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Z3
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Z3
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Go to the source code of this file.
Functions | |
Real Closed Fields | |
| void Z3_API | Z3_rcf_del (Z3_context c, Z3_rcf_num a) |
| Delete a RCF numeral created using the RCF API. More... | |
| Z3_rcf_num Z3_API | Z3_rcf_mk_rational (Z3_context c, Z3_string val) |
| Return a RCF rational using the given string. More... | |
| Z3_rcf_num Z3_API | Z3_rcf_mk_small_int (Z3_context c, int val) |
| Return a RCF small integer. More... | |
| Z3_rcf_num Z3_API | Z3_rcf_mk_pi (Z3_context c) |
| Return Pi. More... | |
| Z3_rcf_num Z3_API | Z3_rcf_mk_e (Z3_context c) |
| Return e (Euler's constant) More... | |
| Z3_rcf_num Z3_API | Z3_rcf_mk_infinitesimal (Z3_context c) |
| Return a new infinitesimal that is smaller than all elements in the Z3 field. More... | |
| unsigned Z3_API | Z3_rcf_mk_roots (Z3_context c, unsigned n, Z3_rcf_num const a[], Z3_rcf_num roots[]) |
Store in roots the roots of the polynomial a[n-1]*x^{n-1} + ... + a[0]. The output vector roots must have size n. It returns the number of roots of the polynomial. More... | |
| Z3_rcf_num Z3_API | Z3_rcf_add (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return the value a + b. More... | |
| Z3_rcf_num Z3_API | Z3_rcf_sub (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return the value a - b. More... | |
| Z3_rcf_num Z3_API | Z3_rcf_mul (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return the value a * b. More... | |
| Z3_rcf_num Z3_API | Z3_rcf_div (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return the value a / b. More... | |
| Z3_rcf_num Z3_API | Z3_rcf_neg (Z3_context c, Z3_rcf_num a) |
Return the value -a. More... | |
| Z3_rcf_num Z3_API | Z3_rcf_inv (Z3_context c, Z3_rcf_num a) |
Return the value 1/a. More... | |
| Z3_rcf_num Z3_API | Z3_rcf_power (Z3_context c, Z3_rcf_num a, unsigned k) |
Return the value a^k. More... | |
| bool Z3_API | Z3_rcf_lt (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return true if a < b. More... | |
| bool Z3_API | Z3_rcf_gt (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return true if a > b. More... | |
| bool Z3_API | Z3_rcf_le (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return true if a <= b. More... | |
| bool Z3_API | Z3_rcf_ge (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return true if a >= b. More... | |
| bool Z3_API | Z3_rcf_eq (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return true if a == b. More... | |
| bool Z3_API | Z3_rcf_neq (Z3_context c, Z3_rcf_num a, Z3_rcf_num b) |
Return true if a != b. More... | |
| Z3_string Z3_API | Z3_rcf_num_to_string (Z3_context c, Z3_rcf_num a, bool compact, bool html) |
| Convert the RCF numeral into a string. More... | |
| Z3_string Z3_API | Z3_rcf_num_to_decimal_string (Z3_context c, Z3_rcf_num a, unsigned prec) |
| Convert the RCF numeral into a string in decimal notation. More... | |
| void Z3_API | Z3_rcf_get_numerator_denominator (Z3_context c, Z3_rcf_num a, Z3_rcf_num *n, Z3_rcf_num *d) |
Extract the "numerator" and "denominator" of the given RCF numeral. We have that a = n/d, moreover n and d are not represented using rational functions. More... | |
| bool Z3_API | Z3_rcf_is_rational (Z3_context c, Z3_rcf_num a) |
Return true if a represents a rational number. More... | |
| bool Z3_API | Z3_rcf_is_algebraic (Z3_context c, Z3_rcf_num a) |
Return true if a represents an algebraic number. More... | |
| bool Z3_API | Z3_rcf_is_infinitesimal (Z3_context c, Z3_rcf_num a) |
Return true if a represents an infinitesimal. More... | |
| bool Z3_API | Z3_rcf_is_transcendental (Z3_context c, Z3_rcf_num a) |
Return true if a represents a transcendental number. More... | |
| unsigned Z3_API | Z3_rcf_extension_index (Z3_context c, Z3_rcf_num a) |
| Return the index of a field extension. More... | |
| Z3_symbol Z3_API | Z3_rcf_transcendental_name (Z3_context c, Z3_rcf_num a) |
| Return the name of a transcendental. More... | |
| Z3_symbol Z3_API | Z3_rcf_infinitesimal_name (Z3_context c, Z3_rcf_num a) |
| Return the name of an infinitesimal. More... | |
| unsigned Z3_API | Z3_rcf_num_coefficients (Z3_context c, Z3_rcf_num a) |
| Return the number of coefficients in an algebraic number. More... | |
| Z3_rcf_num Z3_API | Z3_rcf_coefficient (Z3_context c, Z3_rcf_num a, unsigned i) |
| Extract a coefficient from an algebraic number. More... | |
| int Z3_API | Z3_rcf_interval (Z3_context c, Z3_rcf_num a, int *lower_is_inf, int *lower_is_open, Z3_rcf_num *lower, int *upper_is_inf, int *upper_is_open, Z3_rcf_num *upper) |
| Extract an interval from an algebraic number. More... | |
| unsigned Z3_API | Z3_rcf_num_sign_conditions (Z3_context c, Z3_rcf_num a) |
| Return the number of sign conditions of an algebraic number. More... | |
| int Z3_API | Z3_rcf_sign_condition_sign (Z3_context c, Z3_rcf_num a, unsigned i) |
| Extract the sign of a sign condition from an algebraic number. More... | |
| unsigned Z3_API | Z3_rcf_num_sign_condition_coefficients (Z3_context c, Z3_rcf_num a, unsigned i) |
| Return the number of sign condition polynomial coefficients of an algebraic number. More... | |
| Z3_rcf_num Z3_API | Z3_rcf_sign_condition_coefficient (Z3_context c, Z3_rcf_num a, unsigned i, unsigned j) |
| Extract the j-th polynomial coefficient of the i-th sign condition. More... | |
1.9.1