#ifndef __ACES__ #define __ACES__ /** * https://github.com/ampas/aces-dev * * Academy Color Encoding System (ACES) software and tools are provided by the * Academy under the following terms and conditions: A worldwide, royalty-free, * non-exclusive right to copy, modify, create derivatives, and use, in source and * binary forms, is hereby granted, subject to acceptance of this license. * * Copyright 2015 Academy of Motion Picture Arts and Sciences (A.M.P.A.S.). * Portions contributed by others as indicated. All rights reserved. * * Performance of any of the aforementioned acts indicates acceptance to be bound * by the following terms and conditions: * * * Copies of source code, in whole or in part, must retain the above copyright * notice, this list of conditions and the Disclaimer of Warranty. * * * Use in binary form must retain the above copyright notice, this list of * conditions and the Disclaimer of Warranty in the documentation and/or other * materials provided with the distribution. * * * Nothing in this license shall be deemed to grant any rights to trademarks, * copyrights, patents, trade secrets or any other intellectual property of * A.M.P.A.S. or any contributors, except as expressly stated herein. * * * Neither the name "A.M.P.A.S." nor the name of any other contributors to this * software may be used to endorse or promote products derivative of or based on * this software without express prior written permission of A.M.P.A.S. or the * contributors, as appropriate. * * This license shall be construed pursuant to the laws of the State of * California, and any disputes related thereto shall be subject to the * jurisdiction of the courts therein. * * Disclaimer of Warranty: THIS SOFTWARE IS PROVIDED BY A.M.P.A.S. AND CONTRIBUTORS * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, * THE IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, AND * NON-INFRINGEMENT ARE DISCLAIMED. IN NO EVENT SHALL A.M.P.A.S., OR ANY * CONTRIBUTORS OR DISTRIBUTORS, BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, * SPECIAL, EXEMPLARY, RESITUTIONARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE * OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF * ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. * * WITHOUT LIMITING THE GENERALITY OF THE FOREGOING, THE ACADEMY SPECIFICALLY * DISCLAIMS ANY REPRESENTATIONS OR WARRANTIES WHATSOEVER RELATED TO PATENT OR * OTHER INTELLECTUAL PROPERTY RIGHTS IN THE ACADEMY COLOR ENCODING SYSTEM, OR * APPLICATIONS THEREOF, HELD BY PARTIES OTHER THAN A.M.P.A.S.,WHETHER DISCLOSED OR * UNDISCLOSED. */ #include "Common.hlsl" #define ACEScc_MAX 1.4679964 #define ACEScc_MIDGRAY 0.4135884 // // Precomputed matrices (pre-transposed) // See https://github.com/ampas/aces-dev/blob/master/transforms/ctl/README-MATRIX.md // static const half3x3 sRGB_2_AP0 = { 0.4397010, 0.3829780, 0.1773350, 0.0897923, 0.8134230, 0.0967616, 0.0175440, 0.1115440, 0.8707040 }; static const half3x3 sRGB_2_AP1 = { 0.61319, 0.33951, 0.04737, 0.07021, 0.91634, 0.01345, 0.02062, 0.10957, 0.86961 }; static const half3x3 AP0_2_sRGB = { 2.52169, -1.13413, -0.38756, -0.27648, 1.37272, -0.09624, -0.01538, -0.15298, 1.16835, }; static const half3x3 AP1_2_sRGB = { 1.70505, -0.62179, -0.08326, -0.13026, 1.14080, -0.01055, -0.02400, -0.12897, 1.15297, }; static const half3x3 AP0_2_AP1_MAT = { 1.4514393161, -0.2365107469, -0.2149285693, -0.0765537734, 1.1762296998, -0.0996759264, 0.0083161484, -0.0060324498, 0.9977163014 }; static const half3x3 AP1_2_AP0_MAT = { 0.6954522414, 0.1406786965, 0.1638690622, 0.0447945634, 0.8596711185, 0.0955343182, -0.0055258826, 0.0040252103, 1.0015006723 }; static const half3x3 AP1_2_XYZ_MAT = { 0.6624541811, 0.1340042065, 0.1561876870, 0.2722287168, 0.6740817658, 0.0536895174, -0.0055746495, 0.0040607335, 1.0103391003 }; static const half3x3 XYZ_2_AP1_MAT = { 1.6410233797, -0.3248032942, -0.2364246952, -0.6636628587, 1.6153315917, 0.0167563477, 0.0117218943, -0.0082844420, 0.9883948585 }; static const half3x3 XYZ_2_REC709_MAT = { 3.2409699419, -1.5373831776, -0.4986107603, -0.9692436363, 1.8759675015, 0.0415550574, 0.0556300797, -0.2039769589, 1.0569715142 }; static const half3x3 XYZ_2_REC2020_MAT = { 1.7166511880, -0.3556707838, -0.2533662814, -0.6666843518, 1.6164812366, 0.0157685458, 0.0176398574, -0.0427706133, 0.9421031212 }; static const half3x3 XYZ_2_DCIP3_MAT = { 2.7253940305, -1.0180030062, -0.4401631952, -0.7951680258, 1.6897320548, 0.0226471906, 0.0412418914, -0.0876390192, 1.1009293786 }; static const half3 AP1_RGB2Y = half3(0.272229, 0.674082, 0.0536895); static const half3x3 RRT_SAT_MAT = { 0.9708890, 0.0269633, 0.00214758, 0.0108892, 0.9869630, 0.00214758, 0.0108892, 0.0269633, 0.96214800 }; static const half3x3 ODT_SAT_MAT = { 0.949056, 0.0471857, 0.00375827, 0.019056, 0.9771860, 0.00375827, 0.019056, 0.0471857, 0.93375800 }; static const half3x3 D60_2_D65_CAT = { 0.98722400, -0.00611327, 0.0159533, -0.00759836, 1.00186000, 0.0053302, 0.00307257, -0.00509595, 1.0816800 }; // // Unity to ACES // // converts Unity raw (sRGB primaries) to // ACES2065-1 (AP0 w/ linear encoding) // half3 unity_to_ACES(half3 x) { x = mul(sRGB_2_AP0, x); return x; } // // ACES to Unity // // converts ACES2065-1 (AP0 w/ linear encoding) // Unity raw (sRGB primaries) to // half3 ACES_to_unity(half3 x) { x = mul(AP0_2_sRGB, x); return x; } // // Unity to ACEScg // // converts Unity raw (sRGB primaries) to // ACEScg (AP1 w/ linear encoding) // half3 unity_to_ACEScg(half3 x) { x = mul(sRGB_2_AP1, x); return x; } // // ACEScg to Unity // // converts ACEScg (AP1 w/ linear encoding) to // Unity raw (sRGB primaries) // half3 ACEScg_to_unity(half3 x) { x = mul(AP1_2_sRGB, x); return x; } // // ACES Color Space Conversion - ACES to ACEScc // // converts ACES2065-1 (AP0 w/ linear encoding) to // ACEScc (AP1 w/ logarithmic encoding) // // This transform follows the formulas from section 4.4 in S-2014-003 // half ACES_to_ACEScc(half x) { if (x <= 0.0) return -0.35828683; // = (log2(pow(2.0, -15.0) * 0.5) + 9.72) / 17.52 else if (x < pow(2.0, -15.0)) return (log2(pow(2.0, -16.0) + x * 0.5) + 9.72) / 17.52; else // (x >= pow(2.0, -15.0)) return (log2(x) + 9.72) / 17.52; } half3 ACES_to_ACEScc(half3 x) { x = clamp(x, 0.0, HALF_MAX); // x is clamped to [0, HALF_MAX], skip the <= 0 check return (x < 0.00003051757) ? (log2(0.00001525878 + x * 0.5) + 9.72) / 17.52 : (log2(x) + 9.72) / 17.52; /* return half3( ACES_to_ACEScc(x.r), ACES_to_ACEScc(x.g), ACES_to_ACEScc(x.b) ); */ } // // ACES Color Space Conversion - ACEScc to ACES // // converts ACEScc (AP1 w/ ACESlog encoding) to // ACES2065-1 (AP0 w/ linear encoding) // // This transform follows the formulas from section 4.4 in S-2014-003 // half ACEScc_to_ACES(half x) { // TODO: Optimize me if (x < -0.3013698630) // (9.72 - 15) / 17.52 return (pow(2.0, x * 17.52 - 9.72) - pow(2.0, -16.0)) * 2.0; else if (x < (log2(HALF_MAX) + 9.72) / 17.52) return pow(2.0, x * 17.52 - 9.72); else // (x >= (log2(HALF_MAX) + 9.72) / 17.52) return HALF_MAX; } half3 ACEScc_to_ACES(half3 x) { return half3( ACEScc_to_ACES(x.r), ACEScc_to_ACES(x.g), ACEScc_to_ACES(x.b) ); } // // ACES Color Space Conversion - ACES to ACEScg // // converts ACES2065-1 (AP0 w/ linear encoding) to // ACEScg (AP1 w/ linear encoding) // half3 ACES_to_ACEScg(half3 x) { return mul(AP0_2_AP1_MAT, x); } // // ACES Color Space Conversion - ACEScg to ACES // // converts ACEScg (AP1 w/ linear encoding) to // ACES2065-1 (AP0 w/ linear encoding) // half3 ACEScg_to_ACES(half3 x) { return mul(AP1_2_AP0_MAT, x); } // // Reference Rendering Transform (RRT) // // Input is ACES // Output is OCES // half rgb_2_saturation(half3 rgb) { const half TINY = 1e-4; half mi = Min3(rgb.r, rgb.g, rgb.b); half ma = Max3(rgb.r, rgb.g, rgb.b); return (max(ma, TINY) - max(mi, TINY)) / max(ma, 1e-2); } half rgb_2_yc(half3 rgb) { const half ycRadiusWeight = 1.75; // Converts RGB to a luminance proxy, here called YC // YC is ~ Y + K * Chroma // Constant YC is a cone-shaped surface in RGB space, with the tip on the // neutral axis, towards white. // YC is normalized: RGB 1 1 1 maps to YC = 1 // // ycRadiusWeight defaults to 1.75, although can be overridden in function // call to rgb_2_yc // ycRadiusWeight = 1 -> YC for pure cyan, magenta, yellow == YC for neutral // of same value // ycRadiusWeight = 2 -> YC for pure red, green, blue == YC for neutral of // same value. half r = rgb.x; half g = rgb.y; half b = rgb.z; half k = b * (b - g) + g * (g - r) + r * (r - b); #if defined(SHADER_API_SWITCH) half chroma = k == 0.0 ? 0.0 : sqrt(k); // Fix NaN on Nintendo Switch (should not happen in theory). #else half chroma = sqrt(k); #endif return (b + g + r + ycRadiusWeight * chroma) / 3.0; } half rgb_2_hue(half3 rgb) { // Returns a geometric hue angle in degrees (0-360) based on RGB values. // For neutral colors, hue is undefined and the function will return a quiet NaN value. half hue; if (rgb.x == rgb.y && rgb.y == rgb.z) hue = 0.0; // RGB triplets where RGB are equal have an undefined hue else hue = (180.0 / PI) * atan2(sqrt(3.0) * (rgb.y - rgb.z), 2.0 * rgb.x - rgb.y - rgb.z); if (hue < 0.0) hue = hue + 360.0; return hue; } half center_hue(half hue, half centerH) { half hueCentered = hue - centerH; if (hueCentered < -180.0) hueCentered = hueCentered + 360.0; else if (hueCentered > 180.0) hueCentered = hueCentered - 360.0; return hueCentered; } half sigmoid_shaper(half x) { // Sigmoid function in the range 0 to 1 spanning -2 to +2. half t = max(1.0 - abs(x / 2.0), 0.0); half y = 1.0 + FastSign(x) * (1.0 - t * t); return y / 2.0; } half glow_fwd(half ycIn, half glowGainIn, half glowMid) { half glowGainOut; if (ycIn <= 2.0 / 3.0 * glowMid) glowGainOut = glowGainIn; else if (ycIn >= 2.0 * glowMid) glowGainOut = 0.0; else glowGainOut = glowGainIn * (glowMid / ycIn - 1.0 / 2.0); return glowGainOut; } /* half cubic_basis_shaper ( half x, half w // full base width of the shaper function (in degrees) ) { half M[4][4] = { { -1.0 / 6, 3.0 / 6, -3.0 / 6, 1.0 / 6 }, { 3.0 / 6, -6.0 / 6, 3.0 / 6, 0.0 / 6 }, { -3.0 / 6, 0.0 / 6, 3.0 / 6, 0.0 / 6 }, { 1.0 / 6, 4.0 / 6, 1.0 / 6, 0.0 / 6 } }; half knots[5] = { -w / 2.0, -w / 4.0, 0.0, w / 4.0, w / 2.0 }; half y = 0.0; if ((x > knots[0]) && (x < knots[4])) { half knot_coord = (x - knots[0]) * 4.0 / w; int j = knot_coord; half t = knot_coord - j; half monomials[4] = { t*t*t, t*t, t, 1.0 }; // (if/else structure required for compatibility with CTL < v1.5.) if (j == 3) { y = monomials[0] * M[0][0] + monomials[1] * M[1][0] + monomials[2] * M[2][0] + monomials[3] * M[3][0]; } else if (j == 2) { y = monomials[0] * M[0][1] + monomials[1] * M[1][1] + monomials[2] * M[2][1] + monomials[3] * M[3][1]; } else if (j == 1) { y = monomials[0] * M[0][2] + monomials[1] * M[1][2] + monomials[2] * M[2][2] + monomials[3] * M[3][2]; } else if (j == 0) { y = monomials[0] * M[0][3] + monomials[1] * M[1][3] + monomials[2] * M[2][3] + monomials[3] * M[3][3]; } else { y = 0.0; } } return y * 3.0 / 2.0; } */ static const half3x3 M = { 0.5, -1.0, 0.5, -1.0, 1.0, 0.0, 0.5, 0.5, 0.0 }; half segmented_spline_c5_fwd(half x) { const half coefsLow[6] = { -4.0000000000, -4.0000000000, -3.1573765773, -0.4852499958, 1.8477324706, 1.8477324706 }; // coefs for B-spline between minPoint and midPoint (units of log luminance) const half coefsHigh[6] = { -0.7185482425, 2.0810307172, 3.6681241237, 4.0000000000, 4.0000000000, 4.0000000000 }; // coefs for B-spline between midPoint and maxPoint (units of log luminance) const half2 minPoint = half2(0.18 * exp2(-15.0), 0.0001); // {luminance, luminance} linear extension below this const half2 midPoint = half2(0.18, 0.48); // {luminance, luminance} const half2 maxPoint = half2(0.18 * exp2(18.0), 10000.0); // {luminance, luminance} linear extension above this const half slopeLow = 0.0; // log-log slope of low linear extension const half slopeHigh = 0.0; // log-log slope of high linear extension const int N_KNOTS_LOW = 4; const int N_KNOTS_HIGH = 4; // Check for negatives or zero before taking the log. If negative or zero, // set to ACESMIN.1 float xCheck = x; if (xCheck <= 0.0) xCheck = 0.00006103515; // = pow(2.0, -14.0); half logx = log10(xCheck); half logy; if (logx <= log10(minPoint.x)) { logy = logx * slopeLow + (log10(minPoint.y) - slopeLow * log10(minPoint.x)); } else if ((logx > log10(minPoint.x)) && (logx < log10(midPoint.x))) { half knot_coord = (N_KNOTS_LOW - 1) * (logx - log10(minPoint.x)) / (log10(midPoint.x) - log10(minPoint.x)); int j = knot_coord; half t = knot_coord - j; half3 cf = half3(coefsLow[j], coefsLow[j + 1], coefsLow[j + 2]); half3 monomials = half3(t * t, t, 1.0); logy = dot(monomials, mul(M, cf)); } else if ((logx >= log10(midPoint.x)) && (logx < log10(maxPoint.x))) { half knot_coord = (N_KNOTS_HIGH - 1) * (logx - log10(midPoint.x)) / (log10(maxPoint.x) - log10(midPoint.x)); int j = knot_coord; half t = knot_coord - j; half3 cf = half3(coefsHigh[j], coefsHigh[j + 1], coefsHigh[j + 2]); half3 monomials = half3(t * t, t, 1.0); logy = dot(monomials, mul(M, cf)); } else { //if (logIn >= log10(maxPoint.x)) { logy = logx * slopeHigh + (log10(maxPoint.y) - slopeHigh * log10(maxPoint.x)); } return pow(10.0, logy); } half segmented_spline_c9_fwd(half x) { const half coefsLow[10] = { -1.6989700043, -1.6989700043, -1.4779000000, -1.2291000000, -0.8648000000, -0.4480000000, 0.0051800000, 0.4511080334, 0.9113744414, 0.9113744414 }; // coefs for B-spline between minPoint and midPoint (units of log luminance) const half coefsHigh[10] = { 0.5154386965, 0.8470437783, 1.1358000000, 1.3802000000, 1.5197000000, 1.5985000000, 1.6467000000, 1.6746091357, 1.6878733390, 1.6878733390 }; // coefs for B-spline between midPoint and maxPoint (units of log luminance) const half2 minPoint = half2(segmented_spline_c5_fwd(0.18 * exp2(-6.5)), 0.02); // {luminance, luminance} linear extension below this const half2 midPoint = half2(segmented_spline_c5_fwd(0.18), 4.8); // {luminance, luminance} const half2 maxPoint = half2(segmented_spline_c5_fwd(0.18 * exp2(6.5)), 48.0); // {luminance, luminance} linear extension above this const half slopeLow = 0.0; // log-log slope of low linear extension const half slopeHigh = 0.04; // log-log slope of high linear extension const int N_KNOTS_LOW = 8; const int N_KNOTS_HIGH = 8; // Check for negatives or zero before taking the log. If negative or zero, // set to OCESMIN. half xCheck = x; if (xCheck <= 0.0) xCheck = 1e-4; half logx = log10(xCheck); half logy; if (logx <= log10(minPoint.x)) { logy = logx * slopeLow + (log10(minPoint.y) - slopeLow * log10(minPoint.x)); } else if ((logx > log10(minPoint.x)) && (logx < log10(midPoint.x))) { half knot_coord = (N_KNOTS_LOW - 1) * (logx - log10(minPoint.x)) / (log10(midPoint.x) - log10(minPoint.x)); int j = knot_coord; half t = knot_coord - j; half3 cf = half3(coefsLow[j], coefsLow[j + 1], coefsLow[j + 2]); half3 monomials = half3(t * t, t, 1.0); logy = dot(monomials, mul(M, cf)); } else if ((logx >= log10(midPoint.x)) && (logx < log10(maxPoint.x))) { half knot_coord = (N_KNOTS_HIGH - 1) * (logx - log10(midPoint.x)) / (log10(maxPoint.x) - log10(midPoint.x)); int j = knot_coord; half t = knot_coord - j; half3 cf = half3(coefsHigh[j], coefsHigh[j + 1], coefsHigh[j + 2]); half3 monomials = half3(t * t, t, 1.0); logy = dot(monomials, mul(M, cf)); } else { //if (logIn >= log10(maxPoint.x)) { logy = logx * slopeHigh + (log10(maxPoint.y) - slopeHigh * log10(maxPoint.x)); } return pow(10.0, logy); } static const half RRT_GLOW_GAIN = 0.05; static const half RRT_GLOW_MID = 0.08; static const half RRT_RED_SCALE = 0.82; static const half RRT_RED_PIVOT = 0.03; static const half RRT_RED_HUE = 0.0; static const half RRT_RED_WIDTH = 135.0; static const half RRT_SAT_FACTOR = 0.96; half3 RRT(half3 aces) { // --- Glow module --- // half saturation = rgb_2_saturation(aces); half ycIn = rgb_2_yc(aces); half s = sigmoid_shaper((saturation - 0.4) / 0.2); half addedGlow = 1.0 + glow_fwd(ycIn, RRT_GLOW_GAIN * s, RRT_GLOW_MID); aces *= addedGlow; // --- Red modifier --- // half hue = rgb_2_hue(aces); half centeredHue = center_hue(hue, RRT_RED_HUE); half hueWeight; { //hueWeight = cubic_basis_shaper(centeredHue, RRT_RED_WIDTH); hueWeight = smoothstep(0.0, 1.0, 1.0 - abs(2.0 * centeredHue / RRT_RED_WIDTH)); hueWeight *= hueWeight; } aces.r += hueWeight * saturation * (RRT_RED_PIVOT - aces.r) * (1.0 - RRT_RED_SCALE); // --- ACES to RGB rendering space --- // aces = clamp(aces, 0.0, HALF_MAX); // avoids saturated negative colors from becoming positive in the matrix half3 rgbPre = mul(AP0_2_AP1_MAT, aces); rgbPre = clamp(rgbPre, 0, HALF_MAX); // --- Global desaturation --- // //rgbPre = mul(RRT_SAT_MAT, rgbPre); rgbPre = lerp(dot(rgbPre, AP1_RGB2Y).xxx, rgbPre, RRT_SAT_FACTOR.xxx); // --- Apply the tonescale independently in rendering-space RGB --- // half3 rgbPost; rgbPost.x = segmented_spline_c5_fwd(rgbPre.x); rgbPost.y = segmented_spline_c5_fwd(rgbPre.y); rgbPost.z = segmented_spline_c5_fwd(rgbPre.z); // --- RGB rendering space to OCES --- // half3 rgbOces = mul(AP1_2_AP0_MAT, rgbPost); return rgbOces; } // // Output Device Transform // half3 Y_2_linCV(half3 Y, half Ymax, half Ymin) { return (Y - Ymin) / (Ymax - Ymin); } half3 XYZ_2_xyY(half3 XYZ) { half divisor = max(dot(XYZ, (1.0).xxx), 1e-4); return half3(XYZ.xy / divisor, XYZ.y); } half3 xyY_2_XYZ(half3 xyY) { half m = xyY.z / max(xyY.y, 1e-4); half3 XYZ = half3(xyY.xz, (1.0 - xyY.x - xyY.y)); XYZ.xz *= m; return XYZ; } static const half DIM_SURROUND_GAMMA = 0.9811; half3 darkSurround_to_dimSurround(half3 linearCV) { half3 XYZ = mul(AP1_2_XYZ_MAT, linearCV); half3 xyY = XYZ_2_xyY(XYZ); xyY.z = clamp(xyY.z, 0.0, HALF_MAX); xyY.z = pow(xyY.z, DIM_SURROUND_GAMMA); XYZ = xyY_2_XYZ(xyY); return mul(XYZ_2_AP1_MAT, XYZ); } half moncurve_r(half y, half gamma, half offs) { // Reverse monitor curve half x; const half yb = pow(offs * gamma / ((gamma - 1.0) * (1.0 + offs)), gamma); const half rs = pow((gamma - 1.0) / offs, gamma - 1.0) * pow((1.0 + offs) / gamma, gamma); if (y >= yb) x = (1.0 + offs) * pow(y, 1.0 / gamma) - offs; else x = y * rs; return x; } half bt1886_r(half L, half gamma, half Lw, half Lb) { // The reference EOTF specified in Rec. ITU-R BT.1886 // L = a(max[(V+b),0])^g half a = pow(pow(Lw, 1.0 / gamma) - pow(Lb, 1.0 / gamma), gamma); half b = pow(Lb, 1.0 / gamma) / (pow(Lw, 1.0 / gamma) - pow(Lb, 1.0 / gamma)); half V = pow(max(L / a, 0.0), 1.0 / gamma) - b; return V; } half roll_white_fwd( half x, // color value to adjust (white scaled to around 1.0) half new_wht, // white adjustment (e.g. 0.9 for 10% darkening) half width // adjusted width (e.g. 0.25 for top quarter of the tone scale) ) { const half x0 = -1.0; const half x1 = x0 + width; const half y0 = -new_wht; const half y1 = x1; const half m1 = (x1 - x0); const half a = y0 - y1 + m1; const half b = 2.0 * (y1 - y0) - m1; const half c = y0; const half t = (-x - x0) / (x1 - x0); half o = 0.0; if (t < 0.0) o = -(t * b + c); else if (t > 1.0) o = x; else o = -((t * a + b) * t + c); return o; } half3 linear_to_sRGB(half3 x) { return (x <= 0.0031308 ? (x * 12.9232102) : 1.055 * pow(x, 1.0 / 2.4) - 0.055); } half3 linear_to_bt1886(half3 x, half gamma, half Lw, half Lb) { // Good enough approximation for now, may consider using the exact formula instead // TODO: Experiment return pow(max(x, 0.0), 1.0 / 2.4); // Correct implementation (Reference EOTF specified in Rec. ITU-R BT.1886) : // L = a(max[(V+b),0])^g half invgamma = 1.0 / gamma; half p_Lw = pow(Lw, invgamma); half p_Lb = pow(Lb, invgamma); half3 a = pow(p_Lw - p_Lb, gamma).xxx; half3 b = (p_Lb / p_Lw - p_Lb).xxx; half3 V = pow(max(x / a, 0.0), invgamma.xxx) - b; return V; } static const half CINEMA_WHITE = 48.0; static const half CINEMA_BLACK = CINEMA_WHITE / 2400.0; static const half ODT_SAT_FACTOR = 0.93; // ODT.Academy.RGBmonitor_100nits_dim.a1.0.3 // ACES 1.0 Output - sRGB // // Output Device Transform - RGB computer monitor // // // Summary : // This transform is intended for mapping OCES onto a desktop computer monitor // typical of those used in motion picture visual effects production. These // monitors may occasionally be referred to as "sRGB" displays, however, the // monitor for which this transform is designed does not exactly match the // specifications in IEC 61966-2-1:1999. // // The assumed observer adapted white is D65, and the viewing environment is // that of a dim surround. // // The monitor specified is intended to be more typical of those found in // visual effects production. // // Device Primaries : // Primaries are those specified in Rec. ITU-R BT.709 // CIE 1931 chromaticities: x y Y // Red: 0.64 0.33 // Green: 0.3 0.6 // Blue: 0.15 0.06 // White: 0.3127 0.329 100 cd/m^2 // // Display EOTF : // The reference electro-optical transfer function specified in // IEC 61966-2-1:1999. // // Signal Range: // This transform outputs full range code values. // // Assumed observer adapted white point: // CIE 1931 chromaticities: x y // 0.3127 0.329 // // Viewing Environment: // This ODT has a compensation for viewing environment variables more typical // of those associated with video mastering. // half3 ODT_RGBmonitor_100nits_dim(half3 oces) { // OCES to RGB rendering space half3 rgbPre = mul(AP0_2_AP1_MAT, oces); // Apply the tonescale independently in rendering-space RGB half3 rgbPost; rgbPost.x = segmented_spline_c9_fwd(rgbPre.x); rgbPost.y = segmented_spline_c9_fwd(rgbPre.y); rgbPost.z = segmented_spline_c9_fwd(rgbPre.z); // Scale luminance to linear code value half3 linearCV = Y_2_linCV(rgbPost, CINEMA_WHITE, CINEMA_BLACK); // Apply gamma adjustment to compensate for dim surround linearCV = darkSurround_to_dimSurround(linearCV); // Apply desaturation to compensate for luminance difference //linearCV = mul(ODT_SAT_MAT, linearCV); linearCV = lerp(dot(linearCV, AP1_RGB2Y).xxx, linearCV, ODT_SAT_FACTOR.xxx); // Convert to display primary encoding // Rendering space RGB to XYZ half3 XYZ = mul(AP1_2_XYZ_MAT, linearCV); // Apply CAT from ACES white point to assumed observer adapted white point XYZ = mul(D60_2_D65_CAT, XYZ); // CIE XYZ to display primaries linearCV = mul(XYZ_2_REC709_MAT, XYZ); // Handle out-of-gamut values // Clip values < 0 or > 1 (i.e. projecting outside the display primaries) linearCV = saturate(linearCV); // TODO: Revisit when it is possible to deactivate Unity default framebuffer encoding // with sRGB opto-electrical transfer function (OETF). /* // Encode linear code values with transfer function half3 outputCV; // moncurve_r with gamma of 2.4 and offset of 0.055 matches the EOTF found in IEC 61966-2-1:1999 (sRGB) const half DISPGAMMA = 2.4; const half OFFSET = 0.055; outputCV.x = moncurve_r(linearCV.x, DISPGAMMA, OFFSET); outputCV.y = moncurve_r(linearCV.y, DISPGAMMA, OFFSET); outputCV.z = moncurve_r(linearCV.z, DISPGAMMA, OFFSET); outputCV = linear_to_sRGB(linearCV); */ // Unity already draws to a sRGB target return linearCV; } // ODT.Academy.RGBmonitor_D60sim_100nits_dim.a1.0.3 // ACES 1.0 Output - sRGB (D60 sim.) // // Output Device Transform - RGB computer monitor (D60 simulation) // // // Summary : // This transform is intended for mapping OCES onto a desktop computer monitor // typical of those used in motion picture visual effects production. These // monitors may occasionally be referred to as "sRGB" displays, however, the // monitor for which this transform is designed does not exactly match the // specifications in IEC 61966-2-1:1999. // // The assumed observer adapted white is D60, and the viewing environment is // that of a dim surround. // // The monitor specified is intended to be more typical of those found in // visual effects production. // // Device Primaries : // Primaries are those specified in Rec. ITU-R BT.709 // CIE 1931 chromaticities: x y Y // Red: 0.64 0.33 // Green: 0.3 0.6 // Blue: 0.15 0.06 // White: 0.3127 0.329 100 cd/m^2 // // Display EOTF : // The reference electro-optical transfer function specified in // IEC 61966-2-1:1999. // // Signal Range: // This transform outputs full range code values. // // Assumed observer adapted white point: // CIE 1931 chromaticities: x y // 0.32168 0.33767 // // Viewing Environment: // This ODT has a compensation for viewing environment variables more typical // of those associated with video mastering. // half3 ODT_RGBmonitor_D60sim_100nits_dim(half3 oces) { // OCES to RGB rendering space half3 rgbPre = mul(AP0_2_AP1_MAT, oces); // Apply the tonescale independently in rendering-space RGB half3 rgbPost; rgbPost.x = segmented_spline_c9_fwd(rgbPre.x); rgbPost.y = segmented_spline_c9_fwd(rgbPre.y); rgbPost.z = segmented_spline_c9_fwd(rgbPre.z); // Scale luminance to linear code value half3 linearCV = Y_2_linCV(rgbPost, CINEMA_WHITE, CINEMA_BLACK); // --- Compensate for different white point being darker --- // // This adjustment is to correct an issue that exists in ODTs where the device // is calibrated to a white chromaticity other than D60. In order to simulate // D60 on such devices, unequal code values are sent to the display to achieve // neutrals at D60. In order to produce D60 on a device calibrated to the DCI // white point (i.e. equal code values yield CIE x,y chromaticities of 0.314, // 0.351) the red channel is higher than green and blue to compensate for the // "greenish" DCI white. This is the correct behavior but it means that as // highlight increase, the red channel will hit the device maximum first and // clip, resulting in a chromaticity shift as the green and blue channels // continue to increase. // To avoid this clipping error, a slight scale factor is applied to allow the // ODTs to simulate D60 within the D65 calibration white point. // Scale and clamp white to avoid casted highlights due to D60 simulation const half SCALE = 0.955; linearCV = min(linearCV, 1.0) * SCALE; // Apply gamma adjustment to compensate for dim surround linearCV = darkSurround_to_dimSurround(linearCV); // Apply desaturation to compensate for luminance difference //linearCV = mul(ODT_SAT_MAT, linearCV); linearCV = lerp(dot(linearCV, AP1_RGB2Y).xxx, linearCV, ODT_SAT_FACTOR.xxx); // Convert to display primary encoding // Rendering space RGB to XYZ half3 XYZ = mul(AP1_2_XYZ_MAT, linearCV); // CIE XYZ to display primaries linearCV = mul(XYZ_2_REC709_MAT, XYZ); // Handle out-of-gamut values // Clip values < 0 or > 1 (i.e. projecting outside the display primaries) linearCV = saturate(linearCV); // TODO: Revisit when it is possible to deactivate Unity default framebuffer encoding // with sRGB opto-electrical transfer function (OETF). /* // Encode linear code values with transfer function half3 outputCV; // moncurve_r with gamma of 2.4 and offset of 0.055 matches the EOTF found in IEC 61966-2-1:1999 (sRGB) const half DISPGAMMA = 2.4; const half OFFSET = 0.055; outputCV.x = moncurve_r(linearCV.x, DISPGAMMA, OFFSET); outputCV.y = moncurve_r(linearCV.y, DISPGAMMA, OFFSET); outputCV.z = moncurve_r(linearCV.z, DISPGAMMA, OFFSET); outputCV = linear_to_sRGB(linearCV); */ // Unity already draws to a sRGB target return linearCV; } // ODT.Academy.Rec709_100nits_dim.a1.0.3 // ACES 1.0 Output - Rec.709 // // Output Device Transform - Rec709 // // // Summary : // This transform is intended for mapping OCES onto a Rec.709 broadcast monitor // that is calibrated to a D65 white point at 100 cd/m^2. The assumed observer // adapted white is D65, and the viewing environment is a dim surround. // // A possible use case for this transform would be HDTV/video mastering. // // Device Primaries : // Primaries are those specified in Rec. ITU-R BT.709 // CIE 1931 chromaticities: x y Y // Red: 0.64 0.33 // Green: 0.3 0.6 // Blue: 0.15 0.06 // White: 0.3127 0.329 100 cd/m^2 // // Display EOTF : // The reference electro-optical transfer function specified in // Rec. ITU-R BT.1886. // // Signal Range: // By default, this transform outputs full range code values. If instead a // SMPTE "legal" signal is desired, there is a runtime flag to output // SMPTE legal signal. In ctlrender, this can be achieved by appending // '-param1 legalRange 1' after the '-ctl odt.ctl' string. // // Assumed observer adapted white point: // CIE 1931 chromaticities: x y // 0.3127 0.329 // // Viewing Environment: // This ODT has a compensation for viewing environment variables more typical // of those associated with video mastering. // half3 ODT_Rec709_100nits_dim(half3 oces) { // OCES to RGB rendering space half3 rgbPre = mul(AP0_2_AP1_MAT, oces); // Apply the tonescale independently in rendering-space RGB half3 rgbPost; rgbPost.x = segmented_spline_c9_fwd(rgbPre.x); rgbPost.y = segmented_spline_c9_fwd(rgbPre.y); rgbPost.z = segmented_spline_c9_fwd(rgbPre.z); // Scale luminance to linear code value half3 linearCV = Y_2_linCV(rgbPost, CINEMA_WHITE, CINEMA_BLACK); // Apply gamma adjustment to compensate for dim surround linearCV = darkSurround_to_dimSurround(linearCV); // Apply desaturation to compensate for luminance difference //linearCV = mul(ODT_SAT_MAT, linearCV); linearCV = lerp(dot(linearCV, AP1_RGB2Y).xxx, linearCV, ODT_SAT_FACTOR.xxx); // Convert to display primary encoding // Rendering space RGB to XYZ half3 XYZ = mul(AP1_2_XYZ_MAT, linearCV); // Apply CAT from ACES white point to assumed observer adapted white point XYZ = mul(D60_2_D65_CAT, XYZ); // CIE XYZ to display primaries linearCV = mul(XYZ_2_REC709_MAT, XYZ); // Handle out-of-gamut values // Clip values < 0 or > 1 (i.e. projecting outside the display primaries) linearCV = saturate(linearCV); // Encode linear code values with transfer function const half DISPGAMMA = 2.4; const half L_W = 1.0; const half L_B = 0.0; half3 outputCV = linear_to_bt1886(linearCV, DISPGAMMA, L_W, L_B); // TODO: Implement support for legal range. // NOTE: Unity framebuffer encoding is encoded with sRGB opto-electrical transfer function (OETF) // by default which will result in double perceptual encoding, thus for now if one want to use // this ODT, he needs to decode its output with sRGB electro-optical transfer function (EOTF) to // compensate for Unity default behaviour. return outputCV; } // ODT.Academy.Rec709_D60sim_100nits_dim.a1.0.3 // ACES 1.0 Output - Rec.709 (D60 sim.) // // Output Device Transform - Rec709 (D60 simulation) // // // Summary : // This transform is intended for mapping OCES onto a Rec.709 broadcast monitor // that is calibrated to a D65 white point at 100 cd/m^2. The assumed observer // adapted white is D60, and the viewing environment is a dim surround. // // A possible use case for this transform would be cinema "soft-proofing". // // Device Primaries : // Primaries are those specified in Rec. ITU-R BT.709 // CIE 1931 chromaticities: x y Y // Red: 0.64 0.33 // Green: 0.3 0.6 // Blue: 0.15 0.06 // White: 0.3127 0.329 100 cd/m^2 // // Display EOTF : // The reference electro-optical transfer function specified in // Rec. ITU-R BT.1886. // // Signal Range: // By default, this transform outputs full range code values. If instead a // SMPTE "legal" signal is desired, there is a runtime flag to output // SMPTE legal signal. In ctlrender, this can be achieved by appending // '-param1 legalRange 1' after the '-ctl odt.ctl' string. // // Assumed observer adapted white point: // CIE 1931 chromaticities: x y // 0.32168 0.33767 // // Viewing Environment: // This ODT has a compensation for viewing environment variables more typical // of those associated with video mastering. // half3 ODT_Rec709_D60sim_100nits_dim(half3 oces) { // OCES to RGB rendering space half3 rgbPre = mul(AP0_2_AP1_MAT, oces); // Apply the tonescale independently in rendering-space RGB half3 rgbPost; rgbPost.x = segmented_spline_c9_fwd(rgbPre.x); rgbPost.y = segmented_spline_c9_fwd(rgbPre.y); rgbPost.z = segmented_spline_c9_fwd(rgbPre.z); // Scale luminance to linear code value half3 linearCV = Y_2_linCV(rgbPost, CINEMA_WHITE, CINEMA_BLACK); // --- Compensate for different white point being darker --- // // This adjustment is to correct an issue that exists in ODTs where the device // is calibrated to a white chromaticity other than D60. In order to simulate // D60 on such devices, unequal code values must be sent to the display to achieve // the chromaticities of D60. More specifically, in order to produce D60 on a device // calibrated to a D65 white point (i.e. equal code values yield CIE x,y // chromaticities of 0.3127, 0.329) the red channel must be slightly higher than // that of green and blue in order to compensate for the relatively more "blue-ish" // D65 white. This unequalness of color channels is the correct behavior but it // means that as neutral highlights increase, the red channel will hit the // device maximum first and clip, resulting in a small chromaticity shift as the // green and blue channels continue to increase to their maximums. // To avoid this clipping error, a slight scale factor is applied to allow the // ODTs to simulate D60 within the D65 calibration white point. // Scale and clamp white to avoid casted highlights due to D60 simulation const half SCALE = 0.955; linearCV = min(linearCV, 1.0) * SCALE; // Apply gamma adjustment to compensate for dim surround linearCV = darkSurround_to_dimSurround(linearCV); // Apply desaturation to compensate for luminance difference //linearCV = mul(ODT_SAT_MAT, linearCV); linearCV = lerp(dot(linearCV, AP1_RGB2Y).xxx, linearCV, ODT_SAT_FACTOR.xxx); // Convert to display primary encoding // Rendering space RGB to XYZ half3 XYZ = mul(AP1_2_XYZ_MAT, linearCV); // CIE XYZ to display primaries linearCV = mul(XYZ_2_REC709_MAT, XYZ); // Handle out-of-gamut values // Clip values < 0 or > 1 (i.e. projecting outside the display primaries) linearCV = saturate(linearCV); // Encode linear code values with transfer function const half DISPGAMMA = 2.4; const half L_W = 1.0; const half L_B = 0.0; half3 outputCV = linear_to_bt1886(linearCV, DISPGAMMA, L_W, L_B); // TODO: Implement support for legal range. // NOTE: Unity framebuffer encoding is encoded with sRGB opto-electrical transfer function (OETF) // by default which will result in double perceptual encoding, thus for now if one want to use // this ODT, he needs to decode its output with sRGB electro-optical transfer function (EOTF) to // compensate for Unity default behaviour. return outputCV; } // ODT.Academy.Rec2020_100nits_dim.a1.0.3 // ACES 1.0 Output - Rec.2020 // // Output Device Transform - Rec2020 // // // Summary : // This transform is intended for mapping OCES onto a Rec.2020 broadcast // monitor that is calibrated to a D65 white point at 100 cd/m^2. The assumed // observer adapted white is D65, and the viewing environment is that of a dim // surround. // // A possible use case for this transform would be UHDTV/video mastering. // // Device Primaries : // Primaries are those specified in Rec. ITU-R BT.2020 // CIE 1931 chromaticities: x y Y // Red: 0.708 0.292 // Green: 0.17 0.797 // Blue: 0.131 0.046 // White: 0.3127 0.329 100 cd/m^2 // // Display EOTF : // The reference electro-optical transfer function specified in // Rec. ITU-R BT.1886. // // Signal Range: // By default, this transform outputs full range code values. If instead a // SMPTE "legal" signal is desired, there is a runtime flag to output // SMPTE legal signal. In ctlrender, this can be achieved by appending // '-param1 legalRange 1' after the '-ctl odt.ctl' string. // // Assumed observer adapted white point: // CIE 1931 chromaticities: x y // 0.3127 0.329 // // Viewing Environment: // This ODT has a compensation for viewing environment variables more typical // of those associated with video mastering. // half3 ODT_Rec2020_100nits_dim(half3 oces) { // OCES to RGB rendering space half3 rgbPre = mul(AP0_2_AP1_MAT, oces); // Apply the tonescale independently in rendering-space RGB half3 rgbPost; rgbPost.x = segmented_spline_c9_fwd(rgbPre.x); rgbPost.y = segmented_spline_c9_fwd(rgbPre.y); rgbPost.z = segmented_spline_c9_fwd(rgbPre.z); // Scale luminance to linear code value half3 linearCV = Y_2_linCV(rgbPost, CINEMA_WHITE, CINEMA_BLACK); // Apply gamma adjustment to compensate for dim surround linearCV = darkSurround_to_dimSurround(linearCV); // Apply desaturation to compensate for luminance difference //linearCV = mul(ODT_SAT_MAT, linearCV); linearCV = lerp(dot(linearCV, AP1_RGB2Y).xxx, linearCV, ODT_SAT_FACTOR.xxx); // Convert to display primary encoding // Rendering space RGB to XYZ half3 XYZ = mul(AP1_2_XYZ_MAT, linearCV); // Apply CAT from ACES white point to assumed observer adapted white point XYZ = mul(D60_2_D65_CAT, XYZ); // CIE XYZ to display primaries linearCV = mul(XYZ_2_REC2020_MAT, XYZ); // Handle out-of-gamut values // Clip values < 0 or > 1 (i.e. projecting outside the display primaries) linearCV = saturate(linearCV); // Encode linear code values with transfer function const half DISPGAMMA = 2.4; const half L_W = 1.0; const half L_B = 0.0; half3 outputCV = linear_to_bt1886(linearCV, DISPGAMMA, L_W, L_B); // TODO: Implement support for legal range. // NOTE: Unity framebuffer encoding is encoded with sRGB opto-electrical transfer function (OETF) // by default which will result in double perceptual encoding, thus for now if one want to use // this ODT, he needs to decode its output with sRGB electro-optical transfer function (EOTF) to // compensate for Unity default behaviour. return outputCV; } // ODT.Academy.P3DCI_48nits.a1.0.3 // ACES 1.0 Output - P3-DCI // // Output Device Transform - P3DCI (D60 Simulation) // // // Summary : // This transform is intended for mapping OCES onto a P3 digital cinema // projector that is calibrated to a DCI white point at 48 cd/m^2. The assumed // observer adapted white is D60, and the viewing environment is that of a dark // theater. // // Device Primaries : // CIE 1931 chromaticities: x y Y // Red: 0.68 0.32 // Green: 0.265 0.69 // Blue: 0.15 0.06 // White: 0.314 0.351 48 cd/m^2 // // Display EOTF : // Gamma: 2.6 // // Assumed observer adapted white point: // CIE 1931 chromaticities: x y // 0.32168 0.33767 // // Viewing Environment: // Environment specified in SMPTE RP 431-2-2007 // half3 ODT_P3DCI_48nits(half3 oces) { // OCES to RGB rendering space half3 rgbPre = mul(AP0_2_AP1_MAT, oces); // Apply the tonescale independently in rendering-space RGB half3 rgbPost; rgbPost.x = segmented_spline_c9_fwd(rgbPre.x); rgbPost.y = segmented_spline_c9_fwd(rgbPre.y); rgbPost.z = segmented_spline_c9_fwd(rgbPre.z); // Scale luminance to linear code value half3 linearCV = Y_2_linCV(rgbPost, CINEMA_WHITE, CINEMA_BLACK); // --- Compensate for different white point being darker --- // // This adjustment is to correct an issue that exists in ODTs where the device // is calibrated to a white chromaticity other than D60. In order to simulate // D60 on such devices, unequal code values are sent to the display to achieve // neutrals at D60. In order to produce D60 on a device calibrated to the DCI // white point (i.e. equal code values yield CIE x,y chromaticities of 0.314, // 0.351) the red channel is higher than green and blue to compensate for the // "greenish" DCI white. This is the correct behavior but it means that as // highlight increase, the red channel will hit the device maximum first and // clip, resulting in a chromaticity shift as the green and blue channels // continue to increase. // To avoid this clipping error, a slight scale factor is applied to allow the // ODTs to simulate D60 within the D65 calibration white point. However, the // magnitude of the scale factor required for the P3DCI ODT was considered too // large. Therefore, the scale factor was reduced and the additional required // compression was achieved via a reshaping of the highlight rolloff in // conjunction with the scale. The shape of this rolloff was determined // throught subjective experiments and deemed to best reproduce the // "character" of the highlights in the P3D60 ODT. // Roll off highlights to avoid need for as much scaling const half NEW_WHT = 0.918; const half ROLL_WIDTH = 0.5; linearCV.x = roll_white_fwd(linearCV.x, NEW_WHT, ROLL_WIDTH); linearCV.y = roll_white_fwd(linearCV.y, NEW_WHT, ROLL_WIDTH); linearCV.z = roll_white_fwd(linearCV.z, NEW_WHT, ROLL_WIDTH); // Scale and clamp white to avoid casted highlights due to D60 simulation const half SCALE = 0.96; linearCV = min(linearCV, NEW_WHT) * SCALE; // Convert to display primary encoding // Rendering space RGB to XYZ half3 XYZ = mul(AP1_2_XYZ_MAT, linearCV); // CIE XYZ to display primaries linearCV = mul(XYZ_2_DCIP3_MAT, XYZ); // Handle out-of-gamut values // Clip values < 0 or > 1 (i.e. projecting outside the display primaries) linearCV = saturate(linearCV); // Encode linear code values with transfer function const half DISPGAMMA = 2.6; half3 outputCV = pow(linearCV, 1.0 / DISPGAMMA); // NOTE: Unity framebuffer encoding is encoded with sRGB opto-electrical transfer function (OETF) // by default which will result in double perceptual encoding, thus for now if one want to use // this ODT, he needs to decode its output with sRGB electro-optical transfer function (EOTF) to // compensate for Unity default behaviour. return outputCV; } #endif // __ACES__