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-// This file is part of Eigen, a lightweight C++ template library
-// for linear algebra.
-//
-// Copyright (C) 2008 Gael Guennebaud <g.gael@free.fr>
-//
-// 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 EIGEN_RANDOMSETTER_H
-#define EIGEN_RANDOMSETTER_H
-
-/** Represents a std::map
- *
- * \see RandomSetter
- */
-template<typename Scalar> struct StdMapTraits
-{
- typedef int KeyType;
- typedef std::map<KeyType,Scalar> Type;
- enum {
- IsSorted = 1
- };
-
- static void setInvalidKey(Type&, const KeyType&) {}
-};
-
-#ifdef EIGEN_UNORDERED_MAP_SUPPORT
-/** Represents a std::unordered_map
- *
- * To use it you need to both define EIGEN_UNORDERED_MAP_SUPPORT and include the unordered_map header file
- * yourself making sure that unordered_map is defined in the std namespace.
- *
- * For instance, with current version of gcc you can either enable C++0x standard (-std=c++0x) or do:
- * \code
- * #include <tr1/unordered_map>
- * #define EIGEN_UNORDERED_MAP_SUPPORT
- * namespace std {
- * using std::tr1::unordered_map;
- * }
- * \endcode
- *
- * \see RandomSetter
- */
-template<typename Scalar> struct StdUnorderedMapTraits
-{
- typedef int KeyType;
- typedef std::unordered_map<KeyType,Scalar> Type;
- enum {
- IsSorted = 0
- };
-
- static void setInvalidKey(Type&, const KeyType&) {}
-};
-#endif // EIGEN_UNORDERED_MAP_SUPPORT
-
-#ifdef _DENSE_HASH_MAP_H_
-/** Represents a google::dense_hash_map
- *
- * \see RandomSetter
- */
-template<typename Scalar> struct GoogleDenseHashMapTraits
-{
- typedef int KeyType;
- typedef google::dense_hash_map<KeyType,Scalar> Type;
- enum {
- IsSorted = 0
- };
-
- static void setInvalidKey(Type& map, const KeyType& k)
- { map.set_empty_key(k); }
-};
-#endif
-
-#ifdef _SPARSE_HASH_MAP_H_
-/** Represents a google::sparse_hash_map
- *
- * \see RandomSetter
- */
-template<typename Scalar> struct GoogleSparseHashMapTraits
-{
- typedef int KeyType;
- typedef google::sparse_hash_map<KeyType,Scalar> Type;
- enum {
- IsSorted = 0
- };
-
- static void setInvalidKey(Type&, const KeyType&) {}
-};
-#endif
-
-/** \class RandomSetter
- *
- * \brief The RandomSetter is a wrapper object allowing to set/update a sparse matrix with random access
- *
- * \param SparseMatrixType the type of the sparse matrix we are updating
- * \param MapTraits a traits class representing the map implementation used for the temporary sparse storage.
- * Its default value depends on the system.
- * \param OuterPacketBits defines the number of rows (or columns) manage by a single map object
- * as a power of two exponent.
- *
- * This class temporarily represents a sparse matrix object using a generic map implementation allowing for
- * efficient random access. The conversion from the compressed representation to a hash_map object is performed
- * in the RandomSetter constructor, while the sparse matrix is updated back at destruction time. This strategy
- * suggest the use of nested blocks as in this example:
- *
- * \code
- * SparseMatrix<double> m(rows,cols);
- * {
- * RandomSetter<SparseMatrix<double> > w(m);
- * // don't use m but w instead with read/write random access to the coefficients:
- * for(;;)
- * w(rand(),rand()) = rand;
- * }
- * // when w is deleted, the data are copied back to m
- * // and m is ready to use.
- * \endcode
- *
- * Since hash_map objects are not fully sorted, representing a full matrix as a single hash_map would
- * involve a big and costly sort to update the compressed matrix back. To overcome this issue, a RandomSetter
- * use multiple hash_map, each representing 2^OuterPacketBits columns or rows according to the storage order.
- * To reach optimal performance, this value should be adjusted according to the average number of nonzeros
- * per rows/columns.
- *
- * The possible values for the template parameter MapTraits are:
- * - \b StdMapTraits: corresponds to std::map. (does not perform very well)
- * - \b GnuHashMapTraits: corresponds to __gnu_cxx::hash_map (available only with GCC)
- * - \b GoogleDenseHashMapTraits: corresponds to google::dense_hash_map (best efficiency, reasonable memory consumption)
- * - \b GoogleSparseHashMapTraits: corresponds to google::sparse_hash_map (best memory consumption, relatively good performance)
- *
- * The default map implementation depends on the availability, and the preferred order is:
- * GoogleSparseHashMapTraits, GnuHashMapTraits, and finally StdMapTraits.
- *
- * For performance and memory consumption reasons it is highly recommended to use one of
- * the Google's hash_map implementation. To enable the support for them, you have two options:
- * - \#include <google/dense_hash_map> yourself \b before Eigen/Sparse header
- * - define EIGEN_GOOGLEHASH_SUPPORT
- * In the later case the inclusion of <google/dense_hash_map> is made for you.
- *
- * \see http://code.google.com/p/google-sparsehash/
- */
-template<typename SparseMatrixType,
- template <typename T> class MapTraits =
-#if defined _DENSE_HASH_MAP_H_
- GoogleDenseHashMapTraits
-#elif defined _HASH_MAP
- GnuHashMapTraits
-#else
- StdMapTraits
-#endif
- ,int OuterPacketBits = 6>
-class RandomSetter
-{
- typedef typename SparseMatrixType::Scalar Scalar;
- typedef typename SparseMatrixType::Index Index;
-
- struct ScalarWrapper
- {
- ScalarWrapper() : value(0) {}
- Scalar value;
- };
- typedef typename MapTraits<ScalarWrapper>::KeyType KeyType;
- typedef typename MapTraits<ScalarWrapper>::Type HashMapType;
- static const int OuterPacketMask = (1 << OuterPacketBits) - 1;
- enum {
- SwapStorage = 1 - MapTraits<ScalarWrapper>::IsSorted,
- TargetRowMajor = (SparseMatrixType::Flags & RowMajorBit) ? 1 : 0,
- SetterRowMajor = SwapStorage ? 1-TargetRowMajor : TargetRowMajor,
- IsUpper = SparseMatrixType::Flags & Upper,
- IsLower = SparseMatrixType::Flags & Lower
- };
-
- public:
-
- /** Constructs a random setter object from the sparse matrix \a target
- *
- * Note that the initial value of \a target are imported. If you want to re-set
- * a sparse matrix from scratch, then you must set it to zero first using the
- * setZero() function.
- */
- inline RandomSetter(SparseMatrixType& target)
- : mp_target(&target)
- {
- const Index outerSize = SwapStorage ? target.innerSize() : target.outerSize();
- const Index innerSize = SwapStorage ? target.outerSize() : target.innerSize();
- m_outerPackets = outerSize >> OuterPacketBits;
- if (outerSize&OuterPacketMask)
- m_outerPackets += 1;
- m_hashmaps = new HashMapType[m_outerPackets];
- // compute number of bits needed to store inner indices
- Index aux = innerSize - 1;
- m_keyBitsOffset = 0;
- while (aux)
- {
- ++m_keyBitsOffset;
- aux = aux >> 1;
- }
- KeyType ik = (1<<(OuterPacketBits+m_keyBitsOffset));
- for (Index k=0; k<m_outerPackets; ++k)
- MapTraits<ScalarWrapper>::setInvalidKey(m_hashmaps[k],ik);
-
- // insert current coeffs
- for (Index j=0; j<mp_target->outerSize(); ++j)
- for (typename SparseMatrixType::InnerIterator it(*mp_target,j); it; ++it)
- (*this)(TargetRowMajor?j:it.index(), TargetRowMajor?it.index():j) = it.value();
- }
-
- /** Destructor updating back the sparse matrix target */
- ~RandomSetter()
- {
- KeyType keyBitsMask = (1<<m_keyBitsOffset)-1;
- if (!SwapStorage) // also means the map is sorted
- {
- mp_target->setZero();
- mp_target->reserve(nonZeros());
- Index prevOuter = -1;
- for (Index k=0; k<m_outerPackets; ++k)
- {
- const Index outerOffset = (1<<OuterPacketBits) * k;
- typename HashMapType::iterator end = m_hashmaps[k].end();
- for (typename HashMapType::iterator it = m_hashmaps[k].begin(); it!=end; ++it)
- {
- const Index outer = (it->first >> m_keyBitsOffset) + outerOffset;
- const Index inner = it->first & keyBitsMask;
- if (prevOuter!=outer)
- {
- for (Index j=prevOuter+1;j<=outer;++j)
- mp_target->startVec(j);
- prevOuter = outer;
- }
- mp_target->insertBackByOuterInner(outer, inner) = it->second.value;
- }
- }
- mp_target->finalize();
- }
- else
- {
- VectorXi positions(mp_target->outerSize());
- positions.setZero();
- // pass 1
- for (Index k=0; k<m_outerPackets; ++k)
- {
- typename HashMapType::iterator end = m_hashmaps[k].end();
- for (typename HashMapType::iterator it = m_hashmaps[k].begin(); it!=end; ++it)
- {
- const Index outer = it->first & keyBitsMask;
- ++positions[outer];
- }
- }
- // prefix sum
- Index count = 0;
- for (Index j=0; j<mp_target->outerSize(); ++j)
- {
- Index tmp = positions[j];
- mp_target->_outerIndexPtr()[j] = count;
- positions[j] = count;
- count += tmp;
- }
- mp_target->_outerIndexPtr()[mp_target->outerSize()] = count;
- mp_target->resizeNonZeros(count);
- // pass 2
- for (Index k=0; k<m_outerPackets; ++k)
- {
- const Index outerOffset = (1<<OuterPacketBits) * k;
- typename HashMapType::iterator end = m_hashmaps[k].end();
- for (typename HashMapType::iterator it = m_hashmaps[k].begin(); it!=end; ++it)
- {
- const Index inner = (it->first >> m_keyBitsOffset) + outerOffset;
- const Index outer = it->first & keyBitsMask;
- // sorted insertion
- // Note that we have to deal with at most 2^OuterPacketBits unsorted coefficients,
- // moreover those 2^OuterPacketBits coeffs are likely to be sparse, an so only a
- // small fraction of them have to be sorted, whence the following simple procedure:
- Index posStart = mp_target->_outerIndexPtr()[outer];
- Index i = (positions[outer]++) - 1;
- while ( (i >= posStart) && (mp_target->_innerIndexPtr()[i] > inner) )
- {
- mp_target->_valuePtr()[i+1] = mp_target->_valuePtr()[i];
- mp_target->_innerIndexPtr()[i+1] = mp_target->_innerIndexPtr()[i];
- --i;
- }
- mp_target->_innerIndexPtr()[i+1] = inner;
- mp_target->_valuePtr()[i+1] = it->second.value;
- }
- }
- }
- delete[] m_hashmaps;
- }
-
- /** \returns a reference to the coefficient at given coordinates \a row, \a col */
- Scalar& operator() (Index row, Index col)
- {
- ei_assert(((!IsUpper) || (row<=col)) && "Invalid access to an upper triangular matrix");
- ei_assert(((!IsLower) || (col<=row)) && "Invalid access to an upper triangular matrix");
- const Index outer = SetterRowMajor ? row : col;
- const Index inner = SetterRowMajor ? col : row;
- const Index outerMajor = outer >> OuterPacketBits; // index of the packet/map
- const Index outerMinor = outer & OuterPacketMask; // index of the inner vector in the packet
- const KeyType key = (KeyType(outerMinor)<<m_keyBitsOffset) | inner;
- return m_hashmaps[outerMajor][key].value;
- }
-
- /** \returns the number of non zero coefficients
- *
- * \note According to the underlying map/hash_map implementation,
- * this function might be quite expensive.
- */
- Index nonZeros() const
- {
- Index nz = 0;
- for (Index k=0; k<m_outerPackets; ++k)
- nz += static_cast<Index>(m_hashmaps[k].size());
- return nz;
- }
-
-
- protected:
-
- HashMapType* m_hashmaps;
- SparseMatrixType* mp_target;
- Index m_outerPackets;
- unsigned char m_keyBitsOffset;
-};
-
-#endif // EIGEN_RANDOMSETTER_H