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      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 2009 Benoit Jacob <jacob.benoit.1 (at) gmail.com>
      5 //
      6 // This Source Code Form is subject to the terms of the Mozilla
      7 // Public License v. 2.0. If a copy of the MPL was not distributed
      8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
      9 
     10 #ifndef EIGEN_MISC_KERNEL_H
     11 #define EIGEN_MISC_KERNEL_H
     12 
     13 namespace Eigen {
     14 
     15 namespace internal {
     16 
     17 /** \class kernel_retval_base
     18   *
     19   */
     20 template<typename DecompositionType>
     21 struct traits<kernel_retval_base<DecompositionType> >
     22 {
     23   typedef typename DecompositionType::MatrixType MatrixType;
     24   typedef Matrix<
     25     typename MatrixType::Scalar,
     26     MatrixType::ColsAtCompileTime, // the number of rows in the "kernel matrix"
     27                                    // is the number of cols of the original matrix
     28                                    // so that the product "matrix * kernel = zero" makes sense
     29     Dynamic,                       // we don't know at compile-time the dimension of the kernel
     30     MatrixType::Options,
     31     MatrixType::MaxColsAtCompileTime, // see explanation for 2nd template parameter
     32     MatrixType::MaxColsAtCompileTime // the kernel is a subspace of the domain space,
     33                                      // whose dimension is the number of columns of the original matrix
     34   > ReturnType;
     35 };
     36 
     37 template<typename _DecompositionType> struct kernel_retval_base
     38  : public ReturnByValue<kernel_retval_base<_DecompositionType> >
     39 {
     40   typedef _DecompositionType DecompositionType;
     41   typedef ReturnByValue<kernel_retval_base> Base;
     42   typedef typename Base::Index Index;
     43 
     44   kernel_retval_base(const DecompositionType& dec)
     45     : m_dec(dec),
     46       m_rank(dec.rank()),
     47       m_cols(m_rank==dec.cols() ? 1 : dec.cols() - m_rank)
     48   {}
     49 
     50   inline Index rows() const { return m_dec.cols(); }
     51   inline Index cols() const { return m_cols; }
     52   inline Index rank() const { return m_rank; }
     53   inline const DecompositionType& dec() const { return m_dec; }
     54 
     55   template<typename Dest> inline void evalTo(Dest& dst) const
     56   {
     57     static_cast<const kernel_retval<DecompositionType>*>(this)->evalTo(dst);
     58   }
     59 
     60   protected:
     61     const DecompositionType& m_dec;
     62     Index m_rank, m_cols;
     63 };
     64 
     65 } // end namespace internal
     66 
     67 #define EIGEN_MAKE_KERNEL_HELPERS(DecompositionType) \
     68   typedef typename DecompositionType::MatrixType MatrixType; \
     69   typedef typename MatrixType::Scalar Scalar; \
     70   typedef typename MatrixType::RealScalar RealScalar; \
     71   typedef typename MatrixType::Index Index; \
     72   typedef Eigen::internal::kernel_retval_base<DecompositionType> Base; \
     73   using Base::dec; \
     74   using Base::rank; \
     75   using Base::rows; \
     76   using Base::cols; \
     77   kernel_retval(const DecompositionType& dec) : Base(dec) {}
     78 
     79 } // end namespace Eigen
     80 
     81 #endif // EIGEN_MISC_KERNEL_H
     82