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
uint64_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	body () const
	Return the 'body' of this quantifier. More...
bool	is_true () const
bool	is_false () const
bool	is_not () const
bool	is_and () const
bool	is_or () const
bool	is_xor () const
bool	is_implies () const
bool	is_eq () const
bool	is_ite () const
bool	is_distinct () const
expr	rotate_left (unsigned i)
expr	rotate_right (unsigned i)
expr	repeat (unsigned i)
expr	extract (unsigned hi, unsigned lo) const
unsigned	lo () const
unsigned	hi () const
expr	extract (expr const &offset, expr const &length) const
	sequence and regular expression operations. More...
expr	replace (expr const &src, expr const &dst) const
expr	unit () const
expr	contains (expr const &s) 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...
iterator	begin ()
iterator	end ()
Public Member Functions inherited from ast
	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
Public Member Functions inherited from object
	object (context &c)
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 755 of file z3++.h.

Constructor & Destructor Documentation

expr ( context &  c )

inline

Definition at line 757 of file z3++.h.

Referenced by expr::algebraic_lower(), expr::algebraic_upper(), expr::arg(), expr::at(), 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(), and expr::unit().

:ast(c) {}

expr ( context &  c, Z3_ast  n  )

inline

Definition at line 758 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 991 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 964 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 981 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 971 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 1152 of file z3++.h.

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

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

bool as_binary ( std::string &  s ) const

inline

Definition at line 833 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 835 of file z3++.h.

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

uint64_t as_int64 ( ) const

inline

Definition at line 837 of file z3++.h.

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

uint64_t as_uint64 ( ) const

inline

Definition at line 836 of file z3++.h.

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

expr at ( expr const &  index ) const

inline

Definition at line 1418 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 1542 of file z3++.h.

{ return iterator(*this, 0); }

expr body ( ) const

inline

Return the 'body' of this quantifier.

Precondition

is_quantifier()

Definition at line 1159 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 1077 of file z3++.h.

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

expr char_from_bv ( ) const

inline

Definition at line 1465 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 1460 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 1455 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 1412 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 1137 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 1089 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 1543 of file z3++.h.

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

expr extract ( unsigned  hi, unsigned  lo  ) const

inline

Definition at line 1348 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 1397 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 956 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 1013 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 1049 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 1032 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 1066 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 763 of file z3++.h.

Referenced by z3::ashr(), z3::concat(), expr::is_arith(), expr::is_array(), expr::is_bool(), expr::is_bv(), expr::is_datatype(), expr::is_finite_domain(), expr::is_fpa(), expr::is_int(), expr::is_re(), expr::is_real(), expr::is_relation(), expr::is_seq(), z3::lshr(), z3::mod(), z3::operator!=(), z3::operator&(), z3::operator*(), z3::operator+(), z3::operator-(), z3::operator/(), z3::operator<(), z3::operator<=(), z3::operator==(), z3::operator>(), z3::operator>=(), z3::operator^(), z3::operator|(), z3::pw(), z3::rem(), z3::select(), z3::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 1108 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 1120 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 1350 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 1001 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 873 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 1228 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 843 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 780 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 788 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 768 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 784 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 847 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 792 of file z3++.h.

{ return get_sort().is_datatype(); }

expr is_digit ( ) const

inline

Definition at line 1470 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 1234 of file z3++.h.

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

bool is_eq ( ) const

inline

Definition at line 1232 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 860 of file z3++.h.

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

bool is_false ( ) const

inline

Definition at line 1226 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 814 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 856 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 818 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 1231 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 772 of file z3++.h.

Referenced by z3::abs().

{ return get_sort().is_int(); }

bool is_ite ( ) const

inline

Definition at line 1233 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 864 of file z3++.h.

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

bool is_not ( ) const

inline

Definition at line 1227 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 825 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 830 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 831 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 832 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 828 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 826 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 829 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 827 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 1229 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 851 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 804 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 776 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 796 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 800 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 1101 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 1225 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 869 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 878 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 1230 of file z3++.h.

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

expr itos ( ) const

inline

Definition at line 1440 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 1430 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 1349 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 1480 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 1485 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 943 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 883 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 893 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 903 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 913 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 923 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 933 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 1424 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 1144 of file z3++.h.

Referenced by AstRef::__bool__(), 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 1081 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 1129 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 1494 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 1502 of file z3++.h.

                                                        {
            return select(*this, index);
        }

expr repeat ( unsigned  i )

inline

Definition at line 1338 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 1401 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 )

inline

Definition at line 1336 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 )

inline

Definition at line 1337 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 1450 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 1509 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 1513 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 1435 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 3851 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 3864 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 ubvtos ( ) const

inline

Definition at line 1445 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 1407 of file z3++.h.

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

Friends And Related Function Documentation

expr abs ( expr const &  a )

friend

Definition at line 1918 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 2353 of file z3++.h.

                                                               {
        assert(es.size() > 0);
        context& ctx = es[0].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 2345 of file z3++.h.

                                                              {
        assert(es.size() > 0);
        context& ctx = es[0].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 2156 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 2162 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 2165 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 2180 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 2183 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 2177 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 1912 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 bvredor ( expr const &  a )

friend

Definition at line 1906 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 2174 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 2168 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 2171 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 2379 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 2397 of file z3++.h.

                                                {
        Z3_ast r;
        assert(args.size() > 0);
        if (args.size() == 1) {
            return args[0];
        }
        context& ctx = args[0].ctx();
        array<Z3_ast> _args(args);
        if (Z3_is_seq_sort(ctx, args[0].get_sort())) {
            r = Z3_mk_seq_concat(ctx, _args.size(), _args.ptr());
        }
        else if (Z3_is_re_sort(ctx, args[0].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 2370 of file z3++.h.

                                                  {
        assert(args.size() > 0);
        context& ctx = args[0].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 1954 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 1945 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 1962 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 1998 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 1970 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 1977 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 1554 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 1558 of file z3++.h.

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

expr implies ( bool  a, expr const &  b  )

friend

Definition at line 1559 of file z3++.h.

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

expr int2bv ( unsigned  n, expr const &  a  )

friend

Definition at line 2157 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 1602 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 2017 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 1891 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); 
        }
        return expr(a.ctx(), r); 
    }

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

friend

Definition at line 1876 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); 
        }
        return expr(a.ctx(), r); 
    }

expr mk_and ( expr_vector const &  args )

friend

Definition at line 2429 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 2423 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 2435 of file z3++.h.

                                                {
        if (args.empty())
            return args.ctx().bool_val(false);
        expr r = args[0];
        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 1566 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 1574 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 1575 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 1873 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); return expr(a.ctx(), r); }

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

friend

Definition at line 1874 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); return expr(a.ctx(), r); }

expr operator! ( expr const &  a )

friend

Return an expression representing not(a).

Precondition

a.is_bool()

Definition at line 1600 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 1642 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 1649 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 1650 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 1861 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); return expr(a.ctx(), r); }

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

friend

Definition at line 1862 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 1863 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 1606 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 1615 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 1616 of file z3++.h.

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

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

friend

Definition at line 1684 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 1704 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 1705 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 1654 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 1681 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 1682 of file z3++.h.

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

expr operator- ( expr const &  a )

friend

Definition at line 1750 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 1769 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 1789 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 1790 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 1728 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 1747 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 1748 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 1817 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 1836 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 1837 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 1792 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 1811 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 1812 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 1631 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 1637 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 1638 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 1839 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 1858 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 1859 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 1708 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 1814 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 1815 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 1865 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); 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 1869 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); return expr(a.ctx(), r); }

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

friend

Definition at line 1870 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 1871 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 1618 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 1627 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 1629 of file z3++.h.

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

expr operator~ ( expr const &  a )

friend

Definition at line 1952 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 2337 of file z3++.h.

                                                                          {
        assert(es.size() > 0);
        context& ctx = es[0].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 2329 of file z3++.h.

                                                                          {
        assert(es.size() > 0);
        context& ctx = es[0].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 2321 of file z3++.h.

                                                                          {
        assert(es.size() > 0);
        context& ctx = es[0].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 1562 of file z3++.h.

{ _Z3_MK_BIN_(a, b, Z3_mk_power);   }

expr pw ( expr const &  a, int  b  )

friend

Definition at line 1563 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 1564 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 3794 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 1582 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 1589 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 1590 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 2005 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 1984 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 1938 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 2361 of file z3++.h.

                                             {
        assert(args.size() > 0);
        context& ctx = args[0].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 1991 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 1875 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); return expr(a.ctx(), r); }