Z3
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DatatypeSortRef Class Reference
Inheritance diagram for DatatypeSortRef:

Public Member Functions

 num_constructors (self)
 constructor (self, idx)
 recognizer (self, idx)
 accessor (self, i, j)
Public Member Functions inherited from SortRef
 as_ast (self)
 get_id (self)
 kind (self)
 subsort (self, other)
 cast (self, val)
 name (self)
 __eq__ (self, other)
 __ne__ (self, other)
 __gt__ (self, other)
 __hash__ (self)
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

Datatype sorts.

Definition at line 5424 of file z3py.py.

Member Function Documentation

◆ accessor()

accessor ( self,
i,
j )
In Z3, each constructor has 0 or more accessor.
The number of accessors is equal to the arity of the constructor.

>>> List = Datatype('List')
>>> List.declare('cons', ('car', IntSort()), ('cdr', List))
>>> List.declare('nil')
>>> List = List.create()
>>> List.num_constructors()
2
>>> List.constructor(0)
cons
>>> num_accs = List.constructor(0).arity()
>>> num_accs
2
>>> List.accessor(0, 0)
car
>>> List.accessor(0, 1)
cdr
>>> List.constructor(1)
nil
>>> num_accs = List.constructor(1).arity()
>>> num_accs
0

Definition at line 5487 of file z3py.py.

5487 def accessor(self, i, j):
5488 """In Z3, each constructor has 0 or more accessor.
5489 The number of accessors is equal to the arity of the constructor.
5490
5491 >>> List = Datatype('List')
5492 >>> List.declare('cons', ('car', IntSort()), ('cdr', List))
5493 >>> List.declare('nil')
5494 >>> List = List.create()
5495 >>> List.num_constructors()
5496 2
5497 >>> List.constructor(0)
5498 cons
5499 >>> num_accs = List.constructor(0).arity()
5500 >>> num_accs
5501 2
5502 >>> List.accessor(0, 0)
5503 car
5504 >>> List.accessor(0, 1)
5505 cdr
5506 >>> List.constructor(1)
5507 nil
5508 >>> num_accs = List.constructor(1).arity()
5509 >>> num_accs
5510 0
5511 """
5512 if z3_debug():
5513 _z3_assert(i < self.num_constructors(), "Invalid constructor index")
5514 _z3_assert(j < self.constructor(i).arity(), "Invalid accessor index")
5515 return FuncDeclRef(
5516 Z3_get_datatype_sort_constructor_accessor(self.ctx_ref(), self.ast, i, j),
5517 ctx=self.ctx,
5518 )
5519
5520
Z3_func_decl Z3_API Z3_get_datatype_sort_constructor_accessor(Z3_context c, Z3_sort t, unsigned idx_c, unsigned idx_a)
Return idx_a'th accessor for the idx_c'th constructor.

◆ constructor()

constructor ( self,
idx )
Return a constructor of the datatype `self`.

>>> List = Datatype('List')
>>> List.declare('cons', ('car', IntSort()), ('cdr', List))
>>> List.declare('nil')
>>> List = List.create()
>>> # List is now a Z3 declaration
>>> List.num_constructors()
2
>>> List.constructor(0)
cons
>>> List.constructor(1)
nil

Definition at line 5440 of file z3py.py.

5440 def constructor(self, idx):
5441 """Return a constructor of the datatype `self`.
5442
5443 >>> List = Datatype('List')
5444 >>> List.declare('cons', ('car', IntSort()), ('cdr', List))
5445 >>> List.declare('nil')
5446 >>> List = List.create()
5447 >>> # List is now a Z3 declaration
5448 >>> List.num_constructors()
5449 2
5450 >>> List.constructor(0)
5451 cons
5452 >>> List.constructor(1)
5453 nil
5454 """
5455 if z3_debug():
5456 _z3_assert(idx < self.num_constructors(), "Invalid constructor index")
5457 return FuncDeclRef(Z3_get_datatype_sort_constructor(self.ctx_ref(), self.ast, idx), self.ctx)
5458
Z3_func_decl Z3_API Z3_get_datatype_sort_constructor(Z3_context c, Z3_sort t, unsigned idx)
Return idx'th constructor.

Referenced by accessor().

◆ num_constructors()

num_constructors ( self)
Return the number of constructors in the given Z3 datatype.

>>> List = Datatype('List')
>>> List.declare('cons', ('car', IntSort()), ('cdr', List))
>>> List.declare('nil')
>>> List = List.create()
>>> # List is now a Z3 declaration
>>> List.num_constructors()
2

Definition at line 5427 of file z3py.py.

5427 def num_constructors(self):
5428 """Return the number of constructors in the given Z3 datatype.
5429
5430 >>> List = Datatype('List')
5431 >>> List.declare('cons', ('car', IntSort()), ('cdr', List))
5432 >>> List.declare('nil')
5433 >>> List = List.create()
5434 >>> # List is now a Z3 declaration
5435 >>> List.num_constructors()
5436 2
5437 """
5438 return int(Z3_get_datatype_sort_num_constructors(self.ctx_ref(), self.ast))
5439
unsigned Z3_API Z3_get_datatype_sort_num_constructors(Z3_context c, Z3_sort t)
Return number of constructors for datatype.

Referenced by accessor(), constructor(), and recognizer().

◆ recognizer()

recognizer ( self,
idx )
In Z3, each constructor has an associated recognizer predicate.

If the constructor is named `name`, then the recognizer `is_name`.

>>> List = Datatype('List')
>>> List.declare('cons', ('car', IntSort()), ('cdr', List))
>>> List.declare('nil')
>>> List = List.create()
>>> # List is now a Z3 declaration
>>> List.num_constructors()
2
>>> List.recognizer(0)
is(cons)
>>> List.recognizer(1)
is(nil)
>>> simplify(List.is_nil(List.cons(10, List.nil)))
False
>>> simplify(List.is_cons(List.cons(10, List.nil)))
True
>>> l = Const('l', List)
>>> simplify(List.is_cons(l))
is(cons, l)

Definition at line 5459 of file z3py.py.

5459 def recognizer(self, idx):
5460 """In Z3, each constructor has an associated recognizer predicate.
5461
5462 If the constructor is named `name`, then the recognizer `is_name`.
5463
5464 >>> List = Datatype('List')
5465 >>> List.declare('cons', ('car', IntSort()), ('cdr', List))
5466 >>> List.declare('nil')
5467 >>> List = List.create()
5468 >>> # List is now a Z3 declaration
5469 >>> List.num_constructors()
5470 2
5471 >>> List.recognizer(0)
5472 is(cons)
5473 >>> List.recognizer(1)
5474 is(nil)
5475 >>> simplify(List.is_nil(List.cons(10, List.nil)))
5476 False
5477 >>> simplify(List.is_cons(List.cons(10, List.nil)))
5478 True
5479 >>> l = Const('l', List)
5480 >>> simplify(List.is_cons(l))
5481 is(cons, l)
5482 """
5483 if z3_debug():
5484 _z3_assert(idx < self.num_constructors(), "Invalid recognizer index")
5485 return FuncDeclRef(Z3_get_datatype_sort_recognizer(self.ctx_ref(), self.ast, idx), self.ctx)
5486
Z3_func_decl Z3_API Z3_get_datatype_sort_recognizer(Z3_context c, Z3_sort t, unsigned idx)
Return idx'th recognizer.