/
Rectangle.js
703 lines (618 loc) · 24.8 KB
/
Rectangle.js
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/*global define*/
define([
'./Cartographic',
'./defaultValue',
'./defined',
'./defineProperties',
'./DeveloperError',
'./Ellipsoid',
'./freezeObject',
'./Math'
], function(
Cartographic,
defaultValue,
defined,
defineProperties,
DeveloperError,
Ellipsoid,
freezeObject,
CesiumMath) {
"use strict";
/**
* A two dimensional region specified as longitude and latitude coordinates.
*
* @alias Rectangle
* @constructor
*
* @param {Number} [west=0.0] The westernmost longitude, in radians, in the range [-Pi, Pi].
* @param {Number} [south=0.0] The southernmost latitude, in radians, in the range [-Pi/2, Pi/2].
* @param {Number} [east=0.0] The easternmost longitude, in radians, in the range [-Pi, Pi].
* @param {Number} [north=0.0] The northernmost latitude, in radians, in the range [-Pi/2, Pi/2].
*
* @see Packable
*/
var Rectangle = function(west, south, east, north) {
/**
* The westernmost longitude in radians in the range [-Pi, Pi].
*
* @type {Number}
* @default 0.0
*/
this.west = defaultValue(west, 0.0);
/**
* The southernmost latitude in radians in the range [-Pi/2, Pi/2].
*
* @type {Number}
* @default 0.0
*/
this.south = defaultValue(south, 0.0);
/**
* The easternmost longitude in radians in the range [-Pi, Pi].
*
* @type {Number}
* @default 0.0
*/
this.east = defaultValue(east, 0.0);
/**
* The northernmost latitude in radians in the range [-Pi/2, Pi/2].
*
* @type {Number}
* @default 0.0
*/
this.north = defaultValue(north, 0.0);
};
defineProperties(Rectangle.prototype, {
/**
* Gets the width of the rectangle in radians.
* @memberof Rectangle.prototype
* @type {Number}
*/
width : {
get : function() {
return Rectangle.computeWidth(this);
}
},
/**
* Gets the height of the rectangle in radians.
* @memberof Rectangle.prototype
* @type {Number}
*/
height : {
get : function() {
return Rectangle.computeHeight(this);
}
}
});
/**
* The number of elements used to pack the object into an array.
* @type {Number}
*/
Rectangle.packedLength = 4;
/**
* Stores the provided instance into the provided array.
*
* @param {Rectangle} 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.
*/
Rectangle.pack = function(value, array, startingIndex) {
//>>includeStart('debug', pragmas.debug);
if (!defined(value)) {
throw new DeveloperError('value is required');
}
if (!defined(array)) {
throw new DeveloperError('array is required');
}
//>>includeEnd('debug');
startingIndex = defaultValue(startingIndex, 0);
array[startingIndex++] = value.west;
array[startingIndex++] = value.south;
array[startingIndex++] = value.east;
array[startingIndex] = value.north;
};
/**
* 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 {Rectangle} [result] The object into which to store the result.
*/
Rectangle.unpack = function(array, startingIndex, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(array)) {
throw new DeveloperError('array is required');
}
//>>includeEnd('debug');
startingIndex = defaultValue(startingIndex, 0);
if (!defined(result)) {
result = new Rectangle();
}
result.west = array[startingIndex++];
result.south = array[startingIndex++];
result.east = array[startingIndex++];
result.north = array[startingIndex];
return result;
};
/**
* Computes the width of a rectangle in radians.
* @param {Rectangle} rectangle The rectangle to compute the width of.
* @returns {Number} The width.
*/
Rectangle.computeWidth = function(rectangle) {
//>>includeStart('debug', pragmas.debug);
if (!defined(rectangle)) {
throw new DeveloperError('rectangle is required.');
}
//>>includeEnd('debug');
var east = rectangle.east;
var west = rectangle.west;
if (east < west) {
east += CesiumMath.TWO_PI;
}
return east - west;
};
/**
* Computes the height of a rectangle in radians.
* @param {Rectangle} rectangle The rectangle to compute the height of.
* @returns {Number} The height.
*/
Rectangle.computeHeight = function(rectangle) {
//>>includeStart('debug', pragmas.debug);
if (!defined(rectangle)) {
throw new DeveloperError('rectangle is required.');
}
//>>includeEnd('debug');
return rectangle.north - rectangle.south;
};
/**
* Creates an rectangle given the boundary longitude and latitude in degrees.
*
* @param {Number} [west=0.0] The westernmost longitude in degrees in the range [-180.0, 180.0].
* @param {Number} [south=0.0] The southernmost latitude in degrees in the range [-90.0, 90.0].
* @param {Number} [east=0.0] The easternmost longitude in degrees in the range [-180.0, 180.0].
* @param {Number} [north=0.0] The northernmost latitude in degrees in the range [-90.0, 90.0].
* @param {Rectangle} [result] The object onto which to store the result, or undefined if a new instance should be created.
* @returns {Rectangle} The modified result parameter or a new Rectangle instance if none was provided.
*
* @example
* var rectangle = Cesium.Rectangle.fromDegrees(0.0, 20.0, 10.0, 30.0);
*/
Rectangle.fromDegrees = function(west, south, east, north, result) {
west = CesiumMath.toRadians(defaultValue(west, 0.0));
south = CesiumMath.toRadians(defaultValue(south, 0.0));
east = CesiumMath.toRadians(defaultValue(east, 0.0));
north = CesiumMath.toRadians(defaultValue(north, 0.0));
if (!defined(result)) {
return new Rectangle(west, south, east, north);
}
result.west = west;
result.south = south;
result.east = east;
result.north = north;
return result;
};
/**
* Creates the smallest possible Rectangle that encloses all positions in the provided array.
*
* @param {Cartographic[]} cartographics The list of Cartographic instances.
* @param {Rectangle} [result] The object onto which to store the result, or undefined if a new instance should be created.
* @returns {Rectangle} The modified result parameter or a new Rectangle instance if none was provided.
*/
Rectangle.fromCartographicArray = function(cartographics, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(cartographics)) {
throw new DeveloperError('cartographics is required.');
}
//>>includeEnd('debug');
var minLon = Number.MAX_VALUE;
var maxLon = -Number.MAX_VALUE;
var minLat = Number.MAX_VALUE;
var maxLat = -Number.MAX_VALUE;
for ( var i = 0, len = cartographics.length; i < len; i++) {
var position = cartographics[i];
minLon = Math.min(minLon, position.longitude);
maxLon = Math.max(maxLon, position.longitude);
minLat = Math.min(minLat, position.latitude);
maxLat = Math.max(maxLat, position.latitude);
}
if (!defined(result)) {
return new Rectangle(minLon, minLat, maxLon, maxLat);
}
result.west = minLon;
result.south = minLat;
result.east = maxLon;
result.north = maxLat;
return result;
};
/**
* Duplicates an Rectangle.
*
* @param {Rectangle} rectangle The rectangle to clone.
* @param {Rectangle} [result] The object onto which to store the result, or undefined if a new instance should be created.
* @returns {Rectangle} The modified result parameter or a new Rectangle instance if none was provided. (Returns undefined if rectangle is undefined)
*/
Rectangle.clone = function(rectangle, result) {
if (!defined(rectangle)) {
return undefined;
}
if (!defined(result)) {
return new Rectangle(rectangle.west, rectangle.south, rectangle.east, rectangle.north);
}
result.west = rectangle.west;
result.south = rectangle.south;
result.east = rectangle.east;
result.north = rectangle.north;
return result;
};
/**
* Duplicates this Rectangle.
*
* @param {Rectangle} [result] The object onto which to store the result.
* @returns {Rectangle} The modified result parameter or a new Rectangle instance if none was provided.
*/
Rectangle.prototype.clone = function(result) {
return Rectangle.clone(this, result);
};
/**
* Compares the provided Rectangle with this Rectangle componentwise and returns
* <code>true</code> if they are equal, <code>false</code> otherwise.
*
* @param {Rectangle} [other] The Rectangle to compare.
* @returns {Boolean} <code>true</code> if the Rectangles are equal, <code>false</code> otherwise.
*/
Rectangle.prototype.equals = function(other) {
return Rectangle.equals(this, other);
};
/**
* Compares the provided rectangles and returns <code>true</code> if they are equal,
* <code>false</code> otherwise.
*
* @param {Rectangle} [left] The first Rectangle.
* @param {Rectangle} [right] The second Rectangle.
* @returns {Boolean} <code>true</code> if left and right are equal; otherwise <code>false</code>.
*/
Rectangle.equals = function(left, right) {
return (left === right) ||
((defined(left)) &&
(defined(right)) &&
(left.west === right.west) &&
(left.south === right.south) &&
(left.east === right.east) &&
(left.north === right.north));
};
/**
* Compares the provided Rectangle with this Rectangle componentwise and returns
* <code>true</code> if they are within the provided epsilon,
* <code>false</code> otherwise.
*
* @param {Rectangle} [other] The Rectangle to compare.
* @param {Number} epsilon The epsilon to use for equality testing.
* @returns {Boolean} <code>true</code> if the Rectangles are within the provided epsilon, <code>false</code> otherwise.
*/
Rectangle.prototype.equalsEpsilon = function(other, epsilon) {
//>>includeStart('debug', pragmas.debug);
if (typeof epsilon !== 'number') {
throw new DeveloperError('epsilon is required and must be a number.');
}
//>>includeEnd('debug');
return defined(other) &&
(Math.abs(this.west - other.west) <= epsilon) &&
(Math.abs(this.south - other.south) <= epsilon) &&
(Math.abs(this.east - other.east) <= epsilon) &&
(Math.abs(this.north - other.north) <= epsilon);
};
/**
* Checks an Rectangle's properties and throws if they are not in valid ranges.
*
* @param {Rectangle} rectangle The rectangle to validate
*
* @exception {DeveloperError} <code>north</code> must be in the interval [<code>-Pi/2</code>, <code>Pi/2</code>].
* @exception {DeveloperError} <code>south</code> must be in the interval [<code>-Pi/2</code>, <code>Pi/2</code>].
* @exception {DeveloperError} <code>east</code> must be in the interval [<code>-Pi</code>, <code>Pi</code>].
* @exception {DeveloperError} <code>west</code> must be in the interval [<code>-Pi</code>, <code>Pi</code>].
*/
Rectangle.validate = function(rectangle) {
//>>includeStart('debug', pragmas.debug);
if (!defined(rectangle)) {
throw new DeveloperError('rectangle is required');
}
var north = rectangle.north;
if (typeof north !== 'number') {
throw new DeveloperError('north is required to be a number.');
}
if (north < -CesiumMath.PI_OVER_TWO || north > CesiumMath.PI_OVER_TWO) {
throw new DeveloperError('north must be in the interval [-Pi/2, Pi/2].');
}
var south = rectangle.south;
if (typeof south !== 'number') {
throw new DeveloperError('south is required to be a number.');
}
if (south < -CesiumMath.PI_OVER_TWO || south > CesiumMath.PI_OVER_TWO) {
throw new DeveloperError('south must be in the interval [-Pi/2, Pi/2].');
}
var west = rectangle.west;
if (typeof west !== 'number') {
throw new DeveloperError('west is required to be a number.');
}
if (west < -Math.PI || west > Math.PI) {
throw new DeveloperError('west must be in the interval [-Pi, Pi].');
}
var east = rectangle.east;
if (typeof east !== 'number') {
throw new DeveloperError('east is required to be a number.');
}
if (east < -Math.PI || east > Math.PI) {
throw new DeveloperError('east must be in the interval [-Pi, Pi].');
}
//>>includeEnd('debug');
};
/**
* Computes the southwest corner of an rectangle.
*
* @param {Rectangle} rectangle The rectangle for which to find the corner
* @param {Cartographic} [result] The object onto which to store the result.
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if none was provided.
*/
Rectangle.southwest = function(rectangle, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(rectangle)) {
throw new DeveloperError('rectangle is required');
}
//>>includeEnd('debug');
if (!defined(result)) {
return new Cartographic(rectangle.west, rectangle.south);
}
result.longitude = rectangle.west;
result.latitude = rectangle.south;
result.height = 0.0;
return result;
};
/**
* Computes the northwest corner of an rectangle.
*
* @param {Rectangle} rectangle The rectangle for which to find the corner
* @param {Cartographic} [result] The object onto which to store the result.
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if none was provided.
*/
Rectangle.northwest = function(rectangle, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(rectangle)) {
throw new DeveloperError('rectangle is required');
}
//>>includeEnd('debug');
if (!defined(result)) {
return new Cartographic(rectangle.west, rectangle.north);
}
result.longitude = rectangle.west;
result.latitude = rectangle.north;
result.height = 0.0;
return result;
};
/**
* Computes the northeast corner of an rectangle.
*
* @param {Rectangle} rectangle The rectangle for which to find the corner
* @param {Cartographic} [result] The object onto which to store the result.
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if none was provided.
*/
Rectangle.northeast = function(rectangle, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(rectangle)) {
throw new DeveloperError('rectangle is required');
}
//>>includeEnd('debug');
if (!defined(result)) {
return new Cartographic(rectangle.east, rectangle.north);
}
result.longitude = rectangle.east;
result.latitude = rectangle.north;
result.height = 0.0;
return result;
};
/**
* Computes the southeast corner of an rectangle.
*
* @param {Rectangle} rectangle The rectangle for which to find the corner
* @param {Cartographic} [result] The object onto which to store the result.
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if none was provided.
*/
Rectangle.southeast = function(rectangle, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(rectangle)) {
throw new DeveloperError('rectangle is required');
}
//>>includeEnd('debug');
if (!defined(result)) {
return new Cartographic(rectangle.east, rectangle.south);
}
result.longitude = rectangle.east;
result.latitude = rectangle.south;
result.height = 0.0;
return result;
};
/**
* Computes the center of an rectangle.
*
* @param {Rectangle} rectangle The rectangle for which to find the center
* @param {Cartographic} [result] The object onto which to store the result.
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if none was provided.
*/
Rectangle.center = function(rectangle, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(rectangle)) {
throw new DeveloperError('rectangle is required');
}
//>>includeEnd('debug');
var east = rectangle.east;
var west = rectangle.west;
if (east < west) {
east += CesiumMath.TWO_PI;
}
var longitude = CesiumMath.negativePiToPi((west + east) * 0.5);
var latitude = (rectangle.south + rectangle.north) * 0.5;
if (!defined(result)) {
return new Cartographic(longitude, latitude);
}
result.longitude = longitude;
result.latitude = latitude;
result.height = 0.0;
return result;
};
/**
* Computes the intersection of two rectangles
*
* @param {Rectangle} rectangle On rectangle to find an intersection
* @param {Rectangle} otherRectangle Another rectangle to find an intersection
* @param {Rectangle} [result] The object onto which to store the result.
* @returns {Rectangle|undefined} The modified result parameter, a new Rectangle instance if none was provided or undefined if there is no intersection.
*/
Rectangle.intersection = function(rectangle, otherRectangle, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(rectangle)) {
throw new DeveloperError('rectangle is required');
}
if (!defined(otherRectangle)) {
throw new DeveloperError('otherRectangle is required.');
}
//>>includeEnd('debug');
var rectangleEast = rectangle.east;
var rectangleWest = rectangle.west;
var otherRectangleEast = otherRectangle.east;
var otherRectangleWest = otherRectangle.west;
if (rectangleEast < rectangleWest && otherRectangleEast > 0.0) {
rectangleEast += CesiumMath.TWO_PI;
} else if (otherRectangleEast < otherRectangleWest && rectangleEast > 0.0) {
otherRectangleEast += CesiumMath.TWO_PI;
}
if (rectangleEast < rectangleWest && otherRectangleWest < 0.0) {
otherRectangleWest += CesiumMath.TWO_PI;
} else if (otherRectangleEast < otherRectangleWest && rectangleWest < 0.0) {
rectangleWest += CesiumMath.TWO_PI;
}
var west = CesiumMath.negativePiToPi(Math.max(rectangleWest, otherRectangleWest));
var east = CesiumMath.negativePiToPi(Math.min(rectangleEast, otherRectangleEast));
if ((rectangle.west < rectangle.east || otherRectangle.west < otherRectangle.east) && east <= west) {
return undefined;
}
var south = Math.max(rectangle.south, otherRectangle.south);
var north = Math.min(rectangle.north, otherRectangle.north);
if (south >= north) {
return undefined;
}
if (!defined(result)) {
return new Rectangle(west, south, east, north);
}
result.west = west;
result.south = south;
result.east = east;
result.north = north;
return result;
};
/**
* Returns true if the cartographic is on or inside the rectangle, false otherwise.
*
* @param {Rectangle} rectangle The rectangle
* @param {Cartographic} cartographic The cartographic to test.
* @returns {Boolean} true if the provided cartographic is inside the rectangle, false otherwise.
*/
Rectangle.contains = function(rectangle, cartographic) {
//>>includeStart('debug', pragmas.debug);
if (!defined(rectangle)) {
throw new DeveloperError('rectangle is required');
}
if (!defined(cartographic)) {
throw new DeveloperError('cartographic is required.');
}
//>>includeEnd('debug');
var longitude = cartographic.longitude;
var latitude = cartographic.latitude;
var west = rectangle.west;
var east = rectangle.east;
if (east < west) {
east += CesiumMath.TWO_PI;
if (longitude < 0.0) {
longitude += CesiumMath.TWO_PI;
}
}
return (longitude > west || CesiumMath.equalsEpsilon(longitude, west, CesiumMath.EPSILON14)) &&
(longitude < east || CesiumMath.equalsEpsilon(longitude, east, CesiumMath.EPSILON14)) &&
latitude >= rectangle.south &&
latitude <= rectangle.north;
};
var subsampleLlaScratch = new Cartographic();
/**
* Samples an rectangle so that it includes a list of Cartesian points suitable for passing to
* {@link BoundingSphere#fromPoints}. Sampling is necessary to account
* for rectangles that cover the poles or cross the equator.
*
* @param {Rectangle} rectangle The rectangle to subsample.
* @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid to use.
* @param {Number} [surfaceHeight=0.0] The height of the rectangle above the ellipsoid.
* @param {Cartesian3[]} [result] The array of Cartesians onto which to store the result.
* @returns {Cartesian3[]} The modified result parameter or a new Array of Cartesians instances if none was provided.
*/
Rectangle.subsample = function(rectangle, ellipsoid, surfaceHeight, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(rectangle)) {
throw new DeveloperError('rectangle is required');
}
//>>includeEnd('debug');
ellipsoid = defaultValue(ellipsoid, Ellipsoid.WGS84);
surfaceHeight = defaultValue(surfaceHeight, 0.0);
if (!defined(result)) {
result = [];
}
var length = 0;
var north = rectangle.north;
var south = rectangle.south;
var east = rectangle.east;
var west = rectangle.west;
var lla = subsampleLlaScratch;
lla.height = surfaceHeight;
lla.longitude = west;
lla.latitude = north;
result[length] = ellipsoid.cartographicToCartesian(lla, result[length]);
length++;
lla.longitude = east;
result[length] = ellipsoid.cartographicToCartesian(lla, result[length]);
length++;
lla.latitude = south;
result[length] = ellipsoid.cartographicToCartesian(lla, result[length]);
length++;
lla.longitude = west;
result[length] = ellipsoid.cartographicToCartesian(lla, result[length]);
length++;
if (north < 0.0) {
lla.latitude = north;
} else if (south > 0.0) {
lla.latitude = south;
} else {
lla.latitude = 0.0;
}
for ( var i = 1; i < 8; ++i) {
lla.longitude = -Math.PI + i * CesiumMath.PI_OVER_TWO;
if (Rectangle.contains(rectangle, lla)) {
result[length] = ellipsoid.cartographicToCartesian(lla, result[length]);
length++;
}
}
if (lla.latitude === 0.0) {
lla.longitude = west;
result[length] = ellipsoid.cartographicToCartesian(lla, result[length]);
length++;
lla.longitude = east;
result[length] = ellipsoid.cartographicToCartesian(lla, result[length]);
length++;
}
result.length = length;
return result;
};
/**
* The largest possible rectangle.
*
* @type {Rectangle}
* @constant
*/
Rectangle.MAX_VALUE = freezeObject(new Rectangle(-Math.PI, -CesiumMath.PI_OVER_TWO, Math.PI, CesiumMath.PI_OVER_TWO));
return Rectangle;
});