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(function (global, factory) { |
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typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports, require('d3-array')) : |
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typeof define === 'function' && define.amd ? define(['exports', 'd3-array'], factory) : |
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(global = typeof globalThis !== 'undefined' ? globalThis : global || self, factory(global.d3 = global.d3 || {}, global.d3)); |
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})(this, (function (exports, d3Array) { 'use strict'; |
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var array = Array.prototype; |
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var slice = array.slice; |
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function ascending(a, b) { |
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return a - b; |
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} |
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function area(ring) { |
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var i = 0, n = ring.length, area = ring[n - 1][1] * ring[0][0] - ring[n - 1][0] * ring[0][1]; |
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while (++i < n) area += ring[i - 1][1] * ring[i][0] - ring[i - 1][0] * ring[i][1]; |
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return area; |
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} |
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var constant = x => () => x; |
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function contains(ring, hole) { |
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var i = -1, n = hole.length, c; |
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while (++i < n) if (c = ringContains(ring, hole[i])) return c; |
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return 0; |
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} |
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function ringContains(ring, point) { |
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var x = point[0], y = point[1], contains = -1; |
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for (var i = 0, n = ring.length, j = n - 1; i < n; j = i++) { |
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var pi = ring[i], xi = pi[0], yi = pi[1], pj = ring[j], xj = pj[0], yj = pj[1]; |
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if (segmentContains(pi, pj, point)) return 0; |
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if (((yi > y) !== (yj > y)) && ((x < (xj - xi) * (y - yi) / (yj - yi) + xi))) contains = -contains; |
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} |
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return contains; |
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} |
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function segmentContains(a, b, c) { |
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var i; return collinear(a, b, c) && within(a[i = +(a[0] === b[0])], c[i], b[i]); |
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} |
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function collinear(a, b, c) { |
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return (b[0] - a[0]) * (c[1] - a[1]) === (c[0] - a[0]) * (b[1] - a[1]); |
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} |
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function within(p, q, r) { |
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return p <= q && q <= r || r <= q && q <= p; |
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} |
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function noop() {} |
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var cases = [ |
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[], |
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[[[1.0, 1.5], [0.5, 1.0]]], |
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[[[1.5, 1.0], [1.0, 1.5]]], |
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[[[1.5, 1.0], [0.5, 1.0]]], |
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[[[1.0, 0.5], [1.5, 1.0]]], |
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[[[1.0, 1.5], [0.5, 1.0]], [[1.0, 0.5], [1.5, 1.0]]], |
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[[[1.0, 0.5], [1.0, 1.5]]], |
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[[[1.0, 0.5], [0.5, 1.0]]], |
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[[[0.5, 1.0], [1.0, 0.5]]], |
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[[[1.0, 1.5], [1.0, 0.5]]], |
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[[[0.5, 1.0], [1.0, 0.5]], [[1.5, 1.0], [1.0, 1.5]]], |
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[[[1.5, 1.0], [1.0, 0.5]]], |
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[[[0.5, 1.0], [1.5, 1.0]]], |
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[[[1.0, 1.5], [1.5, 1.0]]], |
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[[[0.5, 1.0], [1.0, 1.5]]], |
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[] |
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]; |
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function Contours() { |
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var dx = 1, |
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dy = 1, |
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threshold = d3Array.thresholdSturges, |
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smooth = smoothLinear; |
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function contours(values) { |
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var tz = threshold(values); |
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if (!Array.isArray(tz)) { |
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const e = d3Array.extent(values, finite); |
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tz = d3Array.ticks(...d3Array.nice(e[0], e[1], tz), tz); |
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while (tz[tz.length - 1] >= e[1]) tz.pop(); |
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while (tz[1] < e[0]) tz.shift(); |
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} else { |
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tz = tz.slice().sort(ascending); |
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} |
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return tz.map(value => contour(values, value)); |
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} |
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function contour(values, value) { |
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const v = value == null ? NaN : +value; |
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if (isNaN(v)) throw new Error(`invalid value: ${value}`); |
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var polygons = [], |
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holes = []; |
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isorings(values, v, function(ring) { |
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smooth(ring, values, v); |
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if (area(ring) > 0) polygons.push([ring]); |
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else holes.push(ring); |
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}); |
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holes.forEach(function(hole) { |
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for (var i = 0, n = polygons.length, polygon; i < n; ++i) { |
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if (contains((polygon = polygons[i])[0], hole) !== -1) { |
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polygon.push(hole); |
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return; |
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} |
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} |
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}); |
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return { |
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type: "MultiPolygon", |
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value: value, |
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coordinates: polygons |
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}; |
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} |
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function isorings(values, value, callback) { |
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var fragmentByStart = new Array, |
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fragmentByEnd = new Array, |
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x, y, t0, t1, t2, t3; |
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x = y = -1; |
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t1 = above(values[0], value); |
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cases[t1 << 1].forEach(stitch); |
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while (++x < dx - 1) { |
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t0 = t1, t1 = above(values[x + 1], value); |
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cases[t0 | t1 << 1].forEach(stitch); |
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} |
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cases[t1 << 0].forEach(stitch); |
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while (++y < dy - 1) { |
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x = -1; |
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t1 = above(values[y * dx + dx], value); |
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t2 = above(values[y * dx], value); |
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cases[t1 << 1 | t2 << 2].forEach(stitch); |
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while (++x < dx - 1) { |
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t0 = t1, t1 = above(values[y * dx + dx + x + 1], value); |
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t3 = t2, t2 = above(values[y * dx + x + 1], value); |
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cases[t0 | t1 << 1 | t2 << 2 | t3 << 3].forEach(stitch); |
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} |
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cases[t1 | t2 << 3].forEach(stitch); |
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} |
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x = -1; |
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t2 = values[y * dx] >= value; |
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cases[t2 << 2].forEach(stitch); |
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while (++x < dx - 1) { |
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t3 = t2, t2 = above(values[y * dx + x + 1], value); |
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cases[t2 << 2 | t3 << 3].forEach(stitch); |
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} |
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cases[t2 << 3].forEach(stitch); |
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function stitch(line) { |
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var start = [line[0][0] + x, line[0][1] + y], |
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end = [line[1][0] + x, line[1][1] + y], |
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startIndex = index(start), |
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endIndex = index(end), |
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f, g; |
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if (f = fragmentByEnd[startIndex]) { |
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if (g = fragmentByStart[endIndex]) { |
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delete fragmentByEnd[f.end]; |
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delete fragmentByStart[g.start]; |
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if (f === g) { |
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f.ring.push(end); |
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callback(f.ring); |
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} else { |
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fragmentByStart[f.start] = fragmentByEnd[g.end] = {start: f.start, end: g.end, ring: f.ring.concat(g.ring)}; |
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} |
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} else { |
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delete fragmentByEnd[f.end]; |
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f.ring.push(end); |
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fragmentByEnd[f.end = endIndex] = f; |
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} |
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} else if (f = fragmentByStart[endIndex]) { |
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if (g = fragmentByEnd[startIndex]) { |
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delete fragmentByStart[f.start]; |
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delete fragmentByEnd[g.end]; |
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if (f === g) { |
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f.ring.push(end); |
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callback(f.ring); |
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} else { |
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fragmentByStart[g.start] = fragmentByEnd[f.end] = {start: g.start, end: f.end, ring: g.ring.concat(f.ring)}; |
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} |
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} else { |
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delete fragmentByStart[f.start]; |
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f.ring.unshift(start); |
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fragmentByStart[f.start = startIndex] = f; |
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} |
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} else { |
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fragmentByStart[startIndex] = fragmentByEnd[endIndex] = {start: startIndex, end: endIndex, ring: [start, end]}; |
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} |
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} |
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} |
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function index(point) { |
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return point[0] * 2 + point[1] * (dx + 1) * 4; |
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} |
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function smoothLinear(ring, values, value) { |
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ring.forEach(function(point) { |
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var x = point[0], |
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y = point[1], |
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xt = x | 0, |
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yt = y | 0, |
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v1 = valid(values[yt * dx + xt]); |
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if (x > 0 && x < dx && xt === x) { |
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point[0] = smooth1(x, valid(values[yt * dx + xt - 1]), v1, value); |
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} |
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if (y > 0 && y < dy && yt === y) { |
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point[1] = smooth1(y, valid(values[(yt - 1) * dx + xt]), v1, value); |
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} |
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}); |
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} |
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contours.contour = contour; |
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contours.size = function(_) { |
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if (!arguments.length) return [dx, dy]; |
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var _0 = Math.floor(_[0]), _1 = Math.floor(_[1]); |
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if (!(_0 >= 0 && _1 >= 0)) throw new Error("invalid size"); |
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return dx = _0, dy = _1, contours; |
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}; |
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contours.thresholds = function(_) { |
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return arguments.length ? (threshold = typeof _ === "function" ? _ : Array.isArray(_) ? constant(slice.call(_)) : constant(_), contours) : threshold; |
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}; |
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contours.smooth = function(_) { |
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return arguments.length ? (smooth = _ ? smoothLinear : noop, contours) : smooth === smoothLinear; |
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}; |
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return contours; |
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} |
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function finite(x) { |
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return isFinite(x) ? x : NaN; |
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} |
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function above(x, value) { |
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return x == null ? false : +x >= value; |
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} |
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function valid(v) { |
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return v == null || isNaN(v = +v) ? -Infinity : v; |
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} |
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function smooth1(x, v0, v1, value) { |
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const a = value - v0; |
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const b = v1 - v0; |
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const d = isFinite(a) || isFinite(b) ? a / b : Math.sign(a) / Math.sign(b); |
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return isNaN(d) ? x : x + d - 0.5; |
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} |
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function defaultX(d) { |
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return d[0]; |
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} |
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function defaultY(d) { |
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return d[1]; |
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} |
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function defaultWeight() { |
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return 1; |
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} |
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function density() { |
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var x = defaultX, |
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y = defaultY, |
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weight = defaultWeight, |
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dx = 960, |
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dy = 500, |
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r = 20, |
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k = 2, |
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o = r * 3, |
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n = (dx + o * 2) >> k, |
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m = (dy + o * 2) >> k, |
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threshold = constant(20); |
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function grid(data) { |
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var values = new Float32Array(n * m), |
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pow2k = Math.pow(2, -k), |
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i = -1; |
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for (const d of data) { |
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var xi = (x(d, ++i, data) + o) * pow2k, |
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yi = (y(d, i, data) + o) * pow2k, |
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wi = +weight(d, i, data); |
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if (wi && xi >= 0 && xi < n && yi >= 0 && yi < m) { |
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var x0 = Math.floor(xi), |
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y0 = Math.floor(yi), |
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xt = xi - x0 - 0.5, |
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yt = yi - y0 - 0.5; |
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values[x0 + y0 * n] += (1 - xt) * (1 - yt) * wi; |
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values[x0 + 1 + y0 * n] += xt * (1 - yt) * wi; |
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values[x0 + 1 + (y0 + 1) * n] += xt * yt * wi; |
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values[x0 + (y0 + 1) * n] += (1 - xt) * yt * wi; |
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} |
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} |
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d3Array.blur2({data: values, width: n, height: m}, r * pow2k); |
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return values; |
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} |
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function density(data) { |
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var values = grid(data), |
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tz = threshold(values), |
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pow4k = Math.pow(2, 2 * k); |
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if (!Array.isArray(tz)) { |
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tz = d3Array.ticks(Number.MIN_VALUE, d3Array.max(values) / pow4k, tz); |
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} |
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return Contours() |
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.size([n, m]) |
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.thresholds(tz.map(d => d * pow4k)) |
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(values) |
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.map((c, i) => (c.value = +tz[i], transform(c))); |
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} |
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density.contours = function(data) { |
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var values = grid(data), |
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contours = Contours().size([n, m]), |
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pow4k = Math.pow(2, 2 * k), |
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contour = value => { |
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value = +value; |
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var c = transform(contours.contour(values, value * pow4k)); |
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c.value = value; |
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return c; |
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}; |
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Object.defineProperty(contour, "max", {get: () => d3Array.max(values) / pow4k}); |
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return contour; |
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}; |
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function transform(geometry) { |
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geometry.coordinates.forEach(transformPolygon); |
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return geometry; |
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} |
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function transformPolygon(coordinates) { |
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coordinates.forEach(transformRing); |
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} |
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function transformRing(coordinates) { |
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coordinates.forEach(transformPoint); |
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} |
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function transformPoint(coordinates) { |
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coordinates[0] = coordinates[0] * Math.pow(2, k) - o; |
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coordinates[1] = coordinates[1] * Math.pow(2, k) - o; |
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} |
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function resize() { |
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o = r * 3; |
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n = (dx + o * 2) >> k; |
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m = (dy + o * 2) >> k; |
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return density; |
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} |
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density.x = function(_) { |
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return arguments.length ? (x = typeof _ === "function" ? _ : constant(+_), density) : x; |
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}; |
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density.y = function(_) { |
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return arguments.length ? (y = typeof _ === "function" ? _ : constant(+_), density) : y; |
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}; |
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density.weight = function(_) { |
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return arguments.length ? (weight = typeof _ === "function" ? _ : constant(+_), density) : weight; |
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}; |
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density.size = function(_) { |
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if (!arguments.length) return [dx, dy]; |
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var _0 = +_[0], _1 = +_[1]; |
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if (!(_0 >= 0 && _1 >= 0)) throw new Error("invalid size"); |
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return dx = _0, dy = _1, resize(); |
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}; |
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density.cellSize = function(_) { |
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if (!arguments.length) return 1 << k; |
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if (!((_ = +_) >= 1)) throw new Error("invalid cell size"); |
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return k = Math.floor(Math.log(_) / Math.LN2), resize(); |
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}; |
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density.thresholds = function(_) { |
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return arguments.length ? (threshold = typeof _ === "function" ? _ : Array.isArray(_) ? constant(slice.call(_)) : constant(_), density) : threshold; |
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}; |
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density.bandwidth = function(_) { |
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if (!arguments.length) return Math.sqrt(r * (r + 1)); |
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if (!((_ = +_) >= 0)) throw new Error("invalid bandwidth"); |
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return r = (Math.sqrt(4 * _ * _ + 1) - 1) / 2, resize(); |
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}; |
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return density; |
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} |
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exports.contourDensity = density; |
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exports.contours = Contours; |
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})); |
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