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//#####################################################################
// Copyright 2002-2003, Geoffrey Irving
// This file is part of PhysBAM whose distribution is governed by the license contained in the accompanying file PHYSBAM_COPYRIGHT.txt.
//#####################################################################
// Class VECTOR_1D
//#####################################################################
#ifndef __VECTOR_1D__
#define __VECTOR_1D__
#include <iostream>
#include <assert.h>
#include <math.h>
#include "../Math_Tools/sqr.h"
#include "../Math_Tools/max.h"
#include "../Math_Tools/min.h"
#include "../Read_Write/READ_WRITE_FUNCTIONS.h"
namespace PhysBAM
{
template<class T>
class VECTOR_1D
{
public:
T x;
explicit VECTOR_1D (const T x_input = 0)
: x (x_input)
{}
template<class T2> VECTOR_1D (const VECTOR_1D<T2>& vector_input)
: x ( (T) vector_input.x)
{}
bool operator== (const VECTOR_1D<T>& v) const
{
return x == v.x;
}
bool operator!= (const VECTOR_1D<T>& v) const
{
return x != v.x;
}
VECTOR_1D<T> operator-() const
{
return VECTOR_1D<T> (-x);
}
VECTOR_1D<T>& operator+= (const VECTOR_1D<T>& v)
{
x += v.x;
return *this;
}
VECTOR_1D<T>& operator-= (const VECTOR_1D<T>& v)
{
x -= v.x;
return *this;
}
VECTOR_1D<T>& operator*= (const VECTOR_1D<T>& v)
{
x *= v.x;
return *this;
}
VECTOR_1D<T>& operator*= (const T a)
{
x *= a;
return *this;
}
VECTOR_1D<T>& operator/= (const T a)
{
assert (a != 0);
T one_over_a = 1 / a;
x *= one_over_a;
return *this;
}
VECTOR_1D<T>& operator/= (const VECTOR_1D<T>& v)
{
x /= v.x;
return *this;
}
VECTOR_1D<T> operator+ (const VECTOR_1D<T>& v) const
{
return VECTOR_1D<T> (x + v.x);
}
VECTOR_1D<T> operator- (const VECTOR_1D<T>& v) const
{
return VECTOR_1D<T> (x - v.x);
}
VECTOR_1D<T> operator* (const VECTOR_1D<T>& v) const
{
return VECTOR_1D<T> (x * v.x);
}
VECTOR_1D<T> operator/ (const VECTOR_1D<T>& v) const
{
return VECTOR_1D<T> (x / v.x);
}
VECTOR_1D<T> operator* (const T a) const
{
return VECTOR_1D<T> (a * x);
}
VECTOR_1D<T> operator/ (const T a) const
{
assert (a != 0);
T s = 1 / a;
return VECTOR_1D<T> (s * x);
}
VECTOR_1D<T> fabs() const
{
return VECTOR_1D<T> (fabs (x));
}
T Magnitude_Squared() const
{
return sqr (x);
}
T Magnitude() const
{
return sqrt (sqr (x));
}
T Normalize()
{
T magnitude = Magnitude();
assert (magnitude != 0);
T s = 1 / magnitude;
x *= s;
return magnitude;
}
VECTOR_1D Normalized() const
{
T magnitude = Magnitude();
assert (magnitude != 0);
T s = 1 / magnitude;
return VECTOR_1D (x * s);
}
T Min_Element() const
{
return x;
}
T Max_Element() const
{
return x;
}
static T Dot_Product (const VECTOR_1D<T>& v1, const VECTOR_1D<T>& v2)
{
return v1.x * v2.x;
}
VECTOR_1D<T> Projected_On_Unit_Direction (const VECTOR_1D<T>& direction) const
{
return Dot_Product (*this, direction) * direction;
}
VECTOR_1D<T> Projected (const VECTOR_1D<T>& direction) const // un-normalized direction
{
return Dot_Product (*this, direction) / Dot_Product (direction, direction) * direction;
}
void Project_On_Unit_Direction (const VECTOR_1D<T>& direction)
{
*this = Dot_Product (*this, direction) * direction;
}
void Project (const VECTOR_1D<T>& direction) // un-normalized direction
{
*this = Dot_Product (*this, direction) / Dot_Product (direction, direction) * direction;
}
void Print() const
{
std::cout << "VECTOR_1D: " << x << std::endl;
}
template<class RW>
void Read (std::istream& input_stream)
{
Read_Binary<RW> (input_stream, x);
}
template<class RW>
void Write (std::ostream& output_stream) const
{
Write_Binary<RW> (output_stream, x);
}
//#####################################################################
};
template<>
inline VECTOR_1D<int> VECTOR_1D<int>::operator/ (const int a) const
{
return VECTOR_1D<int> (x / a);
}
template<class T>
inline VECTOR_1D<T> operator* (const T a, const VECTOR_1D<T>& v)
{
return VECTOR_1D<T> (a * v.x);
}
template<class T>
inline std::istream& operator>> (std::istream& input_stream, VECTOR_1D<T>& v)
{
input_stream >> v.x;
return input_stream;
}
template<class T>
inline std::ostream& operator<< (std::ostream& output_stream, const VECTOR_1D<T>& v)
{
output_stream << v.x;
return output_stream;
}
}
#endif