// https://d3js.org/d3-contour/ Version 1.2.0. Copyright 2018 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) : (factory((global.d3 = global.d3 || {}),global.d3)); }(this, (function (exports,d3Array) { 'use strict'; var array = Array.prototype; var slice = array.slice; var ascending = function(a, b) { return a - b; }; var area = function(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 = function(x) { return function() { return x; }; }; var contains = function(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; } var noop = function() {}; 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]]], [] ]; var contours = function() { 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)) { var domain = d3Array.extent(values), start = domain[0], stop = domain[1]; tz = d3Array.tickStep(start, stop, tz); tz = d3Array.range(Math.floor(start / tz) * tz, Math.floor(stop / tz) * tz, tz); } else { tz = tz.slice().sort(ascending); } return tz.map(function(value) { return 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) { var polygons = [], holes = []; isorings(values, value, function(ring) { smooth(ring, values, value); 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 = values[0] >= value; cases[t1 << 1].forEach(stitch); while (++x < dx - 1) { t0 = t1, t1 = 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 = values[y * dx + dx] >= value; t2 = values[y * dx] >= value; cases[t1 << 1 | t2 << 2].forEach(stitch); while (++x < dx - 1) { t0 = t1, t1 = values[y * dx + dx + x + 1] >= value; t3 = t2, t2 = 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 = 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, v0, v1 = values[yt * dx + xt]; if (x > 0 && x < dx && xt === x) { v0 = values[yt * dx + xt - 1]; point[0] = x + (value - v0) / (v1 - v0) - 0.5; } if (y > 0 && y < dy && yt === y) { v0 = values[(yt - 1) * dx + xt]; point[1] = y + (value - v0) / (v1 - v0) - 0.5; } }); } contours.contour = contour; contours.size = function(_) { if (!arguments.length) return [dx, dy]; var _0 = Math.ceil(_[0]), _1 = Math.ceil(_[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; }; // TODO Optimize edge cases. // TODO Optimize index calculation. // TODO Optimize arguments. function blurX(source, target, r) { var n = source.width, m = source.height, w = (r << 1) + 1; for (var j = 0; j < m; ++j) { for (var i = 0, sr = 0; i < n + r; ++i) { if (i < n) { sr += source.data[i + j * n]; } if (i >= r) { if (i >= w) { sr -= source.data[i - w + j * n]; } target.data[i - r + j * n] = sr / Math.min(i + 1, n - 1 + w - i, w); } } } } // TODO Optimize edge cases. // TODO Optimize index calculation. // TODO Optimize arguments. function blurY(source, target, r) { var n = source.width, m = source.height, w = (r << 1) + 1; for (var i = 0; i < n; ++i) { for (var j = 0, sr = 0; j < m + r; ++j) { if (j < m) { sr += source.data[i + j * n]; } if (j >= r) { if (j >= w) { sr -= source.data[i + (j - w) * n]; } target.data[i + (j - r) * n] = sr / Math.min(j + 1, m - 1 + w - j, w); } } } } function defaultX(d) { return d[0]; } function defaultY(d) { return d[1]; } var density = function() { var x = defaultX, y = defaultY, 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 density(data) { var values0 = new Float32Array(n * m), values1 = new Float32Array(n * m); data.forEach(function(d, i, data) { var xi = (x(d, i, data) + o) >> k, yi = (y(d, i, data) + o) >> k; if (xi >= 0 && xi < n && yi >= 0 && yi < m) { ++values0[xi + yi * n]; } }); // TODO Optimize. blurX({width: n, height: m, data: values0}, {width: n, height: m, data: values1}, r >> k); blurY({width: n, height: m, data: values1}, {width: n, height: m, data: values0}, r >> k); blurX({width: n, height: m, data: values0}, {width: n, height: m, data: values1}, r >> k); blurY({width: n, height: m, data: values1}, {width: n, height: m, data: values0}, r >> k); blurX({width: n, height: m, data: values0}, {width: n, height: m, data: values1}, r >> k); blurY({width: n, height: m, data: values1}, {width: n, height: m, data: values0}, r >> k); var tz = threshold(values0); // Convert number of thresholds into uniform thresholds. if (!Array.isArray(tz)) { var stop = d3Array.max(values0); tz = d3Array.tickStep(0, stop, tz); tz = d3Array.range(0, Math.floor(stop / tz) * tz, tz); tz.shift(); } return contours() .thresholds(tz) .size([n, m]) (values0) .map(transform); } function transform(geometry) { geometry.value *= Math.pow(2, -2 * k); // Density in points per square pixel. 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.size = function(_) { if (!arguments.length) return [dx, dy]; var _0 = Math.ceil(_[0]), _1 = Math.ceil(_[1]); if (!(_0 >= 0) && !(_0 >= 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.round((Math.sqrt(4 * _ * _ + 1) - 1) / 2), resize(); }; return density; }; exports.contours = contours; exports.contourDensity = density; Object.defineProperty(exports, '__esModule', { value: true }); })));