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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 2338 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 2376 of file z3py.py.

2376 def cast(self, val):
2377 """Try to cast `val` as an Integer or Real.
2378
2379 >>> IntSort().cast(10)
2380 10
2381 >>> is_int(IntSort().cast(10))
2382 True
2383 >>> is_int(10)
2384 False
2385 >>> RealSort().cast(10)
2386 10
2387 >>> is_real(RealSort().cast(10))
2388 True
2389 """
2390 if is_expr(val):
2391 if z3_debug():
2392 _z3_assert(self.ctx == val.ctx, "Context mismatch")
2393 val_s = val.sort()
2394 if self.eq(val_s):
2395 return val
2396 if val_s.is_int() and self.is_real():
2397 return ToReal(val)
2398 if val_s.is_bool() and self.is_int():
2399 return If(val, 1, 0)
2400 if val_s.is_bool() and self.is_real():
2401 return ToReal(If(val, 1, 0))
2402 if z3_debug():
2403 _z3_assert(False, "Z3 Integer/Real expression expected")
2404 else:
2405 if self.is_int():
2406 return IntVal(val, self.ctx)
2407 if self.is_real():
2408 return RealVal(val, self.ctx)
2409 if z3_debug():
2410 msg = "int, long, float, string (numeral), or Z3 Integer/Real expression expected. Got %s"
2411 _z3_assert(False, msg % self)
2412
2413

◆ is_bool()

is_bool ( self)

Definition at line 2369 of file z3py.py.

2369 def is_bool(self):
2370 return False
2371

◆ 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 2355 of file z3py.py.

2355 def is_int(self):
2356 """Return `True` if `self` is of the sort Integer.
2357
2358 >>> x = Int('x')
2359 >>> x.is_int()
2360 True
2361 >>> (x + 1).is_int()
2362 True
2363 >>> x = Real('x')
2364 >>> x.is_int()
2365 False
2366 """
2367 return self.kind() == Z3_INT_SORT
2368

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 2341 of file z3py.py.

2341 def is_real(self):
2342 """Return `True` if `self` is of the sort Real.
2343
2344 >>> x = Real('x')
2345 >>> x.is_real()
2346 True
2347 >>> (x + 1).is_real()
2348 True
2349 >>> x = Int('x')
2350 >>> x.is_real()
2351 False
2352 """
2353 return self.kind() == Z3_REAL_SORT
2354

◆ subsort()

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

Reimplemented from SortRef.

Definition at line 2372 of file z3py.py.

2372 def subsort(self, other):
2373 """Return `True` if `self` is a subsort of `other`."""
2374 return self.is_int() and is_arith_sort(other) and other.is_real()
2375

Field Documentation

◆ ctx

ctx = val.ctx, "Context mismatch")

Definition at line 2392 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(), 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().