DenseMatrixMultiplication.h

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/*
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   The MIT License

   Copyright (c) 2009 Scientific Computing and Imaging Institute,
   University of Utah.

   
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///@brief 
///@file  DenseMatrixMultiplication.h

#ifndef CORE_DATATYPES_DENSEMATRIXMULTIPLICATION_H
#define CORE_DATATYPES_DENSEMATRIXMULTIPLICATION_H 

#if defined(HAVE_CBLAS)
#if defined(__APPLE__)
#include <vecLib/cblas.h>
#else
extern "C"{
#include <cblas.h>
}
#endif
#endif

namespace SCIRun {

template <typename T>
void
DenseMatrixGeneric<T>::mult(const ColumnMatrix& x, ColumnMatrix& b,
                            index_type beg, index_type end,
                            int spVec) const
{
  ASSERTEQ(x.nrows(), this->ncols_);
  ASSERTEQ(b.nrows(), this->nrows_);

  if (beg == -1) beg = 0;
  if (end == -1) end = this->nrows_;

#if defined(HAVE_CBLAS)
  double ALPHA = 1.0;
  double BETA = 0.0;
  cblas_dgemm(CblasRowMajor, CblasNoTrans, CblasNoTrans, (end-beg),
    1, this->ncols_, ALPHA, dataptr_+(beg*this->ncols_), this->ncols_,
    x.get_data_pointer(), 1, BETA,
    b.get_data_pointer()+beg, 1);
#else

  double* xdata = x.get_data_pointer();
  double* bdata = b.get_data_pointer();

  size_type m8 = (this->ncols_)/8;
  size_type m = (this->ncols_)-m8*8;

  index_type i, j;
  if(!spVec)
  {
    for (i=beg; i<end; i++)
    {
      double sum=0;
      double* row=data[i];
      double* xd=xdata;

      for (j=0; j<m8; j++)
      {
        sum+=(*row)*(*xd);
        row++; xd++;
        sum+=(*row)*(*xd);
        row++; xd++;
        sum+=(*row)*(*xd);
        row++; xd++;
        sum+=(*row)*(*xd);
        row++; xd++;
        sum+=(*row)*(*xd);
        row++; xd++;
        sum+=(*row)*(*xd);
        row++; xd++;
        sum+=(*row)*(*xd);
        row++; xd++;
        sum+=(*row)*(*xd);
        row++; xd++;
      }

      for (j=0; j<m; j++)
      {
        sum+=(*row)*(*xd);
        row++; xd++;
      }
      (*bdata)=sum;
      bdata++;
    }
  }
  else
  {
    for (i=beg; i<end; i++) b[i]=0;
    for (j=0; j<this->ncols_; j++)
    {
      if (x[j])
        for (i=beg; i<end; i++)
        {
          b[i]+=data[i][j]*x[j];
        }
    }
  }

#endif
}

template <typename T>
void
DenseMatrixGeneric<T>::multiply(ColumnMatrix& x, ColumnMatrix& b) const
{
  index_type i, j;

  double* xdata = x.get_data_pointer();
  double* bdata = b.get_data_pointer();

  size_type m8 = (this->ncols_)/8;
  size_type m = (this->ncols_)-m8*8;

  for (i=0; i<this->nrows_; i++)
  {
    double sum=0;
    double* row = data[i];
    double* xd = xdata;
    for (j=0; j<m8; j++)
    {
      sum+=(*row)*(*xd);
      row++; xd++;
      sum+=(*row)*(*xd);
      row++; xd++;
      sum+=(*row)*(*xd);
      row++; xd++;
      sum+=(*row)*(*xd);
      row++; xd++;
      sum+=(*row)*(*xd);
      row++; xd++;
      sum+=(*row)*(*xd);
      row++; xd++;
      sum+=(*row)*(*xd);
      row++; xd++;
      sum+=(*row)*(*xd);
      row++; xd++;
    }

    for (j=0; j<m; j++)
    {
      sum+=(*row)*(*xd);
      row++; xd++;
    }

    *bdata=sum;
    bdata++;
  }
}

template <typename T>
void
DenseMatrixGeneric<T>::mult_transpose(const ColumnMatrix& x, ColumnMatrix& b,
                                      index_type beg, index_type end,
                                      int spVec) const
{
  // Compute At*x=b
  ASSERT(x.nrows() == this->nrows_);
  ASSERT(b.nrows() == this->ncols_);
  if (beg == -1) beg = 0;
  if (end == -1) end = this->ncols_;
  index_type i, j;
  if (!spVec)
  {
    for (i=beg; i<end; i++)
    {
      double sum=0;
      for (j=0; j<this->nrows_; j++)
      {
        sum+=data[j][i]*x[j];
      }
      b[i]=sum;
    }
  }
  else
  {
    for (i=beg; i<end; i++) b[i]=0;
    for (j=0; j<this->nrows_; j++)
      if (x[j])
      {
        double *row=data[j];
        for (i=beg; i<end; i++)
          b[i]+=row[i]*x[j];
      }
  }
}

template <typename T>
DenseMatrix*
DenseMatrixGeneric<T>::make_diagonal_from_column(const ColumnMatrix& column, size_type rows, size_type cols)
{
  DenseMatrix* result = zero_matrix(rows, cols);
  for (size_type i = 0; i < column.nrows(); ++i)
    (*result)[i][i] = column[i];

  return result;
}

} // End namespace SCIRun

#endif