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- import BoundingSphere from "./BoundingSphere.js";
- import Cartesian3 from "./Cartesian3.js";
- import Cartesian4 from "./Cartesian4.js";
- import Check from "./Check.js";
- import ComponentDatatype from "./ComponentDatatype.js";
- import defaultValue from "./defaultValue.js";
- import defined from "./defined.js";
- import Geometry from "./Geometry.js";
- import GeometryAttribute from "./GeometryAttribute.js";
- import GeometryAttributes from "./GeometryAttributes.js";
- import Matrix3 from "./Matrix3.js";
- import Matrix4 from "./Matrix4.js";
- import OrthographicFrustum from "./OrthographicFrustum.js";
- import PerspectiveFrustum from "./PerspectiveFrustum.js";
- import PrimitiveType from "./PrimitiveType.js";
- import Quaternion from "./Quaternion.js";
- import VertexFormat from "./VertexFormat.js";
- const PERSPECTIVE = 0;
- const 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.typeOf.object("options", options);
- Check.typeOf.object("options.frustum", options.frustum);
- Check.typeOf.object("options.origin", options.origin);
- Check.typeOf.object("options.orientation", options.orientation);
- //>>includeEnd('debug');
- const frustum = options.frustum;
- const orientation = options.orientation;
- const origin = options.origin;
- const vertexFormat = defaultValue(options.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.
- const drawNearPlane = defaultValue(options._drawNearPlane, true);
- let frustumType;
- let 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 = Cartesian3.clone(origin);
- this._orientation = 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 +
- Cartesian3.packedLength +
- Quaternion.packedLength +
- 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.typeOf.object("value", value);
- Check.defined("array", array);
- //>>includeEnd('debug');
- startingIndex = defaultValue(startingIndex, 0);
- const frustumType = value._frustumType;
- const 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;
- }
- Cartesian3.pack(value._origin, array, startingIndex);
- startingIndex += Cartesian3.packedLength;
- Quaternion.pack(value._orientation, array, startingIndex);
- startingIndex += Quaternion.packedLength;
- VertexFormat.pack(value._vertexFormat, array, startingIndex);
- startingIndex += VertexFormat.packedLength;
- array[startingIndex] = value._drawNearPlane ? 1.0 : 0.0;
- return array;
- };
- const scratchPackPerspective = new PerspectiveFrustum();
- const scratchPackOrthographic = new OrthographicFrustum();
- const scratchPackQuaternion = new Quaternion();
- const scratchPackorigin = new Cartesian3();
- const scratchVertexFormat = new 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.defined("array", array);
- //>>includeEnd('debug');
- startingIndex = defaultValue(startingIndex, 0);
- const frustumType = array[startingIndex++];
- let frustum;
- if (frustumType === PERSPECTIVE) {
- frustum = PerspectiveFrustum.unpack(
- array,
- startingIndex,
- scratchPackPerspective
- );
- startingIndex += PerspectiveFrustum.packedLength;
- } else {
- frustum = OrthographicFrustum.unpack(
- array,
- startingIndex,
- scratchPackOrthographic
- );
- startingIndex += OrthographicFrustum.packedLength;
- }
- const origin = Cartesian3.unpack(array, startingIndex, scratchPackorigin);
- startingIndex += Cartesian3.packedLength;
- const orientation = Quaternion.unpack(
- array,
- startingIndex,
- scratchPackQuaternion
- );
- startingIndex += Quaternion.packedLength;
- const vertexFormat = VertexFormat.unpack(
- array,
- startingIndex,
- scratchVertexFormat
- );
- startingIndex += VertexFormat.packedLength;
- const drawNearPlane = array[startingIndex] === 1.0;
- if (!defined(result)) {
- return new FrustumGeometry({
- frustum: frustum,
- origin: origin,
- orientation: orientation,
- vertexFormat: vertexFormat,
- _drawNearPlane: drawNearPlane,
- });
- }
- const frustumResult =
- frustumType === result._frustumType ? result._frustum : undefined;
- result._frustum = frustum.clone(frustumResult);
- result._frustumType = frustumType;
- result._origin = Cartesian3.clone(origin, result._origin);
- result._orientation = Quaternion.clone(orientation, result._orientation);
- result._vertexFormat = VertexFormat.clone(vertexFormat, result._vertexFormat);
- result._drawNearPlane = drawNearPlane;
- return result;
- };
- function getAttributes(
- offset,
- normals,
- tangents,
- bitangents,
- st,
- normal,
- tangent,
- bitangent
- ) {
- const stOffset = (offset / 3) * 2;
- for (let i = 0; i < 4; ++i) {
- if (defined(normals)) {
- normals[offset] = normal.x;
- normals[offset + 1] = normal.y;
- normals[offset + 2] = normal.z;
- }
- if (defined(tangents)) {
- tangents[offset] = tangent.x;
- tangents[offset + 1] = tangent.y;
- tangents[offset + 2] = tangent.z;
- }
- if (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;
- }
- const scratchRotationMatrix = new Matrix3();
- const scratchViewMatrix = new Matrix4();
- const scratchInverseMatrix = new Matrix4();
- const scratchXDirection = new Cartesian3();
- const scratchYDirection = new Cartesian3();
- const scratchZDirection = new Cartesian3();
- const scratchNegativeX = new Cartesian3();
- const scratchNegativeY = new Cartesian3();
- const scratchNegativeZ = new Cartesian3();
- const frustumSplits = new Array(3);
- const frustumCornersNDC = new Array(4);
- frustumCornersNDC[0] = new Cartesian4(-1.0, -1.0, 1.0, 1.0);
- frustumCornersNDC[1] = new Cartesian4(1.0, -1.0, 1.0, 1.0);
- frustumCornersNDC[2] = new Cartesian4(1.0, 1.0, 1.0, 1.0);
- frustumCornersNDC[3] = new Cartesian4(-1.0, 1.0, 1.0, 1.0);
- const scratchFrustumCorners = new Array(4);
- for (let i = 0; i < 4; ++i) {
- scratchFrustumCorners[i] = new Cartesian4();
- }
- FrustumGeometry._computeNearFarPlanes = function (
- origin,
- orientation,
- frustumType,
- frustum,
- positions,
- xDirection,
- yDirection,
- zDirection
- ) {
- const rotationMatrix = Matrix3.fromQuaternion(
- orientation,
- scratchRotationMatrix
- );
- let x = defaultValue(xDirection, scratchXDirection);
- let y = defaultValue(yDirection, scratchYDirection);
- let z = defaultValue(zDirection, scratchZDirection);
- x = Matrix3.getColumn(rotationMatrix, 0, x);
- y = Matrix3.getColumn(rotationMatrix, 1, y);
- z = Matrix3.getColumn(rotationMatrix, 2, z);
- Cartesian3.normalize(x, x);
- Cartesian3.normalize(y, y);
- Cartesian3.normalize(z, z);
- Cartesian3.negate(x, x);
- const view = Matrix4.computeView(origin, z, y, x, scratchViewMatrix);
- let inverseView;
- let inverseViewProjection;
- if (frustumType === PERSPECTIVE) {
- const projection = frustum.projectionMatrix;
- const viewProjection = Matrix4.multiply(
- projection,
- view,
- scratchInverseMatrix
- );
- inverseViewProjection = Matrix4.inverse(
- viewProjection,
- scratchInverseMatrix
- );
- } else {
- inverseView = Matrix4.inverseTransformation(view, scratchInverseMatrix);
- }
- if (defined(inverseViewProjection)) {
- frustumSplits[0] = frustum.near;
- frustumSplits[1] = frustum.far;
- } else {
- frustumSplits[0] = 0.0;
- frustumSplits[1] = frustum.near;
- frustumSplits[2] = frustum.far;
- }
- for (let i = 0; i < 2; ++i) {
- for (let j = 0; j < 4; ++j) {
- let corner = Cartesian4.clone(
- frustumCornersNDC[j],
- scratchFrustumCorners[j]
- );
- if (!defined(inverseViewProjection)) {
- if (defined(frustum._offCenterFrustum)) {
- frustum = frustum._offCenterFrustum;
- }
- const near = frustumSplits[i];
- const 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;
- Matrix4.multiplyByVector(inverseView, corner, corner);
- } else {
- corner = Matrix4.multiplyByVector(
- inverseViewProjection,
- corner,
- corner
- );
- // Reverse perspective divide
- const w = 1.0 / corner.w;
- Cartesian3.multiplyByScalar(corner, w, corner);
- Cartesian3.subtract(corner, origin, corner);
- Cartesian3.normalize(corner, corner);
- const fac = Cartesian3.dot(z, corner);
- Cartesian3.multiplyByScalar(corner, frustumSplits[i] / fac, corner);
- 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) {
- const frustumType = frustumGeometry._frustumType;
- const frustum = frustumGeometry._frustum;
- const origin = frustumGeometry._origin;
- const orientation = frustumGeometry._orientation;
- const drawNearPlane = frustumGeometry._drawNearPlane;
- const vertexFormat = frustumGeometry._vertexFormat;
- const numberOfPlanes = drawNearPlane ? 6 : 5;
- let positions = new Float64Array(3 * 4 * 6);
- FrustumGeometry._computeNearFarPlanes(
- origin,
- orientation,
- frustumType,
- frustum,
- positions
- );
- // -x plane
- let 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);
- }
- const attributes = new GeometryAttributes({
- position: new GeometryAttribute({
- componentDatatype: ComponentDatatype.DOUBLE,
- componentsPerAttribute: 3,
- values: positions,
- }),
- });
- if (
- defined(vertexFormat.normal) ||
- defined(vertexFormat.tangent) ||
- defined(vertexFormat.bitangent) ||
- defined(vertexFormat.st)
- ) {
- const normals = defined(vertexFormat.normal)
- ? new Float32Array(3 * 4 * numberOfPlanes)
- : undefined;
- const tangents = defined(vertexFormat.tangent)
- ? new Float32Array(3 * 4 * numberOfPlanes)
- : undefined;
- const bitangents = defined(vertexFormat.bitangent)
- ? new Float32Array(3 * 4 * numberOfPlanes)
- : undefined;
- const st = defined(vertexFormat.st)
- ? new Float32Array(2 * 4 * numberOfPlanes)
- : undefined;
- const x = scratchXDirection;
- const y = scratchYDirection;
- const z = scratchZDirection;
- const negativeX = Cartesian3.negate(x, scratchNegativeX);
- const negativeY = Cartesian3.negate(y, scratchNegativeY);
- const negativeZ = 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 (defined(normals)) {
- attributes.normal = new GeometryAttribute({
- componentDatatype: ComponentDatatype.FLOAT,
- componentsPerAttribute: 3,
- values: normals,
- });
- }
- if (defined(tangents)) {
- attributes.tangent = new GeometryAttribute({
- componentDatatype: ComponentDatatype.FLOAT,
- componentsPerAttribute: 3,
- values: tangents,
- });
- }
- if (defined(bitangents)) {
- attributes.bitangent = new GeometryAttribute({
- componentDatatype: ComponentDatatype.FLOAT,
- componentsPerAttribute: 3,
- values: bitangents,
- });
- }
- if (defined(st)) {
- attributes.st = new GeometryAttribute({
- componentDatatype: ComponentDatatype.FLOAT,
- componentsPerAttribute: 2,
- values: st,
- });
- }
- }
- const indices = new Uint16Array(6 * numberOfPlanes);
- for (let i = 0; i < numberOfPlanes; ++i) {
- const indexOffset = i * 6;
- const 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 Geometry({
- attributes: attributes,
- indices: indices,
- primitiveType: PrimitiveType.TRIANGLES,
- boundingSphere: BoundingSphere.fromVertices(positions),
- });
- };
- export default FrustumGeometry;
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