add MercatorCoordinate type

docs/documentation.yml

@@ -19,6 +19,7 @@ toc:
   - LngLatBoundsLike
   - Point
   - PointLike
+  - MercatorCoordinate
   - name: User Interface
     description: |
       Controls, markers, and popups add new user interface elements to the map.

docs/pages/example/custom-style-layer.html

@@ -2,8 +2,8 @@
 <script>
 var map = window.map = new mapboxgl.Map({
     container: 'map',
-    zoom: 4,
-    center: [0, 0],
+    zoom: 3,
+    center: [7.5, 58],
     style: 'mapbox://styles/mapbox/light-v9'
 });
 
@@ -17,7 +17,7 @@
         "uniform mat4 u_matrix;" +
         "attribute vec2 a_pos;" +
         "void main() {" +
-        "    gl_Position = vec4(a_pos, 0.0, 1.0);" +
+        "    gl_Position = u_matrix * vec4(a_pos, 0.0, 1.0);" +
         "}";
 
         var fragmentSource = "" +
@@ -39,13 +39,16 @@
 
         this.aPos = gl.getAttribLocation(this.program, "a_pos");
 
+        var helsinki = mapboxgl.MercatorCoordinate.fromLngLat({ lng: 25.004, lat: 60.239 });
+        var berlin = mapboxgl.MercatorCoordinate.fromLngLat({ lng: 13.403, lat: 52.562 });
+        var kyiv = mapboxgl.MercatorCoordinate.fromLngLat({ lng: 30.498, lat: 50.541 });
+
         this.buffer = gl.createBuffer();
         gl.bindBuffer(gl.ARRAY_BUFFER, this.buffer);
         gl.bufferData(gl.ARRAY_BUFFER, new Float32Array([
-            -0.5, -0.5,
-            -0.5, 0.5,
-            0.5, -0.5,
-            0.5, 0.5
+            helsinki.x, helsinki.y,
+            berlin.x, berlin.y,
+            kyiv.x, kyiv.y,
         ]), gl.STATIC_DRAW);
     },
 
@@ -57,11 +60,11 @@
         gl.vertexAttribPointer(this.aPos, 2, gl.FLOAT, false, 0, 0);
         gl.enable(gl.BLEND);
         gl.blendFunc(gl.SRC_ALPHA, gl.ONE_MINUS_SRC_ALPHA);
-        gl.drawArrays(gl.TRIANGLE_STRIP, 0, 4);
+        gl.drawArrays(gl.TRIANGLE_STRIP, 0, 3);
     }
 };
 
 map.on('load', function() {
-    map.addLayer(highlightLayer, 'waterway-river-canal');
+    map.addLayer(highlightLayer, 'building');
 });
 </script>

src/geo/mercator_coordinate.js

@@ -0,0 +1,118 @@
+// @flow
+
+import LngLat from '../geo/lng_lat';
+import type {LngLatLike} from '../geo/lng_lat';
+
+/*
+ * The circumference of the world in meters at the given latitude.
+ */
+function circumferenceAtLatitude(latitude: number) {
+    const circumference = 2 * Math.PI * 6378137;
+    return circumference * Math.cos(latitude * Math.PI / 180);
+}
+
+export function mercatorXfromLng(lng: number) {
+    return (180 + lng) / 360;
+}
+
+export function mercatorYfromLat(lat: number) {
+    return (180 - (180 / Math.PI * Math.log(Math.tan(Math.PI / 4 + lat * Math.PI / 360)))) / 360;
+}
+
+export function mercatorZfromAltitude(altitude: number, lat: number) {
+    return altitude / circumferenceAtLatitude(lat);
+}
+
+export function lngFromMercatorX(x: number) {
+    return x * 360 - 180;
+}
+
+export function latFromMercatorY(y: number) {
+    const y2 = 180 - y * 360;
+    return 360 / Math.PI * Math.atan(Math.exp(y2 * Math.PI / 180)) - 90;
+}
+
+export function altitudeFromMercatorZ(z: number, y: number) {
+    return z * circumferenceAtLatitude(latFromMercatorY(y));
+}
+
+/**
+ * A `MercatorCoordinate` object represents a projected three dimensional position.
+ *
+ * `MercatorCoordinate` uses the web mercator projection ([EPSG:3857](https://epsg.io/3857)) with slightly different units:
+ * - the size of 1 unit is the width of the projected world instead of the "mercator meter"
+ * - the origin of the coordinate space is at the north-west corner instead of the middle
+ *
+ * For example, `MercatorCoordinate(0, 0, 0)` is the north-west corner of the mercator world and
+ * `MercatorCoordinate(1, 1, 0)` is the south-east corner. If you are familiar with
+ * [vector tiles](https://github.com/mapbox/vector-tile-spec) it may be helpful to think
+ * of the coordinate space as the `0/0/0` tile with an extent of `1`.
+ *
+ * The `z` dimension of `MercatorCoordinate` is conformal. A cube in the mercator coordinate space would be rendered as a cube.
+ *
+ * @param {number} x The x component of the position.
+ * @param {number} y The y component of the position.
+ * @param {number} z The z component of the position.
+ * @example
+ * var nullIsland = new mapboxgl.MercatorCoordinate(0.5, 0.5, 0);
+ *
+ * @see [Add a custom style layer](https://www.mapbox.com/mapbox-gl-js/example/custom-style-layer/)
+ */
+class MercatorCoordinate {
+    x: number;
+    y: number;
+    z: number;
+
+    constructor(x: number, y: number, z: number = 0) {
+        this.x = +x;
+        this.y = +y;
+        this.z = +z;
+    }
+
+    /**
+     * Project a `LngLat` to a `MercatorCoordinate`.
+     *
+     * @param {LngLatLike} lngLatLike The location to project.
+     * @param {number} altitude The altitude in meters of the position.
+     * @returns {MercatorCoordinate} The projected mercator coordinate.
+     * @example
+     * var coord = mapboxgl.MercatorCoordinate.fromLngLat({ lng: 0, lat: 0}, 0);
+     * coord; // MercatorCoordinate(0.5, 0.5, 0)
+     */
+    static fromLngLat(lngLatLike: LngLatLike, altitude: number = 0) {
+        const lngLat = LngLat.convert(lngLatLike);
+
+        return new MercatorCoordinate(
+                mercatorXfromLng(lngLat.lng),
+                mercatorYfromLat(lngLat.lat),
+                mercatorZfromAltitude(altitude, lngLat.lat));
+    }
+
+    /**
+     * Returns the `LatLng` for the coordinate.
+     *
+     * @returns {LngLat} The `LngLat` object.
+     * @example
+     * var coord = new mapboxgl.MercatorCoordinate(0.5, 0.5, 0);
+     * var latLng = coord.toLatLng(); // LngLat(0, 0)
+     */
+    toLngLat() {
+        return new LngLat(
+                lngFromMercatorX(this.x),
+                latFromMercatorY(this.y));
+    }
+
+    /**
+     * Returns the altitude in meters of the coordinate.
+     *
+     * @returns {number} The altitude in meters.
+     * @example
+     * var coord = new mapboxgl.MercatorCoordinate(0, 0, 0.02);
+     * coord.toAltitude(); // 6914.281956295339
+     */
+    toAltitude() {
+        return altitudeFromMercatorZ(this.z, this.y);
+    }
+}
+
+export default MercatorCoordinate;