| 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333 | import { getCoord } from '@turf/invariant';var D2R = Math.PI / 180;var R2D = 180 / Math.PI;var Coord = function (lon, lat) {  this.lon = lon;  this.lat = lat;  this.x = D2R * lon;  this.y = D2R * lat;};Coord.prototype.view = function () {  return String(this.lon).slice(0, 4) + "," + String(this.lat).slice(0, 4);};Coord.prototype.antipode = function () {  var anti_lat = -1 * this.lat;  var anti_lon = this.lon < 0 ? 180 + this.lon : (180 - this.lon) * -1;  return new Coord(anti_lon, anti_lat);};var LineString = function () {  this.coords = [];  this.length = 0;};LineString.prototype.move_to = function (coord) {  this.length++;  this.coords.push(coord);};var Arc = function (properties) {  this.properties = properties || {};  this.geometries = [];};Arc.prototype.json = function () {  if (this.geometries.length <= 0) {    return {      geometry: { type: "LineString", coordinates: null },      type: "Feature",      properties: this.properties,    };  } else if (this.geometries.length === 1) {    return {      geometry: { type: "LineString", coordinates: this.geometries[0].coords },      type: "Feature",      properties: this.properties,    };  } else {    var multiline = [];    for (var i = 0; i < this.geometries.length; i++) {      multiline.push(this.geometries[i].coords);    }    return {      geometry: { type: "MultiLineString", coordinates: multiline },      type: "Feature",      properties: this.properties,    };  }};// TODO - output proper multilinestringArc.prototype.wkt = function () {  var wkt_string = "";  var wkt = "LINESTRING(";  var collect = function (c) {    wkt += c[0] + " " + c[1] + ",";  };  for (var i = 0; i < this.geometries.length; i++) {    if (this.geometries[i].coords.length === 0) {      return "LINESTRING(empty)";    } else {      var coords = this.geometries[i].coords;      coords.forEach(collect);      wkt_string += wkt.substring(0, wkt.length - 1) + ")";    }  }  return wkt_string;};/* * http://en.wikipedia.org/wiki/Great-circle_distance * */var GreatCircle = function (start, end, properties) {  if (!start || start.x === undefined || start.y === undefined) {    throw new Error(      "GreatCircle constructor expects two args: start and end objects with x and y properties"    );  }  if (!end || end.x === undefined || end.y === undefined) {    throw new Error(      "GreatCircle constructor expects two args: start and end objects with x and y properties"    );  }  this.start = new Coord(start.x, start.y);  this.end = new Coord(end.x, end.y);  this.properties = properties || {};  var w = this.start.x - this.end.x;  var h = this.start.y - this.end.y;  var z =    Math.pow(Math.sin(h / 2.0), 2) +    Math.cos(this.start.y) *      Math.cos(this.end.y) *      Math.pow(Math.sin(w / 2.0), 2);  this.g = 2.0 * Math.asin(Math.sqrt(z));  if (this.g === Math.PI) {    throw new Error(      "it appears " +        start.view() +        " and " +        end.view() +        " are 'antipodal', e.g diametrically opposite, thus there is no single route but rather infinite"    );  } else if (isNaN(this.g)) {    throw new Error(      "could not calculate great circle between " + start + " and " + end    );  }};/* * http://williams.best.vwh.net/avform.htm#Intermediate */GreatCircle.prototype.interpolate = function (f) {  var A = Math.sin((1 - f) * this.g) / Math.sin(this.g);  var B = Math.sin(f * this.g) / Math.sin(this.g);  var x =    A * Math.cos(this.start.y) * Math.cos(this.start.x) +    B * Math.cos(this.end.y) * Math.cos(this.end.x);  var y =    A * Math.cos(this.start.y) * Math.sin(this.start.x) +    B * Math.cos(this.end.y) * Math.sin(this.end.x);  var z = A * Math.sin(this.start.y) + B * Math.sin(this.end.y);  var lat = R2D * Math.atan2(z, Math.sqrt(Math.pow(x, 2) + Math.pow(y, 2)));  var lon = R2D * Math.atan2(y, x);  return [lon, lat];};/* * Generate points along the great circle */GreatCircle.prototype.Arc = function (npoints, options) {  var first_pass = [];  if (!npoints || npoints <= 2) {    first_pass.push([this.start.lon, this.start.lat]);    first_pass.push([this.end.lon, this.end.lat]);  } else {    var delta = 1.0 / (npoints - 1);    for (var i = 0; i < npoints; ++i) {      var step = delta * i;      var pair = this.interpolate(step);      first_pass.push(pair);    }  }  /* partial port of dateline handling from:      gdal/ogr/ogrgeometryfactory.cpp      TODO - does not handle all wrapping scenarios yet    */  var bHasBigDiff = false;  var dfMaxSmallDiffLong = 0;  // from http://www.gdal.org/ogr2ogr.html  // -datelineoffset:  // (starting with GDAL 1.10) offset from dateline in degrees (default long. = +/- 10deg, geometries within 170deg to -170deg will be splited)  var dfDateLineOffset = options && options.offset ? options.offset : 10;  var dfLeftBorderX = 180 - dfDateLineOffset;  var dfRightBorderX = -180 + dfDateLineOffset;  var dfDiffSpace = 360 - dfDateLineOffset;  // https://github.com/OSGeo/gdal/blob/7bfb9c452a59aac958bff0c8386b891edf8154ca/gdal/ogr/ogrgeometryfactory.cpp#L2342  for (var j = 1; j < first_pass.length; ++j) {    var dfPrevX = first_pass[j - 1][0];    var dfX = first_pass[j][0];    var dfDiffLong = Math.abs(dfX - dfPrevX);    if (      dfDiffLong > dfDiffSpace &&      ((dfX > dfLeftBorderX && dfPrevX < dfRightBorderX) ||        (dfPrevX > dfLeftBorderX && dfX < dfRightBorderX))    ) {      bHasBigDiff = true;    } else if (dfDiffLong > dfMaxSmallDiffLong) {      dfMaxSmallDiffLong = dfDiffLong;    }  }  var poMulti = [];  if (bHasBigDiff && dfMaxSmallDiffLong < dfDateLineOffset) {    var poNewLS = [];    poMulti.push(poNewLS);    for (var k = 0; k < first_pass.length; ++k) {      var dfX0 = parseFloat(first_pass[k][0]);      if (k > 0 && Math.abs(dfX0 - first_pass[k - 1][0]) > dfDiffSpace) {        var dfX1 = parseFloat(first_pass[k - 1][0]);        var dfY1 = parseFloat(first_pass[k - 1][1]);        var dfX2 = parseFloat(first_pass[k][0]);        var dfY2 = parseFloat(first_pass[k][1]);        if (          dfX1 > -180 &&          dfX1 < dfRightBorderX &&          dfX2 === 180 &&          k + 1 < first_pass.length &&          first_pass[k - 1][0] > -180 &&          first_pass[k - 1][0] < dfRightBorderX        ) {          poNewLS.push([-180, first_pass[k][1]]);          k++;          poNewLS.push([first_pass[k][0], first_pass[k][1]]);          continue;        } else if (          dfX1 > dfLeftBorderX &&          dfX1 < 180 &&          dfX2 === -180 &&          k + 1 < first_pass.length &&          first_pass[k - 1][0] > dfLeftBorderX &&          first_pass[k - 1][0] < 180        ) {          poNewLS.push([180, first_pass[k][1]]);          k++;          poNewLS.push([first_pass[k][0], first_pass[k][1]]);          continue;        }        if (dfX1 < dfRightBorderX && dfX2 > dfLeftBorderX) {          // swap dfX1, dfX2          var tmpX = dfX1;          dfX1 = dfX2;          dfX2 = tmpX;          // swap dfY1, dfY2          var tmpY = dfY1;          dfY1 = dfY2;          dfY2 = tmpY;        }        if (dfX1 > dfLeftBorderX && dfX2 < dfRightBorderX) {          dfX2 += 360;        }        if (dfX1 <= 180 && dfX2 >= 180 && dfX1 < dfX2) {          var dfRatio = (180 - dfX1) / (dfX2 - dfX1);          var dfY = dfRatio * dfY2 + (1 - dfRatio) * dfY1;          poNewLS.push([            first_pass[k - 1][0] > dfLeftBorderX ? 180 : -180,            dfY,          ]);          poNewLS = [];          poNewLS.push([            first_pass[k - 1][0] > dfLeftBorderX ? -180 : 180,            dfY,          ]);          poMulti.push(poNewLS);        } else {          poNewLS = [];          poMulti.push(poNewLS);        }        poNewLS.push([dfX0, first_pass[k][1]]);      } else {        poNewLS.push([first_pass[k][0], first_pass[k][1]]);      }    }  } else {    // add normally    var poNewLS0 = [];    poMulti.push(poNewLS0);    for (var l = 0; l < first_pass.length; ++l) {      poNewLS0.push([first_pass[l][0], first_pass[l][1]]);    }  }  var arc = new Arc(this.properties);  for (var m = 0; m < poMulti.length; ++m) {    var line = new LineString();    arc.geometries.push(line);    var points = poMulti[m];    for (var j0 = 0; j0 < points.length; ++j0) {      line.move_to(points[j0]);    }  }  return arc;};/** * Calculate great circles routes as {@link LineString} or {@link MultiLineString}. * If the `start` and `end` points span the antimeridian, the resulting feature will * be split into a `MultiLineString`. * * @name greatCircle * @param {Coord} start source point feature * @param {Coord} end destination point feature * @param {Object} [options={}] Optional parameters * @param {Object} [options.properties={}] line feature properties * @param {number} [options.npoints=100] number of points * @param {number} [options.offset=10] offset controls the likelyhood that lines will * be split which cross the dateline. The higher the number the more likely. * @returns {Feature<LineString | MultiLineString>} great circle line feature * @example * var start = turf.point([-122, 48]); * var end = turf.point([-77, 39]); * * var greatCircle = turf.greatCircle(start, end, {properties: {name: 'Seattle to DC'}}); * * //addToMap * var addToMap = [start, end, greatCircle] */function greatCircle(start, end, options) {  // Optional parameters  options = options || {};  if (typeof options !== "object") throw new Error("options is invalid");  var properties = options.properties;  var npoints = options.npoints;  var offset = options.offset;  start = getCoord(start);  end = getCoord(end);  properties = properties || {};  npoints = npoints || 100;  offset = offset || 10;  var generator = new GreatCircle(    { x: start[0], y: start[1] },    { x: end[0], y: end[1] },    properties  );  var line = generator.Arc(npoints, { offset: offset });  return line.json();}export default greatCircle;
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