/**
* @license
* Cesium - https://github.com/CesiumGS/cesium
* Version 1.143.0
*
* Copyright 2011-2022 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/CesiumGS/cesium/blob/main/LICENSE.md for full licensing details.
*/
import {
Cartesian3_default
} from "./chunk-ZSGUV73H.js";
import {
Math_default
} from "./chunk-C7JQVRLM.js";
import {
Check_default,
DeveloperError_default
} from "./chunk-6YR6JBMY.js";
import {
__publicField,
defined_default
} from "./chunk-AHWAZRBV.js";
// packages/engine/Source/Core/scaleToGeodeticSurface.js
var scaleToGeodeticSurfaceIntersection = new Cartesian3_default();
var scaleToGeodeticSurfaceGradient = new Cartesian3_default();
function scaleToGeodeticSurface(cartesian, oneOverRadii, oneOverRadiiSquared, centerToleranceSquared, result) {
if (!defined_default(cartesian)) {
throw new DeveloperError_default("cartesian is required.");
}
if (!defined_default(oneOverRadii)) {
throw new DeveloperError_default("oneOverRadii is required.");
}
if (!defined_default(oneOverRadiiSquared)) {
throw new DeveloperError_default("oneOverRadiiSquared is required.");
}
if (!defined_default(centerToleranceSquared)) {
throw new DeveloperError_default("centerToleranceSquared is required.");
}
const positionX = cartesian.x;
const positionY = cartesian.y;
const positionZ = cartesian.z;
const oneOverRadiiX = oneOverRadii.x;
const oneOverRadiiY = oneOverRadii.y;
const oneOverRadiiZ = oneOverRadii.z;
const x2 = positionX * positionX * oneOverRadiiX * oneOverRadiiX;
const y2 = positionY * positionY * oneOverRadiiY * oneOverRadiiY;
const z2 = positionZ * positionZ * oneOverRadiiZ * oneOverRadiiZ;
const squaredNorm = x2 + y2 + z2;
const ratio = Math.sqrt(1 / squaredNorm);
const intersection = Cartesian3_default.multiplyByScalar(
cartesian,
ratio,
scaleToGeodeticSurfaceIntersection
);
if (squaredNorm < centerToleranceSquared) {
return !isFinite(ratio) ? void 0 : Cartesian3_default.clone(intersection, result);
}
const oneOverRadiiSquaredX = oneOverRadiiSquared.x;
const oneOverRadiiSquaredY = oneOverRadiiSquared.y;
const oneOverRadiiSquaredZ = oneOverRadiiSquared.z;
const gradient = scaleToGeodeticSurfaceGradient;
gradient.x = intersection.x * oneOverRadiiSquaredX * 2;
gradient.y = intersection.y * oneOverRadiiSquaredY * 2;
gradient.z = intersection.z * oneOverRadiiSquaredZ * 2;
let lambda = (1 - ratio) * Cartesian3_default.magnitude(cartesian) / (0.5 * Cartesian3_default.magnitude(gradient));
let correction = 0;
let func;
let denominator;
let xMultiplier;
let yMultiplier;
let zMultiplier;
let xMultiplier2;
let yMultiplier2;
let zMultiplier2;
let xMultiplier3;
let yMultiplier3;
let zMultiplier3;
do {
lambda -= correction;
xMultiplier = 1 / (1 + lambda * oneOverRadiiSquaredX);
yMultiplier = 1 / (1 + lambda * oneOverRadiiSquaredY);
zMultiplier = 1 / (1 + lambda * oneOverRadiiSquaredZ);
xMultiplier2 = xMultiplier * xMultiplier;
yMultiplier2 = yMultiplier * yMultiplier;
zMultiplier2 = zMultiplier * zMultiplier;
xMultiplier3 = xMultiplier2 * xMultiplier;
yMultiplier3 = yMultiplier2 * yMultiplier;
zMultiplier3 = zMultiplier2 * zMultiplier;
func = x2 * xMultiplier2 + y2 * yMultiplier2 + z2 * zMultiplier2 - 1;
denominator = x2 * xMultiplier3 * oneOverRadiiSquaredX + y2 * yMultiplier3 * oneOverRadiiSquaredY + z2 * zMultiplier3 * oneOverRadiiSquaredZ;
const derivative = -2 * denominator;
correction = func / derivative;
} while (Math.abs(func) > Math_default.EPSILON12);
if (!defined_default(result)) {
return new Cartesian3_default(
positionX * xMultiplier,
positionY * yMultiplier,
positionZ * zMultiplier
);
}
result.x = positionX * xMultiplier;
result.y = positionY * yMultiplier;
result.z = positionZ * zMultiplier;
return result;
}
var scaleToGeodeticSurface_default = scaleToGeodeticSurface;
// packages/engine/Source/Core/Cartographic.js
var _Cartographic = class _Cartographic {
/**
* @param {number} [longitude=0.0] The longitude, in radians.
* @param {number} [latitude=0.0] The latitude, in radians.
* @param {number} [height=0.0] The height, in meters, above the ellipsoid.
*/
constructor(longitude, latitude, height) {
this.longitude = longitude ?? 0;
this.latitude = latitude ?? 0;
this.height = height ?? 0;
}
/**
* Creates a new Cartographic instance from longitude and latitude
* specified in radians.
*
* @param {number} longitude The longitude, in radians.
* @param {number} latitude The latitude, in radians.
* @param {number} [height=0.0] The height, in meters, above the ellipsoid.
* @param {Cartographic} [result] The object onto which to store the result.
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if one was not provided.
*/
static fromRadians(longitude, latitude, height, result) {
Check_default.typeOf.number("longitude", longitude);
Check_default.typeOf.number("latitude", latitude);
height = height ?? 0;
if (!defined_default(result)) {
return new _Cartographic(longitude, latitude, height);
}
result.longitude = longitude;
result.latitude = latitude;
result.height = height;
return result;
}
/**
* Creates a new Cartographic instance from longitude and latitude
* specified in degrees. The values in the resulting object will
* be in radians.
*
* @param {number} longitude The longitude, in degrees.
* @param {number} latitude The latitude, in degrees.
* @param {number} [height=0.0] The height, in meters, above the ellipsoid.
* @param {Cartographic} [result] The object onto which to store the result.
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if one was not provided.
*/
static fromDegrees(longitude, latitude, height, result) {
Check_default.typeOf.number("longitude", longitude);
Check_default.typeOf.number("latitude", latitude);
longitude = Math_default.toRadians(longitude);
latitude = Math_default.toRadians(latitude);
return _Cartographic.fromRadians(longitude, latitude, height, result);
}
/**
* Creates a new Cartographic instance from a Cartesian position. The values in the
* resulting object will be in radians.
*
* @param {Cartesian3} cartesian The Cartesian position to convert to cartographic representation.
* @param {Ellipsoid} [ellipsoid=Ellipsoid.default] The ellipsoid on which the position lies.
* @param {Cartographic} [result] The object onto which to store the result.
* @returns {Cartographic} The modified result parameter, new Cartographic instance if none was provided, or undefined if the cartesian is at the center of the ellipsoid.
*/
static fromCartesian(cartesian, ellipsoid, result) {
const oneOverRadii = defined_default(ellipsoid) ? ellipsoid.oneOverRadii : _Cartographic._ellipsoidOneOverRadii;
const oneOverRadiiSquared = defined_default(ellipsoid) ? ellipsoid.oneOverRadiiSquared : _Cartographic._ellipsoidOneOverRadiiSquared;
const centerToleranceSquared = defined_default(ellipsoid) ? ellipsoid._centerToleranceSquared : _Cartographic._ellipsoidCenterToleranceSquared;
const p = scaleToGeodeticSurface_default(
cartesian,
oneOverRadii,
oneOverRadiiSquared,
centerToleranceSquared,
cartesianToCartographicP
);
if (!defined_default(p)) {
return void 0;
}
let n = Cartesian3_default.multiplyComponents(
p,
oneOverRadiiSquared,
cartesianToCartographicN
);
n = Cartesian3_default.normalize(n, n);
const h = Cartesian3_default.subtract(cartesian, p, cartesianToCartographicH);
const longitude = Math.atan2(n.y, n.x);
const latitude = Math.asin(n.z);
const height = Math_default.sign(Cartesian3_default.dot(h, cartesian)) * Cartesian3_default.magnitude(h);
if (!defined_default(result)) {
return new _Cartographic(longitude, latitude, height);
}
result.longitude = longitude;
result.latitude = latitude;
result.height = height;
return result;
}
/**
* Creates a new Cartesian3 instance from a Cartographic input. The values in the inputted
* object should be in radians.
*
* @param {Cartographic} cartographic Input to be converted into a Cartesian3 output.
* @param {Ellipsoid} [ellipsoid=Ellipsoid.default] The ellipsoid on which the position lies.
* @param {Cartesian3} [result] The object onto which to store the result.
* @returns {Cartesian3} The position
*/
static toCartesian(cartographic, ellipsoid, result) {
Check_default.defined("cartographic", cartographic);
return Cartesian3_default.fromRadians(
cartographic.longitude,
cartographic.latitude,
cartographic.height,
ellipsoid,
result
);
}
/**
* Duplicates a Cartographic instance.
*
* @param {Cartographic} cartographic The cartographic to duplicate.
* @param {Cartographic} [result] The object onto which to store the result.
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if one was not provided. (Returns undefined if cartographic is undefined)
*/
static clone(cartographic, result) {
if (!defined_default(cartographic)) {
return void 0;
}
if (!defined_default(result)) {
return new _Cartographic(
cartographic.longitude,
cartographic.latitude,
cartographic.height
);
}
result.longitude = cartographic.longitude;
result.latitude = cartographic.latitude;
result.height = cartographic.height;
return result;
}
/**
* Compares the provided cartographics componentwise and returns
* true if they are equal, false otherwise.
*
* @param {Cartographic} [left] The first cartographic.
* @param {Cartographic} [right] The second cartographic.
* @returns {boolean} true if left and right are equal, false otherwise.
*/
static equals(left, right) {
return left === right || defined_default(left) && defined_default(right) && left.longitude === right.longitude && left.latitude === right.latitude && left.height === right.height;
}
/**
* Compares the provided cartographics componentwise and returns
* true if they are within the provided epsilon,
* false otherwise.
*
* @param {Cartographic} [left] The first cartographic.
* @param {Cartographic} [right] The second cartographic.
* @param {number} [epsilon=0] The epsilon to use for equality testing.
* @returns {boolean} true if left and right are within the provided epsilon, false otherwise.
*/
static equalsEpsilon(left, right, epsilon) {
epsilon = epsilon ?? 0;
return left === right || defined_default(left) && defined_default(right) && Math.abs(left.longitude - right.longitude) <= epsilon && Math.abs(left.latitude - right.latitude) <= epsilon && Math.abs(left.height - right.height) <= epsilon;
}
/**
* Duplicates this instance.
*
* @param {Cartographic} [result] The object onto which to store the result.
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if one was not provided.
*/
clone(result) {
return _Cartographic.clone(this, result);
}
/**
* Compares the provided against this cartographic componentwise and returns
* true if they are equal, false otherwise.
*
* @param {Cartographic} [right] The second cartographic.
* @returns {boolean} true if left and right are equal, false otherwise.
*/
equals(right) {
return _Cartographic.equals(this, right);
}
/**
* Compares the provided against this cartographic componentwise and returns
* true if they are within the provided epsilon,
* false otherwise.
*
* @param {Cartographic} [right] The second cartographic.
* @param {number} [epsilon=0] The epsilon to use for equality testing.
* @returns {boolean} true if left and right are within the provided epsilon, false otherwise.
*/
equalsEpsilon(right, epsilon) {
return _Cartographic.equalsEpsilon(this, right, epsilon);
}
/**
* Creates a string representing this cartographic in the format '(longitude, latitude, height)'.
*
* @returns {string} A string representing the provided cartographic in the format '(longitude, latitude, height)'.
*/
toString() {
return `(${this.longitude}, ${this.latitude}, ${this.height})`;
}
};
// To avoid circular dependencies, these are set by Ellipsoid when Ellipsoid.default is set.
__publicField(_Cartographic, "_ellipsoidOneOverRadii", new Cartesian3_default(
1 / 6378137,
1 / 6378137,
1 / 6356752314245179e-9
));
__publicField(_Cartographic, "_ellipsoidOneOverRadiiSquared", new Cartesian3_default(
1 / (6378137 * 6378137),
1 / (6378137 * 6378137),
1 / (6356752314245179e-9 * 6356752314245179e-9)
));
__publicField(_Cartographic, "_ellipsoidCenterToleranceSquared", Math_default.EPSILON1);
var Cartographic = _Cartographic;
Cartographic.ZERO = Object.freeze(new Cartographic(0, 0, 0));
var cartesianToCartographicN = new Cartesian3_default();
var cartesianToCartographicP = new Cartesian3_default();
var cartesianToCartographicH = new Cartesian3_default();
var Cartographic_default = Cartographic;
// packages/engine/Source/Core/Cartesian2.js
var Cartesian2 = class _Cartesian2 {
/**
* @param {number} [x=0.0] The X component.
* @param {number} [y=0.0] The Y component.
*/
constructor(x, y) {
this.x = x ?? 0;
this.y = y ?? 0;
}
/**
* Creates a Cartesian2 instance from x and y coordinates.
*
* @param {number} x The x coordinate.
* @param {number} y The y coordinate.
* @param {Cartesian2} [result] The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided.
*/
static fromElements(x, y, result) {
if (!defined_default(result)) {
return new _Cartesian2(x, y);
}
result.x = x;
result.y = y;
return result;
}
/**
* Duplicates a Cartesian2 instance.
*
* @param {Cartesian2} cartesian The Cartesian to duplicate.
* @param {Cartesian2} [result] The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided. (Returns undefined if cartesian is undefined)
*/
static clone(cartesian, result) {
if (!defined_default(cartesian)) {
return void 0;
}
if (!defined_default(result)) {
return new _Cartesian2(cartesian.x, cartesian.y);
}
result.x = cartesian.x;
result.y = cartesian.y;
return result;
}
/**
* Stores the provided instance into the provided array.
*
* @param {Cartesian2} 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
*/
static pack(value, array, startingIndex) {
Check_default.typeOf.object("value", value);
Check_default.defined("array", array);
startingIndex = startingIndex ?? 0;
array[startingIndex++] = value.x;
array[startingIndex] = value.y;
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 {Cartesian2} [result] The object into which to store the result.
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided.
*/
static unpack(array, startingIndex, result) {
Check_default.defined("array", array);
startingIndex = startingIndex ?? 0;
if (!defined_default(result)) {
result = new _Cartesian2();
}
result.x = array[startingIndex++];
result.y = array[startingIndex];
return result;
}
/**
* Flattens an array of Cartesian2s into an array of components.
*
* @param {Cartesian2[]} array The array of cartesians to pack.
* @param {number[]} [result] The array onto which to store the result. If this is a typed array, it must have array.length * 2 components, else a {@link DeveloperError} will be thrown. If it is a regular array, it will be resized to have (array.length * 2) elements.
* @returns {number[]} The packed array.
*/
static packArray(array, result) {
Check_default.defined("array", array);
const length = array.length;
const resultLength = length * 2;
if (!defined_default(result)) {
result = new Array(resultLength);
} else if (!Array.isArray(result) && result.length !== resultLength) {
throw new DeveloperError_default(
"If result is a typed array, it must have exactly array.length * 2 elements"
);
} else if (result.length !== resultLength) {
result.length = resultLength;
}
for (let i = 0; i < length; ++i) {
_Cartesian2.pack(array[i], result, i * 2);
}
return result;
}
/**
* Unpacks an array of cartesian components into an array of Cartesian2s.
*
* @param {number[]} array The array of components to unpack.
* @param {Cartesian2[]} [result] The array onto which to store the result.
* @returns {Cartesian2[]} The unpacked array.
*/
static unpackArray(array, result) {
Check_default.defined("array", array);
Check_default.typeOf.number.greaterThanOrEquals("array.length", array.length, 2);
if (array.length % 2 !== 0) {
throw new DeveloperError_default("array length must be a multiple of 2.");
}
const length = array.length;
if (!defined_default(result)) {
result = new Array(length / 2);
} else {
result.length = length / 2;
}
for (let i = 0; i < length; i += 2) {
const index = i / 2;
result[index] = _Cartesian2.unpack(array, i, result[index]);
}
return result;
}
/**
* Computes the value of the maximum component for the supplied Cartesian.
*
* @param {Cartesian2} cartesian The cartesian to use.
* @returns {number} The value of the maximum component.
*/
static maximumComponent(cartesian) {
Check_default.typeOf.object("cartesian", cartesian);
return Math.max(cartesian.x, cartesian.y);
}
/**
* Computes the value of the minimum component for the supplied Cartesian.
*
* @param {Cartesian2} cartesian The cartesian to use.
* @returns {number} The value of the minimum component.
*/
static minimumComponent(cartesian) {
Check_default.typeOf.object("cartesian", cartesian);
return Math.min(cartesian.x, cartesian.y);
}
/**
* Compares two Cartesians and computes a Cartesian which contains the minimum components of the supplied Cartesians.
*
* @param {Cartesian2} first A cartesian to compare.
* @param {Cartesian2} second A cartesian to compare.
* @param {Cartesian2} result The object into which to store the result.
* @returns {Cartesian2} A cartesian with the minimum components.
*/
static minimumByComponent(first, second, result) {
Check_default.typeOf.object("first", first);
Check_default.typeOf.object("second", second);
Check_default.typeOf.object("result", result);
result.x = Math.min(first.x, second.x);
result.y = Math.min(first.y, second.y);
return result;
}
/**
* Compares two Cartesians and computes a Cartesian which contains the maximum components of the supplied Cartesians.
*
* @param {Cartesian2} first A cartesian to compare.
* @param {Cartesian2} second A cartesian to compare.
* @param {Cartesian2} result The object into which to store the result.
* @returns {Cartesian2} A cartesian with the maximum components.
*/
static maximumByComponent(first, second, result) {
Check_default.typeOf.object("first", first);
Check_default.typeOf.object("second", second);
Check_default.typeOf.object("result", result);
result.x = Math.max(first.x, second.x);
result.y = Math.max(first.y, second.y);
return result;
}
/**
* Constrain a value to lie between two values.
*
* @param {Cartesian2} value The value to clamp.
* @param {Cartesian2} min The minimum bound.
* @param {Cartesian2} max The maximum bound.
* @param {Cartesian2} result The object into which to store the result.
* @returns {Cartesian2} The clamped value such that min <= result <= max.
*/
static clamp(value, min, max, result) {
Check_default.typeOf.object("value", value);
Check_default.typeOf.object("min", min);
Check_default.typeOf.object("max", max);
Check_default.typeOf.object("result", result);
const x = Math_default.clamp(value.x, min.x, max.x);
const y = Math_default.clamp(value.y, min.y, max.y);
result.x = x;
result.y = y;
return result;
}
/**
* Computes the provided Cartesian's squared magnitude.
*
* @param {Cartesian2} cartesian The Cartesian instance whose squared magnitude is to be computed.
* @returns {number} The squared magnitude.
*/
static magnitudeSquared(cartesian) {
Check_default.typeOf.object("cartesian", cartesian);
return cartesian.x * cartesian.x + cartesian.y * cartesian.y;
}
/**
* Computes the Cartesian's magnitude (length).
*
* @param {Cartesian2} cartesian The Cartesian instance whose magnitude is to be computed.
* @returns {number} The magnitude.
*/
static magnitude(cartesian) {
return Math.sqrt(_Cartesian2.magnitudeSquared(cartesian));
}
/**
* Computes the distance between two points.
*
* @param {Cartesian2} left The first point to compute the distance from.
* @param {Cartesian2} right The second point to compute the distance to.
* @returns {number} The distance between two points.
*
* @example
* // Returns 1.0
* const d = Cesium.Cartesian2.distance(new Cesium.Cartesian2(1.0, 0.0), new Cesium.Cartesian2(2.0, 0.0));
*/
static distance(left, right) {
Check_default.typeOf.object("left", left);
Check_default.typeOf.object("right", right);
_Cartesian2.subtract(left, right, distanceScratch);
return _Cartesian2.magnitude(distanceScratch);
}
/**
* Computes the squared distance between two points. Comparing squared distances
* using this function is more efficient than comparing distances using {@link Cartesian2#distance}.
*
* @param {Cartesian2} left The first point to compute the distance from.
* @param {Cartesian2} right The second point to compute the distance to.
* @returns {number} The distance between two points.
*
* @example
* // Returns 4.0, not 2.0
* const d = Cesium.Cartesian2.distance(new Cesium.Cartesian2(1.0, 0.0), new Cesium.Cartesian2(3.0, 0.0));
*/
static distanceSquared(left, right) {
Check_default.typeOf.object("left", left);
Check_default.typeOf.object("right", right);
_Cartesian2.subtract(left, right, distanceScratch);
return _Cartesian2.magnitudeSquared(distanceScratch);
}
/**
* Computes the normalized form of the supplied Cartesian.
*
* @param {Cartesian2} cartesian The Cartesian to be normalized.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
static normalize(cartesian, result) {
Check_default.typeOf.object("cartesian", cartesian);
Check_default.typeOf.object("result", result);
const magnitude = _Cartesian2.magnitude(cartesian);
result.x = cartesian.x / magnitude;
result.y = cartesian.y / magnitude;
if (isNaN(result.x) || isNaN(result.y)) {
throw new DeveloperError_default("normalized result is not a number");
}
return result;
}
/**
* Computes the dot (scalar) product of two Cartesians.
*
* @param {Cartesian2} left The first Cartesian.
* @param {Cartesian2} right The second Cartesian.
* @returns {number} The dot product.
*/
static dot(left, right) {
Check_default.typeOf.object("left", left);
Check_default.typeOf.object("right", right);
return left.x * right.x + left.y * right.y;
}
/**
* Computes the magnitude of the cross product that would result from implicitly setting the Z coordinate of the input vectors to 0
*
* @param {Cartesian2} left The first Cartesian.
* @param {Cartesian2} right The second Cartesian.
* @returns {number} The cross product.
*/
static cross(left, right) {
Check_default.typeOf.object("left", left);
Check_default.typeOf.object("right", right);
return left.x * right.y - left.y * right.x;
}
/**
* Computes the componentwise product of two Cartesians.
*
* @param {Cartesian2} left The first Cartesian.
* @param {Cartesian2} right The second Cartesian.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
static multiplyComponents(left, right, result) {
Check_default.typeOf.object("left", left);
Check_default.typeOf.object("right", right);
Check_default.typeOf.object("result", result);
result.x = left.x * right.x;
result.y = left.y * right.y;
return result;
}
/**
* Computes the componentwise quotient of two Cartesians.
*
* @param {Cartesian2} left The first Cartesian.
* @param {Cartesian2} right The second Cartesian.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
static divideComponents(left, right, result) {
Check_default.typeOf.object("left", left);
Check_default.typeOf.object("right", right);
Check_default.typeOf.object("result", result);
result.x = left.x / right.x;
result.y = left.y / right.y;
return result;
}
/**
* Computes the componentwise sum of two Cartesians.
*
* @param {Cartesian2} left The first Cartesian.
* @param {Cartesian2} right The second Cartesian.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
static add(left, right, result) {
Check_default.typeOf.object("left", left);
Check_default.typeOf.object("right", right);
Check_default.typeOf.object("result", result);
result.x = left.x + right.x;
result.y = left.y + right.y;
return result;
}
/**
* Computes the componentwise difference of two Cartesians.
*
* @param {Cartesian2} left The first Cartesian.
* @param {Cartesian2} right The second Cartesian.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
static subtract(left, right, result) {
Check_default.typeOf.object("left", left);
Check_default.typeOf.object("right", right);
Check_default.typeOf.object("result", result);
result.x = left.x - right.x;
result.y = left.y - right.y;
return result;
}
/**
* Multiplies the provided Cartesian componentwise by the provided scalar.
*
* @param {Cartesian2} cartesian The Cartesian to be scaled.
* @param {number} scalar The scalar to multiply with.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
static multiplyByScalar(cartesian, scalar, result) {
Check_default.typeOf.object("cartesian", cartesian);
Check_default.typeOf.number("scalar", scalar);
Check_default.typeOf.object("result", result);
result.x = cartesian.x * scalar;
result.y = cartesian.y * scalar;
return result;
}
/**
* Divides the provided Cartesian componentwise by the provided scalar.
*
* @param {Cartesian2} cartesian The Cartesian to be divided.
* @param {number} scalar The scalar to divide by.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
static divideByScalar(cartesian, scalar, result) {
Check_default.typeOf.object("cartesian", cartesian);
Check_default.typeOf.number("scalar", scalar);
Check_default.typeOf.object("result", result);
result.x = cartesian.x / scalar;
result.y = cartesian.y / scalar;
return result;
}
/**
* Negates the provided Cartesian.
*
* @param {Cartesian2} cartesian The Cartesian to be negated.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
static negate(cartesian, result) {
Check_default.typeOf.object("cartesian", cartesian);
Check_default.typeOf.object("result", result);
result.x = -cartesian.x;
result.y = -cartesian.y;
return result;
}
/**
* Computes the absolute value of the provided Cartesian.
*
* @param {Cartesian2} cartesian The Cartesian whose absolute value is to be computed.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
static abs(cartesian, result) {
Check_default.typeOf.object("cartesian", cartesian);
Check_default.typeOf.object("result", result);
result.x = Math.abs(cartesian.x);
result.y = Math.abs(cartesian.y);
return result;
}
/**
* Computes the linear interpolation or extrapolation at t using the provided cartesians.
*
* @param {Cartesian2} start The value corresponding to t at 0.0.
* @param {Cartesian2} end The value corresponding to t at 1.0.
* @param {number} t The point along t at which to interpolate.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
static lerp(start, end, t, result) {
Check_default.typeOf.object("start", start);
Check_default.typeOf.object("end", end);
Check_default.typeOf.number("t", t);
Check_default.typeOf.object("result", result);
_Cartesian2.multiplyByScalar(end, t, lerpScratch);
result = _Cartesian2.multiplyByScalar(start, 1 - t, result);
return _Cartesian2.add(lerpScratch, result, result);
}
/**
* Returns the angle, in radians, between the provided Cartesians.
*
* @param {Cartesian2} left The first Cartesian.
* @param {Cartesian2} right The second Cartesian.
* @returns {number} The angle between the Cartesians.
*/
static angleBetween(left, right) {
Check_default.typeOf.object("left", left);
Check_default.typeOf.object("right", right);
_Cartesian2.normalize(left, angleBetweenScratch);
_Cartesian2.normalize(right, angleBetweenScratch2);
return Math_default.acosClamped(
_Cartesian2.dot(angleBetweenScratch, angleBetweenScratch2)
);
}
/**
* Returns the axis that is most orthogonal to the provided Cartesian.
*
* @param {Cartesian2} cartesian The Cartesian on which to find the most orthogonal axis.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The most orthogonal axis.
*/
static mostOrthogonalAxis(cartesian, result) {
Check_default.typeOf.object("cartesian", cartesian);
Check_default.typeOf.object("result", result);
const f = _Cartesian2.normalize(cartesian, mostOrthogonalAxisScratch);
_Cartesian2.abs(f, f);
if (f.x <= f.y) {
result = _Cartesian2.clone(_Cartesian2.UNIT_X, result);
} else {
result = _Cartesian2.clone(_Cartesian2.UNIT_Y, result);
}
return result;
}
/**
* Compares the provided Cartesians componentwise and returns
* true if they are equal, false otherwise.
*
* @param {Cartesian2} [left] The first Cartesian.
* @param {Cartesian2} [right] The second Cartesian.
* @returns {boolean} true if left and right are equal, false otherwise.
*/
static equals(left, right) {
return left === right || defined_default(left) && defined_default(right) && left.x === right.x && left.y === right.y;
}
/**
* @param {Cartesian2} cartesian
* @param {number[]} array
* @param {number} offset
* @ignore
*/
static equalsArray(cartesian, array, offset) {
return cartesian.x === array[offset] && cartesian.y === array[offset + 1];
}
/**
* Compares the provided Cartesians componentwise and returns
* true if they pass an absolute or relative tolerance test,
* false otherwise.
*
* @param {Cartesian2} [left] The first Cartesian.
* @param {Cartesian2} [right] The second Cartesian.
* @param {number} [relativeEpsilon=0] 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 left and right are within the provided epsilon, false otherwise.
*/
static equalsEpsilon(left, right, relativeEpsilon, absoluteEpsilon) {
return left === right || defined_default(left) && defined_default(right) && Math_default.equalsEpsilon(
left.x,
right.x,
relativeEpsilon,
absoluteEpsilon
) && Math_default.equalsEpsilon(
left.y,
right.y,
relativeEpsilon,
absoluteEpsilon
);
}
/**
* Duplicates this Cartesian2 instance.
*
* @param {Cartesian2} [result] The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided.
*/
clone(result) {
return _Cartesian2.clone(this, result);
}
/**
* Compares this Cartesian against the provided Cartesian componentwise and returns
* true if they are equal, false otherwise.
*
* @param {Cartesian2} [right] The right hand side Cartesian.
* @returns {boolean} true if they are equal, false otherwise.
*/
equals(right) {
return _Cartesian2.equals(this, right);
}
/**
* Compares this Cartesian against the provided Cartesian componentwise and returns
* true if they pass an absolute or relative tolerance test,
* false otherwise.
*
* @param {Cartesian2} [right] The right hand side Cartesian.
* @param {number} [relativeEpsilon=0] 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 they are within the provided epsilon, false otherwise.
*/
equalsEpsilon(right, relativeEpsilon, absoluteEpsilon) {
return _Cartesian2.equalsEpsilon(
this,
right,
relativeEpsilon,
absoluteEpsilon
);
}
/**
* Creates a string representing this Cartesian in the format '(x, y)'.
*
* @returns {string} A string representing the provided Cartesian in the format '(x, y)'.
*/
toString() {
return `(${this.x}, ${this.y})`;
}
};
Cartesian2.fromCartesian3 = Cartesian2.clone;
Cartesian2.fromCartesian4 = Cartesian2.clone;
Cartesian2.packedLength = 2;
Cartesian2.fromArray = Cartesian2.unpack;
var distanceScratch = new Cartesian2();
var lerpScratch = new Cartesian2();
var angleBetweenScratch = new Cartesian2();
var angleBetweenScratch2 = new Cartesian2();
var mostOrthogonalAxisScratch = new Cartesian2();
Cartesian2.ZERO = Object.freeze(new Cartesian2(0, 0));
Cartesian2.ONE = Object.freeze(new Cartesian2(1, 1));
Cartesian2.UNIT_X = Object.freeze(new Cartesian2(1, 0));
Cartesian2.UNIT_Y = Object.freeze(new Cartesian2(0, 1));
var Cartesian2_default = Cartesian2;
// packages/engine/Source/Core/Ellipsoid.js
function initialize(ellipsoid, x, y, z) {
x = x ?? 0;
y = y ?? 0;
z = z ?? 0;
Check_default.typeOf.number.greaterThanOrEquals("x", x, 0);
Check_default.typeOf.number.greaterThanOrEquals("y", y, 0);
Check_default.typeOf.number.greaterThanOrEquals("z", z, 0);
ellipsoid._radii = new Cartesian3_default(x, y, z);
ellipsoid._radiiSquared = new Cartesian3_default(x * x, y * y, z * z);
ellipsoid._radiiToTheFourth = new Cartesian3_default(
x * x * x * x,
y * y * y * y,
z * z * z * z
);
ellipsoid._oneOverRadii = new Cartesian3_default(
x === 0 ? 0 : 1 / x,
y === 0 ? 0 : 1 / y,
z === 0 ? 0 : 1 / z
);
ellipsoid._oneOverRadiiSquared = new Cartesian3_default(
x === 0 ? 0 : 1 / (x * x),
y === 0 ? 0 : 1 / (y * y),
z === 0 ? 0 : 1 / (z * z)
);
ellipsoid._minimumRadius = Math.min(x, y, z);
ellipsoid._maximumRadius = Math.max(x, y, z);
ellipsoid._centerToleranceSquared = Math_default.EPSILON1;
if (ellipsoid._radiiSquared.z !== 0) {
ellipsoid._squaredXOverSquaredZ = ellipsoid._radiiSquared.x / ellipsoid._radiiSquared.z;
}
}
var Ellipsoid = class _Ellipsoid {
/**
* @param {number} [x=0] The radius in the x direction.
* @param {number} [y=0] The radius in the y direction.
* @param {number} [z=0] The radius in the z direction.
*
* @exception {DeveloperError} All radii components must be greater than or equal to zero.
*/
constructor(x, y, z) {
this._radii = void 0;
this._radiiSquared = void 0;
this._radiiToTheFourth = void 0;
this._oneOverRadii = void 0;
this._oneOverRadiiSquared = void 0;
this._minimumRadius = void 0;
this._maximumRadius = void 0;
this._centerToleranceSquared = void 0;
this._squaredXOverSquaredZ = void 0;
initialize(this, x, y, z);
}
/**
* Gets the radii of the ellipsoid.
* @type {Cartesian3}
* @readonly
*/
get radii() {
return this._radii;
}
/**
* Gets the squared radii of the ellipsoid.
* @type {Cartesian3}
* @readonly
*/
get radiiSquared() {
return this._radiiSquared;
}
/**
* Gets the radii of the ellipsoid raise to the fourth power.
* @type {Cartesian3}
* @readonly
*/
get radiiToTheFourth() {
return this._radiiToTheFourth;
}
/**
* Gets one over the radii of the ellipsoid.
* @type {Cartesian3}
* @readonly
*/
get oneOverRadii() {
return this._oneOverRadii;
}
/**
* Gets one over the squared radii of the ellipsoid.
* @type {Cartesian3}
* @readonly
*/
get oneOverRadiiSquared() {
return this._oneOverRadiiSquared;
}
/**
* Gets the minimum radius of the ellipsoid.
* @type {number}
* @readonly
*/
get minimumRadius() {
return this._minimumRadius;
}
/**
* Gets the maximum radius of the ellipsoid.
* @type {number}
* @readonly
*/
get maximumRadius() {
return this._maximumRadius;
}
/**
* Duplicates an Ellipsoid instance.
*
* @param {Ellipsoid} ellipsoid The ellipsoid to duplicate.
* @param {Ellipsoid} [result] The object onto which to store the result, or undefined if a new
* instance should be created.
* @returns {Ellipsoid} The cloned Ellipsoid. (Returns undefined if ellipsoid is undefined)
*/
static clone(ellipsoid, result) {
if (!defined_default(ellipsoid)) {
return void 0;
}
const radii = ellipsoid._radii;
if (!defined_default(result)) {
return new _Ellipsoid(radii.x, radii.y, radii.z);
}
Cartesian3_default.clone(radii, result._radii);
Cartesian3_default.clone(ellipsoid._radiiSquared, result._radiiSquared);
Cartesian3_default.clone(ellipsoid._radiiToTheFourth, result._radiiToTheFourth);
Cartesian3_default.clone(ellipsoid._oneOverRadii, result._oneOverRadii);
Cartesian3_default.clone(
ellipsoid._oneOverRadiiSquared,
result._oneOverRadiiSquared
);
result._minimumRadius = ellipsoid._minimumRadius;
result._maximumRadius = ellipsoid._maximumRadius;
result._centerToleranceSquared = ellipsoid._centerToleranceSquared;
return result;
}
/**
* Computes an Ellipsoid from a Cartesian specifying the radii in x, y, and z directions.
*
* @param {Cartesian3} [cartesian=Cartesian3.ZERO] The ellipsoid's radius in the x, y, and z directions.
* @param {Ellipsoid} [result] The object onto which to store the result, or undefined if a new
* instance should be created.
* @returns {Ellipsoid} A new Ellipsoid instance.
*
* @exception {DeveloperError} All radii components must be greater than or equal to zero.
*
* @see Ellipsoid.WGS84
* @see Ellipsoid.UNIT_SPHERE
*/
static fromCartesian3(cartesian, result) {
if (!defined_default(result)) {
result = new _Ellipsoid();
}
if (!defined_default(cartesian)) {
return result;
}
initialize(result, cartesian.x, cartesian.y, cartesian.z);
return result;
}
/**
* The default ellipsoid used when not otherwise specified.
* @type {Ellipsoid}
* @example
* Cesium.Ellipsoid.default = Cesium.Ellipsoid.MOON;
*
* // Apollo 11 landing site
* const position = Cesium.Cartesian3.fromRadians(
* 0.67416,
* 23.47315,
* );
*/
static get default() {
return _Ellipsoid._default;
}
static set default(value) {
Check_default.typeOf.object("value", value);
_Ellipsoid._default = value;
Cartesian3_default._ellipsoidRadiiSquared = value.radiiSquared;
Cartographic_default._ellipsoidOneOverRadii = value.oneOverRadii;
Cartographic_default._ellipsoidOneOverRadiiSquared = value.oneOverRadiiSquared;
Cartographic_default._ellipsoidCenterToleranceSquared = value._centerToleranceSquared;
}
/**
* Duplicates an Ellipsoid instance.
*
* @param {Ellipsoid} [result] The object onto which to store the result, or undefined if a new
* instance should be created.
* @returns {Ellipsoid} The cloned Ellipsoid.
*/
clone(result) {
return _Ellipsoid.clone(this, result);
}
/**
* Stores the provided instance into the provided array.
*
* @param {Ellipsoid} 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
*/
static pack(value, array, startingIndex) {
Check_default.typeOf.object("value", value);
Check_default.defined("array", array);
startingIndex = startingIndex ?? 0;
Cartesian3_default.pack(value._radii, array, startingIndex);
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 {Ellipsoid} [result] The object into which to store the result.
* @returns {Ellipsoid} The modified result parameter or a new Ellipsoid instance if one was not provided.
*/
static unpack(array, startingIndex, result) {
Check_default.defined("array", array);
startingIndex = startingIndex ?? 0;
const radii = Cartesian3_default.unpack(array, startingIndex);
return _Ellipsoid.fromCartesian3(radii, result);
}
/**
* Computes the normal of the plane tangent to the surface of the ellipsoid at the provided position.
*
* @param {Cartographic} cartographic The cartographic position for which to to determine the geodetic normal.
* @param {Cartesian3} [result] The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if none was provided.
*/
geodeticSurfaceNormalCartographic(cartographic, result) {
Check_default.typeOf.object("cartographic", cartographic);
const longitude = cartographic.longitude;
const latitude = cartographic.latitude;
const cosLatitude = Math.cos(latitude);
const x = cosLatitude * Math.cos(longitude);
const y = cosLatitude * Math.sin(longitude);
const z = Math.sin(latitude);
if (!defined_default(result)) {
result = new Cartesian3_default();
}
result.x = x;
result.y = y;
result.z = z;
return Cartesian3_default.normalize(result, result);
}
/**
* Computes the normal of the plane tangent to the surface of the ellipsoid at the provided position.
*
* @param {Cartesian3} cartesian The Cartesian position for which to to determine the surface normal.
* @param {Cartesian3} [result] The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if none was provided, or undefined if a normal cannot be found.
*/
geodeticSurfaceNormal(cartesian, result) {
Check_default.typeOf.object("cartesian", cartesian);
if (isNaN(cartesian.x) || isNaN(cartesian.y) || isNaN(cartesian.z)) {
throw new DeveloperError_default("cartesian has a NaN component");
}
if (Cartesian3_default.equalsEpsilon(cartesian, Cartesian3_default.ZERO, Math_default.EPSILON14)) {
return void 0;
}
if (!defined_default(result)) {
result = new Cartesian3_default();
}
result = Cartesian3_default.multiplyComponents(
cartesian,
this._oneOverRadiiSquared,
result
);
return Cartesian3_default.normalize(result, result);
}
/**
* Converts the provided cartographic to Cartesian representation.
*
* @param {Cartographic} cartographic The cartographic position.
* @param {Cartesian3} [result] The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if none was provided.
*
* @example
* //Create a Cartographic and determine it's Cartesian representation on a WGS84 ellipsoid.
* const position = new Cesium.Cartographic(Cesium.Math.toRadians(21), Cesium.Math.toRadians(78), 5000);
* const cartesianPosition = Cesium.Ellipsoid.WGS84.cartographicToCartesian(position);
*/
cartographicToCartesian(cartographic, result) {
const n = cartographicToCartesianNormal;
const k = cartographicToCartesianK;
this.geodeticSurfaceNormalCartographic(cartographic, n);
Cartesian3_default.multiplyComponents(this._radiiSquared, n, k);
const gamma = Math.sqrt(Cartesian3_default.dot(n, k));
Cartesian3_default.divideByScalar(k, gamma, k);
Cartesian3_default.multiplyByScalar(n, cartographic.height, n);
if (!defined_default(result)) {
result = new Cartesian3_default();
}
return Cartesian3_default.add(k, n, result);
}
/**
* Converts the provided array of cartographics to an array of Cartesians.
*
* @param {Cartographic[]} cartographics An array of cartographic positions.
* @param {Cartesian3[]} [result] The object onto which to store the result.
* @returns {Cartesian3[]} The modified result parameter or a new Array instance if none was provided.
*
* @example
* //Convert an array of Cartographics and determine their Cartesian representation on a WGS84 ellipsoid.
* const positions = [new Cesium.Cartographic(Cesium.Math.toRadians(21), Cesium.Math.toRadians(78), 0),
* new Cesium.Cartographic(Cesium.Math.toRadians(21.321), Cesium.Math.toRadians(78.123), 100),
* new Cesium.Cartographic(Cesium.Math.toRadians(21.645), Cesium.Math.toRadians(78.456), 250)];
* const cartesianPositions = Cesium.Ellipsoid.WGS84.cartographicArrayToCartesianArray(positions);
*/
cartographicArrayToCartesianArray(cartographics, result) {
Check_default.defined("cartographics", cartographics);
const length = cartographics.length;
if (!defined_default(result)) {
result = new Array(length);
} else {
result.length = length;
}
for (let i = 0; i < length; i++) {
result[i] = this.cartographicToCartesian(cartographics[i], result[i]);
}
return result;
}
/**
* Converts the provided cartesian to cartographic representation.
* The cartesian is undefined at the center of the ellipsoid.
*
* @param {Cartesian3} cartesian The Cartesian position to convert to cartographic representation.
* @param {Cartographic} [result] The object onto which to store the result.
* @returns {Cartographic} The modified result parameter, new Cartographic instance if none was provided, or undefined if the cartesian is at the center of the ellipsoid.
*
* @example
* //Create a Cartesian and determine it's Cartographic representation on a WGS84 ellipsoid.
* const position = new Cesium.Cartesian3(17832.12, 83234.52, 952313.73);
* const cartographicPosition = Cesium.Ellipsoid.WGS84.cartesianToCartographic(position);
*/
cartesianToCartographic(cartesian, result) {
const p = this.scaleToGeodeticSurface(cartesian, cartesianToCartographicP2);
if (!defined_default(p)) {
return void 0;
}
const n = this.geodeticSurfaceNormal(p, cartesianToCartographicN2);
const h = Cartesian3_default.subtract(cartesian, p, cartesianToCartographicH2);
const longitude = Math.atan2(n.y, n.x);
const latitude = Math.asin(n.z);
const height = Math_default.sign(Cartesian3_default.dot(h, cartesian)) * Cartesian3_default.magnitude(h);
if (!defined_default(result)) {
return new Cartographic_default(longitude, latitude, height);
}
result.longitude = longitude;
result.latitude = latitude;
result.height = height;
return result;
}
/**
* Converts the provided array of cartesians to an array of cartographics.
*
* @param {Cartesian3[]} cartesians An array of Cartesian positions.
* @param {Cartographic[]} [result] The object onto which to store the result.
* @returns {Cartographic[]} The modified result parameter or a new Array instance if none was provided.
*
* @example
* //Create an array of Cartesians and determine their Cartographic representation on a WGS84 ellipsoid.
* const positions = [new Cesium.Cartesian3(17832.12, 83234.52, 952313.73),
* new Cesium.Cartesian3(17832.13, 83234.53, 952313.73),
* new Cesium.Cartesian3(17832.14, 83234.54, 952313.73)]
* const cartographicPositions = Cesium.Ellipsoid.WGS84.cartesianArrayToCartographicArray(positions);
*/
cartesianArrayToCartographicArray(cartesians, result) {
Check_default.defined("cartesians", cartesians);
const length = cartesians.length;
if (!defined_default(result)) {
result = new Array(length);
} else {
result.length = length;
}
for (let i = 0; i < length; ++i) {
result[i] = this.cartesianToCartographic(cartesians[i], result[i]);
}
return result;
}
/**
* Scales the provided Cartesian position along the geodetic surface normal
* so that it is on the surface of this ellipsoid. If the position is
* at the center of the ellipsoid, this function returns undefined.
*
* @param {Cartesian3} cartesian The Cartesian position to scale.
* @param {Cartesian3} [result] The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter, a new Cartesian3 instance if none was provided, or undefined if the position is at the center.
*/
scaleToGeodeticSurface(cartesian, result) {
return scaleToGeodeticSurface_default(
cartesian,
this._oneOverRadii,
this._oneOverRadiiSquared,
this._centerToleranceSquared,
result
);
}
/**
* Scales the provided Cartesian position along the geocentric surface normal
* so that it is on the surface of this ellipsoid.
*
* @param {Cartesian3} cartesian The Cartesian position to scale.
* @param {Cartesian3} [result] The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if none was provided.
*/
scaleToGeocentricSurface(cartesian, result) {
Check_default.typeOf.object("cartesian", cartesian);
if (!defined_default(result)) {
result = new Cartesian3_default();
}
const positionX = cartesian.x;
const positionY = cartesian.y;
const positionZ = cartesian.z;
const oneOverRadiiSquared = this._oneOverRadiiSquared;
const beta = 1 / Math.sqrt(
positionX * positionX * oneOverRadiiSquared.x + positionY * positionY * oneOverRadiiSquared.y + positionZ * positionZ * oneOverRadiiSquared.z
);
return Cartesian3_default.multiplyByScalar(cartesian, beta, result);
}
/**
* Transforms a Cartesian X, Y, Z position to the ellipsoid-scaled space by multiplying
* its components by the result of {@link Ellipsoid#oneOverRadii}.
*
* @param {Cartesian3} position The position to transform.
* @param {Cartesian3} [result] The position to which to copy the result, or undefined to create and
* return a new instance.
* @returns {Cartesian3} The position expressed in the scaled space. The returned instance is the
* one passed as the result parameter if it is not undefined, or a new instance of it is.
*/
transformPositionToScaledSpace(position, result) {
if (!defined_default(result)) {
result = new Cartesian3_default();
}
return Cartesian3_default.multiplyComponents(position, this._oneOverRadii, result);
}
/**
* Transforms a Cartesian X, Y, Z position from the ellipsoid-scaled space by multiplying
* its components by the result of {@link Ellipsoid#radii}.
*
* @param {Cartesian3} position The position to transform.
* @param {Cartesian3} [result] The position to which to copy the result, or undefined to create and
* return a new instance.
* @returns {Cartesian3} The position expressed in the unscaled space. The returned instance is the
* one passed as the result parameter if it is not undefined, or a new instance of it is.
*/
transformPositionFromScaledSpace(position, result) {
if (!defined_default(result)) {
result = new Cartesian3_default();
}
return Cartesian3_default.multiplyComponents(position, this._radii, result);
}
/**
* Compares this Ellipsoid against the provided Ellipsoid componentwise and returns
* true if they are equal, false otherwise.
*
* @param {Ellipsoid} [right] The other Ellipsoid.
* @returns {boolean} true if they are equal, false otherwise.
*/
equals(right) {
return this === right || defined_default(right) && Cartesian3_default.equals(this._radii, right._radii);
}
/**
* Creates a string representing this Ellipsoid in the format '(radii.x, radii.y, radii.z)'.
*
* @returns {string} A string representing this ellipsoid in the format '(radii.x, radii.y, radii.z)'.
*/
toString() {
return this._radii.toString();
}
/**
* Computes a point which is the intersection of the surface normal with the z-axis.
*
* @param {Cartesian3} position the position. must be on the surface of the ellipsoid.
* @param {number} [buffer = 0.0] A buffer to subtract from the ellipsoid size when checking if the point is inside the ellipsoid.
* In earth case, with common earth datums, there is no need for this buffer since the intersection point is always (relatively) very close to the center.
* In WGS84 datum, intersection point is at max z = +-42841.31151331382 (0.673% of z-axis).
* Intersection point could be outside the ellipsoid if the ratio of MajorAxis / AxisOfRotation is bigger than the square root of 2
* @param {Cartesian3} [result] The cartesian to which to copy the result, or undefined to create and
* return a new instance.
* @returns {Cartesian3 | undefined} the intersection point if it's inside the ellipsoid, undefined otherwise
*
* @exception {DeveloperError} position is required.
* @exception {DeveloperError} Ellipsoid must be an ellipsoid of revolution (radii.x == radii.y).
* @exception {DeveloperError} Ellipsoid.radii.z must be greater than 0.
*/
getSurfaceNormalIntersectionWithZAxis(position, buffer, result) {
Check_default.typeOf.object("position", position);
if (!Math_default.equalsEpsilon(
this._radii.x,
this._radii.y,
Math_default.EPSILON15
)) {
throw new DeveloperError_default(
"Ellipsoid must be an ellipsoid of revolution (radii.x == radii.y)"
);
}
Check_default.typeOf.number.greaterThan("Ellipsoid.radii.z", this._radii.z, 0);
buffer = buffer ?? 0;
const squaredXOverSquaredZ = this._squaredXOverSquaredZ;
if (!defined_default(result)) {
result = new Cartesian3_default();
}
result.x = 0;
result.y = 0;
result.z = position.z * (1 - squaredXOverSquaredZ);
if (Math.abs(result.z) >= this._radii.z - buffer) {
return void 0;
}
return result;
}
/**
* Computes the ellipsoid curvatures at a given position on the surface.
*
* @param {Cartesian3} surfacePosition The position on the ellipsoid surface where curvatures will be calculated.
* @param {Cartesian2} [result] The cartesian to which to copy the result, or undefined to create and return a new instance.
* @returns {Cartesian2} The local curvature of the ellipsoid surface at the provided position, in east and north directions.
*
* @exception {DeveloperError} position is required.
*/
getLocalCurvature(surfacePosition, result) {
Check_default.typeOf.object("surfacePosition", surfacePosition);
if (!defined_default(result)) {
result = new Cartesian2_default();
}
const primeVerticalEndpoint = this.getSurfaceNormalIntersectionWithZAxis(
surfacePosition,
0,
scratchEndpoint
);
const primeVerticalRadius = Cartesian3_default.distance(
surfacePosition,
primeVerticalEndpoint
);
const radiusRatio = this.minimumRadius * primeVerticalRadius / this.maximumRadius ** 2;
const meridionalRadius = primeVerticalRadius * radiusRatio ** 2;
return Cartesian2_default.fromElements(
1 / primeVerticalRadius,
1 / meridionalRadius,
result
);
}
/**
* Computes an approximation of the surface area of a rectangle on the surface of an ellipsoid using
* Gauss-Legendre 10th order quadrature.
*
* @param {Rectangle} rectangle The rectangle used for computing the surface area.
* @returns {number} The approximate area of the rectangle on the surface of this ellipsoid.
*/
surfaceArea(rectangle) {
Check_default.typeOf.object("rectangle", rectangle);
const minLongitude = rectangle.west;
let maxLongitude = rectangle.east;
const minLatitude = rectangle.south;
const maxLatitude = rectangle.north;
while (maxLongitude < minLongitude) {
maxLongitude += Math_default.TWO_PI;
}
const radiiSquared = this._radiiSquared;
const a2 = radiiSquared.x;
const b2 = radiiSquared.y;
const c2 = radiiSquared.z;
const a2b2 = a2 * b2;
return gaussLegendreQuadrature(minLatitude, maxLatitude, function(lat) {
const sinPhi = Math.cos(lat);
const cosPhi = Math.sin(lat);
return Math.cos(lat) * gaussLegendreQuadrature(minLongitude, maxLongitude, function(lon) {
const cosTheta = Math.cos(lon);
const sinTheta = Math.sin(lon);
return Math.sqrt(
a2b2 * cosPhi * cosPhi + c2 * (b2 * cosTheta * cosTheta + a2 * sinTheta * sinTheta) * sinPhi * sinPhi
);
});
});
}
};
Ellipsoid.WGS84 = Object.freeze(
new Ellipsoid(6378137, 6378137, 6356752314245179e-9)
);
Ellipsoid.UNIT_SPHERE = Object.freeze(new Ellipsoid(1, 1, 1));
Ellipsoid.MOON = Object.freeze(
new Ellipsoid(
Math_default.LUNAR_RADIUS,
Math_default.LUNAR_RADIUS,
Math_default.LUNAR_RADIUS
)
);
Ellipsoid.MARS = Object.freeze(new Ellipsoid(3396190, 3396190, 3376200));
Ellipsoid._default = Ellipsoid.WGS84;
Ellipsoid.packedLength = Cartesian3_default.packedLength;
Ellipsoid.prototype.geocentricSurfaceNormal = Cartesian3_default.normalize;
var cartographicToCartesianNormal = new Cartesian3_default();
var cartographicToCartesianK = new Cartesian3_default();
var cartesianToCartographicN2 = new Cartesian3_default();
var cartesianToCartographicP2 = new Cartesian3_default();
var cartesianToCartographicH2 = new Cartesian3_default();
var scratchEndpoint = new Cartesian3_default();
var abscissas = [
0.14887433898163,
0.43339539412925,
0.67940956829902,
0.86506336668898,
0.97390652851717,
0
];
var weights = [
0.29552422471475,
0.26926671930999,
0.21908636251598,
0.14945134915058,
0.066671344308684,
0
];
function gaussLegendreQuadrature(a, b, func) {
Check_default.typeOf.number("a", a);
Check_default.typeOf.number("b", b);
Check_default.typeOf.func("func", func);
const xMean = 0.5 * (b + a);
const xRange = 0.5 * (b - a);
let sum = 0;
for (let i = 0; i < 5; i++) {
const dx = xRange * abscissas[i];
sum += weights[i] * (func(xMean + dx) + func(xMean - dx));
}
sum *= xRange;
return sum;
}
var Ellipsoid_default = Ellipsoid;
// packages/engine/Source/Core/Fullscreen.js
var _supportsFullscreen;
var _names = {
requestFullscreen: void 0,
exitFullscreen: void 0,
fullscreenEnabled: void 0,
fullscreenElement: void 0,
fullscreenchange: void 0,
fullscreenerror: void 0
};
var Fullscreen = {};
Object.defineProperties(Fullscreen, {
/**
* The element that is currently fullscreen, if any. To simply check if the
* browser is in fullscreen mode or not, use {@link Fullscreen#fullscreen}.
* @memberof Fullscreen
* @type {object}
* @readonly
*/
element: {
get: function() {
if (!Fullscreen.supportsFullscreen()) {
return void 0;
}
return document[_names.fullscreenElement];
}
},
/**
* The name of the event on the document that is fired when fullscreen is
* entered or exited. This event name is intended for use with addEventListener.
* In your event handler, to determine if the browser is in fullscreen mode or not,
* use {@link Fullscreen#fullscreen}.
* @memberof Fullscreen
* @type {string}
* @readonly
*/
changeEventName: {
get: function() {
if (!Fullscreen.supportsFullscreen()) {
return void 0;
}
return _names.fullscreenchange;
}
},
/**
* The name of the event that is fired when a fullscreen error
* occurs. This event name is intended for use with addEventListener.
* @memberof Fullscreen
* @type {string}
* @readonly
*/
errorEventName: {
get: function() {
if (!Fullscreen.supportsFullscreen()) {
return void 0;
}
return _names.fullscreenerror;
}
},
/**
* Determine whether the browser will allow an element to be made fullscreen, or not.
* For example, by default, iframes cannot go fullscreen unless the containing page
* adds an "allowfullscreen" attribute (or prefixed equivalent).
* @memberof Fullscreen
* @type {boolean}
* @readonly
*/
enabled: {
get: function() {
if (!Fullscreen.supportsFullscreen()) {
return void 0;
}
return document[_names.fullscreenEnabled];
}
},
/**
* Determines if the browser is currently in fullscreen mode.
* @memberof Fullscreen
* @type {boolean}
* @readonly
*/
fullscreen: {
get: function() {
if (!Fullscreen.supportsFullscreen()) {
return void 0;
}
return Fullscreen.element !== null;
}
}
});
Fullscreen.supportsFullscreen = function() {
if (defined_default(_supportsFullscreen)) {
return _supportsFullscreen;
}
_supportsFullscreen = false;
const body = document.body;
if (typeof body.requestFullscreen === "function") {
_names.requestFullscreen = "requestFullscreen";
_names.exitFullscreen = "exitFullscreen";
_names.fullscreenEnabled = "fullscreenEnabled";
_names.fullscreenElement = "fullscreenElement";
_names.fullscreenchange = "fullscreenchange";
_names.fullscreenerror = "fullscreenerror";
_supportsFullscreen = true;
return _supportsFullscreen;
}
const prefixes = ["webkit", "moz", "o", "ms", "khtml"];
let name;
for (let i = 0, len = prefixes.length; i < len; ++i) {
const prefix = prefixes[i];
name = `${prefix}RequestFullscreen`;
if (typeof body[name] === "function") {
_names.requestFullscreen = name;
_supportsFullscreen = true;
} else {
name = `${prefix}RequestFullScreen`;
if (typeof body[name] === "function") {
_names.requestFullscreen = name;
_supportsFullscreen = true;
}
}
name = `${prefix}ExitFullscreen`;
if (typeof document[name] === "function") {
_names.exitFullscreen = name;
} else {
name = `${prefix}CancelFullScreen`;
if (typeof document[name] === "function") {
_names.exitFullscreen = name;
}
}
name = `${prefix}FullscreenEnabled`;
if (document[name] !== void 0) {
_names.fullscreenEnabled = name;
} else {
name = `${prefix}FullScreenEnabled`;
if (document[name] !== void 0) {
_names.fullscreenEnabled = name;
}
}
name = `${prefix}FullscreenElement`;
if (document[name] !== void 0) {
_names.fullscreenElement = name;
} else {
name = `${prefix}FullScreenElement`;
if (document[name] !== void 0) {
_names.fullscreenElement = name;
}
}
name = `${prefix}fullscreenchange`;
if (document[`on${name}`] !== void 0) {
if (prefix === "ms") {
name = "MSFullscreenChange";
}
_names.fullscreenchange = name;
}
name = `${prefix}fullscreenerror`;
if (document[`on${name}`] !== void 0) {
if (prefix === "ms") {
name = "MSFullscreenError";
}
_names.fullscreenerror = name;
}
}
return _supportsFullscreen;
};
Fullscreen.requestFullscreen = function(element, vrDevice) {
if (!Fullscreen.supportsFullscreen()) {
return;
}
element[_names.requestFullscreen]({ vrDisplay: vrDevice });
};
Fullscreen.exitFullscreen = function() {
if (!Fullscreen.supportsFullscreen()) {
return;
}
document[_names.exitFullscreen]();
};
Fullscreen._names = _names;
var Fullscreen_default = Fullscreen;
// packages/engine/Source/Core/FeatureDetection.js
var theNavigator;
if (typeof navigator !== "undefined") {
theNavigator = navigator;
} else {
theNavigator = {};
}
function extractVersion(versionString) {
const parts = versionString.split(".");
for (let i = 0, len = parts.length; i < len; ++i) {
parts[i] = parseInt(parts[i], 10);
}
return parts;
}
var isChromeResult;
var chromeVersionResult;
function isChrome() {
if (!defined_default(isChromeResult)) {
isChromeResult = false;
if (!isEdge()) {
const fields = / Chrome\/([\.0-9]+)/.exec(theNavigator.userAgent);
if (fields !== null) {
isChromeResult = true;
chromeVersionResult = extractVersion(fields[1]);
}
}
}
return isChromeResult;
}
function chromeVersion() {
return isChrome() && chromeVersionResult;
}
var isSafariResult;
var safariVersionResult;
function isSafari() {
if (!defined_default(isSafariResult)) {
isSafariResult = false;
if (!isChrome() && !isEdge() && / Safari\/[\.0-9]+/.test(theNavigator.userAgent)) {
const fields = / Version\/([\.0-9]+)/.exec(theNavigator.userAgent);
if (fields !== null) {
isSafariResult = true;
safariVersionResult = extractVersion(fields[1]);
}
}
}
return isSafariResult;
}
function safariVersion() {
return isSafari() && safariVersionResult;
}
var isWebkitResult;
var webkitVersionResult;
function isWebkit() {
if (!defined_default(isWebkitResult)) {
isWebkitResult = false;
const fields = / AppleWebKit\/([\.0-9]+)(\+?)/.exec(theNavigator.userAgent);
if (fields !== null) {
isWebkitResult = true;
webkitVersionResult = extractVersion(fields[1]);
webkitVersionResult.isNightly = !!fields[2];
}
}
return isWebkitResult;
}
function webkitVersion() {
return isWebkit() && webkitVersionResult;
}
var isEdgeResult;
var edgeVersionResult;
function isEdge() {
if (!defined_default(isEdgeResult)) {
isEdgeResult = false;
const fields = / Edg\/([\.0-9]+)/.exec(theNavigator.userAgent);
if (fields !== null) {
isEdgeResult = true;
edgeVersionResult = extractVersion(fields[1]);
}
}
return isEdgeResult;
}
function edgeVersion() {
return isEdge() && edgeVersionResult;
}
var isFirefoxResult;
var firefoxVersionResult;
function isFirefox() {
if (!defined_default(isFirefoxResult)) {
isFirefoxResult = false;
const fields = /Firefox\/([\.0-9]+)/.exec(theNavigator.userAgent);
if (fields !== null) {
isFirefoxResult = true;
firefoxVersionResult = extractVersion(fields[1]);
}
}
return isFirefoxResult;
}
var isWindowsResult;
function isWindows() {
if (!defined_default(isWindowsResult)) {
isWindowsResult = /Windows/i.test(theNavigator.appVersion);
}
return isWindowsResult;
}
var isIPadOrIOSResult;
function isIPadOrIOS() {
if (!defined_default(isIPadOrIOSResult)) {
isIPadOrIOSResult = navigator.platform === "iPhone" || navigator.platform === "iPod" || navigator.platform === "iPad";
}
return isIPadOrIOSResult;
}
function firefoxVersion() {
return isFirefox() && firefoxVersionResult;
}
var hasPointerEvents;
function supportsPointerEvents() {
if (!defined_default(hasPointerEvents)) {
hasPointerEvents = !isFirefox() && typeof PointerEvent !== "undefined" && (!defined_default(theNavigator.pointerEnabled) || theNavigator.pointerEnabled);
}
return hasPointerEvents;
}
var imageRenderingValueResult;
var supportsImageRenderingPixelatedResult;
function supportsImageRenderingPixelated() {
if (!defined_default(supportsImageRenderingPixelatedResult)) {
const canvas = document.createElement("canvas");
canvas.setAttribute(
"style",
"image-rendering: -moz-crisp-edges;image-rendering: pixelated;"
);
const tmp = canvas.style.imageRendering;
supportsImageRenderingPixelatedResult = defined_default(tmp) && tmp !== "";
if (supportsImageRenderingPixelatedResult) {
imageRenderingValueResult = tmp;
}
}
return supportsImageRenderingPixelatedResult;
}
function imageRenderingValue() {
return supportsImageRenderingPixelated() ? imageRenderingValueResult : void 0;
}
function supportsWebP() {
if (!supportsWebP.initialized) {
throw new DeveloperError_default(
"You must call FeatureDetection.supportsWebP.initialize and wait for the promise to resolve before calling FeatureDetection.supportsWebP"
);
}
return supportsWebP._result;
}
supportsWebP._promise = void 0;
supportsWebP._result = void 0;
supportsWebP.initialize = function() {
if (defined_default(supportsWebP._promise)) {
return supportsWebP._promise;
}
supportsWebP._promise = new Promise((resolve) => {
const image = new Image();
image.onload = function() {
supportsWebP._result = image.width > 0 && image.height > 0;
resolve(supportsWebP._result);
};
image.onerror = function() {
supportsWebP._result = false;
resolve(supportsWebP._result);
};
image.src = "data:image/webp;base64,UklGRiIAAABXRUJQVlA4IBYAAAAwAQCdASoBAAEADsD+JaQAA3AAAAAA";
});
return supportsWebP._promise;
};
Object.defineProperties(supportsWebP, {
initialized: {
get: function() {
return defined_default(supportsWebP._result);
}
}
});
var typedArrayTypes = [];
if (typeof ArrayBuffer !== "undefined") {
typedArrayTypes.push(
Int8Array,
Uint8Array,
Int16Array,
Uint16Array,
Int32Array,
Uint32Array,
Float32Array,
Float64Array
);
if (typeof Uint8ClampedArray !== "undefined") {
typedArrayTypes.push(Uint8ClampedArray);
}
if (typeof Uint8ClampedArray !== "undefined") {
typedArrayTypes.push(Uint8ClampedArray);
}
if (typeof BigInt64Array !== "undefined") {
typedArrayTypes.push(BigInt64Array);
}
if (typeof BigUint64Array !== "undefined") {
typedArrayTypes.push(BigUint64Array);
}
}
var FeatureDetection = {
isChrome,
chromeVersion,
isSafari,
safariVersion,
isWebkit,
webkitVersion,
isEdge,
edgeVersion,
isFirefox,
firefoxVersion,
isWindows,
isIPadOrIOS,
hardwareConcurrency: theNavigator.hardwareConcurrency ?? 3,
supportsPointerEvents,
supportsImageRenderingPixelated,
supportsWebP,
imageRenderingValue,
typedArrayTypes
};
FeatureDetection.supportsBasis = function(scene) {
return FeatureDetection.supportsWebAssembly() && scene.context.supportsBasis;
};
FeatureDetection.supportsFullscreen = function() {
return Fullscreen_default.supportsFullscreen();
};
FeatureDetection.supportsTypedArrays = function() {
return typeof ArrayBuffer !== "undefined";
};
FeatureDetection.supportsBigInt64Array = function() {
return typeof BigInt64Array !== "undefined";
};
FeatureDetection.supportsBigUint64Array = function() {
return typeof BigUint64Array !== "undefined";
};
FeatureDetection.supportsBigInt = function() {
return typeof BigInt !== "undefined";
};
FeatureDetection.supportsWebWorkers = function() {
return typeof Worker !== "undefined";
};
FeatureDetection.supportsWebAssembly = function() {
return typeof WebAssembly !== "undefined";
};
FeatureDetection.supportsWebgl2 = function(scene) {
Check_default.defined("scene", scene);
return scene.context.webgl2;
};
FeatureDetection.supportsEsmWebWorkers = function() {
return !isFirefox() || parseInt(firefoxVersionResult) >= 114;
};
var FeatureDetection_default = FeatureDetection;
export {
Cartographic_default,
Cartesian2_default,
Ellipsoid_default,
FeatureDetection_default
};