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...
Public Member Functions | |
expr (context &c) | |
expr (context &c, Z3_ast n) | |
expr (expr const &n) | |
expr & | operator= (expr const &n) |
sort | get_sort () const |
Return the sort of this expression. More... | |
bool | is_bool () const |
Return true if this is a Boolean expression. More... | |
bool | is_int () const |
Return true if this is an integer expression. More... | |
bool | is_real () const |
Return true if this is a real expression. More... | |
bool | is_arith () const |
Return true if this is an integer or real expression. More... | |
bool | is_bv () const |
Return true if this is a Bit-vector expression. More... | |
bool | is_array () const |
Return true if this is a Array expression. More... | |
bool | is_datatype () const |
Return true if this is a Datatype expression. More... | |
bool | is_relation () const |
Return true if this is a Relation expression. More... | |
bool | is_seq () const |
Return true if this is a sequence expression. More... | |
bool | is_re () const |
Return true if this is a regular expression. More... | |
bool | is_finite_domain () const |
Return true if this is a Finite-domain expression. More... | |
bool | is_fpa () const |
Return true if this is a FloatingPoint expression. . More... | |
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. More... | |
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 | is_app () const |
Return true if this expression is an application. More... | |
bool | is_const () const |
Return true if this expression is a constant (i.e., an application with 0 arguments). More... | |
bool | is_quantifier () const |
Return true if this expression is a quantifier. More... | |
bool | is_forall () const |
Return true if this expression is a universal quantifier. More... | |
bool | is_exists () const |
Return true if this expression is an existential quantifier. More... | |
bool | is_lambda () const |
Return true if this expression is a lambda expression. More... | |
bool | is_var () const |
Return true if this expression is a variable. More... | |
bool | is_algebraic () const |
Return true if expression is an algebraic number. More... | |
bool | is_well_sorted () const |
Return true if this expression is well sorted (aka type correct). More... | |
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. More... | |
unsigned | id () const |
retrieve unique identifier for expression. More... | |
int | get_numeral_int () const |
Return int value of numeral, throw if result cannot fit in machine int. More... | |
unsigned | get_numeral_uint () const |
Return uint value of numeral, throw if result cannot fit in machine uint. More... | |
int64_t | get_numeral_int64 () const |
Return int64_t value of numeral, throw if result cannot fit in int64_t . More... | |
uint64_t | get_numeral_uint64 () const |
Return uint64_t value of numeral, throw if result cannot fit in uint64_t . More... | |
Z3_lbool | bool_value () const |
expr | numerator () const |
expr | denominator () const |
std::string | get_escaped_string () const |
for a string value expression return an escaped or unescaped string value. More... | |
std::string | get_string () const |
operator Z3_app () const | |
sort | fpa_rounding_mode () |
Return a RoundingMode sort. More... | |
func_decl | decl () const |
Return the declaration associated with this application. This method assumes the expression is an application. More... | |
unsigned | num_args () const |
Return the number of arguments in this application. This method assumes the expression is an application. More... | |
expr | arg (unsigned i) const |
Return the i-th argument of this application. This method assumes the expression is an application. More... | |
expr | body () const |
Return the 'body' of this quantifier. More... | |
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) |
expr | rotate_right (unsigned i) |
expr | repeat (unsigned i) |
expr | extract (unsigned hi, unsigned lo) const |
unsigned | lo () const |
unsigned | hi () const |
expr | extract (expr const &offset, expr const &length) const |
sequence and regular expression operations. More... | |
expr | replace (expr const &src, expr const &dst) const |
expr | unit () const |
expr | contains (expr const &s) |
expr | at (expr const &index) const |
expr | nth (expr const &index) const |
expr | length () const |
expr | stoi () const |
expr | itos () const |
expr | loop (unsigned lo) |
create a looping regular expression. More... | |
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. More... | |
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. More... | |
expr | substitute (expr_vector const &src, expr_vector const &dst) |
Apply substitution. Replace src expressions by dst. More... | |
expr | substitute (expr_vector const &dst) |
Apply substitution. Replace bound variables by expressions. More... | |
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ast (context &c) | |
ast (context &c, Z3_ast n) | |
ast (ast const &s) | |
~ast () | |
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 |
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object (context &c) | |
object (object const &s) | |
context & | ctx () const |
Z3_error_code | check_error () const |
Friends | |
expr | operator! (expr const &a) |
Return an expression representing not(a) . More... | |
expr | operator&& (expr const &a, expr const &b) |
Return an expression representing a and b . More... | |
expr | operator&& (expr const &a, bool b) |
Return an expression representing a and b . The C++ Boolean value b is automatically converted into a Z3 Boolean constant. More... | |
expr | operator&& (bool a, expr const &b) |
Return an expression representing a and b . The C++ Boolean value a is automatically converted into a Z3 Boolean constant. More... | |
expr | operator|| (expr const &a, expr const &b) |
Return an expression representing a or b . More... | |
expr | operator|| (expr const &a, bool b) |
Return an expression representing a or b . The C++ Boolean value b is automatically converted into a Z3 Boolean constant. More... | |
expr | operator|| (bool a, expr const &b) |
Return an expression representing a or b . The C++ Boolean value a is automatically converted into a Z3 Boolean constant. More... | |
expr | implies (expr const &a, expr const &b) |
expr | implies (expr const &a, bool b) |
expr | implies (bool a, expr const &b) |
expr | mk_or (expr_vector const &args) |
expr | mk_and (expr_vector const &args) |
expr | ite (expr const &c, expr const &t, expr const &e) |
Create the if-then-else expression ite(c, t, e) More... | |
expr | distinct (expr_vector const &args) |
expr | concat (expr const &a, expr const &b) |
expr | concat (expr_vector const &args) |
expr | operator== (expr const &a, expr const &b) |
expr | operator== (expr const &a, int b) |
expr | operator== (int a, expr const &b) |
expr | operator!= (expr const &a, expr const &b) |
expr | operator!= (expr const &a, int b) |
expr | operator!= (int a, expr const &b) |
expr | operator+ (expr const &a, expr const &b) |
expr | operator+ (expr const &a, int b) |
expr | operator+ (int a, expr const &b) |
expr | sum (expr_vector const &args) |
expr | operator* (expr const &a, expr const &b) |
expr | operator* (expr const &a, int b) |
expr | operator* (int a, expr const &b) |
expr | pw (expr const &a, expr const &b) |
expr | pw (expr const &a, int b) |
expr | pw (int a, expr const &b) |
expr | mod (expr const &a, expr const &b) |
expr | mod (expr const &a, int b) |
expr | mod (int a, expr const &b) |
expr | rem (expr const &a, expr const &b) |
expr | rem (expr const &a, int b) |
expr | rem (int a, expr const &b) |
expr | is_int (expr const &e) |
expr | operator/ (expr const &a, expr const &b) |
expr | operator/ (expr const &a, int b) |
expr | operator/ (int a, expr const &b) |
expr | operator- (expr const &a) |
expr | operator- (expr const &a, expr const &b) |
expr | operator- (expr const &a, int b) |
expr | operator- (int a, expr const &b) |
expr | operator<= (expr const &a, expr const &b) |
expr | operator<= (expr const &a, int b) |
expr | operator<= (int a, expr const &b) |
expr | operator>= (expr const &a, expr const &b) |
expr | operator>= (expr const &a, int b) |
expr | operator>= (int a, expr const &b) |
expr | operator< (expr const &a, expr const &b) |
expr | operator< (expr const &a, int b) |
expr | operator< (int a, expr const &b) |
expr | operator> (expr const &a, expr const &b) |
expr | operator> (expr const &a, int b) |
expr | operator> (int a, expr const &b) |
expr | pble (expr_vector const &es, int const *coeffs, int bound) |
expr | pbge (expr_vector const &es, int const *coeffs, int bound) |
expr | pbeq (expr_vector const &es, int const *coeffs, int bound) |
expr | atmost (expr_vector const &es, unsigned bound) |
expr | atleast (expr_vector const &es, unsigned bound) |
expr | operator& (expr const &a, expr const &b) |
expr | operator& (expr const &a, int b) |
expr | operator& (int a, expr const &b) |
expr | operator^ (expr const &a, expr const &b) |
expr | operator^ (expr const &a, int b) |
expr | operator^ (int a, expr const &b) |
expr | operator| (expr const &a, expr const &b) |
expr | operator| (expr const &a, int b) |
expr | operator| (int a, expr const &b) |
expr | nand (expr const &a, expr const &b) |
expr | nor (expr const &a, expr const &b) |
expr | xnor (expr const &a, expr const &b) |
expr | min (expr const &a, expr const &b) |
expr | max (expr const &a, expr const &b) |
expr | abs (expr const &a) |
expr | sqrt (expr const &a, expr const &rm) |
expr | operator~ (expr const &a) |
expr | fma (expr const &a, expr const &b, expr const &c) |
FloatingPoint fused multiply-add. More... | |
expr | range (expr const &lo, expr const &hi) |
Additional Inherited Members | |
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Z3_ast | m_ast |
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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.
Definition at line 669 of file z3++.h.
Referenced by expr::arg(), expr::at(), expr::body(), expr::contains(), expr::denominator(), expr::extract(), expr::itos(), expr::length(), expr::loop(), expr::nth(), expr::numerator(), expr::repeat(), expr::replace(), expr::rotate_left(), expr::rotate_right(), expr::simplify(), expr::stoi(), expr::substitute(), and expr::unit().
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Return the i-th argument of this application. This method assumes the expression is an application.
Definition at line 949 of file z3++.h.
Referenced by AstRef::__bool__().
Definition at line 1164 of file z3++.h.
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Return the 'body' of this quantifier.
Definition at line 956 of file z3++.h.
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Definition at line 1158 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 934 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(), and expr::lo().
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Definition at line 890 of file z3++.h.
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Definition at line 1129 of file z3++.h.
sequence and regular expression operations.
Definition at line 1143 of file z3++.h.
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Return a RoundingMode sort.
Definition at line 920 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 793 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 814 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 850 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 833 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 867 of file z3++.h.
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Return the sort of this expression.
Definition at line 677 of file z3++.h.
Referenced by z3::ashr(), z3::concat(), 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(), z3::lshr(), z3::mod(), z3::operator!=(), z3::operator&(), z3::operator*(), z3::operator+(), z3::operator-(), z3::operator/(), z3::operator<(), z3::operator<=(), z3::operator==(), z3::operator>(), z3::operator>=(), z3::operator^(), z3::operator|(), z3::pw(), z3::rem(), z3::select(), z3::shl(), z3::smod(), z3::srem(), z3::store(), z3::udiv(), z3::uge(), z3::ugt(), z3::ule(), z3::ult(), and z3::urem().
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Definition at line 1131 of file z3++.h.
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retrieve unique identifier for expression.
Definition at line 802 of file z3++.h.
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Return true if expression is an algebraic number.
Definition at line 780 of file z3++.h.
Referenced by expr::get_decimal_string().
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Definition at line 1024 of file z3++.h.
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Return true if this expression is an application.
Definition at line 750 of file z3++.h.
Referenced by 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 694 of file z3++.h.
Referenced by z3::max(), z3::min(), z3::operator!=(), z3::operator*(), z3::operator+(), z3::operator-(), z3::operator/(), z3::operator<(), z3::operator<=(), z3::operator==(), z3::operator>(), and z3::operator>=().
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Return true if this is a Array expression.
Definition at line 702 of file z3++.h.
Referenced by expr::operator[]().
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Return true if this is a Boolean expression.
Definition at line 682 of file z3++.h.
Referenced by solver::add(), optimize::add(), z3::implies(), z3::ite(), z3::operator!(), z3::operator&&(), and z3::operator||().
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Return true if this is a Bit-vector expression.
Definition at line 698 of file z3++.h.
Referenced by z3::max(), z3::min(), z3::operator!=(), z3::operator*(), z3::operator+(), z3::operator-(), z3::operator/(), z3::operator<(), z3::operator<=(), z3::operator==(), z3::operator>(), and z3::operator>=().
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Return true if this expression is a constant (i.e., an application with 0 arguments).
Definition at line 754 of file z3++.h.
Referenced by solver::add().
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Return true if this is a Datatype expression.
Definition at line 706 of file z3++.h.
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Definition at line 1030 of file z3++.h.
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Definition at line 1028 of file z3++.h.
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Definition at line 1022 of file z3++.h.
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Return true if this is a Finite-domain expression.
Definition at line 728 of file z3++.h.
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Return true if this is a FloatingPoint expression. .
Definition at line 732 of file z3++.h.
Referenced by z3::fma(), expr::fpa_rounding_mode(), z3::max(), z3::min(), z3::operator!=(), z3::operator*(), z3::operator+(), z3::operator-(), z3::operator/(), z3::operator<(), z3::operator<=(), z3::operator==(), z3::operator>(), z3::rem(), and z3::sqrt().
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Definition at line 1027 of file z3++.h.
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Return true if this is an integer expression.
Definition at line 686 of file z3++.h.
Referenced by z3::abs().
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Definition at line 1029 of file z3++.h.
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Definition at line 1023 of file z3++.h.
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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 739 of file z3++.h.
Referenced by 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 744 of file z3++.h.
Referenced by expr::is_numeral().
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Definition at line 745 of file z3++.h.
Referenced by expr::is_numeral().
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Definition at line 746 of file z3++.h.
Referenced by expr::is_numeral().
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Definition at line 742 of file z3++.h.
Referenced by expr::get_numeral_int().
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Definition at line 740 of file z3++.h.
Referenced by expr::get_numeral_int64().
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Definition at line 743 of file z3++.h.
Referenced by expr::get_numeral_uint().
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Definition at line 741 of file z3++.h.
Referenced by expr::get_numeral_uint64().
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Definition at line 1025 of file z3++.h.
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Return true if this expression is a quantifier.
Definition at line 758 of file z3++.h.
Referenced by expr::body().
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Return true if this is a regular expression.
Definition at line 718 of file z3++.h.
Referenced by z3::operator+().
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Return true if this is a real expression.
Definition at line 690 of file z3++.h.
Referenced by z3::abs().
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Return true if this is a Relation expression.
Definition at line 710 of file z3++.h.
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Return true if this is a sequence expression.
Definition at line 714 of file z3++.h.
Referenced by z3::operator+(), and expr::operator[]().
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Definition at line 1021 of file z3++.h.
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Return true if this expression is a variable.
Definition at line 776 of file z3++.h.
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Definition at line 1026 of file z3++.h.
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Definition at line 1130 of file z3++.h.
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Definition at line 1170 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 941 of file z3++.h.
Referenced by AstRef::__bool__(), and expr::is_const().
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Definition at line 882 of file z3++.h.
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Definition at line 915 of file z3++.h.
index operator defined on arrays and sequences.
Definition at line 1210 of file z3++.h.
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Definition at line 1123 of file z3++.h.
Definition at line 1147 of file z3++.h.
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Definition at line 1121 of file z3++.h.
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Definition at line 1122 of file z3++.h.
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Apply substitution. Replace src expressions by dst.
Definition at line 3415 of file z3++.h.
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Definition at line 1993 of file z3++.h.
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Definition at line 2011 of file z3++.h.
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FloatingPoint fused multiply-add.
Create the if-then-else expression ite(c, t, e)
Definition at line 1621 of file z3++.h.
Definition at line 1568 of file z3++.h.
Definition at line 1553 of file z3++.h.
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Definition at line 1550 of file z3++.h.
Definition at line 1551 of file z3++.h.
Return an expression representing not(a)
.
Definition at line 1284 of file z3++.h.
Definition at line 1324 of file z3++.h.
Definition at line 1538 of file z3++.h.
Return an expression representing a and b
.
Definition at line 1290 of file z3++.h.
Return an expression representing a and b
. The C++ Boolean value b
is automatically converted into a Z3 Boolean constant.
Return an expression representing a and b
. The C++ Boolean value a
is automatically converted into a Z3 Boolean constant.
Definition at line 1364 of file z3++.h.
Definition at line 1334 of file z3++.h.
Definition at line 1446 of file z3++.h.
Definition at line 1405 of file z3++.h.
Definition at line 1494 of file z3++.h.
Definition at line 1469 of file z3++.h.
Definition at line 1315 of file z3++.h.
Definition at line 1516 of file z3++.h.
Definition at line 1388 of file z3++.h.
Definition at line 1542 of file z3++.h.
Definition at line 1546 of file z3++.h.
Return an expression representing a or b
.
Definition at line 1302 of file z3++.h.
Return an expression representing a or b
. The C++ Boolean value b
is automatically converted into a Z3 Boolean constant.
Return an expression representing a or b
. The C++ Boolean value a
is automatically converted into a Z3 Boolean constant.
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Definition at line 3358 of file z3++.h.
Definition at line 1599 of file z3++.h.
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Definition at line 1552 of file z3++.h.