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ArithSortRef Class Reference

Arithmetic. More...

+ Inheritance diagram for ArithSortRef:

Public Member Functions

 is_real (self)
 
 is_int (self)
 
 is_bool (self)
 
 subsort (self, other)
 
 cast (self, val)
 
- Public Member Functions inherited from SortRef
 as_ast (self)
 
 get_id (self)
 
 kind (self)
 
 name (self)
 
 __eq__ (self, other)
 
 __ne__ (self, other)
 
 __hash__ (self)
 
- Public Member Functions inherited from AstRef
 __init__ (self, ast, ctx=None)
 
 __del__ (self)
 
 __deepcopy__ (self, memo={})
 
 __str__ (self)
 
 __repr__ (self)
 
 __nonzero__ (self)
 
 __bool__ (self)
 
 sexpr (self)
 
 ctx_ref (self)
 
 eq (self, other)
 
 translate (self, target)
 
 __copy__ (self)
 
 hash (self)
 
- Public Member Functions inherited from Z3PPObject
 use_pp (self)
 

Data Fields

str ctx = val.ctx, "Context mismatch")
 
- Data Fields inherited from SortRef
 ast
 
 ctx
 
- Data Fields inherited from AstRef
 ast = ast
 
 ctx = _get_ctx(ctx)
 

Additional Inherited Members

- Protected Member Functions inherited from Z3PPObject
 _repr_html_ (self)
 

Detailed Description

Arithmetic.

Real and Integer sorts.

Definition at line 2345 of file z3py.py.

Member Function Documentation

◆ cast()

cast ( self,
val )
Try to cast `val` as an Integer or Real.

>>> IntSort().cast(10)
10
>>> is_int(IntSort().cast(10))
True
>>> is_int(10)
False
>>> RealSort().cast(10)
10
>>> is_real(RealSort().cast(10))
True

Reimplemented from SortRef.

Definition at line 2383 of file z3py.py.

2383 def cast(self, val):
2384 """Try to cast `val` as an Integer or Real.
2385
2386 >>> IntSort().cast(10)
2387 10
2388 >>> is_int(IntSort().cast(10))
2389 True
2390 >>> is_int(10)
2391 False
2392 >>> RealSort().cast(10)
2393 10
2394 >>> is_real(RealSort().cast(10))
2395 True
2396 """
2397 if is_expr(val):
2398 if z3_debug():
2399 _z3_assert(self.ctx == val.ctx, "Context mismatch")
2400 val_s = val.sort()
2401 if self.eq(val_s):
2402 return val
2403 if val_s.is_int() and self.is_real():
2404 return ToReal(val)
2405 if val_s.is_bool() and self.is_int():
2406 return If(val, 1, 0)
2407 if val_s.is_bool() and self.is_real():
2408 return ToReal(If(val, 1, 0))
2409 if z3_debug():
2410 _z3_assert(False, "Z3 Integer/Real expression expected")
2411 else:
2412 if self.is_int():
2413 return IntVal(val, self.ctx)
2414 if self.is_real():
2415 return RealVal(val, self.ctx)
2416 if z3_debug():
2417 msg = "int, long, float, string (numeral), or Z3 Integer/Real expression expected. Got %s"
2418 _z3_assert(False, msg % self)
2419
2420

◆ is_bool()

is_bool ( self)

Definition at line 2376 of file z3py.py.

2376 def is_bool(self):
2377 return False
2378

◆ is_int()

is_int ( self)
Return `True` if `self` is of the sort Integer.

>>> x = Int('x')
>>> x.is_int()
True
>>> (x + 1).is_int()
True
>>> x = Real('x')
>>> x.is_int()
False

Definition at line 2362 of file z3py.py.

2362 def is_int(self):
2363 """Return `True` if `self` is of the sort Integer.
2364
2365 >>> x = Int('x')
2366 >>> x.is_int()
2367 True
2368 >>> (x + 1).is_int()
2369 True
2370 >>> x = Real('x')
2371 >>> x.is_int()
2372 False
2373 """
2374 return self.kind() == Z3_INT_SORT
2375

Referenced by IntNumRef.as_long(), and ArithSortRef.subsort().

◆ is_real()

is_real ( self)
Return `True` if `self` is of the sort Real.

>>> x = Real('x')
>>> x.is_real()
True
>>> (x + 1).is_real()
True
>>> x = Int('x')
>>> x.is_real()
False

Definition at line 2348 of file z3py.py.

2348 def is_real(self):
2349 """Return `True` if `self` is of the sort Real.
2350
2351 >>> x = Real('x')
2352 >>> x.is_real()
2353 True
2354 >>> (x + 1).is_real()
2355 True
2356 >>> x = Int('x')
2357 >>> x.is_real()
2358 False
2359 """
2360 return self.kind() == Z3_REAL_SORT
2361

◆ subsort()

subsort ( self,
other )
Return `True` if `self` is a subsort of `other`.

Reimplemented from SortRef.

Definition at line 2379 of file z3py.py.

2379 def subsort(self, other):
2380 """Return `True` if `self` is a subsort of `other`."""
2381 return self.is_int() and is_arith_sort(other) and other.is_real()
2382

Field Documentation

◆ ctx

ctx = val.ctx, "Context mismatch")

Definition at line 2399 of file z3py.py.

Referenced by ArithRef.__add__(), BitVecRef.__add__(), BitVecRef.__and__(), FuncDeclRef.__call__(), AstMap.__contains__(), AstRef.__copy__(), AstVector.__copy__(), FuncInterp.__copy__(), Goal.__copy__(), ModelRef.__copy__(), AstMap.__deepcopy__(), AstRef.__deepcopy__(), AstVector.__deepcopy__(), Datatype.__deepcopy__(), FuncEntry.__deepcopy__(), FuncInterp.__deepcopy__(), Goal.__deepcopy__(), ModelRef.__deepcopy__(), ParamDescrsRef.__deepcopy__(), ParamsRef.__deepcopy__(), Statistics.__deepcopy__(), AstMap.__del__(), AstRef.__del__(), AstVector.__del__(), Context.__del__(), FuncEntry.__del__(), FuncInterp.__del__(), Goal.__del__(), ModelRef.__del__(), ParamDescrsRef.__del__(), ParamsRef.__del__(), ScopedConstructor.__del__(), ScopedConstructorList.__del__(), Solver.__del__(), Statistics.__del__(), ArithRef.__div__(), BitVecRef.__div__(), ExprRef.__eq__(), ArithRef.__ge__(), BitVecRef.__ge__(), AstMap.__getitem__(), AstVector.__getitem__(), ModelRef.__getitem__(), Statistics.__getitem__(), ArithRef.__gt__(), BitVecRef.__gt__(), BitVecRef.__invert__(), ArithRef.__le__(), BitVecRef.__le__(), AstMap.__len__(), AstVector.__len__(), ModelRef.__len__(), Statistics.__len__(), BitVecRef.__lshift__(), ArithRef.__lt__(), BitVecRef.__lt__(), ArithRef.__mod__(), BitVecRef.__mod__(), ArithRef.__mul__(), BitVecRef.__mul__(), BoolRef.__mul__(), ExprRef.__ne__(), ArithRef.__neg__(), BitVecRef.__neg__(), BitVecRef.__or__(), ArithRef.__pow__(), ArithRef.__radd__(), BitVecRef.__radd__(), BitVecRef.__rand__(), ArithRef.__rdiv__(), BitVecRef.__rdiv__(), AstMap.__repr__(), ParamDescrsRef.__repr__(), ParamsRef.__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__(), AstMap.__setitem__(), AstVector.__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(), 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(), AstVector.push(), Solver.push(), QuantifierRef.qid(), ArraySortRef.range(), FuncDeclRef.range(), DatatypeSortRef.recognizer(), Context.ref(), AstMap.reset(), Solver.reset(), AstVector.resize(), ParamsRef.set(), Solver.set(), AstVector.sexpr(), Goal.sexpr(), ModelRef.sexpr(), Goal.size(), ParamDescrsRef.size(), QuantifierRef.skolem_id(), AstRef.translate(), AstVector.translate(), Goal.translate(), ModelRef.translate(), ParamsRef.validate(), FuncEntry.value(), QuantifierRef.var_name(), and QuantifierRef.var_sort().