/* * Copyright (C) 2016 The Android Open Source Project * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ #include using namespace std::placeholders; namespace android { static constexpr float linearResponse(float v) { return v; } static constexpr float rcpResponse(float x, const ColorSpace::TransferParameters& p) { return x >= p.d * p.c ? (std::pow(x, 1.0f / p.g) - p.b) / p.a : x / p.c; } static constexpr float response(float x, const ColorSpace::TransferParameters& p) { return x >= p.d ? std::pow(p.a * x + p.b, p.g) : p.c * x; } static constexpr float rcpFullResponse(float x, const ColorSpace::TransferParameters& p) { return x >= p.d * p.c ? (std::pow(x - p.e, 1.0f / p.g) - p.b) / p.a : (x - p.f) / p.c; } static constexpr float fullResponse(float x, const ColorSpace::TransferParameters& p) { return x >= p.d ? std::pow(p.a * x + p.b, p.g) + p.e : p.c * x + p.f; } static float absRcpResponse(float x, float g,float a, float b, float c, float d) { float xx = std::abs(x); return std::copysign(xx >= d * c ? (std::pow(xx, 1.0f / g) - b) / a : xx / c, x); } static float absResponse(float x, float g, float a, float b, float c, float d) { float xx = std::abs(x); return std::copysign(xx >= d ? std::pow(a * xx + b, g) : c * xx, x); } static float safePow(float x, float e) { return powf(x < 0.0f ? 0.0f : x, e); } static ColorSpace::transfer_function toOETF(const ColorSpace::TransferParameters& parameters) { if (parameters.e == 0.0f && parameters.f == 0.0f) { return std::bind(rcpResponse, _1, parameters); } return std::bind(rcpFullResponse, _1, parameters); } static ColorSpace::transfer_function toEOTF( const ColorSpace::TransferParameters& parameters) { if (parameters.e == 0.0f && parameters.f == 0.0f) { return std::bind(response, _1, parameters); } return std::bind(fullResponse, _1, parameters); } static ColorSpace::transfer_function toOETF(float gamma) { if (gamma == 1.0f) { return linearResponse; } return std::bind(safePow, _1, 1.0f / gamma); } static ColorSpace::transfer_function toEOTF(float gamma) { if (gamma == 1.0f) { return linearResponse; } return std::bind(safePow, _1, gamma); } static constexpr std::array computePrimaries(const mat3& rgbToXYZ) { float3 r(rgbToXYZ * float3{1, 0, 0}); float3 g(rgbToXYZ * float3{0, 1, 0}); float3 b(rgbToXYZ * float3{0, 0, 1}); return {{r.xy / dot(r, float3{1}), g.xy / dot(g, float3{1}), b.xy / dot(b, float3{1})}}; } static constexpr float2 computeWhitePoint(const mat3& rgbToXYZ) { float3 w(rgbToXYZ * float3{1}); return w.xy / dot(w, float3{1}); } ColorSpace::ColorSpace( const std::string& name, const mat3& rgbToXYZ, transfer_function OETF, transfer_function EOTF, clamping_function clamper) noexcept : mName(name) , mRGBtoXYZ(rgbToXYZ) , mXYZtoRGB(inverse(rgbToXYZ)) , mOETF(std::move(OETF)) , mEOTF(std::move(EOTF)) , mClamper(std::move(clamper)) , mPrimaries(computePrimaries(rgbToXYZ)) , mWhitePoint(computeWhitePoint(rgbToXYZ)) { } ColorSpace::ColorSpace( const std::string& name, const mat3& rgbToXYZ, const TransferParameters parameters, clamping_function clamper) noexcept : mName(name) , mRGBtoXYZ(rgbToXYZ) , mXYZtoRGB(inverse(rgbToXYZ)) , mParameters(parameters) , mOETF(toOETF(mParameters)) , mEOTF(toEOTF(mParameters)) , mClamper(std::move(clamper)) , mPrimaries(computePrimaries(rgbToXYZ)) , mWhitePoint(computeWhitePoint(rgbToXYZ)) { } ColorSpace::ColorSpace( const std::string& name, const mat3& rgbToXYZ, float gamma, clamping_function clamper) noexcept : mName(name) , mRGBtoXYZ(rgbToXYZ) , mXYZtoRGB(inverse(rgbToXYZ)) , mParameters({gamma, 1.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f}) , mOETF(toOETF(gamma)) , mEOTF(toEOTF(gamma)) , mClamper(std::move(clamper)) , mPrimaries(computePrimaries(rgbToXYZ)) , mWhitePoint(computeWhitePoint(rgbToXYZ)) { } ColorSpace::ColorSpace( const std::string& name, const std::array& primaries, const float2& whitePoint, transfer_function OETF, transfer_function EOTF, clamping_function clamper) noexcept : mName(name) , mRGBtoXYZ(computeXYZMatrix(primaries, whitePoint)) , mXYZtoRGB(inverse(mRGBtoXYZ)) , mOETF(std::move(OETF)) , mEOTF(std::move(EOTF)) , mClamper(std::move(clamper)) , mPrimaries(primaries) , mWhitePoint(whitePoint) { } ColorSpace::ColorSpace( const std::string& name, const std::array& primaries, const float2& whitePoint, const TransferParameters parameters, clamping_function clamper) noexcept : mName(name) , mRGBtoXYZ(computeXYZMatrix(primaries, whitePoint)) , mXYZtoRGB(inverse(mRGBtoXYZ)) , mParameters(parameters) , mOETF(toOETF(mParameters)) , mEOTF(toEOTF(mParameters)) , mClamper(std::move(clamper)) , mPrimaries(primaries) , mWhitePoint(whitePoint) { } ColorSpace::ColorSpace( const std::string& name, const std::array& primaries, const float2& whitePoint, float gamma, clamping_function clamper) noexcept : mName(name) , mRGBtoXYZ(computeXYZMatrix(primaries, whitePoint)) , mXYZtoRGB(inverse(mRGBtoXYZ)) , mParameters({gamma, 1.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f}) , mOETF(toOETF(gamma)) , mEOTF(toEOTF(gamma)) , mClamper(std::move(clamper)) , mPrimaries(primaries) , mWhitePoint(whitePoint) { } constexpr mat3 ColorSpace::computeXYZMatrix( const std::array& primaries, const float2& whitePoint) { const float2& R = primaries[0]; const float2& G = primaries[1]; const float2& B = primaries[2]; const float2& W = whitePoint; float oneRxRy = (1 - R.x) / R.y; float oneGxGy = (1 - G.x) / G.y; float oneBxBy = (1 - B.x) / B.y; float oneWxWy = (1 - W.x) / W.y; float RxRy = R.x / R.y; float GxGy = G.x / G.y; float BxBy = B.x / B.y; float WxWy = W.x / W.y; float BY = ((oneWxWy - oneRxRy) * (GxGy - RxRy) - (WxWy - RxRy) * (oneGxGy - oneRxRy)) / ((oneBxBy - oneRxRy) * (GxGy - RxRy) - (BxBy - RxRy) * (oneGxGy - oneRxRy)); float GY = (WxWy - RxRy - BY * (BxBy - RxRy)) / (GxGy - RxRy); float RY = 1 - GY - BY; float RYRy = RY / R.y; float GYGy = GY / G.y; float BYBy = BY / B.y; return { float3{RYRy * R.x, RY, RYRy * (1 - R.x - R.y)}, float3{GYGy * G.x, GY, GYGy * (1 - G.x - G.y)}, float3{BYBy * B.x, BY, BYBy * (1 - B.x - B.y)} }; } const ColorSpace ColorSpace::sRGB() { return { "sRGB IEC61966-2.1", {{float2{0.640f, 0.330f}, {0.300f, 0.600f}, {0.150f, 0.060f}}}, {0.3127f, 0.3290f}, {2.4f, 1 / 1.055f, 0.055f / 1.055f, 1 / 12.92f, 0.04045f, 0.0f, 0.0f} }; } const ColorSpace ColorSpace::linearSRGB() { return { "sRGB IEC61966-2.1 (Linear)", {{float2{0.640f, 0.330f}, {0.300f, 0.600f}, {0.150f, 0.060f}}}, {0.3127f, 0.3290f} }; } const ColorSpace ColorSpace::extendedSRGB() { return { "scRGB-nl IEC 61966-2-2:2003", {{float2{0.640f, 0.330f}, {0.300f, 0.600f}, {0.150f, 0.060f}}}, {0.3127f, 0.3290f}, std::bind(absRcpResponse, _1, 2.4f, 1 / 1.055f, 0.055f / 1.055f, 1 / 12.92f, 0.04045f), std::bind(absResponse, _1, 2.4f, 1 / 1.055f, 0.055f / 1.055f, 1 / 12.92f, 0.04045f), std::bind(clamp, _1, -0.799f, 2.399f) }; } const ColorSpace ColorSpace::linearExtendedSRGB() { return { "scRGB IEC 61966-2-2:2003", {{float2{0.640f, 0.330f}, {0.300f, 0.600f}, {0.150f, 0.060f}}}, {0.3127f, 0.3290f}, 1.0f, std::bind(clamp, _1, -0.5f, 7.499f) }; } const ColorSpace ColorSpace::NTSC() { return { "NTSC (1953)", {{float2{0.67f, 0.33f}, {0.21f, 0.71f}, {0.14f, 0.08f}}}, {0.310f, 0.316f}, {1 / 0.45f, 1 / 1.099f, 0.099f / 1.099f, 1 / 4.5f, 0.081f, 0.0f, 0.0f} }; } const ColorSpace ColorSpace::BT709() { return { "Rec. ITU-R BT.709-5", {{float2{0.640f, 0.330f}, {0.300f, 0.600f}, {0.150f, 0.060f}}}, {0.3127f, 0.3290f}, {1 / 0.45f, 1 / 1.099f, 0.099f / 1.099f, 1 / 4.5f, 0.081f, 0.0f, 0.0f} }; } const ColorSpace ColorSpace::BT2020() { return { "Rec. ITU-R BT.2020-1", {{float2{0.708f, 0.292f}, {0.170f, 0.797f}, {0.131f, 0.046f}}}, {0.3127f, 0.3290f}, {1 / 0.45f, 1 / 1.099f, 0.099f / 1.099f, 1 / 4.5f, 0.081f, 0.0f, 0.0f} }; } const ColorSpace ColorSpace::AdobeRGB() { return { "Adobe RGB (1998)", {{float2{0.64f, 0.33f}, {0.21f, 0.71f}, {0.15f, 0.06f}}}, {0.3127f, 0.3290f}, 2.2f }; } const ColorSpace ColorSpace::ProPhotoRGB() { return { "ROMM RGB ISO 22028-2:2013", {{float2{0.7347f, 0.2653f}, {0.1596f, 0.8404f}, {0.0366f, 0.0001f}}}, {0.34567f, 0.35850f}, {1.8f, 1.0f, 0.0f, 1 / 16.0f, 0.031248f, 0.0f, 0.0f} }; } const ColorSpace ColorSpace::DisplayP3() { return { "Display P3", {{float2{0.680f, 0.320f}, {0.265f, 0.690f}, {0.150f, 0.060f}}}, {0.3127f, 0.3290f}, {2.4f, 1 / 1.055f, 0.055f / 1.055f, 1 / 12.92f, 0.039f, 0.0f, 0.0f} }; } const ColorSpace ColorSpace::DCIP3() { return { "SMPTE RP 431-2-2007 DCI (P3)", {{float2{0.680f, 0.320f}, {0.265f, 0.690f}, {0.150f, 0.060f}}}, {0.314f, 0.351f}, 2.6f }; } const ColorSpace ColorSpace::ACES() { return { "SMPTE ST 2065-1:2012 ACES", {{float2{0.73470f, 0.26530f}, {0.0f, 1.0f}, {0.00010f, -0.0770f}}}, {0.32168f, 0.33767f}, 1.0f, std::bind(clamp, _1, -65504.0f, 65504.0f) }; } const ColorSpace ColorSpace::ACEScg() { return { "Academy S-2014-004 ACEScg", {{float2{0.713f, 0.293f}, {0.165f, 0.830f}, {0.128f, 0.044f}}}, {0.32168f, 0.33767f}, 1.0f, std::bind(clamp, _1, -65504.0f, 65504.0f) }; } std::unique_ptr ColorSpace::createLUT(uint32_t size, const ColorSpace& src, const ColorSpace& dst) { size = clamp(size, 2u, 256u); float m = 1.0f / float(size - 1); std::unique_ptr lut(new float3[size * size * size]); float3* data = lut.get(); ColorSpaceConnector connector(src, dst); for (uint32_t z = 0; z < size; z++) { for (int32_t y = int32_t(size - 1); y >= 0; y--) { for (uint32_t x = 0; x < size; x++) { *data++ = connector.transform({x * m, y * m, z * m}); } } } return lut; } static const float2 ILLUMINANT_D50_XY = {0.34567f, 0.35850f}; static const float3 ILLUMINANT_D50_XYZ = {0.964212f, 1.0f, 0.825188f}; static const mat3 BRADFORD = mat3{ float3{ 0.8951f, -0.7502f, 0.0389f}, float3{ 0.2664f, 1.7135f, -0.0685f}, float3{-0.1614f, 0.0367f, 1.0296f} }; static mat3 adaptation(const mat3& matrix, const float3& srcWhitePoint, const float3& dstWhitePoint) { float3 srcLMS = matrix * srcWhitePoint; float3 dstLMS = matrix * dstWhitePoint; return inverse(matrix) * mat3{dstLMS / srcLMS} * matrix; } ColorSpaceConnector::ColorSpaceConnector( const ColorSpace& src, const ColorSpace& dst) noexcept : mSource(src) , mDestination(dst) { if (all(lessThan(abs(src.getWhitePoint() - dst.getWhitePoint()), float2{1e-3f}))) { mTransform = dst.getXYZtoRGB() * src.getRGBtoXYZ(); } else { mat3 rgbToXYZ(src.getRGBtoXYZ()); mat3 xyzToRGB(dst.getXYZtoRGB()); float3 srcXYZ = ColorSpace::XYZ(float3{src.getWhitePoint(), 1}); float3 dstXYZ = ColorSpace::XYZ(float3{dst.getWhitePoint(), 1}); if (any(greaterThan(abs(src.getWhitePoint() - ILLUMINANT_D50_XY), float2{1e-3f}))) { rgbToXYZ = adaptation(BRADFORD, srcXYZ, ILLUMINANT_D50_XYZ) * src.getRGBtoXYZ(); } if (any(greaterThan(abs(dst.getWhitePoint() - ILLUMINANT_D50_XY), float2{1e-3f}))) { xyzToRGB = inverse(adaptation(BRADFORD, dstXYZ, ILLUMINANT_D50_XYZ) * dst.getRGBtoXYZ()); } mTransform = xyzToRGB * rgbToXYZ; } } }; // namespace android