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__ (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 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 640 of file z3py.py.

Member Function Documentation

◆ __call__()

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 734 of file z3py.py.

734  def __call__(self, *args):
735  """Create a Z3 application expression using the function `self`, and the given arguments.
736 
737  The arguments must be Z3 expressions. This method assumes that
738  the sorts of the elements in `args` match the sorts of the
739  domain. Limited coercion is supported. For example, if
740  args[0] is a Python integer, and the function expects a Z3
741  integer, then the argument is automatically converted into a
742  Z3 integer.
743 
744  >>> f = Function('f', IntSort(), RealSort(), BoolSort())
745  >>> x = Int('x')
746  >>> y = Real('y')
747  >>> f(x, y)
748  f(x, y)
749  >>> f(x, x)
750  f(x, ToReal(x))
751  """
752  args = _get_args(args)
753  num = len(args)
754  if __debug__:
755  _z3_assert(num == self.arity(), "Incorrect number of arguments to %s" % self)
756  _args = (Ast * num)()
757  saved = []
758  for i in range(num):
759  # self.domain(i).cast(args[i]) may create a new Z3 expression,
760  # then we must save in 'saved' to prevent it from being garbage collected.
761  tmp = self.domain(i).cast(args[i])
762  saved.append(tmp)
763  _args[i] = tmp.as_ast()
764  return _to_expr_ref(Z3_mk_app(self.ctx_ref(), self.ast, len(args), _args), self.ctx)
765 
expr range(expr const &lo, expr const &hi)
Definition: z3++.h:3244
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.

◆ arity()

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 667 of file z3py.py.

667  def arity(self):
668  """Return the number of arguments of a function declaration. If `self` is a constant, then `self.arity()` is 0.
669 
670  >>> f = Function('f', IntSort(), RealSort(), BoolSort())
671  >>> f.arity()
672  2
673  """
674  return int(Z3_get_arity(self.ctx_ref(), self.ast))
675 
unsigned Z3_API Z3_get_arity(Z3_context c, Z3_func_decl d)
Alias for Z3_get_domain_size.

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

◆ as_ast()

def as_ast (   self)
Return a pointer to the corresponding C Z3_ast object.

Reimplemented from AstRef.

Definition at line 647 of file z3py.py.

647  def as_ast(self):
648  return Z3_func_decl_to_ast(self.ctx_ref(), self.ast)
649 
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.

◆ as_func_decl()

def as_func_decl (   self)

Definition at line 653 of file z3py.py.

653  def as_func_decl(self):
654  return self.ast
655 

◆ domain()

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 676 of file z3py.py.

676  def domain(self, i):
677  """Return the sort of the argument `i` of a function declaration. This method assumes that `0 <= i < self.arity()`.
678 
679  >>> f = Function('f', IntSort(), RealSort(), BoolSort())
680  >>> f.domain(0)
681  Int
682  >>> f.domain(1)
683  Real
684  """
685  if __debug__:
686  _z3_assert(i < self.arity(), "Index out of bounds")
687  return _to_sort_ref(Z3_get_domain(self.ctx_ref(), self.ast, i), self.ctx)
688 
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.

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

◆ get_id()

def get_id (   self)
Return unique identifier for object. It can be used for hash-tables and maps.

Reimplemented from AstRef.

Definition at line 650 of file z3py.py.

650  def get_id(self):
651  return Z3_get_ast_id(self.ctx_ref(), self.as_ast())
652 
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....

◆ kind()

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 698 of file z3py.py.

698  def kind(self):
699  """Return the internal kind of a function declaration. It can be used to identify Z3 built-in functions such as addition, multiplication, etc.
700 
701  >>> x = Int('x')
702  >>> d = (x + 1).decl()
703  >>> d.kind() == Z3_OP_ADD
704  True
705  >>> d.kind() == Z3_OP_MUL
706  False
707  """
708  return Z3_get_decl_kind(self.ctx_ref(), self.ast)
709 
Z3_decl_kind Z3_API Z3_get_decl_kind(Z3_context c, Z3_func_decl d)
Return declaration kind corresponding to declaration.

◆ name()

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 656 of file z3py.py.

656  def name(self):
657  """Return the name of the function declaration `self`.
658 
659  >>> f = Function('f', IntSort(), IntSort())
660  >>> f.name()
661  'f'
662  >>> isinstance(f.name(), str)
663  True
664  """
665  return _symbol2py(self.ctx, Z3_get_decl_name(self.ctx_ref(), self.ast))
666 
Z3_symbol Z3_API Z3_get_decl_name(Z3_context c, Z3_func_decl d)
Return the constant declaration name as a symbol.

◆ params()

def params (   self)

Definition at line 710 of file z3py.py.

710  def params(self):
711  ctx = self.ctx
712  n = Z3_get_decl_num_parameters(self.ctx_ref(), self.ast)
713  result = [ None for i in range(n) ]
714  for i in range(n):
715  k = Z3_get_decl_parameter_kind(self.ctx_ref(), self.ast, i)
716  if k == Z3_PARAMETER_INT:
717  result[i] = Z3_get_decl_int_parameter(self.ctx_ref(), self.ast, i)
718  elif k == Z3_PARAMETER_DOUBLE:
719  result[i] = Z3_get_decl_double_parameter(self.ctx_ref(), self.ast, i)
720  elif k == Z3_PARAMETER_RATIONAL:
721  result[i] = Z3_get_decl_rational_parameter(self.ctx_ref(), self.ast, i)
722  elif k == Z3_PARAMETER_SYMBOL:
723  result[i] = Z3_get_decl_symbol_parameter(self.ctx_ref(), self.ast, i)
724  elif k == Z3_PARAMETER_SORT:
725  result[i] = SortRef(Z3_get_decl_sort_parameter(self.ctx_ref(), self.ast, i), ctx)
726  elif k == Z3_PARAMETER_AST:
727  result[i] = ExprRef(Z3_get_decl_ast_parameter(self.ctx_ref(), self.ast, i), ctx)
728  elif k == Z3_PARAMETER_FUNC_DECL:
729  result[i] = FuncDeclRef(Z3_get_decl_func_decl_parameter(self.ctx_ref(), self.ast, i), ctx)
730  else:
731  assert(False)
732  return result
733 
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.
expr range(expr const &lo, expr const &hi)
Definition: z3++.h:3244
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.
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.
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.

◆ range()

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 689 of file z3py.py.

689  def range(self):
690  """Return the sort of the range of a function declaration. For constants, this is the sort of the constant.
691 
692  >>> f = Function('f', IntSort(), RealSort(), BoolSort())
693  >>> f.range()
694  Bool
695  """
696  return _to_sort_ref(Z3_get_range(self.ctx_ref(), self.ast), self.ctx)
697 
expr range(expr const &lo, expr const &hi)
Definition: z3++.h:3244
Z3_sort Z3_API Z3_get_range(Z3_context c, Z3_func_decl d)
Return the range of the given declaration.

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