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 is_int (self)
 
def is_real (self)
 
def is_int_value (self)
 
def 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 __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

Rational values.

Definition at line 2746 of file z3py.py.

Member Function Documentation

◆ as_decimal()

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 2812 of file z3py.py.

2812  def as_decimal(self, prec):
2813  """ Return a Z3 rational value as a string in decimal notation using at most `prec` decimal places.
2814 
2815  >>> v = RealVal("1/5")
2816  >>> v.as_decimal(3)
2817  '0.2'
2818  >>> v = RealVal("1/3")
2819  >>> v.as_decimal(3)
2820  '0.333?'
2821  """
2822  return Z3_get_numeral_decimal_string(self.ctx_ref(), self.as_ast(), prec)
2823 
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...

◆ as_fraction()

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 2833 of file z3py.py.

2833  def as_fraction(self):
2834  """Return a Z3 rational as a Python Fraction object.
2835 
2836  >>> v = RealVal("1/5")
2837  >>> v.as_fraction()
2838  Fraction(1, 5)
2839  """
2840  return Fraction(self.numerator_as_long(), self.denominator_as_long())
2841 

◆ as_long()

def as_long (   self)

Definition at line 2808 of file z3py.py.

2808  def as_long(self):
2809  _z3_assert(self.is_int_value(), "Expected integer fraction")
2810  return self.numerator_as_long()
2811 

◆ as_string()

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 2824 of file z3py.py.

Referenced by FiniteDomainNumRef.as_long().

2824  def as_string(self):
2825  """Return a Z3 rational numeral as a Python string.
2826 
2827  >>> v = Q(3,6)
2828  >>> v.as_string()
2829  '1/2'
2830  """
2831  return Z3_get_numeral_string(self.ctx_ref(), self.as_ast())
2832 
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.

◆ denominator()

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 2764 of file z3py.py.

2764  def denominator(self):
2765  """ Return the denominator of a Z3 rational numeral.
2766 
2767  >>> is_rational_value(Q(3,5))
2768  True
2769  >>> n = Q(3,5)
2770  >>> n.denominator()
2771  5
2772  """
2773  return IntNumRef(Z3_get_denominator(self.ctx_ref(), self.as_ast()), self.ctx)
2774 
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.

◆ denominator_as_long()

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 2788 of file z3py.py.

2788  def denominator_as_long(self):
2789  """ Return the denominator as a Python long.
2790 
2791  >>> v = RealVal("1/3")
2792  >>> v
2793  1/3
2794  >>> v.denominator_as_long()
2795  3
2796  """
2797  return self.denominator().as_long()
2798 

◆ is_int()

def is_int (   self)

Definition at line 2799 of file z3py.py.

2799  def is_int(self):
2800  return False
2801 
def is_int(a)
Definition: z3py.py:2469

◆ is_int_value()

def is_int_value (   self)

Definition at line 2805 of file z3py.py.

2805  def is_int_value(self):
2806  return self.denominator().is_int() and self.denominator_as_long() == 1
2807 
def is_int_value(a)
Definition: z3py.py:2511
def is_int(a)
Definition: z3py.py:2469

◆ is_real()

def is_real (   self)

Definition at line 2802 of file z3py.py.

2802  def is_real(self):
2803  return True
2804 
def is_real(a)
Definition: z3py.py:2487

◆ numerator()

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 2749 of file z3py.py.

2749  def numerator(self):
2750  """ Return the numerator of a Z3 rational numeral.
2751 
2752  >>> is_rational_value(RealVal("3/5"))
2753  True
2754  >>> n = RealVal("3/5")
2755  >>> n.numerator()
2756  3
2757  >>> is_rational_value(Q(3,5))
2758  True
2759  >>> Q(3,5).numerator()
2760  3
2761  """
2762  return IntNumRef(Z3_get_numerator(self.ctx_ref(), self.as_ast()), self.ctx)
2763 
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.

◆ numerator_as_long()

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 2775 of file z3py.py.

2775  def numerator_as_long(self):
2776  """ Return the numerator as a Python long.
2777 
2778  >>> v = RealVal(10000000000)
2779  >>> v
2780  10000000000
2781  >>> v + 1
2782  10000000000 + 1
2783  >>> v.numerator_as_long() + 1 == 10000000001
2784  True
2785  """
2786  return self.numerator().as_long()
2787