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 | ext_rotate_left (expr const &n) const |
| expr | ext_rotate_right (expr const &n) 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 1155 of file z3++.h.
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Retrieve lower and upper bounds for algebraic numerals based on a decimal precision
Definition at line 1128 of file z3++.h.
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Return coefficients for p of an algebraic number (root-obj p i)
Definition at line 1145 of file z3++.h.
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Definition at line 1135 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 1316 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 1323 of file z3++.h.
Referenced by expr::update().
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Definition at line 997 of file z3++.h.
Definition at line 1619 of file z3++.h.
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Definition at line 1549 of file z3++.h.
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Return the 'body' of this quantifier.
Definition at line 1357 of file z3++.h.
Referenced by QuantifierRef::children().
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Definition at line 1666 of file z3++.h.
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Definition at line 1661 of file z3++.h.
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Definition at line 1656 of file z3++.h.
Definition at line 1613 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 1301 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 1253 of file z3++.h.
Referenced by RatNumRef::denominator_as_long(), and RatNumRef::is_int_value().
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Definition at line 1749 of file z3++.h.
Definition at line 1536 of file z3++.h.
Definition at line 1537 of file z3++.h.
sequence and regular expression operations.
Definition at line 1598 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 1120 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 1177 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 1213 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 1196 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 1230 of file z3++.h.
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Return the sort of this expression.
Definition at line 927 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 1272 of file z3++.h.
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for a string value expression return an unespaced string value.
Definition at line 1284 of file z3++.h.
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Definition at line 1551 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 1037 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 1007 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 944 of file z3++.h.
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Return true if this is a Array expression.
Definition at line 952 of file z3++.h.
Referenced by expr::operator[]().
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Return true if this is a Boolean expression.
Definition at line 932 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 948 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 1011 of file z3++.h.
Referenced by solver::add().
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Return true if this is a Datatype expression.
Definition at line 956 of file z3++.h.
Referenced by expr::update_field().
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Definition at line 1671 of file z3++.h.
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Return true if this is a Finite-domain expression.
Definition at line 978 of file z3++.h.
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Return true if this is a FloatingPoint expression. .
Definition at line 982 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 936 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 1028 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 989 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 996 of file z3++.h.
Referenced by expr::is_numeral().
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Definition at line 994 of file z3++.h.
Referenced by expr::is_numeral().
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Definition at line 995 of file z3++.h.
Referenced by expr::is_numeral().
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Definition at line 992 of file z3++.h.
Referenced by expr::get_numeral_int().
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Definition at line 990 of file z3++.h.
Referenced by expr::as_int64(), and expr::get_numeral_int64().
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Definition at line 993 of file z3++.h.
Referenced by expr::get_numeral_uint().
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Definition at line 991 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 1015 of file z3++.h.
Referenced by expr::body().
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Return true if this is a regular expression.
Definition at line 968 of file z3++.h.
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Return true if this is a real expression.
Definition at line 940 of file z3++.h.
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Return true if this is a Relation expression.
Definition at line 960 of file z3++.h.
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Return true if this is a sequence expression.
Definition at line 964 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 1265 of file z3++.h.
Referenced by expr::get_string(), and expr::get_u32string().
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Definition at line 1631 of file z3++.h.
Referenced by expr::extract().
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Definition at line 1550 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 1681 of file z3++.h.
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Convert this IEEE BV into a fpa.
Definition at line 1107 of file z3++.h.
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Return Boolean expression to test for whether an FP expression is inf.
Definition at line 1047 of file z3++.h.
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Return Boolean expression to test for whether an FP expression is a NaN.
Definition at line 1057 of file z3++.h.
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Return Boolean expression to test for whether an FP expression is a normal.
Definition at line 1067 of file z3++.h.
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Return Boolean expression to test for whether an FP expression is a subnormal.
Definition at line 1077 of file z3++.h.
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Return Boolean expression to test for whether an FP expression is a zero.
Definition at line 1087 of file z3++.h.
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Convert this fpa into an IEEE BV.
Definition at line 1097 of file z3++.h.
Definition at line 1625 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 1308 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 1245 of file z3++.h.
Referenced by RatNumRef::numerator_as_long().
index operator defined on arrays and sequences.
Definition at line 1695 of file z3++.h.
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Definition at line 1602 of file z3++.h.
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Definition at line 1651 of file z3++.h.
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Apply substitution. Replace bound variables by expressions.
Definition at line 4542 of file z3++.h.
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Apply substitution. Replace src expressions by dst.
Definition at line 4529 of file z3++.h.
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Apply function substitution by macro definitions.
Definition at line 4552 of file z3++.h.
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Definition at line 1646 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 4568 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 4578 of file z3++.h.
Definition at line 2126 of file z3++.h.
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bit-vector overflow/underflow checks
Definition at line 2378 of file z3++.h.
Definition at line 2381 of file z3++.h.
Definition at line 2396 of file z3++.h.
Definition at line 2399 of file z3++.h.
Definition at line 2390 of file z3++.h.
Definition at line 2384 of file z3++.h.
Definition at line 2387 of file z3++.h.
Definition at line 2608 of file z3++.h.
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Create an expression of FloatingPoint sort from three bit-vector expressions.
Definition at line 2170 of file z3++.h.
Conversion of a floating-point term into another floating-point.
Definition at line 2206 of file z3++.h.
Conversion of a floating-point term into a signed bit-vector.
Definition at line 2178 of file z3++.h.
Conversion of a floating-point term into an unsigned bit-vector.
Definition at line 2185 of file z3++.h.
Definition at line 1808 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 2225 of file z3++.h.
Definition at line 2098 of file z3++.h.
Definition at line 2082 of file z3++.h.
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Definition at line 1772 of file z3++.h.
Definition at line 2079 of file z3++.h.
Definition at line 2080 of file z3++.h.
Definition at line 2067 of file z3++.h.
Return an expression representing a and b.
Definition at line 1890 of file z3++.h.
Definition at line 1860 of file z3++.h.
Definition at line 1956 of file z3++.h.
Definition at line 1975 of file z3++.h.
Definition at line 1934 of file z3++.h.
Definition at line 2023 of file z3++.h.
Definition at line 1998 of file z3++.h.
Definition at line 2045 of file z3++.h.
Definition at line 1914 of file z3++.h.
Definition at line 2071 of file z3++.h.
Definition at line 2075 of file z3++.h.
Return an expression representing a or b.
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Definition at line 1788 of file z3++.h.
Round a floating-point term into its closest integer.
Definition at line 2213 of file z3++.h.
Conversion of a signed bit-vector term into a floating-point.
Definition at line 2192 of file z3++.h.
Definition at line 2146 of file z3++.h.
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Conversion of an unsigned bit-vector term into a floating-point.
Definition at line 2199 of file z3++.h.
Definition at line 2081 of file z3++.h.