98 lines
2.9 KiB
Python
98 lines
2.9 KiB
Python
|
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):
|
||
|
|
# TODO: this could be implemented straight into `imageset`:
|
||
|
|
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)
|