Mercurial > touhou
annotate pytouhou/utils/matrix.py @ 73:e4af16a019d3
Do not remove enemies as soon as they lose their animation (Daiyousei...)
author | Thibaut Girka <thib@sitedethib.com> |
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date | Sun, 28 Aug 2011 11:20:16 +0200 |
parents | ab826bc29aa2 |
children | d1c82d43bbf3 |
rev | line source |
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1 # -*- encoding: utf-8 -*- |
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2 ## |
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3 ## Copyright (C) 2011 Thibaut Girka <thib@sitedethib.com> |
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4 ## |
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5 ## This program is free software; you can redistribute it and/or modify |
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6 ## it under the terms of the GNU General Public License as published |
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7 ## by the Free Software Foundation; version 3 only. |
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8 ## |
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9 ## This program is distributed in the hope that it will be useful, |
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10 ## but WITHOUT ANY WARRANTY; without even the implied warranty of |
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11 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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12 ## GNU General Public License for more details. |
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13 ## |
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14 |
4 | 15 #TODO: find/learn to use a proper lib |
16 | |
17 from math import sin, cos | |
18 | |
19 class Matrix(object): | |
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20 def __init__(self, data=None): |
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21 self.data = data or [[0] * 4 for i in xrange(4)] |
4 | 22 |
23 | |
24 def mult(self, other_matrix): | |
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25 d1 = self.data |
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26 d2 = other_matrix.data |
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27 return Matrix([[sum(d1[i][a] * d2[a][j] for a in xrange(4)) for j in xrange(4)] for i in xrange(4)]) |
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28 |
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29 |
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30 def flip(self): |
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31 self.data[0][:] = (-x for x in self.data[0]) |
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32 |
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33 |
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34 def scale(self, x, y, z): |
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35 d1 = self.data |
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36 d1[0][:] = (a * x for a in d1[0]) |
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37 d1[1][:] = (a * y for a in d1[1]) |
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38 d1[2][:] = (a * z for a in d1[2]) |
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39 |
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40 |
31 | 41 def scale2d(self, x, y): |
42 d1 = self.data | |
43 d1[0][:] = (a * x for a in d1[0]) | |
44 d1[1][:] = (a * y for a in d1[1]) | |
45 | |
46 | |
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47 def translate(self, x, y, z): |
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48 d1 = self.data |
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49 a, b, c = (v * m for v, m in zip(d1[3][:3], (x, y, z))) |
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50 d1[0][:] = (v + a for v in d1[0]) |
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51 d1[1][:] = (v + b for v in d1[1]) |
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52 d1[2][:] = (v + c for v in d1[2]) |
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53 |
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54 |
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55 def rotate_x(self, angle): |
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56 d1 = self.data |
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57 cos_a = cos(angle) |
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58 sin_a = sin(angle) |
30 | 59 d1[1][:], d1[2][:] = ([cos_a * d1[1][i] - sin_a * d1[2][i] for i in range(4)], |
60 [sin_a * d1[1][i] + cos_a * d1[2][i] for i in range(4)]) | |
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61 |
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62 |
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63 def rotate_y(self, angle): |
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64 d1 = self.data |
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65 cos_a = cos(angle) |
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66 sin_a = sin(angle) |
44 | 67 d1[0][:], d1[2][:] = ([cos_a * d1[0][i] + sin_a * d1[2][i] for i in range(4)], |
68 [- sin_a * d1[0][i] + cos_a * d1[2][i] for i in range(4)]) | |
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69 |
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70 |
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71 def rotate_z(self, angle): |
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72 d1 = self.data |
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73 cos_a = cos(angle) |
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74 sin_a = sin(angle) |
30 | 75 d1[0][:], d1[1][:] = ([cos_a * d1[0][i] - sin_a * d1[1][i] for i in range(4)], |
76 [sin_a * d1[0][i] + cos_a * d1[1][i] for i in range(4)]) | |
4 | 77 |
78 | |
79 @classmethod | |
80 def get_translation_matrix(cls, x, y, z): | |
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81 return cls([[1., 0., 0., x], |
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82 [0., 1., 0., y], |
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83 [0., 0., 1., z], |
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84 [0., 0., 0., 1.]]) |
4 | 85 |
86 | |
87 @classmethod | |
88 def get_scaling_matrix(cls, x, y, z): | |
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89 return cls([[x, 0., 0., 0.], |
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90 [0., y, 0., 0.], |
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91 [0., 0., z, 0.], |
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92 [0., 0., 0., 1.]]) |
4 | 93 |
94 | |
95 @classmethod | |
96 def get_rotation_matrix(cls, angle, axis): | |
97 """Only handles axis = x, y or z.""" | |
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98 cos_a = cos(angle) |
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99 sin_a = sin(angle) |
4 | 100 if axis == 'x': |
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101 return Matrix([[ 1., 0., 0., 0.], |
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102 [ 0., cos_a, -sin_a, 0.], |
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103 [ 0., sin_a, cos_a, 0.], |
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104 [ 0., 0., 0., 1.]]) |
4 | 105 elif axis == 'y': |
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106 return Matrix([[ cos_a, 0., sin_a, 0.], |
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107 [ 0., 1., 0., 0.], |
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108 [-sin_a, 0., cos_a, 0.], |
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109 [ 0., 0., 0., 1.]]) |
4 | 110 elif axis == 'z': |
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111 return Matrix([[ cos_a, -sin_a, 0., 0.], |
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112 [ sin_a, cos_a, 0., 0.], |
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113 [ 0., 0., 1., 0.], |
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114 [ 0., 0., 0., 1.]]) |
4 | 115 else: |
116 raise Exception | |
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117 |