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utility.js
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utility.js
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'use strict';
const Cesium = require('cesium');
const BoundingSphere = Cesium.BoundingSphere;
const Cartesian3 = Cesium.Cartesian3;
const CesiumMath = Cesium.Math;
const Intersect = Cesium.Intersect;
const Matrix3 = Cesium.Matrix3;
const Matrix4 = Cesium.Matrix4;
const Plane = Cesium.Plane;
module.exports = {
boxInsideBox: boxInsideBox,
boxInsideSphere: boxInsideSphere,
componentTypeToByteLength: componentTypeToByteLength,
isBufferValidUtf8: isBufferValidUtf8,
regionInsideRegion: regionInsideRegion,
sphereInsideBox: sphereInsideBox,
sphereInsideSphere: sphereInsideSphere,
typeToComponentsLength: typeToComponentsLength,
normalizePath: normalizePath
};
function normalizePath(path) {
// on Windows, the paths get backslashes (due to path.join)
// normalize that to be able to deal with internal zip paths
const res = path.replace(/\.\//, "");
return res.replace(/\\/g, '/');
}
function typeToComponentsLength(type) {
switch (type) {
case 'SCALAR':
return 1;
case 'VEC2':
return 2;
case 'VEC3':
return 3;
case 'VEC4':
return 4;
default:
return undefined;
}
}
function componentTypeToByteLength(componentType) {
switch (componentType) {
case 'BYTE':
case 'UNSIGNED_BYTE':
return 1;
case 'SHORT':
case 'UNSIGNED_SHORT':
return 2;
case 'INT':
case 'UNSIGNED_INT':
case 'FLOAT':
return 4;
case 'DOUBLE':
return 8;
default:
return undefined;
}
}
function isBufferValidUtf8(buffer){
return Buffer.compare(Buffer.from(buffer.toString()), buffer) === 0;
}
function regionInsideRegion(regionInner, regionOuter) {
return (regionInner[0] >= regionOuter[0]) &&
(regionInner[1] >= regionOuter[1]) &&
(regionInner[2] <= regionOuter[2]) &&
(regionInner[3] <= regionOuter[3]) &&
(regionInner[4] >= regionOuter[4]) &&
(regionInner[5] <= regionOuter[5]);
}
const scratchInnerCenter = new Cartesian3();
const scratchOuterCenter = new Cartesian3();
function sphereInsideSphere(sphereInner, sphereOuter) {
const radiusInner = sphereInner[3];
const radiusOuter = sphereOuter[3];
const centerInner = Cartesian3.unpack(sphereInner, 0, scratchInnerCenter);
const centerOuter = Cartesian3.unpack(sphereOuter, 0, scratchOuterCenter);
const distance = Cartesian3.distance(centerInner, centerOuter);
return distance <= (radiusOuter - radiusInner);
}
const scratchInnerHalfAxes = new Matrix3();
const scratchOuterHalfAxes = new Matrix3();
function boxInsideBox(boxInner, boxOuter) {
const centerInner = Cartesian3.fromElements(boxInner[0], boxInner[1], boxInner[2], scratchInnerCenter);
const halfAxesInner = Matrix3.fromArray(boxInner, 3, scratchInnerHalfAxes);
const transformInner = Matrix4.fromRotationTranslation(halfAxesInner, centerInner);
const centerOuter = Cartesian3.fromElements(boxOuter[0], boxOuter[1], boxOuter[2], scratchOuterCenter);
const halfAxesOuter = Matrix3.fromArray(boxOuter, 3, scratchOuterHalfAxes);
const transformOuter = Matrix4.fromRotationTranslation(halfAxesOuter, centerOuter);
const cube = createUnitCube();
const transformInnerInverse = Matrix4.inverse(transformOuter, transformOuter);
for (let i = 0; i < 8; i++) {
cube[i] = Matrix4.multiplyByPoint(transformInner, cube[i], cube[i]);
cube[i] = Matrix4.multiplyByPoint(transformInnerInverse, cube[i], cube[i]);
const min = Cartesian3.minimumComponent(cube[i]);
const max = Cartesian3.maximumComponent(cube[i]);
if (min < -1.0 - CesiumMath.EPSILON8 || max > 1.0 + CesiumMath.EPSILON8) {
return false;
}
}
return true;
}
const scratchBoxCenter = new Cartesian3();
const scratchSphereCenter = new Cartesian3();
const scratchBoxHalfAxes = new Matrix3();
function boxInsideSphere(box, sphere) {
const centerBox = Cartesian3.fromElements(box[0], box[1], box[2], scratchBoxCenter);
const halfAxesBox = Matrix3.fromArray(box, 3, scratchBoxHalfAxes);
const transformBox = Matrix4.fromRotationTranslation(halfAxesBox, centerBox);
const radiusSphere = sphere[3];
const centerSphere = Cartesian3.unpack(sphere, 0, scratchSphereCenter);
const cube = createUnitCube();
for (let i = 0; i < 8; i++) {
cube[i] = Matrix4.multiplyByPoint(transformBox, cube[i], cube[i]);
const distance = Cartesian3.distance(cube[i], centerSphere);
if (distance > radiusSphere) {
return false;
}
}
return true;
}
function sphereInsideBox(sphere, box) {
const centerBox = Cartesian3.fromElements(box[0], box[1], box[2], scratchBoxCenter);
const halfAxesBox = Matrix3.fromArray(box, 3, scratchBoxHalfAxes);
const transformBox = Matrix4.fromRotationTranslation(halfAxesBox, centerBox);
const radiusSphere = sphere[3];
const centerSphere = Cartesian3.unpack(sphere, 0, scratchSphereCenter);
const cube = createUnitCube();
for (let i = 0; i < 8; i++) {
cube[i] = Matrix4.multiplyByPoint(transformBox, cube[i], cube[i]);
}
const face = new Array(6);
face[0] = planeFromPoints(cube[0], cube[1], cube[2]);
face[1] = planeFromPoints(cube[2], cube[6], cube[7]);
face[2] = planeFromPoints(cube[6], cube[5], cube[4]);
face[3] = planeFromPoints(cube[5], cube[1], cube[0]);
face[4] = planeFromPoints(cube[6], cube[2], cube[1]);
face[5] = planeFromPoints(cube[0], cube[3], cube[7]);
const boundingSphere = new BoundingSphere(centerSphere, radiusSphere);
for (let i = 0; i < 6; i++) {
const intersection = BoundingSphere.intersectPlane(boundingSphere, face[i]);
if (intersection !== Intersect.INSIDE) {
return false;
}
}
return true;
}
function planeFromPoints(point1, point2, point3) {
const a = new Cartesian3();
const b = new Cartesian3();
const c = new Cartesian3();
const normal = new Cartesian3();
Cartesian3.subtract(point2, point1, a);
Cartesian3.subtract(point3, point2, b);
Cartesian3.cross(a, b, c);
Cartesian3.normalize(c, normal);
return Plane.fromPointNormal(point1, normal);
}
function createUnitCube() {
const cube = new Array(8);
cube[0] = new Cartesian3(-1, -1, -1);
cube[1] = new Cartesian3(-1, -1, 1);
cube[2] = new Cartesian3(1, -1, 1);
cube[3] = new Cartesian3(1, -1, -1);
cube[4] = new Cartesian3(-1, 1, -1);
cube[5] = new Cartesian3(-1, 1, 1);
cube[6] = new Cartesian3(1, 1, 1);
cube[7] = new Cartesian3(1, 1, -1);
return cube;
}