98 lines
2.2 KiB
Python
98 lines
2.2 KiB
Python
import math
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class Vector2d:
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def __init__(self, x, y):
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self.points = [x, y]
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@property
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def x(self):
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return self.points[0]
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@x.setter
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def x(self, value):
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self.points[0] = value
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@property
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def y(self):
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return self.points[1]
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@y.setter
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def y(self, value):
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self.points[1] = value
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def __getitem__(self, key):
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return self.points[key]
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def __setitem__(self, key, value):
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self.points[key] = value
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def __str__(self):
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return "%d %d" %(self.x, self.y)
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#def get_normalized_form(self):
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# return Vector3d(self.x / 2, self.y / 2, self.z / 2)
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class Vector3d(Vector2d):
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def __init__(self, x, y, z):
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self.points = [x, y, z]
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def cross_product(self, vector3d):
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# Returns a line that is perpendicular to the parameter
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# and self.
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# Returns the 'normal'.
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x = self.y * vector3d.z - self.z * vector3d.y
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y = self.z * vector3d.x - self.x * vector3d.z
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z = self.x * vector3d.y - self.y * vector3d.x
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return Vector3d(x, y, z)
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def dot_product(self, vector3d):
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# Returns a scalar that defines how similar two
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# vectors are to one another.
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return self.x * vector3d.x + self.y * vector3d.y + self.z * vector3d.z
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def vector_3d_length(self):
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return math.sqrt(self.dot_product(self))
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def subtract_3d(self, vector3d):
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return Vector3d(self.x - vector3d.x, self.y - vector3d.y, self.z - vector3d.z)
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def add_3d(self, vector3d):
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return Vector3d(self.x + vector3d.x, self.y + vector3d.y, self.z + vector3d.z)
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def divide_3d(self, value):
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return Vector3d(self.x / value, self.y / value, self.z / value)
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def get_normalized_form(self):
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length = self.vector_3d_length()
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return Vector3d(self.x / length, self.y / length, self.z / length)
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@property
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def z(self):
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return self.points[2]
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@z.setter
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def z(self, value):
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self.points[2] = value
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def __str__(self):
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return "%d %d %d" %(self.x, self.y, self.z)
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class Vector4d(Vector3d):
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def __init__(self, x, y, z, w):
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self.points = [x, y, z, w]
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@property
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def w(self):
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return self.points[3]
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@w.setter
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def w(self, value):
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self.points[3] = value
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def __str__(self):
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return "%d %d %d %d" %(self.x, self.y, self.z, self.w)
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#def get_normalized_form(self):
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# return Vector3d(self.x / 4, self.y / 4, self.z / 4)
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