Complete Specifications for the Vector3D Class

This is your chance to create an API You will create a class for doing computation with complex numbers. It will have all features listed here. Use the ideas from the BigFraction case study. Your final product should have a similar appearance to the product in the textbook.

Static Constants Our class will have three static constants as shown here. Initialize them in a static block.

• Vector3D.I This is i.
• Vector3D.J This is j.
• Vector3D.K This is k.

State Your class will have private state variables for the coefficients of i, j, and k.

Methods Your public interface will look like this. You may add any private or other methods as you see fit.

/**
 * DO NOT change this interface in any way
 * Your program will be compiled against this interface, so your methods
 * must have exactly these signatures or your program will fail to compile.
 */
public interface IVector3D
{
    /**
     * @param that anohter Vector3D
     * @return  the dot product of this vector and that.
     */
    public int dot(Vector3D that);
    /**
     * @param that another Vector3D
     * @return  the cross product of this vector and that.
     */
    public Vector3D cross(Vector3D that);
    /**
     * @param scalar an integer we are multiplying this Vector3D by
     * @return  scalar*this
     */
    public Vector3D scalarMultiply(int scalar);
    /**
     * @param that a Vector3D we are adding this vector to
     * @return scalar*this
     */
    public Vector3D add(Vector3D that);
    /**
     * @param that a Vector3D we are scalar subtractiong this vector from
     * @return this - that
     */
    public Vector3D subtract(Vector3D that);
    /**
     * @return the length of this vector
     */
    public double magnitude();
    /**
     * @param that another Vector3D
     * @return the angle between this and that in radians in [0,π]
     */
    public double angleBetween(Vector3D that);
}
    

This is a shell file for your class.

/*
 * This is a class of 3D immutible vectors.
 */
public class Vector3D implements IVector3D
{
    //initialize in a static block
    public static final Vector3D I = null;
    public static final Vector3D J = null;
    public static final Vector3D K = null;
    /*
     * @param a coefficient of I
     * @param b coefficient of J
     * @param c coefficient of K
     * This makes ai + bj + ck
     */
    public Vector3D(int a, int b, int c)
    {
    }
    /**
     * This makes the zero vector
     */
    public Vector3D()
    {
    }
    /**
     * @param that another Vector3D
     * @return  the dot product of this vector and that.
     */
    public int dot(Vector3D that)
    {
        return 0;
    }
    /**
     * @param that another Vector3D
     * @return  the cross product of this vector and that.
     */
    public Vector3D cross(Vector3D that)
    {
        return null;
    }
    /**
     * @param scalar a integer we are scalar multiplying this vector by
     * @return  the that*this
     */
    public Vector3D scalarMultiply(int scalar)
    {
        return null;
    }
    /**
     * @param that a Vector3D we are adding to this Vector3D
     * @return this + that
     */
    public Vector3D add(Vector3D that)
    {
        return null;
    }
    /**
     * @param that a Vector3D we are subtracting from this Vector3D
     * @return this - that
     */
    public Vector3D subtract(Vector3D that)
    {
        return null;
    }
    /**
     * @return the length of this vector
     */
    public double magnitude()
    {
        return 0;
    }
    /**
     * @param that another vector
     * @return the angle between this and that in radians in [0,π]
     */
    public double angleBetween(Vector3D that)
    {
        return 0.0;
    }
    /**
     * @return A string representation of the form ai + bj + ck.
     * Make sure you have negative terms not looking like crap.
     */
    @Override 

    public String toString()
    {
        return "";
    }
    @Override 
    public boolean equals(Object o)
    {
        return false;
    }

}

Shell Code Download the shell code on the left; there are two files Vector3D.java and IVector3D.java. Place them in the same folder and open them with DrJava. They will compile right out of the box, since all methods bear an appropriate stub. Keep them in the same directory.

Do not change the contents of IVector3D.java at all. Do not change any of the method names or signaures in Vector3D.java. Doing either of these will cause your project to fail to compile for me. You may add methods to this class if you wish. Of course, you may also add private methods to do tasks behind the scenes.