Z3
Public Member Functions
FuncDeclRef Class Reference

Function Declarations. More...

+ Inheritance diagram for FuncDeclRef:

Public Member Functions

def as_ast (self)
 
def get_id (self)
 
def as_func_decl (self)
 
def name (self)
 
def arity (self)
 
def domain (self, i)
 
def range (self)
 
def kind (self)
 
def params (self)
 
def __call__ (self, args)
 
- Public Member Functions inherited from AstRef
def __init__
 
def __del__ (self)
 
def __deepcopy__
 
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

Function Declarations.

Function declaration. Every constant and function have an associated declaration.

The declaration assigns a name, a sort (i.e., type), and for function
the sort (i.e., type) of each of its arguments. Note that, in Z3,
a constant is a function with 0 arguments.

Definition at line 717 of file z3py.py.

Member Function Documentation

def __call__ (   self,
  args 
)
Create a Z3 application expression using the function `self`, and the given arguments.

The arguments must be Z3 expressions. This method assumes that
the sorts of the elements in `args` match the sorts of the
domain. Limited coercion is supported.  For example, if
args[0] is a Python integer, and the function expects a Z3
integer, then the argument is automatically converted into a
Z3 integer.

>>> f = Function('f', IntSort(), RealSort(), BoolSort())
>>> x = Int('x')
>>> y = Real('y')
>>> f(x, y)
f(x, y)
>>> f(x, x)
f(x, ToReal(x))

Definition at line 816 of file z3py.py.

816  def __call__(self, *args):
817  """Create a Z3 application expression using the function `self`, and the given arguments.
818 
819  The arguments must be Z3 expressions. This method assumes that
820  the sorts of the elements in `args` match the sorts of the
821  domain. Limited coercion is supported. For example, if
822  args[0] is a Python integer, and the function expects a Z3
823  integer, then the argument is automatically converted into a
824  Z3 integer.
825 
826  >>> f = Function('f', IntSort(), RealSort(), BoolSort())
827  >>> x = Int('x')
828  >>> y = Real('y')
829  >>> f(x, y)
830  f(x, y)
831  >>> f(x, x)
832  f(x, ToReal(x))
833  """
834  args = _get_args(args)
835  num = len(args)
836  if z3_debug():
837  _z3_assert(num == self.arity(), "Incorrect number of arguments to %s" % self)
838  _args = (Ast * num)()
839  saved = []
840  for i in range(num):
841  # self.domain(i).cast(args[i]) may create a new Z3 expression,
842  # then we must save in 'saved' to prevent it from being garbage collected.
843  tmp = self.domain(i).cast(args[i])
844  saved.append(tmp)
845  _args[i] = tmp.as_ast()
846  return _to_expr_ref(Z3_mk_app(self.ctx_ref(), self.ast, len(args), _args), self.ctx)
847 
848 
Z3_ast Z3_API Z3_mk_app(Z3_context c, Z3_func_decl d, unsigned num_args, Z3_ast const args[])
Create a constant or function application.
def domain(self, i)
Definition: z3py.py:755
def range(self)
Definition: z3py.py:769
def z3_debug()
Definition: z3py.py:64
def ctx_ref(self)
Definition: z3py.py:399
def __call__(self, args)
Definition: z3py.py:816
def arity(self)
Definition: z3py.py:745
def arity (   self)
Return the number of arguments of a function declaration.
If `self` is a constant, then `self.arity()` is 0.

>>> f = Function('f', IntSort(), RealSort(), BoolSort())
>>> f.arity()
2

Definition at line 745 of file z3py.py.

Referenced by FuncDeclRef.__call__(), and FuncDeclRef.domain().

745  def arity(self):
746  """Return the number of arguments of a function declaration.
747  If `self` is a constant, then `self.arity()` is 0.
748 
749  >>> f = Function('f', IntSort(), RealSort(), BoolSort())
750  >>> f.arity()
751  2
752  """
753  return int(Z3_get_arity(self.ctx_ref(), self.ast))
754 
def ctx_ref(self)
Definition: z3py.py:399
unsigned Z3_API Z3_get_arity(Z3_context c, Z3_func_decl d)
Alias for Z3_get_domain_size.
def arity(self)
Definition: z3py.py:745
def as_ast (   self)

Definition at line 725 of file z3py.py.

725  def as_ast(self):
726  return Z3_func_decl_to_ast(self.ctx_ref(), self.ast)
727 
Z3_ast Z3_API Z3_func_decl_to_ast(Z3_context c, Z3_func_decl f)
Convert a Z3_func_decl into Z3_ast. This is just type casting.
def ctx_ref(self)
Definition: z3py.py:399
def as_ast(self)
Definition: z3py.py:725
def as_func_decl (   self)

Definition at line 731 of file z3py.py.

731  def as_func_decl(self):
732  return self.ast
733 
def as_func_decl(self)
Definition: z3py.py:731
def domain (   self,
  i 
)
Return the sort of the argument `i` of a function declaration.
This method assumes that `0 <= i < self.arity()`.

>>> f = Function('f', IntSort(), RealSort(), BoolSort())
>>> f.domain(0)
Int
>>> f.domain(1)
Real

Definition at line 755 of file z3py.py.

Referenced by FuncDeclRef.__call__(), and ArrayRef.__getitem__().

755  def domain(self, i):
756  """Return the sort of the argument `i` of a function declaration.
757  This method assumes that `0 <= i < self.arity()`.
758 
759  >>> f = Function('f', IntSort(), RealSort(), BoolSort())
760  >>> f.domain(0)
761  Int
762  >>> f.domain(1)
763  Real
764  """
765  if z3_debug():
766  _z3_assert(i < self.arity(), "Index out of bounds")
767  return _to_sort_ref(Z3_get_domain(self.ctx_ref(), self.ast, i), self.ctx)
768 
def domain(self, i)
Definition: z3py.py:755
Z3_sort Z3_API Z3_get_domain(Z3_context c, Z3_func_decl d, unsigned i)
Return the sort of the i-th parameter of the given function declaration.
def z3_debug()
Definition: z3py.py:64
def ctx_ref(self)
Definition: z3py.py:399
def arity(self)
Definition: z3py.py:745
def get_id (   self)

Definition at line 728 of file z3py.py.

728  def get_id(self):
729  return Z3_get_ast_id(self.ctx_ref(), self.as_ast())
730 
def as_ast(self)
Definition: z3py.py:391
def get_id(self)
Definition: z3py.py:728
unsigned Z3_API Z3_get_ast_id(Z3_context c, Z3_ast t)
Return a unique identifier for t. The identifier is unique up to structural equality. Thus, two ast nodes created by the same context and having the same children and same function symbols have the same identifiers. Ast nodes created in the same context, but having different children or different functions have different identifiers. Variables and quantifiers are also assigned different identifiers according to their structure.
def ctx_ref(self)
Definition: z3py.py:399
def kind (   self)
Return the internal kind of a function declaration.
It can be used to identify Z3 built-in functions such as addition, multiplication, etc.

>>> x = Int('x')
>>> d = (x + 1).decl()
>>> d.kind() == Z3_OP_ADD
True
>>> d.kind() == Z3_OP_MUL
False

Definition at line 779 of file z3py.py.

779  def kind(self):
780  """Return the internal kind of a function declaration.
781  It can be used to identify Z3 built-in functions such as addition, multiplication, etc.
782 
783  >>> x = Int('x')
784  >>> d = (x + 1).decl()
785  >>> d.kind() == Z3_OP_ADD
786  True
787  >>> d.kind() == Z3_OP_MUL
788  False
789  """
790  return Z3_get_decl_kind(self.ctx_ref(), self.ast)
791 
Z3_decl_kind Z3_API Z3_get_decl_kind(Z3_context c, Z3_func_decl d)
Return declaration kind corresponding to declaration.
def ctx_ref(self)
Definition: z3py.py:399
def kind(self)
Definition: z3py.py:779
def name (   self)
Return the name of the function declaration `self`.

>>> f = Function('f', IntSort(), IntSort())
>>> f.name()
'f'
>>> isinstance(f.name(), str)
True

Definition at line 734 of file z3py.py.

734  def name(self):
735  """Return the name of the function declaration `self`.
736 
737  >>> f = Function('f', IntSort(), IntSort())
738  >>> f.name()
739  'f'
740  >>> isinstance(f.name(), str)
741  True
742  """
743  return _symbol2py(self.ctx, Z3_get_decl_name(self.ctx_ref(), self.ast))
744 
def name(self)
Definition: z3py.py:734
Z3_symbol Z3_API Z3_get_decl_name(Z3_context c, Z3_func_decl d)
Return the constant declaration name as a symbol.
def ctx_ref(self)
Definition: z3py.py:399
def params (   self)

Definition at line 792 of file z3py.py.

792  def params(self):
793  ctx = self.ctx
794  n = Z3_get_decl_num_parameters(self.ctx_ref(), self.ast)
795  result = [None for i in range(n)]
796  for i in range(n):
797  k = Z3_get_decl_parameter_kind(self.ctx_ref(), self.ast, i)
798  if k == Z3_PARAMETER_INT:
799  result[i] = Z3_get_decl_int_parameter(self.ctx_ref(), self.ast, i)
800  elif k == Z3_PARAMETER_DOUBLE:
801  result[i] = Z3_get_decl_double_parameter(self.ctx_ref(), self.ast, i)
802  elif k == Z3_PARAMETER_RATIONAL:
803  result[i] = Z3_get_decl_rational_parameter(self.ctx_ref(), self.ast, i)
804  elif k == Z3_PARAMETER_SYMBOL:
805  result[i] = Z3_get_decl_symbol_parameter(self.ctx_ref(), self.ast, i)
806  elif k == Z3_PARAMETER_SORT:
807  result[i] = SortRef(Z3_get_decl_sort_parameter(self.ctx_ref(), self.ast, i), ctx)
808  elif k == Z3_PARAMETER_AST:
809  result[i] = ExprRef(Z3_get_decl_ast_parameter(self.ctx_ref(), self.ast, i), ctx)
810  elif k == Z3_PARAMETER_FUNC_DECL:
811  result[i] = FuncDeclRef(Z3_get_decl_func_decl_parameter(self.ctx_ref(), self.ast, i), ctx)
812  else:
813  assert(False)
814  return result
815 
Z3_string Z3_API Z3_get_decl_rational_parameter(Z3_context c, Z3_func_decl d, unsigned idx)
Return the rational value, as a string, associated with a rational parameter.
Function Declarations.
Definition: z3py.py:717
unsigned Z3_API Z3_get_decl_num_parameters(Z3_context c, Z3_func_decl d)
Return the number of parameters associated with a declaration.
Z3_parameter_kind Z3_API Z3_get_decl_parameter_kind(Z3_context c, Z3_func_decl d, unsigned idx)
Return the parameter type associated with a declaration.
Z3_symbol Z3_API Z3_get_decl_symbol_parameter(Z3_context c, Z3_func_decl d, unsigned idx)
Return the double value associated with an double parameter.
Z3_func_decl Z3_API Z3_get_decl_func_decl_parameter(Z3_context c, Z3_func_decl d, unsigned idx)
Return the expression value associated with an expression parameter.
double Z3_API Z3_get_decl_double_parameter(Z3_context c, Z3_func_decl d, unsigned idx)
Return the double value associated with an double parameter.
def range(self)
Definition: z3py.py:769
Z3_ast Z3_API Z3_get_decl_ast_parameter(Z3_context c, Z3_func_decl d, unsigned idx)
Return the expression value associated with an expression parameter.
def params(self)
Definition: z3py.py:792
def ctx_ref(self)
Definition: z3py.py:399
Expressions.
Definition: z3py.py:960
int Z3_API Z3_get_decl_int_parameter(Z3_context c, Z3_func_decl d, unsigned idx)
Return the integer value associated with an integer parameter.
Z3_sort Z3_API Z3_get_decl_sort_parameter(Z3_context c, Z3_func_decl d, unsigned idx)
Return the sort value associated with a sort parameter.
def range (   self)
Return the sort of the range of a function declaration.
For constants, this is the sort of the constant.

>>> f = Function('f', IntSort(), RealSort(), BoolSort())
>>> f.range()
Bool

Definition at line 769 of file z3py.py.

Referenced by FuncDeclRef.__call__(), and FuncDeclRef.params().

769  def range(self):
770  """Return the sort of the range of a function declaration.
771  For constants, this is the sort of the constant.
772 
773  >>> f = Function('f', IntSort(), RealSort(), BoolSort())
774  >>> f.range()
775  Bool
776  """
777  return _to_sort_ref(Z3_get_range(self.ctx_ref(), self.ast), self.ctx)
778 
def range(self)
Definition: z3py.py:769
Z3_sort Z3_API Z3_get_range(Z3_context c, Z3_func_decl d)
Return the range of the given declaration.
def ctx_ref(self)
Definition: z3py.py:399