Z3
Data Structures | Public Member Functions | Friends
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 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...
 
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
 
astoperator= (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)
 
contextctx () 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
contextm_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() [1/2]

expr ( context c)
inline

◆ expr() [2/2]

expr ( context c,
Z3_ast  n 
)
inline

Definition at line 758 of file z3++.h.

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

Member Function Documentation

◆ algebraic_i()

unsigned algebraic_i ( ) const
inline

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

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

991  {
992  assert(is_algebraic());
993  unsigned i = Z3_algebraic_get_i(ctx(), m_ast);
994  check_error();
995  return i;
996  }
Z3_ast m_ast
Definition: z3++.h:500
bool is_algebraic() const
Return true if expression is an algebraic number.
Definition: z3++.h:873
context & ctx() const
Definition: z3++.h:422
Z3_error_code check_error() const
Definition: z3++.h:423
unsigned Z3_API Z3_algebraic_get_i(Z3_context c, Z3_ast a)
Return which root of the polynomial the algebraic number represents.

◆ algebraic_lower()

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.

964  {
965  assert(is_algebraic());
966  Z3_ast r = Z3_get_algebraic_number_lower(ctx(), m_ast, precision);
967  check_error();
968  return expr(ctx(), r);
969  }
expr(context &c)
Definition: z3++.h:757
Z3_ast Z3_API Z3_get_algebraic_number_lower(Z3_context c, Z3_ast a, unsigned precision)
Return a lower bound for the given real algebraic number. The interval isolating the number is smalle...

◆ algebraic_poly()

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.

981  {
982  assert(is_algebraic());
983  Z3_ast_vector r = Z3_algebraic_get_poly(ctx(), m_ast);
984  check_error();
985  return expr_vector(ctx(), r);
986  }
Z3_ast_vector Z3_API Z3_algebraic_get_poly(Z3_context c, Z3_ast a)
Return the coefficients of the defining polynomial.
ast_vector_tpl< expr > expr_vector
Definition: z3++.h:74

◆ algebraic_upper()

expr algebraic_upper ( unsigned  precision) const
inline

Definition at line 971 of file z3++.h.

971  {
972  assert(is_algebraic());
973  Z3_ast r = Z3_get_algebraic_number_upper(ctx(), m_ast, precision);
974  check_error();
975  return expr(ctx(), r);
976  }
Z3_ast Z3_API Z3_get_algebraic_number_upper(Z3_context c, Z3_ast a, unsigned precision)
Return a upper bound for the given real algebraic number. The interval isolating the number is smalle...

◆ arg()

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.

1152 { Z3_ast r = Z3_get_app_arg(ctx(), *this, i); check_error(); return expr(ctx(), r); }
Z3_ast Z3_API Z3_get_app_arg(Z3_context c, Z3_app a, unsigned i)
Return the i-th argument of the given application.

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

◆ args()

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 1159 of file z3++.h.

1159  {
1160  expr_vector vec(ctx());
1161  unsigned argCnt = num_args();
1162  for (unsigned i = 0; i < argCnt; i++)
1163  vec.push_back(arg(i));
1164  return vec;
1165  }
unsigned num_args() const
Return the number of arguments in this application. This method assumes the expression is an applicat...
Definition: z3++.h:1144
expr arg(unsigned i) const
Return the i-th argument of this application. This method assumes the expression is an application.
Definition: z3++.h:1152

◆ as_binary()

bool as_binary ( std::string &  s) const
inline

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

833 { if (!is_numeral()) return false; s = Z3_get_numeral_binary_string(ctx(), m_ast); check_error(); return true; }
bool is_numeral() const
Return true if this expression is a numeral. Specialized functions also return representations for th...
Definition: z3++.h:825
Z3_string Z3_API Z3_get_numeral_binary_string(Z3_context c, Z3_ast a)
Return numeral value, as a binary string of a numeric constant term.

◆ as_double()

double as_double ( ) const
inline

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

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

◆ as_int64()

int64_t as_int64 ( ) const
inline

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

837 { int64_t r = 0; is_numeral_i64(r); return r; }
bool is_numeral_i64(int64_t &i) const
Definition: z3++.h:826

◆ as_uint64()

uint64_t as_uint64 ( ) const
inline

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

836 { uint64_t r = 0; is_numeral_u64(r); return r; }
bool is_numeral_u64(uint64_t &i) const
Definition: z3++.h:827

◆ at()

expr at ( expr const &  index) const
inline

Definition at line 1432 of file z3++.h.

1432  {
1433  check_context(*this, index);
1434  Z3_ast r = Z3_mk_seq_at(ctx(), *this, index);
1435  check_error();
1436  return expr(ctx(), r);
1437  }
friend void check_context(object const &a, object const &b)
Definition: z3++.h:426
Z3_ast Z3_API Z3_mk_seq_at(Z3_context c, Z3_ast s, Z3_ast index)
Retrieve from s the unit sequence positioned at position index. The sequence is empty if the index is...

◆ begin()

iterator begin ( )
inline

Definition at line 1556 of file z3++.h.

1556 { return iterator(*this, 0); }

◆ bit2bool()

expr bit2bool ( unsigned  i) const
inline

Definition at line 1362 of file z3++.h.

1362 { Z3_ast r = Z3_mk_bit2bool(ctx(), i, *this); ctx().check_error(); return expr(ctx(), r); }
Z3_error_code check_error() const
Auxiliary method used to check for API usage errors.
Definition: z3++.h:189
Z3_ast Z3_API Z3_mk_bit2bool(Z3_context c, unsigned i, Z3_ast t1)
Extracts the bit at position i of a bit-vector and yields a boolean.

◆ body()

expr body ( ) const
inline

Return the 'body' of this quantifier.

Precondition
is_quantifier()

Definition at line 1172 of file z3++.h.

1172 { assert(is_quantifier()); Z3_ast r = Z3_get_quantifier_body(ctx(), *this); check_error(); return expr(ctx(), r); }
bool is_quantifier() const
Return true if this expression is a quantifier.
Definition: z3++.h:851
Z3_ast Z3_API Z3_get_quantifier_body(Z3_context c, Z3_ast a)
Return body of quantifier.

Referenced by QuantifierRef::children().

◆ bool_value()

Z3_lbool bool_value ( ) const
inline

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

1077  {
1078  return Z3_get_bool_value(ctx(), m_ast);
1079  }
Z3_lbool Z3_API Z3_get_bool_value(Z3_context c, Z3_ast a)
Return Z3_L_TRUE if a is true, Z3_L_FALSE if it is false, and Z3_L_UNDEF otherwise.

◆ char_from_bv()

expr char_from_bv ( ) const
inline

Definition at line 1479 of file z3++.h.

1479  {
1480  Z3_ast r = Z3_mk_char_from_bv(ctx(), *this);
1481  check_error();
1482  return expr(ctx(), r);
1483  }
Z3_ast Z3_API Z3_mk_char_from_bv(Z3_context c, Z3_ast bv)
Create a character from a bit-vector (code point).

◆ char_to_bv()

expr char_to_bv ( ) const
inline

Definition at line 1474 of file z3++.h.

1474  {
1475  Z3_ast r = Z3_mk_char_to_bv(ctx(), *this);
1476  check_error();
1477  return expr(ctx(), r);
1478  }
Z3_ast Z3_API Z3_mk_char_to_bv(Z3_context c, Z3_ast ch)
Create a bit-vector (code point) from character.

◆ char_to_int()

expr char_to_int ( ) const
inline

Definition at line 1469 of file z3++.h.

1469  {
1470  Z3_ast r = Z3_mk_char_to_int(ctx(), *this);
1471  check_error();
1472  return expr(ctx(), r);
1473  }
Z3_ast Z3_API Z3_mk_char_to_int(Z3_context c, Z3_ast ch)
Create an integer (code point) from character.

◆ contains()

expr contains ( expr const &  s) const
inline

Definition at line 1426 of file z3++.h.

1426  {
1427  check_context(*this, s);
1428  Z3_ast r = Z3_mk_seq_contains(ctx(), *this, s);
1429  check_error();
1430  return expr(ctx(), r);
1431  }
Z3_ast Z3_API Z3_mk_seq_contains(Z3_context c, Z3_ast container, Z3_ast containee)
Check if container contains containee.

◆ decl()

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.

1137 { Z3_func_decl f = Z3_get_app_decl(ctx(), *this); check_error(); return func_decl(ctx(), f); }
Z3_func_decl Z3_API Z3_get_app_decl(Z3_context c, Z3_app a)
Return the declaration of a constant or function application.

Referenced by expr::hi(), expr::is_and(), expr::is_distinct(), expr::is_eq(), expr::is_false(), expr::is_implies(), expr::is_ite(), expr::is_not(), expr::is_or(), expr::is_true(), expr::is_xor(), expr::lo(), and ExprRef::params().

◆ denominator()

expr denominator ( ) const
inline

Definition at line 1089 of file z3++.h.

1089  {
1090  assert(is_numeral());
1091  Z3_ast r = Z3_get_denominator(ctx(), m_ast);
1092  check_error();
1093  return expr(ctx(),r);
1094  }
Z3_ast Z3_API Z3_get_denominator(Z3_context c, Z3_ast a)
Return the denominator (as a numeral AST) of a numeral AST of sort Real.

Referenced by RatNumRef::denominator_as_long(), and RatNumRef::is_int_value().

◆ end()

iterator end ( )
inline

Definition at line 1557 of file z3++.h.

1557 { return iterator(*this, is_app() ? num_args() : 0); }
bool is_app() const
Return true if this expression is an application.
Definition: z3++.h:843

◆ extract() [1/2]

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 1411 of file z3++.h.

1411  {
1412  check_context(*this, offset); check_context(offset, length);
1413  Z3_ast r = Z3_mk_seq_extract(ctx(), *this, offset, length); check_error(); return expr(ctx(), r);
1414  }
expr length() const
Definition: z3++.h:1444
Z3_ast Z3_API Z3_mk_seq_extract(Z3_context c, Z3_ast s, Z3_ast offset, Z3_ast length)
Extract subsequence starting at offset of length.

◆ extract() [2/2]

expr extract ( unsigned  hi,
unsigned  lo 
) const
inline

Definition at line 1361 of file z3++.h.

1361 { Z3_ast r = Z3_mk_extract(ctx(), hi, lo, *this); ctx().check_error(); return expr(ctx(), r); }
unsigned hi() const
Definition: z3++.h:1364
unsigned lo() const
Definition: z3++.h:1363
Z3_ast Z3_API Z3_mk_extract(Z3_context c, unsigned high, unsigned low, Z3_ast t1)
Extract the bits high down to low from a bit-vector of size m to yield a new bit-vector of size n,...

◆ get_decimal_string()

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.

956  {
957  assert(is_numeral() || is_algebraic());
958  return std::string(Z3_get_numeral_decimal_string(ctx(), m_ast, precision));
959  }
Z3_string Z3_API Z3_get_numeral_decimal_string(Z3_context c, Z3_ast a, unsigned precision)
Return numeral as a string in decimal notation. The result has at most precision decimal places.

◆ get_numeral_int()

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.

1013  {
1014  int result = 0;
1015  if (!is_numeral_i(result)) {
1016  assert(ctx().enable_exceptions());
1017  if (!ctx().enable_exceptions()) return 0;
1018  Z3_THROW(exception("numeral does not fit in machine int"));
1019  }
1020  return result;
1021  }
bool is_numeral_i(int &i) const
Definition: z3++.h:828
#define Z3_THROW(x)
Definition: z3++.h:101

◆ get_numeral_int64()

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.

1049  {
1050  assert(is_numeral());
1051  int64_t result = 0;
1052  if (!is_numeral_i64(result)) {
1053  assert(ctx().enable_exceptions());
1054  if (!ctx().enable_exceptions()) return 0;
1055  Z3_THROW(exception("numeral does not fit in machine int64_t"));
1056  }
1057  return result;
1058  }

◆ get_numeral_uint()

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.

1032  {
1033  assert(is_numeral());
1034  unsigned result = 0;
1035  if (!is_numeral_u(result)) {
1036  assert(ctx().enable_exceptions());
1037  if (!ctx().enable_exceptions()) return 0;
1038  Z3_THROW(exception("numeral does not fit in machine uint"));
1039  }
1040  return result;
1041  }
bool is_numeral_u(unsigned &i) const
Definition: z3++.h:829

◆ get_numeral_uint64()

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.

1066  {
1067  assert(is_numeral());
1068  uint64_t result = 0;
1069  if (!is_numeral_u64(result)) {
1070  assert(ctx().enable_exceptions());
1071  if (!ctx().enable_exceptions()) return 0;
1072  Z3_THROW(exception("numeral does not fit in machine uint64_t"));
1073  }
1074  return result;
1075  }

◆ get_sort()

sort get_sort ( ) const
inline

Return the sort of this expression.

Definition at line 763 of file z3++.h.

763 { Z3_sort s = Z3_get_sort(*m_ctx, m_ast); check_error(); return sort(*m_ctx, s); }
context * m_ctx
Definition: z3++.h:419
Z3_sort Z3_API Z3_get_sort(Z3_context c, Z3_ast a)
Return the sort of an AST node.

Referenced by z3::ashr(), 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::select(), z3::sge(), z3::sgt(), z3::shl(), z3::sle(), z3::slt(), z3::smod(), ModelRef::sorts(), z3::srem(), z3::store(), z3::udiv(), z3::uge(), z3::ugt(), z3::ule(), z3::ult(), and z3::urem().

◆ get_string()

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.

1108  {
1109  assert(is_string_value());
1110  char const* s = Z3_get_string(ctx(), m_ast);
1111  check_error();
1112  return std::string(s);
1113  }
bool is_string_value() const
Return true if this expression is a string literal. The string can be accessed using get_string() and...
Definition: z3++.h:1101
Z3_string Z3_API Z3_get_string(Z3_context c, Z3_ast s)
Retrieve the string constant stored in s. Characters outside the basic printiable ASCII range are esc...

◆ get_u32string()

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.

1120  {
1121  assert(is_string_value());
1122  unsigned n = Z3_get_string_length(ctx(), m_ast);
1123  std::u32string s;
1124  s.resize(n);
1125  Z3_get_string_contents(ctx(), m_ast, n, (unsigned*)s.data());
1126  return s;
1127  }
void Z3_API Z3_get_string_contents(Z3_context c, Z3_ast s, unsigned length, unsigned contents[])
Retrieve the unescaped string constant stored in s.
unsigned Z3_API Z3_get_string_length(Z3_context c, Z3_ast s)
Retrieve the length of the unescaped string constant stored in s.

◆ hi()

unsigned hi ( ) const
inline

Definition at line 1364 of file z3++.h.

1364 { assert (is_app() && Z3_get_decl_num_parameters(ctx(), decl()) == 2); return static_cast<unsigned>(Z3_get_decl_int_parameter(ctx(), decl(), 0)); }
func_decl decl() const
Return the declaration associated with this application. This method assumes the expression is an app...
Definition: z3++.h:1137
unsigned Z3_API Z3_get_decl_num_parameters(Z3_context c, Z3_func_decl d)
Return the number of parameters associated with a declaration.
int Z3_API Z3_get_decl_int_parameter(Z3_context c, Z3_func_decl d, unsigned idx)
Return the integer value associated with an integer parameter.

Referenced by expr::extract(), and expr::loop().

◆ id()

unsigned id ( ) const
inline

retrieve unique identifier for expression.

Definition at line 1001 of file z3++.h.

1001 { unsigned r = Z3_get_ast_id(ctx(), m_ast); check_error(); return r; }
unsigned Z3_API Z3_get_ast_id(Z3_context c, Z3_ast t)
Return a unique identifier for t. The identifier is unique up to structural equality....

◆ is_algebraic()

bool is_algebraic ( ) const
inline

Return true if expression is an algebraic number.

Definition at line 873 of file z3++.h.

873 { return Z3_is_algebraic_number(ctx(), m_ast); }
bool Z3_API Z3_is_algebraic_number(Z3_context c, Z3_ast a)
Return true if the given AST is a real algebraic number.

Referenced by expr::algebraic_i(), expr::algebraic_lower(), expr::algebraic_poly(), expr::algebraic_upper(), and expr::get_decimal_string().

◆ is_and()

bool is_and ( ) const
inline

Definition at line 1241 of file z3++.h.

1241 { return is_app() && Z3_OP_AND == decl().decl_kind(); }
Z3_decl_kind decl_kind() const
Definition: z3++.h:721
@ Z3_OP_AND
Definition: z3_api.h:1010

◆ is_app()

bool is_app ( ) const
inline

Return true if this expression is an application.

Definition at line 843 of file z3++.h.

843 { return kind() == Z3_APP_AST || kind() == Z3_NUMERAL_AST; }
Z3_ast_kind kind() const
Definition: z3++.h:516
@ Z3_APP_AST
Definition: z3_api.h:183
@ Z3_NUMERAL_AST
Definition: z3_api.h:182

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().

◆ is_arith()

bool is_arith ( ) const
inline

Return true if this is an integer or real expression.

Definition at line 780 of file z3++.h.

780 { return get_sort().is_arith(); }
sort get_sort() const
Return the sort of this expression.
Definition: z3++.h:763
bool is_arith() const
Return true if this sort is the Integer or Real sort.
Definition: z3++.h:639

◆ is_array()

bool is_array ( ) const
inline

Return true if this is a Array expression.

Definition at line 788 of file z3++.h.

788 { return get_sort().is_array(); }
bool is_array() const
Return true if this sort is a Array sort.
Definition: z3++.h:647

Referenced by expr::operator[]().

◆ is_bool()

bool is_bool ( ) const
inline

Return true if this is a Boolean expression.

Definition at line 768 of file z3++.h.

768 { return get_sort().is_bool(); }
bool is_bool() const
Return true if this sort is the Boolean sort.
Definition: z3++.h:627

Referenced by solver::add(), optimize::add(), and optimize::add_soft().

◆ is_bv()

bool is_bv ( ) const
inline

Return true if this is a Bit-vector expression.

Definition at line 784 of file z3++.h.

784 { return get_sort().is_bv(); }
bool is_bv() const
Return true if this sort is a Bit-vector sort.
Definition: z3++.h:643

Referenced by expr::mk_from_ieee_bv().

◆ is_const()

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.

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

Referenced by solver::add().

◆ is_datatype()

bool is_datatype ( ) const
inline

Return true if this is a Datatype expression.

Definition at line 792 of file z3++.h.

792 { return get_sort().is_datatype(); }
bool is_datatype() const
Return true if this sort is a Datatype sort.
Definition: z3++.h:651

◆ is_digit()

expr is_digit ( ) const
inline

Definition at line 1484 of file z3++.h.

1484  {
1485  Z3_ast r = Z3_mk_char_is_digit(ctx(), *this);
1486  check_error();
1487  return expr(ctx(), r);
1488  }
Z3_ast Z3_API Z3_mk_char_is_digit(Z3_context c, Z3_ast ch)
Create a check if the character is a digit.

◆ is_distinct()

bool is_distinct ( ) const
inline

Definition at line 1247 of file z3++.h.

1247 { return is_app() && Z3_OP_DISTINCT == decl().decl_kind(); }
@ Z3_OP_DISTINCT
Definition: z3_api.h:1008

◆ is_eq()

bool is_eq ( ) const
inline

Definition at line 1245 of file z3++.h.

1245 { return is_app() && Z3_OP_EQ == decl().decl_kind(); }
@ Z3_OP_EQ
Definition: z3_api.h:1007

◆ is_exists()

bool is_exists ( ) const
inline

Return true if this expression is an existential quantifier.

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

860 { return Z3_is_quantifier_exists(ctx(), m_ast); }
bool Z3_API Z3_is_quantifier_exists(Z3_context c, Z3_ast a)
Determine if ast is an existential quantifier.

◆ is_false()

bool is_false ( ) const
inline

Definition at line 1239 of file z3++.h.

1239 { return is_app() && Z3_OP_FALSE == decl().decl_kind(); }
@ Z3_OP_FALSE
Definition: z3_api.h:1006

◆ is_finite_domain()

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.

814 { return get_sort().is_finite_domain(); }
bool is_finite_domain() const
Return true if this sort is a Finite domain sort.
Definition: z3++.h:667

◆ is_forall()

bool is_forall ( ) const
inline

Return true if this expression is a universal quantifier.

Definition at line 856 of file z3++.h.

856 { return Z3_is_quantifier_forall(ctx(), m_ast); }
bool Z3_API Z3_is_quantifier_forall(Z3_context c, Z3_ast a)
Determine if an ast is a universal quantifier.

◆ is_fpa()

bool is_fpa ( ) const
inline

Return true if this is a FloatingPoint expression. .

Definition at line 818 of file z3++.h.

818 { return get_sort().is_fpa(); }
bool is_fpa() const
Return true if this sort is a Floating point sort.
Definition: z3++.h:671

Referenced by 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!=(), and z3::operator==().

◆ is_implies()

bool is_implies ( ) const
inline

Definition at line 1244 of file z3++.h.

1244 { return is_app() && Z3_OP_IMPLIES == decl().decl_kind(); }
@ Z3_OP_IMPLIES
Definition: z3_api.h:1015

◆ is_int()

bool is_int ( ) const
inline

Return true if this is an integer expression.

Definition at line 772 of file z3++.h.

772 { return get_sort().is_int(); }
bool is_int() const
Return true if this sort is the Integer sort.
Definition: z3++.h:631

Referenced by IntNumRef::as_long(), and ArithSortRef::subsort().

◆ is_ite()

bool is_ite ( ) const
inline

Definition at line 1246 of file z3++.h.

1246 { return is_app() && Z3_OP_ITE == decl().decl_kind(); }
@ Z3_OP_ITE
Definition: z3_api.h:1009

◆ is_lambda()

bool is_lambda ( ) const
inline

Return true if this expression is a lambda expression.

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

864 { return Z3_is_lambda(ctx(), m_ast); }
bool Z3_API Z3_is_lambda(Z3_context c, Z3_ast a)
Determine if ast is a lambda expression.

Referenced by QuantifierRef::__getitem__(), and QuantifierRef::sort().

◆ is_not()

bool is_not ( ) const
inline

Definition at line 1240 of file z3++.h.

1240 { return is_app() && Z3_OP_NOT == decl().decl_kind(); }
@ Z3_OP_NOT
Definition: z3_api.h:1014

◆ is_numeral() [1/4]

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.

825 { return kind() == Z3_NUMERAL_AST; }

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().

◆ is_numeral() [2/4]

bool is_numeral ( double &  d) const
inline

Definition at line 832 of file z3++.h.

832 { if (!is_numeral()) return false; d = Z3_get_numeral_double(ctx(), m_ast); check_error(); return true; }
double Z3_API Z3_get_numeral_double(Z3_context c, Z3_ast a)
Return numeral as a double.

Referenced by expr::is_numeral().

◆ is_numeral() [3/4]

bool is_numeral ( std::string &  s) const
inline

Definition at line 830 of file z3++.h.

830 { if (!is_numeral()) return false; s = Z3_get_numeral_string(ctx(), m_ast); check_error(); return true; }
Z3_string Z3_API Z3_get_numeral_string(Z3_context c, Z3_ast a)
Return numeral value, as a decimal string of a numeric constant term.

Referenced by expr::is_numeral().

◆ is_numeral() [4/4]

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

Definition at line 831 of file z3++.h.

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

Referenced by expr::is_numeral().

◆ is_numeral_i()

bool is_numeral_i ( int &  i) const
inline

Definition at line 828 of file z3++.h.

828 { bool r = Z3_get_numeral_int(ctx(), m_ast, &i); check_error(); return r;}
bool Z3_API Z3_get_numeral_int(Z3_context c, Z3_ast v, int *i)
Similar to Z3_get_numeral_string, but only succeeds if the value can fit in a machine int....

Referenced by expr::get_numeral_int().

◆ is_numeral_i64()

bool is_numeral_i64 ( int64_t &  i) const
inline

Definition at line 826 of file z3++.h.

826 { bool r = Z3_get_numeral_int64(ctx(), m_ast, &i); check_error(); return r;}
bool Z3_API Z3_get_numeral_int64(Z3_context c, Z3_ast v, int64_t *i)
Similar to Z3_get_numeral_string, but only succeeds if the value can fit in a machine int64_t int....

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

◆ is_numeral_u()

bool is_numeral_u ( unsigned &  i) const
inline

Definition at line 829 of file z3++.h.

829 { bool r = Z3_get_numeral_uint(ctx(), m_ast, &i); check_error(); return r;}
bool Z3_API Z3_get_numeral_uint(Z3_context c, Z3_ast v, unsigned *u)
Similar to Z3_get_numeral_string, but only succeeds if the value can fit in a machine unsigned int....

Referenced by expr::get_numeral_uint().

◆ is_numeral_u64()

bool is_numeral_u64 ( uint64_t &  i) const
inline

Definition at line 827 of file z3++.h.

827 { bool r = Z3_get_numeral_uint64(ctx(), m_ast, &i); check_error(); return r;}
bool Z3_API Z3_get_numeral_uint64(Z3_context c, Z3_ast v, uint64_t *u)
Similar to Z3_get_numeral_string, but only succeeds if the value can fit in a machine uint64_t int....

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

◆ is_or()

bool is_or ( ) const
inline

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

1242 { return is_app() && Z3_OP_OR == decl().decl_kind(); }
@ Z3_OP_OR
Definition: z3_api.h:1011

◆ is_quantifier()

bool is_quantifier ( ) const
inline

Return true if this expression is a quantifier.

Definition at line 851 of file z3++.h.

851 { return kind() == Z3_QUANTIFIER_AST; }
@ Z3_QUANTIFIER_AST
Definition: z3_api.h:185

Referenced by expr::body().

◆ is_re()

bool is_re ( ) const
inline

Return true if this is a regular expression.

Definition at line 804 of file z3++.h.

804 { return get_sort().is_re(); }
bool is_re() const
Return true if this sort is a regular expression sort.
Definition: z3++.h:663

◆ is_real()

bool is_real ( ) const
inline

Return true if this is a real expression.

Definition at line 776 of file z3++.h.

776 { return get_sort().is_real(); }
bool is_real() const
Return true if this sort is the Real sort.
Definition: z3++.h:635

◆ is_relation()

bool is_relation ( ) const
inline

Return true if this is a Relation expression.

Definition at line 796 of file z3++.h.

796 { return get_sort().is_relation(); }
bool is_relation() const
Return true if this sort is a Relation sort.
Definition: z3++.h:655

◆ is_seq()

bool is_seq ( ) const
inline

Return true if this is a sequence expression.

Definition at line 800 of file z3++.h.

800 { return get_sort().is_seq(); }
bool is_seq() const
Return true if this sort is a Sequence sort.
Definition: z3++.h:659

Referenced by expr::operator[]().

◆ is_string_value()

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.

1101 { return Z3_is_string(ctx(), m_ast); }
bool Z3_API Z3_is_string(Z3_context c, Z3_ast s)
Determine if s is a string constant.

Referenced by SeqRef::as_string(), expr::get_string(), and expr::get_u32string().

◆ is_true()

bool is_true ( ) const
inline

Definition at line 1238 of file z3++.h.

1238 { return is_app() && Z3_OP_TRUE == decl().decl_kind(); }
@ Z3_OP_TRUE
Definition: z3_api.h:1005

◆ is_var()

bool is_var ( ) const
inline

Return true if this expression is a variable.

Definition at line 869 of file z3++.h.

869 { return kind() == Z3_VAR_AST; }
@ Z3_VAR_AST
Definition: z3_api.h:184

◆ is_well_sorted()

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.

878 { bool r = Z3_is_well_sorted(ctx(), m_ast); check_error(); return r; }
bool Z3_API Z3_is_well_sorted(Z3_context c, Z3_ast t)
Return true if the given expression t is well sorted.

◆ is_xor()

bool is_xor ( ) const
inline

Definition at line 1243 of file z3++.h.

1243 { return is_app() && Z3_OP_XOR == decl().decl_kind(); }
@ Z3_OP_XOR
Definition: z3_api.h:1013

◆ itos()

expr itos ( ) const
inline

Definition at line 1454 of file z3++.h.

1454  {
1455  Z3_ast r = Z3_mk_int_to_str(ctx(), *this);
1456  check_error();
1457  return expr(ctx(), r);
1458  }
Z3_ast Z3_API Z3_mk_int_to_str(Z3_context c, Z3_ast s)
Integer to string conversion.

◆ length()

expr length ( ) const
inline

Definition at line 1444 of file z3++.h.

1444  {
1445  Z3_ast r = Z3_mk_seq_length(ctx(), *this);
1446  check_error();
1447  return expr(ctx(), r);
1448  }
Z3_ast Z3_API Z3_mk_seq_length(Z3_context c, Z3_ast s)
Return the length of the sequence s.

Referenced by expr::extract().

◆ lo()

unsigned lo ( ) const
inline

Definition at line 1363 of file z3++.h.

1363 { assert (is_app() && Z3_get_decl_num_parameters(ctx(), decl()) == 2); return static_cast<unsigned>(Z3_get_decl_int_parameter(ctx(), decl(), 1)); }

Referenced by expr::extract(), and expr::loop().

◆ loop() [1/2]

expr loop ( unsigned  lo)
inline

create a looping regular expression.

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

1494  {
1495  Z3_ast r = Z3_mk_re_loop(ctx(), m_ast, lo, 0);
1496  check_error();
1497  return expr(ctx(), r);
1498  }
Z3_ast Z3_API Z3_mk_re_loop(Z3_context c, Z3_ast r, unsigned lo, unsigned hi)
Create a regular expression loop. The supplied regular expression r is repeated between lo and hi tim...

◆ loop() [2/2]

expr loop ( unsigned  lo,
unsigned  hi 
)
inline

Definition at line 1499 of file z3++.h.

1499  {
1500  Z3_ast r = Z3_mk_re_loop(ctx(), m_ast, lo, hi);
1501  check_error();
1502  return expr(ctx(), r);
1503  }

◆ mk_from_ieee_bv()

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.

943  {
944  assert(is_bv());
945  Z3_ast r = Z3_mk_fpa_to_fp_bv(ctx(), m_ast, s);
946  check_error();
947  return expr(ctx(), r);
948  }
bool is_bv() const
Return true if this is a Bit-vector expression.
Definition: z3++.h:784
Z3_ast Z3_API Z3_mk_fpa_to_fp_bv(Z3_context c, Z3_ast bv, Z3_sort s)
Conversion of a single IEEE 754-2008 bit-vector into a floating-point number.

◆ mk_is_inf()

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.

883  {
884  assert(is_fpa());
885  Z3_ast r = Z3_mk_fpa_is_infinite(ctx(), m_ast);
886  check_error();
887  return expr(ctx(), r);
888  }
bool is_fpa() const
Return true if this is a FloatingPoint expression. .
Definition: z3++.h:818
Z3_ast Z3_API Z3_mk_fpa_is_infinite(Z3_context c, Z3_ast t)
Predicate indicating whether t is a floating-point number representing +oo or -oo.

◆ mk_is_nan()

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.

893  {
894  assert(is_fpa());
895  Z3_ast r = Z3_mk_fpa_is_nan(ctx(), m_ast);
896  check_error();
897  return expr(ctx(), r);
898  }
Z3_ast Z3_API Z3_mk_fpa_is_nan(Z3_context c, Z3_ast t)
Predicate indicating whether t is a NaN.

◆ mk_is_normal()

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.

903  {
904  assert(is_fpa());
905  Z3_ast r = Z3_mk_fpa_is_normal(ctx(), m_ast);
906  check_error();
907  return expr(ctx(), r);
908  }
Z3_ast Z3_API Z3_mk_fpa_is_normal(Z3_context c, Z3_ast t)
Predicate indicating whether t is a normal floating-point number.

◆ mk_is_subnormal()

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.

913  {
914  assert(is_fpa());
915  Z3_ast r = Z3_mk_fpa_is_subnormal(ctx(), m_ast);
916  check_error();
917  return expr(ctx(), r);
918  }
Z3_ast Z3_API Z3_mk_fpa_is_subnormal(Z3_context c, Z3_ast t)
Predicate indicating whether t is a subnormal floating-point number.

◆ mk_is_zero()

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.

923  {
924  assert(is_fpa());
925  Z3_ast r = Z3_mk_fpa_is_zero(ctx(), m_ast);
926  check_error();
927  return expr(ctx(), r);
928  }
Z3_ast Z3_API Z3_mk_fpa_is_zero(Z3_context c, Z3_ast t)
Predicate indicating whether t is a floating-point number with zero value, i.e., +zero or -zero.

◆ mk_to_ieee_bv()

expr mk_to_ieee_bv ( ) const
inline

Convert this fpa into an IEEE BV.

Definition at line 933 of file z3++.h.

933  {
934  assert(is_fpa());
935  Z3_ast r = Z3_mk_fpa_to_ieee_bv(ctx(), m_ast);
936  check_error();
937  return expr(ctx(), r);
938  }
Z3_ast Z3_API Z3_mk_fpa_to_ieee_bv(Z3_context c, Z3_ast t)
Conversion of a floating-point term into a bit-vector term in IEEE 754-2008 format.

◆ nth()

expr nth ( expr const &  index) const
inline

Definition at line 1438 of file z3++.h.

1438  {
1439  check_context(*this, index);
1440  Z3_ast r = Z3_mk_seq_nth(ctx(), *this, index);
1441  check_error();
1442  return expr(ctx(), r);
1443  }
Z3_ast Z3_API Z3_mk_seq_nth(Z3_context c, Z3_ast s, Z3_ast index)
Retrieve from s the element positioned at position index. The function is under-specified if the inde...

Referenced by expr::operator[]().

◆ num_args()

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.

1144 { unsigned r = Z3_get_app_num_args(ctx(), *this); check_error(); return r; }
unsigned Z3_API Z3_get_app_num_args(Z3_context c, Z3_app a)
Return the number of argument of an application. If t is an constant, then the number of arguments is...

Referenced by AstRef::__bool__(), ExprRef::arg(), FuncEntry::arg_value(), expr::args(), FuncEntry::as_list(), ExprRef::children(), expr::end(), and expr::is_const().

◆ numerator()

expr numerator ( ) const
inline

Definition at line 1081 of file z3++.h.

1081  {
1082  assert(is_numeral());
1083  Z3_ast r = Z3_get_numerator(ctx(), m_ast);
1084  check_error();
1085  return expr(ctx(),r);
1086  }
Z3_ast Z3_API Z3_get_numerator(Z3_context c, Z3_ast a)
Return the numerator (as a numeral AST) of a numeral AST of sort Real.

Referenced by RatNumRef::numerator_as_long().

◆ operator Z3_app()

operator Z3_app ( ) const
inline

Definition at line 1129 of file z3++.h.

1129 { assert(is_app()); return reinterpret_cast<Z3_app>(m_ast); }

◆ operator[]() [1/2]

expr operator[] ( expr const &  index) const
inline

index operator defined on arrays and sequences.

Definition at line 1508 of file z3++.h.

1508  {
1509  assert(is_array() || is_seq());
1510  if (is_array()) {
1511  return select(*this, index);
1512  }
1513  return nth(index);
1514  }
bool is_array() const
Return true if this is a Array expression.
Definition: z3++.h:788
expr nth(expr const &index) const
Definition: z3++.h:1438
bool is_seq() const
Return true if this is a sequence expression.
Definition: z3++.h:800
expr select(expr const &a, expr const &i)
forward declarations
Definition: z3++.h:3642

◆ operator[]() [2/2]

expr operator[] ( expr_vector const &  index) const
inline

Definition at line 1516 of file z3++.h.

1516  {
1517  return select(*this, index);
1518  }

◆ repeat()

expr repeat ( unsigned  i) const
inline

Definition at line 1351 of file z3++.h.

1351 { Z3_ast r = Z3_mk_repeat(ctx(), i, *this); ctx().check_error(); return expr(ctx(), r); }
Z3_ast Z3_API Z3_mk_repeat(Z3_context c, unsigned i, Z3_ast t1)
Repeat the given bit-vector up length i.

◆ replace()

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

Definition at line 1415 of file z3++.h.

1415  {
1416  check_context(*this, src); check_context(src, dst);
1417  Z3_ast r = Z3_mk_seq_replace(ctx(), *this, src, dst);
1418  check_error();
1419  return expr(ctx(), r);
1420  }
Z3_ast Z3_API Z3_mk_seq_replace(Z3_context c, Z3_ast s, Z3_ast src, Z3_ast dst)
Replace the first occurrence of src with dst in s.

◆ rotate_left()

expr rotate_left ( unsigned  i) const
inline

Definition at line 1349 of file z3++.h.

1349 { Z3_ast r = Z3_mk_rotate_left(ctx(), i, *this); ctx().check_error(); return expr(ctx(), r); }
Z3_ast Z3_API Z3_mk_rotate_left(Z3_context c, unsigned i, Z3_ast t1)
Rotate bits of t1 to the left i times.

◆ rotate_right()

expr rotate_right ( unsigned  i) const
inline

Definition at line 1350 of file z3++.h.

1350 { Z3_ast r = Z3_mk_rotate_right(ctx(), i, *this); ctx().check_error(); return expr(ctx(), r); }
Z3_ast Z3_API Z3_mk_rotate_right(Z3_context c, unsigned i, Z3_ast t1)
Rotate bits of t1 to the right i times.

◆ sbvtos()

expr sbvtos ( ) const
inline

Definition at line 1464 of file z3++.h.

1464  {
1465  Z3_ast r = Z3_mk_sbv_to_str(ctx(), *this);
1466  check_error();
1467  return expr(ctx(), r);
1468  }
Z3_ast Z3_API Z3_mk_sbv_to_str(Z3_context c, Z3_ast s)
Signed bit-vector to string conversion.

◆ simplify() [1/2]

expr simplify ( ) const
inline

Return a simplified version of this expression.

Definition at line 1523 of file z3++.h.

1523 { Z3_ast r = Z3_simplify(ctx(), m_ast); check_error(); return expr(ctx(), r); }
Z3_ast Z3_API Z3_simplify(Z3_context c, Z3_ast a)
Interface to simplifier.

◆ simplify() [2/2]

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 1527 of file z3++.h.

1527 { Z3_ast r = Z3_simplify_ex(ctx(), m_ast, p); check_error(); return expr(ctx(), r); }
Z3_ast Z3_API Z3_simplify_ex(Z3_context c, Z3_ast a, Z3_params p)
Interface to simplifier.

◆ stoi()

expr stoi ( ) const
inline

Definition at line 1449 of file z3++.h.

1449  {
1450  Z3_ast r = Z3_mk_str_to_int(ctx(), *this);
1451  check_error();
1452  return expr(ctx(), r);
1453  }
Z3_ast Z3_API Z3_mk_str_to_int(Z3_context c, Z3_ast s)
Convert string to integer.

◆ substitute() [1/2]

expr substitute ( expr_vector const &  dst)
inline

Apply substitution. Replace bound variables by expressions.

Definition at line 3930 of file z3++.h.

3930  {
3931  array<Z3_ast> _dst(dst.size());
3932  for (unsigned i = 0; i < dst.size(); ++i) {
3933  _dst[i] = dst[i];
3934  }
3935  Z3_ast r = Z3_substitute_vars(ctx(), m_ast, dst.size(), _dst.ptr());
3936  check_error();
3937  return expr(ctx(), r);
3938  }
Z3_ast Z3_API Z3_substitute_vars(Z3_context c, Z3_ast a, unsigned num_exprs, Z3_ast const to[])
Substitute the free variables in a with the expressions in to. For every i smaller than num_exprs,...

◆ substitute() [2/2]

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

Apply substitution. Replace src expressions by dst.

Definition at line 3917 of file z3++.h.

3917  {
3918  assert(src.size() == dst.size());
3919  array<Z3_ast> _src(src.size());
3920  array<Z3_ast> _dst(dst.size());
3921  for (unsigned i = 0; i < src.size(); ++i) {
3922  _src[i] = src[i];
3923  _dst[i] = dst[i];
3924  }
3925  Z3_ast r = Z3_substitute(ctx(), m_ast, src.size(), _src.ptr(), _dst.ptr());
3926  check_error();
3927  return expr(ctx(), r);
3928  }
Z3_ast Z3_API Z3_substitute(Z3_context c, Z3_ast a, unsigned num_exprs, Z3_ast const from[], Z3_ast const to[])
Substitute every occurrence of from[i] in a with to[i], for i smaller than num_exprs....

◆ ubvtos()

expr ubvtos ( ) const
inline

Definition at line 1459 of file z3++.h.

1459  {
1460  Z3_ast r = Z3_mk_ubv_to_str(ctx(), *this);
1461  check_error();
1462  return expr(ctx(), r);
1463  }
Z3_ast Z3_API Z3_mk_ubv_to_str(Z3_context c, Z3_ast s)
Unsigned bit-vector to string conversion.

◆ unit()

expr unit ( ) const
inline

Definition at line 1421 of file z3++.h.

1421  {
1422  Z3_ast r = Z3_mk_seq_unit(ctx(), *this);
1423  check_error();
1424  return expr(ctx(), r);
1425  }
Z3_ast Z3_API Z3_mk_seq_unit(Z3_context c, Z3_ast a)
Create a unit sequence of a.

Friends And Related Function Documentation

◆ abs

expr abs ( expr const &  a)
friend

Definition at line 1932 of file z3++.h.

1932  {
1933  Z3_ast r;
1934  if (a.is_int()) {
1935  expr zero = a.ctx().int_val(0);
1936  expr ge = a >= zero;
1937  expr na = -a;
1938  r = Z3_mk_ite(a.ctx(), ge, a, na);
1939  }
1940  else if (a.is_real()) {
1941  expr zero = a.ctx().real_val(0);
1942  expr ge = a >= zero;
1943  expr na = -a;
1944  r = Z3_mk_ite(a.ctx(), ge, a, na);
1945  }
1946  else {
1947  r = Z3_mk_fpa_abs(a.ctx(), a);
1948  }
1949  a.check_error();
1950  return expr(a.ctx(), r);
1951  }
Z3_ast Z3_API Z3_mk_ite(Z3_context c, Z3_ast t1, Z3_ast t2, Z3_ast t3)
Create an AST node representing an if-then-else: ite(t1, t2, t3).
Z3_ast Z3_API Z3_mk_fpa_abs(Z3_context c, Z3_ast t)
Floating-point absolute value.

◆ atleast

expr atleast ( expr_vector const &  es,
unsigned  bound 
)
friend

Definition at line 2367 of file z3++.h.

2367  {
2368  assert(es.size() > 0);
2369  context& ctx = es[0u].ctx();
2370  array<Z3_ast> _es(es);
2371  Z3_ast r = Z3_mk_atleast(ctx, _es.size(), _es.ptr(), bound);
2372  ctx.check_error();
2373  return expr(ctx, r);
2374  }
Z3_ast Z3_API Z3_mk_atleast(Z3_context c, unsigned num_args, Z3_ast const args[], unsigned k)
Pseudo-Boolean relations.

◆ atmost

expr atmost ( expr_vector const &  es,
unsigned  bound 
)
friend

Definition at line 2359 of file z3++.h.

2359  {
2360  assert(es.size() > 0);
2361  context& ctx = es[0u].ctx();
2362  array<Z3_ast> _es(es);
2363  Z3_ast r = Z3_mk_atmost(ctx, _es.size(), _es.ptr(), bound);
2364  ctx.check_error();
2365  return expr(ctx, r);
2366  }
Z3_ast Z3_API Z3_mk_atmost(Z3_context c, unsigned num_args, Z3_ast const args[], unsigned k)
Pseudo-Boolean relations.

◆ bv2int

expr bv2int ( expr const &  a,
bool  is_signed 
)
friend

bit-vector and integer conversions.

Definition at line 2170 of file z3++.h.

2170 { Z3_ast r = Z3_mk_bv2int(a.ctx(), a, is_signed); a.check_error(); return expr(a.ctx(), r); }
Z3_ast Z3_API Z3_mk_bv2int(Z3_context c, Z3_ast t1, bool is_signed)
Create an integer from the bit-vector argument t1. If is_signed is false, then the bit-vector t1 is t...

◆ bvadd_no_overflow

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

bit-vector overflow/underflow checks

Definition at line 2176 of file z3++.h.

2176  {
2177  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);
2178  }
Z3_ast Z3_API Z3_mk_bvadd_no_overflow(Z3_context c, Z3_ast t1, Z3_ast t2, bool is_signed)
Create a predicate that checks that the bit-wise addition of t1 and t2 does not overflow.

◆ bvadd_no_underflow

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

Definition at line 2179 of file z3++.h.

2179  {
2180  check_context(a, b); Z3_ast r = Z3_mk_bvadd_no_underflow(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r);
2181  }
Z3_ast Z3_API Z3_mk_bvadd_no_underflow(Z3_context c, Z3_ast t1, Z3_ast t2)
Create a predicate that checks that the bit-wise signed addition of t1 and t2 does not underflow.

◆ bvmul_no_overflow

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

Definition at line 2194 of file z3++.h.

2194  {
2195  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);
2196  }
Z3_ast Z3_API Z3_mk_bvmul_no_overflow(Z3_context c, Z3_ast t1, Z3_ast t2, bool is_signed)
Create a predicate that checks that the bit-wise multiplication of t1 and t2 does not overflow.

◆ bvmul_no_underflow

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

Definition at line 2197 of file z3++.h.

2197  {
2198  check_context(a, b); Z3_ast r = Z3_mk_bvmul_no_underflow(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r);
2199  }
Z3_ast Z3_API Z3_mk_bvmul_no_underflow(Z3_context c, Z3_ast t1, Z3_ast t2)
Create a predicate that checks that the bit-wise signed multiplication of t1 and t2 does not underflo...

◆ bvneg_no_overflow

expr bvneg_no_overflow ( expr const &  a)
friend

Definition at line 2191 of file z3++.h.

2191  {
2192  Z3_ast r = Z3_mk_bvneg_no_overflow(a.ctx(), a); a.check_error(); return expr(a.ctx(), r);
2193  }
Z3_ast Z3_API Z3_mk_bvneg_no_overflow(Z3_context c, Z3_ast t1)
Check that bit-wise negation does not overflow when t1 is interpreted as a signed bit-vector.

◆ bvredand

expr bvredand ( expr const &  a)
friend

Definition at line 1926 of file z3++.h.

1926  {
1927  assert(a.is_bv());
1928  Z3_ast r = Z3_mk_bvredand(a.ctx(), a);
1929  a.check_error();
1930  return expr(a.ctx(), r);
1931  }
Z3_ast Z3_API Z3_mk_bvredand(Z3_context c, Z3_ast t1)
Take conjunction of bits in vector, return vector of length 1.

◆ bvredor

expr bvredor ( expr const &  a)
friend

Definition at line 1920 of file z3++.h.

1920  {
1921  assert(a.is_bv());
1922  Z3_ast r = Z3_mk_bvredor(a.ctx(), a);
1923  a.check_error();
1924  return expr(a.ctx(), r);
1925  }
Z3_ast Z3_API Z3_mk_bvredor(Z3_context c, Z3_ast t1)
Take disjunction of bits in vector, return vector of length 1.

◆ bvsdiv_no_overflow

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

Definition at line 2188 of file z3++.h.

2188  {
2189  check_context(a, b); Z3_ast r = Z3_mk_bvsdiv_no_overflow(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r);
2190  }
Z3_ast Z3_API Z3_mk_bvsdiv_no_overflow(Z3_context c, Z3_ast t1, Z3_ast t2)
Create a predicate that checks that the bit-wise signed division of t1 and t2 does not overflow.

◆ bvsub_no_overflow

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

Definition at line 2182 of file z3++.h.

2182  {
2183  check_context(a, b); Z3_ast r = Z3_mk_bvsub_no_overflow(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r);
2184  }
Z3_ast Z3_API Z3_mk_bvsub_no_overflow(Z3_context c, Z3_ast t1, Z3_ast t2)
Create a predicate that checks that the bit-wise signed subtraction of t1 and t2 does not overflow.

◆ bvsub_no_underflow

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

Definition at line 2185 of file z3++.h.

2185  {
2186  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);
2187  }
Z3_ast Z3_API Z3_mk_bvsub_no_underflow(Z3_context c, Z3_ast t1, Z3_ast t2, bool is_signed)
Create a predicate that checks that the bit-wise subtraction of t1 and t2 does not underflow.

◆ concat [1/2]

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

Definition at line 2393 of file z3++.h.

2393  {
2394  check_context(a, b);
2395  Z3_ast r;
2396  if (Z3_is_seq_sort(a.ctx(), a.get_sort())) {
2397  Z3_ast _args[2] = { a, b };
2398  r = Z3_mk_seq_concat(a.ctx(), 2, _args);
2399  }
2400  else if (Z3_is_re_sort(a.ctx(), a.get_sort())) {
2401  Z3_ast _args[2] = { a, b };
2402  r = Z3_mk_re_concat(a.ctx(), 2, _args);
2403  }
2404  else {
2405  r = Z3_mk_concat(a.ctx(), a, b);
2406  }
2407  a.ctx().check_error();
2408  return expr(a.ctx(), r);
2409  }
bool Z3_API Z3_is_seq_sort(Z3_context c, Z3_sort s)
Check if s is a sequence sort.
Z3_ast Z3_API Z3_mk_seq_concat(Z3_context c, unsigned n, Z3_ast const args[])
Concatenate sequences.
Z3_ast Z3_API Z3_mk_re_concat(Z3_context c, unsigned n, Z3_ast const args[])
Create the concatenation of the regular languages.
Z3_ast Z3_API Z3_mk_concat(Z3_context c, Z3_ast t1, Z3_ast t2)
Concatenate the given bit-vectors.
bool Z3_API Z3_is_re_sort(Z3_context c, Z3_sort s)
Check if s is a regular expression sort.

◆ concat [2/2]

expr concat ( expr_vector const &  args)
friend

Definition at line 2411 of file z3++.h.

2411  {
2412  Z3_ast r;
2413  assert(args.size() > 0);
2414  if (args.size() == 1) {
2415  return args[0u];
2416  }
2417  context& ctx = args[0u].ctx();
2418  array<Z3_ast> _args(args);
2419  if (Z3_is_seq_sort(ctx, args[0u].get_sort())) {
2420  r = Z3_mk_seq_concat(ctx, _args.size(), _args.ptr());
2421  }
2422  else if (Z3_is_re_sort(ctx, args[0u].get_sort())) {
2423  r = Z3_mk_re_concat(ctx, _args.size(), _args.ptr());
2424  }
2425  else {
2426  r = _args[args.size()-1];
2427  for (unsigned i = args.size()-1; i > 0; ) {
2428  --i;
2429  r = Z3_mk_concat(ctx, _args[i], r);
2430  ctx.check_error();
2431  }
2432  }
2433  ctx.check_error();
2434  return expr(ctx, r);
2435  }
unsigned size() const
Definition: z3++.h:545
expr_vector args() const
Return a vector of all the arguments of this application. This method assumes the expression is an ap...
Definition: z3++.h:1159

◆ distinct

expr distinct ( expr_vector const &  args)
friend

Definition at line 2384 of file z3++.h.

2384  {
2385  assert(args.size() > 0);
2386  context& ctx = args[0u].ctx();
2387  array<Z3_ast> _args(args);
2388  Z3_ast r = Z3_mk_distinct(ctx, _args.size(), _args.ptr());
2389  ctx.check_error();
2390  return expr(ctx, r);
2391  }
Z3_ast Z3_API Z3_mk_distinct(Z3_context c, unsigned num_args, Z3_ast const args[])
Create an AST node representing distinct(args[0], ..., args[num_args-1]).

◆ fma

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

FloatingPoint fused multiply-add.

Definition at line 1968 of file z3++.h.

1968  {
1969  check_context(a, b); check_context(a, c); check_context(a, rm);
1970  assert(a.is_fpa() && b.is_fpa() && c.is_fpa());
1971  Z3_ast r = Z3_mk_fpa_fma(a.ctx(), rm, a, b, c);
1972  a.check_error();
1973  return expr(a.ctx(), r);
1974  }
Z3_ast Z3_API Z3_mk_fpa_fma(Z3_context c, Z3_ast rm, Z3_ast t1, Z3_ast t2, Z3_ast t3)
Floating-point fused multiply-add.

◆ fp_eq

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

Definition at line 1959 of file z3++.h.

1959  {
1960  check_context(a, b);
1961  assert(a.is_fpa());
1962  Z3_ast r = Z3_mk_fpa_eq(a.ctx(), a, b);
1963  a.check_error();
1964  return expr(a.ctx(), r);
1965  }
Z3_ast Z3_API Z3_mk_fpa_eq(Z3_context c, Z3_ast t1, Z3_ast t2)
Floating-point equality.

◆ fpa_fp

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 1976 of file z3++.h.

1976  {
1977  check_context(sgn, exp); check_context(exp, sig);
1978  assert(sgn.is_bv() && exp.is_bv() && sig.is_bv());
1979  Z3_ast r = Z3_mk_fpa_fp(sgn.ctx(), sgn, exp, sig);
1980  sgn.check_error();
1981  return expr(sgn.ctx(), r);
1982  }
Z3_ast Z3_API Z3_mk_fpa_fp(Z3_context c, Z3_ast sgn, Z3_ast exp, Z3_ast sig)
Create an expression of FloatingPoint sort from three bit-vector expressions.

◆ fpa_to_fpa

expr fpa_to_fpa ( expr const &  t,
sort  s 
)
friend

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

Definition at line 2012 of file z3++.h.

2012  {
2013  assert(t.is_fpa());
2014  Z3_ast r = Z3_mk_fpa_to_fp_float(t.ctx(), t.ctx().fpa_rounding_mode(), t, s);
2015  t.check_error();
2016  return expr(t.ctx(), r);
2017  }
Z3_ast Z3_API Z3_mk_fpa_to_fp_float(Z3_context c, Z3_ast rm, Z3_ast t, Z3_sort s)
Conversion of a FloatingPoint term into another term of different FloatingPoint sort.

◆ fpa_to_sbv

expr fpa_to_sbv ( expr const &  t,
unsigned  sz 
)
friend

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

Definition at line 1984 of file z3++.h.

1984  {
1985  assert(t.is_fpa());
1986  Z3_ast r = Z3_mk_fpa_to_sbv(t.ctx(), t.ctx().fpa_rounding_mode(), t, sz);
1987  t.check_error();
1988  return expr(t.ctx(), r);
1989  }
Z3_ast Z3_API Z3_mk_fpa_to_sbv(Z3_context c, Z3_ast rm, Z3_ast t, unsigned sz)
Conversion of a floating-point term into a signed bit-vector.

◆ fpa_to_ubv

expr fpa_to_ubv ( expr const &  t,
unsigned  sz 
)
friend

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

Definition at line 1991 of file z3++.h.

1991  {
1992  assert(t.is_fpa());
1993  Z3_ast r = Z3_mk_fpa_to_ubv(t.ctx(), t.ctx().fpa_rounding_mode(), t, sz);
1994  t.check_error();
1995  return expr(t.ctx(), r);
1996  }
Z3_ast Z3_API Z3_mk_fpa_to_ubv(Z3_context c, Z3_ast rm, Z3_ast t, unsigned sz)
Conversion of a floating-point term into an unsigned bit-vector.

◆ implies [1/3]

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

Definition at line 1573 of file z3++.h.

1573 { return implies(b.ctx().bool_val(a), b); }
friend expr implies(expr const &a, expr const &b)
Definition: z3++.h:1568

◆ implies [2/3]

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

Definition at line 1572 of file z3++.h.

1572 { return implies(a, a.ctx().bool_val(b)); }

◆ implies [3/3]

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

Definition at line 1568 of file z3++.h.

1568  {
1569  assert(a.is_bool() && b.is_bool());
1570  _Z3_MK_BIN_(a, b, Z3_mk_implies);
1571  }
Z3_ast Z3_API Z3_mk_implies(Z3_context c, Z3_ast t1, Z3_ast t2)
Create an AST node representing t1 implies t2.
#define _Z3_MK_BIN_(a, b, binop)
Definition: z3++.h:1561

◆ int2bv

expr int2bv ( unsigned  n,
expr const &  a 
)
friend

Definition at line 2171 of file z3++.h.

2171 { Z3_ast r = Z3_mk_int2bv(a.ctx(), n, a); a.check_error(); return expr(a.ctx(), r); }
Z3_ast Z3_API Z3_mk_int2bv(Z3_context c, unsigned n, Z3_ast t1)
Create an n bit bit-vector from the integer argument t1.

◆ is_int

expr is_int ( expr const &  e)
friend

Definition at line 1616 of file z3++.h.

1616 { _Z3_MK_UN_(e, Z3_mk_is_int); }
Z3_ast Z3_API Z3_mk_is_int(Z3_context c, Z3_ast t1)
Check if a real number is an integer.
#define _Z3_MK_UN_(a, mkun)
Definition: z3++.h:1608

Referenced by IntNumRef::as_long(), and ArithSortRef::subsort().

◆ ite

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 2031 of file z3++.h.

2031  {
2032  check_context(c, t); check_context(c, e);
2033  assert(c.is_bool());
2034  Z3_ast r = Z3_mk_ite(c.ctx(), c, t, e);
2035  c.check_error();
2036  return expr(c.ctx(), r);
2037  }

◆ max

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

Definition at line 1905 of file z3++.h.

1905  {
1906  check_context(a, b);
1907  Z3_ast r;
1908  if (a.is_arith()) {
1909  r = Z3_mk_ite(a.ctx(), Z3_mk_ge(a.ctx(), a, b), a, b);
1910  }
1911  else if (a.is_bv()) {
1912  r = Z3_mk_ite(a.ctx(), Z3_mk_bvuge(a.ctx(), a, b), a, b);
1913  }
1914  else {
1915  assert(a.is_fpa());
1916  r = Z3_mk_fpa_max(a.ctx(), a, b);
1917  }
1918  return expr(a.ctx(), r);
1919  }
Z3_ast Z3_API Z3_mk_ge(Z3_context c, Z3_ast t1, Z3_ast t2)
Create greater than or equal to.
Z3_ast Z3_API Z3_mk_fpa_max(Z3_context c, Z3_ast t1, Z3_ast t2)
Maximum of floating-point numbers.
Z3_ast Z3_API Z3_mk_bvuge(Z3_context c, Z3_ast t1, Z3_ast t2)
Unsigned greater than or equal to.

◆ min

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

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

1890  {
1891  check_context(a, b);
1892  Z3_ast r;
1893  if (a.is_arith()) {
1894  r = Z3_mk_ite(a.ctx(), Z3_mk_ge(a.ctx(), a, b), b, a);
1895  }
1896  else if (a.is_bv()) {
1897  r = Z3_mk_ite(a.ctx(), Z3_mk_bvuge(a.ctx(), a, b), b, a);
1898  }
1899  else {
1900  assert(a.is_fpa());
1901  r = Z3_mk_fpa_min(a.ctx(), a, b);
1902  }
1903  return expr(a.ctx(), r);
1904  }
Z3_ast Z3_API Z3_mk_fpa_min(Z3_context c, Z3_ast t1, Z3_ast t2)
Minimum of floating-point numbers.

◆ mk_and

expr mk_and ( expr_vector const &  args)
friend

Definition at line 2443 of file z3++.h.

2443  {
2444  array<Z3_ast> _args(args);
2445  Z3_ast r = Z3_mk_and(args.ctx(), _args.size(), _args.ptr());
2446  args.check_error();
2447  return expr(args.ctx(), r);
2448  }
Z3_ast Z3_API Z3_mk_and(Z3_context c, unsigned num_args, Z3_ast const args[])
Create an AST node representing args[0] and ... and args[num_args-1].

◆ mk_or

expr mk_or ( expr_vector const &  args)
friend

Definition at line 2437 of file z3++.h.

2437  {
2438  array<Z3_ast> _args(args);
2439  Z3_ast r = Z3_mk_or(args.ctx(), _args.size(), _args.ptr());
2440  args.check_error();
2441  return expr(args.ctx(), r);
2442  }
Z3_ast Z3_API Z3_mk_or(Z3_context c, unsigned num_args, Z3_ast const args[])
Create an AST node representing args[0] or ... or args[num_args-1].

◆ mk_xor

expr mk_xor ( expr_vector const &  args)
friend

Definition at line 2449 of file z3++.h.

2449  {
2450  if (args.empty())
2451  return args.ctx().bool_val(false);
2452  expr r = args[0u];
2453  for (unsigned i = 1; i < args.size(); ++i)
2454  r = r ^ args[i];
2455  return r;
2456  }
bool empty() const
Definition: z3++.h:551
expr bool_val(bool b)
Definition: z3++.h:3479

◆ mod [1/3]

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

Definition at line 1580 of file z3++.h.

1580  {
1581  if (a.is_bv()) {
1582  _Z3_MK_BIN_(a, b, Z3_mk_bvsmod);
1583  }
1584  else {
1585  _Z3_MK_BIN_(a, b, Z3_mk_mod);
1586  }
1587  }
Z3_ast Z3_API Z3_mk_mod(Z3_context c, Z3_ast arg1, Z3_ast arg2)
Create an AST node representing arg1 mod arg2.
Z3_ast Z3_API Z3_mk_bvsmod(Z3_context c, Z3_ast t1, Z3_ast t2)
Two's complement signed remainder (sign follows divisor).

◆ mod [2/3]

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

Definition at line 1588 of file z3++.h.

1588 { return mod(a, a.ctx().num_val(b, a.get_sort())); }
friend expr mod(expr const &a, expr const &b)
Definition: z3++.h:1580

◆ mod [3/3]

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

Definition at line 1589 of file z3++.h.

1589 { return mod(b.ctx().num_val(a, b.get_sort()), b); }

◆ nand

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

Definition at line 1887 of file z3++.h.

1887 { 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); }
Z3_ast Z3_API Z3_mk_bvnand(Z3_context c, Z3_ast t1, Z3_ast t2)
Bitwise nand.

◆ nor

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

Definition at line 1888 of file z3++.h.

1888 { 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); }
Z3_ast Z3_API Z3_mk_bvnor(Z3_context c, Z3_ast t1, Z3_ast t2)
Bitwise nor.

◆ operator!

expr operator! ( expr const &  a)
friend

Return an expression representing not(a).

Precondition
a.is_bool()

Definition at line 1614 of file z3++.h.

1614 { assert(a.is_bool()); _Z3_MK_UN_(a, Z3_mk_not); }
Z3_ast Z3_API Z3_mk_not(Z3_context c, Z3_ast a)
Create an AST node representing not(a).

◆ operator!= [1/3]

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

Definition at line 1656 of file z3++.h.

1656  {
1657  check_context(a, b);
1658  Z3_ast args[2] = { a, b };
1659  Z3_ast r = Z3_mk_distinct(a.ctx(), 2, args);
1660  a.check_error();
1661  return expr(a.ctx(), r);
1662  }

◆ operator!= [2/3]

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

Definition at line 1663 of file z3++.h.

1663 { assert(a.is_arith() || a.is_bv() || a.is_fpa()); return a != a.ctx().num_val(b, a.get_sort()); }

◆ operator!= [3/3]

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

Definition at line 1664 of file z3++.h.

1664 { assert(b.is_arith() || b.is_bv() || b.is_fpa()); return b.ctx().num_val(a, b.get_sort()) != b; }

◆ operator& [1/3]

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

Definition at line 1875 of file z3++.h.

1875 { 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); }
Z3_ast Z3_API Z3_mk_bvand(Z3_context c, Z3_ast t1, Z3_ast t2)
Bitwise and.

◆ operator& [2/3]

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

Definition at line 1876 of file z3++.h.

1876 { return a & a.ctx().num_val(b, a.get_sort()); }

◆ operator& [3/3]

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

Definition at line 1877 of file z3++.h.

1877 { return b.ctx().num_val(a, b.get_sort()) & b; }

◆ operator&& [1/3]

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 1630 of file z3++.h.

1630 { return b.ctx().bool_val(a) && b; }

◆ operator&& [2/3]

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 1629 of file z3++.h.

1629 { return a && a.ctx().bool_val(b); }

◆ operator&& [3/3]

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 1620 of file z3++.h.

1620  {
1621  check_context(a, b);
1622  assert(a.is_bool() && b.is_bool());
1623  Z3_ast args[2] = { a, b };
1624  Z3_ast r = Z3_mk_and(a.ctx(), 2, args);
1625  a.check_error();
1626  return expr(a.ctx(), r);
1627  }

◆ operator* [1/3]

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

Definition at line 1698 of file z3++.h.

1698  {
1699  check_context(a, b);
1700  Z3_ast r = 0;
1701  if (a.is_arith() && b.is_arith()) {
1702  Z3_ast args[2] = { a, b };
1703  r = Z3_mk_mul(a.ctx(), 2, args);
1704  }
1705  else if (a.is_bv() && b.is_bv()) {
1706  r = Z3_mk_bvmul(a.ctx(), a, b);
1707  }
1708  else if (a.is_fpa() && b.is_fpa()) {
1709  r = Z3_mk_fpa_mul(a.ctx(), a.ctx().fpa_rounding_mode(), a, b);
1710  }
1711  else {
1712  // operator is not supported by given arguments.
1713  assert(false);
1714  }
1715  a.check_error();
1716  return expr(a.ctx(), r);
1717  }
Z3_ast Z3_API Z3_mk_mul(Z3_context c, unsigned num_args, Z3_ast const args[])
Create an AST node representing args[0] * ... * args[num_args-1].
Z3_ast Z3_API Z3_mk_bvmul(Z3_context c, Z3_ast t1, Z3_ast t2)
Standard two's complement multiplication.
Z3_ast Z3_API Z3_mk_fpa_mul(Z3_context c, Z3_ast rm, Z3_ast t1, Z3_ast t2)
Floating-point multiplication.

◆ operator* [2/3]

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

Definition at line 1718 of file z3++.h.

1718 { return a * a.ctx().num_val(b, a.get_sort()); }

◆ operator* [3/3]

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

Definition at line 1719 of file z3++.h.

1719 { return b.ctx().num_val(a, b.get_sort()) * b; }

◆ operator+ [1/3]

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

Definition at line 1668 of file z3++.h.

1668  {
1669  check_context(a, b);
1670  Z3_ast r = 0;
1671  if (a.is_arith() && b.is_arith()) {
1672  Z3_ast args[2] = { a, b };
1673  r = Z3_mk_add(a.ctx(), 2, args);
1674  }
1675  else if (a.is_bv() && b.is_bv()) {
1676  r = Z3_mk_bvadd(a.ctx(), a, b);
1677  }
1678  else if (a.is_seq() && b.is_seq()) {
1679  return concat(a, b);
1680  }
1681  else if (a.is_re() && b.is_re()) {
1682  Z3_ast _args[2] = { a, b };
1683  r = Z3_mk_re_union(a.ctx(), 2, _args);
1684  }
1685  else if (a.is_fpa() && b.is_fpa()) {
1686  r = Z3_mk_fpa_add(a.ctx(), a.ctx().fpa_rounding_mode(), a, b);
1687  }
1688  else {
1689  // operator is not supported by given arguments.
1690  assert(false);
1691  }
1692  a.check_error();
1693  return expr(a.ctx(), r);
1694  }
friend expr concat(expr const &a, expr const &b)
Definition: z3++.h:2393
Z3_ast Z3_API Z3_mk_re_union(Z3_context c, unsigned n, Z3_ast const args[])
Create the union of the regular languages.
Z3_ast Z3_API Z3_mk_bvadd(Z3_context c, Z3_ast t1, Z3_ast t2)
Standard two's complement addition.
Z3_ast Z3_API Z3_mk_fpa_add(Z3_context c, Z3_ast rm, Z3_ast t1, Z3_ast t2)
Floating-point addition.
Z3_ast Z3_API Z3_mk_add(Z3_context c, unsigned num_args, Z3_ast const args[])
Create an AST node representing args[0] + ... + args[num_args-1].

◆ operator+ [2/3]

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

Definition at line 1695 of file z3++.h.

1695 { return a + a.ctx().num_val(b, a.get_sort()); }

◆ operator+ [3/3]

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

Definition at line 1696 of file z3++.h.

1696 { return b.ctx().num_val(a, b.get_sort()) + b; }

◆ operator- [1/4]

expr operator- ( expr const &  a)
friend

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

1764  {
1765  Z3_ast r = 0;
1766  if (a.is_arith()) {
1767  r = Z3_mk_unary_minus(a.ctx(), a);
1768  }
1769  else if (a.is_bv()) {
1770  r = Z3_mk_bvneg(a.ctx(), a);
1771  }
1772  else if (a.is_fpa()) {
1773  r = Z3_mk_fpa_neg(a.ctx(), a);
1774  }
1775  else {
1776  // operator is not supported by given arguments.
1777  assert(false);
1778  }
1779  a.check_error();
1780  return expr(a.ctx(), r);
1781  }
Z3_ast Z3_API Z3_mk_unary_minus(Z3_context c, Z3_ast arg)
Create an AST node representing - arg.
Z3_ast Z3_API Z3_mk_fpa_neg(Z3_context c, Z3_ast t)
Floating-point negation.
Z3_ast Z3_API Z3_mk_bvneg(Z3_context c, Z3_ast t1)
Standard two's complement unary minus.

◆ operator- [2/4]

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

Definition at line 1783 of file z3++.h.

1783  {
1784  check_context(a, b);
1785  Z3_ast r = 0;
1786  if (a.is_arith() && b.is_arith()) {
1787  Z3_ast args[2] = { a, b };
1788  r = Z3_mk_sub(a.ctx(), 2, args);
1789  }
1790  else if (a.is_bv() && b.is_bv()) {
1791  r = Z3_mk_bvsub(a.ctx(), a, b);
1792  }
1793  else if (a.is_fpa() && b.is_fpa()) {
1794  r = Z3_mk_fpa_sub(a.ctx(), a.ctx().fpa_rounding_mode(), a, b);
1795  }
1796  else {
1797  // operator is not supported by given arguments.
1798  assert(false);
1799  }
1800  a.check_error();
1801  return expr(a.ctx(), r);
1802  }
Z3_ast Z3_API Z3_mk_fpa_sub(Z3_context c, Z3_ast rm, Z3_ast t1, Z3_ast t2)
Floating-point subtraction.
Z3_ast Z3_API Z3_mk_bvsub(Z3_context c, Z3_ast t1, Z3_ast t2)
Standard two's complement subtraction.
Z3_ast Z3_API Z3_mk_sub(Z3_context c, unsigned num_args, Z3_ast const args[])
Create an AST node representing args[0] - ... - args[num_args - 1].

◆ operator- [3/4]

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

Definition at line 1803 of file z3++.h.

1803 { return a - a.ctx().num_val(b, a.get_sort()); }

◆ operator- [4/4]

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

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

1804 { return b.ctx().num_val(a, b.get_sort()) - b; }

◆ operator/ [1/3]

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

Definition at line 1742 of file z3++.h.

1742  {
1743  check_context(a, b);
1744  Z3_ast r = 0;
1745  if (a.is_arith() && b.is_arith()) {
1746  r = Z3_mk_div(a.ctx(), a, b);
1747  }
1748  else if (a.is_bv() && b.is_bv()) {
1749  r = Z3_mk_bvsdiv(a.ctx(), a, b);
1750  }
1751  else if (a.is_fpa() && b.is_fpa()) {
1752  r = Z3_mk_fpa_div(a.ctx(), a.ctx().fpa_rounding_mode(), a, b);
1753  }
1754  else {
1755  // operator is not supported by given arguments.
1756  assert(false);
1757  }
1758  a.check_error();
1759  return expr(a.ctx(), r);
1760  }
Z3_ast Z3_API Z3_mk_div(Z3_context c, Z3_ast arg1, Z3_ast arg2)
Create an AST node representing arg1 div arg2.
Z3_ast Z3_API Z3_mk_bvsdiv(Z3_context c, Z3_ast t1, Z3_ast t2)
Two's complement signed division.
Z3_ast Z3_API Z3_mk_fpa_div(Z3_context c, Z3_ast rm, Z3_ast t1, Z3_ast t2)
Floating-point division.

◆ operator/ [2/3]

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

Definition at line 1761 of file z3++.h.

1761 { return a / a.ctx().num_val(b, a.get_sort()); }

◆ operator/ [3/3]

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

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

1762 { return b.ctx().num_val(a, b.get_sort()) / b; }

◆ operator< [1/3]

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

Definition at line 1831 of file z3++.h.

1831  {
1832  check_context(a, b);
1833  Z3_ast r = 0;
1834  if (a.is_arith() && b.is_arith()) {
1835  r = Z3_mk_lt(a.ctx(), a, b);
1836  }
1837  else if (a.is_bv() && b.is_bv()) {
1838  r = Z3_mk_bvslt(a.ctx(), a, b);
1839  }
1840  else if (a.is_fpa() && b.is_fpa()) {
1841  r = Z3_mk_fpa_lt(a.ctx(), a, b);
1842  }
1843  else {
1844  // operator is not supported by given arguments.
1845  assert(false);
1846  }
1847  a.check_error();
1848  return expr(a.ctx(), r);
1849  }
Z3_ast Z3_API Z3_mk_bvslt(Z3_context c, Z3_ast t1, Z3_ast t2)
Two's complement signed less than.
Z3_ast Z3_API Z3_mk_lt(Z3_context c, Z3_ast t1, Z3_ast t2)
Create less than.
Z3_ast Z3_API Z3_mk_fpa_lt(Z3_context c, Z3_ast t1, Z3_ast t2)
Floating-point less than.

◆ operator< [2/3]

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

Definition at line 1850 of file z3++.h.

1850 { return a < a.ctx().num_val(b, a.get_sort()); }

◆ operator< [3/3]

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

Definition at line 1851 of file z3++.h.

1851 { return b.ctx().num_val(a, b.get_sort()) < b; }

◆ operator<= [1/3]

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

Definition at line 1806 of file z3++.h.

1806  {
1807  check_context(a, b);
1808  Z3_ast r = 0;
1809  if (a.is_arith() && b.is_arith()) {
1810  r = Z3_mk_le(a.ctx(), a, b);
1811  }
1812  else if (a.is_bv() && b.is_bv()) {
1813  r = Z3_mk_bvsle(a.ctx(), a, b);
1814  }
1815  else if (a.is_fpa() && b.is_fpa()) {
1816  r = Z3_mk_fpa_leq(a.ctx(), a, b);
1817  }
1818  else {
1819  // operator is not supported by given arguments.
1820  assert(false);
1821  }
1822  a.check_error();
1823  return expr(a.ctx(), r);
1824  }
Z3_ast Z3_API Z3_mk_bvsle(Z3_context c, Z3_ast t1, Z3_ast t2)
Two's complement signed less than or equal to.
Z3_ast Z3_API Z3_mk_le(Z3_context c, Z3_ast t1, Z3_ast t2)
Create less than or equal to.
Z3_ast Z3_API Z3_mk_fpa_leq(Z3_context c, Z3_ast t1, Z3_ast t2)
Floating-point less than or equal.

◆ operator<= [2/3]

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

Definition at line 1825 of file z3++.h.

1825 { return a <= a.ctx().num_val(b, a.get_sort()); }

◆ operator<= [3/3]

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

Definition at line 1826 of file z3++.h.

1826 { return b.ctx().num_val(a, b.get_sort()) <= b; }

◆ operator== [1/3]

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

Definition at line 1645 of file z3++.h.

1645  {
1646  check_context(a, b);
1647  Z3_ast r = Z3_mk_eq(a.ctx(), a, b);
1648  a.check_error();
1649  return expr(a.ctx(), r);
1650  }
Z3_ast Z3_API Z3_mk_eq(Z3_context c, Z3_ast l, Z3_ast r)
Create an AST node representing l = r.

◆ operator== [2/3]

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

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

1651 { assert(a.is_arith() || a.is_bv() || a.is_fpa()); return a == a.ctx().num_val(b, a.get_sort()); }

◆ operator== [3/3]

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

Definition at line 1652 of file z3++.h.

1652 { assert(b.is_arith() || b.is_bv() || b.is_fpa()); return b.ctx().num_val(a, b.get_sort()) == b; }

◆ operator> [1/3]

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

Definition at line 1853 of file z3++.h.

1853  {
1854  check_context(a, b);
1855  Z3_ast r = 0;
1856  if (a.is_arith() && b.is_arith()) {
1857  r = Z3_mk_gt(a.ctx(), a, b);
1858  }
1859  else if (a.is_bv() && b.is_bv()) {
1860  r = Z3_mk_bvsgt(a.ctx(), a, b);
1861  }
1862  else if (a.is_fpa() && b.is_fpa()) {
1863  r = Z3_mk_fpa_gt(a.ctx(), a, b);
1864  }
1865  else {
1866  // operator is not supported by given arguments.
1867  assert(false);
1868  }
1869  a.check_error();
1870  return expr(a.ctx(), r);
1871  }
Z3_ast Z3_API Z3_mk_bvsgt(Z3_context c, Z3_ast t1, Z3_ast t2)
Two's complement signed greater than.
Z3_ast Z3_API Z3_mk_fpa_gt(Z3_context c, Z3_ast t1, Z3_ast t2)
Floating-point greater than.
Z3_ast Z3_API Z3_mk_gt(Z3_context c, Z3_ast t1, Z3_ast t2)
Create greater than.

◆ operator> [2/3]

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

Definition at line 1872 of file z3++.h.

1872 { return a > a.ctx().num_val(b, a.get_sort()); }

◆ operator> [3/3]

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

Definition at line 1873 of file z3++.h.

1873 { return b.ctx().num_val(a, b.get_sort()) > b; }

◆ operator>= [1/3]

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

Definition at line 1722 of file z3++.h.

1722  {
1723  check_context(a, b);
1724  Z3_ast r = 0;
1725  if (a.is_arith() && b.is_arith()) {
1726  r = Z3_mk_ge(a.ctx(), a, b);
1727  }
1728  else if (a.is_bv() && b.is_bv()) {
1729  r = Z3_mk_bvsge(a.ctx(), a, b);
1730  }
1731  else if (a.is_fpa() && b.is_fpa()) {
1732  r = Z3_mk_fpa_geq(a.ctx(), a, b);
1733  }
1734  else {
1735  // operator is not supported by given arguments.
1736  assert(false);
1737  }
1738  a.check_error();
1739  return expr(a.ctx(), r);
1740  }
Z3_ast Z3_API Z3_mk_bvsge(Z3_context c, Z3_ast t1, Z3_ast t2)
Two's complement signed greater than or equal to.
Z3_ast Z3_API Z3_mk_fpa_geq(Z3_context c, Z3_ast t1, Z3_ast t2)
Floating-point greater than or equal.

◆ operator>= [2/3]

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

Definition at line 1828 of file z3++.h.

1828 { return a >= a.ctx().num_val(b, a.get_sort()); }

◆ operator>= [3/3]

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

Definition at line 1829 of file z3++.h.

1829 { return b.ctx().num_val(a, b.get_sort()) >= b; }

◆ operator^ [1/3]

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

Definition at line 1879 of file z3++.h.

1879 { 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); }
Z3_ast Z3_API Z3_mk_bvxor(Z3_context c, Z3_ast t1, Z3_ast t2)
Bitwise exclusive-or.
Z3_ast Z3_API Z3_mk_xor(Z3_context c, Z3_ast t1, Z3_ast t2)
Create an AST node representing t1 xor t2.

◆ operator^ [2/3]

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

Definition at line 1880 of file z3++.h.

1880 { return a ^ a.ctx().num_val(b, a.get_sort()); }

◆ operator^ [3/3]

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

Definition at line 1881 of file z3++.h.

1881 { return b.ctx().num_val(a, b.get_sort()) ^ b; }

◆ operator| [1/3]

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

Definition at line 1883 of file z3++.h.

1883 { 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); }
Z3_ast Z3_API Z3_mk_bvor(Z3_context c, Z3_ast t1, Z3_ast t2)
Bitwise or.

◆ operator| [2/3]

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

Definition at line 1884 of file z3++.h.

1884 { return a | a.ctx().num_val(b, a.get_sort()); }

◆ operator| [3/3]

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

Definition at line 1885 of file z3++.h.

1885 { return b.ctx().num_val(a, b.get_sort()) | b; }

◆ operator|| [1/3]

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 1643 of file z3++.h.

1643 { return b.ctx().bool_val(a) || b; }

◆ operator|| [2/3]

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 1641 of file z3++.h.

1641 { return a || a.ctx().bool_val(b); }

◆ operator|| [3/3]

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 1632 of file z3++.h.

1632  {
1633  check_context(a, b);
1634  assert(a.is_bool() && b.is_bool());
1635  Z3_ast args[2] = { a, b };
1636  Z3_ast r = Z3_mk_or(a.ctx(), 2, args);
1637  a.check_error();
1638  return expr(a.ctx(), r);
1639  }

◆ operator~

expr operator~ ( expr const &  a)
friend

Definition at line 1966 of file z3++.h.

1966 { Z3_ast r = Z3_mk_bvnot(a.ctx(), a); return expr(a.ctx(), r); }
Z3_ast Z3_API Z3_mk_bvnot(Z3_context c, Z3_ast t1)
Bitwise negation.

◆ pbeq

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

Definition at line 2351 of file z3++.h.

2351  {
2352  assert(es.size() > 0);
2353  context& ctx = es[0u].ctx();
2354  array<Z3_ast> _es(es);
2355  Z3_ast r = Z3_mk_pbeq(ctx, _es.size(), _es.ptr(), coeffs, bound);
2356  ctx.check_error();
2357  return expr(ctx, r);
2358  }
Z3_ast Z3_API Z3_mk_pbeq(Z3_context c, unsigned num_args, Z3_ast const args[], int const coeffs[], int k)
Pseudo-Boolean relations.

◆ pbge

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

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

2343  {
2344  assert(es.size() > 0);
2345  context& ctx = es[0u].ctx();
2346  array<Z3_ast> _es(es);
2347  Z3_ast r = Z3_mk_pbge(ctx, _es.size(), _es.ptr(), coeffs, bound);
2348  ctx.check_error();
2349  return expr(ctx, r);
2350  }
Z3_ast Z3_API Z3_mk_pbge(Z3_context c, unsigned num_args, Z3_ast const args[], int const coeffs[], int k)
Pseudo-Boolean relations.

◆ pble

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

Definition at line 2335 of file z3++.h.

2335  {
2336  assert(es.size() > 0);
2337  context& ctx = es[0u].ctx();
2338  array<Z3_ast> _es(es);
2339  Z3_ast r = Z3_mk_pble(ctx, _es.size(), _es.ptr(), coeffs, bound);
2340  ctx.check_error();
2341  return expr(ctx, r);
2342  }
Z3_ast Z3_API Z3_mk_pble(Z3_context c, unsigned num_args, Z3_ast const args[], int const coeffs[], int k)
Pseudo-Boolean relations.

◆ pw [1/3]

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

Definition at line 1576 of file z3++.h.

1576 { _Z3_MK_BIN_(a, b, Z3_mk_power); }
Z3_ast Z3_API Z3_mk_power(Z3_context c, Z3_ast arg1, Z3_ast arg2)
Create an AST node representing arg1 ^ arg2.

◆ pw [2/3]

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

Definition at line 1577 of file z3++.h.

1577 { return pw(a, a.ctx().num_val(b, a.get_sort())); }
friend expr pw(expr const &a, expr const &b)
Definition: z3++.h:1576

◆ pw [3/3]

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

Definition at line 1578 of file z3++.h.

1578 { return pw(b.ctx().num_val(a, b.get_sort()), b); }

◆ range

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

Definition at line 3824 of file z3++.h.

3824  {
3825  check_context(lo, hi);
3826  Z3_ast r = Z3_mk_re_range(lo.ctx(), lo, hi);
3827  lo.check_error();
3828  return expr(lo.ctx(), r);
3829  }
Z3_ast Z3_API Z3_mk_re_range(Z3_context c, Z3_ast lo, Z3_ast hi)
Create the range regular expression over two sequences of length 1.

◆ rem [1/3]

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

Definition at line 1596 of file z3++.h.

1596  {
1597  if (a.is_fpa() && b.is_fpa()) {
1598  _Z3_MK_BIN_(a, b, Z3_mk_fpa_rem);
1599  } else {
1600  _Z3_MK_BIN_(a, b, Z3_mk_rem);
1601  }
1602  }
Z3_ast Z3_API Z3_mk_fpa_rem(Z3_context c, Z3_ast t1, Z3_ast t2)
Floating-point remainder.
Z3_ast Z3_API Z3_mk_rem(Z3_context c, Z3_ast arg1, Z3_ast arg2)
Create an AST node representing arg1 rem arg2.

◆ rem [2/3]

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

Definition at line 1603 of file z3++.h.

1603 { return rem(a, a.ctx().num_val(b, a.get_sort())); }
friend expr rem(expr const &a, expr const &b)
Definition: z3++.h:1596

◆ rem [3/3]

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

Definition at line 1604 of file z3++.h.

1604 { return rem(b.ctx().num_val(a, b.get_sort()), b); }

◆ round_fpa_to_closest_integer

expr round_fpa_to_closest_integer ( expr const &  t)
friend

Round a floating-point term into its closest integer.

Definition at line 2019 of file z3++.h.

2019  {
2020  assert(t.is_fpa());
2021  Z3_ast r = Z3_mk_fpa_round_to_integral(t.ctx(), t.ctx().fpa_rounding_mode(), t);
2022  t.check_error();
2023  return expr(t.ctx(), r);
2024  }
Z3_ast Z3_API Z3_mk_fpa_round_to_integral(Z3_context c, Z3_ast rm, Z3_ast t)
Floating-point roundToIntegral. Rounds a floating-point number to the closest integer,...

◆ sbv_to_fpa

expr sbv_to_fpa ( expr const &  t,
sort  s 
)
friend

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

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

1998  {
1999  assert(t.is_bv());
2000  Z3_ast r = Z3_mk_fpa_to_fp_signed(t.ctx(), t.ctx().fpa_rounding_mode(), t, s);
2001  t.check_error();
2002  return expr(t.ctx(), r);
2003  }
Z3_ast Z3_API Z3_mk_fpa_to_fp_signed(Z3_context c, Z3_ast rm, Z3_ast t, Z3_sort s)
Conversion of a 2's complement signed bit-vector term into a term of FloatingPoint sort.

◆ sqrt

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

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

1952  {
1953  check_context(a, rm);
1954  assert(a.is_fpa());
1955  Z3_ast r = Z3_mk_fpa_sqrt(a.ctx(), rm, a);
1956  a.check_error();
1957  return expr(a.ctx(), r);
1958  }
Z3_ast Z3_API Z3_mk_fpa_sqrt(Z3_context c, Z3_ast rm, Z3_ast t)
Floating-point square root.

◆ sum

expr sum ( expr_vector const &  args)
friend

Definition at line 2375 of file z3++.h.

2375  {
2376  assert(args.size() > 0);
2377  context& ctx = args[0u].ctx();
2378  array<Z3_ast> _args(args);
2379  Z3_ast r = Z3_mk_add(ctx, _args.size(), _args.ptr());
2380  ctx.check_error();
2381  return expr(ctx, r);
2382  }

◆ ubv_to_fpa

expr ubv_to_fpa ( expr const &  t,
sort  s 
)
friend

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

Definition at line 2005 of file z3++.h.

2005  {
2006  assert(t.is_bv());
2007  Z3_ast r = Z3_mk_fpa_to_fp_unsigned(t.ctx(), t.ctx().fpa_rounding_mode(), t, s);
2008  t.check_error();
2009  return expr(t.ctx(), r);
2010  }
Z3_ast Z3_API Z3_mk_fpa_to_fp_unsigned(Z3_context c, Z3_ast rm, Z3_ast t, Z3_sort s)
Conversion of a 2's complement unsigned bit-vector term into a term of FloatingPoint sort.

◆ xnor

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

Definition at line 1889 of file z3++.h.

1889 { 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); }
Z3_ast Z3_API Z3_mk_bvxnor(Z3_context c, Z3_ast t1, Z3_ast t2)
Bitwise xnor.