import Check from "./Check.js"; import defaultValue from "./defaultValue.js"; import defined from "./defined.js"; import DeveloperError from "./DeveloperError.js"; import CesiumMath from "./Math.js"; import PerspectiveOffCenterFrustum from "./PerspectiveOffCenterFrustum.js"; /** * The viewing frustum is defined by 6 planes. * Each plane is represented by a {@link Cartesian4} object, where the x, y, and z components * define the unit vector normal to the plane, and the w component is the distance of the * plane from the origin/camera position. * * @alias PerspectiveFrustum * @constructor * * @param {Object} [options] An object with the following properties: * @param {Number} [options.fov] The angle of the field of view (FOV), in radians. * @param {Number} [options.aspectRatio] The aspect ratio of the frustum's width to it's height. * @param {Number} [options.near=1.0] The distance of the near plane. * @param {Number} [options.far=500000000.0] The distance of the far plane. * @param {Number} [options.xOffset=0.0] The offset in the x direction. * @param {Number} [options.yOffset=0.0] The offset in the y direction. * * @example * const frustum = new Cesium.PerspectiveFrustum({ * fov : Cesium.Math.PI_OVER_THREE, * aspectRatio : canvas.clientWidth / canvas.clientHeight * near : 1.0, * far : 1000.0 * }); * * @see PerspectiveOffCenterFrustum */ function PerspectiveFrustum(options) { options = defaultValue(options, defaultValue.EMPTY_OBJECT); this._offCenterFrustum = new PerspectiveOffCenterFrustum(); /** * The angle of the field of view (FOV), in radians. This angle will be used * as the horizontal FOV if the width is greater than the height, otherwise * it will be the vertical FOV. * @type {Number} * @default undefined */ this.fov = options.fov; this._fov = undefined; this._fovy = undefined; this._sseDenominator = undefined; /** * The aspect ratio of the frustum's width to it's height. * @type {Number} * @default undefined */ this.aspectRatio = options.aspectRatio; this._aspectRatio = undefined; /** * The distance of the near plane. * @type {Number} * @default 1.0 */ this.near = defaultValue(options.near, 1.0); this._near = this.near; /** * The distance of the far plane. * @type {Number} * @default 500000000.0 */ this.far = defaultValue(options.far, 500000000.0); this._far = this.far; /** * Offsets the frustum in the x direction. * @type {Number} * @default 0.0 */ this.xOffset = defaultValue(options.xOffset, 0.0); this._xOffset = this.xOffset; /** * Offsets the frustum in the y direction. * @type {Number} * @default 0.0 */ this.yOffset = defaultValue(options.yOffset, 0.0); this._yOffset = this.yOffset; } /** * The number of elements used to pack the object into an array. * @type {Number} */ PerspectiveFrustum.packedLength = 6; /** * Stores the provided instance into the provided array. * * @param {PerspectiveFrustum} value The value to pack. * @param {Number[]} array The array to pack into. * @param {Number} [startingIndex=0] The index into the array at which to start packing the elements. * * @returns {Number[]} The array that was packed into */ PerspectiveFrustum.pack = function (value, array, startingIndex) { //>>includeStart('debug', pragmas.debug); Check.typeOf.object("value", value); Check.defined("array", array); //>>includeEnd('debug'); startingIndex = defaultValue(startingIndex, 0); array[startingIndex++] = value.fov; array[startingIndex++] = value.aspectRatio; array[startingIndex++] = value.near; array[startingIndex++] = value.far; array[startingIndex++] = value.xOffset; array[startingIndex] = value.yOffset; return array; }; /** * Retrieves an instance from a packed array. * * @param {Number[]} array The packed array. * @param {Number} [startingIndex=0] The starting index of the element to be unpacked. * @param {PerspectiveFrustum} [result] The object into which to store the result. * @returns {PerspectiveFrustum} The modified result parameter or a new PerspectiveFrustum instance if one was not provided. */ PerspectiveFrustum.unpack = function (array, startingIndex, result) { //>>includeStart('debug', pragmas.debug); Check.defined("array", array); //>>includeEnd('debug'); startingIndex = defaultValue(startingIndex, 0); if (!defined(result)) { result = new PerspectiveFrustum(); } result.fov = array[startingIndex++]; result.aspectRatio = array[startingIndex++]; result.near = array[startingIndex++]; result.far = array[startingIndex++]; result.xOffset = array[startingIndex++]; result.yOffset = array[startingIndex]; return result; }; function update(frustum) { //>>includeStart('debug', pragmas.debug); if ( !defined(frustum.fov) || !defined(frustum.aspectRatio) || !defined(frustum.near) || !defined(frustum.far) ) { throw new DeveloperError( "fov, aspectRatio, near, or far parameters are not set." ); } //>>includeEnd('debug'); const f = frustum._offCenterFrustum; if ( frustum.fov !== frustum._fov || frustum.aspectRatio !== frustum._aspectRatio || frustum.near !== frustum._near || frustum.far !== frustum._far || frustum.xOffset !== frustum._xOffset || frustum.yOffset !== frustum._yOffset ) { //>>includeStart('debug', pragmas.debug); if (frustum.fov < 0 || frustum.fov >= Math.PI) { throw new DeveloperError("fov must be in the range [0, PI)."); } if (frustum.aspectRatio < 0) { throw new DeveloperError("aspectRatio must be positive."); } if (frustum.near < 0 || frustum.near > frustum.far) { throw new DeveloperError( "near must be greater than zero and less than far." ); } //>>includeEnd('debug'); frustum._aspectRatio = frustum.aspectRatio; frustum._fov = frustum.fov; frustum._fovy = frustum.aspectRatio <= 1 ? frustum.fov : Math.atan(Math.tan(frustum.fov * 0.5) / frustum.aspectRatio) * 2.0; frustum._near = frustum.near; frustum._far = frustum.far; frustum._sseDenominator = 2.0 * Math.tan(0.5 * frustum._fovy); frustum._xOffset = frustum.xOffset; frustum._yOffset = frustum.yOffset; f.top = frustum.near * Math.tan(0.5 * frustum._fovy); f.bottom = -f.top; f.right = frustum.aspectRatio * f.top; f.left = -f.right; f.near = frustum.near; f.far = frustum.far; f.right += frustum.xOffset; f.left += frustum.xOffset; f.top += frustum.yOffset; f.bottom += frustum.yOffset; } } Object.defineProperties(PerspectiveFrustum.prototype, { /** * Gets the perspective projection matrix computed from the view frustum. * @memberof PerspectiveFrustum.prototype * @type {Matrix4} * @readonly * * @see PerspectiveFrustum#infiniteProjectionMatrix */ projectionMatrix: { get: function () { update(this); return this._offCenterFrustum.projectionMatrix; }, }, /** * The perspective projection matrix computed from the view frustum with an infinite far plane. * @memberof PerspectiveFrustum.prototype * @type {Matrix4} * @readonly * * @see PerspectiveFrustum#projectionMatrix */ infiniteProjectionMatrix: { get: function () { update(this); return this._offCenterFrustum.infiniteProjectionMatrix; }, }, /** * Gets the angle of the vertical field of view, in radians. * @memberof PerspectiveFrustum.prototype * @type {Number} * @readonly * @default undefined */ fovy: { get: function () { update(this); return this._fovy; }, }, /** * @readonly * @private */ sseDenominator: { get: function () { update(this); return this._sseDenominator; }, }, }); /** * Creates a culling volume for this frustum. * * @param {Cartesian3} position The eye position. * @param {Cartesian3} direction The view direction. * @param {Cartesian3} up The up direction. * @returns {CullingVolume} A culling volume at the given position and orientation. * * @example * // Check if a bounding volume intersects the frustum. * const cullingVolume = frustum.computeCullingVolume(cameraPosition, cameraDirection, cameraUp); * const intersect = cullingVolume.computeVisibility(boundingVolume); */ PerspectiveFrustum.prototype.computeCullingVolume = function ( position, direction, up ) { update(this); return this._offCenterFrustum.computeCullingVolume(position, direction, up); }; /** * Returns the pixel's width and height in meters. * * @param {Number} drawingBufferWidth The width of the drawing buffer. * @param {Number} drawingBufferHeight The height of the drawing buffer. * @param {Number} distance The distance to the near plane in meters. * @param {Number} pixelRatio The scaling factor from pixel space to coordinate space. * @param {Cartesian2} result The object onto which to store the result. * @returns {Cartesian2} The modified result parameter or a new instance of {@link Cartesian2} with the pixel's width and height in the x and y properties, respectively. * * @exception {DeveloperError} drawingBufferWidth must be greater than zero. * @exception {DeveloperError} drawingBufferHeight must be greater than zero. * @exception {DeveloperError} pixelRatio must be greater than zero. * * @example * // Example 1 * // Get the width and height of a pixel. * const pixelSize = camera.frustum.getPixelDimensions(scene.drawingBufferWidth, scene.drawingBufferHeight, 1.0, scene.pixelRatio, new Cesium.Cartesian2()); * * @example * // Example 2 * // Get the width and height of a pixel if the near plane was set to 'distance'. * // For example, get the size of a pixel of an image on a billboard. * const position = camera.position; * const direction = camera.direction; * const toCenter = Cesium.Cartesian3.subtract(primitive.boundingVolume.center, position, new Cesium.Cartesian3()); // vector from camera to a primitive * const toCenterProj = Cesium.Cartesian3.multiplyByScalar(direction, Cesium.Cartesian3.dot(direction, toCenter), new Cesium.Cartesian3()); // project vector onto camera direction vector * const distance = Cesium.Cartesian3.magnitude(toCenterProj); * const pixelSize = camera.frustum.getPixelDimensions(scene.drawingBufferWidth, scene.drawingBufferHeight, distance, scene.pixelRatio, new Cesium.Cartesian2()); */ PerspectiveFrustum.prototype.getPixelDimensions = function ( drawingBufferWidth, drawingBufferHeight, distance, pixelRatio, result ) { update(this); return this._offCenterFrustum.getPixelDimensions( drawingBufferWidth, drawingBufferHeight, distance, pixelRatio, result ); }; /** * Returns a duplicate of a PerspectiveFrustum instance. * * @param {PerspectiveFrustum} [result] The object onto which to store the result. * @returns {PerspectiveFrustum} The modified result parameter or a new PerspectiveFrustum instance if one was not provided. */ PerspectiveFrustum.prototype.clone = function (result) { if (!defined(result)) { result = new PerspectiveFrustum(); } result.aspectRatio = this.aspectRatio; result.fov = this.fov; result.near = this.near; result.far = this.far; // force update of clone to compute matrices result._aspectRatio = undefined; result._fov = undefined; result._near = undefined; result._far = undefined; this._offCenterFrustum.clone(result._offCenterFrustum); return result; }; /** * Compares the provided PerspectiveFrustum componentwise and returns * true if they are equal, false otherwise. * * @param {PerspectiveFrustum} [other] The right hand side PerspectiveFrustum. * @returns {Boolean} true if they are equal, false otherwise. */ PerspectiveFrustum.prototype.equals = function (other) { if (!defined(other) || !(other instanceof PerspectiveFrustum)) { return false; } update(this); update(other); return ( this.fov === other.fov && this.aspectRatio === other.aspectRatio && this._offCenterFrustum.equals(other._offCenterFrustum) ); }; /** * Compares the provided PerspectiveFrustum componentwise and returns * true if they pass an absolute or relative tolerance test, * false otherwise. * * @param {PerspectiveFrustum} other The right hand side PerspectiveFrustum. * @param {Number} relativeEpsilon The relative epsilon tolerance to use for equality testing. * @param {Number} [absoluteEpsilon=relativeEpsilon] The absolute epsilon tolerance to use for equality testing. * @returns {Boolean} true if this and other are within the provided epsilon, false otherwise. */ PerspectiveFrustum.prototype.equalsEpsilon = function ( other, relativeEpsilon, absoluteEpsilon ) { if (!defined(other) || !(other instanceof PerspectiveFrustum)) { return false; } update(this); update(other); return ( CesiumMath.equalsEpsilon( this.fov, other.fov, relativeEpsilon, absoluteEpsilon ) && CesiumMath.equalsEpsilon( this.aspectRatio, other.aspectRatio, relativeEpsilon, absoluteEpsilon ) && this._offCenterFrustum.equalsEpsilon( other._offCenterFrustum, relativeEpsilon, absoluteEpsilon ) ); }; export default PerspectiveFrustum;