ThreeVector.h

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/*  YAP - Yet another PWA toolkit
    Copyright 2015, Technische Universitaet Muenchen,
    Authors: Daniel Greenwald, Johannes Rauch

    This program is free software: you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.

    This program 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 General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with this program.  If not, see <http://www.gnu.org/licenses/>.
*/


#ifndef yap_ThreeVector_h
#define yap_ThreeVector_h

#include "fwd/ThreeVector.h"

#include "Matrix.h"
#include "Vector.h"

namespace yap {

template <typename T>
constexpr ThreeVector<T> cross(const ThreeVector<T>& A, const ThreeVector<T>& B) noexcept
{ return ThreeVector<T>({A[1]* B[2] - A[2]* B[1], A[2]* B[0] - A[0]* B[2], A[0]* B[1] - A[1]* B[0]}); }

template<typename T>
constexpr SquareMatrix<T, 3> skewSymmetric(const ThreeVector<T> V) noexcept
{
    return SquareMatrix<T, 3>({(T)0,  -V[2], +V[1],
                               +V[2],  (T)0, -V[0],
                               -V[1], +V[0],  (T)0
                              });
}

}
#endif