A Z3 expression is used to represent formulas and terms. For Z3, a formula is any expression of sort Boolean. Every expression has a sort. More...
#include <z3++.h>
Inheritance diagram for expr:Data Structures | |
| class | iterator |
Public Member Functions | |
| expr (context &c) | |
| expr (context &c, Z3_ast n) | |
| sort | get_sort () const |
| Return the sort of this expression. | |
| bool | is_bool () const |
| Return true if this is a Boolean expression. | |
| bool | is_int () const |
| Return true if this is an integer expression. | |
| bool | is_real () const |
| Return true if this is a real expression. | |
| bool | is_arith () const |
| Return true if this is an integer or real expression. | |
| bool | is_bv () const |
| Return true if this is a Bit-vector expression. | |
| bool | is_array () const |
| Return true if this is a Array expression. | |
| bool | is_datatype () const |
| Return true if this is a Datatype expression. | |
| bool | is_relation () const |
| Return true if this is a Relation expression. | |
| bool | is_seq () const |
| Return true if this is a sequence expression. | |
| bool | is_re () const |
| Return true if this is a regular expression. | |
| bool | is_finite_domain () const |
| Return true if this is a Finite-domain expression. | |
| bool | is_fpa () const |
| Return true if this is a FloatingPoint expression. . | |
| bool | is_numeral () const |
| Return true if this expression is a numeral. Specialized functions also return representations for the numerals as small integers, 64 bit integers or rational or decimal strings. | |
| bool | is_numeral_i64 (int64_t &i) const |
| bool | is_numeral_u64 (uint64_t &i) const |
| bool | is_numeral_i (int &i) const |
| bool | is_numeral_u (unsigned &i) const |
| bool | is_numeral (std::string &s) const |
| bool | is_numeral (std::string &s, unsigned precision) const |
| bool | is_numeral (double &d) const |
| bool | as_binary (std::string &s) const |
| double | as_double () const |
| uint64_t | as_uint64 () const |
| int64_t | as_int64 () const |
| bool | is_app () const |
| Return true if this expression is an application. | |
| bool | is_const () const |
| Return true if this expression is a constant (i.e., an application with 0 arguments). | |
| bool | is_quantifier () const |
| Return true if this expression is a quantifier. | |
| bool | is_forall () const |
| Return true if this expression is a universal quantifier. | |
| bool | is_exists () const |
| Return true if this expression is an existential quantifier. | |
| bool | is_lambda () const |
| Return true if this expression is a lambda expression. | |
| bool | is_var () const |
| Return true if this expression is a variable. | |
| bool | is_algebraic () const |
| Return true if expression is an algebraic number. | |
| bool | is_well_sorted () const |
| Return true if this expression is well sorted (aka type correct). | |
| expr | mk_is_inf () const |
| Return Boolean expression to test for whether an FP expression is inf. | |
| expr | mk_is_nan () const |
| Return Boolean expression to test for whether an FP expression is a NaN. | |
| expr | mk_is_normal () const |
| Return Boolean expression to test for whether an FP expression is a normal. | |
| expr | mk_is_subnormal () const |
| Return Boolean expression to test for whether an FP expression is a subnormal. | |
| expr | mk_is_zero () const |
| Return Boolean expression to test for whether an FP expression is a zero. | |
| expr | mk_to_ieee_bv () const |
| Convert this fpa into an IEEE BV. | |
| expr | mk_from_ieee_bv (sort const &s) const |
| Convert this IEEE BV into a fpa. | |
| std::string | get_decimal_string (int precision) const |
| Return string representation of numeral or algebraic number This method assumes the expression is numeral or algebraic. | |
| expr | algebraic_lower (unsigned precision) const |
| expr | algebraic_upper (unsigned precision) const |
| expr_vector | algebraic_poly () const |
| Return coefficients for p of an algebraic number (root-obj p i) | |
| unsigned | algebraic_i () const |
| Return i of an algebraic number (root-obj p i) | |
| unsigned | id () const |
| retrieve unique identifier for expression. | |
| int | get_numeral_int () const |
| Return int value of numeral, throw if result cannot fit in machine int. | |
| unsigned | get_numeral_uint () const |
| Return uint value of numeral, throw if result cannot fit in machine uint. | |
| int64_t | get_numeral_int64 () const |
Return int64_t value of numeral, throw if result cannot fit in int64_t. | |
| uint64_t | get_numeral_uint64 () const |
Return uint64_t value of numeral, throw if result cannot fit in uint64_t. | |
| Z3_lbool | bool_value () const |
| expr | numerator () const |
| expr | denominator () const |
| bool | is_string_value () const |
Return true if this expression is a string literal. The string can be accessed using get_string() and get_escaped_string() | |
| std::string | get_string () const |
| for a string value expression return an escaped string value. | |
| std::u32string | get_u32string () const |
| for a string value expression return an unespaced string value. | |
| operator Z3_app () const | |
| func_decl | decl () const |
| Return the declaration associated with this application. This method assumes the expression is an application. | |
| unsigned | num_args () const |
| Return the number of arguments in this application. This method assumes the expression is an application. | |
| expr | arg (unsigned i) const |
| Return the i-th argument of this application. This method assumes the expression is an application. | |
| expr_vector | args () const |
| Return a vector of all the arguments of this application. This method assumes the expression is an application. | |
| expr | update (expr_vector const &args) const |
| Update the arguments of this application. Return a new expression with the same function declaration and updated arguments. The number of new arguments must match the current number of arguments. | |
| expr | body () const |
| Return the 'body' of this quantifier. | |
| bool | is_true () const |
| bool | is_false () const |
| bool | is_not () const |
| bool | is_and () const |
| bool | is_or () const |
| bool | is_xor () const |
| bool | is_implies () const |
| bool | is_eq () const |
| bool | is_ite () const |
| bool | is_distinct () const |
| expr | rotate_left (unsigned i) const |
| expr | rotate_right (unsigned i) const |
| expr | repeat (unsigned i) const |
| expr | extract (unsigned hi, unsigned lo) const |
| expr | bit2bool (unsigned i) const |
| unsigned | lo () const |
| unsigned | hi () const |
| expr | extract (expr const &offset, expr const &length) const |
| sequence and regular expression operations. | |
| expr | replace (expr const &src, expr const &dst) const |
| expr | unit () const |
| expr | contains (expr const &s) const |
| expr | at (expr const &index) const |
| expr | nth (expr const &index) const |
| expr | length () const |
| expr | stoi () const |
| expr | itos () const |
| expr | ubvtos () const |
| expr | sbvtos () const |
| expr | char_to_int () const |
| expr | char_to_bv () const |
| expr | char_from_bv () const |
| expr | is_digit () const |
| expr | loop (unsigned lo) |
| create a looping regular expression. | |
| expr | loop (unsigned lo, unsigned hi) |
| expr | operator[] (expr const &index) const |
| expr | operator[] (expr_vector const &index) const |
| expr | simplify () const |
| Return a simplified version of this expression. | |
| expr | simplify (params const &p) const |
Return a simplified version of this expression. The parameter p is a set of parameters for the Z3 simplifier. | |
| expr | substitute (expr_vector const &src, expr_vector const &dst) |
| Apply substitution. Replace src expressions by dst. | |
| expr | substitute (expr_vector const &dst) |
| Apply substitution. Replace bound variables by expressions. | |
| expr | substitute (func_decl_vector const &funs, expr_vector const &bodies) |
| Apply function substitution by macro definitions. | |
| iterator | begin () |
| iterator | end () |
Public Member Functions inherited from ast | |
| ast (context &c) | |
| ast (context &c, Z3_ast n) | |
| ast (ast const &s) | |
| ~ast () override | |
| operator Z3_ast () const | |
| operator bool () const | |
| ast & | operator= (ast const &s) |
| Z3_ast_kind | kind () const |
| unsigned | hash () const |
| std::string | to_string () const |
Public Member Functions inherited from object | |
| object (context &c) | |
| virtual | ~object ()=default |
| context & | ctx () const |
| Z3_error_code | check_error () const |
Additional Inherited Members | |
Protected Attributes inherited from ast | |
| Z3_ast | m_ast |
Protected Attributes inherited from object | |
| context * | m_ctx |
A Z3 expression is used to represent formulas and terms. For Z3, a formula is any expression of sort Boolean. Every expression has a sort.
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Return i of an algebraic number (root-obj p i)
Definition at line 1094 of file z3++.h.
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Retrieve lower and upper bounds for algebraic numerals based on a decimal precision
Definition at line 1067 of file z3++.h.
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Return coefficients for p of an algebraic number (root-obj p i)
Definition at line 1084 of file z3++.h.
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Definition at line 1074 of file z3++.h.
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Return the i-th argument of this application. This method assumes the expression is an application.
Definition at line 1255 of file z3++.h.
Referenced by AstRef::__bool__(), expr::args(), ExprRef::children(), and expr::iterator::operator*().
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Return a vector of all the arguments of this application. This method assumes the expression is an application.
Definition at line 1262 of file z3++.h.
Referenced by expr::update().
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Definition at line 936 of file z3++.h.
Definition at line 1545 of file z3++.h.
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Definition at line 1475 of file z3++.h.
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Return the 'body' of this quantifier.
Definition at line 1285 of file z3++.h.
Referenced by QuantifierRef::children().
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Definition at line 1592 of file z3++.h.
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Definition at line 1587 of file z3++.h.
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Definition at line 1582 of file z3++.h.
Definition at line 1539 of file z3++.h.
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Return the declaration associated with this application. This method assumes the expression is an application.
Definition at line 1240 of file z3++.h.
Referenced by expr::hi(), expr::is_and(), expr::is_distinct(), expr::is_eq(), expr::is_false(), expr::is_implies(), expr::is_ite(), expr::is_not(), expr::is_or(), expr::is_true(), expr::is_xor(), expr::lo(), and ExprRef::params().
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Definition at line 1192 of file z3++.h.
Referenced by RatNumRef::denominator_as_long(), and RatNumRef::is_int_value().
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Definition at line 1675 of file z3++.h.
sequence and regular expression operations.
Definition at line 1524 of file z3++.h.
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Return string representation of numeral or algebraic number This method assumes the expression is numeral or algebraic.
Definition at line 1059 of file z3++.h.
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Return int value of numeral, throw if result cannot fit in machine int.
It only makes sense to use this function if the caller can ensure that the result is an integer or if exceptions are enabled. If exceptions are disabled, then use the is_numeral_i function.
Definition at line 1116 of file z3++.h.
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Return int64_t value of numeral, throw if result cannot fit in int64_t.
Definition at line 1152 of file z3++.h.
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Return uint value of numeral, throw if result cannot fit in machine uint.
It only makes sense to use this function if the caller can ensure that the result is an integer or if exceptions are enabled. If exceptions are disabled, then use the is_numeral_u function.
Definition at line 1135 of file z3++.h.
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Return uint64_t value of numeral, throw if result cannot fit in uint64_t.
Definition at line 1169 of file z3++.h.
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Return the sort of this expression.
Definition at line 866 of file z3++.h.
Referenced by expr::is_arith(), expr::is_array(), expr::is_bool(), expr::is_bv(), expr::is_datatype(), expr::is_finite_domain(), expr::is_fpa(), expr::is_int(), expr::is_re(), expr::is_real(), expr::is_relation(), expr::is_seq(), and ModelRef::sorts().
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for a string value expression return an escaped string value.
Definition at line 1211 of file z3++.h.
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for a string value expression return an unespaced string value.
Definition at line 1223 of file z3++.h.
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Definition at line 1477 of file z3++.h.
Referenced by expr::extract(), and expr::loop().
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Return true if expression is an algebraic number.
Definition at line 976 of file z3++.h.
Referenced by expr::algebraic_i(), expr::algebraic_lower(), expr::algebraic_poly(), expr::algebraic_upper(), and expr::get_decimal_string().
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Return true if this expression is an application.
Definition at line 946 of file z3++.h.
Referenced by expr::end(), expr::hi(), expr::is_and(), expr::is_const(), expr::is_distinct(), expr::is_eq(), expr::is_false(), expr::is_implies(), expr::is_ite(), expr::is_not(), expr::is_or(), expr::is_true(), expr::is_xor(), expr::lo(), and expr::operator Z3_app().
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Return true if this is an integer or real expression.
Definition at line 883 of file z3++.h.
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Return true if this is a Array expression.
Definition at line 891 of file z3++.h.
Referenced by expr::operator[]().
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Return true if this is a Boolean expression.
Definition at line 871 of file z3++.h.
Referenced by solver::add(), optimize::add(), optimize::add(), solver::add(), optimize::add(), optimize::add_soft(), and optimize::add_soft().
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Return true if this is a Bit-vector expression.
Definition at line 887 of file z3++.h.
Referenced by expr::mk_from_ieee_bv().
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Return true if this expression is a constant (i.e., an application with 0 arguments).
Definition at line 950 of file z3++.h.
Referenced by solver::add().
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Return true if this is a Datatype expression.
Definition at line 895 of file z3++.h.
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Definition at line 1597 of file z3++.h.
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Return true if this is a Finite-domain expression.
Definition at line 917 of file z3++.h.
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Return true if this is a FloatingPoint expression. .
Definition at line 921 of file z3++.h.
Referenced by expr::mk_is_inf(), expr::mk_is_nan(), expr::mk_is_normal(), expr::mk_is_subnormal(), expr::mk_is_zero(), and expr::mk_to_ieee_bv().
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Return true if this is an integer expression.
Definition at line 875 of file z3++.h.
Referenced by IntNumRef::as_long(), and ArithSortRef::subsort().
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Return true if this expression is a lambda expression.
Definition at line 967 of file z3++.h.
Referenced by QuantifierRef::__getitem__(), and QuantifierRef::sort().
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Return true if this expression is a numeral. Specialized functions also return representations for the numerals as small integers, 64 bit integers or rational or decimal strings.
Definition at line 928 of file z3++.h.
Referenced by expr::as_binary(), expr::as_double(), expr::denominator(), expr::get_decimal_string(), expr::get_numeral_int64(), expr::get_numeral_uint(), expr::get_numeral_uint64(), and expr::numerator().
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Definition at line 935 of file z3++.h.
Referenced by expr::is_numeral().
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Definition at line 933 of file z3++.h.
Referenced by expr::is_numeral().
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Definition at line 934 of file z3++.h.
Referenced by expr::is_numeral().
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Definition at line 931 of file z3++.h.
Referenced by expr::get_numeral_int().
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Definition at line 929 of file z3++.h.
Referenced by expr::as_int64(), and expr::get_numeral_int64().
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Definition at line 932 of file z3++.h.
Referenced by expr::get_numeral_uint().
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Definition at line 930 of file z3++.h.
Referenced by expr::as_uint64(), and expr::get_numeral_uint64().
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Return true if this expression is a quantifier.
Definition at line 954 of file z3++.h.
Referenced by expr::body().
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Return true if this is a regular expression.
Definition at line 907 of file z3++.h.
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Return true if this is a real expression.
Definition at line 879 of file z3++.h.
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Return true if this is a Relation expression.
Definition at line 899 of file z3++.h.
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Return true if this is a sequence expression.
Definition at line 903 of file z3++.h.
Referenced by expr::operator[]().
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Return true if this expression is a string literal. The string can be accessed using get_string() and get_escaped_string()
Definition at line 1204 of file z3++.h.
Referenced by expr::get_string(), and expr::get_u32string().
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Definition at line 1557 of file z3++.h.
Referenced by expr::extract().
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Definition at line 1476 of file z3++.h.
Referenced by expr::extract(), expr::loop(), and expr::loop().
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create a looping regular expression.
Definition at line 1607 of file z3++.h.
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Convert this IEEE BV into a fpa.
Definition at line 1046 of file z3++.h.
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Return Boolean expression to test for whether an FP expression is inf.
Definition at line 986 of file z3++.h.
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Return Boolean expression to test for whether an FP expression is a NaN.
Definition at line 996 of file z3++.h.
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Return Boolean expression to test for whether an FP expression is a normal.
Definition at line 1006 of file z3++.h.
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Return Boolean expression to test for whether an FP expression is a subnormal.
Definition at line 1016 of file z3++.h.
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Return Boolean expression to test for whether an FP expression is a zero.
Definition at line 1026 of file z3++.h.
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Convert this fpa into an IEEE BV.
Definition at line 1036 of file z3++.h.
Definition at line 1551 of file z3++.h.
Referenced by expr::operator[]().
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Return the number of arguments in this application. This method assumes the expression is an application.
Definition at line 1247 of file z3++.h.
Referenced by AstRef::__bool__(), ExprRef::arg(), FuncEntry::arg_value(), expr::args(), FuncEntry::as_list(), ExprRef::children(), expr::end(), expr::is_const(), and ExprRef::update().
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Definition at line 1184 of file z3++.h.
Referenced by RatNumRef::numerator_as_long().
index operator defined on arrays and sequences.
Definition at line 1621 of file z3++.h.
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Definition at line 1528 of file z3++.h.
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Definition at line 1577 of file z3++.h.
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Apply substitution. Replace bound variables by expressions.
Definition at line 4399 of file z3++.h.
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Apply substitution. Replace src expressions by dst.
Definition at line 4386 of file z3++.h.
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Apply function substitution by macro definitions.
Definition at line 4409 of file z3++.h.
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Definition at line 1572 of file z3++.h.
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Update the arguments of this application. Return a new expression with the same function declaration and updated arguments. The number of new arguments must match the current number of arguments.
Definition at line 4425 of file z3++.h.
Definition at line 2052 of file z3++.h.
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bit-vector overflow/underflow checks
Definition at line 2304 of file z3++.h.
Definition at line 2307 of file z3++.h.
Definition at line 2322 of file z3++.h.
Definition at line 2325 of file z3++.h.
Definition at line 2316 of file z3++.h.
Definition at line 2310 of file z3++.h.
Definition at line 2313 of file z3++.h.
Definition at line 2534 of file z3++.h.
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Create an expression of FloatingPoint sort from three bit-vector expressions.
Definition at line 2096 of file z3++.h.
Conversion of a floating-point term into another floating-point.
Definition at line 2132 of file z3++.h.
Conversion of a floating-point term into a signed bit-vector.
Definition at line 2104 of file z3++.h.
Conversion of a floating-point term into an unsigned bit-vector.
Definition at line 2111 of file z3++.h.
Definition at line 1734 of file z3++.h.
Referenced by IntNumRef::as_long(), and ArithSortRef::subsort().
Create the if-then-else expression ite(c, t, e)
Definition at line 2151 of file z3++.h.
Definition at line 2024 of file z3++.h.
Definition at line 2008 of file z3++.h.
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Definition at line 1698 of file z3++.h.
Definition at line 2005 of file z3++.h.
Definition at line 2006 of file z3++.h.
Definition at line 1993 of file z3++.h.
Return an expression representing a and b.
Definition at line 1816 of file z3++.h.
Definition at line 1786 of file z3++.h.
Definition at line 1882 of file z3++.h.
Definition at line 1901 of file z3++.h.
Definition at line 1860 of file z3++.h.
Definition at line 1949 of file z3++.h.
Definition at line 1924 of file z3++.h.
Definition at line 1971 of file z3++.h.
Definition at line 1840 of file z3++.h.
Definition at line 1997 of file z3++.h.
Definition at line 2001 of file z3++.h.
Return an expression representing a or b.
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Definition at line 1714 of file z3++.h.
Round a floating-point term into its closest integer.
Definition at line 2139 of file z3++.h.
Conversion of a signed bit-vector term into a floating-point.
Definition at line 2118 of file z3++.h.
Definition at line 2072 of file z3++.h.
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Conversion of an unsigned bit-vector term into a floating-point.
Definition at line 2125 of file z3++.h.
Definition at line 2007 of file z3++.h.