💿🐜 Antkeeper source code
https://antkeeper.com
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157 lines
5.0 KiB
157 lines
5.0 KiB
/*
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* Copyright (C) 2023 Christopher J. Howard
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*
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* This file is part of Antkeeper source code.
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*
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* Antkeeper source code is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* Antkeeper source code is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with Antkeeper source code. If not, see <http://www.gnu.org/licenses/>.
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*/
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#ifndef ANTKEEPER_COLOR_RGB_HPP
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#define ANTKEEPER_COLOR_RGB_HPP
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#include "color/cat.hpp"
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#include "math/matrix.hpp"
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#include "math/vector.hpp"
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namespace color {
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/// RGB color spaces.
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namespace rgb {
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/**
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* Constructs a matrix which transforms an RGB color into a CIE XYZ color.
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*
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* @param r CIE xy chromaticity coordinates of the red primary.
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* @param g CIE xy chromaticity coordinates of the green primary.
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* @param b CIE xy chromaticity coordinates of the blue primary.
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* @param w CIE xy chromaticity coordinates of the white point.
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*
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* @return Matrix which transforms an RGB color into a CIE XYZ color.
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*
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* @see https://www.ryanjuckett.com/rgb-color-space-conversion/
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* @see https://mina86.com/2019/srgb-xyz-matrix/
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*/
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template <class T>
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constexpr math::matrix<T, 3, 3> to_xyz(const math::vector2<T>& r, const math::vector2<T>& g, const math::vector2<T>& b, const math::vector2<T>& w)
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{
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const math::matrix<T, 3, 3> m =
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{
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r[0], r[1], T{1} - (r[0] + r[1]),
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g[0], g[1], T{1} - (g[0] + g[1]),
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b[0], b[1], T{1} - (b[0] + b[1])
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};
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const math::vector3<T> scale = math::inverse(m) * math::vector3<T>{w[0] / w[1], T{1}, (T{1} - (w[0] + w[1])) / w[1]};
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return math::matrix<T, 3, 3>
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{
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m[0][0] * scale[0], m[0][1] * scale[0], m[0][2] * scale[0],
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m[1][0] * scale[1], m[1][1] * scale[1], m[1][2] * scale[1],
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m[2][0] * scale[2], m[2][1] * scale[2], m[2][2] * scale[2],
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};
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}
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/**
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* RGB color space.
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*/
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template <class T>
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struct color_space
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{
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/// Transfer function function pointer type.
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typedef math::vector3<T> (*transfer_function_type)(const math::vector3<T>&);
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/// CIE xy chromaticity coordinates of the red primary.
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const math::vector2<T> r;
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/// CIE xy chromaticity coordinates of the green primary.
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const math::vector2<T> g;
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/// CIE xy chromaticity coordinates of the blue primary.
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const math::vector2<T> b;
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/// CIE xy chromaticity coordinates of the white point.
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const math::vector2<T> w;
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/// Function pointer to the electro-optical transfer function.
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const transfer_function_type eotf;
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/// Function pointer to the inverse electro-optical transfer function.
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const transfer_function_type inverse_eotf;
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/// Matrix which transforms an RGB color to a CIE XYZ color.
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const math::matrix3x3<T> to_xyz;
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/// Matrix which transforms a CIE XYZ color to an RGB color.
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const math::matrix3x3<T> from_xyz;
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/// Vector which gives the luminance of an RGB color via dot product.
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const math::vector3<T> to_y;
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/**
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* Constructs an RGB color space.
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*
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* @param r CIE xy chromaticity coordinates of the red primary.
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* @param g CIE xy chromaticity coordinates of the green primary.
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* @param b CIE xy chromaticity coordinates of the blue primary.
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* @param w CIE xy chromaticity coordinates of the white point.
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*/
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constexpr color_space(const math::vector2<T>& r, const math::vector2<T>& g, const math::vector2<T>& b, const math::vector2<T>& w, transfer_function_type eotf, transfer_function_type inverse_eotf);
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/**
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* Measures the luminance of a linear RGB color.
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*
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* @param x Linear RGB color.
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* @return return Luminance of @p x.
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*/
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constexpr T luminance(const math::vector3<T>& x) const;
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};
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template <class T>
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constexpr color_space<T>::color_space(const math::vector2<T>& r, const math::vector2<T>& g, const math::vector2<T>& b, const math::vector2<T>& w, transfer_function_type eotf, transfer_function_type inverse_eotf):
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r(r),
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g(g),
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b(b),
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w(w),
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eotf(eotf),
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inverse_eotf(inverse_eotf),
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to_xyz(color::rgb::to_xyz<T>(r, g, b, w)),
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from_xyz(math::inverse(to_xyz)),
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to_y{to_xyz[0][1], to_xyz[1][1], to_xyz[2][1]}
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{}
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template <class T>
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constexpr T color_space<T>::luminance(const math::vector3<T>& x) const
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{
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return math::dot(x, to_y);
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}
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/**
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* Constructs a matrix which transforms a color from one RGB color space to another RGB color space.
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*
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* @param s0 Source color space.
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* @param s1 Destination color space.
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* @param cone_response Chromatic adaptation transform cone response matrix.
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*
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* @return Color space transformation matrix.
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*/
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template <class T>
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constexpr math::matrix3x3<T> to_rgb(const color_space<T>& s0, const color_space<T>& s1, const math::matrix3x3<T>& cone_response = color::cat::bradford<T>)
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{
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return s1.from_xyz * color::cat::matrix(s0.w, s1.w, cone_response) * s0.to_xyz;
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}
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} // namespace rgb
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} // namespace color
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#endif // ANTKEEPER_COLOR_RGB_HPP
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