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_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_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_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... | |
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 |
operator Z3_app () const | |
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... | |
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 | 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 | 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 | operator~ (expr const &a) |
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 605 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::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 831 of file z3++.h.
Referenced by AstRef::__bool__().
Definition at line 1025 of file z3++.h.
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Return the 'body' of this quantifier.
Definition at line 838 of file z3++.h.
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Definition at line 1019 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 816 of file z3++.h.
Referenced by expr::hi(), and expr::lo().
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Definition at line 801 of file z3++.h.
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Definition at line 995 of file z3++.h.
sequence and regular expression operations.
Definition at line 1004 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 710 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 725 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 761 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 744 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 778 of file z3++.h.
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Return the sort of this expression.
Definition at line 613 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_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 997 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 697 of file z3++.h.
Referenced by expr::get_decimal_string().
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Return true if this expression is an application.
Definition at line 681 of file z3++.h.
Referenced by expr::hi(), expr::is_const(), expr::lo(), and expr::operator Z3_app().
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Return true if this is an integer or real expression.
Definition at line 630 of file z3++.h.
Referenced by 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 638 of file z3++.h.
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Return true if this is a Boolean expression.
Definition at line 618 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 634 of file z3++.h.
Referenced by 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 685 of file z3++.h.
Referenced by solver::add().
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Return true if this is a Datatype expression.
Definition at line 642 of file z3++.h.
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Return true if this is a Finite-domain expression.
Definition at line 664 of file z3++.h.
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Return true if this is an integer expression.
Definition at line 622 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 671 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 676 of file z3++.h.
Referenced by expr::is_numeral().
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Definition at line 677 of file z3++.h.
Referenced by expr::is_numeral().
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Definition at line 674 of file z3++.h.
Referenced by expr::get_numeral_int().
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Definition at line 672 of file z3++.h.
Referenced by expr::get_numeral_int64().
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Definition at line 675 of file z3++.h.
Referenced by expr::get_numeral_uint().
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Definition at line 673 of file z3++.h.
Referenced by expr::get_numeral_uint64().
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Return true if this expression is a quantifier.
Definition at line 689 of file z3++.h.
Referenced by expr::body().
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Return true if this is a regular expression.
Definition at line 654 of file z3++.h.
Referenced by z3::operator+().
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Return true if this is a real expression.
Definition at line 626 of file z3++.h.
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Return true if this is a Relation expression.
Definition at line 646 of file z3++.h.
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Return true if this is a sequence expression.
Definition at line 650 of file z3++.h.
Referenced by z3::operator+().
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Return true if this expression is a variable.
Definition at line 693 of file z3++.h.
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Definition at line 1031 of file z3++.h.
Referenced by expr::extract().
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Definition at line 996 of file z3++.h.
Referenced by expr::extract(), and expr::loop().
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Return the number of arguments in this application. This method assumes the expression is an application.
Definition at line 823 of file z3++.h.
Referenced by AstRef::__bool__(), and expr::is_const().
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Definition at line 793 of file z3++.h.
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Definition at line 808 of file z3++.h.
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Definition at line 992 of file z3++.h.
Definition at line 1008 of file z3++.h.
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Definition at line 990 of file z3++.h.
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Definition at line 991 of file z3++.h.
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Apply substitution. Replace src expressions by dst.
Definition at line 2948 of file z3++.h.
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Definition at line 1676 of file z3++.h.
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Definition at line 1668 of file z3++.h.
Definition at line 1702 of file z3++.h.
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Definition at line 1720 of file z3++.h.
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Definition at line 1693 of file z3++.h.
Create the if-then-else expression ite(c, t, e)
Definition at line 1375 of file z3++.h.
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Definition at line 1361 of file z3++.h.
Definition at line 1362 of file z3++.h.
Definition at line 1349 of file z3++.h.
Return an expression representing a and b
.
Definition at line 1125 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.
Return an expression representing not(a)
.
Definition at line 1119 of file z3++.h.
Definition at line 1159 of file z3++.h.
Definition at line 1196 of file z3++.h.
Definition at line 1169 of file z3++.h.
Definition at line 1269 of file z3++.h.
Definition at line 1234 of file z3++.h.
Definition at line 1311 of file z3++.h.
Definition at line 1289 of file z3++.h.
Definition at line 1150 of file z3++.h.
Definition at line 1330 of file z3++.h.
Definition at line 1217 of file z3++.h.
Definition at line 1353 of file z3++.h.
Definition at line 1357 of file z3++.h.
Return an expression representing a or b
.
Definition at line 1137 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 1660 of file z3++.h.
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Definition at line 1652 of file z3++.h.
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Definition at line 1644 of file z3++.h.
Definition at line 2868 of file z3++.h.
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Definition at line 1684 of file z3++.h.
Definition at line 1363 of file z3++.h.