colosys.py from the cpython standard lib

Author: Blanen

Lib/colorsys.py

@@ -1,10 +1,160 @@
+"""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
+"""
 
-# TODO: implement standard library here
+# 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)
+    # XXX Can optimize (maxc+minc) and (maxc-minc)
+    l = (minc+maxc)/2.0
+    if minc == maxc:
+        return 0.0, l, 0.0
+    if l <= 0.5:
+        s = (maxc-minc) / (maxc+minc)
+    else:
+        s = (maxc-minc) / (2.0-maxc-minc)
+    rc = (maxc-r) / (maxc-minc)
+    gc = (maxc-g) / (maxc-minc)
+    bc = (maxc-b) / (maxc-minc)
+    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)
+    v = maxc
+    if minc == maxc:
+        return 0.0, 0.0, v
+    s = (maxc-minc) / maxc
+    rc = (maxc-r) / (maxc-minc)
+    gc = (maxc-g) / (maxc-minc)
+    bc = (maxc-b) / (maxc-minc)
+    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