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- 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;
- },
- },
- /**
- * Gets the orthographic projection matrix computed from the view frustum.
- * @memberof PerspectiveFrustum.prototype
- * @type {PerspectiveOffCenterFrustum}
- * @readonly
- * @private
- */
- offCenterFrustum: {
- get: function () {
- update(this);
- return this._offCenterFrustum;
- },
- },
- });
- /**
- * 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
- * <code>true</code> if they are equal, <code>false</code> otherwise.
- *
- * @param {PerspectiveFrustum} [other] The right hand side PerspectiveFrustum.
- * @returns {boolean} <code>true</code> if they are equal, <code>false</code> 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
- * <code>true</code> if they pass an absolute or relative tolerance test,
- * <code>false</code> 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} <code>true</code> if this and other are within the provided epsilon, <code>false</code> 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;
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