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#!/usr/bin/env python3
# Copyright © 2014 Mattias Andrée (maandree@member.fsf.org)
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU Affero General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Affero General Public License for more details.
#
# You should have received a copy of the GNU Affero General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
def linear_to_standard(*colour):
'''
Convert [0, 1] linear RGB to [0, 1] sRGB
@param r:float The red component
@param g:float The green component
@param b:float The blue component
@return :[float, float, float] The red, green and blue components
'''
return [12.92 * c if c <= 0.0031308 else (1 + 0.055) * c ** (1 / 2.4) - 0.055 for c in colour]
def standard_to_linear(*colour):
'''
Convert [0, 1] sRGB to linear [0, 1] RGB
@param r:float The red component
@param g:float The green component
@param b:float The blue component
@return :[float, float, float] The red, green and blue components
'''
return [c / 12.92 if c <= 0.04045 else ((c + 0.055) / (1 + 0.055)) ** 2.4 for c in colour]
def ciexyy_to_ciexyz(x, y, Y):
'''
Convert CIE xyY to CIE XYZ
@param x:float The x parameter
@param y:float The y parameter
@param Y:float The Y parameter
@return :[float, float, float] The X, Y and Z parameters
'''
return [Y * x / y, Y, Y * (1 - x - y) / y]
def ciexyz_to_ciexyy(X, Y, Z):
'''
Convert CIE XYZ to CIE xyY
@param X:float The X parameter
@param Y:float The Y parameter
@param Z:float The Z parameter
@return :[float, float, float] The x, y and Y parameters
'''
p = -Y / X
q = 1 + Y / X
y = 1 / (p / 2 + (p ** 2 / 4 - q) ** 0.5)
x = X * y / Y
return [x, y, Y]
def ciexyz_to_linear(X, Y, Z):
'''
Convert CIE XYZ to [0, 1] linear RGB
@param X:float The X parameter
@param Y:float The Y parameter
@param Z:float The Z parameter
@return :[float, float, float] The red, green and blue components
'''
r = 3.2406 * X - 1.5372 * Y - 0.4986 * Z
g = -0.9689 * X + 1.8758 * Y + 0.0415 * Z
b = 0.0557 * X - 0.2040 * Y + 1.0570 * Z
return [r, g, b]
def linear_to_ciexyz(r, g, b):
'''
Convert [0, 1] linear RGB to CIE XYZ
@param r:float The red component
@param g:float The green component
@param b:float The blue component
@return :[float, float, float] The X, Y and Z parameters
'''
X = 0.4124 * r + 0.3576 * g + 0.1805 * b
Y = 0.2126 * r + 0.7152 * g + 0.0722 * b
Z = 0.0193 * r + 0.1192 * g + 1.9502 * b
return [X, Y, Z]
def srgb_to_ciexyy(r, g, b):
'''
Convert [0, 1] sRGB to CIE xyY
@param r:float The red component
@param g:float The green component
@param b:float The blue component
@return :[float, float, float] The x, y and Y parameters
'''
(r, g, b) = standard_to_linear(r, g, b)
(X, Y, Z) = linear_to_ciexyz(r, g, b)
return ciexyz_to_ciexyy(X, Y, Z)
def ciexyy_to_srgb(x, y, Y):
'''
Convert CIE xyY to [0, 1] sRGB
@param x:float The x parameter
@param y:float The y parameter
@param Y:float The Y parameter
@return :[float, float, float] The red, green and blue components
'''
(X, Y, Z) = ciexyy_to_ciexyz(x, y, Y)
(r, g, b) = ciexyz_to_linear(X, Y, Z)
return linear_to_standard(r, g, b)
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