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 | update_field (func_decl const &field_access, expr const &new_value) const |
| Update a datatype field. Return a new datatype expression with the specified field updated to the new value. The remaining fields are unchanged. | |
| 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 1113 of file z3++.h.
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Retrieve lower and upper bounds for algebraic numerals based on a decimal precision
Definition at line 1086 of file z3++.h.
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Return coefficients for p of an algebraic number (root-obj p i)
Definition at line 1103 of file z3++.h.
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Definition at line 1093 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 1274 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 1281 of file z3++.h.
Referenced by expr::update().
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Definition at line 955 of file z3++.h.
Definition at line 1575 of file z3++.h.
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Definition at line 1505 of file z3++.h.
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Return the 'body' of this quantifier.
Definition at line 1315 of file z3++.h.
Referenced by QuantifierRef::children().
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Definition at line 1622 of file z3++.h.
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Definition at line 1617 of file z3++.h.
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Definition at line 1612 of file z3++.h.
Definition at line 1569 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 1259 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 1211 of file z3++.h.
Referenced by RatNumRef::denominator_as_long(), and RatNumRef::is_int_value().
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Definition at line 1705 of file z3++.h.
sequence and regular expression operations.
Definition at line 1554 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 1078 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 1135 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 1171 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 1154 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 1188 of file z3++.h.
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Return the sort of this expression.
Definition at line 885 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 1230 of file z3++.h.
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for a string value expression return an unespaced string value.
Definition at line 1242 of file z3++.h.
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Definition at line 1507 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 995 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 965 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 902 of file z3++.h.
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Return true if this is a Array expression.
Definition at line 910 of file z3++.h.
Referenced by expr::operator[]().
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Return true if this is a Boolean expression.
Definition at line 890 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 906 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 969 of file z3++.h.
Referenced by solver::add().
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Return true if this is a Datatype expression.
Definition at line 914 of file z3++.h.
Referenced by expr::update_field().
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Definition at line 1627 of file z3++.h.
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Return true if this is a Finite-domain expression.
Definition at line 936 of file z3++.h.
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Return true if this is a FloatingPoint expression. .
Definition at line 940 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 894 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 986 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 947 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 954 of file z3++.h.
Referenced by expr::is_numeral().
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Definition at line 952 of file z3++.h.
Referenced by expr::is_numeral().
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Definition at line 953 of file z3++.h.
Referenced by expr::is_numeral().
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Definition at line 950 of file z3++.h.
Referenced by expr::get_numeral_int().
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Definition at line 948 of file z3++.h.
Referenced by expr::as_int64(), and expr::get_numeral_int64().
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Definition at line 951 of file z3++.h.
Referenced by expr::get_numeral_uint().
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Definition at line 949 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 973 of file z3++.h.
Referenced by expr::body().
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Return true if this is a regular expression.
Definition at line 926 of file z3++.h.
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Return true if this is a real expression.
Definition at line 898 of file z3++.h.
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Return true if this is a Relation expression.
Definition at line 918 of file z3++.h.
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Return true if this is a sequence expression.
Definition at line 922 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 1223 of file z3++.h.
Referenced by expr::get_string(), and expr::get_u32string().
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Definition at line 1587 of file z3++.h.
Referenced by expr::extract().
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Definition at line 1506 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 1637 of file z3++.h.
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Convert this IEEE BV into a fpa.
Definition at line 1065 of file z3++.h.
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Return Boolean expression to test for whether an FP expression is inf.
Definition at line 1005 of file z3++.h.
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Return Boolean expression to test for whether an FP expression is a NaN.
Definition at line 1015 of file z3++.h.
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Return Boolean expression to test for whether an FP expression is a normal.
Definition at line 1025 of file z3++.h.
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Return Boolean expression to test for whether an FP expression is a subnormal.
Definition at line 1035 of file z3++.h.
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Return Boolean expression to test for whether an FP expression is a zero.
Definition at line 1045 of file z3++.h.
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Convert this fpa into an IEEE BV.
Definition at line 1055 of file z3++.h.
Definition at line 1581 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 1266 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 1203 of file z3++.h.
Referenced by RatNumRef::numerator_as_long().
index operator defined on arrays and sequences.
Definition at line 1651 of file z3++.h.
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Definition at line 1558 of file z3++.h.
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Definition at line 1607 of file z3++.h.
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Apply substitution. Replace bound variables by expressions.
Definition at line 4449 of file z3++.h.
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Apply substitution. Replace src expressions by dst.
Definition at line 4436 of file z3++.h.
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Apply function substitution by macro definitions.
Definition at line 4459 of file z3++.h.
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Definition at line 1602 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 4475 of file z3++.h.
Update a datatype field. Return a new datatype expression with the specified field updated to the new value. The remaining fields are unchanged.
| field_access | The accessor function declaration for the field to update |
| new_value | The new value for the field |
Definition at line 4485 of file z3++.h.
Definition at line 2082 of file z3++.h.
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bit-vector overflow/underflow checks
Definition at line 2334 of file z3++.h.
Definition at line 2337 of file z3++.h.
Definition at line 2352 of file z3++.h.
Definition at line 2355 of file z3++.h.
Definition at line 2346 of file z3++.h.
Definition at line 2340 of file z3++.h.
Definition at line 2343 of file z3++.h.
Definition at line 2564 of file z3++.h.
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Create an expression of FloatingPoint sort from three bit-vector expressions.
Definition at line 2126 of file z3++.h.
Conversion of a floating-point term into another floating-point.
Definition at line 2162 of file z3++.h.
Conversion of a floating-point term into a signed bit-vector.
Definition at line 2134 of file z3++.h.
Conversion of a floating-point term into an unsigned bit-vector.
Definition at line 2141 of file z3++.h.
Definition at line 1764 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 2181 of file z3++.h.
Definition at line 2054 of file z3++.h.
Definition at line 2038 of file z3++.h.
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Definition at line 1728 of file z3++.h.
Definition at line 2035 of file z3++.h.
Definition at line 2036 of file z3++.h.
Definition at line 2023 of file z3++.h.
Return an expression representing a and b.
Definition at line 1846 of file z3++.h.
Definition at line 1816 of file z3++.h.
Definition at line 1912 of file z3++.h.
Definition at line 1931 of file z3++.h.
Definition at line 1890 of file z3++.h.
Definition at line 1979 of file z3++.h.
Definition at line 1954 of file z3++.h.
Definition at line 2001 of file z3++.h.
Definition at line 1870 of file z3++.h.
Definition at line 2027 of file z3++.h.
Definition at line 2031 of file z3++.h.
Return an expression representing a or b.
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Definition at line 1744 of file z3++.h.
Round a floating-point term into its closest integer.
Definition at line 2169 of file z3++.h.
Conversion of a signed bit-vector term into a floating-point.
Definition at line 2148 of file z3++.h.
Definition at line 2102 of file z3++.h.
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Conversion of an unsigned bit-vector term into a floating-point.
Definition at line 2155 of file z3++.h.
Definition at line 2037 of file z3++.h.