Initialisation du repository de Beta

venv/lib/python3.12/site-packages/sympy/plotting/intervalmath/interval_membership.py

@@ -0,0 +1,78 @@
+from sympy.core.logic import fuzzy_and, fuzzy_or, fuzzy_not, fuzzy_xor
+
+
+class intervalMembership:
+    """Represents a boolean expression returned by the comparison of
+    the interval object.
+
+    Parameters
+    ==========
+
+    (a, b) : (bool, bool)
+        The first value determines the comparison as follows:
+        - True: If the comparison is True throughout the intervals.
+        - False: If the comparison is False throughout the intervals.
+        - None: If the comparison is True for some part of the intervals.
+
+        The second value is determined as follows:
+        - True: If both the intervals in comparison are valid.
+        - False: If at least one of the intervals is False, else
+        - None
+    """
+    def __init__(self, a, b):
+        self._wrapped = (a, b)
+
+    def __getitem__(self, i):
+        try:
+            return self._wrapped[i]
+        except IndexError:
+            raise IndexError(
+                "{} must be a valid indexing for the 2-tuple."
+                .format(i))
+
+    def __len__(self):
+        return 2
+
+    def __iter__(self):
+        return iter(self._wrapped)
+
+    def __str__(self):
+        return "intervalMembership({}, {})".format(*self)
+    __repr__ = __str__
+
+    def __and__(self, other):
+        if not isinstance(other, intervalMembership):
+            raise ValueError(
+                "The comparison is not supported for {}.".format(other))
+
+        a1, b1 = self
+        a2, b2 = other
+        return intervalMembership(fuzzy_and([a1, a2]), fuzzy_and([b1, b2]))
+
+    def __or__(self, other):
+        if not isinstance(other, intervalMembership):
+            raise ValueError(
+                "The comparison is not supported for {}.".format(other))
+
+        a1, b1 = self
+        a2, b2 = other
+        return intervalMembership(fuzzy_or([a1, a2]), fuzzy_and([b1, b2]))
+
+    def __invert__(self):
+        a, b = self
+        return intervalMembership(fuzzy_not(a), b)
+
+    def __xor__(self, other):
+        if not isinstance(other, intervalMembership):
+            raise ValueError(
+                "The comparison is not supported for {}.".format(other))
+
+        a1, b1 = self
+        a2, b2 = other
+        return intervalMembership(fuzzy_xor([a1, a2]), fuzzy_and([b1, b2]))
+
+    def __eq__(self, other):
+        return self._wrapped == other
+
+    def __ne__(self, other):
+        return self._wrapped != other