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)

Data Fields
	ast
	ctx
Data Fields inherited from AstRef
	ast
	ctx

Additional Inherited Members
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.

    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))
        """
        args = _get_args(args)
        num = len(args)
        _args = (Ast * num)()
        saved = []
        for i in range(num):
            # self.domain(i).cast(args[i]) may create a new Z3 expression,
            # then we must save in 'saved' to prevent it from being garbage collected.
            tmp = self.domain(i).cast(args[i])
            saved.append(tmp)
            _args[i] = tmp.as_ast()
        return _to_expr_ref(Z3_mk_app(self.ctx_ref(), self.ast, len(args), _args), self.ctx)
 
 

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.

    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
        """
        return int(Z3_get_arity(self.ctx_ref(), self.ast))
 

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.

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

Referenced by AstRef.__del__(), BitVecRef.__invert__(), ArithRef.__neg__(), BitVecRef.__neg__(), ExprRef.arg(), IntNumRef.as_binary_string(), BitVecNumRef.as_binary_string(), RatNumRef.as_decimal(), AlgebraicNumRef.as_decimal(), IntNumRef.as_string(), RatNumRef.as_string(), BitVecNumRef.as_string(), ExprRef.decl(), ArrayRef.default(), RatNumRef.denominator(), AstRef.eq(), AstRef.get_id(), SortRef.get_id(), FuncDeclRef.get_id(), ExprRef.get_id(), PatternRef.get_id(), QuantifierRef.get_id(), AstRef.hash(), AlgebraicNumRef.index(), ExprRef.num_args(), AlgebraicNumRef.poly(), RatNumRef.py_value(), AstRef.sexpr(), AstRef.translate(), ExprRef.update(), and DatatypeRef.update_field().

as_func_decl()

as_func_decl

(

self

)

Definition at line 797 of file z3py.py.

    def as_func_decl(self):
        return self.ast
 

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.

    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
        """
        return _to_sort_ref(Z3_get_domain(self.ctx_ref(), self.ast, i), self.ctx)
 

Referenced by FuncDeclRef.__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.

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

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.

    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
        """
        return Z3_get_decl_kind(self.ctx_ref(), self.ast)
 

Referenced by ArithSortRef.is_int(), and ArithSortRef.is_real().

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.

    def name(self):
        """Return the name of the function declaration `self`.
 
        >>> f = Function('f', IntSort(), IntSort())
        >>> f.name()
        'f'
        >>> isinstance(f.name(), str)
        True
        """
        return _symbol2py(self.ctx, Z3_get_decl_name(self.ctx_ref(), self.ast))
 

Referenced by Datatype.__deepcopy__(), and Datatype.__repr__().

params()

params

(

self

)

Definition at line 856 of file z3py.py.

    def params(self):
        ctx = self.ctx
        n = Z3_get_decl_num_parameters(self.ctx_ref(), self.ast)
        result = [None for i in range(n)]
        for i in range(n):
            k = Z3_get_decl_parameter_kind(self.ctx_ref(), self.ast, i)
            if k == Z3_PARAMETER_INT:
                result[i] = Z3_get_decl_int_parameter(self.ctx_ref(), self.ast, i)
            elif k == Z3_PARAMETER_DOUBLE:
                result[i] = Z3_get_decl_double_parameter(self.ctx_ref(), self.ast, i)
            elif k == Z3_PARAMETER_RATIONAL:
                result[i] = Z3_get_decl_rational_parameter(self.ctx_ref(), self.ast, i)
            elif k == Z3_PARAMETER_SYMBOL:
                result[i] = _symbol2py(ctx, Z3_get_decl_symbol_parameter(self.ctx_ref(), self.ast, i))
            elif k == Z3_PARAMETER_SORT:
                result[i] = SortRef(Z3_get_decl_sort_parameter(self.ctx_ref(), self.ast, i), ctx)
            elif k == Z3_PARAMETER_AST:
                result[i] = ExprRef(Z3_get_decl_ast_parameter(self.ctx_ref(), self.ast, i), ctx)
            elif k == Z3_PARAMETER_FUNC_DECL:
                result[i] = FuncDeclRef(Z3_get_decl_func_decl_parameter(self.ctx_ref(), self.ast, i), ctx)
            elif k == Z3_PARAMETER_INTERNAL:
                result[i] = "internal parameter"
            elif k == Z3_PARAMETER_ZSTRING:
                result[i] = "internal string"
            else:
                raise Z3Exception("Unexpected parameter kind")
        return result
 

Referenced by ParamsRef.__deepcopy__(), ParamsRef.__del__(), ParamsRef.__repr__(), ParamsRef.set(), and ParamsRef.validate().

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.

    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
        """
        return _to_sort_ref(Z3_get_range(self.ctx_ref(), self.ast), self.ctx)
 

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

Field Documentation

ast

ast

Definition at line 792 of file z3py.py.

Referenced by FuncDeclRef.__call__(), AstRef.__deepcopy__(), AstRef.__del__(), SortRef.__eq__(), SortRef.__ne__(), DatatypeSortRef.accessor(), FuncDeclRef.arity(), AstRef.as_ast(), ExprRef.as_ast(), QuantifierRef.as_ast(), FuncDeclRef.as_func_decl(), QuantifierRef.body(), FuncDeclRef.domain(), ArraySortRef.domain_n(), QuantifierRef.is_exists(), QuantifierRef.is_lambda(), FuncDeclRef.kind(), SortRef.name(), QuantifierRef.no_pattern(), QuantifierRef.num_no_patterns(), QuantifierRef.num_patterns(), QuantifierRef.num_vars(), FuncDeclRef.params(), QuantifierRef.pattern(), QuantifierRef.qid(), FuncDeclRef.range(), ArraySortRef.range(), DatatypeSortRef.recognizer(), QuantifierRef.skolem_id(), QuantifierRef.var_name(), QuantifierRef.var_sort(), and QuantifierRef.weight().

ctx

ctx

Definition at line 809 of file z3py.py.

Referenced by ArithRef.__add__(), BitVecRef.__add__(), BitVecRef.__and__(), FuncDeclRef.__call__(), AstMap.__contains__(), AstRef.__copy__(), Goal.__copy__(), AstVector.__copy__(), FuncInterp.__copy__(), ModelRef.__copy__(), AstRef.__deepcopy__(), Datatype.__deepcopy__(), ParamsRef.__deepcopy__(), ParamDescrsRef.__deepcopy__(), Goal.__deepcopy__(), AstVector.__deepcopy__(), AstMap.__deepcopy__(), FuncEntry.__deepcopy__(), FuncInterp.__deepcopy__(), ModelRef.__deepcopy__(), Statistics.__deepcopy__(), Context.__del__(), AstRef.__del__(), ScopedConstructor.__del__(), ScopedConstructorList.__del__(), ParamsRef.__del__(), ParamDescrsRef.__del__(), Goal.__del__(), AstVector.__del__(), AstMap.__del__(), FuncEntry.__del__(), FuncInterp.__del__(), ModelRef.__del__(), Statistics.__del__(), Solver.__del__(), ArithRef.__div__(), BitVecRef.__div__(), ExprRef.__eq__(), ArithRef.__ge__(), BitVecRef.__ge__(), AstVector.__getitem__(), ModelRef.__getitem__(), Statistics.__getitem__(), AstMap.__getitem__(), ArithRef.__gt__(), BitVecRef.__gt__(), BitVecRef.__invert__(), ArithRef.__le__(), BitVecRef.__le__(), AstVector.__len__(), AstMap.__len__(), ModelRef.__len__(), Statistics.__len__(), BitVecRef.__lshift__(), ArithRef.__lt__(), BitVecRef.__lt__(), ArithRef.__mod__(), BitVecRef.__mod__(), BoolRef.__mul__(), ArithRef.__mul__(), BitVecRef.__mul__(), ExprRef.__ne__(), ArithRef.__neg__(), BitVecRef.__neg__(), BitVecRef.__or__(), ArithRef.__pow__(), ArithRef.__radd__(), BitVecRef.__radd__(), BitVecRef.__rand__(), ArithRef.__rdiv__(), BitVecRef.__rdiv__(), ParamsRef.__repr__(), ParamDescrsRef.__repr__(), AstMap.__repr__(), Statistics.__repr__(), BitVecRef.__rlshift__(), ArithRef.__rmod__(), BitVecRef.__rmod__(), ArithRef.__rmul__(), BitVecRef.__rmul__(), BitVecRef.__ror__(), ArithRef.__rpow__(), BitVecRef.__rrshift__(), BitVecRef.__rshift__(), ArithRef.__rsub__(), BitVecRef.__rsub__(), BitVecRef.__rxor__(), AstVector.__setitem__(), AstMap.__setitem__(), ArithRef.__sub__(), BitVecRef.__sub__(), BitVecRef.__xor__(), DatatypeSortRef.accessor(), ExprRef.arg(), FuncEntry.arg_value(), FuncInterp.arity(), Goal.as_expr(), Solver.assert_and_track(), Goal.assert_exprs(), Solver.assert_exprs(), QuantifierRef.body(), FiniteSetSortRef.cast(), Solver.check(), Goal.convert_model(), AstRef.ctx_ref(), ExprRef.decl(), ModelRef.decls(), ArrayRef.default(), RatNumRef.denominator(), Goal.depth(), Goal.dimacs(), FuncDeclRef.domain(), ArraySortRef.domain_n(), FuncInterp.else_value(), FuncInterp.entry(), AstMap.erase(), ModelRef.eval(), Goal.get(), ParamDescrsRef.get_documentation(), ModelRef.get_interp(), Statistics.get_key_value(), ParamDescrsRef.get_kind(), ParamDescrsRef.get_name(), ModelRef.get_sort(), ModelRef.get_universe(), Goal.inconsistent(), AstMap.keys(), Statistics.keys(), Solver.model(), SortRef.name(), QuantifierRef.no_pattern(), FuncEntry.num_args(), FuncInterp.num_entries(), Solver.num_scopes(), ModelRef.num_sorts(), FuncDeclRef.params(), QuantifierRef.pattern(), AlgebraicNumRef.poly(), Solver.pop(), Goal.prec(), ModelRef.project(), ModelRef.project_with_witness(), Solver.push(), AstVector.push(), QuantifierRef.qid(), FuncDeclRef.range(), ArraySortRef.range(), DatatypeSortRef.recognizer(), Context.ref(), AstMap.reset(), Solver.reset(), AstVector.resize(), Solver.set(), ParamsRef.set(), Goal.sexpr(), AstVector.sexpr(), ModelRef.sexpr(), ParamDescrsRef.size(), Goal.size(), QuantifierRef.skolem_id(), AstVector.translate(), AstRef.translate(), Goal.translate(), ModelRef.translate(), ExprRef.update(), DatatypeRef.update_field(), ParamsRef.validate(), FuncEntry.value(), QuantifierRef.var_name(), and QuantifierRef.var_sort().