Mercurial > ldcheck / annotate

geometry.py@50d3086070df (annotated)

geometry.py

Sun, 10 Dec 2017 15:46:47 +0200

author
Santeri Piippo
date
Sun, 10 Dec 2017 15:46:47 +0200
changeset 2
50d3086070df
parent 1
5411a25cfca7
child 3
1dc58f44d556
permissions
-rw-r--r--

Moved the parsing function into a new file

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1 class Vertex:
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2 def __init__(self, x, y, z):
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3 self.x, self.y, self.z = x, y, z
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4 def __repr__(self):
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5 return str.format('Vertex({!r}, {!r}, {!r})', self.x, self.y, self.z)
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6 def distance_to(self, other):
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7 # can't use hypot because of 3 arguments
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8 from math import sqrt
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9 return sqrt(
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10 (self.x - other.x) ** 2 +
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11 (self.y - other.y) ** 2 +
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12 (self.z - other.z) ** 2
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13 )
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14
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15 class LineSegment:
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16 def __init__(self, v1, v2):
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17 self.v1, self.v2 = v1, v2
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18 def __repr__(self):
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19 return str.format('LineSegment({!r}, {!r})', self.v1, self.v2)
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20
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21 class Polygon:
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22 def __init__(self, vertices):
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23 self.vertices = vertices
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24 def __repr__(self):
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25 return str.format('Polygon({!r})', self.vertices)
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26
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27 def is_real(number):
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28 return isinstance(number, int) or isinstance(number, float)
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29
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30 class TransformationMatrix:
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31 '''
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32 A 3×3 matrix forming the top-left portion of a full 4×4 transformation
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33 matrix.
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34 '''
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35 def __init__(self, values):
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36 assert(all(is_real(x) for x in values))
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37 assert len(values) == 9
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38 self.values = values
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39 def __repr__(self):
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40 return str.format('TransformationMatrix({!r})', self.values)
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41 def __getitem__(self, index):
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42 return self.values[index]
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43
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44 def complete_matrix(matrix, anchor):
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45 '''
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46 Combines a 3×3 matrix and an anchor vertex into a full 4×4
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47 transformation matrix.
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48 '''
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49 return [
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50 matrix[0], matrix[1], matrix[2], anchor.x,
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51 matrix[3], matrix[4], matrix[5], anchor.y,
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52 matrix[6], matrix[7], matrix[8], anchor.z,
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53 0, 0, 0, 1,
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54 ]
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55
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56 def transform(vertex, transformation_matrix):
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57 '''
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58 Transforms a vertex by a 4×4 transformation matrix.
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59 '''
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60 u = transformation_matrix[0] * vertex.x \
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61 + transformation_matrix[1] * vertex.y \
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62 + transformation_matrix[2] * vertex.z \
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63 + transformation_matrix[3]
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64 v = transformation_matrix[4] * vertex.x \
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65 + transformation_matrix[5] * vertex.y \
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66 + transformation_matrix[6] * vertex.z \
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67 + transformation_matrix[7]
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68 w = transformation_matrix[8] * vertex.x \
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69 + transformation_matrix[9] * vertex.y \
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70 + transformation_matrix[10] * vertex.z \
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71 + transformation_matrix[11]
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72 return Vertex(u, v, w)

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