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35 lines
955 B
35 lines
955 B
11 months ago
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import math
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class Sphere:
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def __init__(self, radius, center):
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self.radius = radius
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self.center = center
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# specify class for the input parameters
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def caseSpheresBOnAFace(rA, rB):
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#intersection:
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rAsq = rA**2
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rBsq = rB**2
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crownHeightA = rBsq / (2 * rA)
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crownHeightB = rB - crownHeightA
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crownVolumeA = math.pi * crownHeightA**2 * (3 * rA - crownHeightA) / 3
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crownVolumeB = math.pi * crownHeightB**2 * (3 * rB - crownHeightB) / 3
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volumeInter = crownVolumeA + crownVolumeB
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#union:
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volumeA = 4/3 * math.pi * rAsq * rA
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volumeB = 4/3 * math.pi * rBsq * rB
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volumeUnion = volumeA + volumeB - volumeInter
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#difference:
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volumeDiff = volumeA - volumeInter
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return volumeInter, volumeUnion, volumeDiff
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if __name__=="__main__":
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volumeInter, volumeUnion, volumeDiff = caseSpheresBOnAFace(800000, 1000)
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print("volumeInter = ", volumeInter)
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print("volumeUnion = ", volumeUnion)
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print("volumeDiff = ", volumeDiff)
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