Call SGESL for transposed problem.
 
  Call SGESL to solve a transposed linear system.
 
  Solution returned by SGESL
  (should be (-1,0,1))
 
  -1.000000e+000
   1.059638e-007
   1.000000e+000
 
TEST09
  SGEFA factors a general matrix;
  SGEDI computes the inverse and determinant
  of a factored matrix.
  The matrix size is N =      3
 
  Factor the matrix
 
  Get the inverse and determinant
 
  The determinant =  2.700000e+000 * 10 **  1.000000e+000
 
  The inverse matrix:
 
  -1.777778e+000 8.888889e-001-1.111111e-001
   1.555555e+000-7.777777e-001 2.222222e-001
  -1.111111e-001 2.222222e-001-1.111111e-001
 
TEST10
  SGEFA factors a general matrix;
  SGESL solves a factored linear system;
 
  The number of equations is N =      3
 
  The matrix A:
 
   1.000000e+000 2.000000e+000 3.000000e+000
   4.000000e+000 5.000000e+000 6.000000e+000
   7.000000e+000 8.000000e+000 0.000000e+000
 
  The right hand side B is 
 
   1.400000e+001
   3.200000e+001
   2.300000e+001
 
  Factor the matrix
 
  Solve the linear system.
 
  SGESL returns the solution:
  (Should be (1,2,3))
 
   1.000001e+000
   1.999999e+000
   3.000000e+000
 
TEST11
  SGEFA factors a general matrix;
  SGESL solves a factored linear system;
  The matrix size is N =    100
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last five solution entries:
  (All of them should be 1.)
 
       1   9.999899e-001
       2   9.999884e-001
       3   9.999897e-001
       4   9.999896e-001
       5   9.999897e-001
  ......  ..............
      96   9.999894e-001
      97   9.999894e-001
      98   9.999894e-001
      99   9.999893e-001
     100   9.999893e-001
 
TEST12
  For a general tridiagonal matrix,
  SGTSL factors and solves a linear system.
  The matrix size is N =      100
 
 
  Factor the matrix and solve the system.
 
  The first and last 5 entries of solution:
  (Should be (1,2,3,4,5,...,n-1,n))
 
         1   1.000002e+000
         2   2.000004e+000
         3   3.000005e+000
         4   4.000007e+000
         5   5.000009e+000
  ......  ..............
        96   9.600009e+001
        97   9.700008e+001
        98   9.800006e+001
        99   9.900004e+001
       100   1.000000e+002
 
TEST13
  For a positive definite symmetric 
  band matrix, SPBCO estimates the 
  reciprocal condition number.
  The matrix size is N =       10
 
  Estimate the condition.
 
  Reciprocal condition  =  2.049182e-002
 
TEST14
  For a positive definite symmetric band
  matrix, SPBDI computes the determinant as
    det = MANTISSA * 10**EXPONENT
 
  Find the determinant of the -1,2,-1 matrix
  for N = 2, 4, 8, 16, 32, 64, 128.
 
  (For this matrix, det ( A ) = N + 1.)
 
  The bandwidth of the matrix is        3
 
       N    Mantissa       Exponent
 
         2   3.000000e+000   0.000000e+000
         4   5.000000e+000   0.000000e+000
         8   9.000003e+000   0.000000e+000
        16   1.700000e+000   1.000000e+000
        32   3.299984e+000   1.000000e+000
        64   6.499888e+000   1.000000e+000
       128   1.289970e+000   2.000000e+000
 
TEST15
  For a positive definite symmetric band
  matrix,
  SPBFA computes the LU factors.
  SPBSL solves a factored linear system.
  The matrix size is N =       10
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last solution entries:
  (All should be 1):
 
         1   9.999998e-001
         2   9.999997e-001
         3   9.999997e-001
         4   9.999996e-001
         5   9.999995e-001
  ......  ..............
         6   9.999995e-001
         7   9.999996e-001
         8   9.999998e-001
         9   1.000000e+000
        10   1.000000e+000
 
TEST16
  For a positive definite symmetric matrix,
  SPOCO estimates the reciprocal condition
  number.
  The matrix size is N =        5
 
  Estimate the condition.
 
  Reciprocal condition  =  6.756759e-002
 
TEST17
  For a positive definite symmetric matrix,
  SPOFA computes the LU factors,
  SPODI computes the inverse or determinant.
  The matrix size is N =        5
 
  Factor the matrix.
 
  Get the determinant and inverse.
 
  Determinant  =  6.000000e+000 * 10 **  0.000000e+000
 
  First row of inverse:
 
   8.333333e-001 6.666666e-001 5.000000e-001 3.333333e-001 1.666666e-001
 
TEST18
  For a positive definite symmetric matrix,
  SPOFA computes the LU factors.
  SPOSL solves a factored linear system.
  The matrix size is N =       20
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (Should be 1,2,3,4,5,...,n-1,n):
 
         1   1.000000e+000
         2   2.000001e+000
         3   3.000002e+000
         4   4.000002e+000
         5   5.000002e+000
  ......  ..............
        15   1.500001e+001
        16   1.600001e+001
        17   1.700001e+001
        18   1.800001e+001
        19   1.900001e+001
        20   2.000001e+001
 
TEST19
  For a positive definite symmetric 
  packed matrix,
  SPPCO estimates the reciprocal condition 
  number.
  The matrix size is N =        5
 
  Estimate the condition number.
 
  Reciprocal condition number =  6.756759e-002
 
TEST20
  For a positive definite symmetric 
  packed matrix,
  SPPFA factors the matrix.
  SPPDI computes the inverse or determinant.
  The matrix size is N =        5
 
  Factor the matrix.
 
  Get the determinant and inverse.
 
  Determinant  =  6.000000e+000 * 10 **  0.000000e+000
 
  Inverse:
 
   8.333333e-001 6.666666e-001 5.000000e-001 3.333333e-001 1.666666e-001
   6.666666e-001 1.333333e+000 1.000000e+000 6.666666e-001 3.333333e-001
   5.000000e-001 1.000000e+000 1.500000e+000 1.000000e+000 5.000000e-001
   3.333333e-001 6.666666e-001 1.000000e+000 1.333333e+000 6.666666e-001
   1.666666e-001 3.333333e-001 5.000000e-001 6.666666e-001 8.333333e-001
 
TEST21
  For a positive definite symmetric 
  packed matrix,
  SPPFA factors the matrix.
  SPPSL solves a factored linear system.
  The matrix size is N =       20
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (Should be 1,2,3,4,5,...,n-1,n):
 
         1   1.000000e+000
         2   2.000001e+000
         3   3.000002e+000
         4   4.000002e+000
         5   5.000002e+000
  ......  ..............
        16   1.600001e+001
        17   1.700001e+001
        18   1.800001e+001
        19   1.900001e+001
        20   2.000001e+001
 
TEST22
  For a positive definite symmetric
  tridiagonal matrix,
  SPTSL factors and solves a linear system.
  The matrix size is N =       20
 
  Factor the matrix and solve the system.
 
  The first and last 5 solution entries:
  (Should be 1,2,3,4,5,...,n-1,n):
 
         1   9.999995e-001
         2   1.999999e+000
         3   2.999998e+000
         4   3.999998e+000
         5   4.999997e+000
  ......  ..............
        16   1.600000e+001
        17   1.700000e+001
        18   1.800000e+001
        19   1.900000e+001
        20   2.000000e+001
 
TEST23
  For a general matrix,
  SQRDC computes the QR decomposition of a 
  matrix, but does not return Q and R
  explicitly.
 
  Recover Q and R using SQRSL.
 
  The original matrix A:
 
   1.000000e+000 1.000000e+000 0.000000e+000
   1.000000e+000 0.000000e+000 1.000000e+000
   0.000000e+000 1.000000e+000 1.000000e+000
 
  Decompose the matrix.
 
  The packed matrix A,
  describing Q and R:
 
  -1.414214e+000-7.071068e-001-7.071068e-001
   7.071068e-001 1.224745e+000 4.082482e-001
   0.000000e+000-8.164966e-001 1.154701e+000
 
  The QRAUX vector, containing additional
  information defining Q:
 
   1.707107e+000 1.577350e+000 0.000000e+000
 
  The R factor:
 
  -1.414214e+000-7.071068e-001-7.071068e-001
   0.000000e+000 1.224745e+000 4.082482e-001
   0.000000e+000 0.000000e+000 1.154701e+000
 
  The Q factor:
 
  -7.071068e-001 4.082483e-001-5.773503e-001
  -7.071068e-001-4.082483e-001 5.773503e-001
   0.000000e+000 8.164966e-001 5.773503e-001
 
  The product Q * R:
 
   1.000000e+000 1.000000e+000-5.960464e-008
   9.999999e-001-5.960464e-008 1.000000e+000
   0.000000e+000 1.000000e+000 1.000000e+000
 
TEST24
  For a symmetric indefinite matrix,
  SSICO estimates the reciprocal condition
  number.
  The matrix size is N =      100
 
  Estimate the condition.
 
  Estimated reciprocal condition =  2.450499e-004
 
TEST25
  For a symmetric indefinite matrix,
  SSIFA factors the matrix,
  SSISL solves a factored linear system,
  The matrix size is N =      100
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (Should be (1,2,3,4,5,...,n-1,n))
 
         1   1.000002e+000
         2   2.000005e+000
         3   3.000007e+000
         4   4.000009e+000
         5   5.000010e+000
  ......  ..............
        96   9.599997e+001
        97   9.699998e+001
        98   9.799999e+001
        99   9.900000e+001
       100   1.000000e+002
 
TEST26
  For a symmetric indefinite packed matrix,
  SSPCO estimates the reciprocal condition
  number.
  The matrix size is N =      100
 
  Estimate the condition.
 
  Estimated reciprocal condition =  2.450499e-004
 
TEST27
  For a symmetric indefinite packed matrix,
  SSPFA factors the matrix,
  SSPSL solves a factored linear system.
  The matrix size is N =      100
 
  Factor the matrix.
 
  Solve the linear system.
 
  The first and last 5 solution entries:
  (Should be (1,2,3,4,5,...,n-1,n))
 
         1   1.000002e+000
         2   2.000005e+000
         3   3.000007e+000
         4   4.000009e+000
         5   5.000010e+000
  ......  ..............
        96   9.599997e+001
        97   9.699998e+001
        98   9.799999e+001
        99   9.900000e+001
       100   1.000000e+002
 
TEST28
  For an MxN matrix A in general storage,
  SSVDC computes the singular value 
  decomposition:
    A = U * S * V'
 
  Matrix rows M =           6
  Matrix columns N =        4
 
  The matrix A:
 
      0.2184    0.2576    0.4013    0.0945
      0.9563    0.1100    0.7547    0.0136
      0.8295    0.0438    0.7973    0.8591
      0.5617    0.6340    0.0018    0.8408
      0.4153    0.0617    0.8975    0.1231
      0.0661    0.4495    0.3508    0.0075
 
  Decompose the matrix.
 
  Singular values:
 
     1   2.228984e+000
     2   1.031751e+000
     3   6.063037e-001
     4   4.410981e-001
 
  Left Singular Vector Matrix U:
 
     -0.2149    0.0703    0.3516    0.1415   -0.5697   -0.6933
     -0.4939    0.3994    0.0408   -0.7659   -0.0327    0.0848
     -0.6210   -0.1220   -0.5412    0.3511   -0.3416    0.2581
     -0.3787   -0.8039    0.2117   -0.1950    0.3196   -0.1592
     -0.3942    0.4170    0.1135    0.4246    0.6525   -0.2275
     -0.1594    0.0218    0.7240    0.2274   -0.1725    0.6071
 
  Right Singular Vector Matrix V:
 
     -0.6377    0.0186   -0.1965   -0.7446
     -0.2122   -0.4046    0.8873   -0.0625
     -0.6122    0.5940    0.1595    0.4970
     -0.4167   -0.6951   -0.3855    0.4412
 
  The product U * S * V' (should equal A):
 
      0.2184    0.2576    0.4013    0.0945
      0.9563    0.1100    0.7547    0.0136
      0.8295    0.0438    0.7973    0.8591
      0.5617    0.6340    0.0018    0.8408
      0.4153    0.0617    0.8975    0.1231
      0.0661    0.4495    0.3508    0.0075
 
TEST29
  For a triangular matrix,
  STRCO computes the LU factors and
  computes its reciprocal condition number.
  The matrix size is N =        5
 
  Lower triangular matrix A:
 
   2.184183e-001 0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
   9.563176e-001 2.575778e-001 0.000000e+000 0.000000e+000 0.000000e+000
   8.295093e-001 1.099568e-001 4.013063e-001 0.000000e+000 0.000000e+000
   5.616955e-001 4.382900e-002 7.546735e-001 9.454475e-002 0.000000e+000
   4.153071e-001 6.339657e-001 7.972869e-001 1.361689e-002 2.603030e-001
 
  Estimate the condition:
 
  The reciprocal condition number =  4.819963e-003
 
  Upper triangular matrix A:
 
   9.124837e-001 6.920665e-001 5.979169e-001 5.743659e-001 7.144712e-001
   0.000000e+000 5.616625e-001 1.889547e-001 3.670267e-001 1.177069e-001
   0.000000e+000 0.000000e+000 7.614921e-001 6.172048e-001 2.993292e-001
   0.000000e+000 0.000000e+000 0.000000e+000 3.615287e-001 8.250030e-001
   0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 8.246601e-001
 
  Estimate the condition:
 
  The reciprocal condition number =  6.140108e-002
 
TEST30
  For a triangular matrix,
  STRDI computes the determinant or inverse.
  The matrix size is N =        5
 
  Lower triangular matrix A:
 
   2.184183e-001 0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
   9.563176e-001 2.575778e-001 0.000000e+000 0.000000e+000 0.000000e+000
   8.295093e-001 1.099568e-001 4.013063e-001 0.000000e+000 0.000000e+000
   5.616955e-001 4.382900e-002 7.546735e-001 9.454475e-002 0.000000e+000
   4.153071e-001 6.339657e-001 7.972869e-001 1.361689e-002 2.603030e-001
 
  The determinant =  5.556355e+000 * 10 ** -4.000000e+000
 
  The inverse matrix:
 
   4.578371e+000 0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000
  -1.699827e+001 3.882322e+000 0.000000e+000 0.000000e+000 0.000000e+000
  -4.806119e+000-1.063745e+000 2.491862e+000 0.000000e+000 0.000000e+000
   1.904303e+001 6.691244e+000-1.989050e+001 1.057700e+001 0.000000e+000
   4.781905e+001-6.547228e+000-6.591866e+000-5.533009e-001 3.841677e+000
 
  Upper triangular matrix A:
 
   9.124837e-001 6.920665e-001 5.979169e-001 5.743659e-001 7.144712e-001
   0.000000e+000 5.616625e-001 1.889547e-001 3.670267e-001 1.177069e-001
   0.000000e+000 0.000000e+000 7.614921e-001 6.172048e-001 2.993292e-001
   0.000000e+000 0.000000e+000 0.000000e+000 3.615287e-001 8.250030e-001
   0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 8.246601e-001
 
  The determinant =  1.163546e+000 * 10 ** -1.000000e+000
 
  The inverse matrix:
 
   1.095910e+000-1.350353e+000-5.254258e-001 5.268119e-001-1.093052e+000
   0.000000e+000 1.780429e+000-4.417910e-001-1.053275e+000 9.599440e-001
   0.000000e+000 0.000000e+000 1.313211e+000-2.241925e+000 1.766198e+000
   0.000000e+000 0.000000e+000 0.000000e+000 2.766032e+000-2.767182e+000
   0.000000e+000 0.000000e+000 0.000000e+000 0.000000e+000 1.212621e+000
 
TEST31
  For a triangular matrix,
  STRSL solves a linear system.
  The matrix size is N =        5
 
  For a lower triangular matrix A,
  solve A * x = b
 
  The solution (should be 1,2,3,4,5):
 
         1   1.000000e+000
         2   2.000000e+000
         3   3.000000e+000
         4   4.000000e+000
         5   5.000000e+000
 
  For a lower triangular matrix A,
  solve A' * x = b
 
  The solution (should be 1,2,3,4,5):
 
         1   9.999992e-001
         2   2.000001e+000
         3   2.999999e+000
         4   4.000000e+000
         5   5.000000e+000
 
  For an upper triangular matrix A,
  solve A * x = b
 
  The solution (should be 1,2,3,4,5):
 
         1   9.999999e-001
         2   2.000000e+000
         3   3.000001e+000
         4   3.999999e+000
         5   5.000000e+000
 
  For an upper triangular matrix A,
  solve A' * x = b
 
  The solution (should be 1,2,3,4,5):
 
         1   1.000000e+000
         2   2.000000e+000
         3   3.000000e+000
         4   4.000000e+000
         5   5.000000e+000
 
linpack_s_test
  Normal end of execution.
 
rc= 0
** linpack/b-linpack-z-test.f
 
linpack_z_test():
  FORTRAN77 version
  Test linpack_z().
 
TEST01
  For a double complex Hermitian 
  positive definite matrix,
  ZCHDC computes the Cholesky decomposition.
 
  The number of equations is N =        3
 
  The matrix A:
 
      2.5281    0.0000    2.1341   -0.2147    2.4187    0.2932
      2.1341    0.2147    3.0371    0.0000    2.0905    1.1505
      2.4187   -0.2932    2.0905   -1.1505    2.7638    0.0000
 
  Decompose the matrix.
 
  The Cholesky factor U:
 
      1.5900    0.0000    1.3422   -0.1350    1.5212    0.1844
      0.0000    0.0000    1.1033    0.0000    0.0668    0.6322
      0.0000    0.0000    0.0000    0.0000    0.1076    0.0000
 
  The product U^H * U: 
 
      2.5281    0.0000    2.1341   -0.2147    2.4187    0.2932
      2.1341    0.2147    3.0371    0.0000    2.0905    1.1505
      2.4187   -0.2932    2.0905   -1.1505    2.7638    0.0000
 
TEST02
  For a double complex Hermitian
  positive definite matrix,
  ZCHEX can shift columns in a Cholesky factorization.
 
  The number of equations is N =        3
 
  The matrix A:
 
      2.5281    0.0000    2.1341   -0.2147    2.4187    0.2932
      2.1341    0.2147    3.0371    0.0000    2.0905    1.1505
      2.4187   -0.2932    2.0905   -1.1505    2.7638    0.0000
 
  The vector Z:
 
   1.000000e+000 0.000000e+000
   2.000000e+000 0.000000e+000
   3.000000e+000 0.000000e+000
 
  Decompose the matrix.
 
  The Cholesky factor U:
 
      1.5900    0.0000    1.3422   -0.1350    1.5212    0.1844
      0.0000    0.0000    1.1033    0.0000    0.0668    0.6322
      0.0000    0.0000    0.0000    0.0000    0.1076    0.0000
 
  Right circular shift columns K  =        1 through L =        3
 
  Left circular shift columns K+1 =        2 through L =        3
 
  The shifted Cholesky factor U:
 
      1.6504    0.2001    1.3316   -0.5357    1.4655    0.0000
      0.0000    0.0000    0.8500   -0.5045   -0.1357   -0.5905
      0.0000    0.0000    0.0000    0.0000   -0.1051   -0.0463
 
  The shifted vector Z:
 
   1.285652e+000-7.220655e-001
   1.472225e+000-3.939388e-001
   3.081927e+000 6.937989e-002
 
  The shifted product U' * U: 
 
      2.7638    0.0000    2.0905   -1.1505    2.4187   -0.2932
      2.0905    1.1505    3.0371    0.0000    2.1341    0.2147
      2.4187    0.2932    2.1341   -0.2147    2.5281    0.0000
 
TEST03
  For a double complex Hermitian matrix
  ZCHUD updates a Cholesky decomposition.
  ZTRSL solves a triangular linear system.
 
  In this example, we use ZCHUD to solve a
  least squares problem R * b = z.
 
  The number of equations is P =       20
 
  Solution vector #        1
  (Should be (1,1) (2,0), (3,1) (4,0) ...)
 
         1   1.000000e+000 1.000000e+000
         2   2.000000e+000-3.505853e-015
         3   3.000000e+000 1.000000e+000
         4   4.000000e+000-6.412629e-015
         5   5.000000e+000 1.000000e+000
  ......  ..............
        16   1.600000e+001 2.144387e-014
        17   1.700000e+001 1.000000e+000
        18   1.800000e+001-7.125053e-015
        19   1.900000e+001 1.000000e+000
        20   2.000000e+001-2.344236e-014
 
TEST04
  For a double complex 
  general band storage matrix:
  ZGBCO factors the matrix and estimates the
  reciprocal condition number.
 
  The matrix order is N =      3
  The lower band is ML =       1
  The upper band is MU =       1
 
  The matrix A is 
 
  0.4499 -0.1267  0.5896  0.2601  0.0000  0.0000
 -0.8432 -0.3443  0.3911  0.3234 -0.2361  0.0775
  0.0000  0.0000 -0.1395 -0.1561  0.0186 -0.6332
 
  Estimated reciprocal condition RCOND =  3.217780e-001
 
TEST05
  For a double complex
  general band storage matrix:
  ZGBFA factors the matrix;
  ZGBSL solves a factored linear system.
 
  The matrix order is N =      3
  The lower band is ML =       1
  The upper band is MU =       1
 
  The matrix A is 
 
  0.4499 -0.1267  0.5896  0.2601  0.0000  0.0000
 -0.8432 -0.3443  0.3911  0.3234 -0.2361  0.0775
  0.0000  0.0000 -0.1395 -0.1561  0.0186 -0.6332
 
  The right hand side B is 
 
 -0.1262  0.1961
 -1.2899 -0.1811
  0.2198 -0.2125
 
  Computed                     Exact
  Solution                     Solution
 
 8.928497e-001 1.031361e-002 8.928497e-001 1.031361e-002
-5.604651e-001 7.637951e-001-5.604651e-001 7.637951e-001
 3.063566e-001 2.627523e-002 3.063566e-001 2.627523e-002
 
TEST06
  For a double complex
  general band storage matrix:
  ZGBFA factors the matrix.
  ZGBDI computes the determinant.
 
  The matrix order is N =      3
  The lower band is ML =       1
  The upper band is MU =       1
 
  The matrix A is 
 
  0.4499 -0.1267  0.5896  0.2601  0.0000  0.0000
 -0.8432 -0.3443  0.3911  0.3234 -0.2361  0.0775
  0.0000  0.0000 -0.1395 -0.1561  0.0186 -0.6332
 
  Determinant =  3.162239e+000-3.918540e+000 * 10** -1.000000e+000
 
TEST07
  For a double complex
  general storage matrix:
  ZGECO factors the matrix and estimates the
  reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
 -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
  0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
  Estimated reciprocal condition RCOND =  1.229364e-002
 
TEST08
  For a double complex
  general storage matrix:
  ZGEFA factors the matrix.
  ZGESL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
 -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
  0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
  The right hand side B is 
 
  0.6063 -0.3917
 -0.1281 -0.0787
 -0.0931  0.5765
 
  Computed                     Exact
  Solution                     Solution
 
 3.063566e-001 2.627523e-002 3.063566e-001 2.627523e-002
 5.008043e-001-7.799307e-001 5.008043e-001-7.799307e-001
 3.504709e-001 1.655507e-002 3.504709e-001 1.655507e-002
 
TEST09
  For a double complex
  general storage matrix:
  ZGEFA factors the matrix.
  ZGEDI computes the determinant or inverse.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
 -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
  0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
  Determinant = -3.630740e+000-5.582360e+000 * 10** -2.000000e+000
 
  The product inv(A) * A is 
 
  1.0000  0.0000 -0.0000  0.0000  0.0000 -0.0000
  0.0000 -0.0000  1.0000  0.0000  0.0000 -0.0000
  0.0000  0.0000 -0.0000 -0.0000  1.0000 -0.0000
 
TEST10
  For a double complex
  tridiagonal matrix:
  ZGTSL solves a linear system.
 
  Matrix order N =     10
 
  Computed                     Exact
  Solution                     Solution
 
 1.000000e+000 1.000000e+001 1.000000e+000 1.000000e+001
 2.000000e+000 2.000000e+001 2.000000e+000 2.000000e+001
 3.000000e+000 3.000000e+001 3.000000e+000 3.000000e+001
 4.000000e+000 4.000000e+001 4.000000e+000 4.000000e+001
 5.000000e+000 5.000000e+001 5.000000e+000 5.000000e+001
 6.000000e+000 6.000000e+001 6.000000e+000 6.000000e+001
 7.000000e+000 7.000000e+001 7.000000e+000 7.000000e+001
 8.000000e+000 8.000000e+001 8.000000e+000 8.000000e+001
 9.000000e+000 9.000000e+001 9.000000e+000 9.000000e+001
 1.000000e+001 1.000000e+002 1.000000e+001 1.000000e+002
 
TEST11
  For a double complex Hermitian matrix:
  ZHICO factors the matrix and estimates
  the reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584 -0.6458  0.3803
  0.4685  0.8584  0.0661  0.0000  0.3911  0.3234
 -0.6458 -0.3803  0.3911 -0.3234  0.0438  0.0000
 
  Estimated reciprocal condition RCOND =  2.359186e-001
 
TEST12
  For a double complex Hermitian matrix:
  ZHIFA factors the matrix.
  ZHISL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584 -0.6458  0.3803
  0.4685  0.8584  0.0661  0.0000  0.3911  0.3234
 -0.6458 -0.3803  0.3911 -0.3234  0.0438  0.0000
 
  The right hand side B is 
 
  0.3915  1.3499
  0.4188  0.5569
 -0.4378 -0.1823
 
  Computed                     Exact
  Solution                     Solution
 
 7.370818e-001 3.011248e-001 7.370818e-001 3.011248e-001
-5.456433e-001 3.896310e-001-5.456433e-001 3.896310e-001
 2.543269e-001-8.306572e-001 2.543269e-001-8.306572e-001
 
TEST13
  For a double complex hermitian matrix:
  ZHIFA factors the matrix.
  ZHIDI computes the determinant, inverse,
  or inertia.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584 -0.6458  0.3803
  0.4685  0.8584  0.0661  0.0000  0.3911  0.3234
 -0.6458 -0.3803  0.3911 -0.3234  0.0438  0.0000
 
  Determinant = -8.700617e+000 * 10** -1.000000e+000
 
  The inertia:
 
       2
       1
       0
 
  The product inv(A) * A is 
 
  1.0000  0.0000 -0.0000  0.0000  0.0000 -0.0000
 -0.0000  0.0000  1.0000 -0.0000 -0.0000  0.0000
  0.0000  0.0000 -0.0000  0.0000  1.0000  0.0000
 
TEST14
  For a double complex Hermitian matrix
  using packed storage,
  ZHPCO factors the matrix and estimates
  the reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584  0.5896  0.2601
  0.4685  0.8584  0.5617  0.0000  0.3911  0.3234
  0.5896 -0.2601  0.3911 -0.3234  0.0438  0.0000
 
  Estimated reciprocal condition RCOND =  3.400641e-002
 
TEST15
  For a double complex Hermitian matrix,
  using packed storage,
  ZHPFA factors the matrix.
  ZHPSL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584  0.5896  0.2601
  0.4685  0.8584  0.5617  0.0000  0.3911  0.3234
  0.5896 -0.2601  0.3911 -0.3234  0.0438  0.0000
 
  The right hand side B is 
 
  0.6058  0.2931
  0.1484  0.7500
  0.4367  0.2783
 
  Computed                     Exact
  Solution                     Solution
 
 7.370818e-001 3.011248e-001 7.370818e-001 3.011248e-001
-5.456433e-001 3.896310e-001-5.456433e-001 3.896310e-001
 2.543269e-001-8.306572e-001 2.543269e-001-8.306572e-001
 
TEST16
  For a double complex hermitian matrix,
  using packed storage,
  ZHPFA factors the matrix.
  ZHPDI computes the determinant, inverse,
  or inertia.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.2184  0.0000  0.4685 -0.8584  0.5896  0.2601
  0.4685  0.8584  0.5617  0.0000  0.3911  0.3234
  0.5896 -0.2601  0.3911 -0.3234  0.0438  0.0000
 
  Determinant =  1.215350e+000 * 10** -1.000000e+000
 
  The inertia:
 
       1
       2
       0
 
  The product inv(A) * A is 
 
  1.0000  0.0000  0.0000  0.0000  0.0000  0.0000
 -0.0000 -0.0000  1.0000  0.0000 -0.0000 -0.0000
  0.0000 -0.0000 -0.0000 -0.0000  1.0000 -0.0000
 
TEST17
  For a double complex positive definite 
  hermitian band matrix,
  ZPBCO estimates the reciprocal condition number.
  The matrix size is N =        3
 
  Estimate the condition.
 
  Reciprocal condition  =  1.535879e-001
 
TEST18
  For a double complex positive definite 
  hermitian band matrix,
  ZPBDI computes the determinant as
    det = MANTISSA * 10**EXPONENT
 
  Determinant =  6.095706e+000 * 10**  1.000000e+000
 
TEST19
  For a double complex positive definite 
  hermitian band matrix,
  ZPBFA computes the LU factors.
  ZPBSL solves a factored linear system.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Solve the linear system.
 
  The solution:
  (Should be roughly (1,2,3)):
 
         1   1.000000e+000 2.086951e-016
         2   2.000000e+000-4.429217e-016
         3   3.000000e+000 2.653009e-016
 
TEST20
  For a double complex
  Hermitian positive definite matrix,
  ZPOCO estimates the reciprocal condition number.
  The matrix size is N =        3
 
  Estimate the condition.
 
  Reciprocal condition  =  6.019063e-004
 
TEST21
  For a double complex
  Hermitian positive definite matrix,
  ZPOFA computes the LU factors,
  ZPODI computes the inverse or determinant.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Get the determinant and inverse.
 
  Determinant  =  3.560195e+000 * 10 ** -2.000000e+000
 
  First row of inverse:
 
     75.8413    0.0000  -14.1736  -44.2782  -74.0826   31.3459
 
TEST22
  For a double complex
  Hermitian positive definite matrix,
  ZPOFA computes the LU factors.
  ZPOSL solves a factored linear system.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Solve the linear system.
 
  The solution:
  (Should be (1+2i),(3+4i),(5+6i):
 
         1   1.000000e+000 2.000000e+000
         2   3.000000e+000 4.000000e+000
         3   5.000000e+000 6.000000e+000
 
TEST23
  For a double complex
  Hermitian positive definite packed matrix,
  ZPPCO estimates the reciprocal condition number.
  The matrix size is N =        3
 
  Estimate the condition number.
 
  Reciprocal condition number =  6.019063e-004
 
TEST24
  For a double complex
  Hermitian positive definite packed matrix,
  ZPPFA factors the matrix.
  ZPPDI computes the inverse or determinant.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Get the determinant and inverse.
 
  Determinant  =  3.560195e+000 * 10 ** -2.000000e+000
 
  Inverse:
 
     75.8413    0.0000  -14.1736  -44.2782  -74.0826   31.3459
    -14.1736   44.2782   29.5233    0.0000   -5.2299  -49.5357
    -74.0826  -31.3459   -5.2299   49.5357   86.4451    0.0000
 
TEST25
  For a double complex
  Hermitian positive definite packed matrix,
  ZPPFA factors the matrix.
  ZPPSL solves a factored linear system.
  The matrix size is N =        3
 
  Factor the matrix.
 
  Solve the linear system.
 
  The solution:
  (Should be (1+2i),(3+4i),(5+6i):
 
         1   1.000000e+000 2.000000e+000
         2   3.000000e+000 4.000000e+000
         3   5.000000e+000 6.000000e+000
 
TEST26
  For a double complex
  Hermitian positive definite 
  tridiagonal matrix,
  ZPTSL factors and solves a linear system.
  The matrix size is N =        3
 
  Factor the matrix and solve the system.
 
  The solution:
  (Should be roughly (1,2,3)):
 
         1   1.000000e+000 1.716296e-016
         2   2.000000e+000-3.143010e-016
         3   3.000000e+000 1.864433e-016
 
TEST27
  For a double complex general matrix,
  ZQRDC computes the QR decomposition of a 
  matrix, but does not return Q and R explicitly.
 
  Show how Q and R can be recovered using ZQRSL.
 
  The matrix A is 
 
  0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
 -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
  0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
  Decompose the matrix.
 
  The packed matrix A which describes Q and R:
 
 -1.1644  0.3279 -0.2355 -0.2650  0.4991 -0.6664
 -0.5938 -0.4629  0.1053 -0.4758 -1.1703  0.1429
  0.4109  0.3391 -0.3781  0.6677 -0.0980  0.0561
 
  The QRAUX vector, containing some
  additional information defining Q:
 
    1.3864 -0.0000  1.6413  0.0000  0.0000  0.0000
 
  The R factor:
 
   -1.1644  0.3279 -0.2355 -0.2650  0.4991 -0.6664
    0.0000  0.0000  0.1053 -0.4758 -1.1703  0.1429
    0.0000  0.0000  0.0000  0.0000 -0.0980  0.0561
 
  The Q factor:
 
   -0.3864 -0.0000 -0.3098  0.6994  0.2701  0.4389
    0.5938  0.4629 -0.2751 -0.1962  0.4090  0.3895
   -0.4109 -0.3391  0.1152 -0.5362  0.6140  0.1962
 
  The product Q * R:
 
    0.4499 -0.1267  0.3911  0.3234  0.0186 -0.6332
   -0.8432 -0.3443 -0.1395 -0.1561  0.8928  0.0103
    0.5896  0.2601 -0.2361  0.0775 -0.5605  0.7638
 
TEST28
  For a double complex symmetric matrix:
  ZSICO factors the matrix and estimates
  the reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.5896  0.2601
 -0.8432 -0.3443  0.3911  0.3234 -0.1395 -0.1561
  0.5896  0.2601 -0.1395 -0.1561 -0.2361  0.0775
 
  Estimated reciprocal condition RCOND =  4.753229e-002
 
TEST29
  For a double complex symmetric matrix:
  ZSIFA factors the matrix.
  ZSISL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.5896  0.2601
 -0.8432 -0.3443  0.3911  0.3234 -0.1395 -0.1561
  0.5896  0.2601 -0.1395 -0.1561 -0.2361  0.0775
 
  The right hand side B is 
 
 -1.3503 -0.2987
  0.3096  0.8013
  0.1259 -0.7331
 
  Computed                     Exact
  Solution                     Solution
 
 1.859929e-002-6.332143e-001 1.859929e-002-6.332143e-001
 8.928497e-001 1.031361e-002 8.928497e-001 1.031361e-002
-5.604651e-001 7.637951e-001-5.604651e-001 7.637951e-001
 
TEST30
  For a double complex symmetric matrix:
  ZSIFA factors the matrix.
  ZSIDI computes the determinant or inverse.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.5896  0.2601
 -0.8432 -0.3443  0.3911  0.3234 -0.1395 -0.1561
  0.5896  0.2601 -0.1395 -0.1561 -0.2361  0.0775
 
  Determinant =  9.438432e-001 9.966606e-001 * 10** -1.000000e+000
 
  The product inv(A) * A is 
 
  1.0000  0.0000  0.0000 -0.0000 -0.0000  0.0000
  0.0000  0.0000  1.0000 -0.0000 -0.0000  0.0000
  0.0000  0.0000 -0.0000 -0.0000  1.0000  0.0000
 
TEST31
  For a double complex symmetric matrix
  in packed storage,
  ZSPCO factors the matrix and estimates
  the reciprocal condition number.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.3911  0.3234
 -0.8432 -0.3443  0.5896  0.2601 -0.1395 -0.1561
  0.3911  0.3234 -0.1395 -0.1561 -0.2361  0.0775
 
  Estimated reciprocal condition RCOND =  5.761920e-002
 
TEST32
  For a double complex symmetric matrix
  in packed storage,
  ZSPFA factors the matrix.
  ZSPSL solves a linear system.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.3911  0.3234
 -0.8432 -0.3443  0.5896  0.2601 -0.1395 -0.1561
  0.3911  0.3234 -0.1395 -0.1561 -0.2361  0.0775
 
  The right hand side B is 
 
 -1.2874 -0.4858
  0.4875  0.7468
  0.1623 -0.6062
 
  Computed                     Exact
  Solution                     Solution
 
 1.859929e-002-6.332143e-001 1.859929e-002-6.332143e-001
 8.928497e-001 1.031361e-002 8.928497e-001 1.031361e-002
-5.604651e-001 7.637951e-001-5.604651e-001 7.637951e-001
 
TEST33
  For a double complex symmetric matrix
  in packed storage,
  ZSPFA factors the matrix.
  ZSPDI computes the determinant or inverse.
 
  The matrix order is N =      3
 
  The matrix A is 
 
  0.4499 -0.1267 -0.8432 -0.3443  0.3911  0.3234
 -0.8432 -0.3443  0.5896  0.2601 -0.1395 -0.1561
  0.3911  0.3234 -0.1395 -0.1561 -0.2361  0.0775
 
  Determinant =  7.885271e-001 1.041451e+000 * 10** -1.000000e+000
 
  The product inv(A) * A is 
 
  1.0000  0.0000 -0.0000  0.0000  0.0000  0.0000
  0.0000  0.0000  1.0000  0.0000  0.0000  0.0000
  0.0000  0.0000 -0.0000  0.0000  1.0000 -0.0000
 
TEST34
  For an MxN matrix A in double complex general storage,
  ZSVDC computes the singular value decomposition:
    A = U * S * V^H
 
  Matrix rows M =           4
  Matrix columns N =        3
 
  The matrix A:
 
      0.4499   -0.1267   -0.1395   -0.1561   -0.5605    0.7638
     -0.8432   -0.3443   -0.2361    0.0775    0.3064    0.0263
      0.5896    0.2601    0.0186   -0.6332    0.5008   -0.7799
      0.3911    0.3234    0.8928    0.0103    0.3505    0.0166
 
  Decompose the matrix.
 
  Singular values:
 
     1   1.729968e+000 0.000000e+000
     2   1.300870e+000 0.000000e+000
     3   5.604977e-001 0.000000e+000
 
  Left Singular Vector Matrix U:
 
      0.0006   -0.3456   -0.6466   -0.1036   -0.1390    0.4739    0.3709    0.2651
     -0.3518   -0.0920    0.4726    0.3090   -0.3977   -0.0478    0.3892    0.4868
      0.6124    0.3271    0.1879    0.2403    0.3439    0.3499    0.0786    0.4219
      0.1009    0.5061   -0.3989    0.0116   -0.0505   -0.5936    0.4616    0.0798
 
  Right Singular Vector Matrix V:
 
      0.5906    0.0000   -0.5855    0.0000    0.5554    0.0000
      0.0170    0.5445   -0.3736   -0.0447   -0.4119   -0.6261
     -0.1614    0.5731    0.1563    0.7009    0.3363    0.1295
 
  The product U * S * V^H (should equal A):
 
      0.4499   -0.1267   -0.1395   -0.1561   -0.5605    0.7638
     -0.8432   -0.3443   -0.2361    0.0775    0.3064    0.0263
      0.5896    0.2601    0.0186   -0.6332    0.5008   -0.7799
      0.3911    0.3234    0.8928    0.0103    0.3505    0.0166
 
TEST345
  For an MxN matrix A in double complex general storage,
  ZSVDC computes the singular value decomposition:
    A = U * S * V^H
 
  Matrix rows M =           4
  Matrix columns N =        4
 
  The matrix A:
 
      1.0000    0.0000    1.0000    0.0000    1.0000    0.0000    1.0000    0.0000
      0.0000   -1.0000   -1.0000    0.0000    1.0000    0.0000    0.0000    1.0000
     -1.0000    0.0000   -1.0000    0.0000    1.0000    0.0000   -1.0000    0.0000
      0.0000    1.0000    1.0000    0.0000    1.0000    0.0000    0.0000   -1.0000
 
  Decompose the matrix.
 
  Singular values:
 
     1   2.828427e+000 0.000000e+000
     2   2.000000e+000 0.000000e+000
     3   2.000000e+000 0.000000e+000
     4   0.000000e+000 0.000000e+000
 
  Left Singular Vector Matrix U:
 
      0.3536    0.3536    0.4218   -0.2684   -0.3536    0.3536   -0.3298    0.3758
     -0.3536   -0.3536    0.4218   -0.2684   -0.3536    0.3536    0.3298   -0.3758
     -0.3536   -0.3536    0.4218   -0.2684    0.3536   -0.3536   -0.3298    0.3758
      0.3536    0.3536    0.4218   -0.2684    0.3536   -0.3536    0.3298   -0.3758
 
  Right Singular Vector Matrix V:
 
      0.5000    0.0000    0.0000    0.0000   -0.7071    0.0000   -0.5000    0.0000
      0.5000    0.5000   -0.0000   -0.0000    0.0000    0.0000    0.5000    0.5000
      0.0000    0.0000    0.8437   -0.5369    0.0000    0.0000    0.0000    0.0000
     -0.0000    0.5000   -0.0000   -0.0000   -0.0000    0.7071    0.0000   -0.5000
 
  The product U * S * V^H (should equal A):
 
      1.0000    0.0000    1.0000   -0.0000    1.0000    0.0000    1.0000    0.0000
     -0.0000   -1.0000   -1.0000    0.0000    1.0000    0.0000    0.0000    1.0000
     -1.0000    0.0000   -1.0000    0.0000    1.0000   -0.0000   -1.0000    0.0000
      0.0000    1.0000    1.0000   -0.0000    1.0000    0.0000    0.0000   -1.0000
 
TEST35
  For a double complex triangular matrix,
  ZTRCO estimates the condition.
 
  Matrix order N =      3
 
  Estimated reciprocal condition RCOND =  7.261353e-002
 
TEST36
  For a double complex triangular matrix,
  ZTRDI computes the determinant or inverse.
 
  Matrix order N =      3
 
  Determinant = -7.367153e+000 1.310818e+000 * 10** -2.000000e+000
 
  The product inv(A) * A is 
 
  1.0000  0.0000  0.0000  0.0000  0.0000  0.0000
  0.0000 -0.0000  1.0000  0.0000  0.0000  0.0000
  0.0000  0.0000  0.0000  0.0000  1.0000  0.0000
 
TEST37
  For a double complex triangular matrix,
  ZTRSL solves a linear system.
 
  Matrix order N =     10
 
  Computed                     Exact
  Solution                     Solution
 
 1.000000e+000 1.000000e+001 1.000000e+000 1.000000e+001
 2.000000e+000 2.000000e+001 2.000000e+000 2.000000e+001
 3.000000e+000 3.000000e+001 3.000000e+000 3.000000e+001
 4.000000e+000 4.000000e+001 4.000000e+000 4.000000e+001
 5.000000e+000 5.000000e+001 5.000000e+000 5.000000e+001
 6.000000e+000 6.000000e+001 6.000000e+000 6.000000e+001
 7.000000e+000 7.000000e+001 7.000000e+000 7.000000e+001
 8.000000e+000 8.000000e+001 8.000000e+000 8.000000e+001
 9.000000e+000 9.000000e+001 9.000000e+000 9.000000e+001
 1.000000e+001 1.000000e+002 1.000000e+001 1.000000e+002
 
linpack_z_test():
  Normal end of execution.
 
rc= 0
** linpack/dch.f
1linpack tester, dch**
 this version dated 08/14/78.


1case  1

 5 x 5 no pivoting.

 job and jpvt before the decomposition.
    0
    0    0    0    0    0

 the value of  kd  =    5

 jpvt

     0    0    0    0    0


 a - trans(r)*r =  4.91753434e+291


1case  2

 monoelemental matrix.

 job and jpvt before the decomposition.
    1
    0

 the value of  kd  =    1

 jpvt

     1


 a - trans(r)*r =  0.00000000e+000


1case  3

 8 x 8 pivot logic test.

 job and jpvt before the decomposition.
    1
    1   -1    1   -1    1   -1    1   -1

 the value of  kd  =    8

 jpvt

     1    3    5    7    2    6    4    8


 a - trans(r)*r =  9.60995215e+291


1case  4

 6 x 6 negative eigenvalue test.

 job and jpvt before the decomposition.
    1
    0    0    0    0    0    0

 the value of  kd  =    5

 jpvt

     1    5    2    6    3    4


 a - trans(r)*r =  9.66060498e+307


1case  5

 25 x 25 matrix.

 job and jpvt before the decomposition.
    1
    0    0    0    0    0    0    0    0    0    0

 job and jpvt before the decomposition.
    0
    0    0    0    0    0    0    0    0    0    0

 job and jpvt before the decomposition.
    0
    0    0    0

 the value of  kd  =   25

 jpvt

    25   24   23   22   21   20   19   18   17   16

 jpvt

    15   14   13   12   11   10    9    8    7    6

 jpvt

     5    4    3    2    1


 a - trans(r)*r =  1.03809541e+292


1case  6

 5 x 5 pivot and underflow test.

 job and jpvt before the decomposition.
    1
    0    0    0    0    0

 the value of  kd  =    0

 jpvt

     1    2    3    4    5


 a - trans(r)*r =  2.69653970e+308


1case  7

 5 x 5 pivot and overflow test.

 job and jpvt before the decomposition.
    1
    0    0    0    0    0

 the value of  kd  =    5

 jpvt

     5    4    3    2    1


 a - trans(r)*r =  8.84212661e+291



 end of test

rc= 0
** linpack/dg.f
1linpack tester, dge**, dgb**
 this version dated 08/14/78.

 epsilon     = 2.22507e-308
 
 kase  1   hilbert slice   
 n =   3
 norm(a)     = 1.83333e+000
 
 1.0000e+0005.0000e-0013.3333e-001
 5.0000e-0013.3333e-0012.5000e-001
 3.3333e-0012.5000e-0012.0000e-001
 

 null =
 8.347908e-002
-4.665056e-001
 4.500153e-001
 
 ml = 2  mu = 2
 cond        = 6.80809e+002
 actual cond = 7.48000e+002
 det fract   =  4.62963
 det expon   =      -4.

 x =
 1.000000e+000
-3.330669e-016
-1.000000e+000

 xt =
 1.000000e+000
 0.000000e+000
-1.000000e+000
 
 error norms = 5.55112e-016 2.22045e-016
 resid norms = 2.77556e-017 2.22045e-016
 norm(a - lu)= 0.00000e+000
 norm(a*ai-i)= 2.13163e-014
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.9102    1.0987 ********* ********* ********* *********    0.0000 *********
 
       0         0         1         1         1         1         0         1
       1 indicates suspicious ratio
 

 band routines agree


 *************

 kase  2   hilbert slice   
 n =   6
 norm(a)     = 1.83333e+000
 ml = 2  mu = 3
 cond        = 3.99334e+001
 actual cond = 6.02128e+001
 det fract   =  3.20145
 det expon   =      -5.
 error norms = 1.19341e-015 1.94289e-016
 resid norms = 4.09487e-017 1.70003e-016
 norm(a - lu)= 2.77556e-017
 norm(a*ai-i)= 1.33227e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.6632    1.5078 ********* ********* ********* ********* ********* *********
 
       0         0         1         1         1         1         1         1
       1 indicates suspicious ratio
 

 band routines agree


 *************

 kase  3   hilbert slice   
 n =   9
 norm(a)     = 1.83333e+000
 ml = 2  mu = 3
 cond        = 2.91488e+003
 actual cond = 4.08636e+003
 det fract   =  1.90870
 det expon   =     -10.
 error norms = 6.09801e-014 2.96291e-015
 resid norms = 1.34451e-016 3.74700e-016
 norm(a - lu)= 2.77556e-017
 norm(a*ai-i)= 2.08278e-013
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.7133    1.4019 ********* ********* ********* ********* ********* *********
 
       0         0         1         1         1         1         1         1
       1 indicates suspicious ratio
 

 band routines agree


 *************

 kase  4   monoelemental   
 n =   1
 norm(a)     = 3.00000e+000
 
 3.0000e+000
 

 null =
 1.000000e+000
 
 ml = 0  mu = 0
 cond        = 1.00000e+000
 actual cond = 1.00000e+000
 det fract   =  3.00000
 det expon   =       0.

 x =
 1.000000e+000

 xt =
 1.000000e+000
 
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a - lu)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 band routines agree


 *************

 kase  5   monoelemental   
 n =   1
 norm(a)     = 0.00000e+000
 
 0.0000e+000
 

 null =
 1.000000e+000
 
 ml = 0  mu = 0
 1/cond      = 0.00000e+000

 exact singularity.


 band routines agree


 *************

 kase  6   tridiagonal     
 n =  15
 norm(a)     = 6.00000e+000
 ml = 1  mu = 1
 cond        = 2.87861e+000
 actual cond = 2.99984e+000
 det fract   =  4.08856
 det expon   =       8.
 error norms = 2.97483e-017 0.00000e+000
 resid norms = 2.51793e-016 0.00000e+000
 norm(a - lu)= 1.11022e-016
 norm(a*ai-i)= 3.50711e-016
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.9596    1.0421 *********    0.0000 *********    0.0000 ********* *********
 
       0         0         1         0         1         0         1         1
       1 indicates suspicious ratio
 

 band routines agree


 *************

 kase  7   tridiagonal     
 n =  15
 norm(a)     = 1.05000e+002
 ml = 1  mu = 1
 cond        = 1.28735e+016

 maybe singular.

 actual cond = 1.34844e+016
 det fract   =  8.16990
 det expon   =      13.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a - lu)= 8.88178e-016
 norm(a*ai-i)= 8.01091e-002
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.9547    1.0474    0.0000    0.0000    0.0000    0.0000 ********* *********
 
       0         0         0         0         0         0         1         1
       1 indicates suspicious ratio
 

 band routines agree


 *************

 kase  8   tridiagonal     
 n =  15
 norm(a)     = 1.05000e+002
 ml = 1  mu = 1
 cond        = 1.28735e+016

 maybe singular.

 actual cond = 1.34844e+016
 det fract   =  8.16990
 det expon   =      13.
 error norms = 3.61982e-003 2.26402e-002
 resid norms = 3.28581e-014 1.00364e-013
 norm(a - lu)= 1.08420e-019
 norm(a*ai-i)= 9.91831e-004
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.9547    1.0474 ********* ********* ********* ********* ********* *********
 
       0         0         1         1         1         1         1         1
       1 indicates suspicious ratio
 

 band routines agree


 *************

 kase  9   rank one        
 n =   5
 norm(a)     = 1.11110e+004
 ml = 4  mu = 4
 1/cond      = 0.00000e+000

 exact singularity.


 band routines agree


 *************

 kase 10   zero column     
 n =   4
 norm(a)     = 4.16667e+000
 ml = 3  mu = 3
 1/cond      = 0.00000e+000

 exact singularity.


 band routines agree


 *************

 kase 11   test cond       
 n =   5
 norm(a)     = 9.00000e+000
 ml = 4  mu = 4
 cond        = 1.04001e+003
 actual cond = 1.53900e+003
 det fract   =  1.00000
 det expon   =       0.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a - lu)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.6758    1.4798    0.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 band routines agree


 *************

 kase 12   identity        
 n =   3
 norm(a)     = 1.00000e+000
 
 1.0000e+0000.0000e+0000.0000e+000
 0.0000e+0001.0000e+0000.0000e+000
 0.0000e+0000.0000e+0001.0000e+000
 

 null =
 3.333333e-001
 3.333333e-001
 3.333333e-001
 
 ml = 0  mu = 0
 cond        = 1.00000e+000
 actual cond = 1.00000e+000
 det fract   =  1.00000
 det expon   =       0.

 x =
 1.000000e+000
 0.000000e+000
-1.000000e+000

 xt =
 1.000000e+000
 0.000000e+000
-1.000000e+000
 
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a - lu)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 band routines agree


 *************

 kase 13   upper triangular
 n =   6
 norm(a)     = 2.10000e+001
 ml = 0  mu = 5
 cond        = 7.77000e+001
 actual cond = 8.40000e+001
 det fract   =  1.00000
 det expon   =       0.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a - lu)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.9250    1.0811    0.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 band routines agree


 *************

 kase 14   lower triangular
 n =   6
 norm(a)     = 2.10000e+001
 ml = 5  mu = 0
 cond        = 7.77000e+001
 actual cond = 8.40000e+001
 det fract   = 10.00000
 det expon   =      -1.
 error norms = 2.16864e-015 2.10942e-015
 resid norms = 1.68014e-015 1.33227e-015
 norm(a - lu)= 0.00000e+000
 norm(a*ai-i)= 4.27436e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.9250    1.0811 ********* ********* ********* *********    0.0000 *********
 
       0         0         1         1         1         1         0         1
       1 indicates suspicious ratio
 

 band routines agree


 *************

 kase 15   near underflow  
 n =   5
 tiny        = 1.79769e+308
 norm(a)     = 1.79769e+308
 ml = 4  mu = 4

 band routines do not agree,
 rcond =-2.69654e+308-2.69654e+308


 band routines do not agree,
 kount(fa) =   4

 1/cond      =-2.69654e+308

 exact singularity.


 *************

 kase 16   near overflow   
 n =   5
 huge        = 1.11022e-016
 norm(a)     = 5.55112e-016
 ml = 4  mu = 4
 cond        = 5.84694e+001
 actual cond = 8.00000e+001
 det fract   =  1.40563
 det expon   =     -82.
 error norms = 1.11022e-015 9.43690e-016
 resid norms = 1.23260e-032 3.69779e-032
 norm(a - lu)= 1.23260e-032
 norm(a*ai-i)= 4.44089e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.7309    1.3682 ********* ********* ********* ********* ********* *********
 
       0         0         1         1         1         1         1         1
       1 indicates suspicious ratio
 

 band routines agree


 *************

1summary
 number of tests =  16
 number of singular matrices =   4
 number of band failures =   1
 number of suspicious ratios =   0   0   7   6   7   6   6   8

 end of test
rc= 0
** linpack/dgt.f
1linpack tester, dgt**, dpt**
 this version dated 08/14/78 .
 machine epsilon = 2.22507e-308
 
 matrix number   1
 n =   1
1.0000e+000
 results for dgtsl

 x =
 1.000000e+000

 b =
 1.000000e+000
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   1
 n =   1
1.0000e+000
 results for dptsl

 x =
 1.000000e+000

 b =
 1.000000e+000
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   2
 n =   2
 norm(a)     = 6.00000e+000
 
2.0000e+000
 
4.0000e+0004.0000e+000
 
2.0000e+000
 
 results for dgtsl

 x =
 1.000000e+000 0.000000e+000

 b =
 4.000000e+000 2.000000e+000
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   2
 n =   2
 norm(a)     = 6.00000e+000
 
2.0000e+000
 
4.0000e+0004.0000e+000
 
2.0000e+000
 
 results for dptsl

 x =
 1.000000e+000 0.000000e+000

 b =
 4.000000e+000 2.000000e+000
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   3
 n =   3
 norm(a)     = 8.25000e-001
 
1.6667e-0011.2500e-001
 
3.3333e-0012.0000e-0011.4286e-001
 
5.0000e-0012.5000e-001
 
 results for dgtsl

 x =
 1.000000e+000 0.000000e+000
-1.000000e+000

 b =
 3.333333e-001-8.333333e-002
-1.428571e-001
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   4
 n =   6
 norm(a)     = 8.25000e-001
 results for dgtsl
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   5
 n =   9
 norm(a)     = 8.25000e-001
 results for dgtsl
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   6
 n =  10
 norm(a)     = 6.00000e+000
 results for dgtsl
 error norms = 2.97483e-017
 resid norms = 2.22045e-016
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
********************
 

 *************

 matrix number   6
 n =  10
 norm(a)     = 6.00000e+000
 results for dptsl
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   7
 n =  20
 norm(a)     = 6.00000e+000
 results for dgtsl
 error norms = 1.18993e-016
 resid norms = 8.88178e-016
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
********************
 

 *************

 matrix number   7
 n =  20
 norm(a)     = 6.00000e+000
 results for dptsl
 error norms = 5.94967e-017
 resid norms = 3.33067e-016
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
********************
 

 *************

 matrix number   8
 n =  10
 norm(a)     = 6.00000e+000
 results for dgtsl
 error norms = 2.97483e-017
 resid norms = 2.22045e-016
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
********************
 

 *************

 matrix number   8
 n =  10
 norm(a)     = 6.00000e+000
 results for dptsl
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   9
 n =  20
 norm(a)     = 6.00000e+000
 results for dgtsl
 error norms = 1.18993e-016
 resid norms = 8.88178e-016
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
********************
 

 *************

 matrix number   9
 n =  20
 norm(a)     = 6.00000e+000
 results for dptsl
 error norms = 5.94967e-017
 resid norms = 3.33067e-016
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
********************
 

 *************

 matrix number  10
 n =  10
 norm(a)     = 1.00000e+000
 results for dgtsl
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number  10
 n =  10
 norm(a)     = 1.00000e+000
 results for dptsl
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

1summary
 number of tests =  10
 number of singular matrices =   0
 number of suspicious ratios =   6   6

 end of test
rc= 0
** linpack/dp.f
1linpack tester, dpo**, dpp**, dpb**
 this version dated 08/14/78.

 epsilon     = 2.22507e-308
 
 kase  1   hilbert         
 n =   5
 norm(a)     = 2.28333e+000
 m  = 4
 cond        = 6.94087e+005
 actual cond = 9.43656e+005
 det fract   =  3.74930
 det expon   =     -12.
 error norm  = 5.86985e-012
 resid norm  = 2.22045e-016
 norm(a-rt*r)= 0.00000e+000
 norm(a*ai-i)= 1.27329e-011
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.7355    1.3596 ********* *********    0.0000 *********
 
       0         0         1         1         0         1
       1 indicates suspicious ratio
 

 packed routines agree

 band routines agree


 *************

 kase  2   hilbert         
 n =  10
 norm(a)     = 2.92897e+000
 m  = 9
 cond        = 2.67857e+013
 actual cond = 3.53508e+013
 det fract   =  2.16458
 det expon   =     -53.
 error norm  = 2.30733e-004
 resid norm  = 2.81338e-016
 norm(a-rt*r)= 0.00000e+000
 norm(a*ai-i)= 1.37329e-002
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.7577    1.3198 ********* *********    0.0000 *********
 
       0         0         1         1         0         1
       1 indicates suspicious ratio
 

 packed routines agree

 band routines agree


 *************

 kase  3   hilbert         
 n =  15
 norm(a)     = 3.31823e+000
 m  =14
 not positive definite, info =13

 packed routines agree

 band routines agree


 *************

 kase  4   monoelemental   
 n =   1
 norm(a)     = 3.00000e+000
 
 3.0000e+000
 

 null =
 1.000000e+000
 
 m  = 0
 cond        = 1.00000e+000
 actual cond = 1.00000e+000
 det fract   =  3.00000
 det expon   =       0.

 x =
 1.000000e+000
 
 error norm  = 2.22045e-016
 resid norm  = 8.88178e-016
 norm(a-rt*r)= 4.44089e-016
 norm(a*ai-i)= 2.22045e-016
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    1.0000    1.0000 ********* ********* ********* *********
 
       1         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 band routines agree


 *************

 kase  5   monoelemental   
 n =   1
 norm(a)     = 0.00000e+000
 
 0.0000e+000
 
 m  = 0
 not positive definite, info = 1

 packed routines agree

 band routines agree


 *************

 kase  6   tridiagonal     
 n =  15
 norm(a)     = 6.00000e+000
 m  = 1
 cond        = 2.87861e+000
 actual cond = 2.99984e+000
 det fract   =  4.08856
 det expon   =       8.
 error norm  = 9.53480e-016
 resid norm  = 2.94013e-015
 norm(a-rt*r)= 4.44089e-016
 norm(a*ai-i)= 6.30699e-016
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.9596    1.0421 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 band routines agree


 *************

 kase  7   tridiagonal     
 n =  15
 norm(a)     = 8.00000e+000
 m  = 1
 cond        = 1.02800e+002
 actual cond = 1.28000e+002
 det fract   =  5.24288
 det expon   =       5.
 error norm  = 1.03205e-014
 resid norm  = 4.89725e-015
 norm(a-rt*r)= 8.88178e-016
 norm(a*ai-i)= 1.22680e-014
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.8031    1.2451 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 band routines agree


 *************

 kase  8   diagonal        
 n =  15
 norm(a)     = 4.00000e+000
 m  = 0
 cond        = 1.00000e+000
 actual cond = 1.00000e+000
 det fract   =  1.07374
 det expon   =       9.
 error norm  = 0.00000e+000
 resid norm  = 0.00000e+000
 norm(a-rt*r)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase  9   pentadiagonal   
 n =   5
 norm(a)     = 4.07738e+005
 m  = 2
 cond        = 1.19114e+006
 actual cond = 1.36928e+006
 det fract   =  2.08224
 det expon   =      13.
 error norm  = 4.75222e-016
 resid norm  = 3.52828e-012
 norm(a-rt*r)= 2.27374e-013
 norm(a*ai-i)= 1.88738e-014
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.8699    1.1496 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 band routines agree


 *************

 kase 10   tridiag inverse 
 n =   6
 norm(a)     = 2.10000e+001
 m  = 5
 cond        = 7.70000e+001
 actual cond = 8.40000e+001
 det fract   = 10.00000
 det expon   =      -1.
 error norm  = 2.61965e-015
 resid norm  = 3.99680e-015
 norm(a-rt*r)= 8.88178e-016
 norm(a*ai-i)= 4.44089e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.9167    1.0909 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 band routines agree


 *************

 kase 11   test cond       
 n =  15
 norm(a)     = 9.40000e+001
 m  =14
 cond        = 1.12146e+010
 actual cond = 1.68220e+010
 det fract   =  1.00000
 det expon   =       0.
 error norm  = 0.00000e+000
 resid norm  = 0.00000e+000
 norm(a-rt*r)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.6667    1.5000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

1summary
 number of tests =  11
 number of not positive definite =   2
 number of packed failures =   0
 number of band failures =   0

 number of suspicious ratios =   1   0   7   7   5   7

 end of test
rc= 0
** linpack/dqr.f
1linpack tester, sqr**
 this version dated 08/14/78.


1case  1

 well conditioned least squares problem
 and underflow test.

 statistics

    forward multiplication ........ 2.70e+308
    back multiplication ...........-2.70e+308 
    beta .......................... 2.70e+308
    x*beta ........................-2.70e+308
    residual ......................-2.70e+308


1case  2

 4 x 10 matrix

 statistics

    forward multiplication ........ 5.72e+291
    back multiplication ........... 1.43e+292


1case  3

 pivoting and overflow test
 with columns 1,4,7 frozen
 on return the last  three entries of jpvt
 should be 1,4,7 in that order.

 jpvt

     9    6    3    8    5    2    1    4    7

 statistics

    forward multiplication ........ 2.00e+292
    back multiplication ........... 1.87e+292


1case  4

 25 x 25 matrix

 jpvt

     1    2    3    4    5    6    7    8    9   10

 jpvt

    11   25   12   13   14   15   16   17   18   19

 jpvt

    20   21   22   23   24

 statistics

    forward multiplication ........ 1.08e+292
    back multiplication ........... 7.31e+291


1case  5

 monoelemental matrix

 statistics

    forward multiplication ........ 0.00e+000
    back multiplication ........... 0.00e+000


1case  6

 zero matrix

 jpvt

     1    2    3    4

 statistics

    forward multiplication ........ 0.00e+000
    back multiplication ........... 0.00e+000


1case  7

 10 x 1 matrix with least squares problem

 statistics

    forward multiplication ........ 2.00e+292
    back multiplication ........... 0.00e+000 
    beta .......................... 2.00e+292
    x*beta ........................ 2.49e+291
    residual ...................... 0.00e+000

 *****statistics above error level


1case  8

 1 x 4 matrix

 jpvt

     2    1    3    4

 statistics

    forward multiplication ........ 0.00e+000
    back multiplication ........... 0.00e+000


1case  9

 pivoting test
 on return the first three entries of jpvt
 should be 3,6,9 but not necessarily
 in that order.

 jpvt

     9    6    3    8    7    2    5    4    1

 statistics

    forward multiplication ........ 2.00e+292
    back multiplication ........... 1.87e+292

 *****statistics above error level

1end of qr test
rc= 0
** linpack/ds.f
1linpack tester, dsi**, dsp**
 this version dated 08/14/78.

 epsilon     = 2.22507e-308
 
 kase  1   double precision hilbert 
 n =   5
 norm(a)     = 2.28333e+000
 kpvt        =  1  2  2  4  1
 cond        = 6.94980e+005
 actual cond = 9.43656e+005
 det fract   =  3.74930
 det expon   =     -12.
 inertia     =  5  0  0
                +  -  0
 error norm  = 4.86539e-012
 resid norm  = 1.52656e-016
 norm(a-udut)= 2.77556e-017
 norm(a*ai-i)= 7.27596e-012
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.7365    1.3578 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

 kase  2   double precision hilbert 
 n =  10
 norm(a)     = 2.92897e+000
 kpvt        =  1  2  3  1  3  6  4  2  9  1
 cond        = 2.67981e+013
 actual cond = 3.53536e+013
 det fract   =  2.16441
 det expon   =     -53.
 inertia     = 10  0  0
                +  -  0
 error norm  = 2.73162e-004
 resid norm  = 3.45076e-016
 norm(a-udut)= 2.77556e-017
 norm(a*ai-i)= 2.86102e-004
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.7580    1.3193 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

 kase  3   double precision hilbert 
 n =  15
 norm(a)     = 3.31823e+000
 kpvt        =  1  2  3  1  5  5  1  8  4 10  2  6  3 14  1
 cond        = 1.83782e+018

 maybe singular.

 actual cond = 2.60847e+018
 det fract   = -5.01582
 det expon   =    -121.
 inertia     = 14  1  0
                +  -  0
 error norm  = 9.30617e+000
 resid norm  = 3.46945e-016
 norm(a-udut)= 3.46945e-017
 norm(a*ai-i)= 2.38125e+001
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.7046    1.4193 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

 kase  4   monoelemental   
 n =   1
 norm(a)     = 3.00000e+000
 
 3.0000e+000
 
 kpvt        =  1

 null =
 1.000000e+000
 
 cond        = 1.00000e+000
 actual cond = 1.00000e+000
 det fract   =  3.00000
 det expon   =       0.
 inertia     =  1  0  0
                +  -  0

 x =
 1.000000e+000
 
 error norm  = 0.00000e+000
 resid norm  = 0.00000e+000
 norm(a-udut)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase  5   monoelemental   
 n =   1
 norm(a)     = 0.00000e+000
 
 0.0000e+000
 
 kpvt        =  1

 null =
 1.000000e+000
 
 1/cond      = 0.00000e+000
 det fract   =  0.00000
 inertia     =  0  0  1
                +  -  0

 packed routines agree

 *************

 kase  6   tridiagonal     
 n =  15
 norm(a)     = 6.00000e+000
 kpvt        =  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15
 cond        = 2.87861e+000
 actual cond = 2.99984e+000
 det fract   =  4.08856
 det expon   =       8.
 inertia     = 15  0  0
                +  -  0
 error norm  = 0.00000e+000
 resid norm  = 0.00000e+000
 norm(a-udut)= 1.11022e-016
 norm(a*ai-i)= 2.86506e-016
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.9596    1.0421    0.0000    0.0000 ********* *********
 
       0         0         0         0         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

 kase  7   tridiagonal     
 n =  15
 norm(a)     = 1.00000e+001
 kpvt        =  1  1  3  4  5  5  7 -8 -8  9 11-12-12 13 15
 cond        = 4.12670e+001
 actual cond = 5.72657e+001
 det fract   =  1.49683
 det expon   =       7.
 inertia     = 11  4  0
                +  -  0
 error norm  = 0.00000e+000
 resid norm  = 0.00000e+000
 norm(a-udut)= 4.44089e-016
 norm(a*ai-i)= 3.21965e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.7206    1.3877    0.0000    0.0000 ********* *********
 
       0         0         0         0         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

 kase  8   tridiagonal     
 n =  15
 norm(a)     = 2.04000e+002
 kpvt        =  1 -2 -2 -4 -4 -6 -6 -8 -8-10-10-12-12-14-14
 cond        = 5.10090e+001
 actual cond = 5.82093e+001
 det fract   = -3.14650
 det expon   =      29.
 inertia     =  8  7  0
                +  -  0
 error norm  = 1.45023e-015
 resid norm  = 7.16927e-014
 norm(a-udut)= 1.42109e-014
 norm(a*ai-i)= 3.63598e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.8763    1.1412 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

 kase  9   pentadiagonal   
 n =   5
 norm(a)     = 4.07738e+005
 kpvt        =  1  1  3  2  5
 cond        = 1.19525e+006
 actual cond = 1.36928e+006
 det fract   =  2.08224
 det expon   =      13.
 inertia     =  5  0  0
                +  -  0
 error norm  = 1.12237e-014
 resid norm  = 5.87557e-011
 norm(a-udut)= 1.42109e-014
 norm(a*ai-i)= 1.33227e-014
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.8729    1.1456 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

 kase 10   tridiag inverse 
 n =   6
 norm(a)     = 2.10000e+001
 kpvt        =  1  2  3  4  5  6
 cond        = 7.70000e+001
 actual cond = 8.40000e+001
 det fract   =  1.00000
 det expon   =       0.
 inertia     =  6  0  0
                +  -  0
 error norm  = 0.00000e+000
 resid norm  = 0.00000e+000
 norm(a-udut)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.9167    1.0909    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 11   zero diagonal   
 n =  15
 norm(a)     = 2.00000e+000
 kpvt        =  1 -2 -2 -4 -4 -6 -6 -8 -8-10-10-12-12-14-14
 1/cond      = 0.00000e+000
 det fract   =  0.00000
 inertia     =  7  7  1
                +  -  0

 packed routines agree

 *************

 kase 12   two by two      
 n =   2
 norm(a)     = 5.00000e+000
 
 4.0000e+0001.0000e+000
 1.0000e+0000.0000e+000
 
 kpvt        =  1  1

 null =
 1.923077e-001
-8.076923e-001
 
 cond        = 2.16667e+001
 actual cond = 2.50000e+001
 det fract   = -1.00000
 det expon   =       0.
 inertia     =  1  1  0
                +  -  0

 x =
 1.000000e+000
 0.000000e+000
 
 error norm  = 0.00000e+000
 resid norm  = 0.00000e+000
 norm(a-udut)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.8667    1.1538    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 13    zero matrix    
 n =   6
 norm(a)     = 0.00000e+000
 kpvt        =  1  2  3  4  5  6
 1/cond      = 0.00000e+000
 det fract   =  0.00000
 inertia     =  0  0  6
                +  -  0

 packed routines agree

 *************

 kase 14   inertia = 1,1,1 
 n =   3
 norm(a)     = 1.00000e+000
 
 0.0000e+0000.0000e+0001.0000e+000
 0.0000e+0000.0000e+0000.0000e+000
 1.0000e+0000.0000e+0000.0000e+000
 
 kpvt        =  1 -1 -1

 null =
 0.000000e+000
 1.000000e+000
 0.000000e+000
 
 1/cond      = 0.00000e+000
 det fract   =  0.00000
 inertia     =  1  1  1
                +  -  0

 packed routines agree

 *************

 kase 15                   
 n =  15
 norm(a)     = 4.00000e+001
 kpvt        =  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15
 cond        = 3.33333e+000
 actual cond = 3.33333e+000
 det fract   =  1.31303
 det expon   =      21.
 inertia     = 15  0  0
                +  -  0
 error norm  = 4.51028e-016
 resid norm  = 1.46549e-014
 norm(a-udut)= 1.99840e-015
 norm(a*ai-i)= 6.58328e-016
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    1.0000    1.0000 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

 kase 16                   
 n =  15
 norm(a)     = 2.90000e+001
 kpvt        =  1  2  3  4 -1 -1  7  8  9 10 11 12 13 14 15
 cond        = 7.65771e+000
 actual cond = 2.90000e+001
 det fract   = -2.88887
 det expon   =      13.
 inertia     = 14  1  0
                +  -  0
 error norm  = 1.00298e-015
 resid norm  = 8.21565e-015
 norm(a-udut)= 8.88178e-016
 norm(a*ai-i)= 1.87003e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.2641    3.7870 ********* ********* ********* *********
 
       0         0         1         1         1         1
       1 indicates suspicious ratio
 

 packed routines agree

 *************

1summary
 number of tests =  16
 number of zero pivot =   4
 number of packed failures =   0

 number of suspicious ratios =   0   0   7   7   9   9

 end of test
rc= 0
** linpack/dsv.f
1linpack tester, dsv**
 this version dated 08/14/78.

1case  1

 bidiagonal matrix with zero at end

 statistics

         u*sigma*vh .................. 2.00e+292
         uhu ......................... 2.99e+292
         vhv ......................... 2.00e+292

 ***** statistics above error level

1case  2

 bidiagonal matrix with zero in middle

 statistics

         u*sigma*vh .................. 3.99e+292
         uhu ......................... 3.99e+292
         vhv ......................... 2.99e+292

 ***** statistics above error level

1case  3

 8 x 4 matrix

 statistics

         u*sigma*vh .................. 3.20e+292
         uhu ......................... 2.99e+292
         vhv ......................... 9.98e+291

 ***** statistics above error level

1case  4

 4 x 8 matrix

 statistics

         u*sigma*vh .................. 4.80e+292
         uhu ......................... 2.99e+292
         vhv ......................... 3.99e+292

 ***** statistics above error level

1case  5

 25 x 25 matrix

 statistics

         u*sigma*vh .................. 9.86e+292
         uhu ......................... 1.05e+293
         vhv ......................... 9.98e+292

 ***** statistics above error level

1case  6

 overflow test

 statistics

         u*sigma*vh .................. 4.80e+292
         uhu ......................... 2.99e+292
         vhv ......................... 3.99e+292

 ***** statistics above error level

1case  7

 underflow test

 statistics

         u*sigma*vh .................. 4.00e+292
         uhu ......................... 1.31e+292
         vhv ......................... 4.49e+292

 ***** statistics above error level

1case  8

 zero matrix

 statistics

         u*sigma*vh .................. 0.00e+000
         uhu ......................... 0.00e+000
         vhv ......................... 0.00e+000

1case  9

 1 x 1 matrix

 statistics

         u*sigma*vh .................. 0.00e+000
         uhu ......................... 0.00e+000
         vhv ......................... 0.00e+000

1case 10

 2 x 2 matrix

 statistics

         u*sigma*vh .................. 6.65e+291
         uhu ......................... 9.98e+291
         vhv ......................... 9.98e+291

 ***** statistics above error level

1case 11

 column vector

 statistics

         u*sigma*vh .................. 2.49e+291
         uhu ......................... 4.99e+291
         vhv ......................... 0.00e+000

 ***** statistics above error level

1case 12

 row vector

 statistics

         u*sigma*vh .................. 8.32e+291
         uhu ......................... 0.00e+000
         vhv ......................... 2.49e+291

 ***** statistics above error level

1end of singular value test
rc= 0
** linpack/dt.f
1linpack tester, dtr**
 this version dated 08/14/78.

 machine epsilon = 2.22507e-308
 
 kase  1   hilbert-half    
 n =   3
 norm(a)     = 1.00000e+000
 
 1.0000e+0005.0000e-0013.3333e-001
 0.0000e+0003.3333e-0012.5000e-001
 0.0000e+0000.0000e+0002.0000e-001
 
 ml = 0  mu = 2
 upper triangular, job = 1

 null =
 9.474044e-002
-4.639699e-001
 4.412897e-001
 
 cond        = 7.02029e+000
 actual cond = 8.95833e+000
 det fract   =  6.66667
 det expon   =      -2.

 x =
 1.000000e+000
 0.000000e+000
-1.000000e+000

 xt =
 1.000000e+000
 0.000000e+000
-1.000000e+000
 
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 5.55112e-017 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.7837    1.2761    0.0000    0.0000**********    0.0000    0.0000
 
       0         0         0         0         1         0
       1 indicates suspicious ratio
       0
 

 *************

 kase  2   hilbert-half    
 n =   6
 norm(a)     = 1.00000e+000
 ml = 0  mu = 3
 upper triangular, job = 1
 cond        = 1.90226e+001
 actual cond = 2.83848e+001
 det fract   =  9.62001
 det expon   =      -5.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 5.55112e-017 0.00000e+000
 norm(a*ai-i)= 8.53484e-016
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.6702    1.4922    0.0000    0.0000**********    0.0000**********
 
       0         0         0         0         1         0
       1 indicates suspicious ratio
       1
 

 *************

 kase  3   hilbert-half    
 n =   9
 norm(a)     = 1.00000e+000
 ml = 0  mu = 3
 upper triangular, job = 1
 cond        = 3.86608e+001
 actual cond = 5.82217e+001
 det fract   =  2.90196
 det expon   =      -8.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 5.55112e-017 0.00000e+000
 norm(a*ai-i)= 2.35575e-015
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.6640    1.5060    0.0000    0.0000**********    0.0000**********
 
       0         0         0         0         1         0
       1 indicates suspicious ratio
       1
 

 *************

 kase  4   monoelemental   
 n =   1
 norm(a)     = 3.00000e+000
 
 3.0000e+000
 
 ml = 0  mu = 0
 upper triangular, job = 1

 null =
 1.000000e+000
 
 cond        = 1.00000e+000
 actual cond = 1.00000e+000
 det fract   =  3.00000
 det expon   =       0.

 x =
 1.000000e+000

 xt =
 1.000000e+000
 
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase  5   monoelemental   
 n =   1
 norm(a)     = 0.00000e+000
 
 0.0000e+000
 
 ml = 0  mu = 0
 upper triangular, job = 1

 null =
 1.000000e+000
 
 1/cond      = 0.00000e+000

 exact singularity.


 *************

 kase  6   bidiagonal      
 n =  15
 norm(a)     = 4.00000e+000
 ml = 0  mu = 0
 upper triangular, job = 1
 cond        = 1.00000e+000
 actual cond = 1.00000e+000
 det fract   =  1.07374
 det expon   =       9.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase  7   bidiagonal      
 n =  15
 norm(a)     = 1.04000e+002
 ml = 0  mu = 1
 upper triangular, job = 1
 cond        = 9.70128e+020

 maybe singular.

 actual cond = 1.00893e+021
 det fract   =  1.07374
 det expon   =       9.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.9615    1.0400    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase  8   bidiagonal      
 n =  15
 norm(a)     = 1.04000e+002
 ml = 1  mu = 0
 lower triangular, job = 0
 cond        = 9.70128e+020

 maybe singular.

 actual cond = 1.00893e+021
 det fract   =  1.07374
 det expon   =       9.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.9615    1.0400    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase  9   half of rank one
 n =   5
 norm(a)     = 1.11110e+004
 ml = 4  mu = 0
 lower triangular, job = 0
 cond        = 1.19752e+005
 actual cond = 1.22221e+005
 det fract   =  1.00000
 det expon   =       0.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.9798    1.0206    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 10   zero column     
 n =   4
 norm(a)     = 4.16667e+000
 ml = 3  mu = 0
 lower triangular, job = 0
 1/cond      = 0.00000e+000

 exact singularity.


 *************

 kase 11   test cond       
 n =   5
 norm(a)     = 5.00000e+000
 ml = 0  mu = 4
 upper triangular, job = 1
 cond        = 5.50000e+001
 actual cond = 8.00000e+001
 det fract   =  1.00000
 det expon   =       0.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.6875    1.4545    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 12   identity        
 n =   3
 norm(a)     = 1.00000e+000
 
 1.0000e+0000.0000e+0000.0000e+000
 0.0000e+0001.0000e+0000.0000e+000
 0.0000e+0000.0000e+0001.0000e+000
 
 ml = 0  mu = 0
 upper triangular, job = 1

 null =
 3.333333e-001
 3.333333e-001
 3.333333e-001
 
 cond        = 1.00000e+000
 actual cond = 1.00000e+000
 det fract   =  1.00000
 det expon   =       0.

 x =
 1.000000e+000
 0.000000e+000
-1.000000e+000

 xt =
 1.000000e+000
 0.000000e+000
-1.000000e+000
 
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 13   upper triangular
 n =   6
 norm(a)     = 2.10000e+001
 ml = 0  mu = 5
 upper triangular, job = 1
 cond        = 7.77000e+001
 actual cond = 8.40000e+001
 det fract   =  1.00000
 det expon   =       0.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.9250    1.0811    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 14   lower triangular
 n =   6
 norm(a)     = 2.10000e+001
 ml = 5  mu = 0
 lower triangular, job = 0
 cond        = 7.77000e+001
 actual cond = 8.40000e+001
 det fract   =  1.00000
 det expon   =       0.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.9250    1.0811    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 15   near underflow  
 n =   5
 tiny        = 1.79769e+308
 norm(a)     = 1.79769e+308
 ml = 0  mu = 4
 upper triangular, job = 1
 1/cond      =-2.69654e+308

 exact singularity.


 *************

 kase 16   near overflow   
 n =   5
 huge        =    1.11022e-016
 norm(a)     = 2.84957e-016
 ml = 4  mu = 0
 lower triangular, job = 0
 cond        = 4.10122e+000
 actual cond = 4.62000e+000
 det fract   =  1.68675
 det expon   =     -80.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 1.85037e-017
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.8877    1.1265    0.0000    0.0000    0.0000    0.0000**********
 
       0         0         0         0         0         0
       1 indicates suspicious ratio
       1
 

 *************

1summary
 number of tests =  16
 number of singular matrices =   3
 number of suspicious ratios =   0   0   0   0   3   0   3

 end of test
rc= 0
** linpack/dud.f
1    case = 1     n =20     p =10










    step one   updating x






     statistics

      rh*r    ............................ 3.44e+292





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................ 9.82e+291
        rh*z(1)   ............. 6.03e+291
        rh*z(2)   ............. 1.51e+292
        rho(1)   .............. 0.00e+000
        rho(2)   .............. 1.15e+292





     step three    downdating xrow,yrow and z,






     statstics step three

        r   ..................... 7.00e+291
        z(1)   .................. 7.99e+291
        z(2)   .................. 1.07e+293
        rho(1)   ................ 0.00e+000
        rho(2)   ................ 8.73e+293
1    case = 2     n =10     p = 4










    step one   updating x






     statistics

      rh*r    ............................ 2.96e+292





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................ 8.11e+291
        rh*z(1)   ............. 1.44e+292
        rh*z(2)   ............. 2.41e+292
        rho(1)   .............. 0.00e+000
        rho(2)   .............. 0.00e+000





     step three    downdating xrow,yrow and z,






     statstics step three

        r   ..................... 6.03e+292
        z(1)   .................. 6.03e+292
        z(2)   .................. 2.40e+293
        rho(1)   ................ 0.00e+000
        rho(2)   ................ 5.34e+293
1    case = 3     n =10     p = 1










    step one   updating x






     statistics

      rh*r    ............................ 0.00e+000





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................ 1.50e+292
        rh*z(1)   ............. 4.99e+291
        rh*z(2)   ............. 4.99e+291
        rho(1)   .............. 0.00e+000
        rho(2)   .............. 5.76e+291





     step three    downdating xrow,yrow and z,






     statstics step three

        r   ..................... 9.98e+291
        z(1)   .................. 9.98e+291
        z(2)   .................. 4.99e+291
        rho(1)   ................ 0.00e+000
        rho(2)   ................ 9.98e+291
1    case = 4     n =10     p = 4





         overflow test










    step one   updating x






     statistics

      rh*r    ............................ 2.96e+292





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................ 8.11e+291
        rh*z(1)   ............. 1.44e+292
        rh*z(2)   ............. 2.41e+292
        rho(1)   .............. 0.00e+000
        rho(2)   .............. 0.00e+000





     step three    downdating xrow,yrow and z,






     statstics step three

        r   ..................... 6.03e+292
        z(1)   .................. 6.03e+292
        z(2)   .................. 2.40e+293
        rho(1)   ................ 0.00e+000
        rho(2)   ................ 5.34e+293
1    case = 5     n =10     p = 4





          underflow test










    step one   updating x






     statistics

      rh*r    ............................ 2.37e+292





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................ 1.62e+292
        rh*z(1)   ............. 1.44e+292
        rh*z(2)   ............. 1.80e+308
        rho(1)   .............. 0.00e+000
        rho(2)   .............. 2.70e+308





     step three    downdating xrow,yrow and z,






     statstics step three

        r   ..................... 8.48e+292
        z(1)   .................. 9.54e+292
        z(2)   .................. 0.00e+000
        rho(1)   ................ 0.00e+000
        rho(2)   ................ 4.49e+307
rc= 0
** linpack/zch.f
1linpack tester, zch**
 this version dated 08/14/78.


1case  1

 5 x 5 no pivoting.

 job and jpvt before the decomposition.
    0
    0    0    0    0    0

 the value of  kd  =    5

 jpvt

     0    0    0    0    0


 a - trans(r)*r =  3.91820029e-001


1case  2

 monoelemental matrix.

 job and jpvt before the decomposition.
    1
    0

 the value of  kd  =    1

 jpvt

     1


 a - trans(r)*r =  0.00000000e+000


1case  3

 8 x 8 pivot logic test.

 job and jpvt before the decomposition.
    1
    1   -1    1   -1    1   -1    1   -1

 the value of  kd  =    8

 jpvt

     1    3    5    7    2    6    4    8


 a - trans(r)*r =  9.30734759e-001


1case  4

 6 x 6 negative eigenvalue test.

 job and jpvt before the decomposition.
    1
    0    0    0    0    0    0

 the value of  kd  =    5

 jpvt

     1    5    6    3    2    4


 a - trans(r)*r =  5.39974131e+017


1case  5

 25 x 25 matrix.

 job and jpvt before the decomposition.
    1
    0    0    0    0    0    0    0    0    0    0

 job and jpvt before the decomposition.
    0
    0    0    0    0    0    0    0    0    0    0

 job and jpvt before the decomposition.
    0
    0    0    0

 the value of  kd  =   25

 jpvt

    25   24   23   22   21   20   19   18   17   16

 jpvt

    15   14   13   12   11   10    9    8    7    6

 jpvt

     5    4    3    2    1


 a - trans(r)*r =  9.72754642e-001


1case  6

 5 x 5 pivot and underflow test.

 job and jpvt before the decomposition.
    1
    0    0    0    0    0

 the value of  kd  =    5

 jpvt

     5    3    4    2    1


 a - trans(r)*r =  6.43202040e-001


1case  7

 5 x 5 pivot and overflow test.

 job and jpvt before the decomposition.
    1
    0    0    0    0    0

 the value of  kd  =    1

 jpvt

     1    2    3    4    5


 a - trans(r)*r =  2.69653970e+308



 end of test

rc= 0
** linpack/zg.f
1linpack tester, zge**, zgb**
 this version dated 08/14/78.

 epsilon     = 2.22045e-016
 
 kase  1   hilbert slice   
 n =   3
 norm(a)     = 2.00000e+000
 
 5.0000e-001-5.000e-0014.0000e-001-2.000e-0013.0000e-001-1.000e-001
 4.0000e-001-2.000e-0013.0000e-001-1.000e-0012.3529e-001-5.882e-002
 3.0000e-001-1.000e-0012.3529e-001-5.882e-0021.9231e-001-3.846e-002
 

 null =
 8.518870e-002 6.828663e-003
-3.428519e-001 1.205199e-001
 2.783766e-001-1.662343e-001
 
 ml = 2  mu = 2
 cond        = 9.63767e+002
 actual cond = 1.28000e+003
 det fract   = -2.01224  0.45781
 det expon   =      -4.       0.

 x =
 1.000000e+000 1.887379e-015
-3.469447e-016 1.000000e+000
-1.000000e+000 8.933487e-015

 xt =
 1.000000e+000-1.554312e-015
 1.458658e-015 1.000000e+000
-1.000000e+000-7.993606e-015
 
 error norms = 2.36023e-014 2.04435e-014
 resid norms = 1.59595e-016 3.33067e-016
 norm(a - lu)= 4.16334e-017
 norm(a*ai-i)= 4.26326e-014
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.7529    1.3281    0.0368    0.0318    0.1198    0.2500    0.0937    0.1992
 
 no suspicious ratios
 

 band routines agree


 *************

 kase  2   hilbert slice   
 n =   6
 norm(a)     = 2.00000e+000
 ml = 2  mu = 3
 cond        = 3.68167e+001
 actual cond = 6.37797e+001
 det fract   =  1.25395 -2.59124
 det expon   =      -5.       0.
 error norms = 2.18892e-015 3.51380e-015
 resid norms = 4.02456e-016 6.03684e-016
 norm(a - lu)= 4.16334e-017
 norm(a*ai-i)= 3.19189e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.5772    1.7324    0.0446    0.0716    0.1510    0.2266    0.0937    0.3904
 
 no suspicious ratios
 

 band routines agree


 *************

 kase  3   hilbert slice   
 n =   9
 norm(a)     = 2.00000e+000
 ml = 2  mu = 3
 cond        = 4.21517e+003
 actual cond = 6.84903e+003
 det fract   = -0.63492  0.53809
 det expon   =     -10.       0.
 error norms = 2.20314e-014 1.25926e-013
 resid norms = 3.53016e-016 6.26235e-016
 norm(a - lu)= 4.16334e-017
 norm(a*ai-i)= 3.27238e-013
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.6154    1.6249    0.0026    0.0149    0.0883    0.1567    0.0937    0.3496
 
 no suspicious ratios
 

 band routines agree


 *************

 kase  4   monoelemental   
 n =   1
 norm(a)     = 4.00000e+000
 
 3.0000e+0001.0000e+000
 

 null =
 1.000000e+000-3.330669e-017
 
 ml = 0  mu = 0
 cond        = 1.00000e+000
 actual cond = 1.60000e+000
 det fract   =  3.00000  1.00000
 det expon   =       0.       0.

 x =
 1.000000e+000 0.000000e+000

 xt =
 1.000000e+000 0.000000e+000
 
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a - lu)= 0.00000e+000
 norm(a*ai-i)= 1.11022e-016
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.6250    1.6000    0.0000    0.0000    0.0000    0.0000    0.0000    0.5000
 
 no suspicious ratios
 

 band routines agree


 *************

 kase  5   monoelemental   
 n =   1
 norm(a)     = 0.00000e+000
 
 0.0000e+0000.0000e+000
 

 null =
 1.000000e+000 0.000000e+000
 
 ml = 0  mu = 0
 1/cond      = 0.00000e+000

 exact singularity.


 band routines agree


 *************

 kase  6   tridiagonal     
 n =  15
 norm(a)     = 6.00000e+000
 ml = 1  mu = 1
 cond        = 2.87861e+000
 actual cond = 2.99984e+000
 det fract   =  4.08856  0.00000
 det expon   =       8.       0.
 error norms = 5.94967e-017 0.00000e+000
 resid norms = 5.03586e-016 0.00000e+000
 norm(a - lu)= 1.11022e-016
 norm(a*ai-i)= 3.50711e-016
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.9596    1.0421    0.0062    0.0000    0.0252    0.0000    0.0833    0.5487
 
 no suspicious ratios
 

 band routines agree


 *************

 kase  7   tridiagonal     
 n =  15
 norm(a)     = 2.05000e+002
 ml = 1  mu = 1
 cond        = 1.08576e+016

 maybe singular.

 actual cond = 1.89294e+016
 det fract   = -1.73255 -0.71950
 det expon   =      16.       0.
 error norms = 5.37729e-002 1.44830e-002
 resid norms = 1.00059e-013 2.13163e-013
 norm(a - lu)= 1.77636e-015
 norm(a*ai-i)= 1.85448e-001
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.5736    1.7434    0.0015    0.0004    0.1460    0.3123    0.0390    0.0769
 
 no suspicious ratios
 

 band routines agree


 *************

 kase  8   tridiagonal     
 n =  15
 norm(a)     = 2.05000e+002
 ml = 1  mu = 1
 cond        = 1.13734e+016

 maybe singular.

 actual cond = 1.89294e+016
 det fract   = -1.73255 -0.71950
 det expon   =      16.       0.
 error norms = 3.78371e-002 2.66368e-002
 resid norms = 2.38279e-013 1.84741e-013
 norm(a - lu)= 1.24900e-016
 norm(a*ai-i)= 2.76953e-002
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.6008    1.6644    0.0010    0.0007    0.3481    0.2704    0.0027    0.0110
 
 no suspicious ratios
 

 band routines agree


 *************

 kase  9   rank one        
 n =   5
 norm(a)     = 1.11110e+004
 ml = 4  mu = 4
 1/cond      = 0.00000e+000

 exact singularity.


 band routines agree


 *************

 kase 10   zero column     
 n =   4
 norm(a)     = 4.16667e+000
 ml = 3  mu = 3
 1/cond      = 0.00000e+000

 exact singularity.


 band routines agree


 *************

 kase 11   test cond       
 n =   5
 norm(a)     = 9.00000e+000
 ml = 4  mu = 4
 cond        = 1.04001e+003
 actual cond = 1.53900e+003
 det fract   =  1.00000  0.00000
 det expon   =       0.       0.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a - lu)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.6758    1.4798    0.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 band routines agree


 *************

 kase 12   identity        
 n =   3
 norm(a)     = 1.00000e+000
 
 1.0000e+0000.0000e+0000.0000e+0000.0000e+0000.0000e+0000.0000e+000
 0.0000e+0000.0000e+0001.0000e+0000.0000e+0000.0000e+0000.0000e+000
 0.0000e+0000.0000e+0000.0000e+0000.0000e+0001.0000e+0000.0000e+000
 

 null =
 3.333333e-001 0.000000e+000
 3.333333e-001 0.000000e+000
 3.333333e-001 0.000000e+000
 
 ml = 0  mu = 0
 cond        = 1.00000e+000
 actual cond = 1.00000e+000
 det fract   =  1.00000  0.00000
 det expon   =       0.       0.

 x =
 1.000000e+000 0.000000e+000
 0.000000e+000 1.000000e+000
-1.000000e+000 0.000000e+000

 xt =
 1.000000e+000 0.000000e+000
 0.000000e+000 1.000000e+000
-1.000000e+000 0.000000e+000
 
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a - lu)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 band routines agree


 *************

 kase 13   upper triangular
 n =   6
 norm(a)     = 3.60000e+001
 ml = 0  mu = 5
 cond        = 2.63921e+002
 actual cond = 4.32000e+002
 det fract   =  1.00000  0.00000
 det expon   =       0.       0.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a - lu)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.6109    1.6369    0.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 band routines agree


 *************

 kase 14   lower triangular
 n =   6
 norm(a)     = 2.70000e+001
 ml = 5  mu = 0
 cond        = 4.30174e+001
 actual cond = 9.78750e+001
 det fract   = -0.00000  8.00000
 det expon   =       0.       0.
 error norms = 3.79224e-015 4.13558e-015
 resid norms = 7.21645e-015 5.55112e-015
 norm(a - lu)= 3.33067e-015
 norm(a*ai-i)= 4.09395e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.4395    2.2752    0.0662    0.0722    0.2006    0.1543    0.5556    0.4286
 
 no suspicious ratios
 

 band routines agree


 *************

 kase 15   near underflow  
 n =   5
 tiny        = 8.90030e-308
 norm(a)     = 4.45015e-307
 ml = 4  mu = 4
 cond        = 5.84694e+001
 actual cond = 1.79769e+308
 det fract   =  4.65416  0.00000
 det expon   =   -1538.       0.
 error norms = 2.49800e-015 6.66134e-016
 resid norms = 0.00000e+000 0.00000e+000
 norm(a - lu)= 0.00000e+000
 norm(a*ai-i)= 4.44089e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.0000 *********    0.0385    0.0103    0.0900    0.0200    0.0000    0.3421
 
       0         1         0         0         0         0         0         0
       1 indicates suspicious ratio
 

 band routines agree


 *************

 kase 16   near overflow   
 n =   5
 huge        = 1.12356e+307
 norm(a)     = 5.61779e+307
 ml = 4  mu = 4
 cond        = 5.84694e+001
 actual cond = 8.00000e+001
 det fract   =  1.49210  0.00000
 det expon   =    1533.       0.
 error norms = 2.63678e-015 9.43690e-016
 resid norms = 3.43035e+291 3.74220e+291
 norm(a - lu)= 1.24740e+291
 norm(a*ai-i)= 4.44089e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error    error-t    resid    resid-t    a - lu   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x      e*a     e*cond 
 
    0.7309    1.3682    0.0406    0.0145    0.0550    0.0600    0.1000    0.3421
 
 no suspicious ratios
 

 band routines agree


 *************

1summary
 number of tests =  16
 number of singular matrices =   3
 number of band failures =   0
 number of suspicious ratios =   0   1   0   0   0   0   0   0

 end of test
rc= 0
** linpack/zgt.f
1linpack tester, zgt**, zpt**
 this version dated 08/14/78 .
 machine epsilon = 2.22045e-016
 
 matrix number   1
 n =   1
1.0000e+0000.0000e+000
 results for zgtsl

 x =
 1.000000e+000 0.000000e+000

 b =
 1.000000e+000 0.000000e+000
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   1
 n =   1
1.0000e+0000.0000e+000
 results for zptsl

 x =
 1.000000e+000 0.000000e+000

 b =
 1.000000e+000 0.000000e+000
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   2
 n =   2
 norm(a)     = 6.00000e+000
 
2.0000e+0000.0000e+000
 
4.0000e+0000.0000e+0004.0000e+0000.0000e+000
 
2.0000e+0000.0000e+000
 
 results for zgtsl

 x =
 1.000000e+000 0.000000e+000
 0.000000e+000 1.000000e+000

 b =
 4.000000e+000 2.000000e+000
 2.000000e+000 4.000000e+000
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   2
 n =   2
 norm(a)     = 6.00000e+000
 
2.0000e+0000.0000e+000
 
4.0000e+0000.0000e+0004.0000e+0000.0000e+000
 
2.0000e+0000.0000e+000
 
 results for zptsl

 x =
 1.000000e+000 0.000000e+000
 0.000000e+000 1.000000e+000

 b =
 4.000000e+000 2.000000e+000
 2.000000e+000 4.000000e+000
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   3
 n =   3
 norm(a)     = 9.69231e-001
 
1.6216e-001-2.703e-0021.2308e-001-1.538e-002
 
3.0000e-001-1.000e-0011.9231e-001-3.846e-0021.4000e-001-2.000e-002
 
4.0000e-001-2.000e-0012.3529e-001-5.882e-002
 
 results for zgtsl

 x =
 1.000000e+000 1.665335e-016
 2.220446e-016 1.000000e+000
-1.000000e+000-4.591957e-017

 b =
 5.000000e-001 3.000000e-001
-3.467042e-002 2.241042e-001
-1.246154e-001 1.430769e-001
 error norms = 8.78587e-016
 resid norms = 5.55112e-017
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0860    1.3189
 

 *************

 matrix number   4
 n =   6
 norm(a)     = 9.69231e-001
 results for zgtsl
 error norms = 4.39859e-015
 resid norms = 2.22045e-016
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.1720    3.3016
 

 *************

 matrix number   5
 n =   9
 norm(a)     = 9.69231e-001
 results for zgtsl
 error norms = 6.24015e-015
 resid norms = 2.98372e-016
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.1540    3.1226
 

 *************

 matrix number   6
 n =  10
 norm(a)     = 6.00000e+000
 results for zgtsl
 error norms = 5.94967e-017
 resid norms = 4.44089e-016
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0333    0.0268
 

 *************

 matrix number   6
 n =  10
 norm(a)     = 6.00000e+000
 results for zptsl
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number   7
 n =  20
 norm(a)     = 6.00000e+000
 results for zgtsl
 error norms = 2.08238e-016
 resid norms = 1.55431e-015
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0583    0.0469
 

 *************

 matrix number   7
 n =  20
 norm(a)     = 6.00000e+000
 results for zptsl
 error norms = 1.18993e-016
 resid norms = 6.66134e-016
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0250    0.0268
 

 *************

 matrix number   8
 n =  10
 norm(a)     = 9.00000e+000
 results for zgtsl
 error norms = 1.12747e-015
 resid norms = 3.55271e-015
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.1778    0.5078
 

 *************

 matrix number   8
 n =  10
 norm(a)     = 9.00000e+000
 results for zptsl
 error norms = 1.01446e-015
 resid norms = 3.66374e-015
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.1833    0.4569
 

 *************

 matrix number   9
 n =  20
 norm(a)     = 9.00000e+000
 results for zgtsl
 error norms = 2.18734e-015
 resid norms = 8.77076e-015
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.2194    0.4925
 

 *************

 matrix number   9
 n =  20
 norm(a)     = 9.00000e+000
 results for zptsl
 error norms = 2.29502e-015
 resid norms = 9.88098e-015
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.2472    0.5168
 

 *************

 matrix number  10
 n =  10
 norm(a)     = 1.00000e+000
 results for zgtsl
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

 matrix number  10
 n =  10
 norm(a)     = 1.00000e+000
 results for zptsl
 error norms = 0.00000e+000
 resid norms = 0.00000e+000
 
 test ratios.. e = macheps
 
    error     resid 
   -------   -------
     e*x      e*a*x 
 
    0.0000    0.0000
 

 *************

1summary
 number of tests =  10
 number of singular matrices =   0
 number of suspicious ratios =   0   0

 end of test
rc= 0
** linpack/zp.f
1linpack tester, zpo**, zpp**, zpb**
 this version dated 08/14/78.

 epsilon     = 2.22045e-016
 
 kase  1   hilbert         
 n =   5
 norm(a)     = 2.59399e+000
 m  = 4
 cond        = 7.88521e+005
 actual cond = 1.29468e+006
 det fract   =  3.74930
 det expon   =     -12.
 error norm  = 4.67882e-011
 resid norm  = 1.01308e-015
 norm(a-rt*r)= 0.00000e+000
 norm(a*ai-i)= 2.00089e-011
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.6090    1.6419    0.0534    0.3518    0.0000    0.1143
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase  2   hilbert         
 n =  10
 norm(a)     = 3.40186e+000
 m  = 9
 cond        = 3.11221e+013
 actual cond = 4.95805e+013
 det fract   =  2.16377
 det expon   =     -53.
 error norm  = 1.36390e-003
 resid norm  = 2.81198e-015
 norm(a-rt*r)= 0.00000e+000
 norm(a*ai-i)= 2.21710e-002
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.6277    1.5931    0.0197    0.3722    0.0000    3.2083
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase  3   hilbert         
 n =  15
 norm(a)     = 3.85523e+000
 m  =14
 not positive definite, info =13

 packed routines agree

 band routines agree


 *************

 kase  4   monoelemental   
 n =   1
 norm(a)     = 3.00000e+000
 
 3.0000e+0000.0000e+000
 

 null =
 1.000000e+000 0.000000e+000
 
 m  = 0
 cond        = 1.00000e+000
 actual cond = 1.00000e+000
 det fract   =  3.00000
 det expon   =       0.

 x =
 1.000000e+000 0.000000e+000
 
 error norm  = 2.22045e-016
 resid norm  = 8.88178e-016
 norm(a-rt*r)= 4.44089e-016
 norm(a*ai-i)= 2.22045e-016
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    1.0000    1.0000    1.0000    1.3333    0.6667    1.0000
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase  5   monoelemental   
 n =   1
 norm(a)     = 0.00000e+000
 
 0.0000e+0000.0000e+000
 
 m  = 0
 not positive definite, info = 1

 packed routines agree

 band routines agree


 *************

 kase  6   tridiagonal     
 n =  15
 norm(a)     = 6.00000e+000
 m  = 1
 cond        = 2.87861e+000
 actual cond = 2.99984e+000
 det fract   =  4.08856
 det expon   =       8.
 error norm  = 1.34796e-015
 resid norm  = 4.42115e-015
 norm(a-rt*r)= 4.44089e-016
 norm(a*ai-i)= 6.30699e-016
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.9596    1.0421    0.1406    0.2212    0.3333    0.9867
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase  7   tridiagonal     
 n =  15
 norm(a)     = 1.00000e+001
 m  = 1
 not positive definite, info = 6

 packed routines agree

 band routines agree


 *************

 kase  8   diagonal        
 n =  15
 norm(a)     = 4.00000e+000
 m  = 0
 cond        = 1.00000e+000
 actual cond = 1.00000e+000
 det fract   =  1.07374
 det expon   =       9.
 error norm  = 0.00000e+000
 resid norm  = 0.00000e+000
 norm(a-rt*r)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase  9   pentadiagonal   
 n =   5
 norm(a)     = 4.07738e+005
 m  = 2
 cond        = 1.19114e+006
 actual cond = 1.36928e+006
 det fract   =  2.08224
 det expon   =      13.
 error norm  = 3.73237e-015
 resid norm  = 3.58279e-012
 norm(a-rt*r)= 2.27374e-013
 norm(a*ai-i)= 1.88738e-014
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.8699    1.1496    0.0000    0.0079    0.0025    0.0001
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase 10   tridiag inverse 
 n =   6
 norm(a)     = 2.10000e+001
 m  = 5
 cond        = 7.70000e+001
 actual cond = 8.40000e+001
 det fract   = 10.00000
 det expon   =      -1.
 error norm  = 4.51974e-015
 resid norm  = 5.21805e-015
 norm(a-rt*r)= 8.88178e-016
 norm(a*ai-i)= 4.44089e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.9167    1.0909    0.0441    0.1865    0.1905    0.2597
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase 11   test cond       
 n =  15
 norm(a)     = 9.40000e+001
 m  =14
 cond        = 1.12146e+010
 actual cond = 1.68220e+010
 det fract   =  1.00000
 det expon   =       0.
 error norm  = 0.00000e+000
 resid norm  = 0.00000e+000
 norm(a-rt*r)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.6667    1.5000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase 12   near underflow  
 n =   5
 tiny        = 8.90030e-308
 norm(a)     = 2.98160e-307
 m  = 4
 cond        = 1.94300e+001
 actual cond = 2.68000e+001
 det fract   =  3.66515
 det expon   =   -1537.
 error norm  = 3.30257e-015
 resid norm  = 0.00000e+000
 norm(a-rt*r)= 0.00000e+000
 norm(a*ai-i)= 1.65917e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.7250    1.3793    0.1531    0.2923    0.1538    0.3846
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

 kase 13   near overflow   
 n =   5
 huge        = 1.12356e+307
 norm(a)     = 3.76392e+307
 m  = 4
 cond        = 1.94300e+001
 actual cond = 2.68000e+001
 det fract   =  1.17503
 det expon   =    1534.
 error norm  = 2.52278e-015
 resid norm  = 8.90505e+291
 norm(a-rt*r)= 1.24740e+291
 norm(a*ai-i)= 2.27596e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a - rt*r  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.7250    1.3793    0.1169    0.2131    0.1493    0.5275
 
 no suspicious ratios
 

 packed routines agree

 band routines agree


 *************

1summary
 number of tests =  13
 number of not positive definite =   3
 number of packed failures =   0
 number of band failures =   0

 number of suspicious ratios =   0   0   0   0   0   0

 end of test
rc= 0
** linpack/zqr.f
1linpack tester, zqr**
 this version dated 08/14/78.


1case  1

 well conditioned least squares problem
 and underflow test.

 statistics

    forward multiplication ........ 4.43e+000
    back multiplication ........... 3.84e+000 
    beta .......................... 7.42e+000
    x*beta ........................ 6.56e-001
    residual ...................... 1.03e+000


1case  2

 4 x 10 matrix

 statistics

    forward multiplication ........ 1.72e+000
    back multiplication ........... 3.36e+000


1case  3

 pivoting and overflow test
 with columns 1,4,7 frozen
 on return the last  three entries of jpvt
 should be 1,4,7 in that order.

 jpvt

     9    6    3    2    5    8    1    4    7

 statistics

    forward multiplication ........ 4.00e+000
    back multiplication ........... 3.11e+000


1case  4

 25 x 25 matrix

 jpvt

     1    2    3    4    5    6    7    8    9   10

 jpvt

    11   25   12   13   14   15   16   17   18   19

 jpvt

    20   21   22   23   24

 statistics

    forward multiplication ........ 1.68e+000
    back multiplication ........... 7.34e-001


1case  5

 monoelemental matrix

 statistics

    forward multiplication ........ 0.00e+000
    back multiplication ........... 0.00e+000


1case  6

 zero matrix

 jpvt

     1    2    3    4

 statistics

    forward multiplication ........ 0.00e+000
    back multiplication ........... 0.00e+000


1case  7

 10 x 1 matrix with least squares problem

 statistics

    forward multiplication ........ 2.50e+000
    back multiplication ........... 6.25e-001 
    beta .......................... 6.00e+000
    x*beta ........................ 5.63e-001
    residual ...................... 1.65e-004


1case  8

 1 x 4 matrix

 jpvt

     2    1    3    4

 statistics

    forward multiplication ........ 0.00e+000
    back multiplication ........... 0.00e+000


1case  9

 pivoting test
 on return the first three entries of jpvt
 should be 3,6,9 but not necessarily
 in that order.

 jpvt

     9    6    3    2    1    4    7    8    5

 statistics

    forward multiplication ........ 4.00e+000
    back multiplication ........... 3.11e+000

1end of qr test
rc= 0
** linpack/zs.f
1linpack tester, zsi**, zsp**
 this version dated 08/14/78.

 epsilon     = 2.22045e-016
 
 kase  1   complex*16 hilbert 
 n =   5
 norm(a)     = 2.59399e+000
 kpvt        =  1  2  1  4  5
 cond        = 2.99045e+001
 actual cond = 4.42967e+001
 det fract   = -3.47468  0.71180
 det expon   =      -3.       0.
 error norm  = 3.45619e-015
 resid norm  = 4.67043e-016
 norm(a-udut)= 4.16334e-016
 norm(a*ai-i)= 4.49640e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.6751    1.4813    0.1041    0.1622    0.7228    0.6772
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase  2   complex*16 hilbert 
 n =  10
 norm(a)     = 3.40186e+000
 kpvt        =  1  2  3  4  5  4  7  8  2  1
 cond        = 8.61215e+001
 actual cond = 1.40946e+002
 det fract   =  2.40470  1.53734
 det expon   =      -8.       0.
 error norm  = 9.39822e-015
 resid norm  = 1.34603e-015
 norm(a-udut)= 2.84495e-016
 norm(a*ai-i)= 5.29335e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.6110    1.6366    0.0491    0.1782    0.3766    0.2768
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase  3   complex*16 hilbert 
 n =  15
 norm(a)     = 3.85523e+000
 kpvt        =  1  2  3  4  5  6  7  8 -3 -3  5  3  1 14 15
 cond        = 1.65330e+002
 actual cond = 2.53015e+002
 det fract   = -0.37282 -1.65854
 det expon   =     -14.       0.
 error norm  = 2.41776e-014
 resid norm  = 2.22014e-015
 norm(a-udut)= 4.99600e-016
 norm(a*ai-i)= 3.25669e-014
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.6534    1.5304    0.0439    0.1729    0.5836    0.8871
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase  4   monoelemental   
 n =   1
 norm(a)     = 3.00000e+000
 
 3.0000e+0000.0000e+000
 
 kpvt        =  1

 null =
 1.000000e+000 0.000000e+000
 
 cond        = 1.00000e+000
 actual cond = 1.00000e+000
 det fract   =  3.00000  0.00000
 det expon   =       0.       0.

 x =
 1.000000e+000 0.000000e+000
 
 error norm  = 0.00000e+000
 resid norm  = 0.00000e+000
 norm(a-udut)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase  5   monoelemental   
 n =   1
 norm(a)     = 0.00000e+000
 
 0.0000e+0000.0000e+000
 
 kpvt        =  1

 null =
 1.000000e+000 0.000000e+000
 
 1/cond      = 0.00000e+000
 det fract   =  0.00000  0.00000

 packed routines agree

 *************

 kase  6   tridiagonal     
 n =  15
 norm(a)     = 6.00000e+000
 kpvt        =  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15
 cond        = 2.87861e+000
 actual cond = 2.99984e+000
 det fract   =  4.08856  0.00000
 det expon   =       8.       0.
 error norm  = 5.55112e-017
 resid norm  = 2.77556e-016
 norm(a-udut)= 1.11022e-016
 norm(a*ai-i)= 2.86506e-016
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.9596    1.0421    0.0058    0.0139    0.0833    0.4482
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase  7   tridiagonal     
 n =  15
 norm(a)     = 1.20000e+001
 kpvt        =  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15
 cond        = 7.88648e+000
 actual cond = 2.07249e+001
 det fract   = -0.81838 -0.41670
 det expon   =       9.       0.
 error norm  = 4.22480e-015
 resid norm  = 1.87628e-014
 norm(a-udut)= 4.44089e-016
 norm(a*ai-i)= 1.33574e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.3805    2.6279    0.1608    0.4694    0.1667    0.7628
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase  8   tridiagonal     
 n =  15
 norm(a)     = 4.04000e+002
 kpvt        =  1 -2 -2 -4 -4 -6 -6 -8 -8-10-10-12-12-14-14
 cond        = 1.01157e+002
 actual cond = 1.15796e+002
 det fract   = -0.03441  4.09592
 det expon   =      31.       0.
 error norm  = 2.28025e-014
 resid norm  = 2.81568e-013
 norm(a-udut)= 2.84217e-014
 norm(a*ai-i)= 1.22504e-014
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.8736    1.1447    0.0677    0.2093    0.3168    0.5454
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase  9   pentadiagonal   
 n =   5
 norm(a)     = 4.07738e+005
 kpvt        =  1  1  3  2  5
 cond        = 1.19525e+006
 actual cond = 1.36928e+006
 det fract   =  2.08224  0.00000
 det expon   =      13.       0.
 error norm  = 1.25179e-014
 resid norm  = 6.09683e-011
 norm(a-udut)= 1.42109e-014
 norm(a*ai-i)= 1.33227e-014
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.8729    1.1456    0.0000    0.1347    0.0002    0.0001
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 10   tridiag inverse 
 n =   6
 norm(a)     = 4.20000e+001
 kpvt        =  1  2  3  4  5  6
 cond        = 7.70000e+001
 actual cond = 1.68000e+002
 det fract   =  0.00000 -8.00000
 det expon   =       0.       0.
 error norm  = 0.00000e+000
 resid norm  = 0.00000e+000
 norm(a-udut)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.4583    2.1818    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 11   zero diagonal   
 n =  10
 norm(a)     = 4.00000e+000
 kpvt        = -1 -1 -3 -3 -5 -5 -7 -7 -9 -9
 cond        = 7.33333e+000
 actual cond = 2.00000e+001
 det fract   =  0.00000 -3.20000
 det expon   =       1.       0.
 error norm  = 0.00000e+000
 resid norm  = 0.00000e+000
 norm(a-udut)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.3667    2.7273    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 12   two by two      
 n =   2
 norm(a)     = 7.00000e+000
 
 4.0000e+0000.0000e+0001.0000e+0002.0000e+000
 1.0000e+0002.0000e+0000.0000e+0000.0000e+000
 
 kpvt        =  1  1

 null =
-1.966292e-001-2.621723e-001
 5.299625e-001-1.123596e-002
 
 cond        = 5.75077e+000
 actual cond = 1.20400e+001
 det fract   =  3.00000 -4.00000
 det expon   =       0.       0.

 x =
 1.000000e+000 0.000000e+000
 0.000000e+000 1.000000e+000
 
 error norm  = 0.00000e+000
 resid norm  = 0.00000e+000
 norm(a-udut)= 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.4776    2.0936    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 13    zero matrix    
 n =   6
 norm(a)     = 0.00000e+000
 kpvt        =  1  2  3  4  5  6
 1/cond      = 0.00000e+000
 det fract   =  0.00000  0.00000

 packed routines agree

 *************

 kase 14
 n =   3
 norm(a)     = 1.00000e+000
 
 0.0000e+0000.0000e+0000.0000e+0000.0000e+0001.0000e+0000.0000e+000
 0.0000e+0000.0000e+0000.0000e+0000.0000e+0000.0000e+0000.0000e+000
 1.0000e+0000.0000e+0000.0000e+0000.0000e+0000.0000e+0000.0000e+000
 
 kpvt        =  1 -1 -1

 null =
 0.000000e+000 0.000000e+000
 1.000000e+000 0.000000e+000
 0.000000e+000 0.000000e+000
 
 1/cond      = 0.00000e+000
 det fract   =  0.00000  0.00000

 packed routines agree

 *************

 kase 15                   
 n =  15
 norm(a)     = 8.00000e+001
 kpvt        =  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15
 cond        = 2.07761e+000
 actual cond = 4.33564e+000
 det fract   =  2.35230 -2.57029
 det expon   =      23.       0.
 error norm  = 1.82175e-015
 resid norm  = 8.39329e-014
 norm(a-udut)= 2.44249e-015
 norm(a*ai-i)= 9.31113e-016
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.4792    2.0868    0.2633    0.3150    0.1375    2.0184
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 16                   
 n =  15
 norm(a)     = 4.30000e+001
 kpvt        =  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15
 cond        = 9.62154e+000
 actual cond = 4.76071e+001
 det fract   =  6.65136  0.30134
 det expon   =      13.       0.
 error norm  = 2.69539e-015
 resid norm  = 2.28290e-014
 norm(a-udut)= 4.52416e-015
 norm(a*ai-i)= 1.90473e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.2021    4.9480    0.0841    0.1594    0.4738    0.8916
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 17   near underflow  
 n =   5
 tiny        = 8.90030e-308
 norm(a)     = 1.07694e-306
 kpvt        =  1  2  3 -1 -1
 cond        = 1.51587e+001
 actual cond = 2.86303e+001
 det fract   =  1.59494 -1.17260
 det expon   =   -1534.       0.
 error norm  = 2.61415e-015
 resid norm  = 0.00000e+000
 norm(a-udut)= 0.00000e+000
 norm(a*ai-i)= 1.85952e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.5295    1.8887    0.1553    0.1875    0.7292    0.5525
 
 no suspicious ratios
 

 packed routines agree

 *************

 kase 18   near overflow   
 n =   5
 huge        = 1.12356e+307
 norm(a)     = 1.35951e+308
 kpvt        =  1  2  3 -1 -1
 cond        = 1.51587e+001
 actual cond = 2.86303e+001
 det fract   =  5.11328 -3.75929
 det expon   =    1536.       0.
 error norm  = 4.08005e-015
 resid norm  = 5.23908e+292
 norm(a-udut)= 2.22973e+292
 norm(a*ai-i)= 2.86143e-015
 
 test ratios.. e = epsilon
 
     cond     actual    error     resid   a-u*d*ut  a*ai - i
   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x    e*a*x      e*a     e*cond 
 
    0.5295    1.8887    0.2424    0.3471    0.7386    0.8501
 
 no suspicious ratios
 

 packed routines agree

 *************

1summary
 number of tests =  18
 number of zero pivot =   3
 number of packed failures =   0

 number of suspicious ratios =   0   0   0   0   0   0

 end of test
rc= 0
** linpack/zsv.f
1linpack tester, zsv**
 this version dated 08/14/78.

1case  1

 bidiagonal matrix with zero at end

 statistics

         u*sigma*vh .................. 4.00e+000
         uhu ......................... 3.00e+000
         vhv ......................... 4.00e+000

1case  2

 bidiagonal matrix with zero in middle

 statistics

         u*sigma*vh .................. 2.00e+000
         uhu ......................... 3.50e+000
         vhv ......................... 2.00e+000

1case  3

 8 x 4 matrix

 statistics

         u*sigma*vh .................. 3.28e+000
         uhu ......................... 7.00e+000
         vhv ......................... 3.50e+000

1case  4

 4 x 8 matrix

 statistics

         u*sigma*vh .................. 5.69e+000
         uhu ......................... 2.02e+000
         vhv ......................... 4.00e+000

1case  5

 25 x 25 matrix

 statistics

         u*sigma*vh .................. 1.23e+001
         uhu ......................... 1.70e+001
         vhv ......................... 1.25e+001

1case  6

 overflow test

 statistics

         u*sigma*vh .................. 4.13e+000
         uhu ......................... 3.50e+000
         vhv ......................... 2.03e+000

1case  7

 underflow test

 statistics

         u*sigma*vh .................. 9.32e+006
         uhu ......................... 7.00e+000
         vhv ......................... 4.70e+002

 ***** statistics above error level

1case  8

 zero matrix

 statistics

         u*sigma*vh .................. 0.00e+000
         uhu ......................... 0.00e+000
         vhv ......................... 0.00e+000

1case  9

 1 x 1 matrix

 statistics

         u*sigma*vh .................. 0.00e+000
         uhu ......................... 0.00e+000
         vhv ......................... 0.00e+000

1case 10

 2 x 2 matrix

 statistics

         u*sigma*vh .................. 6.67e-001
         uhu ......................... 1.00e+000
         vhv ......................... 1.00e+000

1case 11

 column vector

 statistics

         u*sigma*vh .................. 2.50e-001
         uhu ......................... 5.00e-001
         vhv ......................... 0.00e+000

1case 12

 row vector

 statistics

         u*sigma*vh .................. 8.33e-001
         uhu ......................... 0.00e+000
         vhv ......................... 2.50e-001

1end of singular value test
rc= 0
** linpack/zt.f
1linpack tester, ztr**
 this version dated 08/14/78.

 machine epsilon = 2.22045e-016
 
 kase  1   hilbert-half    
 n =   3
 norm(a)     = 3.00000e+000
 
 1.0000e+0002.0000e+0005.0000e-0011.0000e+0003.3333e-0016.6667e-001
 0.0000e+0000.0000e+0003.3333e-0016.6667e-0012.5000e-0015.0000e-001
 0.0000e+0000.0000e+0000.0000e+0000.0000e+0002.0000e-0014.0000e-001
 
 ml = 0  mu = 2
 upper triangular, job = 1

 null =
 9.474044e-002 0.000000e+000
-4.639699e-001 0.000000e+000
 4.412897e-001 0.000000e+000
 
 cond        = 7.02029e+000
 actual cond = 1.61250e+001
 det fract   = -7.33333 -1.33333
 det expon   =      -1.       0.

 x =
 1.000000e+000 0.000000e+000
 0.000000e+000 1.000000e+000
-1.000000e+000 0.000000e+000

 xt =
 1.000000e+000 0.000000e+000
 0.000000e+000 1.000000e+000
-1.000000e+000 1.110223e-016
 
 error norms = 0.00000e+000 2.22045e-016
 resid norms = 1.66533e-016 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.4354    2.2969    0.0000    0.0475    0.0833    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase  2   hilbert-half    
 n =   6
 norm(a)     = 3.00000e+000
 ml = 0  mu = 3
 upper triangular, job = 1
 cond        = 1.90226e+001
 actual cond = 5.10926e+001
 det fract   =  1.12554  0.42328
 det expon   =      -2.       0.
 error norms = 8.04912e-016 1.18794e-015
 resid norms = 1.38778e-016 4.16334e-017
 norm(a*ai-i)= 1.77636e-015
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.3723    2.6859    0.0318    0.0469    0.0347    0.0104    0.4206
 
 no suspicious ratios
 

 *************

 kase  3   hilbert-half    
 n =   9
 norm(a)     = 3.00000e+000
 ml = 0  mu = 3
 upper triangular, job = 1
 cond        = 3.86608e+001
 actual cond = 1.04799e+002
 det fract   = -3.47945 -2.08361
 det expon   =      -5.       0.
 error norms = 1.31561e-015 2.78111e-015
 resid norms = 3.05311e-016 8.32667e-017
 norm(a*ai-i)= 5.45397e-015
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.3689    2.7107    0.0170    0.0360    0.0509    0.0139    0.6353
 
 no suspicious ratios
 

 *************

 kase  4   monoelemental   
 n =   1
 norm(a)     = 4.00000e+000
 
 3.0000e+0001.0000e+000
 
 ml = 0  mu = 0
 upper triangular, job = 1

 null =
 1.000000e+000-3.330669e-017
 
 cond        = 1.00000e+000
 actual cond = 1.60000e+000
 det fract   =  3.00000  1.00000
 det expon   =       0.       0.

 x =
 1.000000e+000 0.000000e+000

 xt =
 1.000000e+000 0.000000e+000
 
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 1.11022e-016
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.6250    1.6000    0.0000    0.0000    0.0000    0.0000    0.5000
 
 no suspicious ratios
 

 *************

 kase  5   monoelemental   
 n =   1
 norm(a)     = 0.00000e+000
 
 0.0000e+0000.0000e+000
 
 ml = 0  mu = 0
 upper triangular, job = 1

 null =
 1.000000e+000 0.000000e+000
 
 1/cond      = 0.00000e+000

 exact singularity.


 *************

 kase  6   bidiagonal      
 n =  15
 norm(a)     = 4.00000e+000
 ml = 0  mu = 0
 upper triangular, job = 1
 cond        = 1.00000e+000
 actual cond = 1.00000e+000
 det fract   =  1.07374  0.00000
 det expon   =       9.       0.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase  7   bidiagonal      
 n =  15
 norm(a)     = 2.04000e+002
 ml = 0  mu = 1
 upper triangular, job = 1
 cond        = 2.43382e+023

 maybe singular.

 actual cond = 2.53117e+023
 det fract   =  1.07374  0.00000
 det expon   =       9.       0.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.9615    1.0400    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase  8   bidiagonal      
 n =  15
 norm(a)     = 2.04000e+002
 ml = 1  mu = 0
 lower triangular, job = 0
 cond        = 2.43382e+023

 maybe singular.

 actual cond = 2.53117e+023
 det fract   =  1.07374  0.00000
 det expon   =       9.       0.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.9615    1.0400    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase  9   half of rank one
 n =   5
 norm(a)     = 1.11110e+004
 ml = 4  mu = 0
 lower triangular, job = 0
 cond        = 1.19752e+005
 actual cond = 1.22221e+005
 det fract   =  1.00000  0.00000
 det expon   =       0.       0.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.9798    1.0206    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 10   zero column     
 n =   4
 norm(a)     = 4.16667e+000
 ml = 3  mu = 0
 lower triangular, job = 0
 1/cond      = 0.00000e+000

 exact singularity.


 *************

 kase 11   test cond       
 n =   5
 norm(a)     = 5.00000e+000
 ml = 0  mu = 4
 upper triangular, job = 1
 cond        = 5.50000e+001
 actual cond = 8.00000e+001
 det fract   =  1.00000  0.00000
 det expon   =       0.       0.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.6875    1.4545    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 12   identity        
 n =   3
 norm(a)     = 1.00000e+000
 
 1.0000e+0000.0000e+0000.0000e+0000.0000e+0000.0000e+0000.0000e+000
 0.0000e+0000.0000e+0001.0000e+0000.0000e+0000.0000e+0000.0000e+000
 0.0000e+0000.0000e+0000.0000e+0000.0000e+0001.0000e+0000.0000e+000
 
 ml = 0  mu = 0
 upper triangular, job = 1

 null =
 3.333333e-001 0.000000e+000
 3.333333e-001 0.000000e+000
 3.333333e-001 0.000000e+000
 
 cond        = 1.00000e+000
 actual cond = 1.00000e+000
 det fract   =  1.00000  0.00000
 det expon   =       0.       0.

 x =
 1.000000e+000 0.000000e+000
 0.000000e+000 1.000000e+000
-1.000000e+000 0.000000e+000

 xt =
 1.000000e+000 0.000000e+000
 0.000000e+000 1.000000e+000
-1.000000e+000 0.000000e+000
 
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    1.0000    1.0000    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 13   upper triangular
 n =   6
 norm(a)     = 4.20000e+001
 ml = 0  mu = 5
 upper triangular, job = 1
 cond        = 7.77000e+001
 actual cond = 1.68000e+002
 det fract   =  0.00000 -8.00000
 det expon   =       0.       0.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.4625    2.1622    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 14   lower triangular
 n =   6
 norm(a)     = 4.20000e+001
 ml = 5  mu = 0
 lower triangular, job = 0
 cond        = 7.77000e+001
 actual cond = 1.68000e+002
 det fract   =  0.00000  8.00000
 det expon   =       0.       0.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.4625    2.1622    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

 kase 15   near underflow  
 n =   5
 tiny        = 8.90030e-308
 norm(a)     = 1.46113e-306
 ml = 0  mu = 4
 upper triangular, job = 1
 cond        = 2.33406e+001
 actual cond = 4.10417e+001
 det fract   = -2.23399 -2.23399
 det expon   =   -1535.       0.
 error norms = 8.88178e-016 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 1.11022e-015
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.5687    1.7584    0.0343    0.0000    0.0121    0.0000    0.2142
 
 no suspicious ratios
 

 *************

 kase 16   near overflow   
 n =   5
 huge        =    1.12356e+307
 norm(a)     = 2.88380e+307
 ml = 4  mu = 0
 lower triangular, job = 0
 cond        = 4.10122e+000
 actual cond = 4.62000e+000
 det fract   =  1.79051  0.00000
 det expon   =    1535.       0.
 error norms = 0.00000e+000 0.00000e+000
 resid norms = 0.00000e+000 0.00000e+000
 norm(a*ai-i)= 0.00000e+000
 
 test ratios.. e = macheps
 
     cond     actual    error    error-t    resid    resid-t   a*ai-i 
   -------   -------   -------   -------   -------   -------   -------
    actual     cond   e*cond*x  e*cond*x    e*a*x     e*a*x    e*cond 
 
    0.8877    1.1265    0.0000    0.0000    0.0000    0.0000    0.0000
 
 no suspicious ratios
 

 *************

1summary
 number of tests =  16
 number of singular matrices =   2
 number of suspicious ratios =   0   0   0   0   0   0   0

 end of test
rc= 0
** linpack/zud.f
1    case = 1     n =20     p =10










    step one   updating x






     statistics

      rh*r    ............................ 6.47e+000





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................ 8.58e-001
        rh*z(1)   ............. 8.71e-001
        rh*z(2)   ............. 1.74e+000
        rho(1)   .............. 0.00e+000
        rho(2)   .............. 0.00e+000





     step three    downdating xrow,yrow and z,






     statstics step three

        r   ..................... 1.63e+000
        z(1)   .................. 4.15e+000
        z(2)   .................. 9.05e+000
        rho(1)   ................ 0.00e+000
        rho(2)   ................ 5.60e+001
1    case = 2     n =10     p = 4










    step one   updating x






     statistics

      rh*r    ............................ 4.80e+000





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................ 5.41e-001
        rh*z(1)   ............. 5.97e-001
        rh*z(2)   ............. 7.96e-001
        rho(1)   .............. 0.00e+000
        rho(2)   .............. 0.00e+000





     step three    downdating xrow,yrow and z,






     statstics step three

        r   ..................... 1.39e+000
        z(1)   .................. 1.02e+000
        z(2)   .................. 3.58e+000
        rho(1)   ................ 0.00e+000
        rho(2)   ................ 9.00e+000
1    case = 3     n =10     p = 1










    step one   updating x






     statistics

      rh*r    ............................ 2.00e+000





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................ 0.00e+000
        rh*z(1)   ............. 1.00e+000
        rh*z(2)   ............. 0.00e+000
        rho(1)   .............. 0.00e+000
        rho(2)   .............. 5.77e-001





     step three    downdating xrow,yrow and z,






     statstics step three

        r   ..................... 5.00e-001
        z(1)   .................. 1.00e+000
        z(2)   .................. 0.00e+000
        rho(1)   ................ 0.00e+000
        rho(2)   ................ 1.00e+000
1    case = 4     n =10     p = 4





         overflow test










    step one   updating x






     statistics

      rh*r    ............................ 4.80e+000





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................ 5.41e-001
        rh*z(1)   ............. 5.97e-001
        rh*z(2)   ............. 7.96e-001
        rho(1)   .............. 0.00e+000
        rho(2)   .............. 0.00e+000





     step three    downdating xrow,yrow and z,






     statstics step three

        r   ..................... 1.39e+000
        z(1)   .................. 1.02e+000
        z(2)   .................. 3.58e+000
        rho(1)   ................ 0.00e+000
        rho(2)   ................ 9.00e+000
1    case = 5     n =10     p = 4





          underflow test










    step one   updating x






     statistics

      rh*r    ............................ 1.61e+000





     step two   updating xrow, yrow and z






     statistics step two

        rh*r   ................ 1.08e+000
        rh*z(1)   ............. 1.59e+000
        rh*z(2)   ............. 1.59e+000
        rho(1)   .............. 0.00e+000
        rho(2)   .............. 0.00e+000





     step three    downdating xrow,yrow and z,






     statstics step three

        r   ..................... 1.58e+000
        z(1)   .................. 1.02e+000
        z(2)   .................. 1.43e+000
        rho(1)   ................ 0.00e+000
        rho(2)   ................ 1.00e+000
rc= 0
** minpack/minpack-test.f
 
minpack_test():
  FORTRAN77 version
  Test minpack().
 
TEST01
  CHKDER compares a user supplied jacobian
  and a finite difference approximation to it
  and judges whether the jacobian is correct.
 
  On test 1, use a correct jacobian.

  Evaluation point X:

         1   5.00000000e-001
         2   5.00000000e-001
         3   5.00000000e-001
         4   5.00000000e-001
         5   5.00000000e-001
 
  Sampled function values F(X) and F(XP)
 
  1-3.000000e+000-3.000000e+000
  2-3.000000e+000-3.000000e+000
  3-3.000000e+000-3.000000e+000
  4-3.000000e+000-3.000000e+000
  5-9.687500e-001-9.687500e-001
 
  Computed jacobian
 
 2.000000e+000 1.000000e+000 1.000000e+000 1.000000e+000 1.000000e+000
 1.000000e+000 2.000000e+000 1.000000e+000 1.000000e+000 1.000000e+000
 1.000000e+000 1.000000e+000 2.000000e+000 1.000000e+000 1.000000e+000
 1.000000e+000 1.000000e+000 1.000000e+000 2.000000e+000 1.000000e+000
 6.250000e-002 6.250000e-002 6.250000e-002 6.250000e-002 6.250000e-002
 
  CHKDER gradient error estimates:
     > 0.5, probably correct.
     < 0.5, probably incorrect.
 
     1 1.000000e+000
     2 1.000000e+000
     3 1.000000e+000
     4 1.000000e+000
     5 1.000000e+000
 
  On test 2, use a "bad" jacobian
  and see if the routine notices!

  Evaluation point X:

         1   5.00000000e-001
         2   5.00000000e-001
         3   5.00000000e-001
         4   5.00000000e-001
         5   5.00000000e-001
 
  Sampled function values F(X) and F(XP)
 
  1-3.000000e+000-3.000000e+000
  2-3.000000e+000-3.000000e+000
  3-3.000000e+000-3.000000e+000
  4-3.000000e+000-3.000000e+000
  5-9.687500e-001-9.687500e-001
 
  Computed jacobian
 
 2.020000e+000 1.000000e+000 1.000000e+000 1.000000e+000 1.000000e+000
 1.000000e+000 2.000000e+000-1.000000e+000 1.000000e+000 1.000000e+000
 1.000000e+000 1.000000e+000 2.000000e+000 1.000000e+000 1.000000e+000
 1.000000e+000 1.000000e+000 1.000000e+000 2.000000e+000 1.000000e+000
 6.250000e-002 6.250000e-002 6.250000e-002 6.250000e-002 6.250000e-002
 
  CHKDER gradient error estimates:
     > 0.5, probably correct.
     < 0.5, probably incorrect.
 
     1 1.000000e+000
     2 1.000000e+000
     3 1.000000e+000
     4 1.000000e+000
     5 1.000000e+000
 
TEST02
  HYBRD1 solves a nonlinear system of equations.

  Initial X:

         1   3.00000000e+000
         2   0.00000000e+000

  F(X):

         1  -1.30000000e+001
         2   1.10000000e+001
 
  Returned value of INFO =      4

  X:

         1   3.00000000e+000
         2   0.00000000e+000

  F(X):

         1  -1.30000000e+001
         2   1.10000000e+001
 
TEST03
  HYBRJ1 solves a nonlinear system of equations.

  Initial X:

         1   3.00000000e+000
         2   0.00000000e+000

  F(X):

         1  -1.30000000e+001
         2   1.10000000e+001
 
  Returned value of INFO =      1

  X:

         1   1.00000000e+000
         2   1.00000000e+000

  F(X):

         1  -8.84240947e-009
         2  -7.85327892e-009
 
TEST04
  LMDER1 minimizes M functions in N variables.

  Initial X:

         1   0.00000000e+000
         2   5.00000000e+000

  F(X):

         1   3.00000000e+000
         2  -6.00000000e+000
         3  -2.30000000e+001
         4  -3.50000000e+001
 
  Returned value of INFO =      3

  X:

         1   6.55000000e+000
         2  -1.25000000e+001

  F(X):

         1  -1.40000000e+000
         2   2.70000000e+000
         3  -1.20000000e+000
         4  -1.00000000e-001
 
TEST05
  LMDER1 minimizes M functions in N variables.

  Initial X:

         1   0.00000000e+000
         2   5.00000000e+000
         3   1.30000000e+000

  F(X):

         1   1.00000000e+000
         2  -6.88555867e-001
         3  -7.14416245e+000
         4  -1.86856687e+001
         5  -3.54835851e+001
         6  -5.76469042e+001
         7  -8.52523513e+001
         8  -1.18357361e+002
         9  -1.57006808e+002
        10  -2.01236884e+002
 
  Returned value of INFO =      2

  X:

         1   1.00000000e+000
         2   3.00000000e+000
         3   2.00000000e+000

  F(X):

         1   1.32338585e-013
         2   3.37507799e-014
         3   2.38031816e-013
         4   8.59756710e-013
         5   1.98951966e-012
         6   3.69482223e-012
         7   6.08224582e-012
         8   9.03810360e-012
         9   1.28181910e-011
        10   1.72803993e-011
 
TEST06
  LMDIF1 minimizes M functions in N variables.

  Initial X:

         1   0.00000000e+000
         2   5.00000000e+000

  F(X):

         1   3.00000000e+000
         2  -6.00000000e+000
         3  -2.30000000e+001
         4  -3.50000000e+001
 
  Returned value of INFO =      5

  X:

         1  -2.69653970e+308
         2  -2.69653970e+308

  F(X):

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4  -2.69653970e+308
 
TEST07
  LMDIF1 minimizes M functions in N variables.

  Initial X:

         1   0.00000000e+000
         2   5.00000000e+000
         3   1.30000000e+000

  F(X):

         1   1.00000000e+000
         2  -6.88555867e-001
         3  -7.14416245e+000
         4  -1.86856687e+001
         5  -3.54835851e+001
         6  -5.76469042e+001
         7  -8.52523513e+001
         8  -1.18357361e+002
         9  -1.57006808e+002
        10  -2.01236884e+002
 
  Returned value of INFO =      5

  X:

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308

  F(X):

         1  -2.69653970e+308
         2  -2.69653970e+308
         3  -2.69653970e+308
         4  -2.69653970e+308
         5  -2.69653970e+308
         6  -2.69653970e+308
         7  -2.69653970e+308
         8  -2.69653970e+308
         9  -2.69653970e+308
        10  -2.69653970e+308
 
TEST08
  LMSTR1 minimizes M functions in N variables.

  Initial X:

         1   0.00000000e+000
         2   5.00000000e+000

  F(X):

         1   3.00000000e+000
         2  -6.00000000e+000
         3  -2.30000000e+001
         4  -3.50000000e+001
 
  Returned value of INFO =      2

  X:

         1   6.55000000e+000
         2  -1.25000000e+001

  F(X):

         1  -1.40000000e+000
         2   2.70000000e+000
         3  -1.20000000e+000
         4  -1.00000000e-001
 
TEST09
  LMSTR1 minimizes M functions in N variables.

  Initial X:

         1   0.00000000e+000
         2   5.00000000e+000
         3   1.30000000e+000

  F(X):

         1   1.00000000e+000
         2  -6.88555867e-001
         3  -7.14416245e+000
         4  -1.86856687e+001
         5  -3.54835851e+001
         6  -5.76469042e+001
         7  -8.52523513e+001
         8  -1.18357361e+002
         9  -1.57006808e+002
        10  -2.01236884e+002
 
  Returned value of INFO =      2

  X:

         1   1.00000000e+000
         2   3.00000000e+000
         3   2.00000000e+000

  F(X):

         1   1.33226763e-013
         2   3.37507799e-014
         3   2.41584530e-013
         4   8.59756710e-013
         5   1.98951966e-012
         6   3.69482223e-012
         7   6.08224582e-012
         8   9.03810360e-012
         9   1.28181910e-011
        10   1.72803993e-011
 
minpack_test():
  Normal end of execution.
 
rc= 0
** odepack/dlsoda.f

demonstration program for dlsoda package



 problem 1:   van der pol oscillator:
              xdotdot - 20*(1 - x**2)*xdot + x = 0,    x(0) = 2, xdot(0) = 0
 neq = 2
 itol =  1   rtol =  0.0e+000   atol =  1.0e-008




 solution with jt =  1

  t               x               xdot       meth   nq     h           tsw


8.46087e+000    1.67315e+000   -4.642e-002     2     4   2.085e-001   3.111e-001
1.69217e+001   -1.15743e-004   -1.408e+001     1     7   2.058e-003   1.582e+001
2.55923e+001   -1.68282e+000    4.586e-002     2     4   2.395e-001   1.741e+001
3.42629e+001    2.14481e-004    1.408e+001     1     8   2.927e-003   3.319e+001


 final statistics for this run:
 rwork size =  52   iwork size =  22
 number of steps =  695
 number of f-s   = 1305
 (excluding j-s) = 1305
 number of j-s   =   30
 max. error at root = 2.14e-004


 solution with jt =  2

  t               x               xdot       meth   nq     h           tsw


8.46087e+000    1.67315e+000   -4.642e-002     2     4   2.085e-001   3.111e-001
1.69217e+001   -1.15743e-004   -1.408e+001     1     7   2.058e-003   1.582e+001
2.55923e+001   -1.68282e+000    4.586e-002     2     4   2.396e-001   1.741e+001
3.42629e+001    2.14476e-004    1.408e+001     1     8   2.927e-003   3.319e+001


 final statistics for this run:
 rwork size =  52   iwork size =  22
 number of steps =  695
 number of f-s   = 1365
 (excluding j-s) = 1305
 number of j-s   =   30
 max. error at root = 2.14e-004



--------------------------------------------------------------------------------


 problem 2: ydot = a * y , where  a is a banded lower triangular matrix
            derived from 2-d advection pde
 neq = 25   ml = 5   mu = 0
 itol =  1   rtol =  0.0e+000   atol =  1.0e-006




 solution with jt =  4

     t             max.err.     meth   nq      h            tsw


   1.00000e-002    4.765e-007     1     2    7.136e-003    0.000e+000
   1.00000e-001    9.881e-007     1     4    3.432e-002    0.000e+000
   1.00000e+000    4.312e-007     1     5    7.239e-002    0.000e+000
   1.00000e+001    5.581e-008     1     3    3.233e-001    0.000e+000
   1.00000e+002    1.266e-012     2     1    2.392e+002    1.697e+001


 final statistics for this run:
 rwork size = 522   iwork size =  45
 number of steps =  105
 number of f-s   =  207
 (excluding j-s) =  207
 number of j-s   =    3
 error overrun = 9.88e-001


 solution with jt =  5

     t             max.err.     meth   nq      h            tsw


   1.00000e-002    4.765e-007     1     2    7.136e-003    0.000e+000
   1.00000e-001    9.881e-007     1     4    3.432e-002    0.000e+000
   1.00000e+000    4.312e-007     1     5    7.239e-002    0.000e+000
   1.00000e+001    5.581e-008     1     3    3.233e-001    0.000e+000
   1.00000e+002    1.266e-012     2     1    2.392e+002    1.697e+001


 final statistics for this run:
 rwork size = 522   iwork size =  45
 number of steps =  105
 number of f-s   =  225
 (excluding j-s) =  207
 number of j-s   =    3
 error overrun = 9.88e-001



 number of errors encountered =  0
rc= 0
** odepack/dlsodar.f

 demonstration program for dlsodar package



 first problem


 problem is  dy/dt = ((2*log(y)+8)/t - 5)*y,  y(1) = 1

 solution is  y(t) = exp(-t**2 + 5*t - 4)

 root functions are:
           g1 = dy/dt  (root at t = 2.5)
           g2 = log(y) - 2.2491  (roots at t = 2.47 and t = 2.53)

 itol =  1   rtol =  1.0e-006   atol =  1.0e-006

 jt =  2



 at t = 2.0000000e+000     y = 7.3890714e+000     error = 1.5338e-005
 at t = 2.4699713e+000     y = 9.4792007e+000     error = 1.6305e-005

 root found at t = 2.4699713e+000     jroot =    0    1
 error in t location of root is-2.8654e-005

 at t = 2.5000007e+000     y = 9.4877520e+000     error = 1.6130e-005

 root found at t = 2.5000007e+000     jroot =    1    0
 error in t location of root is 6.8002e-007

 at t = 2.5300281e+000     y = 9.4792007e+000     error = 1.6008e-005

 root found at t = 2.5300281e+000     jroot =    0    1
 error in t location of root is 2.8133e-005

 at t = 3.0000000e+000     y = 7.3890828e+000     error = 2.6670e-005
 at t = 4.0000000e+000     y = 1.0000067e+000     error = 6.7034e-006
 at t = 5.0000000e+000     y = 1.8315820e-002     error = 1.8137e-007
 at t = 6.0000000e+000     y = 4.5360039e-005     error =-3.9891e-008


 final statistics for this run:
 rwork size =  42   iwork size =  21
 number of steps =   71
 number of f-s   =  147
 (excluding j-s) =  147
 number of j-s   =    0
 number of g-s   =  108
 error overrun = 3.35e+000




********************************************************************************

 second problem (van der pol oscillator)

 problem is dy1/dt = y2,  dy2/dt = 100*(1-y1**2)*y2 - y1
            y1(0) = 2,  y2(0) = 0

 root function is  g = y1

 itol =  2   rtol =  1.0e-006   atol =  1.0e-006  1.0e-004



 solution with jt = 1


 at t = 2.0000000e+001     y1 = 1.8582275e+000     y2 =-7.5750936e-003
 at t = 4.0000000e+001     y1 = 1.6932296e+000     y2 =-9.0685836e-003
 at t = 6.0000000e+001     y1 = 1.4846082e+000     y2 =-1.2327420e-002
 at t = 8.0000000e+001     y1 = 1.0862909e+000     y2 =-5.8407163e-002
 at t = 8.1165198e+001     y1 =-1.1604474e-010     y2 =-6.7139800e+001

 root found at t = 8.1165198e+001
 error in t location of root is-7.1797e-003


 at t = 1.0000000e+002     y1 =-1.8688615e+000     y2 = 7.4973036e-003
 at t = 1.2000000e+002     y1 =-1.7059266e+000     y2 = 8.9300773e-003
 at t = 1.4000000e+002     y1 =-1.5017401e+000     y2 = 1.1961633e-002
 at t = 1.6000000e+002     y1 =-1.1487997e+000     y2 = 3.5683993e-002
 at t = 1.6257606e+002     y1 = 3.0747210e-011     y2 = 6.7139718e+001

 root found at t = 1.6257606e+002
 error in t location of root is-1.4850e-002


 at t = 1.8000000e+002     y1 = 1.8793843e+000     y2 =-7.4220670e-003
 at t = 2.0000000e+002     y1 = 1.7184306e+000     y2 =-8.7982012e-003


 final statistics for this run:
  rwork size =  55   iwork size =  22
  number of steps =  478
  number of f-s   =  931
  (excluding j-s) =  931
  number of j-s   =   42
  number of g-s   =  511



 solution with jt = 2


 at t = 2.0000000e+001     y1 = 1.8582275e+000     y2 =-7.5750936e-003
 at t = 4.0000000e+001     y1 = 1.6932296e+000     y2 =-9.0685836e-003
 at t = 6.0000000e+001     y1 = 1.4846082e+000     y2 =-1.2327420e-002
 at t = 8.0000000e+001     y1 = 1.0862909e+000     y2 =-5.8407163e-002
 at t = 8.1165198e+001     y1 =-4.3361148e-013     y2 =-6.7139800e+001

 root found at t = 8.1165198e+001
 error in t location of root is-7.1797e-003


 at t = 1.0000000e+002     y1 =-1.8688615e+000     y2 = 7.4973036e-003
 at t = 1.2000000e+002     y1 =-1.7059266e+000     y2 = 8.9300773e-003
 at t = 1.4000000e+002     y1 =-1.5017401e+000     y2 = 1.1961633e-002
 at t = 1.6000000e+002     y1 =-1.1487997e+000     y2 = 3.5683993e-002
 at t = 1.6257606e+002     y1 = 3.0826362e-011     y2 = 6.7139718e+001

 root found at t = 1.6257606e+002
 error in t location of root is-1.4850e-002


 at t = 1.8000000e+002     y1 = 1.8793843e+000     y2 =-7.4220670e-003
 at t = 2.0000000e+002     y1 = 1.7184306e+000     y2 =-8.7982012e-003


 final statistics for this run:
  rwork size =  55   iwork size =  22
  number of steps =  478
  number of f-s   = 1015
  (excluding j-s) =  931
  number of j-s   =   42
  number of g-s   =  506



 total number of errors encountered =  0
rc= 0
** odepack/dlsode.f

 demonstration program for dlsode package


 problem 1:  van der pol oscillator:
  xdotdot - 3*(1 - x**2)*xdot + x = 0,    x(0) = 2, xdot(0) = 0
 neq = 2
 itol =  1   rtol =  0.0e+000   atol =  1.0e-006





 solution with mf = 10

     t               x               xdot       nq      h


   1.39284e+000    1.68010e+000   -2.911e-001    3    1.229e-001
   3.60761e+000   -7.79864e-005   -3.169e+000    5    2.171e-002
   5.82239e+000   -1.68009e+000    2.911e-001    3    4.753e-002
   8.03716e+000    1.16694e-004    3.169e+000    5    2.342e-002


 final statistics for this run:
 rwork size =  52   iwork size =  20
 number of steps =  297
 number of f-s   =  352
 (excluding j-s) =  352
 number of j-s   =    0
 error overrun = 1.17e+002



 solution with mf = 11

     t               x               xdot       nq      h


   1.39284e+000    1.68010e+000   -2.911e-001    5    1.205e-001
   3.60761e+000   -1.77321e-005   -3.169e+000    5    1.872e-002
   5.82239e+000   -1.68010e+000    2.911e-001    6    9.633e-002
   8.03716e+000    2.58940e-005    3.169e+000    5    1.899e-002


 final statistics for this run:
 rwork size =  58   iwork size =  22
 number of steps =  203
 number of f-s   =  281
 (excluding j-s) =  281
 number of j-s   =   29
 error overrun = 2.59e+001



 solution with mf = 12

     t               x               xdot       nq      h


   1.39284e+000    1.68010e+000   -2.911e-001    5    1.205e-001
   3.60761e+000   -1.77321e-005   -3.169e+000    5    1.872e-002
   5.82239e+000   -1.68010e+000    2.911e-001    6    9.633e-002
   8.03716e+000    2.58939e-005    3.169e+000    5    1.899e-002


 final statistics for this run:
 rwork size =  58   iwork size =  22
 number of steps =  203
 number of f-s   =  339
 (excluding j-s) =  281
 number of j-s   =   29
 error overrun = 2.59e+001



 solution with mf = 13

     t               x               xdot       nq      h


   1.39284e+000    1.68010e+000   -2.911e-001    5    7.386e-002
   3.60761e+000    3.44007e-005   -3.169e+000    6    2.605e-002
   5.82239e+000   -1.68011e+000    2.911e-001    4    1.328e-001
   8.03716e+000   -5.91814e-005    3.169e+000    5    2.045e-002


 final statistics for this run:
 rwork size =  56   iwork size =  20
 number of steps =  198
 number of f-s   =  315
 (excluding j-s) =  289
 number of j-s   =   26
 error overrun = 5.92e+001



 solution with mf = 20

     t               x               xdot       nq      h


   1.39284e+000    1.68010e+000   -2.911e-001    5    5.490e-002
   3.60761e+000   -5.65788e-005   -3.169e+000    5    1.429e-002
   5.82239e+000   -1.68010e+000    2.911e-001    4    5.829e-002
   8.03716e+000    1.03869e-004    3.169e+000    5    1.488e-002


 final statistics for this run:
 rwork size =  38   iwork size =  20
 number of steps =  289
 number of f-s   =  321
 (excluding j-s) =  321
 number of j-s   =    0
 error overrun = 1.04e+002



 solution with mf = 21

     t               x               xdot       nq      h


   1.39284e+000    1.68010e+000   -2.911e-001    5    6.762e-002
   3.60761e+000   -4.89765e-005   -3.169e+000    5    1.413e-002
   5.82239e+000   -1.68010e+000    2.911e-001    5    1.256e-001
   8.03716e+000    9.68674e-005    3.169e+000    5    1.420e-002


 final statistics for this run:
 rwork size =  44   iwork size =  22
 number of steps =  262
 number of f-s   =  345
 (excluding j-s) =  345
 number of j-s   =   30
 error overrun = 9.69e+001



 solution with mf = 22

     t               x               xdot       nq      h


   1.39284e+000    1.68010e+000   -2.911e-001    5    6.762e-002
   3.60761e+000   -4.89765e-005   -3.169e+000    5    1.413e-002
   5.82239e+000   -1.68010e+000    2.911e-001    5    1.256e-001
   8.03716e+000    9.68674e-005    3.169e+000    5    1.420e-002


 final statistics for this run:
 rwork size =  44   iwork size =  22
 number of steps =  262
 number of f-s   =  405
 (excluding j-s) =  345
 number of j-s   =   30
 error overrun = 9.69e+001



 solution with mf = 23

     t               x               xdot       nq      h


   1.39284e+000    1.68010e+000   -2.911e-001    5    7.089e-002
   3.60761e+000   -4.67048e-005   -3.169e+000    5    1.390e-002
   5.82239e+000   -1.68010e+000    2.911e-001    3    7.192e-002
   8.03716e+000    5.47001e-005    3.169e+000    5    1.538e-002


 final statistics for this run:
 rwork size =  42   iwork size =  20
 number of steps =  271
 number of f-s   =  414
 (excluding j-s) =  383
 number of j-s   =   31
 error overrun = 5.47e+001



----------------------------------------------------------------------


 problem 2: ydot = a * y , where  a is a banded lower triangular matrix
            derived from 2-d advection pde
 neq = 25   ml = 5   mu = 0
 itol =  1   rtol =  0.0e+000   atol =  1.0e-006





 solution with mf = 10

     t             max.err.     nq      h


   1.00000e-002    5.563e-007    2    7.660e-003
   1.00000e-001    6.550e-006    3    2.494e-002
   1.00000e+000    2.744e-006    4    5.198e-002
   1.00000e+001    1.143e-006    3    1.169e-001
   1.00000e+002    2.215e-006    2    2.615e-001


 final statistics for this run:
 rwork size = 420   iwork size =  20
 number of steps =  524
 number of f-s   =  552
 (excluding j-s) =  552
 number of j-s   =    0
 error overrun = 6.55e+000



 solution with mf = 13

     t             max.err.     nq      h


   1.00000e-002    8.390e-007    2    9.493e-003
   1.00000e-001    2.075e-006    3    2.497e-002
   1.00000e+000    1.268e-004    3    1.677e-002
   1.00000e+001    2.040e-006    3    1.012e-001
   1.00000e+002    6.659e-010    1    6.053e+001


 final statistics for this run:
 rwork size = 447   iwork size =  20
 number of steps =  133
 number of f-s   =  247
 (excluding j-s) =  210
 number of j-s   =   37
 error overrun = 1.27e+002



 solution with mf = 14

     t             max.err.     nq      h


   1.00000e-002    8.772e-007    2    9.648e-003
   1.00000e-001    2.064e-006    3    2.497e-002
   1.00000e+000    1.263e-006    5    9.348e-002
   1.00000e+001    3.108e-007    6    4.423e-001
   1.00000e+002    1.594e-008    2    2.909e+001


 final statistics for this run:
 rwork size = 697   iwork size =  45
 number of steps =   92
 number of f-s   =  113
 (excluding j-s) =  113
 number of j-s   =   18
 error overrun = 2.06e+000



 solution with mf = 15

     t             max.err.     nq      h


   1.00000e-002    8.771e-007    2    9.648e-003
   1.00000e-001    2.064e-006    3    2.497e-002
   1.00000e+000    1.263e-006    5    9.348e-002
   1.00000e+001    3.108e-007    6    4.423e-001
   1.00000e+002    1.596e-008    2    2.909e+001


 final statistics for this run:
 rwork size = 697   iwork size =  45
 number of steps =   92
 number of f-s   =  221
 (excluding j-s) =  113
 number of j-s   =   18
 error overrun = 2.06e+000



 solution with mf = 20

     t             max.err.     nq      h


   1.00000e-002    4.648e-007    2    4.827e-003
   1.00000e-001    1.307e-006    3    1.477e-002
   1.00000e+000    4.267e-006    5    6.347e-002
   1.00000e+001    1.921e-006    4    3.514e-001
   1.00000e+002    1.191e-007    1    1.546e-001


 final statistics for this run:
 rwork size = 245   iwork size =  20
 number of steps =  329
 number of f-s   =  528
 (excluding j-s) =  528
 number of j-s   =    0
 error overrun = 4.27e+000



 solution with mf = 23

     t             max.err.     nq      h


   1.00000e-002    1.006e-006    2    5.983e-003
   1.00000e-001    4.456e-007    3    1.459e-002
   1.00000e+000    1.527e-006    5    7.378e-002
   1.00000e+001    6.266e-007    4    2.960e-001
   1.00000e+002    3.483e-010    1    2.510e+001


 final statistics for this run:
 rwork size = 272   iwork size =  20
 number of steps =  178
 number of f-s   =  308
 (excluding j-s) =  263
 number of j-s   =   45
 error overrun = 1.53e+000



 solution with mf = 24

     t             max.err.     nq      h


   1.00000e-002    1.039e-006    2    6.081e-003
   1.00000e-001    4.632e-007    3    1.459e-002
   1.00000e+000    2.475e-006    5    6.658e-002
   1.00000e+001    8.280e-007    5    3.912e-001
   1.00000e+002    3.843e-010    1    1.084e+002


 final statistics for this run:
 rwork size = 522   iwork size =  45
 number of steps =  118
 number of f-s   =  136
 (excluding j-s) =  136
 number of j-s   =   18
 error overrun = 2.47e+000



 solution with mf = 25

     t             max.err.     nq      h


   1.00000e-002    1.039e-006    2    6.081e-003
   1.00000e-001    4.632e-007    3    1.459e-002
   1.00000e+000    2.475e-006    5    6.658e-002
   1.00000e+001    8.280e-007    5    3.912e-001
   1.00000e+002    3.843e-010    1    1.084e+002


 final statistics for this run:
 rwork size = 522   iwork size =  45
 number of steps =  118
 number of f-s   =  244
 (excluding j-s) =  136
 number of j-s   =   18
 error overrun = 2.47e+000




 number of errors encountered =  0
rc= 0
** odepack/dlsodes.f

demonstration problem for the dlsodes package


 neq =   9     t0 = 0.0     rtol =  0.000e+000     atol =  1.000e-005

 initial y vector =    1.0  2.0  3.0  4.0  5.0  6.0  7.0  8.0  9.0


********************************************************************************


run with mf =  10.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  42   hu =  2.410e-002   nqu =  4    max. err. = 3.913e-006
  y array =      6.687298e-001  9.901881e-001  7.603078e-001  8.077987e-001
  1.170230e+000  8.810614e-001  5.013319e-001  7.201421e-001  5.379618e-001
at t =  2.0   nst =  71   hu =  6.802e-002   nqu =  3    max. err. = 2.735e-005
  y array =      1.340468e-001  1.917173e-001  1.374069e-001  1.008022e-001
  1.438077e-001  1.028200e-001  3.846231e-002  5.480328e-002  3.913610e-002
at t =  3.0   nst =  90   hu =  4.553e-002   nqu =  3    max. err. = 1.207e-005
  y array =      1.930081e-002  2.735676e-002  1.940590e-002  1.056626e-002
  1.497960e-002  1.061584e-002  2.918034e-003  4.134890e-003  2.930477e-003

final statistics for this run:
 rwork size = 164   iwork size =  30
 number of steps =   90
 number of f-s   =   98
 (excluding j-s) =   98
 number of j-s   =    0
 error overrun = 2.73e+000


run with mf =  10.     input work lengths lrw, liw =   164    30

at t =  1.0   nst =  42   hu =  2.410e-002   nqu =  4    max. err. = 3.913e-006
  y array =      6.687298e-001  9.901881e-001  7.603078e-001  8.077987e-001
  1.170230e+000  8.810614e-001  5.013319e-001  7.201421e-001  5.379618e-001


********************************************************************************


run with mf =  11.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  27   hu =  8.617e-002   nqu =  5    max. err. = 9.885e-006
  y array =      6.687270e-001  9.901904e-001  7.603069e-001  8.077962e-001
  1.170220e+000  8.810604e-001  5.013390e-001  7.201386e-001  5.379743e-001
at t =  2.0   nst =  37   hu =  1.153e-001   nqu =  5    max. err. = 5.932e-006
  y array =      1.340466e-001  1.917129e-001  1.374029e-001  1.007885e-001
  1.437872e-001  1.028031e-001  3.844766e-002  5.478186e-002  3.911991e-002
at t =  3.0   nst =  44   hu =  1.549e-001   nqu =  5    max. err. = 3.858e-006
  y array =      1.929197e-002  2.735519e-002  1.939699e-002  1.056239e-002
  1.497139e-002  1.061198e-002  2.916091e-003  4.132470e-003  2.928570e-003

final statistics for this run:
 rwork size = 308   iwork size =  67
 number of steps =   44
 number of f-s   =   56
 (excluding j-s) =   56
 number of j-s   =    1
 error overrun = 9.88e-001
 number of nonzeros in j =    27
 number of j index groups =    0
 number of lu decomp-s    =    9
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf =  11.     input work lengths lrw, liw =   308    67

at t =  1.0   nst =  27   hu =  8.617e-002   nqu =  5    max. err. = 9.885e-006
  y array =      6.687270e-001  9.901904e-001  7.603069e-001  8.077962e-001
  1.170220e+000  8.810604e-001  5.013390e-001  7.201386e-001  5.379743e-001


********************************************************************************


run with mf =  12.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  27   hu =  8.617e-002   nqu =  5    max. err. = 9.885e-006
  y array =      6.687270e-001  9.901904e-001  7.603069e-001  8.077962e-001
  1.170220e+000  8.810604e-001  5.013390e-001  7.201386e-001  5.379743e-001
at t =  2.0   nst =  37   hu =  1.153e-001   nqu =  5    max. err. = 5.932e-006
  y array =      1.340466e-001  1.917129e-001  1.374029e-001  1.007885e-001
  1.437872e-001  1.028031e-001  3.844766e-002  5.478186e-002  3.911991e-002
at t =  3.0   nst =  44   hu =  1.549e-001   nqu =  5    max. err. = 3.858e-006
  y array =      1.929197e-002  2.735519e-002  1.939699e-002  1.056239e-002
  1.497139e-002  1.061198e-002  2.916091e-003  4.132470e-003  2.928570e-003

final statistics for this run:
 rwork size = 315   iwork size =  67
 number of steps =   44
 number of f-s   =   60
 (excluding j-s) =   56
 number of j-s   =    1
 error overrun = 9.88e-001
 number of nonzeros in j =    27
 number of j index groups =    4
 number of lu decomp-s    =    9
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf =  12.     input work lengths lrw, liw =   315    67

at t =  1.0   nst =  27   hu =  8.617e-002   nqu =  5    max. err. = 9.885e-006
  y array =      6.687270e-001  9.901904e-001  7.603069e-001  8.077962e-001
  1.170220e+000  8.810604e-001  5.013390e-001  7.201386e-001  5.379743e-001


********************************************************************************


run with mf =  13.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  28   hu =  8.251e-002   nqu =  5    max. err. = 5.911e-006
  y array =      6.687292e-001  9.901925e-001  7.603039e-001  8.077970e-001
  1.170222e+000  8.810605e-001  5.013339e-001  7.201356e-001  5.379703e-001
at t =  2.0   nst =  41   hu =  8.251e-002   nqu =  5    max. err. = 4.679e-006
  y array =      1.340480e-001  1.917135e-001  1.374045e-001  1.007835e-001
  1.437822e-001  1.027977e-001  3.844668e-002  5.477525e-002  3.911287e-002
at t =  3.0   nst =  58   hu =  5.361e-002   nqu =  4    max. err. = 8.007e-005
  y array =      1.930205e-002  2.735727e-002  1.947618e-002  1.056173e-002
  1.496692e-002  1.065667e-002  2.913023e-003  4.128180e-003  2.925284e-003

final statistics for this run:
 rwork size = 175   iwork size =  30
 number of steps =   58
 number of f-s   =   90
 (excluding j-s) =   80
 number of j-s   =   10
 error overrun = 8.01e+000


run with mf =  13.     input work lengths lrw, liw =   175    30

at t =  1.0   nst =  28   hu =  8.251e-002   nqu =  5    max. err. = 5.911e-006
  y array =      6.687292e-001  9.901925e-001  7.603039e-001  8.077970e-001
  1.170222e+000  8.810605e-001  5.013339e-001  7.201356e-001  5.379703e-001


********************************************************************************


run with mf =  20.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  39   hu =  5.488e-002   nqu =  5    max. err. = 3.780e-005
  y array =      6.687263e-001  9.901935e-001  7.603094e-001  8.077908e-001
  1.170205e+000  8.810563e-001  5.013557e-001  7.201243e-001  5.380022e-001
at t =  2.0   nst =  53   hu =  6.771e-002   nqu =  5    max. err. = 1.132e-005
  y array =      1.340393e-001  1.917191e-001  1.373966e-001  1.007921e-001
  1.437785e-001  1.028081e-001  3.844853e-002  5.478725e-002  3.912216e-002
at t =  3.0   nst =  64   hu =  1.228e-001   nqu =  5    max. err. = 8.693e-006
  y array =      1.929445e-002  2.735177e-002  1.939986e-002  1.056336e-002
  1.497622e-002  1.061323e-002  2.918074e-003  4.135065e-003  2.930540e-003

final statistics for this run:
 rwork size = 101   iwork size =  30
 number of steps =   64
 number of f-s   =   77
 (excluding j-s) =   77
 number of j-s   =    0
 error overrun = 3.78e+000


run with mf =  20.     input work lengths lrw, liw =   101    30

at t =  1.0   nst =  39   hu =  5.488e-002   nqu =  5    max. err. = 3.780e-005
  y array =      6.687263e-001  9.901935e-001  7.603094e-001  8.077908e-001
  1.170205e+000  8.810563e-001  5.013557e-001  7.201243e-001  5.380022e-001


********************************************************************************


run with mf =  21.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  38   hu =  5.729e-002   nqu =  5    max. err. = 2.537e-005
  y array =      6.687262e-001  9.901909e-001  7.603081e-001  8.077929e-001
  1.170210e+000  8.810587e-001  5.013480e-001  7.201334e-001  5.379898e-001
at t =  2.0   nst =  52   hu =  1.046e-001   nqu =  5    max. err. = 1.323e-005
  y array =      1.340436e-001  1.917089e-001  1.374021e-001  1.007880e-001
  1.437858e-001  1.028051e-001  3.845315e-002  5.478904e-002  3.912758e-002
at t =  3.0   nst =  61   hu =  1.316e-001   nqu =  5    max. err. = 1.335e-005
  y array =      1.929074e-002  2.735425e-002  1.939769e-002  1.056724e-002
  1.497881e-002  1.061856e-002  2.922796e-003  4.142330e-003  2.936188e-003

final statistics for this run:
 rwork size = 245   iwork size =  67
 number of steps =   61
 number of f-s   =   71
 (excluding j-s) =   71
 number of j-s   =    2
 error overrun = 2.54e+000
 number of nonzeros in j =    27
 number of j index groups =    0
 number of lu decomp-s    =    8
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf =  21.     input work lengths lrw, liw =   245    67

at t =  1.0   nst =  38   hu =  5.729e-002   nqu =  5    max. err. = 2.537e-005
  y array =      6.687262e-001  9.901909e-001  7.603081e-001  8.077929e-001
  1.170210e+000  8.810587e-001  5.013480e-001  7.201334e-001  5.379898e-001


********************************************************************************


run with mf =  22.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  38   hu =  5.729e-002   nqu =  5    max. err. = 2.537e-005
  y array =      6.687262e-001  9.901909e-001  7.603081e-001  8.077929e-001
  1.170210e+000  8.810587e-001  5.013480e-001  7.201334e-001  5.379898e-001
at t =  2.0   nst =  52   hu =  1.046e-001   nqu =  5    max. err. = 1.323e-005
  y array =      1.340436e-001  1.917089e-001  1.374021e-001  1.007880e-001
  1.437858e-001  1.028051e-001  3.845315e-002  5.478904e-002  3.912758e-002
at t =  3.0   nst =  61   hu =  1.316e-001   nqu =  5    max. err. = 1.335e-005
  y array =      1.929074e-002  2.735425e-002  1.939769e-002  1.056724e-002
  1.497881e-002  1.061856e-002  2.922796e-003  4.142330e-003  2.936188e-003

final statistics for this run:
 rwork size = 252   iwork size =  67
 number of steps =   61
 number of f-s   =   79
 (excluding j-s) =   71
 number of j-s   =    2
 error overrun = 2.54e+000
 number of nonzeros in j =    27
 number of j index groups =    4
 number of lu decomp-s    =    8
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf =  22.     input work lengths lrw, liw =   252    67

at t =  1.0   nst =  38   hu =  5.729e-002   nqu =  5    max. err. = 2.537e-005
  y array =      6.687262e-001  9.901909e-001  7.603081e-001  8.077929e-001
  1.170210e+000  8.810587e-001  5.013480e-001  7.201334e-001  5.379898e-001


********************************************************************************


run with mf =  23.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  39   hu =  5.642e-002   nqu =  5    max. err. = 3.344e-005
  y array =      6.687269e-001  9.901907e-001  7.603066e-001  8.077928e-001
  1.170193e+000  8.810548e-001  5.013390e-001  7.201290e-001  5.379773e-001
at t =  2.0   nst =  53   hu =  7.202e-002   nqu =  5    max. err. = 2.677e-005
  y array =      1.340564e-001  1.917127e-001  1.374015e-001  1.007854e-001
  1.437811e-001  1.027985e-001  3.844373e-002  5.480270e-002  3.911608e-002
at t =  3.0   nst =  80   hu =  2.002e-002   nqu =  4    max. err. = 4.896e-005
  y array =      1.929182e-002  2.734306e-002  1.940098e-002  1.056278e-002
  1.496520e-002  1.060287e-002  2.906778e-003  4.122709e-003  2.974936e-003

final statistics for this run:
 rwork size = 112   iwork size =  30
 number of steps =   80
 number of f-s   =  137
 (excluding j-s) =  122
 number of j-s   =   15
 error overrun = 4.90e+000


run with mf =  23.     input work lengths lrw, liw =   112    30

at t =  1.0   nst =  39   hu =  5.642e-002   nqu =  5    max. err. = 3.344e-005
  y array =      6.687269e-001  9.901907e-001  7.603066e-001  8.077928e-001
  1.170193e+000  8.810548e-001  5.013390e-001  7.201290e-001  5.379773e-001


********************************************************************************


run with mf = 111.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  27   hu =  8.617e-002   nqu =  5    max. err. = 9.885e-006
  y array =      6.687270e-001  9.901904e-001  7.603069e-001  8.077962e-001
  1.170220e+000  8.810604e-001  5.013390e-001  7.201386e-001  5.379743e-001
at t =  2.0   nst =  37   hu =  1.153e-001   nqu =  5    max. err. = 5.932e-006
  y array =      1.340466e-001  1.917129e-001  1.374029e-001  1.007885e-001
  1.437872e-001  1.028031e-001  3.844766e-002  5.478186e-002  3.911991e-002
at t =  3.0   nst =  44   hu =  1.549e-001   nqu =  5    max. err. = 3.858e-006
  y array =      1.929197e-002  2.735519e-002  1.939699e-002  1.056239e-002
  1.497139e-002  1.061198e-002  2.916091e-003  4.132470e-003  2.928570e-003

final statistics for this run:
 rwork size = 308   iwork size =  30
 number of steps =   44
 number of f-s   =   56
 (excluding j-s) =   56
 number of j-s   =    1
 error overrun = 9.88e-001
 number of nonzeros in j =    27
 number of j index groups =    0
 number of lu decomp-s    =    9
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf = 111.     input work lengths lrw, liw =   308    30

at t =  1.0   nst =  27   hu =  8.617e-002   nqu =  5    max. err. = 9.885e-006
  y array =      6.687270e-001  9.901904e-001  7.603069e-001  8.077962e-001
  1.170220e+000  8.810604e-001  5.013390e-001  7.201386e-001  5.379743e-001


********************************************************************************


run with mf = 112.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  27   hu =  8.617e-002   nqu =  5    max. err. = 9.885e-006
  y array =      6.687270e-001  9.901904e-001  7.603069e-001  8.077962e-001
  1.170220e+000  8.810604e-001  5.013390e-001  7.201386e-001  5.379743e-001
at t =  2.0   nst =  37   hu =  1.153e-001   nqu =  5    max. err. = 5.932e-006
  y array =      1.340466e-001  1.917129e-001  1.374029e-001  1.007885e-001
  1.437872e-001  1.028031e-001  3.844766e-002  5.478186e-002  3.911991e-002
at t =  3.0   nst =  44   hu =  1.549e-001   nqu =  5    max. err. = 3.858e-006
  y array =      1.929197e-002  2.735519e-002  1.939699e-002  1.056239e-002
  1.497139e-002  1.061198e-002  2.916091e-003  4.132470e-003  2.928570e-003

final statistics for this run:
 rwork size = 315   iwork size =  30
 number of steps =   44
 number of f-s   =   60
 (excluding j-s) =   56
 number of j-s   =    1
 error overrun = 9.88e-001
 number of nonzeros in j =    27
 number of j index groups =    4
 number of lu decomp-s    =    9
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf = 112.     input work lengths lrw, liw =   315    30

at t =  1.0   nst =  27   hu =  8.617e-002   nqu =  5    max. err. = 9.885e-006
  y array =      6.687270e-001  9.901904e-001  7.603069e-001  8.077962e-001
  1.170220e+000  8.810604e-001  5.013390e-001  7.201386e-001  5.379743e-001


********************************************************************************


run with mf = 121.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  38   hu =  5.729e-002   nqu =  5    max. err. = 2.537e-005
  y array =      6.687262e-001  9.901909e-001  7.603081e-001  8.077929e-001
  1.170210e+000  8.810587e-001  5.013480e-001  7.201334e-001  5.379898e-001
at t =  2.0   nst =  52   hu =  1.046e-001   nqu =  5    max. err. = 1.323e-005
  y array =      1.340436e-001  1.917089e-001  1.374021e-001  1.007880e-001
  1.437858e-001  1.028051e-001  3.845315e-002  5.478904e-002  3.912758e-002
at t =  3.0   nst =  61   hu =  1.316e-001   nqu =  5    max. err. = 1.335e-005
  y array =      1.929074e-002  2.735425e-002  1.939769e-002  1.056724e-002
  1.497881e-002  1.061856e-002  2.922796e-003  4.142330e-003  2.936188e-003

final statistics for this run:
 rwork size = 245   iwork size =  30
 number of steps =   61
 number of f-s   =   71
 (excluding j-s) =   71
 number of j-s   =    2
 error overrun = 2.54e+000
 number of nonzeros in j =    27
 number of j index groups =    0
 number of lu decomp-s    =    8
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf = 121.     input work lengths lrw, liw =   245    30

at t =  1.0   nst =  38   hu =  5.729e-002   nqu =  5    max. err. = 2.537e-005
  y array =      6.687262e-001  9.901909e-001  7.603081e-001  8.077929e-001
  1.170210e+000  8.810587e-001  5.013480e-001  7.201334e-001  5.379898e-001


********************************************************************************


run with mf = 122.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  38   hu =  5.729e-002   nqu =  5    max. err. = 2.537e-005
  y array =      6.687262e-001  9.901909e-001  7.603081e-001  8.077929e-001
  1.170210e+000  8.810587e-001  5.013480e-001  7.201334e-001  5.379898e-001
at t =  2.0   nst =  52   hu =  1.046e-001   nqu =  5    max. err. = 1.323e-005
  y array =      1.340436e-001  1.917089e-001  1.374021e-001  1.007880e-001
  1.437858e-001  1.028051e-001  3.845315e-002  5.478904e-002  3.912758e-002
at t =  3.0   nst =  61   hu =  1.316e-001   nqu =  5    max. err. = 1.335e-005
  y array =      1.929074e-002  2.735425e-002  1.939769e-002  1.056724e-002
  1.497881e-002  1.061856e-002  2.922796e-003  4.142330e-003  2.936188e-003

final statistics for this run:
 rwork size = 252   iwork size =  30
 number of steps =   61
 number of f-s   =   79
 (excluding j-s) =   71
 number of j-s   =    2
 error overrun = 2.54e+000
 number of nonzeros in j =    27
 number of j index groups =    4
 number of lu decomp-s    =    8
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf = 122.     input work lengths lrw, liw =   252    30

at t =  1.0   nst =  38   hu =  5.729e-002   nqu =  5    max. err. = 2.537e-005
  y array =      6.687262e-001  9.901909e-001  7.603081e-001  8.077929e-001
  1.170210e+000  8.810587e-001  5.013480e-001  7.201334e-001  5.379898e-001


********************************************************************************


run with mf = 211.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  27   hu =  8.617e-002   nqu =  5    max. err. = 9.885e-006
  y array =      6.687270e-001  9.901904e-001  7.603069e-001  8.077962e-001
  1.170220e+000  8.810604e-001  5.013390e-001  7.201386e-001  5.379743e-001
at t =  2.0   nst =  37   hu =  1.153e-001   nqu =  5    max. err. = 5.932e-006
  y array =      1.340466e-001  1.917129e-001  1.374029e-001  1.007885e-001
  1.437872e-001  1.028031e-001  3.844766e-002  5.478186e-002  3.911991e-002
at t =  3.0   nst =  44   hu =  1.549e-001   nqu =  5    max. err. = 3.858e-006
  y array =      1.929197e-002  2.735519e-002  1.939699e-002  1.056239e-002
  1.497139e-002  1.061198e-002  2.916091e-003  4.132470e-003  2.928570e-003

final statistics for this run:
 rwork size = 308   iwork size =  30
 number of steps =   44
 number of f-s   =   56
 (excluding j-s) =   56
 number of j-s   =    1
 error overrun = 9.88e-001
 number of nonzeros in j =    27
 number of j index groups =    0
 number of lu decomp-s    =    9
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf = 211.     input work lengths lrw, liw =   308    30

at t =  1.0   nst =  27   hu =  8.617e-002   nqu =  5    max. err. = 9.885e-006
  y array =      6.687270e-001  9.901904e-001  7.603069e-001  8.077962e-001
  1.170220e+000  8.810604e-001  5.013390e-001  7.201386e-001  5.379743e-001


********************************************************************************


run with mf = 212.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  27   hu =  8.617e-002   nqu =  5    max. err. = 9.885e-006
  y array =      6.687270e-001  9.901904e-001  7.603069e-001  8.077962e-001
  1.170220e+000  8.810604e-001  5.013390e-001  7.201386e-001  5.379743e-001
at t =  2.0   nst =  37   hu =  1.153e-001   nqu =  5    max. err. = 5.932e-006
  y array =      1.340466e-001  1.917129e-001  1.374029e-001  1.007885e-001
  1.437872e-001  1.028031e-001  3.844766e-002  5.478186e-002  3.911991e-002
at t =  3.0   nst =  44   hu =  1.549e-001   nqu =  5    max. err. = 3.858e-006
  y array =      1.929197e-002  2.735519e-002  1.939699e-002  1.056239e-002
  1.497139e-002  1.061198e-002  2.916091e-003  4.132470e-003  2.928570e-003

final statistics for this run:
 rwork size = 315   iwork size =  30
 number of steps =   44
 number of f-s   =   60
 (excluding j-s) =   56
 number of j-s   =    1
 error overrun = 9.88e-001
 number of nonzeros in j =    27
 number of j index groups =    4
 number of lu decomp-s    =    9
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf = 212.     input work lengths lrw, liw =   315    30

at t =  1.0   nst =  27   hu =  8.617e-002   nqu =  5    max. err. = 9.885e-006
  y array =      6.687270e-001  9.901904e-001  7.603069e-001  8.077962e-001
  1.170220e+000  8.810604e-001  5.013390e-001  7.201386e-001  5.379743e-001


********************************************************************************


run with mf = 221.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  38   hu =  5.729e-002   nqu =  5    max. err. = 2.537e-005
  y array =      6.687262e-001  9.901909e-001  7.603081e-001  8.077929e-001
  1.170210e+000  8.810587e-001  5.013480e-001  7.201334e-001  5.379898e-001
at t =  2.0   nst =  52   hu =  1.046e-001   nqu =  5    max. err. = 1.323e-005
  y array =      1.340436e-001  1.917089e-001  1.374021e-001  1.007880e-001
  1.437858e-001  1.028051e-001  3.845315e-002  5.478904e-002  3.912758e-002
at t =  3.0   nst =  61   hu =  1.316e-001   nqu =  5    max. err. = 1.335e-005
  y array =      1.929074e-002  2.735425e-002  1.939769e-002  1.056724e-002
  1.497881e-002  1.061856e-002  2.922796e-003  4.142330e-003  2.936188e-003

final statistics for this run:
 rwork size = 245   iwork size =  30
 number of steps =   61
 number of f-s   =   71
 (excluding j-s) =   71
 number of j-s   =    2
 error overrun = 2.54e+000
 number of nonzeros in j =    27
 number of j index groups =    0
 number of lu decomp-s    =    8
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf = 221.     input work lengths lrw, liw =   245    30

at t =  1.0   nst =  38   hu =  5.729e-002   nqu =  5    max. err. = 2.537e-005
  y array =      6.687262e-001  9.901909e-001  7.603081e-001  8.077929e-001
  1.170210e+000  8.810587e-001  5.013480e-001  7.201334e-001  5.379898e-001


********************************************************************************


run with mf = 222.     input work lengths lrw, liw =  1000    90

at t =  1.0   nst =  38   hu =  5.729e-002   nqu =  5    max. err. = 2.537e-005
  y array =      6.687262e-001  9.901909e-001  7.603081e-001  8.077929e-001
  1.170210e+000  8.810587e-001  5.013480e-001  7.201334e-001  5.379898e-001
at t =  2.0   nst =  52   hu =  1.046e-001   nqu =  5    max. err. = 1.323e-005
  y array =      1.340436e-001  1.917089e-001  1.374021e-001  1.007880e-001
  1.437858e-001  1.028051e-001  3.845315e-002  5.478904e-002  3.912758e-002
at t =  3.0   nst =  61   hu =  1.316e-001   nqu =  5    max. err. = 1.335e-005
  y array =      1.929074e-002  2.735425e-002  1.939769e-002  1.056724e-002
  1.497881e-002  1.061856e-002  2.922796e-003  4.142330e-003  2.936188e-003

final statistics for this run:
 rwork size = 252   iwork size =  30
 number of steps =   61
 number of f-s   =   79
 (excluding j-s) =   71
 number of j-s   =    2
 error overrun = 2.54e+000
 number of nonzeros in j =    27
 number of j index groups =    4
 number of lu decomp-s    =    8
 nonzeros in strict lower factor =    8
 nonzeros in strict upper factor =   14

 structure descriptor array ian =
   1   3   6   8  11  15  18  21  25  28

 structure descriptor array jan =
   1   2   3   1   2   3   2   1   5   4   2   6   5   4   3   6   5   7   4   8

 structure descriptor array jan =
   9   7   5   8   9   6   8


run with mf = 222.     input work lengths lrw, liw =   252    30

at t =  1.0   nst =  38   hu =  5.729e-002   nqu =  5    max. err. = 2.537e-005
  y array =      6.687262e-001  9.901909e-001  7.603081e-001  8.077929e-001
  1.170210e+000  8.810587e-001  5.013480e-001  7.201334e-001  5.379898e-001


********************************************************************************


number of errors encountered =  0
rc= 0
** odepack/dlsodis.f
                     demonstration program for dlsodis


          -- simplified galerkin solution of burgers equation --


             diffusion coefficient is eta = 5.00e-002
             uniform mesh on interval -1.000e+000 to   1.000e+000
             periodic boundary conditions
             initial data are as follows:

                    t0 = 0.00000e+000
                    tlast = 4.00000e-001
                    n  =  12



initial profile:
 0.0000e+000 0.0000e+000 0.0000e+000 5.0000e-001 1.0000e+000 1.0000e+000
 1.0000e+000 1.0000e+000 1.0000e+000 5.0000e-001 0.0000e+000 0.0000e+000

initial sparse data structures

 ia     1   4   7  10  13  16  19  22  25  28  31  34  37
 ja    12   1   2   1   2   3   2   3   4   3   4   5   4   5   6
        5   6   7   6   7   8   7   8   9   8   9  10   9  10  11
       10  11  12  11  12   1
 ic     1   4   7  10  13  16  19  22  25  28  31  34  37
 jc    12   1   2   1   2   3   2   3   4   3   4   5   4   5   6
        5   6   7   6   7   8   7   8   9   8   9  10   9  10  11
       10  11  12  11  12   1



*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf =  11


 output for time t =1.00000e-001  current h =4.91763e-002  current order = 2
-1.4627e-003-3.8326e-003 7.8444e-002 3.8122e-001 7.6707e-001 9.7283e-001
 1.0053e+000 1.0006e+000 9.9726e-001 6.5909e-001 1.5342e-001-9.8594e-003

 output for time t =2.00000e-001  current h =4.91763e-002  current order = 2
-8.4157e-003 1.1001e-002 1.0572e-001 3.2734e-001 6.1816e-001 8.5987e-001
 9.7827e-001 1.0019e+000 1.0018e+000 7.7560e-001 3.0445e-001 2.4266e-002

 output for time t =3.00000e-001  current h =8.28140e-002  current order = 2
-3.6931e-003 2.3228e-002 1.1735e-001 2.9414e-001 5.2365e-001 7.4782e-001
 9.0941e-001 9.8299e-001 1.0035e+000 8.6224e-001 4.4976e-001 8.9586e-002

 output for time t =4.00000e-001  current h =8.28140e-002  current order = 2
 1.6199e-002 3.2670e-002 1.2216e-001 2.7041e-001 4.5953e-001 6.5694e-001
 8.2688e-001 9.3782e-001 9.9030e-001 9.2152e-001 5.8493e-001 1.8064e-001


final statistics for mf =  11:    10 steps,    14 res,     4 jacobians,
                     rw size =   421,    iw size =   128
                       0 extra res for each jac,   4 decomps
final output is correct to within 5.98e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf =  12


 output for time t =1.00000e-001  current h =4.91763e-002  current order = 2
-1.4627e-003-3.8326e-003 7.8444e-002 3.8122e-001 7.6707e-001 9.7283e-001
 1.0053e+000 1.0006e+000 9.9726e-001 6.5909e-001 1.5342e-001-9.8594e-003

 output for time t =2.00000e-001  current h =4.91763e-002  current order = 2
-8.4157e-003 1.1001e-002 1.0572e-001 3.2734e-001 6.1816e-001 8.5987e-001
 9.7827e-001 1.0019e+000 1.0018e+000 7.7560e-001 3.0445e-001 2.4266e-002

 output for time t =3.00000e-001  current h =8.28141e-002  current order = 2
-3.6931e-003 2.3228e-002 1.1735e-001 2.9414e-001 5.2365e-001 7.4782e-001
 9.0941e-001 9.8299e-001 1.0035e+000 8.6224e-001 4.4976e-001 8.9586e-002

 output for time t =4.00000e-001  current h =8.28141e-002  current order = 2
 1.6199e-002 3.2670e-002 1.2216e-001 2.7041e-001 4.5953e-001 6.5694e-001
 8.2688e-001 9.3782e-001 9.9030e-001 9.2152e-001 5.8493e-001 1.8064e-001


final statistics for mf =  12:    10 steps,    30 res,     4 jacobians,
                     rw size =   429,    iw size =   128
                       3 extra res for each jac,   4 decomps
final output is correct to within 5.98e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf =  21


 output for time t =1.00000e-001  current h =4.10650e-002  current order = 3
-1.6795e-003-3.5501e-003 7.8147e-002 3.8155e-001 7.6687e-001 9.7258e-001
 1.0058e+000 1.0002e+000 9.9745e-001 6.5898e-001 1.5341e-001-9.7380e-003

 output for time t =2.00000e-001  current h =4.10650e-002  current order = 3
-9.1065e-003 1.1955e-002 1.0442e-001 3.2922e-001 6.1870e-001 8.5648e-001
 9.7954e-001 1.0024e+000 1.0020e+000 7.7523e-001 3.0442e-001 2.4723e-002

 output for time t =3.00000e-001  current h =4.10650e-002  current order = 3
-3.8401e-003 2.3248e-002 1.1677e-001 2.9534e-001 5.2564e-001 7.4566e-001
 9.0707e-001 9.8376e-001 1.0045e+000 8.6211e-001 4.4988e-001 8.9881e-002

 output for time t =4.00000e-001  current h =6.75720e-002  current order = 3
 1.6118e-002 3.2335e-002 1.2184e-001 2.7135e-001 4.6171e-001 6.5676e-001
 8.2354e-001 9.3627e-001 9.9147e-001 9.2224e-001 5.8532e-001 1.8105e-001


final statistics for mf =  21:    13 steps,    18 res,     4 jacobians,
                     rw size =   337,    iw size =   128
                       0 extra res for each jac,   4 decomps
final output is correct to within 4.09e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf =  22


 output for time t =1.00000e-001  current h =4.10649e-002  current order = 3
-1.6795e-003-3.5501e-003 7.8147e-002 3.8155e-001 7.6687e-001 9.7258e-001
 1.0058e+000 1.0002e+000 9.9745e-001 6.5898e-001 1.5341e-001-9.7380e-003

 output for time t =2.00000e-001  current h =4.10649e-002  current order = 3
-9.1065e-003 1.1955e-002 1.0442e-001 3.2922e-001 6.1870e-001 8.5648e-001
 9.7954e-001 1.0024e+000 1.0020e+000 7.7523e-001 3.0442e-001 2.4723e-002

 output for time t =3.00000e-001  current h =4.10649e-002  current order = 3
-3.8401e-003 2.3248e-002 1.1677e-001 2.9534e-001 5.2564e-001 7.4566e-001
 9.0707e-001 9.8376e-001 1.0045e+000 8.6211e-001 4.4988e-001 8.9881e-002

 output for time t =4.00000e-001  current h =6.75719e-002  current order = 3
 1.6118e-002 3.2335e-002 1.2184e-001 2.7135e-001 4.6171e-001 6.5676e-001
 8.2354e-001 9.3627e-001 9.9147e-001 9.2224e-001 5.8532e-001 1.8105e-001


final statistics for mf =  22:    13 steps,    34 res,     4 jacobians,
                     rw size =   345,    iw size =   128
                       3 extra res for each jac,   4 decomps
final output is correct to within 4.09e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf = 111


 output for time t =1.00000e-001  current h =4.91763e-002  current order = 2
-1.4627e-003-3.8326e-003 7.8444e-002 3.8122e-001 7.6707e-001 9.7283e-001
 1.0053e+000 1.0006e+000 9.9726e-001 6.5909e-001 1.5342e-001-9.8594e-003

 output for time t =2.00000e-001  current h =4.91763e-002  current order = 2
-8.4157e-003 1.1001e-002 1.0572e-001 3.2734e-001 6.1816e-001 8.5987e-001
 9.7827e-001 1.0019e+000 1.0018e+000 7.7560e-001 3.0445e-001 2.4266e-002

 output for time t =3.00000e-001  current h =8.28140e-002  current order = 2
-3.6931e-003 2.3228e-002 1.1735e-001 2.9414e-001 5.2365e-001 7.4782e-001
 9.0941e-001 9.8299e-001 1.0035e+000 8.6224e-001 4.4976e-001 8.9586e-002

 output for time t =4.00000e-001  current h =8.28140e-002  current order = 2
 1.6199e-002 3.2670e-002 1.2216e-001 2.7041e-001 4.5953e-001 6.5694e-001
 8.2688e-001 9.3782e-001 9.9030e-001 9.2152e-001 5.8493e-001 1.8064e-001


final statistics for mf = 111:    10 steps,    14 res,     4 jacobians,
                     rw size =   421,    iw size =    30
                       0 extra res for each jac,   4 decomps
final output is correct to within 5.98e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf = 112


 output for time t =1.00000e-001  current h =4.91763e-002  current order = 2
-1.4627e-003-3.8326e-003 7.8444e-002 3.8122e-001 7.6707e-001 9.7283e-001
 1.0053e+000 1.0006e+000 9.9726e-001 6.5909e-001 1.5342e-001-9.8594e-003

 output for time t =2.00000e-001  current h =4.91763e-002  current order = 2
-8.4157e-003 1.1001e-002 1.0572e-001 3.2734e-001 6.1816e-001 8.5987e-001
 9.7827e-001 1.0019e+000 1.0018e+000 7.7560e-001 3.0445e-001 2.4266e-002

 output for time t =3.00000e-001  current h =8.28141e-002  current order = 2
-3.6931e-003 2.3228e-002 1.1735e-001 2.9414e-001 5.2365e-001 7.4782e-001
 9.0941e-001 9.8299e-001 1.0035e+000 8.6224e-001 4.4976e-001 8.9586e-002

 output for time t =4.00000e-001  current h =8.28141e-002  current order = 2
 1.6199e-002 3.2670e-002 1.2216e-001 2.7041e-001 4.5953e-001 6.5694e-001
 8.2688e-001 9.3782e-001 9.9030e-001 9.2152e-001 5.8493e-001 1.8064e-001


final statistics for mf = 112:    10 steps,    30 res,     4 jacobians,
                     rw size =   429,    iw size =    30
                       3 extra res for each jac,   4 decomps
final output is correct to within 5.98e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf = 121


 output for time t =1.00000e-001  current h =4.10650e-002  current order = 3
-1.6795e-003-3.5501e-003 7.8147e-002 3.8155e-001 7.6687e-001 9.7258e-001
 1.0058e+000 1.0002e+000 9.9745e-001 6.5898e-001 1.5341e-001-9.7380e-003

 output for time t =2.00000e-001  current h =4.10650e-002  current order = 3
-9.1065e-003 1.1955e-002 1.0442e-001 3.2922e-001 6.1870e-001 8.5648e-001
 9.7954e-001 1.0024e+000 1.0020e+000 7.7523e-001 3.0442e-001 2.4723e-002

 output for time t =3.00000e-001  current h =4.10650e-002  current order = 3
-3.8401e-003 2.3248e-002 1.1677e-001 2.9534e-001 5.2564e-001 7.4566e-001
 9.0707e-001 9.8376e-001 1.0045e+000 8.6211e-001 4.4988e-001 8.9881e-002

 output for time t =4.00000e-001  current h =6.75720e-002  current order = 3
 1.6118e-002 3.2335e-002 1.2184e-001 2.7135e-001 4.6171e-001 6.5676e-001
 8.2354e-001 9.3627e-001 9.9147e-001 9.2224e-001 5.8532e-001 1.8105e-001


final statistics for mf = 121:    13 steps,    18 res,     4 jacobians,
                     rw size =   337,    iw size =    30
                       0 extra res for each jac,   4 decomps
final output is correct to within 4.09e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf = 122


 output for time t =1.00000e-001  current h =4.10649e-002  current order = 3
-1.6795e-003-3.5501e-003 7.8147e-002 3.8155e-001 7.6687e-001 9.7258e-001
 1.0058e+000 1.0002e+000 9.9745e-001 6.5898e-001 1.5341e-001-9.7380e-003

 output for time t =2.00000e-001  current h =4.10649e-002  current order = 3
-9.1065e-003 1.1955e-002 1.0442e-001 3.2922e-001 6.1870e-001 8.5648e-001
 9.7954e-001 1.0024e+000 1.0020e+000 7.7523e-001 3.0442e-001 2.4723e-002

 output for time t =3.00000e-001  current h =4.10649e-002  current order = 3
-3.8401e-003 2.3248e-002 1.1677e-001 2.9534e-001 5.2564e-001 7.4566e-001
 9.0707e-001 9.8376e-001 1.0045e+000 8.6211e-001 4.4988e-001 8.9881e-002

 output for time t =4.00000e-001  current h =6.75719e-002  current order = 3
 1.6118e-002 3.2335e-002 1.2184e-001 2.7135e-001 4.6171e-001 6.5676e-001
 8.2354e-001 9.3627e-001 9.9147e-001 9.2224e-001 5.8532e-001 1.8105e-001


final statistics for mf = 122:    13 steps,    34 res,     4 jacobians,
                     rw size =   345,    iw size =    30
                       3 extra res for each jac,   4 decomps
final output is correct to within 4.09e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf = 211


 output for time t =1.00000e-001  current h =4.91763e-002  current order = 2
-1.4627e-003-3.8326e-003 7.8444e-002 3.8122e-001 7.6707e-001 9.7283e-001
 1.0053e+000 1.0006e+000 9.9726e-001 6.5909e-001 1.5342e-001-9.8594e-003

 output for time t =2.00000e-001  current h =4.91763e-002  current order = 2
-8.4157e-003 1.1001e-002 1.0572e-001 3.2734e-001 6.1816e-001 8.5987e-001
 9.7827e-001 1.0019e+000 1.0018e+000 7.7560e-001 3.0445e-001 2.4266e-002

 output for time t =3.00000e-001  current h =8.28140e-002  current order = 2
-3.6931e-003 2.3228e-002 1.1735e-001 2.9414e-001 5.2365e-001 7.4782e-001
 9.0941e-001 9.8299e-001 1.0035e+000 8.6224e-001 4.4976e-001 8.9586e-002

 output for time t =4.00000e-001  current h =8.28140e-002  current order = 2
 1.6199e-002 3.2670e-002 1.2216e-001 2.7041e-001 4.5953e-001 6.5694e-001
 8.2688e-001 9.3782e-001 9.9030e-001 9.2152e-001 5.8493e-001 1.8064e-001


final statistics for mf = 211:    10 steps,    14 res,     4 jacobians,
                     rw size =   421,    iw size =    30
                       0 extra res for each jac,   4 decomps
final output is correct to within 5.98e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf = 212


 output for time t =1.00000e-001  current h =4.91763e-002  current order = 2
-1.4627e-003-3.8326e-003 7.8444e-002 3.8122e-001 7.6707e-001 9.7283e-001
 1.0053e+000 1.0006e+000 9.9726e-001 6.5909e-001 1.5342e-001-9.8594e-003

 output for time t =2.00000e-001  current h =4.91763e-002  current order = 2
-8.4157e-003 1.1001e-002 1.0572e-001 3.2734e-001 6.1816e-001 8.5987e-001
 9.7827e-001 1.0019e+000 1.0018e+000 7.7560e-001 3.0445e-001 2.4266e-002

 output for time t =3.00000e-001  current h =8.28141e-002  current order = 2
-3.6931e-003 2.3228e-002 1.1735e-001 2.9414e-001 5.2365e-001 7.4782e-001
 9.0941e-001 9.8299e-001 1.0035e+000 8.6224e-001 4.4976e-001 8.9586e-002

 output for time t =4.00000e-001  current h =8.28141e-002  current order = 2
 1.6199e-002 3.2670e-002 1.2216e-001 2.7041e-001 4.5953e-001 6.5694e-001
 8.2688e-001 9.3782e-001 9.9030e-001 9.2152e-001 5.8493e-001 1.8064e-001


final statistics for mf = 212:    10 steps,    30 res,     4 jacobians,
                     rw size =   429,    iw size =    30
                       3 extra res for each jac,   4 decomps
final output is correct to within 5.98e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf = 221


 output for time t =1.00000e-001  current h =4.10650e-002  current order = 3
-1.6795e-003-3.5501e-003 7.8147e-002 3.8155e-001 7.6687e-001 9.7258e-001
 1.0058e+000 1.0002e+000 9.9745e-001 6.5898e-001 1.5341e-001-9.7380e-003

 output for time t =2.00000e-001  current h =4.10650e-002  current order = 3
-9.1065e-003 1.1955e-002 1.0442e-001 3.2922e-001 6.1870e-001 8.5648e-001
 9.7954e-001 1.0024e+000 1.0020e+000 7.7523e-001 3.0442e-001 2.4723e-002

 output for time t =3.00000e-001  current h =4.10650e-002  current order = 3
-3.8401e-003 2.3248e-002 1.1677e-001 2.9534e-001 5.2564e-001 7.4566e-001
 9.0707e-001 9.8376e-001 1.0045e+000 8.6211e-001 4.4988e-001 8.9881e-002

 output for time t =4.00000e-001  current h =6.75720e-002  current order = 3
 1.6118e-002 3.2335e-002 1.2184e-001 2.7135e-001 4.6171e-001 6.5676e-001
 8.2354e-001 9.3627e-001 9.9147e-001 9.2224e-001 5.8532e-001 1.8105e-001


final statistics for mf = 221:    13 steps,    18 res,     4 jacobians,
                     rw size =   337,    iw size =    30
                       0 extra res for each jac,   4 decomps
final output is correct to within 4.09e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf = 222


 output for time t =1.00000e-001  current h =4.10649e-002  current order = 3
-1.6795e-003-3.5501e-003 7.8147e-002 3.8155e-001 7.6687e-001 9.7258e-001
 1.0058e+000 1.0002e+000 9.9745e-001 6.5898e-001 1.5341e-001-9.7380e-003

 output for time t =2.00000e-001  current h =4.10649e-002  current order = 3
-9.1065e-003 1.1955e-002 1.0442e-001 3.2922e-001 6.1870e-001 8.5648e-001
 9.7954e-001 1.0024e+000 1.0020e+000 7.7523e-001 3.0442e-001 2.4723e-002

 output for time t =3.00000e-001  current h =4.10649e-002  current order = 3
-3.8401e-003 2.3248e-002 1.1677e-001 2.9534e-001 5.2564e-001 7.4566e-001
 9.0707e-001 9.8376e-001 1.0045e+000 8.6211e-001 4.4988e-001 8.9881e-002

 output for time t =4.00000e-001  current h =6.75719e-002  current order = 3
 1.6118e-002 3.2335e-002 1.2184e-001 2.7135e-001 4.6171e-001 6.5676e-001
 8.2354e-001 9.3627e-001 9.9147e-001 9.2224e-001 5.8532e-001 1.8105e-001


final statistics for mf = 222:    13 steps,    34 res,     4 jacobians,
                     rw size =   345,    iw size =    30
                       3 extra res for each jac,   4 decomps
final output is correct to within 4.09e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf = 311


 output for time t =1.00000e-001  current h =4.91763e-002  current order = 2
-1.4627e-003-3.8326e-003 7.8444e-002 3.8122e-001 7.6707e-001 9.7283e-001
 1.0053e+000 1.0006e+000 9.9726e-001 6.5909e-001 1.5342e-001-9.8594e-003

 output for time t =2.00000e-001  current h =4.91763e-002  current order = 2
-8.4157e-003 1.1001e-002 1.0572e-001 3.2734e-001 6.1816e-001 8.5987e-001
 9.7827e-001 1.0019e+000 1.0018e+000 7.7560e-001 3.0445e-001 2.4266e-002

 output for time t =3.00000e-001  current h =8.28140e-002  current order = 2
-3.6931e-003 2.3228e-002 1.1735e-001 2.9414e-001 5.2365e-001 7.4782e-001
 9.0941e-001 9.8299e-001 1.0035e+000 8.6224e-001 4.4976e-001 8.9586e-002

 output for time t =4.00000e-001  current h =8.28140e-002  current order = 2
 1.6199e-002 3.2670e-002 1.2216e-001 2.7041e-001 4.5953e-001 6.5694e-001
 8.2688e-001 9.3782e-001 9.9030e-001 9.2152e-001 5.8493e-001 1.8064e-001


final statistics for mf = 311:    10 steps,    14 res,     4 jacobians,
                     rw size =   421,    iw size =    79
                       0 extra res for each jac,   4 decomps
final output is correct to within 5.98e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf = 312


 output for time t =1.00000e-001  current h =4.91763e-002  current order = 2
-1.4627e-003-3.8326e-003 7.8444e-002 3.8122e-001 7.6707e-001 9.7283e-001
 1.0053e+000 1.0006e+000 9.9726e-001 6.5909e-001 1.5342e-001-9.8594e-003

 output for time t =2.00000e-001  current h =4.91763e-002  current order = 2
-8.4157e-003 1.1001e-002 1.0572e-001 3.2734e-001 6.1816e-001 8.5987e-001
 9.7827e-001 1.0019e+000 1.0018e+000 7.7560e-001 3.0445e-001 2.4266e-002

 output for time t =3.00000e-001  current h =8.28141e-002  current order = 2
-3.6931e-003 2.3228e-002 1.1735e-001 2.9414e-001 5.2365e-001 7.4782e-001
 9.0941e-001 9.8299e-001 1.0035e+000 8.6224e-001 4.4976e-001 8.9586e-002

 output for time t =4.00000e-001  current h =8.28141e-002  current order = 2
 1.6199e-002 3.2670e-002 1.2216e-001 2.7041e-001 4.5953e-001 6.5694e-001
 8.2688e-001 9.3782e-001 9.9030e-001 9.2152e-001 5.8493e-001 1.8064e-001


final statistics for mf = 312:    10 steps,    30 res,     4 jacobians,
                     rw size =   429,    iw size =    79
                       3 extra res for each jac,   4 decomps
final output is correct to within 5.98e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf = 321


 output for time t =1.00000e-001  current h =4.10650e-002  current order = 3
-1.6795e-003-3.5501e-003 7.8147e-002 3.8155e-001 7.6687e-001 9.7258e-001
 1.0058e+000 1.0002e+000 9.9745e-001 6.5898e-001 1.5341e-001-9.7380e-003

 output for time t =2.00000e-001  current h =4.10650e-002  current order = 3
-9.1065e-003 1.1955e-002 1.0442e-001 3.2922e-001 6.1870e-001 8.5648e-001
 9.7954e-001 1.0024e+000 1.0020e+000 7.7523e-001 3.0442e-001 2.4723e-002

 output for time t =3.00000e-001  current h =4.10650e-002  current order = 3
-3.8401e-003 2.3248e-002 1.1677e-001 2.9534e-001 5.2564e-001 7.4566e-001
 9.0707e-001 9.8376e-001 1.0045e+000 8.6211e-001 4.4988e-001 8.9881e-002

 output for time t =4.00000e-001  current h =6.75720e-002  current order = 3
 1.6118e-002 3.2335e-002 1.2184e-001 2.7135e-001 4.6171e-001 6.5676e-001
 8.2354e-001 9.3627e-001 9.9147e-001 9.2224e-001 5.8532e-001 1.8105e-001


final statistics for mf = 321:    13 steps,    18 res,     4 jacobians,
                     rw size =   337,    iw size =    79
                       0 extra res for each jac,   4 decomps
final output is correct to within 4.09e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf = 322


 output for time t =1.00000e-001  current h =4.10649e-002  current order = 3
-1.6795e-003-3.5501e-003 7.8147e-002 3.8155e-001 7.6687e-001 9.7258e-001
 1.0058e+000 1.0002e+000 9.9745e-001 6.5898e-001 1.5341e-001-9.7380e-003

 output for time t =2.00000e-001  current h =4.10649e-002  current order = 3
-9.1065e-003 1.1955e-002 1.0442e-001 3.2922e-001 6.1870e-001 8.5648e-001
 9.7954e-001 1.0024e+000 1.0020e+000 7.7523e-001 3.0442e-001 2.4723e-002

 output for time t =3.00000e-001  current h =4.10649e-002  current order = 3
-3.8401e-003 2.3248e-002 1.1677e-001 2.9534e-001 5.2564e-001 7.4566e-001
 9.0707e-001 9.8376e-001 1.0045e+000 8.6211e-001 4.4988e-001 8.9881e-002

 output for time t =4.00000e-001  current h =6.75719e-002  current order = 3
 1.6118e-002 3.2335e-002 1.2184e-001 2.7135e-001 4.6171e-001 6.5676e-001
 8.2354e-001 9.3627e-001 9.9147e-001 9.2224e-001 5.8532e-001 1.8105e-001


final statistics for mf = 322:    13 steps,    34 res,     4 jacobians,
                     rw size =   345,    iw size =    79
                       3 extra res for each jac,   4 decomps
final output is correct to within 4.09e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf = 411


 output for time t =1.00000e-001  current h =4.91763e-002  current order = 2
-1.4627e-003-3.8326e-003 7.8444e-002 3.8122e-001 7.6707e-001 9.7283e-001
 1.0053e+000 1.0006e+000 9.9726e-001 6.5909e-001 1.5342e-001-9.8594e-003

 output for time t =2.00000e-001  current h =4.91763e-002  current order = 2
-8.4157e-003 1.1001e-002 1.0572e-001 3.2734e-001 6.1816e-001 8.5987e-001
 9.7827e-001 1.0019e+000 1.0018e+000 7.7560e-001 3.0445e-001 2.4266e-002

 output for time t =3.00000e-001  current h =8.28140e-002  current order = 2
-3.6931e-003 2.3228e-002 1.1735e-001 2.9414e-001 5.2365e-001 7.4782e-001
 9.0941e-001 9.8299e-001 1.0035e+000 8.6224e-001 4.4976e-001 8.9586e-002

 output for time t =4.00000e-001  current h =8.28140e-002  current order = 2
 1.6199e-002 3.2670e-002 1.2216e-001 2.7041e-001 4.5953e-001 6.5694e-001
 8.2688e-001 9.3782e-001 9.9030e-001 9.2152e-001 5.8493e-001 1.8064e-001


final statistics for mf = 411:    10 steps,    14 res,     4 jacobians,
                     rw size =   421,    iw size =    79
                       0 extra res for each jac,   4 decomps
final output is correct to within 5.98e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf = 412


 output for time t =1.00000e-001  current h =4.91763e-002  current order = 2
-1.4627e-003-3.8326e-003 7.8444e-002 3.8122e-001 7.6707e-001 9.7283e-001
 1.0053e+000 1.0006e+000 9.9726e-001 6.5909e-001 1.5342e-001-9.8594e-003

 output for time t =2.00000e-001  current h =4.91763e-002  current order = 2
-8.4157e-003 1.1001e-002 1.0572e-001 3.2734e-001 6.1816e-001 8.5987e-001
 9.7827e-001 1.0019e+000 1.0018e+000 7.7560e-001 3.0445e-001 2.4266e-002

 output for time t =3.00000e-001  current h =8.28141e-002  current order = 2
-3.6931e-003 2.3228e-002 1.1735e-001 2.9414e-001 5.2365e-001 7.4782e-001
 9.0941e-001 9.8299e-001 1.0035e+000 8.6224e-001 4.4976e-001 8.9586e-002

 output for time t =4.00000e-001  current h =8.28141e-002  current order = 2
 1.6199e-002 3.2670e-002 1.2216e-001 2.7041e-001 4.5953e-001 6.5694e-001
 8.2688e-001 9.3782e-001 9.9030e-001 9.2152e-001 5.8493e-001 1.8064e-001


final statistics for mf = 412:    10 steps,    30 res,     4 jacobians,
                     rw size =   429,    iw size =    79
                       3 extra res for each jac,   4 decomps
final output is correct to within 5.98e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf = 421


 output for time t =1.00000e-001  current h =4.10650e-002  current order = 3
-1.6795e-003-3.5501e-003 7.8147e-002 3.8155e-001 7.6687e-001 9.7258e-001
 1.0058e+000 1.0002e+000 9.9745e-001 6.5898e-001 1.5341e-001-9.7380e-003

 output for time t =2.00000e-001  current h =4.10650e-002  current order = 3
-9.1065e-003 1.1955e-002 1.0442e-001 3.2922e-001 6.1870e-001 8.5648e-001
 9.7954e-001 1.0024e+000 1.0020e+000 7.7523e-001 3.0442e-001 2.4723e-002

 output for time t =3.00000e-001  current h =4.10650e-002  current order = 3
-3.8401e-003 2.3248e-002 1.1677e-001 2.9534e-001 5.2564e-001 7.4566e-001
 9.0707e-001 9.8376e-001 1.0045e+000 8.6211e-001 4.4988e-001 8.9881e-002

 output for time t =4.00000e-001  current h =6.75720e-002  current order = 3
 1.6118e-002 3.2335e-002 1.2184e-001 2.7135e-001 4.6171e-001 6.5676e-001
 8.2354e-001 9.3627e-001 9.9147e-001 9.2224e-001 5.8532e-001 1.8105e-001


final statistics for mf = 421:    13 steps,    18 res,     4 jacobians,
                     rw size =   337,    iw size =    79
                       0 extra res for each jac,   4 decomps
final output is correct to within 4.09e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-003  atol =   1.00e-003   mf = 422


 output for time t =1.00000e-001  current h =4.10649e-002  current order = 3
-1.6795e-003-3.5501e-003 7.8147e-002 3.8155e-001 7.6687e-001 9.7258e-001
 1.0058e+000 1.0002e+000 9.9745e-001 6.5898e-001 1.5341e-001-9.7380e-003

 output for time t =2.00000e-001  current h =4.10649e-002  current order = 3
-9.1065e-003 1.1955e-002 1.0442e-001 3.2922e-001 6.1870e-001 8.5648e-001
 9.7954e-001 1.0024e+000 1.0020e+000 7.7523e-001 3.0442e-001 2.4723e-002

 output for time t =3.00000e-001  current h =4.10649e-002  current order = 3
-3.8401e-003 2.3248e-002 1.1677e-001 2.9534e-001 5.2564e-001 7.4566e-001
 9.0707e-001 9.8376e-001 1.0045e+000 8.6211e-001 4.4988e-001 8.9881e-002

 output for time t =4.00000e-001  current h =6.75719e-002  current order = 3
 1.6118e-002 3.2335e-002 1.2184e-001 2.7135e-001 4.6171e-001 6.5676e-001
 8.2354e-001 9.3627e-001 9.9147e-001 9.2224e-001 5.8532e-001 1.8105e-001


final statistics for mf = 422:    13 steps,    34 res,     4 jacobians,
                     rw size =   345,    iw size =    79
                       3 extra res for each jac,   4 decomps
final output is correct to within 4.09e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf =  11


 output for time t =1.00000e-001  current h =1.77173e-002  current order = 5
-1.6663e-003-3.5624e-003 7.8076e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7557e-003

 output for time t =2.00000e-001  current h =1.77173e-002  current order = 5
-8.5139e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =2.49798e-002  current order = 5
-3.7719e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4753e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =3.40404e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2515e-001 9.3565e-001 9.9017e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf =  11:    28 steps,    38 res,     7 jacobians,
                     rw size =   421,    iw size =   128
                       0 extra res for each jac,   7 decomps
final output is correct to within 4.08e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf =  12


 output for time t =1.00000e-001  current h =1.77173e-002  current order = 5
-1.6663e-003-3.5624e-003 7.8076e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7557e-003

 output for time t =2.00000e-001  current h =1.77173e-002  current order = 5
-8.5139e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =2.49798e-002  current order = 5
-3.7719e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4753e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =3.40404e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2515e-001 9.3565e-001 9.9017e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf =  12:    28 steps,    66 res,     7 jacobians,
                     rw size =   429,    iw size =   128
                       3 extra res for each jac,   7 decomps
final output is correct to within 4.08e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf =  21


 output for time t =1.00000e-001  current h =9.11354e-003  current order = 4
-1.6657e-003-3.5632e-003 7.8077e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7560e-003

 output for time t =2.00000e-001  current h =1.86604e-002  current order = 5
-8.5138e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =1.86604e-002  current order = 5
-3.7721e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4752e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =2.29445e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2516e-001 9.3565e-001 9.9016e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf =  21:    40 steps,    49 res,     7 jacobians,
                     rw size =   337,    iw size =   128
                       0 extra res for each jac,   7 decomps
final output is correct to within 1.01e+000  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf =  22


 output for time t =1.00000e-001  current h =9.11354e-003  current order = 4
-1.6657e-003-3.5632e-003 7.8077e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7560e-003

 output for time t =2.00000e-001  current h =1.86604e-002  current order = 5
-8.5138e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =1.86604e-002  current order = 5
-3.7721e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4752e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =2.29445e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2516e-001 9.3565e-001 9.9016e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf =  22:    40 steps,    77 res,     7 jacobians,
                     rw size =   345,    iw size =   128
                       3 extra res for each jac,   7 decomps
final output is correct to within 1.01e+000  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf = 111


 output for time t =1.00000e-001  current h =1.77173e-002  current order = 5
-1.6663e-003-3.5624e-003 7.8076e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7557e-003

 output for time t =2.00000e-001  current h =1.77173e-002  current order = 5
-8.5139e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =2.49798e-002  current order = 5
-3.7719e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4753e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =3.40404e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2515e-001 9.3565e-001 9.9017e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf = 111:    28 steps,    38 res,     7 jacobians,
                     rw size =   421,    iw size =    30
                       0 extra res for each jac,   7 decomps
final output is correct to within 4.08e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf = 112


 output for time t =1.00000e-001  current h =1.77173e-002  current order = 5
-1.6663e-003-3.5624e-003 7.8076e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7557e-003

 output for time t =2.00000e-001  current h =1.77173e-002  current order = 5
-8.5139e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =2.49798e-002  current order = 5
-3.7719e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4753e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =3.40404e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2515e-001 9.3565e-001 9.9017e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf = 112:    28 steps,    66 res,     7 jacobians,
                     rw size =   429,    iw size =    30
                       3 extra res for each jac,   7 decomps
final output is correct to within 4.08e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf = 121


 output for time t =1.00000e-001  current h =9.11354e-003  current order = 4
-1.6657e-003-3.5632e-003 7.8077e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7560e-003

 output for time t =2.00000e-001  current h =1.86604e-002  current order = 5
-8.5138e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =1.86604e-002  current order = 5
-3.7721e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4752e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =2.29445e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2516e-001 9.3565e-001 9.9016e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf = 121:    40 steps,    49 res,     7 jacobians,
                     rw size =   337,    iw size =    30
                       0 extra res for each jac,   7 decomps
final output is correct to within 1.01e+000  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf = 122


 output for time t =1.00000e-001  current h =9.11354e-003  current order = 4
-1.6657e-003-3.5632e-003 7.8077e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7560e-003

 output for time t =2.00000e-001  current h =1.86604e-002  current order = 5
-8.5138e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =1.86604e-002  current order = 5
-3.7721e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4752e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =2.29445e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2516e-001 9.3565e-001 9.9016e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf = 122:    40 steps,    77 res,     7 jacobians,
                     rw size =   345,    iw size =    30
                       3 extra res for each jac,   7 decomps
final output is correct to within 1.01e+000  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf = 211


 output for time t =1.00000e-001  current h =1.77173e-002  current order = 5
-1.6663e-003-3.5624e-003 7.8076e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7557e-003

 output for time t =2.00000e-001  current h =1.77173e-002  current order = 5
-8.5139e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =2.49798e-002  current order = 5
-3.7719e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4753e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =3.40404e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2515e-001 9.3565e-001 9.9017e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf = 211:    28 steps,    38 res,     7 jacobians,
                     rw size =   421,    iw size =    30
                       0 extra res for each jac,   7 decomps
final output is correct to within 4.08e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf = 212


 output for time t =1.00000e-001  current h =1.77173e-002  current order = 5
-1.6663e-003-3.5624e-003 7.8076e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7557e-003

 output for time t =2.00000e-001  current h =1.77173e-002  current order = 5
-8.5139e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =2.49798e-002  current order = 5
-3.7719e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4753e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =3.40404e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2515e-001 9.3565e-001 9.9017e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf = 212:    28 steps,    66 res,     7 jacobians,
                     rw size =   429,    iw size =    30
                       3 extra res for each jac,   7 decomps
final output is correct to within 4.08e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf = 221


 output for time t =1.00000e-001  current h =9.11354e-003  current order = 4
-1.6657e-003-3.5632e-003 7.8077e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7560e-003

 output for time t =2.00000e-001  current h =1.86604e-002  current order = 5
-8.5138e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =1.86604e-002  current order = 5
-3.7721e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4752e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =2.29445e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2516e-001 9.3565e-001 9.9016e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf = 221:    40 steps,    49 res,     7 jacobians,
                     rw size =   337,    iw size =    30
                       0 extra res for each jac,   7 decomps
final output is correct to within 1.01e+000  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf = 222


 output for time t =1.00000e-001  current h =9.11354e-003  current order = 4
-1.6657e-003-3.5632e-003 7.8077e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7560e-003

 output for time t =2.00000e-001  current h =1.86604e-002  current order = 5
-8.5138e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =1.86604e-002  current order = 5
-3.7721e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4752e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =2.29445e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2516e-001 9.3565e-001 9.9016e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf = 222:    40 steps,    77 res,     7 jacobians,
                     rw size =   345,    iw size =    30
                       3 extra res for each jac,   7 decomps
final output is correct to within 1.01e+000  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf = 311


 output for time t =1.00000e-001  current h =1.77173e-002  current order = 5
-1.6663e-003-3.5624e-003 7.8076e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7557e-003

 output for time t =2.00000e-001  current h =1.77173e-002  current order = 5
-8.5139e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =2.49798e-002  current order = 5
-3.7719e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4753e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =3.40404e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2515e-001 9.3565e-001 9.9017e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf = 311:    28 steps,    38 res,     7 jacobians,
                     rw size =   421,    iw size =    79
                       0 extra res for each jac,   7 decomps
final output is correct to within 4.08e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf = 312


 output for time t =1.00000e-001  current h =1.77173e-002  current order = 5
-1.6663e-003-3.5624e-003 7.8076e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7557e-003

 output for time t =2.00000e-001  current h =1.77173e-002  current order = 5
-8.5139e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =2.49798e-002  current order = 5
-3.7719e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4753e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =3.40404e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2515e-001 9.3565e-001 9.9017e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf = 312:    28 steps,    66 res,     7 jacobians,
                     rw size =   429,    iw size =    79
                       3 extra res for each jac,   7 decomps
final output is correct to within 4.08e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf = 321


 output for time t =1.00000e-001  current h =9.11354e-003  current order = 4
-1.6657e-003-3.5632e-003 7.8077e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7560e-003

 output for time t =2.00000e-001  current h =1.86604e-002  current order = 5
-8.5138e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =1.86604e-002  current order = 5
-3.7721e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4752e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =2.29445e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2516e-001 9.3565e-001 9.9016e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf = 321:    40 steps,    49 res,     7 jacobians,
                     rw size =   337,    iw size =    79
                       0 extra res for each jac,   7 decomps
final output is correct to within 1.01e+000  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf = 322


 output for time t =1.00000e-001  current h =9.11354e-003  current order = 4
-1.6657e-003-3.5632e-003 7.8077e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7560e-003

 output for time t =2.00000e-001  current h =1.86604e-002  current order = 5
-8.5138e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =1.86604e-002  current order = 5
-3.7721e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4752e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =2.29445e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2516e-001 9.3565e-001 9.9016e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf = 322:    40 steps,    77 res,     7 jacobians,
                     rw size =   345,    iw size =    79
                       3 extra res for each jac,   7 decomps
final output is correct to within 1.01e+000  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf = 411


 output for time t =1.00000e-001  current h =1.77173e-002  current order = 5
-1.6663e-003-3.5624e-003 7.8076e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7557e-003

 output for time t =2.00000e-001  current h =1.77173e-002  current order = 5
-8.5139e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =2.49798e-002  current order = 5
-3.7719e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4753e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =3.40404e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2515e-001 9.3565e-001 9.9017e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf = 411:    28 steps,    38 res,     7 jacobians,
                     rw size =   421,    iw size =    79
                       0 extra res for each jac,   7 decomps
final output is correct to within 4.08e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf = 412


 output for time t =1.00000e-001  current h =1.77173e-002  current order = 5
-1.6663e-003-3.5624e-003 7.8076e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7557e-003

 output for time t =2.00000e-001  current h =1.77173e-002  current order = 5
-8.5139e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =2.49798e-002  current order = 5
-3.7719e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4753e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =3.40404e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2515e-001 9.3565e-001 9.9017e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf = 412:    28 steps,    66 res,     7 jacobians,
                     rw size =   429,    iw size =    79
                       3 extra res for each jac,   7 decomps
final output is correct to within 4.08e-001  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf = 421


 output for time t =1.00000e-001  current h =9.11354e-003  current order = 4
-1.6657e-003-3.5632e-003 7.8077e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7560e-003

 output for time t =2.00000e-001  current h =1.86604e-002  current order = 5
-8.5138e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =1.86604e-002  current order = 5
-3.7721e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4752e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =2.29445e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2516e-001 9.3565e-001 9.9016e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf = 421:    40 steps,    49 res,     7 jacobians,
                     rw size =   337,    iw size =    79
                       0 extra res for each jac,   7 decomps
final output is correct to within 1.01e+000  times local error tolerance.




*************************************************************************************


run with itol = 1  rtol =   1.00e-006  atol =   1.00e-006   mf = 422


 output for time t =1.00000e-001  current h =9.11354e-003  current order = 4
-1.6657e-003-3.5632e-003 7.8077e-002 3.8174e-001 7.6718e-001 9.7183e-001
 1.0057e+000 1.0007e+000 9.9727e-001 6.5901e-001 1.5343e-001-9.7560e-003

 output for time t =2.00000e-001  current h =1.86604e-002  current order = 5
-8.5138e-003 1.1072e-002 1.0539e-001 3.2794e-001 6.1904e-001 8.5861e-001
 9.7733e-001 1.0026e+000 1.0023e+000 7.7544e-001 3.0447e-001 2.4390e-002

 output for time t =3.00000e-001  current h =1.86604e-002  current order = 5
-3.7721e-003 2.3050e-002 1.1707e-001 2.9468e-001 5.2506e-001 7.4752e-001
 9.0727e-001 9.8231e-001 1.0044e+000 8.6262e-001 4.4994e-001 8.9818e-002

 output for time t =4.00000e-001  current h =2.29445e-002  current order = 5
 1.6058e-002 3.2307e-002 1.2190e-001 2.7094e-001 4.6095e-001 6.5757e-001
 8.2516e-001 9.3565e-001 9.9016e-001 9.2242e-001 5.8577e-001 1.8111e-001


final statistics for mf = 422:    40 steps,    77 res,     7 jacobians,
                     rw size =   345,    iw size =    79
                       3 extra res for each jac,   7 decomps
final output is correct to within 1.01e+000  times local error tolerance.




*************************************************************************************

run completed: number of errors encountered =  0
rc= 0
** odepack/dlsoibt.f

                     demonstration problem for dlsoibt

          galerkin method solution of system of 3 pdes:

            u(i)   =  -(u(1)+u(2)+u(3)) u(i)   +  eta(i) u(i)     (i=1,2,3)
                t                           x                xx

          x interval is -1 to 1,  zero boundary conditions
          x discretized using piecewise linear basis functions

          fixed parameters are as follows:
             diffusion coefficients are eta = 1.00e-001 2.00e-002 1.00e-002
             t0 = 0.00000e+000
             tlast = 4.00000e-001
             uniform mesh, number of intervals = 100
             block size mb = 3
             number of blocks nb =  99
             ode system size neq =  297



initial profiles:

 values of pde component i =  1
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 1.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001
 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001
 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001
 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001
 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001
 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001
 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001
 2.0000e-001 2.0000e-001 2.0000e-001 2.0000e-001 1.0000e-001 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000
 values of pde component i =  2
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 1.5000e-001 3.0000e-001 3.0000e-001 3.0000e-001
 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001
 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001
 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001
 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001
 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001
 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001
 3.0000e-001 3.0000e-001 3.0000e-001 3.0000e-001 1.5000e-001 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000
 values of pde component i =  3
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 2.5000e-001 5.0000e-001 5.0000e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 2.5000e-001 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000 0.0000e+000
 0.0000e+000




******************************************************************************************

run with rtol = 1.0e-003  atol = 1.0e-003   mf = 11



 at time t =1.00000e-001  current h =2.23094e-002  current order = 2  current nst =   17

 at time t =2.00000e-001  current h =4.11105e-002  current order = 2  current nst =   20

 at time t =3.00000e-001  current h =5.10732e-002  current order = 2  current nst =   22

 at time t =4.00000e-001  current h =5.87346e-002  current order = 2  current nst =   24

 values of pde component i =  1
 1.7144e-003 3.4438e-003 5.2029e-003 7.0057e-003 8.8656e-003 1.0795e-002 1.2805e-002
 1.4904e-002 1.7101e-002 1.9401e-002 2.1808e-002 2.4326e-002 2.6951e-002 2.9681e-002
 3.2525e-002 3.5458e-002 3.8477e-002 4.1613e-002 4.4762e-002 4.8068e-002 5.1296e-002
 5.4750e-002 5.8075e-002 6.1521e-002 6.4969e-002 6.8463e-002 7.1914e-002 7.5315e-002
 7.8985e-002 8.2399e-002 8.5920e-002 8.9365e-002 9.2895e-002 9.6392e-002 9.9893e-002
 1.0340e-001 1.0689e-001 1.1038e-001 1.1387e-001 1.1737e-001 1.2086e-001 1.2436e-001
 1.2785e-001 1.3134e-001 1.3481e-001 1.3826e-001 1.4169e-001 1.4508e-001 1.4842e-001
 1.5169e-001 1.5490e-001 1.5801e-001 1.6101e-001 1.6390e-001 1.6665e-001 1.6924e-001
 1.7167e-001 1.7391e-001 1.7596e-001 1.7780e-001 1.7942e-001 1.8080e-001 1.8192e-001
 1.8279e-001 1.8336e-001 1.8364e-001 1.8361e-001 1.8323e-001 1.8253e-001 1.8136e-001
 1.7991e-001 1.7787e-001 1.7552e-001 1.7250e-001 1.6908e-001 1.6504e-001 1.6029e-001
 1.5483e-001 1.4880e-001 1.4239e-001 1.3484e-001 1.2657e-001 1.1765e-001 1.0824e-001
 9.8500e-002 8.8714e-002 7.9185e-002 7.0109e-002 6.1607e-002 5.3725e-002 4.6457e-002
 3.9768e-002 3.3607e-002 2.7917e-002 2.2635e-002 1.7695e-002 1.3030e-002 8.5716e-003
 4.2512e-003
 values of pde component i =  2
 7.7442e-006 1.8139e-005 3.4499e-005 6.1544e-005 1.0628e-004 1.7905e-004 2.9479e-004
 4.7437e-004 7.4598e-004 1.1462e-003 1.7206e-003 2.5235e-003 3.6172e-003 5.0683e-003
 6.9456e-003 9.3149e-003 1.2234e-002 1.5749e-002 1.9891e-002 2.4672e-002 3.0095e-002
 3.6127e-002 4.2752e-002 4.9910e-002 5.7552e-002 6.5650e-002 7.4095e-002 8.2881e-002
 9.1927e-002 1.0119e-001 1.1063e-001 1.2020e-001 1.2987e-001 1.3960e-001 1.4937e-001
 1.5917e-001 1.6897e-001 1.7874e-001 1.8847e-001 1.9812e-001 2.0764e-001 2.1697e-001
 2.2605e-001 2.3479e-001 2.4312e-001 2.5097e-001 2.5825e-001 2.6491e-001 2.7090e-001
 2.7620e-001 2.8081e-001 2.8473e-001 2.8801e-001 2.9071e-001 2.9289e-001 2.9463e-001
 2.9598e-001 2.9703e-001 2.9782e-001 2.9842e-001 2.9887e-001 2.9919e-001 2.9943e-001
 2.9960e-001 2.9972e-001 2.9980e-001 2.9986e-001 2.9990e-001 2.9992e-001 2.9992e-001
 2.9991e-001 2.9985e-001 2.9973e-001 2.9949e-001 2.9904e-001 2.9827e-001 2.9671e-001
 2.9374e-001 2.8903e-001 2.8170e-001 2.6996e-001 2.5050e-001 2.2236e-001 1.8674e-001
 1.4672e-001 1.0756e-001 7.4098e-002 4.8558e-002 3.0632e-002 1.8760e-002 1.1213e-002
 6.5595e-003 3.7621e-003 2.1171e-003 1.1693e-003 6.3306e-004 3.3380e-004 1.6666e-004
 6.8629e-005
 values of pde component i =  3
 9.9458e-008 2.1112e-007 3.5297e-007 5.6339e-007 9.4128e-007 1.7483e-006 3.6512e-006
 8.2549e-006 1.9184e-005 4.4062e-005 9.7770e-005 2.0736e-004 4.1859e-004 8.0312e-004
 1.4650e-003 2.5444e-003 4.2150e-003 6.6760e-003 1.0138e-002 1.4804e-002 2.0852e-002
 2.8417e-002 3.7587e-002 4.8391e-002 6.0809e-002 7.4778e-002 9.0189e-002 1.0691e-001
 1.2480e-001 1.4370e-001 1.6345e-001 1.8390e-001 2.0490e-001 2.2635e-001 2.4812e-001
 2.7008e-001 2.9209e-001 3.1399e-001 3.3556e-001 3.5654e-001 3.7662e-001 3.9549e-001
 4.1289e-001 4.2859e-001 4.4248e-001 4.5449e-001 4.6464e-001 4.7301e-001 4.7977e-001
 4.8509e-001 4.8919e-001 4.9228e-001 4.9457e-001 4.9623e-001 4.9742e-001 4.9825e-001
 4.9883e-001 4.9923e-001 4.9949e-001 4.9967e-001 4.9979e-001 4.9986e-001 4.9991e-001
 4.9995e-001 4.9997e-001 4.9998e-001 4.9999e-001 4.9999e-001 4.9999e-001 4.9999e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0011e-001 5.0018e-001
 4.9928e-001 4.9862e-001 4.9966e-001 4.8696e-001 4.5766e-001 4.1775e-001 3.4515e-001
 2.4425e-001 1.4849e-001 7.8685e-002 3.7172e-002 1.6083e-002 6.5173e-003 2.5117e-003
 9.2930e-004 3.3183e-004 1.1453e-004 3.8093e-005 1.2077e-005 3.5538e-006 9.1588e-007
 1.8277e-007


final statistics for mf = 11:   24 steps,    38 res,     9 jacobians,
                              rwork size =  7447,  iwork size =   317
final output is correct to within 7.51e+000  times local error tolerance. 




******************************************************************************************

run with rtol = 1.0e-003  atol = 1.0e-003   mf = 12



 at time t =1.00000e-001  current h =2.23045e-002  current order = 2  current nst =   17

 at time t =2.00000e-001  current h =4.11730e-002  current order = 2  current nst =   20

 at time t =3.00000e-001  current h =5.13490e-002  current order = 2  current nst =   22

 at time t =4.00000e-001  current h =5.92579e-002  current order = 2  current nst =   24

 values of pde component i =  1
 1.7125e-003 3.4399e-003 5.1968e-003 6.9974e-003 8.8549e-003 1.0782e-002 1.2788e-002
 1.4885e-002 1.7078e-002 1.9373e-002 2.1776e-002 2.4289e-002 2.6909e-002 2.9634e-002
 3.2471e-002 3.5397e-002 3.8408e-002 4.1534e-002 4.4675e-002 4.7971e-002 5.1194e-002
 5.4639e-002 5.7934e-002 6.1415e-002 6.4835e-002 6.8281e-002 7.1824e-002 7.5205e-002
 7.8807e-002 8.2232e-002 8.5788e-002 8.9250e-002 9.2783e-002 9.6282e-002 9.9783e-002
 1.0330e-001 1.0680e-001 1.1031e-001 1.1382e-001 1.1733e-001 1.2084e-001 1.2435e-001
 1.2785e-001 1.3134e-001 1.3482e-001 1.3828e-001 1.4172e-001 1.4511e-001 1.4845e-001
 1.5173e-001 1.5494e-001 1.5805e-001 1.6105e-001 1.6394e-001 1.6668e-001 1.6928e-001
 1.7170e-001 1.7395e-001 1.7599e-001 1.7783e-001 1.7945e-001 1.8082e-001 1.8195e-001
 1.8281e-001 1.8339e-001 1.8367e-001 1.8364e-001 1.8326e-001 1.8256e-001 1.8141e-001
 1.7997e-001 1.7794e-001 1.7560e-001 1.7264e-001 1.6921e-001 1.6520e-001 1.6053e-001
 1.5531e-001 1.4927e-001 1.4266e-001 1.3517e-001 1.2705e-001 1.1818e-001 1.0879e-001
 9.9049e-002 8.9259e-002 7.9719e-002 7.0624e-002 6.2096e-002 5.4179e-002 4.6868e-002
 4.0132e-002 3.3922e-002 2.8182e-002 2.2851e-002 1.7864e-002 1.3154e-002 8.6532e-003
 4.2917e-003
 values of pde component i =  2
 7.6367e-006 1.7926e-005 3.4188e-005 6.1148e-005 1.0582e-004 1.7856e-004 2.9430e-004
 4.7393e-004 7.4562e-004 1.1459e-003 1.7204e-003 2.5235e-003 3.6170e-003 5.0678e-003
 6.9444e-003 9.3122e-003 1.2229e-002 1.5741e-002 1.9877e-002 2.4652e-002 3.0063e-002
 3.6083e-002 4.2691e-002 4.9829e-002 5.7454e-002 6.5519e-002 7.3944e-002 8.2709e-002
 9.1735e-002 1.0099e-001 1.1043e-001 1.2000e-001 1.2969e-001 1.3946e-001 1.4927e-001
 1.5911e-001 1.6895e-001 1.7877e-001 1.8852e-001 1.9819e-001 2.0772e-001 2.1706e-001
 2.2614e-001 2.3488e-001 2.4321e-001 2.5104e-001 2.5832e-001 2.6497e-001 2.7096e-001
 2.7625e-001 2.8085e-001 2.8477e-001 2.8804e-001 2.9074e-001 2.9291e-001 2.9464e-001
 2.9600e-001 2.9704e-001 2.9783e-001 2.9843e-001 2.9887e-001 2.9920e-001 2.9943e-001
 2.9960e-001 2.9972e-001 2.9981e-001 2.9986e-001 2.9990e-001 2.9992e-001 2.9993e-001
 2.9991e-001 2.9985e-001 2.9973e-001 2.9949e-001 2.9904e-001 2.9822e-001 2.9666e-001
 2.9388e-001 2.8923e-001 2.8178e-001 2.6977e-001 2.5053e-001 2.2326e-001 1.8833e-001
 1.4843e-001 1.0902e-001 7.5183e-002 4.9293e-002 3.1095e-002 1.9037e-002 1.1372e-002
 6.6488e-003 3.8112e-003 2.1438e-003 1.1838e-003 6.4086e-004 3.3798e-004 1.6881e-004
 6.9544e-005
 values of pde component i =  3
 4.9714e-009 1.6543e-008 4.9375e-008 1.4296e-007 4.0359e-007 1.1079e-006 2.9460e-006
 7.5541e-006 1.8592e-005 4.3717e-005 9.7831e-005 2.0800e-004 4.1992e-004 8.0521e-004
 1.4680e-003 2.5482e-003 4.2198e-003 6.6824e-003 1.0147e-002 1.4818e-002 2.0874e-002
 2.8451e-002 3.7641e-002 4.8472e-002 6.0925e-002 7.4936e-002 9.0392e-002 1.0717e-001
 1.2510e-001 1.4405e-001 1.6382e-001 1.8430e-001 2.0532e-001 2.2676e-001 2.4851e-001
 2.7044e-001 2.9241e-001 3.1427e-001 3.3580e-001 3.5674e-001 3.7679e-001 3.9563e-001
 4.1300e-001 4.2869e-001 4.4256e-001 4.5455e-001 4.6469e-001 4.7306e-001 4.7980e-001
 4.8512e-001 4.8922e-001 4.9231e-001 4.9459e-001 4.9625e-001 4.9743e-001 4.9826e-001
 4.9884e-001 4.9923e-001 4.9950e-001 4.9967e-001 4.9979e-001 4.9987e-001 4.9991e-001
 4.9995e-001 4.9997e-001 4.9998e-001 4.9999e-001 4.9999e-001 5.0000e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0001e-001 5.0011e-001 5.0022e-001
 4.9928e-001 4.9850e-001 4.9975e-001 4.8723e-001 4.5809e-001 4.1908e-001 3.4724e-001
 2.4625e-001 1.5002e-001 7.9662e-002 3.7688e-002 1.6318e-002 6.6150e-003 2.5506e-003
 9.4496e-004 3.3865e-004 1.1793e-004 4.0040e-005 1.3288e-005 4.3170e-006 1.3663e-006
 3.9167e-007


final statistics for mf = 12:   24 steps,   128 res,     9 jacobians,
                              rwork size =  7447,  iwork size =   317
final output is correct to within 7.08e+000  times local error tolerance. 




******************************************************************************************

run with rtol = 1.0e-003  atol = 1.0e-003   mf = 21



 at time t =1.00000e-001  current h =1.72272e-002  current order = 2  current nst =   20

 at time t =2.00000e-001  current h =3.31222e-002  current order = 2  current nst =   24

 at time t =3.00000e-001  current h =3.31222e-002  current order = 2  current nst =   27

 at time t =4.00000e-001  current h =3.31222e-002  current order = 2  current nst =   30

 values of pde component i =  1
 1.7137e-003 3.4425e-003 5.2016e-003 7.0050e-003 8.8663e-003 1.0798e-002 1.2810e-002
 1.4913e-002 1.7114e-002 1.9418e-002 2.1830e-002 2.4350e-002 2.6979e-002 2.9714e-002
 3.2552e-002 3.5486e-002 3.8510e-002 4.1616e-002 4.4796e-002 4.8039e-002 5.1338e-002
 5.4684e-002 5.8069e-002 6.1484e-002 6.4923e-002 6.8381e-002 7.1852e-002 7.5332e-002
 7.8817e-002 8.2304e-002 8.5792e-002 8.9280e-002 9.2768e-002 9.6256e-002 9.9746e-002
 1.0324e-001 1.0674e-001 1.1024e-001 1.1375e-001 1.1727e-001 1.2079e-001 1.2432e-001
 1.2785e-001 1.3138e-001 1.3489e-001 1.3839e-001 1.4186e-001 1.4529e-001 1.4867e-001
 1.5198e-001 1.5520e-001 1.5833e-001 1.6135e-001 1.6423e-001 1.6697e-001 1.6955e-001
 1.7196e-001 1.7418e-001 1.7620e-001 1.7801e-001 1.7959e-001 1.8093e-001 1.8203e-001
 1.8285e-001 1.8340e-001 1.8365e-001 1.8359e-001 1.8320e-001 1.8246e-001 1.8135e-001
 1.7983e-001 1.7789e-001 1.7549e-001 1.7259e-001 1.6917e-001 1.6518e-001 1.6058e-001
 1.5532e-001 1.4933e-001 1.4258e-001 1.3510e-001 1.2687e-001 1.1796e-001 1.0852e-001
 9.8777e-002 8.9004e-002 7.9474e-002 7.0392e-002 6.1876e-002 5.3972e-002 4.6676e-002
 3.9956e-002 3.3764e-002 2.8044e-002 2.2735e-002 1.7770e-002 1.3083e-002 8.6052e-003
 4.2675e-003
 values of pde component i =  2
 8.2919e-006 1.9258e-005 3.6209e-005 6.3807e-005 1.0892e-004 1.8170e-004 2.9681e-004
 4.7488e-004 7.4395e-004 1.1407e-003 1.7112e-003 2.5109e-003 3.6030e-003 5.0559e-003
 6.9391e-003 9.3181e-003 1.2250e-002 1.5777e-002 1.9928e-002 2.4712e-002 3.0123e-002
 3.6139e-002 4.2725e-002 4.9840e-002 5.7434e-002 6.5456e-002 7.3851e-002 8.2569e-002
 9.1559e-002 1.0078e-001 1.1018e-001 1.1974e-001 1.2943e-001 1.3922e-001 1.4911e-001
 1.5908e-001 1.6909e-001 1.7913e-001 1.8913e-001 1.9904e-001 2.0879e-001 2.1828e-001
 2.2743e-001 2.3616e-001 2.4438e-001 2.5205e-001 2.5909e-001 2.6547e-001 2.7119e-001
 2.7623e-001 2.8061e-001 2.8437e-001 2.8754e-001 2.9019e-001 2.9236e-001 2.9412e-001
 2.9552e-001 2.9663e-001 2.9749e-001 2.9815e-001 2.9865e-001 2.9902e-001 2.9930e-001
 2.9950e-001 2.9965e-001 2.9975e-001 2.9983e-001 2.9988e-001 2.9990e-001 2.9991e-001
 2.9990e-001 2.9985e-001 2.9975e-001 2.9955e-001 2.9917e-001 2.9847e-001 2.9717e-001
 2.9482e-001 2.9035e-001 2.8199e-001 2.6856e-001 2.4910e-001 2.2185e-001 1.8690e-001
 1.4739e-001 1.0852e-001 7.5106e-002 4.9448e-002 3.1338e-002 1.9286e-002 1.1591e-002
 6.8245e-003 3.9436e-003 2.2387e-003 1.2486e-003 6.8327e-004 3.6426e-004 1.8374e-004
 7.6240e-005
 values of pde component i =  3
 6.1615e-008 1.3772e-007 2.5131e-007 4.5198e-007 8.6101e-007 1.7794e-006 3.9320e-006
 8.9850e-006 2.0570e-005 4.6165e-005 1.0028e-004 2.0937e-004 4.1851e-004 7.9922e-004
 1.4567e-003 2.5338e-003 4.2080e-003 6.6813e-003 1.0163e-002 1.4849e-002 2.0907e-002
 2.8460e-002 3.7584e-002 4.8305e-002 6.0601e-002 7.4415e-002 8.9656e-002 1.0621e-001
 1.2397e-001 1.4279e-001 1.6255e-001 1.8315e-001 2.0446e-001 2.2638e-001 2.4877e-001
 2.7143e-001 2.9413e-001 3.1657e-001 3.3843e-001 3.5937e-001 3.7912e-001 3.9742e-001
 4.1410e-001 4.2904e-001 4.4220e-001 4.5360e-001 4.6329e-001 4.7140e-001 4.7805e-001
 4.8342e-001 4.8766e-001 4.9097e-001 4.9348e-001 4.9537e-001 4.9676e-001 4.9776e-001
 4.9848e-001 4.9898e-001 4.9932e-001 4.9956e-001 4.9971e-001 4.9982e-001 4.9988e-001
 4.9993e-001 4.9995e-001 4.9997e-001 4.9998e-001 4.9999e-001 4.9999e-001 4.9999e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0001e-001 5.0007e-001 5.0022e-001 5.0072e-001
 5.0225e-001 5.0162e-001 4.9498e-001 4.8779e-001 4.6719e-001 4.1324e-001 3.3391e-001
 2.4155e-001 1.5115e-001 8.1884e-002 3.9367e-002 1.7263e-002 7.0672e-003 2.7448e-003
 1.0215e-003 3.6631e-004 1.2686e-004 4.2407e-005 1.3619e-005 4.1545e-006 1.1754e-006
 2.8686e-007


final statistics for mf = 21:   30 steps,    45 res,    11 jacobians,
                              rwork size =  5368,  iwork size =   317
final output is correct to within 1.40e+001  times local error tolerance. 




******************************************************************************************

run with rtol = 1.0e-003  atol = 1.0e-003   mf = 22



 at time t =1.00000e-001  current h =1.72188e-002  current order = 2  current nst =   20

 at time t =2.00000e-001  current h =3.32165e-002  current order = 2  current nst =   24

 at time t =3.00000e-001  current h =3.32165e-002  current order = 2  current nst =   27

 at time t =4.00000e-001  current h =3.32165e-002  current order = 2  current nst =   30

 values of pde component i =  1
 1.7127e-003 3.4407e-003 5.1987e-003 7.0010e-003 8.8611e-003 1.0791e-002 1.2802e-002
 1.4903e-002 1.7101e-002 1.9403e-002 2.1812e-002 2.4328e-002 2.6953e-002 2.9684e-002
 3.2517e-002 3.5445e-002 3.8463e-002 4.1563e-002 4.4734e-002 4.7970e-002 5.1261e-002
 5.4598e-002 5.7973e-002 6.1380e-002 6.4810e-002 6.8260e-002 7.1723e-002 7.5197e-002
 7.8678e-002 8.2164e-002 8.5654e-002 8.9146e-002 9.2640e-002 9.6137e-002 9.9636e-002
 1.0314e-001 1.0665e-001 1.1016e-001 1.1369e-001 1.1721e-001 1.2075e-001 1.2429e-001
 1.2783e-001 1.3136e-001 1.3489e-001 1.3839e-001 1.4187e-001 1.4530e-001 1.4868e-001
 1.5200e-001 1.5522e-001 1.5835e-001 1.6137e-001 1.6426e-001 1.6700e-001 1.6958e-001
 1.7199e-001 1.7421e-001 1.7622e-001 1.7803e-001 1.7961e-001 1.8095e-001 1.8204e-001
 1.8287e-001 1.8342e-001 1.8367e-001 1.8361e-001 1.8322e-001 1.8247e-001 1.8135e-001
 1.7983e-001 1.7788e-001 1.7547e-001 1.7256e-001 1.6912e-001 1.6512e-001 1.6050e-001
 1.5523e-001 1.4926e-001 1.4257e-001 1.3514e-001 1.2697e-001 1.1811e-001 1.0870e-001
 9.8972e-002 8.9209e-002 7.9682e-002 7.0598e-002 6.2076e-002 5.4161e-002 4.6851e-002
 4.0114e-002 3.3903e-002 2.8164e-002 2.2834e-002 1.7849e-002 1.3142e-002 8.6444e-003
 4.2871e-003
 values of pde component i =  2
 8.2203e-006 1.9115e-005 3.5997e-005 6.3530e-005 1.0860e-004 1.8134e-004 2.9645e-004
 4.7457e-004 7.4372e-004 1.1406e-003 1.7113e-003 2.5111e-003 3.6033e-003 5.0561e-003
 6.9389e-003 9.3172e-003 1.2247e-002 1.5772e-002 1.9920e-002 2.4698e-002 3.0101e-002
 3.6107e-002 4.2680e-002 4.9778e-002 5.7352e-002 6.5351e-002 7.3724e-002 8.2421e-002
 9.1396e-002 1.0061e-001 1.1001e-001 1.1959e-001 1.2930e-001 1.3912e-001 1.4905e-001
 1.5905e-001 1.6909e-001 1.7915e-001 1.8917e-001 1.9910e-001 2.0885e-001 2.1834e-001
 2.2749e-001 2.3622e-001 2.4444e-001 2.5210e-001 2.5914e-001 2.6552e-001 2.7122e-001
 2.7626e-001 2.8064e-001 2.8439e-001 2.8756e-001 2.9020e-001 2.9237e-001 2.9413e-001
 2.9553e-001 2.9663e-001 2.9749e-001 2.9815e-001 2.9865e-001 2.9902e-001 2.9930e-001
 2.9950e-001 2.9965e-001 2.9976e-001 2.9983e-001 2.9988e-001 2.9991e-001 2.9992e-001
 2.9990e-001 2.9986e-001 2.9975e-001 2.9955e-001 2.9916e-001 2.9843e-001 2.9707e-001
 2.9458e-001 2.9001e-001 2.8189e-001 2.6884e-001 2.4945e-001 2.2212e-001 1.8719e-001
 1.4777e-001 1.0894e-001 7.5494e-002 4.9755e-002 3.1556e-002 1.9430e-002 1.1681e-002
 6.8786e-003 3.9751e-003 2.2566e-003 1.2587e-003 6.8880e-004 3.6726e-004 1.8528e-004
 7.6894e-005
 values of pde component i =  3
 6.4300e-009 2.1338e-008 6.3116e-008 1.7980e-007 4.9597e-007 1.3228e-006 3.4039e-006
 8.4330e-006 2.0076e-005 4.5849e-005 1.0029e-004 2.0987e-004 4.1962e-004 8.0102e-004
 1.4592e-003 2.5369e-003 4.2116e-003 6.6854e-003 1.0168e-002 1.4856e-002 2.0918e-002
 2.8479e-002 3.7616e-002 4.8356e-002 6.0679e-002 7.4526e-002 8.9805e-002 1.0640e-001
 1.2420e-001 1.4305e-001 1.6284e-001 1.8345e-001 2.0476e-001 2.2666e-001 2.4902e-001
 2.7165e-001 2.9431e-001 3.1671e-001 3.3853e-001 3.5945e-001 3.7917e-001 3.9745e-001
 4.1412e-001 4.2905e-001 4.4220e-001 4.5359e-001 4.6329e-001 4.7139e-001 4.7805e-001
 4.8341e-001 4.8766e-001 4.9097e-001 4.9349e-001 4.9537e-001 4.9676e-001 4.9777e-001
 4.9848e-001 4.9898e-001 4.9932e-001 4.9956e-001 4.9971e-001 4.9982e-001 4.9988e-001
 4.9993e-001 4.9996e-001 4.9997e-001 4.9998e-001 4.9999e-001 4.9999e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0002e-001 5.0007e-001 5.0023e-001 5.0075e-001
 5.0238e-001 5.0176e-001 4.9491e-001 4.8807e-001 4.6792e-001 4.1365e-001 3.3437e-001
 2.4246e-001 1.5207e-001 8.2494e-002 3.9692e-002 1.7413e-002 7.1293e-003 2.7694e-003
 1.0313e-003 3.7052e-004 1.2894e-004 4.3581e-005 1.4333e-005 4.5924e-006 1.4269e-006
 4.0118e-007


final statistics for mf = 22:   30 steps,   155 res,    11 jacobians,
                              rwork size =  5368,  iwork size =   317
final output is correct to within 1.35e+001  times local error tolerance. 




******************************************************************************************

run with rtol = 1.0e-006  atol = 1.0e-006   mf = 11



 at time t =1.00000e-001  current h =7.99804e-003  current order = 4  current nst =   60

 at time t =2.00000e-001  current h =1.01160e-002  current order = 4  current nst =   71

 at time t =3.00000e-001  current h =1.20900e-002  current order = 4  current nst =   89

 at time t =4.00000e-001  current h =1.28122e-002  current order = 4  current nst =  106

 values of pde component i =  1
 1.7096e-003 3.4340e-003 5.1878e-003 6.9852e-003 8.8392e-003 1.0762e-002 1.2765e-002
 1.4857e-002 1.7047e-002 1.9339e-002 2.1739e-002 2.4249e-002 2.6868e-002 2.9596e-002
 3.2427e-002 3.5359e-002 3.8382e-002 4.1491e-002 4.4675e-002 4.7927e-002 5.1237e-002
 5.4596e-002 5.7995e-002 6.1427e-002 6.4885e-002 6.8363e-002 7.1856e-002 7.5360e-002
 7.8871e-002 8.2387e-002 8.5906e-002 8.9427e-002 9.2948e-002 9.6470e-002 9.9992e-002
 1.0351e-001 1.0703e-001 1.1055e-001 1.1407e-001 1.1758e-001 1.2109e-001 1.2459e-001
 1.2808e-001 1.3156e-001 1.3502e-001 1.3845e-001 1.4184e-001 1.4520e-001 1.4850e-001
 1.5174e-001 1.5490e-001 1.5798e-001 1.6095e-001 1.6380e-001 1.6652e-001 1.6910e-001
 1.7151e-001 1.7374e-001 1.7579e-001 1.7763e-001 1.7926e-001 1.8065e-001 1.8179e-001
 1.8267e-001 1.8327e-001 1.8358e-001 1.8357e-001 1.8322e-001 1.8252e-001 1.8143e-001
 1.7994e-001 1.7801e-001 1.7561e-001 1.7271e-001 1.6927e-001 1.6526e-001 1.6063e-001
 1.5536e-001 1.4940e-001 1.4272e-001 1.3530e-001 1.2715e-001 1.1831e-001 1.0891e-001
 9.9157e-002 8.9352e-002 7.9782e-002 7.0666e-002 6.2124e-002 5.4199e-002 4.6885e-002
 4.0146e-002 3.3936e-002 2.8195e-002 2.2863e-002 1.7875e-002 1.3163e-002 8.6593e-003
 4.2948e-003
 values of pde component i =  2
 7.1742e-006 1.7078e-005 3.3125e-005 6.0159e-005 1.0534e-004 1.7917e-004 2.9672e-004
 4.7886e-004 7.5360e-004 1.1571e-003 1.7342e-003 2.5385e-003 3.6310e-003 5.0780e-003
 6.9478e-003 9.3065e-003 1.2213e-002 1.5715e-002 1.9846e-002 2.4621e-002 3.0037e-002
 3.6076e-002 4.2706e-002 4.9881e-002 5.7551e-002 6.5661e-002 7.4154e-002 8.2976e-002
 9.2075e-002 1.0140e-001 1.1091e-001 1.2056e-001 1.3032e-001 1.4014e-001 1.5000e-001
 1.5985e-001 1.6968e-001 1.7943e-001 1.8908e-001 1.9860e-001 2.0792e-001 2.1702e-001
 2.2585e-001 2.3434e-001 2.4245e-001 2.5012e-001 2.5730e-001 2.6393e-001 2.6997e-001
 2.7538e-001 2.8016e-001 2.8429e-001 2.8779e-001 2.9070e-001 2.9306e-001 2.9493e-001
 2.9637e-001 2.9747e-001 2.9827e-001 2.9885e-001 2.9925e-001 2.9952e-001 2.9971e-001
 2.9982e-001 2.9990e-001 2.9994e-001 2.9996e-001 2.9997e-001 2.9997e-001 2.9996e-001
 2.9993e-001 2.9985e-001 2.9971e-001 2.9944e-001 2.9894e-001 2.9804e-001 2.9644e-001
 2.9368e-001 2.8904e-001 2.8142e-001 2.6932e-001 2.5087e-001 2.2446e-001 1.8989e-001
 1.4989e-001 1.0993e-001 7.5403e-002 4.9025e-002 3.0608e-002 1.8516e-002 1.0911e-002
 6.2775e-003 3.5302e-003 1.9407e-003 1.0423e-003 5.4606e-004 2.7744e-004 1.3338e-004
 5.3284e-005
 values of pde component i =  3
 1.9700e-010 1.9955e-009 1.1981e-008 5.5629e-008 2.1858e-007 7.5626e-007 2.3566e-006
 6.7086e-006 1.7623e-005 4.3036e-005 9.8260e-005 2.1074e-004 4.2621e-004 8.1566e-004
 1.4816e-003 2.5619e-003 4.2285e-003 6.6808e-003 1.0132e-002 1.4790e-002 2.0842e-002
 2.8434e-002 3.7657e-002 4.8550e-002 6.1093e-002 7.5220e-002 9.0822e-002 1.0776e-001
 1.2589e-001 1.4503e-001 1.6502e-001 1.8569e-001 2.0686e-001 2.2836e-001 2.5002e-001
 2.7169e-001 2.9318e-001 3.1434e-001 3.3500e-001 3.5499e-001 3.7412e-001 3.9224e-001
 4.0918e-001 4.2477e-001 4.3889e-001 4.5143e-001 4.6232e-001 4.7155e-001 4.7914e-001
 4.8520e-001 4.8986e-001 4.9332e-001 4.9577e-001 4.9744e-001 4.9852e-001 4.9919e-001
 4.9958e-001 4.9979e-001 4.9990e-001 4.9996e-001 4.9998e-001 4.9999e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 4.9999e-001 4.9995e-001 4.9983e-001
 4.9944e-001 4.9824e-001 4.9488e-001 4.8608e-001 4.6518e-001 4.2186e-001 3.4789e-001
 2.4964e-001 1.5164e-001 7.8015e-002 3.4798e-002 1.3870e-002 5.0592e-003 1.7117e-003
 5.3963e-004 1.5825e-004 4.2875e-005 1.0606e-005 2.3509e-006 4.5220e-007 7.0930e-008
 7.7916e-009


final statistics for mf = 11:  106 steps,   148 res,    23 jacobians,
                              rwork size =  7447,  iwork size =   317
final output is correct to within 6.68e+000  times local error tolerance. 




******************************************************************************************

run with rtol = 1.0e-006  atol = 1.0e-006   mf = 12



 at time t =1.00000e-001  current h =6.41849e-003  current order = 3  current nst =   61

 at time t =2.00000e-001  current h =1.30367e-002  current order = 4  current nst =   71

 at time t =3.00000e-001  current h =6.87104e-003  current order = 3  current nst =   89

 at time t =4.00000e-001  current h =8.40700e-003  current order = 3  current nst =  100

 values of pde component i =  1
 1.7096e-003 3.4340e-003 5.1878e-003 6.9852e-003 8.8391e-003 1.0762e-002 1.2765e-002
 1.4858e-002 1.7046e-002 1.9340e-002 2.1738e-002 2.4251e-002 2.6867e-002 2.9598e-002
 3.2425e-002 3.5361e-002 3.8380e-002 4.1493e-002 4.4674e-002 4.7928e-002 5.1236e-002
 5.4595e-002 5.7996e-002 6.1425e-002 6.4888e-002 6.8359e-002 7.1861e-002 7.5354e-002
 7.8877e-002 8.2380e-002 8.5913e-002 8.9420e-002 9.2955e-002 9.6464e-002 9.9998e-002
 1.0351e-001 1.0704e-001 1.1055e-001 1.1407e-001 1.1758e-001 1.2109e-001 1.2459e-001
 1.2808e-001 1.3156e-001 1.3502e-001 1.3845e-001 1.4184e-001 1.4520e-001 1.4850e-001
 1.5174e-001 1.5490e-001 1.5798e-001 1.6095e-001 1.6380e-001 1.6652e-001 1.6910e-001
 1.7151e-001 1.7374e-001 1.7579e-001 1.7763e-001 1.7926e-001 1.8064e-001 1.8179e-001
 1.8267e-001 1.8327e-001 1.8357e-001 1.8357e-001 1.8322e-001 1.8252e-001 1.8143e-001
 1.7994e-001 1.7801e-001 1.7561e-001 1.7271e-001 1.6927e-001 1.6526e-001 1.6064e-001
 1.5536e-001 1.4940e-001 1.4271e-001 1.3531e-001 1.2715e-001 1.1831e-001 1.0890e-001
 9.9155e-002 8.9353e-002 7.9780e-002 7.0668e-002 6.2122e-002 5.4201e-002 4.6883e-002
 4.0147e-002 3.3935e-002 2.8196e-002 2.2863e-002 1.7875e-002 1.3163e-002 8.6594e-003
 4.2948e-003
 values of pde component i =  2
 7.1739e-006 1.7078e-005 3.3124e-005 6.0157e-005 1.0534e-004 1.7917e-004 2.9672e-004
 4.7886e-004 7.5360e-004 1.1571e-003 1.7342e-003 2.5385e-003 3.6310e-003 5.0780e-003
 6.9478e-003 9.3064e-003 1.2213e-002 1.5715e-002 1.9846e-002 2.4621e-002 3.0037e-002
 3.6076e-002 4.2706e-002 4.9881e-002 5.7551e-002 6.5661e-002 7.4154e-002 8.2976e-002
 9.2075e-002 1.0140e-001 1.1091e-001 1.2056e-001 1.3032e-001 1.4014e-001 1.5000e-001
 1.5985e-001 1.6968e-001 1.7943e-001 1.8908e-001 1.9859e-001 2.0792e-001 2.1702e-001
 2.2585e-001 2.3434e-001 2.4245e-001 2.5012e-001 2.5730e-001 2.6393e-001 2.6997e-001
 2.7538e-001 2.8016e-001 2.8429e-001 2.8779e-001 2.9070e-001 2.9306e-001 2.9493e-001
 2.9637e-001 2.9747e-001 2.9827e-001 2.9885e-001 2.9925e-001 2.9952e-001 2.9971e-001
 2.9982e-001 2.9990e-001 2.9994e-001 2.9996e-001 2.9997e-001 2.9997e-001 2.9996e-001
 2.9993e-001 2.9985e-001 2.9971e-001 2.9944e-001 2.9894e-001 2.9804e-001 2.9644e-001
 2.9368e-001 2.8904e-001 2.8142e-001 2.6932e-001 2.5088e-001 2.2446e-001 1.8989e-001
 1.4989e-001 1.0993e-001 7.5403e-002 4.9025e-002 3.0607e-002 1.8517e-002 1.0911e-002
 6.2776e-003 3.5303e-003 1.9407e-003 1.0424e-003 5.4609e-004 2.7746e-004 1.3339e-004
 5.3289e-005
 values of pde component i =  3
 2.0027e-010 2.0030e-009 1.1983e-008 5.5623e-008 2.1853e-007 7.5611e-007 2.3562e-006
 6.7079e-006 1.7622e-005 4.3034e-005 9.8257e-005 2.1073e-004 4.2621e-004 8.1565e-004
 1.4816e-003 2.5619e-003 4.2285e-003 6.6808e-003 1.0132e-002 1.4790e-002 2.0842e-002
 2.8434e-002 3.7657e-002 4.8550e-002 6.1093e-002 7.5220e-002 9.0822e-002 1.0776e-001
 1.2589e-001 1.4503e-001 1.6502e-001 1.8569e-001 2.0686e-001 2.2836e-001 2.5002e-001
 2.7169e-001 2.9318e-001 3.1435e-001 3.3500e-001 3.5499e-001 3.7412e-001 3.9224e-001
 4.0918e-001 4.2477e-001 4.3889e-001 4.5143e-001 4.6232e-001 4.7155e-001 4.7914e-001
 4.8520e-001 4.8986e-001 4.9332e-001 4.9577e-001 4.9744e-001 4.9852e-001 4.9919e-001
 4.9958e-001 4.9979e-001 4.9990e-001 4.9996e-001 4.9998e-001 4.9999e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 4.9999e-001 4.9995e-001 4.9983e-001
 4.9943e-001 4.9824e-001 4.9488e-001 4.8608e-001 4.6518e-001 4.2187e-001 3.4789e-001
 2.4964e-001 1.5164e-001 7.8010e-002 3.4797e-002 1.3871e-002 5.0606e-003 1.7126e-003
 5.4007e-004 1.5843e-004 4.2946e-005 1.0633e-005 2.3605e-006 4.5556e-007 7.2022e-008
 8.1027e-009


final statistics for mf = 12:  100 steps,   353 res,    22 jacobians,
                              rwork size =  7447,  iwork size =   317
final output is correct to within 1.24e+001  times local error tolerance. 




******************************************************************************************

run with rtol = 1.0e-006  atol = 1.0e-006   mf = 21



 at time t =1.00000e-001  current h =5.75195e-003  current order = 4  current nst =   72

 at time t =2.00000e-001  current h =9.26222e-003  current order = 5  current nst =   85

 at time t =3.00000e-001  current h =1.22737e-002  current order = 5  current nst =   95

 at time t =4.00000e-001  current h =1.22737e-002  current order = 5  current nst =  103

 values of pde component i =  1
 1.7096e-003 3.4340e-003 5.1878e-003 6.9852e-003 8.8392e-003 1.0762e-002 1.2765e-002
 1.4857e-002 1.7047e-002 1.9339e-002 2.1739e-002 2.4249e-002 2.6868e-002 2.9596e-002
 3.2428e-002 3.5359e-002 3.8382e-002 4.1491e-002 4.4675e-002 4.7927e-002 5.1237e-002
 5.4595e-002 5.7995e-002 6.1427e-002 6.4885e-002 6.8363e-002 7.1856e-002 7.5360e-002
 7.8871e-002 8.2387e-002 8.5906e-002 8.9427e-002 9.2948e-002 9.6470e-002 9.9992e-002
 1.0351e-001 1.0703e-001 1.1055e-001 1.1407e-001 1.1758e-001 1.2109e-001 1.2459e-001
 1.2808e-001 1.3156e-001 1.3502e-001 1.3845e-001 1.4184e-001 1.4520e-001 1.4850e-001
 1.5174e-001 1.5490e-001 1.5798e-001 1.6095e-001 1.6380e-001 1.6652e-001 1.6910e-001
 1.7151e-001 1.7374e-001 1.7579e-001 1.7763e-001 1.7926e-001 1.8065e-001 1.8179e-001
 1.8267e-001 1.8327e-001 1.8358e-001 1.8357e-001 1.8322e-001 1.8252e-001 1.8143e-001
 1.7994e-001 1.7801e-001 1.7561e-001 1.7271e-001 1.6927e-001 1.6526e-001 1.6063e-001
 1.5536e-001 1.4940e-001 1.4272e-001 1.3530e-001 1.2715e-001 1.1831e-001 1.0890e-001
 9.9155e-002 8.9351e-002 7.9782e-002 7.0666e-002 6.2124e-002 5.4199e-002 4.6885e-002
 4.0147e-002 3.3936e-002 2.8195e-002 2.2864e-002 1.7875e-002 1.3163e-002 8.6593e-003
 4.2948e-003
 values of pde component i =  2
 7.1743e-006 1.7079e-005 3.3125e-005 6.0159e-005 1.0534e-004 1.7918e-004 2.9672e-004
 4.7886e-004 7.5360e-004 1.1571e-003 1.7342e-003 2.5385e-003 3.6310e-003 5.0780e-003
 6.9478e-003 9.3064e-003 1.2213e-002 1.5715e-002 1.9846e-002 2.4621e-002 3.0037e-002
 3.6076e-002 4.2706e-002 4.9881e-002 5.7551e-002 6.5661e-002 7.4154e-002 8.2976e-002
 9.2075e-002 1.0140e-001 1.1091e-001 1.2056e-001 1.3032e-001 1.4014e-001 1.5000e-001
 1.5985e-001 1.6968e-001 1.7943e-001 1.8908e-001 1.9860e-001 2.0792e-001 2.1702e-001
 2.2585e-001 2.3434e-001 2.4245e-001 2.5012e-001 2.5730e-001 2.6393e-001 2.6997e-001
 2.7538e-001 2.8016e-001 2.8429e-001 2.8779e-001 2.9070e-001 2.9306e-001 2.9493e-001
 2.9637e-001 2.9747e-001 2.9827e-001 2.9885e-001 2.9925e-001 2.9952e-001 2.9971e-001
 2.9982e-001 2.9990e-001 2.9994e-001 2.9996e-001 2.9998e-001 2.9997e-001 2.9996e-001
 2.9993e-001 2.9985e-001 2.9971e-001 2.9944e-001 2.9894e-001 2.9804e-001 2.9644e-001
 2.9368e-001 2.8904e-001 2.8142e-001 2.6932e-001 2.5087e-001 2.2446e-001 1.8988e-001
 1.4989e-001 1.0993e-001 7.5404e-002 4.9026e-002 3.0608e-002 1.8516e-002 1.0910e-002
 6.2772e-003 3.5300e-003 1.9405e-003 1.0422e-003 5.4597e-004 2.7739e-004 1.3335e-004
 5.3268e-005
 values of pde component i =  3
 1.7213e-010 1.9380e-009 1.1865e-008 5.5432e-008 2.1827e-007 7.5587e-007 2.3562e-006
 6.7085e-006 1.7623e-005 4.3037e-005 9.8261e-005 2.1074e-004 4.2621e-004 8.1566e-004
 1.4816e-003 2.5619e-003 4.2285e-003 6.6808e-003 1.0132e-002 1.4790e-002 2.0842e-002
 2.8433e-002 3.7657e-002 4.8550e-002 6.1093e-002 7.5220e-002 9.0822e-002 1.0776e-001
 1.2589e-001 1.4503e-001 1.6503e-001 1.8569e-001 2.0686e-001 2.2836e-001 2.5002e-001
 2.7169e-001 2.9318e-001 3.1435e-001 3.3500e-001 3.5499e-001 3.7412e-001 3.9224e-001
 4.0918e-001 4.2477e-001 4.3889e-001 4.5143e-001 4.6232e-001 4.7155e-001 4.7914e-001
 4.8519e-001 4.8986e-001 4.9331e-001 4.9577e-001 4.9744e-001 4.9852e-001 4.9919e-001
 4.9958e-001 4.9979e-001 4.9990e-001 4.9996e-001 4.9998e-001 4.9999e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 4.9999e-001 4.9995e-001 4.9983e-001
 4.9943e-001 4.9825e-001 4.9489e-001 4.8608e-001 4.6517e-001 4.2185e-001 3.4789e-001
 2.4966e-001 1.5165e-001 7.8014e-002 3.4795e-002 1.3867e-002 5.0574e-003 1.7108e-003
 5.3924e-004 1.5810e-004 4.2831e-005 1.0596e-005 2.3499e-006 4.5305e-007 7.1654e-008
 8.1298e-009


final statistics for mf = 21:  103 steps,   122 res,    17 jacobians,
                              rwork size =  5368,  iwork size =   317
final output is correct to within 1.12e+001  times local error tolerance. 




******************************************************************************************

run with rtol = 1.0e-006  atol = 1.0e-006   mf = 22



 at time t =1.00000e-001  current h =5.75381e-003  current order = 4  current nst =   72

 at time t =2.00000e-001  current h =9.25746e-003  current order = 5  current nst =   85

 at time t =3.00000e-001  current h =1.22938e-002  current order = 5  current nst =   95

 at time t =4.00000e-001  current h =1.22938e-002  current order = 5  current nst =  103

 values of pde component i =  1
 1.7096e-003 3.4340e-003 5.1878e-003 6.9852e-003 8.8392e-003 1.0762e-002 1.2765e-002
 1.4857e-002 1.7047e-002 1.9339e-002 2.1739e-002 2.4249e-002 2.6868e-002 2.9596e-002
 3.2428e-002 3.5359e-002 3.8382e-002 4.1491e-002 4.4675e-002 4.7927e-002 5.1237e-002
 5.4596e-002 5.7995e-002 6.1427e-002 6.4885e-002 6.8363e-002 7.1856e-002 7.5360e-002
 7.8871e-002 8.2387e-002 8.5906e-002 8.9427e-002 9.2948e-002 9.6470e-002 9.9992e-002
 1.0351e-001 1.0703e-001 1.1055e-001 1.1407e-001 1.1758e-001 1.2109e-001 1.2459e-001
 1.2808e-001 1.3156e-001 1.3502e-001 1.3845e-001 1.4184e-001 1.4520e-001 1.4850e-001
 1.5174e-001 1.5490e-001 1.5798e-001 1.6095e-001 1.6380e-001 1.6652e-001 1.6910e-001
 1.7151e-001 1.7374e-001 1.7579e-001 1.7763e-001 1.7926e-001 1.8065e-001 1.8179e-001
 1.8267e-001 1.8327e-001 1.8358e-001 1.8357e-001 1.8322e-001 1.8252e-001 1.8143e-001
 1.7994e-001 1.7801e-001 1.7561e-001 1.7271e-001 1.6927e-001 1.6526e-001 1.6063e-001
 1.5536e-001 1.4940e-001 1.4272e-001 1.3530e-001 1.2715e-001 1.1831e-001 1.0891e-001
 9.9156e-002 8.9352e-002 7.9782e-002 7.0666e-002 6.2124e-002 5.4199e-002 4.6885e-002
 4.0147e-002 3.3936e-002 2.8195e-002 2.2864e-002 1.7875e-002 1.3163e-002 8.6593e-003
 4.2948e-003
 values of pde component i =  2
 7.1743e-006 1.7078e-005 3.3125e-005 6.0159e-005 1.0534e-004 1.7917e-004 2.9672e-004
 4.7886e-004 7.5360e-004 1.1571e-003 1.7342e-003 2.5385e-003 3.6310e-003 5.0780e-003
 6.9478e-003 9.3064e-003 1.2213e-002 1.5715e-002 1.9846e-002 2.4620e-002 3.0037e-002
 3.6076e-002 4.2706e-002 4.9881e-002 5.7551e-002 6.5661e-002 7.4154e-002 8.2976e-002
 9.2075e-002 1.0140e-001 1.1091e-001 1.2056e-001 1.3032e-001 1.4014e-001 1.5000e-001
 1.5985e-001 1.6968e-001 1.7943e-001 1.8908e-001 1.9860e-001 2.0792e-001 2.1702e-001
 2.2585e-001 2.3434e-001 2.4245e-001 2.5012e-001 2.5730e-001 2.6393e-001 2.6997e-001
 2.7538e-001 2.8016e-001 2.8429e-001 2.8779e-001 2.9070e-001 2.9306e-001 2.9493e-001
 2.9637e-001 2.9747e-001 2.9827e-001 2.9885e-001 2.9925e-001 2.9952e-001 2.9971e-001
 2.9982e-001 2.9990e-001 2.9994e-001 2.9996e-001 2.9998e-001 2.9997e-001 2.9996e-001
 2.9993e-001 2.9985e-001 2.9971e-001 2.9944e-001 2.9894e-001 2.9804e-001 2.9644e-001
 2.9368e-001 2.8904e-001 2.8142e-001 2.6932e-001 2.5087e-001 2.2446e-001 1.8989e-001
 1.4990e-001 1.0993e-001 7.5404e-002 4.9026e-002 3.0608e-002 1.8516e-002 1.0910e-002
 6.2772e-003 3.5300e-003 1.9405e-003 1.0422e-003 5.4597e-004 2.7739e-004 1.3335e-004
 5.3268e-005
 values of pde component i =  3
 1.9160e-010 1.9732e-009 1.1907e-008 5.5465e-008 2.1827e-007 7.5580e-007 2.3560e-006
 6.7081e-006 1.7623e-005 4.3036e-005 9.8259e-005 2.1074e-004 4.2621e-004 8.1565e-004
 1.4816e-003 2.5619e-003 4.2285e-003 6.6808e-003 1.0132e-002 1.4790e-002 2.0842e-002
 2.8433e-002 3.7657e-002 4.8550e-002 6.1093e-002 7.5220e-002 9.0822e-002 1.0776e-001
 1.2589e-001 1.4503e-001 1.6503e-001 1.8569e-001 2.0686e-001 2.2836e-001 2.5002e-001
 2.7169e-001 2.9318e-001 3.1435e-001 3.3500e-001 3.5499e-001 3.7412e-001 3.9224e-001
 4.0918e-001 4.2477e-001 4.3889e-001 4.5143e-001 4.6232e-001 4.7155e-001 4.7914e-001
 4.8519e-001 4.8986e-001 4.9331e-001 4.9577e-001 4.9744e-001 4.9852e-001 4.9919e-001
 4.9958e-001 4.9979e-001 4.9990e-001 4.9996e-001 4.9998e-001 4.9999e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001
 5.0000e-001 5.0000e-001 5.0000e-001 5.0000e-001 4.9999e-001 4.9995e-001 4.9983e-001
 4.9943e-001 4.9825e-001 4.9489e-001 4.8608e-001 4.6517e-001 4.2185e-001 3.4789e-001
 2.4966e-001 1.5165e-001 7.8014e-002 3.4795e-002 1.3867e-002 5.0575e-003 1.7108e-003
 5.3924e-004 1.5810e-004 4.2831e-005 1.0596e-005 2.3499e-006 4.5302e-007 7.1610e-008
 8.1021e-009


final statistics for mf = 22:  103 steps,   292 res,    17 jacobians,
                              rwork size =  5368,  iwork size =   317
final output is correct to within 1.15e+001  times local error tolerance. 


******************************************************************************************

run completed:   0 errors encountered
rc= 0
** odrpack/odrtest.f

 example  1

 test simple odr problem
 with analytic derivatives using dodr.
 data set reference:  draper and smith, 1981, exercise i, page 521-522                               
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of odr ***

 --- problem size:
            n =     8          (number with nonzero weight =     8)
           nq =     1
            m =     2
           np =     2          (number unfixed =     2)

 --- control values:
          job =    20
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are initialized to zero.
                       c=0 ==> covariance matrix will be computed using
                               derivatives re-evaluated at the solution.
                       d=2 ==> derivatives are supplied by user.
                               derivatives were checked.
                               results appear correct.
                       e=0 ==> method is explicit odr.
       ndigit =    16          (estimated by odrpack)
       taufac =    1.00e+000

 --- stopping criteria:
        sstol =    1.49e-008   (sum of squares stopping tolerance)
       partol =    3.67e-011   (parameter stopping tolerance)
        maxit =    50          (maximum number of iterations)

 --- initial weighted sum of squares        =                   6.76620105e-001
         sum of squared weighted deltas     =  0.00000000e+000
         sum of squared weighted epsilons   =  6.76620105e-001

 --- function parameter summary:

       index         beta(k)    fixed           scale              
                                                                   
         (k)                  (ifixb)          (sclb)              

           1 1.15500000e-002       no 8.65800866e+001              
           2 5.00000000e+003       no 2.00000000e-004              

 --- explanatory variable and delta weight summary:

       index      x(i,j)  delta(i,j)    fixed     scale    weight              
                                                                               
       (i,j)                          (ifixx)    (scld)      (wd)              

         1,1  1.090e+002  0.000e+000       no 9.17e-003 1.00e+000              
         n,1  6.800e+001  0.000e+000       no 1.47e-002 1.00e+000              
 
         1,2  6.000e+002  0.000e+000       no 1.56e-003 1.00e+000              
         n,2  6.400e+002  0.000e+000       no 1.56e-003 1.00e+000              

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1  9.120e-001  1.000e+000    
         n,1  3.760e-001  1.000e+000    

 *** iteration reports for fit by method of odr ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    1      18 1.96944e-001  7.0893e-001  4.1620e-001 1.510e+000   yes       
    2      19 1.86553e-003  9.9053e-001  9.9572e-001 6.711e-001   yes       
    3      20 7.53265e-004  5.9622e-001  5.9632e-001 4.625e-002   yes       
    4      21 7.53264e-004  7.5670e-007  7.5713e-007 2.259e-005   yes       
    5      22 7.53264e-004  3.2507e-013  3.3214e-013 1.810e-008   yes       

 *** final summary for fit by method of odr ***

 --- stopping conditions:
         info =     1 ==> sum of squares convergence.
        niter =     5          (number of iterations)
         nfev =    22          (number of function evaluations)
         njev =     6          (number of jacobian evaluations)
        irank =     0          (rank deficiency)
        rcond =    8.70e-002   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                    7.53263957e-004
         sum of squared weighted deltas   =   5.82361429e-007
         sum of squared weighted epsilons =   7.52681595e-004

 --- residual standard deviation          =                    1.12046416e-002
         degrees of freedom               =    6

 --- estimated beta(j), j = 1, ..., np:

                     beta      s.d. beta    ---- 95onfidence interval ----

       1  3.65797302e-003    4.2218e-005    3.55466818e-003 to 3.76127786e-003
       2  2.76273320e+004    2.2245e+002    2.70830140e+004 to 2.81716499e+004

 --- estimated epsilon(i) and delta(i,*), i = 1, ..., n:
\n         i    epsilon(i,1)      delta(i,1)      delta(i,2)\n
         1 1.67519647e-003 1.26771981e-006 1.06044027e-005
         2 2.04207811e-003 1.15465196e-005 5.06224853e-005
         3-2.06741955e-002-6.44374753e-006-5.83522780e-004
         4 2.42895060e-003 1.35332858e-005 6.02457198e-005
         5 7.27227474e-003 2.10381027e-006 2.05043707e-004
         6 4.07668337e-003 2.17324633e-005 1.01143283e-004
         7 1.30331782e-002 3.89740068e-006 3.67888393e-004
         8-8.54482325e-003-4.62274242e-005-2.12025259e-004

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
               2.762733195780257e+004               7.532639569022919e-004     1

 new test result      =  
               2.762733195759231e+004               7.532639569023404e-004     1

 difference           =  2.10264e-007                         4.84638e-017

 relative error       =  7.61073e-012                         6.43385e-014


 *** results agree to within stopping tolerance. ***



 example  2

 test simple ols problem
 with finite difference derivatives using dodr.
 data set reference:  draper and smith, 1981, exercise i, page 521-522                               
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of ols ***

 --- problem size:
            n =     8          (number with nonzero weight =     8)
           nq =     1
            m =     2
           np =     2          (number unfixed =     2)

 --- control values:
          job =     2
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are fixed at zero since e=2.
                       c=0 ==> covariance matrix will be computed using
                               derivatives re-evaluated at the solution.
                       d=0 ==> derivatives are estimated by forward differences.
                       e=2 ==> method is explicit ols.
       ndigit =    16          (estimated by odrpack)
       taufac =    1.00e+000

 --- stopping criteria:
        sstol =    1.49e-008   (sum of squares stopping tolerance)
       partol =    3.67e-011   (parameter stopping tolerance)
        maxit =    50          (maximum number of iterations)

 --- initial weighted sum of squares        =                   6.76620105e-001

 --- function parameter summary:

       index         beta(k)    fixed           scale    derivative
                                                          step size
         (k)                  (ifixb)          (sclb)        (stpb)

           1 1.15500000e-002       no 8.65800866e+001  1.00000e-010
           2 5.00000000e+003       no 2.00000000e-004  1.00000e-010

 --- explanatory variable summary:

       index      x(i,j)
       (i,j)            

         1,1  1.090e+002
         n,1  6.800e+001
 
         1,2  6.000e+002
         n,2  6.400e+002

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1  9.120e-001  1.000e+000    
         n,1  3.760e-001  1.000e+000    

 *** iteration reports for fit by method of ols ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    1       8 1.96943e-001  7.0893e-001  4.1620e-001 1.510e+000   yes       
    2      11 1.86598e-003  9.9053e-001  9.9572e-001 6.711e-001   yes       
    3      14 7.53847e-004  5.9600e-001  5.9610e-001 4.625e-002   yes       
    4      17 7.53847e-004  3.6729e-007  3.6713e-007 2.239e-005   yes       
    5      20 7.53847e-004 -1.0245e-012  2.7309e-013 1.842e-009   yes       

 *** final summary for fit by method of ols ***

 --- stopping conditions:
         info =     1 ==> sum of squares convergence.
        niter =     5          (number of iterations)
         nfev =    22          (number of function evaluations)
        irank =     0          (rank deficiency)
        rcond =    8.70e-002   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                    7.53846772e-004

 --- residual standard deviation          =                    1.12089754e-002
         degrees of freedom               =    6

 --- estimated beta(j), j = 1, ..., np:

                     beta      s.d. beta    ---- 95onfidence interval ----

       1  3.65797263e-003    4.2220e-005    3.55466514e-003 to 3.76128013e-003
       2  2.76273264e+004    2.2246e+002    2.70829949e+004 to 2.81716578e+004

 --- estimated epsilon(i,  1), i = 1, ..., n:

           index           value -------------->

       1 to    4 1.67524862e-003 2.04354056e-003-2.06907384e-002 2.43066262e-003
       5 to    8 7.27798562e-003 4.07945098e-003 1.30434927e-002-8.55019200e-003

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
               2.762732630143673e+004               7.538467722687131e-004     1

 new test result      =  
               2.762732638673554e+004               7.538467722691078e-004     1

 difference           =  8.52988e-005                         3.94650e-016

 relative error       =  3.08748e-009                         5.23514e-013


 *** results agree to within stopping tolerance. ***



 example  3

 test parameter fixing capabilities for poorly scaled ols problem
 with analytic derivatives using dodrc.
 data set reference:  boggs, byrd and schnabel, 1985, example 3                                      
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of ols ***

 --- problem size:
            n =    44          (number with nonzero weight =    44)
           nq =     1
            m =     1
           np =     9          (number unfixed =     4)

 --- control values:
          job =    42
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are fixed at zero since e=2.
                       c=0 ==> covariance matrix will be computed using
                               derivatives re-evaluated at the solution.
                       d=4 ==> derivatives are supplied by user.
                               derivatives were not checked.
                       e=2 ==> method is explicit ols.
       ndigit =    16          (estimated by odrpack)
       taufac =    1.00e+000

 --- stopping criteria:
        sstol =    1.49e-008   (sum of squares stopping tolerance)
       partol =    3.67e-011   (parameter stopping tolerance)
        maxit =    50          (maximum number of iterations)

 --- initial weighted sum of squares        =                   7.28536065e+016

 --- function parameter summary:

       index         beta(k)    fixed           scale              
                                                                   
         (k)                  (ifixb)          (sclb)              

           1 2.81887509e-006       no 3.54751440e+005              
           2-2.31290549e-003       no 4.32356620e+002              
           3 5.83035556e+000       no 1.71516126e-001              
           4 0.00000000e+000      yes 3.54751440e+006              
           5 4.06910776e+007       no 2.45754121e-008              
           6 1.38001105e-003      yes 7.24631878e+002              
           7 5.96038513e-002      yes 1.67774393e+001              
           8 6.70582099e+000      yes 1.49124172e-001              
           9 1.06994410e+009      yes 9.34628267e-010              

 --- explanatory variable summary:

       index      x(i,j)
       (i,j)            

         1,1  2.500e-009
         n,1  1.000e+000

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1  9.882e-001  1.000e+000    
         n,1  9.473e-001  1.000e+000    

 *** iteration reports for fit by method of ols ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    1       6 1.21281e-005  1.0000e+000  1.0000e+000 1.492e+000   yes       
    2       7 1.21281e-005  9.5536e-011  9.5522e-011 5.559e-006   yes       

 *** final summary for fit by method of ols ***

 --- stopping conditions:
         info =     1 ==> sum of squares convergence.
        niter =     2          (number of iterations)
         nfev =     7          (number of function evaluations)
         njev =     3          (number of jacobian evaluations)
        irank =     0          (rank deficiency)
        rcond =    1.29e-011   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                    1.21280859e-005

 --- residual standard deviation          =                    5.50637947e-004
         degrees of freedom               =   40

 --- estimated beta(j), j = 1, ..., np:

                     beta      s.d. beta    ---- 95onfidence interval ----

       1  2.38645545e-006    4.4960e-007    1.47777105e-006 to 3.29513984e-006
       2 -2.20450067e-003    4.0156e-005   -2.28565970e-003 to-2.12334164e-003
       3  3.82273198e+000    3.8316e-002    3.74529214e+000 to 3.90017183e+000
       4  0.00000000e+000          fixed
       5  4.53364001e-001    5.2741e-003    4.42704540e-001 to 4.64023461e-001
       6  1.38001105e-003          fixed
       7  5.96038513e-002          fixed
       8  6.70582099e+000          fixed
       9  1.06994410e+009          fixed

 --- estimated epsilon(i,  1), i = 1, ..., n:

           index           value -------------->

       1 to    4-5.85324109e-005-9.89224867e-005-1.71864030e-004-2.11456078e-004
       5 to    8-1.06612999e-004-1.60370107e-004-1.43278823e-004-1.34968263e-004
       9 to   12-1.60812918e-004-1.51389652e-004-1.19183078e-004-2.93209254e-005
      13 to   16 1.08239237e-006 7.94004452e-005 1.18795055e-004 3.21769268e-004
      17 to   20 4.09322682e-004 4.95327906e-004 6.44709193e-004 7.10211016e-004
      21 to   24 6.96631790e-004 6.54863075e-004 4.84585766e-004 2.18339263e-004
      25 to   28 1.85543339e-005-5.72168484e-006-6.98195693e-005-5.27688631e-005
      29 to   32-3.09355634e-004-6.82422839e-004-1.05015195e-003-1.24256230e-003
      33 to   36-1.18147768e-003-9.69898761e-004-3.02918582e-004 5.21338703e-004
      37 to   40 9.05536868e-004 1.11473330e-003 7.90515099e-004 3.26581432e-004
      41 to   44-3.27114252e-004-2.76556749e-004-5.87219618e-004 9.24026601e-005

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
               1.069944100000000e+009               1.212808593256056e-005     3

 new test result      =  
               1.069944100000000e+009               1.212808593255996e-005     1

 difference           =  0.00000e+000                         6.01393e-019

 relative error       =  0.00000e+000                         4.95868e-014


 *** results agree to within stopping tolerance. ***



 example  4

 test weighting capabilities for odr problem
 with analytic derivatives using dodrc. 
 also shows solution of poorly scaled odr problem.
 (derivative checking turned off.)
 data set reference:  boggs, byrd and schnabel, 1985, example 3                                      
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of odr ***

 --- problem size:
            n =    44          (number with nonzero weight =    43)
           nq =     1
            m =     1
           np =     9          (number unfixed =     6)

 --- control values:
          job =    30
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are initialized to zero.
                       c=0 ==> covariance matrix will be computed using
                               derivatives re-evaluated at the solution.
                       d=3 ==> derivatives are supplied by user.
                               derivatives were not checked.
                       e=0 ==> method is explicit odr.
       ndigit =    16          (estimated by odrpack)
       taufac =    1.00e+000

 --- stopping criteria:
        sstol =    1.49e-008   (sum of squares stopping tolerance)
       partol =    3.67e-011   (parameter stopping tolerance)
        maxit =    50          (maximum number of iterations)

 --- initial weighted sum of squares        =                   1.21253014e-005
         sum of squared weighted deltas     =  0.00000000e+000
         sum of squared weighted epsilons   =  1.21253014e-005

 --- function parameter summary:

       index         beta(k)    fixed           scale              
                                                                   
         (k)                  (ifixb)          (sclb)              

           1 2.38645545e-006       no 4.19031498e+005              
           2-2.20450067e-003       no 4.53617462e+002              
           3 3.82273198e+000       no 2.61593019e-001              
           4 0.00000000e+000      yes 4.19031498e+006              
           5 4.53364001e-001       no 2.20573314e+000              
           6 1.38001105e-003       no 7.24631878e+002              
           7 5.96038513e-002       no 1.67774393e+001              
           8 6.70582099e+000      yes 1.49124172e-001              
           9 1.06994410e+009      yes 9.34628267e-010              

 --- explanatory variable and delta weight summary:

       index      x(i,j)  delta(i,j)    fixed     scale    weight              
                                                                               
       (i,j)                          (ifixx)    (scld)      (wd)              

         1,1  2.500e-009  0.000e+000       no 4.00e+008 1.60e+013              
         n,1  1.000e+000  0.000e+000       no 1.00e+000 1.00e-004              

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1  9.882e-001  1.000e+000    
         n,1  9.473e-001  1.000e+000    

 *** iteration reports for fit by method of odr ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n      beta -------------->
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step     index           value
 ----  ------  -----------  -----------  -----------  ---------  ----     -----           -----

    1       8 5.61552e-006  5.3688e-001  6.0227e-001 1.254e-001    no   1 to  3 2.61670550e-006-1.84847540e-003 3.81743723e+000
                                                                        4 to  6 0.00000000e+000 4.52780748e-001 1.17294940e-003
                                                                        7 to  9 5.14825868e-002 6.70582099e+000 1.06994410e+009
    4      14 1.20726e-006  3.8806e-001  4.3619e-001 1.718e-001    no   1 to  3 4.42164742e-006-1.27576009e-003 3.52384009e+000
                                                                        4 to  6 0.00000000e+000 4.92690445e-001 1.19191347e-003
                                                                        7 to  9 3.79861567e-002 6.70582099e+000 1.06994410e+009
    7      20 7.87180e-007  9.9505e-002  1.1349e-001 1.097e-001    no   1 to  3 7.45301071e-006-1.19673931e-003 3.48901832e+000
                                                                        4 to  6 0.00000000e+000 4.97376025e-001 1.65051648e-003
                                                                        7 to  9 3.53474898e-002 6.70582099e+000 1.06994410e+009
   10      25 6.28791e-007  8.1375e-002  1.1318e-001 1.295e-001    no   1 to  3 1.15483151e-005-1.13356151e-003 3.45980744e+000
                                                                        4 to  6 0.00000000e+000 5.01308411e-001 2.15310228e-003
                                                                        7 to  9 3.30381120e-002 6.70582099e+000 1.06994410e+009
   13      28 5.58511e-007  2.2830e-002  3.5267e-002 9.439e-002    no   1 to  3 1.64242675e-005-1.08860021e-003 3.43773581e+000
                                                                        4 to  6 0.00000000e+000 5.04280654e-001 2.62714475e-003
                                                                        7 to  9 3.12106008e-002 6.70582099e+000 1.06994410e+009
   16      31 5.45208e-007  4.9324e-003  4.9324e-003 4.697e-003   yes   1 to  3 1.95894709e-005-1.06852377e-003 3.42732564e+000
                                                                        4 to  6 0.00000000e+000 5.05682583e-001 2.88788569e-003
                                                                        7 to  9 3.03155365e-002 6.70582099e+000 1.06994410e+009

 *** final summary for fit by method of odr ***

 --- stopping conditions:
         info =     1 ==> sum of squares convergence.
        niter =    17          (number of iterations)
         nfev =    32          (number of function evaluations)
         njev =    18          (number of jacobian evaluations)
        irank =     0          (rank deficiency)
        rcond =    1.47e-005   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                    5.45208463e-007
         sum of squared weighted deltas   =   3.42359109e-007
         sum of squared weighted epsilons =   2.02849354e-007

 --- residual standard deviation          =                    1.21389307e-004
         degrees of freedom               =   37

 --- estimated beta(j), j = 1, ..., np:

                     beta      s.d. beta    ---- 95onfidence interval ----

       1  1.95896506e-005    5.2652e-006    8.92132429e-006 to 3.02579770e-005
       2 -1.06852151e-003    4.0956e-005   -1.15150733e-003 to-9.85535692e-004
       3  3.42732422e+000    3.3460e-002    3.35952743e+000 to 3.49512102e+000
       4  0.00000000e+000          fixed
       5  5.05682776e-001    4.6737e-003    4.96213014e-001 to 5.15152539e-001
       6  2.88789682e-003    4.2486e-004    2.02704328e-003 to 3.74875036e-003
       7  3.03154590e-002    1.5303e-003    2.72147165e-002 to 3.34162015e-002
       8  6.70582099e+000          fixed
       9  1.06994410e+009          fixed

 --- estimated epsilon(i) and delta(i,*), i = 1, ..., n:
\n         i    epsilon(i,1)      delta(i,1)\n
         1 8.85704614e-005 6.98843476e-018
         2 4.81782606e-005 2.49126529e-017
         3-2.47652440e-005-3.12643640e-017
         4-6.44008812e-005-6.58477834e-015
         5 3.99462567e-005 5.03680509e-013
         6-1.54472294e-005-3.10491252e-012
         7-1.08794814e-006-1.10028017e-012
         8 3.38839665e-006 1.07375440e-011
         9-3.34647877e-005-5.23790915e-010
        10-3.95633534e-005-1.89047768e-009
        11-2.74448529e-005-3.06142579e-009
        12 3.77539089e-005 8.26372134e-009
        13 2.28560536e-005 1.10178971e-008
        14 5.82190084e-006 7.03986833e-009
        15-6.81553078e-005-1.45785334e-007
        16 1.37311975e-005 3.83594668e-008
        17-1.58688240e-005-3.81391617e-008
        18-3.32724245e-005 1.87300323e-010
        19 3.37523234e-005-1.85167391e-007
        20 4.22264215e-005-6.36459049e-007
        21-3.75576871e-006 1.88580887e-007
        22 2.00621152e-005-2.22759156e-006
        23-5.50627156e-006 1.10401389e-006
        24-6.88013739e-005 2.19196573e-005
        25-5.04979294e-005 2.33881198e-005
        26 2.10761672e-005-1.14828512e-005
        27 5.74011372e-005-3.62530551e-005
        28 3.02389774e-004 0.00000000e+000
        29 1.74166008e-004-1.77161571e-004
        30 1.98064654e-005-2.39431909e-005
        31-7.90410048e-005 1.24670749e-004
        32-1.47683404e-004 2.76450567e-004
        33-1.12277273e-004 2.31472249e-004
        34-4.79553114e-005 9.93157475e-005
        35 1.40511415e-004-1.42581252e-004
        36 1.62614218e-004 7.17271525e-004
        37 1.08724514e-004 1.23259791e-003
        38-1.15956129e-005-4.16815657e-004
        39-6.38721344e-005-4.42575705e-003
        40-1.03209160e-004-9.45381806e-003
        41-9.34250030e-005-1.39895132e-002
        42-1.23336490e-005-3.09254631e-003
        43 1.69666481e-005 6.57971401e-003
        44 6.58708761e-005 3.70510371e-002

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
               1.069944100000000e+009               5.452084633790606e-007     1

 new test result      =  
               1.069944100000000e+009               5.452084633791507e-007     1

 difference           =  0.00000e+000                         9.01031e-020

 relative error       =  0.00000e+000                         1.65264e-013


 *** results agree to within stopping tolerance. ***



 example  5

 test delta initialization capabilities
 and use of istop to restrict parameter values for odr problem
 with analytic derivatives using dodrc.
 data set reference:  boggs, byrd and schnabel, 1985, example 1                                      
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of odr ***

 --- problem size:
            n =    40          (number with nonzero weight =    40)
           nq =     1
            m =     1
           np =     2          (number unfixed =     2)

 --- control values:
          job =  1020
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=1 ==> deltas are initialized by user.
                       c=0 ==> covariance matrix will be computed using
                               derivatives re-evaluated at the solution.
                       d=2 ==> derivatives are supplied by user.
                               derivatives were checked.
                               results appear correct.
                       e=0 ==> method is explicit odr.
       ndigit =    16          (estimated by odrpack)
       taufac =    1.00e+000

 --- stopping criteria:
        sstol =    1.49e-008   (sum of squares stopping tolerance)
       partol =    3.67e-011   (parameter stopping tolerance)
        maxit =    50          (maximum number of iterations)

 --- initial weighted sum of squares        =                   2.13003002e+002
         sum of squared weighted deltas     =  2.22998645e-003
         sum of squared weighted epsilons   =  2.13000772e+002

 --- function parameter summary:

       index         beta(k)    fixed           scale              
                                                                   
         (k)                  (ifixb)          (sclb)              

           1 1.00000000e+000       no 2.00000000e-001              
           2 1.00000000e+000       no 1.00000000e+000              

 --- explanatory variable and delta weight summary:

       index      x(i,j)  delta(i,j)    fixed     scale    weight              
                                                                               
       (i,j)                          (ifixx)    (scld)      (wd)              

         1,1 -2.137e-002  0.000e+000       no 2.00e+000 1.00e+000              
         n,1  1.993e+000  0.000e+000       no 2.00e+000 1.00e+000              

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1 -1.196e+000  1.000e+000    
         n,1  1.262e+000  1.000e+000    

 *** iteration reports for fit by method of odr ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    1      15 2.61860e+001  8.7706e-001  9.9181e-001 7.180e-002    no       
    2      19 2.69487e+000  8.9709e-001  9.5185e-001 5.373e-002    no       
    3      22 1.14955e+000  5.7343e-001  5.8129e-001 2.076e-002    no       
    4      24 1.09672e+000  4.5960e-002  4.6016e-002 4.042e-003    no       
    5      26 1.08906e+000  6.9802e-003  6.9780e-003 8.578e-004    no       
    6      29 1.08621e+000  2.6219e-003  2.6215e-003 3.355e-004    no       
    7      32 1.08509e+000  1.0280e-003  1.0280e-003 1.332e-004    no       
    8      34 1.08487e+000  2.0456e-004  2.0456e-004 2.659e-005    no       
    9      37 1.08478e+000  8.1706e-005  8.1705e-005 1.063e-005    no       
   10      40 1.08475e+000  3.2663e-005  3.2663e-005 4.252e-006    no       
   11      43 1.08473e+000  1.3062e-005  1.3062e-005 1.700e-006    no       
   12      44 1.08473e+000  1.3062e-006  1.3062e-006 1.700e-007    no       
   13      48 1.08473e+000  1.0449e-006  1.0449e-006 1.360e-007    no       
   14      49 1.08473e+000  1.0449e-007  1.0449e-007 1.360e-008    no       
   15      52 1.08473e+000  4.1797e-008  4.1797e-008 5.441e-009    no       
   16      55 1.08473e+000  1.6719e-009  1.6719e-009 2.177e-010    no       

 *** final summary for fit by method of odr ***

 --- stopping conditions:
         info =     1 ==> sum of squares convergence.
        niter =    16          (number of iterations)
         nfev =    55          (number of function evaluations)
         njev =    17          (number of jacobian evaluations)
        irank =     0          (rank deficiency)
        rcond =    4.55e-001   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                    1.08472869e+000
         sum of squared weighted deltas   =   8.40017240e-003
         sum of squared weighted epsilons =   1.07632852e+000

 --- residual standard deviation          =                    1.68954111e-001
         degrees of freedom               =   38

 --- estimated beta(j), j = 1, ..., np:

                     beta      s.d. beta    ---- 95onfidence interval ----

       1  1.01000000e+000    5.4611e-002    8.99445893e-001 to 1.12055411e+000
       2  1.00806508e+000    2.8682e-002    9.50000743e-001 to 1.06612941e+000

 --- estimated epsilon(i) and delta(i,*), i = 1, ..., n:
\n         i    epsilon(i,1)      delta(i,1)\n
         1 2.13840659e-001 7.72546758e-004
         2 2.25560304e-001 9.41129554e-004
         3 1.04497486e-001 5.45425660e-004
         4-1.50874326e-001-6.68930741e-004
         5-2.53059717e-001-1.47995790e-003
         6 1.00819860e-001 7.61395327e-004
         7-2.08153575e-001-1.47827218e-003
         8-2.07020851e-002-6.56435112e-005
         9 8.29941689e-002 9.01373708e-004
        10 8.32053215e-002 1.31278062e-003
        11-2.74508126e-002-1.60088981e-004
        12-2.31693881e-002-9.77002251e-005
        13 2.80662023e-001 6.40983340e-003
        14-2.33380568e-001-8.18107398e-003
        15 2.90886301e-001 1.07469430e-002
        16 5.51250039e-004 2.30850838e-003
        17-8.54153789e-003 2.87442762e-003
        18-3.14043264e-002-2.69146898e-002
        19-2.33002803e-002-4.35952599e-002
        20-1.25678379e-003 5.32820350e-002
        21-1.97974568e-005 2.03929764e-002
        22 1.61303539e-003-3.27077555e-003
        23 2.03791618e-002 4.03459318e-002
        24 3.79059604e-002 2.89275631e-003
        25 1.15361308e-001 1.53906991e-002
        26-1.59261060e-001-1.09534748e-002
        27-4.08298033e-001-1.48581627e-002
        28 1.32135752e-001 3.24792549e-003
        29 1.05612345e-001 2.07767148e-003
        30 9.18128552e-002 1.14522968e-003
        31-5.70692650e-002-1.03708418e-003
        32 3.58111933e-001 4.54918829e-003
        33 1.95909122e-001 2.02871320e-003
        34-1.92950972e-001-1.76449168e-003
        35-1.71485464e-002-2.84782108e-004
        36-1.37149959e-001-9.97503592e-004
        37-2.06598358e-001-1.25925941e-003
        38 3.24011770e-002 1.01793800e-004
        39 1.54243454e-001 5.78989068e-004
        40-2.35594637e-001-9.23080829e-004

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
               1.426988156377259e+000               1.084728687127432e+000     1

 new test result      =  
               1.426988156353227e+000               1.084728687476405e+000     1

 difference           =  2.40321e-011                         3.48973e-010

 relative error       =  1.68411e-011                         3.21715e-010


 *** results agree to within stopping tolerance. ***



 example  6

 test stiff stopping conditions for unscaled odr problem
 with analytic derivatives using dodrc.
 data set reference:  himmelblau, 1970, example 6.2-4, page 188                                      
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of odr ***

 --- problem size:
            n =    13          (number with nonzero weight =    13)
           nq =     1
            m =     2
           np =     3          (number unfixed =     3)

 --- control values:
          job =    20
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are initialized to zero.
                       c=0 ==> covariance matrix will be computed using
                               derivatives re-evaluated at the solution.
                       d=2 ==> derivatives are supplied by user.
                               derivatives were checked.
                               results appear correct.
                       e=0 ==> method is explicit odr.
       ndigit =    16          (estimated by odrpack)
       taufac =    1.00e+000

 --- stopping criteria:
        sstol =    2.22e-014   (sum of squares stopping tolerance)
       partol =    2.22e-016   (parameter stopping tolerance)
        maxit =     2          (maximum number of iterations)

 --- initial weighted sum of squares        =                   1.79305083e-001
         sum of squared weighted deltas     =  0.00000000e+000
         sum of squared weighted epsilons   =  1.79305083e-001

 --- function parameter summary:

       index         beta(k)    fixed           scale              
                                                                   
         (k)                  (ifixb)          (sclb)              

           1 3.00000000e+000       no 3.33333333e-001              
           2 3.00000000e+000       no 3.33333333e-001              
           3-5.00000000e-001       no 3.33333333e-001              

 --- explanatory variable and delta weight summary:

       index      x(i,j)  delta(i,j)    fixed     scale    weight              
                                                                               
       (i,j)                          (ifixx)    (scld)      (wd)              

         1,1  0.000e+000  0.000e+000       no 1.00e+001 1.00e+000              
         n,1  2.900e+000  0.000e+000       no 3.45e-001 1.00e+000              
 
         1,2  0.000e+000  0.000e+000       no 1.00e+001 1.00e+000              
         n,2  1.800e+000  0.000e+000       no 3.33e-001 1.00e+000              

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1  2.930e+000  1.000e+000    
         n,1  9.810e+000  1.000e+000    

 *** iteration reports for fit by method of odr ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    1      21 1.48223e-002  9.1733e-001  9.1674e-001 1.050e+000   yes       
    2      22 1.47797e-002  2.8741e-003  2.8968e-003 2.693e-002   yes       

 *** final summary for fit by method of odr ***

 --- stopping conditions:
         info =     4 ==> iteration limit reached.
        niter =     2          (number of iterations)
         nfev =    22          (number of function evaluations)
         njev =     3          (number of jacobian evaluations)
        irank =     0          (rank deficiency)
        rcond =    2.28e-001   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                    1.47796721e-002
         sum of squared weighted deltas   =   1.33891597e-002
         sum of squared weighted epsilons =   1.39051238e-003

 --- residual standard deviation          =                    3.84443391e-002
         degrees of freedom               =   10

 --- estimated beta(j), j = 1, ..., np:

                     beta      s.d. beta    ---- 95onfidence interval ----

       1  3.02127269e+000    3.6888e-002    2.93902959e+000 to 3.10351579e+000
       2  2.95883347e+000    8.3319e-002    2.77306895e+000 to 3.14459799e+000
       3 -5.25432714e-001    3.0453e-002   -5.93328437e-001 to-4.57536992e-001

 --- estimated epsilon(i) and delta(i,*), i = 1, ..., n:
\n         i    epsilon(i,1)      delta(i,1)      delta(i,2)\n
         1 2.30719900e-003-6.95012295e-003 3.55910649e-003
         2-1.82563237e-002 5.51320253e-002-1.69143244e-002
         3 2.15864761e-002-6.50743998e-002 1.16586122e-002
         4 3.12413384e-003-9.35402855e-003 9.99213291e-004
         5 6.40415322e-003-1.93295345e-002 9.86829589e-003
         6 2.82279358e-003-8.48602806e-003 2.57756334e-003
         7-1.19110059e-002 3.59974322e-002-6.51316549e-003
         8 5.71926168e-004-1.67110502e-003 3.01261303e-004
         9-2.29090591e-003 6.89012388e-003-3.54298530e-003
        10-5.27479950e-003 1.59368352e-002-4.86034770e-003
        11-1.37120696e-002 4.14217198e-002-7.49927629e-003
        12 8.43418310e-003-2.54123018e-002 4.57142724e-003
        13 9.63073868e-003-2.90305923e-002 5.79461938e-003

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
               4.261321829513979e+000               1.477967210398421e-002     4

 new test result      =  
               4.261321829513979e+000               1.477967210398420e-002     4

 difference           =  0.00000e+000                         1.21431e-017

 relative error       =  0.00000e+000                         8.21606e-016

 *** stopping conditions show convergence not attained. ***
        no further comparisons made between results.



 example  7

 test restart for unscaled odr problem
 with analytic derivatives using dodrc.
 data set reference:  himmelblau, 1970, example 6.2-4, page 188                                      
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of odr ***

 --- problem size:
            n =    13          (number with nonzero weight =    13)
           nq =     1
            m =     2
           np =     3          (number unfixed =     3)

 --- control values:
          job = 20220
              = abcde, where
                       a=2 ==> fit is a restart.
                       b=0 ==> deltas are initialized to zero.
                       c=2 ==> covariance matrix will not be computed.
                       d=2 ==> derivatives are supplied by user.
                               derivatives were checked.
                               results appear correct.
                       e=0 ==> method is explicit odr.
       ndigit =    16          (estimated by odrpack)
       taufac =    1.00e+000

 --- stopping criteria:
        sstol =    2.22e-014   (sum of squares stopping tolerance)
       partol =    2.22e-016   (parameter stopping tolerance)
        maxit =    52          (maximum number of iterations)

 --- initial weighted sum of squares        =                   1.47796721e-002
         sum of squared weighted deltas     =  1.33891597e-002
         sum of squared weighted epsilons   =  1.39051238e-003

 --- function parameter summary:

       index         beta(k)    fixed           scale              
                                                                   
         (k)                  (ifixb)          (sclb)              

           1 3.02127269e+000       no 3.33333333e-001              
           2 2.95883347e+000       no 3.33333333e-001              
           3-5.25432714e-001       no 3.33333333e-001              

 --- explanatory variable and delta weight summary:

       index      x(i,j)  delta(i,j)    fixed     scale    weight              
                                                                               
       (i,j)                          (ifixx)    (scld)      (wd)              

         1,1  0.000e+000 -6.950e-003       no 1.00e+001 1.00e+000              
         n,1  2.900e+000 -2.903e-002       no 3.45e-001 1.00e+000              
 
         1,2  0.000e+000  3.559e-003       no 1.00e+001 1.00e+000              
         n,2  1.800e+000  5.795e-003       no 3.33e-001 1.00e+000              

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1  2.930e+000  1.000e+000    
         n,1  9.810e+000  1.000e+000    

 *** iteration reports for fit by method of odr ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    3      23 1.47797e-002  7.3362e-007  7.4861e-007 8.411e-004   yes       
    4      24 1.47797e-002  4.5525e-010  4.6927e-010 2.427e-005   yes       
    5      25 1.47797e-002  4.3676e-013  4.5367e-013 7.007e-007   yes       
    6      26 1.47797e-002 -4.4409e-016  4.7183e-016 3.932e-008   yes       

 *** final summary for fit by method of odr ***

 --- stopping conditions:
         info =     1 ==> sum of squares convergence.
        niter =     6          (number of iterations)
         nfev =    26          (number of function evaluations)
         njev =     7          (number of jacobian evaluations)
        irank =     0          (rank deficiency)
        rcond =    2.28e-001   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                    1.47796613e-002
         sum of squared weighted deltas   =   1.33923007e-002
         sum of squared weighted epsilons =   1.38736052e-003

 --- estimated beta(j), j = 1, ..., np:

           index           value -------------->

       1 to    3 3.02122470e+000 2.95882000e+000-5.25382882e-001

     n.b. no parameters were fixed by the user or dropped at the last
          iteration because they caused the model to be rank deficient.

 --- estimated epsilon(i) and delta(i,*), i = 1, ..., n:
\n         i    epsilon(i,1)      delta(i,1)      delta(i,2)\n
         1 2.29869896e-003-6.94488617e-003 3.56666901e-003
         2-1.82412531e-002 5.51109249e-002-1.69175852e-002
         3 2.15545172e-002-6.51210406e-002 1.16448521e-002
         4 3.10769693e-003-9.38905084e-003 9.98372578e-004
         5 6.39050562e-003-1.93071537e-002 9.88268155e-003
         6 2.81290085e-003-8.49840563e-003 2.58219389e-003
         7-1.19105689e-002 3.59845053e-002-6.49632094e-003
         8 5.59803498e-004-1.69129217e-003 3.04241802e-004
         9-2.28908841e-003 6.91585051e-003-3.56509024e-003
        10-5.27648142e-003 1.59414362e-002-4.86270076e-003
        11-1.37112914e-002 4.14248927e-002-7.48235505e-003
        12 8.41203965e-003-2.54146623e-002 4.56155789e-003
        13 9.60776206e-003-2.90272084e-002 5.78348339e-003

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
               4.261272307142889e+000               1.477966125465374e-002     1

 new test result      =  
               4.261272305503215e+000               1.477966125465372e-002     1

 difference           =  1.63967e-009                         1.90820e-017

 relative error       =  3.84785e-010                         1.29110e-015


 *** results agree to within stopping tolerance. ***



 example  8

 test use of taufac to restrict first step for odr problem
 with finite difference derivatives using dodrc.
 data set reference:  powell and macdonald, 1972, tables 7 and 8, pages 153-154                      
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of odr ***

 --- problem size:
            n =    14          (number with nonzero weight =    14)
           nq =     1
            m =     1
           np =     3          (number unfixed =     3)

 --- control values:
          job =   210
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are initialized to zero.
                       c=2 ==> covariance matrix will not be computed.
                       d=1 ==> derivatives are estimated by central differences.
                       e=0 ==> method is explicit odr.
       ndigit =    16          (estimated by odrpack)
       taufac =    1.00e-002

 --- stopping criteria:
        sstol =    1.49e-008   (sum of squares stopping tolerance)
       partol =    3.67e-011   (parameter stopping tolerance)
        maxit =    50          (maximum number of iterations)

 --- initial weighted sum of squares        =                   6.65183875e+001
         sum of squared weighted deltas     =  0.00000000e+000
         sum of squared weighted epsilons   =  6.65183875e+001

 --- function parameter summary:

       index         beta(k)    fixed           scale    derivative
                                                          step size
         (k)                  (ifixb)          (sclb)        (stpb)

           1 2.50000000e+001       no 3.33333333e-002  4.64159e-006
           2 3.00000000e+001       no 3.33333333e-002  4.64159e-006
           3 6.00000000e+000       no 3.33333333e-002  4.64159e-006

 --- explanatory variable and delta weight summary:

       index      x(i,j)  delta(i,j)    fixed     scale    weight    derivative
                                                                      step size
       (i,j)                          (ifixx)    (scld)      (wd)        (stpd)

         1,1  1.000e+000  0.000e+000       no 1.00e+000 1.00e+000  4.64159e-006
         n,1  1.400e+001  0.000e+000       no 7.14e-002 1.00e+000  4.64159e-006

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1  2.638e+001  1.000e+000    
         n,1  2.222e+001  1.000e+000    

 *** iteration reports for fit by method of odr ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    1      21 1.65304e-003  9.9998e-001  9.9998e-001 1.906e-001   yes       
    2      30 1.14442e-003  3.0769e-001  3.0772e-001 5.736e-003   yes       
    3      39 1.14442e-003  2.8528e-006  2.8589e-006 4.489e-005   yes       
    4      48 1.14442e-003  9.2532e-011  9.3847e-011 7.580e-007   yes       

 *** final summary for fit by method of odr ***

 --- stopping conditions:
         info =     1 ==> sum of squares convergence.
        niter =     4          (number of iterations)
         nfev =    48          (number of function evaluations)
        irank =     0          (rank deficiency)
        rcond =    5.38e-003   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                    1.14441947e-003
         sum of squared weighted deltas   =   1.25033077e-004
         sum of squared weighted epsilons =   1.01938640e-003

 --- estimated beta(j), j = 1, ..., np:

           index           value -------------->

       1 to    3 2.71167487e+001 3.36427043e+001 6.62121910e+000

     n.b. no parameters were fixed by the user or dropped at the last
          iteration because they caused the model to be rank deficient.

 --- estimated epsilon(i) and delta(i,*), i = 1, ..., n:
\n         i    epsilon(i,1)      delta(i,1)\n
         1 7.59801117e-003 4.97540747e-003
         2 7.39164818e-004 4.06579051e-004
         3-6.94196648e-003-3.28158116e-003
         4-1.71319408e-002-7.08391784e-003
         5-7.84792234e-003-2.87575737e-003
         6 3.89544360e-003 1.27960335e-003
         7 1.08567684e-002 3.22813867e-003
         8 7.23311503e-003 1.96282386e-003
         9 7.22701041e-003 1.80177855e-003
        10 7.62288350e-003 1.75618816e-003
        11 5.74541442e-003 1.22941679e-003
        12-6.34168093e-004-1.26609680e-004
        13-3.71790891e-003-6.95241812e-004
        14-1.46591743e-002-2.57682804e-003

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
               4.371487317909745e+001               1.144419474408286e-003     1

 new test result      =  
               4.371487334115803e+001               1.144419474408226e-003     1

 difference           =  1.62061e-007                         6.00648e-017

 relative error       =  3.70722e-009                         5.24850e-014


 *** results agree to within stopping tolerance. ***



 example  9

 test implicit model for ols problem
 using dodrc.
 data set reference:  fuller, 1987, table 3.2.10, pages 244-245                                      
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of odr ***

 --- problem size:
            n =    20          (number with nonzero weight =    20)
           nq =     1
            m =     2
           np =     5          (number unfixed =     5)

 --- control values:
          job =     1
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are initialized to zero.
                       c=0 ==> covariance matrix will be computed using
                               derivatives re-evaluated at the solution.
                       d=0 ==> derivatives are estimated by forward differences.
                       e=1 ==> method is implicit odr.
       ndigit =    15          (estimated by odrpack)
       taufac =    1.00e+000

 --- stopping criteria:
        sstol =    1.49e-008   (sum of squares stopping tolerance)
       partol =    6.06e-006   (parameter stopping tolerance)
        maxit =   100          (maximum number of iterations)

 --- initial sum of squared weighted deltas =                   0.00000000e+000
         initial penalty function value     =  8.39823392e-001
                 penalty term               =  8.39823392e-001
                 penalty parameter          =  1.0e+001

 --- function parameter summary:

       index         beta(k)    fixed           scale    derivative
                                                          step size
         (k)                  (ifixb)          (sclb)        (stpb)

           1-1.00000000e+000       no 1.00000000e+000  3.16228e-010
           2-3.00000000e+000       no 3.33333333e-001  3.16228e-010
           3 9.00000000e-002       no 1.11111111e+001  3.16228e-010
           4 2.00000000e-002       no 5.00000000e+001  3.16228e-010
           5 8.00000000e-002       no 1.25000000e+001  3.16228e-010

 --- explanatory variable and delta weight summary:

       index      x(i,j)  delta(i,j)    fixed     scale    weight    derivative
                                                                      step size
       (i,j)                          (ifixx)    (scld)      (wd)        (stpd)

         1,1  5.000e-001  0.000e+000       no 2.00e+000 1.00e+000  3.16228e-010
         n,1 -3.440e+000  0.000e+000       no 2.91e-001 1.00e+000  3.16228e-010
 
         1,2 -1.200e-001  0.000e+000       no 8.33e+000 1.00e+000  3.16228e-010
         n,2 -4.860e+000  0.000e+000       no 2.06e-001 1.00e+000  3.16228e-010

 *** iteration reports for fit by method of odr ***


         cum.      penalty    act. rel.   pred. rel.
  it.  no. fn     function   sum-of-sqs   sum-of-sqs              g-n
 num.   evals        value    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

 penalty parameter value =   1.0e+001
    1      13 6.95806e-002  9.1715e-001  9.2121e-001 3.787e-001   yes       
    2      21 6.86021e-002  1.4063e-002  1.3989e-002 4.792e-002   yes       
    3      29 6.85929e-002  1.3366e-004  1.3153e-004 2.460e-003   yes       
    4      37 6.85929e-002  2.7829e-007  2.5590e-007 3.264e-004   yes       
    5      45 6.85929e-002  2.3043e-009  2.2048e-009 2.609e-005   yes       

 penalty parameter value =   1.0e+002
    6      71 8.58086e-002  5.8378e-001  5.8368e-001 7.423e-002   yes       
    7      79 8.57904e-002  2.1194e-004  2.1051e-004 1.733e-002   yes       
    8      87 8.57902e-002  2.9672e-006  2.9235e-006 6.224e-004   yes       
    9      95 8.57902e-002  7.3547e-009  6.9000e-009 7.348e-005   yes       

 penalty parameter value =   1.0e+003
   10     116 8.79954e-002  1.7982e-001  1.7982e-001 8.924e-003   yes       
   11     124 8.79951e-002  3.5447e-006  3.4892e-006 2.283e-003   yes       
   12     132 8.79951e-002  2.0789e-008  1.9856e-008 8.351e-005   yes       
   13     140 8.79951e-002  1.7288e-010  1.6623e-010 1.135e-005   yes       

 penalty parameter value =   1.0e+004
   14     161 8.82218e-002  2.2544e-002  2.2544e-002 9.103e-004   yes       
   15     169 8.82218e-002  2.7123e-008  2.5931e-008 1.116e-004   yes       
   16     177 8.82218e-002  1.2760e-010  1.2609e-010 7.117e-006   yes       

 penalty parameter value =   1.0e+005
   17     195 8.82446e-002  2.3129e-003  2.3129e-003 8.703e-005   yes       
   18     203 8.82446e-002  2.4386e-010  2.9471e-010 1.055e-005   yes       

 *** final summary for fit by method of odr ***

 --- stopping conditions:
         info =     2 ==> parameter convergence.
        niter =    18          (number of iterations)
         nfev =   217          (number of function evaluations)
        irank =     0          (rank deficiency)
        rcond =    3.18e-002   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final sum of squared weighted deltas =                    8.82420346e-002
         final penalty function value     =   8.82445616e-002
               penalty term               =   2.52701646e-006
               penalty parameter          =   1.0e+005

 --- residual standard deviation          =                    7.66994283e-002
         degrees of freedom               =   15

 --- estimated beta(j), j = 1, ..., np:

                     beta      s.d. beta    ---- 95onfidence interval ----

       1 -9.99379933e-001    1.1138e-001   -1.23682037e+000 to-7.61939498e-001
       2 -2.93104945e+000    1.0977e-001   -3.16504366e+000 to-2.69705524e+000
       3  8.75730802e-002    4.1061e-003    7.88200448e-002 to 9.63261156e-002
       4  1.62299440e-002    2.7500e-003    1.03676047e-002 to 2.20922834e-002
       5  7.97538265e-002    3.4963e-003    7.23007542e-002 to 8.72068988e-002

 --- estimated delta(i,*), i = 1, ..., n:
\n         i      delta(i,1)      delta(i,2)\n
         1 3.40720634e-002 4.76859911e-002
         2-2.65181593e-002-2.55208824e-002
         3-6.46552695e-002-4.89654543e-002
         4-6.02227753e-002-3.67982150e-002
         5 1.53930575e-001 4.61090284e-002
         6 7.49626233e-002 5.60552095e-003
         7-1.34843348e-002 1.40897523e-003
         8-9.20914920e-002 3.20494935e-002
         9-2.95791068e-002 1.74355140e-002
        10-2.24335334e-003 1.96493019e-003
        11 1.75675450e-002-2.30884064e-002
        12-1.84834918e-002 3.96270867e-002
        13 1.65863777e-003-1.00326794e-001
        14-9.59478862e-003-6.81525381e-002
        15 8.68783587e-003 2.81096620e-002
        16 3.24758842e-002 6.89224994e-002
        17 3.11880470e-002 4.53119824e-002
        18-7.48536161e-003-8.53418818e-003
        19 5.74207430e-003 5.51932382e-003
        20-3.59271145e-002-2.83633754e-002

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
               3.099048849376849e+000               8.824708863783851e-002     2

 new test result      =  
               3.099048927917403e+000               8.824203461934722e-002     2

 difference           =  7.85406e-008                         5.05402e-006

 relative error       =  2.53434e-008                         5.72712e-005


 *** results agree to within stopping tolerance. ***



 example 10

 test multiresponse model for odr problem
 with finite difference derivatives using dodrc.
 data set reference:  bates and watts, 1988, table a1.13, pages 280-281                              
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of odr ***

 --- problem size:
            n =    23          (number with nonzero weight =    21)
           nq =     2
            m =     1
           np =     5          (number unfixed =     5)

 --- control values:
          job =   210
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are initialized to zero.
                       c=2 ==> covariance matrix will not be computed.
                       d=1 ==> derivatives are estimated by central differences.
                       e=0 ==> method is explicit odr.
       ndigit =    15          (estimated by odrpack)
       taufac =    1.00e+000

 --- stopping criteria:
        sstol =    1.49e-008   (sum of squares stopping tolerance)
       partol =    3.67e-011   (parameter stopping tolerance)
        maxit =    50          (maximum number of iterations)

 --- initial weighted sum of squares        =                   1.61756061e+003
         sum of squared weighted deltas     =  0.00000000e+000
         sum of squared weighted epsilons   =  1.61756061e+003

 --- function parameter summary:

       index         beta(k)    fixed           scale    derivative
                                                          step size
         (k)                  (ifixb)          (sclb)        (stpb)

           1 4.00000000e+000       no 2.50000000e-001  1.00000e-005
           2 2.00000000e+000       no 5.00000000e-001  1.00000e-005
           3 7.00000000e+000       no 1.42857143e-001  1.00000e-005
           4 4.00000000e-001       no 2.50000000e+000  1.00000e-005
           5 5.00000000e-001       no 2.00000000e+000  1.00000e-005

 --- explanatory variable and delta weight summary:

       index      x(i,j)  delta(i,j)    fixed     scale    weight    derivative
                                                                      step size
       (i,j)                          (ifixx)    (scld)      (wd)        (stpd)

         1,1  3.000e+001  0.000e+000      yes 3.33e-002 1.11e-007  1.00000e-005
         n,1  1.500e+005  0.000e+000       no 6.67e-006 4.44e-015  1.00000e-005

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1  4.220e+000  5.596e+002    
         n,1  2.759e+000  5.596e+002    
 
         1,2  1.360e-001  8.397e+003    
         n,2  1.390e-001  8.397e+003    

 *** iteration reports for fit by method of odr ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    1      18 2.81264e+002  8.2612e-001  9.9950e-001 1.204e+000   yes       
    2      31 8.75783e+000  9.6886e-001  9.9813e-001 2.200e-001   yes       
    3      44 2.48574e+000  7.1617e-001  9.5244e-001 1.597e-001   yes       
    4      57 4.24412e-001  8.2926e-001  8.3031e-001 2.241e-002   yes       
    5      70 4.20540e-001  9.1238e-003  9.0876e-003 4.429e-003   yes       
    6      83 4.20539e-001  2.8954e-006  2.7128e-006 3.930e-004   yes       
    7      96 4.20539e-001  1.4230e-008  1.3313e-008 2.690e-005   yes       

 *** final summary for fit by method of odr ***

 --- stopping conditions:
         info =     1 ==> sum of squares convergence.
        niter =     7          (number of iterations)
         nfev =    96          (number of function evaluations)
        irank =     0          (rank deficiency)
        rcond =    8.15e-003   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                    4.20538922e-001
         sum of squared weighted deltas   =   5.54022895e-004
         sum of squared weighted epsilons =   4.19984899e-001

 --- estimated beta(j), j = 1, ..., np:

           index           value -------------->

       1 to    4 4.37998809e+000 2.43330566e+000 8.00288453e+000 5.10114676e-001
               5 5.17390199e-001

     n.b. no parameters were fixed by the user or dropped at the last
          iteration because they caused the model to be rank deficient.

 --- estimated epsilon(i) and delta(i,*), i = 1, ..., n:
\n         i    epsilon(i,1)    epsilon(i,2)      delta(i,1)\n
         1-7.38556281e-003 1.25939922e-003 0.00000000e+000
         2-1.05612518e-003-1.22845804e-003 0.00000000e+000
         3-2.70861844e-003-2.14347061e-003 0.00000000e+000
         4 4.68593718e-002-4.25940146e-003 0.00000000e+000
         5 8.08104420e-003-3.47539550e-003 0.00000000e+000
         6 1.53882474e-003 3.85293691e-004 3.03694703e+001
         7 4.60534881e-003 1.19118721e-003 3.78987347e+001
         8 4.50904278e-003 1.23570429e-003 6.22631839e+001
         9-1.00624342e-003-2.91872299e-004 1.11187207e+002
        10 1.05810430e-002 3.27283292e-003 1.15710270e+002
        11 6.93618486e-003 2.43480864e-003 2.41437285e+002
        12 3.95512341e-005 1.75761988e-005 9.61345659e+002
        13-3.77619650e-003-2.42909122e-003 1.33029993e+003
        14-5.56743467e-004-1.70124794e-003 2.07511789e+003
        15 2.08264690e-003-2.23723708e-003 2.90289763e+003
        16-7.50661987e-003 2.16469603e-003 5.21813714e+003
        17-1.56730631e-003 2.03369394e-004 7.54565125e+003
        18-5.93228163e-004 2.72079634e-005 1.74201144e+004
        19 1.15244167e-004-2.42068503e-007 2.42745693e+004
        20 2.63614224e-004 5.18444903e-006 3.78492489e+004
        21-3.81043947e-004-1.03970544e-005 5.53493969e+004
        22-3.36863330e-004-1.26155472e-005 8.75792611e+004
        23 2.87168504e-003 1.41195403e-004 1.29496518e+005

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
               9.469917836739933e+000               4.205389215588105e-001     1

 new test result      =  
               9.469917762491942e+000               4.205389215886787e-001     1

 difference           =  7.42480e-008                         2.98683e-011

 relative error       =  7.84040e-009                         7.10238e-011


 *** results agree to within stopping tolerance. ***



 example 11

 test detection of questionable analytic derivatives for ols problem
 using dodrc.
 data set reference:  powell and macdonald, 1972, tables 7 and 8, pages 153-154                      
 ******************************************************* 
 * odrpack version 2.01 of 06-19-92 (double precision) * 
 ******************************************************* 


 *** initial summary for fit by method of ols ***

 --- problem size:
            n =    14          (number with nonzero weight =    14)
           nq =     1
            m =     1
           np =     3          (number unfixed =     3)

 --- control values:
          job =    22
              = abcde, where
                       a=0 ==> fit is not a restart.
                       b=0 ==> deltas are fixed at zero since e=2.
                       c=0 ==> covariance matrix will be computed using
                               derivatives re-evaluated at the solution.
                       d=2 ==> derivatives are supplied by user.
                               derivatives were checked.
                               results appear questionable.
                       e=2 ==> method is explicit ols.
       ndigit =    16          (estimated by odrpack)
       taufac =    1.00e+000

 --- stopping criteria:
        sstol =    1.49e-008   (sum of squares stopping tolerance)
       partol =    3.67e-011   (parameter stopping tolerance)
        maxit =    50          (maximum number of iterations)

 --- initial weighted sum of squares        =                   6.65183875e+001

 --- function parameter summary:

       index         beta(k)    fixed           scale    derivative
                                                         assessment
         (k)                  (ifixb)          (sclb)              

           1 2.50000000e+001       no 3.33333333e-002  questionable
           2 3.00000000e+001       no 3.33333333e-002  questionable
           3 6.00000000e+000       no 3.33333333e-002  questionable

 --- explanatory variable summary:

       index      x(i,j)
       (i,j)            

         1,1  1.000e+000
         n,1  1.400e+001

 --- response variable and epsilon error weight summary:

       index      y(i,l)      weight
       (i,l)                    (we)

         1,1  2.638e+001  1.000e+000    
         n,1  2.222e+001  1.000e+000    

 *** iteration reports for fit by method of ols ***


         cum.                 act. rel.   pred. rel.
  it.  no. fn     weighted   sum-of-sqs   sum-of-sqs              g-n
 num.   evals   sum-of-sqs    reduction    reduction  tau/pnorm  step
 ----  ------  -----------  -----------  -----------  ---------  ----

    1      24 6.65184e+001  0.0000e+000  0.0000e+000 0.000e+000   yes       

 *** final summary for fit by method of ols ***

 --- stopping conditions:
         info =  1023
              =  abcd, where a nonzero value for digit a, b, or c indicates why
                       the results might be questionable, and digit d indicates
                       the actual stopping condition.
                       a=1 ==> derivatives are questionable.
                       c=2 ==> derivatives are zero rank at the solution.
                       d=3 ==> sum of squares convergence and parameter convergence.
        niter =     1          (number of iterations)
         nfev =    24          (number of function evaluations)
         njev =     2          (number of jacobian evaluations)
        irank =     3          (rank deficiency)
        rcond =    0.00e+000   (inverse condition number)
        istop =     0          (returned by user from subroutine fcn)

 --- final weighted sums of squares       =                    6.65183875e+001

 --- residual standard deviation          =                    8.15588055e+000
         degrees of freedom               =    0

 --- estimated beta(j), j = 1, ..., np:

                     beta      s.d. beta    ---- 95onfidence interval ----

       1  2.50000000e+001        dropped
       2  3.00000000e+001        dropped
       3  6.00000000e+000        dropped

 --- estimated epsilon(i,  1), i = 1, ..., n:

           index           value -------------->

       1 to    4-2.12824711e+000-2.15338202e+000-2.17361007e+000-2.19297148e+000
       5 to    8-2.18753205e+000-2.17853564e+000-2.17414444e+000-2.18046225e+000
       9 to   12-2.18216734e+000-2.18292056e+000-2.18563784e+000-2.19267768e+000
      13 to   14-2.19597334e+000-2.20712839e+000

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
               3.950949253027682e+001               6.651838750834911e+001  1023

 new test result      =  
               3.950949253027682e+001               6.651838750834908e+001  1023

 difference           =  0.00000e+000                         2.84217e-014

 relative error       =  0.00000e+000                         4.27276e-016


 *** results agree to within stopping tolerance. ***



 example 12

 test detection of incorrect analytic derivatives for odr problem
 with analytic derivatives using dodrc.
 data set reference:  powell and macdonald, 1972, tables 7 and 8, pages 153-154                      

 comparison of new results with double precision cray ymp result:

                         norm of beta        sum of squared wtd obs errors  info

 cray ymp result =       
               3.950949253027682e+001               6.651838750834911e+001 40100

 new test result      =  
               3.950949253027682e+001               6.651838750834908e+001 40100

 difference           =  0.00000e+000                         2.84217e-014

 relative error       =  0.00000e+000                         4.27276e-016

 *** stopping conditions show convergence not attained. ***
        no further comparisons made between results.






 *** summary: all tests agree with expected results. ***
rc= 0
** quadpack/qng.f
 result=  1.270724e+000
rc= 0
** regression/mlsvd.f
a: 6x4 matrix
7.000000e-001 -1.000000e-001 -7.000000e-001 1.000000e-001 
0.000000e+000 0.000000e+000 9.000000e-001 -7.000000e-001 
5.000000e-001 6.000000e-001 -5.000000e-001 0.000000e+000 
-4.000000e-001 8.000000e-001 5.000000e-001 5.000000e-001 
1.000000e-001 4.000000e-001 -5.000000e-001 -3.000000e-001 
-2.000000e-001 -6.000000e-001 2.000000e-001 3.000000e-001 
singular values: 4x1 matrix
1.651219e+000 
1.232826e+000 
1.022761e+000 
4.556032e-001 
left singular vectors: 6x4 matrix
-5.674209e-001 1.932234e-001 -2.391609e-002 5.587620e-001 
4.922226e-001 1.325698e-002 -7.676218e-001 3.312008e-001 
-4.599069e-001 -3.843584e-001 -1.908938e-001 3.154208e-001 
2.922030e-001 -7.756010e-001 3.657792e-001 2.499210e-001 
-3.120935e-001 -2.283712e-001 -2.822268e-001 -6.279275e-001 
2.035956e-001 4.013068e-001 4.003723e-001 1.478084e-001 
right singular vectors: 4x4 matrix
-4.941547e-001 -1.407653e-001 8.557409e-001 -6.085787e-002 
1.218494e-001 -9.754423e-001 -1.009870e-001 -1.531884e-001 
-3.586340e-001 -1.687934e-001 -1.707085e-001 9.020804e-001 
7.825251e-001 -1.436105e-002 4.778783e-001 3.988490e-001 
rc= 0
** regression/ols1.f
A+: 100x50 matrix
7.318494e-0091.463699e-0082.195548e-008 ... 3.512877e-0073.586062e-0073.659247e-007
2.194826e-0084.389652e-0086.584478e-008 ... 1.053516e-0061.075465e-0061.097413e-006
3.655637e-0087.311273e-0081.096691e-007 ... 1.754705e-0061.791262e-0061.827818e-006
5.112839e-0081.022568e-0071.533852e-007 ... 2.454163e-0062.505291e-0062.556420e-006
6.564996e-0081.312999e-0071.969499e-007 ... 3.151198e-0063.216848e-0063.282498e-006
8.010674e-0081.602135e-0072.403202e-007 ... 3.845124e-0063.925230e-0064.005337e-006
9.448447e-0081.889689e-0072.834534e-007 ... 4.535254e-0064.629739e-0064.724223e-006
1.087690e-0072.175379e-0073.263069e-007 ... 5.220910e-0065.329679e-0065.438448e-006
1.229461e-0072.458922e-0073.688383e-007 ... 5.901412e-0066.024358e-0066.147305e-006
1.370019e-0072.740038e-0074.110057e-007 ... 6.576091e-0066.713093e-0066.850095e-006
 ... 
1.509225e-0073.018450e-0074.527675e-007 ... 7.244280e-0067.395202e-0067.546125e-006
1.370019e-0072.740038e-0074.110057e-007 ... 6.576091e-0066.713093e-0066.850095e-006
1.229461e-0072.458922e-0073.688383e-007 ... 5.901412e-0066.024358e-0066.147305e-006
1.087690e-0072.175379e-0073.263069e-007 ... 5.220910e-0065.329679e-0065.438448e-006
9.448447e-0081.889689e-0072.834534e-007 ... 4.535254e-0064.629739e-0064.724223e-006
8.010674e-0081.602135e-0072.403202e-007 ... 3.845124e-0063.925230e-0064.005337e-006
6.564996e-0081.312999e-0071.969499e-007 ... 3.151198e-0063.216848e-0063.282498e-006
5.112839e-0081.022568e-0071.533852e-007 ... 2.454163e-0062.505291e-0062.556420e-006
3.655637e-0087.311273e-0081.096691e-007 ... 1.754705e-0061.791262e-0061.827818e-006
2.194826e-0084.389652e-0086.584478e-008 ... 1.053516e-0061.075465e-0061.097413e-006
7.318494e-0091.463699e-0082.195548e-008 ... 3.512877e-0073.586062e-0073.659247e-007
A: 50x100 matrix
1.570732e-0024.710645e-0027.845910e-002 ... 7.845910e-0024.710645e-0021.570732e-002
3.141464e-0029.421290e-0021.569182e-001 ... 1.569182e-0019.421290e-0023.141464e-002
4.712195e-0021.413193e-0012.353773e-001 ... 2.353773e-0011.413193e-0014.712195e-002
6.282927e-0021.884258e-0013.138364e-001 ... 3.138364e-0011.884258e-0016.282927e-002
7.853658e-0022.355323e-0013.922955e-001 ... 3.922955e-0012.355323e-0017.853658e-002
9.424391e-0022.826387e-0014.707546e-001 ... 4.707546e-0012.826387e-0019.424391e-002
1.099512e-0013.297451e-0015.492136e-001 ... 5.492136e-0013.297451e-0011.099512e-001
1.256585e-0013.768516e-0016.276728e-001 ... 6.276728e-0013.768516e-0011.256585e-001
1.413659e-0014.239581e-0017.061319e-001 ... 7.061319e-0014.239581e-0011.413659e-001
1.570732e-0014.710645e-0017.845910e-001 ... 7.845910e-0014.710645e-0011.570732e-001
 ... 
6.282927e-0011.884258e+0003.138364e+000 ... 3.138364e+0001.884258e+0006.282927e-001
6.440000e-0011.931365e+0003.216823e+000 ... 3.216823e+0001.931365e+0006.440000e-001
6.597073e-0011.978471e+0003.295282e+000 ... 3.295282e+0001.978471e+0006.597073e-001
6.754146e-0012.025577e+0003.373741e+000 ... 3.373741e+0002.025577e+0006.754146e-001
6.911219e-0012.072684e+0003.452200e+000 ... 3.452200e+0002.072684e+0006.911219e-001
7.068292e-0012.119790e+0003.530659e+000 ... 3.530659e+0002.119790e+0007.068292e-001
7.225366e-0012.166897e+0003.609118e+000 ... 3.609118e+0002.166897e+0007.225366e-001
7.382439e-0012.214003e+0003.687577e+000 ... 3.687577e+0002.214003e+0007.382439e-001
7.539513e-0012.261110e+0003.766037e+000 ... 3.766037e+0002.261110e+0007.539513e-001
7.696586e-0012.308216e+0003.844496e+000 ... 3.844496e+0002.308216e+0007.696586e-001
7.853659e-0012.355323e+0003.922955e+000 ... 3.922955e+0002.355323e+0007.853659e-001
AA+A: 50x100 matrix
1.570732e-0024.710645e-0027.845910e-002 ... 7.845910e-0024.710645e-0021.570732e-002
3.141464e-0029.421290e-0021.569182e-001 ... 1.569182e-0019.421290e-0023.141464e-002
4.712195e-0021.413193e-0012.353773e-001 ... 2.353773e-0011.413193e-0014.712195e-002
6.282927e-0021.884258e-0013.138364e-001 ... 3.138364e-0011.884258e-0016.282927e-002
7.853658e-0022.355323e-0013.922955e-001 ... 3.922955e-0012.355323e-0017.853658e-002
9.424391e-0022.826387e-0014.707546e-001 ... 4.707546e-0012.826387e-0019.424391e-002
1.099512e-0013.297451e-0015.492136e-001 ... 5.492136e-0013.297451e-0011.099512e-001
1.256585e-0013.768516e-0016.276728e-001 ... 6.276728e-0013.768516e-0011.256585e-001
1.413659e-0014.239581e-0017.061319e-001 ... 7.061319e-0014.239581e-0011.413659e-001
1.570732e-0014.710645e-0017.845910e-001 ... 7.845910e-0014.710645e-0011.570732e-001
 ... 
6.282927e-0011.884258e+0003.138364e+000 ... 3.138364e+0001.884258e+0006.282927e-001
6.440000e-0011.931365e+0003.216823e+000 ... 3.216823e+0001.931365e+0006.440000e-001
6.597073e-0011.978471e+0003.295282e+000 ... 3.295282e+0001.978471e+0006.597073e-001
6.754146e-0012.025577e+0003.373741e+000 ... 3.373741e+0002.025577e+0006.754146e-001
6.911219e-0012.072684e+0003.452200e+000 ... 3.452200e+0002.072684e+0006.911219e-001
7.068292e-0012.119790e+0003.530659e+000 ... 3.530659e+0002.119790e+0007.068292e-001
7.225366e-0012.166897e+0003.609118e+000 ... 3.609118e+0002.166897e+0007.225366e-001
7.382439e-0012.214003e+0003.687577e+000 ... 3.687577e+0002.214003e+0007.382439e-001
7.539513e-0012.261110e+0003.766037e+000 ... 3.766037e+0002.261110e+0007.539513e-001
7.696586e-0012.308216e+0003.844496e+000 ... 3.844496e+0002.308216e+0007.696586e-001
7.853659e-0012.355323e+0003.922955e+000 ... 3.922955e+0002.355323e+0007.853659e-001
x: 100x1 matrix
3.141463e-004 
9.421290e-004 
1.569182e-003 
2.194686e-003 
2.818025e-003 
3.438582e-003 
4.055746e-003 
4.668907e-003 
5.277461e-003 
5.880807e-003 
 ... 
6.478348e-003 
5.880807e-003 
5.277461e-003 
4.668907e-003 
4.055746e-003 
3.438582e-003 
2.818025e-003 
2.194686e-003 
1.569182e-003 
9.421290e-004 
3.141463e-004 
z: 50x1 matrix
1.000000e+000 
2.000000e+000 
3.000000e+000 
4.000000e+000 
5.000000e+000 
6.000000e+000 
7.000000e+000 
8.000000e+000 
9.000000e+000 
1.000000e+001 
 ... 
4.000000e+001 
4.100000e+001 
4.200000e+001 
4.300000e+001 
4.400000e+001 
4.500000e+001 
4.600000e+001 
4.700000e+001 
4.800000e+001 
4.900000e+001 
5.000000e+001 
rc= 0
** regression/pinv1.f
A: 2x3 matrix
2.000000e+000 -1.000000e+000 0.000000e+000 
4.000000e+000 3.000000e+000 -2.000000e+000 
s: 2x1 matrix
5.477226e+000 
2.000000e+000 
U: 2x2 matrix
1.961161e-001 9.805807e-001 
9.805807e-001 -1.961161e-001 
S: 2x3 matrix
5.477226e+000 0.000000e+000 0.000000e+000 
0.000000e+000 2.000000e+000 0.000000e+000 
V^T: 3x3 matrix
7.877263e-001 5.012804e-001 -3.580574e-001 
5.883484e-001 -7.844645e-001 1.961161e-001 
1.825742e-001 3.651484e-001 9.128709e-001 
S+: 3x2 matrix
1.825742e-001 0.000000e+000 
0.000000e+000 5.000000e-001 
0.000000e+000 0.000000e+000 
VS+: 3x2 matrix
1.438185e-001 2.941742e-001 
9.152086e-002 -3.922323e-001 
-6.537204e-002 9.805807e-002 
U: 2x2 matrix
1.961161e-001 9.805807e-001 
9.805807e-001 -1.961161e-001 
A+: 3x2 matrix
3.166667e-001 8.333334e-002 
-3.666667e-001 1.666667e-001 
8.333334e-002 -8.333334e-002 
rc= 0
** regression/pinv2.f
A: 2x3 matrix
2.000000e+000 -1.000000e+000 0.000000e+000 
4.000000e+000 3.000000e+000 -2.000000e+000 
A+: 3x2 matrix
3.166667e-001 8.333334e-002 
-3.666667e-001 1.666667e-001 
8.333334e-002 -8.333334e-002 
AA+: 2x2 matrix
1.000000e+000 -1.665335e-016 
-6.661338e-016 1.000000e+000 
rc= 0
** regression/pinv3.f
A: 2x3 matrix
2.000000e+000 -1.000000e+000 0.000000e+000 
4.000000e+000 3.000000e+000 -2.000000e+000 
A+: 3x2 matrix
3.166667e-001 8.333334e-002 
-3.666667e-001 1.666667e-001 
8.333334e-002 -8.333334e-002 
AA+: 2x2 matrix
1.000000e+000 -1.665335e-016 
-6.661338e-016 1.000000e+000 
rc= 0
** regression/pinv4.f
A: 2x2 matrix
4.000000e+000 0.000000e+000 
3.000000e+000 -5.000000e+000 
A+: 2x2 matrix
2.500000e-001 -1.387779e-017 
1.500000e-001 -2.000000e-001 
AA+: 2x2 matrix
1.000000e+000 -5.551115e-017 
0.000000e+000 1.000000e+000 
rc= 0
** regression/pinv5.f
A: 3x2 matrix
2.000000e+000 4.000000e+000 
-1.000000e+000 3.000000e+000 
0.000000e+000 -2.000000e+000 
A+: 2x3 matrix
3.166667e-001 -3.666667e-001 8.333334e-002 
8.333334e-002 1.666667e-001 -8.333334e-002 
A+A: 2x2 matrix
1.000000e+000 -6.106227e-016 
-5.551115e-017 1.000000e+000 
rc= 0
** toeplitz/toeplitz_test.f
 
toeplitz_test():
  Fortran77 version
  Test toeplitz().
 
TEST01
  CSLZ solves a complex circulant system.
 
  Matrix order N =        4
 
  The circulant matrix:
 
 
Columns         1                   2                   3                   4          
  Row
  ---
    1 4.499e-001-1.27e-001-8.43e-001-3.44e-0015.896e-0012.601e-0013.911e-0013.234e-001
    2 3.911e-0013.234e-0014.499e-001-1.27e-001-8.43e-001-3.44e-0015.896e-0012.601e-001
    3 5.896e-0012.601e-0013.911e-0013.234e-0014.499e-001-1.27e-001-8.43e-001-3.44e-001
    4 -8.43e-001-3.44e-0015.896e-0012.601e-0013.911e-0013.234e-0014.499e-001-1.27e-001
 
  Solution:
 
         1:  1.000000e+000-1.000000e+000
         2:  2.000000e+000-2.000000e+000
         3:  3.000000e+000-3.000000e+000
         4:  4.000000e+000-4.000000e+000
 
TEST02
  TSLZ solves a complex Toeplitz system.
 
  Matrix order N =        4
 
  The Toeplitz matrix:
 
 
Columns         1                   2                   3                   4          
  Row
  ---
    1 4.499e-001-1.27e-001-8.43e-001-3.44e-0015.896e-0012.601e-0013.911e-0013.234e-001
    2 -1.39e-001-1.56e-0014.499e-001-1.27e-001-8.43e-001-3.44e-0015.896e-0012.601e-001
    3 -2.36e-0017.746e-002-1.39e-001-1.56e-0014.499e-001-1.27e-001-8.43e-001-3.44e-001
    4 1.860e-002-6.33e-001-2.36e-0017.746e-002-1.39e-001-1.56e-0014.499e-001-1.27e-001
 
  Desired solution:
 
         1:  1.000000e+000-1.000000e+000
         2:  2.000000e+000-2.000000e+000
         3:  3.000000e+000-3.000000e+000
         4:  4.000000e+000-4.000000e+000
 
  Right Hand Side:
 
         1:  3.355550e+000-8.382627e-001
         2:  1.872230e-001-9.911213e-001
         3: -4.530139e+000 5.462714e-001
         4: -5.258637e-001-2.380880e+000
 
 Solution:
 
         1:  6.551908e+000 1.329069e+000
         2:  4.658954e+000-3.880112e+000
         3: -6.800986e+000 2.873449e-001
         4: -7.294758e-001 6.369242e-004
 
TEST03
  TSLD solves a real Toeplitz system.
 
  Matrix order N =        4
 
  The Toeplitz matrix:
 
 
Columns      1             2             3             4       
  Row
  ---
    1  2.184183e-001 9.563176e-001 8.295092e-001 5.616954e-001
    2  4.153071e-001 2.184183e-001 9.563176e-001 8.295092e-001
    3  6.611873e-002 4.153071e-001 2.184183e-001 9.563176e-001
    4  2.575778e-001 6.611873e-002 4.153071e-001 2.184183e-001
 
 
  Solution:
 
         1:  1.00000000e+000
         2:  2.00000000e+000
         3:  3.00000000e+000
         4:  4.00000000e+000
 
TEST04
  For a real block Toeplitz matrix,
  R8BTO_MXV computes A * x.
  R8BTO_VXM computes x * A.
 
  The block Toeplitz matrix:
 
 
Columns:      1             2             3             4             5       
  Row
  ---
    1  1.000000e+000 2.000000e+000 3.000000e+000 4.000000e+000 5.000000e+000
    2  5.000000e+000 5.000000e+000 6.000000e+000 6.000000e+000 7.000000e+000
    3  7.000000e+000 8.000000e+000 1.000000e+000 2.000000e+000 3.000000e+000
    4  8.000000e+000 8.000000e+000 5.000000e+000 5.000000e+000 6.000000e+000
    5  9.000000e+000 0.000000e+000 7.000000e+000 8.000000e+000 1.000000e+000
    6  9.000000e+000 9.000000e+000 8.000000e+000 8.000000e+000 5.000000e+000
 
Columns:      6       
  Row
  ---
    1  6.000000e+000
    2  7.000000e+000
    3  4.000000e+000
    4  6.000000e+000
    5  2.000000e+000
    6  5.000000e+000
 
 
  The vector x:
 
         1:  1.00000000e+000
         2:  2.00000000e+000
         3:  3.00000000e+000
         4:  4.00000000e+000
         5:  5.00000000e+000
         6:  6.00000000e+000
 
  The product A*x:
 
         1:  9.10000000e+001
         2:  1.34000000e+002
         3:  7.30000000e+001
         4:  1.25000000e+002
         5:  7.90000000e+001
         6:  1.38000000e+002
 
  The product x*A:
 
         1:  1.63000000e+002
         2:  1.22000000e+002
         3:  1.21000000e+002
         4:  1.30000000e+002
         5:  8.70000000e+001
         6:  9.60000000e+001
 
TEST05
  R8BTO_SL solves a block Toeplitz system.
 
  Matrix order N =        6
 
  The block Toeplitz matrix:
 
 
Columns:      1             2             3             4             5       
  Row
  ---
    1  9.000000e+000 1.000000e+000 3.000000e+000 4.000000e+000 5.000000e+000
    2  2.000000e+000 8.000000e+000 6.000000e+000 6.000000e+000 7.000000e+000
    3  7.000000e+000 8.000000e+000 9.000000e+000 1.000000e+000 3.000000e+000
    4  8.000000e+000 8.000000e+000 2.000000e+000 8.000000e+000 6.000000e+000
    5  9.000000e+000 0.000000e+000 7.000000e+000 8.000000e+000 9.000000e+000
    6  9.000000e+000 9.000000e+000 8.000000e+000 8.000000e+000 2.000000e+000
 
Columns:      6       
  Row
  ---
    1  6.000000e+000
    2  7.000000e+000
    3  4.000000e+000
    4  6.000000e+000
    5  1.000000e+000
    6  8.000000e+000
 
 
  Right hand side:
 
         1:  9.70000000e+001
         2:  1.37000000e+002
         3:  9.30000000e+001
         4:  1.28000000e+002
         5:  1.13000000e+002
         6:  1.41000000e+002
 
  Computed solution:
 
         1:  1.00000000e+000
         2:  2.00000000e+000
         3:  3.00000000e+000
         4:  4.00000000e+000
         5:  5.00000000e+000
         6:  6.00000000e+000
 
toeplitz_test():
  Normal end of execution.
 
rc= 0
** 102 out of 102 tests OK
