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FuncDeclRef Class Reference

Function Declarations. More...

Inheritance diagram for FuncDeclRef:

Public Member Functions

 as_ast (self)
 get_id (self)
 as_func_decl (self)
 name (self)
 arity (self)
 domain (self, i)
 range (self)
 kind (self)
 params (self)
 __call__ (self, *args)
Public Member Functions inherited from AstRef
 __init__ (self, ast, ctx=None)
 __del__ (self)
 __deepcopy__ (self, memo={})
 __str__ (self)
 __repr__ (self)
 __eq__ (self, other)
 __hash__ (self)
 __nonzero__ (self)
 __bool__ (self)
 sexpr (self)
 ctx_ref (self)
 eq (self, other)
 translate (self, target)
 __copy__ (self)
 hash (self)
 py_value (self)
Public Member Functions inherited from Z3PPObject
 use_pp (self)

Additional Inherited Members

Data Fields inherited from AstRef
 ast = ast
 ctx = _get_ctx(ctx)
Protected Member Functions inherited from Z3PPObject
 _repr_html_ (self)

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 782 of file z3py.py.

Member Function Documentation

◆ __call__()

__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 884 of file z3py.py.

884 def __call__(self, *args):
885 """Create a Z3 application expression using the function `self`, and the given arguments.
886
887 The arguments must be Z3 expressions. This method assumes that
888 the sorts of the elements in `args` match the sorts of the
889 domain. Limited coercion is supported. For example, if
890 args[0] is a Python integer, and the function expects a Z3
891 integer, then the argument is automatically converted into a
892 Z3 integer.
893
894 >>> f = Function('f', IntSort(), RealSort(), BoolSort())
895 >>> x = Int('x')
896 >>> y = Real('y')
897 >>> f(x, y)
898 f(x, y)
899 >>> f(x, x)
900 f(x, ToReal(x))
901 """
902 args = _get_args(args)
903 num = len(args)
904 _args = (Ast * num)()
905 saved = []
906 for i in range(num):
907 # self.domain(i).cast(args[i]) may create a new Z3 expression,
908 # then we must save in 'saved' to prevent it from being garbage collected.
909 tmp = self.domain(i).cast(args[i])
910 saved.append(tmp)
911 _args[i] = tmp.as_ast()
912 return _to_expr_ref(Z3_mk_app(self.ctx_ref(), self.ast, len(args), _args), self.ctx)
913
914
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()

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 811 of file z3py.py.

811 def arity(self):
812 """Return the number of arguments of a function declaration.
813 If `self` is a constant, then `self.arity()` is 0.
814
815 >>> f = Function('f', IntSort(), RealSort(), BoolSort())
816 >>> f.arity()
817 2
818 """
819 return int(Z3_get_arity(self.ctx_ref(), self.ast))
820
unsigned Z3_API Z3_get_arity(Z3_context c, Z3_func_decl d)
Alias for Z3_get_domain_size.

◆ as_ast()

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

Reimplemented from AstRef.

Definition at line 790 of file z3py.py.

790 def as_ast(self):
791 # Z3_func_decl_to_ast is only a pointer cast, so do it here instead of calling into Z3.
792 return Ast.from_buffer_copy(self.ast)
793

◆ as_func_decl()

as_func_decl ( self)

Definition at line 797 of file z3py.py.

797 def as_func_decl(self):
798 return self.ast
799

◆ domain()

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 821 of file z3py.py.

821 def domain(self, i):
822 """Return the sort of the argument `i` of a function declaration.
823 This method assumes that `0 <= i < self.arity()`.
824
825 >>> f = Function('f', IntSort(), RealSort(), BoolSort())
826 >>> f.domain(0)
827 Int
828 >>> f.domain(1)
829 Real
830 """
831 return _to_sort_ref(Z3_get_domain(self.ctx_ref(), self.ast, i), self.ctx)
832
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 __call__().

◆ get_id()

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

Reimplemented from AstRef.

Definition at line 794 of file z3py.py.

794 def get_id(self):
795 return Z3_get_ast_id(self.ctx_ref(), self.as_ast())
796
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()

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 843 of file z3py.py.

843 def kind(self):
844 """Return the internal kind of a function declaration.
845 It can be used to identify Z3 built-in functions such as addition, multiplication, etc.
846
847 >>> x = Int('x')
848 >>> d = (x + 1).decl()
849 >>> d.kind() == Z3_OP_ADD
850 True
851 >>> d.kind() == Z3_OP_MUL
852 False
853 """
854 return Z3_get_decl_kind(self.ctx_ref(), self.ast)
855
Z3_decl_kind Z3_API Z3_get_decl_kind(Z3_context c, Z3_func_decl d)
Return declaration kind corresponding to declaration.

◆ name()

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 800 of file z3py.py.

800 def name(self):
801 """Return the name of the function declaration `self`.
802
803 >>> f = Function('f', IntSort(), IntSort())
804 >>> f.name()
805 'f'
806 >>> isinstance(f.name(), str)
807 True
808 """
809 return _symbol2py(self.ctx, Z3_get_decl_name(self.ctx_ref(), self.ast))
810
Z3_symbol Z3_API Z3_get_decl_name(Z3_context c, Z3_func_decl d)
Return the constant declaration name as a symbol.

◆ params()

params ( self)

Definition at line 856 of file z3py.py.

856 def params(self):
857 ctx = self.ctx
858 n = Z3_get_decl_num_parameters(self.ctx_ref(), self.ast)
859 result = [None for i in range(n)]
860 for i in range(n):
861 k = Z3_get_decl_parameter_kind(self.ctx_ref(), self.ast, i)
862 if k == Z3_PARAMETER_INT:
863 result[i] = Z3_get_decl_int_parameter(self.ctx_ref(), self.ast, i)
864 elif k == Z3_PARAMETER_DOUBLE:
865 result[i] = Z3_get_decl_double_parameter(self.ctx_ref(), self.ast, i)
866 elif k == Z3_PARAMETER_RATIONAL:
867 result[i] = Z3_get_decl_rational_parameter(self.ctx_ref(), self.ast, i)
868 elif k == Z3_PARAMETER_SYMBOL:
869 result[i] = _symbol2py(ctx, Z3_get_decl_symbol_parameter(self.ctx_ref(), self.ast, i))
870 elif k == Z3_PARAMETER_SORT:
871 result[i] = SortRef(Z3_get_decl_sort_parameter(self.ctx_ref(), self.ast, i), ctx)
872 elif k == Z3_PARAMETER_AST:
873 result[i] = ExprRef(Z3_get_decl_ast_parameter(self.ctx_ref(), self.ast, i), ctx)
874 elif k == Z3_PARAMETER_FUNC_DECL:
875 result[i] = FuncDeclRef(Z3_get_decl_func_decl_parameter(self.ctx_ref(), self.ast, i), ctx)
876 elif k == Z3_PARAMETER_INTERNAL:
877 result[i] = "internal parameter"
878 elif k == Z3_PARAMETER_ZSTRING:
879 result[i] = "internal string"
880 else:
881 raise Z3Exception("Unexpected parameter kind")
882 return result
883
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_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.
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_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.
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.
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_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.
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.
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.

◆ range()

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 833 of file z3py.py.

833 def range(self):
834 """Return the sort of the range of a function declaration.
835 For constants, this is the sort of the constant.
836
837 >>> f = Function('f', IntSort(), RealSort(), BoolSort())
838 >>> f.range()
839 Bool
840 """
841 return _to_sort_ref(Z3_get_range(self.ctx_ref(), self.ast), self.ctx)
842
Z3_sort Z3_API Z3_get_range(Z3_context c, Z3_func_decl d)
Return the range of the given declaration.

Referenced by __call__(), and params().