| 1 | n/a | """Conversion functions between RGB and other color systems. |
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| 2 | n/a | |
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| 3 | n/a | This modules provides two functions for each color system ABC: |
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| 4 | n/a | |
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| 5 | n/a | rgb_to_abc(r, g, b) --> a, b, c |
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| 6 | n/a | abc_to_rgb(a, b, c) --> r, g, b |
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| 7 | n/a | |
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| 8 | n/a | All inputs and outputs are triples of floats in the range [0.0...1.0] |
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| 9 | n/a | (with the exception of I and Q, which covers a slightly larger range). |
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| 10 | n/a | Inputs outside the valid range may cause exceptions or invalid outputs. |
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| 11 | n/a | |
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| 12 | n/a | Supported color systems: |
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| 13 | n/a | RGB: Red, Green, Blue components |
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| 14 | n/a | YIQ: Luminance, Chrominance (used by composite video signals) |
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| 15 | n/a | HLS: Hue, Luminance, Saturation |
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| 16 | n/a | HSV: Hue, Saturation, Value |
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| 17 | n/a | """ |
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| 18 | n/a | |
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| 19 | n/a | # References: |
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| 20 | n/a | # http://en.wikipedia.org/wiki/YIQ |
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| 21 | n/a | # http://en.wikipedia.org/wiki/HLS_color_space |
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| 22 | n/a | # http://en.wikipedia.org/wiki/HSV_color_space |
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| 23 | n/a | |
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| 24 | n/a | __all__ = ["rgb_to_yiq","yiq_to_rgb","rgb_to_hls","hls_to_rgb", |
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| 25 | n/a | "rgb_to_hsv","hsv_to_rgb"] |
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| 26 | n/a | |
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| 27 | n/a | # Some floating point constants |
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| 28 | n/a | |
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| 29 | n/a | ONE_THIRD = 1.0/3.0 |
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| 30 | n/a | ONE_SIXTH = 1.0/6.0 |
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| 31 | n/a | TWO_THIRD = 2.0/3.0 |
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| 32 | n/a | |
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| 33 | n/a | # YIQ: used by composite video signals (linear combinations of RGB) |
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| 34 | n/a | # Y: perceived grey level (0.0 == black, 1.0 == white) |
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| 35 | n/a | # I, Q: color components |
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| 36 | n/a | # |
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| 37 | n/a | # There are a great many versions of the constants used in these formulae. |
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| 38 | n/a | # The ones in this library uses constants from the FCC version of NTSC. |
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| 39 | n/a | |
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| 40 | n/a | def rgb_to_yiq(r, g, b): |
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| 41 | n/a | y = 0.30*r + 0.59*g + 0.11*b |
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| 42 | n/a | i = 0.74*(r-y) - 0.27*(b-y) |
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| 43 | n/a | q = 0.48*(r-y) + 0.41*(b-y) |
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| 44 | n/a | return (y, i, q) |
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| 45 | n/a | |
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| 46 | n/a | def yiq_to_rgb(y, i, q): |
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| 47 | n/a | # r = y + (0.27*q + 0.41*i) / (0.74*0.41 + 0.27*0.48) |
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| 48 | n/a | # b = y + (0.74*q - 0.48*i) / (0.74*0.41 + 0.27*0.48) |
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| 49 | n/a | # g = y - (0.30*(r-y) + 0.11*(b-y)) / 0.59 |
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| 50 | n/a | |
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| 51 | n/a | r = y + 0.9468822170900693*i + 0.6235565819861433*q |
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| 52 | n/a | g = y - 0.27478764629897834*i - 0.6356910791873801*q |
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| 53 | n/a | b = y - 1.1085450346420322*i + 1.7090069284064666*q |
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| 54 | n/a | |
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| 55 | n/a | if r < 0.0: |
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| 56 | n/a | r = 0.0 |
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| 57 | n/a | if g < 0.0: |
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| 58 | n/a | g = 0.0 |
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| 59 | n/a | if b < 0.0: |
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| 60 | n/a | b = 0.0 |
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| 61 | n/a | if r > 1.0: |
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| 62 | n/a | r = 1.0 |
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| 63 | n/a | if g > 1.0: |
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| 64 | n/a | g = 1.0 |
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| 65 | n/a | if b > 1.0: |
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| 66 | n/a | b = 1.0 |
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| 67 | n/a | return (r, g, b) |
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| 68 | n/a | |
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| 69 | n/a | |
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| 70 | n/a | # HLS: Hue, Luminance, Saturation |
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| 71 | n/a | # H: position in the spectrum |
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| 72 | n/a | # L: color lightness |
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| 73 | n/a | # S: color saturation |
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| 74 | n/a | |
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| 75 | n/a | def rgb_to_hls(r, g, b): |
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| 76 | n/a | maxc = max(r, g, b) |
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| 77 | n/a | minc = min(r, g, b) |
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| 78 | n/a | # XXX Can optimize (maxc+minc) and (maxc-minc) |
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| 79 | n/a | l = (minc+maxc)/2.0 |
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| 80 | n/a | if minc == maxc: |
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| 81 | n/a | return 0.0, l, 0.0 |
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| 82 | n/a | if l <= 0.5: |
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| 83 | n/a | s = (maxc-minc) / (maxc+minc) |
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| 84 | n/a | else: |
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| 85 | n/a | s = (maxc-minc) / (2.0-maxc-minc) |
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| 86 | n/a | rc = (maxc-r) / (maxc-minc) |
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| 87 | n/a | gc = (maxc-g) / (maxc-minc) |
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| 88 | n/a | bc = (maxc-b) / (maxc-minc) |
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| 89 | n/a | if r == maxc: |
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| 90 | n/a | h = bc-gc |
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| 91 | n/a | elif g == maxc: |
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| 92 | n/a | h = 2.0+rc-bc |
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| 93 | n/a | else: |
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| 94 | n/a | h = 4.0+gc-rc |
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| 95 | n/a | h = (h/6.0) % 1.0 |
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| 96 | n/a | return h, l, s |
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| 97 | n/a | |
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| 98 | n/a | def hls_to_rgb(h, l, s): |
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| 99 | n/a | if s == 0.0: |
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| 100 | n/a | return l, l, l |
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| 101 | n/a | if l <= 0.5: |
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| 102 | n/a | m2 = l * (1.0+s) |
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| 103 | n/a | else: |
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| 104 | n/a | m2 = l+s-(l*s) |
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| 105 | n/a | m1 = 2.0*l - m2 |
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| 106 | n/a | return (_v(m1, m2, h+ONE_THIRD), _v(m1, m2, h), _v(m1, m2, h-ONE_THIRD)) |
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| 107 | n/a | |
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| 108 | n/a | def _v(m1, m2, hue): |
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| 109 | n/a | hue = hue % 1.0 |
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| 110 | n/a | if hue < ONE_SIXTH: |
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| 111 | n/a | return m1 + (m2-m1)*hue*6.0 |
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| 112 | n/a | if hue < 0.5: |
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| 113 | n/a | return m2 |
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| 114 | n/a | if hue < TWO_THIRD: |
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| 115 | n/a | return m1 + (m2-m1)*(TWO_THIRD-hue)*6.0 |
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| 116 | n/a | return m1 |
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| 117 | n/a | |
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| 118 | n/a | |
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| 119 | n/a | # HSV: Hue, Saturation, Value |
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| 120 | n/a | # H: position in the spectrum |
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| 121 | n/a | # S: color saturation ("purity") |
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| 122 | n/a | # V: color brightness |
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| 123 | n/a | |
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| 124 | n/a | def rgb_to_hsv(r, g, b): |
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| 125 | n/a | maxc = max(r, g, b) |
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| 126 | n/a | minc = min(r, g, b) |
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| 127 | n/a | v = maxc |
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| 128 | n/a | if minc == maxc: |
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| 129 | n/a | return 0.0, 0.0, v |
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| 130 | n/a | s = (maxc-minc) / maxc |
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| 131 | n/a | rc = (maxc-r) / (maxc-minc) |
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| 132 | n/a | gc = (maxc-g) / (maxc-minc) |
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| 133 | n/a | bc = (maxc-b) / (maxc-minc) |
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| 134 | n/a | if r == maxc: |
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| 135 | n/a | h = bc-gc |
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| 136 | n/a | elif g == maxc: |
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| 137 | n/a | h = 2.0+rc-bc |
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| 138 | n/a | else: |
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| 139 | n/a | h = 4.0+gc-rc |
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| 140 | n/a | h = (h/6.0) % 1.0 |
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| 141 | n/a | return h, s, v |
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| 142 | n/a | |
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| 143 | n/a | def hsv_to_rgb(h, s, v): |
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| 144 | n/a | if s == 0.0: |
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| 145 | n/a | return v, v, v |
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| 146 | n/a | i = int(h*6.0) # XXX assume int() truncates! |
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| 147 | n/a | f = (h*6.0) - i |
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| 148 | n/a | p = v*(1.0 - s) |
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| 149 | n/a | q = v*(1.0 - s*f) |
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| 150 | n/a | t = v*(1.0 - s*(1.0-f)) |
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| 151 | n/a | i = i%6 |
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| 152 | n/a | if i == 0: |
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| 153 | n/a | return v, t, p |
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| 154 | n/a | if i == 1: |
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| 155 | n/a | return q, v, p |
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| 156 | n/a | if i == 2: |
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| 157 | n/a | return p, v, t |
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| 158 | n/a | if i == 3: |
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| 159 | n/a | return p, q, v |
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| 160 | n/a | if i == 4: |
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| 161 | n/a | return t, p, v |
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| 162 | n/a | if i == 5: |
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| 163 | n/a | return v, p, q |
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| 164 | n/a | # Cannot get here |
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