Z3
z3_algebraic.h File Reference

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Functions

Algebraic Numbers
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. More...
 
bool Z3_API Z3_algebraic_is_pos (Z3_context c, Z3_ast a)
 Return true if a is positive, and false otherwise. More...
 
bool Z3_API Z3_algebraic_is_neg (Z3_context c, Z3_ast a)
 Return true if a is negative, and false otherwise. More...
 
bool Z3_API Z3_algebraic_is_zero (Z3_context c, Z3_ast a)
 Return true if a is zero, and false otherwise. More...
 
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. More...
 
Z3_ast Z3_API Z3_algebraic_add (Z3_context c, Z3_ast a, Z3_ast b)
 Return the value a + b. More...
 
Z3_ast Z3_API Z3_algebraic_sub (Z3_context c, Z3_ast a, Z3_ast b)
 Return the value a - b. More...
 
Z3_ast Z3_API Z3_algebraic_mul (Z3_context c, Z3_ast a, Z3_ast b)
 Return the value a * b. More...
 
Z3_ast Z3_API Z3_algebraic_div (Z3_context c, Z3_ast a, Z3_ast b)
 Return the value a / b. More...
 
Z3_ast Z3_API Z3_algebraic_root (Z3_context c, Z3_ast a, unsigned k)
 Return the a^(1/k) More...
 
Z3_ast Z3_API Z3_algebraic_power (Z3_context c, Z3_ast a, unsigned k)
 Return the a^k. More...
 
bool Z3_API Z3_algebraic_lt (Z3_context c, Z3_ast a, Z3_ast b)
 Return true if a < b, and false otherwise. More...
 
bool Z3_API Z3_algebraic_gt (Z3_context c, Z3_ast a, Z3_ast b)
 Return true if a > b, and false otherwise. More...
 
bool Z3_API Z3_algebraic_le (Z3_context c, Z3_ast a, Z3_ast b)
 Return true if a <= b, and false otherwise. More...
 
bool Z3_API Z3_algebraic_ge (Z3_context c, Z3_ast a, Z3_ast b)
 Return true if a >= b, and false otherwise. More...
 
bool Z3_API Z3_algebraic_eq (Z3_context c, Z3_ast a, Z3_ast b)
 Return true if a == b, and false otherwise. More...
 
bool Z3_API Z3_algebraic_neq (Z3_context c, Z3_ast a, Z3_ast b)
 Return true if a != b, and false otherwise. More...
 
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 polynomial p(a[0], ..., a[n-1], x_n). More...
 
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], ..., a[n-1]). More...
 
Z3_ast_vector Z3_API Z3_algebraic_get_poly (Z3_context c, Z3_ast a)
 Return the coefficients of the defining polynomial. More...
 
unsigned Z3_API Z3_algebraic_get_i (Z3_context c, Z3_ast a)
 Return which root of the polynomial the algebraic number represents. More...