38 lines
1.4 KiB
Python
38 lines
1.4 KiB
Python
import math
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from .Direction import Direction
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class Spherical:
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def __init__(self, distance, direction):
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self.distance = distance
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self.direction = direction
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# def __init__(self, distance, horizontal, vertical):
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# self.distance = distance
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# self.direction = Direction(horizontal, vertical)
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def to_cartesian(self):
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x = self.distance * math.sin(self.direction.horizontal) * math.cos(self.direction.vertical)
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y = self.distance * math.sin(self.direction.horizontal) * math.sin(self.direction.vertical)
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z = self.distance * math.cos(self.direction.horizontal)
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return x, y, z
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def from_cartesian(self, x, y, z):
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self.distance = math.sqrt(x**2 + y**2 + z**2)
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self.direction.horizontal = math.acos(z / self.distance)
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self.direction.vertical = math.atan2(y, x)
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def __add__(self, other):
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x1, y1, z1 = self.to_cartesian()
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x2, y2, z2 = other.to_cartesian()
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return Spherical.from_cartesian(x1 + x2, y1 + y2, z1 + z2)
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def __sub__(self, other):
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x1, y1, z1 = self.to_cartesian()
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x2, y2, z2 = other.to_cartesian()
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return Spherical.from_cartesian(x1 - x2, y1 - y2, z1 - z2)
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def __repr__(self):
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return f"Spherical(r={self.distance}, horizontal={self.direction.horizontal}, phi={self.direction.vertical})"
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Spherical.zero = Spherical(0, Direction.forward)
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