Z3
Public Member Functions | Data Fields
ArithSortRef Class Reference

Arithmetic. More...

+ Inheritance diagram for ArithSortRef:

Public Member Functions

def is_real (self)
 
def is_int (self)
 
def subsort (self, other)
 
def cast (self, val)
 
- Public Member Functions inherited from SortRef
def as_ast (self)
 
def get_id (self)
 
def kind (self)
 
def name (self)
 
def __eq__ (self, other)
 
def __ne__ (self, other)
 
def __hash__ (self)
 
- Public Member Functions inherited from AstRef
def __init__ (self, ast, ctx=None)
 
def __del__ (self)
 
def __deepcopy__ (self, memo={})
 
def __str__ (self)
 
def __repr__ (self)
 
def __nonzero__ (self)
 
def __bool__ (self)
 
def sexpr (self)
 
def ctx_ref (self)
 
def eq (self, other)
 
def translate (self, target)
 
def __copy__ (self)
 
def hash (self)
 
- Public Member Functions inherited from Z3PPObject
def use_pp (self)
 

Data Fields

 ctx
 
- Data Fields inherited from AstRef
 ast
 
 ctx
 

Detailed Description

Arithmetic.

Real and Integer sorts.

Definition at line 2107 of file z3py.py.

Member Function Documentation

◆ cast()

def cast (   self,
  val 
)
Try to cast `val` as an Integer or Real.

>>> IntSort().cast(10)
10
>>> is_int(IntSort().cast(10))
True
>>> is_int(10)
False
>>> RealSort().cast(10)
10
>>> is_real(RealSort().cast(10))
True

Reimplemented from SortRef.

Definition at line 2142 of file z3py.py.

2142  def cast(self, val):
2143  """Try to cast `val` as an Integer or Real.
2144 
2145  >>> IntSort().cast(10)
2146  10
2147  >>> is_int(IntSort().cast(10))
2148  True
2149  >>> is_int(10)
2150  False
2151  >>> RealSort().cast(10)
2152  10
2153  >>> is_real(RealSort().cast(10))
2154  True
2155  """
2156  if is_expr(val):
2157  if z3_debug():
2158  _z3_assert(self.ctx == val.ctx, "Context mismatch")
2159  val_s = val.sort()
2160  if self.eq(val_s):
2161  return val
2162  if val_s.is_int() and self.is_real():
2163  return ToReal(val)
2164  if val_s.is_bool() and self.is_int():
2165  return If(val, 1, 0)
2166  if val_s.is_bool() and self.is_real():
2167  return ToReal(If(val, 1, 0))
2168  if z3_debug():
2169  _z3_assert(False, "Z3 Integer/Real expression expected" )
2170  else:
2171  if self.is_int():
2172  return IntVal(val, self.ctx)
2173  if self.is_real():
2174  return RealVal(val, self.ctx)
2175  if z3_debug():
2176  _z3_assert(False, "int, long, float, string (numeral), or Z3 Integer/Real expression expected. Got %s" % self)
2177 
def IntVal(val, ctx=None)
Definition: z3py.py:2954
def If(a, b, c, ctx=None)
Definition: z3py.py:1248
def RealVal(val, ctx=None)
Definition: z3py.py:2965
def ToReal(a)
Definition: z3py.py:3110
def z3_debug()
Definition: z3py.py:56
def is_expr(a)
Definition: z3py.py:1115

◆ is_int()

def is_int (   self)
Return `True` if `self` is of the sort Integer.

>>> x = Int('x')
>>> x.is_int()
True
>>> (x + 1).is_int()
True
>>> x = Real('x')
>>> x.is_int()
False

Definition at line 2124 of file z3py.py.

2124  def is_int(self):
2125  """Return `True` if `self` is of the sort Integer.
2126 
2127  >>> x = Int('x')
2128  >>> x.is_int()
2129  True
2130  >>> (x + 1).is_int()
2131  True
2132  >>> x = Real('x')
2133  >>> x.is_int()
2134  False
2135  """
2136  return self.kind() == Z3_INT_SORT
2137 
def is_int(a)
Definition: z3py.py:2497

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

◆ is_real()

def is_real (   self)
Return `True` if `self` is of the sort Real.

>>> x = Real('x')
>>> x.is_real()
True
>>> (x + 1).is_real()
True
>>> x = Int('x')
>>> x.is_real()
False

Definition at line 2110 of file z3py.py.

2110  def is_real(self):
2111  """Return `True` if `self` is of the sort Real.
2112 
2113  >>> x = Real('x')
2114  >>> x.is_real()
2115  True
2116  >>> (x + 1).is_real()
2117  True
2118  >>> x = Int('x')
2119  >>> x.is_real()
2120  False
2121  """
2122  return self.kind() == Z3_REAL_SORT
2123 
def is_real(a)
Definition: z3py.py:2515

◆ subsort()

def subsort (   self,
  other 
)
Return `True` if `self` is a subsort of `other`.

Reimplemented from SortRef.

Definition at line 2138 of file z3py.py.

2138  def subsort(self, other):
2139  """Return `True` if `self` is a subsort of `other`."""
2140  return self.is_int() and is_arith_sort(other) and other.is_real()
2141 
def is_arith_sort(s)
Definition: z3py.py:2178

Field Documentation

◆ ctx

ctx

Definition at line 2158 of file z3py.py.

Referenced by Probe.__call__(), AstMap.__contains__(), Goal.__copy__(), AstVector.__copy__(), FuncInterp.__copy__(), ModelRef.__copy__(), Solver.__copy__(), Datatype.__deepcopy__(), ParamsRef.__deepcopy__(), ParamDescrsRef.__deepcopy__(), Goal.__deepcopy__(), AstVector.__deepcopy__(), AstMap.__deepcopy__(), FuncEntry.__deepcopy__(), FuncInterp.__deepcopy__(), ModelRef.__deepcopy__(), Statistics.__deepcopy__(), Solver.__deepcopy__(), Fixedpoint.__deepcopy__(), Optimize.__deepcopy__(), ApplyResult.__deepcopy__(), Tactic.__deepcopy__(), Probe.__deepcopy__(), ScopedConstructor.__del__(), ScopedConstructorList.__del__(), ParamsRef.__del__(), ParamDescrsRef.__del__(), Goal.__del__(), AstVector.__del__(), AstMap.__del__(), FuncEntry.__del__(), FuncInterp.__del__(), ModelRef.__del__(), Statistics.__del__(), Solver.__del__(), Fixedpoint.__del__(), Optimize.__del__(), ApplyResult.__del__(), Tactic.__del__(), Probe.__del__(), Probe.__eq__(), Probe.__ge__(), AstVector.__getitem__(), AstMap.__getitem__(), ModelRef.__getitem__(), Statistics.__getitem__(), ApplyResult.__getitem__(), Probe.__gt__(), Probe.__le__(), AstVector.__len__(), AstMap.__len__(), ModelRef.__len__(), Statistics.__len__(), ApplyResult.__len__(), Probe.__lt__(), Probe.__ne__(), ParamsRef.__repr__(), ParamDescrsRef.__repr__(), AstMap.__repr__(), Statistics.__repr__(), AstVector.__setitem__(), AstMap.__setitem__(), Fixedpoint.add_cover(), Fixedpoint.add_rule(), Optimize.add_soft(), Tactic.apply(), FuncEntry.arg_value(), FuncInterp.arity(), Goal.as_expr(), ApplyResult.as_expr(), Solver.assert_and_track(), Optimize.assert_and_track(), Goal.assert_exprs(), Solver.assert_exprs(), Fixedpoint.assert_exprs(), Optimize.assert_exprs(), Solver.assertions(), Optimize.assertions(), Solver.check(), Optimize.check(), Solver.consequences(), Goal.convert_model(), ModelRef.decls(), Goal.depth(), Goal.dimacs(), Solver.dimacs(), FuncInterp.else_value(), FuncInterp.entry(), AstMap.erase(), ModelRef.eval(), Solver.from_file(), Optimize.from_file(), Solver.from_string(), Optimize.from_string(), Goal.get(), Fixedpoint.get_answer(), Fixedpoint.get_assertions(), Fixedpoint.get_cover_delta(), ParamDescrsRef.get_documentation(), Fixedpoint.get_ground_sat_answer(), ModelRef.get_interp(), Statistics.get_key_value(), ParamDescrsRef.get_kind(), ParamDescrsRef.get_name(), Fixedpoint.get_num_levels(), Fixedpoint.get_rule_names_along_trace(), Fixedpoint.get_rules(), Fixedpoint.get_rules_along_trace(), ModelRef.get_sort(), ModelRef.get_universe(), Solver.help(), Fixedpoint.help(), Optimize.help(), Tactic.help(), Solver.import_model_converter(), Goal.inconsistent(), AstMap.keys(), Statistics.keys(), Optimize.maximize(), Optimize.minimize(), Solver.model(), Optimize.model(), Solver.non_units(), FuncEntry.num_args(), FuncInterp.num_entries(), Solver.num_scopes(), ModelRef.num_sorts(), Optimize.objectives(), Solver.param_descrs(), Fixedpoint.param_descrs(), Optimize.param_descrs(), Tactic.param_descrs(), Fixedpoint.parse_file(), Fixedpoint.parse_string(), Solver.pop(), Optimize.pop(), Goal.prec(), Solver.proof(), AstVector.push(), Solver.push(), Optimize.push(), Fixedpoint.query(), Fixedpoint.query_from_lvl(), Solver.reason_unknown(), Fixedpoint.reason_unknown(), Optimize.reason_unknown(), Fixedpoint.register_relation(), AstMap.reset(), Solver.reset(), AstVector.resize(), ParamsRef.set(), Solver.set(), Fixedpoint.set(), Optimize.set(), Fixedpoint.set_predicate_representation(), Goal.sexpr(), AstVector.sexpr(), ModelRef.sexpr(), Solver.sexpr(), Fixedpoint.sexpr(), Optimize.sexpr(), ApplyResult.sexpr(), ParamDescrsRef.size(), Goal.size(), Tactic.solver(), Solver.statistics(), Fixedpoint.statistics(), Optimize.statistics(), Solver.to_smt2(), Fixedpoint.to_string(), Solver.trail(), Solver.trail_levels(), Goal.translate(), AstVector.translate(), FuncInterp.translate(), ModelRef.translate(), Solver.translate(), Solver.units(), Solver.unsat_core(), Optimize.unsat_core(), Fixedpoint.update_rule(), ParamsRef.validate(), and FuncEntry.value().