From d2189954f1a246a471a486022f048c843040ca72 Mon Sep 17 00:00:00 2001 From: yash <46472705+yashbutno@users.noreply.github.com> Date: Sat, 15 Jan 2022 12:24:39 +0530 Subject: [PATCH] A folder for source code; README updates. --- README.md | 22 +- images/oklab-comparison-gradients.png | Bin 0 -> 65617 bytes images/oklab-comparison-palettes.png | Bin 0 -> 52104 bytes images/oklab-for-processing-title.png | Bin 0 -> 78374 bytes images/oklab-purple-gradient.png | Bin 0 -> 13980 bytes source code/yash/oklab/Ok.java | 1036 +++++++++++++++++++++++++ 6 files changed, 1057 insertions(+), 1 deletion(-) create mode 100644 images/oklab-comparison-gradients.png create mode 100644 images/oklab-comparison-palettes.png create mode 100644 images/oklab-for-processing-title.png create mode 100644 images/oklab-purple-gradient.png create mode 100644 source code/yash/oklab/Ok.java diff --git a/README.md b/README.md index 0e021c6..31ebc46 100644 --- a/README.md +++ b/README.md @@ -1,3 +1,23 @@ +## Oklab for Processing. + +Translated (with added functions) by Yash Gupta to Processing code, from the file ['colorconversion.js' on GitHub](https://github.com/bottosson/bottosson.github.io/blob/master/misc/colorpicker/colorconversion.js) by [Björn Ottosson](https://bottosson.github.io/). + +![Oklab for Processing](../master/images/oklab-for-processing-title.png) + +Perceptually-accurate and human-friendly color picking using the Oklab color space. + +This library includes a small collection of functions to help you pick colors with perceptual accuracy using Björn Ottosson's Oklab color space. This works in contrast to generating colors using RGB or HSB values, in which similar difference in input values don't represent similar difference in color output. + +## Download [here.](https://github.com/yashbutno/Oklab-for-Processing/blob/master/download/OklabForProcessing.zip) + +### Examples + +![Comparison of smooth gradients as generated by Processing's default color functions versus Oklab-for-Processing's color functions.](../master/images/oklab-comparison-gradients.png) + +![Comparison of color palettes as generated by Processing's default color functions versus Oklab-for-Processing's color functions.](../master/images/oklab-comparison-palettes.png) + +![A purple hue-gradient with constant luminosity, generated by Oklab-for-Processing's Ok.HSL function.](../master/images/oklab-purple-gradient.png) + ## How to install Oklab for Processing ### Install with the Contribution Manager @@ -35,4 +55,4 @@ Some folders like `examples` or `src` might be missing. After Library Oklab for ### Troubleshooting -If you're having trouble, have a look at the [Processing Wiki](https://github.com/processing/processing/wiki/How-to-Install-a-Contributed-Library) for more information, or contact the author [Yash Gupta](https://refuse.ink/). +If you're having trouble, have a look at the [Processing Wiki](https://github.com/processing/processing/wiki/How-to-Install-a-Contributed-Library) for more information, or contact the author [Yash Gupta](https://github.com/yashbutno). diff --git a/images/oklab-comparison-gradients.png b/images/oklab-comparison-gradients.png new file mode 100644 index 0000000000000000000000000000000000000000..edc65e587b1db64058535fb9f2d67504290c0fe4 GIT binary patch literal 65617 zcmeFZXH-;K*ENbcfrywDP!LdZ&OsXx5DJt`kt9hdg5(@pZ4pV5Gl)tmD3DO(WRtT3 zMUjy#S#pNE4*ERrpZnvx_s1RMj`1=^w*qC=IeV|Y)?9PWb$p*FNRyqtah8OHgiKaO zQi+7*ls5^@H0(7{@{w+)O<%&bId7fUN?Z<`s3(yH^KI8ZMnj7`mCTy2e&T@_ReT``7&MzrE$XGNTa 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+// } + +// private static float[] hsl_to_rgb(float h, float s, float l) { +// float r, g, b; +// +// if (s == 0) { +// r = g = b = l; +// } else { +// float q = l < 0.5 ? l * (1 + s) : l + s - l * s; +// float p = 2 * l - q; +// r = hue_to_rgb(p, q, h + 1 / 3); +// g = hue_to_rgb(p, q, h); +// b = hue_to_rgb(p, q, h - 1 / 3); +// } +// +// float[] returned = { r * 255, g * 255, b * 255 }; +// +// return returned; +// } + +// private static float hue_to_rgb(float p, float q, float t) { +// if (t < 0) { +// t += 1; +// } +// if (t > 1) { +// t -= 1; +// } +// if (t < 1 / 6) { +// return p + (q - p) * 6 * t; +// } +// if (t < 1 / 2) { +// return q; +// } +// if (t < 2 / 3) { +// return p + (q - p) * (2 / 3 - t) * 6; +// } +// return p; +// } + + private static float[] rgb_to_hsv(float r, float g, float b) { + r = r / 255; + g = g / 255; + b = b / 255; + + float max = Math.max(r, Math.max(g, b)); + float min = Math.min(r, Math.max(g, b)); + float h = 0.0f, s = 0.0f; + float v = max; + + float d = max - min; + s = max == 0 ? 0 : d / max; + + if (max == min) { + h = 0; // achromatic + } else { + if (max == r) { + h = (g - b) / d + (g < b ? 6 : 0); + } else if (max == g) { + h = (b - r) / d + 2; + } else if (max == g) { + h = (r - g) / d + 4; + } + h /= 6; + } + + float[] returned = { h, s, v }; + + return returned; + } + +// private static float[] hsv_to_rgb(float h, float s, float v) { +// float r = 0, g = 0, b = 0; +// +// float i = PApplet.floor(h * 6); +// float f = h * 6 - i; +// float p = v * (1 - s); +// float q = v * (1 - f * s); +// float t = v * (1 - (1 - f) * s); +// +// if (i % 6 == 0) { +// r = v; +// g = t; +// b = p; +// } else if (i % 6 == 1) { +// r = q; +// g = v; +// b = p; +// } else if (i % 6 == 2) { +// r = p; +// g = v; +// b = t; +// } else if (i % 6 == 3) { +// r = p; +// g = q; +// b = v; +// } else if (i % 6 == 4) { +// r = t; +// g = p; +// b = v; +// } else if (i % 6 == 5) { +// r = v; +// g = p; +// b = q; +// } +// +// float[] returned = { r * 255, g * 255, b * 255 }; +// +// return returned; +// } + + private static float srgb_transfer_function(float a) { + return (float) (.0031308 >= a ? 12.92 * a : 1.055 * Math.pow(a, .4166666666666667) - .055); + } + + private static float srgb_transfer_function_inv(float a) { + return (float) (.04045 < a ? Math.pow((a + .055) / 1.055, 2.4) : a / 12.92); + } + + private static float[] linear_srgb_to_oklab(float r, float g, float b) { + float l = 0.4122214708f * r + 0.5363325363f * g + 0.0514459929f * b; + float m = 0.2119034982f * r + 0.6806995451f * g + 0.1073969566f * b; + float s = 0.0883024619f * r + 0.2817188376f * g + 0.6299787005f * b; + + float l_ = (float) (Math.cbrt(l)); + float m_ = (float) (Math.cbrt(m)); + float s_ = (float) (Math.cbrt(s)); + + float[] returned = { 0.2104542553f * ((float) l_) + 0.7936177850f * ((float) m_) - 0.0040720468f * ((float) s_), + 1.9779984951f * ((float) l_) - 2.4285922050f * ((float) m_) + 0.4505937099f * ((float) s_), + 0.0259040371f * ((float) l_) + 0.7827717662f * ((float) m_) - 0.8086757660f * ((float) s_) }; + + return returned; + } + + private static float[] oklab_to_linear_srgb(float L, float a, float b) { + + float l_ = L + 0.3963377774f * a + 0.2158037573f * b; + float m_ = L - 0.1055613458f * a - 0.0638541728f * b; + float s_ = L - 0.0894841775f * a - 1.2914855480f * b; + + float l = l_ * l_ * l_; + float m = m_ * m_ * m_; + float s = s_ * s_ * s_; + + float[] returned = { (+4.0767416621f * l - 3.3077115913f * m + 0.2309699292f * s), + (-1.2684380046f * l + 2.6097574011f * m - 0.3413193965f * s), + (-0.0041960863f * l - 0.7034186147f * m + 1.7076147010f * s) }; + + return returned; + } + + private static float toe(float x) { + final float k_1 = 0.206f; + final float k_2 = 0.03f; + final float k_3 = (1 + k_1) / (1 + k_2); + + return (float) (0.5 * (k_3 * x - k_1 + Math.sqrt((k_3 * x - k_1) * (k_3 * x - k_1) + 4 * k_2 * k_3 * x))); + } + + private static float toe_inv(float x) { + final float k_1 = 0.206f; + final float k_2 = 0.03f; + final float k_3 = (1 + k_1) / (1 + k_2); + return (x * x + k_1 * x) / (k_3 * (x + k_2)); + } + + // Finds the maximum saturation possible for a given hue that fits in sRGB + // Saturation here is defined as S = C/L + // a and b must be normalized so a^2 + b^2 == 1 + private static float compute_max_saturation(float a, float b) { + // Max saturation will be when one of r, g or b goes below zero. + + // Select different coefficients depending on which component goes below zero + // first + float k0, k1, k2, k3, k4, wl, wm, ws; + + if (-1.88170328 * a - 0.80936493 * b > 1) { + // Red component + k0 = +1.19086277f; + k1 = +1.76576728f; + k2 = +0.59662641f; + k3 = +0.75515197f; + k4 = +0.56771245f; + wl = +4.0767416621f; + wm = -3.3077115913f; + ws = +0.2309699292f; + } else if (1.81444104 * a - 1.19445276 * b > 1) { + // Green component + k0 = +0.73956515f; + k1 = -0.45954404f; + k2 = +0.08285427f; + k3 = +0.12541070f; + k4 = +0.14503204f; + wl = -1.2684380046f; + wm = +2.6097574011f; + ws = -0.3413193965f; + } else { + // Blue component + k0 = +1.35733652f; + k1 = -0.00915799f; + k2 = -1.15130210f; + k3 = -0.50559606f; + k4 = +0.00692167f; + wl = -0.0041960863f; + wm = -0.7034186147f; + ws = +1.7076147010f; + } + + // Approximate max saturation using a polynomial: + float S = k0 + k1 * a + k2 * b + k3 * a * a + k4 * a * b; + + // Do one step Halley's method to get closer + // this gives an error less than 10e6, except for some blue hues where the dS/dh + // is close to infinite + // this should be sufficient for most applications, otherwise do two/three steps + + float k_l = +0.3963377774f * a + 0.2158037573f * b; + float k_m = -0.1055613458f * a - 0.0638541728f * b; + float k_s = -0.0894841775f * a - 1.2914855480f * b; + + { + float l_ = 1 + S * k_l; + float m_ = 1 + S * k_m; + float s_ = 1 + S * k_s; + + float l = l_ * l_ * l_; + float m = m_ * m_ * m_; + float s = s_ * s_ * s_; + + float l_dS = 3 * k_l * l_ * l_; + float m_dS = 3 * k_m * m_ * m_; + float s_dS = 3 * k_s * s_ * s_; + + float l_dS2 = 6 * k_l * k_l * l_; + float m_dS2 = 6 * k_m * k_m * m_; + float s_dS2 = 6 * k_s * k_s * s_; + + float f = wl * l + wm * m + ws * s; + float f1 = wl * l_dS + wm * m_dS + ws * s_dS; + float f2 = wl * l_dS2 + wm * m_dS2 + ws * s_dS2; + + S = S - f * f1 / (f1 * f1 - 0.5f * f * f2); + } + + return S; + } + + private static float[] find_cusp(float a, float b) { + // First, find the maximum saturation (saturation S = C/L) + float S_cusp = compute_max_saturation(a, b); + + // Convert to linear sRGB to find the first point where at least one of r,g or b + // >= 1: + float[] rgb_at_max = oklab_to_linear_srgb(1, S_cusp * a, S_cusp * b); + float L_cusp = (float) (Math.cbrt(1 / Math.max(Math.max(rgb_at_max[0], rgb_at_max[1]), rgb_at_max[2]))); + float C_cusp = L_cusp * S_cusp; + + float[] returned = { L_cusp, C_cusp }; + + return returned; + } + + // Finds intersection of the line defined by + // L = L0 * (1 - t) + t * L1; + // C = t * C1; + // a and b must be normalized so a^2 + b^2 == 1 + private static float find_gamut_intersection(float a, float b, float L1, float C1, float L0, float[] cusp) { + if (cusp == null) { + // Find the cusp of the gamut triangle + cusp = find_cusp(a, b); + } + + // Find the intersection for upper and lower half seprately + float t; + if (((L1 - L0) * cusp[1] - (cusp[0] - L0) * C1) <= 0) { + // Lower half + + t = cusp[1] * L0 / (C1 * cusp[0] + cusp[1] * (L0 - L1)); + } else { + // Upper half + + // First intersect with triangle + t = cusp[1] * (L0 - 1) / (C1 * (cusp[0] - 1) + cusp[1] * (L0 - L1)); + + // Then one step Halley's method + { + float dL = L1 - L0; + float dC = C1; + + float k_l = +0.3963377774f * a + 0.2158037573f * b; + float k_m = -0.1055613458f * a - 0.0638541728f * b; + float k_s = -0.0894841775f * a - 1.2914855480f * b; + + float l_dt = dL + dC * k_l; + float m_dt = dL + dC * k_m; + float s_dt = dL + dC * k_s; + + // If higher accuracy is required, 2 or 3 iterations of the following block can + // be used: + { + float L = L0 * (1 - t) + t * L1; + float C = t * C1; + + float l_ = L + C * k_l; + float m_ = L + C * k_m; + float s_ = L + C * k_s; + + float l = l_ * l_ * l_; + float m = m_ * m_ * m_; + float s = s_ * s_ * s_; + + float ldt = 3 * l_dt * l_ * l_; + float mdt = 3 * m_dt * m_ * m_; + float sdt = 3 * s_dt * s_ * s_; + + float ldt2 = 6 * l_dt * l_dt * l_; + float mdt2 = 6 * m_dt * m_dt * m_; + float sdt2 = 6 * s_dt * s_dt * s_; + + float r = 4.0767416621f * l - 3.3077115913f * m + 0.2309699292f * s - 1; + float r1 = 4.0767416621f * ldt - 3.3077115913f * mdt + 0.2309699292f * sdt; + float r2 = 4.0767416621f * ldt2 - 3.3077115913f * mdt2 + 0.2309699292f * sdt2; + + float u_r = r1 / (r1 * r1 - 0.5f * r * r2); + float t_r = -r * u_r; + + float g = -1.2684380046f * l + 2.6097574011f * m - 0.3413193965f * s - 1; + float g1 = -1.2684380046f * ldt + 2.6097574011f * mdt - 0.3413193965f * sdt; + float g2 = -1.2684380046f * ldt2 + 2.6097574011f * mdt2 - 0.3413193965f * sdt2; + + float u_g = g1 / (g1 * g1 - 0.5f * g * g2); + float t_g = -g * u_g; + + b = -0.0041960863f * l - 0.7034186147f * m + 1.7076147010f * s - 1; + float b1 = -0.0041960863f * ldt - 0.7034186147f * mdt + 1.7076147010f * sdt; + float b2 = -0.0041960863f * ldt2 - 0.7034186147f * mdt2 + 1.7076147010f * sdt2; + + float u_b = b1 / (b1 * b1 - 0.5f * b * b2); + float t_b = -b * u_b; + + t_r = u_r >= 0 ? t_r : 10e5f; + t_g = u_g >= 0 ? t_g : 10e5f; + t_b = u_b >= 0 ? t_b : 10e5f; + + t += Math.min(t_r, Math.min(t_g, t_b)); + } + } + } + + return t; + } + + private static float[] get_ST_max(float a_, float b_, float[] cusp) { + if (cusp == null) { + cusp = find_cusp(a_, b_); + } + + float L = cusp[0]; + float C = cusp[1]; + + float[] returned = { C / L, C / (1 - L) }; + return returned; + } + +// private static float[] get_ST_mid(float a_, float b_) { +// float S = 0.11516993f + 1 / (+7.44778970f + 4.15901240f * b_ + a_ * (-2.19557347f + 1.75198401f * b_ +// + a_ * (-2.13704948f - 10.02301043f * b_ + a_ * (-4.24894561f + 5.38770819f * b_ + 4.69891013f * a_)))); +// +// float T = 0.11239642f + 1 / (+1.61320320f - 0.68124379f * b_ + a_ * (+0.40370612f + 0.90148123f * b_ +// + a_ * (-0.27087943f + 0.61223990f * b_ + a_ * (+0.00299215f - 0.45399568f * b_ - 0.14661872f * a_)))); +// +// float[] returned = { S, T }; +// +// return returned; +// } + + private static float[] get_Cs(float L, float a_, float b_) { + float[] cusp = find_cusp(a_, b_); + + float C_max = find_gamut_intersection(a_, b_, L, 1, L, cusp); + float[] ST_max = get_ST_max(a_, b_, cusp); + + float S_mid = 0.11516993f + 1 / (+7.44778970f + 4.15901240f * b_ + a_ * (-2.19557347f + 1.75198401f * b_ + + a_ * (-2.13704948f - 10.02301043f * b_ + a_ * (-4.24894561f + 5.38770819f * b_ + 4.69891013f * a_)))); + + float T_mid = 0.11239642f + 1 / (+1.61320320f - 0.68124379f * b_ + a_ * (+0.40370612f + 0.90148123f * b_ + + a_ * (-0.27087943f + 0.61223990f * b_ + a_ * (+0.00299215f - 0.45399568f * b_ - 0.14661872f * a_)))); + + float k = C_max / Math.min((L * ST_max[0]), (1 - L) * ST_max[1]); + + float C_mid; + { + float C_a = L * S_mid; + float C_b = (1 - L) * T_mid; + + C_mid = (float) (0.9 * k + * Math.sqrt(Math.sqrt(1 / (1 / (C_a * C_a * C_a * C_a) + 1 / (C_b * C_b * C_b * C_b))))); + } + + float C_0; + { + float C_a = L * 0.4f; + float C_b = (1 - L) * 0.8f; + + C_0 = (float) (Math.sqrt(1 / (1 / (C_a * C_a) + 1 / (C_b * C_b)))); + } + + float[] returned = { C_0, C_mid, C_max }; + + return returned; + } + + private static float[] okhsl_to_srgb(float h, float s, float l) { + if (l == 1) { + float[] returned = { 255, 255, 255 }; + return returned; + } else if (l == 0) { + float[] returned = { 0, 0, 0 }; + return returned; + } + + float a_ = (float) (Math.cos(2 * Math.PI * h)); + float b_ = (float) (Math.sin(2 * Math.PI * h)); + float L = toe_inv(l); + + float[] Cs = get_Cs(L, a_, b_); + float C_0 = Cs[0]; + float C_mid = Cs[1]; + float C_max = Cs[2]; + + float C, t, k_0, k_1, k_2; + if (s < 0.8) { + t = 1.25f * s; + k_0 = 0; + k_1 = 0.8f * C_0; + k_2 = (1 - k_1 / C_mid); + } else { + t = 5 * (s - 0.8f); + k_0 = C_mid; + k_1 = 0.2f * C_mid * C_mid * 1.25f * 1.25f / C_0; + k_2 = (1 - (k_1) / (C_max - C_mid)); + } + + C = k_0 + t * k_1 / (1 - k_2 * t); + + // If we would only use one of the Cs: + // C = s*C_0; + // C = s*1.25*C_mid; + // C = s*C_max; + + float[] rgb = oklab_to_linear_srgb(L, C * a_, C * b_); + float[] returned = { 255 * srgb_transfer_function(rgb[0]), 255 * srgb_transfer_function(rgb[1]), + 255 * srgb_transfer_function(rgb[2]) }; + + return returned; + } + + private static float[] srgb_to_okhsl(float r, float g, float b) { + float[] lab = linear_srgb_to_oklab(srgb_transfer_function_inv(r / 255), srgb_transfer_function_inv(g / 255), + srgb_transfer_function_inv(b / 255)); + + float C = (float) (Math.sqrt(lab[1] * lab[1] + lab[2] * lab[2])); + float a_ = lab[1] / C; + float b_ = lab[2] / C; + + float L = lab[0]; + float h = (float) (0.5 + 0.5 * Math.atan2(-lab[2], -lab[1]) / Math.PI); + + float[] Cs = get_Cs(L, a_, b_); + float C_0 = Cs[0]; + float C_mid = Cs[1]; + float C_max = Cs[2]; + + float s; + if (C < C_mid) { + float k_0 = 0; + float k_1 = 0.8f * C_0; + float k_2 = (1 - k_1 / C_mid); + + float t = (C - k_0) / (k_1 + k_2 * (C - k_0)); + s = t * 0.8f; + } else { + float k_0 = C_mid; + float k_1 = 0.2f * C_mid * C_mid * 1.25f * 1.25f / C_0; + float k_2 = (1 - (k_1) / (C_max - C_mid)); + + float t = (C - k_0) / (k_1 + k_2 * (C - k_0)); + s = 0.8f + 0.2f * t; + } + + float l = toe(L); + + float[] returned = { h, s, l }; + + return returned; + } + + private static float[] okhsv_to_srgb(float h, float s, float v) { + float a_ = (float) (Math.cos(2 * Math.PI * h)); + float b_ = (float) (Math.sin(2 * Math.PI * h)); + + float[] ST_max = get_ST_max(a_, b_, null); + float S_max = ST_max[0]; + float S_0 = 0.5f; + float T = ST_max[1]; + float k = 1 - S_0 / S_max; + + float L_v = 1 - s * S_0 / (S_0 + T - T * k * s); + float C_v = s * T * S_0 / (S_0 + T - T * k * s); + + float L = v * L_v; + float C = v * C_v; + + // to present steps along the way + // L = v; + // C = v*s*S_max; + // L = v*(1 - s*S_max/(S_max+T)); + // C = v*s*S_max*T/(S_max+T); + + float L_vt = toe_inv(L_v); + float C_vt = C_v * L_vt / L_v; + + float L_new = toe_inv(L); // * L_v/L_vt; + C = C * L_new / L; + L = L_new; + + float[] rgb_scale = oklab_to_linear_srgb(L_vt, a_ * C_vt, b_ * C_vt); + float scale_L = (float) (Math + .cbrt(1 / (Math.max(rgb_scale[0], Math.max(rgb_scale[1], Math.max(rgb_scale[2], 0)))))); + + // remove to see effect without rescaling + L = L * scale_L; + C = C * scale_L; + + float[] rgb = oklab_to_linear_srgb(L, C * a_, C * b_); + float[] returned = { 255 * srgb_transfer_function(rgb[0]), 255 * srgb_transfer_function(rgb[1]), + 255 * srgb_transfer_function(rgb[2]) }; + + return returned; + } + + private static float[] srgb_to_okhsv(float r, float g, float b) { + float[] lab = linear_srgb_to_oklab(srgb_transfer_function_inv(r / 255), srgb_transfer_function_inv(g / 255), + srgb_transfer_function_inv(b / 255)); + + float C = (float) (Math.sqrt(lab[1] * lab[1] + lab[2] * lab[2])); + float a_ = lab[1] / C; + float b_ = lab[2] / C; + + float L = lab[0]; + float h = (float) (0.5 + 0.5 * Math.atan2(-lab[2], -lab[1]) / Math.PI); + + float[] ST_max = get_ST_max(a_, b_, null); + float S_max = ST_max[0]; + float S_0 = 0.5f; + float T = ST_max[1]; + float k = 1 - S_0 / S_max; + + float t = T / (C + L * T); + float L_v = t * L; + float C_v = t * C; + + float L_vt = toe_inv(L_v); + float C_vt = C_v * L_vt / L_v; + + float[] rgb_scale = oklab_to_linear_srgb(L_vt, a_ * C_vt, b_ * C_vt); + float scale_L = (float) (Math + .cbrt(1 / (Math.max(rgb_scale[0], Math.max(rgb_scale[1], Math.max(rgb_scale[2], 0)))))); + + L = L / scale_L; + C = C / scale_L; + + C = C * toe(L) / L; + L = toe(L); + + float v = L / L_v; + float s = (S_0 + T) * C_v / ((T * S_0) + T * k * C_v); + + float[] returned = { h, s, v }; + + return returned; + } +} \ No newline at end of file