matrixutils.hh

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// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
// vi: set et ts=4 sw=2 sts=2:
#ifndef DUNE_MATRIX_UTILS_HH
#define DUNE_MATRIX_UTILS_HH
 
#include <set>
#include <vector>
#include <limits>
#include <dune/common/typetraits.hh>
#include <dune/common/static_assert.hh>
#include <dune/common/fmatrix.hh>
#include <dune/common/diagonalmatrix.hh>
#include <dune/common/unused.hh>
#include <dune/istl/scaledidmatrix.hh>
#include "istlexception.hh"
 
namespace Dune
{
 
#ifndef DOYXGEN
  template<typename B, typename A>
  class BCRSMatrix;
 
  template<typename K, int n, int m>
  class FieldMatrix;
 
  template<class T, class A>
  class Matrix;
#endif
 
  namespace
  {
 
    template<int i>
    struct NonZeroCounter
    {
      template<class M>
      static typename M::size_type count(const M& matrix)
      {
        typedef typename M::ConstRowIterator RowIterator;
 
        RowIterator endRow = matrix.end();
        typename M::size_type nonZeros = 0;
 
        for(RowIterator row = matrix.begin(); row != endRow; ++row) {
          typedef typename M::ConstColIterator Entry;
          Entry endEntry = row->end();
          for(Entry entry = row->begin(); entry != endEntry; ++entry) {
            nonZeros += NonZeroCounter<i-1>::count(*entry);
          }
        }
        return nonZeros;
      }
    };
 
    template<>
    struct NonZeroCounter<1>
    {
      template<class M>
      static typename M::size_type count(const M& matrix)
      {
        return matrix.N()*matrix.M();
      }
    };
 
  }
 
  template<class Matrix, std::size_t blocklevel, std::size_t l=blocklevel>
  struct CheckIfDiagonalPresent
  {
    static void check(const Matrix& mat)
    {
      DUNE_UNUSED_PARAMETER(mat);
#ifdef DUNE_ISTL_WITH_CHECKING
      typedef typename Matrix::ConstRowIterator Row;
      typedef typename Matrix::ConstColIterator Entry;
      for(Row row = mat.begin(); row!=mat.end(); ++row) {
        Entry diagonal = row->find(row.index());
        if(diagonal==row->end())
          DUNE_THROW(ISTLError, "Missing diagonal value in row "<<row.index()
                                                                <<" at block recursion level "<<l-blocklevel);
        else
          CheckIfDiagonalPresent<typename Matrix::block_type,blocklevel-1,l>::check(*diagonal);
      }
#endif
    }
  };
 
  template<class Matrix, std::size_t l>
  struct CheckIfDiagonalPresent<Matrix,0,l>
  {
    static void check(const Matrix& mat)
    {
      typedef typename Matrix::ConstRowIterator Row;
      for(Row row = mat.begin(); row!=mat.end(); ++row) {
        if(row->find(row.index())==row->end())
          DUNE_THROW(ISTLError, "Missing diagonal value in row "<<row.index()
                                                                <<" at block recursion level "<<l);
      }
    }
  };
 
  template<typename T1, typename T2, typename T3, typename T4, typename T5,
      typename T6, typename T7, typename T8, typename T9>
  class MultiTypeBlockMatrix;
 
  template<typename T1, typename T2, typename T3, typename T4, typename T5,
      typename T6, typename T7, typename T8, typename T9, std::size_t blocklevel, std::size_t l>
  struct CheckIfDiagonalPresent<MultiTypeBlockMatrix<T1,T2,T3,T4,T5,T6,T7,T8,T9>,
      blocklevel,l>
  {
    typedef MultiTypeBlockMatrix<T1,T2,T3,T4,T5,T6,T7,T8,T9> Matrix;
 
    static void check(const Matrix& mat)
    {
#ifdef DUNE_ISTL_WITH_CHECKING
      // TODO Implement check
#endif
    }
  };
 
  template<class M>
  inline int countNonZeros(const M& matrix)
  {
    return NonZeroCounter<M::blocklevel>::count(matrix);
  }
  /*
     template<class M>
     struct ProcessOnFieldsOfMatrix
   */
 
  namespace
  {
    struct CompPair {
      template<class G,class M>
      bool operator()(const std::pair<G,M>& p1, const std::pair<G,M>& p2)
      {
        return p1.first<p2.first;
      }
    };
 
  }
  template<class M, class C>
  void printGlobalSparseMatrix(const M& mat, C& ooc, std::ostream& os)
  {
    typedef typename C::ParallelIndexSet::const_iterator IIter;
    typedef typename C::OwnerSet OwnerSet;
    typedef typename C::ParallelIndexSet::GlobalIndex GlobalIndex;
 
    GlobalIndex gmax=0;
 
    for(IIter idx=ooc.indexSet().begin(), eidx=ooc.indexSet().end();
        idx!=eidx; ++idx)
      gmax=std::max(gmax,idx->global());
 
    gmax=ooc.communicator().max(gmax);
    ooc.buildGlobalLookup();
 
    for(IIter idx=ooc.indexSet().begin(), eidx=ooc.indexSet().end();
        idx!=eidx; ++idx) {
      if(OwnerSet::contains(idx->local().attribute()))
      {
        typedef typename  M::block_type Block;
 
        std::set<std::pair<GlobalIndex,Block>,CompPair> entries;
 
        // sort rows
        typedef typename M::ConstColIterator CIter;
        for(CIter c=mat[idx->local()].begin(), cend=mat[idx->local()].end();
            c!=cend; ++c) {
          const typename C::ParallelIndexSet::IndexPair* pair
            =ooc.globalLookup().pair(c.index());
          assert(pair);
          entries.insert(std::make_pair(pair->global(), *c));
        }
 
        //wait until its the rows turn.
        GlobalIndex rowidx = idx->global();
        GlobalIndex cur=std::numeric_limits<GlobalIndex>::max();
        while(cur!=rowidx)
          cur=ooc.communicator().min(rowidx);
 
        // print rows
        typedef typename std::set<std::pair<GlobalIndex,Block>,CompPair>::iterator SIter;
        for(SIter s=entries.begin(), send=entries.end(); s!=send; ++s)
          os<<idx->global()<<" "<<s->first<<" "<<s->second<<std::endl;
 
 
      }
    }
 
    ooc.freeGlobalLookup();
    // Wait until everybody is finished
    GlobalIndex cur=std::numeric_limits<GlobalIndex>::max();
    while(cur!=ooc.communicator().min(cur)) ;
  }
 
  template<typename M>
  struct MatrixDimension
  {};
 
 
  template<typename B, typename TA>
  struct MatrixDimension<BCRSMatrix<B,TA> >
  {
    typedef BCRSMatrix<B,TA> Matrix;
    typedef typename Matrix::block_type block_type;
    typedef typename Matrix::size_type size_type;
 
    static size_type rowdim (const Matrix& A, size_type i)
    {
      const B* row = A.r[i].getptr();
      if(row)
        return MatrixDimension<block_type>::rowdim(*row);
      else
        return 0;
    }
 
    static size_type coldim (const Matrix& A, size_type c)
    {
      // find an entry in column c
      if (A.nnz>0)
      {
        for (size_type k=0; k<A.nnz; k++) {
          if (A.j.get()[k]==c) {
            return MatrixDimension<block_type>::coldim(A.a[k]);
          }
        }
      }
      else
      {
        for (size_type i=0; i<A.N(); i++)
        {
          size_type* j = A.r[i].getindexptr();
          B*   a = A.r[i].getptr();
          for (size_type k=0; k<A.r[i].getsize(); k++)
            if (j[k]==c) {
              return MatrixDimension<block_type>::coldim(a[k]);
            }
        }
      }
 
      // not found
      return 0;
    }
 
    static size_type rowdim (const Matrix& A){
      size_type nn=0;
      for (size_type i=0; i<A.N(); i++)
        nn += rowdim(A,i);
      return nn;
    }
 
    static size_type coldim (const Matrix& A){
      typedef typename Matrix::ConstRowIterator ConstRowIterator;
      typedef typename Matrix::ConstColIterator ConstColIterator;
 
      // The following code has a complexity of nnz, and
      // typically a very small constant.
      //
      std::vector<size_type> coldims(A.M(),
                                     std::numeric_limits<size_type>::max());
 
      for (ConstRowIterator row=A.begin(); row!=A.end(); ++row)
        for (ConstColIterator col=row->begin(); col!=row->end(); ++col)
          // only compute blocksizes we don't already have
          if (coldims[col.index()]==std::numeric_limits<size_type>::max())
            coldims[col.index()] = MatrixDimension<block_type>::coldim(*col);
 
      size_type sum = 0;
      for (typename std::vector<size_type>::iterator it=coldims.begin();
           it!=coldims.end(); ++it)
        // skip rows for which no coldim could be determined
        if ((*it)>=0)
          sum += *it;
 
      return sum;
    }
  };
 
 
  template<typename B, int n, int m, typename TA>
  struct MatrixDimension<BCRSMatrix<FieldMatrix<B,n,m> ,TA> >
  {
    typedef BCRSMatrix<FieldMatrix<B,n,m> ,TA> Matrix;
    typedef typename Matrix::size_type size_type;
 
    static size_type rowdim (const Matrix& /*A*/, size_type /*i*/)
    {
      return n;
    }
 
    static size_type coldim (const Matrix& /*A*/, size_type /*c*/)
    {
      return m;
    }
 
    static size_type rowdim (const Matrix& A) {
      return A.N()*n;
    }
 
    static size_type coldim (const Matrix& A) {
      return A.M()*m;
    }
  };
 
  template<typename K, int n, int m>
  struct MatrixDimension<FieldMatrix<K,n,m> >
  {
    typedef FieldMatrix<K,n,m> Matrix;
    typedef typename Matrix::size_type size_type;
 
    static size_type rowdim(const Matrix& /*A*/, size_type /*r*/)
    {
      return 1;
    }
 
    static size_type coldim(const Matrix& /*A*/, size_type /*r*/)
    {
      return 1;
    }
 
    static size_type rowdim(const Matrix& /*A*/)
    {
      return n;
    }
 
    static size_type coldim(const Matrix& /*A*/)
    {
      return m;
    }
  };
 
  template<typename K, int n, int m, typename TA>
  struct MatrixDimension<Matrix<FieldMatrix<K,n,m>, TA> >
  {
    typedef Matrix<FieldMatrix<K,n,m>, TA> ThisMatrix;
    typedef typename ThisMatrix::size_type size_type;
 
    static size_type rowdim(const ThisMatrix& /*A*/, size_type /*r*/)
    {
      return n;
    }
 
    static size_type coldim(const ThisMatrix& /*A*/, size_type /*r*/)
    {
      return m;
    }
 
    static size_type rowdim(const ThisMatrix& A)
    {
      return A.N()*n;
    }
 
    static size_type coldim(const ThisMatrix& A)
    {
      return A.M()*m;
    }
  };
 
  template<typename K, int n>
  struct MatrixDimension<DiagonalMatrix<K,n> >
  {
    typedef DiagonalMatrix<K,n> Matrix;
    typedef typename Matrix::size_type size_type;
 
    static size_type rowdim(const Matrix& /*A*/, size_type /*r*/)
    {
      return 1;
    }
 
    static size_type coldim(const Matrix& /*A*/, size_type /*r*/)
    {
      return 1;
    }
 
    static size_type rowdim(const Matrix& /*A*/)
    {
      return n;
    }
 
    static size_type coldim(const Matrix& /*A*/)
    {
      return n;
    }
  };
 
  template<typename K, int n>
  struct MatrixDimension<ScaledIdentityMatrix<K,n> >
  {
    typedef ScaledIdentityMatrix<K,n> Matrix;
    typedef typename Matrix::size_type size_type;
 
    static size_type rowdim(const Matrix& /*A*/, size_type /*r*/)
    {
      return 1;
    }
 
    static size_type coldim(const Matrix& /*A*/, size_type /*r*/)
    {
      return 1;
    }
 
    static size_type rowdim(const Matrix& /*A*/)
    {
      return n;
    }
 
    static size_type coldim(const Matrix& /*A*/)
    {
      return n;
    }
  };
 
  template<typename T>
  struct IsMatrix
  {
    enum {
      value = false
    };
  };
 
  template<typename T>
  struct IsMatrix<DenseMatrix<T> >
  {
    enum {
      value = true
    };
  };
 
 
  template<typename T, typename A>
  struct IsMatrix<BCRSMatrix<T,A> >
  {
    enum {
      value = true
    };
  };
 
  template<typename T>
  struct PointerCompare
  {
    bool operator()(const T* l, const T* r)
    {
      return *l < *r;
    }
  };
 
}
#endif