import Cartographic from './Cartographic.js';
|
import Check from './Check.js';
|
import defaultValue from './defaultValue.js';
|
import defined from './defined.js';
|
import Ellipsoid from './Ellipsoid.js';
|
import CesiumMath from './Math.js';
|
|
/**
|
* 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
|
*/
|
function Rectangle(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);
|
}
|
|
Object.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.
|
*
|
* @returns {Number[]} The array that was packed into
|
*/
|
Rectangle.pack = function(value, array, startingIndex) {
|
//>>includeStart('debug', pragmas.debug);
|
Check.typeOf.object('value', value);
|
Check.defined('array', array);
|
//>>includeEnd('debug');
|
|
startingIndex = defaultValue(startingIndex, 0);
|
|
array[startingIndex++] = value.west;
|
array[startingIndex++] = value.south;
|
array[startingIndex++] = value.east;
|
array[startingIndex] = value.north;
|
|
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 {Rectangle} [result] The object into which to store the result.
|
* @returns {Rectangle} The modified result parameter or a new Rectangle instance if one was not provided.
|
*/
|
Rectangle.unpack = function(array, startingIndex, result) {
|
//>>includeStart('debug', pragmas.debug);
|
Check.defined('array', array);
|
//>>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);
|
Check.typeOf.object('rectangle', rectangle);
|
//>>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);
|
Check.typeOf.object('rectangle', rectangle);
|
//>>includeEnd('debug');
|
return rectangle.north - rectangle.south;
|
};
|
|
/**
|
* Creates a 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 a rectangle given the boundary longitude and latitude in radians.
|
*
|
* @param {Number} [west=0.0] The westernmost longitude in radians in the range [-Math.PI, Math.PI].
|
* @param {Number} [south=0.0] The southernmost latitude in radians in the range [-Math.PI/2, Math.PI/2].
|
* @param {Number} [east=0.0] The easternmost longitude in radians in the range [-Math.PI, Math.PI].
|
* @param {Number} [north=0.0] The northernmost latitude in radians in the range [-Math.PI/2, Math.PI/2].
|
* @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.fromRadians(0.0, Math.PI/4, Math.PI/8, 3*Math.PI/4);
|
*/
|
Rectangle.fromRadians = function(west, south, east, north, result) {
|
if (!defined(result)) {
|
return new Rectangle(west, south, east, north);
|
}
|
|
result.west = defaultValue(west, 0.0);
|
result.south = defaultValue(south, 0.0);
|
result.east = defaultValue(east, 0.0);
|
result.north = defaultValue(north, 0.0);
|
|
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);
|
Check.defined('cartographics', cartographics);
|
//>>includeEnd('debug');
|
|
var west = Number.MAX_VALUE;
|
var east = -Number.MAX_VALUE;
|
var westOverIDL = Number.MAX_VALUE;
|
var eastOverIDL = -Number.MAX_VALUE;
|
var south = Number.MAX_VALUE;
|
var north = -Number.MAX_VALUE;
|
|
for ( var i = 0, len = cartographics.length; i < len; i++) {
|
var position = cartographics[i];
|
west = Math.min(west, position.longitude);
|
east = Math.max(east, position.longitude);
|
south = Math.min(south, position.latitude);
|
north = Math.max(north, position.latitude);
|
|
var lonAdjusted = position.longitude >= 0 ? position.longitude : position.longitude + CesiumMath.TWO_PI;
|
westOverIDL = Math.min(westOverIDL, lonAdjusted);
|
eastOverIDL = Math.max(eastOverIDL, lonAdjusted);
|
}
|
|
if(east - west > eastOverIDL - westOverIDL) {
|
west = westOverIDL;
|
east = eastOverIDL;
|
|
if (east > CesiumMath.PI) {
|
east = east - CesiumMath.TWO_PI;
|
}
|
if (west > CesiumMath.PI) {
|
west = west - CesiumMath.TWO_PI;
|
}
|
}
|
|
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 {Cartesian3[]} cartesians The list of Cartesian instances.
|
* @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid the cartesians are on.
|
* @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.fromCartesianArray = function(cartesians, ellipsoid, result) {
|
//>>includeStart('debug', pragmas.debug);
|
Check.defined('cartesians', cartesians);
|
//>>includeEnd('debug');
|
ellipsoid = defaultValue(ellipsoid, Ellipsoid.WGS84);
|
|
var west = Number.MAX_VALUE;
|
var east = -Number.MAX_VALUE;
|
var westOverIDL = Number.MAX_VALUE;
|
var eastOverIDL = -Number.MAX_VALUE;
|
var south = Number.MAX_VALUE;
|
var north = -Number.MAX_VALUE;
|
|
for ( var i = 0, len = cartesians.length; i < len; i++) {
|
var position = ellipsoid.cartesianToCartographic(cartesians[i]);
|
west = Math.min(west, position.longitude);
|
east = Math.max(east, position.longitude);
|
south = Math.min(south, position.latitude);
|
north = Math.max(north, position.latitude);
|
|
var lonAdjusted = position.longitude >= 0 ? position.longitude : position.longitude + CesiumMath.TWO_PI;
|
westOverIDL = Math.min(westOverIDL, lonAdjusted);
|
eastOverIDL = Math.max(eastOverIDL, lonAdjusted);
|
}
|
|
if(east - west > eastOverIDL - westOverIDL) {
|
west = westOverIDL;
|
east = eastOverIDL;
|
|
if (east > CesiumMath.PI) {
|
east = east - CesiumMath.TWO_PI;
|
}
|
if (west > CesiumMath.PI) {
|
west = west - CesiumMath.TWO_PI;
|
}
|
}
|
|
if (!defined(result)) {
|
return new Rectangle(west, south, east, north);
|
}
|
|
result.west = west;
|
result.south = south;
|
result.east = east;
|
result.north = north;
|
return result;
|
};
|
|
/**
|
* Duplicates a 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;
|
};
|
|
/**
|
* Compares the provided Rectangles componentwise and returns
|
* <code>true</code> if they pass an absolute or relative tolerance test,
|
* <code>false</code> otherwise.
|
*
|
* @param {Rectangle} [left] The first Rectangle.
|
* @param {Rectangle} [right] The second Rectangle.
|
* @param {Number} absoluteEpsilon 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.
|
*/
|
Rectangle.equalsEpsilon = function(left, right, absoluteEpsilon) {
|
//>>includeStart('debug', pragmas.debug);
|
Check.typeOf.number('absoluteEpsilon', absoluteEpsilon);
|
//>>includeEnd('debug');
|
|
return (left === right) ||
|
(defined(left) &&
|
defined(right) &&
|
(Math.abs(left.west - right.west) <= absoluteEpsilon) &&
|
(Math.abs(left.south - right.south) <= absoluteEpsilon) &&
|
(Math.abs(left.east - right.east) <= absoluteEpsilon) &&
|
(Math.abs(left.north - right.north) <= absoluteEpsilon));
|
};
|
|
/**
|
* 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);
|
Check.typeOf.number('epsilon', epsilon);
|
//>>includeEnd('debug');
|
|
return Rectangle.equalsEpsilon(this, other, epsilon);
|
};
|
|
/**
|
* Checks a 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);
|
Check.typeOf.object('rectangle', rectangle);
|
|
var north = rectangle.north;
|
Check.typeOf.number.greaterThanOrEquals('north', north, -CesiumMath.PI_OVER_TWO);
|
Check.typeOf.number.lessThanOrEquals('north', north, CesiumMath.PI_OVER_TWO);
|
|
var south = rectangle.south;
|
Check.typeOf.number.greaterThanOrEquals('south', south, -CesiumMath.PI_OVER_TWO);
|
Check.typeOf.number.lessThanOrEquals('south', south, CesiumMath.PI_OVER_TWO);
|
|
var west = rectangle.west;
|
Check.typeOf.number.greaterThanOrEquals('west', west, -Math.PI);
|
Check.typeOf.number.lessThanOrEquals('west', west, Math.PI);
|
|
var east = rectangle.east;
|
Check.typeOf.number.greaterThanOrEquals('east', east, -Math.PI);
|
Check.typeOf.number.lessThanOrEquals('east', east, Math.PI);
|
//>>includeEnd('debug');
|
};
|
|
/**
|
* Computes the southwest corner of a 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);
|
Check.typeOf.object('rectangle', rectangle);
|
//>>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 a 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);
|
Check.typeOf.object('rectangle', rectangle);
|
//>>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 a 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);
|
Check.typeOf.object('rectangle', rectangle);
|
//>>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 a 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);
|
Check.typeOf.object('rectangle', rectangle);
|
//>>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 a 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);
|
Check.typeOf.object('rectangle', rectangle);
|
//>>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. This function assumes that the rectangle's coordinates are
|
* latitude and longitude in radians and produces a correct intersection, taking into account the fact that
|
* the same angle can be represented with multiple values as well as the wrapping of longitude at the
|
* anti-meridian. For a simple intersection that ignores these factors and can be used with projected
|
* coordinates, see {@link Rectangle.simpleIntersection}.
|
*
|
* @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);
|
Check.typeOf.object('rectangle', rectangle);
|
Check.typeOf.object('otherRectangle', otherRectangle);
|
//>>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;
|
};
|
|
/**
|
* Computes a simple intersection of two rectangles. Unlike {@link Rectangle.intersection}, this function
|
* does not attempt to put the angular coordinates into a consistent range or to account for crossing the
|
* anti-meridian. As such, it can be used for rectangles where the coordinates are not simply latitude
|
* and longitude (i.e. projected coordinates).
|
*
|
* @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.simpleIntersection = function(rectangle, otherRectangle, result) {
|
//>>includeStart('debug', pragmas.debug);
|
Check.typeOf.object('rectangle', rectangle);
|
Check.typeOf.object('otherRectangle', otherRectangle);
|
//>>includeEnd('debug');
|
|
var west = Math.max(rectangle.west, otherRectangle.west);
|
var south = Math.max(rectangle.south, otherRectangle.south);
|
var east = Math.min(rectangle.east, otherRectangle.east);
|
var north = Math.min(rectangle.north, otherRectangle.north);
|
|
if (south >= north || west >= east) {
|
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;
|
};
|
|
/**
|
* Computes a rectangle that is the union of two rectangles.
|
*
|
* @param {Rectangle} rectangle A rectangle to enclose in rectangle.
|
* @param {Rectangle} otherRectangle A rectangle to enclose in a 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.union = function(rectangle, otherRectangle, result) {
|
//>>includeStart('debug', pragmas.debug);
|
Check.typeOf.object('rectangle', rectangle);
|
Check.typeOf.object('otherRectangle', otherRectangle);
|
//>>includeEnd('debug');
|
|
if (!defined(result)) {
|
result = new Rectangle();
|
}
|
|
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.convertLongitudeRange(Math.min(rectangleWest, otherRectangleWest));
|
var east = CesiumMath.convertLongitudeRange(Math.max(rectangleEast, otherRectangleEast));
|
|
result.west = west;
|
result.south = Math.min(rectangle.south, otherRectangle.south);
|
result.east = east;
|
result.north = Math.max(rectangle.north, otherRectangle.north);
|
|
return result;
|
};
|
|
/**
|
* Computes a rectangle by enlarging the provided rectangle until it contains the provided cartographic.
|
*
|
* @param {Rectangle} rectangle A rectangle to expand.
|
* @param {Cartographic} cartographic A cartographic to enclose in a rectangle.
|
* @param {Rectangle} [result] The object onto which to store the result.
|
* @returns {Rectangle} The modified result parameter or a new Rectangle instance if one was not provided.
|
*/
|
Rectangle.expand = function(rectangle, cartographic, result) {
|
//>>includeStart('debug', pragmas.debug);
|
Check.typeOf.object('rectangle', rectangle);
|
Check.typeOf.object('cartographic', cartographic);
|
//>>includeEnd('debug');
|
|
if (!defined(result)) {
|
result = new Rectangle();
|
}
|
|
result.west = Math.min(rectangle.west, cartographic.longitude);
|
result.south = Math.min(rectangle.south, cartographic.latitude);
|
result.east = Math.max(rectangle.east, cartographic.longitude);
|
result.north = Math.max(rectangle.north, cartographic.latitude);
|
|
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);
|
Check.typeOf.object('rectangle', rectangle);
|
Check.typeOf.object('cartographic', cartographic);
|
//>>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 a 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);
|
Check.typeOf.object('rectangle', rectangle);
|
//>>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 = Object.freeze(new Rectangle(-Math.PI, -CesiumMath.PI_OVER_TWO, Math.PI, CesiumMath.PI_OVER_TWO));
|
export default Rectangle;
|