Z3
Public Member Functions
DatatypeSortRef Class Reference
+ Inheritance diagram for DatatypeSortRef:

Public Member Functions

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

Datatype sorts.

Definition at line 5254 of file z3py.py.

Member Function Documentation

◆ accessor()

def 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 5317 of file z3py.py.

5317  def accessor(self, i, j):
5318  """In Z3, each constructor has 0 or more accessor.
5319  The number of accessors is equal to the arity of the constructor.
5320 
5321  >>> List = Datatype('List')
5322  >>> List.declare('cons', ('car', IntSort()), ('cdr', List))
5323  >>> List.declare('nil')
5324  >>> List = List.create()
5325  >>> List.num_constructors()
5326  2
5327  >>> List.constructor(0)
5328  cons
5329  >>> num_accs = List.constructor(0).arity()
5330  >>> num_accs
5331  2
5332  >>> List.accessor(0, 0)
5333  car
5334  >>> List.accessor(0, 1)
5335  cdr
5336  >>> List.constructor(1)
5337  nil
5338  >>> num_accs = List.constructor(1).arity()
5339  >>> num_accs
5340  0
5341  """
5342  if z3_debug():
5343  _z3_assert(i < self.num_constructors(), "Invalid constructor index")
5344  _z3_assert(j < self.constructor(i).arity(), "Invalid accessor index")
5345  return FuncDeclRef(
5346  Z3_get_datatype_sort_constructor_accessor(self.ctx_ref(), self.ast, i, j),
5347  ctx=self.ctx,
5348  )
5349 
5350 
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.
def z3_debug()
Definition: z3py.py:62

◆ constructor()

def 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 5270 of file z3py.py.

5270  def constructor(self, idx):
5271  """Return a constructor of the datatype `self`.
5272 
5273  >>> List = Datatype('List')
5274  >>> List.declare('cons', ('car', IntSort()), ('cdr', List))
5275  >>> List.declare('nil')
5276  >>> List = List.create()
5277  >>> # List is now a Z3 declaration
5278  >>> List.num_constructors()
5279  2
5280  >>> List.constructor(0)
5281  cons
5282  >>> List.constructor(1)
5283  nil
5284  """
5285  if z3_debug():
5286  _z3_assert(idx < self.num_constructors(), "Invalid constructor index")
5287  return FuncDeclRef(Z3_get_datatype_sort_constructor(self.ctx_ref(), self.ast, idx), self.ctx)
5288 
Z3_func_decl Z3_API Z3_get_datatype_sort_constructor(Z3_context c, Z3_sort t, unsigned idx)
Return idx'th constructor.

Referenced by DatatypeSortRef.accessor().

◆ num_constructors()

def 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 5257 of file z3py.py.

5257  def num_constructors(self):
5258  """Return the number of constructors in the given Z3 datatype.
5259 
5260  >>> List = Datatype('List')
5261  >>> List.declare('cons', ('car', IntSort()), ('cdr', List))
5262  >>> List.declare('nil')
5263  >>> List = List.create()
5264  >>> # List is now a Z3 declaration
5265  >>> List.num_constructors()
5266  2
5267  """
5268  return int(Z3_get_datatype_sort_num_constructors(self.ctx_ref(), self.ast))
5269 
unsigned Z3_API Z3_get_datatype_sort_num_constructors(Z3_context c, Z3_sort t)
Return number of constructors for datatype.

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

◆ recognizer()

def 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 5289 of file z3py.py.

5289  def recognizer(self, idx):
5290  """In Z3, each constructor has an associated recognizer predicate.
5291 
5292  If the constructor is named `name`, then the recognizer `is_name`.
5293 
5294  >>> List = Datatype('List')
5295  >>> List.declare('cons', ('car', IntSort()), ('cdr', List))
5296  >>> List.declare('nil')
5297  >>> List = List.create()
5298  >>> # List is now a Z3 declaration
5299  >>> List.num_constructors()
5300  2
5301  >>> List.recognizer(0)
5302  is(cons)
5303  >>> List.recognizer(1)
5304  is(nil)
5305  >>> simplify(List.is_nil(List.cons(10, List.nil)))
5306  False
5307  >>> simplify(List.is_cons(List.cons(10, List.nil)))
5308  True
5309  >>> l = Const('l', List)
5310  >>> simplify(List.is_cons(l))
5311  is(cons, l)
5312  """
5313  if z3_debug():
5314  _z3_assert(idx < self.num_constructors(), "Invalid recognizer index")
5315  return FuncDeclRef(Z3_get_datatype_sort_recognizer(self.ctx_ref(), self.ast, idx), self.ctx)
5316 
Z3_func_decl Z3_API Z3_get_datatype_sort_recognizer(Z3_context c, Z3_sort t, unsigned idx)
Return idx'th recognizer.