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

Public Member Functions

def numerator (self)
 
def denominator (self)
 
def numerator_as_long (self)
 
def denominator_as_long (self)
 
def as_decimal (self, prec)
 
def as_string (self)
 
def as_fraction (self)
 
- Public Member Functions inherited from ArithRef
def sort (self)
 
def is_int (self)
 
def is_real (self)
 
def __add__ (self, other)
 
def __radd__ (self, other)
 
def __mul__ (self, other)
 
def __rmul__ (self, other)
 
def __sub__ (self, other)
 
def __rsub__ (self, other)
 
def __pow__ (self, other)
 
def __rpow__ (self, other)
 
def __div__ (self, other)
 
def __truediv__ (self, other)
 
def __rdiv__ (self, other)
 
def __rtruediv__ (self, other)
 
def __mod__ (self, other)
 
def __rmod__ (self, other)
 
def __neg__ (self)
 
def __pos__ (self)
 
def __le__ (self, other)
 
def __lt__ (self, other)
 
def __gt__ (self, other)
 
def __ge__ (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 __ne__ (self, other)
 
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 __str__ (self)
 
def __repr__ (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 hash (self)
 
- Public Member Functions inherited from Z3PPObject
def use_pp (self)
 

Additional Inherited Members

- Data Fields inherited from AstRef
 ast
 
 ctx
 

Detailed Description

Rational values.

Definition at line 2521 of file z3py.py.

Member Function Documentation

def as_decimal (   self,
  prec 
)
Return a Z3 rational value as a string in decimal notation using at most `prec` decimal places.

>>> v = RealVal("1/5")
>>> v.as_decimal(3)
'0.2'
>>> v = RealVal("1/3")
>>> v.as_decimal(3)
'0.333?'

Definition at line 2574 of file z3py.py.

2574  def as_decimal(self, prec):
2575  """ Return a Z3 rational value as a string in decimal notation using at most `prec` decimal places.
2576 
2577  >>> v = RealVal("1/5")
2578  >>> v.as_decimal(3)
2579  '0.2'
2580  >>> v = RealVal("1/3")
2581  >>> v.as_decimal(3)
2582  '0.333?'
2583  """
2584  return Z3_get_numeral_decimal_string(self.ctx_ref(), self.as_ast(), prec)
2585 
def as_ast(self)
Definition: z3py.py:296
def as_decimal(self, prec)
Definition: z3py.py:2574
Z3_string Z3_API Z3_get_numeral_decimal_string(Z3_context c, Z3_ast a, unsigned precision)
Return numeral as a string in decimal notation. The result has at most precision decimal places...
def ctx_ref(self)
Definition: z3py.py:304
def as_fraction (   self)
Return a Z3 rational as a Python Fraction object.

>>> v = RealVal("1/5")
>>> v.as_fraction()
Fraction(1, 5)

Definition at line 2595 of file z3py.py.

2595  def as_fraction(self):
2596  """Return a Z3 rational as a Python Fraction object.
2597 
2598  >>> v = RealVal("1/5")
2599  >>> v.as_fraction()
2600  Fraction(1, 5)
2601  """
2602  return Fraction(self.numerator_as_long(), self.denominator_as_long())
2603 
def as_fraction(self)
Definition: z3py.py:2595
def denominator_as_long(self)
Definition: z3py.py:2563
def numerator_as_long(self)
Definition: z3py.py:2550
def as_string (   self)
Return a Z3 rational numeral as a Python string.

>>> v = Q(3,6)
>>> v.as_string()
'1/2'

Definition at line 2586 of file z3py.py.

Referenced by BitVecNumRef.as_long().

2586  def as_string(self):
2587  """Return a Z3 rational numeral as a Python string.
2588 
2589  >>> v = Q(3,6)
2590  >>> v.as_string()
2591  '1/2'
2592  """
2593  return Z3_get_numeral_string(self.ctx_ref(), self.as_ast())
2594 
def as_ast(self)
Definition: z3py.py:296
def as_string(self)
Definition: z3py.py:2586
Z3_string Z3_API Z3_get_numeral_string(Z3_context c, Z3_ast a)
Return numeral value, as a string of a numeric constant term.
def ctx_ref(self)
Definition: z3py.py:304
def denominator (   self)
Return the denominator of a Z3 rational numeral. 

>>> is_rational_value(Q(3,5))
True
>>> n = Q(3,5)
>>> n.denominator()
5

Definition at line 2539 of file z3py.py.

2539  def denominator(self):
2540  """ Return the denominator of a Z3 rational numeral.
2541 
2542  >>> is_rational_value(Q(3,5))
2543  True
2544  >>> n = Q(3,5)
2545  >>> n.denominator()
2546  5
2547  """
2548  return IntNumRef(Z3_get_denominator(self.ctx_ref(), self.as_ast()), self.ctx)
2549 
def as_ast(self)
Definition: z3py.py:296
def denominator(self)
Definition: z3py.py:2539
def ctx_ref(self)
Definition: z3py.py:304
Z3_ast Z3_API Z3_get_denominator(Z3_context c, Z3_ast a)
Return the denominator (as a numeral AST) of a numeral AST of sort Real.
def denominator_as_long (   self)
Return the denominator as a Python long.

>>> v = RealVal("1/3")
>>> v
1/3
>>> v.denominator_as_long()
3

Definition at line 2563 of file z3py.py.

Referenced by RatNumRef.as_fraction().

2564  """ Return the denominator as a Python long.
2565 
2566  >>> v = RealVal("1/3")
2567  >>> v
2568  1/3
2569  >>> v.denominator_as_long()
2570  3
2571  """
2572  return self.denominator().as_long()
2573 
def denominator_as_long(self)
Definition: z3py.py:2563
def denominator(self)
Definition: z3py.py:2539
def numerator (   self)
Return the numerator of a Z3 rational numeral. 

>>> is_rational_value(RealVal("3/5"))
True
>>> n = RealVal("3/5")
>>> n.numerator()
3
>>> is_rational_value(Q(3,5))
True
>>> Q(3,5).numerator()
3

Definition at line 2524 of file z3py.py.

2524  def numerator(self):
2525  """ Return the numerator of a Z3 rational numeral.
2526 
2527  >>> is_rational_value(RealVal("3/5"))
2528  True
2529  >>> n = RealVal("3/5")
2530  >>> n.numerator()
2531  3
2532  >>> is_rational_value(Q(3,5))
2533  True
2534  >>> Q(3,5).numerator()
2535  3
2536  """
2537  return IntNumRef(Z3_get_numerator(self.ctx_ref(), self.as_ast()), self.ctx)
2538 
def as_ast(self)
Definition: z3py.py:296
Z3_ast Z3_API Z3_get_numerator(Z3_context c, Z3_ast a)
Return the numerator (as a numeral AST) of a numeral AST of sort Real.
def ctx_ref(self)
Definition: z3py.py:304
def numerator(self)
Definition: z3py.py:2524
def numerator_as_long (   self)
Return the numerator as a Python long.

>>> v = RealVal(10000000000)
>>> v
10000000000
>>> v + 1
10000000000 + 1
>>> v.numerator_as_long() + 1 == 10000000001
True

Definition at line 2550 of file z3py.py.

Referenced by RatNumRef.as_fraction().

2551  """ Return the numerator as a Python long.
2552 
2553  >>> v = RealVal(10000000000)
2554  >>> v
2555  10000000000
2556  >>> v + 1
2557  10000000000 + 1
2558  >>> v.numerator_as_long() + 1 == 10000000001
2559  True
2560  """
2561  return self.numerator().as_long()
2562 
def numerator_as_long(self)
Definition: z3py.py:2550
def numerator(self)
Definition: z3py.py:2524