Z3
z3_algebraic.h
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1/*++
2Copyright (c) 2012 Microsoft Corporation
3
4Module Name:
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6 z3_algebraic.h
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8Abstract:
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10 Additional APIs for handling Z3 algebraic numbers encoded as
11 Z3_ASTs
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13Author:
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15 Leonardo de Moura (leonardo) 2012-12-07
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17Notes:
18
19--*/
20
21#pragma once
22
23#ifdef __cplusplus
24extern "C" {
25#endif // __cplusplus
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120 Z3_ast Z3_API Z3_algebraic_root(Z3_context c, Z3_ast a, unsigned k);
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129 Z3_ast Z3_API Z3_algebraic_power(Z3_context c, Z3_ast a, unsigned k);
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204 int Z3_API Z3_algebraic_eval(Z3_context c, Z3_ast p, unsigned n, Z3_ast a[]);
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220 unsigned Z3_API Z3_algebraic_get_i(Z3_context c, Z3_ast a);
221
225#ifdef __cplusplus
226}
227#endif // __cplusplus
228
bool Z3_API Z3_algebraic_is_pos(Z3_context c, Z3_ast a)
Return true if a is positive, and false otherwise.
Z3_ast_vector Z3_API Z3_algebraic_roots(Z3_context c, Z3_ast p, unsigned n, Z3_ast a[])
Given a multivariate polynomial p(x_0, ..., x_{n-1}, x_n), returns the roots of the univariate polyno...
Z3_ast Z3_API Z3_algebraic_add(Z3_context c, Z3_ast a, Z3_ast b)
Return the value a + b.
bool Z3_API Z3_algebraic_eq(Z3_context c, Z3_ast a, Z3_ast b)
Return true if a == b, and false otherwise.
bool Z3_API Z3_algebraic_gt(Z3_context c, Z3_ast a, Z3_ast b)
Return true if a > b, and false otherwise.
bool Z3_API Z3_algebraic_neq(Z3_context c, Z3_ast a, Z3_ast b)
Return true if a != b, and false otherwise.
bool Z3_API Z3_algebraic_ge(Z3_context c, Z3_ast a, Z3_ast b)
Return true if a >= b, and false otherwise.
Z3_ast_vector Z3_API Z3_algebraic_get_poly(Z3_context c, Z3_ast a)
Return the coefficients of the defining polynomial.
unsigned Z3_API Z3_algebraic_get_i(Z3_context c, Z3_ast a)
Return which root of the polynomial the algebraic number represents.
bool Z3_API Z3_algebraic_is_neg(Z3_context c, Z3_ast a)
Return true if a is negative, and false otherwise.
Z3_ast Z3_API Z3_algebraic_div(Z3_context c, Z3_ast a, Z3_ast b)
Return the value a / b.
int Z3_API Z3_algebraic_eval(Z3_context c, Z3_ast p, unsigned n, Z3_ast a[])
Given a multivariate polynomial p(x_0, ..., x_{n-1}), return the sign of p(a[0], ....
bool Z3_API Z3_algebraic_lt(Z3_context c, Z3_ast a, Z3_ast b)
Return true if a < b, and false otherwise.
Z3_ast Z3_API Z3_algebraic_mul(Z3_context c, Z3_ast a, Z3_ast b)
Return the value a * b.
bool Z3_API Z3_algebraic_is_value(Z3_context c, Z3_ast a)
Return true if a can be used as value in the Z3 real algebraic number package.
Z3_ast Z3_API Z3_algebraic_power(Z3_context c, Z3_ast a, unsigned k)
Return the a^k.
int Z3_API Z3_algebraic_sign(Z3_context c, Z3_ast a)
Return 1 if a is positive, 0 if a is zero, and -1 if a is negative.
bool Z3_API Z3_algebraic_is_zero(Z3_context c, Z3_ast a)
Return true if a is zero, and false otherwise.
Z3_ast Z3_API Z3_algebraic_root(Z3_context c, Z3_ast a, unsigned k)
Return the a^(1/k)
Z3_ast Z3_API Z3_algebraic_sub(Z3_context c, Z3_ast a, Z3_ast b)
Return the value a - b.
bool Z3_API Z3_algebraic_le(Z3_context c, Z3_ast a, Z3_ast b)
Return true if a <= b, and false otherwise.
System.IntPtr Z3_context
Definition: Context.cs:29
System.IntPtr Z3_ast_vector
System.IntPtr Z3_ast