import AxisAlignedBoundingBox from "./AxisAlignedBoundingBox.js"; import Cartesian2 from "./Cartesian2.js"; import Cartesian3 from "./Cartesian3.js"; import Cartesian4 from "./Cartesian4.js"; import Check from "./Check.js"; import defaultValue from "./defaultValue.js"; import defined from "./defined.js"; import DeveloperError from "./DeveloperError.js"; import Ellipsoid from "./Ellipsoid.js"; import IntersectionTests from "./IntersectionTests.js"; import Matrix4 from "./Matrix4.js"; import Plane from "./Plane.js"; import Ray from "./Ray.js"; import Transforms from "./Transforms.js"; const scratchCart4 = new Cartesian4(); /** * A plane tangent to the provided ellipsoid at the provided origin. * If origin is not on the surface of the ellipsoid, it's surface projection will be used. * If origin is at the center of the ellipsoid, an exception will be thrown. * @alias EllipsoidTangentPlane * @constructor * * @param {Cartesian3} origin The point on the surface of the ellipsoid where the tangent plane touches. * @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid to use. * * @exception {DeveloperError} origin must not be at the center of the ellipsoid. */ function EllipsoidTangentPlane(origin, ellipsoid) { //>>includeStart('debug', pragmas.debug); Check.defined("origin", origin); //>>includeEnd('debug'); ellipsoid = defaultValue(ellipsoid, Ellipsoid.WGS84); origin = ellipsoid.scaleToGeodeticSurface(origin); //>>includeStart('debug', pragmas.debug); if (!defined(origin)) { throw new DeveloperError( "origin must not be at the center of the ellipsoid." ); } //>>includeEnd('debug'); const eastNorthUp = Transforms.eastNorthUpToFixedFrame(origin, ellipsoid); this._ellipsoid = ellipsoid; this._origin = origin; this._xAxis = Cartesian3.fromCartesian4( Matrix4.getColumn(eastNorthUp, 0, scratchCart4) ); this._yAxis = Cartesian3.fromCartesian4( Matrix4.getColumn(eastNorthUp, 1, scratchCart4) ); const normal = Cartesian3.fromCartesian4( Matrix4.getColumn(eastNorthUp, 2, scratchCart4) ); this._plane = Plane.fromPointNormal(origin, normal); } Object.defineProperties(EllipsoidTangentPlane.prototype, { /** * Gets the ellipsoid. * @memberof EllipsoidTangentPlane.prototype * @type {Ellipsoid} */ ellipsoid: { get: function () { return this._ellipsoid; }, }, /** * Gets the origin. * @memberof EllipsoidTangentPlane.prototype * @type {Cartesian3} */ origin: { get: function () { return this._origin; }, }, /** * Gets the plane which is tangent to the ellipsoid. * @memberof EllipsoidTangentPlane.prototype * @readonly * @type {Plane} */ plane: { get: function () { return this._plane; }, }, /** * Gets the local X-axis (east) of the tangent plane. * @memberof EllipsoidTangentPlane.prototype * @readonly * @type {Cartesian3} */ xAxis: { get: function () { return this._xAxis; }, }, /** * Gets the local Y-axis (north) of the tangent plane. * @memberof EllipsoidTangentPlane.prototype * @readonly * @type {Cartesian3} */ yAxis: { get: function () { return this._yAxis; }, }, /** * Gets the local Z-axis (up) of the tangent plane. * @memberof EllipsoidTangentPlane.prototype * @readonly * @type {Cartesian3} */ zAxis: { get: function () { return this._plane.normal; }, }, }); const tmp = new AxisAlignedBoundingBox(); /** * Creates a new instance from the provided ellipsoid and the center * point of the provided Cartesians. * * @param {Cartesian3[]} cartesians The list of positions surrounding the center point. * @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid to use. * @returns {EllipsoidTangentPlane} The new instance of EllipsoidTangentPlane. */ EllipsoidTangentPlane.fromPoints = function (cartesians, ellipsoid) { //>>includeStart('debug', pragmas.debug); Check.defined("cartesians", cartesians); //>>includeEnd('debug'); const box = AxisAlignedBoundingBox.fromPoints(cartesians, tmp); return new EllipsoidTangentPlane(box.center, ellipsoid); }; const scratchProjectPointOntoPlaneRay = new Ray(); const scratchProjectPointOntoPlaneCartesian3 = new Cartesian3(); /** * Computes the projection of the provided 3D position onto the 2D plane, radially outward from the {@link EllipsoidTangentPlane.ellipsoid} coordinate system origin. * * @param {Cartesian3} cartesian The point to project. * @param {Cartesian2} [result] The object onto which to store the result. * @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if none was provided. Undefined if there is no intersection point */ EllipsoidTangentPlane.prototype.projectPointOntoPlane = function ( cartesian, result ) { //>>includeStart('debug', pragmas.debug); Check.defined("cartesian", cartesian); //>>includeEnd('debug'); const ray = scratchProjectPointOntoPlaneRay; ray.origin = cartesian; Cartesian3.normalize(cartesian, ray.direction); let intersectionPoint = IntersectionTests.rayPlane( ray, this._plane, scratchProjectPointOntoPlaneCartesian3 ); if (!defined(intersectionPoint)) { Cartesian3.negate(ray.direction, ray.direction); intersectionPoint = IntersectionTests.rayPlane( ray, this._plane, scratchProjectPointOntoPlaneCartesian3 ); } if (defined(intersectionPoint)) { const v = Cartesian3.subtract( intersectionPoint, this._origin, intersectionPoint ); const x = Cartesian3.dot(this._xAxis, v); const y = Cartesian3.dot(this._yAxis, v); if (!defined(result)) { return new Cartesian2(x, y); } result.x = x; result.y = y; return result; } return undefined; }; /** * Computes the projection of the provided 3D positions onto the 2D plane (where possible), radially outward from the global origin. * The resulting array may be shorter than the input array - if a single projection is impossible it will not be included. * * @see EllipsoidTangentPlane.projectPointOntoPlane * * @param {Cartesian3[]} cartesians The array of points to project. * @param {Cartesian2[]} [result] The array of Cartesian2 instances onto which to store results. * @returns {Cartesian2[]} The modified result parameter or a new array of Cartesian2 instances if none was provided. */ EllipsoidTangentPlane.prototype.projectPointsOntoPlane = function ( cartesians, result ) { //>>includeStart('debug', pragmas.debug); Check.defined("cartesians", cartesians); //>>includeEnd('debug'); if (!defined(result)) { result = []; } let count = 0; const length = cartesians.length; for (let i = 0; i < length; i++) { const p = this.projectPointOntoPlane(cartesians[i], result[count]); if (defined(p)) { result[count] = p; count++; } } result.length = count; return result; }; /** * Computes the projection of the provided 3D position onto the 2D plane, along the plane normal. * * @param {Cartesian3} cartesian The point to project. * @param {Cartesian2} [result] The object onto which to store the result. * @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if none was provided. */ EllipsoidTangentPlane.prototype.projectPointToNearestOnPlane = function ( cartesian, result ) { //>>includeStart('debug', pragmas.debug); Check.defined("cartesian", cartesian); //>>includeEnd('debug'); if (!defined(result)) { result = new Cartesian2(); } const ray = scratchProjectPointOntoPlaneRay; ray.origin = cartesian; Cartesian3.clone(this._plane.normal, ray.direction); let intersectionPoint = IntersectionTests.rayPlane( ray, this._plane, scratchProjectPointOntoPlaneCartesian3 ); if (!defined(intersectionPoint)) { Cartesian3.negate(ray.direction, ray.direction); intersectionPoint = IntersectionTests.rayPlane( ray, this._plane, scratchProjectPointOntoPlaneCartesian3 ); } const v = Cartesian3.subtract( intersectionPoint, this._origin, intersectionPoint ); const x = Cartesian3.dot(this._xAxis, v); const y = Cartesian3.dot(this._yAxis, v); result.x = x; result.y = y; return result; }; /** * Computes the projection of the provided 3D positions onto the 2D plane, along the plane normal. * * @see EllipsoidTangentPlane.projectPointToNearestOnPlane * * @param {Cartesian3[]} cartesians The array of points to project. * @param {Cartesian2[]} [result] The array of Cartesian2 instances onto which to store results. * @returns {Cartesian2[]} The modified result parameter or a new array of Cartesian2 instances if none was provided. This will have the same length as cartesians. */ EllipsoidTangentPlane.prototype.projectPointsToNearestOnPlane = function ( cartesians, result ) { //>>includeStart('debug', pragmas.debug); Check.defined("cartesians", cartesians); //>>includeEnd('debug'); if (!defined(result)) { result = []; } const length = cartesians.length; result.length = length; for (let i = 0; i < length; i++) { result[i] = this.projectPointToNearestOnPlane(cartesians[i], result[i]); } return result; }; const projectPointsOntoEllipsoidScratch = new Cartesian3(); /** * Computes the projection of the provided 2D position onto the 3D ellipsoid. * * @param {Cartesian2} cartesian The points to project. * @param {Cartesian3} [result] The Cartesian3 instance to store result. * @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if none was provided. */ EllipsoidTangentPlane.prototype.projectPointOntoEllipsoid = function ( cartesian, result ) { //>>includeStart('debug', pragmas.debug); Check.defined("cartesian", cartesian); //>>includeEnd('debug'); if (!defined(result)) { result = new Cartesian3(); } const ellipsoid = this._ellipsoid; const origin = this._origin; const xAxis = this._xAxis; const yAxis = this._yAxis; const tmp = projectPointsOntoEllipsoidScratch; Cartesian3.multiplyByScalar(xAxis, cartesian.x, tmp); result = Cartesian3.add(origin, tmp, result); Cartesian3.multiplyByScalar(yAxis, cartesian.y, tmp); Cartesian3.add(result, tmp, result); ellipsoid.scaleToGeocentricSurface(result, result); return result; }; /** * Computes the projection of the provided 2D positions onto the 3D ellipsoid. * * @param {Cartesian2[]} cartesians The array of points to project. * @param {Cartesian3[]} [result] The array of Cartesian3 instances onto which to store results. * @returns {Cartesian3[]} The modified result parameter or a new array of Cartesian3 instances if none was provided. */ EllipsoidTangentPlane.prototype.projectPointsOntoEllipsoid = function ( cartesians, result ) { //>>includeStart('debug', pragmas.debug); Check.defined("cartesians", cartesians); //>>includeEnd('debug'); const length = cartesians.length; if (!defined(result)) { result = new Array(length); } else { result.length = length; } for (let i = 0; i < length; ++i) { result[i] = this.projectPointOntoEllipsoid(cartesians[i], result[i]); } return result; }; export default EllipsoidTangentPlane;