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