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color pallette picker, improved mixer support
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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 | ||
""" | ||
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# References: | ||
# http://en.wikipedia.org/wiki/YIQ | ||
# http://en.wikipedia.org/wiki/HLS_color_space | ||
# http://en.wikipedia.org/wiki/HSV_color_space | ||
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__all__ = ["rgb_to_yiq","yiq_to_rgb","rgb_to_hls","hls_to_rgb", | ||
"rgb_to_hsv","hsv_to_rgb"] | ||
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# Some floating point constants | ||
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ONE_THIRD = 1.0/3.0 | ||
ONE_SIXTH = 1.0/6.0 | ||
TWO_THIRD = 2.0/3.0 | ||
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# 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. | ||
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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) | ||
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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 | ||
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r = y + 0.9468822170900693*i + 0.6235565819861433*q | ||
g = y - 0.27478764629897834*i - 0.6356910791873801*q | ||
b = y - 1.1085450346420322*i + 1.7090069284064666*q | ||
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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) | ||
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# HLS: Hue, Luminance, Saturation | ||
# H: position in the spectrum | ||
# L: color lightness | ||
# S: color saturation | ||
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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-sumc) | ||
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 | ||
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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)) | ||
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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 | ||
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# HSV: Hue, Saturation, Value | ||
# H: position in the spectrum | ||
# S: color saturation ("purity") | ||
# V: color brightness | ||
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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 | ||
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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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