1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253 |
- from sympy.core.relational import Eq, is_eq
- from sympy.core.basic import Basic
- from sympy.core.logic import fuzzy_and, fuzzy_bool
- from sympy.logic.boolalg import And
- from sympy.multipledispatch import dispatch
- from sympy.sets.sets import tfn, ProductSet, Interval, FiniteSet, Set
- @dispatch(Interval, FiniteSet) # type:ignore
- def _eval_is_eq(lhs, rhs): # noqa: F811
- return False
- @dispatch(FiniteSet, Interval) # type:ignore
- def _eval_is_eq(lhs, rhs): # noqa: F811
- return False
- @dispatch(Interval, Interval) # type:ignore
- def _eval_is_eq(lhs, rhs): # noqa: F811
- return And(Eq(lhs.left, rhs.left),
- Eq(lhs.right, rhs.right),
- lhs.left_open == rhs.left_open,
- lhs.right_open == rhs.right_open)
- @dispatch(FiniteSet, FiniteSet) # type:ignore
- def _eval_is_eq(lhs, rhs): # noqa: F811
- def all_in_both():
- s_set = set(lhs.args)
- o_set = set(rhs.args)
- yield fuzzy_and(lhs._contains(e) for e in o_set - s_set)
- yield fuzzy_and(rhs._contains(e) for e in s_set - o_set)
- return tfn[fuzzy_and(all_in_both())]
- @dispatch(ProductSet, ProductSet) # type:ignore
- def _eval_is_eq(lhs, rhs): # noqa: F811
- if len(lhs.sets) != len(rhs.sets):
- return False
- eqs = (is_eq(x, y) for x, y in zip(lhs.sets, rhs.sets))
- return tfn[fuzzy_and(map(fuzzy_bool, eqs))]
- @dispatch(Set, Basic) # type:ignore
- def _eval_is_eq(lhs, rhs): # noqa: F811
- return False
- @dispatch(Set, Set) # type:ignore
- def _eval_is_eq(lhs, rhs): # noqa: F811
- return tfn[fuzzy_and(a.is_subset(b) for a, b in [(lhs, rhs), (rhs, lhs)])]
|