| | 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) |
| |
|
