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Diffstat (limited to 'Eigen/Core/Dot.h')
| -rw-r--r-- | Eigen/Core/Dot.h | 97 |
1 files changed, 97 insertions, 0 deletions
diff --git a/Eigen/Core/Dot.h b/Eigen/Core/Dot.h new file mode 100644 index 000000000..1c0573a9a --- /dev/null +++ b/Eigen/Core/Dot.h @@ -0,0 +1,97 @@ +// 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 EIGEN_DOT_H +#define EIGEN_DOT_H + +template<int Index, int Size, typename Derived1, typename Derived2> +struct DotUnroller +{ + static void run(const Derived1 &v1, const Derived2& v2, typename Derived1::Scalar &dot) + { + DotUnroller<Index-1, Size, Derived1, Derived2>::run(v1, v2, dot); + dot += v1.coeff(Index) * conj(v2.coeff(Index)); + } +}; + +template<int Size, typename Derived1, typename Derived2> +struct DotUnroller<0, Size, Derived1, Derived2> +{ + static void run(const Derived1 &v1, const Derived2& v2, typename Derived1::Scalar &dot) + { + dot = v1.coeff(0) * conj(v2.coeff(0)); + } +}; + +template<int Index, typename Derived1, typename Derived2> +struct DotUnroller<Index, Dynamic, Derived1, Derived2> +{ + static void run(const Derived1&, const Derived2&, typename Derived1::Scalar&) {} +}; + +// prevent buggy user code from causing an infinite recursion +template<int Index, typename Derived1, typename Derived2> +struct DotUnroller<Index, 0, Derived1, Derived2> +{ + static void run(const Derived1&, const Derived2&, typename Derived1::Scalar&) {} +}; + +template<typename Scalar, typename Derived> +template<typename OtherDerived> +Scalar MatrixBase<Scalar, Derived>::dot(const OtherDerived& other) const +{ + assert(IsVector && OtherDerived::IsVector && size() == other.size()); + Scalar res; + if(EIGEN_UNROLLED_LOOPS && SizeAtCompileTime != Dynamic && SizeAtCompileTime <= 16) + DotUnroller<SizeAtCompileTime-1, SizeAtCompileTime, Derived, OtherDerived> + ::run(*static_cast<const Derived*>(this), other, res); + else + { + res = (*this).coeff(0) * conj(other.coeff(0)); + for(int i = 1; i < size(); i++) + res += (*this).coeff(i)* conj(other.coeff(i)); + } + return res; +} + +template<typename Scalar, typename Derived> +typename NumTraits<Scalar>::Real MatrixBase<Scalar, Derived>::norm2() const +{ + return real(dot(*this)); +} + +template<typename Scalar, typename Derived> +typename NumTraits<Scalar>::Real MatrixBase<Scalar, Derived>::norm() const +{ + return sqrt(norm2()); +} + +template<typename Scalar, typename Derived> +ScalarMultiple<Derived> MatrixBase<Scalar, Derived>::normalized() const +{ + return (*this) / norm(); +} + +#endif // EIGEN_DOT_H |