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/*************************************************************************
* Copyright (C) 2010 Tavian Barnes <tavianator@gmail.com> *
* *
* This file is part of The vZ Library. *
* *
* The vZ Library is free software; you can redistribute it and/or *
* modify it under the terms of the GNU Lesser General Public License as *
* published by the Free Software Foundation; either version 3 of the *
* License, or (at your option) any later version. *
* *
* The vZ Library is distributed in the hope that it will be useful, but *
* WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU *
* Lesser General Public License for more details. *
* *
* You should have received a copy of the GNU Lesser General Public *
* License along with this program. If not, see *
* <http://www.gnu.org/licenses/>. *
*************************************************************************/
#ifndef VZ_VECTOR_HPP
#define VZ_VECTOR_HPP
#include <algorithm>
#include <cmath>
#include <cstddef>
#include <ostream>
namespace vZ
{
// An N-dimensional vector
template <std::size_t N, typename T = double>
class Vector
{
public:
typedef typename Traits<T>::Scalar Scalar;
Vector() { }
explicit Vector(T x) { m_values[0] = x; }
Vector(T x, T y) { m_values[0] = x; m_values[1] = y; }
Vector(T x, T y, T z) { m_values[0] = x; m_values[1] = y; m_values[2] = z; }
// Vector(const Vector& v);
// ~Vector();
// Vector& operator=(const Vector& v);
// Component access
T& operator[](std::size_t i) { return m_values[i]; }
const T& operator[](std::size_t i) const { return m_values[i]; }
T x() const { return m_values[0]; }
T y() const { return m_values[1]; }
T z() const { return m_values[2]; }
// Operators
inline Vector& operator+=(const Vector& rhs);
inline Vector& operator-=(const Vector& rhs);
inline Vector& operator*=(Scalar rhs);
inline Vector& operator/=(Scalar rhs);
private:
T m_values[N];
};
// Disallow 0-sized Vectors
template <typename T>
class Vector<0, T>;
// Traits specialization
template <std::size_t N, typename T>
class Traits<Vector<N, T> >
{
public:
typedef typename Traits<T>::Scalar Scalar;
private:
Traits();
};
// Unary operators
template <std::size_t N, typename T>
inline Vector<N, T>
operator+(const Vector<N, T>& rhs)
{
return rhs;
}
template <std::size_t N, typename T>
inline Vector<N, T>
operator-(const Vector<N, T>& rhs)
{
Vector<N, T> res;
for (std::size_t i = 0; i < N; ++i) {
res[i] = -rhs[i];
}
return res;
}
template <std::size_t N, typename T>
inline typename Vector<N, T>::Scalar
norm(const Vector<N, T>& v)
{
using std::sqrt;
return sqrt(dot(v, v));
}
template <std::size_t N, typename T>
inline typename Vector<N, T>::Scalar
abs(const Vector<N, T>& v)
{
return norm(v);
}
// Binary operators
template <std::size_t N, typename T>
inline Vector<N, T>
operator+(const Vector<N, T>& lhs, const Vector<N, T>& rhs)
{
Vector<N, T> res = lhs;
res += rhs;
return res;
}
template <std::size_t N, typename T>
inline Vector<N, T>
operator-(const Vector<N, T>& lhs, const Vector<N, T>& rhs)
{
Vector<N, T> res = lhs;
res -= rhs;
return res;
}
template <std::size_t N, typename T>
inline Vector<N, T>
operator*(typename Vector<N, T>::Scalar lhs,
const Vector<N, T>& rhs)
{
Vector<N, T> res = rhs;
res *= lhs;
return res;
}
template <std::size_t N, typename T>
inline Vector<N, T>
operator*(const Vector<N, T>& lhs,
typename Vector<N, T>::Scalar rhs)
{
Vector<N, T> res = lhs;
res *= rhs;
return res;
}
template <std::size_t N, typename T>
inline Vector<N, T>
operator/(const Vector<N, T>& lhs,
typename Vector<N, T>::Scalar rhs)
{
Vector<N, T> res = lhs;
res /= rhs;
return res;
}
template <std::size_t N, typename T>
inline typename Vector<N, T>::Scalar
dot(const Vector<N, T>& lhs, const Vector<N, T>& rhs)
{
typename Vector<N, T>::Scalar res(0);
for (std::size_t i = 0; i < N; ++i) {
res += lhs[i]*rhs[i];
}
return res;
}
template <typename T>
inline Vector<3, T>
cross(const Vector<3, T>& lhs, const Vector<3, T>& rhs)
{
return Vector<3, T>(lhs.y()*rhs.z() - lhs.z()*rhs.y(),
lhs.z()*rhs.x() - lhs.x()*rhs.z(),
lhs.x()*rhs.y() - lhs.y()*rhs.x());
}
// Stream output
template <std::size_t N, typename T>
std::ostream&
operator<<(std::ostream& ostr, const Vector<N, T>& v)
{
ostr << "(" << v[0];
for (std::size_t i = 1; i < N; ++i) {
ostr << ", " << v[i];
}
return ostr << ")";
}
// Implementation
template <std::size_t N, typename T>
inline Vector<N, T>&
Vector<N, T>::operator+=(const Vector<N, T>& rhs)
{
for (std::size_t i = 0; i < N; ++i) {
m_values[i] += rhs.m_values[i];
}
return *this;
}
template <std::size_t N, typename T>
inline Vector<N, T>&
Vector<N, T>::operator-=(const Vector<N, T>& rhs)
{
for (std::size_t i = 0; i < N; ++i) {
m_values[i] -= rhs.m_values[i];
}
return *this;
}
template <std::size_t N, typename T>
inline Vector<N, T>&
Vector<N, T>::operator*=(typename Vector<N, T>::Scalar rhs)
{
for (std::size_t i = 0; i < N; ++i) {
m_values[i] *= rhs;
}
return *this;
}
template <std::size_t N, typename T>
inline Vector<N, T>&
Vector<N, T>::operator/=(typename Vector<N, T>::Scalar rhs)
{
for (std::size_t i = 0; i < N; ++i) {
m_values[i] /= rhs;
}
return *this;
}
}
#endif // VZ_VECTOR_HPP
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