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 subsort (self, other)
 
def cast (self, val)
 
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 __eq__ (self, other)
 
def __hash__ (self)
 
def __nonzero__ (self)
 
def __bool__ (self)
 
def sexpr (self)
 
def as_ast (self)
 
def get_id (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 2079 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

Definition at line 2114 of file z3py.py.

2114  def cast(self, val):
2115  """Try to cast `val` as an Integer or Real.
2116 
2117  >>> IntSort().cast(10)
2118  10
2119  >>> is_int(IntSort().cast(10))
2120  True
2121  >>> is_int(10)
2122  False
2123  >>> RealSort().cast(10)
2124  10
2125  >>> is_real(RealSort().cast(10))
2126  True
2127  """
2128  if is_expr(val):
2129  if __debug__:
2130  _z3_assert(self.ctx == val.ctx, "Context mismatch")
2131  val_s = val.sort()
2132  if self.eq(val_s):
2133  return val
2134  if val_s.is_int() and self.is_real():
2135  return ToReal(val)
2136  if val_s.is_bool() and self.is_int():
2137  return If(val, 1, 0)
2138  if val_s.is_bool() and self.is_real():
2139  return ToReal(If(val, 1, 0))
2140  if __debug__:
2141  _z3_assert(False, "Z3 Integer/Real expression expected" )
2142  else:
2143  if self.is_int():
2144  return IntVal(val, self.ctx)
2145  if self.is_real():
2146  return RealVal(val, self.ctx)
2147  if __debug__:
2148  _z3_assert(False, "int, long, float, string (numeral), or Z3 Integer/Real expression expected. Got %s" % self)
2149 
def IntVal(val, ctx=None)
Definition: z3py.py:2926
def If(a, b, c, ctx=None)
Definition: z3py.py:1227
def RealVal(val, ctx=None)
Definition: z3py.py:2937
def ToReal(a)
Definition: z3py.py:3082
def is_expr(a)
Definition: z3py.py:1094

◆ 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 2096 of file z3py.py.

Referenced by ArithSortRef.cast().

2096  def is_int(self):
2097  """Return `True` if `self` is of the sort Integer.
2098 
2099  >>> x = Int('x')
2100  >>> x.is_int()
2101  True
2102  >>> (x + 1).is_int()
2103  True
2104  >>> x = Real('x')
2105  >>> x.is_int()
2106  False
2107  """
2108  return self.kind() == Z3_INT_SORT
2109 
def is_int(a)
Definition: z3py.py:2469

◆ 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 2082 of file z3py.py.

Referenced by ArithSortRef.cast().

2082  def is_real(self):
2083  """Return `True` if `self` is of the sort Real.
2084 
2085  >>> x = Real('x')
2086  >>> x.is_real()
2087  True
2088  >>> (x + 1).is_real()
2089  True
2090  >>> x = Int('x')
2091  >>> x.is_real()
2092  False
2093  """
2094  return self.kind() == Z3_REAL_SORT
2095 
def is_real(a)
Definition: z3py.py:2487

◆ subsort()

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

Definition at line 2110 of file z3py.py.

2110  def subsort(self, other):
2111  """Return `True` if `self` is a subsort of `other`."""
2112  return self.is_int() and is_arith_sort(other) and other.is_real()
2113 
def is_arith_sort(s)
Definition: z3py.py:2150

Field Documentation

◆ ctx

ctx

Definition at line 2130 of file z3py.py.

Referenced by Probe.__call__(), Fixedpoint.__deepcopy__(), Optimize.__deepcopy__(), ApplyResult.__deepcopy__(), Tactic.__deepcopy__(), Probe.__deepcopy__(), Fixedpoint.__del__(), Optimize.__del__(), ApplyResult.__del__(), Tactic.__del__(), Probe.__del__(), Probe.__eq__(), Probe.__ge__(), ApplyResult.__getitem__(), Probe.__gt__(), Probe.__le__(), ApplyResult.__len__(), Probe.__lt__(), Probe.__ne__(), Fixedpoint.add_cover(), Fixedpoint.add_rule(), Optimize.add_soft(), Tactic.apply(), ApplyResult.as_expr(), Fixedpoint.assert_exprs(), Optimize.assert_exprs(), Optimize.assertions(), Optimize.check(), Optimize.from_file(), Optimize.from_string(), Fixedpoint.get_answer(), Fixedpoint.get_assertions(), Fixedpoint.get_cover_delta(), Fixedpoint.get_ground_sat_answer(), Fixedpoint.get_num_levels(), Fixedpoint.get_rule_names_along_trace(), Fixedpoint.get_rules(), Fixedpoint.get_rules_along_trace(), Fixedpoint.help(), Optimize.help(), Tactic.help(), Optimize.maximize(), Optimize.minimize(), Optimize.model(), Optimize.objectives(), Fixedpoint.param_descrs(), Optimize.param_descrs(), Tactic.param_descrs(), Fixedpoint.parse_file(), Fixedpoint.parse_string(), Fixedpoint.pop(), Optimize.pop(), Fixedpoint.push(), Optimize.push(), Fixedpoint.query(), Fixedpoint.query_from_lvl(), Fixedpoint.reason_unknown(), Optimize.reason_unknown(), Fixedpoint.register_relation(), Fixedpoint.set(), Optimize.set(), Fixedpoint.set_predicate_representation(), Fixedpoint.sexpr(), Optimize.sexpr(), ApplyResult.sexpr(), Tactic.solver(), Fixedpoint.statistics(), Optimize.statistics(), Solver.to_smt2(), Fixedpoint.to_string(), Optimize.unsat_core(), and Fixedpoint.update_rule().