diff -r efd9c589177a -r c0b4a8b5a012 toolkit/javascript/d3/src/geom/voronoi.js --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/toolkit/javascript/d3/src/geom/voronoi.js Thu Apr 10 14:20:23 2014 +0200 @@ -0,0 +1,409 @@ +// Adapted from Nicolas Garcia Belmonte's JIT implementation: +// http://blog.thejit.org/2010/02/12/voronoi-tessellation/ +// http://blog.thejit.org/assets/voronoijs/voronoi.js +// See lib/jit/LICENSE for details. + +// Notes: +// +// This implementation does not clip the returned polygons, so if you want to +// clip them to a particular shape you will need to do that either in SVG or by +// post-processing with d3.geom.polygon's clip method. +// +// If any vertices are coincident or have NaN positions, the behavior of this +// method is undefined. Most likely invalid polygons will be returned. You +// should filter invalid points, and consolidate coincident points, before +// computing the tessellation. + +/** + * @param vertices [[x1, y1], [x2, y2], …] + * @returns polygons [[[x1, y1], [x2, y2], …], …] + */ +d3.geom.voronoi = function(vertices) { + var polygons = vertices.map(function() { return []; }); + + d3_voronoi_tessellate(vertices, function(e) { + var s1, + s2, + x1, + x2, + y1, + y2; + if (e.a === 1 && e.b >= 0) { + s1 = e.ep.r; + s2 = e.ep.l; + } else { + s1 = e.ep.l; + s2 = e.ep.r; + } + if (e.a === 1) { + y1 = s1 ? s1.y : -1e6; + x1 = e.c - e.b * y1; + y2 = s2 ? s2.y : 1e6; + x2 = e.c - e.b * y2; + } else { + x1 = s1 ? s1.x : -1e6; + y1 = e.c - e.a * x1; + x2 = s2 ? s2.x : 1e6; + y2 = e.c - e.a * x2; + } + var v1 = [x1, y1], + v2 = [x2, y2]; + polygons[e.region.l.index].push(v1, v2); + polygons[e.region.r.index].push(v1, v2); + }); + + // Reconnect the polygon segments into counterclockwise loops. + return polygons.map(function(polygon, i) { + var cx = vertices[i][0], + cy = vertices[i][1]; + polygon.forEach(function(v) { + v.angle = Math.atan2(v[0] - cx, v[1] - cy); + }); + return polygon.sort(function(a, b) { + return a.angle - b.angle; + }).filter(function(d, i) { + return !i || (d.angle - polygon[i - 1].angle > 1e-10); + }); + }); +}; + +var d3_voronoi_opposite = {"l": "r", "r": "l"}; + +function d3_voronoi_tessellate(vertices, callback) { + + var Sites = { + list: vertices + .map(function(v, i) { + return { + index: i, + x: v[0], + y: v[1] + }; + }) + .sort(function(a, b) { + return a.y < b.y ? -1 + : a.y > b.y ? 1 + : a.x < b.x ? -1 + : a.x > b.x ? 1 + : 0; + }), + bottomSite: null + }; + + var EdgeList = { + list: [], + leftEnd: null, + rightEnd: null, + + init: function() { + EdgeList.leftEnd = EdgeList.createHalfEdge(null, "l"); + EdgeList.rightEnd = EdgeList.createHalfEdge(null, "l"); + EdgeList.leftEnd.r = EdgeList.rightEnd; + EdgeList.rightEnd.l = EdgeList.leftEnd; + EdgeList.list.unshift(EdgeList.leftEnd, EdgeList.rightEnd); + }, + + createHalfEdge: function(edge, side) { + return { + edge: edge, + side: side, + vertex: null, + "l": null, + "r": null + }; + }, + + insert: function(lb, he) { + he.l = lb; + he.r = lb.r; + lb.r.l = he; + lb.r = he; + }, + + leftBound: function(p) { + var he = EdgeList.leftEnd; + do { + he = he.r; + } while (he != EdgeList.rightEnd && Geom.rightOf(he, p)); + he = he.l; + return he; + }, + + del: function(he) { + he.l.r = he.r; + he.r.l = he.l; + he.edge = null; + }, + + right: function(he) { + return he.r; + }, + + left: function(he) { + return he.l; + }, + + leftRegion: function(he) { + return he.edge == null + ? Sites.bottomSite + : he.edge.region[he.side]; + }, + + rightRegion: function(he) { + return he.edge == null + ? Sites.bottomSite + : he.edge.region[d3_voronoi_opposite[he.side]]; + } + }; + + var Geom = { + + bisect: function(s1, s2) { + var newEdge = { + region: {"l": s1, "r": s2}, + ep: {"l": null, "r": null} + }; + + var dx = s2.x - s1.x, + dy = s2.y - s1.y, + adx = dx > 0 ? dx : -dx, + ady = dy > 0 ? dy : -dy; + + newEdge.c = s1.x * dx + s1.y * dy + + (dx * dx + dy * dy) * .5; + + if (adx > ady) { + newEdge.a = 1; + newEdge.b = dy / dx; + newEdge.c /= dx; + } else { + newEdge.b = 1; + newEdge.a = dx / dy; + newEdge.c /= dy; + } + + return newEdge; + }, + + intersect: function(el1, el2) { + var e1 = el1.edge, + e2 = el2.edge; + if (!e1 || !e2 || (e1.region.r == e2.region.r)) { + return null; + } + var d = (e1.a * e2.b) - (e1.b * e2.a); + if (Math.abs(d) < 1e-10) { + return null; + } + var xint = (e1.c * e2.b - e2.c * e1.b) / d, + yint = (e2.c * e1.a - e1.c * e2.a) / d, + e1r = e1.region.r, + e2r = e2.region.r, + el, + e; + if ((e1r.y < e2r.y) || + (e1r.y == e2r.y && e1r.x < e2r.x)) { + el = el1; + e = e1; + } else { + el = el2; + e = e2; + } + var rightOfSite = (xint >= e.region.r.x); + if ((rightOfSite && (el.side === "l")) || + (!rightOfSite && (el.side === "r"))) { + return null; + } + return { + x: xint, + y: yint + }; + }, + + rightOf: function(he, p) { + var e = he.edge, + topsite = e.region.r, + rightOfSite = (p.x > topsite.x); + + if (rightOfSite && (he.side === "l")) { + return 1; + } + if (!rightOfSite && (he.side === "r")) { + return 0; + } + if (e.a === 1) { + var dyp = p.y - topsite.y, + dxp = p.x - topsite.x, + fast = 0, + above = 0; + + if ((!rightOfSite && (e.b < 0)) || + (rightOfSite && (e.b >= 0))) { + above = fast = (dyp >= e.b * dxp); + } else { + above = ((p.x + p.y * e.b) > e.c); + if (e.b < 0) { + above = !above; + } + if (!above) { + fast = 1; + } + } + if (!fast) { + var dxs = topsite.x - e.region.l.x; + above = (e.b * (dxp * dxp - dyp * dyp)) < + (dxs * dyp * (1 + 2 * dxp / dxs + e.b * e.b)); + + if (e.b < 0) { + above = !above; + } + } + } else /* e.b == 1 */ { + var yl = e.c - e.a * p.x, + t1 = p.y - yl, + t2 = p.x - topsite.x, + t3 = yl - topsite.y; + + above = (t1 * t1) > (t2 * t2 + t3 * t3); + } + return he.side === "l" ? above : !above; + }, + + endPoint: function(edge, side, site) { + edge.ep[side] = site; + if (!edge.ep[d3_voronoi_opposite[side]]) return; + callback(edge); + }, + + distance: function(s, t) { + var dx = s.x - t.x, + dy = s.y - t.y; + return Math.sqrt(dx * dx + dy * dy); + } + }; + + var EventQueue = { + list: [], + + insert: function(he, site, offset) { + he.vertex = site; + he.ystar = site.y + offset; + for (var i=0, list=EventQueue.list, l=list.length; i next.ystar || + (he.ystar == next.ystar && + site.x > next.vertex.x)) { + continue; + } else { + break; + } + } + list.splice(i, 0, he); + }, + + del: function(he) { + for (var i=0, ls=EventQueue.list, l=ls.length; i top.y) { + temp = bot; + bot = top; + top = temp; + pm = "r"; + } + e = Geom.bisect(bot, top); + bisector = EdgeList.createHalfEdge(e, pm); + EdgeList.insert(llbnd, bisector); + Geom.endPoint(e, d3_voronoi_opposite[pm], v); + p = Geom.intersect(llbnd, bisector); + if (p) { + EventQueue.del(llbnd); + EventQueue.insert(llbnd, p, Geom.distance(p, bot)); + } + p = Geom.intersect(bisector, rrbnd); + if (p) { + EventQueue.insert(bisector, p, Geom.distance(p, bot)); + } + } else { + break; + } + }//end while + + for (lbnd = EdgeList.right(EdgeList.leftEnd); + lbnd != EdgeList.rightEnd; + lbnd = EdgeList.right(lbnd)) { + callback(lbnd.edge); + } +}