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- // https://d3js.org/d3-contour/ v4.0.2 Copyright 2012-2023 Mike Bostock
- (function (global, factory) {
- typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports, require('d3-array')) :
- typeof define === 'function' && define.amd ? define(['exports', 'd3-array'], factory) :
- (global = typeof globalThis !== 'undefined' ? globalThis : global || self, factory(global.d3 = global.d3 || {}, global.d3));
- })(this, (function (exports, d3Array) { 'use strict';
-
- var array = Array.prototype;
-
- var slice = array.slice;
-
- function ascending(a, b) {
- return a - b;
- }
-
- function area(ring) {
- var i = 0, n = ring.length, area = ring[n - 1][1] * ring[0][0] - ring[n - 1][0] * ring[0][1];
- while (++i < n) area += ring[i - 1][1] * ring[i][0] - ring[i - 1][0] * ring[i][1];
- return area;
- }
-
- var constant = x => () => x;
-
- function contains(ring, hole) {
- var i = -1, n = hole.length, c;
- while (++i < n) if (c = ringContains(ring, hole[i])) return c;
- return 0;
- }
-
- function ringContains(ring, point) {
- var x = point[0], y = point[1], contains = -1;
- for (var i = 0, n = ring.length, j = n - 1; i < n; j = i++) {
- var pi = ring[i], xi = pi[0], yi = pi[1], pj = ring[j], xj = pj[0], yj = pj[1];
- if (segmentContains(pi, pj, point)) return 0;
- if (((yi > y) !== (yj > y)) && ((x < (xj - xi) * (y - yi) / (yj - yi) + xi))) contains = -contains;
- }
- return contains;
- }
-
- function segmentContains(a, b, c) {
- var i; return collinear(a, b, c) && within(a[i = +(a[0] === b[0])], c[i], b[i]);
- }
-
- function collinear(a, b, c) {
- return (b[0] - a[0]) * (c[1] - a[1]) === (c[0] - a[0]) * (b[1] - a[1]);
- }
-
- function within(p, q, r) {
- return p <= q && q <= r || r <= q && q <= p;
- }
-
- function noop() {}
-
- var cases = [
- [],
- [[[1.0, 1.5], [0.5, 1.0]]],
- [[[1.5, 1.0], [1.0, 1.5]]],
- [[[1.5, 1.0], [0.5, 1.0]]],
- [[[1.0, 0.5], [1.5, 1.0]]],
- [[[1.0, 1.5], [0.5, 1.0]], [[1.0, 0.5], [1.5, 1.0]]],
- [[[1.0, 0.5], [1.0, 1.5]]],
- [[[1.0, 0.5], [0.5, 1.0]]],
- [[[0.5, 1.0], [1.0, 0.5]]],
- [[[1.0, 1.5], [1.0, 0.5]]],
- [[[0.5, 1.0], [1.0, 0.5]], [[1.5, 1.0], [1.0, 1.5]]],
- [[[1.5, 1.0], [1.0, 0.5]]],
- [[[0.5, 1.0], [1.5, 1.0]]],
- [[[1.0, 1.5], [1.5, 1.0]]],
- [[[0.5, 1.0], [1.0, 1.5]]],
- []
- ];
-
- function Contours() {
- var dx = 1,
- dy = 1,
- threshold = d3Array.thresholdSturges,
- smooth = smoothLinear;
-
- function contours(values) {
- var tz = threshold(values);
-
- // Convert number of thresholds into uniform thresholds.
- if (!Array.isArray(tz)) {
- const e = d3Array.extent(values, finite);
- tz = d3Array.ticks(...d3Array.nice(e[0], e[1], tz), tz);
- while (tz[tz.length - 1] >= e[1]) tz.pop();
- while (tz[1] < e[0]) tz.shift();
- } else {
- tz = tz.slice().sort(ascending);
- }
-
- return tz.map(value => contour(values, value));
- }
-
- // Accumulate, smooth contour rings, assign holes to exterior rings.
- // Based on https://github.com/mbostock/shapefile/blob/v0.6.2/shp/polygon.js
- function contour(values, value) {
- const v = value == null ? NaN : +value;
- if (isNaN(v)) throw new Error(`invalid value: ${value}`);
-
- var polygons = [],
- holes = [];
-
- isorings(values, v, function(ring) {
- smooth(ring, values, v);
- if (area(ring) > 0) polygons.push([ring]);
- else holes.push(ring);
- });
-
- holes.forEach(function(hole) {
- for (var i = 0, n = polygons.length, polygon; i < n; ++i) {
- if (contains((polygon = polygons[i])[0], hole) !== -1) {
- polygon.push(hole);
- return;
- }
- }
- });
-
- return {
- type: "MultiPolygon",
- value: value,
- coordinates: polygons
- };
- }
-
- // Marching squares with isolines stitched into rings.
- // Based on https://github.com/topojson/topojson-client/blob/v3.0.0/src/stitch.js
- function isorings(values, value, callback) {
- var fragmentByStart = new Array,
- fragmentByEnd = new Array,
- x, y, t0, t1, t2, t3;
-
- // Special case for the first row (y = -1, t2 = t3 = 0).
- x = y = -1;
- t1 = above(values[0], value);
- cases[t1 << 1].forEach(stitch);
- while (++x < dx - 1) {
- t0 = t1, t1 = above(values[x + 1], value);
- cases[t0 | t1 << 1].forEach(stitch);
- }
- cases[t1 << 0].forEach(stitch);
-
- // General case for the intermediate rows.
- while (++y < dy - 1) {
- x = -1;
- t1 = above(values[y * dx + dx], value);
- t2 = above(values[y * dx], value);
- cases[t1 << 1 | t2 << 2].forEach(stitch);
- while (++x < dx - 1) {
- t0 = t1, t1 = above(values[y * dx + dx + x + 1], value);
- t3 = t2, t2 = above(values[y * dx + x + 1], value);
- cases[t0 | t1 << 1 | t2 << 2 | t3 << 3].forEach(stitch);
- }
- cases[t1 | t2 << 3].forEach(stitch);
- }
-
- // Special case for the last row (y = dy - 1, t0 = t1 = 0).
- x = -1;
- t2 = values[y * dx] >= value;
- cases[t2 << 2].forEach(stitch);
- while (++x < dx - 1) {
- t3 = t2, t2 = above(values[y * dx + x + 1], value);
- cases[t2 << 2 | t3 << 3].forEach(stitch);
- }
- cases[t2 << 3].forEach(stitch);
-
- function stitch(line) {
- var start = [line[0][0] + x, line[0][1] + y],
- end = [line[1][0] + x, line[1][1] + y],
- startIndex = index(start),
- endIndex = index(end),
- f, g;
- if (f = fragmentByEnd[startIndex]) {
- if (g = fragmentByStart[endIndex]) {
- delete fragmentByEnd[f.end];
- delete fragmentByStart[g.start];
- if (f === g) {
- f.ring.push(end);
- callback(f.ring);
- } else {
- fragmentByStart[f.start] = fragmentByEnd[g.end] = {start: f.start, end: g.end, ring: f.ring.concat(g.ring)};
- }
- } else {
- delete fragmentByEnd[f.end];
- f.ring.push(end);
- fragmentByEnd[f.end = endIndex] = f;
- }
- } else if (f = fragmentByStart[endIndex]) {
- if (g = fragmentByEnd[startIndex]) {
- delete fragmentByStart[f.start];
- delete fragmentByEnd[g.end];
- if (f === g) {
- f.ring.push(end);
- callback(f.ring);
- } else {
- fragmentByStart[g.start] = fragmentByEnd[f.end] = {start: g.start, end: f.end, ring: g.ring.concat(f.ring)};
- }
- } else {
- delete fragmentByStart[f.start];
- f.ring.unshift(start);
- fragmentByStart[f.start = startIndex] = f;
- }
- } else {
- fragmentByStart[startIndex] = fragmentByEnd[endIndex] = {start: startIndex, end: endIndex, ring: [start, end]};
- }
- }
- }
-
- function index(point) {
- return point[0] * 2 + point[1] * (dx + 1) * 4;
- }
-
- function smoothLinear(ring, values, value) {
- ring.forEach(function(point) {
- var x = point[0],
- y = point[1],
- xt = x | 0,
- yt = y | 0,
- v1 = valid(values[yt * dx + xt]);
- if (x > 0 && x < dx && xt === x) {
- point[0] = smooth1(x, valid(values[yt * dx + xt - 1]), v1, value);
- }
- if (y > 0 && y < dy && yt === y) {
- point[1] = smooth1(y, valid(values[(yt - 1) * dx + xt]), v1, value);
- }
- });
- }
-
- contours.contour = contour;
-
- contours.size = function(_) {
- if (!arguments.length) return [dx, dy];
- var _0 = Math.floor(_[0]), _1 = Math.floor(_[1]);
- if (!(_0 >= 0 && _1 >= 0)) throw new Error("invalid size");
- return dx = _0, dy = _1, contours;
- };
-
- contours.thresholds = function(_) {
- return arguments.length ? (threshold = typeof _ === "function" ? _ : Array.isArray(_) ? constant(slice.call(_)) : constant(_), contours) : threshold;
- };
-
- contours.smooth = function(_) {
- return arguments.length ? (smooth = _ ? smoothLinear : noop, contours) : smooth === smoothLinear;
- };
-
- return contours;
- }
-
- // When computing the extent, ignore infinite values (as well as invalid ones).
- function finite(x) {
- return isFinite(x) ? x : NaN;
- }
-
- // Is the (possibly invalid) x greater than or equal to the (known valid) value?
- // Treat any invalid value as below negative infinity.
- function above(x, value) {
- return x == null ? false : +x >= value;
- }
-
- // During smoothing, treat any invalid value as negative infinity.
- function valid(v) {
- return v == null || isNaN(v = +v) ? -Infinity : v;
- }
-
- function smooth1(x, v0, v1, value) {
- const a = value - v0;
- const b = v1 - v0;
- const d = isFinite(a) || isFinite(b) ? a / b : Math.sign(a) / Math.sign(b);
- return isNaN(d) ? x : x + d - 0.5;
- }
-
- function defaultX(d) {
- return d[0];
- }
-
- function defaultY(d) {
- return d[1];
- }
-
- function defaultWeight() {
- return 1;
- }
-
- function density() {
- var x = defaultX,
- y = defaultY,
- weight = defaultWeight,
- dx = 960,
- dy = 500,
- r = 20, // blur radius
- k = 2, // log2(grid cell size)
- o = r * 3, // grid offset, to pad for blur
- n = (dx + o * 2) >> k, // grid width
- m = (dy + o * 2) >> k, // grid height
- threshold = constant(20);
-
- function grid(data) {
- var values = new Float32Array(n * m),
- pow2k = Math.pow(2, -k),
- i = -1;
-
- for (const d of data) {
- var xi = (x(d, ++i, data) + o) * pow2k,
- yi = (y(d, i, data) + o) * pow2k,
- wi = +weight(d, i, data);
- if (wi && xi >= 0 && xi < n && yi >= 0 && yi < m) {
- var x0 = Math.floor(xi),
- y0 = Math.floor(yi),
- xt = xi - x0 - 0.5,
- yt = yi - y0 - 0.5;
- values[x0 + y0 * n] += (1 - xt) * (1 - yt) * wi;
- values[x0 + 1 + y0 * n] += xt * (1 - yt) * wi;
- values[x0 + 1 + (y0 + 1) * n] += xt * yt * wi;
- values[x0 + (y0 + 1) * n] += (1 - xt) * yt * wi;
- }
- }
-
- d3Array.blur2({data: values, width: n, height: m}, r * pow2k);
- return values;
- }
-
- function density(data) {
- var values = grid(data),
- tz = threshold(values),
- pow4k = Math.pow(2, 2 * k);
-
- // Convert number of thresholds into uniform thresholds.
- if (!Array.isArray(tz)) {
- tz = d3Array.ticks(Number.MIN_VALUE, d3Array.max(values) / pow4k, tz);
- }
-
- return Contours()
- .size([n, m])
- .thresholds(tz.map(d => d * pow4k))
- (values)
- .map((c, i) => (c.value = +tz[i], transform(c)));
- }
-
- density.contours = function(data) {
- var values = grid(data),
- contours = Contours().size([n, m]),
- pow4k = Math.pow(2, 2 * k),
- contour = value => {
- value = +value;
- var c = transform(contours.contour(values, value * pow4k));
- c.value = value; // preserve exact threshold value
- return c;
- };
- Object.defineProperty(contour, "max", {get: () => d3Array.max(values) / pow4k});
- return contour;
- };
-
- function transform(geometry) {
- geometry.coordinates.forEach(transformPolygon);
- return geometry;
- }
-
- function transformPolygon(coordinates) {
- coordinates.forEach(transformRing);
- }
-
- function transformRing(coordinates) {
- coordinates.forEach(transformPoint);
- }
-
- // TODO Optimize.
- function transformPoint(coordinates) {
- coordinates[0] = coordinates[0] * Math.pow(2, k) - o;
- coordinates[1] = coordinates[1] * Math.pow(2, k) - o;
- }
-
- function resize() {
- o = r * 3;
- n = (dx + o * 2) >> k;
- m = (dy + o * 2) >> k;
- return density;
- }
-
- density.x = function(_) {
- return arguments.length ? (x = typeof _ === "function" ? _ : constant(+_), density) : x;
- };
-
- density.y = function(_) {
- return arguments.length ? (y = typeof _ === "function" ? _ : constant(+_), density) : y;
- };
-
- density.weight = function(_) {
- return arguments.length ? (weight = typeof _ === "function" ? _ : constant(+_), density) : weight;
- };
-
- density.size = function(_) {
- if (!arguments.length) return [dx, dy];
- var _0 = +_[0], _1 = +_[1];
- if (!(_0 >= 0 && _1 >= 0)) throw new Error("invalid size");
- return dx = _0, dy = _1, resize();
- };
-
- density.cellSize = function(_) {
- if (!arguments.length) return 1 << k;
- if (!((_ = +_) >= 1)) throw new Error("invalid cell size");
- return k = Math.floor(Math.log(_) / Math.LN2), resize();
- };
-
- density.thresholds = function(_) {
- return arguments.length ? (threshold = typeof _ === "function" ? _ : Array.isArray(_) ? constant(slice.call(_)) : constant(_), density) : threshold;
- };
-
- density.bandwidth = function(_) {
- if (!arguments.length) return Math.sqrt(r * (r + 1));
- if (!((_ = +_) >= 0)) throw new Error("invalid bandwidth");
- return r = (Math.sqrt(4 * _ * _ + 1) - 1) / 2, resize();
- };
-
- return density;
- }
-
- exports.contourDensity = density;
- exports.contours = Contours;
-
- }));
|