774 lines
17 KiB
JavaScript
774 lines
17 KiB
JavaScript
|
// Copyright (c) 2013 Evan Shortiss
|
||
|
|
//
|
||
|
|
// Permission is hereby granted, free of charge, to any person obtaining a copy
|
||
|
|
// of this software and associated documentation files (the "Software"), to deal
|
||
|
|
// in the Software without restriction, including without limitation the rights
|
||
|
|
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
|
||
|
|
// copies of the Software, and to permit persons to whom the Software is
|
||
|
|
// furnished to do so, subject to the following conditions:
|
||
|
|
//
|
||
|
|
// The above copyright notice and this permission notice shall be included in
|
||
|
|
// all copies or substantial portions of the Software.
|
||
|
|
//
|
||
|
|
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
|
||
|
|
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
|
||
|
|
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
|
||
|
|
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
|
||
|
|
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
|
||
|
|
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
|
||
|
|
// THE SOFTWARE.
|
||
|
|
|
||
|
|
(function() {
|
||
|
|
// Default is to not use objects
|
||
|
|
var useObjects = false;
|
||
|
|
// Default is to use standard array
|
||
|
|
var AxesArray = Array;
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Parse the arguments passed into Vec2D and Vec3D.
|
||
|
|
* @param {Mixed} args The argument array from caller function.
|
||
|
|
* @return {Array} The resulting axes array.
|
||
|
|
*/
|
||
|
|
function parseArgs(args) {
|
||
|
|
// User passed x and y
|
||
|
|
if (args.length === 2) {
|
||
|
|
return new Array(args[0], args[1]);
|
||
|
|
}
|
||
|
|
// User passed an array
|
||
|
|
else if (Object.prototype.toString.call(args[0]) === '[object Array]') {
|
||
|
|
return args[0];
|
||
|
|
}
|
||
|
|
// User passed x and y in an object
|
||
|
|
else if (typeof(args[0]) === 'object') {
|
||
|
|
return [args[0].x, args[0].y];
|
||
|
|
} else {
|
||
|
|
return [0, 0];
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Check is the passed param a Vec2D instance.
|
||
|
|
* @param {Mixed} v The var to check.
|
||
|
|
* @return {Boolean} The result of check.
|
||
|
|
*/
|
||
|
|
function isVector(v) {
|
||
|
|
return v instanceof Vector || v instanceof ObjectVector;
|
||
|
|
};
|
||
|
|
|
||
|
|
|
||
|
|
/****************************************************************************
|
||
|
|
* Main array based vector class. Has instance methods attached to prototype.
|
||
|
|
* @constructor
|
||
|
|
* @param {Array} axes
|
||
|
|
****************************************************************************/
|
||
|
|
var Vector = function(axes) {
|
||
|
|
// Constructor for each array type is different. (Float32Array vs Array)
|
||
|
|
if (AxesArray.name === 'Float32Array') {
|
||
|
|
this._axes = new AxesArray([axes[0], axes[1]]);
|
||
|
|
} else {
|
||
|
|
this._axes = new AxesArray(axes[0], axes[1]);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
Vector.prototype = {
|
||
|
|
/**
|
||
|
|
* Set both x and y
|
||
|
|
* @param x New x val
|
||
|
|
* @param y New y val
|
||
|
|
*/
|
||
|
|
setAxes: function(x, y) {
|
||
|
|
this._axes[0] = x;
|
||
|
|
this._axes[1] = y;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Getter for x axis.
|
||
|
|
* @return {Number}
|
||
|
|
*/
|
||
|
|
getX: function() {
|
||
|
|
return this._axes[0];
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Setter for x axis.
|
||
|
|
*/
|
||
|
|
setX: function(x) {
|
||
|
|
this._axes[0] = x;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Getter for y axis.
|
||
|
|
* @return {Number}
|
||
|
|
*/
|
||
|
|
getY: function() {
|
||
|
|
return this._axes[1];
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Setter for y axis.
|
||
|
|
*/
|
||
|
|
setY: function(y) {
|
||
|
|
this._axes[1] = y;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* View vector as a string such as "Vec2D: (0, 4)"
|
||
|
|
* @param {Boolean}
|
||
|
|
* @return {String}
|
||
|
|
*/
|
||
|
|
toString: function(round) {
|
||
|
|
if (round) {
|
||
|
|
return '(' + Math.round(this.getX()) + ', ' + Math.round(this.getY()) + ')'
|
||
|
|
}
|
||
|
|
return '(' + this.getX() + ', ' + this.getY() + ')'
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Return an array containing the vector axes.
|
||
|
|
* @return {Array}
|
||
|
|
*/
|
||
|
|
toArray: function() {
|
||
|
|
return new Array(this.getX(), this.getY());
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Return an array containing the vector axes.
|
||
|
|
* @return {Object}
|
||
|
|
*/
|
||
|
|
toObject: function() {
|
||
|
|
return {
|
||
|
|
"x": this.getX(),
|
||
|
|
"y": this.getY()
|
||
|
|
};
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Add the provided Vector to this one.
|
||
|
|
* @param {Vector} vec
|
||
|
|
*/
|
||
|
|
add: function(vec) {
|
||
|
|
this._axes[0] += vec._axes[0];
|
||
|
|
this._axes[1] += vec._axes[1];
|
||
|
|
return this;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Subtract the provided vector from this one.
|
||
|
|
* @param {Vector} vec
|
||
|
|
*/
|
||
|
|
subtract: function(vec) {
|
||
|
|
this._axes[0] -= vec._axes[0];
|
||
|
|
this._axes[1] -= vec._axes[1];
|
||
|
|
return this;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Check is the vector provided equal to this one.
|
||
|
|
* @param {Vec2D} vec
|
||
|
|
* @return {Boolean}
|
||
|
|
*/
|
||
|
|
equals: function(vec) {
|
||
|
|
return (vec._axes[0] == this._axes[0] && vec._axes[1] == this._axes[1]);
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Multiply this vector by the provided vector.
|
||
|
|
* @param {Vector} vec
|
||
|
|
*/
|
||
|
|
multiplyByVector: function(vec) {
|
||
|
|
this._axes[0] *= vec._axes[0];
|
||
|
|
this._axes[1] *= vec._axes[1];
|
||
|
|
return this;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Multiply this vector by the provided vector.
|
||
|
|
* @param {Vector} vec
|
||
|
|
*/
|
||
|
|
divideByVector: function(vec) {
|
||
|
|
this._axes[0] /= vec._axes[0];
|
||
|
|
this._axes[1] /= vec._axes[1];
|
||
|
|
return this;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Multiply this vector by the provided number
|
||
|
|
* @param {Number} n
|
||
|
|
*/
|
||
|
|
multiplyByScalar: function(n) {
|
||
|
|
this._axes[0] *= n;
|
||
|
|
this._axes[1] *= n;
|
||
|
|
return this;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Divive this vector by the provided number
|
||
|
|
* @param {Number} n
|
||
|
|
*/
|
||
|
|
divideByScalar: function(n) {
|
||
|
|
this._axes[0] /= n;
|
||
|
|
this._axes[1] /= n;
|
||
|
|
return this;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Normalise this vector. Directly affects this vector.
|
||
|
|
* Use Vec2D.normalise(vector) to create a normalised clone of this.
|
||
|
|
*/
|
||
|
|
normalise: function() {
|
||
|
|
return this.multiplyByScalar(1 / this.magnitude());
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* For American spelling.
|
||
|
|
* Same as unit/normalise function.
|
||
|
|
*/
|
||
|
|
normalize: function() {
|
||
|
|
return this.normalise();
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* The same as normalise.
|
||
|
|
*/
|
||
|
|
unit: function() {
|
||
|
|
return this.normalise();
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Return the magnitude (length) of this vector.
|
||
|
|
* @return {Number}
|
||
|
|
*/
|
||
|
|
magnitude: function() {
|
||
|
|
return Math.sqrt((this._axes[0] * this._axes[0]) + (this._axes[1] * this._axes[1]));
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Return the magnitude (length) of this vector.
|
||
|
|
* @return {Number}
|
||
|
|
*/
|
||
|
|
length: function() {
|
||
|
|
return this.magnitude();
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Get the dot product of this vector by another.
|
||
|
|
* @param {Vector} vec
|
||
|
|
* @return {Number}
|
||
|
|
*/
|
||
|
|
dot: function(vec) {
|
||
|
|
return (vec._axes[0] * this._axes[0]) + (vec._axes[1] * this._axes[1]);
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Get the cross product of this vector by another.
|
||
|
|
* @param {Vector} vec
|
||
|
|
* @return {Number}
|
||
|
|
*/
|
||
|
|
cross: function(vec) {
|
||
|
|
return ((this._axes[0] * vec._axes[1]) - (this._axes[1] * vec._axes[0]));
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Returns the reverse of the provided vector.
|
||
|
|
* @param {Vector} vec
|
||
|
|
*/
|
||
|
|
reverse: function(vec) {
|
||
|
|
this._axes[0] = -this._axes[0];
|
||
|
|
this._axes[1] = -this._axes[1];
|
||
|
|
return this;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Create a copy of this vector.
|
||
|
|
* @return {Vector}
|
||
|
|
*/
|
||
|
|
clone: function() {
|
||
|
|
return new Vector([this._axes[0], this._axes[1]]);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
|
||
|
|
/****************************************************************************
|
||
|
|
* Main object based vector class. Has instance methods attached to prototype.
|
||
|
|
* @constructor
|
||
|
|
* @param {Array} axes
|
||
|
|
****************************************************************************/
|
||
|
|
var ObjectVector = function(axes) {
|
||
|
|
// Constructor for each array type is different. (Float32Array vs Array)
|
||
|
|
this._axes = {
|
||
|
|
x: axes[0],
|
||
|
|
y: axes[1]
|
||
|
|
};
|
||
|
|
};
|
||
|
|
|
||
|
|
ObjectVector.prototype = {
|
||
|
|
/**
|
||
|
|
* Set both x and y
|
||
|
|
* @param x New x val
|
||
|
|
* @param y New y val
|
||
|
|
*/
|
||
|
|
setAxes: function(x, y) {
|
||
|
|
this._axes.x = x;
|
||
|
|
this._axes.y = y;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Getter for x axis.
|
||
|
|
* @return {Number}
|
||
|
|
*/
|
||
|
|
getX: function() {
|
||
|
|
return this._axes.x;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Setter for x axis.
|
||
|
|
*/
|
||
|
|
setX: function(x) {
|
||
|
|
this._axes.x = x;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Getter for y axis.
|
||
|
|
* @return {Number}
|
||
|
|
*/
|
||
|
|
getY: function() {
|
||
|
|
return this._axes.y;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Setter for y axis.
|
||
|
|
*/
|
||
|
|
setY: function(y) {
|
||
|
|
this._axes.y = y;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* View vector as a string such as "Vec2D: (0, 4)"
|
||
|
|
* @param {Boolean}
|
||
|
|
* @return {String}
|
||
|
|
*/
|
||
|
|
toString: function(round) {
|
||
|
|
if (round) {
|
||
|
|
return '(' + Math.round(this.getX()) + ', ' + Math.round(this.getY()) + ')'
|
||
|
|
}
|
||
|
|
return '(' + this.getX() + ', ' + this.getY() + ')'
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Return an array containing the vector axes.
|
||
|
|
* @return {Array}
|
||
|
|
*/
|
||
|
|
toArray: function() {
|
||
|
|
return new Array(this.getX(), this.getY());
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Return an array containing the vector axes.
|
||
|
|
* @return {Object}
|
||
|
|
*/
|
||
|
|
toObject: function() {
|
||
|
|
return {
|
||
|
|
"x": this.getX(),
|
||
|
|
"y": this.getY()
|
||
|
|
};
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Add the provided Vector to this one.
|
||
|
|
* @param {Vector} vec
|
||
|
|
*/
|
||
|
|
add: function(vec) {
|
||
|
|
this._axes.x += vec._axes.x;
|
||
|
|
this._axes.y += vec._axes.y;
|
||
|
|
return this;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Subtract the provided vector from this one.
|
||
|
|
* @param {Vector} vec
|
||
|
|
*/
|
||
|
|
subtract: function(vec) {
|
||
|
|
this._axes.x -= vec._axes.x;
|
||
|
|
this._axes.y -= vec._axes.y;
|
||
|
|
return this;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Check is the vector provided equal to this one.
|
||
|
|
* @param {Vec2D} vec
|
||
|
|
* @return {Boolean}
|
||
|
|
*/
|
||
|
|
equals: function(vec) {
|
||
|
|
return (vec._axes.x == this._axes.x && vec._axes.y == this._axes.y);
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Multiply this vector by the provided vector.
|
||
|
|
* @param {Vector} vec
|
||
|
|
*/
|
||
|
|
multiplyByVector: function(vec) {
|
||
|
|
this._axes.x *= vec._axes.x;
|
||
|
|
this._axes.y *= vec._axes.y;
|
||
|
|
return this;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Multiply this vector by the provided vector.
|
||
|
|
* @param {Vector} vec
|
||
|
|
*/
|
||
|
|
divideByVector: function(vec) {
|
||
|
|
this._axes.x /= vec._axes.x;
|
||
|
|
this._axes.y /= vec._axes.y;
|
||
|
|
return this;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Multiply this vector by the provided number
|
||
|
|
* @param {Number} n
|
||
|
|
*/
|
||
|
|
multiplyByScalar: function(n) {
|
||
|
|
this._axes.x *= n;
|
||
|
|
this._axes.y *= n;
|
||
|
|
return this;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Divive this vector by the provided number
|
||
|
|
* @param {Number} n
|
||
|
|
*/
|
||
|
|
divideByScalar: function(n) {
|
||
|
|
this._axes.x /= n;
|
||
|
|
this._axes.y /= n;
|
||
|
|
return this;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Normalise this vector. Directly affects this vector.
|
||
|
|
* Use Vec2D.normalise(vector) to create a normalised clone of this.
|
||
|
|
*/
|
||
|
|
normalise: function() {
|
||
|
|
return this.multiplyByScalar(1 / this.magnitude());
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* For American spelling.
|
||
|
|
* Same as unit/normalise function.
|
||
|
|
*/
|
||
|
|
normalize: function() {
|
||
|
|
return this.normalise();
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* The same as normalise.
|
||
|
|
*/
|
||
|
|
unit: function() {
|
||
|
|
return this.normalise();
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Return the magnitude (length) of this vector.
|
||
|
|
* @return {Number}
|
||
|
|
*/
|
||
|
|
magnitude: function() {
|
||
|
|
return Math.sqrt((this._axes.x * this._axes.x) + (this._axes.y * this._axes.y));
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Return the magnitude (length) of this vector.
|
||
|
|
* @return {Number}
|
||
|
|
*/
|
||
|
|
length: function() {
|
||
|
|
return this.magnitude();
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Get the dot product of this vector by another.
|
||
|
|
* @param {Vector} vec
|
||
|
|
* @return {Number}
|
||
|
|
*/
|
||
|
|
dot: function(vec) {
|
||
|
|
return (vec._axes.x * this._axes.x) + (vec._axes.y * this._axes.y);
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Get the cross product of this vector by another.
|
||
|
|
* @param {Vector} vec
|
||
|
|
* @return {Number}
|
||
|
|
*/
|
||
|
|
cross: function(vec) {
|
||
|
|
return ((this._axes.x * vec._axes.y) - (this._axes.y * vec._axes.x));
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Returns the reverse of the provided vector.
|
||
|
|
* @param {Vector} vec
|
||
|
|
*/
|
||
|
|
reverse: function(vec) {
|
||
|
|
this._axes.x = -this._axes.x;
|
||
|
|
this._axes.y = -this._axes.y;
|
||
|
|
return this;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Create a copy of this vector.
|
||
|
|
* @return {Vector}
|
||
|
|
*/
|
||
|
|
clone: function() {
|
||
|
|
return new ObjectVector([this._axes.x, this._axes.y]);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
|
||
|
|
/****************************************************************************
|
||
|
|
Publically exposed Vector interface.
|
||
|
|
****************************************************************************/
|
||
|
|
var Vec2D = function() {
|
||
|
|
|
||
|
|
};
|
||
|
|
|
||
|
|
|
||
|
|
Vec2D.prototype = {
|
||
|
|
Vector: Vector,
|
||
|
|
ObjectVector: ObjectVector,
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Create a new Vector.
|
||
|
|
* @param {Number} [x]
|
||
|
|
* @param {Number} [y]
|
||
|
|
* @param {Object} [axes]
|
||
|
|
* @param {Array} [axes]
|
||
|
|
*/
|
||
|
|
create: function() {
|
||
|
|
if(useObjects) {
|
||
|
|
return new this.ObjectVector(parseArgs(arguments));
|
||
|
|
}
|
||
|
|
return new this.Vector(parseArgs(arguments));
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Instruct the library to use standard JavaScript arrays.
|
||
|
|
* Otherwise the library will try use Float32Arrays if available. (This is default)
|
||
|
|
*/
|
||
|
|
useStandardArrays: function() {
|
||
|
|
useObjects = false;
|
||
|
|
AxesArray = Array;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Instruct the library to use Float32 JavaScript arrays. (This is default)
|
||
|
|
* Otherwise the library will use standard array.
|
||
|
|
*/
|
||
|
|
useFloat32Arrays: function() {
|
||
|
|
useObjects = false;
|
||
|
|
AxesArray = Float32Array;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Instruct library to use Objects to represent vectors.
|
||
|
|
*/
|
||
|
|
useObjects: function() {
|
||
|
|
useObjects = true;
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Add v0 to v1 to produce a new vector
|
||
|
|
* @param {Vector} v0
|
||
|
|
* @param {Vector} v1
|
||
|
|
* @return {Vector}
|
||
|
|
*/
|
||
|
|
add: function(v0, v1) {
|
||
|
|
return this.create(v0.getX() + v1.getX(), v0.getY() + v1.getY())
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Subtract v0 from v1 to produce a new Vector.
|
||
|
|
* @param {Vector} v0
|
||
|
|
* @param {Vector} v1
|
||
|
|
* @return {Vector}
|
||
|
|
*/
|
||
|
|
subtract: function(v0, v1) {
|
||
|
|
return this.create(v0.getX() - v1.getX(), v0.getY()- v1.getY())
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Check are the provided vectors equal.
|
||
|
|
* @param {Vector} v0
|
||
|
|
* @param {Vector} v1
|
||
|
|
* @return {Boolean}
|
||
|
|
*/
|
||
|
|
equals: function(v0, v1) {
|
||
|
|
return v0.equals(v1);
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Multiply a vector by a vector to produce a new Vector
|
||
|
|
* @param {Vector} v0
|
||
|
|
* @param {Vector} v1
|
||
|
|
* @return {Vector}
|
||
|
|
*/
|
||
|
|
vectorTimesVector: function(v0, v1) {
|
||
|
|
return this.create(v0.getX() * v1.getX(), v0.getY() * v1.getY());
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Multiply a vector by a number to produce a new vector.
|
||
|
|
* @param {Vector} vec The var to store a result in.
|
||
|
|
* @param {Number} n The Vector to subtract from this one.
|
||
|
|
* @return {Vector}
|
||
|
|
*/
|
||
|
|
vectorTimesScalar: function(vec, n) {
|
||
|
|
return this.create(vec.getX() * n, vec.getY() * n);
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Return a normalised version of provided vector.
|
||
|
|
* @param {Vector} vec
|
||
|
|
* @return {Vector}
|
||
|
|
*/
|
||
|
|
nomalise: function(vec) {
|
||
|
|
return this.timesScalar(vec, 1 / vec.magnitude());
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Same as normalise
|
||
|
|
*/
|
||
|
|
normalize: function(vec) {
|
||
|
|
return this.normalise(vec);
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Same as normalise.
|
||
|
|
*/
|
||
|
|
unit: function(vec) {
|
||
|
|
return this.normalise(vec);
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Return the dot product of two vectors or this vector dot another.
|
||
|
|
* @param {Vector} v0
|
||
|
|
* @param {Vector} v1
|
||
|
|
* @return {Number}
|
||
|
|
*/
|
||
|
|
dot: function(v0, v1) {
|
||
|
|
return (v0.getX() * v1.getX()) + (v0.getY() * v1.getY());
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Calculate the cross product of two vectors.
|
||
|
|
* @param {Vector} v0
|
||
|
|
* @param {Vector} v1
|
||
|
|
* @param {Vector}
|
||
|
|
*/
|
||
|
|
cross: function(v0, v1) {
|
||
|
|
return ((v0.getX() * v1.getY()) - (v0.getY() * v1.getX()));
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Return the magnitude (length) of a vector.
|
||
|
|
* @param {Vector} vec
|
||
|
|
* @return {Number}
|
||
|
|
*/
|
||
|
|
magnitude: function(vec) {
|
||
|
|
return vec.magnitude();
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Same as the magnitude.
|
||
|
|
*/
|
||
|
|
length: function(vec) {
|
||
|
|
return vec.magnitude();
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Find sqaure distance between two vectors.
|
||
|
|
* @param {Vector} v0
|
||
|
|
* @param {Vector} v1
|
||
|
|
* @return {Number}
|
||
|
|
*/
|
||
|
|
distance: function(v0, v1) {
|
||
|
|
return Math.sqrt((v0.getX() - v1.getX()) * (v0.getX() - v1.getX()) + (v0.getY() - v1.getY()) * (v0.getY() - v1.getY()))
|
||
|
|
},
|
||
|
|
|
||
|
|
|
||
|
|
/**
|
||
|
|
* Returns the reverse of the provided vector.
|
||
|
|
* @param {Vector} vec
|
||
|
|
* @return {Vector}
|
||
|
|
*/
|
||
|
|
reverse: function(vec) {
|
||
|
|
return this.create(-vec.getX(), -vec.getY());
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
// Expose publically
|
||
|
|
if (typeof window !== 'undefined') {
|
||
|
|
window.Vec2D = new Vec2D();
|
||
|
|
} else {
|
||
|
|
module.exports = new Vec2D();
|
||
|
|
}
|
||
|
|
|
||
|
|
})();
|