/*global define*/
define([
'./defaultValue',
'./defined',
'./DeveloperError',
'./freezeObject',
'./Math'
], function(
defaultValue,
defined,
DeveloperError,
freezeObject,
CesiumMath) {
'use strict';
/**
* A 2D Cartesian point.
* @alias Cartesian2
* @constructor
*
* @param {Number} [x=0.0] The X component.
* @param {Number} [y=0.0] The Y component.
*
* @see Cartesian3
* @see Cartesian4
* @see Packable
*/
function Cartesian2(x, y) {
/**
* The X component.
* @type {Number}
* @default 0.0
*/
this.x = defaultValue(x, 0.0);
/**
* The Y component.
* @type {Number}
* @default 0.0
*/
this.y = defaultValue(y, 0.0);
}
/**
* Creates a Cartesian2 instance from x and y coordinates.
*
* @param {Number} x The x coordinate.
* @param {Number} y The y coordinate.
* @param {Cartesian2} [result] The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided.
*/
Cartesian2.fromElements = function(x, y, result) {
if (!defined(result)) {
return new Cartesian2(x, y);
}
result.x = x;
result.y = y;
return result;
};
/**
* Duplicates a Cartesian2 instance.
*
* @param {Cartesian2} cartesian The Cartesian to duplicate.
* @param {Cartesian2} [result] The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided. (Returns undefined if cartesian is undefined)
*/
Cartesian2.clone = function(cartesian, result) {
if (!defined(cartesian)) {
return undefined;
}
if (!defined(result)) {
return new Cartesian2(cartesian.x, cartesian.y);
}
result.x = cartesian.x;
result.y = cartesian.y;
return result;
};
/**
* Creates a Cartesian2 instance from an existing Cartesian3. This simply takes the
* x and y properties of the Cartesian3 and drops z.
* @function
*
* @param {Cartesian3} cartesian The Cartesian3 instance to create a Cartesian2 instance from.
* @param {Cartesian2} [result] The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided.
*/
Cartesian2.fromCartesian3 = Cartesian2.clone;
/**
* Creates a Cartesian2 instance from an existing Cartesian4. This simply takes the
* x and y properties of the Cartesian4 and drops z and w.
* @function
*
* @param {Cartesian4} cartesian The Cartesian4 instance to create a Cartesian2 instance from.
* @param {Cartesian2} [result] The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided.
*/
Cartesian2.fromCartesian4 = Cartesian2.clone;
/**
* The number of elements used to pack the object into an array.
* @type {Number}
*/
Cartesian2.packedLength = 2;
/**
* Stores the provided instance into the provided array.
*
* @param {Cartesian2} value The value to pack.
* @param {Number[]} array The array to pack into.
* @param {Number} [startingIndex=0] The index into the array at which to start packing the elements.
*
* @returns {Number[]} The array that was packed into
*/
Cartesian2.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.x;
array[startingIndex] = value.y;
return array;
};
/**
* Retrieves an instance from a packed array.
*
* @param {Number[]} array The packed array.
* @param {Number} [startingIndex=0] The starting index of the element to be unpacked.
* @param {Cartesian2} [result] The object into which to store the result.
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided.
*/
Cartesian2.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 Cartesian2();
}
result.x = array[startingIndex++];
result.y = array[startingIndex];
return result;
};
/**
* Flattens an array of Cartesian2s into and array of components.
*
* @param {Cartesian2[]} array The array of cartesians to pack.
* @param {Number[]} result The array onto which to store the result.
* @returns {Number[]} The packed array.
*/
Cartesian2.packArray = function(array, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(array)) {
throw new DeveloperError('array is required');
}
//>>includeEnd('debug');
var length = array.length;
if (!defined(result)) {
result = new Array(length * 2);
} else {
result.length = length * 2;
}
for (var i = 0; i < length; ++i) {
Cartesian2.pack(array[i], result, i * 2);
}
return result;
};
/**
* Unpacks an array of cartesian components into and array of Cartesian2s.
*
* @param {Number[]} array The array of components to unpack.
* @param {Cartesian2[]} result The array onto which to store the result.
* @returns {Cartesian2[]} The unpacked array.
*/
Cartesian2.unpackArray = function(array, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(array)) {
throw new DeveloperError('array is required');
}
//>>includeEnd('debug');
var length = array.length;
if (!defined(result)) {
result = new Array(length / 2);
} else {
result.length = length / 2;
}
for (var i = 0; i < length; i += 2) {
var index = i / 2;
result[index] = Cartesian2.unpack(array, i, result[index]);
}
return result;
};
/**
* Creates a Cartesian2 from two consecutive elements in an array.
* @function
*
* @param {Number[]} array The array whose two consecutive elements correspond to the x and y components, respectively.
* @param {Number} [startingIndex=0] The offset into the array of the first element, which corresponds to the x component.
* @param {Cartesian2} [result] The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided.
*
* @example
* // Create a Cartesian2 with (1.0, 2.0)
* var v = [1.0, 2.0];
* var p = Cesium.Cartesian2.fromArray(v);
*
* // Create a Cartesian2 with (1.0, 2.0) using an offset into an array
* var v2 = [0.0, 0.0, 1.0, 2.0];
* var p2 = Cesium.Cartesian2.fromArray(v2, 2);
*/
Cartesian2.fromArray = Cartesian2.unpack;
/**
* Computes the value of the maximum component for the supplied Cartesian.
*
* @param {Cartesian2} cartesian The cartesian to use.
* @returns {Number} The value of the maximum component.
*/
Cartesian2.maximumComponent = function(cartesian) {
//>>includeStart('debug', pragmas.debug);
if (!defined(cartesian)) {
throw new DeveloperError('cartesian is required');
}
//>>includeEnd('debug');
return Math.max(cartesian.x, cartesian.y);
};
/**
* Computes the value of the minimum component for the supplied Cartesian.
*
* @param {Cartesian2} cartesian The cartesian to use.
* @returns {Number} The value of the minimum component.
*/
Cartesian2.minimumComponent = function(cartesian) {
//>>includeStart('debug', pragmas.debug);
if (!defined(cartesian)) {
throw new DeveloperError('cartesian is required');
}
//>>includeEnd('debug');
return Math.min(cartesian.x, cartesian.y);
};
/**
* Compares two Cartesians and computes a Cartesian which contains the minimum components of the supplied Cartesians.
*
* @param {Cartesian2} first A cartesian to compare.
* @param {Cartesian2} second A cartesian to compare.
* @param {Cartesian2} result The object into which to store the result.
* @returns {Cartesian2} A cartesian with the minimum components.
*/
Cartesian2.minimumByComponent = function(first, second, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(first)) {
throw new DeveloperError('first is required.');
}
if (!defined(second)) {
throw new DeveloperError('second is required.');
}
if (!defined(result)) {
throw new DeveloperError('result is required.');
}
//>>includeEnd('debug');
result.x = Math.min(first.x, second.x);
result.y = Math.min(first.y, second.y);
return result;
};
/**
* Compares two Cartesians and computes a Cartesian which contains the maximum components of the supplied Cartesians.
*
* @param {Cartesian2} first A cartesian to compare.
* @param {Cartesian2} second A cartesian to compare.
* @param {Cartesian2} result The object into which to store the result.
* @returns {Cartesian2} A cartesian with the maximum components.
*/
Cartesian2.maximumByComponent = function(first, second, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(first)) {
throw new DeveloperError('first is required.');
}
if (!defined(second)) {
throw new DeveloperError('second is required.');
}
if (!defined(result)) {
throw new DeveloperError('result is required.');
}
//>>includeEnd('debug');
result.x = Math.max(first.x, second.x);
result.y = Math.max(first.y, second.y);
return result;
};
/**
* Computes the provided Cartesian's squared magnitude.
*
* @param {Cartesian2} cartesian The Cartesian instance whose squared magnitude is to be computed.
* @returns {Number} The squared magnitude.
*/
Cartesian2.magnitudeSquared = function(cartesian) {
//>>includeStart('debug', pragmas.debug);
if (!defined(cartesian)) {
throw new DeveloperError('cartesian is required');
}
//>>includeEnd('debug');
return cartesian.x * cartesian.x + cartesian.y * cartesian.y;
};
/**
* Computes the Cartesian's magnitude (length).
*
* @param {Cartesian2} cartesian The Cartesian instance whose magnitude is to be computed.
* @returns {Number} The magnitude.
*/
Cartesian2.magnitude = function(cartesian) {
return Math.sqrt(Cartesian2.magnitudeSquared(cartesian));
};
var distanceScratch = new Cartesian2();
/**
* Computes the distance between two points.
*
* @param {Cartesian2} left The first point to compute the distance from.
* @param {Cartesian2} right The second point to compute the distance to.
* @returns {Number} The distance between two points.
*
* @example
* // Returns 1.0
* var d = Cesium.Cartesian2.distance(new Cesium.Cartesian2(1.0, 0.0), new Cesium.Cartesian2(2.0, 0.0));
*/
Cartesian2.distance = function(left, right) {
//>>includeStart('debug', pragmas.debug);
if (!defined(left) || !defined(right)) {
throw new DeveloperError('left and right are required.');
}
//>>includeEnd('debug');
Cartesian2.subtract(left, right, distanceScratch);
return Cartesian2.magnitude(distanceScratch);
};
/**
* Computes the squared distance between two points. Comparing squared distances
* using this function is more efficient than comparing distances using {@link Cartesian2#distance}.
*
* @param {Cartesian2} left The first point to compute the distance from.
* @param {Cartesian2} right The second point to compute the distance to.
* @returns {Number} The distance between two points.
*
* @example
* // Returns 4.0, not 2.0
* var d = Cesium.Cartesian2.distance(new Cesium.Cartesian2(1.0, 0.0), new Cesium.Cartesian2(3.0, 0.0));
*/
Cartesian2.distanceSquared = function(left, right) {
//>>includeStart('debug', pragmas.debug);
if (!defined(left) || !defined(right)) {
throw new DeveloperError('left and right are required.');
}
//>>includeEnd('debug');
Cartesian2.subtract(left, right, distanceScratch);
return Cartesian2.magnitudeSquared(distanceScratch);
};
/**
* Computes the normalized form of the supplied Cartesian.
*
* @param {Cartesian2} cartesian The Cartesian to be normalized.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
Cartesian2.normalize = function(cartesian, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(cartesian)) {
throw new DeveloperError('cartesian is required');
}
if (!defined(result)) {
throw new DeveloperError('result is required');
}
//>>includeEnd('debug');
var magnitude = Cartesian2.magnitude(cartesian);
result.x = cartesian.x / magnitude;
result.y = cartesian.y / magnitude;
//>>includeStart('debug', pragmas.debug);
if (isNaN(result.x) || isNaN(result.y)) {
throw new DeveloperError('normalized result is not a number');
}
//>>includeEnd('debug');
return result;
};
/**
* Computes the dot (scalar) product of two Cartesians.
*
* @param {Cartesian2} left The first Cartesian.
* @param {Cartesian2} right The second Cartesian.
* @returns {Number} The dot product.
*/
Cartesian2.dot = function(left, right) {
//>>includeStart('debug', pragmas.debug);
if (!defined(left)) {
throw new DeveloperError('left is required');
}
if (!defined(right)) {
throw new DeveloperError('right is required');
}
//>>includeEnd('debug');
return left.x * right.x + left.y * right.y;
};
/**
* Computes the componentwise product of two Cartesians.
*
* @param {Cartesian2} left The first Cartesian.
* @param {Cartesian2} right The second Cartesian.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
Cartesian2.multiplyComponents = function(left, right, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(left)) {
throw new DeveloperError('left is required');
}
if (!defined(right)) {
throw new DeveloperError('right is required');
}
if (!defined(result)) {
throw new DeveloperError('result is required');
}
//>>includeEnd('debug');
result.x = left.x * right.x;
result.y = left.y * right.y;
return result;
};
/**
* Computes the componentwise sum of two Cartesians.
*
* @param {Cartesian2} left The first Cartesian.
* @param {Cartesian2} right The second Cartesian.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
Cartesian2.add = function(left, right, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(left)) {
throw new DeveloperError('left is required');
}
if (!defined(right)) {
throw new DeveloperError('right is required');
}
if (!defined(result)) {
throw new DeveloperError('result is required');
}
//>>includeEnd('debug');
result.x = left.x + right.x;
result.y = left.y + right.y;
return result;
};
/**
* Computes the componentwise difference of two Cartesians.
*
* @param {Cartesian2} left The first Cartesian.
* @param {Cartesian2} right The second Cartesian.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
Cartesian2.subtract = function(left, right, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(left)) {
throw new DeveloperError('left is required');
}
if (!defined(right)) {
throw new DeveloperError('right is required');
}
if (!defined(result)) {
throw new DeveloperError('result is required');
}
//>>includeEnd('debug');
result.x = left.x - right.x;
result.y = left.y - right.y;
return result;
};
/**
* Multiplies the provided Cartesian componentwise by the provided scalar.
*
* @param {Cartesian2} cartesian The Cartesian to be scaled.
* @param {Number} scalar The scalar to multiply with.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
Cartesian2.multiplyByScalar = function(cartesian, scalar, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(cartesian)) {
throw new DeveloperError('cartesian is required');
}
if (typeof scalar !== 'number') {
throw new DeveloperError('scalar is required and must be a number.');
}
if (!defined(result)) {
throw new DeveloperError('result is required');
}
//>>includeEnd('debug');
result.x = cartesian.x * scalar;
result.y = cartesian.y * scalar;
return result;
};
/**
* Divides the provided Cartesian componentwise by the provided scalar.
*
* @param {Cartesian2} cartesian The Cartesian to be divided.
* @param {Number} scalar The scalar to divide by.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
Cartesian2.divideByScalar = function(cartesian, scalar, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(cartesian)) {
throw new DeveloperError('cartesian is required');
}
if (typeof scalar !== 'number') {
throw new DeveloperError('scalar is required and must be a number.');
}
if (!defined(result)) {
throw new DeveloperError('result is required');
}
//>>includeEnd('debug');
result.x = cartesian.x / scalar;
result.y = cartesian.y / scalar;
return result;
};
/**
* Negates the provided Cartesian.
*
* @param {Cartesian2} cartesian The Cartesian to be negated.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
Cartesian2.negate = function(cartesian, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(cartesian)) {
throw new DeveloperError('cartesian is required');
}
if (!defined(result)) {
throw new DeveloperError('result is required');
}
//>>includeEnd('debug');
result.x = -cartesian.x;
result.y = -cartesian.y;
return result;
};
/**
* Computes the absolute value of the provided Cartesian.
*
* @param {Cartesian2} cartesian The Cartesian whose absolute value is to be computed.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
Cartesian2.abs = function(cartesian, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(cartesian)) {
throw new DeveloperError('cartesian is required');
}
if (!defined(result)) {
throw new DeveloperError('result is required');
}
//>>includeEnd('debug');
result.x = Math.abs(cartesian.x);
result.y = Math.abs(cartesian.y);
return result;
};
var lerpScratch = new Cartesian2();
/**
* Computes the linear interpolation or extrapolation at t using the provided cartesians.
*
* @param {Cartesian2} start The value corresponding to t at 0.0.
* @param {Cartesian2} end The value corresponding to t at 1.0.
* @param {Number} t The point along t at which to interpolate.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter.
*/
Cartesian2.lerp = function(start, end, t, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(start)) {
throw new DeveloperError('start is required.');
}
if (!defined(end)) {
throw new DeveloperError('end is required.');
}
if (typeof t !== 'number') {
throw new DeveloperError('t is required and must be a number.');
}
if (!defined(result)) {
throw new DeveloperError('result is required.');
}
//>>includeEnd('debug');
Cartesian2.multiplyByScalar(end, t, lerpScratch);
result = Cartesian2.multiplyByScalar(start, 1.0 - t, result);
return Cartesian2.add(lerpScratch, result, result);
};
var angleBetweenScratch = new Cartesian2();
var angleBetweenScratch2 = new Cartesian2();
/**
* Returns the angle, in radians, between the provided Cartesians.
*
* @param {Cartesian2} left The first Cartesian.
* @param {Cartesian2} right The second Cartesian.
* @returns {Number} The angle between the Cartesians.
*/
Cartesian2.angleBetween = function(left, right) {
//>>includeStart('debug', pragmas.debug);
if (!defined(left)) {
throw new DeveloperError('left is required');
}
if (!defined(right)) {
throw new DeveloperError('right is required');
}
//>>includeEnd('debug');
Cartesian2.normalize(left, angleBetweenScratch);
Cartesian2.normalize(right, angleBetweenScratch2);
return CesiumMath.acosClamped(Cartesian2.dot(angleBetweenScratch, angleBetweenScratch2));
};
var mostOrthogonalAxisScratch = new Cartesian2();
/**
* Returns the axis that is most orthogonal to the provided Cartesian.
*
* @param {Cartesian2} cartesian The Cartesian on which to find the most orthogonal axis.
* @param {Cartesian2} result The object onto which to store the result.
* @returns {Cartesian2} The most orthogonal axis.
*/
Cartesian2.mostOrthogonalAxis = function(cartesian, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(cartesian)) {
throw new DeveloperError('cartesian is required.');
}
if (!defined(result)) {
throw new DeveloperError('result is required.');
}
//>>includeEnd('debug');
var f = Cartesian2.normalize(cartesian, mostOrthogonalAxisScratch);
Cartesian2.abs(f, f);
if (f.x <= f.y) {
result = Cartesian2.clone(Cartesian2.UNIT_X, result);
} else {
result = Cartesian2.clone(Cartesian2.UNIT_Y, result);
}
return result;
};
/**
* Compares the provided Cartesians componentwise and returns
* <code>true</code> if they are equal, <code>false</code> otherwise.
*
* @param {Cartesian2} [left] The first Cartesian.
* @param {Cartesian2} [right] The second Cartesian.
* @returns {Boolean} <code>true</code> if left and right are equal, <code>false</code> otherwise.
*/
Cartesian2.equals = function(left, right) {
return (left === right) ||
((defined(left)) &&
(defined(right)) &&
(left.x === right.x) &&
(left.y === right.y));
};
/**
* @private
*/
Cartesian2.equalsArray = function(cartesian, array, offset) {
return cartesian.x === array[offset] &&
cartesian.y === array[offset + 1];
};
/**
* Compares the provided Cartesians componentwise and returns
* <code>true</code> if they pass an absolute or relative tolerance test,
* <code>false</code> otherwise.
*
* @param {Cartesian2} [left] The first Cartesian.
* @param {Cartesian2} [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.
*/
Cartesian2.equalsEpsilon = function(left, right, relativeEpsilon, absoluteEpsilon) {
return (left === right) ||
(defined(left) &&
defined(right) &&
CesiumMath.equalsEpsilon(left.x, right.x, relativeEpsilon, absoluteEpsilon) &&
CesiumMath.equalsEpsilon(left.y, right.y, relativeEpsilon, absoluteEpsilon));
};
/**
* An immutable Cartesian2 instance initialized to (0.0, 0.0).
*
* @type {Cartesian2}
* @constant
*/
Cartesian2.ZERO = freezeObject(new Cartesian2(0.0, 0.0));
/**
* An immutable Cartesian2 instance initialized to (1.0, 0.0).
*
* @type {Cartesian2}
* @constant
*/
Cartesian2.UNIT_X = freezeObject(new Cartesian2(1.0, 0.0));
/**
* An immutable Cartesian2 instance initialized to (0.0, 1.0).
*
* @type {Cartesian2}
* @constant
*/
Cartesian2.UNIT_Y = freezeObject(new Cartesian2(0.0, 1.0));
/**
* Duplicates this Cartesian2 instance.
*
* @param {Cartesian2} [result] The object onto which to store the result.
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided.
*/
Cartesian2.prototype.clone = function(result) {
return Cartesian2.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 {Cartesian2} [right] The right hand side Cartesian.
* @returns {Boolean} <code>true</code> if they are equal, <code>false</code> otherwise.
*/
Cartesian2.prototype.equals = function(right) {
return Cartesian2.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 {Cartesian2} [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.
*/
Cartesian2.prototype.equalsEpsilon = function(right, relativeEpsilon, absoluteEpsilon) {
return Cartesian2.equalsEpsilon(this, right, relativeEpsilon, absoluteEpsilon);
};
/**
* Creates a string representing this Cartesian in the format '(x, y)'.
*
* @returns {String} A string representing the provided Cartesian in the format '(x, y)'.
*/
Cartesian2.prototype.toString = function() {
return '(' + this.x + ', ' + this.y + ')';
};
return Cartesian2;
});