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97 lines
3.2 KiB
C++
97 lines
3.2 KiB
C++
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra. Eigen itself is part of the KDE project.
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//
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// Copyright (C) 2006-2007 Benoit Jacob <jacob@math.jussieu.fr>
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//
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// Eigen is free software; you can redistribute it and/or modify it under the
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// terms of the GNU General Public License as published by the Free Software
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// Foundation; either version 2 or (at your option) any later version.
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//
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// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
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// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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// FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
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// details.
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//
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// You should have received a copy of the GNU General Public License along
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// with Eigen; if not, write to the Free Software Foundation, Inc., 51
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// Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
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//
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// As a special exception, if other files instantiate templates or use macros
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// or functions from this file, or you compile this file and link it
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// with other works to produce a work based on this file, this file does not
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// by itself cause the resulting work to be covered by the GNU General Public
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// License. This exception does not invalidate any other reasons why a work
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// based on this file might be covered by the GNU General Public License.
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#ifndef EI_DOT_H
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#define EI_DOT_H
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template<int Index, int Size, typename Derived1, typename Derived2>
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struct DotUnroller
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{
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static void run(const Derived1 &v1, const Derived2& v2, typename Derived1::Scalar &dot)
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{
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DotUnroller<Index-1, Size, Derived1, Derived2>::run(v1, v2, dot);
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dot += v1[Index] * Conj(v2[Index]);
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}
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};
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template<int Size, typename Derived1, typename Derived2>
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struct DotUnroller<0, Size, Derived1, Derived2>
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{
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static void run(const Derived1 &v1, const Derived2& v2, typename Derived1::Scalar &dot)
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{
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dot = v1[0] * Conj(v2[0]);
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}
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};
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template<int Index, typename Derived1, typename Derived2>
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struct DotUnroller<Index, Dynamic, Derived1, Derived2>
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{
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static void run(const Derived1 &v1, const Derived2& v2, typename Derived1::Scalar &dot)
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{
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EI_UNUSED(v1);
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EI_UNUSED(v2);
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EI_UNUSED(dot);
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}
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};
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template<typename Scalar, typename Derived>
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template<typename OtherDerived>
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Scalar Object<Scalar, Derived>::dot(const OtherDerived& other) const
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{
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assert(IsVector && OtherDerived::IsVector && size() == other.size());
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Scalar res;
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if(SizeAtCompileTime != Dynamic && SizeAtCompileTime <= 16)
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DotUnroller<SizeAtCompileTime-1, SizeAtCompileTime, Derived, OtherDerived>
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::run(*static_cast<const Derived*>(this), other, res);
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else
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{
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res = (*this)[0] * Conj(other[0]);
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for(int i = 1; i < size(); i++)
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res += (*this)[i]* Conj(other[i]);
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}
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return res;
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}
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template<typename Scalar, typename Derived>
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typename NumTraits<Scalar>::Real Object<Scalar, Derived>::norm2() const
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{
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assert(IsVector);
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return Real(dot(*this));
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}
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template<typename Scalar, typename Derived>
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typename NumTraits<Scalar>::Real Object<Scalar, Derived>::norm() const
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{
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return NumTraits<typename NumTraits<Scalar>::Real>::sqrt(norm2());
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}
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template<typename Scalar, typename Derived>
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ScalarMultiple<Derived> Object<Scalar, Derived>::normalized() const
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{
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return (*this) / norm();
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}
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#endif // EI_DOT_H
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