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 5373 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 5436 of file z3py.py.

5436 def accessor(self, i, j):
5437 """In Z3, each constructor has 0 or more accessor.
5438 The number of accessors is equal to the arity of the constructor.
5439
5440 >>> List = Datatype('List')
5441 >>> List.declare('cons', ('car', IntSort()), ('cdr', List))
5442 >>> List.declare('nil')
5443 >>> List = List.create()
5444 >>> List.num_constructors()
5445 2
5446 >>> List.constructor(0)
5447 cons
5448 >>> num_accs = List.constructor(0).arity()
5449 >>> num_accs
5450 2
5451 >>> List.accessor(0, 0)
5452 car
5453 >>> List.accessor(0, 1)
5454 cdr
5455 >>> List.constructor(1)
5456 nil
5457 >>> num_accs = List.constructor(1).arity()
5458 >>> num_accs
5459 0
5460 """
5461 if z3_debug():
5462 _z3_assert(i < self.num_constructors(), "Invalid constructor index")
5463 _z3_assert(j < self.constructor(i).arity(), "Invalid accessor index")
5464 return FuncDeclRef(
5465 Z3_get_datatype_sort_constructor_accessor(self.ctx_ref(), self.ast, i, j),
5466 ctx=self.ctx,
5467 )
5468
5469
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 5389 of file z3py.py.

5389 def constructor(self, idx):
5390 """Return a constructor of the datatype `self`.
5391
5392 >>> List = Datatype('List')
5393 >>> List.declare('cons', ('car', IntSort()), ('cdr', List))
5394 >>> List.declare('nil')
5395 >>> List = List.create()
5396 >>> # List is now a Z3 declaration
5397 >>> List.num_constructors()
5398 2
5399 >>> List.constructor(0)
5400 cons
5401 >>> List.constructor(1)
5402 nil
5403 """
5404 if z3_debug():
5405 _z3_assert(idx < self.num_constructors(), "Invalid constructor index")
5406 return FuncDeclRef(Z3_get_datatype_sort_constructor(self.ctx_ref(), self.ast, idx), self.ctx)
5407
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 5376 of file z3py.py.

5376 def num_constructors(self):
5377 """Return the number of constructors in the given Z3 datatype.
5378
5379 >>> List = Datatype('List')
5380 >>> List.declare('cons', ('car', IntSort()), ('cdr', List))
5381 >>> List.declare('nil')
5382 >>> List = List.create()
5383 >>> # List is now a Z3 declaration
5384 >>> List.num_constructors()
5385 2
5386 """
5387 return int(Z3_get_datatype_sort_num_constructors(self.ctx_ref(), self.ast))
5388
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 5408 of file z3py.py.

5408 def recognizer(self, idx):
5409 """In Z3, each constructor has an associated recognizer predicate.
5410
5411 If the constructor is named `name`, then the recognizer `is_name`.
5412
5413 >>> List = Datatype('List')
5414 >>> List.declare('cons', ('car', IntSort()), ('cdr', List))
5415 >>> List.declare('nil')
5416 >>> List = List.create()
5417 >>> # List is now a Z3 declaration
5418 >>> List.num_constructors()
5419 2
5420 >>> List.recognizer(0)
5421 is(cons)
5422 >>> List.recognizer(1)
5423 is(nil)
5424 >>> simplify(List.is_nil(List.cons(10, List.nil)))
5425 False
5426 >>> simplify(List.is_cons(List.cons(10, List.nil)))
5427 True
5428 >>> l = Const('l', List)
5429 >>> simplify(List.is_cons(l))
5430 is(cons, l)
5431 """
5432 if z3_debug():
5433 _z3_assert(idx < self.num_constructors(), "Invalid recognizer index")
5434 return FuncDeclRef(Z3_get_datatype_sort_recognizer(self.ctx_ref(), self.ast, idx), self.ctx)
5435
Z3_func_decl Z3_API Z3_get_datatype_sort_recognizer(Z3_context c, Z3_sort t, unsigned idx)
Return idx'th recognizer.