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Data Structures | Typedefs | Enumerations | Functions
z3 Namespace Reference

Z3 C++ namespace. More...

Data Structures

class  apply_result
 
class  array
 
class  ast
 
class  ast_vector_tpl
 
class  cast_ast
 
class  cast_ast< ast >
 
class  cast_ast< expr >
 
class  cast_ast< func_decl >
 
class  cast_ast< sort >
 
class  config
 Z3 global configuration object. More...
 
class  constructor_list
 
class  constructors
 
class  context
 A Context manages all other Z3 objects, global configuration options, etc. More...
 
class  exception
 Exception used to sign API usage errors. More...
 
class  expr
 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...
 
class  fixedpoint
 
class  func_decl
 Function declaration (aka function definition). It is the signature of interpreted and uninterpreted functions in Z3. The basic building block in Z3 is the function application. More...
 
class  func_entry
 
class  func_interp
 
class  goal
 
class  model
 
class  object
 
class  on_clause
 
class  optimize
 
class  param_descrs
 
class  parameter
 class for auxiliary parameters associated with func_decl The class is initialized with a func_decl or application expression and an index The accessor get_expr, get_sort, ... is available depending on the value of kind(). The caller is responsible to check that the kind of the parameter aligns with the call (get_expr etc). More...
 
class  params
 
class  probe
 
class  rcf_num
 Wrapper for Z3 Real Closed Field (RCF) numerals. More...
 
class  simplifier
 
class  solver
 
class  sort
 A Z3 sort (aka type). Every expression (i.e., formula or term) in Z3 has a sort. More...
 
class  stats
 
class  symbol
 
class  tactic
 
class  user_propagator_base
 

Typedefs

typedef ast_vector_tpl< astast_vector
 
typedef ast_vector_tpl< exprexpr_vector
 
typedef ast_vector_tpl< sortsort_vector
 
typedef ast_vector_tpl< func_declfunc_decl_vector
 
typedef std::function< void(expr const &proof, std::vector< unsigned > const &deps, expr_vector const &clause)> on_clause_eh_t
 

Enumerations

enum  check_result { unsat , sat , unknown }
 
enum  rounding_mode {
  RNA , RNE , RTP , RTN ,
  RTZ
}
 

Functions

void set_param (char const *param, char const *value)
 
void set_param (char const *param, bool value)
 
void set_param (char const *param, int value)
 
void reset_params ()
 
void get_version (unsigned &major, unsigned &minor, unsigned &build_number, unsigned &revision_number)
 Return Z3 version number information.
 
std::string get_full_version ()
 Return a string that fully describes the version of Z3 in use.
 
void enable_trace (char const *tag)
 Enable tracing messages tagged as tag when Z3 is compiled in debug mode. It is a NOOP otherwise.
 
void disable_trace (char const *tag)
 Disable tracing messages tagged as tag when Z3 is compiled in debug mode. It is a NOOP otherwise.
 
std::ostream & operator<< (std::ostream &out, exception const &e)
 
check_result to_check_result (Z3_lbool l)
 
void check_context (object const &a, object const &b)
 
std::ostream & operator<< (std::ostream &out, symbol const &s)
 
std::ostream & operator<< (std::ostream &out, param_descrs const &d)
 
std::ostream & operator<< (std::ostream &out, params const &p)
 
std::ostream & operator<< (std::ostream &out, ast const &n)
 
bool eq (ast const &a, ast const &b)
 
expr select (expr const &a, expr const &i)
 forward declarations
 
expr select (expr const &a, expr_vector const &i)
 
expr implies (expr const &a, expr const &b)
 
expr implies (expr const &a, bool b)
 
expr implies (bool 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 operator% (expr const &a, expr const &b)
 
expr operator% (expr const &a, int b)
 
expr operator% (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 operator! (expr const &a)
 
expr is_int (expr const &e)
 
expr operator&& (expr const &a, expr const &b)
 
expr operator&& (expr const &a, bool b)
 
expr operator&& (bool a, expr const &b)
 
expr operator|| (expr const &a, expr const &b)
 
expr operator|| (expr const &a, bool b)
 
expr operator|| (bool 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, double b)
 
expr operator== (double 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, double b)
 
expr operator!= (double 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, 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, 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 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 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)
 
expr fpa_fp (expr const &sgn, expr const &exp, expr const &sig)
 
expr fpa_to_sbv (expr const &t, unsigned sz)
 
expr fpa_to_ubv (expr const &t, unsigned sz)
 
expr sbv_to_fpa (expr const &t, sort s)
 
expr ubv_to_fpa (expr const &t, sort s)
 
expr fpa_to_fpa (expr const &t, sort s)
 
expr round_fpa_to_closest_integer (expr const &t)
 
expr ite (expr const &c, expr const &t, expr const &e)
 Create the if-then-else expression ite(c, t, e)
 
expr to_expr (context &c, Z3_ast a)
 Wraps a Z3_ast as an expr object. It also checks for errors. This function allows the user to use the whole C API with the C++ layer defined in this file.
 
sort to_sort (context &c, Z3_sort s)
 
func_decl to_func_decl (context &c, Z3_func_decl f)
 
expr sle (expr const &a, expr const &b)
 signed less than or equal to operator for bitvectors.
 
expr sle (expr const &a, int b)
 
expr sle (int a, expr const &b)
 
expr slt (expr const &a, expr const &b)
 signed less than operator for bitvectors.
 
expr slt (expr const &a, int b)
 
expr slt (int a, expr const &b)
 
expr sge (expr const &a, expr const &b)
 signed greater than or equal to operator for bitvectors.
 
expr sge (expr const &a, int b)
 
expr sge (int a, expr const &b)
 
expr sgt (expr const &a, expr const &b)
 signed greater than operator for bitvectors.
 
expr sgt (expr const &a, int b)
 
expr sgt (int a, expr const &b)
 
expr ule (expr const &a, expr const &b)
 unsigned less than or equal to operator for bitvectors.
 
expr ule (expr const &a, int b)
 
expr ule (int a, expr const &b)
 
expr ult (expr const &a, expr const &b)
 unsigned less than operator for bitvectors.
 
expr ult (expr const &a, int b)
 
expr ult (int a, expr const &b)
 
expr uge (expr const &a, expr const &b)
 unsigned greater than or equal to operator for bitvectors.
 
expr uge (expr const &a, int b)
 
expr uge (int a, expr const &b)
 
expr ugt (expr const &a, expr const &b)
 unsigned greater than operator for bitvectors.
 
expr ugt (expr const &a, int b)
 
expr ugt (int a, expr const &b)
 
expr sdiv (expr const &a, expr const &b)
 signed division operator for bitvectors.
 
expr sdiv (expr const &a, int b)
 
expr sdiv (int a, expr const &b)
 
expr udiv (expr const &a, expr const &b)
 unsigned division operator for bitvectors.
 
expr udiv (expr const &a, int b)
 
expr udiv (int a, expr const &b)
 
expr srem (expr const &a, expr const &b)
 signed remainder operator for bitvectors
 
expr srem (expr const &a, int b)
 
expr srem (int a, expr const &b)
 
expr smod (expr const &a, expr const &b)
 signed modulus operator for bitvectors
 
expr smod (expr const &a, int b)
 
expr smod (int a, expr const &b)
 
expr urem (expr const &a, expr const &b)
 unsigned reminder operator for bitvectors
 
expr urem (expr const &a, int b)
 
expr urem (int a, expr const &b)
 
expr shl (expr const &a, expr const &b)
 shift left operator for bitvectors
 
expr shl (expr const &a, int b)
 
expr shl (int a, expr const &b)
 
expr lshr (expr const &a, expr const &b)
 logic shift right operator for bitvectors
 
expr lshr (expr const &a, int b)
 
expr lshr (int a, expr const &b)
 
expr ashr (expr const &a, expr const &b)
 arithmetic shift right operator for bitvectors
 
expr ashr (expr const &a, int b)
 
expr ashr (int a, expr const &b)
 
expr zext (expr const &a, unsigned i)
 Extend the given bit-vector with zeros to the (unsigned) equivalent bitvector of size m+i, where m is the size of the given bit-vector.
 
expr bv2int (expr const &a, bool is_signed)
 bit-vector and integer conversions.
 
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
 
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 sext (expr const &a, unsigned i)
 Sign-extend of the given bit-vector to the (signed) equivalent bitvector of size m+i, where m is the size of the given bit-vector.
 
func_decl linear_order (sort const &a, unsigned index)
 
func_decl partial_order (sort const &a, unsigned index)
 
func_decl piecewise_linear_order (sort const &a, unsigned index)
 
func_decl tree_order (sort const &a, unsigned index)
 
expr_vector polynomial_subresultants (expr const &p, expr const &q, expr const &x)
 Return the nonzero subresultants of p and q with respect to the "variable" x.
 
expr forall (expr const &x, expr const &b)
 
expr forall (expr const &x1, expr const &x2, expr const &b)
 
expr forall (expr const &x1, expr const &x2, expr const &x3, expr const &b)
 
expr forall (expr const &x1, expr const &x2, expr const &x3, expr const &x4, expr const &b)
 
expr forall (expr_vector const &xs, expr const &b)
 
expr exists (expr const &x, expr const &b)
 
expr exists (expr const &x1, expr const &x2, expr const &b)
 
expr exists (expr const &x1, expr const &x2, expr const &x3, expr const &b)
 
expr exists (expr const &x1, expr const &x2, expr const &x3, expr const &x4, expr const &b)
 
expr exists (expr_vector const &xs, expr const &b)
 
expr lambda (expr const &x, expr const &b)
 
expr lambda (expr const &x1, expr const &x2, expr const &b)
 
expr lambda (expr const &x1, expr const &x2, expr const &x3, expr const &b)
 
expr lambda (expr const &x1, expr const &x2, expr const &x3, expr const &x4, expr const &b)
 
expr lambda (expr_vector const &xs, 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 sum (expr_vector const &args)
 
expr distinct (expr_vector const &args)
 
expr concat (expr const &a, expr const &b)
 
expr concat (expr_vector const &args)
 
expr map (expr const &f, expr const &list)
 
expr mapi (expr const &f, expr const &i, expr const &list)
 
expr foldl (expr const &f, expr const &a, expr const &list)
 
expr foldli (expr const &f, expr const &i, expr const &a, expr const &list)
 
expr mk_or (expr_vector const &args)
 
expr mk_and (expr_vector const &args)
 
expr mk_xor (expr_vector const &args)
 
std::ostream & operator<< (std::ostream &out, model const &m)
 
std::ostream & operator<< (std::ostream &out, stats const &s)
 
std::ostream & operator<< (std::ostream &out, check_result r)
 
std::ostream & operator<< (std::ostream &out, solver const &s)
 
std::ostream & operator<< (std::ostream &out, goal const &g)
 
std::ostream & operator<< (std::ostream &out, apply_result const &r)
 
tactic operator& (tactic const &t1, tactic const &t2)
 
tactic operator| (tactic const &t1, tactic const &t2)
 
tactic repeat (tactic const &t, unsigned max=UINT_MAX)
 
tactic with (tactic const &t, params const &p)
 
tactic try_for (tactic const &t, unsigned ms)
 
tactic par_or (unsigned n, tactic const *tactics)
 
tactic par_and_then (tactic const &t1, tactic const &t2)
 
simplifier operator& (simplifier const &t1, simplifier const &t2)
 
simplifier with (simplifier const &t, params const &p)
 
probe operator<= (probe const &p1, probe const &p2)
 
probe operator<= (probe const &p1, double p2)
 
probe operator<= (double p1, probe const &p2)
 
probe operator>= (probe const &p1, probe const &p2)
 
probe operator>= (probe const &p1, double p2)
 
probe operator>= (double p1, probe const &p2)
 
probe operator< (probe const &p1, probe const &p2)
 
probe operator< (probe const &p1, double p2)
 
probe operator< (double p1, probe const &p2)
 
probe operator> (probe const &p1, probe const &p2)
 
probe operator> (probe const &p1, double p2)
 
probe operator> (double p1, probe const &p2)
 
probe operator== (probe const &p1, probe const &p2)
 
probe operator== (probe const &p1, double p2)
 
probe operator== (double p1, probe const &p2)
 
probe operator&& (probe const &p1, probe const &p2)
 
probe operator|| (probe const &p1, probe const &p2)
 
probe operator! (probe const &p)
 
std::ostream & operator<< (std::ostream &out, optimize const &s)
 
std::ostream & operator<< (std::ostream &out, fixedpoint const &f)
 
tactic fail_if (probe const &p)
 
tactic when (probe const &p, tactic const &t)
 
tactic cond (probe const &p, tactic const &t1, tactic const &t2)
 
expr to_real (expr const &a)
 
func_decl function (symbol const &name, unsigned arity, sort const *domain, sort const &range)
 
func_decl function (char const *name, unsigned arity, sort const *domain, sort const &range)
 
func_decl function (char const *name, sort const &domain, sort const &range)
 
func_decl function (char const *name, sort const &d1, sort const &d2, sort const &range)
 
func_decl function (char const *name, sort const &d1, sort const &d2, sort const &d3, sort const &range)
 
func_decl function (char const *name, sort const &d1, sort const &d2, sort const &d3, sort const &d4, sort const &range)
 
func_decl function (char const *name, sort const &d1, sort const &d2, sort const &d3, sort const &d4, sort const &d5, sort const &range)
 
func_decl function (char const *name, sort_vector const &domain, sort const &range)
 
func_decl function (std::string const &name, sort_vector const &domain, sort const &range)
 
func_decl recfun (symbol const &name, unsigned arity, sort const *domain, sort const &range)
 
func_decl recfun (char const *name, unsigned arity, sort const *domain, sort const &range)
 
func_decl recfun (char const *name, sort const &d1, sort const &range)
 
func_decl recfun (char const *name, sort const &d1, sort const &d2, sort const &range)
 
expr select (expr const &a, int i)
 
expr store (expr const &a, expr const &i, expr const &v)
 
expr store (expr const &a, int i, expr const &v)
 
expr store (expr const &a, expr i, int v)
 
expr store (expr const &a, int i, int v)
 
expr store (expr const &a, expr_vector const &i, expr const &v)
 
expr as_array (func_decl &f)
 
expr array_default (expr const &a)
 
expr array_ext (expr const &a, expr const &b)
 
expr const_array (sort const &d, expr const &v)
 
expr empty_set (sort const &s)
 
expr full_set (sort const &s)
 
expr set_add (expr const &s, expr const &e)
 
expr set_del (expr const &s, expr const &e)
 
expr set_union (expr const &a, expr const &b)
 
expr set_intersect (expr const &a, expr const &b)
 
expr set_difference (expr const &a, expr const &b)
 
expr set_complement (expr const &a)
 
expr set_member (expr const &s, expr const &e)
 
expr set_subset (expr const &a, expr const &b)
 
expr empty (sort const &s)
 
expr suffixof (expr const &a, expr const &b)
 
expr prefixof (expr const &a, expr const &b)
 
expr indexof (expr const &s, expr const &substr, expr const &offset)
 
expr last_indexof (expr const &s, expr const &substr)
 
expr to_re (expr const &s)
 
expr in_re (expr const &s, expr const &re)
 
expr plus (expr const &re)
 
expr option (expr const &re)
 
expr star (expr const &re)
 
expr re_empty (sort const &s)
 
expr re_full (sort const &s)
 
expr re_intersect (expr_vector const &args)
 
expr re_diff (expr const &a, expr const &b)
 
expr re_complement (expr const &a)
 
expr range (expr const &lo, expr const &hi)
 
rcf_num rcf_pi (context &c)
 Create an RCF numeral representing pi.
 
rcf_num rcf_e (context &c)
 Create an RCF numeral representing e (Euler's constant).
 
rcf_num rcf_infinitesimal (context &c)
 Create an RCF numeral representing an infinitesimal.
 
std::vector< rcf_numrcf_roots (context &c, std::vector< rcf_num > const &coeffs)
 Find roots of a polynomial with given coefficients.
 

Detailed Description

Z3 C++ namespace.

Typedef Documentation

◆ ast_vector

Definition at line 76 of file z3++.h.

◆ expr_vector

Definition at line 77 of file z3++.h.

◆ func_decl_vector

Definition at line 79 of file z3++.h.

◆ on_clause_eh_t

typedef std::function<void(expr const& proof, std::vector<unsigned> const& deps, expr_vector const& clause)> on_clause_eh_t

Definition at line 4492 of file z3++.h.

◆ sort_vector

Definition at line 78 of file z3++.h.

Enumeration Type Documentation

◆ check_result

Enumerator
unsat 
sat 
unknown 

Definition at line 166 of file z3++.h.

166 {
167 unsat, sat, unknown
168 };

◆ rounding_mode

Enumerator
RNA 
RNE 
RTP 
RTN 
RTZ 

Definition at line 170 of file z3++.h.

170 {
171 RNA,
172 RNE,
173 RTP,
174 RTN,
175 RTZ
176 };
@ RNE
Definition z3++.h:172
@ RNA
Definition z3++.h:171
@ RTZ
Definition z3++.h:175
@ RTN
Definition z3++.h:174
@ RTP
Definition z3++.h:173

Function Documentation

◆ abs()

expr abs ( expr const a)
inline

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

2082 {
2083 Z3_ast r;
2084 if (a.is_int()) {
2085 expr zero = a.ctx().int_val(0);
2086 expr ge = a >= zero;
2087 expr na = -a;
2088 r = Z3_mk_ite(a.ctx(), ge, a, na);
2089 }
2090 else if (a.is_real()) {
2091 expr zero = a.ctx().real_val(0);
2092 expr ge = a >= zero;
2093 expr na = -a;
2094 r = Z3_mk_ite(a.ctx(), ge, a, na);
2095 }
2096 else {
2097 r = Z3_mk_fpa_abs(a.ctx(), a);
2098 }
2099 a.check_error();
2100 return expr(a.ctx(), r);
2101 }
A Z3 expression is used to represent formulas and terms. For Z3, a formula is any expression of sort ...
Definition z3++.h:877
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.

◆ array_default()

expr array_default ( expr const a)
inline

Definition at line 4191 of file z3++.h.

4191 {
4192 Z3_ast r = Z3_mk_array_default(a.ctx(), a);
4193 a.check_error();
4194 return expr(a.ctx(), r);
4195 }
Z3_ast Z3_API Z3_mk_array_default(Z3_context c, Z3_ast array)
Access the array default value. Produces the default range value, for arrays that can be represented ...

◆ array_ext()

expr array_ext ( expr const a,
expr const b 
)
inline

Definition at line 4197 of file z3++.h.

4197 {
4198 check_context(a, b);
4199 Z3_ast r = Z3_mk_array_ext(a.ctx(), a, b);
4200 a.check_error();
4201 return expr(a.ctx(), r);
4202 }
Z3_ast Z3_API Z3_mk_array_ext(Z3_context c, Z3_ast arg1, Z3_ast arg2)
Create array extensionality index given two arrays with the same sort. The meaning is given by the ax...
void check_context(object const &a, object const &b)
Definition z3++.h:544

◆ as_array()

expr as_array ( func_decl f)
inline

Definition at line 4185 of file z3++.h.

4185 {
4186 Z3_ast r = Z3_mk_as_array(f.ctx(), f);
4187 f.check_error();
4188 return expr(f.ctx(), r);
4189 }
Z3_error_code check_error() const
Definition z3++.h:541
context & ctx() const
Definition z3++.h:540
Z3_ast Z3_API Z3_mk_as_array(Z3_context c, Z3_func_decl f)
Create array with the same interpretation as a function. The array satisfies the property (f x) = (se...

◆ ashr() [1/3]

expr ashr ( expr const a,
expr const b 
)
inline

arithmetic shift right operator for bitvectors

Definition at line 2316 of file z3++.h.

2316{ return to_expr(a.ctx(), Z3_mk_bvashr(a.ctx(), a, b)); }
Z3_ast Z3_API Z3_mk_bvashr(Z3_context c, Z3_ast t1, Z3_ast t2)
Arithmetic shift right.
expr to_expr(context &c, Z3_ast a)
Wraps a Z3_ast as an expr object. It also checks for errors. This function allows the user to use the...
Definition z3++.h:2194

Referenced by ashr(), and ashr().

◆ ashr() [2/3]

expr ashr ( expr const a,
int  b 
)
inline

Definition at line 2317 of file z3++.h.

2317{ return ashr(a, a.ctx().num_val(b, a.get_sort())); }
expr ashr(expr const &a, expr const &b)
arithmetic shift right operator for bitvectors
Definition z3++.h:2316

◆ ashr() [3/3]

expr ashr ( int  a,
expr const b 
)
inline

Definition at line 2318 of file z3++.h.

2318{ return ashr(b.ctx().num_val(a, b.get_sort()), b); }

◆ atleast()

expr atleast ( expr_vector const es,
unsigned  bound 
)
inline

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

2538 {
2539 assert(es.size() > 0);
2540 context& ctx = es[0u].ctx();
2542 Z3_ast r = Z3_mk_atleast(ctx, _es.size(), _es.ptr(), bound);
2543 ctx.check_error();
2544 return expr(ctx, r);
2545 }
A Context manages all other Z3 objects, global configuration options, etc.
Definition z3++.h:191
Z3_error_code check_error() const
Auxiliary method used to check for API usage errors.
Definition z3++.h:241
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 
)
inline

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

2530 {
2531 assert(es.size() > 0);
2532 context& ctx = es[0u].ctx();
2534 Z3_ast r = Z3_mk_atmost(ctx, _es.size(), _es.ptr(), bound);
2535 ctx.check_error();
2536 return expr(ctx, r);
2537 }
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 
)
inline

bit-vector and integer conversions.

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

2328{ 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 
)
inline

bit-vector overflow/underflow checks

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

2334 {
2335 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);
2336 }
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 
)
inline

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

2337 {
2338 check_context(a, b); Z3_ast r = Z3_mk_bvadd_no_underflow(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r);
2339 }
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 
)
inline

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

2352 {
2353 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);
2354 }
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 
)
inline

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

2355 {
2356 check_context(a, b); Z3_ast r = Z3_mk_bvmul_no_underflow(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r);
2357 }
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)
inline

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

2349 {
2350 Z3_ast r = Z3_mk_bvneg_no_overflow(a.ctx(), a); a.check_error(); return expr(a.ctx(), r);
2351 }
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)
inline

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

2076 {
2077 assert(a.is_bv());
2078 Z3_ast r = Z3_mk_bvredand(a.ctx(), a);
2079 a.check_error();
2080 return expr(a.ctx(), r);
2081 }
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)
inline

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

2070 {
2071 assert(a.is_bv());
2072 Z3_ast r = Z3_mk_bvredor(a.ctx(), a);
2073 a.check_error();
2074 return expr(a.ctx(), r);
2075 }
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 
)
inline

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

2346 {
2347 check_context(a, b); Z3_ast r = Z3_mk_bvsdiv_no_overflow(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r);
2348 }
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 
)
inline

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

2340 {
2341 check_context(a, b); Z3_ast r = Z3_mk_bvsub_no_overflow(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r);
2342 }
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 
)
inline

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

2343 {
2344 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);
2345 }
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.

◆ check_context()

void check_context ( object const a,
object const b 
)
inline

◆ concat() [1/2]

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

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

2564 {
2565 check_context(a, b);
2566 Z3_ast r;
2567 if (Z3_is_seq_sort(a.ctx(), a.get_sort())) {
2568 Z3_ast _args[2] = { a, b };
2569 r = Z3_mk_seq_concat(a.ctx(), 2, _args);
2570 }
2571 else if (Z3_is_re_sort(a.ctx(), a.get_sort())) {
2572 Z3_ast _args[2] = { a, b };
2573 r = Z3_mk_re_concat(a.ctx(), 2, _args);
2574 }
2575 else {
2576 r = Z3_mk_concat(a.ctx(), a, b);
2577 }
2578 a.ctx().check_error();
2579 return expr(a.ctx(), r);
2580 }
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.
System.IntPtr Z3_ast

◆ concat() [2/2]

expr concat ( expr_vector const args)
inline

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

2582 {
2583 Z3_ast r;
2584 assert(args.size() > 0);
2585 if (args.size() == 1) {
2586 return args[0u];
2587 }
2588 context& ctx = args[0u].ctx();
2589 array<Z3_ast> _args(args);
2590 if (Z3_is_seq_sort(ctx, args[0u].get_sort())) {
2591 r = Z3_mk_seq_concat(ctx, _args.size(), _args.ptr());
2592 }
2593 else if (Z3_is_re_sort(ctx, args[0u].get_sort())) {
2594 r = Z3_mk_re_concat(ctx, _args.size(), _args.ptr());
2595 }
2596 else {
2597 r = _args[args.size()-1];
2598 for (unsigned i = args.size()-1; i > 0; ) {
2599 --i;
2600 r = Z3_mk_concat(ctx, _args[i], r);
2601 ctx.check_error();
2602 }
2603 }
2604 ctx.check_error();
2605 return expr(ctx, r);
2606 }

◆ cond()

tactic cond ( probe const p,
tactic const t1,
tactic const t2 
)
inline

Definition at line 3648 of file z3++.h.

3648 {
3650 Z3_tactic r = Z3_tactic_cond(t1.ctx(), p, t1, t2);
3651 t1.check_error();
3652 return tactic(t1.ctx(), r);
3653 }
Z3_tactic Z3_API Z3_tactic_cond(Z3_context c, Z3_probe p, Z3_tactic t1, Z3_tactic t2)
Return a tactic that applies t1 to a given goal if the probe p evaluates to true, and t2 if p evaluat...

◆ const_array()

expr const_array ( sort const d,
expr const v 
)
inline

Definition at line 4215 of file z3++.h.

4215 {
4217 }
Z3_ast Z3_API Z3_mk_const_array(Z3_context c, Z3_sort domain, Z3_ast v)
Create the constant array.
#define MK_EXPR2(_fn, _arg1, _arg2)
Definition z3++.h:4209

◆ disable_trace()

void disable_trace ( char const tag)
inline

Disable tracing messages tagged as tag when Z3 is compiled in debug mode. It is a NOOP otherwise.

Definition at line 112 of file z3++.h.

112 {
114 }
void Z3_API Z3_disable_trace(Z3_string tag)
Disable tracing messages tagged as tag when Z3 is compiled in debug mode. It is a NOOP otherwise.

◆ distinct()

expr distinct ( expr_vector const args)
inline

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

2555 {
2556 assert(args.size() > 0);
2557 context& ctx = args[0u].ctx();
2558 array<Z3_ast> _args(args);
2559 Z3_ast r = Z3_mk_distinct(ctx, _args.size(), _args.ptr());
2560 ctx.check_error();
2561 return expr(ctx, r);
2562 }
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]).

◆ empty()

expr empty ( sort const s)
inline

Definition at line 4271 of file z3++.h.

4271 {
4272 Z3_ast r = Z3_mk_seq_empty(s.ctx(), s);
4273 s.check_error();
4274 return expr(s.ctx(), r);
4275 }
Z3_ast Z3_API Z3_mk_seq_empty(Z3_context c, Z3_sort seq)
Create an empty sequence of the sequence sort seq.

◆ empty_set()

expr empty_set ( sort const s)
inline

Definition at line 4219 of file z3++.h.

4219 {
4221 }
Z3_ast Z3_API Z3_mk_empty_set(Z3_context c, Z3_sort domain)
Create the empty set.
#define MK_EXPR1(_fn, _arg)
Definition z3++.h:4204

◆ enable_trace()

void enable_trace ( char const tag)
inline

Enable tracing messages tagged as tag when Z3 is compiled in debug mode. It is a NOOP otherwise.

Definition at line 104 of file z3++.h.

104 {
106 }
void Z3_API Z3_enable_trace(Z3_string tag)
Enable tracing messages tagged as tag when Z3 is compiled in debug mode. It is a NOOP otherwise.

◆ eq()

bool eq ( ast const a,
ast const b 
)
inline

Definition at line 650 of file z3++.h.

650{ return Z3_is_eq_ast(a.ctx(), a, b); }
bool Z3_API Z3_is_eq_ast(Z3_context c, Z3_ast t1, Z3_ast t2)
Compare terms.

◆ exists() [1/5]

expr exists ( expr const x,
expr const b 
)
inline

Definition at line 2457 of file z3++.h.

2457 {
2458 check_context(x, b);
2459 Z3_app vars[] = {(Z3_app) x};
2460 Z3_ast r = Z3_mk_exists_const(b.ctx(), 0, 1, vars, 0, 0, b); b.check_error(); return expr(b.ctx(), r);
2461 }
Z3_ast Z3_API Z3_mk_exists_const(Z3_context c, unsigned weight, unsigned num_bound, Z3_app const bound[], unsigned num_patterns, Z3_pattern const patterns[], Z3_ast body)
Similar to Z3_mk_forall_const.

◆ exists() [2/5]

expr exists ( expr const x1,
expr const x2,
expr const b 
)
inline

Definition at line 2462 of file z3++.h.

2462 {
2464 Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2};
2465 Z3_ast r = Z3_mk_exists_const(b.ctx(), 0, 2, vars, 0, 0, b); b.check_error(); return expr(b.ctx(), r);
2466 }

◆ exists() [3/5]

expr exists ( expr const x1,
expr const x2,
expr const x3,
expr const b 
)
inline

Definition at line 2467 of file z3++.h.

2467 {
2469 Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2, (Z3_app) x3 };
2470 Z3_ast r = Z3_mk_exists_const(b.ctx(), 0, 3, vars, 0, 0, b); b.check_error(); return expr(b.ctx(), r);
2471 }

◆ exists() [4/5]

expr exists ( expr const x1,
expr const x2,
expr const x3,
expr const x4,
expr const b 
)
inline

Definition at line 2472 of file z3++.h.

2472 {
2474 Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2, (Z3_app) x3, (Z3_app) x4 };
2475 Z3_ast r = Z3_mk_exists_const(b.ctx(), 0, 4, vars, 0, 0, b); b.check_error(); return expr(b.ctx(), r);
2476 }

◆ exists() [5/5]

expr exists ( expr_vector const xs,
expr const b 
)
inline

Definition at line 2477 of file z3++.h.

2477 {
2478 array<Z3_app> vars(xs);
2479 Z3_ast r = Z3_mk_exists_const(b.ctx(), 0, vars.size(), vars.ptr(), 0, 0, b); b.check_error(); return expr(b.ctx(), r);
2480 }

◆ fail_if()

tactic fail_if ( probe const p)
inline

Definition at line 3637 of file z3++.h.

3637 {
3638 Z3_tactic r = Z3_tactic_fail_if(p.ctx(), p);
3639 p.check_error();
3640 return tactic(p.ctx(), r);
3641 }
Z3_tactic Z3_API Z3_tactic_fail_if(Z3_context c, Z3_probe p)
Return a tactic that fails if the probe p evaluates to false.

◆ fma()

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

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

2118 {
2120 assert(a.is_fpa() && b.is_fpa() && c.is_fpa());
2121 Z3_ast r = Z3_mk_fpa_fma(a.ctx(), rm, a, b, c);
2122 a.check_error();
2123 return expr(a.ctx(), r);
2124 }
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.

◆ foldl()

expr foldl ( expr const f,
expr const a,
expr const list 
)
inline

Definition at line 2622 of file z3++.h.

2622 {
2623 context& ctx = f.ctx();
2624 Z3_ast r = Z3_mk_seq_foldl(ctx, f, a, list);
2625 ctx.check_error();
2626 return expr(ctx, r);
2627 }
Z3_ast Z3_API Z3_mk_seq_foldl(Z3_context c, Z3_ast f, Z3_ast a, Z3_ast s)
Create a fold of the function f over the sequence s with accumulator a.

◆ foldli()

expr foldli ( expr const f,
expr const i,
expr const a,
expr const list 
)
inline

Definition at line 2629 of file z3++.h.

2629 {
2630 context& ctx = f.ctx();
2631 Z3_ast r = Z3_mk_seq_foldli(ctx, f, i, a, list);
2632 ctx.check_error();
2633 return expr(ctx, r);
2634 }
Z3_ast Z3_API Z3_mk_seq_foldli(Z3_context c, Z3_ast f, Z3_ast i, Z3_ast a, Z3_ast s)
Create a fold with index tracking of the function f over the sequence s with accumulator a starting a...

◆ forall() [1/5]

expr forall ( expr const x,
expr const b 
)
inline

Definition at line 2433 of file z3++.h.

2433 {
2434 check_context(x, b);
2435 Z3_app vars[] = {(Z3_app) x};
2436 Z3_ast r = Z3_mk_forall_const(b.ctx(), 0, 1, vars, 0, 0, b); b.check_error(); return expr(b.ctx(), r);
2437 }
Z3_ast Z3_API Z3_mk_forall_const(Z3_context c, unsigned weight, unsigned num_bound, Z3_app const bound[], unsigned num_patterns, Z3_pattern const patterns[], Z3_ast body)
Create a universal quantifier using a list of constants that will form the set of bound variables.

◆ forall() [2/5]

expr forall ( expr const x1,
expr const x2,
expr const b 
)
inline

Definition at line 2438 of file z3++.h.

2438 {
2440 Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2};
2441 Z3_ast r = Z3_mk_forall_const(b.ctx(), 0, 2, vars, 0, 0, b); b.check_error(); return expr(b.ctx(), r);
2442 }

◆ forall() [3/5]

expr forall ( expr const x1,
expr const x2,
expr const x3,
expr const b 
)
inline

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

2443 {
2445 Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2, (Z3_app) x3 };
2446 Z3_ast r = Z3_mk_forall_const(b.ctx(), 0, 3, vars, 0, 0, b); b.check_error(); return expr(b.ctx(), r);
2447 }

◆ forall() [4/5]

expr forall ( expr const x1,
expr const x2,
expr const x3,
expr const x4,
expr const b 
)
inline

Definition at line 2448 of file z3++.h.

2448 {
2450 Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2, (Z3_app) x3, (Z3_app) x4 };
2451 Z3_ast r = Z3_mk_forall_const(b.ctx(), 0, 4, vars, 0, 0, b); b.check_error(); return expr(b.ctx(), r);
2452 }

◆ forall() [5/5]

expr forall ( expr_vector const xs,
expr const b 
)
inline

Definition at line 2453 of file z3++.h.

2453 {
2454 array<Z3_app> vars(xs);
2455 Z3_ast r = Z3_mk_forall_const(b.ctx(), 0, vars.size(), vars.ptr(), 0, 0, b); b.check_error(); return expr(b.ctx(), r);
2456 }

◆ fp_eq()

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

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

2109 {
2110 check_context(a, b);
2111 assert(a.is_fpa());
2112 Z3_ast r = Z3_mk_fpa_eq(a.ctx(), a, b);
2113 a.check_error();
2114 return expr(a.ctx(), r);
2115 }
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 
)
inline

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

2126 {
2128 assert(sgn.is_bv() && exp.is_bv() && sig.is_bv());
2129 Z3_ast r = Z3_mk_fpa_fp(sgn.ctx(), sgn, exp, sig);
2130 sgn.check_error();
2131 return expr(sgn.ctx(), r);
2132 }
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 
)
inline

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

2162 {
2163 assert(t.is_fpa());
2164 Z3_ast r = Z3_mk_fpa_to_fp_float(t.ctx(), t.ctx().fpa_rounding_mode(), t, s);
2165 t.check_error();
2166 return expr(t.ctx(), r);
2167 }
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 
)
inline

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

2134 {
2135 assert(t.is_fpa());
2136 Z3_ast r = Z3_mk_fpa_to_sbv(t.ctx(), t.ctx().fpa_rounding_mode(), t, sz);
2137 t.check_error();
2138 return expr(t.ctx(), r);
2139 }
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 
)
inline

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

2141 {
2142 assert(t.is_fpa());
2143 Z3_ast r = Z3_mk_fpa_to_ubv(t.ctx(), t.ctx().fpa_rounding_mode(), t, sz);
2144 t.check_error();
2145 return expr(t.ctx(), r);
2146 }
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.

◆ full_set()

expr full_set ( sort const s)
inline

Definition at line 4223 of file z3++.h.

4223 {
4225 }
Z3_ast Z3_API Z3_mk_full_set(Z3_context c, Z3_sort domain)
Create the full set.

◆ function() [1/9]

func_decl function ( char const name,
sort const d1,
sort const d2,
sort const d3,
sort const d4,
sort const d5,
sort const range 
)
inline

Definition at line 4125 of file z3++.h.

4125 {
4126 return range.ctx().function(name, d1, d2, d3, d4, d5, range);
4127 }
func_decl function(symbol const &name, unsigned arity, sort const *domain, sort const &range)
Definition z3++.h:3828
expr range(expr const &lo, expr const &hi)
Definition z3++.h:4343

◆ function() [2/9]

func_decl function ( char const name,
sort const d1,
sort const d2,
sort const d3,
sort const d4,
sort const range 
)
inline

Definition at line 4122 of file z3++.h.

4122 {
4123 return range.ctx().function(name, d1, d2, d3, d4, range);
4124 }

◆ function() [3/9]

func_decl function ( char const name,
sort const d1,
sort const d2,
sort const d3,
sort const range 
)
inline

Definition at line 4119 of file z3++.h.

4119 {
4120 return range.ctx().function(name, d1, d2, d3, range);
4121 }

◆ function() [4/9]

func_decl function ( char const name,
sort const d1,
sort const d2,
sort const range 
)
inline

Definition at line 4116 of file z3++.h.

4116 {
4117 return range.ctx().function(name, d1, d2, range);
4118 }

◆ function() [5/9]

func_decl function ( char const name,
sort const domain,
sort const range 
)
inline

Definition at line 4113 of file z3++.h.

4113 {
4114 return range.ctx().function(name, domain, range);
4115 }

◆ function() [6/9]

func_decl function ( char const name,
sort_vector const domain,
sort const range 
)
inline

Definition at line 4128 of file z3++.h.

4128 {
4129 return range.ctx().function(name, domain, range);
4130 }

◆ function() [7/9]

func_decl function ( char const name,
unsigned  arity,
sort const domain,
sort const range 
)
inline

Definition at line 4110 of file z3++.h.

4110 {
4111 return range.ctx().function(name, arity, domain, range);
4112 }

◆ function() [8/9]

func_decl function ( std::string const name,
sort_vector const domain,
sort const range 
)
inline

Definition at line 4131 of file z3++.h.

4131 {
4132 return range.ctx().function(name.c_str(), domain, range);
4133 }

◆ function() [9/9]

func_decl function ( symbol const name,
unsigned  arity,
sort const domain,
sort const range 
)
inline

Definition at line 4107 of file z3++.h.

4107 {
4108 return range.ctx().function(name, arity, domain, range);
4109 }

◆ get_full_version()

std::string get_full_version ( )
inline

Return a string that fully describes the version of Z3 in use.

Definition at line 96 of file z3++.h.

96 {
97 return std::string(Z3_get_full_version());
98 }
Z3_string Z3_API Z3_get_full_version(void)
Return a string that fully describes the version of Z3 in use.

◆ get_version()

void get_version ( unsigned &  major,
unsigned &  minor,
unsigned &  build_number,
unsigned &  revision_number 
)
inline

Return Z3 version number information.

Definition at line 89 of file z3++.h.

89 {
91 }
void Z3_API Z3_get_version(unsigned *major, unsigned *minor, unsigned *build_number, unsigned *revision_number)
Return Z3 version number information.

◆ implies() [1/3]

expr implies ( bool  a,
expr const b 
)
inline

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

1721{ return implies(b.ctx().bool_val(a), b); }
expr implies(expr const &a, expr const &b)
Definition z3++.h:1716

◆ implies() [2/3]

expr implies ( expr const a,
bool  b 
)
inline

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

1720{ return implies(a, a.ctx().bool_val(b)); }

◆ implies() [3/3]

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

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

1716 {
1717 assert(a.is_bool() && b.is_bool());
1719 }
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:1709

◆ in_re()

expr in_re ( expr const s,
expr const re 
)
inline

Definition at line 4303 of file z3++.h.

4303 {
4305 }
Z3_ast Z3_API Z3_mk_seq_in_re(Z3_context c, Z3_ast seq, Z3_ast re)
Check if seq is in the language generated by the regular expression re.

◆ indexof()

expr indexof ( expr const s,
expr const substr,
expr const offset 
)
inline

Definition at line 4288 of file z3++.h.

4288 {
4290 Z3_ast r = Z3_mk_seq_index(s.ctx(), s, substr, offset);
4291 s.check_error();
4292 return expr(s.ctx(), r);
4293 }
Z3_ast Z3_API Z3_mk_seq_index(Z3_context c, Z3_ast s, Z3_ast substr, Z3_ast offset)
Return index of the first occurrence of substr in s starting from offset offset. If s does not contai...

◆ int2bv()

expr int2bv ( unsigned  n,
expr const a 
)
inline

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

2329{ 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)
inline

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

1764{ _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:1756

◆ ite()

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

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

Precondition
c.is_bool()

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

2181 {
2182 check_context(c, t); check_context(c, e);
2183 assert(c.is_bool());
2184 Z3_ast r = Z3_mk_ite(c.ctx(), c, t, e);
2185 c.check_error();
2186 return expr(c.ctx(), r);
2187 }

◆ lambda() [1/5]

expr lambda ( expr const x,
expr const b 
)
inline

Definition at line 2481 of file z3++.h.

2481 {
2482 check_context(x, b);
2483 Z3_app vars[] = {(Z3_app) x};
2484 Z3_ast r = Z3_mk_lambda_const(b.ctx(), 1, vars, b); b.check_error(); return expr(b.ctx(), r);
2485 }
Z3_ast Z3_API Z3_mk_lambda_const(Z3_context c, unsigned num_bound, Z3_app const bound[], Z3_ast body)
Create a lambda expression using a list of constants that form the set of bound variables.

◆ lambda() [2/5]

expr lambda ( expr const x1,
expr const x2,
expr const b 
)
inline

Definition at line 2486 of file z3++.h.

2486 {
2488 Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2};
2489 Z3_ast r = Z3_mk_lambda_const(b.ctx(), 2, vars, b); b.check_error(); return expr(b.ctx(), r);
2490 }

◆ lambda() [3/5]

expr lambda ( expr const x1,
expr const x2,
expr const x3,
expr const b 
)
inline

Definition at line 2491 of file z3++.h.

2491 {
2493 Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2, (Z3_app) x3 };
2494 Z3_ast r = Z3_mk_lambda_const(b.ctx(), 3, vars, b); b.check_error(); return expr(b.ctx(), r);
2495 }

◆ lambda() [4/5]

expr lambda ( expr const x1,
expr const x2,
expr const x3,
expr const x4,
expr const b 
)
inline

Definition at line 2496 of file z3++.h.

2496 {
2498 Z3_app vars[] = {(Z3_app) x1, (Z3_app) x2, (Z3_app) x3, (Z3_app) x4 };
2499 Z3_ast r = Z3_mk_lambda_const(b.ctx(), 4, vars, b); b.check_error(); return expr(b.ctx(), r);
2500 }

◆ lambda() [5/5]

expr lambda ( expr_vector const xs,
expr const b 
)
inline

Definition at line 2501 of file z3++.h.

2501 {
2502 array<Z3_app> vars(xs);
2503 Z3_ast r = Z3_mk_lambda_const(b.ctx(), vars.size(), vars.ptr(), b); b.check_error(); return expr(b.ctx(), r);
2504 }

◆ last_indexof()

expr last_indexof ( expr const s,
expr const substr 
)
inline

Definition at line 4294 of file z3++.h.

4294 {
4295 check_context(s, substr);
4296 Z3_ast r = Z3_mk_seq_last_index(s.ctx(), s, substr);
4297 s.check_error();
4298 return expr(s.ctx(), r);
4299 }
Z3_ast Z3_API Z3_mk_seq_last_index(Z3_context c, Z3_ast s, Z3_ast substr)
Return index of the last occurrence of substr in s. If s does not contain substr, then the value is -...

◆ linear_order()

func_decl linear_order ( sort const a,
unsigned  index 
)
inline

Definition at line 2365 of file z3++.h.

2365 {
2366 return to_func_decl(a.ctx(), Z3_mk_linear_order(a.ctx(), a, index));
2367 }
Z3_func_decl Z3_API Z3_mk_linear_order(Z3_context c, Z3_sort a, unsigned id)
create a linear ordering relation over signature a. The relation is identified by the index id.
func_decl to_func_decl(context &c, Z3_func_decl f)
Definition z3++.h:2208

◆ lshr() [1/3]

expr lshr ( expr const a,
expr const b 
)
inline

logic shift right operator for bitvectors

Definition at line 2309 of file z3++.h.

2309{ return to_expr(a.ctx(), Z3_mk_bvlshr(a.ctx(), a, b)); }
Z3_ast Z3_API Z3_mk_bvlshr(Z3_context c, Z3_ast t1, Z3_ast t2)
Logical shift right.

Referenced by lshr(), and lshr().

◆ lshr() [2/3]

expr lshr ( expr const a,
int  b 
)
inline

Definition at line 2310 of file z3++.h.

2310{ return lshr(a, a.ctx().num_val(b, a.get_sort())); }
expr lshr(expr const &a, expr const &b)
logic shift right operator for bitvectors
Definition z3++.h:2309

◆ lshr() [3/3]

expr lshr ( int  a,
expr const b 
)
inline

Definition at line 2311 of file z3++.h.

2311{ return lshr(b.ctx().num_val(a, b.get_sort()), b); }

◆ map()

expr map ( expr const f,
expr const list 
)
inline

Definition at line 2608 of file z3++.h.

2608 {
2609 context& ctx = f.ctx();
2610 Z3_ast r = Z3_mk_seq_map(ctx, f, list);
2611 ctx.check_error();
2612 return expr(ctx, r);
2613 }
Z3_ast Z3_API Z3_mk_seq_map(Z3_context c, Z3_ast f, Z3_ast s)
Create a map of the function f over the sequence s.

◆ mapi()

expr mapi ( expr const f,
expr const i,
expr const list 
)
inline

Definition at line 2615 of file z3++.h.

2615 {
2616 context& ctx = f.ctx();
2617 Z3_ast r = Z3_mk_seq_mapi(ctx, f, i, list);
2618 ctx.check_error();
2619 return expr(ctx, r);
2620 }
Z3_ast Z3_API Z3_mk_seq_mapi(Z3_context c, Z3_ast f, Z3_ast i, Z3_ast s)
Create a map of the function f over the sequence s starting at index i.

◆ max()

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

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

2054 {
2055 check_context(a, b);
2056 Z3_ast r;
2057 if (a.is_arith()) {
2058 r = Z3_mk_ite(a.ctx(), Z3_mk_ge(a.ctx(), a, b), a, b);
2059 }
2060 else if (a.is_bv()) {
2061 r = Z3_mk_ite(a.ctx(), Z3_mk_bvuge(a.ctx(), a, b), a, b);
2062 }
2063 else {
2064 assert(a.is_fpa());
2065 r = Z3_mk_fpa_max(a.ctx(), a, b);
2066 }
2067 a.check_error();
2068 return expr(a.ctx(), r);
2069 }
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 
)
inline

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

2038 {
2039 check_context(a, b);
2040 Z3_ast r;
2041 if (a.is_arith()) {
2042 r = Z3_mk_ite(a.ctx(), Z3_mk_ge(a.ctx(), a, b), b, a);
2043 }
2044 else if (a.is_bv()) {
2045 r = Z3_mk_ite(a.ctx(), Z3_mk_bvuge(a.ctx(), a, b), b, a);
2046 }
2047 else {
2048 assert(a.is_fpa());
2049 r = Z3_mk_fpa_min(a.ctx(), a, b);
2050 }
2051 a.check_error();
2052 return expr(a.ctx(), r);
2053 }
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)
inline

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

2642 {
2643 array<Z3_ast> _args(args);
2644 Z3_ast r = Z3_mk_and(args.ctx(), _args.size(), _args.ptr());
2645 args.check_error();
2646 return expr(args.ctx(), r);
2647 }
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)
inline

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

2636 {
2637 array<Z3_ast> _args(args);
2638 Z3_ast r = Z3_mk_or(args.ctx(), _args.size(), _args.ptr());
2639 args.check_error();
2640 return expr(args.ctx(), r);
2641 }
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)
inline

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

2648 {
2649 if (args.empty())
2650 return args.ctx().bool_val(false);
2651 expr r = args[0u];
2652 for (unsigned i = 1; i < args.size(); ++i)
2653 r = r ^ args[i];
2654 return r;
2655 }

◆ mod() [1/3]

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

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

1728 {
1729 if (a.is_bv()) {
1731 }
1732 else {
1733 _Z3_MK_BIN_(a, b, Z3_mk_mod);
1734 }
1735 }
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).

Referenced by operator%(), operator%(), and operator%().

◆ mod() [2/3]

expr mod ( expr const a,
int  b 
)
inline

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

1736{ return mod(a, a.ctx().num_val(b, a.get_sort())); }
expr mod(expr const &a, expr const &b)
Definition z3++.h:1728

◆ mod() [3/3]

expr mod ( int  a,
expr const b 
)
inline

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

1737{ return mod(b.ctx().num_val(a, b.get_sort()), b); }

◆ nand()

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

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

2035{ if (a.is_bool()) return !(a && b); check_context(a, b); Z3_ast r = Z3_mk_bvnand(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r); }
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 
)
inline

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

2036{ if (a.is_bool()) return !(a || b); check_context(a, b); Z3_ast r = Z3_mk_bvnor(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r); }
Z3_ast Z3_API Z3_mk_bvnor(Z3_context c, Z3_ast t1, Z3_ast t2)
Bitwise nor.

◆ operator!() [1/2]

expr operator! ( expr const a)
inline
Precondition
a.is_bool()

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

1762{ 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!() [2/2]

probe operator! ( probe const p)
inline

Definition at line 3453 of file z3++.h.

3453 {
3454 Z3_probe r = Z3_probe_not(p.ctx(), p); p.check_error(); return probe(p.ctx(), r);
3455 }
Z3_probe Z3_API Z3_probe_not(Z3_context x, Z3_probe p)
Return a probe that evaluates to "true" when p does not evaluate to true.

◆ operator!=() [1/5]

expr operator!= ( double  a,
expr const b 
)
inline

Definition at line 1814 of file z3++.h.

1814{ assert(b.is_fpa()); return b.ctx().fpa_val(a) != b; }

◆ operator!=() [2/5]

expr operator!= ( expr const a,
double  b 
)
inline

Definition at line 1813 of file z3++.h.

1813{ assert(a.is_fpa()); return a != a.ctx().fpa_val(b); }

◆ operator!=() [3/5]

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

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

1804 {
1805 check_context(a, b);
1806 Z3_ast args[2] = { a, b };
1807 Z3_ast r = Z3_mk_distinct(a.ctx(), 2, args);
1808 a.check_error();
1809 return expr(a.ctx(), r);
1810 }

◆ operator!=() [4/5]

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

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

1811{ assert(a.is_arith() || a.is_bv() || a.is_fpa()); return a != a.ctx().num_val(b, a.get_sort()); }

◆ operator!=() [5/5]

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

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

1812{ 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 
)
inline

Definition at line 1739 of file z3++.h.

1739{ return mod(a, b); }

◆ operator%() [2/3]

expr operator% ( expr const a,
int  b 
)
inline

Definition at line 1740 of file z3++.h.

1740{ return mod(a, b); }

◆ operator%() [3/3]

expr operator% ( int  a,
expr const b 
)
inline

Definition at line 1741 of file z3++.h.

1741{ return mod(a, b); }

◆ operator&() [1/5]

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

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

2023{ if (a.is_bool()) return a && b; check_context(a, b); Z3_ast r = Z3_mk_bvand(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r); }
Z3_ast Z3_API Z3_mk_bvand(Z3_context c, Z3_ast t1, Z3_ast t2)
Bitwise and.

◆ operator&() [2/5]

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

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

2024{ return a & a.ctx().num_val(b, a.get_sort()); }

◆ operator&() [3/5]

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

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

2025{ return b.ctx().num_val(a, b.get_sort()) & b; }

◆ operator&() [4/5]

simplifier operator& ( simplifier const t1,
simplifier const t2 
)
inline

Definition at line 3367 of file z3++.h.

3367 {
3369 Z3_simplifier r = Z3_simplifier_and_then(t1.ctx(), t1, t2);
3370 t1.check_error();
3371 return simplifier(t1.ctx(), r);
3372 }
Z3_simplifier Z3_API Z3_simplifier_and_then(Z3_context c, Z3_simplifier t1, Z3_simplifier t2)
Return a simplifier that applies t1 to a given goal and t2 to every subgoal produced by t1.

◆ operator&() [5/5]

tactic operator& ( tactic const t1,
tactic const t2 
)
inline

Definition at line 3293 of file z3++.h.

3293 {
3295 Z3_tactic r = Z3_tactic_and_then(t1.ctx(), t1, t2);
3296 t1.check_error();
3297 return tactic(t1.ctx(), r);
3298 }
Z3_tactic Z3_API Z3_tactic_and_then(Z3_context c, Z3_tactic t1, Z3_tactic t2)
Return a tactic that applies t1 to a given goal and t2 to every subgoal produced by t1.

◆ operator&&() [1/4]

expr operator&& ( bool  a,
expr const b 
)
inline
Precondition
b.is_bool()

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

1778{ return b.ctx().bool_val(a) && b; }

◆ operator&&() [2/4]

expr operator&& ( expr const a,
bool  b 
)
inline
Precondition
a.is_bool()

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

1777{ return a && a.ctx().bool_val(b); }

◆ operator&&() [3/4]

expr operator&& ( expr const a,
expr const b 
)
inline
Precondition
a.is_bool()
b.is_bool()

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

1768 {
1769 check_context(a, b);
1770 assert(a.is_bool() && b.is_bool());
1771 Z3_ast args[2] = { a, b };
1772 Z3_ast r = Z3_mk_and(a.ctx(), 2, args);
1773 a.check_error();
1774 return expr(a.ctx(), r);
1775 }

◆ operator&&() [4/4]

probe operator&& ( probe const p1,
probe const p2 
)
inline

Definition at line 3447 of file z3++.h.

3447 {
3448 check_context(p1, p2); Z3_probe r = Z3_probe_and(p1.ctx(), p1, p2); p1.check_error(); return probe(p1.ctx(), r);
3449 }
Z3_probe Z3_API Z3_probe_and(Z3_context x, Z3_probe p1, Z3_probe p2)
Return a probe that evaluates to "true" when p1 and p2 evaluates to true.

◆ operator*() [1/3]

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

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

1846 {
1847 check_context(a, b);
1848 Z3_ast r = 0;
1849 if (a.is_arith() && b.is_arith()) {
1850 Z3_ast args[2] = { a, b };
1851 r = Z3_mk_mul(a.ctx(), 2, args);
1852 }
1853 else if (a.is_bv() && b.is_bv()) {
1854 r = Z3_mk_bvmul(a.ctx(), a, b);
1855 }
1856 else if (a.is_fpa() && b.is_fpa()) {
1857 r = Z3_mk_fpa_mul(a.ctx(), a.ctx().fpa_rounding_mode(), a, b);
1858 }
1859 else {
1860 // operator is not supported by given arguments.
1861 assert(false);
1862 }
1863 a.check_error();
1864 return expr(a.ctx(), r);
1865 }
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 
)
inline

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

1866{ return a * a.ctx().num_val(b, a.get_sort()); }

◆ operator*() [3/3]

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

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

1867{ return b.ctx().num_val(a, b.get_sort()) * b; }

◆ operator+() [1/3]

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

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

1816 {
1817 check_context(a, b);
1818 Z3_ast r = 0;
1819 if (a.is_arith() && b.is_arith()) {
1820 Z3_ast args[2] = { a, b };
1821 r = Z3_mk_add(a.ctx(), 2, args);
1822 }
1823 else if (a.is_bv() && b.is_bv()) {
1824 r = Z3_mk_bvadd(a.ctx(), a, b);
1825 }
1826 else if (a.is_seq() && b.is_seq()) {
1827 return concat(a, b);
1828 }
1829 else if (a.is_re() && b.is_re()) {
1830 Z3_ast _args[2] = { a, b };
1831 r = Z3_mk_re_union(a.ctx(), 2, _args);
1832 }
1833 else if (a.is_fpa() && b.is_fpa()) {
1834 r = Z3_mk_fpa_add(a.ctx(), a.ctx().fpa_rounding_mode(), a, b);
1835 }
1836 else {
1837 // operator is not supported by given arguments.
1838 assert(false);
1839 }
1840 a.check_error();
1841 return expr(a.ctx(), r);
1842 }
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].
expr concat(expr const &a, expr const &b)
Definition z3++.h:2564

◆ operator+() [2/3]

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

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

1843{ return a + a.ctx().num_val(b, a.get_sort()); }

◆ operator+() [3/3]

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

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

1844{ return b.ctx().num_val(a, b.get_sort()) + b; }

◆ operator-() [1/4]

expr operator- ( expr const a)
inline

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

1912 {
1913 Z3_ast r = 0;
1914 if (a.is_arith()) {
1915 r = Z3_mk_unary_minus(a.ctx(), a);
1916 }
1917 else if (a.is_bv()) {
1918 r = Z3_mk_bvneg(a.ctx(), a);
1919 }
1920 else if (a.is_fpa()) {
1921 r = Z3_mk_fpa_neg(a.ctx(), a);
1922 }
1923 else {
1924 // operator is not supported by given arguments.
1925 assert(false);
1926 }
1927 a.check_error();
1928 return expr(a.ctx(), r);
1929 }
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 
)
inline

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

1931 {
1932 check_context(a, b);
1933 Z3_ast r = 0;
1934 if (a.is_arith() && b.is_arith()) {
1935 Z3_ast args[2] = { a, b };
1936 r = Z3_mk_sub(a.ctx(), 2, args);
1937 }
1938 else if (a.is_bv() && b.is_bv()) {
1939 r = Z3_mk_bvsub(a.ctx(), a, b);
1940 }
1941 else if (a.is_fpa() && b.is_fpa()) {
1942 r = Z3_mk_fpa_sub(a.ctx(), a.ctx().fpa_rounding_mode(), a, b);
1943 }
1944 else {
1945 // operator is not supported by given arguments.
1946 assert(false);
1947 }
1948 a.check_error();
1949 return expr(a.ctx(), r);
1950 }
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 
)
inline

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

1951{ return a - a.ctx().num_val(b, a.get_sort()); }

◆ operator-() [4/4]

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

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

1952{ return b.ctx().num_val(a, b.get_sort()) - b; }

◆ operator/() [1/3]

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

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

1890 {
1891 check_context(a, b);
1892 Z3_ast r = 0;
1893 if (a.is_arith() && b.is_arith()) {
1894 r = Z3_mk_div(a.ctx(), a, b);
1895 }
1896 else if (a.is_bv() && b.is_bv()) {
1897 r = Z3_mk_bvsdiv(a.ctx(), a, b);
1898 }
1899 else if (a.is_fpa() && b.is_fpa()) {
1900 r = Z3_mk_fpa_div(a.ctx(), a.ctx().fpa_rounding_mode(), a, b);
1901 }
1902 else {
1903 // operator is not supported by given arguments.
1904 assert(false);
1905 }
1906 a.check_error();
1907 return expr(a.ctx(), r);
1908 }
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 
)
inline

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

1909{ return a / a.ctx().num_val(b, a.get_sort()); }

◆ operator/() [3/3]

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

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

1910{ return b.ctx().num_val(a, b.get_sort()) / b; }

◆ operator<() [1/6]

probe operator< ( double  p1,
probe const p2 
)
inline

Definition at line 3436 of file z3++.h.

3436{ return probe(p2.ctx(), p1) < p2; }

◆ operator<() [2/6]

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

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

1979 {
1980 check_context(a, b);
1981 Z3_ast r = 0;
1982 if (a.is_arith() && b.is_arith()) {
1983 r = Z3_mk_lt(a.ctx(), a, b);
1984 }
1985 else if (a.is_bv() && b.is_bv()) {
1986 r = Z3_mk_bvslt(a.ctx(), a, b);
1987 }
1988 else if (a.is_fpa() && b.is_fpa()) {
1989 r = Z3_mk_fpa_lt(a.ctx(), a, b);
1990 }
1991 else {
1992 // operator is not supported by given arguments.
1993 assert(false);
1994 }
1995 a.check_error();
1996 return expr(a.ctx(), r);
1997 }
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<() [3/6]

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

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

1998{ return a < a.ctx().num_val(b, a.get_sort()); }

◆ operator<() [4/6]

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

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

1999{ return b.ctx().num_val(a, b.get_sort()) < b; }

◆ operator<() [5/6]

probe operator< ( probe const p1,
double  p2 
)
inline

Definition at line 3435 of file z3++.h.

3435{ return p1 < probe(p1.ctx(), p2); }

◆ operator<() [6/6]

probe operator< ( probe const p1,
probe const p2 
)
inline

Definition at line 3432 of file z3++.h.

3432 {
3433 check_context(p1, p2); Z3_probe r = Z3_probe_lt(p1.ctx(), p1, p2); p1.check_error(); return probe(p1.ctx(), r);
3434 }
Z3_probe Z3_API Z3_probe_lt(Z3_context x, Z3_probe p1, Z3_probe p2)
Return a probe that evaluates to "true" when the value returned by p1 is less than the value returned...

◆ operator<<() [1/13]

std::ostream & operator<< ( std::ostream &  out,
apply_result const r 
)
inline

Definition at line 3251 of file z3++.h.

3251{ out << Z3_apply_result_to_string(r.ctx(), r); return out; }
Z3_string Z3_API Z3_apply_result_to_string(Z3_context c, Z3_apply_result r)
Convert the Z3_apply_result object returned by Z3_tactic_apply into a string.

◆ operator<<() [2/13]

std::ostream & operator<< ( std::ostream &  out,
ast const n 
)
inline

Definition at line 646 of file z3++.h.

646 {
647 out << Z3_ast_to_string(n.ctx(), n.m_ast); return out;
648 }
Z3_string Z3_API Z3_ast_to_string(Z3_context c, Z3_ast a)
Convert the given AST node into a string.

◆ operator<<() [3/13]

std::ostream & operator<< ( std::ostream &  out,
check_result  r 
)
inline

Definition at line 2847 of file z3++.h.

2847 {
2848 if (r == unsat) out << "unsat";
2849 else if (r == sat) out << "sat";
2850 else out << "unknown";
2851 return out;
2852 }

◆ operator<<() [4/13]

std::ostream & operator<< ( std::ostream &  out,
exception const e 
)
inline

Definition at line 128 of file z3++.h.

128{ out << e.msg(); return out; }

◆ operator<<() [5/13]

std::ostream & operator<< ( std::ostream &  out,
fixedpoint const f 
)
inline

Definition at line 3635 of file z3++.h.

3635{ return out << Z3_fixedpoint_to_string(f.ctx(), f, 0, 0); }
Z3_string Z3_API Z3_fixedpoint_to_string(Z3_context c, Z3_fixedpoint f, unsigned num_queries, Z3_ast queries[])
Print the current rules and background axioms as a string.

◆ operator<<() [6/13]

std::ostream & operator<< ( std::ostream &  out,
goal const g 
)
inline

Definition at line 3227 of file z3++.h.

3227{ out << Z3_goal_to_string(g.ctx(), g); return out; }
Z3_string Z3_API Z3_goal_to_string(Z3_context c, Z3_goal g)
Convert a goal into a string.

◆ operator<<() [7/13]

std::ostream & operator<< ( std::ostream &  out,
model const m 
)
inline

Definition at line 2815 of file z3++.h.

2815{ return out << m.to_string(); }

◆ operator<<() [8/13]

std::ostream & operator<< ( std::ostream &  out,
optimize const s 
)
inline

Definition at line 3577 of file z3++.h.

3577{ out << Z3_optimize_to_string(s.ctx(), s.m_opt); return out; }
Z3_string Z3_API Z3_optimize_to_string(Z3_context c, Z3_optimize o)
Print the current context as a string.

◆ operator<<() [9/13]

std::ostream & operator<< ( std::ostream &  out,
param_descrs const d 
)
inline

Definition at line 589 of file z3++.h.

589{ return out << d.to_string(); }

◆ operator<<() [10/13]

std::ostream & operator<< ( std::ostream &  out,
params const p 
)
inline

Definition at line 613 of file z3++.h.

613 {
614 out << Z3_params_to_string(p.ctx(), p); return out;
615 }
Z3_string Z3_API Z3_params_to_string(Z3_context c, Z3_params p)
Convert a parameter set into a string. This function is mainly used for printing the contents of a pa...

◆ operator<<() [11/13]

std::ostream & operator<< ( std::ostream &  out,
solver const s 
)
inline

Definition at line 3168 of file z3++.h.

3168{ out << Z3_solver_to_string(s.ctx(), s); return out; }
Z3_string Z3_API Z3_solver_to_string(Z3_context c, Z3_solver s)
Convert a solver into a string.

◆ operator<<() [12/13]

std::ostream & operator<< ( std::ostream &  out,
stats const s 
)
inline

Definition at line 2844 of file z3++.h.

2844{ out << Z3_stats_to_string(s.ctx(), s); return out; }
Z3_string Z3_API Z3_stats_to_string(Z3_context c, Z3_stats s)
Convert a statistics into a string.

◆ operator<<() [13/13]

std::ostream & operator<< ( std::ostream &  out,
symbol const s 
)
inline

Definition at line 557 of file z3++.h.

557 {
558 if (s.kind() == Z3_INT_SYMBOL)
559 out << "k!" << s.to_int();
560 else
561 out << s.str();
562 return out;
563 }
@ Z3_INT_SYMBOL
Definition z3_api.h:73

◆ operator<=() [1/6]

probe operator<= ( double  p1,
probe const p2 
)
inline

Definition at line 3426 of file z3++.h.

3426{ return probe(p2.ctx(), p1) <= p2; }

◆ operator<=() [2/6]

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

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

1954 {
1955 check_context(a, b);
1956 Z3_ast r = 0;
1957 if (a.is_arith() && b.is_arith()) {
1958 r = Z3_mk_le(a.ctx(), a, b);
1959 }
1960 else if (a.is_bv() && b.is_bv()) {
1961 r = Z3_mk_bvsle(a.ctx(), a, b);
1962 }
1963 else if (a.is_fpa() && b.is_fpa()) {
1964 r = Z3_mk_fpa_leq(a.ctx(), a, b);
1965 }
1966 else {
1967 // operator is not supported by given arguments.
1968 assert(false);
1969 }
1970 a.check_error();
1971 return expr(a.ctx(), r);
1972 }
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<=() [3/6]

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

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

1973{ return a <= a.ctx().num_val(b, a.get_sort()); }

◆ operator<=() [4/6]

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

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

1974{ return b.ctx().num_val(a, b.get_sort()) <= b; }

◆ operator<=() [5/6]

probe operator<= ( probe const p1,
double  p2 
)
inline

Definition at line 3425 of file z3++.h.

3425{ return p1 <= probe(p1.ctx(), p2); }

◆ operator<=() [6/6]

probe operator<= ( probe const p1,
probe const p2 
)
inline

Definition at line 3422 of file z3++.h.

3422 {
3423 check_context(p1, p2); Z3_probe r = Z3_probe_le(p1.ctx(), p1, p2); p1.check_error(); return probe(p1.ctx(), r);
3424 }
Z3_probe Z3_API Z3_probe_le(Z3_context x, Z3_probe p1, Z3_probe p2)
Return a probe that evaluates to "true" when the value returned by p1 is less than or equal to the va...

◆ operator==() [1/8]

expr operator== ( double  a,
expr const b 
)
inline

Definition at line 1802 of file z3++.h.

1802{ assert(b.is_fpa()); return b.ctx().fpa_val(a) == b; }

◆ operator==() [2/8]

probe operator== ( double  p1,
probe const p2 
)
inline

Definition at line 3446 of file z3++.h.

3446{ return probe(p2.ctx(), p1) == p2; }

◆ operator==() [3/8]

expr operator== ( expr const a,
double  b 
)
inline

Definition at line 1801 of file z3++.h.

1801{ assert(a.is_fpa()); return a == a.ctx().fpa_val(b); }

◆ operator==() [4/8]

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

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

1793 {
1794 check_context(a, b);
1795 Z3_ast r = Z3_mk_eq(a.ctx(), a, b);
1796 a.check_error();
1797 return expr(a.ctx(), r);
1798 }
Z3_ast Z3_API Z3_mk_eq(Z3_context c, Z3_ast l, Z3_ast r)
Create an AST node representing l = r.

◆ operator==() [5/8]

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

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

1799{ assert(a.is_arith() || a.is_bv() || a.is_fpa()); return a == a.ctx().num_val(b, a.get_sort()); }

◆ operator==() [6/8]

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

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

1800{ assert(b.is_arith() || b.is_bv() || b.is_fpa()); return b.ctx().num_val(a, b.get_sort()) == b; }

◆ operator==() [7/8]

probe operator== ( probe const p1,
double  p2 
)
inline

Definition at line 3445 of file z3++.h.

3445{ return p1 == probe(p1.ctx(), p2); }

◆ operator==() [8/8]

probe operator== ( probe const p1,
probe const p2 
)
inline

Definition at line 3442 of file z3++.h.

3442 {
3443 check_context(p1, p2); Z3_probe r = Z3_probe_eq(p1.ctx(), p1, p2); p1.check_error(); return probe(p1.ctx(), r);
3444 }
Z3_probe Z3_API Z3_probe_eq(Z3_context x, Z3_probe p1, Z3_probe p2)
Return a probe that evaluates to "true" when the value returned by p1 is equal to the value returned ...

◆ operator>() [1/6]

probe operator> ( double  p1,
probe const p2 
)
inline

Definition at line 3441 of file z3++.h.

3441{ return probe(p2.ctx(), p1) > p2; }

◆ operator>() [2/6]

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

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

2001 {
2002 check_context(a, b);
2003 Z3_ast r = 0;
2004 if (a.is_arith() && b.is_arith()) {
2005 r = Z3_mk_gt(a.ctx(), a, b);
2006 }
2007 else if (a.is_bv() && b.is_bv()) {
2008 r = Z3_mk_bvsgt(a.ctx(), a, b);
2009 }
2010 else if (a.is_fpa() && b.is_fpa()) {
2011 r = Z3_mk_fpa_gt(a.ctx(), a, b);
2012 }
2013 else {
2014 // operator is not supported by given arguments.
2015 assert(false);
2016 }
2017 a.check_error();
2018 return expr(a.ctx(), r);
2019 }
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>() [3/6]

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

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

2020{ return a > a.ctx().num_val(b, a.get_sort()); }

◆ operator>() [4/6]

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

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

2021{ return b.ctx().num_val(a, b.get_sort()) > b; }

◆ operator>() [5/6]

probe operator> ( probe const p1,
double  p2 
)
inline

Definition at line 3440 of file z3++.h.

3440{ return p1 > probe(p1.ctx(), p2); }

◆ operator>() [6/6]

probe operator> ( probe const p1,
probe const p2 
)
inline

Definition at line 3437 of file z3++.h.

3437 {
3438 check_context(p1, p2); Z3_probe r = Z3_probe_gt(p1.ctx(), p1, p2); p1.check_error(); return probe(p1.ctx(), r);
3439 }
Z3_probe Z3_API Z3_probe_gt(Z3_context x, Z3_probe p1, Z3_probe p2)
Return a probe that evaluates to "true" when the value returned by p1 is greater than the value retur...

◆ operator>=() [1/6]

probe operator>= ( double  p1,
probe const p2 
)
inline

Definition at line 3431 of file z3++.h.

3431{ return probe(p2.ctx(), p1) >= p2; }

◆ operator>=() [2/6]

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

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

1870 {
1871 check_context(a, b);
1872 Z3_ast r = 0;
1873 if (a.is_arith() && b.is_arith()) {
1874 r = Z3_mk_ge(a.ctx(), a, b);
1875 }
1876 else if (a.is_bv() && b.is_bv()) {
1877 r = Z3_mk_bvsge(a.ctx(), a, b);
1878 }
1879 else if (a.is_fpa() && b.is_fpa()) {
1880 r = Z3_mk_fpa_geq(a.ctx(), a, b);
1881 }
1882 else {
1883 // operator is not supported by given arguments.
1884 assert(false);
1885 }
1886 a.check_error();
1887 return expr(a.ctx(), r);
1888 }
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>=() [3/6]

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

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

1976{ return a >= a.ctx().num_val(b, a.get_sort()); }

◆ operator>=() [4/6]

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

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

1977{ return b.ctx().num_val(a, b.get_sort()) >= b; }

◆ operator>=() [5/6]

probe operator>= ( probe const p1,
double  p2 
)
inline

Definition at line 3430 of file z3++.h.

3430{ return p1 >= probe(p1.ctx(), p2); }

◆ operator>=() [6/6]

probe operator>= ( probe const p1,
probe const p2 
)
inline

Definition at line 3427 of file z3++.h.

3427 {
3428 check_context(p1, p2); Z3_probe r = Z3_probe_ge(p1.ctx(), p1, p2); p1.check_error(); return probe(p1.ctx(), r);
3429 }
Z3_probe Z3_API Z3_probe_ge(Z3_context x, Z3_probe p1, Z3_probe p2)
Return a probe that evaluates to "true" when the value returned by p1 is greater than or equal to the...

◆ operator^() [1/3]

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

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

2027{ check_context(a, b); Z3_ast r = a.is_bool() ? Z3_mk_xor(a.ctx(), a, b) : Z3_mk_bvxor(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r); }
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 
)
inline

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

2028{ return a ^ a.ctx().num_val(b, a.get_sort()); }

◆ operator^() [3/3]

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

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

2029{ return b.ctx().num_val(a, b.get_sort()) ^ b; }

◆ operator|() [1/4]

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

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

2031{ if (a.is_bool()) return a || b; check_context(a, b); Z3_ast r = Z3_mk_bvor(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r); }
Z3_ast Z3_API Z3_mk_bvor(Z3_context c, Z3_ast t1, Z3_ast t2)
Bitwise or.

◆ operator|() [2/4]

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

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

2032{ return a | a.ctx().num_val(b, a.get_sort()); }

◆ operator|() [3/4]

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

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

2033{ return b.ctx().num_val(a, b.get_sort()) | b; }

◆ operator|() [4/4]

tactic operator| ( tactic const t1,
tactic const t2 
)
inline

Definition at line 3300 of file z3++.h.

3300 {
3302 Z3_tactic r = Z3_tactic_or_else(t1.ctx(), t1, t2);
3303 t1.check_error();
3304 return tactic(t1.ctx(), r);
3305 }
Z3_tactic Z3_API Z3_tactic_or_else(Z3_context c, Z3_tactic t1, Z3_tactic t2)
Return a tactic that first applies t1 to a given goal, if it fails then returns the result of t2 appl...

◆ operator||() [1/4]

expr operator|| ( bool  a,
expr const b 
)
inline
Precondition
b.is_bool()

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

1791{ return b.ctx().bool_val(a) || b; }

◆ operator||() [2/4]

expr operator|| ( expr const a,
bool  b 
)
inline
Precondition
a.is_bool()

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

1789{ return a || a.ctx().bool_val(b); }

◆ operator||() [3/4]

expr operator|| ( expr const a,
expr const b 
)
inline
Precondition
a.is_bool()
b.is_bool()

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

1780 {
1781 check_context(a, b);
1782 assert(a.is_bool() && b.is_bool());
1783 Z3_ast args[2] = { a, b };
1784 Z3_ast r = Z3_mk_or(a.ctx(), 2, args);
1785 a.check_error();
1786 return expr(a.ctx(), r);
1787 }

◆ operator||() [4/4]

probe operator|| ( probe const p1,
probe const p2 
)
inline

Definition at line 3450 of file z3++.h.

3450 {
3451 check_context(p1, p2); Z3_probe r = Z3_probe_or(p1.ctx(), p1, p2); p1.check_error(); return probe(p1.ctx(), r);
3452 }
Z3_probe Z3_API Z3_probe_or(Z3_context x, Z3_probe p1, Z3_probe p2)
Return a probe that evaluates to "true" when p1 or p2 evaluates to true.

◆ operator~()

expr operator~ ( expr const a)
inline

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

2116{ 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.

◆ option()

expr option ( expr const re)
inline

Definition at line 4309 of file z3++.h.

4309 {
4311 }
Z3_ast Z3_API Z3_mk_re_option(Z3_context c, Z3_ast re)
Create the regular language [re].

◆ par_and_then()

tactic par_and_then ( tactic const t1,
tactic const t2 
)
inline

Definition at line 3332 of file z3++.h.

3332 {
3334 Z3_tactic r = Z3_tactic_par_and_then(t1.ctx(), t1, t2);
3335 t1.check_error();
3336 return tactic(t1.ctx(), r);
3337 }
Z3_tactic Z3_API Z3_tactic_par_and_then(Z3_context c, Z3_tactic t1, Z3_tactic t2)
Return a tactic that applies t1 to a given goal and then t2 to every subgoal produced by t1....

◆ par_or()

tactic par_or ( unsigned  n,
tactic const tactics 
)
inline

Definition at line 3323 of file z3++.h.

3323 {
3324 if (n == 0) {
3325 Z3_THROW(exception("a non-zero number of tactics need to be passed to par_or"));
3326 }
3327 array<Z3_tactic> buffer(n);
3328 for (unsigned i = 0; i < n; ++i) buffer[i] = tactics[i];
3329 return tactic(tactics[0u].ctx(), Z3_tactic_par_or(tactics[0u].ctx(), n, buffer.ptr()));
3330 }
Exception used to sign API usage errors.
Definition z3++.h:119
Z3_tactic Z3_API Z3_tactic_par_or(Z3_context c, unsigned num, Z3_tactic const ts[])
Return a tactic that applies the given tactics in parallel.
#define Z3_THROW(x)
Definition z3++.h:134

◆ partial_order()

func_decl partial_order ( sort const a,
unsigned  index 
)
inline

Definition at line 2368 of file z3++.h.

2368 {
2369 return to_func_decl(a.ctx(), Z3_mk_partial_order(a.ctx(), a, index));
2370 }
Z3_func_decl Z3_API Z3_mk_partial_order(Z3_context c, Z3_sort a, unsigned id)
create a partial ordering relation over signature a and index id.

◆ pbeq()

expr pbeq ( expr_vector const es,
int const coeffs,
int  bound 
)
inline

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

2522 {
2523 assert(es.size() > 0);
2524 context& ctx = es[0u].ctx();
2526 Z3_ast r = Z3_mk_pbeq(ctx, _es.size(), _es.ptr(), coeffs, bound);
2527 ctx.check_error();
2528 return expr(ctx, r);
2529 }
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 
)
inline

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

2514 {
2515 assert(es.size() > 0);
2516 context& ctx = es[0u].ctx();
2518 Z3_ast r = Z3_mk_pbge(ctx, _es.size(), _es.ptr(), coeffs, bound);
2519 ctx.check_error();
2520 return expr(ctx, r);
2521 }
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 
)
inline

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

2506 {
2507 assert(es.size() > 0);
2508 context& ctx = es[0u].ctx();
2510 Z3_ast r = Z3_mk_pble(ctx, _es.size(), _es.ptr(), coeffs, bound);
2511 ctx.check_error();
2512 return expr(ctx, r);
2513 }
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.

◆ piecewise_linear_order()

func_decl piecewise_linear_order ( sort const a,
unsigned  index 
)
inline

Definition at line 2371 of file z3++.h.

2371 {
2372 return to_func_decl(a.ctx(), Z3_mk_piecewise_linear_order(a.ctx(), a, index));
2373 }
Z3_func_decl Z3_API Z3_mk_piecewise_linear_order(Z3_context c, Z3_sort a, unsigned id)
create a piecewise linear ordering relation over signature a and index id.

◆ plus()

expr plus ( expr const re)
inline

Definition at line 4306 of file z3++.h.

4306 {
4308 }
Z3_ast Z3_API Z3_mk_re_plus(Z3_context c, Z3_ast re)
Create the regular language re+.

◆ polynomial_subresultants()

expr_vector polynomial_subresultants ( expr const p,
expr const q,
expr const x 
)
inline

Return the nonzero subresultants of p and q with respect to the "variable" x.

Precondition
p, q and x are Z3 expressions where p and q are arithmetic terms. Note that, any subterm that cannot be viewed as a polynomial is assumed to be a variable.

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

2384 {
2385 check_context(p, q); check_context(p, x);
2386 Z3_ast_vector r = Z3_polynomial_subresultants(p.ctx(), p, q, x);
2387 p.check_error();
2388 return expr_vector(p.ctx(), r);
2389 }
Z3_ast_vector Z3_API Z3_polynomial_subresultants(Z3_context c, Z3_ast p, Z3_ast q, Z3_ast x)
Return the nonzero subresultants of p and q with respect to the "variable" x.

◆ prefixof()

expr prefixof ( expr const a,
expr const b 
)
inline

Definition at line 4282 of file z3++.h.

4282 {
4283 check_context(a, b);
4284 Z3_ast r = Z3_mk_seq_prefix(a.ctx(), a, b);
4285 a.check_error();
4286 return expr(a.ctx(), r);
4287 }
Z3_ast Z3_API Z3_mk_seq_prefix(Z3_context c, Z3_ast prefix, Z3_ast s)
Check if prefix is a prefix of s.

◆ pw() [1/3]

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

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

1724{ _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 
)
inline

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

1725{ return pw(a, a.ctx().num_val(b, a.get_sort())); }
expr pw(expr const &a, expr const &b)
Definition z3++.h:1724

◆ pw() [3/3]

expr pw ( int  a,
expr const b 
)
inline

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

1726{ return pw(b.ctx().num_val(a, b.get_sort()), b); }

◆ range()

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

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

4343 {
4344 check_context(lo, hi);
4345 Z3_ast r = Z3_mk_re_range(lo.ctx(), lo, hi);
4346 lo.check_error();
4347 return expr(lo.ctx(), r);
4348 }
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.

Referenced by context::function(), function(), context::function(), function(), context::function(), function(), context::function(), function(), context::function(), function(), context::function(), function(), context::function(), function(), function(), context::function(), context::function(), function(), context::recfun(), recfun(), recfun(), context::recfun(), context::recfun(), context::recfun(), recfun(), context::recfun(), context::recfun(), recfun(), and context::user_propagate_function().

◆ rcf_e()

rcf_num rcf_e ( context c)
inline

Create an RCF numeral representing e (Euler's constant).

Definition at line 4996 of file z3++.h.

4996 {
4997 return rcf_num(c, Z3_rcf_mk_e(c));
4998 }
Wrapper for Z3 Real Closed Field (RCF) numerals.
Definition z3++.h:4829
Z3_rcf_num Z3_API Z3_rcf_mk_e(Z3_context c)
Return e (Euler's constant)

◆ rcf_infinitesimal()

rcf_num rcf_infinitesimal ( context c)
inline

Create an RCF numeral representing an infinitesimal.

Definition at line 5003 of file z3++.h.

5003 {
5004 return rcf_num(c, Z3_rcf_mk_infinitesimal(c));
5005 }
Z3_rcf_num Z3_API Z3_rcf_mk_infinitesimal(Z3_context c)
Return a new infinitesimal that is smaller than all elements in the Z3 field.

◆ rcf_pi()

rcf_num rcf_pi ( context c)
inline

Create an RCF numeral representing pi.

Definition at line 4989 of file z3++.h.

4989 {
4990 return rcf_num(c, Z3_rcf_mk_pi(c));
4991 }
Z3_rcf_num Z3_API Z3_rcf_mk_pi(Z3_context c)
Return Pi.

◆ rcf_roots()

std::vector< rcf_num > rcf_roots ( context c,
std::vector< rcf_num > const coeffs 
)
inline

Find roots of a polynomial with given coefficients.

The polynomial is a[n-1]*x^(n-1) + ... + a[1]*x + a[0]. Returns a vector of RCF numerals representing the roots.

Definition at line 5013 of file z3++.h.

5013 {
5014 if (coeffs.empty()) {
5015 throw exception("polynomial coefficients cannot be empty");
5016 }
5017
5018 unsigned n = static_cast<unsigned>(coeffs.size());
5019 std::vector<Z3_rcf_num> a(n);
5020 std::vector<Z3_rcf_num> roots(n);
5021
5022 for (unsigned i = 0; i < n; ++i) {
5023 a[i] = coeffs[i];
5024 }
5025
5026 unsigned num_roots = Z3_rcf_mk_roots(c, n, a.data(), roots.data());
5027
5028 std::vector<rcf_num> result;
5029 result.reserve(num_roots);
5030 for (unsigned i = 0; i < num_roots; ++i) {
5031 result.push_back(rcf_num(c, roots[i]));
5032 }
5033
5034 return result;
5035 }
unsigned Z3_API Z3_rcf_mk_roots(Z3_context c, unsigned n, Z3_rcf_num const a[], Z3_rcf_num roots[])
Store in roots the roots of the polynomial a[n-1]*x^{n-1} + ... + a[0]. The output vector roots must ...

◆ re_complement()

expr re_complement ( expr const a)
inline

Definition at line 4340 of file z3++.h.

4340 {
4342 }
Z3_ast Z3_API Z3_mk_re_complement(Z3_context c, Z3_ast re)
Create the complement of the regular language re.

◆ re_diff()

expr re_diff ( expr const a,
expr const b 
)
inline

Definition at line 4333 of file z3++.h.

4333 {
4334 check_context(a, b);
4335 context& ctx = a.ctx();
4336 Z3_ast r = Z3_mk_re_diff(ctx, a, b);
4337 ctx.check_error();
4338 return expr(ctx, r);
4339 }
Z3_ast Z3_API Z3_mk_re_diff(Z3_context c, Z3_ast re1, Z3_ast re2)
Create the difference of regular expressions.

◆ re_empty()

expr re_empty ( sort const s)
inline

Definition at line 4315 of file z3++.h.

4315 {
4316 Z3_ast r = Z3_mk_re_empty(s.ctx(), s);
4317 s.check_error();
4318 return expr(s.ctx(), r);
4319 }
Z3_ast Z3_API Z3_mk_re_empty(Z3_context c, Z3_sort re)
Create an empty regular expression of sort re.

◆ re_full()

expr re_full ( sort const s)
inline

Definition at line 4320 of file z3++.h.

4320 {
4321 Z3_ast r = Z3_mk_re_full(s.ctx(), s);
4322 s.check_error();
4323 return expr(s.ctx(), r);
4324 }
Z3_ast Z3_API Z3_mk_re_full(Z3_context c, Z3_sort re)
Create an universal regular expression of sort re.

◆ re_intersect()

expr re_intersect ( expr_vector const args)
inline

Definition at line 4325 of file z3++.h.

4325 {
4326 assert(args.size() > 0);
4327 context& ctx = args[0u].ctx();
4328 array<Z3_ast> _args(args);
4329 Z3_ast r = Z3_mk_re_intersect(ctx, _args.size(), _args.ptr());
4330 ctx.check_error();
4331 return expr(ctx, r);
4332 }
Z3_ast Z3_API Z3_mk_re_intersect(Z3_context c, unsigned n, Z3_ast const args[])
Create the intersection of the regular languages.

◆ recfun() [1/4]

func_decl recfun ( char const name,
sort const d1,
sort const d2,
sort const range 
)
inline

Definition at line 4144 of file z3++.h.

4144 {
4145 return range.ctx().recfun(name, d1, d2, range);
4146 }
func_decl recfun(symbol const &name, unsigned arity, sort const *domain, sort const &range)
Definition z3++.h:3899

◆ recfun() [2/4]

func_decl recfun ( char const name,
sort const d1,
sort const range 
)
inline

Definition at line 4141 of file z3++.h.

4141 {
4142 return range.ctx().recfun(name, d1, range);
4143 }

◆ recfun() [3/4]

func_decl recfun ( char const name,
unsigned  arity,
sort const domain,
sort const range 
)
inline

Definition at line 4138 of file z3++.h.

4138 {
4139 return range.ctx().recfun(name, arity, domain, range);
4140 }

◆ recfun() [4/4]

func_decl recfun ( symbol const name,
unsigned  arity,
sort const domain,
sort const range 
)
inline

Definition at line 4135 of file z3++.h.

4135 {
4136 return range.ctx().recfun(name, arity, domain, range);
4137 }

◆ rem() [1/3]

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

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

1744 {
1745 if (a.is_fpa() && b.is_fpa()) {
1747 } else {
1748 _Z3_MK_BIN_(a, b, Z3_mk_rem);
1749 }
1750 }
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 
)
inline

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

1751{ return rem(a, a.ctx().num_val(b, a.get_sort())); }
expr rem(expr const &a, expr const &b)
Definition z3++.h:1744

◆ rem() [3/3]

expr rem ( int  a,
expr const b 
)
inline

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

1752{ return rem(b.ctx().num_val(a, b.get_sort()), b); }

◆ repeat()

tactic repeat ( tactic const t,
unsigned  max = UINT_MAX 
)
inline

Definition at line 3307 of file z3++.h.

3307 {
3308 Z3_tactic r = Z3_tactic_repeat(t.ctx(), t, max);
3309 t.check_error();
3310 return tactic(t.ctx(), r);
3311 }
Z3_tactic Z3_API Z3_tactic_repeat(Z3_context c, Z3_tactic t, unsigned max)
Return a tactic that keeps applying t until the goal is not modified anymore or the maximum number of...

◆ reset_params()

void reset_params ( )
inline

Definition at line 84 of file z3++.h.

void Z3_API Z3_global_param_reset_all(void)
Restore the value of all global (and module) parameters. This command will not affect already created...

◆ round_fpa_to_closest_integer()

expr round_fpa_to_closest_integer ( expr const t)
inline

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

2169 {
2170 assert(t.is_fpa());
2171 Z3_ast r = Z3_mk_fpa_round_to_integral(t.ctx(), t.ctx().fpa_rounding_mode(), t);
2172 t.check_error();
2173 return expr(t.ctx(), r);
2174 }
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 
)
inline

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

2148 {
2149 assert(t.is_bv());
2150 Z3_ast r = Z3_mk_fpa_to_fp_signed(t.ctx(), t.ctx().fpa_rounding_mode(), t, s);
2151 t.check_error();
2152 return expr(t.ctx(), r);
2153 }
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.

◆ sdiv() [1/3]

expr sdiv ( expr const a,
expr const b 
)
inline

signed division operator for bitvectors.

Definition at line 2267 of file z3++.h.

2267{ return to_expr(a.ctx(), Z3_mk_bvsdiv(a.ctx(), a, b)); }

Referenced by sdiv(), and sdiv().

◆ sdiv() [2/3]

expr sdiv ( expr const a,
int  b 
)
inline

Definition at line 2268 of file z3++.h.

2268{ return sdiv(a, a.ctx().num_val(b, a.get_sort())); }
expr sdiv(expr const &a, expr const &b)
signed division operator for bitvectors.
Definition z3++.h:2267

◆ sdiv() [3/3]

expr sdiv ( int  a,
expr const b 
)
inline

Definition at line 2269 of file z3++.h.

2269{ return sdiv(b.ctx().num_val(a, b.get_sort()), b); }

◆ select() [1/3]

expr select ( expr const a,
expr const i 
)
inline

forward declarations

Definition at line 4148 of file z3++.h.

4148 {
4149 check_context(a, i);
4150 Z3_ast r = Z3_mk_select(a.ctx(), a, i);
4151 a.check_error();
4152 return expr(a.ctx(), r);
4153 }
Z3_ast Z3_API Z3_mk_select(Z3_context c, Z3_ast a, Z3_ast i)
Array read. The argument a is the array and i is the index of the array that gets read.

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

◆ select() [2/3]

expr select ( expr const a,
expr_vector const i 
)
inline

Definition at line 4157 of file z3++.h.

4157 {
4158 check_context(a, i);
4160 Z3_ast r = Z3_mk_select_n(a.ctx(), a, idxs.size(), idxs.ptr());
4161 a.check_error();
4162 return expr(a.ctx(), r);
4163 }
Z3_ast Z3_API Z3_mk_select_n(Z3_context c, Z3_ast a, unsigned n, Z3_ast const *idxs)
n-ary Array read. The argument a is the array and idxs are the indices of the array that gets read.

◆ select() [3/3]

expr select ( expr const a,
int  i 
)
inline

Definition at line 4154 of file z3++.h.

4154 {
4155 return select(a, a.ctx().num_val(i, a.get_sort().array_domain()));
4156 }
expr select(expr const &a, expr const &i)
forward declarations
Definition z3++.h:4148

◆ set_add()

expr set_add ( expr const s,
expr const e 
)
inline

Definition at line 4227 of file z3++.h.

4227 {
4228 MK_EXPR2(Z3_mk_set_add, s, e);
4229 }
Z3_ast Z3_API Z3_mk_set_add(Z3_context c, Z3_ast set, Z3_ast elem)
Add an element to a set.

◆ set_complement()

expr set_complement ( expr const a)
inline

Definition at line 4255 of file z3++.h.

4255 {
4257 }
Z3_ast Z3_API Z3_mk_set_complement(Z3_context c, Z3_ast arg)
Take the complement of a set.

◆ set_del()

expr set_del ( expr const s,
expr const e 
)
inline

Definition at line 4231 of file z3++.h.

4231 {
4232 MK_EXPR2(Z3_mk_set_del, s, e);
4233 }
Z3_ast Z3_API Z3_mk_set_del(Z3_context c, Z3_ast set, Z3_ast elem)
Remove an element to a set.

◆ set_difference()

expr set_difference ( expr const a,
expr const b 
)
inline

Definition at line 4251 of file z3++.h.

4251 {
4253 }
Z3_ast Z3_API Z3_mk_set_difference(Z3_context c, Z3_ast arg1, Z3_ast arg2)
Take the set difference between two sets.

◆ set_intersect()

expr set_intersect ( expr const a,
expr const b 
)
inline

Definition at line 4243 of file z3++.h.

4243 {
4244 check_context(a, b);
4245 Z3_ast es[2] = { a, b };
4246 Z3_ast r = Z3_mk_set_intersect(a.ctx(), 2, es);
4247 a.check_error();
4248 return expr(a.ctx(), r);
4249 }
Z3_ast Z3_API Z3_mk_set_intersect(Z3_context c, unsigned num_args, Z3_ast const args[])
Take the intersection of a list of sets.

◆ set_member()

expr set_member ( expr const s,
expr const e 
)
inline

Definition at line 4259 of file z3++.h.

4259 {
4261 }
Z3_ast Z3_API Z3_mk_set_member(Z3_context c, Z3_ast elem, Z3_ast set)
Check for set membership.

◆ set_param() [1/3]

void set_param ( char const param,
bool  value 
)
inline

Definition at line 82 of file z3++.h.

82{ Z3_global_param_set(param, value ? "true" : "false"); }
void Z3_API Z3_global_param_set(Z3_string param_id, Z3_string param_value)
Set a global (or module) parameter. This setting is shared by all Z3 contexts.

◆ set_param() [2/3]

void set_param ( char const param,
char const value 
)
inline

Definition at line 81 of file z3++.h.

81{ Z3_global_param_set(param, value); }

◆ set_param() [3/3]

void set_param ( char const param,
int  value 
)
inline

Definition at line 83 of file z3++.h.

83{ auto str = std::to_string(value); Z3_global_param_set(param, str.c_str()); }

◆ set_subset()

expr set_subset ( expr const a,
expr const b 
)
inline

Definition at line 4263 of file z3++.h.

4263 {
4265 }
Z3_ast Z3_API Z3_mk_set_subset(Z3_context c, Z3_ast arg1, Z3_ast arg2)
Check for subsetness of sets.

◆ set_union()

expr set_union ( expr const a,
expr const b 
)
inline

Definition at line 4235 of file z3++.h.

4235 {
4236 check_context(a, b);
4237 Z3_ast es[2] = { a, b };
4238 Z3_ast r = Z3_mk_set_union(a.ctx(), 2, es);
4239 a.check_error();
4240 return expr(a.ctx(), r);
4241 }
Z3_ast Z3_API Z3_mk_set_union(Z3_context c, unsigned num_args, Z3_ast const args[])
Take the union of a list of sets.

◆ sext()

expr sext ( expr const a,
unsigned  i 
)
inline

Sign-extend of the given bit-vector to the (signed) equivalent bitvector of size m+i, where m is the size of the given bit-vector.

Definition at line 2363 of file z3++.h.

2363{ return to_expr(a.ctx(), Z3_mk_sign_ext(a.ctx(), i, a)); }
Z3_ast Z3_API Z3_mk_sign_ext(Z3_context c, unsigned i, Z3_ast t1)
Sign-extend of the given bit-vector to the (signed) equivalent bit-vector of size m+i,...

◆ sge() [1/3]

expr sge ( expr const a,
expr const b 
)
inline

signed greater than or equal to operator for bitvectors.

Definition at line 2228 of file z3++.h.

2228{ return to_expr(a.ctx(), Z3_mk_bvsge(a.ctx(), a, b)); }

Referenced by sge(), and sge().

◆ sge() [2/3]

expr sge ( expr const a,
int  b 
)
inline

Definition at line 2229 of file z3++.h.

2229{ return sge(a, a.ctx().num_val(b, a.get_sort())); }
expr sge(expr const &a, expr const &b)
signed greater than or equal to operator for bitvectors.
Definition z3++.h:2228

◆ sge() [3/3]

expr sge ( int  a,
expr const b 
)
inline

Definition at line 2230 of file z3++.h.

2230{ return sge(b.ctx().num_val(a, b.get_sort()), b); }

◆ sgt() [1/3]

expr sgt ( expr const a,
expr const b 
)
inline

signed greater than operator for bitvectors.

Definition at line 2234 of file z3++.h.

2234{ return to_expr(a.ctx(), Z3_mk_bvsgt(a.ctx(), a, b)); }

Referenced by sgt(), and sgt().

◆ sgt() [2/3]

expr sgt ( expr const a,
int  b 
)
inline

Definition at line 2235 of file z3++.h.

2235{ return sgt(a, a.ctx().num_val(b, a.get_sort())); }
expr sgt(expr const &a, expr const &b)
signed greater than operator for bitvectors.
Definition z3++.h:2234

◆ sgt() [3/3]

expr sgt ( int  a,
expr const b 
)
inline

Definition at line 2236 of file z3++.h.

2236{ return sgt(b.ctx().num_val(a, b.get_sort()), b); }

◆ shl() [1/3]

expr shl ( expr const a,
expr const b 
)
inline

shift left operator for bitvectors

Definition at line 2302 of file z3++.h.

2302{ return to_expr(a.ctx(), Z3_mk_bvshl(a.ctx(), a, b)); }
Z3_ast Z3_API Z3_mk_bvshl(Z3_context c, Z3_ast t1, Z3_ast t2)
Shift left.

Referenced by shl(), and shl().

◆ shl() [2/3]

expr shl ( expr const a,
int  b 
)
inline

Definition at line 2303 of file z3++.h.

2303{ return shl(a, a.ctx().num_val(b, a.get_sort())); }
expr shl(expr const &a, expr const &b)
shift left operator for bitvectors
Definition z3++.h:2302

◆ shl() [3/3]

expr shl ( int  a,
expr const b 
)
inline

Definition at line 2304 of file z3++.h.

2304{ return shl(b.ctx().num_val(a, b.get_sort()), b); }

◆ sle() [1/3]

expr sle ( expr const a,
expr const b 
)
inline

signed less than or equal to operator for bitvectors.

Definition at line 2216 of file z3++.h.

2216{ return to_expr(a.ctx(), Z3_mk_bvsle(a.ctx(), a, b)); }

Referenced by sle(), and sle().

◆ sle() [2/3]

expr sle ( expr const a,
int  b 
)
inline

Definition at line 2217 of file z3++.h.

2217{ return sle(a, a.ctx().num_val(b, a.get_sort())); }
expr sle(expr const &a, expr const &b)
signed less than or equal to operator for bitvectors.
Definition z3++.h:2216

◆ sle() [3/3]

expr sle ( int  a,
expr const b 
)
inline

Definition at line 2218 of file z3++.h.

2218{ return sle(b.ctx().num_val(a, b.get_sort()), b); }

◆ slt() [1/3]

expr slt ( expr const a,
expr const b 
)
inline

signed less than operator for bitvectors.

Definition at line 2222 of file z3++.h.

2222{ return to_expr(a.ctx(), Z3_mk_bvslt(a.ctx(), a, b)); }

Referenced by slt(), and slt().

◆ slt() [2/3]

expr slt ( expr const a,
int  b 
)
inline

Definition at line 2223 of file z3++.h.

2223{ return slt(a, a.ctx().num_val(b, a.get_sort())); }
expr slt(expr const &a, expr const &b)
signed less than operator for bitvectors.
Definition z3++.h:2222

◆ slt() [3/3]

expr slt ( int  a,
expr const b 
)
inline

Definition at line 2224 of file z3++.h.

2224{ return slt(b.ctx().num_val(a, b.get_sort()), b); }

◆ smod() [1/3]

expr smod ( expr const a,
expr const b 
)
inline

signed modulus operator for bitvectors

Definition at line 2288 of file z3++.h.

2288{ return to_expr(a.ctx(), Z3_mk_bvsmod(a.ctx(), a, b)); }

Referenced by smod(), and smod().

◆ smod() [2/3]

expr smod ( expr const a,
int  b 
)
inline

Definition at line 2289 of file z3++.h.

2289{ return smod(a, a.ctx().num_val(b, a.get_sort())); }
expr smod(expr const &a, expr const &b)
signed modulus operator for bitvectors
Definition z3++.h:2288

◆ smod() [3/3]

expr smod ( int  a,
expr const b 
)
inline

Definition at line 2290 of file z3++.h.

2290{ return smod(b.ctx().num_val(a, b.get_sort()), b); }

◆ sqrt()

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

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

2102 {
2103 check_context(a, rm);
2104 assert(a.is_fpa());
2105 Z3_ast r = Z3_mk_fpa_sqrt(a.ctx(), rm, a);
2106 a.check_error();
2107 return expr(a.ctx(), r);
2108 }
Z3_ast Z3_API Z3_mk_fpa_sqrt(Z3_context c, Z3_ast rm, Z3_ast t)
Floating-point square root.

◆ srem() [1/3]

expr srem ( expr const a,
expr const b 
)
inline

signed remainder operator for bitvectors

Definition at line 2281 of file z3++.h.

2281{ return to_expr(a.ctx(), Z3_mk_bvsrem(a.ctx(), a, b)); }
Z3_ast Z3_API Z3_mk_bvsrem(Z3_context c, Z3_ast t1, Z3_ast t2)
Two's complement signed remainder (sign follows dividend).

Referenced by srem(), and srem().

◆ srem() [2/3]

expr srem ( expr const a,
int  b 
)
inline

Definition at line 2282 of file z3++.h.

2282{ return srem(a, a.ctx().num_val(b, a.get_sort())); }
expr srem(expr const &a, expr const &b)
signed remainder operator for bitvectors
Definition z3++.h:2281

◆ srem() [3/3]

expr srem ( int  a,
expr const b 
)
inline

Definition at line 2283 of file z3++.h.

2283{ return srem(b.ctx().num_val(a, b.get_sort()), b); }

◆ star()

expr star ( expr const re)
inline

Definition at line 4312 of file z3++.h.

4312 {
4314 }
Z3_ast Z3_API Z3_mk_re_star(Z3_context c, Z3_ast re)
Create the regular language re*.

◆ store() [1/5]

expr store ( expr const a,
expr const i,
expr const v 
)
inline

Definition at line 4165 of file z3++.h.

4165 {
4167 Z3_ast r = Z3_mk_store(a.ctx(), a, i, v);
4168 a.check_error();
4169 return expr(a.ctx(), r);
4170 }
Z3_ast Z3_API Z3_mk_store(Z3_context c, Z3_ast a, Z3_ast i, Z3_ast v)
Array update.

Referenced by store(), store(), and store().

◆ store() [2/5]

expr store ( expr const a,
expr  i,
int  v 
)
inline

Definition at line 4173 of file z3++.h.

4173{ return store(a, i, a.ctx().num_val(v, a.get_sort().array_range())); }
expr store(expr const &a, expr const &i, expr const &v)
Definition z3++.h:4165

◆ store() [3/5]

expr store ( expr const a,
expr_vector const i,
expr const v 
)
inline

Definition at line 4177 of file z3++.h.

4177 {
4180 Z3_ast r = Z3_mk_store_n(a.ctx(), a, idxs.size(), idxs.ptr(), v);
4181 a.check_error();
4182 return expr(a.ctx(), r);
4183 }
Z3_ast Z3_API Z3_mk_store_n(Z3_context c, Z3_ast a, unsigned n, Z3_ast const *idxs, Z3_ast v)
n-ary Array update.

◆ store() [4/5]

expr store ( expr const a,
int  i,
expr const v 
)
inline

Definition at line 4172 of file z3++.h.

4172{ return store(a, a.ctx().num_val(i, a.get_sort().array_domain()), v); }

◆ store() [5/5]

expr store ( expr const a,
int  i,
int  v 
)
inline

Definition at line 4174 of file z3++.h.

4174 {
4175 return store(a, a.ctx().num_val(i, a.get_sort().array_domain()), a.ctx().num_val(v, a.get_sort().array_range()));
4176 }

◆ suffixof()

expr suffixof ( expr const a,
expr const b 
)
inline

Definition at line 4276 of file z3++.h.

4276 {
4277 check_context(a, b);
4278 Z3_ast r = Z3_mk_seq_suffix(a.ctx(), a, b);
4279 a.check_error();
4280 return expr(a.ctx(), r);
4281 }
Z3_ast Z3_API Z3_mk_seq_suffix(Z3_context c, Z3_ast suffix, Z3_ast s)
Check if suffix is a suffix of s.

◆ sum()

expr sum ( expr_vector const args)
inline

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

2546 {
2547 assert(args.size() > 0);
2548 context& ctx = args[0u].ctx();
2549 array<Z3_ast> _args(args);
2550 Z3_ast r = Z3_mk_add(ctx, _args.size(), _args.ptr());
2551 ctx.check_error();
2552 return expr(ctx, r);
2553 }

◆ to_check_result()

check_result to_check_result ( Z3_lbool  l)
inline

Definition at line 178 of file z3++.h.

178 {
179 if (l == Z3_L_TRUE) return sat;
180 else if (l == Z3_L_FALSE) return unsat;
181 return unknown;
182 }
@ Z3_L_TRUE
Definition z3_api.h:61
@ Z3_L_FALSE
Definition z3_api.h:59

Referenced by solver::check(), optimize::check(), optimize::check(), solver::check(), solver::check(), solver::consequences(), fixedpoint::query(), and fixedpoint::query().

◆ to_expr()

expr to_expr ( context c,
Z3_ast  a 
)
inline

Wraps a Z3_ast as an expr object. It also checks for errors. This function allows the user to use the whole C API with the C++ layer defined in this file.

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

2194 {
2195 c.check_error();
2198 Z3_get_ast_kind(c, a) == Z3_VAR_AST ||
2200 return expr(c, a);
2201 }
Z3_ast_kind Z3_API Z3_get_ast_kind(Z3_context c, Z3_ast a)
Return the kind of the given AST.
@ Z3_APP_AST
Definition z3_api.h:144
@ Z3_VAR_AST
Definition z3_api.h:145
@ Z3_NUMERAL_AST
Definition z3_api.h:143
@ Z3_QUANTIFIER_AST
Definition z3_api.h:146

Referenced by ashr(), lshr(), sdiv(), sext(), sge(), sgt(), shl(), sle(), slt(), smod(), srem(), udiv(), uge(), ugt(), ule(), ult(), urem(), and zext().

◆ to_func_decl()

func_decl to_func_decl ( context c,
Z3_func_decl  f 
)
inline

Definition at line 2208 of file z3++.h.

2208 {
2209 c.check_error();
2210 return func_decl(c, f);
2211 }
Function declaration (aka function definition). It is the signature of interpreted and uninterpreted ...
Definition z3++.h:826

Referenced by linear_order(), partial_order(), piecewise_linear_order(), and tree_order().

◆ to_re()

expr to_re ( expr const s)
inline

Definition at line 4300 of file z3++.h.

4300 {
4302 }
Z3_ast Z3_API Z3_mk_seq_to_re(Z3_context c, Z3_ast seq)
Create a regular expression that accepts the sequence seq.

◆ to_real()

expr to_real ( expr const a)
inline

Definition at line 4105 of file z3++.h.

4105{ Z3_ast r = Z3_mk_int2real(a.ctx(), a); a.check_error(); return expr(a.ctx(), r); }
Z3_ast Z3_API Z3_mk_int2real(Z3_context c, Z3_ast t1)
Coerce an integer to a real.

◆ to_sort()

sort to_sort ( context c,
Z3_sort  s 
)
inline

Definition at line 2203 of file z3++.h.

2203 {
2204 c.check_error();
2205 return sort(c, s);
2206 }
A Z3 sort (aka type). Every expression (i.e., formula or term) in Z3 has a sort.
Definition z3++.h:723

Referenced by context::enumeration_sort(), context::tuple_sort(), context::uninterpreted_sort(), and context::uninterpreted_sort().

◆ tree_order()

func_decl tree_order ( sort const a,
unsigned  index 
)
inline

Definition at line 2374 of file z3++.h.

2374 {
2375 return to_func_decl(a.ctx(), Z3_mk_tree_order(a.ctx(), a, index));
2376 }
Z3_func_decl Z3_API Z3_mk_tree_order(Z3_context c, Z3_sort a, unsigned id)
create a tree ordering relation over signature a identified using index id.

◆ try_for()

tactic try_for ( tactic const t,
unsigned  ms 
)
inline

Definition at line 3318 of file z3++.h.

3318 {
3319 Z3_tactic r = Z3_tactic_try_for(t.ctx(), t, ms);
3320 t.check_error();
3321 return tactic(t.ctx(), r);
3322 }
Z3_tactic Z3_API Z3_tactic_try_for(Z3_context c, Z3_tactic t, unsigned ms)
Return a tactic that applies t to a given goal for ms milliseconds. If t does not terminate in ms mil...

◆ ubv_to_fpa()

expr ubv_to_fpa ( expr const t,
sort  s 
)
inline

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

2155 {
2156 assert(t.is_bv());
2157 Z3_ast r = Z3_mk_fpa_to_fp_unsigned(t.ctx(), t.ctx().fpa_rounding_mode(), t, s);
2158 t.check_error();
2159 return expr(t.ctx(), r);
2160 }
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.

◆ udiv() [1/3]

expr udiv ( expr const a,
expr const b 
)
inline

unsigned division operator for bitvectors.

Definition at line 2274 of file z3++.h.

2274{ return to_expr(a.ctx(), Z3_mk_bvudiv(a.ctx(), a, b)); }
Z3_ast Z3_API Z3_mk_bvudiv(Z3_context c, Z3_ast t1, Z3_ast t2)
Unsigned division.

Referenced by udiv(), and udiv().

◆ udiv() [2/3]

expr udiv ( expr const a,
int  b 
)
inline

Definition at line 2275 of file z3++.h.

2275{ return udiv(a, a.ctx().num_val(b, a.get_sort())); }
expr udiv(expr const &a, expr const &b)
unsigned division operator for bitvectors.
Definition z3++.h:2274

◆ udiv() [3/3]

expr udiv ( int  a,
expr const b 
)
inline

Definition at line 2276 of file z3++.h.

2276{ return udiv(b.ctx().num_val(a, b.get_sort()), b); }

◆ uge() [1/3]

expr uge ( expr const a,
expr const b 
)
inline

unsigned greater than or equal to operator for bitvectors.

Definition at line 2254 of file z3++.h.

2254{ return to_expr(a.ctx(), Z3_mk_bvuge(a.ctx(), a, b)); }

Referenced by uge(), and uge().

◆ uge() [2/3]

expr uge ( expr const a,
int  b 
)
inline

Definition at line 2255 of file z3++.h.

2255{ return uge(a, a.ctx().num_val(b, a.get_sort())); }
expr uge(expr const &a, expr const &b)
unsigned greater than or equal to operator for bitvectors.
Definition z3++.h:2254

◆ uge() [3/3]

expr uge ( int  a,
expr const b 
)
inline

Definition at line 2256 of file z3++.h.

2256{ return uge(b.ctx().num_val(a, b.get_sort()), b); }

◆ ugt() [1/3]

expr ugt ( expr const a,
expr const b 
)
inline

unsigned greater than operator for bitvectors.

Definition at line 2260 of file z3++.h.

2260{ return to_expr(a.ctx(), Z3_mk_bvugt(a.ctx(), a, b)); }
Z3_ast Z3_API Z3_mk_bvugt(Z3_context c, Z3_ast t1, Z3_ast t2)
Unsigned greater than.

Referenced by ugt(), and ugt().

◆ ugt() [2/3]

expr ugt ( expr const a,
int  b 
)
inline

Definition at line 2261 of file z3++.h.

2261{ return ugt(a, a.ctx().num_val(b, a.get_sort())); }
expr ugt(expr const &a, expr const &b)
unsigned greater than operator for bitvectors.
Definition z3++.h:2260

◆ ugt() [3/3]

expr ugt ( int  a,
expr const b 
)
inline

Definition at line 2262 of file z3++.h.

2262{ return ugt(b.ctx().num_val(a, b.get_sort()), b); }

◆ ule() [1/3]

expr ule ( expr const a,
expr const b 
)
inline

unsigned less than or equal to operator for bitvectors.

Definition at line 2242 of file z3++.h.

2242{ return to_expr(a.ctx(), Z3_mk_bvule(a.ctx(), a, b)); }
Z3_ast Z3_API Z3_mk_bvule(Z3_context c, Z3_ast t1, Z3_ast t2)
Unsigned less than or equal to.

Referenced by ule(), and ule().

◆ ule() [2/3]

expr ule ( expr const a,
int  b 
)
inline

Definition at line 2243 of file z3++.h.

2243{ return ule(a, a.ctx().num_val(b, a.get_sort())); }
expr ule(expr const &a, expr const &b)
unsigned less than or equal to operator for bitvectors.
Definition z3++.h:2242

◆ ule() [3/3]

expr ule ( int  a,
expr const b 
)
inline

Definition at line 2244 of file z3++.h.

2244{ return ule(b.ctx().num_val(a, b.get_sort()), b); }

◆ ult() [1/3]

expr ult ( expr const a,
expr const b 
)
inline

unsigned less than operator for bitvectors.

Definition at line 2248 of file z3++.h.

2248{ return to_expr(a.ctx(), Z3_mk_bvult(a.ctx(), a, b)); }
Z3_ast Z3_API Z3_mk_bvult(Z3_context c, Z3_ast t1, Z3_ast t2)
Unsigned less than.

Referenced by ult(), and ult().

◆ ult() [2/3]

expr ult ( expr const a,
int  b 
)
inline

Definition at line 2249 of file z3++.h.

2249{ return ult(a, a.ctx().num_val(b, a.get_sort())); }
expr ult(expr const &a, expr const &b)
unsigned less than operator for bitvectors.
Definition z3++.h:2248

◆ ult() [3/3]

expr ult ( int  a,
expr const b 
)
inline

Definition at line 2250 of file z3++.h.

2250{ return ult(b.ctx().num_val(a, b.get_sort()), b); }

◆ urem() [1/3]

expr urem ( expr const a,
expr const b 
)
inline

unsigned reminder operator for bitvectors

Definition at line 2295 of file z3++.h.

2295{ return to_expr(a.ctx(), Z3_mk_bvurem(a.ctx(), a, b)); }
Z3_ast Z3_API Z3_mk_bvurem(Z3_context c, Z3_ast t1, Z3_ast t2)
Unsigned remainder.

Referenced by urem(), and urem().

◆ urem() [2/3]

expr urem ( expr const a,
int  b 
)
inline

Definition at line 2296 of file z3++.h.

2296{ return urem(a, a.ctx().num_val(b, a.get_sort())); }
expr urem(expr const &a, expr const &b)
unsigned reminder operator for bitvectors
Definition z3++.h:2295

◆ urem() [3/3]

expr urem ( int  a,
expr const b 
)
inline

Definition at line 2297 of file z3++.h.

2297{ return urem(b.ctx().num_val(a, b.get_sort()), b); }

◆ when()

tactic when ( probe const p,
tactic const t 
)
inline

Definition at line 3642 of file z3++.h.

3642 {
3643 check_context(p, t);
3644 Z3_tactic r = Z3_tactic_when(t.ctx(), p, t);
3645 t.check_error();
3646 return tactic(t.ctx(), r);
3647 }
Z3_tactic Z3_API Z3_tactic_when(Z3_context c, Z3_probe p, Z3_tactic t)
Return a tactic that applies t to a given goal is the probe p evaluates to true. If p evaluates to fa...

◆ with() [1/2]

simplifier with ( simplifier const t,
params const p 
)
inline

Definition at line 3374 of file z3++.h.

3374 {
3375 Z3_simplifier r = Z3_simplifier_using_params(t.ctx(), t, p);
3376 t.check_error();
3377 return simplifier(t.ctx(), r);
3378 }
Z3_simplifier Z3_API Z3_simplifier_using_params(Z3_context c, Z3_simplifier t, Z3_params p)
Return a simplifier that applies t using the given set of parameters.

◆ with() [2/2]

tactic with ( tactic const t,
params const p 
)
inline

Definition at line 3313 of file z3++.h.

3313 {
3314 Z3_tactic r = Z3_tactic_using_params(t.ctx(), t, p);
3315 t.check_error();
3316 return tactic(t.ctx(), r);
3317 }
Z3_tactic Z3_API Z3_tactic_using_params(Z3_context c, Z3_tactic t, Z3_params p)
Return a tactic that applies t using the given set of parameters.

◆ xnor()

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

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

2037{ if (a.is_bool()) return !(a ^ b); check_context(a, b); Z3_ast r = Z3_mk_bvxnor(a.ctx(), a, b); a.check_error(); return expr(a.ctx(), r); }
Z3_ast Z3_API Z3_mk_bvxnor(Z3_context c, Z3_ast t1, Z3_ast t2)
Bitwise xnor.

◆ zext()

expr zext ( expr const a,
unsigned  i 
)
inline

Extend the given bit-vector with zeros to the (unsigned) equivalent bitvector of size m+i, where m is the size of the given bit-vector.

Definition at line 2323 of file z3++.h.

2323{ return to_expr(a.ctx(), Z3_mk_zero_ext(a.ctx(), i, a)); }
Z3_ast Z3_API Z3_mk_zero_ext(Z3_context c, unsigned i, Z3_ast t1)
Extend the given bit-vector with zeros to the (unsigned) equivalent bit-vector of size m+i,...