/************************************************************************
*																		*
*	File:		vector3.h												*
*																		*
*	Author:		Robb T. Koether											*
*																		*
*	Date:		Sep 9, 2003												*
*																		*
*	Purpose:	This file contains the definition of the Vector3 class	*
*																		*
************************************************************************/

#ifndef VECTOR3_H
#define VECTOR3_H

//	Header files

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

using namespace std;

class Point3;

/************************************************************************
*																		*
*	The definition of the Vector3 class									*
*																		*
************************************************************************/

class Vector3
{
//	Public member functions

	public:
	
	//	Constructors
	
		Vector3() : x(0), y(0), z(0) {}
		Vector3(float xval, float yval, float zval)
			: x(xval), y(yval), z(zval) {}
	
	//	Mutators
	
		void set(float xval, float yval, float zval)
		{x = xval; y = yval; z = zval;}
	
	//	Other functions
	
		double length() {return sqrt(x*x + y*y + z*z);}
		
		Vector3 normalize()
		{
			float len = 1.0/length();
			x *= len;
			y *= len;
			z *= len;
			return *this;
		}
		
		void setDiff(const Point3& p, const Point3& q);
			
		void Output(ostream& out) const
		{
			out << "<" << x << ", " << y << ", " << z << ">";
		}
			
		float dot(const Vector3& v) {return x*v.x + y*v.y + z*v.z;}
		
		Vector3 cross(const Vector3& v)
		{
			Vector3 u;
			u.x = y * v.z - z * v.y;
			u.y = z * v.x - x * v.z;
			u.z = x * v.y - y * v.x;
			return u;
		}
		
		Vector3 operator-() const
			{return Vector3(-x, -y, -z);}
		
		Vector3 addV(const Vector3& v) const
			{return Vector3(x + v.x, y + v.y, z + v.z);}
		
		Vector3 subtractV(const Vector3& v) const
			{return Vector3(x - v.x, y - v.y, z - v.z);}
			
		Vector3 multiplyS(const double& s) const
			{return Vector3(s * x, s * y, s * z);}
		
		Point3 addP(const Point3& p) const;
		
//	Public data members

	public:
		float x;
		float y;
		float z;
};

//	Operators

ostream& operator<<(ostream& out, const Vector3& v);
Vector3 operator-(const Vector3& u, const Vector3& v);
Vector3 operator-(const Point3& p, const Point3& q);
Vector3 operator+(const Vector3& u, const Vector3& v);
Vector3 operator*(const double s, const Vector3& v);

Point3 operator+(const Vector3& v, const Point3& p);
Point3 operator+(const Vector3& v, const Point3& p);

#endif