| from sympy.core import Expr |
| from sympy.core.decorators import call_highest_priority, _sympifyit |
| from .fancysets import ImageSet |
| from .sets import set_add, set_sub, set_mul, set_div, set_pow, set_function |
|
|
|
|
| class SetExpr(Expr): |
| """An expression that can take on values of a set. |
| |
| Examples |
| ======== |
| |
| >>> from sympy import Interval, FiniteSet |
| >>> from sympy.sets.setexpr import SetExpr |
| |
| >>> a = SetExpr(Interval(0, 5)) |
| >>> b = SetExpr(FiniteSet(1, 10)) |
| >>> (a + b).set |
| Union(Interval(1, 6), Interval(10, 15)) |
| >>> (2*a + b).set |
| Interval(1, 20) |
| """ |
| _op_priority = 11.0 |
|
|
| def __new__(cls, setarg): |
| return Expr.__new__(cls, setarg) |
|
|
| set = property(lambda self: self.args[0]) |
|
|
| def _latex(self, printer): |
| return r"SetExpr\left({}\right)".format(printer._print(self.set)) |
|
|
| @_sympifyit('other', NotImplemented) |
| @call_highest_priority('__radd__') |
| def __add__(self, other): |
| return _setexpr_apply_operation(set_add, self, other) |
|
|
| @_sympifyit('other', NotImplemented) |
| @call_highest_priority('__add__') |
| def __radd__(self, other): |
| return _setexpr_apply_operation(set_add, other, self) |
|
|
| @_sympifyit('other', NotImplemented) |
| @call_highest_priority('__rmul__') |
| def __mul__(self, other): |
| return _setexpr_apply_operation(set_mul, self, other) |
|
|
| @_sympifyit('other', NotImplemented) |
| @call_highest_priority('__mul__') |
| def __rmul__(self, other): |
| return _setexpr_apply_operation(set_mul, other, self) |
|
|
| @_sympifyit('other', NotImplemented) |
| @call_highest_priority('__rsub__') |
| def __sub__(self, other): |
| return _setexpr_apply_operation(set_sub, self, other) |
|
|
| @_sympifyit('other', NotImplemented) |
| @call_highest_priority('__sub__') |
| def __rsub__(self, other): |
| return _setexpr_apply_operation(set_sub, other, self) |
|
|
| @_sympifyit('other', NotImplemented) |
| @call_highest_priority('__rpow__') |
| def __pow__(self, other): |
| return _setexpr_apply_operation(set_pow, self, other) |
|
|
| @_sympifyit('other', NotImplemented) |
| @call_highest_priority('__pow__') |
| def __rpow__(self, other): |
| return _setexpr_apply_operation(set_pow, other, self) |
|
|
| @_sympifyit('other', NotImplemented) |
| @call_highest_priority('__rtruediv__') |
| def __truediv__(self, other): |
| return _setexpr_apply_operation(set_div, self, other) |
|
|
| @_sympifyit('other', NotImplemented) |
| @call_highest_priority('__truediv__') |
| def __rtruediv__(self, other): |
| return _setexpr_apply_operation(set_div, other, self) |
|
|
| def _eval_func(self, func): |
| |
| res = set_function(func, self.set) |
| if res is None: |
| return SetExpr(ImageSet(func, self.set)) |
| return SetExpr(res) |
|
|
|
|
| def _setexpr_apply_operation(op, x, y): |
| if isinstance(x, SetExpr): |
| x = x.set |
| if isinstance(y, SetExpr): |
| y = y.set |
| out = op(x, y) |
| return SetExpr(out) |
|
|
