d3-ternary
Version:
Generate ternary plots
1,638 lines (1,472 loc) • 55.4 kB
JavaScript
// d3-ternary v3.0.7 Copyright 2025, Jules Blom
/**
* Constructs a new ternary plot using the provided barycentric converter
*/
function ternaryPlot(barycentric) {
let radius = 300;
let tickFormat = "%";
// axes configurations
const A = {
label: "A",
labelAngle: 0,
labelOffset: 45,
tickAngle: 0,
tickSize: 6,
tickTextAnchor: "start",
};
const B = {
label: "B",
labelAngle: 60,
labelOffset: 45,
tickAngle: 60,
tickSize: 6,
tickTextAnchor: "end",
};
const C = {
label: "C",
labelAngle: -60,
labelOffset: 45,
tickAngle: -60,
tickSize: 6,
tickTextAnchor: "end",
};
/** Transform coordinates only applying radius */
function transform(x, y) {
return [x * radius, y * radius];
}
const ternaryPlot = function (d) {
const [x, y] = barycentric(d);
return transform(x, y); // Apply radius
};
// Get the three corners of the triangle - using full triangle for display
function getVertices() {
const a = transform(...barycentric.unscaled([1, 0, 0]));
const b = transform(...barycentric.unscaled([0, 1, 0]));
const c = transform(...barycentric.unscaled([0, 0, 1]));
return [a, b, c];
}
ternaryPlot.triangle = function () {
const [cA, cB, cC] = getVertices();
return `M${cA}L${cB}L${cC}Z`;
};
function gridLines(count = 10) {
const [scaleA, scaleB, scaleC] = barycentric.scales();
const counts = Array.isArray(count) ? count : [+count, +count, +count];
const gridLines = [
// A axis grid lines (vertical lines, parallel to BC edge)
scaleA
.ticks(counts[0])
.map((t) => {
const scaledT = scaleA(t);
const start = transform(...barycentric.unscaled([scaledT, 1 - scaledT, 0]));
const end = transform(...barycentric.unscaled([scaledT, 0, 1 - scaledT]));
return [start, end];
}),
// B axis grid lines (lines parallel to AC edge, from left vertex)
scaleB
.ticks(counts[1])
.map((t) => {
const scaledT = scaleB(t);
const start = transform(...barycentric.unscaled([0, scaledT, 1 - scaledT]));
const end = transform(...barycentric.unscaled([1 - scaledT, scaledT, 0]));
return [start, end];
}),
// C axis grid lines (lines parallel to AB edge, from right vertex)
scaleC
.ticks(counts[2])
.map((t) => {
const scaledT = scaleC(t);
const start = transform(...barycentric.unscaled([1 - scaledT, 0, scaledT]));
const end = transform(...barycentric.unscaled([0, 1 - scaledT, scaledT]));
return [start, end];
}),
];
return gridLines;
}
ternaryPlot.gridLines = gridLines;
ternaryPlot.axisLabels = function ({ center = false } = {}) {
const [cA, cB, cC] = getVertices(); // c1=[1,0,0], c2=[0,1,0], c3=[0,0,1]
if (center) {
// Calculate midpoints of each edge
const midAB = [(cA[0] + cB[0]) / 2, (cA[1] + cB[1]) / 2];
const midBC = [(cB[0] + cC[0]) / 2, (cB[1] + cC[1]) / 2];
const midCA = [(cC[0] + cA[0]) / 2, (cC[1] + cA[1]) / 2];
return [
// C axis label (opposite to C vertex)
{
position: [
(midAB[0] / radius) * (radius + A.labelOffset),
(midAB[1] / radius) * (radius + A.labelOffset),
],
label: A.label,
angle: A.labelAngle,
},
// A axis label (opposite to A vertex)
{
position: [
(midBC[0] / radius) * (radius + B.labelOffset),
(midBC[1] / radius) * (radius + B.labelOffset),
],
label: B.label,
angle: B.labelAngle,
},
// B axis label (opposite to B vertex)
{
position: [
(midCA[0] / radius) * (radius + C.labelOffset),
(midCA[1] / radius) * (radius + C.labelOffset),
],
label: C.label,
angle: C.labelAngle,
},
];
}
// Original vertex-based label positioning
return [
// A axis label (at top vertex where A=1)
{
position: [
cA[0] + cA[0] * (A.labelOffset / radius),
cA[1] + cA[1] * (A.labelOffset / radius),
],
label: A.label,
angle: A.labelAngle,
},
// B axis label (at left vertex where B=1)
{
position: [
cB[0] + cB[0] * (B.labelOffset / radius),
cB[1] + cB[1] * (B.labelOffset / radius),
],
label: B.label,
angle: B.labelAngle,
},
// C axis label (at right vertex where C=1)
{
position: [
cC[0] + cC[0] * (C.labelOffset / radius),
cC[1] + cC[1] * (C.labelOffset / radius),
],
label: C.label,
angle: C.labelAngle,
},
];
};
function ticks(count = 10) {
const [scaleA, scaleB, scaleC] = barycentric.scales();
const counts = Array.isArray(count) ? count : [+count, +count, +count];
const formatA = typeof tickFormat === "function"
? tickFormat
: scaleA.tickFormat(counts[0], tickFormat);
const formatB = typeof tickFormat === "function"
? tickFormat
: scaleB.tickFormat(counts[1], tickFormat);
const formatC = typeof tickFormat === "function"
? tickFormat
: scaleC.tickFormat(counts[2], tickFormat);
const ticks = [
// A axis ticks (top)
scaleA.ticks(counts[0]).map((t) => {
const scaledT = scaleA(t);
return {
tick: formatA(t),
angle: A.tickAngle,
textAnchor: A.tickTextAnchor,
size: A.tickSize,
position: transform(...barycentric.unscaled([
scaledT, // A
0, // B
1 - scaledT, // C
])),
};
}),
// B axis ticks (left side)
scaleB.ticks(counts[1]).map((t) => {
const scaledT = scaleB(t);
return {
tick: formatB(t),
angle: B.tickAngle,
textAnchor: B.tickTextAnchor,
size: B.tickSize,
position: transform(...barycentric.unscaled([
1 - scaledT, // A
scaledT, // B,
0, // C
])),
};
}),
// C axis ticks (right side)
scaleC.ticks(counts[2]).map((t) => {
const scaledT = scaleC(t);
return {
tick: formatC(t),
angle: C.tickAngle,
textAnchor: C.tickTextAnchor,
size: C.tickSize,
position: transform(...barycentric.unscaled([
0, // A
1 - scaledT, // B
scaledT, //C
])),
};
}),
];
return ticks;
}
ternaryPlot.ticks = ticks;
function tickFormatFn(_) {
if (!arguments.length)
return tickFormat;
tickFormat = _ ?? "%";
return ternaryPlot;
}
ternaryPlot.tickFormat = tickFormatFn;
function radiusFn(_) {
if (typeof _ === "undefined")
return radius;
radius = +_;
return ternaryPlot;
}
ternaryPlot.radius = radiusFn;
ternaryPlot.invert = function (_) {
return barycentric.invert([_[0] / radius, _[1] / radius]);
};
function labels(_) {
return _
? ((A.label = String(_[0])),
(B.label = String(_[1])),
(C.label = String(_[2])),
ternaryPlot)
: [A.label, B.label, C.label];
}
ternaryPlot.labels = labels;
function tickAngles(_) {
return _
? ((A.tickAngle = _[0]),
(B.tickAngle = _[1]),
(C.tickAngle = _[2]),
ternaryPlot)
: [A.tickAngle, B.tickAngle, C.tickAngle];
}
ternaryPlot.tickAngles = tickAngles;
function labelAngles(_) {
return _
? ((A.labelAngle = _[0]),
(B.labelAngle = _[1]),
(C.labelAngle = _[2]),
ternaryPlot)
: [A.labelAngle, B.labelAngle, C.labelAngle];
}
ternaryPlot.labelAngles = labelAngles;
function tickTextAnchors(_) {
return _
? ((A.tickTextAnchor = _[0]),
(B.tickTextAnchor = _[1]),
(C.tickTextAnchor = _[2]),
ternaryPlot)
: [A.tickTextAnchor, B.tickTextAnchor, C.tickTextAnchor];
}
ternaryPlot.tickTextAnchors = tickTextAnchors;
function tickSizes(_) {
return _
? Array.isArray(_)
? ((A.tickSize = _[0]),
(B.tickSize = _[1]),
(C.tickSize = _[2]),
ternaryPlot)
: ((A.tickSize = B.tickSize = C.tickSize = +_), ternaryPlot)
: [A.tickSize, B.tickSize, C.tickSize];
}
ternaryPlot.tickSizes = tickSizes;
function labelOffsets(_) {
return _
? Array.isArray(_)
? ((A.labelOffset = _[0]),
(B.labelOffset = _[1]),
(C.labelOffset = _[2]),
ternaryPlot)
: ((A.labelOffset = B.labelOffset = C.labelOffset = +_), ternaryPlot)
: [A.labelOffset, B.labelOffset, C.labelOffset];
}
ternaryPlot.labelOffsets = labelOffsets;
return ternaryPlot;
}
function ascending(a, b) {
return a == null || b == null ? NaN
: a < b ? -1
: a > b ? 1
: a >= b ? 0
: NaN;
}
function bisector(f) {
let delta = f;
let compare = f;
if (f.length === 1) {
delta = (d, x) => f(d) - x;
compare = ascendingComparator(f);
}
function left(a, x, lo, hi) {
if (lo == null) lo = 0;
if (hi == null) hi = a.length;
while (lo < hi) {
const mid = (lo + hi) >>> 1;
if (compare(a[mid], x) < 0) lo = mid + 1;
else hi = mid;
}
return lo;
}
function right(a, x, lo, hi) {
if (lo == null) lo = 0;
if (hi == null) hi = a.length;
while (lo < hi) {
const mid = (lo + hi) >>> 1;
if (compare(a[mid], x) > 0) hi = mid;
else lo = mid + 1;
}
return lo;
}
function center(a, x, lo, hi) {
if (lo == null) lo = 0;
if (hi == null) hi = a.length;
const i = left(a, x, lo, hi - 1);
return i > lo && delta(a[i - 1], x) > -delta(a[i], x) ? i - 1 : i;
}
return {left, center, right};
}
function ascendingComparator(f) {
return (d, x) => ascending(f(d), x);
}
function number$1(x) {
return x === null ? NaN : +x;
}
const ascendingBisect = bisector(ascending);
const bisectRight = ascendingBisect.right;
bisector(number$1).center;
var e10 = Math.sqrt(50),
e5 = Math.sqrt(10),
e2 = Math.sqrt(2);
function ticks(start, stop, count) {
var reverse,
i = -1,
n,
ticks,
step;
stop = +stop, start = +start, count = +count;
if (start === stop && count > 0) return [start];
if (reverse = stop < start) n = start, start = stop, stop = n;
if ((step = tickIncrement(start, stop, count)) === 0 || !isFinite(step)) return [];
if (step > 0) {
let r0 = Math.round(start / step), r1 = Math.round(stop / step);
if (r0 * step < start) ++r0;
if (r1 * step > stop) --r1;
ticks = new Array(n = r1 - r0 + 1);
while (++i < n) ticks[i] = (r0 + i) * step;
} else {
step = -step;
let r0 = Math.round(start * step), r1 = Math.round(stop * step);
if (r0 / step < start) ++r0;
if (r1 / step > stop) --r1;
ticks = new Array(n = r1 - r0 + 1);
while (++i < n) ticks[i] = (r0 + i) / step;
}
if (reverse) ticks.reverse();
return ticks;
}
function tickIncrement(start, stop, count) {
var step = (stop - start) / Math.max(0, count),
power = Math.floor(Math.log(step) / Math.LN10),
error = step / Math.pow(10, power);
return power >= 0
? (error >= e10 ? 10 : error >= e5 ? 5 : error >= e2 ? 2 : 1) * Math.pow(10, power)
: -Math.pow(10, -power) / (error >= e10 ? 10 : error >= e5 ? 5 : error >= e2 ? 2 : 1);
}
function tickStep(start, stop, count) {
var step0 = Math.abs(stop - start) / Math.max(0, count),
step1 = Math.pow(10, Math.floor(Math.log(step0) / Math.LN10)),
error = step0 / step1;
if (error >= e10) step1 *= 10;
else if (error >= e5) step1 *= 5;
else if (error >= e2) step1 *= 2;
return stop < start ? -step1 : step1;
}
function initRange(domain, range) {
switch (arguments.length) {
case 0: break;
case 1: this.range(domain); break;
default: this.range(range).domain(domain); break;
}
return this;
}
function define(constructor, factory, prototype) {
constructor.prototype = factory.prototype = prototype;
prototype.constructor = constructor;
}
function extend(parent, definition) {
var prototype = Object.create(parent.prototype);
for (var key in definition) prototype[key] = definition[key];
return prototype;
}
function Color() {}
var darker = 0.7;
var brighter = 1 / darker;
var reI = "\\s*([+-]?\\d+)\\s*",
reN = "\\s*([+-]?\\d*\\.?\\d+(?:[eE][+-]?\\d+)?)\\s*",
reP = "\\s*([+-]?\\d*\\.?\\d+(?:[eE][+-]?\\d+)?)%\\s*",
reHex = /^#([0-9a-f]{3,8})$/,
reRgbInteger = new RegExp("^rgb\\(" + [reI, reI, reI] + "\\)$"),
reRgbPercent = new RegExp("^rgb\\(" + [reP, reP, reP] + "\\)$"),
reRgbaInteger = new RegExp("^rgba\\(" + [reI, reI, reI, reN] + "\\)$"),
reRgbaPercent = new RegExp("^rgba\\(" + [reP, reP, reP, reN] + "\\)$"),
reHslPercent = new RegExp("^hsl\\(" + [reN, reP, reP] + "\\)$"),
reHslaPercent = new RegExp("^hsla\\(" + [reN, reP, reP, reN] + "\\)$");
var named = {
aliceblue: 0xf0f8ff,
antiquewhite: 0xfaebd7,
aqua: 0x00ffff,
aquamarine: 0x7fffd4,
azure: 0xf0ffff,
beige: 0xf5f5dc,
bisque: 0xffe4c4,
black: 0x000000,
blanchedalmond: 0xffebcd,
blue: 0x0000ff,
blueviolet: 0x8a2be2,
brown: 0xa52a2a,
burlywood: 0xdeb887,
cadetblue: 0x5f9ea0,
chartreuse: 0x7fff00,
chocolate: 0xd2691e,
coral: 0xff7f50,
cornflowerblue: 0x6495ed,
cornsilk: 0xfff8dc,
crimson: 0xdc143c,
cyan: 0x00ffff,
darkblue: 0x00008b,
darkcyan: 0x008b8b,
darkgoldenrod: 0xb8860b,
darkgray: 0xa9a9a9,
darkgreen: 0x006400,
darkgrey: 0xa9a9a9,
darkkhaki: 0xbdb76b,
darkmagenta: 0x8b008b,
darkolivegreen: 0x556b2f,
darkorange: 0xff8c00,
darkorchid: 0x9932cc,
darkred: 0x8b0000,
darksalmon: 0xe9967a,
darkseagreen: 0x8fbc8f,
darkslateblue: 0x483d8b,
darkslategray: 0x2f4f4f,
darkslategrey: 0x2f4f4f,
darkturquoise: 0x00ced1,
darkviolet: 0x9400d3,
deeppink: 0xff1493,
deepskyblue: 0x00bfff,
dimgray: 0x696969,
dimgrey: 0x696969,
dodgerblue: 0x1e90ff,
firebrick: 0xb22222,
floralwhite: 0xfffaf0,
forestgreen: 0x228b22,
fuchsia: 0xff00ff,
gainsboro: 0xdcdcdc,
ghostwhite: 0xf8f8ff,
gold: 0xffd700,
goldenrod: 0xdaa520,
gray: 0x808080,
green: 0x008000,
greenyellow: 0xadff2f,
grey: 0x808080,
honeydew: 0xf0fff0,
hotpink: 0xff69b4,
indianred: 0xcd5c5c,
indigo: 0x4b0082,
ivory: 0xfffff0,
khaki: 0xf0e68c,
lavender: 0xe6e6fa,
lavenderblush: 0xfff0f5,
lawngreen: 0x7cfc00,
lemonchiffon: 0xfffacd,
lightblue: 0xadd8e6,
lightcoral: 0xf08080,
lightcyan: 0xe0ffff,
lightgoldenrodyellow: 0xfafad2,
lightgray: 0xd3d3d3,
lightgreen: 0x90ee90,
lightgrey: 0xd3d3d3,
lightpink: 0xffb6c1,
lightsalmon: 0xffa07a,
lightseagreen: 0x20b2aa,
lightskyblue: 0x87cefa,
lightslategray: 0x778899,
lightslategrey: 0x778899,
lightsteelblue: 0xb0c4de,
lightyellow: 0xffffe0,
lime: 0x00ff00,
limegreen: 0x32cd32,
linen: 0xfaf0e6,
magenta: 0xff00ff,
maroon: 0x800000,
mediumaquamarine: 0x66cdaa,
mediumblue: 0x0000cd,
mediumorchid: 0xba55d3,
mediumpurple: 0x9370db,
mediumseagreen: 0x3cb371,
mediumslateblue: 0x7b68ee,
mediumspringgreen: 0x00fa9a,
mediumturquoise: 0x48d1cc,
mediumvioletred: 0xc71585,
midnightblue: 0x191970,
mintcream: 0xf5fffa,
mistyrose: 0xffe4e1,
moccasin: 0xffe4b5,
navajowhite: 0xffdead,
navy: 0x000080,
oldlace: 0xfdf5e6,
olive: 0x808000,
olivedrab: 0x6b8e23,
orange: 0xffa500,
orangered: 0xff4500,
orchid: 0xda70d6,
palegoldenrod: 0xeee8aa,
palegreen: 0x98fb98,
paleturquoise: 0xafeeee,
palevioletred: 0xdb7093,
papayawhip: 0xffefd5,
peachpuff: 0xffdab9,
peru: 0xcd853f,
pink: 0xffc0cb,
plum: 0xdda0dd,
powderblue: 0xb0e0e6,
purple: 0x800080,
rebeccapurple: 0x663399,
red: 0xff0000,
rosybrown: 0xbc8f8f,
royalblue: 0x4169e1,
saddlebrown: 0x8b4513,
salmon: 0xfa8072,
sandybrown: 0xf4a460,
seagreen: 0x2e8b57,
seashell: 0xfff5ee,
sienna: 0xa0522d,
silver: 0xc0c0c0,
skyblue: 0x87ceeb,
slateblue: 0x6a5acd,
slategray: 0x708090,
slategrey: 0x708090,
snow: 0xfffafa,
springgreen: 0x00ff7f,
steelblue: 0x4682b4,
tan: 0xd2b48c,
teal: 0x008080,
thistle: 0xd8bfd8,
tomato: 0xff6347,
turquoise: 0x40e0d0,
violet: 0xee82ee,
wheat: 0xf5deb3,
white: 0xffffff,
whitesmoke: 0xf5f5f5,
yellow: 0xffff00,
yellowgreen: 0x9acd32
};
define(Color, color, {
copy: function(channels) {
return Object.assign(new this.constructor, this, channels);
},
displayable: function() {
return this.rgb().displayable();
},
hex: color_formatHex, // Deprecated! Use color.formatHex.
formatHex: color_formatHex,
formatHsl: color_formatHsl,
formatRgb: color_formatRgb,
toString: color_formatRgb
});
function color_formatHex() {
return this.rgb().formatHex();
}
function color_formatHsl() {
return hslConvert(this).formatHsl();
}
function color_formatRgb() {
return this.rgb().formatRgb();
}
function color(format) {
var m, l;
format = (format + "").trim().toLowerCase();
return (m = reHex.exec(format)) ? (l = m[1].length, m = parseInt(m[1], 16), l === 6 ? rgbn(m) // #ff0000
: l === 3 ? new Rgb((m >> 8 & 0xf) | (m >> 4 & 0xf0), (m >> 4 & 0xf) | (m & 0xf0), ((m & 0xf) << 4) | (m & 0xf), 1) // #f00
: l === 8 ? rgba(m >> 24 & 0xff, m >> 16 & 0xff, m >> 8 & 0xff, (m & 0xff) / 0xff) // #ff000000
: l === 4 ? rgba((m >> 12 & 0xf) | (m >> 8 & 0xf0), (m >> 8 & 0xf) | (m >> 4 & 0xf0), (m >> 4 & 0xf) | (m & 0xf0), (((m & 0xf) << 4) | (m & 0xf)) / 0xff) // #f000
: null) // invalid hex
: (m = reRgbInteger.exec(format)) ? new Rgb(m[1], m[2], m[3], 1) // rgb(255, 0, 0)
: (m = reRgbPercent.exec(format)) ? new Rgb(m[1] * 255 / 100, m[2] * 255 / 100, m[3] * 255 / 100, 1) // rgb(100%, 0%, 0%)
: (m = reRgbaInteger.exec(format)) ? rgba(m[1], m[2], m[3], m[4]) // rgba(255, 0, 0, 1)
: (m = reRgbaPercent.exec(format)) ? rgba(m[1] * 255 / 100, m[2] * 255 / 100, m[3] * 255 / 100, m[4]) // rgb(100%, 0%, 0%, 1)
: (m = reHslPercent.exec(format)) ? hsla(m[1], m[2] / 100, m[3] / 100, 1) // hsl(120, 50%, 50%)
: (m = reHslaPercent.exec(format)) ? hsla(m[1], m[2] / 100, m[3] / 100, m[4]) // hsla(120, 50%, 50%, 1)
: named.hasOwnProperty(format) ? rgbn(named[format]) // eslint-disable-line no-prototype-builtins
: format === "transparent" ? new Rgb(NaN, NaN, NaN, 0)
: null;
}
function rgbn(n) {
return new Rgb(n >> 16 & 0xff, n >> 8 & 0xff, n & 0xff, 1);
}
function rgba(r, g, b, a) {
if (a <= 0) r = g = b = NaN;
return new Rgb(r, g, b, a);
}
function rgbConvert(o) {
if (!(o instanceof Color)) o = color(o);
if (!o) return new Rgb;
o = o.rgb();
return new Rgb(o.r, o.g, o.b, o.opacity);
}
function rgb$1(r, g, b, opacity) {
return arguments.length === 1 ? rgbConvert(r) : new Rgb(r, g, b, opacity == null ? 1 : opacity);
}
function Rgb(r, g, b, opacity) {
this.r = +r;
this.g = +g;
this.b = +b;
this.opacity = +opacity;
}
define(Rgb, rgb$1, extend(Color, {
brighter: function(k) {
k = k == null ? brighter : Math.pow(brighter, k);
return new Rgb(this.r * k, this.g * k, this.b * k, this.opacity);
},
darker: function(k) {
k = k == null ? darker : Math.pow(darker, k);
return new Rgb(this.r * k, this.g * k, this.b * k, this.opacity);
},
rgb: function() {
return this;
},
displayable: function() {
return (-0.5 <= this.r && this.r < 255.5)
&& (-0.5 <= this.g && this.g < 255.5)
&& (-0.5 <= this.b && this.b < 255.5)
&& (0 <= this.opacity && this.opacity <= 1);
},
hex: rgb_formatHex, // Deprecated! Use color.formatHex.
formatHex: rgb_formatHex,
formatRgb: rgb_formatRgb,
toString: rgb_formatRgb
}));
function rgb_formatHex() {
return "#" + hex(this.r) + hex(this.g) + hex(this.b);
}
function rgb_formatRgb() {
var a = this.opacity; a = isNaN(a) ? 1 : Math.max(0, Math.min(1, a));
return (a === 1 ? "rgb(" : "rgba(")
+ Math.max(0, Math.min(255, Math.round(this.r) || 0)) + ", "
+ Math.max(0, Math.min(255, Math.round(this.g) || 0)) + ", "
+ Math.max(0, Math.min(255, Math.round(this.b) || 0))
+ (a === 1 ? ")" : ", " + a + ")");
}
function hex(value) {
value = Math.max(0, Math.min(255, Math.round(value) || 0));
return (value < 16 ? "0" : "") + value.toString(16);
}
function hsla(h, s, l, a) {
if (a <= 0) h = s = l = NaN;
else if (l <= 0 || l >= 1) h = s = NaN;
else if (s <= 0) h = NaN;
return new Hsl(h, s, l, a);
}
function hslConvert(o) {
if (o instanceof Hsl) return new Hsl(o.h, o.s, o.l, o.opacity);
if (!(o instanceof Color)) o = color(o);
if (!o) return new Hsl;
if (o instanceof Hsl) return o;
o = o.rgb();
var r = o.r / 255,
g = o.g / 255,
b = o.b / 255,
min = Math.min(r, g, b),
max = Math.max(r, g, b),
h = NaN,
s = max - min,
l = (max + min) / 2;
if (s) {
if (r === max) h = (g - b) / s + (g < b) * 6;
else if (g === max) h = (b - r) / s + 2;
else h = (r - g) / s + 4;
s /= l < 0.5 ? max + min : 2 - max - min;
h *= 60;
} else {
s = l > 0 && l < 1 ? 0 : h;
}
return new Hsl(h, s, l, o.opacity);
}
function hsl(h, s, l, opacity) {
return arguments.length === 1 ? hslConvert(h) : new Hsl(h, s, l, opacity == null ? 1 : opacity);
}
function Hsl(h, s, l, opacity) {
this.h = +h;
this.s = +s;
this.l = +l;
this.opacity = +opacity;
}
define(Hsl, hsl, extend(Color, {
brighter: function(k) {
k = k == null ? brighter : Math.pow(brighter, k);
return new Hsl(this.h, this.s, this.l * k, this.opacity);
},
darker: function(k) {
k = k == null ? darker : Math.pow(darker, k);
return new Hsl(this.h, this.s, this.l * k, this.opacity);
},
rgb: function() {
var h = this.h % 360 + (this.h < 0) * 360,
s = isNaN(h) || isNaN(this.s) ? 0 : this.s,
l = this.l,
m2 = l + (l < 0.5 ? l : 1 - l) * s,
m1 = 2 * l - m2;
return new Rgb(
hsl2rgb(h >= 240 ? h - 240 : h + 120, m1, m2),
hsl2rgb(h, m1, m2),
hsl2rgb(h < 120 ? h + 240 : h - 120, m1, m2),
this.opacity
);
},
displayable: function() {
return (0 <= this.s && this.s <= 1 || isNaN(this.s))
&& (0 <= this.l && this.l <= 1)
&& (0 <= this.opacity && this.opacity <= 1);
},
formatHsl: function() {
var a = this.opacity; a = isNaN(a) ? 1 : Math.max(0, Math.min(1, a));
return (a === 1 ? "hsl(" : "hsla(")
+ (this.h || 0) + ", "
+ (this.s || 0) * 100 + "%, "
+ (this.l || 0) * 100 + "%"
+ (a === 1 ? ")" : ", " + a + ")");
}
}));
/* From FvD 13.37, CSS Color Module Level 3 */
function hsl2rgb(h, m1, m2) {
return (h < 60 ? m1 + (m2 - m1) * h / 60
: h < 180 ? m2
: h < 240 ? m1 + (m2 - m1) * (240 - h) / 60
: m1) * 255;
}
var constant = x => () => x;
function linear$1(a, d) {
return function(t) {
return a + t * d;
};
}
function exponential(a, b, y) {
return a = Math.pow(a, y), b = Math.pow(b, y) - a, y = 1 / y, function(t) {
return Math.pow(a + t * b, y);
};
}
function gamma(y) {
return (y = +y) === 1 ? nogamma : function(a, b) {
return b - a ? exponential(a, b, y) : constant(isNaN(a) ? b : a);
};
}
function nogamma(a, b) {
var d = b - a;
return d ? linear$1(a, d) : constant(isNaN(a) ? b : a);
}
var rgb = (function rgbGamma(y) {
var color = gamma(y);
function rgb(start, end) {
var r = color((start = rgb$1(start)).r, (end = rgb$1(end)).r),
g = color(start.g, end.g),
b = color(start.b, end.b),
opacity = nogamma(start.opacity, end.opacity);
return function(t) {
start.r = r(t);
start.g = g(t);
start.b = b(t);
start.opacity = opacity(t);
return start + "";
};
}
rgb.gamma = rgbGamma;
return rgb;
})(1);
function numberArray(a, b) {
if (!b) b = [];
var n = a ? Math.min(b.length, a.length) : 0,
c = b.slice(),
i;
return function(t) {
for (i = 0; i < n; ++i) c[i] = a[i] * (1 - t) + b[i] * t;
return c;
};
}
function isNumberArray(x) {
return ArrayBuffer.isView(x) && !(x instanceof DataView);
}
function genericArray(a, b) {
var nb = b ? b.length : 0,
na = a ? Math.min(nb, a.length) : 0,
x = new Array(na),
c = new Array(nb),
i;
for (i = 0; i < na; ++i) x[i] = interpolate(a[i], b[i]);
for (; i < nb; ++i) c[i] = b[i];
return function(t) {
for (i = 0; i < na; ++i) c[i] = x[i](t);
return c;
};
}
function date(a, b) {
var d = new Date;
return a = +a, b = +b, function(t) {
return d.setTime(a * (1 - t) + b * t), d;
};
}
function interpolateNumber(a, b) {
return a = +a, b = +b, function(t) {
return a * (1 - t) + b * t;
};
}
function object(a, b) {
var i = {},
c = {},
k;
if (a === null || typeof a !== "object") a = {};
if (b === null || typeof b !== "object") b = {};
for (k in b) {
if (k in a) {
i[k] = interpolate(a[k], b[k]);
} else {
c[k] = b[k];
}
}
return function(t) {
for (k in i) c[k] = i[k](t);
return c;
};
}
var reA = /[-+]?(?:\d+\.?\d*|\.?\d+)(?:[eE][-+]?\d+)?/g,
reB = new RegExp(reA.source, "g");
function zero(b) {
return function() {
return b;
};
}
function one(b) {
return function(t) {
return b(t) + "";
};
}
function string(a, b) {
var bi = reA.lastIndex = reB.lastIndex = 0, // scan index for next number in b
am, // current match in a
bm, // current match in b
bs, // string preceding current number in b, if any
i = -1, // index in s
s = [], // string constants and placeholders
q = []; // number interpolators
// Coerce inputs to strings.
a = a + "", b = b + "";
// Interpolate pairs of numbers in a & b.
while ((am = reA.exec(a))
&& (bm = reB.exec(b))) {
if ((bs = bm.index) > bi) { // a string precedes the next number in b
bs = b.slice(bi, bs);
if (s[i]) s[i] += bs; // coalesce with previous string
else s[++i] = bs;
}
if ((am = am[0]) === (bm = bm[0])) { // numbers in a & b match
if (s[i]) s[i] += bm; // coalesce with previous string
else s[++i] = bm;
} else { // interpolate non-matching numbers
s[++i] = null;
q.push({i: i, x: interpolateNumber(am, bm)});
}
bi = reB.lastIndex;
}
// Add remains of b.
if (bi < b.length) {
bs = b.slice(bi);
if (s[i]) s[i] += bs; // coalesce with previous string
else s[++i] = bs;
}
// Special optimization for only a single match.
// Otherwise, interpolate each of the numbers and rejoin the string.
return s.length < 2 ? (q[0]
? one(q[0].x)
: zero(b))
: (b = q.length, function(t) {
for (var i = 0, o; i < b; ++i) s[(o = q[i]).i] = o.x(t);
return s.join("");
});
}
function interpolate(a, b) {
var t = typeof b, c;
return b == null || t === "boolean" ? constant(b)
: (t === "number" ? interpolateNumber
: t === "string" ? ((c = color(b)) ? (b = c, rgb) : string)
: b instanceof color ? rgb
: b instanceof Date ? date
: isNumberArray(b) ? numberArray
: Array.isArray(b) ? genericArray
: typeof b.valueOf !== "function" && typeof b.toString !== "function" || isNaN(b) ? object
: interpolateNumber)(a, b);
}
function interpolateRound(a, b) {
return a = +a, b = +b, function(t) {
return Math.round(a * (1 - t) + b * t);
};
}
function constants(x) {
return function() {
return x;
};
}
function number(x) {
return +x;
}
var unit = [0, 1];
function identity$1(x) {
return x;
}
function normalize(a, b) {
return (b -= (a = +a))
? function(x) { return (x - a) / b; }
: constants(isNaN(b) ? NaN : 0.5);
}
function clamper(a, b) {
var t;
if (a > b) t = a, a = b, b = t;
return function(x) { return Math.max(a, Math.min(b, x)); };
}
// normalize(a, b)(x) takes a domain value x in [a,b] and returns the corresponding parameter t in [0,1].
// interpolate(a, b)(t) takes a parameter t in [0,1] and returns the corresponding range value x in [a,b].
function bimap(domain, range, interpolate) {
var d0 = domain[0], d1 = domain[1], r0 = range[0], r1 = range[1];
if (d1 < d0) d0 = normalize(d1, d0), r0 = interpolate(r1, r0);
else d0 = normalize(d0, d1), r0 = interpolate(r0, r1);
return function(x) { return r0(d0(x)); };
}
function polymap(domain, range, interpolate) {
var j = Math.min(domain.length, range.length) - 1,
d = new Array(j),
r = new Array(j),
i = -1;
// Reverse descending domains.
if (domain[j] < domain[0]) {
domain = domain.slice().reverse();
range = range.slice().reverse();
}
while (++i < j) {
d[i] = normalize(domain[i], domain[i + 1]);
r[i] = interpolate(range[i], range[i + 1]);
}
return function(x) {
var i = bisectRight(domain, x, 1, j) - 1;
return r[i](d[i](x));
};
}
function copy(source, target) {
return target
.domain(source.domain())
.range(source.range())
.interpolate(source.interpolate())
.clamp(source.clamp())
.unknown(source.unknown());
}
function transformer() {
var domain = unit,
range = unit,
interpolate$1 = interpolate,
transform,
untransform,
unknown,
clamp = identity$1,
piecewise,
output,
input;
function rescale() {
var n = Math.min(domain.length, range.length);
if (clamp !== identity$1) clamp = clamper(domain[0], domain[n - 1]);
piecewise = n > 2 ? polymap : bimap;
output = input = null;
return scale;
}
function scale(x) {
return x == null || isNaN(x = +x) ? unknown : (output || (output = piecewise(domain.map(transform), range, interpolate$1)))(transform(clamp(x)));
}
scale.invert = function(y) {
return clamp(untransform((input || (input = piecewise(range, domain.map(transform), interpolateNumber)))(y)));
};
scale.domain = function(_) {
return arguments.length ? (domain = Array.from(_, number), rescale()) : domain.slice();
};
scale.range = function(_) {
return arguments.length ? (range = Array.from(_), rescale()) : range.slice();
};
scale.rangeRound = function(_) {
return range = Array.from(_), interpolate$1 = interpolateRound, rescale();
};
scale.clamp = function(_) {
return arguments.length ? (clamp = _ ? true : identity$1, rescale()) : clamp !== identity$1;
};
scale.interpolate = function(_) {
return arguments.length ? (interpolate$1 = _, rescale()) : interpolate$1;
};
scale.unknown = function(_) {
return arguments.length ? (unknown = _, scale) : unknown;
};
return function(t, u) {
transform = t, untransform = u;
return rescale();
};
}
function continuous() {
return transformer()(identity$1, identity$1);
}
function formatDecimal(x) {
return Math.abs(x = Math.round(x)) >= 1e21
? x.toLocaleString("en").replace(/,/g, "")
: x.toString(10);
}
// Computes the decimal coefficient and exponent of the specified number x with
// significant digits p, where x is positive and p is in [1, 21] or undefined.
// For example, formatDecimalParts(1.23) returns ["123", 0].
function formatDecimalParts(x, p) {
if ((i = (x = p ? x.toExponential(p - 1) : x.toExponential()).indexOf("e")) < 0) return null; // NaN, ±Infinity
var i, coefficient = x.slice(0, i);
// The string returned by toExponential either has the form \d\.\d+e[-+]\d+
// (e.g., 1.2e+3) or the form \de[-+]\d+ (e.g., 1e+3).
return [
coefficient.length > 1 ? coefficient[0] + coefficient.slice(2) : coefficient,
+x.slice(i + 1)
];
}
function exponent(x) {
return x = formatDecimalParts(Math.abs(x)), x ? x[1] : NaN;
}
function formatGroup(grouping, thousands) {
return function(value, width) {
var i = value.length,
t = [],
j = 0,
g = grouping[0],
length = 0;
while (i > 0 && g > 0) {
if (length + g + 1 > width) g = Math.max(1, width - length);
t.push(value.substring(i -= g, i + g));
if ((length += g + 1) > width) break;
g = grouping[j = (j + 1) % grouping.length];
}
return t.reverse().join(thousands);
};
}
function formatNumerals(numerals) {
return function(value) {
return value.replace(/[0-9]/g, function(i) {
return numerals[+i];
});
};
}
// [[fill]align][sign][symbol][0][width][,][.precision][~][type]
var re = /^(?:(.)?([<>=^]))?([+\-( ])?([$#])?(0)?(\d+)?(,)?(\.\d+)?(~)?([a-z%])?$/i;
function formatSpecifier(specifier) {
if (!(match = re.exec(specifier))) throw new Error("invalid format: " + specifier);
var match;
return new FormatSpecifier({
fill: match[1],
align: match[2],
sign: match[3],
symbol: match[4],
zero: match[5],
width: match[6],
comma: match[7],
precision: match[8] && match[8].slice(1),
trim: match[9],
type: match[10]
});
}
formatSpecifier.prototype = FormatSpecifier.prototype; // instanceof
function FormatSpecifier(specifier) {
this.fill = specifier.fill === undefined ? " " : specifier.fill + "";
this.align = specifier.align === undefined ? ">" : specifier.align + "";
this.sign = specifier.sign === undefined ? "-" : specifier.sign + "";
this.symbol = specifier.symbol === undefined ? "" : specifier.symbol + "";
this.zero = !!specifier.zero;
this.width = specifier.width === undefined ? undefined : +specifier.width;
this.comma = !!specifier.comma;
this.precision = specifier.precision === undefined ? undefined : +specifier.precision;
this.trim = !!specifier.trim;
this.type = specifier.type === undefined ? "" : specifier.type + "";
}
FormatSpecifier.prototype.toString = function() {
return this.fill
+ this.align
+ this.sign
+ this.symbol
+ (this.zero ? "0" : "")
+ (this.width === undefined ? "" : Math.max(1, this.width | 0))
+ (this.comma ? "," : "")
+ (this.precision === undefined ? "" : "." + Math.max(0, this.precision | 0))
+ (this.trim ? "~" : "")
+ this.type;
};
// Trims insignificant zeros, e.g., replaces 1.2000k with 1.2k.
function formatTrim(s) {
out: for (var n = s.length, i = 1, i0 = -1, i1; i < n; ++i) {
switch (s[i]) {
case ".": i0 = i1 = i; break;
case "0": if (i0 === 0) i0 = i; i1 = i; break;
default: if (!+s[i]) break out; if (i0 > 0) i0 = 0; break;
}
}
return i0 > 0 ? s.slice(0, i0) + s.slice(i1 + 1) : s;
}
var prefixExponent;
function formatPrefixAuto(x, p) {
var d = formatDecimalParts(x, p);
if (!d) return x + "";
var coefficient = d[0],
exponent = d[1],
i = exponent - (prefixExponent = Math.max(-8, Math.min(8, Math.floor(exponent / 3))) * 3) + 1,
n = coefficient.length;
return i === n ? coefficient
: i > n ? coefficient + new Array(i - n + 1).join("0")
: i > 0 ? coefficient.slice(0, i) + "." + coefficient.slice(i)
: "0." + new Array(1 - i).join("0") + formatDecimalParts(x, Math.max(0, p + i - 1))[0]; // less than 1y!
}
function formatRounded(x, p) {
var d = formatDecimalParts(x, p);
if (!d) return x + "";
var coefficient = d[0],
exponent = d[1];
return exponent < 0 ? "0." + new Array(-exponent).join("0") + coefficient
: coefficient.length > exponent + 1 ? coefficient.slice(0, exponent + 1) + "." + coefficient.slice(exponent + 1)
: coefficient + new Array(exponent - coefficient.length + 2).join("0");
}
var formatTypes = {
"%": (x, p) => (x * 100).toFixed(p),
"b": (x) => Math.round(x).toString(2),
"c": (x) => x + "",
"d": formatDecimal,
"e": (x, p) => x.toExponential(p),
"f": (x, p) => x.toFixed(p),
"g": (x, p) => x.toPrecision(p),
"o": (x) => Math.round(x).toString(8),
"p": (x, p) => formatRounded(x * 100, p),
"r": formatRounded,
"s": formatPrefixAuto,
"X": (x) => Math.round(x).toString(16).toUpperCase(),
"x": (x) => Math.round(x).toString(16)
};
function identity(x) {
return x;
}
var map = Array.prototype.map,
prefixes = ["y","z","a","f","p","n","µ","m","","k","M","G","T","P","E","Z","Y"];
function formatLocale(locale) {
var group = locale.grouping === undefined || locale.thousands === undefined ? identity : formatGroup(map.call(locale.grouping, Number), locale.thousands + ""),
currencyPrefix = locale.currency === undefined ? "" : locale.currency[0] + "",
currencySuffix = locale.currency === undefined ? "" : locale.currency[1] + "",
decimal = locale.decimal === undefined ? "." : locale.decimal + "",
numerals = locale.numerals === undefined ? identity : formatNumerals(map.call(locale.numerals, String)),
percent = locale.percent === undefined ? "%" : locale.percent + "",
minus = locale.minus === undefined ? "−" : locale.minus + "",
nan = locale.nan === undefined ? "NaN" : locale.nan + "";
function newFormat(specifier) {
specifier = formatSpecifier(specifier);
var fill = specifier.fill,
align = specifier.align,
sign = specifier.sign,
symbol = specifier.symbol,
zero = specifier.zero,
width = specifier.width,
comma = specifier.comma,
precision = specifier.precision,
trim = specifier.trim,
type = specifier.type;
// The "n" type is an alias for ",g".
if (type === "n") comma = true, type = "g";
// The "" type, and any invalid type, is an alias for ".12~g".
else if (!formatTypes[type]) precision === undefined && (precision = 12), trim = true, type = "g";
// If zero fill is specified, padding goes after sign and before digits.
if (zero || (fill === "0" && align === "=")) zero = true, fill = "0", align = "=";
// Compute the prefix and suffix.
// For SI-prefix, the suffix is lazily computed.
var prefix = symbol === "$" ? currencyPrefix : symbol === "#" && /[boxX]/.test(type) ? "0" + type.toLowerCase() : "",
suffix = symbol === "$" ? currencySuffix : /[%p]/.test(type) ? percent : "";
// What format function should we use?
// Is this an integer type?
// Can this type generate exponential notation?
var formatType = formatTypes[type],
maybeSuffix = /[defgprs%]/.test(type);
// Set the default precision if not specified,
// or clamp the specified precision to the supported range.
// For significant precision, it must be in [1, 21].
// For fixed precision, it must be in [0, 20].
precision = precision === undefined ? 6
: /[gprs]/.test(type) ? Math.max(1, Math.min(21, precision))
: Math.max(0, Math.min(20, precision));
function format(value) {
var valuePrefix = prefix,
valueSuffix = suffix,
i, n, c;
if (type === "c") {
valueSuffix = formatType(value) + valueSuffix;
value = "";
} else {
value = +value;
// Determine the sign. -0 is not less than 0, but 1 / -0 is!
var valueNegative = value < 0 || 1 / value < 0;
// Perform the initial formatting.
value = isNaN(value) ? nan : formatType(Math.abs(value), precision);
// Trim insignificant zeros.
if (trim) value = formatTrim(value);
// If a negative value rounds to zero after formatting, and no explicit positive sign is requested, hide the sign.
if (valueNegative && +value === 0 && sign !== "+") valueNegative = false;
// Compute the prefix and suffix.
valuePrefix = (valueNegative ? (sign === "(" ? sign : minus) : sign === "-" || sign === "(" ? "" : sign) + valuePrefix;
valueSuffix = (type === "s" ? prefixes[8 + prefixExponent / 3] : "") + valueSuffix + (valueNegative && sign === "(" ? ")" : "");
// Break the formatted value into the integer “value” part that can be
// grouped, and fractional or exponential “suffix” part that is not.
if (maybeSuffix) {
i = -1, n = value.length;
while (++i < n) {
if (c = value.charCodeAt(i), 48 > c || c > 57) {
valueSuffix = (c === 46 ? decimal + value.slice(i + 1) : value.slice(i)) + valueSuffix;
value = value.slice(0, i);
break;
}
}
}
}
// If the fill character is not "0", grouping is applied before padding.
if (comma && !zero) value = group(value, Infinity);
// Compute the padding.
var length = valuePrefix.length + value.length + valueSuffix.length,
padding = length < width ? new Array(width - length + 1).join(fill) : "";
// If the fill character is "0", grouping is applied after padding.
if (comma && zero) value = group(padding + value, padding.length ? width - valueSuffix.length : Infinity), padding = "";
// Reconstruct the final output based on the desired alignment.
switch (align) {
case "<": value = valuePrefix + value + valueSuffix + padding; break;
case "=": value = valuePrefix + padding + value + valueSuffix; break;
case "^": value = padding.slice(0, length = padding.length >> 1) + valuePrefix + value + valueSuffix + padding.slice(length); break;
default: value = padding + valuePrefix + value + valueSuffix; break;
}
return numerals(value);
}
format.toString = function() {
return specifier + "";
};
return format;
}
function formatPrefix(specifier, value) {
var f = newFormat((specifier = formatSpecifier(specifier), specifier.type = "f", specifier)),
e = Math.max(-8, Math.min(8, Math.floor(exponent(value) / 3))) * 3,
k = Math.pow(10, -e),
prefix = prefixes[8 + e / 3];
return function(value) {
return f(k * value) + prefix;
};
}
return {
format: newFormat,
formatPrefix: formatPrefix
};
}
var locale;
var format;
var formatPrefix;
defaultLocale({
thousands: ",",
grouping: [3],
currency: ["$", ""]
});
function defaultLocale(definition) {
locale = formatLocale(definition);
format = locale.format;
formatPrefix = locale.formatPrefix;
return locale;
}
function precisionFixed(step) {
return Math.max(0, -exponent(Math.abs(step)));
}
function precisionPrefix(step, value) {
return Math.max(0, Math.max(-8, Math.min(8, Math.floor(exponent(value) / 3))) * 3 - exponent(Math.abs(step)));
}
function precisionRound(step, max) {
step = Math.abs(step), max = Math.abs(max) - step;
return Math.max(0, exponent(max) - exponent(step)) + 1;
}
function tickFormat(start, stop, count, specifier) {
var step = tickStep(start, stop, count),
precision;
specifier = formatSpecifier(specifier == null ? ",f" : specifier);
switch (specifier.type) {
case "s": {
var value = Math.max(Math.abs(start), Math.abs(stop));
if (specifier.precision == null && !isNaN(precision = precisionPrefix(step, value))) specifier.precision = precision;
return formatPrefix(specifier, value);
}
case "":
case "e":
case "g":
case "p":
case "r": {
if (specifier.precision == null && !isNaN(precision = precisionRound(step, Math.max(Math.abs(start), Math.abs(stop))))) specifier.precision = precision - (specifier.type === "e");
break;
}
case "f":
case "%": {
if (specifier.precision == null && !isNaN(precision = precisionFixed(step))) specifier.precision = precision - (specifier.type === "%") * 2;
break;
}
}
return format(specifier);
}
function linearish(scale) {
var domain = scale.domain;
scale.ticks = function(count) {
var d = domain();
return ticks(d[0], d[d.length - 1], count == null ? 10 : count);
};
scale.tickFormat = function(count, specifier) {
var d = domain();
return tickFormat(d[0], d[d.length - 1], count == null ? 10 : count, specifier);
};
scale.nice = function(count) {
if (count == null) count = 10;
var d = domain();
var i0 = 0;
var i1 = d.length - 1;
var start = d[i0];
var stop = d[i1];
var prestep;
var step;
var maxIter = 10;
if (stop < start) {
step = start, start = stop, stop = step;
step = i0, i0 = i1, i1 = step;
}
while (maxIter-- > 0) {
step = tickIncrement(start, stop, count);
if (step === prestep) {
d[i0] = start;
d[i1] = stop;
return domain(d);
} else if (step > 0) {
start = Math.floor(start / step) * step;
stop = Math.ceil(stop / step) * step;
} else if (step < 0) {
start = Math.ceil(start * step) / step;
stop = Math.floor(stop * step) / step;
} else {
break;
}
prestep = step;
}
return scale;
};
return scale;
}
function linear() {
var scale = continuous();
scale.copy = function() {
return copy(scale, linear());
};
initRange.apply(scale, arguments);
return linearish(scale);
}
/**
* Constructs a new barycentric converter. Uses an equilateral triangle with unit height.
*/
function barycentric() {
/** rotation angle in degrees */
let rotation = 0;
let a = (d) => d[0];
let b = (d) => d[1];
let c = (d) => d[2];
// domain scales
const scaleA = linear().domain([0, 1]);
const scaleB = linear().domain([0, 1]);
const scaleC = linear().domain([0, 1]);
const radian = Math.PI / 180;
const [vA, vB, vC] = [-90, 150, 30].map((d) => [
Math.cos(d * radian),
Math.sin(d * radian),
]);
/**
* Converts barycentric coordinates to cartesian coordinates
*/
function barycentricToCartesian([a, b, c]) {
return [
a * vA[0] + b * vB[0] + c * vC[0],
a * vA[1] + b * vB[1] + c * vC[1],
];
}
/**
* Applies rotation to cartesian coordinates
*/
function rotate(x, y) {
const rad = (rotation * Math.PI) / 180;
const ca = Math.cos(rad);
const sa = Math.sin(rad);
return [x * ca + y * sa, y * ca - x * sa];
}
/**
* Computes normalized ternary values
*/
function normalize([a, b, c]) {
if (Number.isNaN(a) || Number.isNaN(b) || Number.isNaN(c)) {
throw new Error("Invalid ternary coordinates: values must be numbers");
}
const [na, nb, nc] = [Number(a), Number(b), Number(c)];
const total = na + nb + nc;
return total === 0 ? [0, 0, 0] : [na / total, nb / total, nc / total];
}
const barycentric = function (d) {
const [dA, dB, dC] = normalize([a(d), b(d), c(d)]);
const [x, y] = barycentricToCartesian([scaleA(dA), scaleB(dB), scaleC(dC)]);
return rotate(x, y);
};
barycentric.unscaled = function (d) {
const [dA, dB, dC] = normalize(d);
const [x, y] = barycentricToCartesian([dA, dB, dC]);
return rotate(x, y);
};
/**
* Computes ternary values from coordinates
*/
barycentric.invert = function ([x, y]) {
// Remove rotation
const rad = (-rotation * Math.PI) / 180;
const ca = Math.cos(rad);
const sa = Math.sin(rad);
const rx = x * ca + y * sa;
const ry = y * ca - x * sa;
// en.wikipedia.org/wiki/Barycentric_coordinate_system#Conversion_between_barycentric_and_Cartesian_coordinates
const [xA, yA] = vA, [xB, yB] = vB, [xC, yC] = vC;
const yByC = yB - yC, xCxB = xC - xB, xAxC = xA - xC, yAyC = yA - yC, yCyA = yC - yA, xxC = rx - xC, yyC = ry - yC;
const d = yByC * xAxC + xCxB * yAyC, lambda1 = Math.abs((yByC * xxC + xCxB * yyC) / d), lambda2 = Math.abs((yCyA * xxC + xAxC * yyC) / d), lambda3 = Math.abs(1 - lambda1 - lambda2);
// Invert through scales
return [
scaleA.invert(lambda1),
scaleB.invert(lambda2),
scaleC.invert(lambda3),
];
};
function aFn(fn) {
return fn ? ((a = fn), barycentric) : a;
}
barycentric.a = aFn;
function bFn(fn) {
return fn ? ((b = fn), barycentric) : b;
}
barycentric.b = bFn;
function cFn(fn) {
return fn ? ((c = fn), barycentric) : c;
}
barycentric.c = cFn;
function rotationFn(_) {
if (!arguments.len