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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra. Eigen itself is part of the KDE project.
//
// Copyright (C) 2006-2007 Benoit Jacob <jacob@math.jussieu.fr>
//
// Eigen 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 2 or (at your option) any later version.
//
// Eigen 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 Eigen; if not, write to the Free Software Foundation, Inc., 51
// Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
//
// As a special exception, if other files instantiate templates or use macros
// or functions from this file, or you compile this file and link it
// with other works to produce a work based on this file, this file does not
// by itself cause the resulting work to be covered by the GNU General Public
// License. This exception does not invalidate any other reasons why a work
// based on this file might be covered by the GNU General Public License.
#ifndef EI_DOT_H
#define EI_DOT_H
template<int Index, int Size, typename Derived1, typename Derived2>
struct EiDotUnroller
{
static void run(const Derived1 &v1, const Derived2& v2, typename Derived1::Scalar &dot)
{
EiDotUnroller<Index-1, Size, Derived1, Derived2>::run(v1, v2, dot);
dot += v1[Index] * EiConj(v2[Index]);
}
};
template<int Size, typename Derived1, typename Derived2>
struct EiDotUnroller<0, Size, Derived1, Derived2>
{
static void run(const Derived1 &v1, const Derived2& v2, typename Derived1::Scalar &dot)
{
dot = v1[0] * EiConj(v2[0]);
}
};
template<int Index, typename Derived1, typename Derived2>
struct EiDotUnroller<Index, EiDynamic, Derived1, Derived2>
{
static void run(const Derived1 &v1, const Derived2& v2, typename Derived1::Scalar &dot)
{
EI_UNUSED(v1);
EI_UNUSED(v2);
EI_UNUSED(dot);
}
};
template<typename Scalar, typename Derived>
template<typename OtherDerived>
Scalar EiObject<Scalar, Derived>::dot(const OtherDerived& other) const
{
assert(IsVector && OtherDerived::IsVector && size() == other.size());
Scalar res;
if(SizeAtCompileTime != EiDynamic && SizeAtCompileTime <= 16)
EiDotUnroller<SizeAtCompileTime-1, SizeAtCompileTime, Derived, OtherDerived>
::run(*static_cast<const Derived*>(this), other, res);
else
{
res = (*this)[0] * EiConj(other[0]);
for(int i = 1; i < size(); i++)
res += (*this)[i]* EiConj(other[i]);
}
return res;
}
template<typename Scalar, typename Derived>
typename EiNumTraits<Scalar>::Real EiObject<Scalar, Derived>::norm2() const
{
assert(IsVector);
return EiReal(dot(*this));
}
template<typename Scalar, typename Derived>
typename EiNumTraits<Scalar>::Real EiObject<Scalar, Derived>::norm() const
{
return EiSqrt(norm2());
}
template<typename Scalar, typename Derived>
EiScalarProduct<Derived> EiObject<Scalar, Derived>::normalized() const
{
return (*this) / norm();
}
#endif // EI_DOT_H
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