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- import Cartesian3 from "./Cartesian3.js";
- import Cartesian4 from "./Cartesian4.js";
- import CullingVolume from "./CullingVolume.js";
- import defaultValue from "./defaultValue.js";
- import defined from "./defined.js";
- import DeveloperError from "./DeveloperError.js";
- import CesiumMath from "./Math.js";
- import Matrix4 from "./Matrix4.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 PerspectiveOffCenterFrustum
- * @constructor
- *
- * @param {Object} [options] An object with the following properties:
- * @param {Number} [options.left] The left clipping plane distance.
- * @param {Number} [options.right] The right clipping plane distance.
- * @param {Number} [options.top] The top clipping plane distance.
- * @param {Number} [options.bottom] The bottom clipping plane distance.
- * @param {Number} [options.near=1.0] The near clipping plane distance.
- * @param {Number} [options.far=500000000.0] The far clipping plane distance.
- *
- * @example
- * const frustum = new Cesium.PerspectiveOffCenterFrustum({
- * left : -1.0,
- * right : 1.0,
- * top : 1.0,
- * bottom : -1.0,
- * near : 1.0,
- * far : 100.0
- * });
- *
- * @see PerspectiveFrustum
- */
- function PerspectiveOffCenterFrustum(options) {
- options = defaultValue(options, defaultValue.EMPTY_OBJECT);
- /**
- * Defines the left clipping plane.
- * @type {Number}
- * @default undefined
- */
- this.left = options.left;
- this._left = undefined;
- /**
- * Defines the right clipping plane.
- * @type {Number}
- * @default undefined
- */
- this.right = options.right;
- this._right = undefined;
- /**
- * Defines the top clipping plane.
- * @type {Number}
- * @default undefined
- */
- this.top = options.top;
- this._top = undefined;
- /**
- * Defines the bottom clipping plane.
- * @type {Number}
- * @default undefined
- */
- this.bottom = options.bottom;
- this._bottom = 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;
- this._cullingVolume = new CullingVolume();
- this._perspectiveMatrix = new Matrix4();
- this._infinitePerspective = new Matrix4();
- }
- function update(frustum) {
- //>>includeStart('debug', pragmas.debug);
- if (
- !defined(frustum.right) ||
- !defined(frustum.left) ||
- !defined(frustum.top) ||
- !defined(frustum.bottom) ||
- !defined(frustum.near) ||
- !defined(frustum.far)
- ) {
- throw new DeveloperError(
- "right, left, top, bottom, near, or far parameters are not set."
- );
- }
- //>>includeEnd('debug');
- const t = frustum.top;
- const b = frustum.bottom;
- const r = frustum.right;
- const l = frustum.left;
- const n = frustum.near;
- const f = frustum.far;
- if (
- t !== frustum._top ||
- b !== frustum._bottom ||
- l !== frustum._left ||
- r !== frustum._right ||
- n !== frustum._near ||
- f !== frustum._far
- ) {
- //>>includeStart('debug', pragmas.debug);
- if (frustum.near <= 0 || frustum.near > frustum.far) {
- throw new DeveloperError(
- "near must be greater than zero and less than far."
- );
- }
- //>>includeEnd('debug');
- frustum._left = l;
- frustum._right = r;
- frustum._top = t;
- frustum._bottom = b;
- frustum._near = n;
- frustum._far = f;
- frustum._perspectiveMatrix = Matrix4.computePerspectiveOffCenter(
- l,
- r,
- b,
- t,
- n,
- f,
- frustum._perspectiveMatrix
- );
- frustum._infinitePerspective = Matrix4.computeInfinitePerspectiveOffCenter(
- l,
- r,
- b,
- t,
- n,
- frustum._infinitePerspective
- );
- }
- }
- Object.defineProperties(PerspectiveOffCenterFrustum.prototype, {
- /**
- * Gets the perspective projection matrix computed from the view frustum.
- * @memberof PerspectiveOffCenterFrustum.prototype
- * @type {Matrix4}
- * @readonly
- *
- * @see PerspectiveOffCenterFrustum#infiniteProjectionMatrix
- */
- projectionMatrix: {
- get: function () {
- update(this);
- return this._perspectiveMatrix;
- },
- },
- /**
- * Gets the perspective projection matrix computed from the view frustum with an infinite far plane.
- * @memberof PerspectiveOffCenterFrustum.prototype
- * @type {Matrix4}
- * @readonly
- *
- * @see PerspectiveOffCenterFrustum#projectionMatrix
- */
- infiniteProjectionMatrix: {
- get: function () {
- update(this);
- return this._infinitePerspective;
- },
- },
- });
- const getPlanesRight = new Cartesian3();
- const getPlanesNearCenter = new Cartesian3();
- const getPlanesFarCenter = new Cartesian3();
- const getPlanesNormal = new Cartesian3();
- /**
- * 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);
- */
- PerspectiveOffCenterFrustum.prototype.computeCullingVolume = function (
- position,
- direction,
- up
- ) {
- //>>includeStart('debug', pragmas.debug);
- if (!defined(position)) {
- throw new DeveloperError("position is required.");
- }
- if (!defined(direction)) {
- throw new DeveloperError("direction is required.");
- }
- if (!defined(up)) {
- throw new DeveloperError("up is required.");
- }
- //>>includeEnd('debug');
- const planes = this._cullingVolume.planes;
- const t = this.top;
- const b = this.bottom;
- const r = this.right;
- const l = this.left;
- const n = this.near;
- const f = this.far;
- const right = Cartesian3.cross(direction, up, getPlanesRight);
- const nearCenter = getPlanesNearCenter;
- Cartesian3.multiplyByScalar(direction, n, nearCenter);
- Cartesian3.add(position, nearCenter, nearCenter);
- const farCenter = getPlanesFarCenter;
- Cartesian3.multiplyByScalar(direction, f, farCenter);
- Cartesian3.add(position, farCenter, farCenter);
- const normal = getPlanesNormal;
- //Left plane computation
- Cartesian3.multiplyByScalar(right, l, normal);
- Cartesian3.add(nearCenter, normal, normal);
- Cartesian3.subtract(normal, position, normal);
- Cartesian3.normalize(normal, normal);
- Cartesian3.cross(normal, up, normal);
- Cartesian3.normalize(normal, normal);
- let plane = planes[0];
- if (!defined(plane)) {
- plane = planes[0] = new Cartesian4();
- }
- plane.x = normal.x;
- plane.y = normal.y;
- plane.z = normal.z;
- plane.w = -Cartesian3.dot(normal, position);
- //Right plane computation
- Cartesian3.multiplyByScalar(right, r, normal);
- Cartesian3.add(nearCenter, normal, normal);
- Cartesian3.subtract(normal, position, normal);
- Cartesian3.cross(up, normal, normal);
- Cartesian3.normalize(normal, normal);
- plane = planes[1];
- if (!defined(plane)) {
- plane = planes[1] = new Cartesian4();
- }
- plane.x = normal.x;
- plane.y = normal.y;
- plane.z = normal.z;
- plane.w = -Cartesian3.dot(normal, position);
- //Bottom plane computation
- Cartesian3.multiplyByScalar(up, b, normal);
- Cartesian3.add(nearCenter, normal, normal);
- Cartesian3.subtract(normal, position, normal);
- Cartesian3.cross(right, normal, normal);
- Cartesian3.normalize(normal, normal);
- plane = planes[2];
- if (!defined(plane)) {
- plane = planes[2] = new Cartesian4();
- }
- plane.x = normal.x;
- plane.y = normal.y;
- plane.z = normal.z;
- plane.w = -Cartesian3.dot(normal, position);
- //Top plane computation
- Cartesian3.multiplyByScalar(up, t, normal);
- Cartesian3.add(nearCenter, normal, normal);
- Cartesian3.subtract(normal, position, normal);
- Cartesian3.cross(normal, right, normal);
- Cartesian3.normalize(normal, normal);
- plane = planes[3];
- if (!defined(plane)) {
- plane = planes[3] = new Cartesian4();
- }
- plane.x = normal.x;
- plane.y = normal.y;
- plane.z = normal.z;
- plane.w = -Cartesian3.dot(normal, position);
- //Near plane computation
- plane = planes[4];
- if (!defined(plane)) {
- plane = planes[4] = new Cartesian4();
- }
- plane.x = direction.x;
- plane.y = direction.y;
- plane.z = direction.z;
- plane.w = -Cartesian3.dot(direction, nearCenter);
- //Far plane computation
- Cartesian3.negate(direction, normal);
- plane = planes[5];
- if (!defined(plane)) {
- plane = planes[5] = new Cartesian4();
- }
- plane.x = normal.x;
- plane.y = normal.y;
- plane.z = normal.z;
- plane.w = -Cartesian3.dot(normal, farCenter);
- return this._cullingVolume;
- };
- /**
- * 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());
- */
- PerspectiveOffCenterFrustum.prototype.getPixelDimensions = function (
- drawingBufferWidth,
- drawingBufferHeight,
- distance,
- pixelRatio,
- result
- ) {
- update(this);
- //>>includeStart('debug', pragmas.debug);
- if (!defined(drawingBufferWidth) || !defined(drawingBufferHeight)) {
- throw new DeveloperError(
- "Both drawingBufferWidth and drawingBufferHeight are required."
- );
- }
- if (drawingBufferWidth <= 0) {
- throw new DeveloperError("drawingBufferWidth must be greater than zero.");
- }
- if (drawingBufferHeight <= 0) {
- throw new DeveloperError("drawingBufferHeight must be greater than zero.");
- }
- if (!defined(distance)) {
- throw new DeveloperError("distance is required.");
- }
- if (!defined(pixelRatio)) {
- throw new DeveloperError("pixelRatio is required");
- }
- if (pixelRatio <= 0) {
- throw new DeveloperError("pixelRatio must be greater than zero.");
- }
- if (!defined(result)) {
- throw new DeveloperError("A result object is required.");
- }
- //>>includeEnd('debug');
- const inverseNear = 1.0 / this.near;
- let tanTheta = this.top * inverseNear;
- const pixelHeight =
- (2.0 * pixelRatio * distance * tanTheta) / drawingBufferHeight;
- tanTheta = this.right * inverseNear;
- const pixelWidth =
- (2.0 * pixelRatio * distance * tanTheta) / drawingBufferWidth;
- result.x = pixelWidth;
- result.y = pixelHeight;
- return result;
- };
- /**
- * Returns a duplicate of a PerspectiveOffCenterFrustum instance.
- *
- * @param {PerspectiveOffCenterFrustum} [result] The object onto which to store the result.
- * @returns {PerspectiveOffCenterFrustum} The modified result parameter or a new PerspectiveFrustum instance if one was not provided.
- */
- PerspectiveOffCenterFrustum.prototype.clone = function (result) {
- if (!defined(result)) {
- result = new PerspectiveOffCenterFrustum();
- }
- result.right = this.right;
- result.left = this.left;
- result.top = this.top;
- result.bottom = this.bottom;
- result.near = this.near;
- result.far = this.far;
- // force update of clone to compute matrices
- result._left = undefined;
- result._right = undefined;
- result._top = undefined;
- result._bottom = undefined;
- result._near = undefined;
- result._far = undefined;
- return result;
- };
- /**
- * Compares the provided PerspectiveOffCenterFrustum componentwise and returns
- * <code>true</code> if they are equal, <code>false</code> otherwise.
- *
- * @param {PerspectiveOffCenterFrustum} [other] The right hand side PerspectiveOffCenterFrustum.
- * @returns {Boolean} <code>true</code> if they are equal, <code>false</code> otherwise.
- */
- PerspectiveOffCenterFrustum.prototype.equals = function (other) {
- return (
- defined(other) &&
- other instanceof PerspectiveOffCenterFrustum &&
- this.right === other.right &&
- this.left === other.left &&
- this.top === other.top &&
- this.bottom === other.bottom &&
- this.near === other.near &&
- this.far === other.far
- );
- };
- /**
- * Compares the provided PerspectiveOffCenterFrustum componentwise and returns
- * <code>true</code> if they pass an absolute or relative tolerance test,
- * <code>false</code> otherwise.
- *
- * @param {PerspectiveOffCenterFrustum} other The right hand side PerspectiveOffCenterFrustum.
- * @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.
- */
- PerspectiveOffCenterFrustum.prototype.equalsEpsilon = function (
- other,
- relativeEpsilon,
- absoluteEpsilon
- ) {
- return (
- other === this ||
- (defined(other) &&
- other instanceof PerspectiveOffCenterFrustum &&
- CesiumMath.equalsEpsilon(
- this.right,
- other.right,
- relativeEpsilon,
- absoluteEpsilon
- ) &&
- CesiumMath.equalsEpsilon(
- this.left,
- other.left,
- relativeEpsilon,
- absoluteEpsilon
- ) &&
- CesiumMath.equalsEpsilon(
- this.top,
- other.top,
- relativeEpsilon,
- absoluteEpsilon
- ) &&
- CesiumMath.equalsEpsilon(
- this.bottom,
- other.bottom,
- relativeEpsilon,
- absoluteEpsilon
- ) &&
- CesiumMath.equalsEpsilon(
- this.near,
- other.near,
- relativeEpsilon,
- absoluteEpsilon
- ) &&
- CesiumMath.equalsEpsilon(
- this.far,
- other.far,
- relativeEpsilon,
- absoluteEpsilon
- ))
- );
- };
- export default PerspectiveOffCenterFrustum;
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