#ifndef SRC_ACES_HLSL #define SRC_ACES_HLSL #include "Math.hlsl" #include "ColorGradingLUT.hlsl" // Copyright (c) 2014 Academy of Motion Picture Arts and Sciences ("A.M.P.A.S.") namespace ACES { // color conversion matrices static const float3x3 BT709_TO_XYZ_MAT = float3x3( 0.4123907993f, 0.3575843394f, 0.1804807884f, 0.2126390059f, 0.7151686788f, 0.0721923154f, 0.0193308187f, 0.1191947798f, 0.9505321522f); static const float3x3 XYZ_TO_BT709_MAT = float3x3( 3.2409699419f, -1.5373831776f, -0.4986107603f, -0.9692436363f, 1.8759675015f, 0.0415550574f, 0.0556300797f, -0.2039769589f, 1.0569715142f); static const float3x3 BT2020_TO_XYZ_MAT = float3x3( 0.6369580483f, 0.1446169036f, 0.1688809752f, 0.2627002120f, 0.6779980715f, 0.0593017165f, 0.0000000000f, 0.0280726930f, 1.0609850577f); static const float3x3 XYZ_TO_BT2020_MAT = float3x3( 1.7166511880f, -0.3556707838f, -0.2533662814f, -0.6666843518f, 1.6164812366f, 0.0157685458f, 0.0176398574f, -0.0427706133f, 0.9421031212f); static const float3x3 AP0_TO_XYZ_MAT = float3x3( 0.9525523959f, 0.0000000000f, 0.0000936786f, 0.3439664498f, 0.7281660966f, -0.0721325464f, 0.0000000000f, 0.0000000000f, 1.0088251844f); static const float3x3 XYZ_TO_AP0_MAT = float3x3( 1.0498110175f, 0.0000000000f, -0.0000974845f, -0.4959030231f, 1.3733130458f, 0.0982400361f, 0.0000000000f, 0.0000000000f, 0.9912520182f); static const float3x3 AP1_TO_XYZ_MAT = float3x3( 0.6624541811f, 0.1340042065f, 0.1561876870f, 0.2722287168f, 0.6740817658f, 0.0536895174f, -0.0055746495f, 0.0040607335f, 1.0103391003f); static const float3x3 XYZ_TO_AP1_MAT = float3x3( 1.6410233797f, -0.3248032942f, -0.2364246952f, -0.6636628587f, 1.6153315917f, 0.0167563477f, 0.0117218943f, -0.0082844420f, 0.9883948585f); // With Bradford (D60 to D65) static const float3x3 AP1_TO_BT709_MAT = float3x3( 1.7050509927, -0.6217921207, -0.0832588720, -0.1302564175, 1.1408047366, -0.0105483191, -0.0240033568, -0.1289689761, 1.1529723329); // With Bradford (D60 to D65) static const float3x3 AP1_TO_BT2020_MAT = float3x3( 1.0258247477f, -0.0200531908f, -0.0057715568f, -0.0022343695f, 1.0045865019f, -0.0023521324f, -0.0050133515f, -0.0252900718f, 1.0303034233f); // with Bradford (D60 to D65) static const float3x3 BT709_TO_AP1_MAT = float3x3( 0.6130974024, 0.3395231462, 0.0473794514, 0.0701937225, 0.9163538791, 0.0134523985, 0.0206155929, 0.1095697729, 0.8698146342); // with Bradford (D65 to D60) static const float3x3 BT2020_TO_AP1_MAT = float3x3( 0.9748949779f, 0.0195991086f, 0.0055059134f, 0.0021795628f, 0.9955354689f, 0.0022849683f, 0.0047972397f, 0.0245320166f, 0.9706707437f); // chromatic adaptation method: Von Kries // chromatic adaptation transform: Bradford static const float3x3 D65_TO_D60_CAT = float3x3( 1.01303493f, 0.00610525766f, -0.0149709433f, 0.00769822997f, 0.998163342f, -0.00503203831f, -0.00284131732f, 0.00468515651f, 0.924506127f); // chromatic adaptation method: Von Kries // chromatic adaptation transform: Bradford static const float3x3 D60_TO_D65_MAT = float3x3( 0.987223982f, -0.00611322838f, 0.0159532874f, -0.00759837171f, 1.00186145f, 0.00533003592f, 0.00307257706f, -0.00509596150f, 1.08168065f); static const float3x3 AP1_TO_BT709D60_MAT = mul(XYZ_TO_BT709_MAT, AP1_TO_XYZ_MAT); static const float3x3 AP1_TO_BT2020D60_MAT = mul(XYZ_TO_BT2020_MAT, AP1_TO_XYZ_MAT); static const float3x3 AP1_TO_AP1D65_MAT = mul(XYZ_TO_AP1_MAT, mul(D60_TO_D65_MAT, AP1_TO_XYZ_MAT)); static const float3x3 BT709_TO_AP0_MAT = mul(XYZ_TO_AP0_MAT, mul(D65_TO_D60_CAT, BT709_TO_XYZ_MAT)); static const float3x3 AP0_TO_AP1_MAT = mul(XYZ_TO_AP1_MAT, AP0_TO_XYZ_MAT); static const float3x3 AP1_TO_AP0_MAT = mul(XYZ_TO_AP0_MAT, AP1_TO_XYZ_MAT); static const float3 AP1_RGB2Y = AP1_TO_XYZ_MAT[1].rgb; static const float3x3 RRT_SAT_MAT = float3x3( 0.9708890, 0.0269633, 0.00214758, 0.0108892, 0.9869630, 0.00214758, 0.0108892, 0.0269633, 0.96214800); static const float3x3 ODT_SAT_MAT = float3x3( 0.949056, 0.0471857, 0.00375827, 0.019056, 0.9771860, 0.00375827, 0.019056, 0.0471857, 0.93375800); static const float3x3 M = float3x3( 0.5, -1.0, 0.5, -1.0, 1.0, 0.0, 0.5, 0.5, 0.0); float Rgb2Yc(float3 rgb) { const float yc_radius_weight = 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. float r = rgb[0]; float g = rgb[1]; float b = rgb[2]; float chroma = sqrt(b * (b - g) + g * (g - r) + r * (r - b)); return (b + g + r + yc_radius_weight * chroma) / 3.; } float Rgb2Saturation(float3 rgb) { float minrgb = min(min(rgb.r, rgb.g), rgb.b); float maxrgb = max(max(rgb.r, rgb.g), rgb.b); return (max(maxrgb, 1e-10) - max(minrgb, 1e-10)) / max(maxrgb, 1e-2); } // Sigmoid function in the range 0 to 1 spanning -2 to +2. float SigmoidShaper(float x) { float t = max(1 - abs(0.5 * x), 0); float y = 1 + sign(x) * (1 - t * t); return 0.5 * y; } float GlowFwd(float yc_in, float glow_gain_in, float glow_mid) { float glow_gain_out; if (yc_in <= 2.0 / 3.0 * glow_mid) { glow_gain_out = glow_gain_in; } else if (yc_in >= 2.0 * glow_mid) { glow_gain_out = 0; } else { glow_gain_out = glow_gain_in * (glow_mid / yc_in - 0.5); } return glow_gain_out; } // Transformations from RGB to other color representations float Rgb2Hue(float3 rgb) { const float aces_pi = 3.14159265359f; // 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. float hue; if (rgb.r == rgb.g && rgb.g == rgb.b) { hue = 0.0; // RGB triplets where RGB are equal have an undefined hue } else { hue = (180.0f / aces_pi) * atan2(sqrt(3.0f) * (rgb.g - rgb.b), 2.0f * rgb.r - rgb.g - rgb.b); } if (hue < 0.0f) { hue = hue + 360.0f; } return clamp(hue, 0, 360.f); } float CenterHue(float hue, float center_h) { float hue_centered = hue - center_h; if (hue_centered < -180.) { hue_centered += 360; } else if (hue_centered > 180.) { hue_centered -= 360; } return hue_centered; } float3 YToLinCV(float3 y, float y_max, float y_min) { return (y - y_min) / (y_max - y_min); } // Transformations between CIE XYZ tristimulus values and CIE x,y // chromaticity coordinates float3 XYZToXyY(float3 xyz) { float3 xy_y; float divisor = (xyz[0] + xyz[1] + xyz[2]); if (divisor == 0.f) divisor = 1e-10f; xy_y[0] = xyz[0] / divisor; xy_y[1] = xyz[1] / divisor; xy_y[2] = xyz[1]; return xy_y; } float3 XyYToXYZ(float3 xy_y) { float3 xyz; xyz[0] = xy_y[0] * xy_y[2] / max(xy_y[1], 1e-10); xyz[1] = xy_y[2]; xyz[2] = (1.0 - xy_y[0] - xy_y[1]) * xy_y[2] / max(xy_y[1], 1e-10); return xyz; } static const float DIM_SURROUND_GAMMA = 0.9811; float3 DarkToDim(float3 xyz, float dim_surround_gamma = DIM_SURROUND_GAMMA) { float3 xy_y = XYZToXyY(xyz); xy_y.z = clamp(xy_y.z, 0.0, 65504.0f); // Probably not very needed but it shouldn't hurt xy_y.z = pow(xy_y.z, DIM_SURROUND_GAMMA); return XyYToXYZ(xy_y); } static const float MIN_STOP_SDR = -6.5; static const float MAX_STOP_SDR = 6.5; static const float MIN_STOP_RRT = -15.0; static const float MAX_STOP_RRT = 18.0; static const float MIN_LUM_SDR = 0.02; static const float MAX_LUM_SDR = 48.0; static const float MIN_LUM_RRT = 0.0001; static const float MAX_LUM_RRT = 10000.0; static const float2x2 MIN_LUM_TABLE = float2x2( log10(MIN_LUM_RRT), MIN_STOP_RRT, log10(MIN_LUM_SDR), MIN_STOP_SDR); static const float2x2 MAX_LUM_TABLE = float2x2( log10(MAX_LUM_SDR), MAX_STOP_SDR, log10(MAX_LUM_RRT), MAX_STOP_RRT); float Interpolate1D(float2x2 table, float p) { if (p < table[0].x) { return table[0].y; } else if (p >= table[1].x) { return table[1].y; } else { // p = clamp(p, table[0].x, table[1].x); float s = (p - table[0].x) / (table[1].x - table[0].x); return table[0].y * (1 - s) + table[1].y * s; } } float3 LinCv2Y(float3 lin_cv, float y_max, float y_min) { return lin_cv * (y_max - y_min) + y_min; } float LookUpAcesMin(float min_lum_log10) { return 0.18 * exp2(Interpolate1D(MIN_LUM_TABLE, min_lum_log10)); } float LookUpAcesMax(float max_lum_log10) { return 0.18 * exp2(Interpolate1D(MAX_LUM_TABLE, max_lum_log10)); } float SSTS( float x, float3 y_min, float3 y_mid, float3 y_max, float3 coefs_low_a, float3 coefs_low_b, float3 coefs_high_a, float3 coefs_high_b) { static const uint N_KNOTS_LOW = 4; static const uint N_KNOTS_HIGH = 4; float coefs_low[6]; coefs_low[0] = coefs_low_a.x; coefs_low[1] = coefs_low_a.y; coefs_low[2] = coefs_low_a.z; coefs_low[3] = coefs_low_b.x; coefs_low[4] = coefs_low_b.y; coefs_low[5] = coefs_low_b.z; float coefs_high[6]; coefs_high[0] = coefs_high_a.x; coefs_high[1] = coefs_high_a.y; coefs_high[2] = coefs_high_a.z; coefs_high[3] = coefs_high_b.x; coefs_high[4] = coefs_high_b.y; coefs_high[5] = coefs_high_b.z; // Check for negatives or zero before taking the log. If negative or zero, // set to HALF_MIN. float log_x = log10(max(x, asfloat(0x00800000))); // FLT_MIN float log_y; if (log_x > y_max.x) { // Above max breakpoint (overshoot) // If MAX_PT slope is 0, this is just a straight line and always returns // maxLum // y = mx+b // log_y = computeGraphY(C.Max.z, log_x, (C.Max.y) - (C.Max.z * (C.Max.x))); log_y = y_max.y; } else if (log_x >= y_mid.x) { // Part of Midtones area (Must have slope) float knot_coord = (N_KNOTS_HIGH - 1) * (log_x - y_mid.x) / (y_max.x - y_mid.x); int j = knot_coord; float t = knot_coord - j; float3 cf = float3(coefs_high[j], coefs_high[j + 1], coefs_high[j + 2]); float3 monomials = float3(t * t, t, 1.0); log_y = dot(monomials, mul(M, cf)); } else if (log_x > y_min.x) { float knot_coord = (N_KNOTS_LOW - 1) * (log_x - y_min.x) / (y_mid.x - y_min.x); int j = knot_coord; float t = knot_coord - j; float3 cf = float3(coefs_low[j], coefs_low[j + 1], coefs_low[j + 2]); float3 monomials = float3(t * t, t, 1.0); log_y = dot(monomials, mul(M, cf)); } else { // (log_x <= (C.Min.x)) // Below min breakpoint (undershoot) // log_y = computeGraphY(C.Min.z, log_x, ((C.Min.y) - C.Min.z * (C.Min.x))); log_y = y_min.y; } return pow(10.0, log_y); } static const float LIM_CYAN = 1.147f; static const float LIM_MAGENTA = 1.264f; static const float LIM_YELLOW = 1.312f; static const float THR_CYAN = 0.815f; static const float THR_MAGENTA = 0.803f; static const float THR_YELLOW = 0.880f; static const float PWR = 1.2f; float GamutCompressChannel(float dist, float lim, float thr, float pwr) { float compr_dist; float scl; float nd; float p; if (dist < thr) { compr_dist = dist; // No compression below threshold } else { // Calculate scale factor for y = 1 intersect scl = (lim - thr) / pow(pow((1.0 - thr) / (lim - thr), -pwr) - 1.0, 1.0 / pwr); // Normalize distance outside threshold by scale factor nd = (dist - thr) / scl; p = pow(nd, pwr); compr_dist = thr + scl * nd / (pow(1.0 + p, 1.0 / pwr)); // Compress } return compr_dist; } float3 GamutCompress(float3 lin_ap1) { // Achromatic axis float ach = max(lin_ap1.r, max(lin_ap1.g, lin_ap1.b)); float abs_ach = abs(ach); // Distance from the achromatic axis for each color component aka inverse RGB ratios float3 dist = (ach != 0.f) ? (ach - lin_ap1) / abs_ach : 0; // Compress distance with parameterized shaper function float3 compr_dist = float3( GamutCompressChannel(dist.r, LIM_CYAN, THR_CYAN, PWR), GamutCompressChannel(dist.g, LIM_MAGENTA, THR_MAGENTA, PWR), GamutCompressChannel(dist.b, LIM_YELLOW, THR_YELLOW, PWR)); // Recalculate RGB from compressed distance and achromatic float3 compr_lin_ap1 = ach - compr_dist * abs_ach; return compr_lin_ap1; } // Input AP0 // Output AP1 float3 RRT(float3 aces) { // --- Glow module --- // // "Glow" module constants static const float RRT_GLOW_GAIN = 0.05; static const float RRT_GLOW_MID = 0.08; float saturation = Rgb2Saturation(aces); float yc_in = Rgb2Yc(aces); const float s = SigmoidShaper((saturation - 0.4) / 0.2); float added_glow = 1.0 + GlowFwd(yc_in, RRT_GLOW_GAIN * s, RRT_GLOW_MID); aces *= added_glow; // --- Red modifier --- // // Red modifier constants static const float RRT_RED_SCALE = 0.82; static const float RRT_RED_PIVOT = 0.03; static const float RRT_RED_HUE = 0.; static const float RRT_RED_WIDTH = 135.; float hue = Rgb2Hue(aces); const float centered_hue = CenterHue(hue, RRT_RED_HUE); float hue_weight; { // hueWeight = cubic_basis_shaper(centeredHue, RRT_RED_WIDTH); hue_weight = smoothstep(0.0, 1.0, 1.0 - abs(2.0 * centered_hue / RRT_RED_WIDTH)); hue_weight *= hue_weight; } aces.r += hue_weight * saturation * (RRT_RED_PIVOT - aces.r) * (1.0 - RRT_RED_SCALE); // --- ACES to RGB rendering space --- // // aces = clamp(aces, 0, 65535.0f); float3 rgb_pre = mul(AP0_TO_AP1_MAT, aces); // rgb_pre = clamp(rgb_pre, 0, 65504.0f); // --- Global desaturation --- // // rgbPre = mul(RRT_SAT_MAT, rgbPre); static const float RRT_SAT_FACTOR = 0.96f; rgb_pre = lerp(dot(rgb_pre, AP1_RGB2Y), rgb_pre, RRT_SAT_FACTOR); return rgb_pre; } float ODTToneMap(float x_pre, float min_y, float max_y) { const float min_lum = min_y; const float max_lum = max_y; // Aces-dev has more expensive version // AcesParams PARAMS = init_aces_params(minY, maxY); static const float2x2 BENDS_LOW_TABLE = float2x2( MIN_STOP_RRT, 0.18, MIN_STOP_SDR, 0.35); static const float2x2 BENDS_HIGH_TABLE = float2x2( MAX_STOP_SDR, 0.89, MAX_STOP_RRT, 0.90); float min_lum_log10 = log10(min_lum); float max_lum_log10 = log10(max_lum); const float aces_min = LookUpAcesMin(min_lum_log10); const float aces_max = LookUpAcesMax(max_lum_log10); // float3 MIN_PT = float3(lookup_ACESmin(minLum), minLum, 0.0); static const float3 MID_PT = float3(0.18, 4.8, 1.55); // float3 MAX_PT = float3(lookup_ACESmax(maxLum), maxLum, 0.0); // float coefs_low[5]; // float coefs_high[5]; float3 coefs_low_a; float3 coefs_low_b; float3 coefs_high_a; float3 coefs_high_b; float2 log_min = float2(log10(aces_min), min_lum_log10); static const float2 LOG_MID = float2(log10(MID_PT.xy)); float2 log_max = float2(log10(aces_max), max_lum_log10); float knot_inc_low = (LOG_MID.x - log_min.x) / 3.0; // float halfKnotInc = (logMid.x - log_min.x) / 6.0; // Determine two lowest coefficients (straddling minPt) // coefs_low[0] = (MIN_PT.z * (log_min.x- 0.5 * knot_inc_low)) + ( log_min.y - MIN_PT.z * log_min.x); // coefs_low[1] = (MIN_PT.z * (log_min.x+ 0.5 * knot_inc_low)) + ( log_min.y - MIN_PT.z * log_min.x); // NOTE: if slope=0, then the above becomes just coefs_low_a.x = log_min.y; coefs_low_a.y = coefs_low_a.x; // leaving it as a variable for now in case we decide we need non-zero slope extensions // Determine two highest coefficients (straddling midPt) float min_coef = LOG_MID.y - MID_PT.z * LOG_MID.x; coefs_low_b.x = (MID_PT.z * (LOG_MID.x - 0.5 * knot_inc_low)) + (LOG_MID.y - MID_PT.z * LOG_MID.x); coefs_low_b.y = (MID_PT.z * (LOG_MID.x + 0.5 * knot_inc_low)) + (LOG_MID.y - MID_PT.z * LOG_MID.x); coefs_low_b.z = coefs_low_b.y; // Middle coefficient (which defines the "sharpness of the bend") is linearly interpolated float pct_low = Interpolate1D(BENDS_LOW_TABLE, log2(aces_min / 0.18)); coefs_low_a.z = log_min.y + pct_low * (LOG_MID.y - log_min.y); float knot_inc_high = (log_max.x - LOG_MID.x) / 3.0; // float halfKnotInc = (log_max.x - logMid.x) / 6.0; // Determine two lowest coefficients (straddling midPt) // float minCoef = ( logMid.y - MID_PT.z * logMid.x); coefs_high_a.x = (MID_PT.z * (LOG_MID.x - 0.5 * knot_inc_high)) + min_coef; coefs_high_a.y = (MID_PT.z * (LOG_MID.x + 0.5 * knot_inc_high)) + min_coef; // Determine two highest coefficients (straddling maxPt) // coefs_high[3] = (MAX_PT.z * (log_max.x-0.5*knotIncHigh)) + ( log_max.y - MAX_PT.z * log_max.x); // coefs_high[4] = (MAX_PT.z * (log_max.x+0.5*knotIncHigh)) + ( log_max.y - MAX_PT.z * log_max.x); // NOTE: if slope=0, then the above becomes just coefs_high_b.x = log_max.y; coefs_high_b.y = coefs_high_b.x; coefs_high_b.z = coefs_high_b.y; // leaving it as a variable for now in case we decide we need non-zero slope extensions // Middle coefficient (which defines the "sharpness of the bend") is linearly interpolated float pct_high = Interpolate1D(BENDS_HIGH_TABLE, log2(aces_max / 0.18)); coefs_high_a.z = LOG_MID.y + pct_high * (log_max.y - LOG_MID.y); float x_post = SSTS(x_pre, float3(log_min.x, log_min.y, 0), float3(LOG_MID.x, LOG_MID.y, MID_PT.z), float3(log_max.x, log_max.y, 0), coefs_low_a, coefs_low_b, coefs_high_a, coefs_high_b); return x_post; } float3 ODTToneMap(float3 rgb_pre, float min_y, float max_y, bool dark_to_dim = false, bool legacy_desat = false) { const float min_lum = min_y; const float max_lum = max_y; // Aces-dev has more expensive version // AcesParams PARAMS = init_aces_params(minY, maxY); static const float2x2 BENDS_LOW_TABLE = float2x2( MIN_STOP_RRT, 0.18, MIN_STOP_SDR, 0.35); static const float2x2 BENDS_HIGH_TABLE = float2x2( MAX_STOP_SDR, 0.89, MAX_STOP_RRT, 0.90); float min_lum_log10 = log10(min_lum); float max_lum_log10 = log10(max_lum); const float aces_min = LookUpAcesMin(min_lum_log10); const float aces_max = LookUpAcesMax(max_lum_log10); // float3 MIN_PT = float3(lookup_ACESmin(minLum), minLum, 0.0); static const float3 MID_PT = float3(0.18, 4.8, 1.55); // float3 MAX_PT = float3(lookup_ACESmax(maxLum), maxLum, 0.0); // float coefs_low[5]; // float coefs_high[5]; float3 coefs_low_a; float3 coefs_low_b; float3 coefs_high_a; float3 coefs_high_b; float2 log_min = float2(log10(aces_min), min_lum_log10); static const float2 LOG_MID = float2(log10(MID_PT.xy)); float2 log_max = float2(log10(aces_max), max_lum_log10); float knot_inc_low = (LOG_MID.x - log_min.x) / 3.0; // float halfKnotInc = (logMid.x - log_min.x) / 6.0; // Determine two lowest coefficients (straddling minPt) // coefs_low[0] = (MIN_PT.z * (log_min.x- 0.5 * knot_inc_low)) + ( log_min.y - MIN_PT.z * log_min.x); // coefs_low[1] = (MIN_PT.z * (log_min.x+ 0.5 * knot_inc_low)) + ( log_min.y - MIN_PT.z * log_min.x); // NOTE: if slope=0, then the above becomes just coefs_low_a.x = log_min.y; coefs_low_a.y = coefs_low_a.x; // leaving it as a variable for now in case we decide we need non-zero slope extensions // Determine two highest coefficients (straddling midPt) float min_coef = LOG_MID.y - MID_PT.z * LOG_MID.x; coefs_low_b.x = (MID_PT.z * (LOG_MID.x - 0.5 * knot_inc_low)) + (LOG_MID.y - MID_PT.z * LOG_MID.x); coefs_low_b.y = (MID_PT.z * (LOG_MID.x + 0.5 * knot_inc_low)) + (LOG_MID.y - MID_PT.z * LOG_MID.x); coefs_low_b.z = coefs_low_b.y; // Middle coefficient (which defines the "sharpness of the bend") is linearly interpolated float pct_low = Interpolate1D(BENDS_LOW_TABLE, log2(aces_min / 0.18)); coefs_low_a.z = log_min.y + pct_low * (LOG_MID.y - log_min.y); float knot_inc_high = (log_max.x - LOG_MID.x) / 3.0; // float halfKnotInc = (log_max.x - logMid.x) / 6.0; // Determine two lowest coefficients (straddling midPt) // float minCoef = ( logMid.y - MID_PT.z * logMid.x); coefs_high_a.x = (MID_PT.z * (LOG_MID.x - 0.5 * knot_inc_high)) + min_coef; coefs_high_a.y = (MID_PT.z * (LOG_MID.x + 0.5 * knot_inc_high)) + min_coef; // Determine two highest coefficients (straddling maxPt) // coefs_high[3] = (MAX_PT.z * (log_max.x-0.5*knotIncHigh)) + ( log_max.y - MAX_PT.z * log_max.x); // coefs_high[4] = (MAX_PT.z * (log_max.x+0.5*knotIncHigh)) + ( log_max.y - MAX_PT.z * log_max.x); // NOTE: if slope=0, then the above becomes just coefs_high_b.x = log_max.y; coefs_high_b.y = coefs_high_b.x; coefs_high_b.z = coefs_high_b.y; // leaving it as a variable for now in case we decide we need non-zero slope extensions // Middle coefficient (which defines the "sharpness of the bend") is linearly interpolated float pct_high = Interpolate1D(BENDS_HIGH_TABLE, log2(aces_max / 0.18)); coefs_high_a.z = LOG_MID.y + pct_high * (log_max.y - LOG_MID.y); float3 rgb_post = float3( SSTS(rgb_pre.x, float3(log_min.x, log_min.y, 0), float3(LOG_MID.x, LOG_MID.y, MID_PT.z), float3(log_max.x, log_max.y, 0), coefs_low_a, coefs_low_b, coefs_high_a, coefs_high_b), SSTS(rgb_pre.y, float3(log_min.x, log_min.y, 0), float3(LOG_MID.x, LOG_MID.y, MID_PT.z), float3(log_max.x, log_max.y, 0), coefs_low_a, coefs_low_b, coefs_high_a, coefs_high_b), SSTS(rgb_pre.z, float3(log_min.x, log_min.y, 0), float3(LOG_MID.x, LOG_MID.y, MID_PT.z), float3(log_max.x, log_max.y, 0), coefs_low_a, coefs_low_b, coefs_high_a, coefs_high_b)); // Apply gamma adjustment to compensate for dim surround (this isn't great, and it's only meant to be done in SDR) if (dark_to_dim) { rgb_post = mul(XYZ_TO_AP1_MAT, DarkToDim(mul(AP1_TO_XYZ_MAT, rgb_post))); } // Apply desaturation to compensate for luminance difference // rgb_post = mul(ODT_SAT_MAT, rgb_post); static const float ODT_SAT_FACTOR = 0.93f; if (legacy_desat) { rgb_post = lerp(dot(rgb_post, AP1_RGB2Y), rgb_post, ODT_SAT_FACTOR); } // Broken deprecated path // Nits to Linear // float3 linear_cv = YToLinCV(rgb_post, max_y, min_y); // return clamp(linear_cv, 0.0, 65535.0f); // rgb_post = clamp(rgb_post, 0.0, 65535.0f); return rgb_post; } // Input AP1 // Output BT.709 (by default) // This does filmic tonemapping and adapts the brightness range and gamut to the display float3 ODT(float3 rgb_pre, float min_y, float max_y, bool dark_to_dim = false, bool legacy_desat = false, float3x3 odt_matrix = AP1_TO_BT709_MAT) { float3 tonescaled = ODTToneMap(rgb_pre, min_y, max_y, dark_to_dim, legacy_desat); float3 output_color = mul(odt_matrix, tonescaled); return output_color; } float3 RRTAndODT(float3 color, float min_y, float max_y, bool dark_to_dim = false, bool legacy_desat = false, float3x3 input_to_ap0_matrix = BT709_TO_AP0_MAT, float3x3 ap1_to_output_matrix = AP1_TO_BT709_MAT) { color = mul(input_to_ap0_matrix, color); color = RRT(color); color = ODT(color, min_y, max_y, dark_to_dim, legacy_desat, ap1_to_output_matrix); return color; } // ACES 1.3 for Scene-Linear BT.709 (by default) with: // Reference Gamut Compression // Reference Rendering Transform // Output Display Transform float3 RGCAndRRTAndODT(float3 color, float min_y, float max_y, bool gamut_compress = false, bool dark_to_dim = false, bool legacy_desat = false, float3x3 input_to_ap1_matrix = BT709_TO_AP1_MAT, float3x3 ap1_to_output_matrix = AP1_TO_BT709_MAT) { color = mul(input_to_ap1_matrix, color); // Input => AP1 if (gamut_compress) { color = GamutCompress(color); // Compresses to AP1 } color = mul(AP1_TO_AP0_MAT, color); // AP1 => AP0 color = RRT(color); // RRT + AP0 => AP1 color = ODT(color, min_y, max_y, dark_to_dim, legacy_desat, ap1_to_output_matrix); // ODT AP1 => Output return color; } } struct ACESSettings { // 0.18 input maps to 0.1 output in ACES, this can help you scale it so that mid grey isn't kept as pivot (it's an approximate scale, in and out aren't mirrored) float mid_grey; // Needed if your colors are beyond AP1 (rare in games) bool gamut_compress; // Adapts colors for a perfectly dark viewing environment to a dim one (some ACES implementations do this, so it might be good to replicate it) bool dark_to_dim; // This was only a thing before they implemented SSTS in ACES 1.3 or so, though with some older approximate ACES implementations like Unity, // this new version of ACES can look more similar to it. It still stays more saturated anyway! bool legacy_desat; float3x3 input_to_ap1_matrix; float3x3 ap1_to_output_matrix; }; ACESSettings DefaultACESSettings() { ACESSettings settings; settings.mid_grey = 0.1; settings.gamut_compress = false; settings.dark_to_dim = false; settings.legacy_desat = false; settings.input_to_ap1_matrix = ACES::BT709_TO_AP1_MAT; settings.ap1_to_output_matrix = ACES::AP1_TO_BT709_MAT; return settings; } float3 ACESTonemap(float3 color, float paper_white, float peak_white, ACESSettings settings /*= DefaultACESSettings()*/) { static const float ACES_MIN = 0.0001f; // The output still seemengly reaches 0 nits with this, though some of it might get clipped //TODO: check etc static const float ACES_SDR_NITS = 48.f; float mid_gray_scale = 0.18f / settings.mid_grey; //TODO: check float aces_min = ACES_MIN / paper_white; float aces_max = peak_white / paper_white; // Apply the inverse of the final gamma correction to the min nits parameter, to have it reliably set aces_min = ColorGradingLUTTransferFunctionOutCorrected(aces_min, GAMMA_CORRECTION_TYPE, VANILLA_ENCODING_TYPE).x; aces_max /= mid_gray_scale; aces_min /= mid_gray_scale; color = ACES::RGCAndRRTAndODT(color, aces_min * ACES_SDR_NITS, aces_max * ACES_SDR_NITS, settings.gamut_compress, settings.dark_to_dim, settings.legacy_desat, settings.input_to_ap1_matrix, settings.ap1_to_output_matrix) / ACES_SDR_NITS; color *= mid_gray_scale; return color; } #endif