expr Class Reference

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...

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. 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	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. 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...
expr	mk_is_inf () const
	Return Boolean expression to test for whether an FP expression is inf. More...
expr	mk_is_nan () const
	Return Boolean expression to test for whether an FP expression is a NaN. More...
expr	mk_is_normal () const
	Return Boolean expression to test for whether an FP expression is a normal. More...
expr	mk_is_subnormal () const
	Return Boolean expression to test for whether an FP expression is a subnormal. More...
expr	mk_is_zero () const
	Return Boolean expression to test for whether an FP expression is a zero. More...
expr	mk_to_ieee_bv () const
	Convert this fpa into an IEEE BV. More...
expr	mk_from_ieee_bv (sort const &s) const
	Convert this IEEE BV into a fpa. 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...
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) More...
unsigned	algebraic_i () const
	Return i of an algebraic number (root-obj p i) 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
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() More...
std::string	get_string () const
	for a string value expression return an escaped string value. More...
std::u32string	get_u32string () const
	for a string value expression return an unespaced string value. More...
	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_vector	args () const
	Return a vector of all the arguments of this application. This method assumes the expression is an application. More...
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. More...
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. 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) 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. More...
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. 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...
expr	substitute (func_decl_vector const &funs, expr_vector const &bodies)
	Apply function substitution by macro definitions. More...
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

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_xor (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	bv2int (expr const &a, bool is_signed)
	bit-vector and integer conversions. More...
expr	int2bv (unsigned n, expr const &a)
expr	bvadd_no_overflow (expr const &a, expr const &b, bool is_signed)
	bit-vector overflow/underflow checks More...
expr	bvadd_no_underflow (expr const &a, expr const &b)
expr	bvsub_no_overflow (expr const &a, expr const &b)
expr	bvsub_no_underflow (expr const &a, expr const &b, bool is_signed)
expr	bvsdiv_no_overflow (expr const &a, expr const &b)
expr	bvneg_no_overflow (expr const &a)
expr	bvmul_no_overflow (expr const &a, expr const &b, bool is_signed)
expr	bvmul_no_underflow (expr const &a, expr const &b)
expr	bvredor (expr const &a)
expr	bvredand (expr const &a)
expr	abs (expr const &a)
expr	sqrt (expr const &a, expr const &rm)
expr	fp_eq (expr const &a, expr const &b)
expr	operator~ (expr const &a)
expr	fma (expr const &a, expr const &b, expr const &c, expr const &rm)
	FloatingPoint fused multiply-add. More...
expr	fpa_fp (expr const &sgn, expr const &exp, expr const &sig)
	Create an expression of FloatingPoint sort from three bit-vector expressions. More...
expr	fpa_to_sbv (expr const &t, unsigned sz)
	Conversion of a floating-point term into a signed bit-vector. More...
expr	fpa_to_ubv (expr const &t, unsigned sz)
	Conversion of a floating-point term into an unsigned bit-vector. More...
expr	sbv_to_fpa (expr const &t, sort s)
	Conversion of a signed bit-vector term into a floating-point. More...
expr	ubv_to_fpa (expr const &t, sort s)
	Conversion of an unsigned bit-vector term into a floating-point. More...
expr	fpa_to_fpa (expr const &t, sort s)
	Conversion of a floating-point term into another floating-point. More...
expr	round_fpa_to_closest_integer (expr const &t)
	Round a floating-point term into its closest integer. More...
expr	range (expr const &lo, expr const &hi)

Additional Inherited Members
Protected Attributes inherited from ast
Z3_ast	m_ast
Protected Attributes inherited from object
context *	m_ctx

Detailed Description

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 877 of file z3++.h.

Constructor & Destructor Documentation

expr ( context &  c )

inline

Definition at line 879 of file z3++.h.

Referenced by expr::algebraic_lower(), expr::algebraic_upper(), expr::arg(), expr::at(), expr::bit2bool(), expr::body(), expr::char_from_bv(), expr::char_to_bv(), expr::char_to_int(), expr::contains(), expr::denominator(), expr::extract(), expr::is_digit(), expr::itos(), expr::length(), expr::loop(), expr::mk_from_ieee_bv(), expr::mk_is_inf(), expr::mk_is_nan(), expr::mk_is_normal(), expr::mk_is_subnormal(), expr::mk_is_zero(), expr::mk_to_ieee_bv(), expr::nth(), expr::numerator(), expr::repeat(), expr::replace(), expr::rotate_left(), expr::rotate_right(), expr::sbvtos(), expr::simplify(), expr::stoi(), expr::substitute(), expr::ubvtos(), expr::unit(), expr::update(), and expr::update_field().

:ast(c) {}

expr ( context &  c, Z3_ast  n  )

inline

Definition at line 880 of file z3++.h.

:ast(c, reinterpret_cast<Z3_ast>(n)) {}

Member Function Documentation

unsigned algebraic_i ( ) const

inline

Return i of an algebraic number (root-obj p i)

Definition at line 1113 of file z3++.h.

                                     {
            assert(is_algebraic());
            unsigned i = Z3_algebraic_get_i(ctx(), m_ast);
            check_error();
            return i;
        }

expr algebraic_lower ( unsigned  precision ) const

inline

Retrieve lower and upper bounds for algebraic numerals based on a decimal precision

Definition at line 1086 of file z3++.h.

                                                       { 
            assert(is_algebraic());      
            Z3_ast r = Z3_get_algebraic_number_lower(ctx(), m_ast, precision);
            check_error();
            return expr(ctx(), r);
        }

expr_vector algebraic_poly ( ) const

inline

Return coefficients for p of an algebraic number (root-obj p i)

Definition at line 1103 of file z3++.h.

                                           {
            assert(is_algebraic());
            Z3_ast_vector r = Z3_algebraic_get_poly(ctx(), m_ast);
            check_error();
            return expr_vector(ctx(), r);
        }

expr algebraic_upper ( unsigned  precision ) const

inline

Definition at line 1093 of file z3++.h.

                                                       { 
            assert(is_algebraic());      
            Z3_ast r = Z3_get_algebraic_number_upper(ctx(), m_ast, precision);
            check_error();
            return expr(ctx(), r);
        }

expr arg ( unsigned  i ) const

inline

Return the i-th argument of this application. This method assumes the expression is an application.

Precondition

is_app()

i < num_args()

Definition at line 1274 of file z3++.h.

Referenced by AstRef::__bool__(), expr::args(), and expr::iterator::operator*().

{ Z3_ast r = Z3_get_app_arg(ctx(), *this, i); check_error(); return expr(ctx(), r); }

expr_vector args ( ) const

inline

Return a vector of all the arguments of this application. This method assumes the expression is an application.

Precondition

is_app()

Definition at line 1281 of file z3++.h.

                                 {
          expr_vector vec(ctx());
          unsigned argCnt = num_args();
          for (unsigned i = 0; i < argCnt; ++i)
            vec.push_back(arg(i));
          return vec;
        }

bool as_binary ( std::string &  s ) const

inline

Definition at line 955 of file z3++.h.

{ if (!is_numeral()) return false; s = Z3_get_numeral_binary_string(ctx(), m_ast); check_error(); return true; }

double as_double ( ) const

inline

Definition at line 957 of file z3++.h.

{ double d = 0; is_numeral(d); return d; }

int64_t as_int64 ( ) const

inline

Definition at line 959 of file z3++.h.

{ int64_t r = 0; is_numeral_i64(r); return r; }

uint64_t as_uint64 ( ) const

inline

Definition at line 958 of file z3++.h.

{ uint64_t r = 0; is_numeral_u64(r); return r; }

expr at ( expr const &  index ) const

inline

Definition at line 1575 of file z3++.h.

                                         {
            check_context(*this, index);
            Z3_ast r = Z3_mk_seq_at(ctx(), *this, index);
            check_error();
            return expr(ctx(), r);
        }

iterator begin ( )

inline

Definition at line 1704 of file z3++.h.

{ return iterator(*this, 0); }

expr bit2bool ( unsigned  i ) const

inline

Definition at line 1505 of file z3++.h.

{ Z3_ast r = Z3_mk_bit2bool(ctx(), i, *this); ctx().check_error(); return expr(ctx(), r); }

expr body ( ) const

inline

Return the 'body' of this quantifier.

Precondition

is_quantifier()

Definition at line 1315 of file z3++.h.

{ assert(is_quantifier()); Z3_ast r = Z3_get_quantifier_body(ctx(), *this); check_error(); return expr(ctx(), r); }

Z3_lbool bool_value ( ) const

inline

Definition at line 1199 of file z3++.h.

                                    {
            return Z3_get_bool_value(ctx(), m_ast);
        }

expr char_from_bv ( ) const

inline

Definition at line 1622 of file z3++.h.

                                  {
            Z3_ast r = Z3_mk_char_from_bv(ctx(), *this);
            check_error();
            return expr(ctx(), r);
        }

expr char_to_bv ( ) const

inline

Definition at line 1617 of file z3++.h.

                                {
            Z3_ast r = Z3_mk_char_to_bv(ctx(), *this);
            check_error();
            return expr(ctx(), r);
        }

expr char_to_int ( ) const

inline

Definition at line 1612 of file z3++.h.

                                 {
            Z3_ast r = Z3_mk_char_to_int(ctx(), *this);
            check_error();
            return expr(ctx(), r);
        }

expr contains ( expr const &  s ) const

inline

Definition at line 1569 of file z3++.h.

                                           {
            check_context(*this, s);
            Z3_ast r = Z3_mk_seq_contains(ctx(), *this, s);
            check_error();
            return expr(ctx(), r);
        }

func_decl decl ( ) const

inline

Return the declaration associated with this application. This method assumes the expression is an application.

Precondition

is_app()

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(), and expr::lo().

{ Z3_func_decl f = Z3_get_app_decl(ctx(), *this); check_error(); return func_decl(ctx(), f); }

expr denominator ( ) const

inline

Definition at line 1211 of file z3++.h.

                                 {
            assert(is_numeral());
            Z3_ast r = Z3_get_denominator(ctx(), m_ast);
            check_error();
            return expr(ctx(),r);
        }

iterator end ( )

inline

Definition at line 1705 of file z3++.h.

{ return iterator(*this, is_app() ? num_args() : 0); }

expr extract ( unsigned  hi, unsigned  lo  ) const

inline

Definition at line 1504 of file z3++.h.

{ Z3_ast r = Z3_mk_extract(ctx(), hi, lo, *this); ctx().check_error(); return expr(ctx(), r); }

expr extract ( expr const &  offset, expr const &  length  ) const

inline

sequence and regular expression operations.

• is overloaded as sequence concatenation and regular expression union. concat is overloaded to handle sequences and regular expressions

Definition at line 1554 of file z3++.h.

                                                                   {
            check_context(*this, offset); check_context(offset, length);
            Z3_ast r = Z3_mk_seq_extract(ctx(), *this, offset, length); check_error(); return expr(ctx(), r);
        }

std::string get_decimal_string ( int  precision ) const

inline

Return string representation of numeral or algebraic number This method assumes the expression is numeral or algebraic.

Precondition

is_numeral() || is_algebraic()

Definition at line 1078 of file z3++.h.

                                                          {
            assert(is_numeral() || is_algebraic());
            return std::string(Z3_get_numeral_decimal_string(ctx(), m_ast, precision));
        }

int get_numeral_int ( ) const

inline

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.

Precondition

is_numeral()

Definition at line 1135 of file z3++.h.

                                    {
            int result = 0;
            if (!is_numeral_i(result)) {
                assert(ctx().enable_exceptions());
                if (!ctx().enable_exceptions()) return 0;
                Z3_THROW(exception("numeral does not fit in machine int"));
            }
            return result;
        }

int64_t get_numeral_int64 ( ) const

inline

Return int64_t value of numeral, throw if result cannot fit in int64_t.

Precondition

is_numeral()

Definition at line 1171 of file z3++.h.

                                          {
            assert(is_numeral());
            int64_t result = 0;
            if (!is_numeral_i64(result)) {
                assert(ctx().enable_exceptions());
                if (!ctx().enable_exceptions()) return 0;
                Z3_THROW(exception("numeral does not fit in machine int64_t"));
            }
            return result;
        }

unsigned get_numeral_uint ( ) const

inline

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.

Precondition

is_numeral()

Definition at line 1154 of file z3++.h.

                                          {
            assert(is_numeral());
            unsigned result = 0;
            if (!is_numeral_u(result)) {
                assert(ctx().enable_exceptions());
                if (!ctx().enable_exceptions()) return 0;
                Z3_THROW(exception("numeral does not fit in machine uint"));
            }
            return result;
        }

uint64_t get_numeral_uint64 ( ) const

inline

Return uint64_t value of numeral, throw if result cannot fit in uint64_t.

Precondition

is_numeral()

Definition at line 1188 of file z3++.h.

                                            {
            assert(is_numeral());
            uint64_t result = 0;
            if (!is_numeral_u64(result)) {
                assert(ctx().enable_exceptions());
                if (!ctx().enable_exceptions()) return 0;
                Z3_THROW(exception("numeral does not fit in machine uint64_t"));
            }
            return result;
        }

sort get_sort ( ) const

inline

Return the sort of this expression.

Definition at line 885 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::sdiv(), z3::select(), solver::set_initial_value(), optimize::set_initial_value(), z3::sge(), z3::sgt(), z3::shl(), z3::sle(), z3::slt(), z3::smod(), z3::srem(), z3::store(), z3::udiv(), z3::uge(), z3::ugt(), z3::ule(), z3::ult(), and z3::urem().

{ Z3_sort s = Z3_get_sort(*m_ctx, m_ast); check_error(); return sort(*m_ctx, s); }

std::string get_string ( ) const

inline

for a string value expression return an escaped string value.

Precondition

expression is for a string value.

Definition at line 1230 of file z3++.h.

                                     {            
            assert(is_string_value());
            char const* s = Z3_get_string(ctx(), m_ast);
            check_error();
            return std::string(s);
        }

std::u32string get_u32string ( ) const

inline

for a string value expression return an unespaced string value.

Precondition

expression is for a string value.

Definition at line 1242 of file z3++.h.

                                           {
            assert(is_string_value());
            unsigned n = Z3_get_string_length(ctx(), m_ast);
            std::u32string s;
            s.resize(n);
            Z3_get_string_contents(ctx(), m_ast, n, (unsigned*)s.data());
            return s;
        }

unsigned hi ( ) const

inline

Definition at line 1507 of file z3++.h.

{ assert (is_app() && Z3_get_decl_num_parameters(ctx(), decl()) == 2); return static_cast<unsigned>(Z3_get_decl_int_parameter(ctx(), decl(), 0)); }

unsigned id ( ) const

inline

retrieve unique identifier for expression.

Definition at line 1123 of file z3++.h.

{ unsigned r = Z3_get_ast_id(ctx(), m_ast); check_error(); return r; }

bool is_algebraic ( ) const

inline

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().

{ return Z3_is_algebraic_number(ctx(), m_ast); }

bool is_and ( ) const

inline

Definition at line 1384 of file z3++.h.

{ return is_app() && Z3_OP_AND == decl().decl_kind(); }

bool is_app ( ) const

inline

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().

{ return kind() == Z3_APP_AST || kind() == Z3_NUMERAL_AST; }

bool is_arith ( ) const

inline

Return true if this is an integer or real expression.

Definition at line 902 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>=().

{ return get_sort().is_arith(); }

bool is_array ( ) const

inline

Return true if this is a Array expression.

Definition at line 910 of file z3++.h.

Referenced by expr::operator[]().

{ return get_sort().is_array(); }

bool is_bool ( ) const

inline

Return true if this is a Boolean expression.

Definition at line 890 of file z3++.h.

Referenced by solver::add(), optimize::add(), optimize::add_soft(), z3::implies(), z3::ite(), z3::nand(), z3::nor(), z3::operator!(), z3::operator&(), z3::operator&&(), z3::operator^(), z3::operator|(), z3::operator||(), and z3::xnor().

{ return get_sort().is_bool(); }

bool is_bv ( ) const

inline

Return true if this is a Bit-vector expression.

Definition at line 906 of file z3++.h.

Referenced by z3::bvredand(), z3::bvredor(), z3::fpa_fp(), z3::max(), z3::min(), expr::mk_from_ieee_bv(), z3::mod(), z3::operator!=(), z3::operator*(), z3::operator+(), z3::operator-(), z3::operator/(), z3::operator<(), z3::operator<=(), z3::operator==(), z3::operator>(), z3::operator>=(), z3::sbv_to_fpa(), and z3::ubv_to_fpa().

{ return get_sort().is_bv(); }

bool is_const ( ) const

inline

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().

{ return is_app() && num_args() == 0; }

bool is_datatype ( ) const

inline

Return true if this is a Datatype expression.

Definition at line 914 of file z3++.h.

Referenced by expr::update_field().

{ return get_sort().is_datatype(); }

expr is_digit ( ) const

inline

Definition at line 1627 of file z3++.h.

                              {
            Z3_ast r = Z3_mk_char_is_digit(ctx(), *this);
            check_error();
            return expr(ctx(), r);
        }

bool is_distinct ( ) const

inline

Definition at line 1390 of file z3++.h.

{ return is_app() && Z3_OP_DISTINCT == decl().decl_kind(); }

bool is_eq ( ) const

inline

Definition at line 1388 of file z3++.h.

{ return is_app() && Z3_OP_EQ == decl().decl_kind(); }

bool is_exists ( ) const

inline

Return true if this expression is an existential quantifier.

Definition at line 982 of file z3++.h.

{ return Z3_is_quantifier_exists(ctx(), m_ast); }

bool is_false ( ) const

inline

Definition at line 1382 of file z3++.h.

{ return is_app() && Z3_OP_FALSE == decl().decl_kind(); }

bool is_finite_domain ( ) const

inline

Return true if this is a Finite-domain expression.

Remarks

Finite-domain is special kind of interpreted sort: is_bool(), is_bv() and is_finite_domain() are mutually exclusive.

Definition at line 936 of file z3++.h.

{ return get_sort().is_finite_domain(); }

bool is_forall ( ) const

inline

Return true if this expression is a universal quantifier.

Definition at line 978 of file z3++.h.

{ return Z3_is_quantifier_forall(ctx(), m_ast); }

bool is_fpa ( ) const

inline

Return true if this is a FloatingPoint expression. .

Definition at line 940 of file z3++.h.

Referenced by z3::fma(), z3::fp_eq(), z3::fpa_to_fpa(), z3::fpa_to_sbv(), z3::fpa_to_ubv(), z3::max(), z3::min(), expr::mk_is_inf(), expr::mk_is_nan(), expr::mk_is_normal(), expr::mk_is_subnormal(), expr::mk_is_zero(), expr::mk_to_ieee_bv(), z3::operator!=(), z3::operator*(), z3::operator+(), z3::operator-(), z3::operator/(), z3::operator<(), z3::operator<=(), z3::operator==(), z3::operator>(), z3::operator>=(), z3::rem(), z3::round_fpa_to_closest_integer(), and z3::sqrt().

{ return get_sort().is_fpa(); }

bool is_implies ( ) const

inline

Definition at line 1387 of file z3++.h.

{ return is_app() && Z3_OP_IMPLIES  == decl().decl_kind(); }

bool is_int ( ) const

inline

Return true if this is an integer expression.

Definition at line 894 of file z3++.h.

Referenced by z3::abs().

{ return get_sort().is_int(); }

bool is_ite ( ) const

inline

Definition at line 1389 of file z3++.h.

{ return is_app() && Z3_OP_ITE == decl().decl_kind(); }

bool is_lambda ( ) const

inline

Return true if this expression is a lambda expression.

Definition at line 986 of file z3++.h.

{ return Z3_is_lambda(ctx(), m_ast); }

bool is_not ( ) const

inline

Definition at line 1383 of file z3++.h.

{ return is_app() && Z3_OP_NOT == decl().decl_kind(); }

bool is_numeral ( ) const

inline

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().

{ return kind() == Z3_NUMERAL_AST; }

bool is_numeral ( std::string &  s ) const

inline

Definition at line 952 of file z3++.h.

Referenced by expr::is_numeral().

{ if (!is_numeral()) return false; s = Z3_get_numeral_string(ctx(), m_ast); check_error(); return true; }

bool is_numeral ( std::string &  s, unsigned  precision  ) const

inline

Definition at line 953 of file z3++.h.

Referenced by expr::is_numeral().

{ if (!is_numeral()) return false; s = Z3_get_numeral_decimal_string(ctx(), m_ast, precision); check_error(); return true; }

bool is_numeral ( double &  d ) const

inline

Definition at line 954 of file z3++.h.

Referenced by expr::is_numeral().

{ if (!is_numeral()) return false; d = Z3_get_numeral_double(ctx(), m_ast); check_error(); return true; }

bool is_numeral_i ( int &  i ) const

inline

Definition at line 950 of file z3++.h.

Referenced by expr::get_numeral_int().

{ bool r = Z3_get_numeral_int(ctx(), m_ast, &i); check_error(); return r;}

bool is_numeral_i64 ( int64_t &  i ) const

inline

Definition at line 948 of file z3++.h.

Referenced by expr::as_int64(), and expr::get_numeral_int64().

{ bool r = Z3_get_numeral_int64(ctx(), m_ast, &i); check_error(); return r;}

bool is_numeral_u ( unsigned &  i ) const

inline

Definition at line 951 of file z3++.h.

Referenced by expr::get_numeral_uint().

{ bool r = Z3_get_numeral_uint(ctx(), m_ast, &i); check_error(); return r;}

bool is_numeral_u64 ( uint64_t &  i ) const

inline

Definition at line 949 of file z3++.h.

Referenced by expr::as_uint64(), and expr::get_numeral_uint64().

{ bool r = Z3_get_numeral_uint64(ctx(), m_ast, &i); check_error(); return r;}

bool is_or ( ) const

inline

Definition at line 1385 of file z3++.h.

{ return is_app() && Z3_OP_OR  == decl().decl_kind(); }

bool is_quantifier ( ) const

inline

Return true if this expression is a quantifier.

Definition at line 973 of file z3++.h.

Referenced by expr::body().

{ return kind() == Z3_QUANTIFIER_AST; }

bool is_re ( ) const

inline

Return true if this is a regular expression.

Definition at line 926 of file z3++.h.

Referenced by z3::operator+().

{ return get_sort().is_re(); }

bool is_real ( ) const

inline

Return true if this is a real expression.

Definition at line 898 of file z3++.h.

Referenced by z3::abs().

{ return get_sort().is_real(); }

bool is_relation ( ) const

inline

Return true if this is a Relation expression.

Definition at line 918 of file z3++.h.

{ return get_sort().is_relation(); }

bool is_seq ( ) const

inline

Return true if this is a sequence expression.

Definition at line 922 of file z3++.h.

Referenced by z3::operator+(), and expr::operator[]().

{ return get_sort().is_seq(); }

bool is_string_value ( ) const

inline

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().

{ return Z3_is_string(ctx(), m_ast); }

bool is_true ( ) const

inline

Definition at line 1381 of file z3++.h.

{ return is_app() && Z3_OP_TRUE == decl().decl_kind(); }

bool is_var ( ) const

inline

Return true if this expression is a variable.

Definition at line 991 of file z3++.h.

{ return kind() == Z3_VAR_AST; }

bool is_well_sorted ( ) const

inline

Return true if this expression is well sorted (aka type correct).

Definition at line 1000 of file z3++.h.

{ bool r = Z3_is_well_sorted(ctx(), m_ast); check_error(); return r; }

bool is_xor ( ) const

inline

Definition at line 1386 of file z3++.h.

{ return is_app() && Z3_OP_XOR  == decl().decl_kind(); }

expr itos ( ) const

inline

Definition at line 1597 of file z3++.h.

                          {
            Z3_ast r = Z3_mk_int_to_str(ctx(), *this);
            check_error();
            return expr(ctx(), r);
        }

expr length ( ) const

inline

Definition at line 1587 of file z3++.h.

                            {
            Z3_ast r = Z3_mk_seq_length(ctx(), *this);
            check_error();
            return expr(ctx(), r);
        }

unsigned lo ( ) const

inline

Definition at line 1506 of file z3++.h.

{ assert (is_app() && Z3_get_decl_num_parameters(ctx(), decl()) == 2); return static_cast<unsigned>(Z3_get_decl_int_parameter(ctx(), decl(), 1)); }

expr loop ( unsigned  lo )

inline

create a looping regular expression.

Definition at line 1637 of file z3++.h.

                               {
            Z3_ast r = Z3_mk_re_loop(ctx(), m_ast, lo, 0);
            check_error();
            return expr(ctx(), r);
        }

expr loop ( unsigned  lo, unsigned  hi  )

inline

Definition at line 1642 of file z3++.h.

                                            {
            Z3_ast r = Z3_mk_re_loop(ctx(), m_ast, lo, hi);
            check_error();
            return expr(ctx(), r);
        }

expr mk_from_ieee_bv ( sort const &  s ) const

inline

Convert this IEEE BV into a fpa.

Definition at line 1065 of file z3++.h.

                                                  {
            assert(is_bv());
            Z3_ast r = Z3_mk_fpa_to_fp_bv(ctx(), m_ast, s);
            check_error();
            return expr(ctx(), r);
        }

expr mk_is_inf ( ) const

inline

Return Boolean expression to test for whether an FP expression is inf.

Definition at line 1005 of file z3++.h.

                               {
            assert(is_fpa());
            Z3_ast r = Z3_mk_fpa_is_infinite(ctx(), m_ast);
            check_error();
            return expr(ctx(), r);
        }

expr mk_is_nan ( ) const

inline

Return Boolean expression to test for whether an FP expression is a NaN.

Definition at line 1015 of file z3++.h.

                               {
            assert(is_fpa());
            Z3_ast r = Z3_mk_fpa_is_nan(ctx(), m_ast);
            check_error();
            return expr(ctx(), r);
        }

expr mk_is_normal ( ) const

inline

Return Boolean expression to test for whether an FP expression is a normal.

Definition at line 1025 of file z3++.h.

                                  {
            assert(is_fpa());
            Z3_ast r = Z3_mk_fpa_is_normal(ctx(), m_ast);
            check_error();
            return expr(ctx(), r);
        }

expr mk_is_subnormal ( ) const

inline

Return Boolean expression to test for whether an FP expression is a subnormal.

Definition at line 1035 of file z3++.h.

                                     {
            assert(is_fpa());
            Z3_ast r = Z3_mk_fpa_is_subnormal(ctx(), m_ast);
            check_error();
            return expr(ctx(), r);
        }

expr mk_is_zero ( ) const

inline

Return Boolean expression to test for whether an FP expression is a zero.

Definition at line 1045 of file z3++.h.

                                {
            assert(is_fpa());
            Z3_ast r = Z3_mk_fpa_is_zero(ctx(), m_ast);
            check_error();
            return expr(ctx(), r);
        }

expr mk_to_ieee_bv ( ) const

inline

Convert this fpa into an IEEE BV.

Definition at line 1055 of file z3++.h.

                                   {
            assert(is_fpa());
            Z3_ast r = Z3_mk_fpa_to_ieee_bv(ctx(), m_ast);
            check_error();
            return expr(ctx(), r);
        }

expr nth ( expr const &  index ) const

inline

Definition at line 1581 of file z3++.h.

Referenced by expr::operator[]().

                                          {
            check_context(*this, index);
            Z3_ast r = Z3_mk_seq_nth(ctx(), *this, index);
            check_error();
            return expr(ctx(), r);
        }

unsigned num_args ( ) const

inline

Return the number of arguments in this application. This method assumes the expression is an application.

Precondition

is_app()

Definition at line 1266 of file z3++.h.

Referenced by AstRef::__bool__(), expr::args(), expr::end(), and expr::is_const().

{ unsigned r = Z3_get_app_num_args(ctx(), *this); check_error(); return r; }

expr numerator ( ) const

inline

Definition at line 1203 of file z3++.h.

                               {
            assert(is_numeral());
            Z3_ast r = Z3_get_numerator(ctx(), m_ast);
            check_error();
            return expr(ctx(),r);
        }

operator Z3_app ( ) const

inline

Definition at line 1251 of file z3++.h.

{ assert(is_app()); return reinterpret_cast<Z3_app>(m_ast); }

expr operator[] ( expr const &  index ) const

inline

index operator defined on arrays and sequences.

Definition at line 1651 of file z3++.h.

                                                 {
            assert(is_array() || is_seq());
            if (is_array()) {
                return select(*this, index);
            }
            return nth(index);            
        }

expr operator[] ( expr_vector const &  index ) const

inline

Definition at line 1659 of file z3++.h.

                                                        {
            return select(*this, index);
        }

expr repeat ( unsigned  i ) const

inline

Definition at line 1494 of file z3++.h.

{ Z3_ast r = Z3_mk_repeat(ctx(), i, *this); ctx().check_error(); return expr(ctx(), r); }

expr replace ( expr const &  src, expr const &  dst  ) const

inline

Definition at line 1558 of file z3++.h.

                                                             {
            check_context(*this, src); check_context(src, dst);
            Z3_ast r = Z3_mk_seq_replace(ctx(), *this, src, dst);
            check_error();
            return expr(ctx(), r);
        }

expr rotate_left ( unsigned  i ) const

inline

Definition at line 1492 of file z3++.h.

{ Z3_ast r = Z3_mk_rotate_left(ctx(), i, *this); ctx().check_error(); return expr(ctx(), r); }

expr rotate_right ( unsigned  i ) const

inline

Definition at line 1493 of file z3++.h.

{ Z3_ast r = Z3_mk_rotate_right(ctx(), i, *this); ctx().check_error(); return expr(ctx(), r); }

expr sbvtos ( ) const

inline

Definition at line 1607 of file z3++.h.

                            {
            Z3_ast r = Z3_mk_sbv_to_str(ctx(), *this);
            check_error();
            return expr(ctx(), r);
        }

expr simplify ( ) const

inline

Return a simplified version of this expression.

Definition at line 1666 of file z3++.h.

{ Z3_ast r = Z3_simplify(ctx(), m_ast); check_error(); return expr(ctx(), r); }

expr simplify ( params const &  p ) const

inline

Return a simplified version of this expression. The parameter p is a set of parameters for the Z3 simplifier.

Definition at line 1670 of file z3++.h.

{ Z3_ast r = Z3_simplify_ex(ctx(), m_ast, p); check_error(); return expr(ctx(), r); }

expr stoi ( ) const

inline

Definition at line 1592 of file z3++.h.

                          {
            Z3_ast r = Z3_mk_str_to_int(ctx(), *this);
            check_error();
            return expr(ctx(), r);
        }

expr substitute ( expr_vector const &  src, expr_vector const &  dst  )

inline

Apply substitution. Replace src expressions by dst.

Definition at line 4436 of file z3++.h.

                                                                               {
        assert(src.size() == dst.size());
        array<Z3_ast> _src(src.size());
        array<Z3_ast> _dst(dst.size());
        for (unsigned i = 0; i < src.size(); ++i) {
            _src[i] = src[i];
            _dst[i] = dst[i];
        }
        Z3_ast r = Z3_substitute(ctx(), m_ast, src.size(), _src.ptr(), _dst.ptr());
        check_error();
        return expr(ctx(), r);
    }

expr substitute ( expr_vector const &  dst )

inline

Apply substitution. Replace bound variables by expressions.

Definition at line 4449 of file z3++.h.

                                                       {
        array<Z3_ast> _dst(dst.size());
        for (unsigned i = 0; i < dst.size(); ++i) {
            _dst[i] = dst[i];
        }
        Z3_ast r = Z3_substitute_vars(ctx(), m_ast, dst.size(), _dst.ptr());
        check_error();
        return expr(ctx(), r);
    }

expr substitute ( func_decl_vector const &  funs, expr_vector const &  bodies  )

inline

Apply function substitution by macro definitions.

Definition at line 4459 of file z3++.h.

                                                                                     {
        array<Z3_ast> _dst(dst.size());
        array<Z3_func_decl> _funs(funs.size());
        if (dst.size() != funs.size()) {
            Z3_THROW(exception("length of argument lists don't align"));
            return expr(ctx(), nullptr);
        }
        for (unsigned i = 0; i < dst.size(); ++i) {
            _dst[i] = dst[i];
            _funs[i] = funs[i];
        }
        Z3_ast r = Z3_substitute_funs(ctx(), m_ast, dst.size(), _funs.ptr(), _dst.ptr());
        check_error();
        return expr(ctx(), r);
    }

expr ubvtos ( ) const

inline

Definition at line 1602 of file z3++.h.

                            {
            Z3_ast r = Z3_mk_ubv_to_str(ctx(), *this);
            check_error();
            return expr(ctx(), r);
        }

expr unit ( ) const

inline

Definition at line 1564 of file z3++.h.

                          {
            Z3_ast r = Z3_mk_seq_unit(ctx(), *this);
            check_error();
            return expr(ctx(), r);
        }

expr update ( expr_vector const &  args ) const

inline

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.

Precondition

is_app()

args.size() == num_args()

Definition at line 4475 of file z3++.h.

                                                          {
        array<Z3_ast> _args(args.size());
        for (unsigned i = 0; i < args.size(); ++i) {
            _args[i] = args[i];
        }
        Z3_ast r = Z3_update_term(ctx(), m_ast, args.size(), _args.ptr());
        check_error();
        return expr(ctx(), r);
    }

expr update_field ( func_decl const &  field_access, expr const &  new_value  ) const

inline

Update a datatype field. Return a new datatype expression with the specified field updated to the new value. The remaining fields are unchanged.

Precondition

is_datatype()

Parameters

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.

                                                                                             {
        assert(is_datatype());
        Z3_ast r = Z3_datatype_update_field(ctx(), field_access, m_ast, new_value);
        check_error();
        return expr(ctx(), r);
    }

Friends And Related Function Documentation

expr abs ( expr const &  a )

friend

Definition at line 2082 of file z3++.h.

                                    { 
        Z3_ast r;
        if (a.is_int()) {
            expr zero = a.ctx().int_val(0);
        expr ge = a >= zero;
        expr na = -a;
            r = Z3_mk_ite(a.ctx(), ge, a, na);      
        }
        else if (a.is_real()) {
            expr zero = a.ctx().real_val(0);
        expr ge = a >= zero;
        expr na = -a;
            r = Z3_mk_ite(a.ctx(), ge, a, na);
        }
        else {
            r = Z3_mk_fpa_abs(a.ctx(), a); 
        }
        a.check_error();
        return expr(a.ctx(), r); 
    }

expr atleast ( expr_vector const &  es, unsigned  bound  )

friend

Definition at line 2538 of file z3++.h.

                                                               {
        assert(es.size() > 0);
        context& ctx = es[0u].ctx();
        array<Z3_ast> _es(es);
        Z3_ast r = Z3_mk_atleast(ctx, _es.size(), _es.ptr(), bound);
        ctx.check_error();
        return expr(ctx, r);
    }

expr atmost ( expr_vector const &  es, unsigned  bound  )

friend

Definition at line 2530 of file z3++.h.

                                                              {
        assert(es.size() > 0);
        context& ctx = es[0u].ctx();
        array<Z3_ast> _es(es);
        Z3_ast r = Z3_mk_atmost(ctx, _es.size(), _es.ptr(), bound);
        ctx.check_error();
        return expr(ctx, r);
    }

expr bv2int ( expr const &  a, bool  is_signed  )

friend

bit-vector and integer conversions.

Definition at line 2328 of file z3++.h.

{ Z3_ast r = Z3_mk_bv2int(a.ctx(), a, is_signed); a.check_error(); return expr(a.ctx(), r); }

expr bvadd_no_overflow ( expr const &  a, expr const &  b, bool  is_signed  )

friend

bit-vector overflow/underflow checks

Definition at line 2334 of file z3++.h.

                                                                                { 
        check_context(a, b); Z3_ast r = Z3_mk_bvadd_no_overflow(a.ctx(), a, b, is_signed); a.check_error(); return expr(a.ctx(), r); 
    }

expr bvadd_no_underflow ( expr const &  a, expr const &  b  )

friend

Definition at line 2337 of file z3++.h.

                                                                 {
        check_context(a, b); Z3_ast r = Z3_mk_bvadd_no_underflow(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r); 
    }

expr bvmul_no_overflow ( expr const &  a, expr const &  b, bool  is_signed  )

friend

Definition at line 2352 of file z3++.h.

                                                                                {
        check_context(a, b); Z3_ast r = Z3_mk_bvmul_no_overflow(a.ctx(), a, b, is_signed); a.check_error(); return expr(a.ctx(), r); 
    }

expr bvmul_no_underflow ( expr const &  a, expr const &  b  )

friend

Definition at line 2355 of file z3++.h.

                                                                 {
        check_context(a, b); Z3_ast r = Z3_mk_bvmul_no_underflow(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r); 
    }

expr bvneg_no_overflow ( expr const &  a )

friend

Definition at line 2349 of file z3++.h.

                                                 {
        Z3_ast r = Z3_mk_bvneg_no_overflow(a.ctx(), a); a.check_error(); return expr(a.ctx(), r); 
    }

expr bvredand ( expr const &  a )

friend

Definition at line 2076 of file z3++.h.

                                         {
        assert(a.is_bv());
        Z3_ast r = Z3_mk_bvredand(a.ctx(), a);
        a.check_error();
        return expr(a.ctx(), r);
    }

expr bvredor ( expr const &  a )

friend

Definition at line 2070 of file z3++.h.

                                        {
        assert(a.is_bv());
        Z3_ast r = Z3_mk_bvredor(a.ctx(), a);
        a.check_error();
        return expr(a.ctx(), r);
    }

expr bvsdiv_no_overflow ( expr const &  a, expr const &  b  )

friend

Definition at line 2346 of file z3++.h.

                                                                 {
        check_context(a, b); Z3_ast r = Z3_mk_bvsdiv_no_overflow(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r); 
    }

expr bvsub_no_overflow ( expr const &  a, expr const &  b  )

friend

Definition at line 2340 of file z3++.h.

                                                                {
        check_context(a, b); Z3_ast r = Z3_mk_bvsub_no_overflow(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r); 
    }

expr bvsub_no_underflow ( expr const &  a, expr const &  b, bool  is_signed  )

friend

Definition at line 2343 of file z3++.h.

                                                                                 {
        check_context(a, b); Z3_ast r = Z3_mk_bvsub_no_underflow(a.ctx(), a, b, is_signed); a.check_error(); return expr(a.ctx(), r); 
    }

expr concat ( expr const &  a, expr const &  b  )

friend

Definition at line 2564 of file z3++.h.

                                                     {
        check_context(a, b);
        Z3_ast r;
        if (Z3_is_seq_sort(a.ctx(), a.get_sort())) {
            Z3_ast _args[2] = { a, b };
            r = Z3_mk_seq_concat(a.ctx(), 2, _args);
        }
        else if (Z3_is_re_sort(a.ctx(), a.get_sort())) {
            Z3_ast _args[2] = { a, b };
            r = Z3_mk_re_concat(a.ctx(), 2, _args);
        }
        else {
            r = Z3_mk_concat(a.ctx(), a, b);
        }
        a.ctx().check_error();
        return expr(a.ctx(), r);
    }

expr concat ( expr_vector const &  args )

friend

Definition at line 2582 of file z3++.h.

                                                {
        Z3_ast r;
        assert(args.size() > 0);
        if (args.size() == 1) {
            return args[0u];
        }
        context& ctx = args[0u].ctx();
        array<Z3_ast> _args(args);
        if (Z3_is_seq_sort(ctx, args[0u].get_sort())) {
            r = Z3_mk_seq_concat(ctx, _args.size(), _args.ptr());
        }
        else if (Z3_is_re_sort(ctx, args[0u].get_sort())) {
            r = Z3_mk_re_concat(ctx, _args.size(), _args.ptr());
        }
        else {
            r = _args[args.size()-1];
            for (unsigned i = args.size()-1; i > 0; ) {
                --i;
                r = Z3_mk_concat(ctx, _args[i], r);
                ctx.check_error();
            }
        }
        ctx.check_error();
        return expr(ctx, r);
    }

expr distinct ( expr_vector const &  args )

friend

Definition at line 2555 of file z3++.h.

                                                  {
        assert(args.size() > 0);
        context& ctx = args[0u].ctx();
        array<Z3_ast> _args(args);
        Z3_ast r = Z3_mk_distinct(ctx, _args.size(), _args.ptr());
        ctx.check_error();
        return expr(ctx, r);
    }

expr fma ( expr const &  a, expr const &  b, expr const &  c, expr const &  rm  )

friend

FloatingPoint fused multiply-add.

Definition at line 2118 of file z3++.h.

                                                                                 {
        check_context(a, b); check_context(a, c); check_context(a, rm);
        assert(a.is_fpa() && b.is_fpa() && c.is_fpa());
        Z3_ast r = Z3_mk_fpa_fma(a.ctx(), rm, a, b, c);
        a.check_error();
        return expr(a.ctx(), r);
    }

expr fp_eq ( expr const &  a, expr const &  b  )

friend

Definition at line 2109 of file z3++.h.

                                                      {
        check_context(a, b);
        assert(a.is_fpa());
        Z3_ast r = Z3_mk_fpa_eq(a.ctx(), a, b);
        a.check_error();
        return expr(a.ctx(), r);
    }

expr fpa_fp ( expr const &  sgn, expr const &  exp, expr const &  sig  )

friend

Create an expression of FloatingPoint sort from three bit-vector expressions.

Definition at line 2126 of file z3++.h.

                                                                          {
        check_context(sgn, exp); check_context(exp, sig);
        assert(sgn.is_bv() && exp.is_bv() && sig.is_bv());
        Z3_ast r = Z3_mk_fpa_fp(sgn.ctx(), sgn, exp, sig);
        sgn.check_error();
        return expr(sgn.ctx(), r);
    }

expr fpa_to_fpa ( expr const &  t, sort  s  )

friend

Conversion of a floating-point term into another floating-point.

Definition at line 2162 of file z3++.h.

                                                  {
        assert(t.is_fpa());
        Z3_ast r = Z3_mk_fpa_to_fp_float(t.ctx(), t.ctx().fpa_rounding_mode(), t, s);
        t.check_error();
        return expr(t.ctx(), r);
    }

expr fpa_to_sbv ( expr const &  t, unsigned  sz  )

friend

Conversion of a floating-point term into a signed bit-vector.

Definition at line 2134 of file z3++.h.

                                                       {
        assert(t.is_fpa());
        Z3_ast r = Z3_mk_fpa_to_sbv(t.ctx(), t.ctx().fpa_rounding_mode(), t, sz);
        t.check_error();
        return expr(t.ctx(), r);
    }

expr fpa_to_ubv ( expr const &  t, unsigned  sz  )

friend

Conversion of a floating-point term into an unsigned bit-vector.

Definition at line 2141 of file z3++.h.

                                                       {
        assert(t.is_fpa());
        Z3_ast r = Z3_mk_fpa_to_ubv(t.ctx(), t.ctx().fpa_rounding_mode(), t, sz);
        t.check_error();
        return expr(t.ctx(), r);
    }

expr implies ( expr const &  a, expr const &  b  )

friend

Definition at line 1716 of file z3++.h.

                                                        {
        assert(a.is_bool() && b.is_bool());
        _Z3_MK_BIN_(a, b, Z3_mk_implies);
    }

expr implies ( expr const &  a, bool  b  )

friend

Definition at line 1720 of file z3++.h.

{ return implies(a, a.ctx().bool_val(b)); }

expr implies ( bool  a, expr const &  b  )

friend

Definition at line 1721 of file z3++.h.

{ return implies(b.ctx().bool_val(a), b); }

expr int2bv ( unsigned  n, expr const &  a  )

friend

Definition at line 2329 of file z3++.h.

{ Z3_ast r = Z3_mk_int2bv(a.ctx(), n, a); a.check_error(); return expr(a.ctx(), r); }

expr is_int ( expr const &  e )

friend

Definition at line 1764 of file z3++.h.

{ _Z3_MK_UN_(e, Z3_mk_is_int); }

expr ite ( expr const &  c, expr const &  t, expr const &  e  )

friend

Create the if-then-else expression ite(c, t, e)

Precondition

c.is_bool()

Definition at line 2181 of file z3++.h.

                                                                    {
        check_context(c, t); check_context(c, e);
        assert(c.is_bool());
        Z3_ast r = Z3_mk_ite(c.ctx(), c, t, e);
        c.check_error();
        return expr(c.ctx(), r);
    }

expr max ( expr const &  a, expr const &  b  )

friend

Definition at line 2054 of file z3++.h.

                                                  { 
        check_context(a, b); 
        Z3_ast r;
        if (a.is_arith()) {
            r = Z3_mk_ite(a.ctx(), Z3_mk_ge(a.ctx(), a, b), a, b);
        }
        else if (a.is_bv()) {
            r = Z3_mk_ite(a.ctx(), Z3_mk_bvuge(a.ctx(), a, b), a, b);
        }
        else {
            assert(a.is_fpa());
            r = Z3_mk_fpa_max(a.ctx(), a, b); 
        }
        a.check_error();
        return expr(a.ctx(), r); 
    }

expr min ( expr const &  a, expr const &  b  )

friend

Definition at line 2038 of file z3++.h.

                                                  { 
        check_context(a, b); 
        Z3_ast r;
        if (a.is_arith()) {
            r = Z3_mk_ite(a.ctx(), Z3_mk_ge(a.ctx(), a, b), b, a);
        }
        else if (a.is_bv()) {
            r = Z3_mk_ite(a.ctx(), Z3_mk_bvuge(a.ctx(), a, b), b, a);
        }
        else {
            assert(a.is_fpa());
            r = Z3_mk_fpa_min(a.ctx(), a, b); 
        }
        a.check_error();
        return expr(a.ctx(), r); 
    }

expr mk_and ( expr_vector const &  args )

friend

Definition at line 2642 of file z3++.h.

                                                {
        array<Z3_ast> _args(args);
        Z3_ast r = Z3_mk_and(args.ctx(), _args.size(), _args.ptr());
        args.check_error();
        return expr(args.ctx(), r);
    }

expr mk_or ( expr_vector const &  args )

friend

Definition at line 2636 of file z3++.h.

                                               {
        array<Z3_ast> _args(args);
        Z3_ast r = Z3_mk_or(args.ctx(), _args.size(), _args.ptr());
        args.check_error();
        return expr(args.ctx(), r);
    }

expr mk_xor ( expr_vector const &  args )

friend

Definition at line 2648 of file z3++.h.

                                                {
        if (args.empty())
            return args.ctx().bool_val(false);
        expr r = args[0u];
        for (unsigned i = 1; i < args.size(); ++i)
            r = r ^ args[i];
        return r;
    }

expr mod ( expr const &  a, expr const &  b  )

friend

Definition at line 1728 of file z3++.h.

                                                  { 
        if (a.is_bv()) {
            _Z3_MK_BIN_(a, b, Z3_mk_bvsmod);   
        }
        else {
            _Z3_MK_BIN_(a, b, Z3_mk_mod);   
        }
    }

expr mod ( expr const &  a, int  b  )

friend

Definition at line 1736 of file z3++.h.

{ return mod(a, a.ctx().num_val(b, a.get_sort())); }

expr mod ( int  a, expr const &  b  )

friend

Definition at line 1737 of file z3++.h.

{ return mod(b.ctx().num_val(a, b.get_sort()), b); }

expr nand ( expr const &  a, expr const &  b  )

friend

Definition at line 2035 of file z3++.h.

{ if (a.is_bool()) return !(a && b); check_context(a, b); Z3_ast r = Z3_mk_bvnand(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r); }

expr nor ( expr const &  a, expr const &  b  )

friend

Definition at line 2036 of file z3++.h.

{ if (a.is_bool()) return !(a || b); check_context(a, b); Z3_ast r = Z3_mk_bvnor(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r); }

expr operator! ( expr const &  a )

friend

Return an expression representing not(a).

Precondition

a.is_bool()

Definition at line 1762 of file z3++.h.

{ assert(a.is_bool()); _Z3_MK_UN_(a, Z3_mk_not); }

expr operator!= ( expr const &  a, expr const &  b  )

friend

Definition at line 1804 of file z3++.h.

                                                           {
        check_context(a, b);
        Z3_ast args[2] = { a, b };
        Z3_ast r = Z3_mk_distinct(a.ctx(), 2, args);
        a.check_error();
        return expr(a.ctx(), r);
    }

expr operator!= ( expr const &  a, int  b  )

friend

Definition at line 1811 of file z3++.h.

{ assert(a.is_arith() || a.is_bv() || a.is_fpa()); return a != a.ctx().num_val(b, a.get_sort()); }

expr operator!= ( int  a, expr const &  b  )

friend

Definition at line 1812 of file z3++.h.

{ assert(b.is_arith() || b.is_bv() || b.is_fpa()); return b.ctx().num_val(a, b.get_sort()) != b; }

expr operator& ( expr const &  a, expr const &  b  )

friend

Definition at line 2023 of file z3++.h.

{ if (a.is_bool()) return a && b; check_context(a, b); Z3_ast r = Z3_mk_bvand(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r); }

expr operator& ( expr const &  a, int  b  )

friend

Definition at line 2024 of file z3++.h.

{ return a & a.ctx().num_val(b, a.get_sort()); }

expr operator& ( int  a, expr const &  b  )

friend

Definition at line 2025 of file z3++.h.

{ return b.ctx().num_val(a, b.get_sort()) & b; }

expr operator&& ( expr const &  a, expr const &  b  )

friend

Return an expression representing a and b.

Precondition

a.is_bool()

b.is_bool()

Definition at line 1768 of file z3++.h.

                                                           {
        check_context(a, b);
        assert(a.is_bool() && b.is_bool());
        Z3_ast args[2] = { a, b };
        Z3_ast r = Z3_mk_and(a.ctx(), 2, args);
        a.check_error();
        return expr(a.ctx(), r);
    }

expr operator&& ( expr const &  a, bool  b  )

friend

Return an expression representing a and b. The C++ Boolean value b is automatically converted into a Z3 Boolean constant.

Precondition

a.is_bool()

Definition at line 1777 of file z3++.h.

{ return a && a.ctx().bool_val(b); }

expr operator&& ( bool  a, expr const &  b  )

friend

Return an expression representing a and b. The C++ Boolean value a is automatically converted into a Z3 Boolean constant.

Precondition

b.is_bool()

Definition at line 1778 of file z3++.h.

{ return b.ctx().bool_val(a) && b; }

expr operator* ( expr const &  a, expr const &  b  )

friend

Definition at line 1846 of file z3++.h.

                                                          {
        check_context(a, b);
        Z3_ast r = 0;
        if (a.is_arith() && b.is_arith()) {
            Z3_ast args[2] = { a, b };
            r = Z3_mk_mul(a.ctx(), 2, args);
        }
        else if (a.is_bv() && b.is_bv()) {
            r = Z3_mk_bvmul(a.ctx(), a, b);
        }
        else if (a.is_fpa() && b.is_fpa()) {
            r = Z3_mk_fpa_mul(a.ctx(), a.ctx().fpa_rounding_mode(), a, b);
        }
        else {
            // operator is not supported by given arguments.
            assert(false);
        }
        a.check_error();
        return expr(a.ctx(), r);
    }

expr operator* ( expr const &  a, int  b  )

friend

Definition at line 1866 of file z3++.h.

{ return a * a.ctx().num_val(b, a.get_sort()); }

expr operator* ( int  a, expr const &  b  )

friend

Definition at line 1867 of file z3++.h.

{ return b.ctx().num_val(a, b.get_sort()) * b; }

expr operator+ ( expr const &  a, expr const &  b  )

friend

Definition at line 1816 of file z3++.h.

                                                          {
        check_context(a, b);
        Z3_ast r = 0;
        if (a.is_arith() && b.is_arith()) {
            Z3_ast args[2] = { a, b };
            r = Z3_mk_add(a.ctx(), 2, args);
        }
        else if (a.is_bv() && b.is_bv()) {
            r = Z3_mk_bvadd(a.ctx(), a, b);
        }
        else if (a.is_seq() && b.is_seq()) {
            return concat(a, b);
        }
        else if (a.is_re() && b.is_re()) {
            Z3_ast _args[2] = { a, b };
            r = Z3_mk_re_union(a.ctx(), 2, _args);
        }
        else if (a.is_fpa() && b.is_fpa()) {
            r = Z3_mk_fpa_add(a.ctx(), a.ctx().fpa_rounding_mode(), a, b);
        }
        else {
            // operator is not supported by given arguments.
            assert(false);
        }
        a.check_error();
        return expr(a.ctx(), r);
    }

expr operator+ ( expr const &  a, int  b  )

friend

Definition at line 1843 of file z3++.h.

{ return a + a.ctx().num_val(b, a.get_sort()); }

expr operator+ ( int  a, expr const &  b  )

friend

Definition at line 1844 of file z3++.h.

{ return b.ctx().num_val(a, b.get_sort()) + b; }

expr operator- ( expr const &  a )

friend

Definition at line 1912 of file z3++.h.

                                          {
        Z3_ast r = 0;
        if (a.is_arith()) {
            r = Z3_mk_unary_minus(a.ctx(), a);
        }
        else if (a.is_bv()) {
            r = Z3_mk_bvneg(a.ctx(), a);
        }
        else if (a.is_fpa()) {
            r = Z3_mk_fpa_neg(a.ctx(), a);
        }
        else {
            // operator is not supported by given arguments.
            assert(false);
        }
        a.check_error();
        return expr(a.ctx(), r);
    }

expr operator- ( expr const &  a, expr const &  b  )

friend

Definition at line 1931 of file z3++.h.

                                                          {
        check_context(a, b);
        Z3_ast r = 0;
        if (a.is_arith() && b.is_arith()) {
            Z3_ast args[2] = { a, b };
            r = Z3_mk_sub(a.ctx(), 2, args);
        }
        else if (a.is_bv() && b.is_bv()) {
            r = Z3_mk_bvsub(a.ctx(), a, b);
        }
        else if (a.is_fpa() && b.is_fpa()) {
            r = Z3_mk_fpa_sub(a.ctx(), a.ctx().fpa_rounding_mode(), a, b);
        }
        else {
            // operator is not supported by given arguments.
            assert(false);
        }
        a.check_error();
        return expr(a.ctx(), r);
    }

expr operator- ( expr const &  a, int  b  )

friend

Definition at line 1951 of file z3++.h.

{ return a - a.ctx().num_val(b, a.get_sort()); }

expr operator- ( int  a, expr const &  b  )

friend

Definition at line 1952 of file z3++.h.

{ return b.ctx().num_val(a, b.get_sort()) - b; }

expr operator/ ( expr const &  a, expr const &  b  )

friend

Definition at line 1890 of file z3++.h.

                                                          {
        check_context(a, b);
        Z3_ast r = 0;
        if (a.is_arith() && b.is_arith()) {
            r = Z3_mk_div(a.ctx(), a, b);
        }
        else if (a.is_bv() && b.is_bv()) {
            r = Z3_mk_bvsdiv(a.ctx(), a, b);
        }
        else if (a.is_fpa() && b.is_fpa()) {
            r = Z3_mk_fpa_div(a.ctx(), a.ctx().fpa_rounding_mode(), a, b);
        }
        else {
            // operator is not supported by given arguments.
            assert(false);
        }
        a.check_error();
        return expr(a.ctx(), r);
    }

expr operator/ ( expr const &  a, int  b  )

friend

Definition at line 1909 of file z3++.h.

{ return a / a.ctx().num_val(b, a.get_sort()); }

expr operator/ ( int  a, expr const &  b  )

friend

Definition at line 1910 of file z3++.h.

{ return b.ctx().num_val(a, b.get_sort()) / b; }

expr operator< ( expr const &  a, expr const &  b  )

friend

Definition at line 1979 of file z3++.h.

                                                          {
        check_context(a, b);
        Z3_ast r = 0;
        if (a.is_arith() && b.is_arith()) {
            r = Z3_mk_lt(a.ctx(), a, b);
        }
        else if (a.is_bv() && b.is_bv()) {
            r = Z3_mk_bvslt(a.ctx(), a, b);
        }
        else if (a.is_fpa() && b.is_fpa()) {
            r = Z3_mk_fpa_lt(a.ctx(), a, b);
        }
        else {
            // operator is not supported by given arguments.
            assert(false);
        }
        a.check_error();
        return expr(a.ctx(), r);
    }

expr operator< ( expr const &  a, int  b  )

friend

Definition at line 1998 of file z3++.h.

{ return a < a.ctx().num_val(b, a.get_sort()); }

expr operator< ( int  a, expr const &  b  )

friend

Definition at line 1999 of file z3++.h.

{ return b.ctx().num_val(a, b.get_sort()) < b; }

expr operator<= ( expr const &  a, expr const &  b  )

friend

Definition at line 1954 of file z3++.h.

                                                           {
        check_context(a, b);
        Z3_ast r = 0;
        if (a.is_arith() && b.is_arith()) {
            r = Z3_mk_le(a.ctx(), a, b);
        }
        else if (a.is_bv() && b.is_bv()) {
            r = Z3_mk_bvsle(a.ctx(), a, b);
        }
        else if (a.is_fpa() && b.is_fpa()) {
            r = Z3_mk_fpa_leq(a.ctx(), a, b);
        }
        else {
            // operator is not supported by given arguments.
            assert(false);
        }
        a.check_error();
        return expr(a.ctx(), r);
    }

expr operator<= ( expr const &  a, int  b  )

friend

Definition at line 1973 of file z3++.h.

{ return a <= a.ctx().num_val(b, a.get_sort()); }

expr operator<= ( int  a, expr const &  b  )

friend

Definition at line 1974 of file z3++.h.

{ return b.ctx().num_val(a, b.get_sort()) <= b; }

expr operator== ( expr const &  a, expr const &  b  )

friend

Definition at line 1793 of file z3++.h.

                                                           {
        check_context(a, b);
        Z3_ast r = Z3_mk_eq(a.ctx(), a, b);
        a.check_error();
        return expr(a.ctx(), r);
    }

expr operator== ( expr const &  a, int  b  )

friend

Definition at line 1799 of file z3++.h.

{ assert(a.is_arith() || a.is_bv() || a.is_fpa()); return a == a.ctx().num_val(b, a.get_sort()); }

expr operator== ( int  a, expr const &  b  )

friend

Definition at line 1800 of file z3++.h.

{ assert(b.is_arith() || b.is_bv() || b.is_fpa()); return b.ctx().num_val(a, b.get_sort()) == b; }

expr operator> ( expr const &  a, expr const &  b  )

friend

Definition at line 2001 of file z3++.h.

                                                          {
        check_context(a, b);
        Z3_ast r = 0;
        if (a.is_arith() && b.is_arith()) {
            r = Z3_mk_gt(a.ctx(), a, b);
        }
        else if (a.is_bv() && b.is_bv()) {
            r = Z3_mk_bvsgt(a.ctx(), a, b);
        }
        else if (a.is_fpa() && b.is_fpa()) {
            r = Z3_mk_fpa_gt(a.ctx(), a, b);
        }
        else {
            // operator is not supported by given arguments.
            assert(false);
        }
        a.check_error();
        return expr(a.ctx(), r);
    }

expr operator> ( expr const &  a, int  b  )

friend

Definition at line 2020 of file z3++.h.

{ return a > a.ctx().num_val(b, a.get_sort()); }

expr operator> ( int  a, expr const &  b  )

friend

Definition at line 2021 of file z3++.h.

{ return b.ctx().num_val(a, b.get_sort()) > b; }

expr operator>= ( expr const &  a, expr const &  b  )

friend

Definition at line 1870 of file z3++.h.

                                                           {
        check_context(a, b);
        Z3_ast r = 0;
        if (a.is_arith() && b.is_arith()) {
            r = Z3_mk_ge(a.ctx(), a, b);
        }
        else if (a.is_bv() && b.is_bv()) {
            r = Z3_mk_bvsge(a.ctx(), a, b);
        }
        else if (a.is_fpa() && b.is_fpa()) {
            r = Z3_mk_fpa_geq(a.ctx(), a, b);
        }
        else {
            // operator is not supported by given arguments.
            assert(false);
        }
        a.check_error();
        return expr(a.ctx(), r);
    }

expr operator>= ( expr const &  a, int  b  )

friend

Definition at line 1976 of file z3++.h.

{ return a >= a.ctx().num_val(b, a.get_sort()); }

expr operator>= ( int  a, expr const &  b  )

friend

Definition at line 1977 of file z3++.h.

{ return b.ctx().num_val(a, b.get_sort()) >= b; }

expr operator^ ( expr const &  a, expr const &  b  )

friend

Definition at line 2027 of file z3++.h.

{ check_context(a, b); Z3_ast r = a.is_bool() ? Z3_mk_xor(a.ctx(), a, b) : Z3_mk_bvxor(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r); }

expr operator^ ( expr const &  a, int  b  )

friend

Definition at line 2028 of file z3++.h.

{ return a ^ a.ctx().num_val(b, a.get_sort()); }

expr operator^ ( int  a, expr const &  b  )

friend

Definition at line 2029 of file z3++.h.

{ return b.ctx().num_val(a, b.get_sort()) ^ b; }

expr operator| ( expr const &  a, expr const &  b  )

friend

Definition at line 2031 of file z3++.h.

{ if (a.is_bool()) return a || b; check_context(a, b); Z3_ast r = Z3_mk_bvor(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r); }

expr operator| ( expr const &  a, int  b  )

friend

Definition at line 2032 of file z3++.h.

{ return a | a.ctx().num_val(b, a.get_sort()); }

expr operator| ( int  a, expr const &  b  )

friend

Definition at line 2033 of file z3++.h.

{ return b.ctx().num_val(a, b.get_sort()) | b; }

expr operator|| ( expr const &  a, expr const &  b  )

friend

Return an expression representing a or b.

Precondition

a.is_bool()

b.is_bool()

Definition at line 1780 of file z3++.h.

                                                           {
        check_context(a, b);
        assert(a.is_bool() && b.is_bool());
        Z3_ast args[2] = { a, b };
        Z3_ast r = Z3_mk_or(a.ctx(), 2, args);
        a.check_error();
        return expr(a.ctx(), r);
    }

expr operator|| ( expr const &  a, bool  b  )

friend

Return an expression representing a or b. The C++ Boolean value b is automatically converted into a Z3 Boolean constant.

Precondition

a.is_bool()

Definition at line 1789 of file z3++.h.

{ return a || a.ctx().bool_val(b); }

expr operator|| ( bool  a, expr const &  b  )

friend

Return an expression representing a or b. The C++ Boolean value a is automatically converted into a Z3 Boolean constant.

Precondition

b.is_bool()

Definition at line 1791 of file z3++.h.

{ return b.ctx().bool_val(a) || b; }

expr operator~ ( expr const &  a )

friend

Definition at line 2116 of file z3++.h.

{ Z3_ast r = Z3_mk_bvnot(a.ctx(), a); return expr(a.ctx(), r); }

expr pbeq ( expr_vector const &  es, int const *  coeffs, int  bound  )

friend

Definition at line 2522 of file z3++.h.

                                                                          {
        assert(es.size() > 0);
        context& ctx = es[0u].ctx();
        array<Z3_ast> _es(es);
        Z3_ast r = Z3_mk_pbeq(ctx, _es.size(), _es.ptr(), coeffs, bound);
        ctx.check_error();
        return expr(ctx, r);
    }

expr pbge ( expr_vector const &  es, int const *  coeffs, int  bound  )

friend

Definition at line 2514 of file z3++.h.

                                                                          {
        assert(es.size() > 0);
        context& ctx = es[0u].ctx();
        array<Z3_ast> _es(es);
        Z3_ast r = Z3_mk_pbge(ctx, _es.size(), _es.ptr(), coeffs, bound);
        ctx.check_error();
        return expr(ctx, r);
    }

expr pble ( expr_vector const &  es, int const *  coeffs, int  bound  )

friend

Definition at line 2506 of file z3++.h.

                                                                          {
        assert(es.size() > 0);
        context& ctx = es[0u].ctx();
        array<Z3_ast> _es(es);
        Z3_ast r = Z3_mk_pble(ctx, _es.size(), _es.ptr(), coeffs, bound);
        ctx.check_error();
        return expr(ctx, r);
    }

expr pw ( expr const &  a, expr const &  b  )

friend

Definition at line 1724 of file z3++.h.

{ _Z3_MK_BIN_(a, b, Z3_mk_power);   }

expr pw ( expr const &  a, int  b  )

friend

Definition at line 1725 of file z3++.h.

{ return pw(a, a.ctx().num_val(b, a.get_sort())); }

expr pw ( int  a, expr const &  b  )

friend

Definition at line 1726 of file z3++.h.

{ return pw(b.ctx().num_val(a, b.get_sort()), b); }

expr range ( expr const &  lo, expr const &  hi  )

friend

Definition at line 4343 of file z3++.h.

                                                      {
        check_context(lo, hi);
        Z3_ast r = Z3_mk_re_range(lo.ctx(), lo, hi);
        lo.check_error();
        return expr(lo.ctx(), r);
    }

expr rem ( expr const &  a, expr const &  b  )

friend

Definition at line 1744 of file z3++.h.

                                                  {
        if (a.is_fpa() && b.is_fpa()) {
            _Z3_MK_BIN_(a, b, Z3_mk_fpa_rem);
        } else {
            _Z3_MK_BIN_(a, b, Z3_mk_rem);
        }
    }

expr rem ( expr const &  a, int  b  )

friend

Definition at line 1751 of file z3++.h.

{ return rem(a, a.ctx().num_val(b, a.get_sort())); }

expr rem ( int  a, expr const &  b  )

friend

Definition at line 1752 of file z3++.h.

{ return rem(b.ctx().num_val(a, b.get_sort()), b); }

expr round_fpa_to_closest_integer ( expr const &  t )

friend

Round a floating-point term into its closest integer.

Definition at line 2169 of file z3++.h.

                                                            {
        assert(t.is_fpa());
        Z3_ast r = Z3_mk_fpa_round_to_integral(t.ctx(), t.ctx().fpa_rounding_mode(), t);
        t.check_error();
        return expr(t.ctx(), r);
    }

expr sbv_to_fpa ( expr const &  t, sort  s  )

friend

Conversion of a signed bit-vector term into a floating-point.

Definition at line 2148 of file z3++.h.

                                                  {
        assert(t.is_bv());
        Z3_ast r = Z3_mk_fpa_to_fp_signed(t.ctx(), t.ctx().fpa_rounding_mode(), t, s);
        t.check_error();
        return expr(t.ctx(), r);
    }

expr sqrt ( expr const &  a, expr const &  rm  )

friend

Definition at line 2102 of file z3++.h.

                                                     {
        check_context(a, rm);
        assert(a.is_fpa());
        Z3_ast r = Z3_mk_fpa_sqrt(a.ctx(), rm, a);
        a.check_error();
        return expr(a.ctx(), r);
    }

expr sum ( expr_vector const &  args )

friend

Definition at line 2546 of file z3++.h.

                                             {
        assert(args.size() > 0);
        context& ctx = args[0u].ctx();
        array<Z3_ast> _args(args);
        Z3_ast r = Z3_mk_add(ctx, _args.size(), _args.ptr());
        ctx.check_error();
        return expr(ctx, r);
    }

expr ubv_to_fpa ( expr const &  t, sort  s  )

friend

Conversion of an unsigned bit-vector term into a floating-point.

Definition at line 2155 of file z3++.h.

                                                  {
        assert(t.is_bv());
        Z3_ast r = Z3_mk_fpa_to_fp_unsigned(t.ctx(), t.ctx().fpa_rounding_mode(), t, s);
        t.check_error();
        return expr(t.ctx(), r);
    }

expr xnor ( expr const &  a, expr const &  b  )

friend

Definition at line 2037 of file z3++.h.

{ if (a.is_bool()) return !(a ^ b); check_context(a, b); Z3_ast r = Z3_mk_bvxnor(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r); }