31 lines
968 B
Python
31 lines
968 B
Python
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class Interval:
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"""Définit des intervalles de $\\mathbb{R}$"""
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def __init__(self, a: float, b: float) -> None:
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assert a <= b
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self.low = a
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self.up = b
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def __repr__(self) -> str:
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if self.up == self.low:
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return '{'+str(self.up)+'}'
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return f"[{self.low}, {self.up}]"
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def __len__(self) -> float:
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return self.up - self.low
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def __contains__(self, item: float) -> bool:
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return self.low <= item and item <= self.up
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def __eq__(self, interval):
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return self.low == interval.low and self.up == interval.up
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def intersect(self, interval) -> bool:
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return not (interval.low > self.up or self.low > interval.up)
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def intersection(self, interval):
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if interval.low > self.up or self.low > interval.up:
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return None
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new_min = max(self.low, interval.low)
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new_max = min(self.up, interval.up)
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return Interval(new_min, new_max)
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