280 lines
12 KiB
JavaScript
280 lines
12 KiB
JavaScript
/**
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* Cesium - https://github.com/CesiumGS/cesium
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*
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* Copyright 2011-2020 Cesium Contributors
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*
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* Columbus View (Pat. Pend.)
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*
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* Portions licensed separately.
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* See https://github.com/CesiumGS/cesium/blob/master/LICENSE.md for full licensing details.
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*/
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define(['exports', './when-8d13db60', './Check-70bec281', './Math-61ede240', './Cartographic-f2a06374', './BoundingSphere-d018a565'], function (exports, when, Check, _Math, Cartographic, BoundingSphere) { 'use strict';
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/**
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* A plane in Hessian Normal Form defined by
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* <pre>
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* ax + by + cz + d = 0
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* </pre>
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* where (a, b, c) is the plane's <code>normal</code>, d is the signed
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* <code>distance</code> to the plane, and (x, y, z) is any point on
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* the plane.
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*
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* @alias Plane
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* @constructor
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*
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* @param {Cartesian3} normal The plane's normal (normalized).
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* @param {Number} distance The shortest distance from the origin to the plane. The sign of
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* <code>distance</code> determines which side of the plane the origin
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* is on. If <code>distance</code> is positive, the origin is in the half-space
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* in the direction of the normal; if negative, the origin is in the half-space
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* opposite to the normal; if zero, the plane passes through the origin.
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*
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* @example
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* // The plane x=0
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* var plane = new Cesium.Plane(Cesium.Cartesian3.UNIT_X, 0.0);
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*
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* @exception {DeveloperError} Normal must be normalized
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*/
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function Plane(normal, distance) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.typeOf.object('normal', normal);
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if (!_Math.CesiumMath.equalsEpsilon(Cartographic.Cartesian3.magnitude(normal), 1.0, _Math.CesiumMath.EPSILON6)) {
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throw new Check.DeveloperError('normal must be normalized.');
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}
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Check.Check.typeOf.number('distance', distance);
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//>>includeEnd('debug');
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/**
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* The plane's normal.
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*
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* @type {Cartesian3}
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*/
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this.normal = Cartographic.Cartesian3.clone(normal);
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/**
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* The shortest distance from the origin to the plane. The sign of
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* <code>distance</code> determines which side of the plane the origin
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* is on. If <code>distance</code> is positive, the origin is in the half-space
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* in the direction of the normal; if negative, the origin is in the half-space
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* opposite to the normal; if zero, the plane passes through the origin.
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*
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* @type {Number}
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*/
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this.distance = distance;
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}
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/**
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* Creates a plane from a normal and a point on the plane.
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*
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* @param {Cartesian3} point The point on the plane.
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* @param {Cartesian3} normal The plane's normal (normalized).
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* @param {Plane} [result] The object onto which to store the result.
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* @returns {Plane} A new plane instance or the modified result parameter.
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*
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* @example
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* var point = Cesium.Cartesian3.fromDegrees(-72.0, 40.0);
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* var normal = ellipsoid.geodeticSurfaceNormal(point);
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* var tangentPlane = Cesium.Plane.fromPointNormal(point, normal);
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*
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* @exception {DeveloperError} Normal must be normalized
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*/
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Plane.fromPointNormal = function(point, normal, result) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.typeOf.object('point', point);
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Check.Check.typeOf.object('normal', normal);
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if (!_Math.CesiumMath.equalsEpsilon(Cartographic.Cartesian3.magnitude(normal), 1.0, _Math.CesiumMath.EPSILON6)) {
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throw new Check.DeveloperError('normal must be normalized.');
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}
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//>>includeEnd('debug');
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var distance = -Cartographic.Cartesian3.dot(normal, point);
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if (!when.defined(result)) {
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return new Plane(normal, distance);
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}
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Cartographic.Cartesian3.clone(normal, result.normal);
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result.distance = distance;
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return result;
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};
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var scratchNormal = new Cartographic.Cartesian3();
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/**
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* Creates a plane from the general equation
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*
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* @param {Cartesian4} coefficients The plane's normal (normalized).
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* @param {Plane} [result] The object onto which to store the result.
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* @returns {Plane} A new plane instance or the modified result parameter.
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*
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* @exception {DeveloperError} Normal must be normalized
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*/
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Plane.fromCartesian4 = function(coefficients, result) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.typeOf.object('coefficients', coefficients);
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//>>includeEnd('debug');
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var normal = Cartographic.Cartesian3.fromCartesian4(coefficients, scratchNormal);
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var distance = coefficients.w;
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//>>includeStart('debug', pragmas.debug);
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if (!_Math.CesiumMath.equalsEpsilon(Cartographic.Cartesian3.magnitude(normal), 1.0, _Math.CesiumMath.EPSILON6)) {
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throw new Check.DeveloperError('normal must be normalized.');
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}
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//>>includeEnd('debug');
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if (!when.defined(result)) {
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return new Plane(normal, distance);
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}
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Cartographic.Cartesian3.clone(normal, result.normal);
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result.distance = distance;
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return result;
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};
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/**
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* Computes the signed shortest distance of a point to a plane.
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* The sign of the distance determines which side of the plane the point
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* is on. If the distance is positive, the point is in the half-space
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* in the direction of the normal; if negative, the point is in the half-space
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* opposite to the normal; if zero, the plane passes through the point.
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*
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* @param {Plane} plane The plane.
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* @param {Cartesian3} point The point.
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* @returns {Number} The signed shortest distance of the point to the plane.
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*/
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Plane.getPointDistance = function(plane, point) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.typeOf.object('plane', plane);
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Check.Check.typeOf.object('point', point);
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//>>includeEnd('debug');
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return Cartographic.Cartesian3.dot(plane.normal, point) + plane.distance;
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};
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var scratchCartesian = new Cartographic.Cartesian3();
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/**
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* Projects a point onto the plane.
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* @param {Plane} plane The plane to project the point onto
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* @param {Cartesian3} point The point to project onto the plane
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* @param {Cartesian3} [result] The result point. If undefined, a new Cartesian3 will be created.
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* @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if one was not provided.
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*/
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Plane.projectPointOntoPlane = function(plane, point, result) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.typeOf.object('plane', plane);
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Check.Check.typeOf.object('point', point);
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//>>includeEnd('debug');
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if (!when.defined(result)) {
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result = new Cartographic.Cartesian3();
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}
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// projectedPoint = point - (normal.point + scale) * normal
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var pointDistance = Plane.getPointDistance(plane, point);
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var scaledNormal = Cartographic.Cartesian3.multiplyByScalar(plane.normal, pointDistance, scratchCartesian);
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return Cartographic.Cartesian3.subtract(point, scaledNormal, result);
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};
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var scratchPosition = new Cartographic.Cartesian3();
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/**
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* Transforms the plane by the given transformation matrix.
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*
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* @param {Plane} plane The plane.
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* @param {Matrix4} transform The transformation matrix.
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* @param {Plane} [result] The object into which to store the result.
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* @returns {Plane} The plane transformed by the given transformation matrix.
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*/
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Plane.transform = function(plane, transform, result) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.typeOf.object('plane', plane);
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Check.Check.typeOf.object('transform', transform);
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//>>includeEnd('debug');
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BoundingSphere.Matrix4.multiplyByPointAsVector(transform, plane.normal, scratchNormal);
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Cartographic.Cartesian3.normalize(scratchNormal, scratchNormal);
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Cartographic.Cartesian3.multiplyByScalar(plane.normal, -plane.distance, scratchPosition);
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BoundingSphere.Matrix4.multiplyByPoint(transform, scratchPosition, scratchPosition);
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return Plane.fromPointNormal(scratchPosition, scratchNormal, result);
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};
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/**
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* Duplicates a Plane instance.
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*
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* @param {Plane} plane The plane to duplicate.
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* @param {Plane} [result] The object onto which to store the result.
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* @returns {Plane} The modified result parameter or a new Plane instance if one was not provided.
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*/
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Plane.clone = function(plane, result) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.typeOf.object('plane', plane);
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//>>includeEnd('debug');
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if (!when.defined(result)) {
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return new Plane(plane.normal, plane.distance);
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}
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Cartographic.Cartesian3.clone(plane.normal, result.normal);
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result.distance = plane.distance;
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return result;
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};
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/**
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* Compares the provided Planes by normal and distance and returns
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* <code>true</code> if they are equal, <code>false</code> otherwise.
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*
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* @param {Plane} left The first plane.
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* @param {Plane} right The second plane.
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* @returns {Boolean} <code>true</code> if left and right are equal, <code>false</code> otherwise.
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*/
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Plane.equals = function(left, right) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.typeOf.object('left', left);
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Check.Check.typeOf.object('right', right);
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//>>includeEnd('debug');
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return (left.distance === right.distance) && Cartographic.Cartesian3.equals(left.normal, right.normal);
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};
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/**
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* A constant initialized to the XY plane passing through the origin, with normal in positive Z.
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*
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* @type {Plane}
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* @constant
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*/
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Plane.ORIGIN_XY_PLANE = Object.freeze(new Plane(Cartographic.Cartesian3.UNIT_Z, 0.0));
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/**
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* A constant initialized to the YZ plane passing through the origin, with normal in positive X.
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*
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* @type {Plane}
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* @constant
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*/
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Plane.ORIGIN_YZ_PLANE = Object.freeze(new Plane(Cartographic.Cartesian3.UNIT_X, 0.0));
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/**
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* A constant initialized to the ZX plane passing through the origin, with normal in positive Y.
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*
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* @type {Plane}
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* @constant
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*/
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Plane.ORIGIN_ZX_PLANE = Object.freeze(new Plane(Cartographic.Cartesian3.UNIT_Y, 0.0));
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exports.Plane = Plane;
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});
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