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When it's OnTheRight, we read householder vectors as rows above the diagonal. With unit test. The use case will be bidiagonalization.
159 lines
7.8 KiB
C++
159 lines
7.8 KiB
C++
// 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) 2007-2009 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_FORWARDDECLARATIONS_H
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#define EIGEN_FORWARDDECLARATIONS_H
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template<typename T> struct ei_traits;
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template<typename T> struct NumTraits;
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template<typename Derived> struct AnyMatrixBase;
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template<typename _Scalar, int _Rows, int _Cols,
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int _Options = EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION | AutoAlign,
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int _MaxRows = _Rows, int _MaxCols = _Cols> class Matrix;
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template<typename ExpressionType, unsigned int Added, unsigned int Removed> class Flagged;
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template<typename ExpressionType, template <typename> class StorageBase > class NoAlias;
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template<typename ExpressionType> class NestByValue;
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template<typename ExpressionType> class ForceAlignedAccess;
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template<typename ExpressionType> class SwapWrapper;
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template<typename MatrixType> class Minor;
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template<typename MatrixType, int BlockRows=Dynamic, int BlockCols=Dynamic,
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int _DirectAccessStatus = (ei_traits<MatrixType>::Flags&DirectAccessBit) ? HasDirectAccess : NoDirectAccess> class Block;
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template<typename MatrixType, int Size=Dynamic> class VectorBlock;
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template<typename MatrixType> class Transpose;
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template<typename MatrixType> class Conjugate;
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template<typename NullaryOp, typename MatrixType> class CwiseNullaryOp;
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template<typename UnaryOp, typename MatrixType> class CwiseUnaryOp;
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template<typename ViewOp, typename MatrixType> class CwiseUnaryView;
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template<typename BinaryOp, typename Lhs, typename Rhs> class CwiseBinaryOp;
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template<typename BinOp, typename MatrixType> class SelfCwiseBinaryOp;
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template<typename Derived, typename Lhs, typename Rhs> class ProductBase;
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template<typename Derived> class DiagonalBase;
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template<typename _DiagonalVectorType> class DiagonalWrapper;
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template<typename _Scalar, int SizeAtCompileTime, int MaxSizeAtCompileTime=SizeAtCompileTime> class DiagonalMatrix;
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template<typename MatrixType, typename DiagonalType, int ProductOrder> class DiagonalProduct;
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template<typename MatrixType, int Index> class Diagonal;
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template<typename MatrixType, int Options=Unaligned> class Map;
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template<typename Derived> class TriangularBase;
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template<typename MatrixType, unsigned int Mode> class TriangularView;
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template<typename MatrixType, unsigned int Mode> class SelfAdjointView;
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template<typename ExpressionType> class WithFormat;
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template<typename MatrixType> struct CommaInitializer;
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template<typename Derived> class ReturnByValue;
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template<typename ExpressionType> class ArrayWrapper;
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template<typename DecompositionType, typename Rhs> struct ei_solve_retval_base;
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template<typename DecompositionType, typename Rhs> struct ei_solve_retval;
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template<typename DecompositionType> struct ei_kernel_retval_base;
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template<typename DecompositionType> struct ei_kernel_retval;
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template<typename DecompositionType> struct ei_image_retval_base;
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template<typename DecompositionType> struct ei_image_retval;
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template<typename _Scalar, int Rows=Dynamic, int Cols=Dynamic, int Supers=Dynamic, int Subs=Dynamic, int Options=0> class BandMatrix;
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template<typename Lhs, typename Rhs> struct ei_product_type;
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template<typename Lhs, typename Rhs,
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int ProductType = ei_product_type<Lhs,Rhs>::value>
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struct ProductReturnType;
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template<typename Scalar> struct ei_scalar_sum_op;
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template<typename Scalar> struct ei_scalar_difference_op;
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template<typename Scalar> struct ei_scalar_product_op;
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template<typename Scalar> struct ei_scalar_quotient_op;
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template<typename Scalar> struct ei_scalar_opposite_op;
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template<typename Scalar> struct ei_scalar_conjugate_op;
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template<typename Scalar> struct ei_scalar_real_op;
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template<typename Scalar> struct ei_scalar_imag_op;
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template<typename Scalar> struct ei_scalar_abs_op;
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template<typename Scalar> struct ei_scalar_abs2_op;
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template<typename Scalar> struct ei_scalar_sqrt_op;
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template<typename Scalar> struct ei_scalar_exp_op;
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template<typename Scalar> struct ei_scalar_log_op;
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template<typename Scalar> struct ei_scalar_cos_op;
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template<typename Scalar> struct ei_scalar_sin_op;
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template<typename Scalar> struct ei_scalar_pow_op;
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template<typename Scalar> struct ei_scalar_inverse_op;
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template<typename Scalar> struct ei_scalar_square_op;
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template<typename Scalar> struct ei_scalar_cube_op;
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template<typename Scalar, typename NewType> struct ei_scalar_cast_op;
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template<typename Scalar> struct ei_scalar_multiple_op;
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template<typename Scalar> struct ei_scalar_quotient1_op;
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template<typename Scalar> struct ei_scalar_min_op;
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template<typename Scalar> struct ei_scalar_max_op;
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template<typename Scalar> struct ei_scalar_random_op;
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template<typename Scalar> struct ei_scalar_add_op;
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template<typename Scalar> struct ei_scalar_constant_op;
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template<typename Scalar> struct ei_scalar_identity_op;
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template<typename Scalar1,typename Scalar2> struct ei_scalar_multiple2_op;
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struct IOFormat;
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// Array module
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template<typename _Scalar, int _Rows, int _Cols,
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int _Options = EIGEN_DEFAULT_MATRIX_STORAGE_ORDER_OPTION | AutoAlign,
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int _MaxRows = _Rows, int _MaxCols = _Cols> class Array;
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template<typename ConditionMatrixType, typename ThenMatrixType, typename ElseMatrixType> class Select;
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template<typename MatrixType, typename BinaryOp, int Direction> class PartialReduxExpr;
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template<typename ExpressionType, int Direction> class VectorwiseOp;
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template<typename MatrixType,int RowFactor,int ColFactor> class Replicate;
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template<typename MatrixType, int Direction = BothDirections> class Reverse;
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template<typename MatrixType> class FullPivLU;
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template<typename MatrixType> class PartialPivLU;
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template<typename MatrixType> struct ei_inverse_impl;
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template<typename MatrixType> class HouseholderQR;
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template<typename MatrixType> class ColPivHouseholderQR;
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template<typename MatrixType> class FullPivHouseholderQR;
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template<typename MatrixType> class SVD;
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template<typename MatrixType, unsigned int Options = 0> class JacobiSVD;
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template<typename MatrixType, int UpLo = Lower> class LLT;
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template<typename MatrixType> class LDLT;
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template<typename VectorsType, typename CoeffsType, int Side=OnTheLeft> class HouseholderSequence;
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template<typename Scalar> class PlanarRotation;
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// Geometry module:
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template<typename Derived, int _Dim> class RotationBase;
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template<typename Lhs, typename Rhs> class Cross;
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template<typename Derived> class QuaternionBase;
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template<typename Scalar> class Quaternion;
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template<typename Scalar> class Rotation2D;
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template<typename Scalar> class AngleAxis;
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template<typename Scalar,int Dim,int Mode=Affine> class Transform;
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template <typename _Scalar, int _AmbientDim> class ParametrizedLine;
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template <typename _Scalar, int _AmbientDim> class Hyperplane;
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template<typename Scalar,int Dim> class Translation;
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template<typename Scalar> class UniformScaling;
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template<typename MatrixType,int Direction> class Homogeneous;
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#ifdef EIGEN2_SUPPORT
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template<typename ExpressionType> class Cwise;
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#endif
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#endif // EIGEN_FORWARDDECLARATIONS_H
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