Javascript Geometry Library provides utility functions for the computation of geometric data on the surface of the Earth. Code ported from Google Maps Android API.

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node-geometry-library

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 * https://github.com/googlemaps/android-maps-utils/blob/master/library/src/com/google/maps/android/PolyUtil.java

 * Licensed under the Apache License, Version 2.0 (the "License");

 * you may not use this file except in compliance with the License.

 * You may obtain a copy of the License at

 *      http://www.apache.org/licenses/LICENSE-2.0

 * Unless required by applicable law or agreed to in writing, software

 * distributed under the License is distributed on an "AS IS" BASIS,

 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.

 * See the License for the specific language governing permissions and

Object.defineProperty(exports, "__esModule", { value: true });

const MathUtil_1 = require("./MathUtil");

const SphericalUtil_1 = require("./SphericalUtil");

const { max, min, tan, cos, sin, sqrt } = Math;

const DEFAULT_TOLERANCE = 0.1; // meters.

    // Google's polyline algorithm uses the same rounding strategy as Python 2, which is different from JS for negative values

    return Math.floor(Math.abs(value) + 0.5) * (value >= 0 ? 1 : -1);

function encode(current, previous, factor) {

    current = py2_round(current * factor);

    previous = py2_round(previous * factor);

        output += String.fromCharCode((0x20 | (coordinate & 0x1f)) + 63);

    output += String.fromCharCode(coordinate + 63);

     * Returns tan(latitude-at-lng3) on the great circle (lat1, lng1) to (lat2, lng2). lng1==0.

     * See http://williams.best.vwh.net/avform.htm .

    static tanLatGC(lat1, lat2, lng2, lng3) {

        return (tan(lat1) * sin(lng2 - lng3) + tan(lat2) * sin(lng3)) / sin(lng2);

     * Returns mercator(latitude-at-lng3) on the Rhumb line (lat1, lng1) to (lat2, lng2). lng1==0.

    static mercatorLatRhumb(lat1, lat2, lng2, lng3) {

        return ((MathUtil_1.default.mercator(lat1) * (lng2 - lng3) +

            MathUtil_1.default.mercator(lat2) * lng3) /

     * Computes whether the vertical segment (lat3, lng3) to South Pole intersects the segment

     * Longitudes are offset by -lng1; the implicit lng1 becomes 0.

    static intersects(lat1, lat2, lng2, lat3, lng3, geodesic) {

        // Both ends on the same side of lng3.

        if ((lng3 >= 0 && lng3 >= lng2) || (lng3 < 0 && lng3 < lng2)) {

        const linearLat = (lat1 * (lng2 - lng3) + lat2 * lng3) / lng2;

        // Northern hemisphere and point under lat-lng line.

        if (lat1 >= 0 && lat2 >= 0 && lat3 < linearLat) {

        // Southern hemisphere and point above lat-lng line.

        if (lat1 <= 0 && lat2 <= 0 && lat3 >= linearLat) {

        // Compare lat3 with latitude on the GC/Rhumb segment corresponding to lng3.

            let dLng3 = MathUtil_1.default.wrap(lng3 - lng1, -Math.PI, Math.PI);

            // Special case: point equal to vertex is inside.

            if (lat3 == lat1 && dLng3 == 0) {

            let lat2 = SphericalUtil_1.deg2rad(val["lat"]);

            let lng2 = SphericalUtil_1.deg2rad(val["lng"]);

            // Offset longitudes by -lng1.

            if (PolyUtil.intersects(lat1, lat2, MathUtil_1.default.wrap(lng2 - lng1, -Math.PI, Math.PI), lat3, dLng3, geodesic)) {

     * Computes whether the given point lies on or near the edge of a polygon, within a specified

     * tolerance in meters. The polygon edge is composed of great circle segments if geodesic

     * is true, and of Rhumb segments otherwise. The polygon edge is implicitly closed -- the

     * closing segment between the first point and the last point is included.

    static isLocationOnEdge(point, polygon, tolerance = DEFAULT_TOLERANCE, geodesic = true) {

        return PolyUtil.isLocationOnEdgeOrPath(point, polygon, true, geodesic, tolerance);

     * Computes whether the given point lies on or near a polyline, within a specified

     * tolerance in meters. The polyline is composed of great circle segments if geodesic

     * is true, and of Rhumb segments otherwise. The polyline is not closed -- the closing

     * segment between the first point and the last point is not included.

    static isLocationOnPath(point, polyline, tolerance = DEFAULT_TOLERANCE, geodesic = true) {

        return PolyUtil.isLocationOnEdgeOrPath(point, polyline, false, geodesic, tolerance);

    static isLocationOnEdgeOrPath(point, poly, closed, geodesic, toleranceEarth) {

        let tolerance = toleranceEarth / MathUtil_1.default.EARTH_RADIUS;

        let havTolerance = MathUtil_1.default.hav(tolerance);

        let lat3 = SphericalUtil_1.deg2rad(point["lat"]);

        let lng3 = SphericalUtil_1.deg2rad(point["lng"]);

        let prev = closed ? poly[size - 1] : 0;

        let lat1 = SphericalUtil_1.deg2rad(prev ? prev['lat'] : 0);

        let lng1 = SphericalUtil_1.deg2rad(prev ? prev['lng'] : 0);

                let lat2 = SphericalUtil_1.deg2rad(val["lat"]);

                let lng2 = SphericalUtil_1.deg2rad(val["lng"]);

                if (PolyUtil.isOnSegmentGC(lat1, lng1, lat2, lng2, lat3, lng3, havTolerance)) {

            // We project the points to mercator space, where the Rhumb segment is a straight line,

            // and compute the geodesic distance between point3 and the closest point on the

            // segment. This method is an approximation, because it uses "closest" in mercator

            // space which is not "closest" on the sphere -- but the error is small because

            let minAcceptable = lat3 - tolerance;

            let maxAcceptable = lat3 + tolerance;

            let y1 = MathUtil_1.default.mercator(lat1);

            let y3 = MathUtil_1.default.mercator(lat3);

                let y2 = MathUtil_1.default.mercator(lat2);

                if (max(lat1, lat2) >= minAcceptable &&

                    min(lat1, lat2) <= maxAcceptable) {

                    // We offset longitudes by -lng1; the implicit x1 is 0.

                    let x2 = MathUtil_1.default.wrap(lng2 - lng1, -Math.PI, Math.PI);

                    let x3Base = MathUtil_1.default.wrap(lng3 - lng1, -Math.PI, Math.PI);

                    // Also explore wrapping of x3Base around the world in both directions.

                    xTry[1] = x3Base + 2 * Math.PI;

                    xTry[2] = x3Base - 2 * Math.PI;

                    for (let i in xTry) {

                        let x3 = xTry[i];

                        let dy = y2 - y1;

                        let len2 = x2 * x2 + dy * dy;

                        let t = len2 <= 0

                            : MathUtil_1.default.clamp((x3 * x2 + (y3 - y1) * dy) / len2, 0, 1);

                        let xClosest = t * x2;

                        let yClosest = y1 + t * dy;

		@@ -127,3 +127,4 @@ "use strict";
		// @ts-ignore
		polygon.forEach(val => {
		for (let index in polygon) {
		const val = polygon[index];
		let dLng3 = MathUtil_1.default.wrap(lng3 - lng1, -Math.PI, Math.PI);
		@@ -142,3 +143,3 @@ // Special case: point equal to vertex is inside.
		lng1 = lng2;
		});
		}
		return (nIntersect & 1) != 0;
		@@ -145,0 +146,0 @@ }

		{
		"name": "node-geometry-library",
		"version": "1.2.4",
		"version": "1.2.5",
		"description": "Javascript Geometry Library provides utility functions for the computation of geometric data on the surface of the Earth. Code ported from Google Maps Android API.",
		@@ -5,0 +5,0 @@ "main": "lib/index.js",

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