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 9317 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 9363 of file z3py.py.

9363  def __add__(self, other):
9364  """Create the Z3 expression `self + other`.
9365 
9366  >>> x = FP('x', FPSort(8, 24))
9367  >>> y = FP('y', FPSort(8, 24))
9368  >>> x + y
9369  x + y
9370  >>> (x + y).sort()
9371  FPSort(8, 24)
9372  """
9373  [a, b] = _coerce_fp_expr_list([self, other], self.ctx)
9374  return fpAdd(_dflt_rm(), a, b, self.ctx)
9375 
def fpAdd(rm, a, b, ctx=None)
Definition: z3py.py:10043

◆ __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 9450 of file z3py.py.

9450  def __div__(self, other):
9451  """Create the Z3 expression `self / other`.
9452 
9453  >>> x = FP('x', FPSort(8, 24))
9454  >>> y = FP('y', FPSort(8, 24))
9455  >>> x / y
9456  x / y
9457  >>> (x / y).sort()
9458  FPSort(8, 24)
9459  >>> 10 / y
9460  1.25*(2**3) / y
9461  """
9462  [a, b] = _coerce_fp_expr_list([self, other], self.ctx)
9463  return fpDiv(_dflt_rm(), a, b, self.ctx)
9464 
def fpDiv(rm, a, b, ctx=None)
Definition: z3py.py:10090

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

◆ __ge__()

def __ge__ (   self,
  other 
)

Definition at line 9357 of file z3py.py.

9357  def __ge__(self, other):
9358  return fpGEQ(self, other, self.ctx)
9359 
def fpGEQ(a, b, ctx=None)
Definition: z3py.py:10261

◆ __gt__()

def __gt__ (   self,
  other 
)

Definition at line 9360 of file z3py.py.

9360  def __gt__(self, other):
9361  return fpGT(self, other, self.ctx)
9362 
def fpGT(a, b, ctx=None)
Definition: z3py.py:10249

◆ __le__()

def __le__ (   self,
  other 
)

Definition at line 9351 of file z3py.py.

9351  def __le__(self, other):
9352  return fpLEQ(self, other, self.ctx)
9353 
def fpLEQ(a, b, ctx=None)
Definition: z3py.py:10237

◆ __lt__()

def __lt__ (   self,
  other 
)

Definition at line 9354 of file z3py.py.

9354  def __lt__(self, other):
9355  return fpLT(self, other, self.ctx)
9356 
def fpLT(a, b, ctx=None)
Definition: z3py.py:10225

◆ __mod__()

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

Definition at line 9486 of file z3py.py.

9486  def __mod__(self, other):
9487  """Create the Z3 expression mod `self % other`."""
9488  return fpRem(self, other)
9489 
def fpRem(a, b, ctx=None)
Definition: z3py.py:10105

◆ __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 9409 of file z3py.py.

9409  def __mul__(self, other):
9410  """Create the Z3 expression `self * other`.
9411 
9412  >>> x = FP('x', FPSort(8, 24))
9413  >>> y = FP('y', FPSort(8, 24))
9414  >>> x * y
9415  x * y
9416  >>> (x * y).sort()
9417  FPSort(8, 24)
9418  >>> 10 * y
9419  1.25*(2**3) * y
9420  """
9421  [a, b] = _coerce_fp_expr_list([self, other], self.ctx)
9422  return fpMul(_dflt_rm(), a, b, self.ctx)
9423 
def fpMul(rm, a, b, ctx=None)
Definition: z3py.py:10075

◆ __neg__()

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

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

Definition at line 9441 of file z3py.py.

9441  def __neg__(self):
9442  """Create the Z3 expression `-self`.
9443 
9444  >>> x = FP('x', Float32())
9445  >>> -x
9446  -x
9447  """
9448  return fpNeg(self)
9449 
def fpNeg(a, ctx=None)
Definition: z3py.py:9975

◆ __pos__()

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

Definition at line 9437 of file z3py.py.

9437  def __pos__(self):
9438  """Create the Z3 expression `+self`."""
9439  return self
9440 

◆ __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 9376 of file z3py.py.

9376  def __radd__(self, other):
9377  """Create the Z3 expression `other + self`.
9378 
9379  >>> x = FP('x', FPSort(8, 24))
9380  >>> 10 + x
9381  1.25*(2**3) + x
9382  """
9383  [a, b] = _coerce_fp_expr_list([other, self], self.ctx)
9384  return fpAdd(_dflt_rm(), a, b, self.ctx)
9385 

◆ __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 9465 of file z3py.py.

9465  def __rdiv__(self, other):
9466  """Create the Z3 expression `other / self`.
9467 
9468  >>> x = FP('x', FPSort(8, 24))
9469  >>> y = FP('y', FPSort(8, 24))
9470  >>> x / y
9471  x / y
9472  >>> x / 10
9473  x / 1.25*(2**3)
9474  """
9475  [a, b] = _coerce_fp_expr_list([other, self], self.ctx)
9476  return fpDiv(_dflt_rm(), a, b, self.ctx)
9477 

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

◆ __rmod__()

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

Definition at line 9490 of file z3py.py.

9490  def __rmod__(self, other):
9491  """Create the Z3 expression mod `other % self`."""
9492  return fpRem(other, self)
9493 
9494 

◆ __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 9424 of file z3py.py.

9424  def __rmul__(self, other):
9425  """Create the Z3 expression `other * self`.
9426 
9427  >>> x = FP('x', FPSort(8, 24))
9428  >>> y = FP('y', FPSort(8, 24))
9429  >>> x * y
9430  x * y
9431  >>> x * 10
9432  x * 1.25*(2**3)
9433  """
9434  [a, b] = _coerce_fp_expr_list([other, self], self.ctx)
9435  return fpMul(_dflt_rm(), a, b, self.ctx)
9436 

◆ __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 9399 of file z3py.py.

9399  def __rsub__(self, other):
9400  """Create the Z3 expression `other - self`.
9401 
9402  >>> x = FP('x', FPSort(8, 24))
9403  >>> 10 - x
9404  1.25*(2**3) - x
9405  """
9406  [a, b] = _coerce_fp_expr_list([other, self], self.ctx)
9407  return fpSub(_dflt_rm(), a, b, self.ctx)
9408 
def fpSub(rm, a, b, ctx=None)
Definition: z3py.py:10060

◆ __rtruediv__()

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

Definition at line 9482 of file z3py.py.

9482  def __rtruediv__(self, other):
9483  """Create the Z3 expression division `other / self`."""
9484  return self.__rdiv__(other)
9485 

◆ __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 9386 of file z3py.py.

9386  def __sub__(self, other):
9387  """Create the Z3 expression `self - other`.
9388 
9389  >>> x = FP('x', FPSort(8, 24))
9390  >>> y = FP('y', FPSort(8, 24))
9391  >>> x - y
9392  x - y
9393  >>> (x - y).sort()
9394  FPSort(8, 24)
9395  """
9396  [a, b] = _coerce_fp_expr_list([self, other], self.ctx)
9397  return fpSub(_dflt_rm(), a, b, self.ctx)
9398 

◆ __truediv__()

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

Definition at line 9478 of file z3py.py.

9478  def __truediv__(self, other):
9479  """Create the Z3 expression division `self / other`."""
9480  return self.__div__(other)
9481 

◆ as_string()

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

Reimplemented in FPNumRef.

Definition at line 9347 of file z3py.py.

9347  def as_string(self):
9348  """Return a Z3 floating point expression as a Python string."""
9349  return Z3_ast_to_string(self.ctx_ref(), self.as_ast())
9350 
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 9331 of file z3py.py.

9331  def ebits(self):
9332  """Retrieves the number of bits reserved for the exponent in the FloatingPoint expression `self`.
9333  >>> b = FPSort(8, 24)
9334  >>> b.ebits()
9335  8
9336  """
9337  return self.sort().ebits()
9338 

◆ 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 9339 of file z3py.py.

9339  def sbits(self):
9340  """Retrieves the number of bits reserved for the exponent in the FloatingPoint expression `self`.
9341  >>> b = FPSort(8, 24)
9342  >>> b.sbits()
9343  24
9344  """
9345  return self.sort().sbits()
9346 

◆ 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 9320 of file z3py.py.

9320  def sort(self):
9321  """Return the sort of the floating-point expression `self`.
9322 
9323  >>> x = FP('1.0', FPSort(8, 24))
9324  >>> x.sort()
9325  FPSort(8, 24)
9326  >>> x.sort() == FPSort(8, 24)
9327  True
9328  """
9329  return FPSortRef(Z3_get_sort(self.ctx_ref(), self.as_ast()), self.ctx)
9330 
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().