Z3
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FPRef Class Reference
Inheritance diagram for FPRef:

Public Member Functions

 sort (self)
 ebits (self)
 sbits (self)
 as_string (self)
 __le__ (self, other)
 __lt__ (self, other)
 __ge__ (self, other)
 __gt__ (self, other)
 __add__ (self, other)
 __radd__ (self, other)
 __sub__ (self, other)
 __rsub__ (self, other)
 __mul__ (self, other)
 __rmul__ (self, other)
 __pos__ (self)
 __neg__ (self)
 __div__ (self, other)
 __rdiv__ (self, other)
 __truediv__ (self, other)
 __rtruediv__ (self, other)
 __mod__ (self, other)
 __rmod__ (self, other)
Public Member Functions inherited from ExprRef
 as_ast (self)
 get_id (self)
 sort_kind (self)
 __eq__ (self, other)
 __hash__ (self)
 __ne__ (self, other)
 params (self)
 decl (self)
 kind (self)
 num_args (self)
 arg (self, idx)
 children (self)
 update (self, *args)
 from_string (self, s)
 serialize (self)
Public Member Functions inherited from AstRef
 __init__ (self, ast, ctx=None)
 __del__ (self)
 __deepcopy__ (self, memo={})
 __str__ (self)
 __repr__ (self)
 __eq__ (self, other)
 __hash__ (self)
 __nonzero__ (self)
 __bool__ (self)
 sexpr (self)
 ctx_ref (self)
 eq (self, other)
 translate (self, target)
 __copy__ (self)
 hash (self)
 py_value (self)
Public Member Functions inherited from Z3PPObject
 use_pp (self)

Additional Inherited Members

Data Fields inherited from AstRef
 ast = ast
 ctx = _get_ctx(ctx)
Protected Member Functions inherited from Z3PPObject
 _repr_html_ (self)

Detailed Description

Floating-point expressions.

Definition at line 10282 of file z3py.py.

Member Function Documentation

◆ __add__()

__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 10328 of file z3py.py.

10328 def __add__(self, other):
10329 """Create the Z3 expression `self + other`.
10330
10331 >>> x = FP('x', FPSort(8, 24))
10332 >>> y = FP('y', FPSort(8, 24))
10333 >>> x + y
10334 x + y
10335 >>> (x + y).sort()
10336 FPSort(8, 24)
10337 """
10338 [a, b] = _coerce_fp_expr_list([self, other], self.ctx)
10339 return fpAdd(_dflt_rm(), a, b, self.ctx)
10340

◆ __div__()

__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 10415 of file z3py.py.

10415 def __div__(self, other):
10416 """Create the Z3 expression `self / other`.
10417
10418 >>> x = FP('x', FPSort(8, 24))
10419 >>> y = FP('y', FPSort(8, 24))
10420 >>> x / y
10421 x / y
10422 >>> (x / y).sort()
10423 FPSort(8, 24)
10424 >>> 10 / y
10425 1.25*(2**3) / y
10426 """
10427 [a, b] = _coerce_fp_expr_list([self, other], self.ctx)
10428 return fpDiv(_dflt_rm(), a, b, self.ctx)
10429

◆ __ge__()

__ge__ ( self,
other )

Definition at line 10322 of file z3py.py.

10322 def __ge__(self, other):
10323 return fpGEQ(self, other, self.ctx)
10324

◆ __gt__()

__gt__ ( self,
other )

Definition at line 10325 of file z3py.py.

10325 def __gt__(self, other):
10326 return fpGT(self, other, self.ctx)
10327

◆ __le__()

__le__ ( self,
other )

Definition at line 10316 of file z3py.py.

10316 def __le__(self, other):
10317 return fpLEQ(self, other, self.ctx)
10318

◆ __lt__()

__lt__ ( self,
other )

Definition at line 10319 of file z3py.py.

10319 def __lt__(self, other):
10320 return fpLT(self, other, self.ctx)
10321

◆ __mod__()

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

Definition at line 10451 of file z3py.py.

10451 def __mod__(self, other):
10452 """Create the Z3 expression mod `self % other`."""
10453 return fpRem(self, other)
10454

◆ __mul__()

__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 10374 of file z3py.py.

10374 def __mul__(self, other):
10375 """Create the Z3 expression `self * other`.
10376
10377 >>> x = FP('x', FPSort(8, 24))
10378 >>> y = FP('y', FPSort(8, 24))
10379 >>> x * y
10380 x * y
10381 >>> (x * y).sort()
10382 FPSort(8, 24)
10383 >>> 10 * y
10384 1.25*(2**3) * y
10385 """
10386 [a, b] = _coerce_fp_expr_list([self, other], self.ctx)
10387 return fpMul(_dflt_rm(), a, b, self.ctx)
10388

◆ __neg__()

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

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

Definition at line 10406 of file z3py.py.

10406 def __neg__(self):
10407 """Create the Z3 expression `-self`.
10408
10409 >>> x = FP('x', Float32())
10410 >>> -x
10411 -x
10412 """
10413 return fpNeg(self)
10414

◆ __pos__()

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

Definition at line 10402 of file z3py.py.

10402 def __pos__(self):
10403 """Create the Z3 expression `+self`."""
10404 return self
10405

◆ __radd__()

__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 10341 of file z3py.py.

10341 def __radd__(self, other):
10342 """Create the Z3 expression `other + self`.
10343
10344 >>> x = FP('x', FPSort(8, 24))
10345 >>> 10 + x
10346 1.25*(2**3) + x
10347 """
10348 [a, b] = _coerce_fp_expr_list([other, self], self.ctx)
10349 return fpAdd(_dflt_rm(), a, b, self.ctx)
10350

◆ __rdiv__()

__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 10430 of file z3py.py.

10430 def __rdiv__(self, other):
10431 """Create the Z3 expression `other / self`.
10432
10433 >>> x = FP('x', FPSort(8, 24))
10434 >>> y = FP('y', FPSort(8, 24))
10435 >>> x / y
10436 x / y
10437 >>> x / 10
10438 x / 1.25*(2**3)
10439 """
10440 [a, b] = _coerce_fp_expr_list([other, self], self.ctx)
10441 return fpDiv(_dflt_rm(), a, b, self.ctx)
10442

◆ __rmod__()

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

Definition at line 10455 of file z3py.py.

10455 def __rmod__(self, other):
10456 """Create the Z3 expression mod `other % self`."""
10457 return fpRem(other, self)
10458
10459

◆ __rmul__()

__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 10389 of file z3py.py.

10389 def __rmul__(self, other):
10390 """Create the Z3 expression `other * self`.
10391
10392 >>> x = FP('x', FPSort(8, 24))
10393 >>> y = FP('y', FPSort(8, 24))
10394 >>> x * y
10395 x * y
10396 >>> x * 10
10397 x * 1.25*(2**3)
10398 """
10399 [a, b] = _coerce_fp_expr_list([other, self], self.ctx)
10400 return fpMul(_dflt_rm(), a, b, self.ctx)
10401

◆ __rsub__()

__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 10364 of file z3py.py.

10364 def __rsub__(self, other):
10365 """Create the Z3 expression `other - self`.
10366
10367 >>> x = FP('x', FPSort(8, 24))
10368 >>> 10 - x
10369 1.25*(2**3) - x
10370 """
10371 [a, b] = _coerce_fp_expr_list([other, self], self.ctx)
10372 return fpSub(_dflt_rm(), a, b, self.ctx)
10373

◆ __rtruediv__()

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

Definition at line 10447 of file z3py.py.

10447 def __rtruediv__(self, other):
10448 """Create the Z3 expression division `other / self`."""
10449 return self.__rdiv__(other)
10450

◆ __sub__()

__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 10351 of file z3py.py.

10351 def __sub__(self, other):
10352 """Create the Z3 expression `self - other`.
10353
10354 >>> x = FP('x', FPSort(8, 24))
10355 >>> y = FP('y', FPSort(8, 24))
10356 >>> x - y
10357 x - y
10358 >>> (x - y).sort()
10359 FPSort(8, 24)
10360 """
10361 [a, b] = _coerce_fp_expr_list([self, other], self.ctx)
10362 return fpSub(_dflt_rm(), a, b, self.ctx)
10363

◆ __truediv__()

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

Definition at line 10443 of file z3py.py.

10443 def __truediv__(self, other):
10444 """Create the Z3 expression division `self / other`."""
10445 return self.__div__(other)
10446

◆ as_string()

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

Reimplemented in FPNumRef.

Definition at line 10312 of file z3py.py.

10312 def as_string(self):
10313 """Return a Z3 floating point expression as a Python string."""
10314 return Z3_ast_to_string(self.ctx_ref(), self.as_ast())
10315
Z3_string Z3_API Z3_ast_to_string(Z3_context c, Z3_ast a)
Convert the given AST node into a string.

◆ ebits()

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 10296 of file z3py.py.

10296 def ebits(self):
10297 """Retrieves the number of bits reserved for the exponent in the FloatingPoint expression `self`.
10298 >>> b = FPSort(8, 24)
10299 >>> b.ebits()
10300 8
10301 """
10302 return self.sort().ebits()
10303

◆ sbits()

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 10304 of file z3py.py.

10304 def sbits(self):
10305 """Retrieves the number of bits reserved for the exponent in the FloatingPoint expression `self`.
10306 >>> b = FPSort(8, 24)
10307 >>> b.sbits()
10308 24
10309 """
10310 return self.sort().sbits()
10311

◆ sort()

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 10285 of file z3py.py.

10285 def sort(self):
10286 """Return the sort of the floating-point expression `self`.
10287
10288 >>> x = FP('1.0', FPSort(8, 24))
10289 >>> x.sort()
10290 FPSort(8, 24)
10291 >>> x.sort() == FPSort(8, 24)
10292 True
10293 """
10294 return FPSortRef(Z3_get_sort(self.ctx_ref(), self.as_ast()), self.ctx)
10295
Z3_sort Z3_API Z3_get_sort(Z3_context c, Z3_ast a)
Return the sort of an AST node.