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 2954 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 3020 of file z3py.py.

3020 def as_decimal(self, prec):
3021 """ Return a Z3 rational value as a string in decimal notation using at most `prec` decimal places.
3022
3023 >>> v = RealVal("1/5")
3024 >>> v.as_decimal(3)
3025 '0.2'
3026 >>> v = RealVal("1/3")
3027 >>> v.as_decimal(3)
3028 '0.333?'
3029 """
3030 return Z3_get_numeral_decimal_string(self.ctx_ref(), self.as_ast(), prec)
3031
def RealVal(val, ctx=None)
Definition: z3py.py:3162
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 3041 of file z3py.py.

3041 def as_fraction(self):
3042 """Return a Z3 rational as a Python Fraction object.
3043
3044 >>> v = RealVal("1/5")
3045 >>> v.as_fraction()
3046 Fraction(1, 5)
3047 """
3048 return Fraction(self.numerator_as_long(), self.denominator_as_long())
3049
3050

◆ as_long()

def as_long (   self)

Definition at line 3016 of file z3py.py.

3016 def as_long(self):
3017 _z3_assert(self.is_int_value(), "Expected integer fraction")
3018 return self.numerator_as_long()
3019

Referenced by BitVecNumRef.as_signed_long(), RatNumRef.denominator_as_long(), and RatNumRef.numerator_as_long().

◆ 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 3032 of file z3py.py.

3032 def as_string(self):
3033 """Return a Z3 rational numeral as a Python string.
3034
3035 >>> v = Q(3,6)
3036 >>> v.as_string()
3037 '1/2'
3038 """
3039 return Z3_get_numeral_string(self.ctx_ref(), self.as_ast())
3040
def Q(a, b, ctx=None)
Definition: z3py.py:3197
Z3_string Z3_API Z3_get_numeral_string(Z3_context c, Z3_ast a)
Return numeral value, as a decimal string of a numeric constant term.

Referenced by IntNumRef.as_long(), BitVecNumRef.as_long(), and FiniteDomainNumRef.as_long().

◆ 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 2972 of file z3py.py.

2972 def denominator(self):
2973 """ Return the denominator of a Z3 rational numeral.
2974
2975 >>> is_rational_value(Q(3,5))
2976 True
2977 >>> n = Q(3,5)
2978 >>> n.denominator()
2979 5
2980 """
2981 return IntNumRef(Z3_get_denominator(self.ctx_ref(), self.as_ast()), self.ctx)
2982
def is_rational_value(a)
Definition: z3py.py:2718
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.

Referenced by RatNumRef.denominator_as_long(), and RatNumRef.is_int_value().

◆ 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 2996 of file z3py.py.

2996 def denominator_as_long(self):
2997 """ Return the denominator as a Python long.
2998
2999 >>> v = RealVal("1/3")
3000 >>> v
3001 1/3
3002 >>> v.denominator_as_long()
3003 3
3004 """
3005 return self.denominator().as_long()
3006

Referenced by RatNumRef.as_fraction(), and RatNumRef.is_int_value().

◆ is_int()

def is_int (   self)
Return `True` if `self` is an integer expression.

>>> x = Int('x')
>>> x.is_int()
True
>>> (x + 1).is_int()
True
>>> y = Real('y')
>>> (x + y).is_int()
False

Reimplemented from ArithRef.

Definition at line 3007 of file z3py.py.

3007 def is_int(self):
3008 return False
3009
def is_int(a)
Definition: z3py.py:2648

Referenced by IntNumRef.as_long(), RatNumRef.is_int_value(), and ArithSortRef.subsort().

◆ is_int_value()

def is_int_value (   self)

Definition at line 3013 of file z3py.py.

3013 def is_int_value(self):
3014 return self.denominator().is_int() and self.denominator_as_long() == 1
3015
def is_int_value(a)
Definition: z3py.py:2694

Referenced by RatNumRef.as_long().

◆ is_real()

def is_real (   self)
Return `True` if `self` is an real expression.

>>> x = Real('x')
>>> x.is_real()
True
>>> (x + 1).is_real()
True

Reimplemented from ArithRef.

Definition at line 3010 of file z3py.py.

3010 def is_real(self):
3011 return True
3012
def is_real(a)
Definition: z3py.py:2667

◆ 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 2957 of file z3py.py.

2957 def numerator(self):
2958 """ Return the numerator of a Z3 rational numeral.
2959
2960 >>> is_rational_value(RealVal("3/5"))
2961 True
2962 >>> n = RealVal("3/5")
2963 >>> n.numerator()
2964 3
2965 >>> is_rational_value(Q(3,5))
2966 True
2967 >>> Q(3,5).numerator()
2968 3
2969 """
2970 return IntNumRef(Z3_get_numerator(self.ctx_ref(), self.as_ast()), self.ctx)
2971
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.

Referenced by RatNumRef.numerator(), and RatNumRef.numerator_as_long().

◆ 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 2983 of file z3py.py.

2983 def numerator_as_long(self):
2984 """ Return the numerator as a Python long.
2985
2986 >>> v = RealVal(10000000000)
2987 >>> v
2988 10000000000
2989 >>> v + 1
2990 10000000000 + 1
2991 >>> v.numerator_as_long() + 1 == 10000000001
2992 True
2993 """
2994 return self.numerator().as_long()
2995

Referenced by RatNumRef.as_fraction(), and RatNumRef.as_long().