app/assets/javascripts/d3.js in d3_rails-3.3.6 vs app/assets/javascripts/d3.js in d3_rails-3.3.7

- old
+ new

@@ -1,8 +1,8 @@ d3 = function() { var d3 = { - version: "3.3.6" + version: "3.3.7" }; if (!Date.now) Date.now = function() { return +new Date(); }; var d3_arraySlice = [].slice, d3_array = function(list) { @@ -184,22 +184,33 @@ value: map[key] }); return entries; }; d3.merge = function(arrays) { - return Array.prototype.concat.apply([], arrays); + var n = arrays.length, m, i = -1, j = 0, merged, array; + while (++i < n) j += arrays[i].length; + merged = new Array(j); + while (--n >= 0) { + array = arrays[n]; + m = array.length; + while (--m >= 0) { + merged[--j] = array[m]; + } + } + return merged; }; + var abs = Math.abs; d3.range = function(start, stop, step) { if (arguments.length < 3) { step = 1; if (arguments.length < 2) { stop = start; start = 0; } } if ((stop - start) / step === Infinity) throw new Error("infinite range"); - var range = [], k = d3_range_integerScale(Math.abs(step)), i = -1, j; + var range = [], k = d3_range_integerScale(abs(step)), i = -1, j; start *= k, stop *= k, step *= k; if (step < 0) while ((j = start + step * ++i) > stop) range.push(j / k); else while ((j = start + step * ++i) < stop) range.push(j / k); return range; }; function d3_range_integerScale(x) { @@ -712,20 +723,20 @@ return this.appendChild(name.apply(this, arguments)); }); }; function d3_selection_creator(name) { return typeof name === "function" ? name : (name = d3.ns.qualify(name)).local ? function() { - return d3_document.createElementNS(name.space, name.local); + return this.ownerDocument.createElementNS(name.space, name.local); } : function() { - return d3_document.createElementNS(this.namespaceURI, name); + return this.ownerDocument.createElementNS(this.namespaceURI, name); }; } d3_selectionPrototype.insert = function(name, before) { name = d3_selection_creator(name); before = d3_selection_selector(before); return this.select(function() { - return this.insertBefore(name.apply(this, arguments), before.apply(this, arguments)); + return this.insertBefore(name.apply(this, arguments), before.apply(this, arguments) || null); }); }; d3_selectionPrototype.remove = function() { return this.each(function() { var parent = this.parentNode; @@ -2029,15 +2040,16 @@ d3.timer = function(callback, delay, then) { var n = arguments.length; if (n < 2) delay = 0; if (n < 3) then = Date.now(); var time = then + delay, timer = { - callback: callback, - time: time, - next: null + c: callback, + t: time, + f: false, + n: null }; - if (d3_timer_queueTail) d3_timer_queueTail.next = timer; else d3_timer_queueHead = timer; + if (d3_timer_queueTail) d3_timer_queueTail.n = timer; else d3_timer_queueHead = timer; d3_timer_queueTail = timer; if (!d3_timer_interval) { d3_timer_timeout = clearTimeout(d3_timer_timeout); d3_timer_interval = 1; d3_timer_frame(d3_timer_step); @@ -2058,34 +2070,27 @@ } d3.timer.flush = function() { d3_timer_mark(); d3_timer_sweep(); }; - function d3_timer_replace(callback, delay, then) { - var n = arguments.length; - if (n < 2) delay = 0; - if (n < 3) then = Date.now(); - d3_timer_active.callback = callback; - d3_timer_active.time = then + delay; - } function d3_timer_mark() { var now = Date.now(); d3_timer_active = d3_timer_queueHead; while (d3_timer_active) { - if (now >= d3_timer_active.time) d3_timer_active.flush = d3_timer_active.callback(now - d3_timer_active.time); - d3_timer_active = d3_timer_active.next; + if (now >= d3_timer_active.t) d3_timer_active.f = d3_timer_active.c(now - d3_timer_active.t); + d3_timer_active = d3_timer_active.n; } return now; } function d3_timer_sweep() { var t0, t1 = d3_timer_queueHead, time = Infinity; while (t1) { - if (t1.flush) { - t1 = t0 ? t0.next = t1.next : d3_timer_queueHead = t1.next; + if (t1.f) { + t1 = t0 ? t0.n = t1.n : d3_timer_queueHead = t1.n; } else { - if (t1.time < time) time = t1.time; - t1 = (t0 = t1).next; + if (t1.t < time) time = t1.t; + t1 = (t0 = t1).n; } } d3_timer_queueTail = t0; return time; } @@ -2100,11 +2105,11 @@ i = Math.max(-24, Math.min(24, Math.floor((i <= 0 ? i + 1 : i - 1) / 3) * 3)); } return d3_formatPrefixes[8 + i / 3]; }; function d3_formatPrefix(d, i) { - var k = Math.pow(10, Math.abs(8 - i) * 3); + var k = Math.pow(10, abs(8 - i) * 3); return { scale: i > 8 ? function(d) { return d / k; } : function(d) { return d * k; @@ -2386,11 +2391,11 @@ } function d3_geo_spherical(cartesian) { return [ Math.atan2(cartesian[1], cartesian[0]), d3_asin(cartesian[2]) ]; } function d3_geo_sphericalEqual(a, b) { - return Math.abs(a[0] - b[0]) < ε && Math.abs(a[1] - b[1]) < ε; + return abs(a[0] - b[0]) < ε && abs(a[1] - b[1]) < ε; } d3.geo.bounds = function() { var λ0, φ0, λ1, φ1, λ_, λ__, φ__, p0, dλSum, ranges, range; var bound = { point: point, @@ -2421,11 +2426,11 @@ var p = d3_geo_cartesian([ λ * d3_radians, φ * d3_radians ]); if (p0) { var normal = d3_geo_cartesianCross(p0, p), equatorial = [ normal[1], -normal[0], 0 ], inflection = d3_geo_cartesianCross(equatorial, normal); d3_geo_cartesianNormalize(inflection); inflection = d3_geo_spherical(inflection); - var dλ = λ - λ_, s = dλ > 0 ? 1 : -1, λi = inflection[0] * d3_degrees * s, antimeridian = Math.abs(dλ) > 180; + var dλ = λ - λ_, s = dλ > 0 ? 1 : -1, λi = inflection[0] * d3_degrees * s, antimeridian = abs(dλ) > 180; if (antimeridian ^ (s * λ_ < λi && λi < s * λ)) { var φi = inflection[1] * d3_degrees; if (φi > φ1) φ1 = φi; } else if (λi = (λi + 360) % 360 - 180, antimeridian ^ (s * λ_ < λi && λi < s * λ)) { var φi = -inflection[1] * d3_degrees; @@ -2466,22 +2471,22 @@ p0 = null; } function ringPoint(λ, φ) { if (p0) { var dλ = λ - λ_; - dλSum += Math.abs(dλ) > 180 ? dλ + (dλ > 0 ? 360 : -360) : dλ; + dλSum += abs(dλ) > 180 ? dλ + (dλ > 0 ? 360 : -360) : dλ; } else λ__ = λ, φ__ = φ; d3_geo_area.point(λ, φ); linePoint(λ, φ); } function ringStart() { d3_geo_area.lineStart(); } function ringEnd() { ringPoint(λ__, φ__); d3_geo_area.lineEnd(); - if (Math.abs(dλSum) > ε) λ0 = -(λ1 = 180); + if (abs(dλSum) > ε) λ0 = -(λ1 = 180); range[0] = λ0, range[1] = λ1; p0 = null; } function angle(λ0, λ1) { return (λ1 -= λ0) < 0 ? λ1 + 360 : λ1; @@ -2620,96 +2625,77 @@ listener.lineStart(); for (var i = 0; i < n; ++i) listener.point((p0 = segment[i])[0], p0[1]); listener.lineEnd(); return; } - var a = { - point: p0, - points: segment, - other: null, - visited: false, - entry: true, - subject: true - }, b = { - point: p0, - points: [ p0 ], - other: a, - visited: false, - entry: false, - subject: false - }; - a.other = b; + var a = new d3_geo_clipPolygonIntersection(p0, segment, null, true), b = new d3_geo_clipPolygonIntersection(p0, null, a, false); + a.o = b; subject.push(a); clip.push(b); - a = { - point: p1, - points: [ p1 ], - other: null, - visited: false, - entry: false, - subject: true - }; - b = { - point: p1, - points: [ p1 ], - other: a, - visited: false, - entry: true, - subject: false - }; - a.other = b; + a = new d3_geo_clipPolygonIntersection(p1, segment, null, false); + b = new d3_geo_clipPolygonIntersection(p1, null, a, true); + a.o = b; subject.push(a); clip.push(b); }); clip.sort(compare); d3_geo_clipPolygonLinkCircular(subject); d3_geo_clipPolygonLinkCircular(clip); if (!subject.length) return; for (var i = 0, entry = clipStartInside, n = clip.length; i < n; ++i) { - clip[i].entry = entry = !entry; + clip[i].e = entry = !entry; } - var start = subject[0], current, points, point; + var start = subject[0], points, point; while (1) { - current = start; - while (current.visited) if ((current = current.next) === start) return; - points = current.points; + var current = start, isSubject = true; + while (current.v) if ((current = current.n) === start) return; + points = current.z; listener.lineStart(); do { - current.visited = current.other.visited = true; - if (current.entry) { - if (current.subject) { - for (var i = 0; i < points.length; i++) listener.point((point = points[i])[0], point[1]); + current.v = current.o.v = true; + if (current.e) { + if (isSubject) { + for (var i = 0, n = points.length; i < n; ++i) listener.point((point = points[i])[0], point[1]); } else { - interpolate(current.point, current.next.point, 1, listener); + interpolate(current.x, current.n.x, 1, listener); } - current = current.next; + current = current.n; } else { - if (current.subject) { - points = current.prev.points; - for (var i = points.length; --i >= 0; ) listener.point((point = points[i])[0], point[1]); + if (isSubject) { + points = current.p.z; + for (var i = points.length - 1; i >= 0; --i) listener.point((point = points[i])[0], point[1]); } else { - interpolate(current.point, current.prev.point, -1, listener); + interpolate(current.x, current.p.x, -1, listener); } - current = current.prev; + current = current.p; } - current = current.other; - points = current.points; - } while (!current.visited); + current = current.o; + points = current.z; + isSubject = !isSubject; + } while (!current.v); listener.lineEnd(); } } function d3_geo_clipPolygonLinkCircular(array) { if (!(n = array.length)) return; var n, i = 0, a = array[0], b; while (++i < n) { - a.next = b = array[i]; - b.prev = a; + a.n = b = array[i]; + b.p = a; a = b; } - a.next = b = array[0]; - b.prev = a; + a.n = b = array[0]; + b.p = a; } + function d3_geo_clipPolygonIntersection(point, points, other, entry) { + this.x = point; + this.z = points; + this.o = other; + this.e = entry; + this.v = false; + this.n = this.p = null; + } function d3_geo_clip(pointVisible, clipLine, interpolate, clipStart) { return function(rotate, listener) { var line = clipLine(listener), rotatedClipStart = rotate.invert(clipStart[0], clipStart[1]); var clip = { point: point, @@ -2819,11 +2805,11 @@ if (lines.length > 1) lines.push(lines.pop().concat(lines.shift())); } }; } function d3_geo_clipSort(a, b) { - return ((a = a.point)[0] < 0 ? a[1] - halfπ - ε : halfπ - a[1]) - ((b = b.point)[0] < 0 ? b[1] - halfπ - ε : halfπ - b[1]); + return ((a = a.x)[0] < 0 ? a[1] - halfπ - ε : halfπ - a[1]) - ((b = b.x)[0] < 0 ? b[1] - halfπ - ε : halfπ - b[1]); } function d3_geo_pointInPolygon(point, polygon) { var meridian = point[0], parallel = point[1], meridianNormal = [ Math.sin(meridian), -Math.cos(meridian), 0 ], polarAngle = 0, winding = 0; d3_geo_areaRingSum.reset(); for (var i = 0, n = polygon.length; i < n; ++i) { @@ -2831,13 +2817,13 @@ if (!m) continue; var point0 = ring[0], λ0 = point0[0], φ0 = point0[1] / 2 + π / 4, sinφ0 = Math.sin(φ0), cosφ0 = Math.cos(φ0), j = 1; while (true) { if (j === m) j = 0; point = ring[j]; - var λ = point[0], φ = point[1] / 2 + π / 4, sinφ = Math.sin(φ), cosφ = Math.cos(φ), dλ = λ - λ0, antimeridian = Math.abs(dλ) > π, k = sinφ0 * sinφ; + var λ = point[0], φ = point[1] / 2 + π / 4, sinφ = Math.sin(φ), cosφ = Math.cos(φ), dλ = λ - λ0, antimeridian = abs(dλ) > π, k = sinφ0 * sinφ; d3_geo_areaRingSum.add(Math.atan2(k * Math.sin(dλ), cosφ0 * cosφ + k * Math.cos(dλ))); - polarAngle += antimeridian ? dλ + (dλ >= 0 ? 2 : -2) * π : dλ; + polarAngle += antimeridian ? dλ + (dλ >= 0 ? τ : -τ) : dλ; if (antimeridian ^ λ0 >= meridian ^ λ >= meridian) { var arc = d3_geo_cartesianCross(d3_geo_cartesian(point0), d3_geo_cartesian(point)); d3_geo_cartesianNormalize(arc); var intersection = d3_geo_cartesianCross(meridianNormal, arc); d3_geo_cartesianNormalize(intersection); @@ -2859,22 +2845,22 @@ lineStart: function() { listener.lineStart(); clean = 1; }, point: function(λ1, φ1) { - var sλ1 = λ1 > 0 ? π : -π, dλ = Math.abs(λ1 - λ0); - if (Math.abs(dλ - π) < ε) { + var sλ1 = λ1 > 0 ? π : -π, dλ = abs(λ1 - λ0); + if (abs(dλ - π) < ε) { listener.point(λ0, φ0 = (φ0 + φ1) / 2 > 0 ? halfπ : -halfπ); listener.point(sλ0, φ0); listener.lineEnd(); listener.lineStart(); listener.point(sλ1, φ0); listener.point(λ1, φ0); clean = 0; } else if (sλ0 !== sλ1 && dλ >= π) { - if (Math.abs(λ0 - sλ0) < ε) λ0 -= sλ0 * ε; - if (Math.abs(λ1 - sλ1) < ε) λ1 -= sλ1 * ε; + if (abs(λ0 - sλ0) < ε) λ0 -= sλ0 * ε; + if (abs(λ1 - sλ1) < ε) λ1 -= sλ1 * ε; φ0 = d3_geo_clipAntimeridianIntersect(λ0, φ0, λ1, φ1); listener.point(sλ0, φ0); listener.lineEnd(); listener.lineStart(); listener.point(sλ1, φ0); @@ -2892,11 +2878,11 @@ } }; } function d3_geo_clipAntimeridianIntersect(λ0, φ0, λ1, φ1) { var cosφ0, cosφ1, sinλ0_λ1 = Math.sin(λ0 - λ1); - return Math.abs(sinλ0_λ1) > ε ? Math.atan((Math.sin(φ0) * (cosφ1 = Math.cos(φ1)) * Math.sin(λ1) - Math.sin(φ1) * (cosφ0 = Math.cos(φ0)) * Math.sin(λ0)) / (cosφ0 * cosφ1 * sinλ0_λ1)) : (φ0 + φ1) / 2; + return abs(sinλ0_λ1) > ε ? Math.atan((Math.sin(φ0) * (cosφ1 = Math.cos(φ1)) * Math.sin(λ1) - Math.sin(φ1) * (cosφ0 = Math.cos(φ0)) * Math.sin(λ0)) / (cosφ0 * cosφ1 * sinλ0_λ1)) : (φ0 + φ1) / 2; } function d3_geo_clipAntimeridianInterpolate(from, to, direction, listener) { var φ; if (from == null) { φ = direction * halfπ; @@ -2907,22 +2893,22 @@ listener.point(π, -φ); listener.point(0, -φ); listener.point(-π, -φ); listener.point(-π, 0); listener.point(-π, φ); - } else if (Math.abs(from[0] - to[0]) > ε) { - var s = (from[0] < to[0] ? 1 : -1) * π; + } else if (abs(from[0] - to[0]) > ε) { + var s = from[0] < to[0] ? π : -π; φ = direction * s / 2; listener.point(-s, φ); listener.point(0, φ); listener.point(s, φ); } else { listener.point(to[0], to[1]); } } function d3_geo_clipCircle(radius) { - var cr = Math.cos(radius), smallRadius = cr > 0, notHemisphere = Math.abs(cr) > ε, interpolate = d3_geo_circleInterpolate(radius, 6 * d3_radians); + var cr = Math.cos(radius), smallRadius = cr > 0, notHemisphere = abs(cr) > ε, interpolate = d3_geo_circleInterpolate(radius, 6 * d3_radians); return d3_geo_clip(visible, clipLine, interpolate, smallRadius ? [ 0, -radius ] : [ -π, radius - π ]); function visible(λ, φ) { return Math.cos(λ) * Math.cos(φ) > cr; } function clipLine(listener) { @@ -2998,13 +2984,13 @@ d3_geo_cartesianAdd(q, A); q = d3_geo_spherical(q); if (!two) return q; var λ0 = a[0], λ1 = b[0], φ0 = a[1], φ1 = b[1], z; if (λ1 < λ0) z = λ0, λ0 = λ1, λ1 = z; - var δλ = λ1 - λ0, polar = Math.abs(δλ - π) < ε, meridian = polar || δλ < ε; + var δλ = λ1 - λ0, polar = abs(δλ - π) < ε, meridian = polar || δλ < ε; if (!polar && φ1 < φ0) z = φ0, φ0 = φ1, φ1 = z; - if (meridian ? polar ? φ0 + φ1 > 0 ^ q[1] < (Math.abs(q[0] - λ0) < ε ? φ0 : φ1) : φ0 <= q[1] && q[1] <= φ1 : δλ > π ^ (λ0 <= q[0] && q[0] <= λ1)) { + if (meridian ? polar ? φ0 + φ1 > 0 ^ q[1] < (abs(q[0] - λ0) < ε ? φ0 : φ1) : φ0 <= q[1] && q[1] <= φ1 : δλ > π ^ (λ0 <= q[0] && q[0] <= λ1)) { var q1 = d3_geo_cartesianScale(u, (-w + t) / uu); d3_geo_cartesianAdd(q1, A); return [ q, d3_geo_spherical(q1) ]; } } @@ -3013,10 +2999,64 @@ if (λ < -r) code |= 1; else if (λ > r) code |= 2; if (φ < -r) code |= 4; else if (φ > r) code |= 8; return code; } } + function d3_geom_clipLine(x0, y0, x1, y1) { + return function(line) { + var a = line.a, b = line.b, ax = a.x, ay = a.y, bx = b.x, by = b.y, t0 = 0, t1 = 1, dx = bx - ax, dy = by - ay, r; + r = x0 - ax; + if (!dx && r > 0) return; + r /= dx; + if (dx < 0) { + if (r < t0) return; + if (r < t1) t1 = r; + } else if (dx > 0) { + if (r > t1) return; + if (r > t0) t0 = r; + } + r = x1 - ax; + if (!dx && r < 0) return; + r /= dx; + if (dx < 0) { + if (r > t1) return; + if (r > t0) t0 = r; + } else if (dx > 0) { + if (r < t0) return; + if (r < t1) t1 = r; + } + r = y0 - ay; + if (!dy && r > 0) return; + r /= dy; + if (dy < 0) { + if (r < t0) return; + if (r < t1) t1 = r; + } else if (dy > 0) { + if (r > t1) return; + if (r > t0) t0 = r; + } + r = y1 - ay; + if (!dy && r < 0) return; + r /= dy; + if (dy < 0) { + if (r > t1) return; + if (r > t0) t0 = r; + } else if (dy > 0) { + if (r < t0) return; + if (r < t1) t1 = r; + } + if (t0 > 0) line.a = { + x: ax + t0 * dx, + y: ay + t0 * dy + }; + if (t1 < 1) line.b = { + x: ax + t1 * dx, + y: ay + t1 * dy + }; + return line; + }; + } var d3_geo_clipExtentMAX = 1e9; d3.geo.clipExtent = function() { var x0, y0, x1, y1, stream, clip, clipExtent = { stream: function(output) { if (stream) stream.valid = false; @@ -3033,11 +3073,11 @@ }; return clipExtent.extent([ [ 0, 0 ], [ 960, 500 ] ]); }; function d3_geo_clipExtent(x0, y0, x1, y1) { return function(listener) { - var listener_ = listener, bufferListener = d3_geo_clipBufferListener(), segments, polygon, ring; + var listener_ = listener, bufferListener = d3_geo_clipBufferListener(), clipLine = d3_geom_clipLine(x0, y0, x1, y1), segments, polygon, ring; var clip = { point: point, lineStart: lineStart, lineEnd: lineEnd, polygonStart: function() { @@ -3128,17 +3168,26 @@ listener.lineStart(); listener.point(x, y); } } else { if (v && v_) listener.point(x, y); else { - var a = [ x_, y_ ], b = [ x, y ]; - if (clipLine(a, b)) { + var l = { + a: { + x: x_, + y: y_ + }, + b: { + x: x, + y: y + } + }; + if (clipLine(l)) { if (!v_) { listener.lineStart(); - listener.point(a[0], a[1]); + listener.point(l.a.x, l.a.y); } - listener.point(b[0], b[1]); + listener.point(l.b.x, l.b.y); if (!v) listener.lineEnd(); clean = false; } else if (v) { listener.lineStart(); listener.point(x, y); @@ -3149,48 +3198,20 @@ x_ = x, y_ = y, v_ = v; } return clip; }; function corner(p, direction) { - return Math.abs(p[0] - x0) < ε ? direction > 0 ? 0 : 3 : Math.abs(p[0] - x1) < ε ? direction > 0 ? 2 : 1 : Math.abs(p[1] - y0) < ε ? direction > 0 ? 1 : 0 : direction > 0 ? 3 : 2; + return abs(p[0] - x0) < ε ? direction > 0 ? 0 : 3 : abs(p[0] - x1) < ε ? direction > 0 ? 2 : 1 : abs(p[1] - y0) < ε ? direction > 0 ? 1 : 0 : direction > 0 ? 3 : 2; } function compare(a, b) { - return comparePoints(a.point, b.point); + return comparePoints(a.x, b.x); } function comparePoints(a, b) { var ca = corner(a, 1), cb = corner(b, 1); return ca !== cb ? ca - cb : ca === 0 ? b[1] - a[1] : ca === 1 ? a[0] - b[0] : ca === 2 ? a[1] - b[1] : b[0] - a[0]; } - function clipLine(a, b) { - var dx = b[0] - a[0], dy = b[1] - a[1], t = [ 0, 1 ]; - if (Math.abs(dx) < ε && Math.abs(dy) < ε) return x0 <= a[0] && a[0] <= x1 && y0 <= a[1] && a[1] <= y1; - if (d3_geo_clipExtentT(x0 - a[0], dx, t) && d3_geo_clipExtentT(a[0] - x1, -dx, t) && d3_geo_clipExtentT(y0 - a[1], dy, t) && d3_geo_clipExtentT(a[1] - y1, -dy, t)) { - if (t[1] < 1) { - b[0] = a[0] + t[1] * dx; - b[1] = a[1] + t[1] * dy; - } - if (t[0] > 0) { - a[0] += t[0] * dx; - a[1] += t[0] * dy; - } - return true; - } - return false; - } } - function d3_geo_clipExtentT(num, denominator, t) { - if (Math.abs(denominator) < ε) return num <= 0; - var u = num / denominator; - if (denominator > 0) { - if (u > t[1]) return false; - if (u > t[0]) t[0] = u; - } else { - if (u < t[0]) return false; - if (u < t[1]) t[1] = u; - } - return true; - } function d3_geo_compose(a, b) { function compose(x, y) { return x = a(x, y), b(x[0], x[1]); } if (a.invert && b.invert) compose.invert = function(x, y) { @@ -3310,11 +3331,11 @@ d3_geo_pathAreaPolygon = 0; d3_geo_pathArea.lineStart = d3_geo_pathAreaRingStart; }, polygonEnd: function() { d3_geo_pathArea.lineStart = d3_geo_pathArea.lineEnd = d3_geo_pathArea.point = d3_noop; - d3_geo_pathAreaSum += Math.abs(d3_geo_pathAreaPolygon / 2); + d3_geo_pathAreaSum += abs(d3_geo_pathAreaPolygon / 2); } }; function d3_geo_pathAreaRingStart() { var x00, y00, x0, y0; d3_geo_pathArea.point = function(x, y) { @@ -3539,12 +3560,12 @@ return resample; } function resampleLineTo(x0, y0, λ0, a0, b0, c0, x1, y1, λ1, a1, b1, c1, depth, stream) { var dx = x1 - x0, dy = y1 - y0, d2 = dx * dx + dy * dy; if (d2 > 4 * δ2 && depth--) { - var a = a0 + a1, b = b0 + b1, c = c0 + c1, m = Math.sqrt(a * a + b * b + c * c), φ2 = Math.asin(c /= m), λ2 = Math.abs(Math.abs(c) - 1) < ε ? (λ0 + λ1) / 2 : Math.atan2(b, a), p = project(λ2, φ2), x2 = p[0], y2 = p[1], dx2 = x2 - x0, dy2 = y2 - y0, dz = dy * dx2 - dx * dy2; - if (dz * dz / d2 > δ2 || Math.abs((dx * dx2 + dy * dy2) / d2 - .5) > .3 || a0 * a1 + b0 * b1 + c0 * c1 < cosMinDistance) { + var a = a0 + a1, b = b0 + b1, c = c0 + c1, m = Math.sqrt(a * a + b * b + c * c), φ2 = Math.asin(c /= m), λ2 = abs(abs(c) - 1) < ε ? (λ0 + λ1) / 2 : Math.atan2(b, a), p = project(λ2, φ2), x2 = p[0], y2 = p[1], dx2 = x2 - x0, dy2 = y2 - y0, dz = dy * dx2 - dx * dy2; + if (dz * dz / d2 > δ2 || abs((dx * dx2 + dy * dy2) / d2 - .5) > .3 || a0 * a1 + b0 * b1 + c0 * c1 < cosMinDistance) { resampleLineTo(x0, y0, λ0, a0, b0, c0, x2, y2, λ2, a /= m, b /= m, c, depth, stream); stream.point(x2, y2); resampleLineTo(x2, y2, λ2, a, b, c, x1, y1, λ1, a1, b1, c1, depth, stream); } } @@ -3848,13 +3869,13 @@ coordinates: lines() }; } function lines() { return d3.range(Math.ceil(X0 / DX) * DX, X1, DX).map(X).concat(d3.range(Math.ceil(Y0 / DY) * DY, Y1, DY).map(Y)).concat(d3.range(Math.ceil(x0 / dx) * dx, x1, dx).filter(function(x) { - return Math.abs(x % DX) > ε; + return abs(x % DX) > ε; }).map(x)).concat(d3.range(Math.ceil(y0 / dy) * dy, y1, dy).filter(function(y) { - return Math.abs(y % DY) > ε; + return abs(y % DY) > ε; }).map(y)); } graticule.lines = function() { return lines().map(function(coordinates) { return { @@ -3998,11 +4019,11 @@ }; d3_geo_length.lineEnd = function() { d3_geo_length.point = d3_geo_length.lineEnd = d3_noop; }; function nextPoint(λ, φ) { - var sinφ = Math.sin(φ *= d3_radians), cosφ = Math.cos(φ), t = Math.abs((λ *= d3_radians) - λ0), cosΔλ = Math.cos(t); + var sinφ = Math.sin(φ *= d3_radians), cosφ = Math.cos(φ), t = abs((λ *= d3_radians) - λ0), cosΔλ = Math.cos(t); d3_geo_lengthSum += Math.atan2(Math.sqrt((t = cosφ * Math.sin(t)) * t + (t = cosφ0 * sinφ - sinφ0 * cosφ * cosΔλ) * t), sinφ0 * sinφ + cosφ0 * cosφ * cosΔλ); λ0 = λ, sinφ0 = sinφ, cosφ0 = cosφ; } } function d3_geo_azimuthal(scale, angle) { @@ -4035,11 +4056,11 @@ var cosφ0 = Math.cos(φ0), t = function(φ) { return Math.tan(π / 4 + φ / 2); }, n = φ0 === φ1 ? Math.sin(φ0) : Math.log(cosφ0 / Math.cos(φ1)) / Math.log(t(φ1) / t(φ0)), F = cosφ0 * Math.pow(t(φ0), n) / n; if (!n) return d3_geo_mercator; function forward(λ, φ) { - var ρ = Math.abs(Math.abs(φ) - halfπ) < ε ? 0 : F / Math.pow(t(φ), n); + var ρ = abs(abs(φ) - halfπ) < ε ? 0 : F / Math.pow(t(φ), n); return [ ρ * Math.sin(n * λ), F - ρ * Math.cos(n * λ) ]; } forward.invert = function(x, y) { var ρ0_y = F - y, ρ = d3_sgn(n) * Math.sqrt(x * x + ρ0_y * ρ0_y); return [ Math.atan2(x, ρ0_y) / n, 2 * Math.atan(Math.pow(F / ρ, 1 / n)) - halfπ ]; @@ -4049,11 +4070,11 @@ (d3.geo.conicConformal = function() { return d3_geo_conic(d3_geo_conicConformal); }).raw = d3_geo_conicConformal; function d3_geo_conicEquidistant(φ0, φ1) { var cosφ0 = Math.cos(φ0), n = φ0 === φ1 ? Math.sin(φ0) : (cosφ0 - Math.cos(φ1)) / (φ1 - φ0), G = cosφ0 / n + φ0; - if (Math.abs(n) < ε) return d3_geo_equirectangular; + if (abs(n) < ε) return d3_geo_equirectangular; function forward(λ, φ) { var ρ = G - φ; return [ ρ * Math.sin(n * λ), G - ρ * Math.cos(n * λ) ]; } forward.invert = function(x, y) { @@ -4360,11 +4381,11 @@ } function d3_svg_lineMonotoneTangents(points) { var tangents = [], d, a, b, s, m = d3_svg_lineFiniteDifferences(points), i = -1, j = points.length - 1; while (++i < j) { d = d3_svg_lineSlope(points[i], points[i + 1]); - if (Math.abs(d) < ε) { + if (abs(d) < ε) { m[i] = m[i + 1] = 0; } else { a = m[i] / d; b = m[i + 1] / d; s = a * a + b * b; @@ -4531,428 +4552,657 @@ } function d3_geom_polygonClosed(coordinates) { var a = coordinates[0], b = coordinates[coordinates.length - 1]; return !(a[0] - b[0] || a[1] - b[1]); } - d3.geom.delaunay = function(vertices) { - var edges = vertices.map(function() { - return []; - }), triangles = []; - d3_geom_voronoiTessellate(vertices, function(e) { - edges[e.region.l.index].push(vertices[e.region.r.index]); - }); - edges.forEach(function(edge, i) { - var v = vertices[i], cx = v[0], cy = v[1]; - edge.forEach(function(v) { - v.angle = Math.atan2(v[0] - cx, v[1] - cy); - }); - edge.sort(function(a, b) { - return a.angle - b.angle; - }); - for (var j = 0, m = edge.length - 1; j < m; j++) { - triangles.push([ v, edge[j], edge[j + 1] ]); - } - }); - return triangles; - }; - d3.geom.voronoi = function(points) { - var x = d3_svg_lineX, y = d3_svg_lineY, clipPolygon = null; - if (arguments.length) return voronoi(points); - function voronoi(data) { - var points, polygons = data.map(function() { - return []; - }), fx = d3_functor(x), fy = d3_functor(y), d, i, n = data.length, Z = 1e6; - if (fx === d3_svg_lineX && fy === d3_svg_lineY) points = data; else for (points = new Array(n), - i = 0; i < n; ++i) { - points[i] = [ +fx.call(this, d = data[i], i), +fy.call(this, d, i) ]; - } - d3_geom_voronoiTessellate(points, function(e) { - var s1, s2, x1, x2, y1, y2; - if (e.a === 1 && e.b >= 0) { - s1 = e.ep.r; - s2 = e.ep.l; + var d3_geom_voronoiEdges, d3_geom_voronoiCells, d3_geom_voronoiBeaches, d3_geom_voronoiBeachPool = [], d3_geom_voronoiFirstCircle, d3_geom_voronoiCircles, d3_geom_voronoiCirclePool = []; + function d3_geom_voronoiBeach() { + d3_geom_voronoiRedBlackNode(this); + this.edge = this.site = this.circle = null; + } + function d3_geom_voronoiCreateBeach(site) { + var beach = d3_geom_voronoiBeachPool.pop() || new d3_geom_voronoiBeach(); + beach.site = site; + return beach; + } + function d3_geom_voronoiDetachBeach(beach) { + d3_geom_voronoiDetachCircle(beach); + d3_geom_voronoiBeaches.remove(beach); + d3_geom_voronoiBeachPool.push(beach); + d3_geom_voronoiRedBlackNode(beach); + } + function d3_geom_voronoiRemoveBeach(beach) { + var circle = beach.circle, x = circle.x, y = circle.cy, vertex = { + x: x, + y: y + }, previous = beach.P, next = beach.N, disappearing = [ beach ]; + d3_geom_voronoiDetachBeach(beach); + var lArc = previous; + while (lArc.circle && abs(x - lArc.circle.x) < ε && abs(y - lArc.circle.cy) < ε) { + previous = lArc.P; + disappearing.unshift(lArc); + d3_geom_voronoiDetachBeach(lArc); + lArc = previous; + } + disappearing.unshift(lArc); + d3_geom_voronoiDetachCircle(lArc); + var rArc = next; + while (rArc.circle && abs(x - rArc.circle.x) < ε && abs(y - rArc.circle.cy) < ε) { + next = rArc.N; + disappearing.push(rArc); + d3_geom_voronoiDetachBeach(rArc); + rArc = next; + } + disappearing.push(rArc); + d3_geom_voronoiDetachCircle(rArc); + var nArcs = disappearing.length, iArc; + for (iArc = 1; iArc < nArcs; ++iArc) { + rArc = disappearing[iArc]; + lArc = disappearing[iArc - 1]; + d3_geom_voronoiSetEdgeEnd(rArc.edge, lArc.site, rArc.site, vertex); + } + lArc = disappearing[0]; + rArc = disappearing[nArcs - 1]; + rArc.edge = d3_geom_voronoiCreateEdge(lArc.site, rArc.site, null, vertex); + d3_geom_voronoiAttachCircle(lArc); + d3_geom_voronoiAttachCircle(rArc); + } + function d3_geom_voronoiAddBeach(site) { + var x = site.x, directrix = site.y, lArc, rArc, dxl, dxr, node = d3_geom_voronoiBeaches._; + while (node) { + dxl = d3_geom_voronoiLeftBreakPoint(node, directrix) - x; + if (dxl > ε) node = node.L; else { + dxr = x - d3_geom_voronoiRightBreakPoint(node, directrix); + if (dxr > ε) { + if (!node.R) { + lArc = node; + break; + } + node = node.R; } else { - s1 = e.ep.l; - s2 = e.ep.r; - } - if (e.a === 1) { - y1 = s1 ? s1.y : -Z; - x1 = e.c - e.b * y1; - y2 = s2 ? s2.y : Z; - x2 = e.c - e.b * y2; - } else { - x1 = s1 ? s1.x : -Z; - y1 = e.c - e.a * x1; - x2 = s2 ? s2.x : Z; - 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); - }); - polygons = polygons.map(function(polygon, i) { - var cx = points[i][0], cy = points[i][1], angle = polygon.map(function(v) { - return Math.atan2(v[0] - cx, v[1] - cy); - }), order = d3.range(polygon.length).sort(function(a, b) { - return angle[a] - angle[b]; - }); - return order.filter(function(d, i) { - return !i || angle[d] - angle[order[i - 1]] > ε; - }).map(function(d) { - return polygon[d]; - }); - }); - polygons.forEach(function(polygon, i) { - var n = polygon.length; - if (!n) return polygon.push([ -Z, -Z ], [ -Z, Z ], [ Z, Z ], [ Z, -Z ]); - if (n > 2) return; - var p0 = points[i], p1 = polygon[0], p2 = polygon[1], x0 = p0[0], y0 = p0[1], x1 = p1[0], y1 = p1[1], x2 = p2[0], y2 = p2[1], dx = Math.abs(x2 - x1), dy = y2 - y1; - if (Math.abs(dy) < ε) { - var y = y0 < y1 ? -Z : Z; - polygon.push([ -Z, y ], [ Z, y ]); - } else if (dx < ε) { - var x = x0 < x1 ? -Z : Z; - polygon.push([ x, -Z ], [ x, Z ]); - } else { - var y = (x2 - x1) * (y1 - y0) < (x1 - x0) * (y2 - y1) ? Z : -Z, z = Math.abs(dy) - dx; - if (Math.abs(z) < ε) { - polygon.push([ dy < 0 ? y : -y, y ]); + if (dxl > -ε) { + lArc = node.P; + rArc = node; + } else if (dxr > -ε) { + lArc = node; + rArc = node.N; } else { - if (z > 0) y *= -1; - polygon.push([ -Z, y ], [ Z, y ]); + lArc = rArc = node; } + break; } - }); - if (clipPolygon) for (i = 0; i < n; ++i) clipPolygon.clip(polygons[i]); - for (i = 0; i < n; ++i) polygons[i].point = data[i]; - return polygons; + } } - voronoi.x = function(_) { - return arguments.length ? (x = _, voronoi) : x; + var newArc = d3_geom_voronoiCreateBeach(site); + d3_geom_voronoiBeaches.insert(lArc, newArc); + if (!lArc && !rArc) return; + if (lArc === rArc) { + d3_geom_voronoiDetachCircle(lArc); + rArc = d3_geom_voronoiCreateBeach(lArc.site); + d3_geom_voronoiBeaches.insert(newArc, rArc); + newArc.edge = rArc.edge = d3_geom_voronoiCreateEdge(lArc.site, newArc.site); + d3_geom_voronoiAttachCircle(lArc); + d3_geom_voronoiAttachCircle(rArc); + return; + } + if (!rArc) { + newArc.edge = d3_geom_voronoiCreateEdge(lArc.site, newArc.site); + return; + } + d3_geom_voronoiDetachCircle(lArc); + d3_geom_voronoiDetachCircle(rArc); + var lSite = lArc.site, ax = lSite.x, ay = lSite.y, bx = site.x - ax, by = site.y - ay, rSite = rArc.site, cx = rSite.x - ax, cy = rSite.y - ay, d = 2 * (bx * cy - by * cx), hb = bx * bx + by * by, hc = cx * cx + cy * cy, vertex = { + x: (cy * hb - by * hc) / d + ax, + y: (bx * hc - cx * hb) / d + ay }; - voronoi.y = function(_) { - return arguments.length ? (y = _, voronoi) : y; - }; - voronoi.clipExtent = function(_) { - if (!arguments.length) return clipPolygon && [ clipPolygon[0], clipPolygon[2] ]; - if (_ == null) clipPolygon = null; else { - var x1 = +_[0][0], y1 = +_[0][1], x2 = +_[1][0], y2 = +_[1][1]; - clipPolygon = d3.geom.polygon([ [ x1, y1 ], [ x1, y2 ], [ x2, y2 ], [ x2, y1 ] ]); + d3_geom_voronoiSetEdgeEnd(rArc.edge, lSite, rSite, vertex); + newArc.edge = d3_geom_voronoiCreateEdge(lSite, site, null, vertex); + rArc.edge = d3_geom_voronoiCreateEdge(site, rSite, null, vertex); + d3_geom_voronoiAttachCircle(lArc); + d3_geom_voronoiAttachCircle(rArc); + } + function d3_geom_voronoiLeftBreakPoint(arc, directrix) { + var site = arc.site, rfocx = site.x, rfocy = site.y, pby2 = rfocy - directrix; + if (!pby2) return rfocx; + var lArc = arc.P; + if (!lArc) return -Infinity; + site = lArc.site; + var lfocx = site.x, lfocy = site.y, plby2 = lfocy - directrix; + if (!plby2) return lfocx; + var hl = lfocx - rfocx, aby2 = 1 / pby2 - 1 / plby2, b = hl / plby2; + if (aby2) return (-b + Math.sqrt(b * b - 2 * aby2 * (hl * hl / (-2 * plby2) - lfocy + plby2 / 2 + rfocy - pby2 / 2))) / aby2 + rfocx; + return (rfocx + lfocx) / 2; + } + function d3_geom_voronoiRightBreakPoint(arc, directrix) { + var rArc = arc.N; + if (rArc) return d3_geom_voronoiLeftBreakPoint(rArc, directrix); + var site = arc.site; + return site.y === directrix ? site.x : Infinity; + } + function d3_geom_voronoiCell(site) { + this.site = site; + this.edges = []; + } + d3_geom_voronoiCell.prototype.prepare = function() { + var halfEdges = this.edges, iHalfEdge = halfEdges.length, edge; + while (iHalfEdge--) { + edge = halfEdges[iHalfEdge].edge; + if (!edge.b || !edge.a) halfEdges.splice(iHalfEdge, 1); + } + halfEdges.sort(d3_geom_voronoiHalfEdgeOrder); + return halfEdges.length; + }; + function d3_geom_voronoiCloseCells(extent) { + var x0 = extent[0][0], x1 = extent[1][0], y0 = extent[0][1], y1 = extent[1][1], x2, y2, x3, y3, cells = d3_geom_voronoiCells, iCell = cells.length, cell, iHalfEdge, halfEdges, nHalfEdges, start, end; + while (iCell--) { + cell = cells[iCell]; + if (!cell || !cell.prepare()) continue; + halfEdges = cell.edges; + nHalfEdges = halfEdges.length; + iHalfEdge = 0; + while (iHalfEdge < nHalfEdges) { + end = halfEdges[iHalfEdge].end(), x3 = end.x, y3 = end.y; + start = halfEdges[++iHalfEdge % nHalfEdges].start(), x2 = start.x, y2 = start.y; + if (abs(x3 - x2) > ε || abs(y3 - y2) > ε) { + halfEdges.splice(iHalfEdge, 0, new d3_geom_voronoiHalfEdge(d3_geom_voronoiCreateBorderEdge(cell.site, end, abs(x3 - x0) < ε && y1 - y3 > ε ? { + x: x0, + y: abs(x2 - x0) < ε ? y2 : y1 + } : abs(y3 - y1) < ε && x1 - x3 > ε ? { + x: abs(y2 - y1) < ε ? x2 : x1, + y: y1 + } : abs(x3 - x1) < ε && y3 - y0 > ε ? { + x: x1, + y: abs(x2 - x1) < ε ? y2 : y0 + } : abs(y3 - y0) < ε && x3 - x0 > ε ? { + x: abs(y2 - y0) < ε ? x2 : x0, + y: y0 + } : null), cell.site, null)); + ++nHalfEdges; + } } - return voronoi; - }; - voronoi.size = function(_) { - if (!arguments.length) return clipPolygon && clipPolygon[2]; - return voronoi.clipExtent(_ && [ [ 0, 0 ], _ ]); - }; - voronoi.links = function(data) { - var points, graph = data.map(function() { - return []; - }), links = [], fx = d3_functor(x), fy = d3_functor(y), d, i, n = data.length; - if (fx === d3_svg_lineX && fy === d3_svg_lineY) points = data; else for (points = new Array(n), - i = 0; i < n; ++i) { - points[i] = [ +fx.call(this, d = data[i], i), +fy.call(this, d, i) ]; + } + } + function d3_geom_voronoiHalfEdgeOrder(a, b) { + return b.angle - a.angle; + } + function d3_geom_voronoiCircle() { + d3_geom_voronoiRedBlackNode(this); + this.x = this.y = this.arc = this.site = this.cy = null; + } + function d3_geom_voronoiAttachCircle(arc) { + var lArc = arc.P, rArc = arc.N; + if (!lArc || !rArc) return; + var lSite = lArc.site, cSite = arc.site, rSite = rArc.site; + if (lSite === rSite) return; + var bx = cSite.x, by = cSite.y, ax = lSite.x - bx, ay = lSite.y - by, cx = rSite.x - bx, cy = rSite.y - by; + var d = 2 * (ax * cy - ay * cx); + if (d >= -ε2) return; + var ha = ax * ax + ay * ay, hc = cx * cx + cy * cy, x = (cy * ha - ay * hc) / d, y = (ax * hc - cx * ha) / d, cy = y + by; + var circle = d3_geom_voronoiCirclePool.pop() || new d3_geom_voronoiCircle(); + circle.arc = arc; + circle.site = cSite; + circle.x = x + bx; + circle.y = cy + Math.sqrt(x * x + y * y); + circle.cy = cy; + arc.circle = circle; + var before = null, node = d3_geom_voronoiCircles._; + while (node) { + if (circle.y < node.y || circle.y === node.y && circle.x <= node.x) { + if (node.L) node = node.L; else { + before = node.P; + break; + } + } else { + if (node.R) node = node.R; else { + before = node; + break; + } } - d3_geom_voronoiTessellate(points, function(e) { - var l = e.region.l.index, r = e.region.r.index; - if (graph[l][r]) return; - graph[l][r] = graph[r][l] = true; - links.push({ - source: data[l], - target: data[r] - }); - }); - return links; - }; - voronoi.triangles = function(data) { - if (x === d3_svg_lineX && y === d3_svg_lineY) return d3.geom.delaunay(data); - var points = new Array(n), fx = d3_functor(x), fy = d3_functor(y), d, i = -1, n = data.length; - while (++i < n) { - (points[i] = [ +fx.call(this, d = data[i], i), +fy.call(this, d, i) ]).data = d; + } + d3_geom_voronoiCircles.insert(before, circle); + if (!before) d3_geom_voronoiFirstCircle = circle; + } + function d3_geom_voronoiDetachCircle(arc) { + var circle = arc.circle; + if (circle) { + if (!circle.P) d3_geom_voronoiFirstCircle = circle.N; + d3_geom_voronoiCircles.remove(circle); + d3_geom_voronoiCirclePool.push(circle); + d3_geom_voronoiRedBlackNode(circle); + arc.circle = null; + } + } + function d3_geom_voronoiClipEdges(extent) { + var edges = d3_geom_voronoiEdges, clip = d3_geom_clipLine(extent[0][0], extent[0][1], extent[1][0], extent[1][1]), i = edges.length, e; + while (i--) { + e = edges[i]; + if (!d3_geom_voronoiConnectEdge(e, extent) || !clip(e) || abs(e.a.x - e.b.x) < ε && abs(e.a.y - e.b.y) < ε) { + e.a = e.b = null; + edges.splice(i, 1); } - return d3.geom.delaunay(points).map(function(triangle) { - return triangle.map(function(point) { - return point.data; - }); - }); - }; - return voronoi; - }; - var d3_geom_voronoiOpposite = { - l: "r", - r: "l" - }; - function d3_geom_voronoiTessellate(points, callback) { - var Sites = { - list: points.map(function(v, i) { - return { - index: i, - x: v[0], - y: v[1] + } + } + function d3_geom_voronoiConnectEdge(edge, extent) { + var vb = edge.b; + if (vb) return true; + var va = edge.a, x0 = extent[0][0], x1 = extent[1][0], y0 = extent[0][1], y1 = extent[1][1], lSite = edge.l, rSite = edge.r, lx = lSite.x, ly = lSite.y, rx = rSite.x, ry = rSite.y, fx = (lx + rx) / 2, fy = (ly + ry) / 2, fm, fb; + if (ry === ly) { + if (fx < x0 || fx >= x1) return; + if (lx > rx) { + if (!va) va = { + x: fx, + y: y0 + }; else if (va.y >= y1) return; + vb = { + x: fx, + y: y1 }; - }).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 + } else { + if (!va) va = { + x: fx, + y: y1 + }; else if (va.y < y0) return; + vb = { + x: fx, + y: y0 }; - }, - 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_geom_voronoiOpposite[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 { + fm = (lx - rx) / (ry - ly); + fb = fy - fm * fx; + if (fm < -1 || fm > 1) { + if (lx > rx) { + if (!va) va = { + x: (y0 - fb) / fm, + y: y0 + }; else if (va.y >= y1) return; + vb = { + x: (y1 - fb) / fm, + y: y1 + }; } else { - newEdge.b = 1; - newEdge.a = dx / dy; - newEdge.c /= dy; + if (!va) va = { + x: (y1 - fb) / fm, + y: y1 + }; else if (va.y < y0) return; + vb = { + x: (y0 - fb) / fm, + y: y0 + }; } - return newEdge; - }, - intersect: function(el1, el2) { - var e1 = el1.edge, e2 = el2.edge; - if (!e1 || !e2 || e1.region.r == e2.region.r) { - return null; + } else { + if (ly < ry) { + if (!va) va = { + x: x0, + y: fm * x0 + fb + }; else if (va.x >= x1) return; + vb = { + x: x1, + y: fm * x1 + fb + }; + } else { + if (!va) va = { + x: x1, + y: fm * x1 + fb + }; else if (va.x < x0) return; + vb = { + x: x0, + y: fm * x0 + fb + }; } - 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; + } + } + edge.a = va; + edge.b = vb; + return true; + } + function d3_geom_voronoiEdge(lSite, rSite) { + this.l = lSite; + this.r = rSite; + this.a = this.b = null; + } + function d3_geom_voronoiCreateEdge(lSite, rSite, va, vb) { + var edge = new d3_geom_voronoiEdge(lSite, rSite); + d3_geom_voronoiEdges.push(edge); + if (va) d3_geom_voronoiSetEdgeEnd(edge, lSite, rSite, va); + if (vb) d3_geom_voronoiSetEdgeEnd(edge, rSite, lSite, vb); + d3_geom_voronoiCells[lSite.i].edges.push(new d3_geom_voronoiHalfEdge(edge, lSite, rSite)); + d3_geom_voronoiCells[rSite.i].edges.push(new d3_geom_voronoiHalfEdge(edge, rSite, lSite)); + return edge; + } + function d3_geom_voronoiCreateBorderEdge(lSite, va, vb) { + var edge = new d3_geom_voronoiEdge(lSite, null); + edge.a = va; + edge.b = vb; + d3_geom_voronoiEdges.push(edge); + return edge; + } + function d3_geom_voronoiSetEdgeEnd(edge, lSite, rSite, vertex) { + if (!edge.a && !edge.b) { + edge.a = vertex; + edge.l = lSite; + edge.r = rSite; + } else if (edge.l === rSite) { + edge.b = vertex; + } else { + edge.a = vertex; + } + } + function d3_geom_voronoiHalfEdge(edge, lSite, rSite) { + var va = edge.a, vb = edge.b; + this.edge = edge; + this.site = lSite; + this.angle = rSite ? Math.atan2(rSite.y - lSite.y, rSite.x - lSite.x) : edge.l === lSite ? Math.atan2(vb.x - va.x, va.y - vb.y) : Math.atan2(va.x - vb.x, vb.y - va.y); + } + d3_geom_voronoiHalfEdge.prototype = { + start: function() { + return this.edge.l === this.site ? this.edge.a : this.edge.b; + }, + end: function() { + return this.edge.l === this.site ? this.edge.b : this.edge.a; + } + }; + function d3_geom_voronoiRedBlackTree() { + this._ = null; + } + function d3_geom_voronoiRedBlackNode(node) { + node.U = node.C = node.L = node.R = node.P = node.N = null; + } + d3_geom_voronoiRedBlackTree.prototype = { + insert: function(after, node) { + var parent, grandpa, uncle; + if (after) { + node.P = after; + node.N = after.N; + if (after.N) after.N.P = node; + after.N = node; + if (after.R) { + after = after.R; + while (after.L) after = after.L; + after.L = node; } else { - el = el2; - e = e2; + after.R = node; } - 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; + parent = after; + } else if (this._) { + after = d3_geom_voronoiRedBlackFirst(this._); + node.P = null; + node.N = after; + after.P = after.L = node; + parent = after; + } else { + node.P = node.N = null; + this._ = node; + parent = null; + } + node.L = node.R = null; + node.U = parent; + node.C = true; + after = node; + while (parent && parent.C) { + grandpa = parent.U; + if (parent === grandpa.L) { + uncle = grandpa.R; + if (uncle && uncle.C) { + parent.C = uncle.C = false; + grandpa.C = true; + after = grandpa; } else { - above = p.x + p.y * e.b > e.c; - if (e.b < 0) { - above = !above; + if (after === parent.R) { + d3_geom_voronoiRedBlackRotateLeft(this, parent); + after = parent; + parent = after.U; } - if (!above) { - fast = 1; - } + parent.C = false; + grandpa.C = true; + d3_geom_voronoiRedBlackRotateRight(this, grandpa); } - 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 { + uncle = grandpa.L; + if (uncle && uncle.C) { + parent.C = uncle.C = false; + grandpa.C = true; + after = grandpa; + } else { + if (after === parent.L) { + d3_geom_voronoiRedBlackRotateRight(this, parent); + after = parent; + parent = after.U; } + parent.C = false; + grandpa.C = true; + d3_geom_voronoiRedBlackRotateLeft(this, grandpa); } + } + parent = after.U; + } + this._.C = false; + }, + remove: function(node) { + if (node.N) node.N.P = node.P; + if (node.P) node.P.N = node.N; + node.N = node.P = null; + var parent = node.U, sibling, left = node.L, right = node.R, next, red; + if (!left) next = right; else if (!right) next = left; else next = d3_geom_voronoiRedBlackFirst(right); + if (parent) { + if (parent.L === node) parent.L = next; else parent.R = next; + } else { + this._ = next; + } + if (left && right) { + red = next.C; + next.C = node.C; + next.L = left; + left.U = next; + if (next !== right) { + parent = next.U; + next.U = node.U; + node = next.R; + parent.L = node; + next.R = right; + right.U = next; } else { - 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; + next.U = parent; + parent = next; + node = next.R; } - return he.side === "l" ? above : !above; - }, - endPoint: function(edge, side, site) { - edge.ep[side] = site; - if (!edge.ep[d3_geom_voronoiOpposite[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); + } else { + red = node.C; + node = next; } - }; - 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 < l; i++) { - var next = list[i]; - if (he.ystar > next.ystar || he.ystar == next.ystar && site.x > next.vertex.x) { - continue; - } else { + if (node) node.U = parent; + if (red) return; + if (node && node.C) { + node.C = false; + return; + } + do { + if (node === this._) break; + if (node === parent.L) { + sibling = parent.R; + if (sibling.C) { + sibling.C = false; + parent.C = true; + d3_geom_voronoiRedBlackRotateLeft(this, parent); + sibling = parent.R; + } + if (sibling.L && sibling.L.C || sibling.R && sibling.R.C) { + if (!sibling.R || !sibling.R.C) { + sibling.L.C = false; + sibling.C = true; + d3_geom_voronoiRedBlackRotateRight(this, sibling); + sibling = parent.R; + } + sibling.C = parent.C; + parent.C = sibling.R.C = false; + d3_geom_voronoiRedBlackRotateLeft(this, parent); + node = this._; break; } + } else { + sibling = parent.L; + if (sibling.C) { + sibling.C = false; + parent.C = true; + d3_geom_voronoiRedBlackRotateRight(this, parent); + sibling = parent.L; + } + if (sibling.L && sibling.L.C || sibling.R && sibling.R.C) { + if (!sibling.L || !sibling.L.C) { + sibling.R.C = false; + sibling.C = true; + d3_geom_voronoiRedBlackRotateLeft(this, sibling); + sibling = parent.L; + } + sibling.C = parent.C; + parent.C = sibling.L.C = false; + d3_geom_voronoiRedBlackRotateRight(this, parent); + node = this._; + break; + } } - list.splice(i, 0, he); - }, - del: function(he) { - for (var i = 0, ls = EventQueue.list, l = ls.length; i < l && ls[i] != he; ++i) {} - ls.splice(i, 1); - }, - empty: function() { - return EventQueue.list.length === 0; - }, - nextEvent: function(he) { - for (var i = 0, ls = EventQueue.list, l = ls.length; i < l; ++i) { - if (ls[i] == he) return ls[i + 1]; - } - return null; - }, - min: function() { - var elem = EventQueue.list[0]; - return { - x: elem.vertex.x, - y: elem.ystar - }; - }, - extractMin: function() { - return EventQueue.list.shift(); - } - }; - EdgeList.init(); - Sites.bottomSite = Sites.list.shift(); - var newSite = Sites.list.shift(), newIntStar; - var lbnd, rbnd, llbnd, rrbnd, bisector; - var bot, top, temp, p, v; - var e, pm; + sibling.C = true; + node = parent; + parent = parent.U; + } while (!node.C); + if (node) node.C = false; + } + }; + function d3_geom_voronoiRedBlackRotateLeft(tree, node) { + var p = node, q = node.R, parent = p.U; + if (parent) { + if (parent.L === p) parent.L = q; else parent.R = q; + } else { + tree._ = q; + } + q.U = parent; + p.U = q; + p.R = q.L; + if (p.R) p.R.U = p; + q.L = p; + } + function d3_geom_voronoiRedBlackRotateRight(tree, node) { + var p = node, q = node.L, parent = p.U; + if (parent) { + if (parent.L === p) parent.L = q; else parent.R = q; + } else { + tree._ = q; + } + q.U = parent; + p.U = q; + p.L = q.R; + if (p.L) p.L.U = p; + q.R = p; + } + function d3_geom_voronoiRedBlackFirst(node) { + while (node.L) node = node.L; + return node; + } + function d3_geom_voronoi(sites, bbox) { + var site = sites.sort(d3_geom_voronoiVertexOrder).pop(), x0, y0, circle; + d3_geom_voronoiEdges = []; + d3_geom_voronoiCells = new Array(sites.length); + d3_geom_voronoiBeaches = new d3_geom_voronoiRedBlackTree(); + d3_geom_voronoiCircles = new d3_geom_voronoiRedBlackTree(); while (true) { - if (!EventQueue.empty()) { - newIntStar = EventQueue.min(); - } - if (newSite && (EventQueue.empty() || newSite.y < newIntStar.y || newSite.y == newIntStar.y && newSite.x < newIntStar.x)) { - lbnd = EdgeList.leftBound(newSite); - rbnd = EdgeList.right(lbnd); - bot = EdgeList.rightRegion(lbnd); - e = Geom.bisect(bot, newSite); - bisector = EdgeList.createHalfEdge(e, "l"); - EdgeList.insert(lbnd, bisector); - p = Geom.intersect(lbnd, bisector); - if (p) { - EventQueue.del(lbnd); - EventQueue.insert(lbnd, p, Geom.distance(p, newSite)); + circle = d3_geom_voronoiFirstCircle; + if (site && (!circle || site.y < circle.y || site.y === circle.y && site.x < circle.x)) { + if (site.x !== x0 || site.y !== y0) { + d3_geom_voronoiCells[site.i] = new d3_geom_voronoiCell(site); + d3_geom_voronoiAddBeach(site); + x0 = site.x, y0 = site.y; } - lbnd = bisector; - bisector = EdgeList.createHalfEdge(e, "r"); - EdgeList.insert(lbnd, bisector); - p = Geom.intersect(bisector, rbnd); - if (p) { - EventQueue.insert(bisector, p, Geom.distance(p, newSite)); - } - newSite = Sites.list.shift(); - } else if (!EventQueue.empty()) { - lbnd = EventQueue.extractMin(); - llbnd = EdgeList.left(lbnd); - rbnd = EdgeList.right(lbnd); - rrbnd = EdgeList.right(rbnd); - bot = EdgeList.leftRegion(lbnd); - top = EdgeList.rightRegion(rbnd); - v = lbnd.vertex; - Geom.endPoint(lbnd.edge, lbnd.side, v); - Geom.endPoint(rbnd.edge, rbnd.side, v); - EdgeList.del(lbnd); - EventQueue.del(rbnd); - EdgeList.del(rbnd); - pm = "l"; - if (bot.y > 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_geom_voronoiOpposite[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)); - } + site = sites.pop(); + } else if (circle) { + d3_geom_voronoiRemoveBeach(circle.arc); } else { break; } } - for (lbnd = EdgeList.right(EdgeList.leftEnd); lbnd != EdgeList.rightEnd; lbnd = EdgeList.right(lbnd)) { - callback(lbnd.edge); + if (bbox) d3_geom_voronoiClipEdges(bbox), d3_geom_voronoiCloseCells(bbox); + var diagram = { + cells: d3_geom_voronoiCells, + edges: d3_geom_voronoiEdges + }; + d3_geom_voronoiBeaches = d3_geom_voronoiCircles = d3_geom_voronoiEdges = d3_geom_voronoiCells = null; + return diagram; + } + function d3_geom_voronoiVertexOrder(a, b) { + return b.y - a.y || b.x - a.x; + } + d3.geom.voronoi = function(points) { + var x = d3_svg_lineX, y = d3_svg_lineY, fx = x, fy = y, clipExtent = d3_geom_voronoiClipExtent; + if (points) return voronoi(points); + function voronoi(data) { + var polygons = []; + d3_geom_voronoi(sites(data), clipExtent).cells.forEach(function(cell, i) { + (polygons[i] = cell.edges.length ? cell.edges.map(function(edge) { + var start = edge.start(); + return [ start.x, start.y ]; + }) : [ [ clipExtent[0][0], clipExtent[1][1] ], [ clipExtent[1][0], clipExtent[1][1] ], [ clipExtent[1][0], clipExtent[0][1] ], [ clipExtent[0][0], clipExtent[0][1] ] ]).point = data[i]; + }); + return polygons; } + function sites(data) { + return data.map(function(d, i) { + return { + x: fx(d, i), + y: fy(d, i), + i: i + }; + }); + } + voronoi.links = function(data) { + return d3_geom_voronoi(sites(data)).edges.filter(function(edge) { + return edge.l && edge.r; + }).map(function(edge) { + return { + source: data[edge.l.i], + target: data[edge.r.i] + }; + }); + }; + voronoi.triangles = function(data) { + var triangles = []; + d3_geom_voronoi(sites(data)).cells.forEach(function(cell, i) { + var site = cell.site, edges = cell.edges.sort(d3_geom_voronoiHalfEdgeOrder), j = -1, m = edges.length, e0, s0, e1 = edges[m - 1].edge, s1 = e1.l === site ? e1.r : e1.l; + while (++j < m) { + e0 = e1; + s0 = s1; + e1 = edges[j].edge; + s1 = e1.l === site ? e1.r : e1.l; + if (i < s0.i && i < s1.i && d3_geom_voronoiTriangleArea(site, s0, s1) < 0) { + triangles.push([ data[i], data[s0.i], data[s1.i] ]); + } + } + }); + return triangles; + }; + voronoi.x = function(_) { + return arguments.length ? (fx = d3_functor(x = _), voronoi) : x; + }; + voronoi.y = function(_) { + return arguments.length ? (fy = d3_functor(y = _), voronoi) : y; + }; + voronoi.clipExtent = function(_) { + if (!arguments.length) return clipExtent === d3_geom_voronoiClipExtent ? null : clipExtent; + clipExtent = _ == null ? d3_geom_voronoiClipExtent : _; + return voronoi; + }; + voronoi.size = function(_) { + if (!arguments.length) return clipExtent === d3_geom_voronoiClipExtent ? null : clipExtent && clipExtent[1]; + return voronoi.clipExtent(_ && [ [ 0, 0 ], _ ]); + }; + return voronoi; + }; + var d3_geom_voronoiClipExtent = [ [ -1e6, -1e6 ], [ 1e6, 1e6 ] ]; + function d3_geom_voronoiTriangleArea(a, b, c) { + return (a.x - c.x) * (b.y - a.y) - (a.x - b.x) * (c.y - a.y); } + d3.geom.delaunay = function(vertices) { + return d3.geom.voronoi().triangles(vertices); + }; d3.geom.quadtree = function(points, x1, y1, x2, y2) { var x = d3_svg_lineX, y = d3_svg_lineY, compat; if (compat = arguments.length) { x = d3_geom_quadtreeCompatX; y = d3_geom_quadtreeCompatY; @@ -4994,11 +5244,11 @@ function insert(n, d, x, y, x1, y1, x2, y2) { if (isNaN(x) || isNaN(y)) return; if (n.leaf) { var nx = n.x, ny = n.y; if (nx != null) { - if (Math.abs(nx - x) + Math.abs(ny - y) < .01) { + if (abs(nx - x) + abs(ny - y) < .01) { insertChild(n, d, x, y, x1, y1, x2, y2); } else { var nPoint = n.point; n.x = n.y = n.point = null; insertChild(n, nPoint, nx, ny, x1, y1, x2, y2); @@ -5240,11 +5490,11 @@ }); d3.ease = function(name) { var i = name.indexOf("-"), t = i >= 0 ? name.substring(0, i) : name, m = i >= 0 ? name.substring(i + 1) : "in"; t = d3_ease.get(t) || d3_ease_default; m = d3_ease_mode.get(m) || d3_identity; - return d3_ease_clamp(m(t.apply(null, Array.prototype.slice.call(arguments, 1)))); + return d3_ease_clamp(m(t.apply(null, d3_arraySlice.call(arguments, 1)))); }; function d3_ease_clamp(f) { return function(t) { return t <= 0 ? 0 : t >= 1 ? 1 : f(t); }; @@ -5749,11 +5999,11 @@ d3.timer(force.tick); } return force; }; force.start = function() { - var i, j, n = nodes.length, m = links.length, w = size[0], h = size[1], neighbors, o; + var i, n = nodes.length, m = links.length, w = size[0], h = size[1], neighbors, o; for (i = 0; i < n; ++i) { (o = nodes[i]).index = i; o.weight = 0; } for (i = 0; i < m; ++i) { @@ -5775,27 +6025,24 @@ strengths = []; if (typeof linkStrength === "function") for (i = 0; i < m; ++i) strengths[i] = +linkStrength.call(this, links[i], i); else for (i = 0; i < m; ++i) strengths[i] = linkStrength; charges = []; if (typeof charge === "function") for (i = 0; i < n; ++i) charges[i] = +charge.call(this, nodes[i], i); else for (i = 0; i < n; ++i) charges[i] = charge; function position(dimension, size) { - var neighbors = neighbor(i), j = -1, m = neighbors.length, x; - while (++j < m) if (!isNaN(x = neighbors[j][dimension])) return x; - return Math.random() * size; - } - function neighbor() { if (!neighbors) { - neighbors = []; + neighbors = new Array(n); for (j = 0; j < n; ++j) { neighbors[j] = []; } for (j = 0; j < m; ++j) { var o = links[j]; neighbors[o.source.index].push(o.target); neighbors[o.target.index].push(o.source); } } - return neighbors[i]; + var candidates = neighbors[i], j = -1, m = candidates.length, x; + while (++j < m) if (!isNaN(x = candidates[j][dimension])) return x; + return Math.random() * size; } return force.resume(); }; force.resume = function() { return force.alpha(.1); @@ -7846,24 +8093,27 @@ delay: inherit.delay, duration: inherit.duration }; ++lock.count; d3.timer(function(elapsed) { - var d = node.__data__, ease = transition.ease, delay = transition.delay, duration = transition.duration, tweened = []; + var d = node.__data__, ease = transition.ease, delay = transition.delay, duration = transition.duration, timer = d3_timer_active, tweened = []; + timer.t = delay + time; if (delay <= elapsed) return start(elapsed - delay); - d3_timer_replace(start, delay, time); + timer.c = start; function start(elapsed) { if (lock.active > id) return stop(); lock.active = id; transition.event && transition.event.start.call(node, d, i); transition.tween.forEach(function(key, value) { if (value = value.call(node, d, i)) { tweened.push(value); } }); - if (tick(elapsed || 1)) return 1; - d3_timer_replace(tick, delay, time); + d3.timer(function() { + timer.c = tick(elapsed || 1) ? d3_true : tick; + return 1; + }, 0, time); } function tick(elapsed) { if (lock.active !== id) return stop(); var t = elapsed / duration, e = ease(t), n = tweened.length; while (n > 0) { @@ -8763,10 +9013,10 @@ var d3_time_amPmLookup = d3.map({ am: 0, pm: 1 }); function d3_time_zone(d) { - var z = d.getTimezoneOffset(), zs = z > 0 ? "-" : "+", zh = ~~(Math.abs(z) / 60), zm = Math.abs(z) % 60; + var z = d.getTimezoneOffset(), zs = z > 0 ? "-" : "+", zh = ~~(abs(z) / 60), zm = abs(z) % 60; return zs + d3_time_formatPad(zh, "0", 2) + d3_time_formatPad(zm, "0", 2); } function d3_time_parseLiteralPercent(date, string, i) { d3_time_percentRe.lastIndex = 0; var n = d3_time_percentRe.exec(string.substring(i, i + 1)); \ No newline at end of file