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<!DOCTYPE html>
<html><head><title>.</title>
<style>
body {
margin: 0;
padding: 1em;
font:400 16px/1.5 -apple-system,BlinkMacSystemFont,"Segoe UI",Roboto,Helvetica,Arial,sans-serif,"Apple Color Emoji","Segoe UI Emoji","Segoe UI Symbol";
color:#111;
background-color:#fdfdfd;
-webkit-text-size-adjust:100%;
-webkit-font-feature-settings:"kern" 1;
-moz-font-feature-settings:"kern" 1;
-o-font-feature-settings:"kern" 1;
font-feature-settings:"kern" 1;
font-kerning:normal;
display:flex;
flex-direction:column;
}
.credits {
text-align: center;
}
.gradient {
display: flex;
align-items: center;
justify-content: center;
flex-wrap: wrap;
}
.gradname {
width: 5em;
}
.sliders {
display: flex;
flex-wrap: wrap;
justify-content: space-evenly;
}
.cluster {
margin: 10px;
}
.axis {
display: flex;
flex-wrap: wrap;
}
.axis div:nth-child(1) {
width: 2em;
}
.axis div:nth-child(2) {
width: 2em;
}
.buttonrow {
display: flex;
flex-wrap: wrap;
justify-content: center;
margin-top: 5px;
margin-bottom: 5px;
}
.buttonrow button {
margin: 0 5px;
}
.quantize {
display: flex;
flex-wrap: wrap;
margin-bottom: 10px;
justify-content: center;
}
.quantize div {
margin: 0 10px;
}
</style>
</head>
<body>
<div class="gradients">
<div class="gradient">
<div class="gradname">sRGB</div>
<div><canvas width="480" height="50" id="c0"></canvas></div>
</div>
<div class="gradient">
<div class="gradname">CIELAB</div>
<div><canvas width="480" height="50" id="c1"></canvas></div>
</div>
<div class="gradient">
<div class="gradname">IPT</div>
<div><canvas width="480" height="50" id="c2"></canvas></div>
</div>
<div class="gradient">
<div class="gradname">Oklab</div>
<div><canvas width="480" height="50" id="c3"></canvas></div>
</div>
<div class="gradient">
<div class="gradname">ICtCp</div>
<div><canvas width="480" height="50" id="c4"></canvas></div>
</div>
<div class="gradient">
<div class="gradname">XYB</div>
<div><canvas width="480" height="50" id="c5"></canvas></div>
</div>
<div class="gradient">
<div class="gradname">SRLAB2</div>
<div><canvas width="480" height="50" id="c6"></canvas></div>
</div>
<div class="gradient">
<div class="gradname">Linear</div>
<div><canvas width="480" height="50" id="c7"></canvas></div>
</div>
</div>
<!--Jerry-rigged color picker-->
<div class="buttonrow">
<button id="randomize" type="button">Random</button>
<button id="q0"><span style="background: #00f"> </span><span style="background: #fff"> </span></button>
<button id="q1"><span style="background: #000"> </span><span style="background: #fff"> </span></button>
<button id="q2"><span style="background: #001"> </span><span style="background: #fff"> </span></button>
<button id="q3"><span style="background: #00f"> </span><span style="background: #ff0"> </span></button>
<button id="q4"><span style="background: #f00"> </span><span style="background: #00f"> </span></button>
<button id="q5"><span style="background: #f00"> </span><span style="background: #0f0"> </span></button>
</div>
<div class="sliders">
<div class="cluster">
<div class="axis">
<div>R</div>
<div id="ro1"></div>
<div><input id="r1" type="range" min="0" max="255" value="0" /></div>
</div>
<div class="axis">
<div>G</div>
<div id="go1"></div>
<div><input id="g1" type="range" min="0" max="255" value="0" /></div>
</div>
<div class="axis">
<div>B</div>
<div id="bo1"></div>
<div><input id="b1" type="range" min="0" max="255" value="255" /></div>
</div>
</div>
<div class="cluster">
<div class="axis">
<div>R</div>
<div id="ro2"></div>
<div><input id="r2" type="range" min="0" max="255" value="255" /></div>
</div>
<div class="axis">
<div>G</div>
<div id="go2"></div>
<div><input id="g2" type="range" min="0" max="255" value="255" /></div>
</div>
<div class="axis">
<div>B</div>
<div id="bo2"></div>
<div><input id="b2" type="range" min="0" max="255" value="255" /></div>
</div>
</div>
</div>
<div class="quantize">
<div>Quantize</div>
<div>
<input id="quant" type="range" min="0" max="1" value="1" step="any" />
</div>
</div>
<p class="credits">Interactive gradient tool from Raph Levien,<br>
<a href="https://raphlinus.github.io/color/2021/01/18/oklab-critique.html">An interactive review of Oklab</a><br><br>
© 2021 Raph Levien, Zachary Catlin; Apache 2.0 license</p>
<script>
// The following code is licensed under Apache-2.0 license as indicated in
// https://raphlinus.github.io/about/
function lerp(a, b, t) {
if (Array.isArray(a)) {
var result = [];
for (let i = 0; i < a.length; i++) {
result.push(lerp(a[i], b[i], t));
}
return result;
} else {
return a + (b - a) * t;
}
}
function mat_vec_mul(m, v) {
var result = [];
for (row of m) {
let sum = 0;
for (let i = 0; i < row.length; i++) {
sum += row[i] * v[i];
}
result.push(sum);
}
return result;
}
// Argument is in range 0..1
function srgb_eotf(u) {
if (u < 0.04045) {
return u / 12.92;
} else {
return Math.pow((u + 0.055) / 1.055, 2.4);
}
}
function srgb_eotf_inv(u) {
if (u < 0.0031308) {
return u * 12.92;
} else {
return 1.055 * Math.pow(u, 1/2.4) - 0.055;
}
}
// Source: Wikipedia sRGB article, rounded to 4 decimals
const SRGB_TO_XYZ = [
[0.4124, 0.3576, 0.1805],
[0.2126, 0.7152, 0.0722],
[0.0193, 0.1192, 0.9505]
];
const XYZ_TO_SRGB = [
[3.2410, -1.5374, -0.4986],
[-0.9692, 1.8760, 0.0416],
[0.0556, -0.2040, 1.0570]
];
// Color is sRGB with 0..255 range. Result is in D65 white point.
function sRGB_to_XYZ(rgb) {
const rgblin = rgb.map(x => srgb_eotf(x / 255));
return mat_vec_mul(SRGB_TO_XYZ, rgblin);
}
function XYZ_to_sRGB(xyz) {
const rgblin = mat_vec_mul(XYZ_TO_SRGB, xyz);
return rgblin.map(x => Math.round(255 * srgb_eotf_inv(x)));
}
const SRGB = {"to_xyz": sRGB_to_XYZ, "from_xyz": XYZ_to_sRGB};
// From Oklab article, then some numpy. Note these are transposed. I'm
// not sure I have the conventions right, but it is giving the right
// answer.
const OKLAB_M1 = [
[ 0.8189, 0.3619, -0.1289],
[ 0.033 , 0.9293, 0.0361],
[ 0.0482, 0.2644, 0.6339]
];
const OKLAB_M2 = [
[ 0.2105, 0.7936, -0.0041],
[ 1.978 , -2.4286, 0.4506],
[ 0.0259, 0.7828, -0.8087]
];
const OKLAB_INV_M1 = [
[ 1.227 , -0.5578, 0.2813],
[-0.0406, 1.1123, -0.0717],
[-0.0764, -0.4215, 1.5862]
];
const OKLAB_INV_M2 = [
[ 1.0 , 0.3963, 0.2158],
[ 1.0 , -0.1056, -0.0639],
[ 1.0 , -0.0895, -1.2915]
];
function Oklab_to_XYZ(lab) {
const lms = mat_vec_mul(OKLAB_INV_M2, lab);
const lmslin = lms.map(x => x * x * x);
return mat_vec_mul(OKLAB_INV_M1, lmslin);
}
function XYZ_to_Oklab(xyz) {
const lmslin = mat_vec_mul(OKLAB_M1, xyz);
const lms = lmslin.map(Math.cbrt);
return mat_vec_mul(OKLAB_M2, lms);
}
const OKLAB = {"to_xyz": Oklab_to_XYZ, "from_xyz": XYZ_to_Oklab};
function cielab_f(t) {
const d = 6.0/29.0;
if (t < d * d * d) {
return t / (3 * d * d) + 4.0/29.0;
} else {
return Math.cbrt(t);
}
}
function cielab_f_inv(t) {
const d = 6.0/29.0;
if (t < d) {
return 3 * d * d * (t - 4.0/29.0);
} else {
return t * t * t;
}
}
function XYZ_to_Lab(xyz) {
// Just normalizing XYZ values to the white point is the "wrong von Kries"
// transformation, which is faithful to the spec.
const xyz_n = [xyz[0] / .9505, xyz[1], xyz[2] / 1.0888];
const fxyz = xyz_n.map(cielab_f);
const L = 116 * fxyz[1] - 16;
const a = 500 * (fxyz[0] - fxyz[1]);
const b = 200 * (fxyz[1] - fxyz[2]);
return [L, a, b];
}
function Lab_to_XYZ(lab) {
const l_ = (lab[0] + 16) / 116;
const x = 0.9505 * cielab_f_inv(l_ + lab[1] / 500);
const y = cielab_f_inv(l_);
const z = 1.0888 * cielab_f_inv(l_ - lab[2] / 200);
return [x, y, z];
}
const CIELAB = {"to_xyz": Lab_to_XYZ, "from_xyz": XYZ_to_Lab};
// https://professional.dolby.com/siteassets/pdfs/ictcp_dolbywhitepaper_v071.pdf
const ICTCP_XYZ_TO_LMS = [
[ 0.3593, 0.6976, -0.0359],
[-0.1921, 1.1005, 0.0754],
[ 0.0071, 0.0748, 0.8433]
];
const ICTCP_LMS_TO_ITP = [
[ 0.5 , 0.5 , 0.0 ],
[ 1.6138, -3.3235, 1.7097],
[ 4.3782, -4.2456, -0.1326]
];
const ICTCP_LMS_TO_XYZ = [
[ 2.0703, -1.3265, 0.2067],
[ 0.3647, 0.6806, -0.0453],
[-0.0498, -0.0492, 1.1881]
];
const ICTCP_ITP_TO_LMS = [
[ 1.0 , 0.0086, 0.111 ],
[ 1.0 , -0.0086, -0.111 ],
[ 1.0 , 0.56 , -0.3206]
];
const m1 = 2610/16384;
const m2 = 2523/4096 * 128;
const c2 = 2413/4096 * 32;
const c3 = 2392/4096 * 32;
const c1 = c3 - c2 + 1;
// This peak luminance value is from the Dolby whitepaper but seems too high.
const L_p = 10000;
// Note: 80 is what is specified by sRGB but seems too low; this value is chosen
// to be typical for actual non-HDR displays.
const L_display = 200;
function st_2084_eotf_inv(n) {
const fd = n * L_display;
const y = fd / L_p;
const ym1 = Math.pow(y, m1);
return Math.pow((c1 + c2 * ym1) / (1 + c3 * ym1), m2);
}
function st_2084_eotf(x) {
const V_p = Math.pow(x, 1 / m2);
const n = V_p - c1;
// maybe max with 0 here?
const L = Math.pow(n / (c2 - c3 * V_p), 1 / m1);
return L * L_p / L_display;
}
function ICtCp_to_XYZ(lab) {
const lms = mat_vec_mul(ICTCP_ITP_TO_LMS, lab);
const lmslin = lms.map(st_2084_eotf);
return mat_vec_mul(ICTCP_LMS_TO_XYZ, lmslin);
}
function XYZ_to_ICtCp(xyz) {
const lmslin = mat_vec_mul(ICTCP_XYZ_TO_LMS, xyz);
const lms = lmslin.map(st_2084_eotf_inv);
return mat_vec_mul(ICTCP_LMS_TO_ITP, lms);
}
const ICTCP = {"to_xyz": ICtCp_to_XYZ, "from_xyz": XYZ_to_ICtCp};
///
const IPT_XYZ_TO_LMS = [
[0.4002, 0.7075, -0.0807],
[-0.2280, 1.1500, 0.0612],
[0.0000, 0.0000, 0.9184]
];
const IPT_LMS_TO_IPT = [
[0.4000, 0.4000, 0.2000],
[4.4550, -4.8510, 0.3960],
[0.8056, 0.3572, -1.1628],
];
const IPT_LMS_TO_XYZ = [
[ 1.8502, -1.1383, 0.2384],
[ 0.3668, 0.6439, -0.0107],
[ 0.0 , 0.0 , 1.0889]
];
const IPT_IPT_TO_LMS = [
[ 1.0 , 0.0976, 0.2052],
[ 1.0 , -0.1139, 0.1332],
[ 1.0 , 0.0326, -0.6769]
];
function IPT_to_XYZ(lab) {
const lms = mat_vec_mul(IPT_IPT_TO_LMS, lab);
const lmslin = lms.map(x => Math.pow(x, 1.0 / 0.43));
return mat_vec_mul(IPT_LMS_TO_XYZ, lmslin);
}
function XYZ_to_IPT(xyz) {
const lmslin = mat_vec_mul(IPT_XYZ_TO_LMS, xyz);
const lms = lmslin.map(x => Math.pow(x, 0.43));
return mat_vec_mul(IPT_LMS_TO_IPT, lms);
}
const IPT = {"to_xyz": IPT_to_XYZ, "from_xyz": XYZ_to_IPT};
const XYB_XYZ_TO_LMS = [
[ 0.3739, 0.6896, -0.0413],
[ 0.0792, 0.9286, -0.0035],
[ 0.6212, -0.1027, 0.4704]
];
const XYB_LMS_TO_XYB = [
[ 0.5, -0.5, 0.0],
[ 0.5, 0.5, 0.0],
[ 0.0, 0.0, 1.0],
]
const XYB_LMS_TO_XYZ = [
[ 2.7253, -1.9993, 0.2245],
[-0.2462, 1.2585, -0.0122],
[-3.6527, 2.9148, 1.8268]
];
const XYB_XYB_TO_LMS = [
[ 1.0, 1.0, 0.0],
[ -1.0, 1.0, 0.0],
[ 0.0, 0.0, 1.0],
]
const XYB_BIAS = 0.00379307;
const XYB_BIAS_CBRT = Math.cbrt(XYB_BIAS);
function XYB_to_XYZ(lab) {
const lms = mat_vec_mul(XYB_XYB_TO_LMS, lab);
const lmslin = lms.map(x => Math.pow(x + XYB_BIAS_CBRT, 3) - XYB_BIAS);
return mat_vec_mul(XYB_LMS_TO_XYZ, lmslin);
}
function XYZ_to_XYB(xyz) {
const lmslin = mat_vec_mul(XYB_XYZ_TO_LMS, xyz);
const lms = lmslin.map(x => Math.cbrt(x + XYB_BIAS) - XYB_BIAS_CBRT);
return mat_vec_mul(XYB_LMS_TO_XYB, lms);
}
const XYB = {"to_xyz": XYB_to_XYZ, "from_xyz": XYZ_to_XYB};
const LINEAR = {"to_xyz": x => x, "from_xyz": x => x};
// These are actually equivalent to the CIE curves and the code could be merged,
// but we're keeping closer to the sources.
function srlab2_f(t) {
if (t < 216.0/24389.0) {
return t * (24389.0 / 2700.0);
} else {
return 1.16 * Math.cbrt(t) - 0.16;
}
}
function srlab2_f_inv(t) {
if (t < 0.08) {
return t * (2700.0 / 24389.0);
} else {
return Math.pow((t + 0.16) / 1.16, 3.0);
}
}
const SRLAB2_XYZ_TO_LMS = [
[ 0.424 , 0.6933, -0.0884],
[-0.2037, 1.1537, 0.0367],
[-0.0008, -0.001 , 0.9199]
];
const SRLAB2_LMS_TO_LAB = [
[ 37.0950, 62.9054, -0.0008],
[663.4684, -750.5078, 87.0328],
[ 63.9569, 108.4576, -172.4152],
];
const SRLAB2_LMS_TO_XYZ = [
[ 1.8307, -1.1 , 0.2198],
[ 0.3231, 0.6726, 0.0042],
[ 0.0019, -0.0002, 1.0873]
];
const SRLAB2_LAB_TO_LMS = [
[0.01, +0.000904127, +0.000456344],
[0.01, -0.000533159, -0.000269178],
[0.01, 0.0 , -0.005800000]
];
function SRLAB2_to_XYZ(lab) {
const lms = mat_vec_mul(SRLAB2_LAB_TO_LMS, lab);
const lmslin = lms.map(srlab2_f_inv);
return mat_vec_mul(SRLAB2_LMS_TO_XYZ, lmslin);
}
function XYZ_to_SRLAB2(xyz) {
const lmslin = mat_vec_mul(SRLAB2_XYZ_TO_LMS, xyz);
const lms = lmslin.map(srlab2_f);
return mat_vec_mul(SRLAB2_LMS_TO_LAB, lms);
}
const SRLAB2 = {"to_xyz": SRLAB2_to_XYZ, "from_xyz": XYZ_to_SRLAB2};
function draw_gradient(id, c1, c2, cs, q) {
const n_steps = Math.round(2.0 / (1 - Math.cbrt(q)));
const a1 = cs["from_xyz"](sRGB_to_XYZ(c1));
const a2 = cs["from_xyz"](sRGB_to_XYZ(c2));
const element = document.getElementById(id);
const w = element.width;
const h = element.height;
const ctx = element.getContext("2d");
const img = ctx.createImageData(w, h);
for (let x = 0; x < w; x++) {
let t = x / (w - 1);
if (q < 1) {
t = Math.min(Math.floor(t * (n_steps + 1)) / n_steps, 1.0);
}
const a = lerp(a1, a2, t);
const c = XYZ_to_sRGB(cs["to_xyz"](a));
img.data[x * 4 + 0] = c[0];
img.data[x * 4 + 1] = c[1];
img.data[x * 4 + 2] = c[2];
img.data[x * 4 + 3] = 255;
}
for (let y = 1; y < h; y++) {
img.data.copyWithin(y * w * 4, 0, w * 4);
}
ctx.putImageData(img, 0, 0);
}
// UI
function getrgb(n) {
return ['r', 'g', 'b'].map(c => {
const v = document.getElementById(c + n).valueAsNumber;
document.getElementById(c + 'o' + n).innerText = `${v}`;
return v;
});
}
function update(e) {
rgb1 = getrgb(1);
rgb2 = getrgb(2);
q = document.getElementById('quant').valueAsNumber;
draw_gradient("c0", rgb1, rgb2, SRGB, q);
draw_gradient("c1", rgb1, rgb2, CIELAB, q);
draw_gradient("c2", rgb1, rgb2, IPT, q);
draw_gradient("c3", rgb1, rgb2, OKLAB, q);
draw_gradient("c4", rgb1, rgb2, ICTCP, q);
draw_gradient("c5", rgb1, rgb2, XYB, q);
draw_gradient("c6", rgb1, rgb2, SRLAB2, q);
draw_gradient("c7", rgb1, rgb2, LINEAR, q);
}
function setrgb(rgb1, rgb2) {
for (let i = 0; i < 3; i++) {
const c = ['r', 'g', 'b'][i];
document.getElementById(c + 1).valueAsNumber = rgb1[i];
document.getElementById(c + 2).valueAsNumber = rgb2[i];
}
update();
}
function randomize(e) {
const rgb1 = [0, 1, 2].map(_ => Math.round(255 * Math.random()));
const rgb2 = [0, 1, 2].map(_ => Math.round(255 * Math.random()));
setrgb(rgb1, rgb2);
}
function install_ui() {
for (var c of ['r', 'g', 'b']) {
document.getElementById(c + 1).addEventListener('input', update);
document.getElementById(c + 2).addEventListener('input', update);
}
document.getElementById('quant').addEventListener('input', update);
document.getElementById('randomize').addEventListener('click', randomize);
const colors = [
[[0, 0, 255], [255, 255, 255]],
[[0, 0, 0], [255, 255, 255]],
[[0, 0, 17], [255, 255, 255]],
[[0, 0, 255], [255, 255, 0]],
[[255, 0, 0], [0, 0, 255]],
[[255, 0, 0], [0, 255, 0]]
];
for (var i = 0; i < colors.length; i++) {
const c = colors[i];
document.getElementById('q' + i).addEventListener('click', e => {
setrgb(c[0], c[1]);
});
}
}
install_ui();
update();
document.addEventListener(
'click',
function(e) {
var t = e.target;
if (t instanceof Element && t.tagName.toLowerCase() === 'a') {
var url = t.getAttribute('href');
window.external.invoke(url);
e.preventDefault();
return false;
}
return true;
},
true
);
</script>
</body>
</html>