/**
* Cesium - https://github.com/AnalyticalGraphicsInc/cesium
*
* Copyright 2011-2017 Cesium Contributors
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
* Columbus View (Pat. Pend.)
*
* Portions licensed separately.
* See https://github.com/AnalyticalGraphicsInc/cesium/blob/master/LICENSE.md for full licensing details.
*/
define(['exports', './when-8d13db60', './Check-70bec281', './Math-61ede240', './Cartographic-fe4be337', './BoundingSphere-775c5788', './Cartesian4-5af5bb24', './ComponentDatatype-5862616f', './GeometryAttribute-91704ebb', './PrimitiveType-97893bc7', './Transforms-b2e71640', './GeometryAttributes-aacecde6', './Plane-8390418f', './VertexFormat-fe4db402'], function (exports, when, Check, _Math, Cartographic, BoundingSphere, Cartesian4, ComponentDatatype, GeometryAttribute, PrimitiveType, Transforms, GeometryAttributes, Plane, VertexFormat) { 'use strict';
/**
* The culling volume defined by planes.
*
* @alias CullingVolume
* @constructor
*
* @param {Cartesian4[]} [planes] An array of clipping planes.
*/
function CullingVolume(planes) {
/**
* Each plane is represented by a 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.
* @type {Cartesian4[]}
* @default []
*/
this.planes = when.defaultValue(planes, []);
}
var faces = [new Cartographic.Cartesian3(), new Cartographic.Cartesian3(), new Cartographic.Cartesian3()];
Cartographic.Cartesian3.clone(Cartographic.Cartesian3.UNIT_X, faces[0]);
Cartographic.Cartesian3.clone(Cartographic.Cartesian3.UNIT_Y, faces[1]);
Cartographic.Cartesian3.clone(Cartographic.Cartesian3.UNIT_Z, faces[2]);
var scratchPlaneCenter = new Cartographic.Cartesian3();
var scratchPlaneNormal = new Cartographic.Cartesian3();
var scratchPlane = new Plane.Plane(new Cartographic.Cartesian3(1.0, 0.0, 0.0), 0.0);
/**
* Constructs a culling volume from a bounding sphere. Creates six planes that create a box containing the sphere.
* The planes are aligned to the x, y, and z axes in world coordinates.
*
* @param {BoundingSphere} boundingSphere The bounding sphere used to create the culling volume.
* @param {CullingVolume} [result] The object onto which to store the result.
* @returns {CullingVolume} The culling volume created from the bounding sphere.
*/
CullingVolume.fromBoundingSphere = function(boundingSphere, result) {
//>>includeStart('debug', pragmas.debug);
if (!when.defined(boundingSphere)) {
throw new Check.DeveloperError('boundingSphere is required.');
}
//>>includeEnd('debug');
if (!when.defined(result)) {
result = new CullingVolume();
}
var length = faces.length;
var planes = result.planes;
planes.length = 2 * length;
var center = boundingSphere.center;
var radius = boundingSphere.radius;
var planeIndex = 0;
for (var i = 0; i < length; ++i) {
var faceNormal = faces[i];
var plane0 = planes[planeIndex];
var plane1 = planes[planeIndex + 1];
if (!when.defined(plane0)) {
plane0 = planes[planeIndex] = new Cartesian4.Cartesian4();
}
if (!when.defined(plane1)) {
plane1 = planes[planeIndex + 1] = new Cartesian4.Cartesian4();
}
Cartographic.Cartesian3.multiplyByScalar(faceNormal, -radius, scratchPlaneCenter);
Cartographic.Cartesian3.add(center, scratchPlaneCenter, scratchPlaneCenter);
plane0.x = faceNormal.x;
plane0.y = faceNormal.y;
plane0.z = faceNormal.z;
plane0.w = -Cartographic.Cartesian3.dot(faceNormal, scratchPlaneCenter);
Cartographic.Cartesian3.multiplyByScalar(faceNormal, radius, scratchPlaneCenter);
Cartographic.Cartesian3.add(center, scratchPlaneCenter, scratchPlaneCenter);
plane1.x = -faceNormal.x;
plane1.y = -faceNormal.y;
plane1.z = -faceNormal.z;
plane1.w = -Cartographic.Cartesian3.dot(Cartographic.Cartesian3.negate(faceNormal, scratchPlaneNormal), scratchPlaneCenter);
planeIndex += 2;
}
return result;
};
/**
* Determines whether a bounding volume intersects the culling volume.
*
* @param {Object} boundingVolume The bounding volume whose intersection with the culling volume is to be tested.
* @returns {Intersect} Intersect.OUTSIDE, Intersect.INTERSECTING, or Intersect.INSIDE.
*/
CullingVolume.prototype.computeVisibility = function(boundingVolume) {
//>>includeStart('debug', pragmas.debug);
if (!when.defined(boundingVolume)) {
throw new Check.DeveloperError('boundingVolume is required.');
}
//>>includeEnd('debug');
var planes = this.planes;
var intersecting = false;
for (var k = 0, len = planes.length; k < len; ++k) {
var result = boundingVolume.intersectPlane(Plane.Plane.fromCartesian4(planes[k], scratchPlane));
if (result === BoundingSphere.Intersect.OUTSIDE) {
return BoundingSphere.Intersect.OUTSIDE;
} else if (result === BoundingSphere.Intersect.INTERSECTING) {
intersecting = true;
}
}
return intersecting ? BoundingSphere.Intersect.INTERSECTING : BoundingSphere.Intersect.INSIDE;
};
/**
* Determines whether a bounding volume intersects the culling volume.
*
* @param {Object} boundingVolume The bounding volume whose intersection with the culling volume is to be tested.
* @param {Number} parentPlaneMask A bit mask from the boundingVolume's parent's check against the same culling
* volume, such that if (planeMask & (1 << planeIndex) === 0), for k < 31, then
* the parent (and therefore this) volume is completely inside plane[planeIndex]
* and that plane check can be skipped.
* @returns {Number} A plane mask as described above (which can be applied to this boundingVolume's children).
*
* @private
*/
CullingVolume.prototype.computeVisibilityWithPlaneMask = function(boundingVolume, parentPlaneMask) {
//>>includeStart('debug', pragmas.debug);
if (!when.defined(boundingVolume)) {
throw new Check.DeveloperError('boundingVolume is required.');
}
if (!when.defined(parentPlaneMask)) {
throw new Check.DeveloperError('parentPlaneMask is required.');
}
//>>includeEnd('debug');
if (parentPlaneMask === CullingVolume.MASK_OUTSIDE || parentPlaneMask === CullingVolume.MASK_INSIDE) {
// parent is completely outside or completely inside, so this child is as well.
return parentPlaneMask;
}
// Start with MASK_INSIDE (all zeros) so that after the loop, the return value can be compared with MASK_INSIDE.
// (Because if there are fewer than 31 planes, the upper bits wont be changed.)
var mask = CullingVolume.MASK_INSIDE;
var planes = this.planes;
for (var k = 0, len = planes.length; k < len; ++k) {
// For k greater than 31 (since 31 is the maximum number of INSIDE/INTERSECTING bits we can store), skip the optimization.
var flag = (k < 31) ? (1 << k) : 0;
if (k < 31 && (parentPlaneMask & flag) === 0) {
// boundingVolume is known to be INSIDE this plane.
continue;
}
var result = boundingVolume.intersectPlane(Plane.Plane.fromCartesian4(planes[k], scratchPlane));
if (result === BoundingSphere.Intersect.OUTSIDE) {
return CullingVolume.MASK_OUTSIDE;
} else if (result === BoundingSphere.Intersect.INTERSECTING) {
mask |= flag;
}
}
return mask;
};
/**
* For plane masks (as used in {@link CullingVolume#computeVisibilityWithPlaneMask}), this special value
* represents the case where the object bounding volume is entirely outside the culling volume.
*
* @type {Number}
* @private
*/
CullingVolume.MASK_OUTSIDE = 0xffffffff;
/**
* For plane masks (as used in {@link CullingVolume.prototype.computeVisibilityWithPlaneMask}), this value
* represents the case where the object bounding volume is entirely inside the culling volume.
*
* @type {Number}
* @private
*/
CullingVolume.MASK_INSIDE = 0x00000000;
/**
* For plane masks (as used in {@link CullingVolume.prototype.computeVisibilityWithPlaneMask}), this value
* represents the case where the object bounding volume (may) intersect all planes of the culling volume.
*
* @type {Number}
* @private
*/
CullingVolume.MASK_INDETERMINATE = 0x7fffffff;
/**
* 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 OrthographicOffCenterFrustum
* @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
* var maxRadii = ellipsoid.maximumRadius;
*
* var frustum = new Cesium.OrthographicOffCenterFrustum();
* frustum.right = maxRadii * Cesium.Math.PI;
* frustum.left = -c.frustum.right;
* frustum.top = c.frustum.right * (canvas.clientHeight / canvas.clientWidth);
* frustum.bottom = -c.frustum.top;
* frustum.near = 0.01 * maxRadii;
* frustum.far = 50.0 * maxRadii;
*/
function OrthographicOffCenterFrustum(options) {
options = when.defaultValue(options, when.defaultValue.EMPTY_OBJECT);
/**
* The left clipping plane.
* @type {Number}
* @default undefined
*/
this.left = options.left;
this._left = undefined;
/**
* The right clipping plane.
* @type {Number}
* @default undefined
*/
this.right = options.right;
this._right = undefined;
/**
* The top clipping plane.
* @type {Number}
* @default undefined
*/
this.top = options.top;
this._top = undefined;
/**
* 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 = when.defaultValue(options.near, 1.0);
this._near = this.near;
/**
* The distance of the far plane.
* @type {Number}
* @default 500000000.0;
*/
this.far = when.defaultValue(options.far, 500000000.0);
this._far = this.far;
this._cullingVolume = new CullingVolume();
this._orthographicMatrix = new BoundingSphere.Matrix4();
}
function update(frustum) {
//>>includeStart('debug', pragmas.debug);
if (!when.defined(frustum.right) || !when.defined(frustum.left) ||
!when.defined(frustum.top) || !when.defined(frustum.bottom) ||
!when.defined(frustum.near) || !when.defined(frustum.far)) {
throw new Check.DeveloperError('right, left, top, bottom, near, or far parameters are not set.');
}
//>>includeEnd('debug');
if (frustum.top !== frustum._top || frustum.bottom !== frustum._bottom ||
frustum.left !== frustum._left || frustum.right !== frustum._right ||
frustum.near !== frustum._near || frustum.far !== frustum._far) {
//>>includeStart('debug', pragmas.debug);
if (frustum.left > frustum.right) {
throw new Check.DeveloperError('right must be greater than left.');
}
if (frustum.bottom > frustum.top) {
throw new Check.DeveloperError('top must be greater than bottom.');
}
if (frustum.near <= 0 || frustum.near > frustum.far) {
throw new Check.DeveloperError('near must be greater than zero and less than far.');
}
//>>includeEnd('debug');
frustum._left = frustum.left;
frustum._right = frustum.right;
frustum._top = frustum.top;
frustum._bottom = frustum.bottom;
frustum._near = frustum.near;
frustum._far = frustum.far;
frustum._orthographicMatrix = BoundingSphere.Matrix4.computeOrthographicOffCenter(frustum.left, frustum.right, frustum.bottom, frustum.top, frustum.near, frustum.far, frustum._orthographicMatrix);
}
}
Object.defineProperties(OrthographicOffCenterFrustum.prototype, {
/**
* Gets the orthographic projection matrix computed from the view frustum.
* @memberof OrthographicOffCenterFrustum.prototype
* @type {Matrix4}
* @readonly
*/
projectionMatrix : {
get : function() {
update(this);
return this._orthographicMatrix;
}
}
});
var getPlanesRight = new Cartographic.Cartesian3();
var getPlanesNearCenter = new Cartographic.Cartesian3();
var getPlanesPoint = new Cartographic.Cartesian3();
var negateScratch = new Cartographic.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.
* var cullingVolume = frustum.computeCullingVolume(cameraPosition, cameraDirection, cameraUp);
* var intersect = cullingVolume.computeVisibility(boundingVolume);
*/
OrthographicOffCenterFrustum.prototype.computeCullingVolume = function(position, direction, up) {
//>>includeStart('debug', pragmas.debug);
if (!when.defined(position)) {
throw new Check.DeveloperError('position is required.');
}
if (!when.defined(direction)) {
throw new Check.DeveloperError('direction is required.');
}
if (!when.defined(up)) {
throw new Check.DeveloperError('up is required.');
}
//>>includeEnd('debug');
var planes = this._cullingVolume.planes;
var t = this.top;
var b = this.bottom;
var r = this.right;
var l = this.left;
var n = this.near;
var f = this.far;
var right = Cartographic.Cartesian3.cross(direction, up, getPlanesRight);
Cartographic.Cartesian3.normalize(right, right);
var nearCenter = getPlanesNearCenter;
Cartographic.Cartesian3.multiplyByScalar(direction, n, nearCenter);
Cartographic.Cartesian3.add(position, nearCenter, nearCenter);
var point = getPlanesPoint;
// Left plane
Cartographic.Cartesian3.multiplyByScalar(right, l, point);
Cartographic.Cartesian3.add(nearCenter, point, point);
var plane = planes[0];
if (!when.defined(plane)) {
plane = planes[0] = new Cartesian4.Cartesian4();
}
plane.x = right.x;
plane.y = right.y;
plane.z = right.z;
plane.w = -Cartographic.Cartesian3.dot(right, point);
// Right plane
Cartographic.Cartesian3.multiplyByScalar(right, r, point);
Cartographic.Cartesian3.add(nearCenter, point, point);
plane = planes[1];
if (!when.defined(plane)) {
plane = planes[1] = new Cartesian4.Cartesian4();
}
plane.x = -right.x;
plane.y = -right.y;
plane.z = -right.z;
plane.w = -Cartographic.Cartesian3.dot(Cartographic.Cartesian3.negate(right, negateScratch), point);
// Bottom plane
Cartographic.Cartesian3.multiplyByScalar(up, b, point);
Cartographic.Cartesian3.add(nearCenter, point, point);
plane = planes[2];
if (!when.defined(plane)) {
plane = planes[2] = new Cartesian4.Cartesian4();
}
plane.x = up.x;
plane.y = up.y;
plane.z = up.z;
plane.w = -Cartographic.Cartesian3.dot(up, point);
// Top plane
Cartographic.Cartesian3.multiplyByScalar(up, t, point);
Cartographic.Cartesian3.add(nearCenter, point, point);
plane = planes[3];
if (!when.defined(plane)) {
plane = planes[3] = new Cartesian4.Cartesian4();
}
plane.x = -up.x;
plane.y = -up.y;
plane.z = -up.z;
plane.w = -Cartographic.Cartesian3.dot(Cartographic.Cartesian3.negate(up, negateScratch), point);
// Near plane
plane = planes[4];
if (!when.defined(plane)) {
plane = planes[4] = new Cartesian4.Cartesian4();
}
plane.x = direction.x;
plane.y = direction.y;
plane.z = direction.z;
plane.w = -Cartographic.Cartesian3.dot(direction, nearCenter);
// Far plane
Cartographic.Cartesian3.multiplyByScalar(direction, f, point);
Cartographic.Cartesian3.add(position, point, point);
plane = planes[5];
if (!when.defined(plane)) {
plane = planes[5] = new Cartesian4.Cartesian4();
}
plane.x = -direction.x;
plane.y = -direction.y;
plane.z = -direction.z;
plane.w = -Cartographic.Cartesian3.dot(Cartographic.Cartesian3.negate(direction, negateScratch), point);
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.
* var pixelSize = camera.frustum.getPixelDimensions(scene.drawingBufferWidth, scene.drawingBufferHeight, 0.0, scene.pixelRatio, new Cesium.Cartesian2());
*/
OrthographicOffCenterFrustum.prototype.getPixelDimensions = function(drawingBufferWidth, drawingBufferHeight, distance, pixelRatio, result) {
update(this);
//>>includeStart('debug', pragmas.debug);
if (!when.defined(drawingBufferWidth) || !when.defined(drawingBufferHeight)) {
throw new Check.DeveloperError('Both drawingBufferWidth and drawingBufferHeight are required.');
}
if (drawingBufferWidth <= 0) {
throw new Check.DeveloperError('drawingBufferWidth must be greater than zero.');
}
if (drawingBufferHeight <= 0) {
throw new Check.DeveloperError('drawingBufferHeight must be greater than zero.');
}
if (!when.defined(distance)) {
throw new Check.DeveloperError('distance is required.');
}
if (!when.defined(pixelRatio)) {
throw new Check.DeveloperError('pixelRatio is required.');
}
if (pixelRatio <= 0) {
throw new Check.DeveloperError('pixelRatio must be greater than zero.');
}
if (!when.defined(result)) {
throw new Check.DeveloperError('A result object is required.');
}
//>>includeEnd('debug');
var frustumWidth = this.right - this.left;
var frustumHeight = this.top - this.bottom;
var pixelWidth = pixelRatio * frustumWidth / drawingBufferWidth;
var pixelHeight = pixelRatio * frustumHeight / drawingBufferHeight;
result.x = pixelWidth;
result.y = pixelHeight;
return result;
};
/**
* Returns a duplicate of a OrthographicOffCenterFrustum instance.
*
* @param {OrthographicOffCenterFrustum} [result] The object onto which to store the result.
* @returns {OrthographicOffCenterFrustum} The modified result parameter or a new OrthographicOffCenterFrustum instance if one was not provided.
*/
OrthographicOffCenterFrustum.prototype.clone = function(result) {
if (!when.defined(result)) {
result = new OrthographicOffCenterFrustum();
}
result.left = this.left;
result.right = this.right;
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 OrthographicOffCenterFrustum componentwise and returns
* true if they are equal, false otherwise.
*
* @param {OrthographicOffCenterFrustum} [other] The right hand side OrthographicOffCenterFrustum.
* @returns {Boolean} true if they are equal, false otherwise.
*/
OrthographicOffCenterFrustum.prototype.equals = function(other) {
return (when.defined(other) && other instanceof OrthographicOffCenterFrustum &&
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 OrthographicOffCenterFrustum componentwise and returns
* true if they pass an absolute or relative tolerance test,
* false otherwise.
*
* @param {OrthographicOffCenterFrustum} other The right hand side OrthographicOffCenterFrustum.
* @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.
*/
OrthographicOffCenterFrustum.prototype.equalsEpsilon = function(other, relativeEpsilon, absoluteEpsilon) {
return (other === this) ||
(when.defined(other) &&
other instanceof OrthographicOffCenterFrustum &&
_Math.CesiumMath.equalsEpsilon(this.right, other.right, relativeEpsilon, absoluteEpsilon) &&
_Math.CesiumMath.equalsEpsilon(this.left, other.left, relativeEpsilon, absoluteEpsilon) &&
_Math.CesiumMath.equalsEpsilon(this.top, other.top, relativeEpsilon, absoluteEpsilon) &&
_Math.CesiumMath.equalsEpsilon(this.bottom, other.bottom, relativeEpsilon, absoluteEpsilon) &&
_Math.CesiumMath.equalsEpsilon(this.near, other.near, relativeEpsilon, absoluteEpsilon) &&
_Math.CesiumMath.equalsEpsilon(this.far, other.far, relativeEpsilon, absoluteEpsilon));
};
/**
* 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 OrthographicFrustum
* @constructor
*
* @param {Object} [options] An object with the following properties:
* @param {Number} [options.width] The width of the frustum in meters.
* @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.
*
* @example
* var maxRadii = ellipsoid.maximumRadius;
*
* var frustum = new Cesium.OrthographicFrustum();
* frustum.near = 0.01 * maxRadii;
* frustum.far = 50.0 * maxRadii;
*/
function OrthographicFrustum(options) {
options = when.defaultValue(options, when.defaultValue.EMPTY_OBJECT);
this._offCenterFrustum = new OrthographicOffCenterFrustum();
/**
* The horizontal width of the frustum in meters.
* @type {Number}
* @default undefined
*/
this.width = options.width;
this._width = 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 = when.defaultValue(options.near, 1.0);
this._near = this.near;
/**
* The distance of the far plane.
* @type {Number}
* @default 500000000.0;
*/
this.far = when.defaultValue(options.far, 500000000.0);
this._far = this.far;
}
/**
* The number of elements used to pack the object into an array.
* @type {Number}
*/
OrthographicFrustum.packedLength = 4;
/**
* Stores the provided instance into the provided array.
*
* @param {OrthographicFrustum} 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
*/
OrthographicFrustum.pack = function(value, array, startingIndex) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('value', value);
Check.Check.defined('array', array);
//>>includeEnd('debug');
startingIndex = when.defaultValue(startingIndex, 0);
array[startingIndex++] = value.width;
array[startingIndex++] = value.aspectRatio;
array[startingIndex++] = value.near;
array[startingIndex] = value.far;
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 {OrthographicFrustum} [result] The object into which to store the result.
* @returns {OrthographicFrustum} The modified result parameter or a new OrthographicFrustum instance if one was not provided.
*/
OrthographicFrustum.unpack = function(array, startingIndex, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.defined('array', array);
//>>includeEnd('debug');
startingIndex = when.defaultValue(startingIndex, 0);
if (!when.defined(result)) {
result = new OrthographicFrustum();
}
result.width = array[startingIndex++];
result.aspectRatio = array[startingIndex++];
result.near = array[startingIndex++];
result.far = array[startingIndex];
return result;
};
function update$1(frustum) {
//>>includeStart('debug', pragmas.debug);
if (!when.defined(frustum.width) || !when.defined(frustum.aspectRatio) || !when.defined(frustum.near) || !when.defined(frustum.far)) {
throw new Check.DeveloperError('width, aspectRatio, near, or far parameters are not set.');
}
//>>includeEnd('debug');
var f = frustum._offCenterFrustum;
if (frustum.width !== frustum._width || frustum.aspectRatio !== frustum._aspectRatio ||
frustum.near !== frustum._near || frustum.far !== frustum._far) {
//>>includeStart('debug', pragmas.debug);
if (frustum.aspectRatio < 0) {
throw new Check.DeveloperError('aspectRatio must be positive.');
}
if (frustum.near < 0 || frustum.near > frustum.far) {
throw new Check.DeveloperError('near must be greater than zero and less than far.');
}
//>>includeEnd('debug');
frustum._aspectRatio = frustum.aspectRatio;
frustum._width = frustum.width;
frustum._near = frustum.near;
frustum._far = frustum.far;
var ratio = 1.0 / frustum.aspectRatio;
f.right = frustum.width * 0.5;
f.left = -f.right;
f.top = ratio * f.right;
f.bottom = -f.top;
f.near = frustum.near;
f.far = frustum.far;
}
}
Object.defineProperties(OrthographicFrustum.prototype, {
/**
* Gets the orthographic projection matrix computed from the view frustum.
* @memberof OrthographicFrustum.prototype
* @type {Matrix4}
* @readonly
*/
projectionMatrix : {
get : function() {
update$1(this);
return this._offCenterFrustum.projectionMatrix;
}
}
});
/**
* 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.
* var cullingVolume = frustum.computeCullingVolume(cameraPosition, cameraDirection, cameraUp);
* var intersect = cullingVolume.computeVisibility(boundingVolume);
*/
OrthographicFrustum.prototype.computeCullingVolume = function(position, direction, up) {
update$1(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.
* var pixelSize = camera.frustum.getPixelDimensions(scene.drawingBufferWidth, scene.drawingBufferHeight, 0.0, scene.pixelRatio, new Cesium.Cartesian2());
*/
OrthographicFrustum.prototype.getPixelDimensions = function(drawingBufferWidth, drawingBufferHeight, distance, pixelRatio, result) {
update$1(this);
return this._offCenterFrustum.getPixelDimensions(drawingBufferWidth, drawingBufferHeight, distance, pixelRatio, result);
};
/**
* Returns a duplicate of a OrthographicFrustum instance.
*
* @param {OrthographicFrustum} [result] The object onto which to store the result.
* @returns {OrthographicFrustum} The modified result parameter or a new OrthographicFrustum instance if one was not provided.
*/
OrthographicFrustum.prototype.clone = function(result) {
if (!when.defined(result)) {
result = new OrthographicFrustum();
}
result.aspectRatio = this.aspectRatio;
result.width = this.width;
result.near = this.near;
result.far = this.far;
// force update of clone to compute matrices
result._aspectRatio = undefined;
result._width = undefined;
result._near = undefined;
result._far = undefined;
this._offCenterFrustum.clone(result._offCenterFrustum);
return result;
};
/**
* Compares the provided OrthographicFrustum componentwise and returns
* true if they are equal, false otherwise.
*
* @param {OrthographicFrustum} [other] The right hand side OrthographicFrustum.
* @returns {Boolean} true if they are equal, false otherwise.
*/
OrthographicFrustum.prototype.equals = function(other) {
if (!when.defined(other) || !(other instanceof OrthographicFrustum)) {
return false;
}
update$1(this);
update$1(other);
return (this.width === other.width &&
this.aspectRatio === other.aspectRatio &&
this._offCenterFrustum.equals(other._offCenterFrustum));
};
/**
* Compares the provided OrthographicFrustum componentwise and returns
* true if they pass an absolute or relative tolerance test,
* false otherwise.
*
* @param {OrthographicFrustum} other The right hand side OrthographicFrustum.
* @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.
*/
OrthographicFrustum.prototype.equalsEpsilon = function(other, relativeEpsilon, absoluteEpsilon) {
if (!when.defined(other) || !(other instanceof OrthographicFrustum)) {
return false;
}
update$1(this);
update$1(other);
return (_Math.CesiumMath.equalsEpsilon(this.width, other.width, relativeEpsilon, absoluteEpsilon) &&
_Math.CesiumMath.equalsEpsilon(this.aspectRatio, other.aspectRatio, relativeEpsilon, absoluteEpsilon) &&
this._offCenterFrustum.equalsEpsilon(other._offCenterFrustum, relativeEpsilon, absoluteEpsilon));
};
/**
* 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
* var 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 = when.defaultValue(options, when.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 = when.defaultValue(options.near, 1.0);
this._near = this.near;
/**
* The distance of the far plane.
* @type {Number}
* @default 500000000.0
*/
this.far = when.defaultValue(options.far, 500000000.0);
this._far = this.far;
this._cullingVolume = new CullingVolume();
this._perspectiveMatrix = new BoundingSphere.Matrix4();
this._infinitePerspective = new BoundingSphere.Matrix4();
}
function update$2(frustum) {
//>>includeStart('debug', pragmas.debug);
if (!when.defined(frustum.right) || !when.defined(frustum.left) ||
!when.defined(frustum.top) || !when.defined(frustum.bottom) ||
!when.defined(frustum.near) || !when.defined(frustum.far)) {
throw new Check.DeveloperError('right, left, top, bottom, near, or far parameters are not set.');
}
//>>includeEnd('debug');
var t = frustum.top;
var b = frustum.bottom;
var r = frustum.right;
var l = frustum.left;
var n = frustum.near;
var 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 Check.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 = BoundingSphere.Matrix4.computePerspectiveOffCenter(l, r, b, t, n, f, frustum._perspectiveMatrix);
frustum._infinitePerspective = BoundingSphere.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$2(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$2(this);
return this._infinitePerspective;
}
}
});
var getPlanesRight$1 = new Cartographic.Cartesian3();
var getPlanesNearCenter$1 = new Cartographic.Cartesian3();
var getPlanesFarCenter = new Cartographic.Cartesian3();
var getPlanesNormal = new Cartographic.Cartesian3();
PerspectiveOffCenterFrustum.prototype.resetProjectionMatrix = function() {
//>>includeStart('debug', pragmas.debug);
if (!when.defined(this.right) || !when.defined(this.left) ||
!when.defined(this.top) || !when.defined(this.bottom) ||
!when.defined(this.near) || !when.defined(this.far)) {
throw new Check.DeveloperError('right, left, top, bottom, near, or far parameters are not set.');
}
//>>includeEnd('debug');
var t = this.top;
var b = this.bottom;
var r = this.right;
var l = this.left;
var n = this.near;
var f = this.far;
//>>includeStart('debug', pragmas.debug);
if (this.near <= 0 || this.near > this.far) {
throw new Check.DeveloperError('near must be greater than zero and less than far.');
}
//>>includeEnd('debug');
this._left = l;
this._right = r;
this._top = t;
this._bottom = b;
this._near = n;
this._far = f;
this._perspectiveMatrix = BoundingSphere.Matrix4.computePerspectiveOffCenter(l, r, b, t, n, f, this._perspectiveMatrix);
this._infinitePerspective = BoundingSphere.Matrix4.computeInfinitePerspectiveOffCenter(l, r, b, t, n, this._infinitePerspective);
};
/**
* 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.
* var cullingVolume = frustum.computeCullingVolume(cameraPosition, cameraDirection, cameraUp);
* var intersect = cullingVolume.computeVisibility(boundingVolume);
*/
PerspectiveOffCenterFrustum.prototype.computeCullingVolume = function(position, direction, up) {
//>>includeStart('debug', pragmas.debug);
if (!when.defined(position)) {
throw new Check.DeveloperError('position is required.');
}
if (!when.defined(direction)) {
throw new Check.DeveloperError('direction is required.');
}
if (!when.defined(up)) {
throw new Check.DeveloperError('up is required.');
}
//>>includeEnd('debug');
var planes = this._cullingVolume.planes;
var t = this.top;
var b = this.bottom;
var r = this.right;
var l = this.left;
var n = this.near;
var f = this.far;
var right = Cartographic.Cartesian3.cross(direction, up, getPlanesRight$1);
var nearCenter = getPlanesNearCenter$1;
Cartographic.Cartesian3.multiplyByScalar(direction, n, nearCenter);
Cartographic.Cartesian3.add(position, nearCenter, nearCenter);
var farCenter = getPlanesFarCenter;
Cartographic.Cartesian3.multiplyByScalar(direction, f, farCenter);
Cartographic.Cartesian3.add(position, farCenter, farCenter);
var normal = getPlanesNormal;
//Left plane computation
Cartographic.Cartesian3.multiplyByScalar(right, l, normal);
Cartographic.Cartesian3.add(nearCenter, normal, normal);
Cartographic.Cartesian3.subtract(normal, position, normal);
Cartographic.Cartesian3.normalize(normal, normal);
Cartographic.Cartesian3.cross(normal, up, normal);
Cartographic.Cartesian3.normalize(normal, normal);
var plane = planes[0];
if (!when.defined(plane)) {
plane = planes[0] = new Cartesian4.Cartesian4();
}
plane.x = normal.x;
plane.y = normal.y;
plane.z = normal.z;
plane.w = -Cartographic.Cartesian3.dot(normal, position);
//Right plane computation
Cartographic.Cartesian3.multiplyByScalar(right, r, normal);
Cartographic.Cartesian3.add(nearCenter, normal, normal);
Cartographic.Cartesian3.subtract(normal, position, normal);
Cartographic.Cartesian3.cross(up, normal, normal);
Cartographic.Cartesian3.normalize(normal, normal);
plane = planes[1];
if (!when.defined(plane)) {
plane = planes[1] = new Cartesian4.Cartesian4();
}
plane.x = normal.x;
plane.y = normal.y;
plane.z = normal.z;
plane.w = -Cartographic.Cartesian3.dot(normal, position);
//Bottom plane computation
Cartographic.Cartesian3.multiplyByScalar(up, b, normal);
Cartographic.Cartesian3.add(nearCenter, normal, normal);
Cartographic.Cartesian3.subtract(normal, position, normal);
Cartographic.Cartesian3.cross(right, normal, normal);
Cartographic.Cartesian3.normalize(normal, normal);
plane = planes[2];
if (!when.defined(plane)) {
plane = planes[2] = new Cartesian4.Cartesian4();
}
plane.x = normal.x;
plane.y = normal.y;
plane.z = normal.z;
plane.w = -Cartographic.Cartesian3.dot(normal, position);
//Top plane computation
Cartographic.Cartesian3.multiplyByScalar(up, t, normal);
Cartographic.Cartesian3.add(nearCenter, normal, normal);
Cartographic.Cartesian3.subtract(normal, position, normal);
Cartographic.Cartesian3.cross(normal, right, normal);
Cartographic.Cartesian3.normalize(normal, normal);
plane = planes[3];
if (!when.defined(plane)) {
plane = planes[3] = new Cartesian4.Cartesian4();
}
plane.x = normal.x;
plane.y = normal.y;
plane.z = normal.z;
plane.w = -Cartographic.Cartesian3.dot(normal, position);
//Near plane computation
plane = planes[4];
if (!when.defined(plane)) {
plane = planes[4] = new Cartesian4.Cartesian4();
}
plane.x = direction.x;
plane.y = direction.y;
plane.z = direction.z;
plane.w = -Cartographic.Cartesian3.dot(direction, nearCenter);
//Far plane computation
Cartographic.Cartesian3.negate(direction, normal);
plane = planes[5];
if (!when.defined(plane)) {
plane = planes[5] = new Cartesian4.Cartesian4();
}
plane.x = normal.x;
plane.y = normal.y;
plane.z = normal.z;
plane.w = -Cartographic.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.
* var 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.
* var position = camera.position;
* var direction = camera.direction;
* var toCenter = Cesium.Cartesian3.subtract(primitive.boundingVolume.center, position, new Cesium.Cartesian3()); // vector from camera to a primitive
* var toCenterProj = Cesium.Cartesian3.multiplyByScalar(direction, Cesium.Cartesian3.dot(direction, toCenter), new Cesium.Cartesian3()); // project vector onto camera direction vector
* var distance = Cesium.Cartesian3.magnitude(toCenterProj);
* var pixelSize = camera.frustum.getPixelDimensions(scene.drawingBufferWidth, scene.drawingBufferHeight, distance, scene.pixelRatio, new Cesium.Cartesian2());
*/
PerspectiveOffCenterFrustum.prototype.getPixelDimensions = function(drawingBufferWidth, drawingBufferHeight, distance, pixelRatio, result) {
update$2(this);
//>>includeStart('debug', pragmas.debug);
if (!when.defined(drawingBufferWidth) || !when.defined(drawingBufferHeight)) {
throw new Check.DeveloperError('Both drawingBufferWidth and drawingBufferHeight are required.');
}
if (drawingBufferWidth <= 0) {
throw new Check.DeveloperError('drawingBufferWidth must be greater than zero.');
}
if (drawingBufferHeight <= 0) {
throw new Check.DeveloperError('drawingBufferHeight must be greater than zero.');
}
if (!when.defined(distance)) {
throw new Check.DeveloperError('distance is required.');
}
if (!when.defined(pixelRatio)) {
throw new Check.DeveloperError('pixelRatio is required');
}
if (pixelRatio <= 0) {
throw new Check.DeveloperError('pixelRatio must be greater than zero.');
}
if (!when.defined(result)) {
throw new Check.DeveloperError('A result object is required.');
}
//>>includeEnd('debug');
var inverseNear = 1.0 / this.near;
var tanTheta = this.top * inverseNear;
var pixelHeight = 2.0 * pixelRatio * distance * tanTheta / drawingBufferHeight;
tanTheta = this.right * inverseNear;
var 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 (!when.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
* true if they are equal, false otherwise.
*
* @param {PerspectiveOffCenterFrustum} [other] The right hand side PerspectiveOffCenterFrustum.
* @returns {Boolean} true if they are equal, false otherwise.
*/
PerspectiveOffCenterFrustum.prototype.equals = function(other) {
return (when.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
* true if they pass an absolute or relative tolerance test,
* false 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} true if this and other are within the provided epsilon, false otherwise.
*/
PerspectiveOffCenterFrustum.prototype.equalsEpsilon = function(other, relativeEpsilon, absoluteEpsilon) {
return (other === this) ||
(when.defined(other) &&
other instanceof PerspectiveOffCenterFrustum &&
_Math.CesiumMath.equalsEpsilon(this.right, other.right, relativeEpsilon, absoluteEpsilon) &&
_Math.CesiumMath.equalsEpsilon(this.left, other.left, relativeEpsilon, absoluteEpsilon) &&
_Math.CesiumMath.equalsEpsilon(this.top, other.top, relativeEpsilon, absoluteEpsilon) &&
_Math.CesiumMath.equalsEpsilon(this.bottom, other.bottom, relativeEpsilon, absoluteEpsilon) &&
_Math.CesiumMath.equalsEpsilon(this.near, other.near, relativeEpsilon, absoluteEpsilon) &&
_Math.CesiumMath.equalsEpsilon(this.far, other.far, relativeEpsilon, absoluteEpsilon));
};
/**
* 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
* var 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 = when.defaultValue(options, when.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 = when.defaultValue(options.near, 1.0);
this._near = this.near;
/**
* The distance of the far plane.
* @type {Number}
* @default 500000000.0
*/
this.far = when.defaultValue(options.far, 500000000.0);
this._far = this.far;
/**
* Offsets the frustum in the x direction.
* @type {Number}
* @default 0.0
*/
this.xOffset = when.defaultValue(options.xOffset, 0.0);
this._xOffset = this.xOffset;
/**
* Offsets the frustum in the y direction.
* @type {Number}
* @default 0.0
*/
this.yOffset = when.defaultValue(options.yOffset, 0.0);
this._yOffset = this.yOffset;
this.reflect = false;
}
/**
* 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.Check.typeOf.object('value', value);
Check.Check.defined('array', array);
//>>includeEnd('debug');
startingIndex = when.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.Check.defined('array', array);
//>>includeEnd('debug');
startingIndex = when.defaultValue(startingIndex, 0);
if (!when.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$3(frustum) {
//>>includeStart('debug', pragmas.debug);
if (!when.defined(frustum.fov) || !when.defined(frustum.aspectRatio) || !when.defined(frustum.near) || !when.defined(frustum.far)) {
throw new Check.DeveloperError('fov, aspectRatio, near, or far parameters are not set.');
}
//>>includeEnd('debug');
var 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 Check.DeveloperError('fov must be in the range [0, PI).');
}
if (frustum.aspectRatio < 0) {
throw new Check.DeveloperError('aspectRatio must be positive.');
}
if (frustum.near < 0 || frustum.near > frustum.far) {
throw new Check.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$3(this);
if(this.reflect){
modifyProjectionMatrix(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$3(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$3(this);
return this._fovy;
}
},
/**
* @readonly
* @private
*/
sseDenominator : {
get : function () {
update$3(this);
return this._sseDenominator;
}
}
});
PerspectiveFrustum.prototype.resetProjectionMatrix = function() {
return this._offCenterFrustum.resetProjectionMatrix();
};
/**
* 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.
* var cullingVolume = frustum.computeCullingVolume(cameraPosition, cameraDirection, cameraUp);
* var intersect = cullingVolume.computeVisibility(boundingVolume);
*/
PerspectiveFrustum.prototype.computeCullingVolume = function(position, direction, up) {
update$3(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.
* var 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.
* var position = camera.position;
* var direction = camera.direction;
* var toCenter = Cesium.Cartesian3.subtract(primitive.boundingVolume.center, position, new Cesium.Cartesian3()); // vector from camera to a primitive
* var toCenterProj = Cesium.Cartesian3.multiplyByScalar(direction, Cesium.Cartesian3.dot(direction, toCenter), new Cesium.Cartesian3()); // project vector onto camera direction vector
* var distance = Cesium.Cartesian3.magnitude(toCenterProj);
* var pixelSize = camera.frustum.getPixelDimensions(scene.drawingBufferWidth, scene.drawingBufferHeight, distance, scene.pixelRatio, new Cesium.Cartesian2());
*/
PerspectiveFrustum.prototype.getPixelDimensions = function(drawingBufferWidth, drawingBufferHeight, distance, pixelRatio, result) {
update$3(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 (!when.defined(result)) {
result = new PerspectiveFrustum();
}
result.aspectRatio = this.aspectRatio;
result.fov = this.fov;
result.near = this.near;
result.far = this.far;
result.reflect = this.reflect;
result.clipPlane = this.clipPlane;
result.currentViewMatrix = this.currentViewMatrix;
// 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 (!when.defined(other) || !(other instanceof PerspectiveFrustum)) {
return false;
}
update$3(this);
update$3(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 (!when.defined(other) || !(other instanceof PerspectiveFrustum)) {
return false;
}
update$3(this);
update$3(other);
return (_Math.CesiumMath.equalsEpsilon(this.fov, other.fov, relativeEpsilon, absoluteEpsilon) &&
_Math.CesiumMath.equalsEpsilon(this.aspectRatio, other.aspectRatio, relativeEpsilon, absoluteEpsilon) &&
this._offCenterFrustum.equalsEpsilon(other._offCenterFrustum, relativeEpsilon, absoluteEpsilon));
};
var scratchViewPlane = new Plane.Plane(Cartographic.Cartesian3.UNIT_Z, 1.0);
var scratchQVec = new Cartesian4.Cartesian4();
var scratchClipPlane4d = new Cartesian4.Cartesian4();
var scratchResult4 = new Cartesian4.Cartesian4();
/**
* modify the near clip plane for reflection
*/
function modifyProjectionMatrix(frustum) {
if(!when.defined(frustum.clipPlane) || !when.defined(frustum.currentViewMatrix)){
return;
}
var viewMatrix = frustum.currentViewMatrix;
var projectionMatrix = frustum._offCenterFrustum.projectionMatrix;
BoundingSphere.Matrix4.multiplyByPlane(viewMatrix, frustum.clipPlane, scratchViewPlane);
scratchQVec.x = (_Math.CesiumMath.sign(scratchViewPlane.normal.x) + projectionMatrix[8]) / projectionMatrix[0];
scratchQVec.y = (_Math.CesiumMath.sign(scratchViewPlane.normal.y) + projectionMatrix[9]) / projectionMatrix[5];
scratchQVec.z = -1.0;
scratchQVec.w = (1 + projectionMatrix[10]) / projectionMatrix[14];
scratchClipPlane4d.x = scratchViewPlane.normal.x;
scratchClipPlane4d.y = scratchViewPlane.normal.y;
scratchClipPlane4d.z = scratchViewPlane.normal.z;
scratchClipPlane4d.w = scratchViewPlane.distance;
Cartesian4.Cartesian4.multiplyByScalar(scratchClipPlane4d, 2.0 / Cartesian4.Cartesian4.dot(scratchClipPlane4d, scratchQVec), scratchResult4);
projectionMatrix[2] = scratchResult4.x;
projectionMatrix[6] = scratchResult4.y;
projectionMatrix[10] = scratchResult4.z + 1.0;
projectionMatrix[14] = scratchResult4.w;
}
var PERSPECTIVE = 0;
var ORTHOGRAPHIC = 1;
/**
* Describes a frustum at the given the origin and orientation.
*
* @alias FrustumGeometry
* @constructor
*
* @param {Object} options Object with the following properties:
* @param {PerspectiveFrustum|OrthographicFrustum} options.frustum The frustum.
* @param {Cartesian3} options.origin The origin of the frustum.
* @param {Quaternion} options.orientation The orientation of the frustum.
* @param {VertexFormat} [options.vertexFormat=VertexFormat.DEFAULT] The vertex attributes to be computed.
*/
function FrustumGeometry(options) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('options', options);
Check.Check.typeOf.object('options.frustum', options.frustum);
Check.Check.typeOf.object('options.origin', options.origin);
Check.Check.typeOf.object('options.orientation', options.orientation);
//>>includeEnd('debug');
var frustum = options.frustum;
var orientation = options.orientation;
var origin = options.origin;
var vertexFormat = when.defaultValue(options.vertexFormat, VertexFormat.VertexFormat.DEFAULT);
// This is private because it is used by DebugCameraPrimitive to draw a multi-frustum by
// creating multiple FrustumGeometrys. This way the near plane of one frustum doesn't overlap
// the far plane of another.
var drawNearPlane = when.defaultValue(options._drawNearPlane, true);
var frustumType;
var frustumPackedLength;
if (frustum instanceof PerspectiveFrustum) {
frustumType = PERSPECTIVE;
frustumPackedLength = PerspectiveFrustum.packedLength;
} else if (frustum instanceof OrthographicFrustum) {
frustumType = ORTHOGRAPHIC;
frustumPackedLength = OrthographicFrustum.packedLength;
}
this._frustumType = frustumType;
this._frustum = frustum.clone();
this._origin = Cartographic.Cartesian3.clone(origin);
this._orientation = Transforms.Quaternion.clone(orientation);
this._drawNearPlane = drawNearPlane;
this._vertexFormat = vertexFormat;
this._workerName = 'createFrustumGeometry';
/**
* The number of elements used to pack the object into an array.
* @type {Number}
*/
this.packedLength = 2 + frustumPackedLength + Cartographic.Cartesian3.packedLength + Transforms.Quaternion.packedLength + VertexFormat.VertexFormat.packedLength;
}
/**
* Stores the provided instance into the provided array.
*
* @param {FrustumGeometry} 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
*/
FrustumGeometry.pack = function(value, array, startingIndex) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('value', value);
Check.Check.defined('array', array);
//>>includeEnd('debug');
startingIndex = when.defaultValue(startingIndex, 0);
var frustumType = value._frustumType;
var frustum = value._frustum;
array[startingIndex++] = frustumType;
if (frustumType === PERSPECTIVE) {
PerspectiveFrustum.pack(frustum, array, startingIndex);
startingIndex += PerspectiveFrustum.packedLength;
} else {
OrthographicFrustum.pack(frustum, array, startingIndex);
startingIndex += OrthographicFrustum.packedLength;
}
Cartographic.Cartesian3.pack(value._origin, array, startingIndex);
startingIndex += Cartographic.Cartesian3.packedLength;
Transforms.Quaternion.pack(value._orientation, array, startingIndex);
startingIndex += Transforms.Quaternion.packedLength;
VertexFormat.VertexFormat.pack(value._vertexFormat, array, startingIndex);
startingIndex += VertexFormat.VertexFormat.packedLength;
array[startingIndex] = value._drawNearPlane ? 1.0 : 0.0;
return array;
};
var scratchPackPerspective = new PerspectiveFrustum();
var scratchPackOrthographic = new OrthographicFrustum();
var scratchPackQuaternion = new Transforms.Quaternion();
var scratchPackorigin = new Cartographic.Cartesian3();
var scratchVertexFormat = new VertexFormat.VertexFormat();
/**
* 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 {FrustumGeometry} [result] The object into which to store the result.
*/
FrustumGeometry.unpack = function(array, startingIndex, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.defined('array', array);
//>>includeEnd('debug');
startingIndex = when.defaultValue(startingIndex, 0);
var frustumType = array[startingIndex++];
var frustum;
if (frustumType === PERSPECTIVE) {
frustum = PerspectiveFrustum.unpack(array, startingIndex, scratchPackPerspective);
startingIndex += PerspectiveFrustum.packedLength;
} else {
frustum = OrthographicFrustum.unpack(array, startingIndex, scratchPackOrthographic);
startingIndex += OrthographicFrustum.packedLength;
}
var origin = Cartographic.Cartesian3.unpack(array, startingIndex, scratchPackorigin);
startingIndex += Cartographic.Cartesian3.packedLength;
var orientation = Transforms.Quaternion.unpack(array, startingIndex, scratchPackQuaternion);
startingIndex += Transforms.Quaternion.packedLength;
var vertexFormat = VertexFormat.VertexFormat.unpack(array, startingIndex, scratchVertexFormat);
startingIndex += VertexFormat.VertexFormat.packedLength;
var drawNearPlane = array[startingIndex] === 1.0;
if (!when.defined(result)) {
return new FrustumGeometry({
frustum : frustum,
origin : origin,
orientation : orientation,
vertexFormat : vertexFormat,
_drawNearPlane : drawNearPlane
});
}
var frustumResult = frustumType === result._frustumType ? result._frustum : undefined;
result._frustum = frustum.clone(frustumResult);
result._frustumType = frustumType;
result._origin = Cartographic.Cartesian3.clone(origin, result._origin);
result._orientation = Transforms.Quaternion.clone(orientation, result._orientation);
result._vertexFormat = VertexFormat.VertexFormat.clone(vertexFormat, result._vertexFormat);
result._drawNearPlane = drawNearPlane;
return result;
};
function getAttributes(offset, normals, tangents, bitangents, st, normal, tangent, bitangent) {
var stOffset = offset / 3 * 2;
for (var i = 0; i < 4; ++i) {
if (when.defined(normals)) {
normals[offset] = normal.x;
normals[offset + 1] = normal.y;
normals[offset + 2] = normal.z;
}
if (when.defined(tangents)) {
tangents[offset] = tangent.x;
tangents[offset + 1] = tangent.y;
tangents[offset + 2] = tangent.z;
}
if (when.defined(bitangents)) {
bitangents[offset] = bitangent.x;
bitangents[offset + 1] = bitangent.y;
bitangents[offset + 2] = bitangent.z;
}
offset += 3;
}
st[stOffset] = 0.0;
st[stOffset + 1] = 0.0;
st[stOffset + 2] = 1.0;
st[stOffset + 3] = 0.0;
st[stOffset + 4] = 1.0;
st[stOffset + 5] = 1.0;
st[stOffset + 6] = 0.0;
st[stOffset + 7] = 1.0;
}
var scratchRotationMatrix = new BoundingSphere.Matrix3();
var scratchViewMatrix = new BoundingSphere.Matrix4();
var scratchInverseMatrix = new BoundingSphere.Matrix4();
var scratchXDirection = new Cartographic.Cartesian3();
var scratchYDirection = new Cartographic.Cartesian3();
var scratchZDirection = new Cartographic.Cartesian3();
var scratchNegativeX = new Cartographic.Cartesian3();
var scratchNegativeY = new Cartographic.Cartesian3();
var scratchNegativeZ = new Cartographic.Cartesian3();
var frustumSplits = new Array(3);
var frustumCornersNDC = new Array(4);
frustumCornersNDC[0] = new Cartesian4.Cartesian4(-1.0, -1.0, 1.0, 1.0);
frustumCornersNDC[1] = new Cartesian4.Cartesian4(1.0, -1.0, 1.0, 1.0);
frustumCornersNDC[2] = new Cartesian4.Cartesian4(1.0, 1.0, 1.0, 1.0);
frustumCornersNDC[3] = new Cartesian4.Cartesian4(-1.0, 1.0, 1.0, 1.0);
var scratchFrustumCorners = new Array(4);
for (var i = 0; i < 4; ++i) {
scratchFrustumCorners[i] = new Cartesian4.Cartesian4();
}
FrustumGeometry._computeNearFarPlanes = function(origin, orientation, frustumType, frustum, positions, xDirection, yDirection, zDirection) {
var rotationMatrix = BoundingSphere.Matrix3.fromQuaternion(orientation, scratchRotationMatrix);
var x = when.defaultValue(xDirection, scratchXDirection);
var y = when.defaultValue(yDirection, scratchYDirection);
var z = when.defaultValue(zDirection, scratchZDirection);
x = BoundingSphere.Matrix3.getColumn(rotationMatrix, 0, x);
y = BoundingSphere.Matrix3.getColumn(rotationMatrix, 1, y);
z = BoundingSphere.Matrix3.getColumn(rotationMatrix, 2, z);
Cartographic.Cartesian3.normalize(x, x);
Cartographic.Cartesian3.normalize(y, y);
Cartographic.Cartesian3.normalize(z, z);
Cartographic.Cartesian3.negate(x, x);
var view = BoundingSphere.Matrix4.computeView(origin, z, y, x, scratchViewMatrix);
var inverseView;
var inverseViewProjection;
if (frustumType === PERSPECTIVE) {
var projection = frustum.projectionMatrix;
var viewProjection = BoundingSphere.Matrix4.multiply(projection, view, scratchInverseMatrix);
inverseViewProjection = BoundingSphere.Matrix4.inverse(viewProjection, scratchInverseMatrix);
} else {
inverseView = BoundingSphere.Matrix4.inverseTransformation(view, scratchInverseMatrix);
}
if (when.defined(inverseViewProjection)) {
frustumSplits[0] = frustum.near;
frustumSplits[1] = frustum.far;
} else {
frustumSplits[0] = 0.0;
frustumSplits[1] = frustum.near;
frustumSplits[2] = frustum.far;
}
for (var i = 0; i < 2; ++i) {
for (var j = 0; j < 4; ++j) {
var corner = Cartesian4.Cartesian4.clone(frustumCornersNDC[j], scratchFrustumCorners[j]);
if (!when.defined(inverseViewProjection)) {
if (when.defined(frustum._offCenterFrustum)) {
frustum = frustum._offCenterFrustum;
}
var near = frustumSplits[i];
var far = frustumSplits[i + 1];
corner.x = (corner.x * (frustum.right - frustum.left) + frustum.left + frustum.right) * 0.5;
corner.y = (corner.y * (frustum.top - frustum.bottom) + frustum.bottom + frustum.top) * 0.5;
corner.z = (corner.z * (near - far) - near - far) * 0.5;
corner.w = 1.0;
BoundingSphere.Matrix4.multiplyByVector(inverseView, corner, corner);
} else {
corner = BoundingSphere.Matrix4.multiplyByVector(inverseViewProjection, corner, corner);
// Reverse perspective divide
var w = 1.0 / corner.w;
Cartographic.Cartesian3.multiplyByScalar(corner, w, corner);
Cartographic.Cartesian3.subtract(corner, origin, corner);
Cartographic.Cartesian3.normalize(corner, corner);
var fac = Cartographic.Cartesian3.dot(z, corner);
Cartographic.Cartesian3.multiplyByScalar(corner, frustumSplits[i] / fac, corner);
Cartographic.Cartesian3.add(corner, origin, corner);
}
positions[12 * i + j * 3] = corner.x;
positions[12 * i + j * 3 + 1] = corner.y;
positions[12 * i + j * 3 + 2] = corner.z;
}
}
};
/**
* Computes the geometric representation of a frustum, including its vertices, indices, and a bounding sphere.
*
* @param {FrustumGeometry} frustumGeometry A description of the frustum.
* @returns {Geometry|undefined} The computed vertices and indices.
*/
FrustumGeometry.createGeometry = function(frustumGeometry) {
var frustumType = frustumGeometry._frustumType;
var frustum = frustumGeometry._frustum;
var origin = frustumGeometry._origin;
var orientation = frustumGeometry._orientation;
var drawNearPlane = frustumGeometry._drawNearPlane;
var vertexFormat = frustumGeometry._vertexFormat;
var numberOfPlanes = drawNearPlane ? 6 : 5;
var positions = new Float64Array(3 * 4 * 6);
FrustumGeometry._computeNearFarPlanes(origin, orientation, frustumType, frustum, positions);
// -x plane
var offset = 3 * 4 * 2;
positions[offset] = positions[3 * 4];
positions[offset + 1] = positions[3 * 4 + 1];
positions[offset + 2] = positions[3 * 4 + 2];
positions[offset + 3] = positions[0];
positions[offset + 4] = positions[1];
positions[offset + 5] = positions[2];
positions[offset + 6] = positions[3 * 3];
positions[offset + 7] = positions[3 * 3 + 1];
positions[offset + 8] = positions[3 * 3 + 2];
positions[offset + 9] = positions[3 * 7];
positions[offset + 10] = positions[3 * 7 + 1];
positions[offset + 11] = positions[3 * 7 + 2];
// -y plane
offset += 3 * 4;
positions[offset] = positions[3 * 5];
positions[offset + 1] = positions[3 * 5 + 1];
positions[offset + 2] = positions[3 * 5 + 2];
positions[offset + 3] = positions[3];
positions[offset + 4] = positions[3 + 1];
positions[offset + 5] = positions[3 + 2];
positions[offset + 6] = positions[0];
positions[offset + 7] = positions[1];
positions[offset + 8] = positions[2];
positions[offset + 9] = positions[3 * 4];
positions[offset + 10] = positions[3 * 4 + 1];
positions[offset + 11] = positions[3 * 4 + 2];
// +x plane
offset += 3 * 4;
positions[offset] = positions[3];
positions[offset + 1] = positions[3 + 1];
positions[offset + 2] = positions[3 + 2];
positions[offset + 3] = positions[3 * 5];
positions[offset + 4] = positions[3 * 5 + 1];
positions[offset + 5] = positions[3 * 5 + 2];
positions[offset + 6] = positions[3 * 6];
positions[offset + 7] = positions[3 * 6 + 1];
positions[offset + 8] = positions[3 * 6 + 2];
positions[offset + 9] = positions[3 * 2];
positions[offset + 10] = positions[3 * 2 + 1];
positions[offset + 11] = positions[3 * 2 + 2];
// +y plane
offset += 3 * 4;
positions[offset] = positions[3 * 2];
positions[offset + 1] = positions[3 * 2 + 1];
positions[offset + 2] = positions[3 * 2 + 2];
positions[offset + 3] = positions[3 * 6];
positions[offset + 4] = positions[3 * 6 + 1];
positions[offset + 5] = positions[3 * 6 + 2];
positions[offset + 6] = positions[3 * 7];
positions[offset + 7] = positions[3 * 7 + 1];
positions[offset + 8] = positions[3 * 7 + 2];
positions[offset + 9] = positions[3 * 3];
positions[offset + 10] = positions[3 * 3 + 1];
positions[offset + 11] = positions[3 * 3 + 2];
if (!drawNearPlane) {
positions = positions.subarray(3 * 4);
}
var attributes = new GeometryAttributes.GeometryAttributes({
position : new GeometryAttribute.GeometryAttribute({
componentDatatype : ComponentDatatype.ComponentDatatype.DOUBLE,
componentsPerAttribute : 3,
values : positions
})
});
if (when.defined(vertexFormat.normal) || when.defined(vertexFormat.tangent) || when.defined(vertexFormat.bitangent) || when.defined(vertexFormat.st)) {
var normals = when.defined(vertexFormat.normal) ? new Float32Array(3 * 4 * numberOfPlanes) : undefined;
var tangents = when.defined(vertexFormat.tangent) ? new Float32Array(3 * 4 * numberOfPlanes) : undefined;
var bitangents = when.defined(vertexFormat.bitangent) ? new Float32Array(3 * 4 * numberOfPlanes) : undefined;
var st = when.defined(vertexFormat.st) ? new Float32Array(2 * 4 * numberOfPlanes) : undefined;
var x = scratchXDirection;
var y = scratchYDirection;
var z = scratchZDirection;
var negativeX = Cartographic.Cartesian3.negate(x, scratchNegativeX);
var negativeY = Cartographic.Cartesian3.negate(y, scratchNegativeY);
var negativeZ = Cartographic.Cartesian3.negate(z, scratchNegativeZ);
offset = 0;
if (drawNearPlane) {
getAttributes(offset, normals, tangents, bitangents, st, negativeZ, x, y); // near
offset += 3 * 4;
}
getAttributes(offset, normals, tangents, bitangents, st, z, negativeX, y); // far
offset += 3 * 4;
getAttributes(offset, normals, tangents, bitangents, st, negativeX, negativeZ, y); // -x
offset += 3 * 4;
getAttributes(offset, normals, tangents, bitangents, st, negativeY, negativeZ, negativeX); // -y
offset += 3 * 4;
getAttributes(offset, normals, tangents, bitangents, st, x, z, y); // +x
offset += 3 * 4;
getAttributes(offset, normals, tangents, bitangents, st, y, z, negativeX); // +y
if (when.defined(normals)) {
attributes.normal = new GeometryAttribute.GeometryAttribute({
componentDatatype : ComponentDatatype.ComponentDatatype.FLOAT,
componentsPerAttribute : 3,
values : normals
});
}
if (when.defined(tangents)) {
attributes.tangent = new GeometryAttribute.GeometryAttribute({
componentDatatype : ComponentDatatype.ComponentDatatype.FLOAT,
componentsPerAttribute : 3,
values : tangents
});
}
if (when.defined(bitangents)) {
attributes.bitangent = new GeometryAttribute.GeometryAttribute({
componentDatatype : ComponentDatatype.ComponentDatatype.FLOAT,
componentsPerAttribute : 3,
values : bitangents
});
}
if (when.defined(st)) {
attributes.st = new GeometryAttribute.GeometryAttribute({
componentDatatype : ComponentDatatype.ComponentDatatype.FLOAT,
componentsPerAttribute : 2,
values : st
});
}
}
var indices = new Uint16Array(6 * numberOfPlanes);
for (var i = 0; i < numberOfPlanes; ++i) {
var indexOffset = i * 6;
var index = i * 4;
indices[indexOffset] = index;
indices[indexOffset + 1] = index + 1;
indices[indexOffset + 2] = index + 2;
indices[indexOffset + 3] = index;
indices[indexOffset + 4] = index + 2;
indices[indexOffset + 5] = index + 3;
}
return new GeometryAttribute.Geometry({
attributes : attributes,
indices : indices,
primitiveType : PrimitiveType.PrimitiveType.TRIANGLES,
boundingSphere : BoundingSphere.BoundingSphere.fromVertices(positions)
});
};
exports.FrustumGeometry = FrustumGeometry;
exports.OrthographicFrustum = OrthographicFrustum;
exports.PerspectiveFrustum = PerspectiveFrustum;
});