Z3
Public Member Functions
FPRef Class Reference
+ Inheritance diagram for FPRef:

Public Member Functions

def sort (self)
 
def ebits (self)
 
def sbits (self)
 
def as_string (self)
 
def __le__ (self, other)
 
def __lt__ (self, other)
 
def __ge__ (self, other)
 
def __gt__ (self, other)
 
def __add__ (self, other)
 
def __radd__ (self, other)
 
def __sub__ (self, other)
 
def __rsub__ (self, other)
 
def __mul__ (self, other)
 
def __rmul__ (self, other)
 
def __pos__ (self)
 
def __neg__ (self)
 
def __div__ (self, other)
 
def __rdiv__ (self, other)
 
def __truediv__ (self, other)
 
def __rtruediv__ (self, other)
 
def __mod__ (self, other)
 
def __rmod__ (self, other)
 
- Public Member Functions inherited from ExprRef
def as_ast (self)
 
def get_id (self)
 
def sort_kind (self)
 
def __eq__ (self, other)
 
def __hash__ (self)
 
def __ne__ (self, other)
 
def params (self)
 
def decl (self)
 
def num_args (self)
 
def arg (self, idx)
 
def children (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)
 

Additional Inherited Members

- Data Fields inherited from AstRef
 ast
 
 ctx
 

Detailed Description

Floating-point expressions.

Definition at line 9306 of file z3py.py.

Member Function Documentation

◆ __add__()

def __add__ (   self,
  other 
)
Create the Z3 expression `self + other`.

>>> x = FP('x', FPSort(8, 24))
>>> y = FP('y', FPSort(8, 24))
>>> x + y
x + y
>>> (x + y).sort()
FPSort(8, 24)

Definition at line 9352 of file z3py.py.

9352  def __add__(self, other):
9353  """Create the Z3 expression `self + other`.
9354 
9355  >>> x = FP('x', FPSort(8, 24))
9356  >>> y = FP('y', FPSort(8, 24))
9357  >>> x + y
9358  x + y
9359  >>> (x + y).sort()
9360  FPSort(8, 24)
9361  """
9362  [a, b] = _coerce_fp_expr_list([self, other], self.ctx)
9363  return fpAdd(_dflt_rm(), a, b, self.ctx)
9364 
def fpAdd(rm, a, b, ctx=None)
Definition: z3py.py:10032

◆ __div__()

def __div__ (   self,
  other 
)
Create the Z3 expression `self / other`.

>>> x = FP('x', FPSort(8, 24))
>>> y = FP('y', FPSort(8, 24))
>>> x / y
x / y
>>> (x / y).sort()
FPSort(8, 24)
>>> 10 / y
1.25*(2**3) / y

Definition at line 9439 of file z3py.py.

9439  def __div__(self, other):
9440  """Create the Z3 expression `self / other`.
9441 
9442  >>> x = FP('x', FPSort(8, 24))
9443  >>> y = FP('y', FPSort(8, 24))
9444  >>> x / y
9445  x / y
9446  >>> (x / y).sort()
9447  FPSort(8, 24)
9448  >>> 10 / y
9449  1.25*(2**3) / y
9450  """
9451  [a, b] = _coerce_fp_expr_list([self, other], self.ctx)
9452  return fpDiv(_dflt_rm(), a, b, self.ctx)
9453 
def fpDiv(rm, a, b, ctx=None)
Definition: z3py.py:10079

Referenced by ArithRef.__truediv__(), BitVecRef.__truediv__(), and FPRef.__truediv__().

◆ __ge__()

def __ge__ (   self,
  other 
)

Definition at line 9346 of file z3py.py.

9346  def __ge__(self, other):
9347  return fpGEQ(self, other, self.ctx)
9348 
def fpGEQ(a, b, ctx=None)
Definition: z3py.py:10250

◆ __gt__()

def __gt__ (   self,
  other 
)

Definition at line 9349 of file z3py.py.

9349  def __gt__(self, other):
9350  return fpGT(self, other, self.ctx)
9351 
def fpGT(a, b, ctx=None)
Definition: z3py.py:10238

◆ __le__()

def __le__ (   self,
  other 
)

Definition at line 9340 of file z3py.py.

9340  def __le__(self, other):
9341  return fpLEQ(self, other, self.ctx)
9342 
def fpLEQ(a, b, ctx=None)
Definition: z3py.py:10226

◆ __lt__()

def __lt__ (   self,
  other 
)

Definition at line 9343 of file z3py.py.

9343  def __lt__(self, other):
9344  return fpLT(self, other, self.ctx)
9345 
def fpLT(a, b, ctx=None)
Definition: z3py.py:10214

◆ __mod__()

def __mod__ (   self,
  other 
)
Create the Z3 expression mod `self % other`.

Definition at line 9475 of file z3py.py.

9475  def __mod__(self, other):
9476  """Create the Z3 expression mod `self % other`."""
9477  return fpRem(self, other)
9478 
def fpRem(a, b, ctx=None)
Definition: z3py.py:10094

◆ __mul__()

def __mul__ (   self,
  other 
)
Create the Z3 expression `self * other`.

>>> x = FP('x', FPSort(8, 24))
>>> y = FP('y', FPSort(8, 24))
>>> x * y
x * y
>>> (x * y).sort()
FPSort(8, 24)
>>> 10 * y
1.25*(2**3) * y

Definition at line 9398 of file z3py.py.

9398  def __mul__(self, other):
9399  """Create the Z3 expression `self * other`.
9400 
9401  >>> x = FP('x', FPSort(8, 24))
9402  >>> y = FP('y', FPSort(8, 24))
9403  >>> x * y
9404  x * y
9405  >>> (x * y).sort()
9406  FPSort(8, 24)
9407  >>> 10 * y
9408  1.25*(2**3) * y
9409  """
9410  [a, b] = _coerce_fp_expr_list([self, other], self.ctx)
9411  return fpMul(_dflt_rm(), a, b, self.ctx)
9412 
def fpMul(rm, a, b, ctx=None)
Definition: z3py.py:10064

◆ __neg__()

def __neg__ (   self)
Create the Z3 expression `-self`.

>>> x = FP('x', Float32())
>>> -x
-x

Definition at line 9430 of file z3py.py.

9430  def __neg__(self):
9431  """Create the Z3 expression `-self`.
9432 
9433  >>> x = FP('x', Float32())
9434  >>> -x
9435  -x
9436  """
9437  return fpNeg(self)
9438 
def fpNeg(a, ctx=None)
Definition: z3py.py:9964

◆ __pos__()

def __pos__ (   self)
Create the Z3 expression `+self`.

Definition at line 9426 of file z3py.py.

9426  def __pos__(self):
9427  """Create the Z3 expression `+self`."""
9428  return self
9429 

◆ __radd__()

def __radd__ (   self,
  other 
)
Create the Z3 expression `other + self`.

>>> x = FP('x', FPSort(8, 24))
>>> 10 + x
1.25*(2**3) + x

Definition at line 9365 of file z3py.py.

9365  def __radd__(self, other):
9366  """Create the Z3 expression `other + self`.
9367 
9368  >>> x = FP('x', FPSort(8, 24))
9369  >>> 10 + x
9370  1.25*(2**3) + x
9371  """
9372  [a, b] = _coerce_fp_expr_list([other, self], self.ctx)
9373  return fpAdd(_dflt_rm(), a, b, self.ctx)
9374 

◆ __rdiv__()

def __rdiv__ (   self,
  other 
)
Create the Z3 expression `other / self`.

>>> x = FP('x', FPSort(8, 24))
>>> y = FP('y', FPSort(8, 24))
>>> x / y
x / y
>>> x / 10
x / 1.25*(2**3)

Definition at line 9454 of file z3py.py.

9454  def __rdiv__(self, other):
9455  """Create the Z3 expression `other / self`.
9456 
9457  >>> x = FP('x', FPSort(8, 24))
9458  >>> y = FP('y', FPSort(8, 24))
9459  >>> x / y
9460  x / y
9461  >>> x / 10
9462  x / 1.25*(2**3)
9463  """
9464  [a, b] = _coerce_fp_expr_list([other, self], self.ctx)
9465  return fpDiv(_dflt_rm(), a, b, self.ctx)
9466 

Referenced by ArithRef.__rtruediv__(), BitVecRef.__rtruediv__(), and FPRef.__rtruediv__().

◆ __rmod__()

def __rmod__ (   self,
  other 
)
Create the Z3 expression mod `other % self`.

Definition at line 9479 of file z3py.py.

9479  def __rmod__(self, other):
9480  """Create the Z3 expression mod `other % self`."""
9481  return fpRem(other, self)
9482 
9483 

◆ __rmul__()

def __rmul__ (   self,
  other 
)
Create the Z3 expression `other * self`.

>>> x = FP('x', FPSort(8, 24))
>>> y = FP('y', FPSort(8, 24))
>>> x * y
x * y
>>> x * 10
x * 1.25*(2**3)

Definition at line 9413 of file z3py.py.

9413  def __rmul__(self, other):
9414  """Create the Z3 expression `other * self`.
9415 
9416  >>> x = FP('x', FPSort(8, 24))
9417  >>> y = FP('y', FPSort(8, 24))
9418  >>> x * y
9419  x * y
9420  >>> x * 10
9421  x * 1.25*(2**3)
9422  """
9423  [a, b] = _coerce_fp_expr_list([other, self], self.ctx)
9424  return fpMul(_dflt_rm(), a, b, self.ctx)
9425 

◆ __rsub__()

def __rsub__ (   self,
  other 
)
Create the Z3 expression `other - self`.

>>> x = FP('x', FPSort(8, 24))
>>> 10 - x
1.25*(2**3) - x

Definition at line 9388 of file z3py.py.

9388  def __rsub__(self, other):
9389  """Create the Z3 expression `other - self`.
9390 
9391  >>> x = FP('x', FPSort(8, 24))
9392  >>> 10 - x
9393  1.25*(2**3) - x
9394  """
9395  [a, b] = _coerce_fp_expr_list([other, self], self.ctx)
9396  return fpSub(_dflt_rm(), a, b, self.ctx)
9397 
def fpSub(rm, a, b, ctx=None)
Definition: z3py.py:10049

◆ __rtruediv__()

def __rtruediv__ (   self,
  other 
)
Create the Z3 expression division `other / self`.

Definition at line 9471 of file z3py.py.

9471  def __rtruediv__(self, other):
9472  """Create the Z3 expression division `other / self`."""
9473  return self.__rdiv__(other)
9474 

◆ __sub__()

def __sub__ (   self,
  other 
)
Create the Z3 expression `self - other`.

>>> x = FP('x', FPSort(8, 24))
>>> y = FP('y', FPSort(8, 24))
>>> x - y
x - y
>>> (x - y).sort()
FPSort(8, 24)

Definition at line 9375 of file z3py.py.

9375  def __sub__(self, other):
9376  """Create the Z3 expression `self - other`.
9377 
9378  >>> x = FP('x', FPSort(8, 24))
9379  >>> y = FP('y', FPSort(8, 24))
9380  >>> x - y
9381  x - y
9382  >>> (x - y).sort()
9383  FPSort(8, 24)
9384  """
9385  [a, b] = _coerce_fp_expr_list([self, other], self.ctx)
9386  return fpSub(_dflt_rm(), a, b, self.ctx)
9387 

◆ __truediv__()

def __truediv__ (   self,
  other 
)
Create the Z3 expression division `self / other`.

Definition at line 9467 of file z3py.py.

9467  def __truediv__(self, other):
9468  """Create the Z3 expression division `self / other`."""
9469  return self.__div__(other)
9470 

◆ as_string()

def as_string (   self)
Return a Z3 floating point expression as a Python string.

Reimplemented in FPNumRef.

Definition at line 9336 of file z3py.py.

9336  def as_string(self):
9337  """Return a Z3 floating point expression as a Python string."""
9338  return Z3_ast_to_string(self.ctx_ref(), self.as_ast())
9339 
Z3_string Z3_API Z3_ast_to_string(Z3_context c, Z3_ast a)
Convert the given AST node into a string.

Referenced by IntNumRef.as_long(), BitVecNumRef.as_long(), and FiniteDomainNumRef.as_long().

◆ ebits()

def ebits (   self)
Retrieves the number of bits reserved for the exponent in the FloatingPoint expression `self`.
>>> b = FPSort(8, 24)
>>> b.ebits()
8

Definition at line 9320 of file z3py.py.

9320  def ebits(self):
9321  """Retrieves the number of bits reserved for the exponent in the FloatingPoint expression `self`.
9322  >>> b = FPSort(8, 24)
9323  >>> b.ebits()
9324  8
9325  """
9326  return self.sort().ebits()
9327 

◆ sbits()

def sbits (   self)
Retrieves the number of bits reserved for the exponent in the FloatingPoint expression `self`.
>>> b = FPSort(8, 24)
>>> b.sbits()
24

Definition at line 9328 of file z3py.py.

9328  def sbits(self):
9329  """Retrieves the number of bits reserved for the exponent in the FloatingPoint expression `self`.
9330  >>> b = FPSort(8, 24)
9331  >>> b.sbits()
9332  24
9333  """
9334  return self.sort().sbits()
9335 

◆ sort()

def sort (   self)
Return the sort of the floating-point expression `self`.

>>> x = FP('1.0', FPSort(8, 24))
>>> x.sort()
FPSort(8, 24)
>>> x.sort() == FPSort(8, 24)
True

Reimplemented from ExprRef.

Definition at line 9309 of file z3py.py.

9309  def sort(self):
9310  """Return the sort of the floating-point expression `self`.
9311 
9312  >>> x = FP('1.0', FPSort(8, 24))
9313  >>> x.sort()
9314  FPSort(8, 24)
9315  >>> x.sort() == FPSort(8, 24)
9316  True
9317  """
9318  return FPSortRef(Z3_get_sort(self.ctx_ref(), self.as_ast()), self.ctx)
9319 
Z3_sort Z3_API Z3_get_sort(Z3_context c, Z3_ast a)
Return the sort of an AST node.

Referenced by QuantifierRef.__getitem__(), FPNumRef.as_string(), ArrayRef.domain(), FPRef.ebits(), ArithRef.is_int(), ArithRef.is_real(), ArrayRef.range(), FPRef.sbits(), BitVecRef.size(), and ExprRef.sort_kind().