Z3
Public Member Functions
FPRef Class Reference

FP Expressions. More...

+ 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 (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 __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)
 

Additional Inherited Members

- Data Fields inherited from AstRef
 ast
 
 ctx
 

Detailed Description

FP Expressions.

Floating-point expressions.

Definition at line 8795 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 8841 of file z3py.py.

8841 def __add__(self, other):
8842 """Create the Z3 expression `self + other`.
8843
8844 >>> x = FP('x', FPSort(8, 24))
8845 >>> y = FP('y', FPSort(8, 24))
8846 >>> x + y
8847 x + y
8848 >>> (x + y).sort()
8849 FPSort(8, 24)
8850 """
8851 [a, b] = _coerce_fp_expr_list([self, other], self.ctx)
8852 return fpAdd(_dflt_rm(), a, b, self.ctx)
8853
def fpAdd(rm, a, b, ctx=None)
Definition: z3py.py:9467
def FP(name, fpsort, ctx=None)
Definition: z3py.py:9344
def FPSort(ebits, sbits, ctx=None)
Definition: z3py.py:9183

◆ __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 8928 of file z3py.py.

8928 def __div__(self, other):
8929 """Create the Z3 expression `self / other`.
8930
8931 >>> x = FP('x', FPSort(8, 24))
8932 >>> y = FP('y', FPSort(8, 24))
8933 >>> x / y
8934 x / y
8935 >>> (x / y).sort()
8936 FPSort(8, 24)
8937 >>> 10 / y
8938 1.25*(2**3) / y
8939 """
8940 [a, b] = _coerce_fp_expr_list([self, other], self.ctx)
8941 return fpDiv(_dflt_rm(), a, b, self.ctx)
8942
def fpDiv(rm, a, b, ctx=None)
Definition: z3py.py:9511

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

◆ __ge__()

def __ge__ (   self,
  other 
)

Definition at line 8835 of file z3py.py.

8835 def __ge__(self, other):
8836 return fpGEQ(self, other, self.ctx)
8837
def fpGEQ(a, b, ctx=None)
Definition: z3py.py:9664

◆ __gt__()

def __gt__ (   self,
  other 
)

Definition at line 8838 of file z3py.py.

8838 def __gt__(self, other):
8839 return fpGT(self, other, self.ctx)
8840
def fpGT(a, b, ctx=None)
Definition: z3py.py:9653

◆ __le__()

def __le__ (   self,
  other 
)

Definition at line 8829 of file z3py.py.

8829 def __le__(self, other):
8830 return fpLEQ(self, other, self.ctx)
8831
def fpLEQ(a, b, ctx=None)
Definition: z3py.py:9642

◆ __lt__()

def __lt__ (   self,
  other 
)

Definition at line 8832 of file z3py.py.

8832 def __lt__(self, other):
8833 return fpLT(self, other, self.ctx)
8834
def fpLT(a, b, ctx=None)
Definition: z3py.py:9631

◆ __mod__()

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

Definition at line 8964 of file z3py.py.

8964 def __mod__(self, other):
8965 """Create the Z3 expression mod `self % other`."""
8966 return fpRem(self, other)
8967
def fpRem(a, b, ctx=None)
Definition: z3py.py:9525

◆ __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 8887 of file z3py.py.

8887 def __mul__(self, other):
8888 """Create the Z3 expression `self * other`.
8889
8890 >>> x = FP('x', FPSort(8, 24))
8891 >>> y = FP('y', FPSort(8, 24))
8892 >>> x * y
8893 x * y
8894 >>> (x * y).sort()
8895 FPSort(8, 24)
8896 >>> 10 * y
8897 1.25*(2**3) * y
8898 """
8899 [a, b] = _coerce_fp_expr_list([self, other], self.ctx)
8900 return fpMul(_dflt_rm(), a, b, self.ctx)
8901
def fpMul(rm, a, b, ctx=None)
Definition: z3py.py:9497

◆ __neg__()

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

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

Definition at line 8919 of file z3py.py.

8919 def __neg__(self):
8920 """Create the Z3 expression `-self`.
8921
8922 >>> x = FP('x', Float32())
8923 >>> -x
8924 -x
8925 """
8926 return fpNeg(self)
8927
def Float32(ctx=None)
Definition: z3py.py:8739
def fpNeg(a, ctx=None)
Definition: z3py.py:9407

◆ __pos__()

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

Definition at line 8915 of file z3py.py.

8915 def __pos__(self):
8916 """Create the Z3 expression `+self`."""
8917 return self
8918

◆ __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 8854 of file z3py.py.

8854 def __radd__(self, other):
8855 """Create the Z3 expression `other + self`.
8856
8857 >>> x = FP('x', FPSort(8, 24))
8858 >>> 10 + x
8859 1.25*(2**3) + x
8860 """
8861 [a, b] = _coerce_fp_expr_list([other, self], self.ctx)
8862 return fpAdd(_dflt_rm(), a, b, self.ctx)
8863

◆ __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 8943 of file z3py.py.

8943 def __rdiv__(self, other):
8944 """Create the Z3 expression `other / self`.
8945
8946 >>> x = FP('x', FPSort(8, 24))
8947 >>> y = FP('y', FPSort(8, 24))
8948 >>> x / y
8949 x / y
8950 >>> x / 10
8951 x / 1.25*(2**3)
8952 """
8953 [a, b] = _coerce_fp_expr_list([other, self], self.ctx)
8954 return fpDiv(_dflt_rm(), a, b, self.ctx)
8955

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

◆ __rmod__()

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

Definition at line 8968 of file z3py.py.

8968 def __rmod__(self, other):
8969 """Create the Z3 expression mod `other % self`."""
8970 return fpRem(other, self)
8971

◆ __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 8902 of file z3py.py.

8902 def __rmul__(self, other):
8903 """Create the Z3 expression `other * self`.
8904
8905 >>> x = FP('x', FPSort(8, 24))
8906 >>> y = FP('y', FPSort(8, 24))
8907 >>> x * y
8908 x * y
8909 >>> x * 10
8910 x * 1.25*(2**3)
8911 """
8912 [a, b] = _coerce_fp_expr_list([other, self], self.ctx)
8913 return fpMul(_dflt_rm(), a, b, self.ctx)
8914

◆ __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 8877 of file z3py.py.

8877 def __rsub__(self, other):
8878 """Create the Z3 expression `other - self`.
8879
8880 >>> x = FP('x', FPSort(8, 24))
8881 >>> 10 - x
8882 1.25*(2**3) - x
8883 """
8884 [a, b] = _coerce_fp_expr_list([other, self], self.ctx)
8885 return fpSub(_dflt_rm(), a, b, self.ctx)
8886
def fpSub(rm, a, b, ctx=None)
Definition: z3py.py:9483

◆ __rtruediv__()

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

Definition at line 8960 of file z3py.py.

8960 def __rtruediv__(self, other):
8961 """Create the Z3 expression division `other / self`."""
8962 return self.__rdiv__(other)
8963

◆ __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 8864 of file z3py.py.

8864 def __sub__(self, other):
8865 """Create the Z3 expression `self - other`.
8866
8867 >>> x = FP('x', FPSort(8, 24))
8868 >>> y = FP('y', FPSort(8, 24))
8869 >>> x - y
8870 x - y
8871 >>> (x - y).sort()
8872 FPSort(8, 24)
8873 """
8874 [a, b] = _coerce_fp_expr_list([self, other], self.ctx)
8875 return fpSub(_dflt_rm(), a, b, self.ctx)
8876

◆ __truediv__()

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

Definition at line 8956 of file z3py.py.

8956 def __truediv__(self, other):
8957 """Create the Z3 expression division `self / other`."""
8958 return self.__div__(other)
8959

◆ as_string()

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

Reimplemented in FPNumRef.

Definition at line 8825 of file z3py.py.

8825 def as_string(self):
8826 """Return a Z3 floating point expression as a Python string."""
8827 return Z3_ast_to_string(self.ctx_ref(), self.as_ast())
8828
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 8809 of file z3py.py.

8809 def ebits(self):
8810 """Retrieves the number of bits reserved for the exponent in the FloatingPoint expression `self`.
8811 >>> b = FPSort(8, 24)
8812 >>> b.ebits()
8813 8
8814 """
8815 return self.sort().ebits();
8816

Referenced by FPRef.ebits().

◆ 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 8817 of file z3py.py.

8817 def sbits(self):
8818 """Retrieves the number of bits reserved for the exponent in the FloatingPoint expression `self`.
8819 >>> b = FPSort(8, 24)
8820 >>> b.sbits()
8821 24
8822 """
8823 return self.sort().sbits();
8824

Referenced by FPRef.sbits().

◆ 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 8798 of file z3py.py.

8798 def sort(self):
8799 """Return the sort of the floating-point expression `self`.
8800
8801 >>> x = FP('1.0', FPSort(8, 24))
8802 >>> x.sort()
8803 FPSort(8, 24)
8804 >>> x.sort() == FPSort(8, 24)
8805 True
8806 """
8807 return FPSortRef(Z3_get_sort(self.ctx_ref(), self.as_ast()), self.ctx)
8808
Z3_sort Z3_API Z3_get_sort(Z3_context c, Z3_ast a)
Return the sort of an AST node.

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