81 lines
1.9 KiB
Python
81 lines
1.9 KiB
Python
"""
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Plane module
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SPDX - License - Identifier: LGPL - 3.0 - or -later
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Copyright © 2022 Concordia CERC group
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Project Coder Pilar Monsalvete Alvarez de Uribarri pilar.monsalvete@concordia.ca
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"""
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from typing import TypeVar
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import numpy as np
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Point = TypeVar('Point')
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class Plane:
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"""
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Plane class
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"""
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def __init__(self, origin, normal):
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self._origin = origin
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self._normal = normal
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self._equation = None
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self._opposite_normal = None
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@property
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def origin(self) -> Point:
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"""
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Get plane origin point
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:return: Point
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"""
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return self._origin
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@property
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def normal(self):
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"""
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Get plane normal [x, y, z]
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:return: np.ndarray
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"""
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return self._normal
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@property
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def equation(self) -> (float, float, float, float):
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"""
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Get the plane equation components Ax + By + Cz + D = 0
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:return: (A, B, C, D)
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"""
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if self._equation is None:
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a = self.normal[0]
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b = self.normal[1]
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c = self.normal[2]
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d = ((-1 * self.origin.coordinates[0]) * self.normal[0])
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d += ((-1 * self.origin.coordinates[1]) * self.normal[1])
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d += ((-1 * self.origin.coordinates[2]) * self.normal[2])
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self._equation = (a, b, c, d)
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return self._equation
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def distance(self, point):
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"""
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Distance between the given point and the plane
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:return: float
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"""
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p = point
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e = self.equation
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denominator = np.abs((p[0] * e[0]) + (p[1] * e[1]) + (p[2] * e[2]) + e[3])
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numerator = np.sqrt((e[0]**2) + (e[1]**2) + (e[2]**2))
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return float(denominator / numerator)
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@property
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def opposite_normal(self):
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"""
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get plane normal in the opposite direction [x, y, z]
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:return: np.ndarray
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"""
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if self._opposite_normal is None:
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coordinates = []
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for coordinate in self.normal:
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coordinates.append(-coordinate)
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self._opposite_normal = np.array(coordinates)
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return self._opposite_normal
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