/************************************************************************
*																		*
*	Program:	Vector3Test.cpp											*
*																		*
*	Author:		Robb T. Koether											*
*																		*
*	Date:		Oct 8, 2003												*
*																		*
*	Purpose:	This program will test the Vector3 class				*
*																		*
************************************************************************/

#include <iostream>
#include <string>
#include "point3.h"
#include "vector3.h"

using namespace std;

/************************************************************************
*																		*
*	Function:	main													*
*																		*
************************************************************************/

int main()
{
//	Create a default vector

	cout << "Create a default vector" << endl;
	Vector3 u;
	cout << "u = " << u << endl;

//	Create the vector [1, 2, 3]

	cout << endl << "Create vector <1, 2, 3>" << endl;
	Vector3 v(1, 2, 3);
	cout << "v = " << v << endl;
	
//	Create the vector [4, 5, 6]

	cout << endl << "Create another vector <4, 5, 6>" << endl;
	u.set(4, 5, 6);
	cout << "u = " << u << endl;
	
//	Take the dot product

	cout << endl << "Take the dot product" << endl;
	cout << "u.dot(v) = " << u.dot(v) << endl;
	
//	Take the cross product

	cout << endl << "Take the cross product" << endl;
	cout << "u.cross(v) = " << u.cross(v) << endl;

//	Test addition

	cout << endl << "Add u and v" << endl;
	cout << "u + v = " << u + v << endl;

//	Test subtraction
	
	cout << endl << "Subtract u from v" << endl;
	cout << "v - u = " << v - u << endl;

//	Test difference of points
	
	cout << endl << "Set v equal the difference of two points" << endl;
	Point3 p(3, 6, 4);
	Point3 q(1, 8, 2);
	cout << "p = " << p << ", q = " << q << endl;
	v.setDiff(p, q);
	cout << "v = " << v << endl;

//	Add a point to a vector

	cout << endl << "Add q to v" << endl;
	cout << "v + q = " << v + q << endl;
	
//	Test the length
	
	cout << endl << "Find the length of v" << endl;
	cout << "Length of v = " << v.length() << endl;

//	Test negation
	
	cout << endl << "Negate v" << endl;
	cout << "-v = " << -v << endl;

//	Normalize a vector
	
	cout << endl << "Normalize v" << endl;
	v = v.normalize();
	cout << "v = " << v << endl;
	
	cout << endl << "Good-bye" << endl;
	
	return 0;
}