Initialisation du repository de Beta

venv/lib/python3.12/site-packages/sympy/sets/handlers/add.py

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+from sympy.core.numbers import oo, Infinity, NegativeInfinity
+from sympy.core.singleton import S
+from sympy.core import Basic, Expr
+from sympy.multipledispatch import Dispatcher
+from sympy.sets import Interval, FiniteSet
+
+
+
+# XXX: The functions in this module are clearly not tested and are broken in a
+# number of ways.
+
+_set_add = Dispatcher('_set_add')
+_set_sub = Dispatcher('_set_sub')
+
+
+@_set_add.register(Basic, Basic)
+def _(x, y):
+    return None
+
+
+@_set_add.register(Expr, Expr)
+def _(x, y):
+    return x+y
+
+
+@_set_add.register(Interval, Interval)
+def _(x, y):
+    """
+    Additions in interval arithmetic
+    https://en.wikipedia.org/wiki/Interval_arithmetic
+    """
+    return Interval(x.start + y.start, x.end + y.end,
+                    x.left_open or y.left_open, x.right_open or y.right_open)
+
+
+@_set_add.register(Interval, Infinity)
+def _(x, y):
+    if x.start is S.NegativeInfinity:
+        return Interval(-oo, oo)
+    return FiniteSet({S.Infinity})
+
+@_set_add.register(Interval, NegativeInfinity)
+def _(x, y):
+    if x.end is S.Infinity:
+        return Interval(-oo, oo)
+    return FiniteSet({S.NegativeInfinity})
+
+
+@_set_sub.register(Basic, Basic)
+def _(x, y):
+    return None
+
+
+@_set_sub.register(Expr, Expr)
+def _(x, y):
+    return x-y
+
+
+@_set_sub.register(Interval, Interval)
+def _(x, y):
+    """
+    Subtractions in interval arithmetic
+    https://en.wikipedia.org/wiki/Interval_arithmetic
+    """
+    return Interval(x.start - y.end, x.end - y.start,
+                    x.left_open or y.right_open, x.right_open or y.left_open)
+
+
+@_set_sub.register(Interval, Infinity)
+def _(x, y):
+    if x.start is S.NegativeInfinity:
+        return Interval(-oo, oo)
+    return FiniteSet(-oo)
+
+@_set_sub.register(Interval, NegativeInfinity)
+def _(x, y):
+    if x.start is S.NegativeInfinity:
+        return Interval(-oo, oo)
+    return FiniteSet(-oo)