Botan 2.1.0 Crypto and TLS for C++11

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mul128.h
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1 /*
2 * 64x64->128 bit multiply operation
3 * (C) 2013,2015 Jack Lloyd
4 *
5 * Botan is released under the Simplified BSD License (see license.txt)
6 */
7
8 #ifndef BOTAN_UTIL_MUL128_H__
9 #define BOTAN_UTIL_MUL128_H__
10
11 #include <botan/types.h>
12
13 namespace Botan {
14
15 #if defined(__SIZEOF_INT128__) && defined(BOTAN_TARGET_CPU_HAS_NATIVE_64BIT)
16 #define BOTAN_TARGET_HAS_NATIVE_UINT128
17
18 // Prefer TI mode over __int128 as GCC rejects the latter in pendantic mode
19 #if defined(__GNUG__)
20 typedef unsigned int uint128_t __attribute__((mode(TI)));
21 #else
22 typedef unsigned __int128 uint128_t;
23 #endif
24 #endif
25
26 }
27
28 #if defined(BOTAN_TARGET_HAS_NATIVE_UINT128)
29
30 #define BOTAN_FAST_64X64_MUL(a,b,lo,hi) \
31 do { \
32 const uint128_t r = static_cast<uint128_t>(a) * b; \
33 *hi = (r >> 64) & 0xFFFFFFFFFFFFFFFF; \
34 *lo = (r ) & 0xFFFFFFFFFFFFFFFF; \
35 } while(0)
36
37 #elif defined(BOTAN_BUILD_COMPILER_IS_MSVC) && defined(BOTAN_TARGET_CPU_HAS_NATIVE_64BIT)
38
39 #include <intrin.h>
40 #pragma intrinsic(_umul128)
41
42 #define BOTAN_FAST_64X64_MUL(a,b,lo,hi) \
43 do { *lo = _umul128(a, b, hi); } while(0)
44
45 #elif defined(BOTAN_USE_GCC_INLINE_ASM)
46
47 #if defined(BOTAN_TARGET_ARCH_IS_X86_64)
48
49 #define BOTAN_FAST_64X64_MUL(a,b,lo,hi) do { \
50 asm("mulq %3" : "=d" (*hi), "=a" (*lo) : "a" (a), "rm" (b) : "cc"); \
51 } while(0)
52
53 #elif defined(BOTAN_TARGET_ARCH_IS_ALPHA)
54
55 #define BOTAN_FAST_64X64_MUL(a,b,lo,hi) do { \
56 asm("umulh %1,%2,%0" : "=r" (*hi) : "r" (a), "r" (b)); \
57 *lo = a * b; \
58 } while(0)
59
60 #elif defined(BOTAN_TARGET_ARCH_IS_IA64)
61
62 #define BOTAN_FAST_64X64_MUL(a,b,lo,hi) do { \
63 asm("xmpy.hu %0=%1,%2" : "=f" (*hi) : "f" (a), "f" (b)); \
64 *lo = a * b; \
65 } while(0)
66
67 #elif defined(BOTAN_TARGET_ARCH_IS_PPC64)
68
69 #define BOTAN_FAST_64X64_MUL(a,b,lo,hi) do { \
70 asm("mulhdu %0,%1,%2" : "=r" (*hi) : "r" (a), "r" (b) : "cc"); \
71 *lo = a * b; \
72 } while(0)
73
74 #endif
75
76 #endif
77
78 namespace Botan {
79
80 /**
81 * Perform a 64x64->128 bit multiplication
82 */
83 inline void mul64x64_128(uint64_t a, uint64_t b, uint64_t* lo, uint64_t* hi)
84 {
85 #if defined(BOTAN_FAST_64X64_MUL)
86 BOTAN_FAST_64X64_MUL(a, b, lo, hi);
87 #else
88
89 /*
90 * Do a 64x64->128 multiply using four 32x32->64 multiplies plus
91 * some adds and shifts. Last resort for CPUs like UltraSPARC (with
92 * 64-bit registers/ALU, but no 64x64->128 multiply) or 32-bit CPUs.
93 */
94 const size_t HWORD_BITS = 32;
95 const uint32_t HWORD_MASK = 0xFFFFFFFF;
96
97 const uint32_t a_hi = (a >> HWORD_BITS);
98 const uint32_t a_lo = (a & HWORD_MASK);
99 const uint32_t b_hi = (b >> HWORD_BITS);
100 const uint32_t b_lo = (b & HWORD_MASK);
101
102 uint64_t x0 = static_cast<uint64_t>(a_hi) * b_hi;
103 uint64_t x1 = static_cast<uint64_t>(a_lo) * b_hi;
104 uint64_t x2 = static_cast<uint64_t>(a_hi) * b_lo;
105 uint64_t x3 = static_cast<uint64_t>(a_lo) * b_lo;
106
107 // this cannot overflow as (2^32-1)^2 + 2^32-1 < 2^64-1
108 x2 += x3 >> HWORD_BITS;
109
110 // this one can overflow
111 x2 += x1;
112
113 // propagate the carry if any
114 x0 += static_cast<uint64_t>(static_cast<bool>(x2 < x1)) << HWORD_BITS;
115
116 *hi = x0 + (x2 >> HWORD_BITS);
117 *lo = ((x2 & HWORD_MASK) << HWORD_BITS) + (x3 & HWORD_MASK);
118 #endif
119 }
120
121 }
122
123 #endif
Botan::mul64x64_128
void mul64x64_128(uint64_t a, uint64_t b, uint64_t *lo, uint64_t *hi)
Definition: mul128.h:83
Botan
Definition: alg_id.cpp:13
Botan::uint128_t
donna128 uint128_t
Definition: donna.cpp:63