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Diffstat (limited to 'xmpp-vala/src/module/xep/0392_consistent_color/hsluv.vala')
| -rw-r--r-- | xmpp-vala/src/module/xep/0392_consistent_color/hsluv.vala | 393 |
1 files changed, 393 insertions, 0 deletions
diff --git a/xmpp-vala/src/module/xep/0392_consistent_color/hsluv.vala b/xmpp-vala/src/module/xep/0392_consistent_color/hsluv.vala new file mode 100644 index 00000000..b45d84de --- /dev/null +++ b/xmpp-vala/src/module/xep/0392_consistent_color/hsluv.vala @@ -0,0 +1,393 @@ +namespace Hsluv { + +private const double[] M0 = { 3.240969941904521, -1.537383177570093, -0.498610760293 }; +private const double[] M1 = { -0.96924363628087, 1.87596750150772, 0.041555057407175 }; +private const double[] M2 = { 0.055630079696993, -0.20397695888897, 1.056971514242878 }; + +private const double[] MInv0 = { 0.41239079926595, 0.35758433938387, 0.18048078840183 }; +private const double[] MInv1 = { 0.21263900587151, 0.71516867876775, 0.072192315360733 }; +private const double[] MInv2 = { 0.019330818715591, 0.11919477979462, 0.95053215224966 }; + +private double RefX = 0.95045592705167; +private double RefY = 1.0; +private double RefZ = 1.089057750759878; + +private double RefU = 0.19783000664283; +private double RefV = 0.46831999493879; + +private double Kappa = 903.2962962; +private double Epsilon = 0.0088564516; + +private struct Bounds { + double t0; + double t1; +} + +private Bounds get_bounds_sub(double L, double sub1, double sub2, int t, double[] m) { + double m1 = m[0]; + double m2 = m[1]; + double m3 = m[2]; + double top1 = (284517 * m1 - 94839 * m3) * sub2; + double top2 = (838422 * m3 + 769860 * m2 + 731718 * m1) * L * sub2 - 769860 * t * L; + double bottom = (632260 * m3 - 126452 * m2) * sub2 + 126452 * t; + return { top1 / bottom, top2 / bottom }; +} + +private Bounds[] get_bounds(double L) { + double sub1 = Math.pow(L + 16, 3) / 1560896; + double sub2 = sub1 > Epsilon ? sub1 : L / Kappa; + + return { + get_bounds_sub(L, sub1, sub2, 0, M0), + get_bounds_sub(L, sub1, sub2, 1, M0), + get_bounds_sub(L, sub1, sub2, 0, M1), + get_bounds_sub(L, sub1, sub2, 1, M1), + get_bounds_sub(L, sub1, sub2, 0, M2), + get_bounds_sub(L, sub1, sub2, 1, M2) + }; +} + +private double intersect_line_line(double[] lineA, double[] lineB) { + return (lineA[1] - lineB[1]) / (lineB[0] - lineA[0]); +} + +private double distance_from_pole(double[] point) { + return Math.sqrt(Math.pow(point[0], 2) + Math.pow(point[1], 2)); +} + +private bool length_of_ray_until_intersect(double theta, Bounds line, out double length) { + length = line.t1 / (Math.sin(theta) - line.t0 * Math.cos(theta)); + + return length >= 0; +} + +private double max_safe_chroma_for_l(double L) { + Bounds[] bounds = get_bounds(L); + double min = double.MAX; + + for (int i = 0; i < 2; ++i) { + var m1 = bounds[i].t0; + var b1 = bounds[i].t1; + var line = new double[] { m1, b1 }; + + double x = intersect_line_line(line, new double[] {-1 / m1, 0 }); + double length = distance_from_pole(new double[] { x, b1 + x * m1 }); + + min = double.min(min, length); + } + + return min; +} + +private double max_chroma_for_lh(double L, double H) { + double hrad = H / 360 * Math.PI * 2; + + Bounds[] bounds = get_bounds(L); + double min = double.MAX; + + foreach (var bound in bounds) { + double length; + + if (length_of_ray_until_intersect(hrad, bound, out length)) { + min = double.min(min, length); + } + } + + return min; +} + +private double dot_product(double[] a, double[] b) { + double sum = 0; + + for (int i = 0; i < a.length; ++i) { + sum += a[i] * b[i]; + } + + return sum; +} + +private double round(double value, int places) { + double n = Math.pow(10, places); + + return Math.round(value * n) / n; +} + +private double from_linear(double c) { + if (c <= 0.0031308) { + return 12.92 * c; + } else { + return 1.055 * Math.pow(c, 1 / 2.4) - 0.055; + } +} + +private double to_linear(double c) { + if (c > 0.04045) { + return Math.pow((c + 0.055) / (1 + 0.055), 2.4); + } else { + return c / 12.92; + } +} + +private int[] rgb_prepare(double[] tuple) { + for (int i = 0; i < tuple.length; ++i) { + tuple[i] = round(tuple[i], 3); + } + + for (int i = 0; i < tuple.length; ++i) { + double ch = tuple[i]; + + if (ch < -0.0001 || ch > 1.0001) { + return null; //throw new Error("Illegal rgb value: " + ch); + } + } + + var results = new int[tuple.length]; + + for (int i = 0; i < tuple.length; ++i) { + results[i] = (int) Math.round(tuple[i] * 255); + } + + return results; +} + +internal double[] xyz_to_rgb(double[] tuple) { + return new double[] { + from_linear(dot_product(M0, tuple)), + from_linear(dot_product(M1, tuple)), + from_linear(dot_product(M2, tuple)) + }; +} + +internal double[] rgb_to_xyz(double[] tuple) { + var rgbl = new double[] { + to_linear(tuple[0]), + to_linear(tuple[1]), + to_linear(tuple[2]) + }; + + return new double[] { + dot_product(MInv0, rgbl), + dot_product(MInv1, rgbl), + dot_product(MInv2, rgbl) + }; +} + +private double y_to_l(double Y) { + if (Y <= Epsilon) { + return (Y / RefY) * Kappa; + } else { + return 116 * Math.pow(Y / RefY, 1.0 / 3.0) - 16; + } +} + +private double l_to_y(double L) { + if (L <= 8) { + return RefY * L / Kappa; + } else { + return RefY * Math.pow((L + 16) / 116, 3); + } +} + +internal double[] xyz_to_luv(double[] tuple) { + double X = tuple[0]; + double Y = tuple[1]; + double Z = tuple[2]; + + double varU = (4 * X) / (X + (15 * Y) + (3 * Z)); + double varV = (9 * Y) / (X + (15 * Y) + (3 * Z)); + + double L = y_to_l(Y); + + if (L == 0) { + return new double[] { 0, 0, 0 }; + } + + var U = 13 * L * (varU - RefU); + var V = 13 * L * (varV - RefV); + + return new double [] { L, U, V }; +} + +internal double[] luv_to_xyz(double[] tuple) { + double L = tuple[0]; + double U = tuple[1]; + double V = tuple[2]; + + if (L == 0) { + return new double[] { 0, 0, 0 }; + } + + double varU = U / (13 * L) + RefU; + double varV = V / (13 * L) + RefV; + + double Y = l_to_y(L); + double X = 0 - (9 * Y * varU) / ((varU - 4) * varV - varU * varV); + double Z = (9 * Y - (15 * varV * Y) - (varV * X)) / (3 * varV); + + return new double[] { X, Y, Z }; +} + +internal double[] luv_to_lch(double[] tuple) { + double L = tuple[0]; + double U = tuple[1]; + double V = tuple[2]; + + double C = Math.pow(Math.pow(U, 2) + Math.pow(V, 2), 0.5); + double Hrad = Math.atan2(V, U); + + double H = Hrad * 180.0 / Math.PI; + + if (H < 0) { + H = 360 + H; + } + + return new double[] { L, C, H }; +} + +internal double[] lch_to_luv(double[] tuple) { + double L = tuple[0]; + double C = tuple[1]; + double H = tuple[2]; + + double Hrad = H / 360.0 * 2 * Math.PI; + double U = Math.cos(Hrad) * C; + double V = Math.sin(Hrad) * C; + + return new double [] { L, U, V }; +} + +internal double[] hsluv_to_lch(double[] tuple) { + double H = tuple[0]; + double S = tuple[1]; + double L = tuple[2]; + + if (L > 99.9999999) { + return new double[] { 100, 0, H }; + } + + if (L < 0.00000001) { + return new double[] { 0, 0, H }; + } + + double max = max_chroma_for_lh(L, H); + double C = max / 100 * S; + + return new double[] { L, C, H }; +} + +internal double[] lch_to_hsluv(double[] tuple) { + double L = tuple[0]; + double C = tuple[1]; + double H = tuple[2]; + + if (L > 99.9999999) { + return new double[] { H, 0, 100 }; + } + + if (L < 0.00000001) { + return new double[] { H, 0, 0 }; + } + + double max = max_chroma_for_lh(L, H); + double S = C / max * 100; + + return new double[] { H, S, L }; +} + +internal double[] hpluv_to_lch(double[] tuple) { + double H = tuple[0]; + double S = tuple[1]; + double L = tuple[2]; + + if (L > 99.9999999) { + return new double[] { 100, 0, H }; + } + + if (L < 0.00000001) { + return new double[] { 0, 0, H }; + } + + double max = max_safe_chroma_for_l(L); + double C = max / 100 * S; + + return new double[] { L, C, H }; +} + +internal double[] lch_to_hpluv(double[] tuple) { + double L = tuple[0]; + double C = tuple[1]; + double H = tuple[2]; + + if (L > 99.9999999) { + return new double[] { H, 0, 100 }; + } + + if (L < 0.00000001) { + return new double[] { H, 0, 0 }; + } + + double max = max_safe_chroma_for_l(L); + double S = C / max * 100; + + return new double[] { H, S, L }; +} + +internal string rgb_to_hex(double[] tuple) { + int[] prepared = rgb_prepare(tuple); + + return "#%.2x%.2x%.2x".printf(prepared[0], prepared[1], prepared[2]); +} + +internal double[] hex_to_tgb(string hex) { + return new double[] { + hex.substring(1, 2).to_long(null, 16) / 255.0, + hex.substring(3, 2).to_long(null, 16) / 255.0, + hex.substring(5, 2).to_long(null, 16) / 255.0 + }; +} + +internal double[] lch_to_rgb(double[] tuple) { + return xyz_to_rgb(luv_to_xyz(lch_to_luv(tuple))); +} + +internal double[] rgb_to_lch(double[] tuple) { + return luv_to_lch(xyz_to_luv(rgb_to_xyz(tuple))); +} + +// Rgb <--> Hsluv(p) + +internal double[] hsluv_to_rgb(double[] tuple) { + return lch_to_rgb(hsluv_to_lch(tuple)); +} + +internal double[] rgb_to_hsluv(double[] tuple) { + return lch_to_hsluv(rgb_to_lch(tuple)); +} + +internal double[] hpluv_to_rgb(double[] tuple) { + return lch_to_rgb(hpluv_to_lch(tuple)); +} + +internal double[] rgb_to_hpluv(double[] tuple) { + return lch_to_hpluv(rgb_to_lch(tuple)); +} + +// Hex + +internal string hsluv_to_hex(double[] tuple) { + return rgb_to_hex(hsluv_to_rgb(tuple)); +} + +internal string hpluv_to_hex(double[] tuple) { + return rgb_to_hex(hpluv_to_rgb(tuple)); +} + +internal double[] hex_to_hsluv(string s) { + return rgb_to_hsluv(hex_to_tgb(s)); +} + +internal double[] hex_to_hpluv(string s) { + return rgb_to_hpluv(hex_to_tgb(s)); +} + +}
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