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+"""Conversion functions between RGB and other color systems.
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+
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+This modules provides two functions for each color system ABC:
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+
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+ rgb_to_abc(r, g, b) --> a, b, c
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+ abc_to_rgb(a, b, c) --> r, g, b
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+
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+All inputs and outputs are triples of floats in the range [0.0...1.0]
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+(with the exception of I and Q, which covers a slightly larger range).
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+Inputs outside the valid range may cause exceptions or invalid outputs.
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+
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+Supported color systems:
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+RGB: Red, Green, Blue components
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+YIQ: Luminance, Chrominance (used by composite video signals)
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+HLS: Hue, Luminance, Saturation
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+HSV: Hue, Saturation, Value
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+"""
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+
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+# References:
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+# http://en.wikipedia.org/wiki/YIQ
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+# http://en.wikipedia.org/wiki/HLS_color_space
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+# http://en.wikipedia.org/wiki/HSV_color_space
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+
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+__all__ = ["rgb_to_yiq","yiq_to_rgb","rgb_to_hls","hls_to_rgb",
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+ "rgb_to_hsv","hsv_to_rgb"]
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+
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+# Some floating point constants
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+
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+ONE_THIRD = 1.0/3.0
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+ONE_SIXTH = 1.0/6.0
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+TWO_THIRD = 2.0/3.0
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+
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+# YIQ: used by composite video signals (linear combinations of RGB)
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+# Y: perceived grey level (0.0 == black, 1.0 == white)
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+# I, Q: color components
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+#
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+# There are a great many versions of the constants used in these formulae.
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+# The ones in this library uses constants from the FCC version of NTSC.
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+
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+def rgb_to_yiq(r, g, b):
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+ y = 0.30*r + 0.59*g + 0.11*b
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+ i = 0.74*(r-y) - 0.27*(b-y)
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+ q = 0.48*(r-y) + 0.41*(b-y)
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+ return (y, i, q)
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+
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+def yiq_to_rgb(y, i, q):
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+ # r = y + (0.27*q + 0.41*i) / (0.74*0.41 + 0.27*0.48)
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+ # b = y + (0.74*q - 0.48*i) / (0.74*0.41 + 0.27*0.48)
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+ # g = y - (0.30*(r-y) + 0.11*(b-y)) / 0.59
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+
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+ r = y + 0.9468822170900693*i + 0.6235565819861433*q
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+ g = y - 0.27478764629897834*i - 0.6356910791873801*q
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+ b = y - 1.1085450346420322*i + 1.7090069284064666*q
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+
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+ if r < 0.0:
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+ r = 0.0
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+ if g < 0.0:
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+ g = 0.0
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+ if b < 0.0:
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+ b = 0.0
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+ if r > 1.0:
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+ r = 1.0
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+ if g > 1.0:
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+ g = 1.0
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+ if b > 1.0:
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+ b = 1.0
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+ return (r, g, b)
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+
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+
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+# HLS: Hue, Luminance, Saturation
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+# H: position in the spectrum
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+# L: color lightness
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+# S: color saturation
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+
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+def rgb_to_hls(r, g, b):
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+ maxc = max(r, g, b)
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+ minc = min(r, g, b)
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+ sumc = (maxc+minc)
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+ rangec = (maxc-minc)
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+ l = sumc/2.0
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+ if minc == maxc:
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+ return 0.0, l, 0.0
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+ if l <= 0.5:
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+ s = rangec / sumc
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+ else:
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+ s = rangec / (2.0-maxc-minc) # Not always 2.0-sumc: gh-106498.
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+ rc = (maxc-r) / rangec
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+ gc = (maxc-g) / rangec
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+ bc = (maxc-b) / rangec
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+ if r == maxc:
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+ h = bc-gc
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+ elif g == maxc:
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+ h = 2.0+rc-bc
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+ else:
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+ h = 4.0+gc-rc
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+ h = (h/6.0) % 1.0
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+ return h, l, s
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+
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+def hls_to_rgb(h, l, s):
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+ if s == 0.0:
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+ return l, l, l
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+ if l <= 0.5:
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+ m2 = l * (1.0+s)
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+ else:
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+ m2 = l+s-(l*s)
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+ m1 = 2.0*l - m2
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+ return (_v(m1, m2, h+ONE_THIRD), _v(m1, m2, h), _v(m1, m2, h-ONE_THIRD))
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+
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+def _v(m1, m2, hue):
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+ hue = hue % 1.0
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+ if hue < ONE_SIXTH:
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+ return m1 + (m2-m1)*hue*6.0
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+ if hue < 0.5:
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+ return m2
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+ if hue < TWO_THIRD:
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+ return m1 + (m2-m1)*(TWO_THIRD-hue)*6.0
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+ return m1
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+
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+
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+# HSV: Hue, Saturation, Value
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+# H: position in the spectrum
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+# S: color saturation ("purity")
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+# V: color brightness
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+
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+def rgb_to_hsv(r, g, b):
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+ maxc = max(r, g, b)
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+ minc = min(r, g, b)
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+ rangec = (maxc-minc)
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+ v = maxc
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+ if minc == maxc:
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+ return 0.0, 0.0, v
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+ s = rangec / maxc
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+ rc = (maxc-r) / rangec
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+ gc = (maxc-g) / rangec
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+ bc = (maxc-b) / rangec
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+ if r == maxc:
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+ h = bc-gc
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+ elif g == maxc:
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+ h = 2.0+rc-bc
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+ else:
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+ h = 4.0+gc-rc
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+ h = (h/6.0) % 1.0
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+ return h, s, v
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+
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+def hsv_to_rgb(h, s, v):
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+ if s == 0.0:
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+ return v, v, v
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+ i = int(h*6.0) # XXX assume int() truncates!
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+ f = (h*6.0) - i
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+ p = v*(1.0 - s)
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+ q = v*(1.0 - s*f)
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+ t = v*(1.0 - s*(1.0-f))
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+ i = i%6
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+ if i == 0:
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+ return v, t, p
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+ if i == 1:
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+ return q, v, p
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+ if i == 2:
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+ return p, v, t
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+ if i == 3:
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+ return p, q, v
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+ if i == 4:
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+ return t, p, v
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+ if i == 5:
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+ return v, p, q
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+ # Cannot get here
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