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@@ -355,10 +355,22 @@ template<typename ExpressionType, int Direction> class VectorwiseOp
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/////////// Artithmetic operators ///////////
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/** Copies the vector \a other to each subvector of \c *this */
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template<typename OtherDerived>
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ExpressionType& operator=(const MatrixBase<OtherDerived>& other)
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{
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EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
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//ei_assert((m_matrix.isNull()) == (other.isNull())); FIXME
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for(int j=0; j<subVectors(); ++j)
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subVector(j) = other;
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return const_cast<ExpressionType&>(m_matrix);
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}
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/** Adds the vector \a other to each subvector of \c *this */
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template<typename OtherDerived>
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ExpressionType& operator+=(const MatrixBase<OtherDerived>& other)
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{
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EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
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for(int j=0; j<subVectors(); ++j)
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subVector(j) += other;
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return const_cast<ExpressionType&>(m_matrix);
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@@ -368,6 +380,7 @@ template<typename ExpressionType, int Direction> class VectorwiseOp
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template<typename OtherDerived>
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ExpressionType& operator-=(const MatrixBase<OtherDerived>& other)
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{
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EIGEN_STATIC_ASSERT_VECTOR_ONLY(OtherDerived)
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for(int j=0; j<subVectors(); ++j)
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subVector(j) -= other;
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return const_cast<ExpressionType&>(m_matrix);
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@@ -412,8 +412,10 @@ template<typename Derived, typename OtherDerived,
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bool EvalBeforeAssigning = (int(OtherDerived::Flags) & EvalBeforeAssigningBit) != 0,
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bool NeedToTranspose = Derived::IsVectorAtCompileTime
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&& OtherDerived::IsVectorAtCompileTime
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&& int(Derived::RowsAtCompileTime) == int(OtherDerived::ColsAtCompileTime)
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&& int(Derived::ColsAtCompileTime) == int(OtherDerived::RowsAtCompileTime)
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&& ((int(Derived::RowsAtCompileTime) == 1 && int(OtherDerived::ColsAtCompileTime) == 1)
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| // FIXME | instead of || to please GCC 4.4.0 stupid warning "suggest parentheses around &&".
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// revert to || as soon as not needed anymore.
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(int(Derived::ColsAtCompileTime) == 1 && int(OtherDerived::RowsAtCompileTime) == 1))
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&& int(Derived::SizeAtCompileTime) != 1>
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struct ei_assign_selector;
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@@ -49,7 +49,7 @@ template<typename Derived>
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template<typename OtherDerived>
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bool MatrixBase<Derived>::isApprox(
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const MatrixBase<OtherDerived>& other,
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typename NumTraits<Scalar>::Real prec
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RealScalar prec
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) const
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{
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const typename ei_nested<Derived,2>::type nested(derived());
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@@ -73,7 +73,7 @@ bool MatrixBase<Derived>::isApprox(
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template<typename Derived>
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bool MatrixBase<Derived>::isMuchSmallerThan(
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const typename NumTraits<Scalar>::Real& other,
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typename NumTraits<Scalar>::Real prec
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RealScalar prec
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) const
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{
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return cwise().abs2().sum() <= prec * prec * other * other;
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@@ -93,7 +93,7 @@ template<typename Derived>
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template<typename OtherDerived>
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bool MatrixBase<Derived>::isMuchSmallerThan(
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const MatrixBase<OtherDerived>& other,
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typename NumTraits<Scalar>::Real prec
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RealScalar prec
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) const
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{
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return this->cwise().abs2().sum() <= prec * prec * other.cwise().abs2().sum();
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@@ -124,7 +124,7 @@ template<typename Derived>
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template<typename OtherDerived>
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bool MatrixBase<Derived>::isApprox(
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const MatrixBase<OtherDerived>& other,
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typename NumTraits<Scalar>::Real prec
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RealScalar prec
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) const
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{
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return ei_fuzzy_selector<Derived,OtherDerived>::isApprox(derived(), other.derived(), prec);
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@@ -143,7 +143,7 @@ bool MatrixBase<Derived>::isApprox(
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template<typename Derived>
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bool MatrixBase<Derived>::isMuchSmallerThan(
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const typename NumTraits<Scalar>::Real& other,
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typename NumTraits<Scalar>::Real prec
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RealScalar prec
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) const
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{
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return ei_fuzzy_selector<Derived>::isMuchSmallerThan(derived(), other, prec);
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@@ -163,7 +163,7 @@ template<typename Derived>
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template<typename OtherDerived>
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bool MatrixBase<Derived>::isMuchSmallerThan(
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const MatrixBase<OtherDerived>& other,
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typename NumTraits<Scalar>::Real prec
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RealScalar prec
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) const
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{
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return ei_fuzzy_selector<Derived,OtherDerived>::isMuchSmallerThan(derived(), other.derived(), prec);
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@@ -45,7 +45,7 @@ template<typename Derived> struct AnyMatrixBase
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inline int rows() const { return derived().rows(); }
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/** \returns the number of columns. \sa rows(), ColsAtCompileTime*/
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inline int cols() const { return derived().cols(); }
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template<typename Dest> inline void evalTo(Dest& dst) const
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{ derived().evalTo(dst); }
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@@ -765,6 +765,19 @@ template<typename Derived> class MatrixBase
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template<typename Derived1, typename Derived2>
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Derived& lazyAssign(const SparseProduct<Derived1,Derived2,DenseTimeSparseProduct>& product);
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////////// Householder module ///////////
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template<typename EssentialPart>
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void makeHouseholder(EssentialPart *essential,
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RealScalar *beta) const;
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template<typename EssentialPart>
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void applyHouseholderOnTheLeft(const EssentialPart& essential,
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const RealScalar& beta);
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template<typename EssentialPart>
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void applyHouseholderOnTheRight(const EssentialPart& essential,
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const RealScalar& beta);
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#ifdef EIGEN_MATRIXBASE_PLUGIN
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#include EIGEN_MATRIXBASE_PLUGIN
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#endif
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6
Eigen/src/Householder/CMakeLists.txt
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6
Eigen/src/Householder/CMakeLists.txt
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@@ -0,0 +1,6 @@
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FILE(GLOB Eigen_Householder_SRCS "*.h")
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INSTALL(FILES
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${Eigen_Householder_SRCS}
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DESTINATION ${INCLUDE_INSTALL_DIR}/Eigen/src/Householder COMPONENT Devel
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)
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88
Eigen/src/Householder/Householder.h
Normal file
88
Eigen/src/Householder/Householder.h
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@@ -0,0 +1,88 @@
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// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2009 Benoit Jacob <jacob.benoit.1@gmail.com>
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//
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// Eigen is free software; you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public
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// License as published by the Free Software Foundation; either
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// version 3 of the License, or (at your option) any later version.
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//
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// Alternatively, you can redistribute it and/or
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// modify it under the terms of the GNU General Public License as
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// published by the Free Software Foundation; either version 2 of
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// the License, 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 Lesser General Public License or the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public
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// License and a copy of the GNU General Public License along with
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// Eigen. If not, see <http://www.gnu.org/licenses/>.
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#ifndef EIGEN_HOUSEHOLDER_H
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#define EIGEN_HOUSEHOLDER_H
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template<int n> struct ei_decrement_size
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{
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enum {
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ret = (n==1 || n==Dynamic) ? n : n-1
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};
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};
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template<typename Derived>
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template<typename EssentialPart>
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void MatrixBase<Derived>::makeHouseholder(
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EssentialPart *essential,
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RealScalar *beta) const
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{
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EIGEN_STATIC_ASSERT_VECTOR_ONLY(EssentialPart)
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RealScalar _squaredNorm = squaredNorm();
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Scalar c0;
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if(ei_abs2(coeff(0)) <= ei_abs2(precision<Scalar>()) * _squaredNorm)
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{
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c0 = ei_sqrt(_squaredNorm);
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}
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else
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{
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Scalar sign = coeff(0) / ei_abs(coeff(0));
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c0 = coeff(0) + sign * ei_sqrt(_squaredNorm);
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}
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*essential = end(size()-1) / c0; // FIXME take advantage of fixed size
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const RealScalar c0abs2 = ei_abs2(c0);
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*beta = RealScalar(2) * c0abs2 / (c0abs2 + _squaredNorm - ei_abs2(coeff(0)));
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}
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template<typename Derived>
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template<typename EssentialPart>
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void MatrixBase<Derived>::applyHouseholderOnTheLeft(
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const EssentialPart& essential,
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const RealScalar& beta)
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{
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Matrix<Scalar, 1, ColsAtCompileTime, PlainMatrixType::Options, 1, MaxColsAtCompileTime> tmp(cols());
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tmp = row(0) + essential.adjoint() * block(1,0,rows()-1,cols());
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// FIXME take advantage of fixed size
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// FIXME play with lazy()
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// FIXME maybe not a good idea to use matrix product
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row(0) -= beta * tmp;
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block(1,0,rows()-1,cols()) -= beta * essential * tmp;
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}
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template<typename Derived>
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template<typename EssentialPart>
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void MatrixBase<Derived>::applyHouseholderOnTheRight(
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const EssentialPart& essential,
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const RealScalar& beta)
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{
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Matrix<Scalar, RowsAtCompileTime, 1, PlainMatrixType::Options, MaxRowsAtCompileTime, 1> tmp(rows());
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tmp = col(0) + block(0,1,rows(),cols()-1) * essential.conjugate();
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// FIXME take advantage of fixed size
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// FIXME play with lazy()
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// FIXME maybe not a good idea to use matrix product
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col(0) -= beta * tmp;
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block(0,1,rows(),cols()-1) -= beta * tmp * essential.transpose();
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}
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#endif // EIGEN_HOUSEHOLDER_H
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