///////////////////////////////////////////////////////////////////////////////
//
// vector.cpp
//
// Description
//      Classe définissant un vecteur.
//
// Copyright
//      Laboratoire LSIS
//      Equipe LXAO
//
// Historique
//      12/05/1999  Création par Sébastien Thon
//
///////////////////////////////////////////////////////////////////////////////



#include <math.h>
#include <stdio.h>
#include "vector.h"



double Vector::operator % ( const Vector& v ) const
{
	return x*v.x + y*v.y + z*v.z;
}



Vector Vector::operator ^ ( const Vector& v ) const
{
	return Vector( y*v.z-z*v.y, z*v.x-x*v.z, x*v.y-y*v.x );
}



void Vector::normalize()
{
    double	len = (double)sqrt( x*x + y*y + z*z );

	if( len == 0 )
	{
		x=0;
		y=0;
		z=0;
	}
	else
	{
		x/=len;
		y/=len;
		z/=len;
	}
}



Vector Vector::operator + ( const Vector& v ) const
{
	return Vector( x+v.x, y+v.y, z+v.z );
}



Vector Vector::operator + ( double d ) const
{
	return Vector( x+d, y+d, z+d );
}



Vector operator + ( const Vector& v1, const Vector& v2 )
{
	return Vector( v1.x+v2.x, v1.y+v2.y, v1.z+v2.z );
}



Vector Vector::operator - ( const Vector& v ) const
{
	return Vector( x-v.x, y-v.y, z-v.z );
}



Vector Vector::operator - ( double d ) const
{
	return Vector( x-d, y-d, z-d );
}



Vector operator - ( const Vector& v1, const Vector& v2 )
{
	return Vector( v1.x-v2.x, v1.y-v2.y, v1.z-v2.z );
}



Vector Vector::operator - () const
{
	return Vector( -x, -y, -z );
}



Vector Vector::operator * ( const Vector& v ) const
{
	return Vector( x*v.x, y*v.y, z*v.z );
}



Vector operator * ( const Vector& v1, const Vector& v2 )
{
	return Vector( v1.x*v2.x, v1.y*v2.y, v1.z*v2.z );
}



Vector Vector::operator * ( double d ) const
{
	return Vector( x*d, y*d, z*d );
}



Vector Vector::operator / ( double d ) const
{
	return Vector( x/d, y/d, z/d );
}



Vector Vector::operator / ( const Vector& v ) const
{
	return Vector( x/v.x, y/v.y, z/v.z );
}



Vector operator / ( const Vector& v1, const Vector& v2 )
{
	return Vector( v1.x/v2.x, v1.y/v2.y, v1.z/v2.z );
}



int Vector::operator == ( const Vector& v )
{
	return( (x == v.x) && (y == v.y) && (z == v.z) );
}



int Vector::operator != ( const Vector& v )
{
	return( (x != v.x) || (y != v.y) || (z != v.z) );
}



int Vector::operator > ( const Vector& v )
{
	return( (x > v.x) || (y > v.y) || (z > v.z) );
}



int Vector::operator < ( const Vector& v )
{
	return( (x < v.x) || (y < v.y) || (z < v.z) );
}



Vector& Vector::operator = ( const Vector& v )
{
	x = v.x;
	y = v.y;
	z = v.z;
	return *this;
}



Vector& Vector::operator += ( const Vector& v )
{
	x += v.x;
	y += v.y;
	z += v.z;
	return *this;
}



Vector& Vector::operator -= ( const Vector& v )
{
	x -= v.x;
	y -= v.y;
	z -= v.z;
	return *this;
}



Vector& Vector::operator += ( double d )
{
	x += d;
	y += d;
	z += d;
	return *this;
}



Vector& Vector::operator -= ( double d )
{
	x -= d;
	y -= d;
	z -= d;
	return *this;
}



Vector& Vector::operator *= ( double d )
{
	x *= d;
	y *= d;
	z *= d;
	return *this;
}



Vector& Vector::operator /= ( double d )
{
	x /= d;
	y /= d;
	z /= d;
	return *this;
}



double Vector::length() const
{
    return (double)sqrt( x*x + y*y + z*z );
}



double Vector::distance( const Vector& v ) const
{
    return (double)sqrt( (x-v.x)*(x-v.x) + (y-v.y)*(y-v.y) + (z-v.z)*(z-v.z) );
}



double Vector::distance( double _x, double _y, double _z ) const
{
    return (double)sqrt( (x-_x)*(x-_x) + (y-_y)*(y-_y) + (z-_z)*(z-_z) );
}



double Vector::distance_squared( const Vector& v ) const
{
	return (x-v.x)*(x-v.x) + (y-v.y)*(y-v.y) + (z-v.z)*(z-v.z);
}



double Vector::distance_squared( double _x, double _y, double _z ) const
{
	return (x-_x)*(x-_x) + (y-_y)*(y-_y) + (z-_z)*(z-_z);
}