//Code by Grey Hugentobler, March 31st, 2011 through April 3rd, 2011

package GravityApplet;

public class Vector {

	public static void main(String[] Args) {

	}

	private float xCoordinate;
	private float yCoordinate;

	// create the Vector
	public Vector(float x, float y) {
		this.xCoordinate = x;
		this.yCoordinate = y;
	}

	//toStringMethod
	public String toString(){
		return "(" + this.xCoordinate + ", " + this.yCoordinate + ")";
	}
	
	// get the x Coordinate of the Vector
	public float x() {
		return this.xCoordinate;
	}

	// get the y Coordinate of the Vector
	public float y() {
		return this.yCoordinate;
	}
	
	//get the length of the Vector
	public float length() {
		return Math.round(Math.sqrt(this.xCoordinate*this.xCoordinate + this.yCoordinate*this.yCoordinate));
	}
	
	//get the direction of the Vector
	public float angle() {
		return Math.round(Math.atan2(this.yCoordinate, this.xCoordinate));
	}

	// add two Vectors
	public Vector add(Vector that) {
		return new Vector(this.xCoordinate + that.xCoordinate, this.yCoordinate	+ that.yCoordinate);
	}

	// get the negative of a vector
	public Vector negative() {
		return new Vector(-this.xCoordinate, -this.yCoordinate);
	}

	// subtract one vector from another
	public Vector subtract(Vector that) {
		return this.add(that.negative());
	}

	// get the dot product of two Vectors
	public float dot(Vector that) {
		return this.xCoordinate * that.xCoordinate + this.yCoordinate * that.yCoordinate;
	}

	// Multiply a Vector by a scalar
	public Vector multiply(float that) {
		return new Vector(that * this.xCoordinate, that * this.yCoordinate);
	}

	// return the distance between the endpoints of two Vectors
	public float distance(Vector that) {
		return Math.round(Math.sqrt((this.subtract(that)).dot(this.subtract(that))));
	}
}