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import os
import math
import numpy as np
# reference: https://www.kennethmoreland.com/color-maps/ColorMapsExpanded.pdf
# RGB to XYZ matrix
# 0.4124 | 0.2126 | 0.0193
# 0.3576 | 0.7152 | 0.1192
# 0.1805 | 0.0722 | 0.9505
# Inverse
# 3.24063 | -0.968931 | 0.0557101
# -1.53721 | 1.87576 | -0.204021
# -0.498629 | 0.0415175 | 1.057
def fRGB(x):
if x > 0.00313080495356037152: val = math.pow(x, 1./2.4)*1.055 - 0.055
else: val = x*12.92
return val*255.
def fRGBinv(x):
if x > 0.04045: val = math.pow((x + 0.055)/1.055, 2.4)
else: val = (x+0.)/12.92
return val*100
def lRGB2sRGB(r, g, b):
#def rgb_lin(x):
# if x > 0.00313080495356037152: val = math.pow(x, 1./2.4)*1.055 - 0.055
# else: val = x*12.92
# return val*255.
#return rgb_lin((r+0.)/100.), rgb_lin((g+0.)/100.), rgb_lin((b+0.)/100.)
return fRGB((r+0.)/100.), fRGB((g+0.)/100.), fRGB((b+0.)/100.)
def sRGB2lRGB(r, g, b):
#def srgb_lrgb(x):
# if x > 0.04045: val = math.pow((x + 0.055)/1.055, 2.4)
# else: val = (x+0.)/12.92
# return val*100
#return srgb_lrgb((r+0.)/255.), srgb_lrgb((g+0.)/255.), srgb_lrgb((b+0.)/255.)
return fRGBinv((r+0.)/255.), fRGBinv((g+0.)/255.), fRGBinv((b+0.)/255.)
def rgb2xyz(r, g, b):
sr, sg, sb = sRGB2lRGB(r, g, b)
x = 0.4124*sr + 0.3576*sg + 0.1805*sb
y = 0.2126*sr + 0.7152*sg + 0.0722*sb
z = 0.0193*sr + 0.1192*sg + 0.9505*sb
return x, y, z
def xyz2rgb(x, y, z):
r = 3.24063*x - 1.53721*y - 0.498629*z
g = -0.968931*x + 1.87576*y + 0.0415175*z
b = 0.0557101*x - 0.204021*y + 1.057*z
#m = max(max(r, g), b)
#if m > 1.:
# r = (r+0.)/(m+0.)
# g = (g+0.)/(m+0.)
# b = (b+0.)/(m+0.)
return lRGB2sRGB(r, g, b)
def F(v):
if v > 0.008856: return math.pow(v, 1./3.)
else: return 7.787*v + 16./116.
def Finv(v):
if v > 0.20689270648: return math.pow(v, 3)
else: return (v - 16./116.)/7.787
def xyz2Lab(x, y, z, refW):
xn = refW[0]
yn = refW[1]
zn = refW[2]
#xn, yn, zn = [95.047, 100.0, 108.883]
#def F(v):
# if v > 0.008856: return math.pow(v, 1./3.)
# else: return 7.787*v + 16./116.
L = 116*(F((y+0.)/(yn +0.)) - 16./116.)
a = 500*(F((x+0.)/(xn+0.)) - F((y+0.)/(yn+0.)))
b = 200*(F((y+0.)/(yn+0.)) - F((z+0.)/(zn+0.)))
return L, a, b
def Lab2xyz(L, a, b, refW):
xn = refW[0]
yn = refW[1]
zn = refW[2]
#xn, yn, zn = [95.047, 100.0, 108.883]
#def Finv(v):
# if v > 0.20689270648: return math.pow(v, 3)
# else: return (v - 16./116.)/7.787
x = Finv((a+0.)/500. + (L + 16.)/116.)*xn
y = Finv((L + 16.)/116.)*yn
z = Finv((L + 16.)/116. - (b+0.)/200.)*zn
return x, y, z
def Lab2Msh(L, a, b):
M = math.sqrt(math.pow(L,2) + math.pow(a,2) + math.pow(b,2))
s = math.acos((L+0.)/(M+0.))
h = math.atan2(b,a)
return M, s, h
def Msh2Lab(M, s, h):
L = M*math.cos(s)
a = M*math.sin(s)*math.cos(h)
b = M*math.sin(s)*math.sin(h)
return L, a, b
def rgb2Msh(r, g, b, refW):
x, y, z = rgb2xyz(r, g, b)
xr, yr, zr = rgb2xyz(refW[0], refW[1], refW[2])
L, a, b = xyz2Lab(x, y, z, [xr, yr, zr])
return Lab2Msh(L, a, b)
def Msh2rgb(M, s, h, refW):
xr, yr, zr = rgb2xyz(refW[0], refW[1], refW[2])
L, a, b = Msh2Lab(M, s, h)
x, y, z = Lab2xyz(L, a, b, [xr, yr, zr])
return xyz2rgb(x, y, z)
def AdjustHue(Ms, ss, hs, Mu):
#print('Adjusting Hue')
if Ms >= Mu: return hs
h = ss*math.sqrt(math.pow(Mu, 2.) - math.pow(Ms, 2.))/(Ms*math.sin(ss)+0.)
if hs > -math.pi/3.: return hs + h
else: return hs - h
def radDiff(a1, a2):
diff = abs(a1 - a2)
if diff > math.pi: return abs(diff - 2*math.pi)
else: return diff
#('red: ', (117.34353643868656, 1.099939672641069, 0.698178814103516))
#('blue: ', (137.64998152940237, 1.333915268336423, -0.9374394027523394))
def DivergingColor(col1, col2, white, frac):
M1, s1, h1 = rgb2Msh(col1[0], col1[1], col1[2], white)
M2, s2, h2 = rgb2Msh(col2[0], col2[1], col2[2], white)
#if s1 > 0.05 and s2 > 0.05 and radDiff(h1,h2) > math.pi/3.:
if s1 > 0.05 and s2 > 0.05 and abs(h1 - h2) > math.pi/3.:
Mmid = max(max(M1,M2),88.)
if frac < .5:
M2 = Mmid
s2 = 0.
h2 = 0.
frac = 2*frac
else:
M1 = Mmid
s1 = 0.
h1 = 0.
frac = 2*frac - 1
if s1 < 0.05 and s2 > 0.05: h1 = AdjustHue(M2, s2, h2, M1)
elif s2 < 0.05 and s1 > 0.05: h2 = AdjustHue(M1, s1, h1, M2)
M = (1 - frac)*M1 + frac*M2
s = (1 - frac)*s1 + frac*s2
h = (1 - frac)*h1 + frac*h2
#print('temp', M, s, h, h1, h2, frac)
return Msh2rgb(M, s, h, white)
if __name__ == '__main__':
Msh = [83.9912098 , 0.54009147, -0.18776355]
Msh_np = np.array(Msh)
#red = [243.59789395465015, 146.5213165050506, 192.51678151291404]
red = [59, 76, 192]
blue = [180, 4, 38]
white = [1, 1, 1]
frac = 0.75
print('my val: ', DivergingColor(blue, red, white, frac))
print(xyz2rgb(95.047, 100.0, 108.883))
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