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annotate pytouhou/utils/matrix.py @ 63:8527fe640844

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Implement simple arithmetic instructions.
author Emmanuel Gil Peyrot <linkmauve@linkmauve.fr>
date Wed, 24 Aug 2011 17:14:05 -0700
parents ab826bc29aa2
children d1c82d43bbf3
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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
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15 #TODO: find/learn to use a proper lib
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16
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17 from math import sin, cos
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18
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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)]
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23
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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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30 def flip(self):
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31 self.data[0][:] = (-x for x in self.data[0])
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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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41 def scale2d(self, x, y):
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42 d1 = self.data
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43 d1[0][:] = (a * x for a in d1[0])
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44 d1[1][:] = (a * y for a in d1[1])
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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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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)
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59 d1[1][:], d1[2][:] = ([cos_a * d1[1][i] - sin_a * d1[2][i] for i in range(4)],
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60 [sin_a * d1[1][i] + cos_a * d1[2][i] for i in range(4)])
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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)
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67 d1[0][:], d1[2][:] = ([cos_a * d1[0][i] + sin_a * d1[2][i] for i in range(4)],
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68 [- sin_a * d1[0][i] + cos_a * d1[2][i] for i in range(4)])
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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)
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75 d1[0][:], d1[1][:] = ([cos_a * d1[0][i] - sin_a * d1[1][i] for i in range(4)],
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76 [sin_a * d1[0][i] + cos_a * d1[1][i] for i in range(4)])
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79 @classmethod
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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.]])
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87 @classmethod
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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.]])
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95 @classmethod
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96 def get_rotation_matrix(cls, angle, axis):
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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)
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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.]])
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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.]])
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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.]])
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115 else:
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116 raise Exception
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117