/**
* Cesium - https://github.com/CesiumGS/cesium
*
* Copyright 2011-2020 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/master/LICENSE.md for full licensing details.
*/
define(['exports', './when-8d13db60', './Check-70bec281', './Math-61ede240'], function (exports, when, Check, _Math) { 'use strict';
/**
* A 3D Cartesian point.
* @alias Cartesian3
* @constructor
*
* @param {Number} [x=0.0] The X component.
* @param {Number} [y=0.0] The Y component.
* @param {Number} [z=0.0] The Z component.
*
* @see Cartesian2
* @see Cartesian4
* @see Packable
*/
function Cartesian3(x, y, z) {
/**
* The X component.
* @type {Number}
* @default 0.0
*/
this.x = when.defaultValue(x, 0.0);
/**
* The Y component.
* @type {Number}
* @default 0.0
*/
this.y = when.defaultValue(y, 0.0);
/**
* The Z component.
* @type {Number}
* @default 0.0
*/
this.z = when.defaultValue(z, 0.0);
}
/**
* Converts the provided Spherical into Cartesian3 coordinates.
*
* @param {Spherical} spherical The Spherical to be converted to Cartesian3.
* @param {Cartesian3} [result] The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if one was not provided.
*/
Cartesian3.fromSpherical = function(spherical, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('spherical', spherical);
//>>includeEnd('debug');
if (!when.defined(result)) {
result = new Cartesian3();
}
var clock = spherical.clock;
var cone = spherical.cone;
var magnitude = when.defaultValue(spherical.magnitude, 1.0);
var radial = magnitude * Math.sin(cone);
result.x = radial * Math.cos(clock);
result.y = radial * Math.sin(clock);
result.z = magnitude * Math.cos(cone);
return result;
};
/**
* Creates a Cartesian3 instance from x, y and z coordinates.
*
* @param {Number} x The x coordinate.
* @param {Number} y The y coordinate.
* @param {Number} z The z coordinate.
* @param {Cartesian3} [result] The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if one was not provided.
*/
Cartesian3.fromElements = function(x, y, z, result) {
if (!when.defined(result)) {
return new Cartesian3(x, y, z);
}
result.x = x;
result.y = y;
result.z = z;
return result;
};
/**
* Duplicates a Cartesian3 instance.
*
* @param {Cartesian3} cartesian The Cartesian to duplicate.
* @param {Cartesian3} [result] The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if one was not provided. (Returns undefined if cartesian is undefined)
*/
Cartesian3.clone = function(cartesian, result) {
if (!when.defined(cartesian)) {
return undefined;
}
if (!when.defined(result)) {
return new Cartesian3(cartesian.x, cartesian.y, cartesian.z);
}
result.x = cartesian.x;
result.y = cartesian.y;
result.z = cartesian.z;
return result;
};
/**
* Creates a Cartesian3 instance from an existing Cartesian4. This simply takes the
* x, y, and z properties of the Cartesian4 and drops w.
* @function
*
* @param {Cartesian4} cartesian The Cartesian4 instance to create a Cartesian3 instance from.
* @param {Cartesian3} [result] The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if one was not provided.
*/
Cartesian3.fromCartesian4 = Cartesian3.clone;
/**
* The number of elements used to pack the object into an array.
* @type {Number}
*/
Cartesian3.packedLength = 3;
/**
* Stores the provided instance into the provided array.
*
* @param {Cartesian3} 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
*/
Cartesian3.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.x;
array[startingIndex++] = value.y;
array[startingIndex] = value.z;
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 {Cartesian3} [result] The object into which to store the result.
* @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if one was not provided.
*/
Cartesian3.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 Cartesian3();
}
result.x = array[startingIndex++];
result.y = array[startingIndex++];
result.z = array[startingIndex];
return result;
};
/**
* Flattens an array of Cartesian3s into an array of components.
*
* @param {Cartesian3[]} array The array of cartesians to pack.
* @param {Number[]} result The array onto which to store the result.
* @returns {Number[]} The packed array.
*/
Cartesian3.packArray = function(array, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.defined('array', array);
//>>includeEnd('debug');
var length = array.length;
if (!when.defined(result)) {
result = new Array(length * 3);
} else {
result.length = length * 3;
}
for (var i = 0; i < length; ++i) {
Cartesian3.pack(array[i], result, i * 3);
}
return result;
};
/**
* Unpacks an array of cartesian components into an array of Cartesian3s.
*
* @param {Number[]} array The array of components to unpack.
* @param {Cartesian3[]} result The array onto which to store the result.
* @returns {Cartesian3[]} The unpacked array.
*/
Cartesian3.unpackArray = function(array, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.defined('array', array);
Check.Check.typeOf.number.greaterThanOrEquals('array.length', array.length, 3);
if (array.length % 3 !== 0) {
throw new Check.DeveloperError('array length must be a multiple of 3.');
}
//>>includeEnd('debug');
var length = array.length;
if (!when.defined(result)) {
result = new Array(length / 3);
} else {
result.length = length / 3;
}
for (var i = 0; i < length; i += 3) {
var index = i / 3;
result[index] = Cartesian3.unpack(array, i, result[index]);
}
return result;
};
/**
* Creates a Cartesian3 from three consecutive elements in an array.
* @function
*
* @param {Number[]} array The array whose three consecutive elements correspond to the x, y, and z components, respectively.
* @param {Number} [startingIndex=0] The offset into the array of the first element, which corresponds to the x component.
* @param {Cartesian3} [result] The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if one was not provided.
*
* @example
* // Create a Cartesian3 with (1.0, 2.0, 3.0)
* var v = [1.0, 2.0, 3.0];
* var p = Cesium.Cartesian3.fromArray(v);
*
* // Create a Cartesian3 with (1.0, 2.0, 3.0) using an offset into an array
* var v2 = [0.0, 0.0, 1.0, 2.0, 3.0];
* var p2 = Cesium.Cartesian3.fromArray(v2, 2);
*/
Cartesian3.fromArray = Cartesian3.unpack;
/**
* Computes the value of the maximum component for the supplied Cartesian.
*
* @param {Cartesian3} cartesian The cartesian to use.
* @returns {Number} The value of the maximum component.
*/
Cartesian3.maximumComponent = function(cartesian) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('cartesian', cartesian);
//>>includeEnd('debug');
return Math.max(cartesian.x, cartesian.y, cartesian.z);
};
/**
* Computes the value of the minimum component for the supplied Cartesian.
*
* @param {Cartesian3} cartesian The cartesian to use.
* @returns {Number} The value of the minimum component.
*/
Cartesian3.minimumComponent = function(cartesian) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('cartesian', cartesian);
//>>includeEnd('debug');
return Math.min(cartesian.x, cartesian.y, cartesian.z);
};
/**
* Compares two Cartesians and computes a Cartesian which contains the minimum components of the supplied Cartesians.
*
* @param {Cartesian3} first A cartesian to compare.
* @param {Cartesian3} second A cartesian to compare.
* @param {Cartesian3} result The object into which to store the result.
* @returns {Cartesian3} A cartesian with the minimum components.
*/
Cartesian3.minimumByComponent = function(first, second, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('first', first);
Check.Check.typeOf.object('second', second);
Check.Check.typeOf.object('result', result);
//>>includeEnd('debug');
result.x = Math.min(first.x, second.x);
result.y = Math.min(first.y, second.y);
result.z = Math.min(first.z, second.z);
return result;
};
/**
* Compares two Cartesians and computes a Cartesian which contains the maximum components of the supplied Cartesians.
*
* @param {Cartesian3} first A cartesian to compare.
* @param {Cartesian3} second A cartesian to compare.
* @param {Cartesian3} result The object into which to store the result.
* @returns {Cartesian3} A cartesian with the maximum components.
*/
Cartesian3.maximumByComponent = function(first, second, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('first', first);
Check.Check.typeOf.object('second', second);
Check.Check.typeOf.object('result', result);
//>>includeEnd('debug');
result.x = Math.max(first.x, second.x);
result.y = Math.max(first.y, second.y);
result.z = Math.max(first.z, second.z);
return result;
};
/**
* Computes the provided Cartesian's squared magnitude.
*
* @param {Cartesian3} cartesian The Cartesian instance whose squared magnitude is to be computed.
* @returns {Number} The squared magnitude.
*/
Cartesian3.magnitudeSquared = function(cartesian) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('cartesian', cartesian);
//>>includeEnd('debug');
return cartesian.x * cartesian.x + cartesian.y * cartesian.y + cartesian.z * cartesian.z;
};
/**
* Computes the Cartesian's magnitude (length).
*
* @param {Cartesian3} cartesian The Cartesian instance whose magnitude is to be computed.
* @returns {Number} The magnitude.
*/
Cartesian3.magnitude = function(cartesian) {
return Math.sqrt(Cartesian3.magnitudeSquared(cartesian));
};
var distanceScratch = new Cartesian3();
/**
* Computes the distance between two points.
*
* @param {Cartesian3} left The first point to compute the distance from.
* @param {Cartesian3} right The second point to compute the distance to.
* @returns {Number} The distance between two points.
*
* @example
* // Returns 1.0
* var d = Cesium.Cartesian3.distance(new Cesium.Cartesian3(1.0, 0.0, 0.0), new Cesium.Cartesian3(2.0, 0.0, 0.0));
*/
Cartesian3.distance = function(left, right) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('left', left);
Check.Check.typeOf.object('right', right);
//>>includeEnd('debug');
Cartesian3.subtract(left, right, distanceScratch);
return Cartesian3.magnitude(distanceScratch);
};
/**
* Computes the squared distance between two points. Comparing squared distances
* using this function is more efficient than comparing distances using {@link Cartesian3#distance}.
*
* @param {Cartesian3} left The first point to compute the distance from.
* @param {Cartesian3} right The second point to compute the distance to.
* @returns {Number} The distance between two points.
*
* @example
* // Returns 4.0, not 2.0
* var d = Cesium.Cartesian3.distanceSquared(new Cesium.Cartesian3(1.0, 0.0, 0.0), new Cesium.Cartesian3(3.0, 0.0, 0.0));
*/
Cartesian3.distanceSquared = function(left, right) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('left', left);
Check.Check.typeOf.object('right', right);
//>>includeEnd('debug');
Cartesian3.subtract(left, right, distanceScratch);
return Cartesian3.magnitudeSquared(distanceScratch);
};
/**
* Computes the normalized form of the supplied Cartesian.
*
* @param {Cartesian3} cartesian The Cartesian to be normalized.
* @param {Cartesian3} result The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter.
*/
Cartesian3.normalize = function(cartesian, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('cartesian', cartesian);
Check.Check.typeOf.object('result', result);
//>>includeEnd('debug');
var magnitude = Cartesian3.magnitude(cartesian);
result.x = cartesian.x / magnitude;
result.y = cartesian.y / magnitude;
result.z = cartesian.z / magnitude;
//>>includeStart('debug', pragmas.debug);
if (isNaN(result.x) || isNaN(result.y) || isNaN(result.z)) {
throw new Check.DeveloperError('normalized result is not a number');
}
//>>includeEnd('debug');
return result;
};
/**
* Computes the dot (scalar) product of two Cartesians.
*
* @param {Cartesian3} left The first Cartesian.
* @param {Cartesian3} right The second Cartesian.
* @returns {Number} The dot product.
*/
Cartesian3.dot = function(left, right) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('left', left);
Check.Check.typeOf.object('right', right);
//>>includeEnd('debug');
return left.x * right.x + left.y * right.y + left.z * right.z;
};
/**
* Computes the componentwise product of two Cartesians.
*
* @param {Cartesian3} left The first Cartesian.
* @param {Cartesian3} right The second Cartesian.
* @param {Cartesian3} result The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter.
*/
Cartesian3.multiplyComponents = function(left, right, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('left', left);
Check.Check.typeOf.object('right', right);
Check.Check.typeOf.object('result', result);
//>>includeEnd('debug');
result.x = left.x * right.x;
result.y = left.y * right.y;
result.z = left.z * right.z;
return result;
};
/**
* Computes the componentwise quotient of two Cartesians.
*
* @param {Cartesian3} left The first Cartesian.
* @param {Cartesian3} right The second Cartesian.
* @param {Cartesian3} result The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter.
*/
Cartesian3.divideComponents = function(left, right, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('left', left);
Check.Check.typeOf.object('right', right);
Check.Check.typeOf.object('result', result);
//>>includeEnd('debug');
result.x = left.x / right.x;
result.y = left.y / right.y;
result.z = left.z / right.z;
return result;
};
/**
* Computes the componentwise sum of two Cartesians.
*
* @param {Cartesian3} left The first Cartesian.
* @param {Cartesian3} right The second Cartesian.
* @param {Cartesian3} result The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter.
*/
Cartesian3.add = function(left, right, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('left', left);
Check.Check.typeOf.object('right', right);
Check.Check.typeOf.object('result', result);
//>>includeEnd('debug');
result.x = left.x + right.x;
result.y = left.y + right.y;
result.z = left.z + right.z;
return result;
};
/**
* Computes the componentwise difference of two Cartesians.
*
* @param {Cartesian3} left The first Cartesian.
* @param {Cartesian3} right The second Cartesian.
* @param {Cartesian3} result The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter.
*/
Cartesian3.subtract = function(left, right, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('left', left);
Check.Check.typeOf.object('right', right);
Check.Check.typeOf.object('result', result);
//>>includeEnd('debug');
result.x = left.x - right.x;
result.y = left.y - right.y;
result.z = left.z - right.z;
return result;
};
/**
* Multiplies the provided Cartesian componentwise by the provided scalar.
*
* @param {Cartesian3} cartesian The Cartesian to be scaled.
* @param {Number} scalar The scalar to multiply with.
* @param {Cartesian3} result The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter.
*/
Cartesian3.multiplyByScalar = function(cartesian, scalar, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('cartesian', cartesian);
Check.Check.typeOf.number('scalar', scalar);
Check.Check.typeOf.object('result', result);
//>>includeEnd('debug');
result.x = cartesian.x * scalar;
result.y = cartesian.y * scalar;
result.z = cartesian.z * scalar;
return result;
};
/**
* Divides the provided Cartesian componentwise by the provided scalar.
*
* @param {Cartesian3} cartesian The Cartesian to be divided.
* @param {Number} scalar The scalar to divide by.
* @param {Cartesian3} result The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter.
*/
Cartesian3.divideByScalar = function(cartesian, scalar, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('cartesian', cartesian);
Check.Check.typeOf.number('scalar', scalar);
Check.Check.typeOf.object('result', result);
//>>includeEnd('debug');
result.x = cartesian.x / scalar;
result.y = cartesian.y / scalar;
result.z = cartesian.z / scalar;
return result;
};
/**
* Negates the provided Cartesian.
*
* @param {Cartesian3} cartesian The Cartesian to be negated.
* @param {Cartesian3} result The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter.
*/
Cartesian3.negate = function(cartesian, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('cartesian', cartesian);
Check.Check.typeOf.object('result', result);
//>>includeEnd('debug');
result.x = -cartesian.x;
result.y = -cartesian.y;
result.z = -cartesian.z;
return result;
};
/**
* Computes the absolute value of the provided Cartesian.
*
* @param {Cartesian3} cartesian The Cartesian whose absolute value is to be computed.
* @param {Cartesian3} result The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter.
*/
Cartesian3.abs = function(cartesian, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('cartesian', cartesian);
Check.Check.typeOf.object('result', result);
//>>includeEnd('debug');
result.x = Math.abs(cartesian.x);
result.y = Math.abs(cartesian.y);
result.z = Math.abs(cartesian.z);
return result;
};
var lerpScratch = new Cartesian3();
/**
* Computes the linear interpolation or extrapolation at t using the provided cartesians.
*
* @param {Cartesian3} start The value corresponding to t at 0.0.
* @param {Cartesian3} end The value corresponding to t at 1.0.
* @param {Number} t The point along t at which to interpolate.
* @param {Cartesian3} result The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter.
*/
Cartesian3.lerp = function(start, end, t, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('start', start);
Check.Check.typeOf.object('end', end);
Check.Check.typeOf.number('t', t);
Check.Check.typeOf.object('result', result);
//>>includeEnd('debug');
Cartesian3.multiplyByScalar(end, t, lerpScratch);
result = Cartesian3.multiplyByScalar(start, 1.0 - t, result);
return Cartesian3.add(lerpScratch, result, result);
};
var angleBetweenScratch = new Cartesian3();
var angleBetweenScratch2 = new Cartesian3();
/**
* Returns the angle, in radians, between the provided Cartesians.
*
* @param {Cartesian3} left The first Cartesian.
* @param {Cartesian3} right The second Cartesian.
* @returns {Number} The angle between the Cartesians.
*/
Cartesian3.angleBetween = function(left, right) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('left', left);
Check.Check.typeOf.object('right', right);
//>>includeEnd('debug');
Cartesian3.normalize(left, angleBetweenScratch);
Cartesian3.normalize(right, angleBetweenScratch2);
var cosine = Cartesian3.dot(angleBetweenScratch, angleBetweenScratch2);
var sine = Cartesian3.magnitude(Cartesian3.cross(angleBetweenScratch, angleBetweenScratch2, angleBetweenScratch));
return Math.atan2(sine, cosine);
};
var mostOrthogonalAxisScratch = new Cartesian3();
/**
* Returns the axis that is most orthogonal to the provided Cartesian.
*
* @param {Cartesian3} cartesian The Cartesian on which to find the most orthogonal axis.
* @param {Cartesian3} result The object onto which to store the result.
* @returns {Cartesian3} The most orthogonal axis.
*/
Cartesian3.mostOrthogonalAxis = function(cartesian, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('cartesian', cartesian);
Check.Check.typeOf.object('result', result);
//>>includeEnd('debug');
var f = Cartesian3.normalize(cartesian, mostOrthogonalAxisScratch);
Cartesian3.abs(f, f);
if (f.x <= f.y) {
if (f.x <= f.z) {
result = Cartesian3.clone(Cartesian3.UNIT_X, result);
} else {
result = Cartesian3.clone(Cartesian3.UNIT_Z, result);
}
} else if (f.y <= f.z) {
result = Cartesian3.clone(Cartesian3.UNIT_Y, result);
} else {
result = Cartesian3.clone(Cartesian3.UNIT_Z, result);
}
return result;
};
/**
* Projects vector a onto vector b
* @param {Cartesian3} a The vector that needs projecting
* @param {Cartesian3} b The vector to project onto
* @param {Cartesian3} result The result cartesian
* @returns {Cartesian3} The modified result parameter
*/
Cartesian3.projectVector = function(a, b, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.defined('a', a);
Check.Check.defined('b', b);
Check.Check.defined('result', result);
//>>includeEnd('debug');
var scalar = Cartesian3.dot(a, b) / Cartesian3.dot(b, b);
return Cartesian3.multiplyByScalar(b, scalar, result);
};
/**
* Compares the provided Cartesians componentwise and returns
* <code>true</code> if they are equal, <code>false</code> otherwise.
*
* @param {Cartesian3} [left] The first Cartesian.
* @param {Cartesian3} [right] The second Cartesian.
* @returns {Boolean} <code>true</code> if left and right are equal, <code>false</code> otherwise.
*/
Cartesian3.equals = function(left, right) {
return (left === right) ||
((when.defined(left)) &&
(when.defined(right)) &&
(left.x === right.x) &&
(left.y === right.y) &&
(left.z === right.z));
};
/**
* @private
*/
Cartesian3.equalsArray = function(cartesian, array, offset) {
return cartesian.x === array[offset] &&
cartesian.y === array[offset + 1] &&
cartesian.z === array[offset + 2];
};
/**
* Compares the provided Cartesians componentwise and returns
* <code>true</code> if they pass an absolute or relative tolerance test,
* <code>false</code> otherwise.
*
* @param {Cartesian3} [left] The first Cartesian.
* @param {Cartesian3} [right] The second Cartesian.
* @param {Number} relativeEpsilon The relative epsilon tolerance to use for equality testing.
* @param {Number} [absoluteEpsilon=relativeEpsilon] The absolute epsilon tolerance to use for equality testing.
* @returns {Boolean} <code>true</code> if left and right are within the provided epsilon, <code>false</code> otherwise.
*/
Cartesian3.equalsEpsilon = function(left, right, relativeEpsilon, absoluteEpsilon) {
return (left === right) ||
(when.defined(left) &&
when.defined(right) &&
_Math.CesiumMath.equalsEpsilon(left.x, right.x, relativeEpsilon, absoluteEpsilon) &&
_Math.CesiumMath.equalsEpsilon(left.y, right.y, relativeEpsilon, absoluteEpsilon) &&
_Math.CesiumMath.equalsEpsilon(left.z, right.z, relativeEpsilon, absoluteEpsilon));
};
/**
* Computes the cross (outer) product of two Cartesians.
*
* @param {Cartesian3} left The first Cartesian.
* @param {Cartesian3} right The second Cartesian.
* @param {Cartesian3} result The object onto which to store the result.
* @returns {Cartesian3} The cross product.
*/
Cartesian3.cross = function(left, right, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('left', left);
Check.Check.typeOf.object('right', right);
Check.Check.typeOf.object('result', result);
//>>includeEnd('debug');
var leftX = left.x;
var leftY = left.y;
var leftZ = left.z;
var rightX = right.x;
var rightY = right.y;
var rightZ = right.z;
var x = leftY * rightZ - leftZ * rightY;
var y = leftZ * rightX - leftX * rightZ;
var z = leftX * rightY - leftY * rightX;
result.x = x;
result.y = y;
result.z = z;
return result;
};
/**
* Computes the midpoint between the right and left Cartesian.
* @param {Cartesian3} left The first Cartesian.
* @param {Cartesian3} right The second Cartesian.
* @param {Cartesian3} result The object onto which to store the result.
* @returns {Cartesian3} The midpoint.
*/
Cartesian3.midpoint = function(left, right, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.object('left', left);
Check.Check.typeOf.object('right', right);
Check.Check.typeOf.object('result', result);
//>>includeEnd('debug');
result.x = (left.x + right.x) * 0.5;
result.y = (left.y + right.y) * 0.5;
result.z = (left.z + right.z) * 0.5;
return result;
};
/**
* Returns a Cartesian3 position from longitude and latitude values given in degrees.
*
* @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 {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid on which the position lies.
* @param {Cartesian3} [result] The object onto which to store the result.
* @returns {Cartesian3} The position
*
* @example
* var position = Cesium.Cartesian3.fromDegrees(-115.0, 37.0);
*/
Cartesian3.fromDegrees = function(longitude, latitude, height, ellipsoid, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.number('longitude', longitude);
Check.Check.typeOf.number('latitude', latitude);
//>>includeEnd('debug');
longitude = _Math.CesiumMath.toRadians(longitude);
latitude = _Math.CesiumMath.toRadians(latitude);
return Cartesian3.fromRadians(longitude, latitude, height, ellipsoid, result);
};
var scratchN = new Cartesian3();
var scratchK = new Cartesian3();
var wgs84RadiiSquared = new Cartesian3(6378137.0 * 6378137.0, 6378137.0 * 6378137.0, 6356752.3142451793 * 6356752.3142451793);
var wgs84RadiiSquaredEx = new Cartesian3(6378137.0 * 6378137.0, 6378137.0 * 6378137.0, 6378137 * 6378137);
/**
* Returns a Cartesian3 position from longitude and latitude values given 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 {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid on which the position lies.
* @param {Cartesian3} [result] The object onto which to store the result.
* @returns {Cartesian3} The position
*
* @example
* var position = Cesium.Cartesian3.fromRadians(-2.007, 0.645);
*/
Cartesian3.fromRadians = function(longitude, latitude, height, ellipsoid, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.number('longitude', longitude);
Check.Check.typeOf.number('latitude', latitude);
//>>includeEnd('debug');
height = when.defaultValue(height, 0.0);
var radiiSquared = when.defined(ellipsoid) ? ellipsoid.radiiSquared : wgs84RadiiSquaredEx;
if(_Math.CesiumMath.equalsEpsilon(_Math.CesiumMath.Radius, 6356752.3142451793, _Math.CesiumMath.EPSILON10))
{
radiiSquared = when.defined(ellipsoid) ? ellipsoid.radiiSquared : wgs84RadiiSquared;
}
var cosLatitude = Math.cos(latitude);
scratchN.x = cosLatitude * Math.cos(longitude);
scratchN.y = cosLatitude * Math.sin(longitude);
scratchN.z = Math.sin(latitude);
scratchN = Cartesian3.normalize(scratchN, scratchN);
Cartesian3.multiplyComponents(radiiSquared, scratchN, scratchK);
var gamma = Math.sqrt(Cartesian3.dot(scratchN, scratchK));
scratchK = Cartesian3.divideByScalar(scratchK, gamma, scratchK);
scratchN = Cartesian3.multiplyByScalar(scratchN, height, scratchN);
if (!when.defined(result)) {
result = new Cartesian3();
}
return Cartesian3.add(scratchK, scratchN, result);
};
/**
* Returns an array of Cartesian3 positions given an array of longitude and latitude values given in degrees.
*
* @param {Number[]} coordinates A list of longitude and latitude values. Values alternate [longitude, latitude, longitude, latitude...].
* @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid on which the coordinates lie.
* @param {Cartesian3[]} [result] An array of Cartesian3 objects to store the result.
* @returns {Cartesian3[]} The array of positions.
*
* @example
* var positions = Cesium.Cartesian3.fromDegreesArray([-115.0, 37.0, -107.0, 33.0]);
*/
Cartesian3.fromDegreesArray = function(coordinates, ellipsoid, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.defined('coordinates', coordinates);
if (coordinates.length < 2 || coordinates.length % 2 !== 0) {
throw new Check.DeveloperError('the number of coordinates must be a multiple of 2 and at least 2');
}
//>>includeEnd('debug');
var length = coordinates.length;
if (!when.defined(result)) {
result = new Array(length / 2);
} else {
result.length = length / 2;
}
for (var i = 0; i < length; i += 2) {
var longitude = coordinates[i];
var latitude = coordinates[i + 1];
var index = i / 2;
result[index] = Cartesian3.fromDegrees(longitude, latitude, 0, ellipsoid, result[index]);
}
return result;
};
/**
* Returns an array of Cartesian3 positions given an array of longitude and latitude values given in radians.
*
* @param {Number[]} coordinates A list of longitude and latitude values. Values alternate [longitude, latitude, longitude, latitude...].
* @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid on which the coordinates lie.
* @param {Cartesian3[]} [result] An array of Cartesian3 objects to store the result.
* @returns {Cartesian3[]} The array of positions.
*
* @example
* var positions = Cesium.Cartesian3.fromRadiansArray([-2.007, 0.645, -1.867, .575]);
*/
Cartesian3.fromRadiansArray = function(coordinates, ellipsoid, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.defined('coordinates', coordinates);
if (coordinates.length < 2 || coordinates.length % 2 !== 0) {
throw new Check.DeveloperError('the number of coordinates must be a multiple of 2 and at least 2');
}
//>>includeEnd('debug');
var length = coordinates.length;
if (!when.defined(result)) {
result = new Array(length / 2);
} else {
result.length = length / 2;
}
for (var i = 0; i < length; i += 2) {
var longitude = coordinates[i];
var latitude = coordinates[i + 1];
var index = i / 2;
result[index] = Cartesian3.fromRadians(longitude, latitude, 0, ellipsoid, result[index]);
}
return result;
};
/**
* Returns an array of Cartesian3 positions given an array of longitude, latitude and height values where longitude and latitude are given in degrees.
*
* @param {Number[]} coordinates A list of longitude, latitude and height values. Values alternate [longitude, latitude, height, longitude, latitude, height...].
* @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid on which the position lies.
* @param {Cartesian3[]} [result] An array of Cartesian3 objects to store the result.
* @returns {Cartesian3[]} The array of positions.
*
* @example
* var positions = Cesium.Cartesian3.fromDegreesArrayHeights([-115.0, 37.0, 100000.0, -107.0, 33.0, 150000.0]);
*/
Cartesian3.fromDegreesArrayHeights = function(coordinates, ellipsoid, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.defined('coordinates', coordinates);
if (coordinates.length < 3 || coordinates.length % 3 !== 0) {
throw new Check.DeveloperError('the number of coordinates must be a multiple of 3 and at least 3');
}
//>>includeEnd('debug');
var length = coordinates.length;
if (!when.defined(result)) {
result = new Array(length / 3);
} else {
result.length = length / 3;
}
for (var i = 0; i < length; i += 3) {
var longitude = coordinates[i];
var latitude = coordinates[i + 1];
var height = coordinates[i + 2];
var index = i / 3;
result[index] = Cartesian3.fromDegrees(longitude, latitude, height, ellipsoid, result[index]);
}
return result;
};
/**
* Returns an array of Cartesian3 positions given an array of longitude, latitude and height values where longitude and latitude are given in radians.
*
* @param {Number[]} coordinates A list of longitude, latitude and height values. Values alternate [longitude, latitude, height, longitude, latitude, height...].
* @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid on which the position lies.
* @param {Cartesian3[]} [result] An array of Cartesian3 objects to store the result.
* @returns {Cartesian3[]} The array of positions.
*
* @example
* var positions = Cesium.Cartesian3.fromRadiansArrayHeights([-2.007, 0.645, 100000.0, -1.867, .575, 150000.0]);
*/
Cartesian3.fromRadiansArrayHeights = function(coordinates, ellipsoid, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.defined('coordinates', coordinates);
if (coordinates.length < 3 || coordinates.length % 3 !== 0) {
throw new Check.DeveloperError('the number of coordinates must be a multiple of 3 and at least 3');
}
//>>includeEnd('debug');
var length = coordinates.length;
if (!when.defined(result)) {
result = new Array(length / 3);
} else {
result.length = length / 3;
}
for (var i = 0; i < length; i += 3) {
var longitude = coordinates[i];
var latitude = coordinates[i + 1];
var height = coordinates[i + 2];
var index = i / 3;
result[index] = Cartesian3.fromRadians(longitude, latitude, height, ellipsoid, result[index]);
}
return result;
};
/**
* An immutable Cartesian3 instance initialized to (0.0, 0.0, 0.0).
*
* @type {Cartesian3}
* @constant
*/
Cartesian3.ZERO = Object.freeze(new Cartesian3(0.0, 0.0, 0.0));
/**
* An immutable Cartesian3 instance initialized to (1.0, 0.0, 0.0).
*
* @type {Cartesian3}
* @constant
*/
Cartesian3.UNIT_X = Object.freeze(new Cartesian3(1.0, 0.0, 0.0));
/**
* An immutable Cartesian3 instance initialized to (0.0, 1.0, 0.0).
*
* @type {Cartesian3}
* @constant
*/
Cartesian3.UNIT_Y = Object.freeze(new Cartesian3(0.0, 1.0, 0.0));
/**
* An immutable Cartesian3 instance initialized to (0.0, 0.0, 1.0).
*
* @type {Cartesian3}
* @constant
*/
Cartesian3.UNIT_Z = Object.freeze(new Cartesian3(0.0, 0.0, 1.0));
/**
* An immutable Cartesian3 instance initialized to (1.0, 1.0, 1.0).
*
* @type {Cartesian3}
* @constant
*/
Cartesian3.UNIT_XYZ = Object.freeze(new Cartesian3(1.0, 1.0, 1.0));
/**
* Duplicates this Cartesian3 instance.
*
* @param {Cartesian3} [result] The object onto which to store the result.
* @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if one was not provided.
*/
Cartesian3.prototype.clone = function(result) {
return Cartesian3.clone(this, result);
};
/**
* Compares this Cartesian against the provided Cartesian componentwise and returns
* <code>true</code> if they are equal, <code>false</code> otherwise.
*
* @param {Cartesian3} [right] The right hand side Cartesian.
* @returns {Boolean} <code>true</code> if they are equal, <code>false</code> otherwise.
*/
Cartesian3.prototype.equals = function(right) {
return Cartesian3.equals(this, right);
};
/**
* Compares this Cartesian against the provided Cartesian componentwise and returns
* <code>true</code> if they pass an absolute or relative tolerance test,
* <code>false</code> otherwise.
*
* @param {Cartesian3} [right] The right hand side Cartesian.
* @param {Number} relativeEpsilon The relative epsilon tolerance to use for equality testing.
* @param {Number} [absoluteEpsilon=relativeEpsilon] The absolute epsilon tolerance to use for equality testing.
* @returns {Boolean} <code>true</code> if they are within the provided epsilon, <code>false</code> otherwise.
*/
Cartesian3.prototype.equalsEpsilon = function(right, relativeEpsilon, absoluteEpsilon) {
return Cartesian3.equalsEpsilon(this, right, relativeEpsilon, absoluteEpsilon);
};
/**
* Creates a string representing this Cartesian in the format '(x, y, z)'.
*
* @returns {String} A string representing this Cartesian in the format '(x, y, z)'.
*/
Cartesian3.prototype.toString = function() {
return '(' + this.x + ', ' + this.y + ', ' + this.z + ')';
};
var scaleToGeodeticSurfaceIntersection = new Cartesian3();
var scaleToGeodeticSurfaceGradient = new Cartesian3();
/**
* 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} oneOverRadii One over radii of the ellipsoid.
* @param {Cartesian3} oneOverRadiiSquared One over radii squared of the ellipsoid.
* @param {Number} centerToleranceSquared Tolerance for closeness to the center.
* @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.
*
* @exports scaleToGeodeticSurface
*
* @private
*/
function scaleToGeodeticSurface(cartesian, oneOverRadii, oneOverRadiiSquared, centerToleranceSquared, result) {
//>>includeStart('debug', pragmas.debug);
if (!when.defined(cartesian)) {
throw new Check.DeveloperError('cartesian is required.');
}
if (!when.defined(oneOverRadii)) {
throw new Check.DeveloperError('oneOverRadii is required.');
}
if (!when.defined(oneOverRadiiSquared)) {
throw new Check.DeveloperError('oneOverRadiiSquared is required.');
}
if (!when.defined(centerToleranceSquared)) {
throw new Check.DeveloperError('centerToleranceSquared is required.');
}
//>>includeEnd('debug');
var positionX = cartesian.x;
var positionY = cartesian.y;
var positionZ = cartesian.z;
var oneOverRadiiX = oneOverRadii.x;
var oneOverRadiiY = oneOverRadii.y;
var oneOverRadiiZ = oneOverRadii.z;
var x2 = positionX * positionX * oneOverRadiiX * oneOverRadiiX;
var y2 = positionY * positionY * oneOverRadiiY * oneOverRadiiY;
var z2 = positionZ * positionZ * oneOverRadiiZ * oneOverRadiiZ;
// Compute the squared ellipsoid norm.
var squaredNorm = x2 + y2 + z2;
var ratio = Math.sqrt(1.0 / squaredNorm);
// As an initial approximation, assume that the radial intersection is the projection point.
var intersection = Cartesian3.multiplyByScalar(cartesian, ratio, scaleToGeodeticSurfaceIntersection);
// If the position is near the center, the iteration will not converge.
if (squaredNorm < centerToleranceSquared) {
return !isFinite(ratio) ? undefined : Cartesian3.clone(intersection, result);
}
var oneOverRadiiSquaredX = oneOverRadiiSquared.x;
var oneOverRadiiSquaredY = oneOverRadiiSquared.y;
var oneOverRadiiSquaredZ = oneOverRadiiSquared.z;
// Use the gradient at the intersection point in place of the true unit normal.
// The difference in magnitude will be absorbed in the multiplier.
var gradient = scaleToGeodeticSurfaceGradient;
gradient.x = intersection.x * oneOverRadiiSquaredX * 2.0;
gradient.y = intersection.y * oneOverRadiiSquaredY * 2.0;
gradient.z = intersection.z * oneOverRadiiSquaredZ * 2.0;
// Compute the initial guess at the normal vector multiplier, lambda.
var lambda = (1.0 - ratio) * Cartesian3.magnitude(cartesian) / (0.5 * Cartesian3.magnitude(gradient));
var correction = 0.0;
var func;
var denominator;
var xMultiplier;
var yMultiplier;
var zMultiplier;
var xMultiplier2;
var yMultiplier2;
var zMultiplier2;
var xMultiplier3;
var yMultiplier3;
var zMultiplier3;
do {
lambda -= correction;
xMultiplier = 1.0 / (1.0 + lambda * oneOverRadiiSquaredX);
yMultiplier = 1.0 / (1.0 + lambda * oneOverRadiiSquaredY);
zMultiplier = 1.0 / (1.0 + 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 - 1.0;
// "denominator" here refers to the use of this expression in the velocity and acceleration
// computations in the sections to follow.
denominator = x2 * xMultiplier3 * oneOverRadiiSquaredX + y2 * yMultiplier3 * oneOverRadiiSquaredY + z2 * zMultiplier3 * oneOverRadiiSquaredZ;
var derivative = -2.0 * denominator;
correction = func / derivative;
} while (Math.abs(func) > _Math.CesiumMath.EPSILON12);
if (!when.defined(result)) {
return new Cartesian3(positionX * xMultiplier, positionY * yMultiplier, positionZ * zMultiplier);
}
result.x = positionX * xMultiplier;
result.y = positionY * yMultiplier;
result.z = positionZ * zMultiplier;
return result;
}
/**
* A position defined by longitude, latitude, and height.
* @alias Cartographic
* @constructor
*
* @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.
*
* @see Ellipsoid
*/
function Cartographic(longitude, latitude, height) {
/**
* The longitude, in radians.
* @type {Number}
* @default 0.0
*/
this.longitude = when.defaultValue(longitude, 0.0);
/**
* The latitude, in radians.
* @type {Number}
* @default 0.0
*/
this.latitude = when.defaultValue(latitude, 0.0);
/**
* The height, in meters, above the ellipsoid.
* @type {Number}
* @default 0.0
*/
this.height = when.defaultValue(height, 0.0);
}
/**
* 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.
*/
Cartographic.fromRadians = function(longitude, latitude, height, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.number('longitude', longitude);
Check.Check.typeOf.number('latitude', latitude);
//>>includeEnd('debug');
height = when.defaultValue(height, 0.0);
if (!when.defined(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.
*/
Cartographic.fromDegrees = function(longitude, latitude, height, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.number('longitude', longitude);
Check.Check.typeOf.number('latitude', latitude);
//>>includeEnd('debug');
longitude = _Math.CesiumMath.toRadians(longitude);
latitude = _Math.CesiumMath.toRadians(latitude);
return Cartographic.fromRadians(longitude, latitude, height, result);
};
var cartesianToCartographicN = new Cartesian3();
var cartesianToCartographicP = new Cartesian3();
var cartesianToCartographicH = new Cartesian3();
var wgs84OneOverRadii = new Cartesian3(1.0 / 6378137.0, 1.0 / 6378137.0, 1.0 / 6356752.3142451793);
var wgs84OneOverRadiiEx = new Cartesian3(1.0 / 6378137.0, 1.0 / 6378137.0, 1.0 / 6378137.0);
var wgs84OneOverRadiiSquared = new Cartesian3(1.0 / (6378137.0 * 6378137.0), 1.0 / (6378137.0 * 6378137.0), 1.0 / (6356752.3142451793 * 6356752.3142451793));
var wgs84OneOverRadiiSquaredEx = new Cartesian3(1.0 / (6378137.0 * 6378137.0), 1.0 / (6378137.0 * 6378137.0), 1.0 / (6378137.0 * 6378137.0));
var wgs84CenterToleranceSquared = _Math.CesiumMath.EPSILON1;
/**
* 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.WGS84] 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.
*/
Cartographic.fromCartesian = function(cartesian, ellipsoid, result) {
var oneOverRadii = when.defined(ellipsoid) ? ellipsoid.oneOverRadii : wgs84OneOverRadiiEx;
var oneOverRadiiSquared = when.defined(ellipsoid) ? ellipsoid.oneOverRadiiSquared : wgs84OneOverRadiiSquaredEx;
var centerToleranceSquared = when.defined(ellipsoid) ? ellipsoid._centerToleranceSquared : wgs84CenterToleranceSquared;
if(_Math.CesiumMath.equalsEpsilon(_Math.CesiumMath.Radius, 6356752.3142451793, _Math.CesiumMath.EPSILON10)) {
oneOverRadii = when.defined(ellipsoid) ? ellipsoid.oneOverRadii : wgs84OneOverRadii;
oneOverRadiiSquared = when.defined(ellipsoid) ? ellipsoid.oneOverRadiiSquared : wgs84OneOverRadiiSquared;
}
//`cartesian is required.` is thrown from scaleToGeodeticSurface
var p = scaleToGeodeticSurface(cartesian, oneOverRadii, oneOverRadiiSquared, centerToleranceSquared, cartesianToCartographicP);
if (!when.defined(p)) {
return undefined;
}
var n = Cartesian3.multiplyComponents(p, oneOverRadiiSquared, cartesianToCartographicN);
n = Cartesian3.normalize(n, n);
var h = Cartesian3.subtract(cartesian, p, cartesianToCartographicH);
var longitude = Math.atan2(n.y, n.x);
var latitude = Math.asin(n.z);
var height = _Math.CesiumMath.sign(Cartesian3.dot(h, cartesian)) * Cartesian3.magnitude(h);
if (!when.defined(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.WGS84] The ellipsoid on which the position lies.
* @param {Cartesian3} [result] The object onto which to store the result.
* @returns {Cartesian3} The position
*/
Cartographic.toCartesian = function(cartographic, ellipsoid, result) {
//>>includeStart('debug', pragmas.debug);
Check.Check.defined('cartographic', cartographic);
//>>includeEnd('debug');
return Cartesian3.fromRadians(cartographic.longitude, cartographic.latitude, cartographic.height, ellipsoid, result);
};
/**
* Computes the distance between two points by global
*
* @param {Number} longitudeA The longitude, in degrees.
* @param {Number} latitudeA The latitude, in degrees.
* @param {Number} longitudeB The longitude, in degrees.
* @param {Number} latitudeB The latitude, in degrees.
*/
Cartographic.sphericalDistance = function(longitudeA, latitudeA, longitudeB, latitudeB) {
Check.Check.defined('longitudeA', longitudeA);
Check.Check.defined('longitudeB', longitudeB);
Check.Check.defined('latitudeA', latitudeA);
Check.Check.defined('latitudeB', latitudeB);
if(longitudeA === longitudeB && latitudeA === latitudeB){
return 0.0;
}
var latA = _Math.CesiumMath.toRadians(latitudeA);
var latB = _Math.CesiumMath.toRadians(latitudeB);
var lonA = _Math.CesiumMath.toRadians(longitudeA);
var lonB = _Math.CesiumMath.toRadians(longitudeB);
var a2 = lonA * lonA + latA * latA;
var b2 = lonB * lonB + latB * latB;
var c2 = (lonA - lonB) * (lonA - lonB) + (latA - latB) * (latA - latB);
var dacos = (a2 + b2 - c2) / (2.0 * Math.sqrt(a2) * Math.sqrt(b2));
dacos = _Math.CesiumMath.clamp(dacos, -1.0, 1.0);
return Math.acos(dacos) * _Math.CesiumMath.Radius;
};
/**
* 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)
*/
Cartographic.clone = function(cartographic, result) {
if (!when.defined(cartographic)) {
return undefined;
}
if (!when.defined(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
* <code>true</code> if they are equal, <code>false</code> otherwise.
*
* @param {Cartographic} [left] The first cartographic.
* @param {Cartographic} [right] The second cartographic.
* @returns {Boolean} <code>true</code> if left and right are equal, <code>false</code> otherwise.
*/
Cartographic.equals = function(left, right) {
return (left === right) ||
((when.defined(left)) &&
(when.defined(right)) &&
(left.longitude === right.longitude) &&
(left.latitude === right.latitude) &&
(left.height === right.height));
};
/**
* Compares the provided cartographics componentwise and returns
* <code>true</code> if they are within the provided epsilon,
* <code>false</code> otherwise.
*
* @param {Cartographic} [left] The first cartographic.
* @param {Cartographic} [right] The second cartographic.
* @param {Number} epsilon The epsilon to use for equality testing.
* @returns {Boolean} <code>true</code> if left and right are within the provided epsilon, <code>false</code> otherwise.
*/
Cartographic.equalsEpsilon = function(left, right, epsilon) {
//>>includeStart('debug', pragmas.debug);
Check.Check.typeOf.number('epsilon', epsilon);
//>>includeEnd('debug');
return (left === right) ||
((when.defined(left)) &&
(when.defined(right)) &&
(Math.abs(left.longitude - right.longitude) <= epsilon) &&
(Math.abs(left.latitude - right.latitude) <= epsilon) &&
(Math.abs(left.height - right.height) <= epsilon));
};
/**
* An immutable Cartographic instance initialized to (0.0, 0.0, 0.0).
*
* @type {Cartographic}
* @constant
*/
Cartographic.ZERO = Object.freeze(new Cartographic(0.0, 0.0, 0.0));
/**
* 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.
*/
Cartographic.prototype.clone = function(result) {
return Cartographic.clone(this, result);
};
/**
* Compares the provided against this cartographic componentwise and returns
* <code>true</code> if they are equal, <code>false</code> otherwise.
*
* @param {Cartographic} [right] The second cartographic.
* @returns {Boolean} <code>true</code> if left and right are equal, <code>false</code> otherwise.
*/
Cartographic.prototype.equals = function(right) {
return Cartographic.equals(this, right);
};
/**
* Compares the provided against this cartographic componentwise and returns
* <code>true</code> if they are within the provided epsilon,
* <code>false</code> otherwise.
*
* @param {Cartographic} [right] The second cartographic.
* @param {Number} epsilon The epsilon to use for equality testing.
* @returns {Boolean} <code>true</code> if left and right are within the provided epsilon, <code>false</code> otherwise.
*/
Cartographic.prototype.equalsEpsilon = function(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)'.
*/
Cartographic.prototype.toString = function() {
return '(' + this.longitude + ', ' + this.latitude + ', ' + this.height + ')';
};
exports.Cartesian3 = Cartesian3;
exports.Cartographic = Cartographic;
exports.scaleToGeodeticSurface = scaleToGeodeticSurface;
});
