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Diffstat (limited to 'extern/Eigen3/Eigen/src/Eigen2Support/LU.h')
| -rw-r--r-- | extern/Eigen3/Eigen/src/Eigen2Support/LU.h | 133 |
1 files changed, 133 insertions, 0 deletions
diff --git a/extern/Eigen3/Eigen/src/Eigen2Support/LU.h b/extern/Eigen3/Eigen/src/Eigen2Support/LU.h new file mode 100644 index 00000000000..c23c11baa72 --- /dev/null +++ b/extern/Eigen3/Eigen/src/Eigen2Support/LU.h @@ -0,0 +1,133 @@ +// This file is part of Eigen, a lightweight C++ template library +// for linear algebra. +// +// Copyright (C) 2011 Benoit Jacob <jacob.benoit.1@gmail.com> +// +// Eigen is free software; you can redistribute it and/or +// modify it under the terms of the GNU Lesser General Public +// License as published by the Free Software Foundation; either +// version 3 of the License, or (at your option) any later version. +// +// Alternatively, 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 of +// the License, 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 Lesser General Public License or the +// GNU General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public +// License and a copy of the GNU General Public License along with +// Eigen. If not, see <http://www.gnu.org/licenses/>. + +#ifndef EIGEN2_LU_H +#define EIGEN2_LU_H + +template<typename MatrixType> +class LU : public FullPivLU<MatrixType> +{ + public: + + typedef typename MatrixType::Scalar Scalar; + typedef typename NumTraits<typename MatrixType::Scalar>::Real RealScalar; + typedef Matrix<int, 1, MatrixType::ColsAtCompileTime, MatrixType::Options, 1, MatrixType::MaxColsAtCompileTime> IntRowVectorType; + typedef Matrix<int, MatrixType::RowsAtCompileTime, 1, MatrixType::Options, MatrixType::MaxRowsAtCompileTime, 1> IntColVectorType; + typedef Matrix<Scalar, 1, MatrixType::ColsAtCompileTime, MatrixType::Options, 1, MatrixType::MaxColsAtCompileTime> RowVectorType; + typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1, MatrixType::Options, MatrixType::MaxRowsAtCompileTime, 1> ColVectorType; + + typedef Matrix<typename MatrixType::Scalar, + MatrixType::ColsAtCompileTime, // the number of rows in the "kernel matrix" is the number of cols of the original matrix + // so that the product "matrix * kernel = zero" makes sense + Dynamic, // we don't know at compile-time the dimension of the kernel + MatrixType::Options, + MatrixType::MaxColsAtCompileTime, // see explanation for 2nd template parameter + MatrixType::MaxColsAtCompileTime // the kernel is a subspace of the domain space, whose dimension is the number + // of columns of the original matrix + > KernelResultType; + + typedef Matrix<typename MatrixType::Scalar, + MatrixType::RowsAtCompileTime, // the image is a subspace of the destination space, whose dimension is the number + // of rows of the original matrix + Dynamic, // we don't know at compile time the dimension of the image (the rank) + MatrixType::Options, + MatrixType::MaxRowsAtCompileTime, // the image matrix will consist of columns from the original matrix, + MatrixType::MaxColsAtCompileTime // so it has the same number of rows and at most as many columns. + > ImageResultType; + + typedef FullPivLU<MatrixType> Base; + LU() : Base() {} + + template<typename T> + explicit LU(const T& t) : Base(t), m_originalMatrix(t) {} + + template<typename OtherDerived, typename ResultType> + bool solve(const MatrixBase<OtherDerived>& b, ResultType *result) const + { + *result = static_cast<const Base*>(this)->solve(b); + return true; + } + + template<typename ResultType> + inline void computeInverse(ResultType *result) const + { + solve(MatrixType::Identity(this->rows(), this->cols()), result); + } + + template<typename KernelMatrixType> + void computeKernel(KernelMatrixType *result) const + { + *result = static_cast<const Base*>(this)->kernel(); + } + + template<typename ImageMatrixType> + void computeImage(ImageMatrixType *result) const + { + *result = static_cast<const Base*>(this)->image(m_originalMatrix); + } + + const ImageResultType image() const + { + return static_cast<const Base*>(this)->image(m_originalMatrix); + } + + const MatrixType& m_originalMatrix; +}; + +#if EIGEN2_SUPPORT_STAGE < STAGE20_RESOLVE_API_CONFLICTS +/** \lu_module + * + * Synonym of partialPivLu(). + * + * \return the partial-pivoting LU decomposition of \c *this. + * + * \sa class PartialPivLU + */ +template<typename Derived> +inline const LU<typename MatrixBase<Derived>::PlainObject> +MatrixBase<Derived>::lu() const +{ + return LU<PlainObject>(eval()); +} +#endif + +#ifdef EIGEN2_SUPPORT +/** \lu_module + * + * Synonym of partialPivLu(). + * + * \return the partial-pivoting LU decomposition of \c *this. + * + * \sa class PartialPivLU + */ +template<typename Derived> +inline const LU<typename MatrixBase<Derived>::PlainObject> +MatrixBase<Derived>::eigen2_lu() const +{ + return LU<PlainObject>(eval()); +} +#endif + + +#endif // EIGEN2_LU_H |