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PK[�\��s��src/cartesian.jsnu�[���import {asin, atan2, cos, sin, sqrt} from "./math"; export function spherical(cartesian) { return [atan2(cartesian[1], cartesian[0]), asin(cartesian[2])]; } export function cartesian(spherical) { var lambda = spherical[0], phi = spherical[1], cosPhi = cos(phi); return [cosPhi * cos(lambda), cosPhi * sin(lambda), sin(phi)]; } export function cartesianDot(a, b) { return a[0] * b[0] + a[1] * b[1] + a[2] * b[2]; } export function cartesianCross(a, b) { return [a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], a[0] * b[1] - a[1] * b[0]]; } // TODO return a export function cartesianAddInPlace(a, b) { a[0] += b[0], a[1] += b[1], a[2] += b[2]; } export function cartesianScale(vector, k) { return [vector[0] * k, vector[1] * k, vector[2] * k]; } // TODO return d export function cartesianNormalizeInPlace(d) { var l = sqrt(d[0] * d[0] + d[1] * d[1] + d[2] * d[2]); d[0] /= l, d[1] /= l, d[2] /= l; } PK[�\��z?CCsrc/graticule.jsnu�[���import {range} from "d3-array"; import {abs, ceil, epsilon} from "./math"; function graticuleX(y0, y1, dy) { var y = range(y0, y1 - epsilon, dy).concat(y1); return function(x) { return y.map(function(y) { return [x, y]; }); }; } function graticuleY(x0, x1, dx) { var x = range(x0, x1 - epsilon, dx).concat(x1); return function(y) { return x.map(function(x) { return [x, y]; }); }; } export default function graticule() { var x1, x0, X1, X0, y1, y0, Y1, Y0, dx = 10, dy = dx, DX = 90, DY = 360, x, y, X, Y, precision = 2.5; function graticule() { return {type: "MultiLineString", coordinates: lines()}; } function lines() { return range(ceil(X0 / DX) * DX, X1, DX).map(X) .concat(range(ceil(Y0 / DY) * DY, Y1, DY).map(Y)) .concat(range(ceil(x0 / dx) * dx, x1, dx).filter(function(x) { return abs(x % DX) > epsilon; }).map(x)) .concat(range(ceil(y0 / dy) * dy, y1, dy).filter(function(y) { return abs(y % DY) > epsilon; }).map(y)); } graticule.lines = function() { return lines().map(function(coordinates) { return {type: "LineString", coordinates: coordinates}; }); }; graticule.outline = function() { return { type: "Polygon", coordinates: [ X(X0).concat( Y(Y1).slice(1), X(X1).reverse().slice(1), Y(Y0).reverse().slice(1)) ] }; }; graticule.extent = function(_) { if (!arguments.length) return graticule.extentMinor(); return graticule.extentMajor(_).extentMinor(_); }; graticule.extentMajor = function(_) { if (!arguments.length) return [[X0, Y0], [X1, Y1]]; X0 = +_[0][0], X1 = +_[1][0]; Y0 = +_[0][1], Y1 = +_[1][1]; if (X0 > X1) _ = X0, X0 = X1, X1 = _; if (Y0 > Y1) _ = Y0, Y0 = Y1, Y1 = _; return graticule.precision(precision); }; graticule.extentMinor = function(_) { if (!arguments.length) return [[x0, y0], [x1, y1]]; x0 = +_[0][0], x1 = +_[1][0]; y0 = +_[0][1], y1 = +_[1][1]; if (x0 > x1) _ = x0, x0 = x1, x1 = _; if (y0 > y1) _ = y0, y0 = y1, y1 = _; return graticule.precision(precision); }; graticule.step = function(_) { if (!arguments.length) return graticule.stepMinor(); return graticule.stepMajor(_).stepMinor(_); }; graticule.stepMajor = function(_) { if (!arguments.length) return [DX, DY]; DX = +_[0], DY = +_[1]; return graticule; }; graticule.stepMinor = function(_) { if (!arguments.length) return [dx, dy]; dx = +_[0], dy = +_[1]; return graticule; }; graticule.precision = function(_) { if (!arguments.length) return precision; precision = +_; x = graticuleX(y0, y1, 90); y = graticuleY(x0, x1, precision); X = graticuleX(Y0, Y1, 90); Y = graticuleY(X0, X1, precision); return graticule; }; return graticule .extentMajor([[-180, -90 + epsilon], [180, 90 - epsilon]]) .extentMinor([[-180, -80 - epsilon], [180, 80 + epsilon]]); } export function graticule10() { return graticule()(); } PK[�\�R4)MMsrc/constant.jsnu�[���export default function(x) { return function() { return x; }; } PK[�\9�7� � src/circle.jsnu�[���import {cartesian, cartesianNormalizeInPlace, spherical} from "./cartesian"; import constant from "./constant"; import {acos, cos, degrees, epsilon, radians, sin, tau} from "./math"; import {rotateRadians} from "./rotation"; // Generates a circle centered at [0°, 0°], with a given radius and precision. export function circleStream(stream, radius, delta, direction, t0, t1) { if (!delta) return; var cosRadius = cos(radius), sinRadius = sin(radius), step = direction * delta; if (t0 == null) { t0 = radius + direction * tau; t1 = radius - step / 2; } else { t0 = circleRadius(cosRadius, t0); t1 = circleRadius(cosRadius, t1); if (direction > 0 ? t0 < t1 : t0 > t1) t0 += direction * tau; } for (var point, t = t0; direction > 0 ? t > t1 : t < t1; t -= step) { point = spherical([cosRadius, -sinRadius * cos(t), -sinRadius * sin(t)]); stream.point(point[0], point[1]); } } // Returns the signed angle of a cartesian point relative to [cosRadius, 0, 0]. function circleRadius(cosRadius, point) { point = cartesian(point), point[0] -= cosRadius; cartesianNormalizeInPlace(point); var radius = acos(-point[1]); return ((-point[2] < 0 ? -radius : radius) + tau - epsilon) % tau; } export default function() { var center = constant([0, 0]), radius = constant(90), precision = constant(6), ring, rotate, stream = {point: point}; function point(x, y) { ring.push(x = rotate(x, y)); x[0] *= degrees, x[1] *= degrees; } function circle() { var c = center.apply(this, arguments), r = radius.apply(this, arguments) * radians, p = precision.apply(this, arguments) * radians; ring = []; rotate = rotateRadians(-c[0] * radians, -c[1] * radians, 0).invert; circleStream(stream, r, p, 1); c = {type: "Polygon", coordinates: [ring]}; ring = rotate = null; return c; } circle.center = function(_) { return arguments.length ? (center = typeof _ === "function" ? _ : constant([+_[0], +_[1]]), circle) : center; }; circle.radius = function(_) { return arguments.length ? (radius = typeof _ === "function" ? _ : constant(+_), circle) : radius; }; circle.precision = function(_) { return arguments.length ? (precision = typeof _ === "function" ? _ : constant(+_), circle) : precision; }; return circle; } PK[�\ŕ� src/rotation.jsnu�[���import compose from "./compose"; import {asin, atan2, cos, degrees, pi, radians, sin, tau} from "./math"; function rotationIdentity(lambda, phi) { return [lambda > pi ? lambda - tau : lambda < -pi ? lambda + tau : lambda, phi]; } rotationIdentity.invert = rotationIdentity; export function rotateRadians(deltaLambda, deltaPhi, deltaGamma) { return (deltaLambda %= tau) ? (deltaPhi || deltaGamma ? compose(rotationLambda(deltaLambda), rotationPhiGamma(deltaPhi, deltaGamma)) : rotationLambda(deltaLambda)) : (deltaPhi || deltaGamma ? rotationPhiGamma(deltaPhi, deltaGamma) : rotationIdentity); } function forwardRotationLambda(deltaLambda) { return function(lambda, phi) { return lambda += deltaLambda, [lambda > pi ? lambda - tau : lambda < -pi ? lambda + tau : lambda, phi]; }; } function rotationLambda(deltaLambda) { var rotation = forwardRotationLambda(deltaLambda); rotation.invert = forwardRotationLambda(-deltaLambda); return rotation; } function rotationPhiGamma(deltaPhi, deltaGamma) { var cosDeltaPhi = cos(deltaPhi), sinDeltaPhi = sin(deltaPhi), cosDeltaGamma = cos(deltaGamma), sinDeltaGamma = sin(deltaGamma); function rotation(lambda, phi) { var cosPhi = cos(phi), x = cos(lambda) * cosPhi, y = sin(lambda) * cosPhi, z = sin(phi), k = z * cosDeltaPhi + x * sinDeltaPhi; return [ atan2(y * cosDeltaGamma - k * sinDeltaGamma, x * cosDeltaPhi - z * sinDeltaPhi), asin(k * cosDeltaGamma + y * sinDeltaGamma) ]; } rotation.invert = function(lambda, phi) { var cosPhi = cos(phi), x = cos(lambda) * cosPhi, y = sin(lambda) * cosPhi, z = sin(phi), k = z * cosDeltaGamma - y * sinDeltaGamma; return [ atan2(y * cosDeltaGamma + z * sinDeltaGamma, x * cosDeltaPhi + k * sinDeltaPhi), asin(k * cosDeltaPhi - x * sinDeltaPhi) ]; }; return rotation; } export default function(rotate) { rotate = rotateRadians(rotate[0] * radians, rotate[1] * radians, rotate.length > 2 ? rotate[2] * radians : 0); function forward(coordinates) { coordinates = rotate(coordinates[0] * radians, coordinates[1] * radians); return coordinates[0] *= degrees, coordinates[1] *= degrees, coordinates; } forward.invert = function(coordinates) { coordinates = rotate.invert(coordinates[0] * radians, coordinates[1] * radians); return coordinates[0] *= degrees, coordinates[1] *= degrees, coordinates; }; return forward; } PK[�\N�`�� src/bounds.jsnu�[���import adder from "./adder"; import {areaStream, areaRingSum} from "./area"; import {cartesian, cartesianCross, cartesianNormalizeInPlace, spherical} from "./cartesian"; import {abs, degrees, epsilon, radians} from "./math"; import stream from "./stream"; var lambda0, phi0, lambda1, phi1, // bounds lambda2, // previous lambda-coordinate lambda00, phi00, // first point p0, // previous 3D point deltaSum = adder(), ranges, range; var boundsStream = { point: boundsPoint, lineStart: boundsLineStart, lineEnd: boundsLineEnd, polygonStart: function() { boundsStream.point = boundsRingPoint; boundsStream.lineStart = boundsRingStart; boundsStream.lineEnd = boundsRingEnd; deltaSum.reset(); areaStream.polygonStart(); }, polygonEnd: function() { areaStream.polygonEnd(); boundsStream.point = boundsPoint; boundsStream.lineStart = boundsLineStart; boundsStream.lineEnd = boundsLineEnd; if (areaRingSum < 0) lambda0 = -(lambda1 = 180), phi0 = -(phi1 = 90); else if (deltaSum > epsilon) phi1 = 90; else if (deltaSum < -epsilon) phi0 = -90; range[0] = lambda0, range[1] = lambda1; } }; function boundsPoint(lambda, phi) { ranges.push(range = [lambda0 = lambda, lambda1 = lambda]); if (phi < phi0) phi0 = phi; if (phi > phi1) phi1 = phi; } function linePoint(lambda, phi) { var p = cartesian([lambda * radians, phi * radians]); if (p0) { var normal = cartesianCross(p0, p), equatorial = [normal[1], -normal[0], 0], inflection = cartesianCross(equatorial, normal); cartesianNormalizeInPlace(inflection); inflection = spherical(inflection); var delta = lambda - lambda2, sign = delta > 0 ? 1 : -1, lambdai = inflection[0] * degrees * sign, phii, antimeridian = abs(delta) > 180; if (antimeridian ^ (sign * lambda2 < lambdai && lambdai < sign * lambda)) { phii = inflection[1] * degrees; if (phii > phi1) phi1 = phii; } else if (lambdai = (lambdai + 360) % 360 - 180, antimeridian ^ (sign * lambda2 < lambdai && lambdai < sign * lambda)) { phii = -inflection[1] * degrees; if (phii < phi0) phi0 = phii; } else { if (phi < phi0) phi0 = phi; if (phi > phi1) phi1 = phi; } if (antimeridian) { if (lambda < lambda2) { if (angle(lambda0, lambda) > angle(lambda0, lambda1)) lambda1 = lambda; } else { if (angle(lambda, lambda1) > angle(lambda0, lambda1)) lambda0 = lambda; } } else { if (lambda1 >= lambda0) { if (lambda < lambda0) lambda0 = lambda; if (lambda > lambda1) lambda1 = lambda; } else { if (lambda > lambda2) { if (angle(lambda0, lambda) > angle(lambda0, lambda1)) lambda1 = lambda; } else { if (angle(lambda, lambda1) > angle(lambda0, lambda1)) lambda0 = lambda; } } } } else { ranges.push(range = [lambda0 = lambda, lambda1 = lambda]); } if (phi < phi0) phi0 = phi; if (phi > phi1) phi1 = phi; p0 = p, lambda2 = lambda; } function boundsLineStart() { boundsStream.point = linePoint; } function boundsLineEnd() { range[0] = lambda0, range[1] = lambda1; boundsStream.point = boundsPoint; p0 = null; } function boundsRingPoint(lambda, phi) { if (p0) { var delta = lambda - lambda2; deltaSum.add(abs(delta) > 180 ? delta + (delta > 0 ? 360 : -360) : delta); } else { lambda00 = lambda, phi00 = phi; } areaStream.point(lambda, phi); linePoint(lambda, phi); } function boundsRingStart() { areaStream.lineStart(); } function boundsRingEnd() { boundsRingPoint(lambda00, phi00); areaStream.lineEnd(); if (abs(deltaSum) > epsilon) lambda0 = -(lambda1 = 180); range[0] = lambda0, range[1] = lambda1; p0 = null; } // Finds the left-right distance between two longitudes. // This is almost the same as (lambda1 - lambda0 + 360°) % 360°, except that we want // the distance between ±180° to be 360°. function angle(lambda0, lambda1) { return (lambda1 -= lambda0) < 0 ? lambda1 + 360 : lambda1; } function rangeCompare(a, b) { return a[0] - b[0]; } function rangeContains(range, x) { return range[0] <= range[1] ? range[0] <= x && x <= range[1] : x < range[0] || range[1] < x; } export default function(feature) { var i, n, a, b, merged, deltaMax, delta; phi1 = lambda1 = -(lambda0 = phi0 = Infinity); ranges = []; stream(feature, boundsStream); // First, sort ranges by their minimum longitudes. if (n = ranges.length) { ranges.sort(rangeCompare); // Then, merge any ranges that overlap. for (i = 1, a = ranges[0], merged = [a]; i < n; ++i) { b = ranges[i]; if (rangeContains(a, b[0]) || rangeContains(a, b[1])) { if (angle(a[0], b[1]) > angle(a[0], a[1])) a[1] = b[1]; if (angle(b[0], a[1]) > angle(a[0], a[1])) a[0] = b[0]; } else { merged.push(a = b); } } // Finally, find the largest gap between the merged ranges. // The final bounding box will be the inverse of this gap. for (deltaMax = -Infinity, n = merged.length - 1, i = 0, a = merged[n]; i <= n; a = b, ++i) { b = merged[i]; if ((delta = angle(a[1], b[0])) > deltaMax) deltaMax = delta, lambda0 = b[0], lambda1 = a[1]; } } ranges = range = null; return lambda0 === Infinity || phi0 === Infinity ? [[NaN, NaN], [NaN, NaN]] : [[lambda0, phi0], [lambda1, phi1]]; } PK[�\?����src/transform.jsnu�[���export default function(methods) { return { stream: transformer(methods) }; } export function transformer(methods) { return function(stream) { var s = new TransformStream; for (var key in methods) s[key] = methods[key]; s.stream = stream; return s; }; } function TransformStream() {} TransformStream.prototype = { constructor: TransformStream, point: function(x, y) { this.stream.point(x, y); }, sphere: function() { this.stream.sphere(); }, lineStart: function() { this.stream.lineStart(); }, lineEnd: function() { this.stream.lineEnd(); }, polygonStart: function() { this.stream.polygonStart(); }, polygonEnd: function() { this.stream.polygonEnd(); } }; PK[�\����src/path/bounds.jsnu�[���import noop from "../noop"; var x0 = Infinity, y0 = x0, x1 = -x0, y1 = x1; var boundsStream = { point: boundsPoint, lineStart: noop, lineEnd: noop, polygonStart: noop, polygonEnd: noop, result: function() { var bounds = [[x0, y0], [x1, y1]]; x1 = y1 = -(y0 = x0 = Infinity); return bounds; } }; function boundsPoint(x, y) { if (x < x0) x0 = x; if (x > x1) x1 = x; if (y < y0) y0 = y; if (y > y1) y1 = y; } export default boundsStream; PK[�\�Htqqsrc/path/measure.jsnu�[���import adder from "../adder"; import {sqrt} from "../math"; import noop from "../noop"; var lengthSum = adder(), lengthRing, x00, y00, x0, y0; var lengthStream = { point: noop, lineStart: function() { lengthStream.point = lengthPointFirst; }, lineEnd: function() { if (lengthRing) lengthPoint(x00, y00); lengthStream.point = noop; }, polygonStart: function() { lengthRing = true; }, polygonEnd: function() { lengthRing = null; }, result: function() { var length = +lengthSum; lengthSum.reset(); return length; } }; function lengthPointFirst(x, y) { lengthStream.point = lengthPoint; x00 = x0 = x, y00 = y0 = y; } function lengthPoint(x, y) { x0 -= x, y0 -= y; lengthSum.add(sqrt(x0 * x0 + y0 * y0)); x0 = x, y0 = y; } export default lengthStream; PK[�\R}�zzsrc/path/index.jsnu�[���import identity from "../identity"; import stream from "../stream"; import pathArea from "./area"; import pathBounds from "./bounds"; import pathCentroid from "./centroid"; import PathContext from "./context"; import pathMeasure from "./measure"; import PathString from "./string"; export default function(projection, context) { var pointRadius = 4.5, projectionStream, contextStream; function path(object) { if (object) { if (typeof pointRadius === "function") contextStream.pointRadius(+pointRadius.apply(this, arguments)); stream(object, projectionStream(contextStream)); } return contextStream.result(); } path.area = function(object) { stream(object, projectionStream(pathArea)); return pathArea.result(); }; path.measure = function(object) { stream(object, projectionStream(pathMeasure)); return pathMeasure.result(); }; path.bounds = function(object) { stream(object, projectionStream(pathBounds)); return pathBounds.result(); }; path.centroid = function(object) { stream(object, projectionStream(pathCentroid)); return pathCentroid.result(); }; path.projection = function(_) { return arguments.length ? (projectionStream = _ == null ? (projection = null, identity) : (projection = _).stream, path) : projection; }; path.context = function(_) { if (!arguments.length) return context; contextStream = _ == null ? (context = null, new PathString) : new PathContext(context = _); if (typeof pointRadius !== "function") contextStream.pointRadius(pointRadius); return path; }; path.pointRadius = function(_) { if (!arguments.length) return pointRadius; pointRadius = typeof _ === "function" ? _ : (contextStream.pointRadius(+_), +_); return path; }; return path.projection(projection).context(context); } PK[�\��H��src/path/area.jsnu�[���import adder from "../adder"; import {abs} from "../math"; import noop from "../noop"; var areaSum = adder(), areaRingSum = adder(), x00, y00, x0, y0; var areaStream = { point: noop, lineStart: noop, lineEnd: noop, polygonStart: function() { areaStream.lineStart = areaRingStart; areaStream.lineEnd = areaRingEnd; }, polygonEnd: function() { areaStream.lineStart = areaStream.lineEnd = areaStream.point = noop; areaSum.add(abs(areaRingSum)); areaRingSum.reset(); }, result: function() { var area = areaSum / 2; areaSum.reset(); return area; } }; function areaRingStart() { areaStream.point = areaPointFirst; } function areaPointFirst(x, y) { areaStream.point = areaPoint; x00 = x0 = x, y00 = y0 = y; } function areaPoint(x, y) { areaRingSum.add(y0 * x - x0 * y); x0 = x, y0 = y; } function areaRingEnd() { areaPoint(x00, y00); } export default areaStream; PK[�\-�UUsrc/path/centroid.jsnu�[���import {sqrt} from "../math"; // TODO Enforce positive area for exterior, negative area for interior? var X0 = 0, Y0 = 0, Z0 = 0, X1 = 0, Y1 = 0, Z1 = 0, X2 = 0, Y2 = 0, Z2 = 0, x00, y00, x0, y0; var centroidStream = { point: centroidPoint, lineStart: centroidLineStart, lineEnd: centroidLineEnd, polygonStart: function() { centroidStream.lineStart = centroidRingStart; centroidStream.lineEnd = centroidRingEnd; }, polygonEnd: function() { centroidStream.point = centroidPoint; centroidStream.lineStart = centroidLineStart; centroidStream.lineEnd = centroidLineEnd; }, result: function() { var centroid = Z2 ? [X2 / Z2, Y2 / Z2] : Z1 ? [X1 / Z1, Y1 / Z1] : Z0 ? [X0 / Z0, Y0 / Z0] : [NaN, NaN]; X0 = Y0 = Z0 = X1 = Y1 = Z1 = X2 = Y2 = Z2 = 0; return centroid; } }; function centroidPoint(x, y) { X0 += x; Y0 += y; ++Z0; } function centroidLineStart() { centroidStream.point = centroidPointFirstLine; } function centroidPointFirstLine(x, y) { centroidStream.point = centroidPointLine; centroidPoint(x0 = x, y0 = y); } function centroidPointLine(x, y) { var dx = x - x0, dy = y - y0, z = sqrt(dx * dx + dy * dy); X1 += z * (x0 + x) / 2; Y1 += z * (y0 + y) / 2; Z1 += z; centroidPoint(x0 = x, y0 = y); } function centroidLineEnd() { centroidStream.point = centroidPoint; } function centroidRingStart() { centroidStream.point = centroidPointFirstRing; } function centroidRingEnd() { centroidPointRing(x00, y00); } function centroidPointFirstRing(x, y) { centroidStream.point = centroidPointRing; centroidPoint(x00 = x0 = x, y00 = y0 = y); } function centroidPointRing(x, y) { var dx = x - x0, dy = y - y0, z = sqrt(dx * dx + dy * dy); X1 += z * (x0 + x) / 2; Y1 += z * (y0 + y) / 2; Z1 += z; z = y0 * x - x0 * y; X2 += z * (x0 + x); Y2 += z * (y0 + y); Z2 += z * 3; centroidPoint(x0 = x, y0 = y); } export default centroidStream; PK[�\`6 �__src/path/string.jsnu�[���export default function PathString() { this._string = []; } PathString.prototype = { _radius: 4.5, _circle: circle(4.5), pointRadius: function(_) { if ((_ = +_) !== this._radius) this._radius = _, this._circle = null; return this; }, polygonStart: function() { this._line = 0; }, polygonEnd: function() { this._line = NaN; }, lineStart: function() { this._point = 0; }, lineEnd: function() { if (this._line === 0) this._string.push("Z"); this._point = NaN; }, point: function(x, y) { switch (this._point) { case 0: { this._string.push("M", x, ",", y); this._point = 1; break; } case 1: { this._string.push("L", x, ",", y); break; } default: { if (this._circle == null) this._circle = circle(this._radius); this._string.push("M", x, ",", y, this._circle); break; } } }, result: function() { if (this._string.length) { var result = this._string.join(""); this._string = []; return result; } else { return null; } } }; function circle(radius) { return "m0," + radius + "a" + radius + "," + radius + " 0 1,1 0," + -2 * radius + "a" + radius + "," + radius + " 0 1,1 0," + 2 * radius + "z"; } PK[�\��v��src/path/context.jsnu�[���import {tau} from "../math"; import noop from "../noop"; export default function PathContext(context) { this._context = context; } PathContext.prototype = { _radius: 4.5, pointRadius: function(_) { return this._radius = _, this; }, polygonStart: function() { this._line = 0; }, polygonEnd: function() { this._line = NaN; }, lineStart: function() { this._point = 0; }, lineEnd: function() { if (this._line === 0) this._context.closePath(); this._point = NaN; }, point: function(x, y) { switch (this._point) { case 0: { this._context.moveTo(x, y); this._point = 1; break; } case 1: { this._context.lineTo(x, y); break; } default: { this._context.moveTo(x + this._radius, y); this._context.arc(x, y, this._radius, 0, tau); break; } } }, result: noop }; PK[�\��nO� � src/index.jsnu�[���export {default as geoArea} from "./area"; export {default as geoBounds} from "./bounds"; export {default as geoCentroid} from "./centroid"; export {default as geoCircle} from "./circle"; export {default as geoClipAntimeridian} from "./clip/antimeridian"; export {default as geoClipCircle} from "./clip/circle"; export {default as geoClipExtent} from "./clip/extent"; // DEPRECATED! Use d3.geoIdentity().clipExtent(…). export {default as geoClipRectangle} from "./clip/rectangle"; export {default as geoContains} from "./contains"; export {default as geoDistance} from "./distance"; export {default as geoGraticule, graticule10 as geoGraticule10} from "./graticule"; export {default as geoInterpolate} from "./interpolate"; export {default as geoLength} from "./length"; export {default as geoPath} from "./path/index"; export {default as geoAlbers} from "./projection/albers"; export {default as geoAlbersUsa} from "./projection/albersUsa"; export {default as geoAzimuthalEqualArea, azimuthalEqualAreaRaw as geoAzimuthalEqualAreaRaw} from "./projection/azimuthalEqualArea"; export {default as geoAzimuthalEquidistant, azimuthalEquidistantRaw as geoAzimuthalEquidistantRaw} from "./projection/azimuthalEquidistant"; export {default as geoConicConformal, conicConformalRaw as geoConicConformalRaw} from "./projection/conicConformal"; export {default as geoConicEqualArea, conicEqualAreaRaw as geoConicEqualAreaRaw} from "./projection/conicEqualArea"; export {default as geoConicEquidistant, conicEquidistantRaw as geoConicEquidistantRaw} from "./projection/conicEquidistant"; export {default as geoEqualEarth, equalEarthRaw as geoEqualEarthRaw} from "./projection/equalEarth"; export {default as geoEquirectangular, equirectangularRaw as geoEquirectangularRaw} from "./projection/equirectangular"; export {default as geoGnomonic, gnomonicRaw as geoGnomonicRaw} from "./projection/gnomonic"; export {default as geoIdentity} from "./projection/identity"; export {default as geoProjection, projectionMutator as geoProjectionMutator} from "./projection/index"; export {default as geoMercator, mercatorRaw as geoMercatorRaw} from "./projection/mercator"; export {default as geoNaturalEarth1, naturalEarth1Raw as geoNaturalEarth1Raw} from "./projection/naturalEarth1"; export {default as geoOrthographic, orthographicRaw as geoOrthographicRaw} from "./projection/orthographic"; export {default as geoStereographic, stereographicRaw as geoStereographicRaw} from "./projection/stereographic"; export {default as geoTransverseMercator, transverseMercatorRaw as geoTransverseMercatorRaw} from "./projection/transverseMercator"; export {default as geoRotation} from "./rotation"; export {default as geoStream} from "./stream"; export {default as geoTransform} from "./transform"; PK[�\b�M��src/area.jsnu�[���import adder from "./adder"; import {atan2, cos, quarterPi, radians, sin, tau} from "./math"; import noop from "./noop"; import stream from "./stream"; export var areaRingSum = adder(); var areaSum = adder(), lambda00, phi00, lambda0, cosPhi0, sinPhi0; export var areaStream = { point: noop, lineStart: noop, lineEnd: noop, polygonStart: function() { areaRingSum.reset(); areaStream.lineStart = areaRingStart; areaStream.lineEnd = areaRingEnd; }, polygonEnd: function() { var areaRing = +areaRingSum; areaSum.add(areaRing < 0 ? tau + areaRing : areaRing); this.lineStart = this.lineEnd = this.point = noop; }, sphere: function() { areaSum.add(tau); } }; function areaRingStart() { areaStream.point = areaPointFirst; } function areaRingEnd() { areaPoint(lambda00, phi00); } function areaPointFirst(lambda, phi) { areaStream.point = areaPoint; lambda00 = lambda, phi00 = phi; lambda *= radians, phi *= radians; lambda0 = lambda, cosPhi0 = cos(phi = phi / 2 + quarterPi), sinPhi0 = sin(phi); } function areaPoint(lambda, phi) { lambda *= radians, phi *= radians; phi = phi / 2 + quarterPi; // half the angular distance from south pole // Spherical excess E for a spherical triangle with vertices: south pole, // previous point, current point. Uses a formula derived from Cagnoli’s // theorem. See Todhunter, Spherical Trig. (1871), Sec. 103, Eq. (2). var dLambda = lambda - lambda0, sdLambda = dLambda >= 0 ? 1 : -1, adLambda = sdLambda * dLambda, cosPhi = cos(phi), sinPhi = sin(phi), k = sinPhi0 * sinPhi, u = cosPhi0 * cosPhi + k * cos(adLambda), v = k * sdLambda * sin(adLambda); areaRingSum.add(atan2(v, u)); // Advance the previous points. lambda0 = lambda, cosPhi0 = cosPhi, sinPhi0 = sinPhi; } export default function(object) { areaSum.reset(); stream(object, areaStream); return areaSum * 2; } PK[�\R�KsSSsrc/centroid.jsnu�[���import {asin, atan2, cos, degrees, epsilon, epsilon2, radians, sin, sqrt} from "./math"; import noop from "./noop"; import stream from "./stream"; var W0, W1, X0, Y0, Z0, X1, Y1, Z1, X2, Y2, Z2, lambda00, phi00, // first point x0, y0, z0; // previous point var centroidStream = { sphere: noop, point: centroidPoint, lineStart: centroidLineStart, lineEnd: centroidLineEnd, polygonStart: function() { centroidStream.lineStart = centroidRingStart; centroidStream.lineEnd = centroidRingEnd; }, polygonEnd: function() { centroidStream.lineStart = centroidLineStart; centroidStream.lineEnd = centroidLineEnd; } }; // Arithmetic mean of Cartesian vectors. function centroidPoint(lambda, phi) { lambda *= radians, phi *= radians; var cosPhi = cos(phi); centroidPointCartesian(cosPhi * cos(lambda), cosPhi * sin(lambda), sin(phi)); } function centroidPointCartesian(x, y, z) { ++W0; X0 += (x - X0) / W0; Y0 += (y - Y0) / W0; Z0 += (z - Z0) / W0; } function centroidLineStart() { centroidStream.point = centroidLinePointFirst; } function centroidLinePointFirst(lambda, phi) { lambda *= radians, phi *= radians; var cosPhi = cos(phi); x0 = cosPhi * cos(lambda); y0 = cosPhi * sin(lambda); z0 = sin(phi); centroidStream.point = centroidLinePoint; centroidPointCartesian(x0, y0, z0); } function centroidLinePoint(lambda, phi) { lambda *= radians, phi *= radians; var cosPhi = cos(phi), x = cosPhi * cos(lambda), y = cosPhi * sin(lambda), z = sin(phi), w = atan2(sqrt((w = y0 * z - z0 * y) * w + (w = z0 * x - x0 * z) * w + (w = x0 * y - y0 * x) * w), x0 * x + y0 * y + z0 * z); W1 += w; X1 += w * (x0 + (x0 = x)); Y1 += w * (y0 + (y0 = y)); Z1 += w * (z0 + (z0 = z)); centroidPointCartesian(x0, y0, z0); } function centroidLineEnd() { centroidStream.point = centroidPoint; } // See J. E. Brock, The Inertia Tensor for a Spherical Triangle, // J. Applied Mechanics 42, 239 (1975). function centroidRingStart() { centroidStream.point = centroidRingPointFirst; } function centroidRingEnd() { centroidRingPoint(lambda00, phi00); centroidStream.point = centroidPoint; } function centroidRingPointFirst(lambda, phi) { lambda00 = lambda, phi00 = phi; lambda *= radians, phi *= radians; centroidStream.point = centroidRingPoint; var cosPhi = cos(phi); x0 = cosPhi * cos(lambda); y0 = cosPhi * sin(lambda); z0 = sin(phi); centroidPointCartesian(x0, y0, z0); } function centroidRingPoint(lambda, phi) { lambda *= radians, phi *= radians; var cosPhi = cos(phi), x = cosPhi * cos(lambda), y = cosPhi * sin(lambda), z = sin(phi), cx = y0 * z - z0 * y, cy = z0 * x - x0 * z, cz = x0 * y - y0 * x, m = sqrt(cx * cx + cy * cy + cz * cz), w = asin(m), // line weight = angle v = m && -w / m; // area weight multiplier X2 += v * cx; Y2 += v * cy; Z2 += v * cz; W1 += w; X1 += w * (x0 + (x0 = x)); Y1 += w * (y0 + (y0 = y)); Z1 += w * (z0 + (z0 = z)); centroidPointCartesian(x0, y0, z0); } export default function(object) { W0 = W1 = X0 = Y0 = Z0 = X1 = Y1 = Z1 = X2 = Y2 = Z2 = 0; stream(object, centroidStream); var x = X2, y = Y2, z = Z2, m = x * x + y * y + z * z; // If the area-weighted ccentroid is undefined, fall back to length-weighted ccentroid. if (m < epsilon2) { x = X1, y = Y1, z = Z1; // If the feature has zero length, fall back to arithmetic mean of point vectors. if (W1 < epsilon) x = X0, y = Y0, z = Z0; m = x * x + y * y + z * z; // If the feature still has an undefined ccentroid, then return. if (m < epsilon2) return [NaN, NaN]; } return [atan2(y, x) * degrees, asin(z / sqrt(m)) * degrees]; } PK[�\�����src/math.jsnu�[���export var epsilon = 1e-6; export var epsilon2 = 1e-12; export var pi = Math.PI; export var halfPi = pi / 2; export var quarterPi = pi / 4; export var tau = pi * 2; export var degrees = 180 / pi; export var radians = pi / 180; export var abs = Math.abs; export var atan = Math.atan; export var atan2 = Math.atan2; export var cos = Math.cos; export var ceil = Math.ceil; export var exp = Math.exp; export var floor = Math.floor; export var log = Math.log; export var pow = Math.pow; export var sin = Math.sin; export var sign = Math.sign || function(x) { return x > 0 ? 1 : x < 0 ? -1 : 0; }; export var sqrt = Math.sqrt; export var tan = Math.tan; export function acos(x) { return x > 1 ? 0 : x < -1 ? pi : Math.acos(x); } export function asin(x) { return x > 1 ? halfPi : x < -1 ? -halfPi : Math.asin(x); } export function haversin(x) { return (x = sin(x / 2)) * x; } PK[�\�GRR src/length.jsnu�[���import adder from "./adder"; import {abs, atan2, cos, radians, sin, sqrt} from "./math"; import noop from "./noop"; import stream from "./stream"; var lengthSum = adder(), lambda0, sinPhi0, cosPhi0; var lengthStream = { sphere: noop, point: noop, lineStart: lengthLineStart, lineEnd: noop, polygonStart: noop, polygonEnd: noop }; function lengthLineStart() { lengthStream.point = lengthPointFirst; lengthStream.lineEnd = lengthLineEnd; } function lengthLineEnd() { lengthStream.point = lengthStream.lineEnd = noop; } function lengthPointFirst(lambda, phi) { lambda *= radians, phi *= radians; lambda0 = lambda, sinPhi0 = sin(phi), cosPhi0 = cos(phi); lengthStream.point = lengthPoint; } function lengthPoint(lambda, phi) { lambda *= radians, phi *= radians; var sinPhi = sin(phi), cosPhi = cos(phi), delta = abs(lambda - lambda0), cosDelta = cos(delta), sinDelta = sin(delta), x = cosPhi * sinDelta, y = cosPhi0 * sinPhi - sinPhi0 * cosPhi * cosDelta, z = sinPhi0 * sinPhi + cosPhi0 * cosPhi * cosDelta; lengthSum.add(atan2(sqrt(x * x + y * y), z)); lambda0 = lambda, sinPhi0 = sinPhi, cosPhi0 = cosPhi; } export default function(object) { lengthSum.reset(); stream(object, lengthStream); return +lengthSum; } PK[�\o��WWsrc/clip/rejoin.jsnu�[���import pointEqual from "../pointEqual"; function Intersection(point, points, other, entry) { this.x = point; this.z = points; this.o = other; // another intersection this.e = entry; // is an entry? this.v = false; // visited this.n = this.p = null; // next & previous } // A generalized polygon clipping algorithm: given a polygon that has been cut // into its visible line segments, and rejoins the segments by interpolating // along the clip edge. export default function(segments, compareIntersection, startInside, interpolate, stream) { var subject = [], clip = [], i, n; segments.forEach(function(segment) { if ((n = segment.length - 1) <= 0) return; var n, p0 = segment[0], p1 = segment[n], x; // If the first and last points of a segment are coincident, then treat as a // closed ring. TODO if all rings are closed, then the winding order of the // exterior ring should be checked. if (pointEqual(p0, p1)) { stream.lineStart(); for (i = 0; i < n; ++i) stream.point((p0 = segment[i])[0], p0[1]); stream.lineEnd(); return; } subject.push(x = new Intersection(p0, segment, null, true)); clip.push(x.o = new Intersection(p0, null, x, false)); subject.push(x = new Intersection(p1, segment, null, false)); clip.push(x.o = new Intersection(p1, null, x, true)); }); if (!subject.length) return; clip.sort(compareIntersection); link(subject); link(clip); for (i = 0, n = clip.length; i < n; ++i) { clip[i].e = startInside = !startInside; } var start = subject[0], points, point; while (1) { // Find first unvisited intersection. var current = start, isSubject = true; while (current.v) if ((current = current.n) === start) return; points = current.z; stream.lineStart(); do { current.v = current.o.v = true; if (current.e) { if (isSubject) { for (i = 0, n = points.length; i < n; ++i) stream.point((point = points[i])[0], point[1]); } else { interpolate(current.x, current.n.x, 1, stream); } current = current.n; } else { if (isSubject) { points = current.p.z; for (i = points.length - 1; i >= 0; --i) stream.point((point = points[i])[0], point[1]); } else { interpolate(current.x, current.p.x, -1, stream); } current = current.p; } current = current.o; points = current.z; isSubject = !isSubject; } while (!current.v); stream.lineEnd(); } } function link(array) { if (!(n = array.length)) return; var n, i = 0, a = array[0], b; while (++i < n) { a.n = b = array[i]; b.p = a; a = b; } a.n = b = array[0]; b.p = a; } PK[�\+u��src/clip/antimeridian.jsnu�[���import clip from "./index"; import {abs, atan, cos, epsilon, halfPi, pi, sin} from "../math"; export default clip( function() { return true; }, clipAntimeridianLine, clipAntimeridianInterpolate, [-pi, -halfPi] ); // Takes a line and cuts into visible segments. Return values: 0 - there were // intersections or the line was empty; 1 - no intersections; 2 - there were // intersections, and the first and last segments should be rejoined. function clipAntimeridianLine(stream) { var lambda0 = NaN, phi0 = NaN, sign0 = NaN, clean; // no intersections return { lineStart: function() { stream.lineStart(); clean = 1; }, point: function(lambda1, phi1) { var sign1 = lambda1 > 0 ? pi : -pi, delta = abs(lambda1 - lambda0); if (abs(delta - pi) < epsilon) { // line crosses a pole stream.point(lambda0, phi0 = (phi0 + phi1) / 2 > 0 ? halfPi : -halfPi); stream.point(sign0, phi0); stream.lineEnd(); stream.lineStart(); stream.point(sign1, phi0); stream.point(lambda1, phi0); clean = 0; } else if (sign0 !== sign1 && delta >= pi) { // line crosses antimeridian if (abs(lambda0 - sign0) < epsilon) lambda0 -= sign0 * epsilon; // handle degeneracies if (abs(lambda1 - sign1) < epsilon) lambda1 -= sign1 * epsilon; phi0 = clipAntimeridianIntersect(lambda0, phi0, lambda1, phi1); stream.point(sign0, phi0); stream.lineEnd(); stream.lineStart(); stream.point(sign1, phi0); clean = 0; } stream.point(lambda0 = lambda1, phi0 = phi1); sign0 = sign1; }, lineEnd: function() { stream.lineEnd(); lambda0 = phi0 = NaN; }, clean: function() { return 2 - clean; // if intersections, rejoin first and last segments } }; } function clipAntimeridianIntersect(lambda0, phi0, lambda1, phi1) { var cosPhi0, cosPhi1, sinLambda0Lambda1 = sin(lambda0 - lambda1); return abs(sinLambda0Lambda1) > epsilon ? atan((sin(phi0) * (cosPhi1 = cos(phi1)) * sin(lambda1) - sin(phi1) * (cosPhi0 = cos(phi0)) * sin(lambda0)) / (cosPhi0 * cosPhi1 * sinLambda0Lambda1)) : (phi0 + phi1) / 2; } function clipAntimeridianInterpolate(from, to, direction, stream) { var phi; if (from == null) { phi = direction * halfPi; stream.point(-pi, phi); stream.point(0, phi); stream.point(pi, phi); stream.point(pi, 0); stream.point(pi, -phi); stream.point(0, -phi); stream.point(-pi, -phi); stream.point(-pi, 0); stream.point(-pi, phi); } else if (abs(from[0] - to[0]) > epsilon) { var lambda = from[0] < to[0] ? pi : -pi; phi = direction * lambda / 2; stream.point(-lambda, phi); stream.point(0, phi); stream.point(lambda, phi); } else { stream.point(to[0], to[1]); } } PK[�\��C�""src/clip/circle.jsnu�[���import {cartesian, cartesianAddInPlace, cartesianCross, cartesianDot, cartesianScale, spherical} from "../cartesian"; import {circleStream} from "../circle"; import {abs, cos, epsilon, pi, radians, sqrt} from "../math"; import pointEqual from "../pointEqual"; import clip from "./index"; export default function(radius) { var cr = cos(radius), delta = 6 * radians, smallRadius = cr > 0, notHemisphere = abs(cr) > epsilon; // TODO optimise for this common case function interpolate(from, to, direction, stream) { circleStream(stream, radius, delta, direction, from, to); } function visible(lambda, phi) { return cos(lambda) * cos(phi) > cr; } // Takes a line and cuts into visible segments. Return values used for polygon // clipping: 0 - there were intersections or the line was empty; 1 - no // intersections 2 - there were intersections, and the first and last segments // should be rejoined. function clipLine(stream) { var point0, // previous point c0, // code for previous point v0, // visibility of previous point v00, // visibility of first point clean; // no intersections return { lineStart: function() { v00 = v0 = false; clean = 1; }, point: function(lambda, phi) { var point1 = [lambda, phi], point2, v = visible(lambda, phi), c = smallRadius ? v ? 0 : code(lambda, phi) : v ? code(lambda + (lambda < 0 ? pi : -pi), phi) : 0; if (!point0 && (v00 = v0 = v)) stream.lineStart(); // Handle degeneracies. // TODO ignore if not clipping polygons. if (v !== v0) { point2 = intersect(point0, point1); if (!point2 || pointEqual(point0, point2) || pointEqual(point1, point2)) { point1[0] += epsilon; point1[1] += epsilon; v = visible(point1[0], point1[1]); } } if (v !== v0) { clean = 0; if (v) { // outside going in stream.lineStart(); point2 = intersect(point1, point0); stream.point(point2[0], point2[1]); } else { // inside going out point2 = intersect(point0, point1); stream.point(point2[0], point2[1]); stream.lineEnd(); } point0 = point2; } else if (notHemisphere && point0 && smallRadius ^ v) { var t; // If the codes for two points are different, or are both zero, // and there this segment intersects with the small circle. if (!(c & c0) && (t = intersect(point1, point0, true))) { clean = 0; if (smallRadius) { stream.lineStart(); stream.point(t[0][0], t[0][1]); stream.point(t[1][0], t[1][1]); stream.lineEnd(); } else { stream.point(t[1][0], t[1][1]); stream.lineEnd(); stream.lineStart(); stream.point(t[0][0], t[0][1]); } } } if (v && (!point0 || !pointEqual(point0, point1))) { stream.point(point1[0], point1[1]); } point0 = point1, v0 = v, c0 = c; }, lineEnd: function() { if (v0) stream.lineEnd(); point0 = null; }, // Rejoin first and last segments if there were intersections and the first // and last points were visible. clean: function() { return clean | ((v00 && v0) << 1); } }; } // Intersects the great circle between a and b with the clip circle. function intersect(a, b, two) { var pa = cartesian(a), pb = cartesian(b); // We have two planes, n1.p = d1 and n2.p = d2. // Find intersection line p(t) = c1 n1 + c2 n2 + t (n1 ⨯ n2). var n1 = [1, 0, 0], // normal n2 = cartesianCross(pa, pb), n2n2 = cartesianDot(n2, n2), n1n2 = n2[0], // cartesianDot(n1, n2), determinant = n2n2 - n1n2 * n1n2; // Two polar points. if (!determinant) return !two && a; var c1 = cr * n2n2 / determinant, c2 = -cr * n1n2 / determinant, n1xn2 = cartesianCross(n1, n2), A = cartesianScale(n1, c1), B = cartesianScale(n2, c2); cartesianAddInPlace(A, B); // Solve |p(t)|^2 = 1. var u = n1xn2, w = cartesianDot(A, u), uu = cartesianDot(u, u), t2 = w * w - uu * (cartesianDot(A, A) - 1); if (t2 < 0) return; var t = sqrt(t2), q = cartesianScale(u, (-w - t) / uu); cartesianAddInPlace(q, A); q = spherical(q); if (!two) return q; // Two intersection points. var lambda0 = a[0], lambda1 = b[0], phi0 = a[1], phi1 = b[1], z; if (lambda1 < lambda0) z = lambda0, lambda0 = lambda1, lambda1 = z; var delta = lambda1 - lambda0, polar = abs(delta - pi) < epsilon, meridian = polar || delta < epsilon; if (!polar && phi1 < phi0) z = phi0, phi0 = phi1, phi1 = z; // Check that the first point is between a and b. if (meridian ? polar ? phi0 + phi1 > 0 ^ q[1] < (abs(q[0] - lambda0) < epsilon ? phi0 : phi1) : phi0 <= q[1] && q[1] <= phi1 : delta > pi ^ (lambda0 <= q[0] && q[0] <= lambda1)) { var q1 = cartesianScale(u, (-w + t) / uu); cartesianAddInPlace(q1, A); return [q, spherical(q1)]; } } // Generates a 4-bit vector representing the location of a point relative to // the small circle's bounding box. function code(lambda, phi) { var r = smallRadius ? radius : pi - radius, code = 0; if (lambda < -r) code |= 1; // left else if (lambda > r) code |= 2; // right if (phi < -r) code |= 4; // below else if (phi > r) code |= 8; // above return code; } return clip(visible, clipLine, interpolate, smallRadius ? [0, -radius] : [-pi, radius - pi]); } PK[�\C�Y��src/clip/line.jsnu�[���export default function(a, b, x0, y0, x1, y1) { var ax = a[0], ay = a[1], bx = b[0], by = b[1], 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) a[0] = ax + t0 * dx, a[1] = ay + t0 * dy; if (t1 < 1) b[0] = ax + t1 * dx, b[1] = ay + t1 * dy; return true; } PK[�\B�N*ZZsrc/clip/rectangle.jsnu�[���import {abs, epsilon} from "../math"; import clipBuffer from "./buffer"; import clipLine from "./line"; import clipRejoin from "./rejoin"; import {merge} from "d3-array"; var clipMax = 1e9, clipMin = -clipMax; // TODO Use d3-polygon’s polygonContains here for the ring check? // TODO Eliminate duplicate buffering in clipBuffer and polygon.push? export default function clipRectangle(x0, y0, x1, y1) { function visible(x, y) { return x0 <= x && x <= x1 && y0 <= y && y <= y1; } function interpolate(from, to, direction, stream) { var a = 0, a1 = 0; if (from == null || (a = corner(from, direction)) !== (a1 = corner(to, direction)) || comparePoint(from, to) < 0 ^ direction > 0) { do stream.point(a === 0 || a === 3 ? x0 : x1, a > 1 ? y1 : y0); while ((a = (a + direction + 4) % 4) !== a1); } else { stream.point(to[0], to[1]); } } function corner(p, direction) { return abs(p[0] - x0) < epsilon ? direction > 0 ? 0 : 3 : abs(p[0] - x1) < epsilon ? direction > 0 ? 2 : 1 : abs(p[1] - y0) < epsilon ? direction > 0 ? 1 : 0 : direction > 0 ? 3 : 2; // abs(p[1] - y1) < epsilon } function compareIntersection(a, b) { return comparePoint(a.x, b.x); } function comparePoint(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]; } return function(stream) { var activeStream = stream, bufferStream = clipBuffer(), segments, polygon, ring, x__, y__, v__, // first point x_, y_, v_, // previous point first, clean; var clipStream = { point: point, lineStart: lineStart, lineEnd: lineEnd, polygonStart: polygonStart, polygonEnd: polygonEnd }; function point(x, y) { if (visible(x, y)) activeStream.point(x, y); } function polygonInside() { var winding = 0; for (var i = 0, n = polygon.length; i < n; ++i) { for (var ring = polygon[i], j = 1, m = ring.length, point = ring[0], a0, a1, b0 = point[0], b1 = point[1]; j < m; ++j) { a0 = b0, a1 = b1, point = ring[j], b0 = point[0], b1 = point[1]; if (a1 <= y1) { if (b1 > y1 && (b0 - a0) * (y1 - a1) > (b1 - a1) * (x0 - a0)) ++winding; } else { if (b1 <= y1 && (b0 - a0) * (y1 - a1) < (b1 - a1) * (x0 - a0)) --winding; } } } return winding; } // Buffer geometry within a polygon and then clip it en masse. function polygonStart() { activeStream = bufferStream, segments = [], polygon = [], clean = true; } function polygonEnd() { var startInside = polygonInside(), cleanInside = clean && startInside, visible = (segments = merge(segments)).length; if (cleanInside || visible) { stream.polygonStart(); if (cleanInside) { stream.lineStart(); interpolate(null, null, 1, stream); stream.lineEnd(); } if (visible) { clipRejoin(segments, compareIntersection, startInside, interpolate, stream); } stream.polygonEnd(); } activeStream = stream, segments = polygon = ring = null; } function lineStart() { clipStream.point = linePoint; if (polygon) polygon.push(ring = []); first = true; v_ = false; x_ = y_ = NaN; } // TODO rather than special-case polygons, simply handle them separately. // Ideally, coincident intersection points should be jittered to avoid // clipping issues. function lineEnd() { if (segments) { linePoint(x__, y__); if (v__ && v_) bufferStream.rejoin(); segments.push(bufferStream.result()); } clipStream.point = point; if (v_) activeStream.lineEnd(); } function linePoint(x, y) { var v = visible(x, y); if (polygon) ring.push([x, y]); if (first) { x__ = x, y__ = y, v__ = v; first = false; if (v) { activeStream.lineStart(); activeStream.point(x, y); } } else { if (v && v_) activeStream.point(x, y); else { var a = [x_ = Math.max(clipMin, Math.min(clipMax, x_)), y_ = Math.max(clipMin, Math.min(clipMax, y_))], b = [x = Math.max(clipMin, Math.min(clipMax, x)), y = Math.max(clipMin, Math.min(clipMax, y))]; if (clipLine(a, b, x0, y0, x1, y1)) { if (!v_) { activeStream.lineStart(); activeStream.point(a[0], a[1]); } activeStream.point(b[0], b[1]); if (!v) activeStream.lineEnd(); clean = false; } else if (v) { activeStream.lineStart(); activeStream.point(x, y); clean = false; } } } x_ = x, y_ = y, v_ = v; } return clipStream; }; } PK[�\���--src/clip/extent.jsnu�[���import clipRectangle from "./rectangle"; export default function() { var x0 = 0, y0 = 0, x1 = 960, y1 = 500, cache, cacheStream, clip; return clip = { stream: function(stream) { return cache && cacheStream === stream ? cache : cache = clipRectangle(x0, y0, x1, y1)(cacheStream = stream); }, extent: function(_) { return arguments.length ? (x0 = +_[0][0], y0 = +_[0][1], x1 = +_[1][0], y1 = +_[1][1], cache = cacheStream = null, clip) : [[x0, y0], [x1, y1]]; } }; } PK[�\M)�"��src/clip/index.jsnu�[���import clipBuffer from "./buffer"; import clipRejoin from "./rejoin"; import {epsilon, halfPi} from "../math"; import polygonContains from "../polygonContains"; import {merge} from "d3-array"; export default function(pointVisible, clipLine, interpolate, start) { return function(sink) { var line = clipLine(sink), ringBuffer = clipBuffer(), ringSink = clipLine(ringBuffer), polygonStarted = false, polygon, segments, ring; var clip = { point: point, lineStart: lineStart, lineEnd: lineEnd, polygonStart: function() { clip.point = pointRing; clip.lineStart = ringStart; clip.lineEnd = ringEnd; segments = []; polygon = []; }, polygonEnd: function() { clip.point = point; clip.lineStart = lineStart; clip.lineEnd = lineEnd; segments = merge(segments); var startInside = polygonContains(polygon, start); if (segments.length) { if (!polygonStarted) sink.polygonStart(), polygonStarted = true; clipRejoin(segments, compareIntersection, startInside, interpolate, sink); } else if (startInside) { if (!polygonStarted) sink.polygonStart(), polygonStarted = true; sink.lineStart(); interpolate(null, null, 1, sink); sink.lineEnd(); } if (polygonStarted) sink.polygonEnd(), polygonStarted = false; segments = polygon = null; }, sphere: function() { sink.polygonStart(); sink.lineStart(); interpolate(null, null, 1, sink); sink.lineEnd(); sink.polygonEnd(); } }; function point(lambda, phi) { if (pointVisible(lambda, phi)) sink.point(lambda, phi); } function pointLine(lambda, phi) { line.point(lambda, phi); } function lineStart() { clip.point = pointLine; line.lineStart(); } function lineEnd() { clip.point = point; line.lineEnd(); } function pointRing(lambda, phi) { ring.push([lambda, phi]); ringSink.point(lambda, phi); } function ringStart() { ringSink.lineStart(); ring = []; } function ringEnd() { pointRing(ring[0][0], ring[0][1]); ringSink.lineEnd(); var clean = ringSink.clean(), ringSegments = ringBuffer.result(), i, n = ringSegments.length, m, segment, point; ring.pop(); polygon.push(ring); ring = null; if (!n) return; // No intersections. if (clean & 1) { segment = ringSegments[0]; if ((m = segment.length - 1) > 0) { if (!polygonStarted) sink.polygonStart(), polygonStarted = true; sink.lineStart(); for (i = 0; i < m; ++i) sink.point((point = segment[i])[0], point[1]); sink.lineEnd(); } return; } // Rejoin connected segments. // TODO reuse ringBuffer.rejoin()? if (n > 1 && clean & 2) ringSegments.push(ringSegments.pop().concat(ringSegments.shift())); segments.push(ringSegments.filter(validSegment)); } return clip; }; } function validSegment(segment) { return segment.length > 1; } // Intersections are sorted along the clip edge. For both antimeridian cutting // and circle clipping, the same comparison is used. function compareIntersection(a, b) { return ((a = a.x)[0] < 0 ? a[1] - halfPi - epsilon : halfPi - a[1]) - ((b = b.x)[0] < 0 ? b[1] - halfPi - epsilon : halfPi - b[1]); } PK[�\��ͻ��src/clip/buffer.jsnu�[���import noop from "../noop"; export default function() { var lines = [], line; return { point: function(x, y) { line.push([x, y]); }, lineStart: function() { lines.push(line = []); }, lineEnd: noop, rejoin: function() { if (lines.length > 1) lines.push(lines.pop().concat(lines.shift())); }, result: function() { var result = lines; lines = []; line = null; return result; } }; } PK[�\��#o� � src/polygonContains.jsnu�[���import adder from "./adder"; import {cartesian, cartesianCross, cartesianNormalizeInPlace} from "./cartesian"; import {asin, atan2, cos, epsilon, halfPi, pi, quarterPi, sin, tau} from "./math"; var sum = adder(); export default function(polygon, point) { var lambda = point[0], phi = point[1], sinPhi = sin(phi), normal = [sin(lambda), -cos(lambda), 0], angle = 0, winding = 0; sum.reset(); if (sinPhi === 1) phi = halfPi + epsilon; else if (sinPhi === -1) phi = -halfPi - epsilon; for (var i = 0, n = polygon.length; i < n; ++i) { if (!(m = (ring = polygon[i]).length)) continue; var ring, m, point0 = ring[m - 1], lambda0 = point0[0], phi0 = point0[1] / 2 + quarterPi, sinPhi0 = sin(phi0), cosPhi0 = cos(phi0); for (var j = 0; j < m; ++j, lambda0 = lambda1, sinPhi0 = sinPhi1, cosPhi0 = cosPhi1, point0 = point1) { var point1 = ring[j], lambda1 = point1[0], phi1 = point1[1] / 2 + quarterPi, sinPhi1 = sin(phi1), cosPhi1 = cos(phi1), delta = lambda1 - lambda0, sign = delta >= 0 ? 1 : -1, absDelta = sign * delta, antimeridian = absDelta > pi, k = sinPhi0 * sinPhi1; sum.add(atan2(k * sign * sin(absDelta), cosPhi0 * cosPhi1 + k * cos(absDelta))); angle += antimeridian ? delta + sign * tau : delta; // Are the longitudes either side of the point’s meridian (lambda), // and are the latitudes smaller than the parallel (phi)? if (antimeridian ^ lambda0 >= lambda ^ lambda1 >= lambda) { var arc = cartesianCross(cartesian(point0), cartesian(point1)); cartesianNormalizeInPlace(arc); var intersection = cartesianCross(normal, arc); cartesianNormalizeInPlace(intersection); var phiArc = (antimeridian ^ delta >= 0 ? -1 : 1) * asin(intersection[2]); if (phi > phiArc || phi === phiArc && (arc[0] || arc[1])) { winding += antimeridian ^ delta >= 0 ? 1 : -1; } } } } // First, determine whether the South pole is inside or outside: // // It is inside if: // * the polygon winds around it in a clockwise direction. // * the polygon does not (cumulatively) wind around it, but has a negative // (counter-clockwise) area. // // Second, count the (signed) number of times a segment crosses a lambda // from the point to the South pole. If it is zero, then the point is the // same side as the South pole. return (angle < -epsilon || angle < epsilon && sum < -epsilon) ^ (winding & 1); } PK[�\j��r##src/noop.jsnu�[���export default function noop() {} PK[�\�.�D D src/stream.jsnu�[���function streamGeometry(geometry, stream) { if (geometry && streamGeometryType.hasOwnProperty(geometry.type)) { streamGeometryType[geometry.type](geometry, stream); } } var streamObjectType = { Feature: function(object, stream) { streamGeometry(object.geometry, stream); }, FeatureCollection: function(object, stream) { var features = object.features, i = -1, n = features.length; while (++i < n) streamGeometry(features[i].geometry, stream); } }; var streamGeometryType = { Sphere: function(object, stream) { stream.sphere(); }, Point: function(object, stream) { object = object.coordinates; stream.point(object[0], object[1], object[2]); }, MultiPoint: function(object, stream) { var coordinates = object.coordinates, i = -1, n = coordinates.length; while (++i < n) object = coordinates[i], stream.point(object[0], object[1], object[2]); }, LineString: function(object, stream) { streamLine(object.coordinates, stream, 0); }, MultiLineString: function(object, stream) { var coordinates = object.coordinates, i = -1, n = coordinates.length; while (++i < n) streamLine(coordinates[i], stream, 0); }, Polygon: function(object, stream) { streamPolygon(object.coordinates, stream); }, MultiPolygon: function(object, stream) { var coordinates = object.coordinates, i = -1, n = coordinates.length; while (++i < n) streamPolygon(coordinates[i], stream); }, GeometryCollection: function(object, stream) { var geometries = object.geometries, i = -1, n = geometries.length; while (++i < n) streamGeometry(geometries[i], stream); } }; function streamLine(coordinates, stream, closed) { var i = -1, n = coordinates.length - closed, coordinate; stream.lineStart(); while (++i < n) coordinate = coordinates[i], stream.point(coordinate[0], coordinate[1], coordinate[2]); stream.lineEnd(); } function streamPolygon(coordinates, stream) { var i = -1, n = coordinates.length; stream.polygonStart(); while (++i < n) streamLine(coordinates[i], stream, 1); stream.polygonEnd(); } export default function(object, stream) { if (object && streamObjectType.hasOwnProperty(object.type)) { streamObjectType[object.type](object, stream); } else { streamGeometry(object, stream); } } PK[�\;2ri��src/distance.jsnu�[���import length from "./length"; var coordinates = [null, null], object = {type: "LineString", coordinates: coordinates}; export default function(a, b) { coordinates[0] = a; coordinates[1] = b; return length(object); } PK[�\ ���src/projection/conic.jsnu�[���import {degrees, pi, radians} from "../math"; import {projectionMutator} from "./index"; export function conicProjection(projectAt) { var phi0 = 0, phi1 = pi / 3, m = projectionMutator(projectAt), p = m(phi0, phi1); p.parallels = function(_) { return arguments.length ? m(phi0 = _[0] * radians, phi1 = _[1] * radians) : [phi0 * degrees, phi1 * degrees]; }; return p; } PK[�\a��� !src/projection/equirectangular.jsnu�[���import projection from "./index"; export function equirectangularRaw(lambda, phi) { return [lambda, phi]; } equirectangularRaw.invert = equirectangularRaw; export default function() { return projection(equirectangularRaw) .scale(152.63); } PK[�\�C�|II&src/projection/cylindricalEqualArea.jsnu�[���import {asin, cos, sin} from "../math"; export function cylindricalEqualAreaRaw(phi0) { var cosPhi0 = cos(phi0); function forward(lambda, phi) { return [lambda * cosPhi0, sin(phi) / cosPhi0]; } forward.invert = function(x, y) { return [x / cosPhi0, asin(y * cosPhi0)]; }; return forward; } PK[�\ -����$src/projection/azimuthalEqualArea.jsnu�[���import {asin, sqrt} from "../math"; import {azimuthalRaw, azimuthalInvert} from "./azimuthal"; import projection from "./index"; export var azimuthalEqualAreaRaw = azimuthalRaw(function(cxcy) { return sqrt(2 / (1 + cxcy)); }); azimuthalEqualAreaRaw.invert = azimuthalInvert(function(z) { return 2 * asin(z / 2); }); export default function() { return projection(azimuthalEqualAreaRaw) .scale(124.75) .clipAngle(180 - 1e-3); } PK[�\���'�� src/projection/conicEqualArea.jsnu�[���import {abs, asin, atan2, cos, epsilon, sign, sin, sqrt} from "../math"; import {conicProjection} from "./conic"; import {cylindricalEqualAreaRaw} from "./cylindricalEqualArea"; export function conicEqualAreaRaw(y0, y1) { var sy0 = sin(y0), n = (sy0 + sin(y1)) / 2; // Are the parallels symmetrical around the Equator? if (abs(n) < epsilon) return cylindricalEqualAreaRaw(y0); var c = 1 + sy0 * (2 * n - sy0), r0 = sqrt(c) / n; function project(x, y) { var r = sqrt(c - 2 * n * sin(y)) / n; return [r * sin(x *= n), r0 - r * cos(x)]; } project.invert = function(x, y) { var r0y = r0 - y; return [atan2(x, abs(r0y)) / n * sign(r0y), asin((c - (x * x + r0y * r0y) * n * n) / (2 * n))]; }; return project; } export default function() { return conicProjection(conicEqualAreaRaw) .scale(155.424) .center([0, 33.6442]); } PK[�\�Z����src/projection/stereographic.jsnu�[���import {atan, cos, sin} from "../math"; import {azimuthalInvert} from "./azimuthal"; import projection from "./index"; export function stereographicRaw(x, y) { var cy = cos(y), k = 1 + cos(x) * cy; return [cy * sin(x) / k, sin(y) / k]; } stereographicRaw.invert = azimuthalInvert(function(z) { return 2 * atan(z); }); export default function() { return projection(stereographicRaw) .scale(250) .clipAngle(142); } PK[�\7F$src/projection/transverseMercator.jsnu�[���import {atan, exp, halfPi, log, tan} from "../math"; import {mercatorProjection} from "./mercator"; export function transverseMercatorRaw(lambda, phi) { return [log(tan((halfPi + phi) / 2)), -lambda]; } transverseMercatorRaw.invert = function(x, y) { return [-y, 2 * atan(exp(x)) - halfPi]; }; export default function() { var m = mercatorProjection(transverseMercatorRaw), center = m.center, rotate = m.rotate; m.center = function(_) { return arguments.length ? center([-_[1], _[0]]) : (_ = center(), [_[1], -_[0]]); }; m.rotate = function(_) { return arguments.length ? rotate([_[0], _[1], _.length > 2 ? _[2] + 90 : 90]) : (_ = rotate(), [_[0], _[1], _[2] - 90]); }; return rotate([0, 0, 90]) .scale(159.155); } PK[�\ύ1��src/projection/orthographic.jsnu�[���import {asin, cos, epsilon, sin} from "../math"; import {azimuthalInvert} from "./azimuthal"; import projection from "./index"; export function orthographicRaw(x, y) { return [cos(y) * sin(x), sin(y)]; } orthographicRaw.invert = azimuthalInvert(asin); export default function() { return projection(orthographicRaw) .scale(249.5) .clipAngle(90 + epsilon); } PK[�\�/���src/projection/albers.jsnu�[���import conicEqualArea from "./conicEqualArea"; export default function() { return conicEqualArea() .parallels([29.5, 45.5]) .scale(1070) .translate([480, 250]) .rotate([96, 0]) .center([-0.6, 38.7]); } PK[�\��H��&src/projection/azimuthalEquidistant.jsnu�[���import {acos, sin} from "../math"; import {azimuthalRaw, azimuthalInvert} from "./azimuthal"; import projection from "./index"; export var azimuthalEquidistantRaw = azimuthalRaw(function(c) { return (c = acos(c)) && c / sin(c); }); azimuthalEquidistantRaw.invert = azimuthalInvert(function(z) { return z; }); export default function() { return projection(azimuthalEquidistantRaw) .scale(79.4188) .clipAngle(180 - 1e-3); } PK[�\���@@src/projection/mercator.jsnu�[���import {atan, exp, halfPi, log, pi, tan, tau} from "../math"; import rotation from "../rotation"; import projection from "./index"; export function mercatorRaw(lambda, phi) { return [lambda, log(tan((halfPi + phi) / 2))]; } mercatorRaw.invert = function(x, y) { return [x, 2 * atan(exp(y)) - halfPi]; }; export default function() { return mercatorProjection(mercatorRaw) .scale(961 / tau); } export function mercatorProjection(project) { var m = projection(project), center = m.center, scale = m.scale, translate = m.translate, clipExtent = m.clipExtent, x0 = null, y0, x1, y1; // clip extent m.scale = function(_) { return arguments.length ? (scale(_), reclip()) : scale(); }; m.translate = function(_) { return arguments.length ? (translate(_), reclip()) : translate(); }; m.center = function(_) { return arguments.length ? (center(_), reclip()) : center(); }; m.clipExtent = function(_) { return arguments.length ? ((_ == null ? x0 = y0 = x1 = y1 = null : (x0 = +_[0][0], y0 = +_[0][1], x1 = +_[1][0], y1 = +_[1][1])), reclip()) : x0 == null ? null : [[x0, y0], [x1, y1]]; }; function reclip() { var k = pi * scale(), t = m(rotation(m.rotate()).invert([0, 0])); return clipExtent(x0 == null ? [[t[0] - k, t[1] - k], [t[0] + k, t[1] + k]] : project === mercatorRaw ? [[Math.max(t[0] - k, x0), y0], [Math.min(t[0] + k, x1), y1]] : [[x0, Math.max(t[1] - k, y0)], [x1, Math.min(t[1] + k, y1)]]); } return reclip(); } PK[�\�ussrc/projection/azimuthal.jsnu�[���import {asin, atan2, cos, sin, sqrt} from "../math"; export function azimuthalRaw(scale) { return function(x, y) { var cx = cos(x), cy = cos(y), k = scale(cx * cy); return [ k * cy * sin(x), k * sin(y) ]; } } export function azimuthalInvert(angle) { return function(x, y) { var z = sqrt(x * x + y * y), c = angle(z), sc = sin(c), cc = cos(c); return [ atan2(x * sc, z * cc), asin(z && y * sc / z) ]; } } PK[�\�4A`��src/projection/index.jsnu�[���import clipAntimeridian from "../clip/antimeridian"; import clipCircle from "../clip/circle"; import clipRectangle from "../clip/rectangle"; import compose from "../compose"; import identity from "../identity"; import {cos, degrees, radians, sin, sqrt} from "../math"; import {rotateRadians} from "../rotation"; import {transformer} from "../transform"; import {fitExtent, fitSize, fitWidth, fitHeight} from "./fit"; import resample from "./resample"; var transformRadians = transformer({ point: function(x, y) { this.stream.point(x * radians, y * radians); } }); function transformRotate(rotate) { return transformer({ point: function(x, y) { var r = rotate(x, y); return this.stream.point(r[0], r[1]); } }); } function scaleTranslate(k, dx, dy) { function transform(x, y) { return [dx + k * x, dy - k * y]; } transform.invert = function(x, y) { return [(x - dx) / k, (dy - y) / k]; }; return transform; } function scaleTranslateRotate(k, dx, dy, alpha) { var cosAlpha = cos(alpha), sinAlpha = sin(alpha), a = cosAlpha * k, b = sinAlpha * k, ai = cosAlpha / k, bi = sinAlpha / k, ci = (sinAlpha * dy - cosAlpha * dx) / k, fi = (sinAlpha * dx + cosAlpha * dy) / k; function transform(x, y) { return [a * x - b * y + dx, dy - b * x - a * y]; } transform.invert = function(x, y) { return [ai * x - bi * y + ci, fi - bi * x - ai * y]; }; return transform; } export default function projection(project) { return projectionMutator(function() { return project; })(); } export function projectionMutator(projectAt) { var project, k = 150, // scale x = 480, y = 250, // translate lambda = 0, phi = 0, // center deltaLambda = 0, deltaPhi = 0, deltaGamma = 0, rotate, // pre-rotate alpha = 0, // post-rotate theta = null, preclip = clipAntimeridian, // pre-clip angle x0 = null, y0, x1, y1, postclip = identity, // post-clip extent delta2 = 0.5, // precision projectResample, projectTransform, projectRotateTransform, cache, cacheStream; function projection(point) { return projectRotateTransform(point[0] * radians, point[1] * radians); } function invert(point) { point = projectRotateTransform.invert(point[0], point[1]); return point && [point[0] * degrees, point[1] * degrees]; } projection.stream = function(stream) { return cache && cacheStream === stream ? cache : cache = transformRadians(transformRotate(rotate)(preclip(projectResample(postclip(cacheStream = stream))))); }; projection.preclip = function(_) { return arguments.length ? (preclip = _, theta = undefined, reset()) : preclip; }; projection.postclip = function(_) { return arguments.length ? (postclip = _, x0 = y0 = x1 = y1 = null, reset()) : postclip; }; projection.clipAngle = function(_) { return arguments.length ? (preclip = +_ ? clipCircle(theta = _ * radians) : (theta = null, clipAntimeridian), reset()) : theta * degrees; }; projection.clipExtent = function(_) { return arguments.length ? (postclip = _ == null ? (x0 = y0 = x1 = y1 = null, identity) : clipRectangle(x0 = +_[0][0], y0 = +_[0][1], x1 = +_[1][0], y1 = +_[1][1]), reset()) : x0 == null ? null : [[x0, y0], [x1, y1]]; }; projection.scale = function(_) { return arguments.length ? (k = +_, recenter()) : k; }; projection.translate = function(_) { return arguments.length ? (x = +_[0], y = +_[1], recenter()) : [x, y]; }; projection.center = function(_) { return arguments.length ? (lambda = _[0] % 360 * radians, phi = _[1] % 360 * radians, recenter()) : [lambda * degrees, phi * degrees]; }; projection.rotate = function(_) { return arguments.length ? (deltaLambda = _[0] % 360 * radians, deltaPhi = _[1] % 360 * radians, deltaGamma = _.length > 2 ? _[2] % 360 * radians : 0, recenter()) : [deltaLambda * degrees, deltaPhi * degrees, deltaGamma * degrees]; }; projection.angle = function(_) { return arguments.length ? (alpha = _ % 360 * radians, recenter()) : alpha * degrees; }; projection.precision = function(_) { return arguments.length ? (projectResample = resample(projectTransform, delta2 = _ * _), reset()) : sqrt(delta2); }; projection.fitExtent = function(extent, object) { return fitExtent(projection, extent, object); }; projection.fitSize = function(size, object) { return fitSize(projection, size, object); }; projection.fitWidth = function(width, object) { return fitWidth(projection, width, object); }; projection.fitHeight = function(height, object) { return fitHeight(projection, height, object); }; function recenter() { var center = scaleTranslateRotate(k, 0, 0, alpha).apply(null, project(lambda, phi)), transform = (alpha ? scaleTranslateRotate : scaleTranslate)(k, x - center[0], y - center[1], alpha); rotate = rotateRadians(deltaLambda, deltaPhi, deltaGamma); projectTransform = compose(project, transform); projectRotateTransform = compose(rotate, projectTransform); projectResample = resample(projectTransform, delta2); return reset(); } function reset() { cache = cacheStream = null; return projection; } return function() { project = projectAt.apply(this, arguments); projection.invert = project.invert && invert; return recenter(); }; } PK[�\��*-,,src/projection/naturalEarth1.jsnu�[���import projection from "./index"; import {abs, epsilon} from "../math"; export function naturalEarth1Raw(lambda, phi) { var phi2 = phi * phi, phi4 = phi2 * phi2; return [ lambda * (0.8707 - 0.131979 * phi2 + phi4 * (-0.013791 + phi4 * (0.003971 * phi2 - 0.001529 * phi4))), phi * (1.007226 + phi2 * (0.015085 + phi4 * (-0.044475 + 0.028874 * phi2 - 0.005916 * phi4))) ]; } naturalEarth1Raw.invert = function(x, y) { var phi = y, i = 25, delta; do { var phi2 = phi * phi, phi4 = phi2 * phi2; phi -= delta = (phi * (1.007226 + phi2 * (0.015085 + phi4 * (-0.044475 + 0.028874 * phi2 - 0.005916 * phi4))) - y) / (1.007226 + phi2 * (0.015085 * 3 + phi4 * (-0.044475 * 7 + 0.028874 * 9 * phi2 - 0.005916 * 11 * phi4))); } while (abs(delta) > epsilon && --i > 0); return [ x / (0.8707 + (phi2 = phi * phi) * (-0.131979 + phi2 * (-0.013791 + phi2 * phi2 * phi2 * (0.003971 - 0.001529 * phi2)))), phi ]; }; export default function() { return projection(naturalEarth1Raw) .scale(175.295); } PK[�\>�r���src/projection/gnomonic.jsnu�[���import {atan, cos, sin} from "../math"; import {azimuthalInvert} from "./azimuthal"; import projection from "./index"; export function gnomonicRaw(x, y) { var cy = cos(y), k = cos(x) * cy; return [cy * sin(x) / k, sin(y) / k]; } gnomonicRaw.invert = azimuthalInvert(atan); export default function() { return projection(gnomonicRaw) .scale(144.049) .clipAngle(60); } PK[�\� Dccsrc/projection/fit.jsnu�[���import {default as geoStream} from "../stream"; import boundsStream from "../path/bounds"; function fit(projection, fitBounds, object) { var clip = projection.clipExtent && projection.clipExtent(); projection.scale(150).translate([0, 0]); if (clip != null) projection.clipExtent(null); geoStream(object, projection.stream(boundsStream)); fitBounds(boundsStream.result()); if (clip != null) projection.clipExtent(clip); return projection; } export function fitExtent(projection, extent, object) { return fit(projection, function(b) { var w = extent[1][0] - extent[0][0], h = extent[1][1] - extent[0][1], k = Math.min(w / (b[1][0] - b[0][0]), h / (b[1][1] - b[0][1])), x = +extent[0][0] + (w - k * (b[1][0] + b[0][0])) / 2, y = +extent[0][1] + (h - k * (b[1][1] + b[0][1])) / 2; projection.scale(150 * k).translate([x, y]); }, object); } export function fitSize(projection, size, object) { return fitExtent(projection, [[0, 0], size], object); } export function fitWidth(projection, width, object) { return fit(projection, function(b) { var w = +width, k = w / (b[1][0] - b[0][0]), x = (w - k * (b[1][0] + b[0][0])) / 2, y = -k * b[0][1]; projection.scale(150 * k).translate([x, y]); }, object); } export function fitHeight(projection, height, object) { return fit(projection, function(b) { var h = +height, k = h / (b[1][1] - b[0][1]), x = -k * b[0][0], y = (h - k * (b[1][1] + b[0][1])) / 2; projection.scale(150 * k).translate([x, y]); }, object); } PK[�\览� "src/projection/conicEquidistant.jsnu�[���import {abs, atan2, cos, epsilon, sign, sin, sqrt} from "../math"; import {conicProjection} from "./conic"; import {equirectangularRaw} from "./equirectangular"; export function conicEquidistantRaw(y0, y1) { var cy0 = cos(y0), n = y0 === y1 ? sin(y0) : (cy0 - cos(y1)) / (y1 - y0), g = cy0 / n + y0; if (abs(n) < epsilon) return equirectangularRaw; function project(x, y) { var gy = g - y, nx = n * x; return [gy * sin(nx), g - gy * cos(nx)]; } project.invert = function(x, y) { var gy = g - y; return [atan2(x, abs(gy)) / n * sign(gy), g - sign(n) * sqrt(x * x + gy * gy)]; }; return project; } export default function() { return conicProjection(conicEquidistantRaw) .scale(131.154) .center([0, 13.9389]); } PK[�\��l���src/projection/albersUsa.jsnu�[���import {epsilon} from "../math"; import albers from "./albers"; import conicEqualArea from "./conicEqualArea"; import {fitExtent, fitSize, fitWidth, fitHeight} from "./fit"; // The projections must have mutually exclusive clip regions on the sphere, // as this will avoid emitting interleaving lines and polygons. function multiplex(streams) { var n = streams.length; return { point: function(x, y) { var i = -1; while (++i < n) streams[i].point(x, y); }, sphere: function() { var i = -1; while (++i < n) streams[i].sphere(); }, lineStart: function() { var i = -1; while (++i < n) streams[i].lineStart(); }, lineEnd: function() { var i = -1; while (++i < n) streams[i].lineEnd(); }, polygonStart: function() { var i = -1; while (++i < n) streams[i].polygonStart(); }, polygonEnd: function() { var i = -1; while (++i < n) streams[i].polygonEnd(); } }; } // A composite projection for the United States, configured by default for // 960×500. The projection also works quite well at 960×600 if you change the // scale to 1285 and adjust the translate accordingly. The set of standard // parallels for each region comes from USGS, which is published here: // http://egsc.usgs.gov/isb/pubs/MapProjections/projections.html#albers export default function() { var cache, cacheStream, lower48 = albers(), lower48Point, alaska = conicEqualArea().rotate([154, 0]).center([-2, 58.5]).parallels([55, 65]), alaskaPoint, // EPSG:3338 hawaii = conicEqualArea().rotate([157, 0]).center([-3, 19.9]).parallels([8, 18]), hawaiiPoint, // ESRI:102007 point, pointStream = {point: function(x, y) { point = [x, y]; }}; function albersUsa(coordinates) { var x = coordinates[0], y = coordinates[1]; return point = null, (lower48Point.point(x, y), point) || (alaskaPoint.point(x, y), point) || (hawaiiPoint.point(x, y), point); } albersUsa.invert = function(coordinates) { var k = lower48.scale(), t = lower48.translate(), x = (coordinates[0] - t[0]) / k, y = (coordinates[1] - t[1]) / k; return (y >= 0.120 && y < 0.234 && x >= -0.425 && x < -0.214 ? alaska : y >= 0.166 && y < 0.234 && x >= -0.214 && x < -0.115 ? hawaii : lower48).invert(coordinates); }; albersUsa.stream = function(stream) { return cache && cacheStream === stream ? cache : cache = multiplex([lower48.stream(cacheStream = stream), alaska.stream(stream), hawaii.stream(stream)]); }; albersUsa.precision = function(_) { if (!arguments.length) return lower48.precision(); lower48.precision(_), alaska.precision(_), hawaii.precision(_); return reset(); }; albersUsa.scale = function(_) { if (!arguments.length) return lower48.scale(); lower48.scale(_), alaska.scale(_ * 0.35), hawaii.scale(_); return albersUsa.translate(lower48.translate()); }; albersUsa.translate = function(_) { if (!arguments.length) return lower48.translate(); var k = lower48.scale(), x = +_[0], y = +_[1]; lower48Point = lower48 .translate(_) .clipExtent([[x - 0.455 * k, y - 0.238 * k], [x + 0.455 * k, y + 0.238 * k]]) .stream(pointStream); alaskaPoint = alaska .translate([x - 0.307 * k, y + 0.201 * k]) .clipExtent([[x - 0.425 * k + epsilon, y + 0.120 * k + epsilon], [x - 0.214 * k - epsilon, y + 0.234 * k - epsilon]]) .stream(pointStream); hawaiiPoint = hawaii .translate([x - 0.205 * k, y + 0.212 * k]) .clipExtent([[x - 0.214 * k + epsilon, y + 0.166 * k + epsilon], [x - 0.115 * k - epsilon, y + 0.234 * k - epsilon]]) .stream(pointStream); return reset(); }; albersUsa.fitExtent = function(extent, object) { return fitExtent(albersUsa, extent, object); }; albersUsa.fitSize = function(size, object) { return fitSize(albersUsa, size, object); }; albersUsa.fitWidth = function(width, object) { return fitWidth(albersUsa, width, object); }; albersUsa.fitHeight = function(height, object) { return fitHeight(albersUsa, height, object); }; function reset() { cache = cacheStream = null; return albersUsa; } return albersUsa.scale(1070); } PK[�\���1 1 src/projection/resample.jsnu�[���import {cartesian} from "../cartesian"; import {abs, asin, atan2, cos, epsilon, radians, sqrt} from "../math"; import {transformer} from "../transform"; var maxDepth = 16, // maximum depth of subdivision cosMinDistance = cos(30 * radians); // cos(minimum angular distance) export default function(project, delta2) { return +delta2 ? resample(project, delta2) : resampleNone(project); } function resampleNone(project) { return transformer({ point: function(x, y) { x = project(x, y); this.stream.point(x[0], x[1]); } }); } function resample(project, delta2) { function resampleLineTo(x0, y0, lambda0, a0, b0, c0, x1, y1, lambda1, a1, b1, c1, depth, stream) { var dx = x1 - x0, dy = y1 - y0, d2 = dx * dx + dy * dy; if (d2 > 4 * delta2 && depth--) { var a = a0 + a1, b = b0 + b1, c = c0 + c1, m = sqrt(a * a + b * b + c * c), phi2 = asin(c /= m), lambda2 = abs(abs(c) - 1) < epsilon || abs(lambda0 - lambda1) < epsilon ? (lambda0 + lambda1) / 2 : atan2(b, a), p = project(lambda2, phi2), x2 = p[0], y2 = p[1], dx2 = x2 - x0, dy2 = y2 - y0, dz = dy * dx2 - dx * dy2; if (dz * dz / d2 > delta2 // perpendicular projected distance || abs((dx * dx2 + dy * dy2) / d2 - 0.5) > 0.3 // midpoint close to an end || a0 * a1 + b0 * b1 + c0 * c1 < cosMinDistance) { // angular distance resampleLineTo(x0, y0, lambda0, a0, b0, c0, x2, y2, lambda2, a /= m, b /= m, c, depth, stream); stream.point(x2, y2); resampleLineTo(x2, y2, lambda2, a, b, c, x1, y1, lambda1, a1, b1, c1, depth, stream); } } } return function(stream) { var lambda00, x00, y00, a00, b00, c00, // first point lambda0, x0, y0, a0, b0, c0; // previous point var resampleStream = { point: point, lineStart: lineStart, lineEnd: lineEnd, polygonStart: function() { stream.polygonStart(); resampleStream.lineStart = ringStart; }, polygonEnd: function() { stream.polygonEnd(); resampleStream.lineStart = lineStart; } }; function point(x, y) { x = project(x, y); stream.point(x[0], x[1]); } function lineStart() { x0 = NaN; resampleStream.point = linePoint; stream.lineStart(); } function linePoint(lambda, phi) { var c = cartesian([lambda, phi]), p = project(lambda, phi); resampleLineTo(x0, y0, lambda0, a0, b0, c0, x0 = p[0], y0 = p[1], lambda0 = lambda, a0 = c[0], b0 = c[1], c0 = c[2], maxDepth, stream); stream.point(x0, y0); } function lineEnd() { resampleStream.point = point; stream.lineEnd(); } function ringStart() { lineStart(); resampleStream.point = ringPoint; resampleStream.lineEnd = ringEnd; } function ringPoint(lambda, phi) { linePoint(lambda00 = lambda, phi), x00 = x0, y00 = y0, a00 = a0, b00 = b0, c00 = c0; resampleStream.point = linePoint; } function ringEnd() { resampleLineTo(x0, y0, lambda0, a0, b0, c0, x00, y00, lambda00, a00, b00, c00, maxDepth, stream); resampleStream.lineEnd = lineEnd; lineEnd(); } return resampleStream; }; } PK[�\v�.$$src/projection/equalEarth.jsnu�[���import projection from "./index.js"; import {abs, asin, cos, epsilon2, sin, sqrt} from "../math.js"; var A1 = 1.340264, A2 = -0.081106, A3 = 0.000893, A4 = 0.003796, M = sqrt(3) / 2, iterations = 12; export function equalEarthRaw(lambda, phi) { var l = asin(M * sin(phi)), l2 = l * l, l6 = l2 * l2 * l2; return [ lambda * cos(l) / (M * (A1 + 3 * A2 * l2 + l6 * (7 * A3 + 9 * A4 * l2))), l * (A1 + A2 * l2 + l6 * (A3 + A4 * l2)) ]; } equalEarthRaw.invert = function(x, y) { var l = y, l2 = l * l, l6 = l2 * l2 * l2; for (var i = 0, delta, fy, fpy; i < iterations; ++i) { fy = l * (A1 + A2 * l2 + l6 * (A3 + A4 * l2)) - y; fpy = A1 + 3 * A2 * l2 + l6 * (7 * A3 + 9 * A4 * l2); l -= delta = fy / fpy, l2 = l * l, l6 = l2 * l2 * l2; if (abs(delta) < epsilon2) break; } return [ M * x * (A1 + 3 * A2 * l2 + l6 * (7 * A3 + 9 * A4 * l2)) / cos(l), asin(sin(l) / M) ]; }; export default function() { return projection(equalEarthRaw) .scale(177.158); } PK[�\ص�5 5 src/projection/identity.jsnu�[���import clipRectangle from "../clip/rectangle"; import identity from "../identity"; import {transformer} from "../transform"; import {fitExtent, fitSize, fitWidth, fitHeight} from "./fit"; function scaleTranslate(kx, ky, tx, ty) { return kx === 1 && ky === 1 && tx === 0 && ty === 0 ? identity : transformer({ point: function(x, y) { this.stream.point(x * kx + tx, y * ky + ty); } }); } export default function() { var k = 1, tx = 0, ty = 0, sx = 1, sy = 1, transform = identity, // scale, translate and reflect x0 = null, y0, x1, y1, // clip extent postclip = identity, cache, cacheStream, projection; function reset() { cache = cacheStream = null; return projection; } return projection = { stream: function(stream) { return cache && cacheStream === stream ? cache : cache = transform(postclip(cacheStream = stream)); }, postclip: function(_) { return arguments.length ? (postclip = _, x0 = y0 = x1 = y1 = null, reset()) : postclip; }, clipExtent: function(_) { return arguments.length ? (postclip = _ == null ? (x0 = y0 = x1 = y1 = null, identity) : clipRectangle(x0 = +_[0][0], y0 = +_[0][1], x1 = +_[1][0], y1 = +_[1][1]), reset()) : x0 == null ? null : [[x0, y0], [x1, y1]]; }, scale: function(_) { return arguments.length ? (transform = scaleTranslate((k = +_) * sx, k * sy, tx, ty), reset()) : k; }, translate: function(_) { return arguments.length ? (transform = scaleTranslate(k * sx, k * sy, tx = +_[0], ty = +_[1]), reset()) : [tx, ty]; }, reflectX: function(_) { return arguments.length ? (transform = scaleTranslate(k * (sx = _ ? -1 : 1), k * sy, tx, ty), reset()) : sx < 0; }, reflectY: function(_) { return arguments.length ? (transform = scaleTranslate(k * sx, k * (sy = _ ? -1 : 1), tx, ty), reset()) : sy < 0; }, fitExtent: function(extent, object) { return fitExtent(projection, extent, object); }, fitSize: function(size, object) { return fitSize(projection, size, object); }, fitWidth: function(width, object) { return fitWidth(projection, width, object); }, fitHeight: function(height, object) { return fitHeight(projection, height, object); } }; } PK[�\H��� src/projection/conicConformal.jsnu�[���import {abs, atan, atan2, cos, epsilon, halfPi, log, pow, sign, sin, sqrt, tan} from "../math"; import {conicProjection} from "./conic"; import {mercatorRaw} from "./mercator"; function tany(y) { return tan((halfPi + y) / 2); } export function conicConformalRaw(y0, y1) { var cy0 = cos(y0), n = y0 === y1 ? sin(y0) : log(cy0 / cos(y1)) / log(tany(y1) / tany(y0)), f = cy0 * pow(tany(y0), n) / n; if (!n) return mercatorRaw; function project(x, y) { if (f > 0) { if (y < -halfPi + epsilon) y = -halfPi + epsilon; } else { if (y > halfPi - epsilon) y = halfPi - epsilon; } var r = f / pow(tany(y), n); return [r * sin(n * x), f - r * cos(n * x)]; } project.invert = function(x, y) { var fy = f - y, r = sign(n) * sqrt(x * x + fy * fy); return [atan2(x, abs(fy)) / n * sign(fy), 2 * atan(pow(f / r, 1 / n)) - halfPi]; }; return project; } export default function() { return conicProjection(conicConformalRaw) .scale(109.5) .parallels([30, 30]); } PK[�\~d���src/pointEqual.jsnu�[���import {abs, epsilon} from "./math"; export default function(a, b) { return abs(a[0] - b[0]) < epsilon && abs(a[1] - b[1]) < epsilon; } PK[�\<��� � src/contains.jsnu�[���import {default as polygonContains} from "./polygonContains"; import {default as distance} from "./distance"; import {epsilon, radians} from "./math"; var containsObjectType = { Feature: function(object, point) { return containsGeometry(object.geometry, point); }, FeatureCollection: function(object, point) { var features = object.features, i = -1, n = features.length; while (++i < n) if (containsGeometry(features[i].geometry, point)) return true; return false; } }; var containsGeometryType = { Sphere: function() { return true; }, Point: function(object, point) { return containsPoint(object.coordinates, point); }, MultiPoint: function(object, point) { var coordinates = object.coordinates, i = -1, n = coordinates.length; while (++i < n) if (containsPoint(coordinates[i], point)) return true; return false; }, LineString: function(object, point) { return containsLine(object.coordinates, point); }, MultiLineString: function(object, point) { var coordinates = object.coordinates, i = -1, n = coordinates.length; while (++i < n) if (containsLine(coordinates[i], point)) return true; return false; }, Polygon: function(object, point) { return containsPolygon(object.coordinates, point); }, MultiPolygon: function(object, point) { var coordinates = object.coordinates, i = -1, n = coordinates.length; while (++i < n) if (containsPolygon(coordinates[i], point)) return true; return false; }, GeometryCollection: function(object, point) { var geometries = object.geometries, i = -1, n = geometries.length; while (++i < n) if (containsGeometry(geometries[i], point)) return true; return false; } }; function containsGeometry(geometry, point) { return geometry && containsGeometryType.hasOwnProperty(geometry.type) ? containsGeometryType[geometry.type](geometry, point) : false; } function containsPoint(coordinates, point) { return distance(coordinates, point) === 0; } function containsLine(coordinates, point) { var ab = distance(coordinates[0], coordinates[1]), ao = distance(coordinates[0], point), ob = distance(point, coordinates[1]); return ao + ob <= ab + epsilon; } function containsPolygon(coordinates, point) { return !!polygonContains(coordinates.map(ringRadians), pointRadians(point)); } function ringRadians(ring) { return ring = ring.map(pointRadians), ring.pop(), ring; } function pointRadians(point) { return [point[0] * radians, point[1] * radians]; } export default function(object, point) { return (object && containsObjectType.hasOwnProperty(object.type) ? containsObjectType[object.type] : containsGeometry)(object, point); } PK[�\J�!���src/interpolate.jsnu�[���import {asin, atan2, cos, degrees, haversin, radians, sin, sqrt} from "./math"; export default function(a, b) { var x0 = a[0] * radians, y0 = a[1] * radians, x1 = b[0] * radians, y1 = b[1] * radians, cy0 = cos(y0), sy0 = sin(y0), cy1 = cos(y1), sy1 = sin(y1), kx0 = cy0 * cos(x0), ky0 = cy0 * sin(x0), kx1 = cy1 * cos(x1), ky1 = cy1 * sin(x1), d = 2 * asin(sqrt(haversin(y1 - y0) + cy0 * cy1 * haversin(x1 - x0))), k = sin(d); var interpolate = d ? function(t) { var B = sin(t *= d) / k, A = sin(d - t) / k, x = A * kx0 + B * kx1, y = A * ky0 + B * ky1, z = A * sy0 + B * sy1; return [ atan2(y, x) * degrees, atan2(z, sqrt(x * x + y * y)) * degrees ]; } : function() { return [x0 * degrees, y0 * degrees]; }; interpolate.distance = d; return interpolate; } PK[�\�`�src/compose.jsnu�[���export default function(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) { return x = b.invert(x, y), x && a.invert(x[0], x[1]); }; return compose; } PK[�\F��5..src/identity.jsnu�[���export default function(x) { return x; } PK[�\�בi��src/adder.jsnu�[���// Adds floating point numbers with twice the normal precision. // Reference: J. R. Shewchuk, Adaptive Precision Floating-Point Arithmetic and // Fast Robust Geometric Predicates, Discrete & Computational Geometry 18(3) // 305–363 (1997). // Code adapted from GeographicLib by Charles F. F. Karney, // http://geographiclib.sourceforge.net/ export default function() { return new Adder; } function Adder() { this.reset(); } Adder.prototype = { constructor: Adder, reset: function() { this.s = // rounded value this.t = 0; // exact error }, add: function(y) { add(temp, y, this.t); add(this, temp.s, this.s); if (this.s) this.t += temp.t; else this.s = temp.t; }, valueOf: function() { return this.s; } }; var temp = new Adder; function add(adder, a, b) { var x = adder.s = a + b, bv = x - a, av = x - bv; adder.t = (a - av) + (b - bv); } PK[�\��G package.jsonnu�[���{ "_args": [ [ "d3-geo@1.11.1", "C:\\Users\\Ovi-PC\\Downloads\\themekit-master\\themekit" ] ], "_from": "d3-geo@1.11.1", "_id": "d3-geo@1.11.1", "_inBundle": false, "_integrity": "sha512-GsG7x9G9sykseLviOVSJ3h5yjw0ItLopOtuDQKUt1TRklEegCw5WAmnIpYYiCkSH/QgUMleAeE2xZK38Qb+1+Q==", "_location": "/d3-geo", "_phantomChildren": {}, "_requested": { "type": "version", "registry": true, "raw": "d3-geo@1.11.1", "name": "d3-geo", "escapedName": "d3-geo", "rawSpec": "1.11.1", "saveSpec": null, "fetchSpec": "1.11.1" }, "_requiredBy": [ "/d3" ], "_resolved": "https://registry.npmjs.org/d3-geo/-/d3-geo-1.11.1.tgz", "_spec": "1.11.1", "_where": "C:\\Users\\Ovi-PC\\Downloads\\themekit-master\\themekit", "author": { "name": "Mike Bostock", "url": "https://bost.ocks.org/mike" }, "bugs": { "url": "https://github.com/d3/d3-geo/issues" }, "dependencies": { "d3-array": "1" }, "description": "Shapes and calculators for spherical coordinates.", "devDependencies": { "canvas": "1", "d3-format": "1", "eslint": "5", "rollup": "0.64", "rollup-plugin-terser": "1", "tape": "4", "topojson-client": "3", "world-atlas": "1" }, "homepage": "https://d3js.org/d3-geo/", "jsdelivr": "dist/d3-geo.min.js", "keywords": [ "d3", "d3-module", "geo", "maps", "cartography" ], "license": "BSD-3-Clause", "main": "dist/d3-geo.js", "module": "src/index.js", "name": "d3-geo", "repository": { "type": "git", "url": "git+https://github.com/d3/d3-geo.git" }, "scripts": { "postpublish": "git push && git push --tags && cd ../d3.github.com && git pull && cp ../${npm_package_name}/dist/${npm_package_name}.js ${npm_package_name}.v${npm_package_version%%.*}.js && cp ../${npm_package_name}/dist/${npm_package_name}.min.js ${npm_package_name}.v${npm_package_version%%.*}.min.js && git add ${npm_package_name}.v${npm_package_version%%.*}.js ${npm_package_name}.v${npm_package_version%%.*}.min.js && git commit -m \"${npm_package_name} ${npm_package_version}\" && git push && cd - && zip -j dist/${npm_package_name}.zip -- LICENSE README.md dist/${npm_package_name}.js dist/${npm_package_name}.min.js", "prepublishOnly": "rm -rf dist && yarn test && mkdir -p test/output && test/compare-images", "pretest": "rollup -c", "test": "tape 'test/**/*-test.js' && eslint src" }, "unpkg": "dist/d3-geo.min.js", "version": "1.11.1" } PK[�\k�u�^ ^ LICENSEnu�[���Copyright 2010-2016 Mike Bostock All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of the author nor the names of contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. This license applies to GeographicLib, versions 1.12 and later. Copyright (c) 2008-2012, Charles Karney Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. PK[�\D�KP�c�cdist/d3-geo.jsnu�[���// https://d3js.org/d3-geo/ v1.11.1 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'; // Adds floating point numbers with twice the normal precision. // Reference: J. R. Shewchuk, Adaptive Precision Floating-Point Arithmetic and // Fast Robust Geometric Predicates, Discrete & Computational Geometry 18(3) // 305–363 (1997). // Code adapted from GeographicLib by Charles F. F. Karney, // http://geographiclib.sourceforge.net/ function adder() { return new Adder; } function Adder() { this.reset(); } Adder.prototype = { constructor: Adder, reset: function() { this.s = // rounded value this.t = 0; // exact error }, add: function(y) { add(temp, y, this.t); add(this, temp.s, this.s); if (this.s) this.t += temp.t; else this.s = temp.t; }, valueOf: function() { return this.s; } }; var temp = new Adder; function add(adder, a, b) { var x = adder.s = a + b, bv = x - a, av = x - bv; adder.t = (a - av) + (b - bv); } var epsilon = 1e-6; var epsilon2 = 1e-12; var pi = Math.PI; var halfPi = pi / 2; var quarterPi = pi / 4; var tau = pi * 2; var degrees = 180 / pi; var radians = pi / 180; var abs = Math.abs; var atan = Math.atan; var atan2 = Math.atan2; var cos = Math.cos; var ceil = Math.ceil; var exp = Math.exp; var log = Math.log; var pow = Math.pow; var sin = Math.sin; var sign = Math.sign || function(x) { return x > 0 ? 1 : x < 0 ? -1 : 0; }; var sqrt = Math.sqrt; var tan = Math.tan; function acos(x) { return x > 1 ? 0 : x < -1 ? pi : Math.acos(x); } function asin(x) { return x > 1 ? halfPi : x < -1 ? -halfPi : Math.asin(x); } function haversin(x) { return (x = sin(x / 2)) * x; } function noop() {} function streamGeometry(geometry, stream) { if (geometry && streamGeometryType.hasOwnProperty(geometry.type)) { streamGeometryType[geometry.type](geometry, stream); } } var streamObjectType = { Feature: function(object, stream) { streamGeometry(object.geometry, stream); }, FeatureCollection: function(object, stream) { var features = object.features, i = -1, n = features.length; while (++i < n) streamGeometry(features[i].geometry, stream); } }; var streamGeometryType = { Sphere: function(object, stream) { stream.sphere(); }, Point: function(object, stream) { object = object.coordinates; stream.point(object[0], object[1], object[2]); }, MultiPoint: function(object, stream) { var coordinates = object.coordinates, i = -1, n = coordinates.length; while (++i < n) object = coordinates[i], stream.point(object[0], object[1], object[2]); }, LineString: function(object, stream) { streamLine(object.coordinates, stream, 0); }, MultiLineString: function(object, stream) { var coordinates = object.coordinates, i = -1, n = coordinates.length; while (++i < n) streamLine(coordinates[i], stream, 0); }, Polygon: function(object, stream) { streamPolygon(object.coordinates, stream); }, MultiPolygon: function(object, stream) { var coordinates = object.coordinates, i = -1, n = coordinates.length; while (++i < n) streamPolygon(coordinates[i], stream); }, GeometryCollection: function(object, stream) { var geometries = object.geometries, i = -1, n = geometries.length; while (++i < n) streamGeometry(geometries[i], stream); } }; function streamLine(coordinates, stream, closed) { var i = -1, n = coordinates.length - closed, coordinate; stream.lineStart(); while (++i < n) coordinate = coordinates[i], stream.point(coordinate[0], coordinate[1], coordinate[2]); stream.lineEnd(); } function streamPolygon(coordinates, stream) { var i = -1, n = coordinates.length; stream.polygonStart(); while (++i < n) streamLine(coordinates[i], stream, 1); stream.polygonEnd(); } function geoStream(object, stream) { if (object && streamObjectType.hasOwnProperty(object.type)) { streamObjectType[object.type](object, stream); } else { streamGeometry(object, stream); } } var areaRingSum = adder(); var areaSum = adder(), lambda00, phi00, lambda0, cosPhi0, sinPhi0; var areaStream = { point: noop, lineStart: noop, lineEnd: noop, polygonStart: function() { areaRingSum.reset(); areaStream.lineStart = areaRingStart; areaStream.lineEnd = areaRingEnd; }, polygonEnd: function() { var areaRing = +areaRingSum; areaSum.add(areaRing < 0 ? tau + areaRing : areaRing); this.lineStart = this.lineEnd = this.point = noop; }, sphere: function() { areaSum.add(tau); } }; function areaRingStart() { areaStream.point = areaPointFirst; } function areaRingEnd() { areaPoint(lambda00, phi00); } function areaPointFirst(lambda, phi) { areaStream.point = areaPoint; lambda00 = lambda, phi00 = phi; lambda *= radians, phi *= radians; lambda0 = lambda, cosPhi0 = cos(phi = phi / 2 + quarterPi), sinPhi0 = sin(phi); } function areaPoint(lambda, phi) { lambda *= radians, phi *= radians; phi = phi / 2 + quarterPi; // half the angular distance from south pole // Spherical excess E for a spherical triangle with vertices: south pole, // previous point, current point. Uses a formula derived from Cagnoli’s // theorem. See Todhunter, Spherical Trig. (1871), Sec. 103, Eq. (2). var dLambda = lambda - lambda0, sdLambda = dLambda >= 0 ? 1 : -1, adLambda = sdLambda * dLambda, cosPhi = cos(phi), sinPhi = sin(phi), k = sinPhi0 * sinPhi, u = cosPhi0 * cosPhi + k * cos(adLambda), v = k * sdLambda * sin(adLambda); areaRingSum.add(atan2(v, u)); // Advance the previous points. lambda0 = lambda, cosPhi0 = cosPhi, sinPhi0 = sinPhi; } function area(object) { areaSum.reset(); geoStream(object, areaStream); return areaSum * 2; } function spherical(cartesian) { return [atan2(cartesian[1], cartesian[0]), asin(cartesian[2])]; } function cartesian(spherical) { var lambda = spherical[0], phi = spherical[1], cosPhi = cos(phi); return [cosPhi * cos(lambda), cosPhi * sin(lambda), sin(phi)]; } function cartesianDot(a, b) { return a[0] * b[0] + a[1] * b[1] + a[2] * b[2]; } function cartesianCross(a, b) { return [a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], a[0] * b[1] - a[1] * b[0]]; } // TODO return a function cartesianAddInPlace(a, b) { a[0] += b[0], a[1] += b[1], a[2] += b[2]; } function cartesianScale(vector, k) { return [vector[0] * k, vector[1] * k, vector[2] * k]; } // TODO return d function cartesianNormalizeInPlace(d) { var l = sqrt(d[0] * d[0] + d[1] * d[1] + d[2] * d[2]); d[0] /= l, d[1] /= l, d[2] /= l; } var lambda0$1, phi0, lambda1, phi1, // bounds lambda2, // previous lambda-coordinate lambda00$1, phi00$1, // first point p0, // previous 3D point deltaSum = adder(), ranges, range; var boundsStream = { point: boundsPoint, lineStart: boundsLineStart, lineEnd: boundsLineEnd, polygonStart: function() { boundsStream.point = boundsRingPoint; boundsStream.lineStart = boundsRingStart; boundsStream.lineEnd = boundsRingEnd; deltaSum.reset(); areaStream.polygonStart(); }, polygonEnd: function() { areaStream.polygonEnd(); boundsStream.point = boundsPoint; boundsStream.lineStart = boundsLineStart; boundsStream.lineEnd = boundsLineEnd; if (areaRingSum < 0) lambda0$1 = -(lambda1 = 180), phi0 = -(phi1 = 90); else if (deltaSum > epsilon) phi1 = 90; else if (deltaSum < -epsilon) phi0 = -90; range[0] = lambda0$1, range[1] = lambda1; } }; function boundsPoint(lambda, phi) { ranges.push(range = [lambda0$1 = lambda, lambda1 = lambda]); if (phi < phi0) phi0 = phi; if (phi > phi1) phi1 = phi; } function linePoint(lambda, phi) { var p = cartesian([lambda * radians, phi * radians]); if (p0) { var normal = cartesianCross(p0, p), equatorial = [normal[1], -normal[0], 0], inflection = cartesianCross(equatorial, normal); cartesianNormalizeInPlace(inflection); inflection = spherical(inflection); var delta = lambda - lambda2, sign$$1 = delta > 0 ? 1 : -1, lambdai = inflection[0] * degrees * sign$$1, phii, antimeridian = abs(delta) > 180; if (antimeridian ^ (sign$$1 * lambda2 < lambdai && lambdai < sign$$1 * lambda)) { phii = inflection[1] * degrees; if (phii > phi1) phi1 = phii; } else if (lambdai = (lambdai + 360) % 360 - 180, antimeridian ^ (sign$$1 * lambda2 < lambdai && lambdai < sign$$1 * lambda)) { phii = -inflection[1] * degrees; if (phii < phi0) phi0 = phii; } else { if (phi < phi0) phi0 = phi; if (phi > phi1) phi1 = phi; } if (antimeridian) { if (lambda < lambda2) { if (angle(lambda0$1, lambda) > angle(lambda0$1, lambda1)) lambda1 = lambda; } else { if (angle(lambda, lambda1) > angle(lambda0$1, lambda1)) lambda0$1 = lambda; } } else { if (lambda1 >= lambda0$1) { if (lambda < lambda0$1) lambda0$1 = lambda; if (lambda > lambda1) lambda1 = lambda; } else { if (lambda > lambda2) { if (angle(lambda0$1, lambda) > angle(lambda0$1, lambda1)) lambda1 = lambda; } else { if (angle(lambda, lambda1) > angle(lambda0$1, lambda1)) lambda0$1 = lambda; } } } } else { ranges.push(range = [lambda0$1 = lambda, lambda1 = lambda]); } if (phi < phi0) phi0 = phi; if (phi > phi1) phi1 = phi; p0 = p, lambda2 = lambda; } function boundsLineStart() { boundsStream.point = linePoint; } function boundsLineEnd() { range[0] = lambda0$1, range[1] = lambda1; boundsStream.point = boundsPoint; p0 = null; } function boundsRingPoint(lambda, phi) { if (p0) { var delta = lambda - lambda2; deltaSum.add(abs(delta) > 180 ? delta + (delta > 0 ? 360 : -360) : delta); } else { lambda00$1 = lambda, phi00$1 = phi; } areaStream.point(lambda, phi); linePoint(lambda, phi); } function boundsRingStart() { areaStream.lineStart(); } function boundsRingEnd() { boundsRingPoint(lambda00$1, phi00$1); areaStream.lineEnd(); if (abs(deltaSum) > epsilon) lambda0$1 = -(lambda1 = 180); range[0] = lambda0$1, range[1] = lambda1; p0 = null; } // Finds the left-right distance between two longitudes. // This is almost the same as (lambda1 - lambda0 + 360°) % 360°, except that we want // the distance between ±180° to be 360°. function angle(lambda0, lambda1) { return (lambda1 -= lambda0) < 0 ? lambda1 + 360 : lambda1; } function rangeCompare(a, b) { return a[0] - b[0]; } function rangeContains(range, x) { return range[0] <= range[1] ? range[0] <= x && x <= range[1] : x < range[0] || range[1] < x; } function bounds(feature) { var i, n, a, b, merged, deltaMax, delta; phi1 = lambda1 = -(lambda0$1 = phi0 = Infinity); ranges = []; geoStream(feature, boundsStream); // First, sort ranges by their minimum longitudes. if (n = ranges.length) { ranges.sort(rangeCompare); // Then, merge any ranges that overlap. for (i = 1, a = ranges[0], merged = [a]; i < n; ++i) { b = ranges[i]; if (rangeContains(a, b[0]) || rangeContains(a, b[1])) { if (angle(a[0], b[1]) > angle(a[0], a[1])) a[1] = b[1]; if (angle(b[0], a[1]) > angle(a[0], a[1])) a[0] = b[0]; } else { merged.push(a = b); } } // Finally, find the largest gap between the merged ranges. // The final bounding box will be the inverse of this gap. for (deltaMax = -Infinity, n = merged.length - 1, i = 0, a = merged[n]; i <= n; a = b, ++i) { b = merged[i]; if ((delta = angle(a[1], b[0])) > deltaMax) deltaMax = delta, lambda0$1 = b[0], lambda1 = a[1]; } } ranges = range = null; return lambda0$1 === Infinity || phi0 === Infinity ? [[NaN, NaN], [NaN, NaN]] : [[lambda0$1, phi0], [lambda1, phi1]]; } var W0, W1, X0, Y0, Z0, X1, Y1, Z1, X2, Y2, Z2, lambda00$2, phi00$2, // first point x0, y0, z0; // previous point var centroidStream = { sphere: noop, point: centroidPoint, lineStart: centroidLineStart, lineEnd: centroidLineEnd, polygonStart: function() { centroidStream.lineStart = centroidRingStart; centroidStream.lineEnd = centroidRingEnd; }, polygonEnd: function() { centroidStream.lineStart = centroidLineStart; centroidStream.lineEnd = centroidLineEnd; } }; // Arithmetic mean of Cartesian vectors. function centroidPoint(lambda, phi) { lambda *= radians, phi *= radians; var cosPhi = cos(phi); centroidPointCartesian(cosPhi * cos(lambda), cosPhi * sin(lambda), sin(phi)); } function centroidPointCartesian(x, y, z) { ++W0; X0 += (x - X0) / W0; Y0 += (y - Y0) / W0; Z0 += (z - Z0) / W0; } function centroidLineStart() { centroidStream.point = centroidLinePointFirst; } function centroidLinePointFirst(lambda, phi) { lambda *= radians, phi *= radians; var cosPhi = cos(phi); x0 = cosPhi * cos(lambda); y0 = cosPhi * sin(lambda); z0 = sin(phi); centroidStream.point = centroidLinePoint; centroidPointCartesian(x0, y0, z0); } function centroidLinePoint(lambda, phi) { lambda *= radians, phi *= radians; var cosPhi = cos(phi), x = cosPhi * cos(lambda), y = cosPhi * sin(lambda), z = sin(phi), w = atan2(sqrt((w = y0 * z - z0 * y) * w + (w = z0 * x - x0 * z) * w + (w = x0 * y - y0 * x) * w), x0 * x + y0 * y + z0 * z); W1 += w; X1 += w * (x0 + (x0 = x)); Y1 += w * (y0 + (y0 = y)); Z1 += w * (z0 + (z0 = z)); centroidPointCartesian(x0, y0, z0); } function centroidLineEnd() { centroidStream.point = centroidPoint; } // See J. E. Brock, The Inertia Tensor for a Spherical Triangle, // J. Applied Mechanics 42, 239 (1975). function centroidRingStart() { centroidStream.point = centroidRingPointFirst; } function centroidRingEnd() { centroidRingPoint(lambda00$2, phi00$2); centroidStream.point = centroidPoint; } function centroidRingPointFirst(lambda, phi) { lambda00$2 = lambda, phi00$2 = phi; lambda *= radians, phi *= radians; centroidStream.point = centroidRingPoint; var cosPhi = cos(phi); x0 = cosPhi * cos(lambda); y0 = cosPhi * sin(lambda); z0 = sin(phi); centroidPointCartesian(x0, y0, z0); } function centroidRingPoint(lambda, phi) { lambda *= radians, phi *= radians; var cosPhi = cos(phi), x = cosPhi * cos(lambda), y = cosPhi * sin(lambda), z = sin(phi), cx = y0 * z - z0 * y, cy = z0 * x - x0 * z, cz = x0 * y - y0 * x, m = sqrt(cx * cx + cy * cy + cz * cz), w = asin(m), // line weight = angle v = m && -w / m; // area weight multiplier X2 += v * cx; Y2 += v * cy; Z2 += v * cz; W1 += w; X1 += w * (x0 + (x0 = x)); Y1 += w * (y0 + (y0 = y)); Z1 += w * (z0 + (z0 = z)); centroidPointCartesian(x0, y0, z0); } function centroid(object) { W0 = W1 = X0 = Y0 = Z0 = X1 = Y1 = Z1 = X2 = Y2 = Z2 = 0; geoStream(object, centroidStream); var x = X2, y = Y2, z = Z2, m = x * x + y * y + z * z; // If the area-weighted ccentroid is undefined, fall back to length-weighted ccentroid. if (m < epsilon2) { x = X1, y = Y1, z = Z1; // If the feature has zero length, fall back to arithmetic mean of point vectors. if (W1 < epsilon) x = X0, y = Y0, z = Z0; m = x * x + y * y + z * z; // If the feature still has an undefined ccentroid, then return. if (m < epsilon2) return [NaN, NaN]; } return [atan2(y, x) * degrees, asin(z / sqrt(m)) * degrees]; } function constant(x) { return function() { return x; }; } function 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) { return x = b.invert(x, y), x && a.invert(x[0], x[1]); }; return compose; } function rotationIdentity(lambda, phi) { return [lambda > pi ? lambda - tau : lambda < -pi ? lambda + tau : lambda, phi]; } rotationIdentity.invert = rotationIdentity; function rotateRadians(deltaLambda, deltaPhi, deltaGamma) { return (deltaLambda %= tau) ? (deltaPhi || deltaGamma ? compose(rotationLambda(deltaLambda), rotationPhiGamma(deltaPhi, deltaGamma)) : rotationLambda(deltaLambda)) : (deltaPhi || deltaGamma ? rotationPhiGamma(deltaPhi, deltaGamma) : rotationIdentity); } function forwardRotationLambda(deltaLambda) { return function(lambda, phi) { return lambda += deltaLambda, [lambda > pi ? lambda - tau : lambda < -pi ? lambda + tau : lambda, phi]; }; } function rotationLambda(deltaLambda) { var rotation = forwardRotationLambda(deltaLambda); rotation.invert = forwardRotationLambda(-deltaLambda); return rotation; } function rotationPhiGamma(deltaPhi, deltaGamma) { var cosDeltaPhi = cos(deltaPhi), sinDeltaPhi = sin(deltaPhi), cosDeltaGamma = cos(deltaGamma), sinDeltaGamma = sin(deltaGamma); function rotation(lambda, phi) { var cosPhi = cos(phi), x = cos(lambda) * cosPhi, y = sin(lambda) * cosPhi, z = sin(phi), k = z * cosDeltaPhi + x * sinDeltaPhi; return [ atan2(y * cosDeltaGamma - k * sinDeltaGamma, x * cosDeltaPhi - z * sinDeltaPhi), asin(k * cosDeltaGamma + y * sinDeltaGamma) ]; } rotation.invert = function(lambda, phi) { var cosPhi = cos(phi), x = cos(lambda) * cosPhi, y = sin(lambda) * cosPhi, z = sin(phi), k = z * cosDeltaGamma - y * sinDeltaGamma; return [ atan2(y * cosDeltaGamma + z * sinDeltaGamma, x * cosDeltaPhi + k * sinDeltaPhi), asin(k * cosDeltaPhi - x * sinDeltaPhi) ]; }; return rotation; } function rotation(rotate) { rotate = rotateRadians(rotate[0] * radians, rotate[1] * radians, rotate.length > 2 ? rotate[2] * radians : 0); function forward(coordinates) { coordinates = rotate(coordinates[0] * radians, coordinates[1] * radians); return coordinates[0] *= degrees, coordinates[1] *= degrees, coordinates; } forward.invert = function(coordinates) { coordinates = rotate.invert(coordinates[0] * radians, coordinates[1] * radians); return coordinates[0] *= degrees, coordinates[1] *= degrees, coordinates; }; return forward; } // Generates a circle centered at [0°, 0°], with a given radius and precision. function circleStream(stream, radius, delta, direction, t0, t1) { if (!delta) return; var cosRadius = cos(radius), sinRadius = sin(radius), step = direction * delta; if (t0 == null) { t0 = radius + direction * tau; t1 = radius - step / 2; } else { t0 = circleRadius(cosRadius, t0); t1 = circleRadius(cosRadius, t1); if (direction > 0 ? t0 < t1 : t0 > t1) t0 += direction * tau; } for (var point, t = t0; direction > 0 ? t > t1 : t < t1; t -= step) { point = spherical([cosRadius, -sinRadius * cos(t), -sinRadius * sin(t)]); stream.point(point[0], point[1]); } } // Returns the signed angle of a cartesian point relative to [cosRadius, 0, 0]. function circleRadius(cosRadius, point) { point = cartesian(point), point[0] -= cosRadius; cartesianNormalizeInPlace(point); var radius = acos(-point[1]); return ((-point[2] < 0 ? -radius : radius) + tau - epsilon) % tau; } function circle() { var center = constant([0, 0]), radius = constant(90), precision = constant(6), ring, rotate, stream = {point: point}; function point(x, y) { ring.push(x = rotate(x, y)); x[0] *= degrees, x[1] *= degrees; } function circle() { var c = center.apply(this, arguments), r = radius.apply(this, arguments) * radians, p = precision.apply(this, arguments) * radians; ring = []; rotate = rotateRadians(-c[0] * radians, -c[1] * radians, 0).invert; circleStream(stream, r, p, 1); c = {type: "Polygon", coordinates: [ring]}; ring = rotate = null; return c; } circle.center = function(_) { return arguments.length ? (center = typeof _ === "function" ? _ : constant([+_[0], +_[1]]), circle) : center; }; circle.radius = function(_) { return arguments.length ? (radius = typeof _ === "function" ? _ : constant(+_), circle) : radius; }; circle.precision = function(_) { return arguments.length ? (precision = typeof _ === "function" ? _ : constant(+_), circle) : precision; }; return circle; } function clipBuffer() { var lines = [], line; return { point: function(x, y) { line.push([x, y]); }, lineStart: function() { lines.push(line = []); }, lineEnd: noop, rejoin: function() { if (lines.length > 1) lines.push(lines.pop().concat(lines.shift())); }, result: function() { var result = lines; lines = []; line = null; return result; } }; } function pointEqual(a, b) { return abs(a[0] - b[0]) < epsilon && abs(a[1] - b[1]) < epsilon; } function Intersection(point, points, other, entry) { this.x = point; this.z = points; this.o = other; // another intersection this.e = entry; // is an entry? this.v = false; // visited this.n = this.p = null; // next & previous } // A generalized polygon clipping algorithm: given a polygon that has been cut // into its visible line segments, and rejoins the segments by interpolating // along the clip edge. function clipRejoin(segments, compareIntersection, startInside, interpolate, stream) { var subject = [], clip = [], i, n; segments.forEach(function(segment) { if ((n = segment.length - 1) <= 0) return; var n, p0 = segment[0], p1 = segment[n], x; // If the first and last points of a segment are coincident, then treat as a // closed ring. TODO if all rings are closed, then the winding order of the // exterior ring should be checked. if (pointEqual(p0, p1)) { stream.lineStart(); for (i = 0; i < n; ++i) stream.point((p0 = segment[i])[0], p0[1]); stream.lineEnd(); return; } subject.push(x = new Intersection(p0, segment, null, true)); clip.push(x.o = new Intersection(p0, null, x, false)); subject.push(x = new Intersection(p1, segment, null, false)); clip.push(x.o = new Intersection(p1, null, x, true)); }); if (!subject.length) return; clip.sort(compareIntersection); link(subject); link(clip); for (i = 0, n = clip.length; i < n; ++i) { clip[i].e = startInside = !startInside; } var start = subject[0], points, point; while (1) { // Find first unvisited intersection. var current = start, isSubject = true; while (current.v) if ((current = current.n) === start) return; points = current.z; stream.lineStart(); do { current.v = current.o.v = true; if (current.e) { if (isSubject) { for (i = 0, n = points.length; i < n; ++i) stream.point((point = points[i])[0], point[1]); } else { interpolate(current.x, current.n.x, 1, stream); } current = current.n; } else { if (isSubject) { points = current.p.z; for (i = points.length - 1; i >= 0; --i) stream.point((point = points[i])[0], point[1]); } else { interpolate(current.x, current.p.x, -1, stream); } current = current.p; } current = current.o; points = current.z; isSubject = !isSubject; } while (!current.v); stream.lineEnd(); } } function link(array) { if (!(n = array.length)) return; var n, i = 0, a = array[0], b; while (++i < n) { a.n = b = array[i]; b.p = a; a = b; } a.n = b = array[0]; b.p = a; } var sum = adder(); function polygonContains(polygon, point) { var lambda = point[0], phi = point[1], sinPhi = sin(phi), normal = [sin(lambda), -cos(lambda), 0], angle = 0, winding = 0; sum.reset(); if (sinPhi === 1) phi = halfPi + epsilon; else if (sinPhi === -1) phi = -halfPi - epsilon; for (var i = 0, n = polygon.length; i < n; ++i) { if (!(m = (ring = polygon[i]).length)) continue; var ring, m, point0 = ring[m - 1], lambda0 = point0[0], phi0 = point0[1] / 2 + quarterPi, sinPhi0 = sin(phi0), cosPhi0 = cos(phi0); for (var j = 0; j < m; ++j, lambda0 = lambda1, sinPhi0 = sinPhi1, cosPhi0 = cosPhi1, point0 = point1) { var point1 = ring[j], lambda1 = point1[0], phi1 = point1[1] / 2 + quarterPi, sinPhi1 = sin(phi1), cosPhi1 = cos(phi1), delta = lambda1 - lambda0, sign$$1 = delta >= 0 ? 1 : -1, absDelta = sign$$1 * delta, antimeridian = absDelta > pi, k = sinPhi0 * sinPhi1; sum.add(atan2(k * sign$$1 * sin(absDelta), cosPhi0 * cosPhi1 + k * cos(absDelta))); angle += antimeridian ? delta + sign$$1 * tau : delta; // Are the longitudes either side of the point’s meridian (lambda), // and are the latitudes smaller than the parallel (phi)? if (antimeridian ^ lambda0 >= lambda ^ lambda1 >= lambda) { var arc = cartesianCross(cartesian(point0), cartesian(point1)); cartesianNormalizeInPlace(arc); var intersection = cartesianCross(normal, arc); cartesianNormalizeInPlace(intersection); var phiArc = (antimeridian ^ delta >= 0 ? -1 : 1) * asin(intersection[2]); if (phi > phiArc || phi === phiArc && (arc[0] || arc[1])) { winding += antimeridian ^ delta >= 0 ? 1 : -1; } } } } // First, determine whether the South pole is inside or outside: // // It is inside if: // * the polygon winds around it in a clockwise direction. // * the polygon does not (cumulatively) wind around it, but has a negative // (counter-clockwise) area. // // Second, count the (signed) number of times a segment crosses a lambda // from the point to the South pole. If it is zero, then the point is the // same side as the South pole. return (angle < -epsilon || angle < epsilon && sum < -epsilon) ^ (winding & 1); } function clip(pointVisible, clipLine, interpolate, start) { return function(sink) { var line = clipLine(sink), ringBuffer = clipBuffer(), ringSink = clipLine(ringBuffer), polygonStarted = false, polygon, segments, ring; var clip = { point: point, lineStart: lineStart, lineEnd: lineEnd, polygonStart: function() { clip.point = pointRing; clip.lineStart = ringStart; clip.lineEnd = ringEnd; segments = []; polygon = []; }, polygonEnd: function() { clip.point = point; clip.lineStart = lineStart; clip.lineEnd = lineEnd; segments = d3Array.merge(segments); var startInside = polygonContains(polygon, start); if (segments.length) { if (!polygonStarted) sink.polygonStart(), polygonStarted = true; clipRejoin(segments, compareIntersection, startInside, interpolate, sink); } else if (startInside) { if (!polygonStarted) sink.polygonStart(), polygonStarted = true; sink.lineStart(); interpolate(null, null, 1, sink); sink.lineEnd(); } if (polygonStarted) sink.polygonEnd(), polygonStarted = false; segments = polygon = null; }, sphere: function() { sink.polygonStart(); sink.lineStart(); interpolate(null, null, 1, sink); sink.lineEnd(); sink.polygonEnd(); } }; function point(lambda, phi) { if (pointVisible(lambda, phi)) sink.point(lambda, phi); } function pointLine(lambda, phi) { line.point(lambda, phi); } function lineStart() { clip.point = pointLine; line.lineStart(); } function lineEnd() { clip.point = point; line.lineEnd(); } function pointRing(lambda, phi) { ring.push([lambda, phi]); ringSink.point(lambda, phi); } function ringStart() { ringSink.lineStart(); ring = []; } function ringEnd() { pointRing(ring[0][0], ring[0][1]); ringSink.lineEnd(); var clean = ringSink.clean(), ringSegments = ringBuffer.result(), i, n = ringSegments.length, m, segment, point; ring.pop(); polygon.push(ring); ring = null; if (!n) return; // No intersections. if (clean & 1) { segment = ringSegments[0]; if ((m = segment.length - 1) > 0) { if (!polygonStarted) sink.polygonStart(), polygonStarted = true; sink.lineStart(); for (i = 0; i < m; ++i) sink.point((point = segment[i])[0], point[1]); sink.lineEnd(); } return; } // Rejoin connected segments. // TODO reuse ringBuffer.rejoin()? if (n > 1 && clean & 2) ringSegments.push(ringSegments.pop().concat(ringSegments.shift())); segments.push(ringSegments.filter(validSegment)); } return clip; }; } function validSegment(segment) { return segment.length > 1; } // Intersections are sorted along the clip edge. For both antimeridian cutting // and circle clipping, the same comparison is used. function compareIntersection(a, b) { return ((a = a.x)[0] < 0 ? a[1] - halfPi - epsilon : halfPi - a[1]) - ((b = b.x)[0] < 0 ? b[1] - halfPi - epsilon : halfPi - b[1]); } var clipAntimeridian = clip( function() { return true; }, clipAntimeridianLine, clipAntimeridianInterpolate, [-pi, -halfPi] ); // Takes a line and cuts into visible segments. Return values: 0 - there were // intersections or the line was empty; 1 - no intersections; 2 - there were // intersections, and the first and last segments should be rejoined. function clipAntimeridianLine(stream) { var lambda0 = NaN, phi0 = NaN, sign0 = NaN, clean; // no intersections return { lineStart: function() { stream.lineStart(); clean = 1; }, point: function(lambda1, phi1) { var sign1 = lambda1 > 0 ? pi : -pi, delta = abs(lambda1 - lambda0); if (abs(delta - pi) < epsilon) { // line crosses a pole stream.point(lambda0, phi0 = (phi0 + phi1) / 2 > 0 ? halfPi : -halfPi); stream.point(sign0, phi0); stream.lineEnd(); stream.lineStart(); stream.point(sign1, phi0); stream.point(lambda1, phi0); clean = 0; } else if (sign0 !== sign1 && delta >= pi) { // line crosses antimeridian if (abs(lambda0 - sign0) < epsilon) lambda0 -= sign0 * epsilon; // handle degeneracies if (abs(lambda1 - sign1) < epsilon) lambda1 -= sign1 * epsilon; phi0 = clipAntimeridianIntersect(lambda0, phi0, lambda1, phi1); stream.point(sign0, phi0); stream.lineEnd(); stream.lineStart(); stream.point(sign1, phi0); clean = 0; } stream.point(lambda0 = lambda1, phi0 = phi1); sign0 = sign1; }, lineEnd: function() { stream.lineEnd(); lambda0 = phi0 = NaN; }, clean: function() { return 2 - clean; // if intersections, rejoin first and last segments } }; } function clipAntimeridianIntersect(lambda0, phi0, lambda1, phi1) { var cosPhi0, cosPhi1, sinLambda0Lambda1 = sin(lambda0 - lambda1); return abs(sinLambda0Lambda1) > epsilon ? atan((sin(phi0) * (cosPhi1 = cos(phi1)) * sin(lambda1) - sin(phi1) * (cosPhi0 = cos(phi0)) * sin(lambda0)) / (cosPhi0 * cosPhi1 * sinLambda0Lambda1)) : (phi0 + phi1) / 2; } function clipAntimeridianInterpolate(from, to, direction, stream) { var phi; if (from == null) { phi = direction * halfPi; stream.point(-pi, phi); stream.point(0, phi); stream.point(pi, phi); stream.point(pi, 0); stream.point(pi, -phi); stream.point(0, -phi); stream.point(-pi, -phi); stream.point(-pi, 0); stream.point(-pi, phi); } else if (abs(from[0] - to[0]) > epsilon) { var lambda = from[0] < to[0] ? pi : -pi; phi = direction * lambda / 2; stream.point(-lambda, phi); stream.point(0, phi); stream.point(lambda, phi); } else { stream.point(to[0], to[1]); } } function clipCircle(radius) { var cr = cos(radius), delta = 6 * radians, smallRadius = cr > 0, notHemisphere = abs(cr) > epsilon; // TODO optimise for this common case function interpolate(from, to, direction, stream) { circleStream(stream, radius, delta, direction, from, to); } function visible(lambda, phi) { return cos(lambda) * cos(phi) > cr; } // Takes a line and cuts into visible segments. Return values used for polygon // clipping: 0 - there were intersections or the line was empty; 1 - no // intersections 2 - there were intersections, and the first and last segments // should be rejoined. function clipLine(stream) { var point0, // previous point c0, // code for previous point v0, // visibility of previous point v00, // visibility of first point clean; // no intersections return { lineStart: function() { v00 = v0 = false; clean = 1; }, point: function(lambda, phi) { var point1 = [lambda, phi], point2, v = visible(lambda, phi), c = smallRadius ? v ? 0 : code(lambda, phi) : v ? code(lambda + (lambda < 0 ? pi : -pi), phi) : 0; if (!point0 && (v00 = v0 = v)) stream.lineStart(); // Handle degeneracies. // TODO ignore if not clipping polygons. if (v !== v0) { point2 = intersect(point0, point1); if (!point2 || pointEqual(point0, point2) || pointEqual(point1, point2)) { point1[0] += epsilon; point1[1] += epsilon; v = visible(point1[0], point1[1]); } } if (v !== v0) { clean = 0; if (v) { // outside going in stream.lineStart(); point2 = intersect(point1, point0); stream.point(point2[0], point2[1]); } else { // inside going out point2 = intersect(point0, point1); stream.point(point2[0], point2[1]); stream.lineEnd(); } point0 = point2; } else if (notHemisphere && point0 && smallRadius ^ v) { var t; // If the codes for two points are different, or are both zero, // and there this segment intersects with the small circle. if (!(c & c0) && (t = intersect(point1, point0, true))) { clean = 0; if (smallRadius) { stream.lineStart(); stream.point(t[0][0], t[0][1]); stream.point(t[1][0], t[1][1]); stream.lineEnd(); } else { stream.point(t[1][0], t[1][1]); stream.lineEnd(); stream.lineStart(); stream.point(t[0][0], t[0][1]); } } } if (v && (!point0 || !pointEqual(point0, point1))) { stream.point(point1[0], point1[1]); } point0 = point1, v0 = v, c0 = c; }, lineEnd: function() { if (v0) stream.lineEnd(); point0 = null; }, // Rejoin first and last segments if there were intersections and the first // and last points were visible. clean: function() { return clean | ((v00 && v0) << 1); } }; } // Intersects the great circle between a and b with the clip circle. function intersect(a, b, two) { var pa = cartesian(a), pb = cartesian(b); // We have two planes, n1.p = d1 and n2.p = d2. // Find intersection line p(t) = c1 n1 + c2 n2 + t (n1 ⨯ n2). var n1 = [1, 0, 0], // normal n2 = cartesianCross(pa, pb), n2n2 = cartesianDot(n2, n2), n1n2 = n2[0], // cartesianDot(n1, n2), determinant = n2n2 - n1n2 * n1n2; // Two polar points. if (!determinant) return !two && a; var c1 = cr * n2n2 / determinant, c2 = -cr * n1n2 / determinant, n1xn2 = cartesianCross(n1, n2), A = cartesianScale(n1, c1), B = cartesianScale(n2, c2); cartesianAddInPlace(A, B); // Solve |p(t)|^2 = 1. var u = n1xn2, w = cartesianDot(A, u), uu = cartesianDot(u, u), t2 = w * w - uu * (cartesianDot(A, A) - 1); if (t2 < 0) return; var t = sqrt(t2), q = cartesianScale(u, (-w - t) / uu); cartesianAddInPlace(q, A); q = spherical(q); if (!two) return q; // Two intersection points. var lambda0 = a[0], lambda1 = b[0], phi0 = a[1], phi1 = b[1], z; if (lambda1 < lambda0) z = lambda0, lambda0 = lambda1, lambda1 = z; var delta = lambda1 - lambda0, polar = abs(delta - pi) < epsilon, meridian = polar || delta < epsilon; if (!polar && phi1 < phi0) z = phi0, phi0 = phi1, phi1 = z; // Check that the first point is between a and b. if (meridian ? polar ? phi0 + phi1 > 0 ^ q[1] < (abs(q[0] - lambda0) < epsilon ? phi0 : phi1) : phi0 <= q[1] && q[1] <= phi1 : delta > pi ^ (lambda0 <= q[0] && q[0] <= lambda1)) { var q1 = cartesianScale(u, (-w + t) / uu); cartesianAddInPlace(q1, A); return [q, spherical(q1)]; } } // Generates a 4-bit vector representing the location of a point relative to // the small circle's bounding box. function code(lambda, phi) { var r = smallRadius ? radius : pi - radius, code = 0; if (lambda < -r) code |= 1; // left else if (lambda > r) code |= 2; // right if (phi < -r) code |= 4; // below else if (phi > r) code |= 8; // above return code; } return clip(visible, clipLine, interpolate, smallRadius ? [0, -radius] : [-pi, radius - pi]); } function clipLine(a, b, x0, y0, x1, y1) { var ax = a[0], ay = a[1], bx = b[0], by = b[1], 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) a[0] = ax + t0 * dx, a[1] = ay + t0 * dy; if (t1 < 1) b[0] = ax + t1 * dx, b[1] = ay + t1 * dy; return true; } var clipMax = 1e9, clipMin = -clipMax; // TODO Use d3-polygon’s polygonContains here for the ring check? // TODO Eliminate duplicate buffering in clipBuffer and polygon.push? function clipRectangle(x0, y0, x1, y1) { function visible(x, y) { return x0 <= x && x <= x1 && y0 <= y && y <= y1; } function interpolate(from, to, direction, stream) { var a = 0, a1 = 0; if (from == null || (a = corner(from, direction)) !== (a1 = corner(to, direction)) || comparePoint(from, to) < 0 ^ direction > 0) { do stream.point(a === 0 || a === 3 ? x0 : x1, a > 1 ? y1 : y0); while ((a = (a + direction + 4) % 4) !== a1); } else { stream.point(to[0], to[1]); } } function corner(p, direction) { return abs(p[0] - x0) < epsilon ? direction > 0 ? 0 : 3 : abs(p[0] - x1) < epsilon ? direction > 0 ? 2 : 1 : abs(p[1] - y0) < epsilon ? direction > 0 ? 1 : 0 : direction > 0 ? 3 : 2; // abs(p[1] - y1) < epsilon } function compareIntersection(a, b) { return comparePoint(a.x, b.x); } function comparePoint(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]; } return function(stream) { var activeStream = stream, bufferStream = clipBuffer(), segments, polygon, ring, x__, y__, v__, // first point x_, y_, v_, // previous point first, clean; var clipStream = { point: point, lineStart: lineStart, lineEnd: lineEnd, polygonStart: polygonStart, polygonEnd: polygonEnd }; function point(x, y) { if (visible(x, y)) activeStream.point(x, y); } function polygonInside() { var winding = 0; for (var i = 0, n = polygon.length; i < n; ++i) { for (var ring = polygon[i], j = 1, m = ring.length, point = ring[0], a0, a1, b0 = point[0], b1 = point[1]; j < m; ++j) { a0 = b0, a1 = b1, point = ring[j], b0 = point[0], b1 = point[1]; if (a1 <= y1) { if (b1 > y1 && (b0 - a0) * (y1 - a1) > (b1 - a1) * (x0 - a0)) ++winding; } else { if (b1 <= y1 && (b0 - a0) * (y1 - a1) < (b1 - a1) * (x0 - a0)) --winding; } } } return winding; } // Buffer geometry within a polygon and then clip it en masse. function polygonStart() { activeStream = bufferStream, segments = [], polygon = [], clean = true; } function polygonEnd() { var startInside = polygonInside(), cleanInside = clean && startInside, visible = (segments = d3Array.merge(segments)).length; if (cleanInside || visible) { stream.polygonStart(); if (cleanInside) { stream.lineStart(); interpolate(null, null, 1, stream); stream.lineEnd(); } if (visible) { clipRejoin(segments, compareIntersection, startInside, interpolate, stream); } stream.polygonEnd(); } activeStream = stream, segments = polygon = ring = null; } function lineStart() { clipStream.point = linePoint; if (polygon) polygon.push(ring = []); first = true; v_ = false; x_ = y_ = NaN; } // TODO rather than special-case polygons, simply handle them separately. // Ideally, coincident intersection points should be jittered to avoid // clipping issues. function lineEnd() { if (segments) { linePoint(x__, y__); if (v__ && v_) bufferStream.rejoin(); segments.push(bufferStream.result()); } clipStream.point = point; if (v_) activeStream.lineEnd(); } function linePoint(x, y) { var v = visible(x, y); if (polygon) ring.push([x, y]); if (first) { x__ = x, y__ = y, v__ = v; first = false; if (v) { activeStream.lineStart(); activeStream.point(x, y); } } else { if (v && v_) activeStream.point(x, y); else { var a = [x_ = Math.max(clipMin, Math.min(clipMax, x_)), y_ = Math.max(clipMin, Math.min(clipMax, y_))], b = [x = Math.max(clipMin, Math.min(clipMax, x)), y = Math.max(clipMin, Math.min(clipMax, y))]; if (clipLine(a, b, x0, y0, x1, y1)) { if (!v_) { activeStream.lineStart(); activeStream.point(a[0], a[1]); } activeStream.point(b[0], b[1]); if (!v) activeStream.lineEnd(); clean = false; } else if (v) { activeStream.lineStart(); activeStream.point(x, y); clean = false; } } } x_ = x, y_ = y, v_ = v; } return clipStream; }; } function extent() { var x0 = 0, y0 = 0, x1 = 960, y1 = 500, cache, cacheStream, clip; return clip = { stream: function(stream) { return cache && cacheStream === stream ? cache : cache = clipRectangle(x0, y0, x1, y1)(cacheStream = stream); }, extent: function(_) { return arguments.length ? (x0 = +_[0][0], y0 = +_[0][1], x1 = +_[1][0], y1 = +_[1][1], cache = cacheStream = null, clip) : [[x0, y0], [x1, y1]]; } }; } var lengthSum = adder(), lambda0$2, sinPhi0$1, cosPhi0$1; var lengthStream = { sphere: noop, point: noop, lineStart: lengthLineStart, lineEnd: noop, polygonStart: noop, polygonEnd: noop }; function lengthLineStart() { lengthStream.point = lengthPointFirst; lengthStream.lineEnd = lengthLineEnd; } function lengthLineEnd() { lengthStream.point = lengthStream.lineEnd = noop; } function lengthPointFirst(lambda, phi) { lambda *= radians, phi *= radians; lambda0$2 = lambda, sinPhi0$1 = sin(phi), cosPhi0$1 = cos(phi); lengthStream.point = lengthPoint; } function lengthPoint(lambda, phi) { lambda *= radians, phi *= radians; var sinPhi = sin(phi), cosPhi = cos(phi), delta = abs(lambda - lambda0$2), cosDelta = cos(delta), sinDelta = sin(delta), x = cosPhi * sinDelta, y = cosPhi0$1 * sinPhi - sinPhi0$1 * cosPhi * cosDelta, z = sinPhi0$1 * sinPhi + cosPhi0$1 * cosPhi * cosDelta; lengthSum.add(atan2(sqrt(x * x + y * y), z)); lambda0$2 = lambda, sinPhi0$1 = sinPhi, cosPhi0$1 = cosPhi; } function length(object) { lengthSum.reset(); geoStream(object, lengthStream); return +lengthSum; } var coordinates = [null, null], object = {type: "LineString", coordinates: coordinates}; function distance(a, b) { coordinates[0] = a; coordinates[1] = b; return length(object); } var containsObjectType = { Feature: function(object, point) { return containsGeometry(object.geometry, point); }, FeatureCollection: function(object, point) { var features = object.features, i = -1, n = features.length; while (++i < n) if (containsGeometry(features[i].geometry, point)) return true; return false; } }; var containsGeometryType = { Sphere: function() { return true; }, Point: function(object, point) { return containsPoint(object.coordinates, point); }, MultiPoint: function(object, point) { var coordinates = object.coordinates, i = -1, n = coordinates.length; while (++i < n) if (containsPoint(coordinates[i], point)) return true; return false; }, LineString: function(object, point) { return containsLine(object.coordinates, point); }, MultiLineString: function(object, point) { var coordinates = object.coordinates, i = -1, n = coordinates.length; while (++i < n) if (containsLine(coordinates[i], point)) return true; return false; }, Polygon: function(object, point) { return containsPolygon(object.coordinates, point); }, MultiPolygon: function(object, point) { var coordinates = object.coordinates, i = -1, n = coordinates.length; while (++i < n) if (containsPolygon(coordinates[i], point)) return true; return false; }, GeometryCollection: function(object, point) { var geometries = object.geometries, i = -1, n = geometries.length; while (++i < n) if (containsGeometry(geometries[i], point)) return true; return false; } }; function containsGeometry(geometry, point) { return geometry && containsGeometryType.hasOwnProperty(geometry.type) ? containsGeometryType[geometry.type](geometry, point) : false; } function containsPoint(coordinates, point) { return distance(coordinates, point) === 0; } function containsLine(coordinates, point) { var ab = distance(coordinates[0], coordinates[1]), ao = distance(coordinates[0], point), ob = distance(point, coordinates[1]); return ao + ob <= ab + epsilon; } function containsPolygon(coordinates, point) { return !!polygonContains(coordinates.map(ringRadians), pointRadians(point)); } function ringRadians(ring) { return ring = ring.map(pointRadians), ring.pop(), ring; } function pointRadians(point) { return [point[0] * radians, point[1] * radians]; } function contains(object, point) { return (object && containsObjectType.hasOwnProperty(object.type) ? containsObjectType[object.type] : containsGeometry)(object, point); } function graticuleX(y0, y1, dy) { var y = d3Array.range(y0, y1 - epsilon, dy).concat(y1); return function(x) { return y.map(function(y) { return [x, y]; }); }; } function graticuleY(x0, x1, dx) { var x = d3Array.range(x0, x1 - epsilon, dx).concat(x1); return function(y) { return x.map(function(x) { return [x, y]; }); }; } function graticule() { var x1, x0, X1, X0, y1, y0, Y1, Y0, dx = 10, dy = dx, DX = 90, DY = 360, x, y, X, Y, precision = 2.5; function graticule() { return {type: "MultiLineString", coordinates: lines()}; } function lines() { return d3Array.range(ceil(X0 / DX) * DX, X1, DX).map(X) .concat(d3Array.range(ceil(Y0 / DY) * DY, Y1, DY).map(Y)) .concat(d3Array.range(ceil(x0 / dx) * dx, x1, dx).filter(function(x) { return abs(x % DX) > epsilon; }).map(x)) .concat(d3Array.range(ceil(y0 / dy) * dy, y1, dy).filter(function(y) { return abs(y % DY) > epsilon; }).map(y)); } graticule.lines = function() { return lines().map(function(coordinates) { return {type: "LineString", coordinates: coordinates}; }); }; graticule.outline = function() { return { type: "Polygon", coordinates: [ X(X0).concat( Y(Y1).slice(1), X(X1).reverse().slice(1), Y(Y0).reverse().slice(1)) ] }; }; graticule.extent = function(_) { if (!arguments.length) return graticule.extentMinor(); return graticule.extentMajor(_).extentMinor(_); }; graticule.extentMajor = function(_) { if (!arguments.length) return [[X0, Y0], [X1, Y1]]; X0 = +_[0][0], X1 = +_[1][0]; Y0 = +_[0][1], Y1 = +_[1][1]; if (X0 > X1) _ = X0, X0 = X1, X1 = _; if (Y0 > Y1) _ = Y0, Y0 = Y1, Y1 = _; return graticule.precision(precision); }; graticule.extentMinor = function(_) { if (!arguments.length) return [[x0, y0], [x1, y1]]; x0 = +_[0][0], x1 = +_[1][0]; y0 = +_[0][1], y1 = +_[1][1]; if (x0 > x1) _ = x0, x0 = x1, x1 = _; if (y0 > y1) _ = y0, y0 = y1, y1 = _; return graticule.precision(precision); }; graticule.step = function(_) { if (!arguments.length) return graticule.stepMinor(); return graticule.stepMajor(_).stepMinor(_); }; graticule.stepMajor = function(_) { if (!arguments.length) return [DX, DY]; DX = +_[0], DY = +_[1]; return graticule; }; graticule.stepMinor = function(_) { if (!arguments.length) return [dx, dy]; dx = +_[0], dy = +_[1]; return graticule; }; graticule.precision = function(_) { if (!arguments.length) return precision; precision = +_; x = graticuleX(y0, y1, 90); y = graticuleY(x0, x1, precision); X = graticuleX(Y0, Y1, 90); Y = graticuleY(X0, X1, precision); return graticule; }; return graticule .extentMajor([[-180, -90 + epsilon], [180, 90 - epsilon]]) .extentMinor([[-180, -80 - epsilon], [180, 80 + epsilon]]); } function graticule10() { return graticule()(); } function interpolate(a, b) { var x0 = a[0] * radians, y0 = a[1] * radians, x1 = b[0] * radians, y1 = b[1] * radians, cy0 = cos(y0), sy0 = sin(y0), cy1 = cos(y1), sy1 = sin(y1), kx0 = cy0 * cos(x0), ky0 = cy0 * sin(x0), kx1 = cy1 * cos(x1), ky1 = cy1 * sin(x1), d = 2 * asin(sqrt(haversin(y1 - y0) + cy0 * cy1 * haversin(x1 - x0))), k = sin(d); var interpolate = d ? function(t) { var B = sin(t *= d) / k, A = sin(d - t) / k, x = A * kx0 + B * kx1, y = A * ky0 + B * ky1, z = A * sy0 + B * sy1; return [ atan2(y, x) * degrees, atan2(z, sqrt(x * x + y * y)) * degrees ]; } : function() { return [x0 * degrees, y0 * degrees]; }; interpolate.distance = d; return interpolate; } function identity(x) { return x; } var areaSum$1 = adder(), areaRingSum$1 = adder(), x00, y00, x0$1, y0$1; var areaStream$1 = { point: noop, lineStart: noop, lineEnd: noop, polygonStart: function() { areaStream$1.lineStart = areaRingStart$1; areaStream$1.lineEnd = areaRingEnd$1; }, polygonEnd: function() { areaStream$1.lineStart = areaStream$1.lineEnd = areaStream$1.point = noop; areaSum$1.add(abs(areaRingSum$1)); areaRingSum$1.reset(); }, result: function() { var area = areaSum$1 / 2; areaSum$1.reset(); return area; } }; function areaRingStart$1() { areaStream$1.point = areaPointFirst$1; } function areaPointFirst$1(x, y) { areaStream$1.point = areaPoint$1; x00 = x0$1 = x, y00 = y0$1 = y; } function areaPoint$1(x, y) { areaRingSum$1.add(y0$1 * x - x0$1 * y); x0$1 = x, y0$1 = y; } function areaRingEnd$1() { areaPoint$1(x00, y00); } var x0$2 = Infinity, y0$2 = x0$2, x1 = -x0$2, y1 = x1; var boundsStream$1 = { point: boundsPoint$1, lineStart: noop, lineEnd: noop, polygonStart: noop, polygonEnd: noop, result: function() { var bounds = [[x0$2, y0$2], [x1, y1]]; x1 = y1 = -(y0$2 = x0$2 = Infinity); return bounds; } }; function boundsPoint$1(x, y) { if (x < x0$2) x0$2 = x; if (x > x1) x1 = x; if (y < y0$2) y0$2 = y; if (y > y1) y1 = y; } // TODO Enforce positive area for exterior, negative area for interior? var X0$1 = 0, Y0$1 = 0, Z0$1 = 0, X1$1 = 0, Y1$1 = 0, Z1$1 = 0, X2$1 = 0, Y2$1 = 0, Z2$1 = 0, x00$1, y00$1, x0$3, y0$3; var centroidStream$1 = { point: centroidPoint$1, lineStart: centroidLineStart$1, lineEnd: centroidLineEnd$1, polygonStart: function() { centroidStream$1.lineStart = centroidRingStart$1; centroidStream$1.lineEnd = centroidRingEnd$1; }, polygonEnd: function() { centroidStream$1.point = centroidPoint$1; centroidStream$1.lineStart = centroidLineStart$1; centroidStream$1.lineEnd = centroidLineEnd$1; }, result: function() { var centroid = Z2$1 ? [X2$1 / Z2$1, Y2$1 / Z2$1] : Z1$1 ? [X1$1 / Z1$1, Y1$1 / Z1$1] : Z0$1 ? [X0$1 / Z0$1, Y0$1 / Z0$1] : [NaN, NaN]; X0$1 = Y0$1 = Z0$1 = X1$1 = Y1$1 = Z1$1 = X2$1 = Y2$1 = Z2$1 = 0; return centroid; } }; function centroidPoint$1(x, y) { X0$1 += x; Y0$1 += y; ++Z0$1; } function centroidLineStart$1() { centroidStream$1.point = centroidPointFirstLine; } function centroidPointFirstLine(x, y) { centroidStream$1.point = centroidPointLine; centroidPoint$1(x0$3 = x, y0$3 = y); } function centroidPointLine(x, y) { var dx = x - x0$3, dy = y - y0$3, z = sqrt(dx * dx + dy * dy); X1$1 += z * (x0$3 + x) / 2; Y1$1 += z * (y0$3 + y) / 2; Z1$1 += z; centroidPoint$1(x0$3 = x, y0$3 = y); } function centroidLineEnd$1() { centroidStream$1.point = centroidPoint$1; } function centroidRingStart$1() { centroidStream$1.point = centroidPointFirstRing; } function centroidRingEnd$1() { centroidPointRing(x00$1, y00$1); } function centroidPointFirstRing(x, y) { centroidStream$1.point = centroidPointRing; centroidPoint$1(x00$1 = x0$3 = x, y00$1 = y0$3 = y); } function centroidPointRing(x, y) { var dx = x - x0$3, dy = y - y0$3, z = sqrt(dx * dx + dy * dy); X1$1 += z * (x0$3 + x) / 2; Y1$1 += z * (y0$3 + y) / 2; Z1$1 += z; z = y0$3 * x - x0$3 * y; X2$1 += z * (x0$3 + x); Y2$1 += z * (y0$3 + y); Z2$1 += z * 3; centroidPoint$1(x0$3 = x, y0$3 = y); } function PathContext(context) { this._context = context; } PathContext.prototype = { _radius: 4.5, pointRadius: function(_) { return this._radius = _, this; }, polygonStart: function() { this._line = 0; }, polygonEnd: function() { this._line = NaN; }, lineStart: function() { this._point = 0; }, lineEnd: function() { if (this._line === 0) this._context.closePath(); this._point = NaN; }, point: function(x, y) { switch (this._point) { case 0: { this._context.moveTo(x, y); this._point = 1; break; } case 1: { this._context.lineTo(x, y); break; } default: { this._context.moveTo(x + this._radius, y); this._context.arc(x, y, this._radius, 0, tau); break; } } }, result: noop }; var lengthSum$1 = adder(), lengthRing, x00$2, y00$2, x0$4, y0$4; var lengthStream$1 = { point: noop, lineStart: function() { lengthStream$1.point = lengthPointFirst$1; }, lineEnd: function() { if (lengthRing) lengthPoint$1(x00$2, y00$2); lengthStream$1.point = noop; }, polygonStart: function() { lengthRing = true; }, polygonEnd: function() { lengthRing = null; }, result: function() { var length = +lengthSum$1; lengthSum$1.reset(); return length; } }; function lengthPointFirst$1(x, y) { lengthStream$1.point = lengthPoint$1; x00$2 = x0$4 = x, y00$2 = y0$4 = y; } function lengthPoint$1(x, y) { x0$4 -= x, y0$4 -= y; lengthSum$1.add(sqrt(x0$4 * x0$4 + y0$4 * y0$4)); x0$4 = x, y0$4 = y; } function PathString() { this._string = []; } PathString.prototype = { _radius: 4.5, _circle: circle$1(4.5), pointRadius: function(_) { if ((_ = +_) !== this._radius) this._radius = _, this._circle = null; return this; }, polygonStart: function() { this._line = 0; }, polygonEnd: function() { this._line = NaN; }, lineStart: function() { this._point = 0; }, lineEnd: function() { if (this._line === 0) this._string.push("Z"); this._point = NaN; }, point: function(x, y) { switch (this._point) { case 0: { this._string.push("M", x, ",", y); this._point = 1; break; } case 1: { this._string.push("L", x, ",", y); break; } default: { if (this._circle == null) this._circle = circle$1(this._radius); this._string.push("M", x, ",", y, this._circle); break; } } }, result: function() { if (this._string.length) { var result = this._string.join(""); this._string = []; return result; } else { return null; } } }; function circle$1(radius) { return "m0," + radius + "a" + radius + "," + radius + " 0 1,1 0," + -2 * radius + "a" + radius + "," + radius + " 0 1,1 0," + 2 * radius + "z"; } function index(projection, context) { var pointRadius = 4.5, projectionStream, contextStream; function path(object) { if (object) { if (typeof pointRadius === "function") contextStream.pointRadius(+pointRadius.apply(this, arguments)); geoStream(object, projectionStream(contextStream)); } return contextStream.result(); } path.area = function(object) { geoStream(object, projectionStream(areaStream$1)); return areaStream$1.result(); }; path.measure = function(object) { geoStream(object, projectionStream(lengthStream$1)); return lengthStream$1.result(); }; path.bounds = function(object) { geoStream(object, projectionStream(boundsStream$1)); return boundsStream$1.result(); }; path.centroid = function(object) { geoStream(object, projectionStream(centroidStream$1)); return centroidStream$1.result(); }; path.projection = function(_) { return arguments.length ? (projectionStream = _ == null ? (projection = null, identity) : (projection = _).stream, path) : projection; }; path.context = function(_) { if (!arguments.length) return context; contextStream = _ == null ? (context = null, new PathString) : new PathContext(context = _); if (typeof pointRadius !== "function") contextStream.pointRadius(pointRadius); return path; }; path.pointRadius = function(_) { if (!arguments.length) return pointRadius; pointRadius = typeof _ === "function" ? _ : (contextStream.pointRadius(+_), +_); return path; }; return path.projection(projection).context(context); } function transform(methods) { return { stream: transformer(methods) }; } function transformer(methods) { return function(stream) { var s = new TransformStream; for (var key in methods) s[key] = methods[key]; s.stream = stream; return s; }; } function TransformStream() {} TransformStream.prototype = { constructor: TransformStream, point: function(x, y) { this.stream.point(x, y); }, sphere: function() { this.stream.sphere(); }, lineStart: function() { this.stream.lineStart(); }, lineEnd: function() { this.stream.lineEnd(); }, polygonStart: function() { this.stream.polygonStart(); }, polygonEnd: function() { this.stream.polygonEnd(); } }; function fit(projection, fitBounds, object) { var clip = projection.clipExtent && projection.clipExtent(); projection.scale(150).translate([0, 0]); if (clip != null) projection.clipExtent(null); geoStream(object, projection.stream(boundsStream$1)); fitBounds(boundsStream$1.result()); if (clip != null) projection.clipExtent(clip); return projection; } function fitExtent(projection, extent, object) { return fit(projection, function(b) { var w = extent[1][0] - extent[0][0], h = extent[1][1] - extent[0][1], k = Math.min(w / (b[1][0] - b[0][0]), h / (b[1][1] - b[0][1])), x = +extent[0][0] + (w - k * (b[1][0] + b[0][0])) / 2, y = +extent[0][1] + (h - k * (b[1][1] + b[0][1])) / 2; projection.scale(150 * k).translate([x, y]); }, object); } function fitSize(projection, size, object) { return fitExtent(projection, [[0, 0], size], object); } function fitWidth(projection, width, object) { return fit(projection, function(b) { var w = +width, k = w / (b[1][0] - b[0][0]), x = (w - k * (b[1][0] + b[0][0])) / 2, y = -k * b[0][1]; projection.scale(150 * k).translate([x, y]); }, object); } function fitHeight(projection, height, object) { return fit(projection, function(b) { var h = +height, k = h / (b[1][1] - b[0][1]), x = -k * b[0][0], y = (h - k * (b[1][1] + b[0][1])) / 2; projection.scale(150 * k).translate([x, y]); }, object); } var maxDepth = 16, // maximum depth of subdivision cosMinDistance = cos(30 * radians); // cos(minimum angular distance) function resample(project, delta2) { return +delta2 ? resample$1(project, delta2) : resampleNone(project); } function resampleNone(project) { return transformer({ point: function(x, y) { x = project(x, y); this.stream.point(x[0], x[1]); } }); } function resample$1(project, delta2) { function resampleLineTo(x0, y0, lambda0, a0, b0, c0, x1, y1, lambda1, a1, b1, c1, depth, stream) { var dx = x1 - x0, dy = y1 - y0, d2 = dx * dx + dy * dy; if (d2 > 4 * delta2 && depth--) { var a = a0 + a1, b = b0 + b1, c = c0 + c1, m = sqrt(a * a + b * b + c * c), phi2 = asin(c /= m), lambda2 = abs(abs(c) - 1) < epsilon || abs(lambda0 - lambda1) < epsilon ? (lambda0 + lambda1) / 2 : atan2(b, a), p = project(lambda2, phi2), x2 = p[0], y2 = p[1], dx2 = x2 - x0, dy2 = y2 - y0, dz = dy * dx2 - dx * dy2; if (dz * dz / d2 > delta2 // perpendicular projected distance || abs((dx * dx2 + dy * dy2) / d2 - 0.5) > 0.3 // midpoint close to an end || a0 * a1 + b0 * b1 + c0 * c1 < cosMinDistance) { // angular distance resampleLineTo(x0, y0, lambda0, a0, b0, c0, x2, y2, lambda2, a /= m, b /= m, c, depth, stream); stream.point(x2, y2); resampleLineTo(x2, y2, lambda2, a, b, c, x1, y1, lambda1, a1, b1, c1, depth, stream); } } } return function(stream) { var lambda00, x00, y00, a00, b00, c00, // first point lambda0, x0, y0, a0, b0, c0; // previous point var resampleStream = { point: point, lineStart: lineStart, lineEnd: lineEnd, polygonStart: function() { stream.polygonStart(); resampleStream.lineStart = ringStart; }, polygonEnd: function() { stream.polygonEnd(); resampleStream.lineStart = lineStart; } }; function point(x, y) { x = project(x, y); stream.point(x[0], x[1]); } function lineStart() { x0 = NaN; resampleStream.point = linePoint; stream.lineStart(); } function linePoint(lambda, phi) { var c = cartesian([lambda, phi]), p = project(lambda, phi); resampleLineTo(x0, y0, lambda0, a0, b0, c0, x0 = p[0], y0 = p[1], lambda0 = lambda, a0 = c[0], b0 = c[1], c0 = c[2], maxDepth, stream); stream.point(x0, y0); } function lineEnd() { resampleStream.point = point; stream.lineEnd(); } function ringStart() { lineStart(); resampleStream.point = ringPoint; resampleStream.lineEnd = ringEnd; } function ringPoint(lambda, phi) { linePoint(lambda00 = lambda, phi), x00 = x0, y00 = y0, a00 = a0, b00 = b0, c00 = c0; resampleStream.point = linePoint; } function ringEnd() { resampleLineTo(x0, y0, lambda0, a0, b0, c0, x00, y00, lambda00, a00, b00, c00, maxDepth, stream); resampleStream.lineEnd = lineEnd; lineEnd(); } return resampleStream; }; } var transformRadians = transformer({ point: function(x, y) { this.stream.point(x * radians, y * radians); } }); function transformRotate(rotate) { return transformer({ point: function(x, y) { var r = rotate(x, y); return this.stream.point(r[0], r[1]); } }); } function scaleTranslate(k, dx, dy) { function transform$$1(x, y) { return [dx + k * x, dy - k * y]; } transform$$1.invert = function(x, y) { return [(x - dx) / k, (dy - y) / k]; }; return transform$$1; } function scaleTranslateRotate(k, dx, dy, alpha) { var cosAlpha = cos(alpha), sinAlpha = sin(alpha), a = cosAlpha * k, b = sinAlpha * k, ai = cosAlpha / k, bi = sinAlpha / k, ci = (sinAlpha * dy - cosAlpha * dx) / k, fi = (sinAlpha * dx + cosAlpha * dy) / k; function transform$$1(x, y) { return [a * x - b * y + dx, dy - b * x - a * y]; } transform$$1.invert = function(x, y) { return [ai * x - bi * y + ci, fi - bi * x - ai * y]; }; return transform$$1; } function projection(project) { return projectionMutator(function() { return project; })(); } function projectionMutator(projectAt) { var project, k = 150, // scale x = 480, y = 250, // translate lambda = 0, phi = 0, // center deltaLambda = 0, deltaPhi = 0, deltaGamma = 0, rotate, // pre-rotate alpha = 0, // post-rotate theta = null, preclip = clipAntimeridian, // pre-clip angle x0 = null, y0, x1, y1, postclip = identity, // post-clip extent delta2 = 0.5, // precision projectResample, projectTransform, projectRotateTransform, cache, cacheStream; function projection(point) { return projectRotateTransform(point[0] * radians, point[1] * radians); } function invert(point) { point = projectRotateTransform.invert(point[0], point[1]); return point && [point[0] * degrees, point[1] * degrees]; } projection.stream = function(stream) { return cache && cacheStream === stream ? cache : cache = transformRadians(transformRotate(rotate)(preclip(projectResample(postclip(cacheStream = stream))))); }; projection.preclip = function(_) { return arguments.length ? (preclip = _, theta = undefined, reset()) : preclip; }; projection.postclip = function(_) { return arguments.length ? (postclip = _, x0 = y0 = x1 = y1 = null, reset()) : postclip; }; projection.clipAngle = function(_) { return arguments.length ? (preclip = +_ ? clipCircle(theta = _ * radians) : (theta = null, clipAntimeridian), reset()) : theta * degrees; }; projection.clipExtent = function(_) { return arguments.length ? (postclip = _ == null ? (x0 = y0 = x1 = y1 = null, identity) : clipRectangle(x0 = +_[0][0], y0 = +_[0][1], x1 = +_[1][0], y1 = +_[1][1]), reset()) : x0 == null ? null : [[x0, y0], [x1, y1]]; }; projection.scale = function(_) { return arguments.length ? (k = +_, recenter()) : k; }; projection.translate = function(_) { return arguments.length ? (x = +_[0], y = +_[1], recenter()) : [x, y]; }; projection.center = function(_) { return arguments.length ? (lambda = _[0] % 360 * radians, phi = _[1] % 360 * radians, recenter()) : [lambda * degrees, phi * degrees]; }; projection.rotate = function(_) { return arguments.length ? (deltaLambda = _[0] % 360 * radians, deltaPhi = _[1] % 360 * radians, deltaGamma = _.length > 2 ? _[2] % 360 * radians : 0, recenter()) : [deltaLambda * degrees, deltaPhi * degrees, deltaGamma * degrees]; }; projection.angle = function(_) { return arguments.length ? (alpha = _ % 360 * radians, recenter()) : alpha * degrees; }; projection.precision = function(_) { return arguments.length ? (projectResample = resample(projectTransform, delta2 = _ * _), reset()) : sqrt(delta2); }; projection.fitExtent = function(extent, object) { return fitExtent(projection, extent, object); }; projection.fitSize = function(size, object) { return fitSize(projection, size, object); }; projection.fitWidth = function(width, object) { return fitWidth(projection, width, object); }; projection.fitHeight = function(height, object) { return fitHeight(projection, height, object); }; function recenter() { var center = scaleTranslateRotate(k, 0, 0, alpha).apply(null, project(lambda, phi)), transform$$1 = (alpha ? scaleTranslateRotate : scaleTranslate)(k, x - center[0], y - center[1], alpha); rotate = rotateRadians(deltaLambda, deltaPhi, deltaGamma); projectTransform = compose(project, transform$$1); projectRotateTransform = compose(rotate, projectTransform); projectResample = resample(projectTransform, delta2); return reset(); } function reset() { cache = cacheStream = null; return projection; } return function() { project = projectAt.apply(this, arguments); projection.invert = project.invert && invert; return recenter(); }; } function conicProjection(projectAt) { var phi0 = 0, phi1 = pi / 3, m = projectionMutator(projectAt), p = m(phi0, phi1); p.parallels = function(_) { return arguments.length ? m(phi0 = _[0] * radians, phi1 = _[1] * radians) : [phi0 * degrees, phi1 * degrees]; }; return p; } function cylindricalEqualAreaRaw(phi0) { var cosPhi0 = cos(phi0); function forward(lambda, phi) { return [lambda * cosPhi0, sin(phi) / cosPhi0]; } forward.invert = function(x, y) { return [x / cosPhi0, asin(y * cosPhi0)]; }; return forward; } function conicEqualAreaRaw(y0, y1) { var sy0 = sin(y0), n = (sy0 + sin(y1)) / 2; // Are the parallels symmetrical around the Equator? if (abs(n) < epsilon) return cylindricalEqualAreaRaw(y0); var c = 1 + sy0 * (2 * n - sy0), r0 = sqrt(c) / n; function project(x, y) { var r = sqrt(c - 2 * n * sin(y)) / n; return [r * sin(x *= n), r0 - r * cos(x)]; } project.invert = function(x, y) { var r0y = r0 - y; return [atan2(x, abs(r0y)) / n * sign(r0y), asin((c - (x * x + r0y * r0y) * n * n) / (2 * n))]; }; return project; } function conicEqualArea() { return conicProjection(conicEqualAreaRaw) .scale(155.424) .center([0, 33.6442]); } function albers() { return conicEqualArea() .parallels([29.5, 45.5]) .scale(1070) .translate([480, 250]) .rotate([96, 0]) .center([-0.6, 38.7]); } // The projections must have mutually exclusive clip regions on the sphere, // as this will avoid emitting interleaving lines and polygons. function multiplex(streams) { var n = streams.length; return { point: function(x, y) { var i = -1; while (++i < n) streams[i].point(x, y); }, sphere: function() { var i = -1; while (++i < n) streams[i].sphere(); }, lineStart: function() { var i = -1; while (++i < n) streams[i].lineStart(); }, lineEnd: function() { var i = -1; while (++i < n) streams[i].lineEnd(); }, polygonStart: function() { var i = -1; while (++i < n) streams[i].polygonStart(); }, polygonEnd: function() { var i = -1; while (++i < n) streams[i].polygonEnd(); } }; } // A composite projection for the United States, configured by default for // 960×500. The projection also works quite well at 960×600 if you change the // scale to 1285 and adjust the translate accordingly. The set of standard // parallels for each region comes from USGS, which is published here: // http://egsc.usgs.gov/isb/pubs/MapProjections/projections.html#albers function albersUsa() { var cache, cacheStream, lower48 = albers(), lower48Point, alaska = conicEqualArea().rotate([154, 0]).center([-2, 58.5]).parallels([55, 65]), alaskaPoint, // EPSG:3338 hawaii = conicEqualArea().rotate([157, 0]).center([-3, 19.9]).parallels([8, 18]), hawaiiPoint, // ESRI:102007 point, pointStream = {point: function(x, y) { point = [x, y]; }}; function albersUsa(coordinates) { var x = coordinates[0], y = coordinates[1]; return point = null, (lower48Point.point(x, y), point) || (alaskaPoint.point(x, y), point) || (hawaiiPoint.point(x, y), point); } albersUsa.invert = function(coordinates) { var k = lower48.scale(), t = lower48.translate(), x = (coordinates[0] - t[0]) / k, y = (coordinates[1] - t[1]) / k; return (y >= 0.120 && y < 0.234 && x >= -0.425 && x < -0.214 ? alaska : y >= 0.166 && y < 0.234 && x >= -0.214 && x < -0.115 ? hawaii : lower48).invert(coordinates); }; albersUsa.stream = function(stream) { return cache && cacheStream === stream ? cache : cache = multiplex([lower48.stream(cacheStream = stream), alaska.stream(stream), hawaii.stream(stream)]); }; albersUsa.precision = function(_) { if (!arguments.length) return lower48.precision(); lower48.precision(_), alaska.precision(_), hawaii.precision(_); return reset(); }; albersUsa.scale = function(_) { if (!arguments.length) return lower48.scale(); lower48.scale(_), alaska.scale(_ * 0.35), hawaii.scale(_); return albersUsa.translate(lower48.translate()); }; albersUsa.translate = function(_) { if (!arguments.length) return lower48.translate(); var k = lower48.scale(), x = +_[0], y = +_[1]; lower48Point = lower48 .translate(_) .clipExtent([[x - 0.455 * k, y - 0.238 * k], [x + 0.455 * k, y + 0.238 * k]]) .stream(pointStream); alaskaPoint = alaska .translate([x - 0.307 * k, y + 0.201 * k]) .clipExtent([[x - 0.425 * k + epsilon, y + 0.120 * k + epsilon], [x - 0.214 * k - epsilon, y + 0.234 * k - epsilon]]) .stream(pointStream); hawaiiPoint = hawaii .translate([x - 0.205 * k, y + 0.212 * k]) .clipExtent([[x - 0.214 * k + epsilon, y + 0.166 * k + epsilon], [x - 0.115 * k - epsilon, y + 0.234 * k - epsilon]]) .stream(pointStream); return reset(); }; albersUsa.fitExtent = function(extent, object) { return fitExtent(albersUsa, extent, object); }; albersUsa.fitSize = function(size, object) { return fitSize(albersUsa, size, object); }; albersUsa.fitWidth = function(width, object) { return fitWidth(albersUsa, width, object); }; albersUsa.fitHeight = function(height, object) { return fitHeight(albersUsa, height, object); }; function reset() { cache = cacheStream = null; return albersUsa; } return albersUsa.scale(1070); } function azimuthalRaw(scale) { return function(x, y) { var cx = cos(x), cy = cos(y), k = scale(cx * cy); return [ k * cy * sin(x), k * sin(y) ]; } } function azimuthalInvert(angle) { return function(x, y) { var z = sqrt(x * x + y * y), c = angle(z), sc = sin(c), cc = cos(c); return [ atan2(x * sc, z * cc), asin(z && y * sc / z) ]; } } var azimuthalEqualAreaRaw = azimuthalRaw(function(cxcy) { return sqrt(2 / (1 + cxcy)); }); azimuthalEqualAreaRaw.invert = azimuthalInvert(function(z) { return 2 * asin(z / 2); }); function azimuthalEqualArea() { return projection(azimuthalEqualAreaRaw) .scale(124.75) .clipAngle(180 - 1e-3); } var azimuthalEquidistantRaw = azimuthalRaw(function(c) { return (c = acos(c)) && c / sin(c); }); azimuthalEquidistantRaw.invert = azimuthalInvert(function(z) { return z; }); function azimuthalEquidistant() { return projection(azimuthalEquidistantRaw) .scale(79.4188) .clipAngle(180 - 1e-3); } function mercatorRaw(lambda, phi) { return [lambda, log(tan((halfPi + phi) / 2))]; } mercatorRaw.invert = function(x, y) { return [x, 2 * atan(exp(y)) - halfPi]; }; function mercator() { return mercatorProjection(mercatorRaw) .scale(961 / tau); } function mercatorProjection(project) { var m = projection(project), center = m.center, scale = m.scale, translate = m.translate, clipExtent = m.clipExtent, x0 = null, y0, x1, y1; // clip extent m.scale = function(_) { return arguments.length ? (scale(_), reclip()) : scale(); }; m.translate = function(_) { return arguments.length ? (translate(_), reclip()) : translate(); }; m.center = function(_) { return arguments.length ? (center(_), reclip()) : center(); }; m.clipExtent = function(_) { return arguments.length ? ((_ == null ? x0 = y0 = x1 = y1 = null : (x0 = +_[0][0], y0 = +_[0][1], x1 = +_[1][0], y1 = +_[1][1])), reclip()) : x0 == null ? null : [[x0, y0], [x1, y1]]; }; function reclip() { var k = pi * scale(), t = m(rotation(m.rotate()).invert([0, 0])); return clipExtent(x0 == null ? [[t[0] - k, t[1] - k], [t[0] + k, t[1] + k]] : project === mercatorRaw ? [[Math.max(t[0] - k, x0), y0], [Math.min(t[0] + k, x1), y1]] : [[x0, Math.max(t[1] - k, y0)], [x1, Math.min(t[1] + k, y1)]]); } return reclip(); } function tany(y) { return tan((halfPi + y) / 2); } function conicConformalRaw(y0, y1) { var cy0 = cos(y0), n = y0 === y1 ? sin(y0) : log(cy0 / cos(y1)) / log(tany(y1) / tany(y0)), f = cy0 * pow(tany(y0), n) / n; if (!n) return mercatorRaw; function project(x, y) { if (f > 0) { if (y < -halfPi + epsilon) y = -halfPi + epsilon; } else { if (y > halfPi - epsilon) y = halfPi - epsilon; } var r = f / pow(tany(y), n); return [r * sin(n * x), f - r * cos(n * x)]; } project.invert = function(x, y) { var fy = f - y, r = sign(n) * sqrt(x * x + fy * fy); return [atan2(x, abs(fy)) / n * sign(fy), 2 * atan(pow(f / r, 1 / n)) - halfPi]; }; return project; } function conicConformal() { return conicProjection(conicConformalRaw) .scale(109.5) .parallels([30, 30]); } function equirectangularRaw(lambda, phi) { return [lambda, phi]; } equirectangularRaw.invert = equirectangularRaw; function equirectangular() { return projection(equirectangularRaw) .scale(152.63); } function conicEquidistantRaw(y0, y1) { var cy0 = cos(y0), n = y0 === y1 ? sin(y0) : (cy0 - cos(y1)) / (y1 - y0), g = cy0 / n + y0; if (abs(n) < epsilon) return equirectangularRaw; function project(x, y) { var gy = g - y, nx = n * x; return [gy * sin(nx), g - gy * cos(nx)]; } project.invert = function(x, y) { var gy = g - y; return [atan2(x, abs(gy)) / n * sign(gy), g - sign(n) * sqrt(x * x + gy * gy)]; }; return project; } function conicEquidistant() { return conicProjection(conicEquidistantRaw) .scale(131.154) .center([0, 13.9389]); } var A1 = 1.340264, A2 = -0.081106, A3 = 0.000893, A4 = 0.003796, M = sqrt(3) / 2, iterations = 12; function equalEarthRaw(lambda, phi) { var l = asin(M * sin(phi)), l2 = l * l, l6 = l2 * l2 * l2; return [ lambda * cos(l) / (M * (A1 + 3 * A2 * l2 + l6 * (7 * A3 + 9 * A4 * l2))), l * (A1 + A2 * l2 + l6 * (A3 + A4 * l2)) ]; } equalEarthRaw.invert = function(x, y) { var l = y, l2 = l * l, l6 = l2 * l2 * l2; for (var i = 0, delta, fy, fpy; i < iterations; ++i) { fy = l * (A1 + A2 * l2 + l6 * (A3 + A4 * l2)) - y; fpy = A1 + 3 * A2 * l2 + l6 * (7 * A3 + 9 * A4 * l2); l -= delta = fy / fpy, l2 = l * l, l6 = l2 * l2 * l2; if (abs(delta) < epsilon2) break; } return [ M * x * (A1 + 3 * A2 * l2 + l6 * (7 * A3 + 9 * A4 * l2)) / cos(l), asin(sin(l) / M) ]; }; function equalEarth() { return projection(equalEarthRaw) .scale(177.158); } function gnomonicRaw(x, y) { var cy = cos(y), k = cos(x) * cy; return [cy * sin(x) / k, sin(y) / k]; } gnomonicRaw.invert = azimuthalInvert(atan); function gnomonic() { return projection(gnomonicRaw) .scale(144.049) .clipAngle(60); } function scaleTranslate$1(kx, ky, tx, ty) { return kx === 1 && ky === 1 && tx === 0 && ty === 0 ? identity : transformer({ point: function(x, y) { this.stream.point(x * kx + tx, y * ky + ty); } }); } function identity$1() { var k = 1, tx = 0, ty = 0, sx = 1, sy = 1, transform$$1 = identity, // scale, translate and reflect x0 = null, y0, x1, y1, // clip extent postclip = identity, cache, cacheStream, projection; function reset() { cache = cacheStream = null; return projection; } return projection = { stream: function(stream) { return cache && cacheStream === stream ? cache : cache = transform$$1(postclip(cacheStream = stream)); }, postclip: function(_) { return arguments.length ? (postclip = _, x0 = y0 = x1 = y1 = null, reset()) : postclip; }, clipExtent: function(_) { return arguments.length ? (postclip = _ == null ? (x0 = y0 = x1 = y1 = null, identity) : clipRectangle(x0 = +_[0][0], y0 = +_[0][1], x1 = +_[1][0], y1 = +_[1][1]), reset()) : x0 == null ? null : [[x0, y0], [x1, y1]]; }, scale: function(_) { return arguments.length ? (transform$$1 = scaleTranslate$1((k = +_) * sx, k * sy, tx, ty), reset()) : k; }, translate: function(_) { return arguments.length ? (transform$$1 = scaleTranslate$1(k * sx, k * sy, tx = +_[0], ty = +_[1]), reset()) : [tx, ty]; }, reflectX: function(_) { return arguments.length ? (transform$$1 = scaleTranslate$1(k * (sx = _ ? -1 : 1), k * sy, tx, ty), reset()) : sx < 0; }, reflectY: function(_) { return arguments.length ? (transform$$1 = scaleTranslate$1(k * sx, k * (sy = _ ? -1 : 1), tx, ty), reset()) : sy < 0; }, fitExtent: function(extent, object) { return fitExtent(projection, extent, object); }, fitSize: function(size, object) { return fitSize(projection, size, object); }, fitWidth: function(width, object) { return fitWidth(projection, width, object); }, fitHeight: function(height, object) { return fitHeight(projection, height, object); } }; } function naturalEarth1Raw(lambda, phi) { var phi2 = phi * phi, phi4 = phi2 * phi2; return [ lambda * (0.8707 - 0.131979 * phi2 + phi4 * (-0.013791 + phi4 * (0.003971 * phi2 - 0.001529 * phi4))), phi * (1.007226 + phi2 * (0.015085 + phi4 * (-0.044475 + 0.028874 * phi2 - 0.005916 * phi4))) ]; } naturalEarth1Raw.invert = function(x, y) { var phi = y, i = 25, delta; do { var phi2 = phi * phi, phi4 = phi2 * phi2; phi -= delta = (phi * (1.007226 + phi2 * (0.015085 + phi4 * (-0.044475 + 0.028874 * phi2 - 0.005916 * phi4))) - y) / (1.007226 + phi2 * (0.015085 * 3 + phi4 * (-0.044475 * 7 + 0.028874 * 9 * phi2 - 0.005916 * 11 * phi4))); } while (abs(delta) > epsilon && --i > 0); return [ x / (0.8707 + (phi2 = phi * phi) * (-0.131979 + phi2 * (-0.013791 + phi2 * phi2 * phi2 * (0.003971 - 0.001529 * phi2)))), phi ]; }; function naturalEarth1() { return projection(naturalEarth1Raw) .scale(175.295); } function orthographicRaw(x, y) { return [cos(y) * sin(x), sin(y)]; } orthographicRaw.invert = azimuthalInvert(asin); function orthographic() { return projection(orthographicRaw) .scale(249.5) .clipAngle(90 + epsilon); } function stereographicRaw(x, y) { var cy = cos(y), k = 1 + cos(x) * cy; return [cy * sin(x) / k, sin(y) / k]; } stereographicRaw.invert = azimuthalInvert(function(z) { return 2 * atan(z); }); function stereographic() { return projection(stereographicRaw) .scale(250) .clipAngle(142); } function transverseMercatorRaw(lambda, phi) { return [log(tan((halfPi + phi) / 2)), -lambda]; } transverseMercatorRaw.invert = function(x, y) { return [-y, 2 * atan(exp(x)) - halfPi]; }; function transverseMercator() { var m = mercatorProjection(transverseMercatorRaw), center = m.center, rotate = m.rotate; m.center = function(_) { return arguments.length ? center([-_[1], _[0]]) : (_ = center(), [_[1], -_[0]]); }; m.rotate = function(_) { return arguments.length ? rotate([_[0], _[1], _.length > 2 ? _[2] + 90 : 90]) : (_ = rotate(), [_[0], _[1], _[2] - 90]); }; return rotate([0, 0, 90]) .scale(159.155); } exports.geoArea = area; exports.geoBounds = bounds; exports.geoCentroid = centroid; exports.geoCircle = circle; exports.geoClipAntimeridian = clipAntimeridian; exports.geoClipCircle = clipCircle; exports.geoClipExtent = extent; exports.geoClipRectangle = clipRectangle; exports.geoContains = contains; exports.geoDistance = distance; exports.geoGraticule = graticule; exports.geoGraticule10 = graticule10; exports.geoInterpolate = interpolate; exports.geoLength = length; exports.geoPath = index; exports.geoAlbers = albers; exports.geoAlbersUsa = albersUsa; exports.geoAzimuthalEqualArea = azimuthalEqualArea; exports.geoAzimuthalEqualAreaRaw = azimuthalEqualAreaRaw; exports.geoAzimuthalEquidistant = azimuthalEquidistant; exports.geoAzimuthalEquidistantRaw = azimuthalEquidistantRaw; exports.geoConicConformal = conicConformal; exports.geoConicConformalRaw = conicConformalRaw; exports.geoConicEqualArea = conicEqualArea; exports.geoConicEqualAreaRaw = conicEqualAreaRaw; exports.geoConicEquidistant = conicEquidistant; exports.geoConicEquidistantRaw = conicEquidistantRaw; exports.geoEqualEarth = equalEarth; exports.geoEqualEarthRaw = equalEarthRaw; exports.geoEquirectangular = equirectangular; exports.geoEquirectangularRaw = equirectangularRaw; exports.geoGnomonic = gnomonic; exports.geoGnomonicRaw = gnomonicRaw; exports.geoIdentity = identity$1; exports.geoProjection = projection; exports.geoProjectionMutator = projectionMutator; exports.geoMercator = mercator; exports.geoMercatorRaw = mercatorRaw; exports.geoNaturalEarth1 = 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output: { preamble: config.output.banner } }) ] } ]; PK[�\]j�.eslintrc.jsonnu�[���{ "extends": "eslint:recommended", "parserOptions": { "sourceType": "module", "ecmaVersion": 8 }, "env": { "es6": true, "node": true, "browser": true }, "rules": { "no-cond-assign": 0, "no-constant-condition": 0 } } PK[�\s.�F���� README.mdnu�[���# d3-geo Map projections are sometimes implemented as point transformations. For instance, spherical Mercator: ```js function mercator(x, y) { return [x, Math.log(Math.tan(Math.PI / 4 + y / 2))]; } ``` This is a reasonable *mathematical* approach if your geometry consists of continuous, infinite point sets. Yet computers do not have infinite memory, so we must instead work with discrete geometry such as polygons and polylines! Discrete geometry makes the challenge of projecting from the sphere to the plane much harder. The edges of a spherical polygon are [geodesics](https://en.wikipedia.org/wiki/Geodesic) (segments of great circles), not straight lines. Projected to the plane, geodesics are curves in all map projections except [gnomonic](#geoGnomonic), and thus accurate projection requires interpolation along each arc. D3 uses [adaptive sampling](https://bl.ocks.org/mbostock/3795544) inspired by a popular [line simplification method](https://bost.ocks.org/mike/simplify/) to balance accuracy and performance. The projection of polygons and polylines must also deal with the topological differences between the sphere and the plane. Some projections require cutting geometry that [crosses the antimeridian](https://bl.ocks.org/mbostock/3788999), while others require [clipping geometry to a great circle](https://bl.ocks.org/mbostock/3021474). Spherical polygons also require a [winding order convention](https://bl.ocks.org/mbostock/a7bdfeb041e850799a8d3dce4d8c50c8) to determine which side of the polygon is the inside: the exterior ring for polygons smaller than a hemisphere must be clockwise, while the exterior ring for polygons [larger than a hemisphere](https://bl.ocks.org/mbostock/6713736) must be anticlockwise. Interior rings representing holes must use the opposite winding order of their exterior ring. This winding order convention is also used by [TopoJSON](https://github.com/topojson) and [ESRI shapefiles](https://github.com/mbostock/shapefile); however, it is the **opposite** convention of GeoJSON’s [RFC 7946](https://tools.ietf.org/html/rfc7946#section-3.1.6). (Also note that standard GeoJSON WGS84 uses planar equirectangular coordinates, not spherical coordinates, and thus may require [stitching](https://github.com/d3/d3-geo-projection/blob/master/README.md#geostitch) to remove antimeridian cuts.) D3’s approach affords great expressiveness: you can choose the right projection, and the right aspect, for your data. D3 supports a wide variety of common and [unusual map projections](https://github.com/d3/d3-geo-projection). For more, see Part 2 of [The Toolmaker’s Guide](https://vimeo.com/106198518#t=20m0s). D3 uses [GeoJSON](http://geojson.org/geojson-spec.html) to represent geographic features in JavaScript. (See also [TopoJSON](https://github.com/mbostock/topojson), an extension of GeoJSON that is significantly more compact and encodes topology.) To convert shapefiles to GeoJSON, use [shp2geo](https://github.com/mbostock/shapefile/blob/master/README.md#shp2geo), part of the [shapefile package](https://github.com/mbostock/shapefile). See [Command-Line Cartography](https://medium.com/@mbostock/command-line-cartography-part-1-897aa8f8ca2c) for an introduction to d3-geo and related tools. ## Installing If you use NPM, `npm install d3-geo`. Otherwise, download the [latest release](https://github.com/d3/d3-geo/releases/latest). You can also load directly from [d3js.org](https://d3js.org), either as a [standalone library](https://d3js.org/d3-geo.v1.min.js) or as part of [D3 4.0](https://github.com/d3/d3). AMD, CommonJS, and vanilla environments are supported. In vanilla, a `d3` global is exported: ```html <script src="https://d3js.org/d3-array.v1.min.js"></script> <script src="https://d3js.org/d3-geo.v1.min.js"></script> <script> var projection = d3.geoEqualEarth(), path = d3.geoPath(projection); </script> ``` [Try d3-geo in your browser.](https://tonicdev.com/npm/d3-geo) ## API Reference * [Paths](#paths) * [Projections](#projections) ([Azimuthal](#azimuthal-projections), [Composite](#composite-projections), [Conic](#conic-projections), [Cylindrical](#cylindrical-projections)) * [Raw Projections](#raw-projections) * [Spherical Math](#spherical-math) * [Spherical Shapes](#spherical-shapes) * [Streams](#streams) * [Transforms](#transforms) * [Clipping](#clipping) ### Paths The geographic path generator, [d3.geoPath](#geoPath), is similar to the shape generators in [d3-shape](https://github.com/d3/d3-shape): given a GeoJSON geometry or feature object, it generates an SVG path data string or [renders the path to a Canvas](https://bl.ocks.org/mbostock/3783604). Canvas is recommended for dynamic or interactive projections to improve performance. Paths can be used with [projections](#projections) or [transforms](#transforms), or they can be used to render planar geometry directly to Canvas or SVG. <a href="#geoPath" name="geoPath">#</a> d3.<b>geoPath</b>([<i>projection</i>[, <i>context</i>]]) [<>](https://github.com/d3/d3-geo/blob/master/src/path/index.js "Source") Creates a new geographic path generator with the default settings. If *projection* is specified, sets the [current projection](#path_projection). If *context* is specified, sets the [current context](#path_context). <a href="#_path" name="_path">#</a> <i>path</i>(<i>object</i>[, <i>arguments…</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/path/index.js "Source") Renders the given *object*, which may be any GeoJSON feature or geometry object: * Point - a single position. * MultiPoint - an array of positions. * LineString - an array of positions forming a continuous line. * MultiLineString - an array of arrays of positions forming several lines. * Polygon - an array of arrays of positions forming a polygon (possibly with holes). * MultiPolygon - a multidimensional array of positions forming multiple polygons. * GeometryCollection - an array of geometry objects. * Feature - a feature containing one of the above geometry objects. * FeatureCollection - an array of feature objects. The type *Sphere* is also supported, which is useful for rendering the outline of the globe; a sphere has no coordinates. Any additional *arguments* are passed along to the [pointRadius](#path_pointRadius) accessor. To display multiple features, combine them into a feature collection: ```js svg.append("path") .datum({type: "FeatureCollection", features: features}) .attr("d", d3.geoPath()); ``` Or use multiple path elements: ```js svg.selectAll("path") .data(features) .enter().append("path") .attr("d", d3.geoPath()); ``` Separate path elements are typically slower than a single path element. However, distinct path elements are useful for styling and interaction (e.g., click or mouseover). Canvas rendering (see [*path*.context](#path_context)) is typically faster than SVG, but requires more effort to implement styling and interaction. <a href="#path_area" name="path_area">#</a> <i>path</i>.<b>area</b>(<i>object</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/path/area.js "Source") Returns the projected planar area (typically in square pixels) for the specified GeoJSON *object*. Point, MultiPoint, LineString and MultiLineString geometries have zero area. For Polygon and MultiPolygon geometries, this method first computes the area of the exterior ring, and then subtracts the area of any interior holes. This method observes any clipping performed by the [projection](#path_projection); see [*projection*.clipAngle](#projection_clipAngle) and [*projection*.clipExtent](#projection_clipExtent). This is the planar equivalent of [d3.geoArea](#geoArea). <a href="#path_bounds" name="path_bounds">#</a> <i>path</i>.<b>bounds</b>(<i>object</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/path/bounds.js "Source") Returns the projected planar bounding box (typically in pixels) for the specified GeoJSON *object*. The bounding box is represented by a two-dimensional array: \[\[*x₀*, *y₀*\], \[*x₁*, *y₁*\]\], where *x₀* is the minimum *x*-coordinate, *y₀* is the minimum *y*-coordinate, *x₁* is maximum *x*-coordinate, and *y₁* is the maximum *y*-coordinate. This is handy for, say, zooming in to a particular feature. (Note that in projected planar coordinates, the minimum latitude is typically the maximum *y*-value, and the maximum latitude is typically the minimum *y*-value.) This method observes any clipping performed by the [projection](#path_projection); see [*projection*.clipAngle](#projection_clipAngle) and [*projection*.clipExtent](#projection_clipExtent). This is the planar equivalent of [d3.geoBounds](#geoBounds). <a href="#path_centroid" name="path_centroid">#</a> <i>path</i>.<b>centroid</b>(<i>object</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/path/centroid.js "Source") Returns the projected planar centroid (typically in pixels) for the specified GeoJSON *object*. This is handy for, say, labeling state or county boundaries, or displaying a symbol map. For example, a [noncontiguous cartogram](https://bl.ocks.org/mbostock/4055908) might scale each state around its centroid. This method observes any clipping performed by the [projection](#path_projection); see [*projection*.clipAngle](#projection_clipAngle) and [*projection*.clipExtent](#projection_clipExtent). This is the planar equivalent of [d3.geoCentroid](#geoCentroid). <a href="#path_measure" name="path_measure">#</a> <i>path</i>.<b>measure</b>(<i>object</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/path/measure.js "Source") Returns the projected planar length (typically in pixels) for the specified GeoJSON *object*. Point and MultiPoint geometries have zero length. For Polygon and MultiPolygon geometries, this method computes the summed length of all rings. This method observes any clipping performed by the [projection](#path_projection); see [*projection*.clipAngle](#projection_clipAngle) and [*projection*.clipExtent](#projection_clipExtent). This is the planar equivalent of [d3.geoLength](#geoLength). <a href="#path_projection" name="path_projection">#</a> <i>path</i>.<b>projection</b>([<i>projection</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/path/index.js "Source") If a *projection* is specified, sets the current projection to the specified projection. If *projection* is not specified, returns the current projection, which defaults to null. The null projection represents the identity transformation: the input geometry is not projected and is instead rendered directly in raw coordinates. This can be useful for fast rendering of [pre-projected geometry](https://bl.ocks.org/mbostock/5557726), or for fast rendering of the equirectangular projection. The given *projection* is typically one of D3’s built-in [geographic projections](#projections); however, any object that exposes a [*projection*.stream](#projection_stream) function can be used, enabling the use of [custom projections](https://bl.ocks.org/mbostock/5663666). See D3’s [transforms](#transforms) for more examples of arbitrary geometric transformations. <a href="#path_context" name="path_context">#</a> <i>path</i>.<b>context</b>([<i>context</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/path/index.js "Source") If *context* is specified, sets the current render context and returns the path generator. If the *context* is null, then the [path generator](#_path) will return an SVG path string; if the context is non-null, the path generator will instead call methods on the specified context to render geometry. The context must implement the following subset of the [CanvasRenderingContext2D API](https://www.w3.org/TR/2dcontext/#canvasrenderingcontext2d): * *context*.beginPath() * *context*.moveTo(*x*, *y*) * *context*.lineTo(*x*, *y*) * *context*.arc(*x*, *y*, *radius*, *startAngle*, *endAngle*) * *context*.closePath() If a *context* is not specified, returns the current render context which defaults to null. <a href="#path_pointRadius" name="path_pointRadius">#</a> <i>path</i>.<b>pointRadius</b>([<i>radius</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/path/index.js "Source") If *radius* is specified, sets the radius used to display Point and MultiPoint geometries to the specified number. If *radius* is not specified, returns the current radius accessor, which defaults to 4.5. While the radius is commonly specified as a number constant, it may also be specified as a function which is computed per feature, being passed the any arguments passed to the [path generator](#_path). For example, if your GeoJSON data has additional properties, you might access those properties inside the radius function to vary the point size; alternatively, you could [d3.symbol](https://github.com/d3/d3-shape#symbols) and a [projection](#geoProjection) for greater flexibility. ### Projections Projections transform spherical polygonal geometry to planar polygonal geometry. D3 provides implementations of several classes of standard projections: * [Azimuthal](#azimuthal-projections) * [Composite](#composite-projections) * [Conic](#conic-projections) * [Cylindrical](#cylindrical-projections) For many more projections, see [d3-geo-projection](https://github.com/d3/d3-geo-projection). You can implement [custom projections](#raw-projections) using [d3.geoProjection](#geoProjection) or [d3.geoProjectionMutator](#geoProjectionMutator). <a href="#_projection" name="_projection">#</a> <i>projection</i>(<i>point</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") Returns a new array \[*x*, *y*\] (typically in pixels) representing the projected point of the given *point*. The point must be specified as a two-element array \[*longitude*, *latitude*\] in degrees. May return null if the specified *point* has no defined projected position, such as when the point is outside the clipping bounds of the projection. <a href="#projection_invert" name="projection_invert">#</a> <i>projection</i>.<b>invert</b>(<i>point</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") Returns a new array \[*longitude*, *latitude*\] in degrees representing the unprojected point of the given projected *point*. The point must be specified as a two-element array \[*x*, *y*\] (typically in pixels). May return null if the specified *point* has no defined projected position, such as when the point is outside the clipping bounds of the projection. This method is only defined on invertible projections. <a href="#projection_stream" name="projection_stream">#</a> <i>projection</i>.<b>stream</b>(<i>stream</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") Returns a [projection stream](#streams) for the specified output *stream*. Any input geometry is projected before being streamed to the output stream. A typical projection involves several geometry transformations: the input geometry is first converted to radians, rotated on three axes, clipped to the small circle or cut along the antimeridian, and lastly projected to the plane with adaptive resampling, scale and translation. <a href="#projection_preclip" name="projection_preclip">#</a> <i>projection</i>.<b>preclip</b>([<i>preclip</i>]) If *preclip* is specified, sets the projection’s spherical clipping to the specified function and returns the projection. If *preclip* is not specified, returns the current spherical clipping function (see [preclip](#preclip)). <a href="#projection_postclip" name="projection_postclip">#</a> <i>projection</i>.<b>postclip</b>([<i>postclip</i>]) If *postclip* is specified, sets the projection’s cartesian clipping to the specified function and returns the projection. If *postclip* is not specified, returns the current cartesian clipping function (see [postclip](#postclip)). <a href="#projection_clipAngle" name="projection_clipAngle">#</a> <i>projection</i>.<b>clipAngle</b>([<i>angle</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") If *angle* is specified, sets the projection’s clipping circle radius to the specified angle in degrees and returns the projection. If *angle* is null, switches to [antimeridian cutting](https://bl.ocks.org/mbostock/3788999) rather than small-circle clipping. If *angle* is not specified, returns the current clip angle which defaults to null. Small-circle clipping is independent of viewport clipping via [*projection*.clipExtent](#projection_clipExtent). See also [*projection*.preclip](#projection_preclip), [d3.geoClipAntimeridian](#geoClipAntimeridian), [d3.geoClipCircle](#geoClipCircle). <a href="#projection_clipExtent" name="projection_clipExtent">#</a> <i>projection</i>.<b>clipExtent</b>([<i>extent</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") If *extent* is specified, sets the projection’s viewport clip extent to the specified bounds in pixels and returns the projection. The *extent* bounds are specified as an array \[\[<i>x₀</i>, <i>y₀</i>\], \[<i>x₁</i>, <i>y₁</i>\]\], where <i>x₀</i> is the left-side of the viewport, <i>y₀</i> is the top, <i>x₁</i> is the right and <i>y₁</i> is the bottom. If *extent* is null, no viewport clipping is performed. If *extent* is not specified, returns the current viewport clip extent which defaults to null. Viewport clipping is independent of small-circle clipping via [*projection*.clipAngle](#projection_clipAngle). See also [*projection*.postclip](#projection_postclip), [d3.geoClipRectangle](#geoClipRectangle). <a href="#projection_scale" name="projection_scale">#</a> <i>projection</i>.<b>scale</b>([<i>scale</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") If *scale* is specified, sets the projection’s scale factor to the specified value and returns the projection. If *scale* is not specified, returns the current scale factor; the default scale is projection-specific. The scale factor corresponds linearly to the distance between projected points; however, absolute scale factors are not equivalent across projections. <a href="#projection_translate" name="projection_translate">#</a> <i>projection</i>.<b>translate</b>([<i>translate</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") If *translate* is specified, sets the projection’s translation offset to the specified two-element array [<i>t<sub>x</sub></i>, <i>t<sub>y</sub></i>] and returns the projection. If *translate* is not specified, returns the current translation offset which defaults to [480, 250]. The translation offset determines the pixel coordinates of the projection’s [center](#projection_center). The default translation offset places ⟨0°,0°⟩ at the center of a 960×500 area. <a href="#projection_center" name="projection_center">#</a> <i>projection</i>.<b>center</b>([<i>center</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") If *center* is specified, sets the projection’s center to the specified *center*, a two-element array of longitude and latitude in degrees and returns the projection. If *center* is not specified, returns the current center, which defaults to ⟨0°,0°⟩. <a href="#projection_angle" name="projection_angle">#</a> <i>projection</i>.<b>angle</b>([<i>angle</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") If *angle* is specified, sets the projection’s post-projection planar rotation angle to the specified *angle* in degrees and returns the projection. If *angle* is not specified, returns the projection’s current angle, which defaults to 0°. Note that it may be faster to rotate during rendering (e.g., using [*context*.rotate](https://developer.mozilla.org/docs/Web/API/CanvasRenderingContext2D/rotate)) rather than during projection. <a href="#projection_rotate" name="projection_rotate">#</a> <i>projection</i>.<b>rotate</b>([<i>angles</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") If *rotation* is specified, sets the projection’s [three-axis spherical rotation](https://bl.ocks.org/mbostock/4282586) to the specified *angles*, which must be a two- or three-element array of numbers [*lambda*, *phi*, *gamma*] specifying the rotation angles in degrees about [each spherical axis](https://bl.ocks.org/mbostock/4282586). (These correspond to [yaw, pitch and roll](http://en.wikipedia.org/wiki/Aircraft_principal_axes).) If the rotation angle *gamma* is omitted, it defaults to 0. See also [d3.geoRotation](#geoRotation). If *rotation* is not specified, returns the current rotation which defaults [0, 0, 0]. <a href="#projection_precision" name="projection_precision">#</a> <i>projection</i>.<b>precision</b>([<i>precision</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") If *precision* is specified, sets the threshold for the projection’s [adaptive resampling](https://bl.ocks.org/mbostock/3795544) to the specified value in pixels and returns the projection. This value corresponds to the [Douglas–Peucker](http://en.wikipedia.org/wiki/Ramer–Douglas–Peucker_algorithm) distance. If *precision* is not specified, returns the projection’s current resampling precision which defaults to √0.5 ≅ 0.70710… <a href="#projection_fitExtent" name="projection_fitExtent">#</a> <i>projection</i>.<b>fitExtent</b>(<i>extent</i>, <i>object</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") Sets the projection’s [scale](#projection_scale) and [translate](#projection_translate) to fit the specified GeoJSON *object* in the center of the given *extent*. The extent is specified as an array \[\[x₀, y₀\], \[x₁, y₁\]\], where x₀ is the left side of the bounding box, y₀ is the top, x₁ is the right and y₁ is the bottom. Returns the projection. For example, to scale and translate the [New Jersey State Plane projection](https://bl.ocks.org/mbostock/5126418) to fit a GeoJSON object *nj* in the center of a 960×500 bounding box with 20 pixels of padding on each side: ```js var projection = d3.geoTransverseMercator() .rotate([74 + 30 / 60, -38 - 50 / 60]) .fitExtent([[20, 20], [940, 480]], nj); ``` Any [clip extent](#projection_clipExtent) is ignored when determining the new scale and translate. The [precision](#projection_precision) used to compute the bounding box of the given *object* is computed at an effective scale of 150. <a href="#projection_fitSize" name="projection_fitSize">#</a> <i>projection</i>.<b>fitSize</b>(<i>size</i>, <i>object</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") A convenience method for [*projection*.fitExtent](#projection_fitExtent) where the top-left corner of the extent is [0, 0]. The following two statements are equivalent: ```js projection.fitExtent([[0, 0], [width, height]], object); projection.fitSize([width, height], object); ``` <a href="#projection_fitWidth" name="projection_fitWidth">#</a> <i>projection</i>.<b>fitWidth</b>(<i>width</i>, <i>object</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") A convenience method for [*projection*.fitSize](#projection_fitSize) where the height is automatically chosen from the aspect ratio of *object* and the given constraint on *width*. <a href="#projection_fitHeight" name="projection_fitHeight">#</a> <i>projection</i>.<b>fitHeight</b>(<i>height</i>, <i>object</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") A convenience method for [*projection*.fitSize](#projection_fitSize) where the width is automatically chosen from the aspect ratio of *object* and the given contraint on *height*. #### Azimuthal Projections Azimuthal projections project the sphere directly onto a plane. <a href="#geoAzimuthalEqualArea" name="geoAzimuthalEqualArea">#</a> d3.<b>geoAzimuthalEqualArea</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/projection/azimuthalEqualArea.js "Source") <br><a href="#geoAzimuthalEqualAreaRaw" name="geoAzimuthalEqualAreaRaw">#</a> d3.<b>geoAzimuthalEqualAreaRaw</b> [<img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/azimuthalEqualArea.png" width="480" height="250">](https://bl.ocks.org/mbostock/3757101) The azimuthal equal-area projection. <a href="#geoAzimuthalEquidistant" name="geoAzimuthalEquidistant">#</a> d3.<b>geoAzimuthalEquidistant</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/projection/azimuthalEquidistant.js "Source") <br><a href="#geoAzimuthalEquidistantRaw" name="geoAzimuthalEquidistantRaw">#</a> d3.<b>geoAzimuthalEquidistantRaw</b> [<img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/azimuthalEquidistant.png" width="480" height="250">](https://bl.ocks.org/mbostock/3757110) The azimuthal equidistant projection. <a href="#geoGnomonic" name="geoGnomonic">#</a> d3.<b>geoGnomonic</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/projection/gnomonic.js "Source") <br><a href="#geoGnomonicRaw" name="geoGnomonicRaw">#</a> d3.<b>geoGnomonicRaw</b> [<img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/gnomonic.png" width="480" height="250">](https://bl.ocks.org/mbostock/3757349) The gnomonic projection. <a href="#geoOrthographic" name="geoOrthographic">#</a> d3.<b>geoOrthographic</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/projection/orthographic.js "Source") <br><a href="#geoOrthographicRaw" name="geoOrthographicRaw">#</a> d3.<b>geoOrthographicRaw</b> [<img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/orthographic.png" width="480" height="250">](https://bl.ocks.org/mbostock/3757125) The orthographic projection. <a href="#geoStereographic" name="geoStereographic">#</a> d3.<b>geoStereographic</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/projection/stereographic.js "Source") <br><a href="#geoStereographicRaw" name="geoStereographicRaw">#</a> d3.<b>geoStereographicRaw</b> [<img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/stereographic.png" width="480" height="250">](https://bl.ocks.org/mbostock/3757137) The stereographic projection. #### Equal-Earth <a href="#geoEqualEarth" name="geoEqualEarth">#</a> d3.<b>geoEqualEarth</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/projection/equalEarth.js "Source") <br><a href="#geoEqualEarthRaw" name="geoEqualEarthRaw">#</a> d3.<b>geoEqualEarthRaw</b> [<img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/equalEarth.png" width="480" height="250">](http://shadedrelief.com/ee_proj/) The Equal Earth projection, by Bojan Šavrič _et al._, 2018. #### Composite Projections Composite consist of several projections that are composed into a single display. The constituent projections have fixed clip, center and rotation, and thus composite projections do not support [*projection*.center](#projection_center), [*projection*.rotate](#projection_rotate), [*projection*.clipAngle](#projection_clipAngle), or [*projection*.clipExtent](#projection_clipExtent). <a href="#geoAlbersUsa" name="geoAlbersUsa">#</a> d3.<b>geoAlbersUsa</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/projection/albersUsa.js "Source") [<img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/albersUsa.png" width="480" height="250">](https://bl.ocks.org/mbostock/4090848) This is a U.S.-centric composite projection of three [d3.geoConicEqualArea](#geoConicEqualArea) projections: [d3.geoAlbers](#geoAlbers) is used for the lower forty-eight states, and separate conic equal-area projections are used for Alaska and Hawaii. Note that the scale for Alaska is diminished: it is projected at 0.35× its true relative area. This diagram by Philippe Rivière illustrates how this projection uses two rectangular insets for Alaska and Hawaii: [<img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/albersUsa-parameters.png" width="480" height="250">](https://bl.ocks.org/Fil/7723167596af40d9159be34ffbf8d36b) See [d3-composite-projections](http://geoexamples.com/d3-composite-projections/) for more examples. #### Conic Projections Conic projections project the sphere onto a cone, and then unroll the cone onto the plane. Conic projections have [two standard parallels](#conic_parallels). <a href="#conic_parallels" name="conic_parallels">#</a> <i>conic</i>.<b>parallels</b>([<i>parallels</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/conic.js "Source") The [two standard parallels](https://en.wikipedia.org/wiki/Map_projection#Conic) that define the map layout in conic projections. <a href="#geoAlbers" name="geoAlbers">#</a> d3.<b>geoAlbers</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/projection/albers.js "Source") [<img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/albers.png" width="480" height="250">](https://bl.ocks.org/mbostock/3734308) The Albers’ equal area-conic projection. This is a U.S.-centric configuration of [d3.geoConicEqualArea](#geoConicEqualArea). <a href="#geoConicConformal" name="geoConicConformal">#</a> d3.<b>geoConicConformal</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/projection/conicConformal.js "Source") <br><a href="#geoConicConformalRaw" name="geoConicConformalRaw">#</a> d3.<b>geoConicConformalRaw</b>(<i>phi0</i>, <i>phi1</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/conicConformal.js "Source") [<img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/conicConformal.png" width="480" height="250">](https://bl.ocks.org/mbostock/3734321) The conic conformal projection. The parallels default to [30°, 30°] resulting in flat top. See also [*conic*.parallels](#conic_parallels). <a href="#geoConicEqualArea" name="geoConicEqualArea">#</a> d3.<b>geoConicEqualArea</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/projection/conicEqualArea.js "Source") <br><a href="#geoConicEqualAreaRaw" name="geoConicEqualAreaRaw">#</a> d3.<b>geoConicEqualAreaRaw</b>(<i>phi0</i>, <i>phi1</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/conicEqualArea.js "Source") [<img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/conicEqualArea.png" width="480" height="250">](https://bl.ocks.org/mbostock/3734308) The Albers’ equal-area conic projection. See also [*conic*.parallels](#conic_parallels). <a href="#geoConicEquidistant" name="geoConicEquidistant">#</a> d3.<b>geoConicEquidistant</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/projection/conicEquidistant.js "Source") <br><a href="#geoConicEquidistantRaw" name="geoConicEquidistantRaw">#</a> d3.<b>geoConicEquidistantRaw</b>(<i>phi0</i>, <i>phi1</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/conicEquidistant.js "Source") [<img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/conicEquidistant.png" width="480" height="250">](https://bl.ocks.org/mbostock/3734317) The conic equidistant projection. See also [*conic*.parallels](#conic_parallels). #### Cylindrical Projections Cylindrical projections project the sphere onto a containing cylinder, and then unroll the cylinder onto the plane. [Pseudocylindrical projections](http://www.progonos.com/furuti/MapProj/Normal/ProjPCyl/projPCyl.html) are a generalization of cylindrical projections. <a href="#geoEquirectangular" name="geoEquirectangular">#</a> d3.<b>geoEquirectangular</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/projection/equirectangular.js "Source") <br><a href="#geoEquirectangularRaw" name="geoEquirectangularRaw">#</a> d3.<b>geoEquirectangularRaw</b> [<img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/equirectangular.png" width="480" height="250">](https://bl.ocks.org/mbostock/3757119) The equirectangular (plate carrée) projection. <a href="#geoMercator" name="geoMercator">#</a> d3.<b>geoMercator</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/projection/mercator.js "Source") <br><a href="#geoMercatorRaw" name="geoMercatorRaw">#</a> d3.<b>geoMercatorRaw</b> [<img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/mercator.png" width="480" height="250">](https://bl.ocks.org/mbostock/3757132) The spherical Mercator projection. Defines a default [*projection*.clipExtent](#projection_clipExtent) such that the world is projected to a square, clipped to approximately ±85° latitude. <a href="#geoTransverseMercator" name="geoTransverseMercator">#</a> d3.<b>geoTransverseMercator</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/projection/transverseMercator.js "Source") <br><a href="#geoTransverseMercatorRaw" name="geoTransverseMercatorRaw">#</a> d3.<b>geoTransverseMercatorRaw</b> [<img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/transverseMercator.png" width="480" height="250">](https://bl.ocks.org/mbostock/4695821) The transverse spherical Mercator projection. Defines a default [*projection*.clipExtent](#projection_clipExtent) such that the world is projected to a square, clipped to approximately ±85° latitude. <a href="#geoNaturalEarth1" name="geoNaturalEarth1">#</a> d3.<b>geoNaturalEarth1</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/projection/naturalEarth1.js "Source") <br><a href="#geoNaturalEarth1Raw" name="geoNaturalEarth1Raw">#</a> d3.<b>geoNaturalEarth1Raw</b> [<img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/naturalEarth1.png" width="480" height="250">](https://bl.ocks.org/mbostock/4479477) The [Natural Earth projection](http://www.shadedrelief.com/NE_proj/) is a pseudocylindrical projection designed by Tom Patterson. It is neither conformal nor equal-area, but appealing to the eye for small-scale maps of the whole world. ### Raw Projections Raw projections are point transformation functions that are used to implement custom projections; they typically passed to [d3.geoProjection](#geoProjection) or [d3.geoProjectionMutator](#geoProjectionMutator). They are exposed here to facilitate the derivation of related projections. Raw projections take spherical coordinates \[*lambda*, *phi*\] in radians (not degrees!) and return a point \[*x*, *y*\], typically in the unit square centered around the origin. <a href="#_project" name="_project">#</a> <i>project</i>(<i>lambda</i>, <i>phi</i>) Projects the specified point [<i>lambda</i>, <i>phi</i>] in radians, returning a new point \[*x*, *y*\] in unitless coordinates. <a href="#project_invert" name="project_invert">#</a> <i>project</i>.<b>invert</b>(<i>x</i>, <i>y</i>) The inverse of [*project*](#_project). <a href="#geoProjection" name="geoProjection">#</a> d3.<b>geoProjection</b>(<i>project</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") Constructs a new projection from the specified [raw projection](#_project), *project*. The *project* function takes the *longitude* and *latitude* of a given point in [radians](http://mathworld.wolfram.com/Radian.html), often referred to as *lambda* (λ) and *phi* (φ), and returns a two-element array \[*x*, *y*\] representing its unit projection. The *project* function does not need to scale or translate the point, as these are applied automatically by [*projection*.scale](#projection_scale), [*projection*.translate](#projection_translate), and [*projection*.center](#projection_center). Likewise, the *project* function does not need to perform any spherical rotation, as [*projection*.rotate](#projection_rotate) is applied prior to projection. For example, a spherical Mercator projection can be implemented as: ```js var mercator = d3.geoProjection(function(x, y) { return [x, Math.log(Math.tan(Math.PI / 4 + y / 2))]; }); ``` If the *project* function exposes an *invert* method, the returned projection will also expose [*projection*.invert](#projection_invert). <a href="#geoProjectionMutator" name="geoProjectionMutator">#</a> d3.<b>geoProjectionMutator</b>(<i>factory</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/projection/index.js "Source") Constructs a new projection from the specified [raw projection](#_project) *factory* and returns a *mutate* function to call whenever the raw projection changes. The *factory* must return a raw projection. The returned *mutate* function returns the wrapped projection. For example, a conic projection typically has two configurable parallels. A suitable *factory* function, such as [d3.geoConicEqualAreaRaw](#geoConicEqualAreaRaw), would have the form: ```js // y0 and y1 represent two parallels function conicFactory(phi0, phi1) { return function conicRaw(lambda, phi) { return […, …]; }; } ``` Using d3.geoProjectionMutator, you can implement a standard projection that allows the parallels to be changed, reassigning the raw projection used internally by [d3.geoProjection](#geoProjection): ```js function conicCustom() { var phi0 = 29.5, phi1 = 45.5, mutate = d3.geoProjectionMutator(conicFactory), projection = mutate(phi0, phi1); projection.parallels = function(_) { return arguments.length ? mutate(phi0 = +_[0], phi1 = +_[1]) : [phi0, phi1]; }; return projection; } ``` When creating a mutable projection, the *mutate* function is typically not exposed. ### Spherical Math <a name="geoArea" href="#geoArea">#</a> d3.<b>geoArea</b>(<i>object</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/area.js "Source") Returns the spherical area of the specified GeoJSON *object* in [steradians](http://mathworld.wolfram.com/Steradian.html). This is the spherical equivalent of [*path*.area](#path_area). <a name="geoBounds" href="#geoBounds">#</a> d3.<b>geoBounds</b>(<i>object</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/bounds.js "Source") Returns the [spherical bounding box](https://www.jasondavies.com/maps/bounds/) for the specified GeoJSON *object*. The bounding box is represented by a two-dimensional array: \[\[*left*, *bottom*], \[*right*, *top*\]\], where *left* is the minimum longitude, *bottom* is the minimum latitude, *right* is maximum longitude, and *top* is the maximum latitude. All coordinates are given in degrees. (Note that in projected planar coordinates, the minimum latitude is typically the maximum *y*-value, and the maximum latitude is typically the minimum *y*-value.) This is the spherical equivalent of [*path*.bounds](#path_bounds). <a name="geoCentroid" href="#geoCentroid">#</a> d3.<b>geoCentroid</b>(<i>object</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/centroid.js "Source") Returns the spherical centroid of the specified GeoJSON *object*. This is the spherical equivalent of [*path*.centroid](#path_centroid). <a name="geoDistance" href="#geoDistance">#</a> d3.<b>geoDistance</b>(<i>a</i>, <i>b</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/distance.js "Source") Returns the great-arc distance in [radians](http://mathworld.wolfram.com/Radian.html) between the two points *a* and *b*. Each point must be specified as a two-element array \[*longitude*, *latitude*\] in degrees. This is the spherical equivalent of [*path*.measure](#path_measure) given a LineString of two points. <a name="geoLength" href="#geoLength">#</a> d3.<b>geoLength</b>(<i>object</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/length.js "Source") Returns the great-arc length of the specified GeoJSON *object* in [radians](http://mathworld.wolfram.com/Radian.html). For polygons, returns the perimeter of the exterior ring plus that of any interior rings. This is the spherical equivalent of [*path*.measure](#path_measure). <a name="geoInterpolate" href="#geoInterpolate">#</a> d3.<b>geoInterpolate</b>(<i>a</i>, <i>b</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/interpolate.js "Source") Returns an interpolator function given two points *a* and *b*. Each point must be specified as a two-element array \[*longitude*, *latitude*\] in degrees. The returned interpolator function takes a single argument *t*, where *t* is a number ranging from 0 to 1; a value of 0 returns the point *a*, while a value of 1 returns the point *b*. Intermediate values interpolate from *a* to *b* along the great arc that passes through both *a* and *b*. If *a* and *b* are antipodes, an arbitrary great arc is chosen. <a name="geoContains" href="#geoContains">#</a> d3.<b>geoContains</b>(<i>object</i>, <i>point</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/contains.js "Source") Returns true if and only if the specified GeoJSON *object* contains the specified *point*, or false if the *object* does not contain the *point*. The point must be specified as a two-element array \[*longitude*, *latitude*\] in degrees. For Point and MultiPoint geometries, an exact test is used; for a Sphere, true is always returned; for other geometries, an epsilon threshold is applied. <a name="geoRotation" href="#geoRotation">#</a> d3.<b>geoRotation</b>(<i>angles</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/rotation.js "Source") Returns a [rotation function](#_rotation) for the given *angles*, which must be a two- or three-element array of numbers [*lambda*, *phi*, *gamma*] specifying the rotation angles in degrees about [each spherical axis](https://bl.ocks.org/mbostock/4282586). (These correspond to [yaw, pitch and roll](http://en.wikipedia.org/wiki/Aircraft_principal_axes).) If the rotation angle *gamma* is omitted, it defaults to 0. See also [*projection*.rotate](#projection_rotate). <a name="_rotation" href="#_rotation">#</a> <i>rotation</i>(<i>point</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/rotation.js "Source") Returns a new array \[*longitude*, *latitude*\] in degrees representing the rotated point of the given *point*. The point must be specified as a two-element array \[*longitude*, *latitude*\] in degrees. <a name="rotation_invert" href="#rotation_invert">#</a> <i>rotation</i>.<b>invert</b>(<i>point</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/rotation.js "Source") Returns a new array \[*longitude*, *latitude*\] in degrees representing the point of the given rotated *point*; the inverse of [*rotation*](#_rotation). The point must be specified as a two-element array \[*longitude*, *latitude*\] in degrees. ### Spherical Shapes To generate a [great arc](https://en.wikipedia.org/wiki/Great-circle_distance) (a segment of a great circle), simply pass a GeoJSON LineString geometry object to a [d3.geoPath](#geoPath). D3’s projections use great-arc interpolation for intermediate points, so there’s no need for a great arc shape generator. <a name="geoCircle" href="#geoCircle">#</a> d3.<b>geoCircle</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/circle.js "Source") Returns a new circle generator. <a name="_circle" href="#_circle">#</a> <i>circle</i>(<i>arguments…</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/circle.js "Source") Returns a new GeoJSON geometry object of type “Polygon” approximating a circle on the surface of a sphere, with the current [center](#circle_center), [radius](#circle_radius) and [precision](#circle_precision). Any *arguments* are passed to the accessors. <a name="circle_center" href="#circle_center">#</a> <i>circle</i>.<b>center</b>([<i>center</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/circle.js "Source") If *center* is specified, sets the circle center to the specified point \[*longitude*, *latitude*\] in degrees, and returns this circle generator. The center may also be specified as a function; this function will be invoked whenever a circle is [generated](#_circle), being passed any arguments passed to the circle generator. If *center* is not specified, returns the current center accessor, which defaults to: ```js function center() { return [0, 0]; } ``` <a name="circle_radius" href="#circle_radius">#</a> <i>circle</i>.<b>radius</b>([<i>radius</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/circle.js "Source") If *radius* is specified, sets the circle radius to the specified angle in degrees, and returns this circle generator. The radius may also be specified as a function; this function will be invoked whenever a circle is [generated](#_circle), being passed any arguments passed to the circle generator. If *radius* is not specified, returns the current radius accessor, which defaults to: ```js function radius() { return 90; } ``` <a name="circle_precision" href="#circle_precision">#</a> <i>circle</i>.<b>precision</b>([<i>angle</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/circle.js "Source") If *precision* is specified, sets the circle precision to the specified angle in degrees, and returns this circle generator. The precision may also be specified as a function; this function will be invoked whenever a circle is [generated](#_circle), being passed any arguments passed to the circle generator. If *precision* is not specified, returns the current precision accessor, which defaults to: ```js function precision() { return 6; } ``` Small circles do not follow great arcs and thus the generated polygon is only an approximation. Specifying a smaller precision angle improves the accuracy of the approximate polygon, but also increase the cost to generate and render it. <a name="geoGraticule" href="#geoGraticule">#</a> d3.<b>geoGraticule</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/graticule.js "Source") Constructs a geometry generator for creating graticules: a uniform grid of [meridians](https://en.wikipedia.org/wiki/Meridian_\(geography\)) and [parallels](https://en.wikipedia.org/wiki/Circle_of_latitude) for showing projection distortion. The default graticule has meridians and parallels every 10° between ±80° latitude; for the polar regions, there are meridians every 90°. <img src="https://raw.githubusercontent.com/d3/d3-geo/master/img/graticule.png" width="480" height="360"> <a name="_graticule" href="#_graticule">#</a> <i>graticule</i>() [<>](https://github.com/d3/d3-geo/blob/master/src/graticule.js "Source") Returns a GeoJSON MultiLineString geometry object representing all meridians and parallels for this graticule. <a name="graticule_lines" href="#graticule_lines">#</a> <i>graticule</i>.<b>lines</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/graticule.js "Source") Returns an array of GeoJSON LineString geometry objects, one for each meridian or parallel for this graticule. <a name="graticule_outline" href="#graticule_outline">#</a> <i>graticule</i>.<b>outline</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/graticule.js "Source") Returns a GeoJSON Polygon geometry object representing the outline of this graticule, i.e. along the meridians and parallels defining its extent. <a name="graticule_extent" href="#graticule_extent">#</a> <i>graticule</i>.<b>extent</b>([<i>extent</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/graticule.js "Source") If *extent* is specified, sets the major and minor extents of this graticule. If *extent* is not specified, returns the current minor extent, which defaults to ⟨⟨-180°, -80° - ε⟩, ⟨180°, 80° + ε⟩⟩. <a name="graticule_extentMajor" href="#graticule_extentMajor">#</a> <i>graticule</i>.<b>extentMajor</b>([<i>extent</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/graticule.js "Source") If *extent* is specified, sets the major extent of this graticule. If *extent* is not specified, returns the current major extent, which defaults to ⟨⟨-180°, -90° + ε⟩, ⟨180°, 90° - ε⟩⟩. <a name="graticule_extentMinor" href="#graticule_extentMinor">#</a> <i>graticule</i>.<b>extentMinor</b>([<i>extent</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/graticule.js "Source") If *extent* is specified, sets the minor extent of this graticule. If *extent* is not specified, returns the current minor extent, which defaults to ⟨⟨-180°, -80° - ε⟩, ⟨180°, 80° + ε⟩⟩. <a name="graticule_step" href="#graticule_step">#</a> <i>graticule</i>.<b>step</b>([<i>step</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/graticule.js "Source") If *step* is specified, sets the major and minor step for this graticule. If *step* is not specified, returns the current minor step, which defaults to ⟨10°, 10°⟩. <a name="graticule_stepMajor" href="#graticule_stepMajor">#</a> <i>graticule</i>.<b>stepMajor</b>([<i>step</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/graticule.js "Source") If *step* is specified, sets the major step for this graticule. If *step* is not specified, returns the current major step, which defaults to ⟨90°, 360°⟩. <a name="graticule_stepMinor" href="#graticule_stepMinor">#</a> <i>graticule</i>.<b>stepMinor</b>([<i>step</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/graticule.js "Source") If *step* is specified, sets the minor step for this graticule. If *step* is not specified, returns the current minor step, which defaults to ⟨10°, 10°⟩. <a name="graticule_precision" href="#graticule_precision">#</a> <i>graticule</i>.<b>precision</b>([<i>angle</i>]) [<>](https://github.com/d3/d3-geo/blob/master/src/graticule.js "Source") If *precision* is specified, sets the precision for this graticule, in degrees. If *precision* is not specified, returns the current precision, which defaults to 2.5°. <a name="geoGraticule10" href="#geoGraticule10">#</a> d3.<b>geoGraticule10</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/graticule.js "Source") A convenience method for directly generating the default 10° global graticule as a GeoJSON MultiLineString geometry object. Equivalent to: ```js function geoGraticule10() { return d3.geoGraticule()(); } ``` ### Streams D3 transforms geometry using a sequence of function calls, rather than materializing intermediate representations, to minimize overhead. Streams must implement several methods to receive input geometry. Streams are inherently stateful; the meaning of a [point](#point) depends on whether the point is inside of a [line](#lineStart), and likewise a line is distinguished from a ring by a [polygon](#polygonStart). Despite the name “stream”, these method calls are currently synchronous. <a href="#geoStream" name="geoStream">#</a> d3.<b>geoStream</b>(<i>object</i>, <i>stream</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/stream.js "Source") Streams the specified [GeoJSON](http://geojson.org) *object* to the specified [projection *stream*](#projection-streams). While both features and geometry objects are supported as input, the stream interface only describes the geometry, and thus additional feature properties are not visible to streams. <a name="stream_point" href="#stream_point">#</a> <i>stream</i>.<b>point</b>(<i>x</i>, <i>y</i>[, <i>z</i>]) Indicates a point with the specified coordinates *x* and *y* (and optionally *z*). The coordinate system is unspecified and implementation-dependent; for example, [projection streams](https://github.com/d3/d3-geo-projection) require spherical coordinates in degrees as input. Outside the context of a polygon or line, a point indicates a point geometry object ([Point](http://www.geojson.org/geojson-spec.html#point) or [MultiPoint](http://www.geojson.org/geojson-spec.html#multipoint)). Within a line or polygon ring, the point indicates a control point. <a name="stream_lineStart" href="#stream_lineStart">#</a> <i>stream</i>.<b>lineStart</b>() Indicates the start of a line or ring. Within a polygon, indicates the start of a ring. The first ring of a polygon is the exterior ring, and is typically clockwise. Any subsequent rings indicate holes in the polygon, and are typically counterclockwise. <a name="stream_lineEnd" href="#stream_lineEnd">#</a> <i>stream</i>.<b>lineEnd</b>() Indicates the end of a line or ring. Within a polygon, indicates the end of a ring. Unlike GeoJSON, the redundant closing coordinate of a ring is *not* indicated via [point](#point), and instead is implied via lineEnd within a polygon. Thus, the given polygon input: ```json { "type": "Polygon", "coordinates": [ [[0, 0], [0, 1], [1, 1], [1, 0], [0, 0]] ] } ``` Will produce the following series of method calls on the stream: ```js stream.polygonStart(); stream.lineStart(); stream.point(0, 0); stream.point(0, 1); stream.point(1, 1); stream.point(1, 0); stream.lineEnd(); stream.polygonEnd(); ``` <a name="stream_polygonStart" href="#stream_polygonStart">#</a> <i>stream</i>.<b>polygonStart</b>() Indicates the start of a polygon. The first line of a polygon indicates the exterior ring, and any subsequent lines indicate interior holes. <a name="stream_polygonEnd" href="#stream_polygonEnd">#</a> <i>stream</i>.<b>polygonEnd</b>() Indicates the end of a polygon. <a name="stream_sphere" href="#stream_sphere">#</a> <i>stream</i>.<b>sphere</b>() Indicates the sphere (the globe; the unit sphere centered at ⟨0,0,0⟩). ### Transforms Transforms are a generalization of projections. Transform implement [*projection*.stream](#projection_stream) and can be passed to [*path*.projection](#path_projection). However, they only implement a subset of the other projection methods, and represent arbitrary geometric transformations rather than projections from spherical to planar coordinates. <a href="#geoTransform" name="geoTransform">#</a> d3.<b>geoTransform</b>(<i>methods</i>) [<>](https://github.com/d3/d3-geo/blob/master/src/transform.js "Source") Defines an arbitrary transform using the methods defined on the specified *methods* object. Any undefined methods will use pass-through methods that propagate inputs to the output stream. For example, to reflect the *y*-dimension (see also [*identity*.reflectY](#identity_reflectY)): ```js var reflectY = d3.geoTransform({ point: function(x, y) { this.stream.point(x, -y); } }); ``` Or to define an affine matrix transformation: ```js function matrix(a, b, c, d, tx, ty) { return d3.geoTransform({ point: function(x, y) { this.stream.point(a * x + b * y + tx, c * x + d * y + ty); } }); } ``` <a href="#geoIdentity" name="geoIdentity">#</a> d3.<b>geoIdentity</b>() [<>](https://github.com/d3/d3-geo/blob/master/src/projection/identity.js "Source") The identity transform can be used to scale, translate and clip planar geometry. It implements [*projection*.scale](#projection_scale), [*projection*.translate](#projection_translate), [*projection*.fitExtent](#projection_fitExtent), [*projection*.fitSize](#projection_fitSize), [*projection*.fitWidth](#projection_fitWidth), [*projection*.fitHeight](#projection_fitHeight) and [*projection*.clipExtent](#projection_clipExtent). <a href="#identity_reflectX" name="identity_reflectX">#</a> <i>identity</i>.<b>reflectX</b>([<i>reflect</i>]) If *reflect* is specified, sets whether or not the *x*-dimension is reflected (negated) in the output. If *reflect* is not specified, returns true if *x*-reflection is enabled, which defaults to false. <a href="#identity_reflectY" name="identity_reflectY">#</a> <i>identity</i>.<b>reflectY</b>([<i>reflect</i>]) If *reflect* is specified, sets whether or not the *y*-dimension is reflected (negated) in the output. If *reflect* is not specified, returns true if *y*-reflection is enabled, which defaults to false. This is especially useful for transforming from standard [spatial reference systems](https://en.wikipedia.org/wiki/Spatial_reference_system), which treat positive *y* as pointing up, to display coordinate systems such as Canvas and SVG, which treat positive *y* as pointing down. ### Clipping Projections perform cutting or clipping of geometries in two stages. <a name="preclip" href="#preclip">#</a> <i>preclip</i>(<i>stream</i>) Pre-clipping occurs in geographic coordinates. Cutting along the antimeridian line, or clipping along a small circle are the most common strategies. See [*projection*.preclip](#projection_preclip). <a name="postclip" href="#postclip">#</a> <i>postclip</i>(<i>stream</i>) Post-clipping occurs on the plane, when a projection is bounded to a certain extent such as a rectangle. See [*projection*.postclip](#projection_postclip). Clipping functions are implemented as transformations of a [projection stream](#streams). Pre-clipping operates on spherical coordinates, in radians. Post-clipping operates on planar coordinates, in pixels. <a name="geoClipAntimeridian" href="#geoClipAntimeridian">#</a> d3.<b>geoClipAntimeridian</b> A clipping function which transforms a stream such that geometries (lines or polygons) that cross the antimeridian line are cut in two, one on each side. Typically used for pre-clipping. <a name="geoClipCircle" href="#geoClipCircle">#</a> d3.<b>geoClipCircle</b>(<i>angle</i>) Generates a clipping function which transforms a stream such that geometries are bounded by a small circle of radius *angle* around the projection’s [center](#projection_center). Typically used for pre-clipping. <a name="geoClipRectangle" href="#geoClipRectangle">#</a> d3.<b>geoClipRectangle</b>(<i>x0</i>, <i>y0</i>, <i>x1</i>, <i>y1</i>) Generates a clipping function which transforms a stream such that geometries are bounded by a rectangle of coordinates [[<i>x0</i>, <i>y0</i>], [<i>x1</i>, <i>y1</i>]]. Typically used for post-clipping. PK[�\���$b�b� yarn.locknu�[���# THIS IS AN AUTOGENERATED FILE. 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