1 | """Conversion functions between RGB and other color systems. |
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2 | |
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3 | This modules provides two functions for each color system ABC: |
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4 | |
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5 | rgb_to_abc(r, g, b) --> a, b, c |
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6 | abc_to_rgb(a, b, c) --> r, g, b |
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7 | |
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8 | All inputs and outputs are triples of floats in the range [0.0...1.0] |
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9 | (with the exception of I and Q, which covers a slightly larger range). |
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10 | Inputs outside the valid range may cause exceptions or invalid outputs. |
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11 | |
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12 | Supported color systems: |
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13 | RGB: Red, Green, Blue components |
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14 | YIQ: Luminance, Chrominance (used by composite video signals) |
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15 | HLS: Hue, Luminance, Saturation |
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16 | HSV: Hue, Saturation, Value |
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17 | """ |
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18 | |
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19 | # References: |
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20 | # http://en.wikipedia.org/wiki/YIQ |
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21 | # http://en.wikipedia.org/wiki/HLS_color_space |
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22 | # http://en.wikipedia.org/wiki/HSV_color_space |
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23 | |
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24 | __all__ = ["rgb_to_yiq","yiq_to_rgb","rgb_to_hls","hls_to_rgb", |
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25 | "rgb_to_hsv","hsv_to_rgb"] |
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26 | |
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27 | # Some floating point constants |
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28 | |
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29 | ONE_THIRD = 1.0/3.0 |
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30 | ONE_SIXTH = 1.0/6.0 |
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31 | TWO_THIRD = 2.0/3.0 |
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32 | |
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33 | # YIQ: used by composite video signals (linear combinations of RGB) |
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34 | # Y: perceived grey level (0.0 == black, 1.0 == white) |
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35 | # I, Q: color components |
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36 | |
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37 | def rgb_to_yiq(r, g, b): |
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38 | y = 0.30*r + 0.59*g + 0.11*b |
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39 | i = 0.60*r - 0.28*g - 0.32*b |
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40 | q = 0.21*r - 0.52*g + 0.31*b |
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41 | return (y, i, q) |
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42 | |
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43 | def yiq_to_rgb(y, i, q): |
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44 | r = y + 0.948262*i + 0.624013*q |
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45 | g = y - 0.276066*i - 0.639810*q |
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46 | b = y - 1.105450*i + 1.729860*q |
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47 | if r < 0.0: |
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48 | r = 0.0 |
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49 | if g < 0.0: |
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50 | g = 0.0 |
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51 | if b < 0.0: |
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52 | b = 0.0 |
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53 | if r > 1.0: |
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54 | r = 1.0 |
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55 | if g > 1.0: |
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56 | g = 1.0 |
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57 | if b > 1.0: |
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58 | b = 1.0 |
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59 | return (r, g, b) |
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60 | |
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61 | |
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62 | # HLS: Hue, Luminance, Saturation |
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63 | # H: position in the spectrum |
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64 | # L: color lightness |
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65 | # S: color saturation |
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66 | |
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67 | def rgb_to_hls(r, g, b): |
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68 | maxc = max(r, g, b) |
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69 | minc = min(r, g, b) |
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70 | # XXX Can optimize (maxc+minc) and (maxc-minc) |
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71 | l = (minc+maxc)/2.0 |
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72 | if minc == maxc: |
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73 | return 0.0, l, 0.0 |
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74 | if l <= 0.5: |
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75 | s = (maxc-minc) / (maxc+minc) |
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76 | else: |
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77 | s = (maxc-minc) / (2.0-maxc-minc) |
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78 | rc = (maxc-r) / (maxc-minc) |
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79 | gc = (maxc-g) / (maxc-minc) |
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80 | bc = (maxc-b) / (maxc-minc) |
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81 | if r == maxc: |
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82 | h = bc-gc |
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83 | elif g == maxc: |
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84 | h = 2.0+rc-bc |
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85 | else: |
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86 | h = 4.0+gc-rc |
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87 | h = (h/6.0) % 1.0 |
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88 | return h, l, s |
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89 | |
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90 | def hls_to_rgb(h, l, s): |
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91 | if s == 0.0: |
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92 | return l, l, l |
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93 | if l <= 0.5: |
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94 | m2 = l * (1.0+s) |
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95 | else: |
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96 | m2 = l+s-(l*s) |
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97 | m1 = 2.0*l - m2 |
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98 | return (_v(m1, m2, h+ONE_THIRD), _v(m1, m2, h), _v(m1, m2, h-ONE_THIRD)) |
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99 | |
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100 | def _v(m1, m2, hue): |
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101 | hue = hue % 1.0 |
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102 | if hue < ONE_SIXTH: |
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103 | return m1 + (m2-m1)*hue*6.0 |
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104 | if hue < 0.5: |
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105 | return m2 |
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106 | if hue < TWO_THIRD: |
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107 | return m1 + (m2-m1)*(TWO_THIRD-hue)*6.0 |
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108 | return m1 |
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109 | |
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110 | |
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111 | # HSV: Hue, Saturation, Value |
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112 | # H: position in the spectrum |
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113 | # S: color saturation ("purity") |
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114 | # V: color brightness |
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115 | |
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116 | def rgb_to_hsv(r, g, b): |
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117 | maxc = max(r, g, b) |
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118 | minc = min(r, g, b) |
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119 | v = maxc |
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120 | if minc == maxc: |
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121 | return 0.0, 0.0, v |
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122 | s = (maxc-minc) / maxc |
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123 | rc = (maxc-r) / (maxc-minc) |
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124 | gc = (maxc-g) / (maxc-minc) |
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125 | bc = (maxc-b) / (maxc-minc) |
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126 | if r == maxc: |
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127 | h = bc-gc |
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128 | elif g == maxc: |
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129 | h = 2.0+rc-bc |
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130 | else: |
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131 | h = 4.0+gc-rc |
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132 | h = (h/6.0) % 1.0 |
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133 | return h, s, v |
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134 | |
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135 | def hsv_to_rgb(h, s, v): |
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136 | if s == 0.0: |
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137 | return v, v, v |
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138 | i = int(h*6.0) # XXX assume int() truncates! |
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139 | f = (h*6.0) - i |
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140 | p = v*(1.0 - s) |
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141 | q = v*(1.0 - s*f) |
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142 | t = v*(1.0 - s*(1.0-f)) |
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143 | i = i%6 |
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144 | if i == 0: |
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145 | return v, t, p |
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146 | if i == 1: |
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147 | return q, v, p |
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148 | if i == 2: |
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149 | return p, v, t |
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150 | if i == 3: |
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151 | return p, q, v |
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152 | if i == 4: |
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153 | return t, p, v |
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154 | if i == 5: |
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155 | return v, p, q |
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156 | # Cannot get here |
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