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- import { getCoords, getType } from '@turf/invariant';
- import { featureCollection, point } from '@turf/helpers';
- import calcBbox from '@turf/bbox';
- import explode from '@turf/explode';
- import nearestPoint from '@turf/nearest-point';
- /**
- * Finds the tangents of a {@link Polygon|(Multi)Polygon} from a {@link Point}.
- *
- * @name polygonTangents
- * @param {Coord} pt to calculate the tangent points from
- * @param {Feature<Polygon|MultiPolygon>} polygon to get tangents from
- * @returns {FeatureCollection<Point>} Feature Collection containing the two tangent points
- * @example
- * var polygon = turf.polygon([[[11, 0], [22, 4], [31, 0], [31, 11], [21, 15], [11, 11], [11, 0]]]);
- * var point = turf.point([61, 5]);
- *
- * var tangents = turf.polygonTangents(point, polygon)
- *
- * //addToMap
- * var addToMap = [tangents, point, polygon];
- */
- function polygonTangents(pt, polygon) {
- var pointCoords = getCoords(pt);
- var polyCoords = getCoords(polygon);
- var rtan;
- var ltan;
- var enext;
- var eprev;
- var bbox = calcBbox(polygon);
- var nearestPtIndex = 0;
- var nearest = null;
- // If the point lies inside the polygon bbox then we need to be a bit trickier
- // otherwise points lying inside reflex angles on concave polys can have issues
- if (
- pointCoords[0] > bbox[0] &&
- pointCoords[0] < bbox[2] &&
- pointCoords[1] > bbox[1] &&
- pointCoords[1] < bbox[3]
- ) {
- nearest = nearestPoint(pt, explode(polygon));
- nearestPtIndex = nearest.properties.featureIndex;
- }
- var type = getType(polygon);
- switch (type) {
- case "Polygon":
- rtan = polyCoords[0][nearestPtIndex];
- ltan = polyCoords[0][0];
- if (nearest !== null) {
- if (nearest.geometry.coordinates[1] < pointCoords[1])
- ltan = polyCoords[0][nearestPtIndex];
- }
- eprev = isLeft(
- polyCoords[0][0],
- polyCoords[0][polyCoords[0].length - 1],
- pointCoords
- );
- var out = processPolygon(
- polyCoords[0],
- pointCoords,
- eprev,
- enext,
- rtan,
- ltan);
- rtan = out[0];
- ltan = out[1];
- break;
- case "MultiPolygon":
- var closestFeature = 0;
- var closestVertex = 0;
- var verticesCounted = 0;
- for (var i = 0; i < polyCoords[0].length; i++) {
- closestFeature = i;
- var verticeFound = false;
- for (var i2 = 0; i2 < polyCoords[0][i].length; i2++) {
- closestVertex = i2;
- if (verticesCounted === nearestPtIndex) {
- verticeFound = true;
- break;
- }
- verticesCounted++;
- }
- if (verticeFound) break;
- }
- rtan = polyCoords[0][closestFeature][closestVertex];
- ltan = polyCoords[0][closestFeature][closestVertex];
- eprev = isLeft(
- polyCoords[0][0][0],
- polyCoords[0][0][polyCoords[0][0].length - 1],
- pointCoords
- );
- polyCoords.forEach(function (ring) {
- var out = processPolygon(
- ring[0],
- pointCoords,
- eprev,
- enext,
- rtan,
- ltan);
- rtan = out[0];
- ltan = out[1];
- });
- break;
- }
- return featureCollection([point(rtan), point(ltan)]);
- }
- function processPolygon(polygonCoords, ptCoords, eprev, enext, rtan, ltan) {
- for (var i = 0; i < polygonCoords.length; i++) {
- var currentCoords = polygonCoords[i];
- var nextCoordPair = polygonCoords[i + 1];
- if (i === polygonCoords.length - 1) {
- nextCoordPair = polygonCoords[0];
- }
- enext = isLeft(currentCoords, nextCoordPair, ptCoords);
- if (eprev <= 0 && enext > 0) {
- if (!isBelow(ptCoords, currentCoords, rtan)) {
- rtan = currentCoords;
- }
- } else if (eprev > 0 && enext <= 0) {
- if (!isAbove(ptCoords, currentCoords, ltan)) {
- ltan = currentCoords;
- }
- }
- eprev = enext;
- }
- return [rtan, ltan];
- }
- function isAbove(point1, point2, point3) {
- return isLeft(point1, point2, point3) > 0;
- }
- function isBelow(point1, point2, point3) {
- return isLeft(point1, point2, point3) < 0;
- }
- function isLeft(point1, point2, point3) {
- return (
- (point2[0] - point1[0]) * (point3[1] - point1[1]) -
- (point3[0] - point1[0]) * (point2[1] - point1[1])
- );
- }
- export default polygonTangents;
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