Stokhos_TiledCrsProductTensor.hpp

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// @HEADER
// *****************************************************************************
//                           Stokhos Package
//
// Copyright 2009 NTESS and the Stokhos contributors.
// SPDX-License-Identifier: BSD-3-Clause
// *****************************************************************************
// @HEADER

#ifndef STOKHOS_TILED_CRS_PRODUCT_TENSOR_HPP
#define STOKHOS_TILED_CRS_PRODUCT_TENSOR_HPP

#include "Kokkos_Core.hpp"

#include "Stokhos_Multiply.hpp"
#include "Stokhos_ProductBasis.hpp"
#include "Stokhos_Sparse3Tensor.hpp"
#include "Stokhos_Sparse3TensorPartition.hpp"
#include "Teuchos_ParameterList.hpp"
#include "Stokhos_TinyVec.hpp"


//----------------------------------------------------------------------------
//----------------------------------------------------------------------------

namespace Stokhos {

template< typename ValueType, class ExecutionSpace >
class TiledCrsProductTensor {
public:

  typedef ExecutionSpace  execution_space;
  typedef int size_type;
  typedef ValueType   value_type;

// Vectorsize used in multiply algorithm
#if defined(__AVX__)
  static const size_type host_vectorsize = 32/sizeof(value_type);
  static const bool use_intrinsics = true;
#elif defined(__MIC__)
  static const size_type host_vectorsize = 16;
  static const bool use_intrinsics = true;
#else
  static const size_type host_vectorsize = 2;
  static const bool use_intrinsics = false;
#endif
  static const size_type cuda_vectorsize = 32;
  static const bool is_cuda =
#if defined( KOKKOS_ENABLE_CUDA )
    std::is_same<ExecutionSpace,Kokkos::Cuda>::value;
#else
    false ;
#endif
  static const size_type vectorsize = is_cuda ? cuda_vectorsize : host_vectorsize;

  // Alignment in terms of number of entries of CRS rows
  static const size_type tensor_align = vectorsize;

private:

  typedef Kokkos::LayoutRight layout_type;
  typedef Kokkos::View< value_type[], execution_space >  vec_type;
  typedef Kokkos::View< size_type[], execution_space > coord_array_type;
  typedef Kokkos::View< size_type[][2], Kokkos::LayoutLeft, execution_space > coord2_array_type;
  typedef Kokkos::View< size_type[][3], execution_space > coord_offset_type;
  typedef Kokkos::View< size_type[][3], execution_space > coord_range_type;
  typedef Kokkos::View< value_type[], execution_space > value_array_type;
  typedef Kokkos::View< size_type**, layout_type, execution_space > entry_array_type;
  typedef Kokkos::View< size_type**, layout_type, execution_space > row_map_array_type;
  typedef Kokkos::View< size_type[], execution_space > num_row_array_type;

  coord_array_type   m_coord;
  coord2_array_type  m_coord2;
  coord_offset_type  m_coord_offset;
  coord_range_type   m_coord_range;
  value_array_type   m_value;
  entry_array_type   m_num_entry;
  row_map_array_type m_row_map;
  num_row_array_type m_num_rows;
  size_type          m_dimension;
  size_type          m_tile_size;
  size_type          m_entry_max;
  size_type          m_max_num_rows;
  size_type          m_nnz;
  size_type          m_flops;

public:

  inline
  ~TiledCrsProductTensor() {}

  inline
  TiledCrsProductTensor() :
    m_coord(),
    m_coord2(),
    m_coord_offset(),
    m_coord_range(),
    m_value(),
    m_num_entry(),
    m_row_map(),
    m_num_rows(),
    m_dimension(0),
    m_tile_size(0),
    m_entry_max(0),
    m_max_num_rows(0),
    m_nnz(0),
    m_flops(0) {}

  inline
  TiledCrsProductTensor( const TiledCrsProductTensor & rhs ) :
    m_coord( rhs.m_coord ),
    m_coord2( rhs.m_coord2 ),
    m_coord_offset( rhs.m_coord_offset ),
    m_coord_range( rhs.m_coord_range ),
    m_value( rhs.m_value ),
    m_num_entry( rhs.m_num_entry ),
    m_row_map( rhs.m_row_map ),
    m_num_rows( rhs.m_num_rows ),
    m_dimension( rhs.m_dimension ),
    m_tile_size( rhs.m_tile_size ),
    m_entry_max( rhs.m_entry_max ),
    m_max_num_rows( rhs.m_max_num_rows ),
    m_nnz( rhs.m_nnz ),
    m_flops( rhs.m_flops ) {}

  inline
  TiledCrsProductTensor & operator = ( const TiledCrsProductTensor & rhs )
  {
    m_coord = rhs.m_coord;
    m_coord2 = rhs.m_coord2;
    m_coord_offset = rhs.m_coord_offset;
    m_coord_range = rhs.m_coord_range;
    m_value = rhs.m_value;
    m_num_entry = rhs.m_num_entry;
    m_row_map = rhs.m_row_map;
    m_num_rows = rhs.m_num_rows;
    m_dimension = rhs.m_dimension;
    m_tile_size = rhs.m_tile_size;
    m_entry_max = rhs.m_entry_max;
    m_max_num_rows = rhs.m_max_num_rows;
    m_nnz = rhs.m_nnz;
    m_flops = rhs.m_flops;
    return *this;
  }

  KOKKOS_INLINE_FUNCTION
  size_type dimension() const { return m_dimension; }

  KOKKOS_INLINE_FUNCTION
  size_type entry_count() const
  { return m_coord.extent(0); }

  KOKKOS_INLINE_FUNCTION
  size_type entry_maximum() const
  { return m_entry_max; }

  KOKKOS_INLINE_FUNCTION
  size_type max_num_rows() const
  { return m_max_num_rows; }

  KOKKOS_INLINE_FUNCTION
  size_type num_rows( size_type tile ) const
  { return m_num_rows(tile); }

  KOKKOS_INLINE_FUNCTION
  const size_type& entry_begin( size_type tile, size_type i ) const
  { return m_row_map(tile,i); }

  KOKKOS_INLINE_FUNCTION
  size_type entry_end( size_type tile, size_type i ) const
  { return m_row_map(tile,i) + m_num_entry(tile,i); }

  KOKKOS_INLINE_FUNCTION
  const size_type* row_map_ptr() const
  { return m_row_map.data(); }

  KOKKOS_INLINE_FUNCTION
  const size_type& num_entry( size_type tile, size_type i ) const
  { return m_num_entry(tile,i); }

  KOKKOS_INLINE_FUNCTION
  const size_type& coord( const size_type entry, const size_type c ) const
  { return m_coord2( entry, c ); }

  KOKKOS_INLINE_FUNCTION
  const size_type& coord( const size_type entry ) const
  { return m_coord( entry ); }

  KOKKOS_INLINE_FUNCTION
  const value_type & value( const size_type entry ) const
  { return m_value( entry ); }

  KOKKOS_INLINE_FUNCTION
  size_type num_non_zeros() const
  { return m_nnz; }

  KOKKOS_INLINE_FUNCTION
  size_type num_flops() const
  { return m_flops; }

  KOKKOS_INLINE_FUNCTION
  size_type tile_size() const
  { return m_tile_size; }

  KOKKOS_INLINE_FUNCTION
  size_type num_tiles() const
  { return m_coord_offset.extent(0); }

  KOKKOS_INLINE_FUNCTION
  const size_type& offset( const size_type entry, const size_type c ) const
  { return m_coord_offset( entry, c ); }

  KOKKOS_INLINE_FUNCTION
  const size_type& range( const size_type entry, const size_type c ) const
  { return m_coord_range( entry, c ); }

  template <typename OrdinalType>
  static TiledCrsProductTensor
  create( const Stokhos::ProductBasis<OrdinalType,ValueType>& basis,
          const Stokhos::Sparse3Tensor<OrdinalType,ValueType>& Cijk,
          const Teuchos::ParameterList& params)
  {
    typedef Stokhos::CijkData<OrdinalType,ValueType> Cijk_Data_type;

    const size_type tile_size = params.get<int>("Tile Size");
    const size_type max_tiles = params.get<int>("Max Tiles");

    // Build tensor data list
    Teuchos::ArrayRCP<Cijk_Data_type> coordinate_list =
      Stokhos::build_cijk_coordinate_list(Cijk, Stokhos::CIJK_TWO_WAY_SYMMETRY);

    // Partition via RCB
    typedef Stokhos::RCB<Cijk_Data_type> rcb_type;
    typedef typename rcb_type::Box box_type;
    rcb_type rcb(tile_size, max_tiles, coordinate_list());
    Teuchos::RCP< Teuchos::Array< Teuchos::RCP<box_type> > > parts =
      rcb.get_parts();
    size_type num_parts = rcb.get_num_parts();

    // Compute number of non-zeros for each row in each part
    size_type total_num_rows = 0, max_num_rows = 0, entry_count = 0;
    Teuchos::Array< Teuchos::Array<size_type> > coord_work( num_parts );
    for (size_type part=0; part<num_parts; ++part) {
      Teuchos::RCP<box_type> box = (*parts)[part];
      size_type num_rows = box->delta_x;
      total_num_rows += num_rows;
      max_num_rows = std::max(max_num_rows, num_rows);
      coord_work[part].resize(num_rows, 0);

      size_type nc = box->coords.size();
      for (size_type c=0; c<nc; ++c) {
        size_type i = box->coords[c](0) - box->xmin;
        ++(coord_work[part][i]);
        ++entry_count;
      }
    }

    // Pad each row to have size divisible by alignment size
    for (size_type part=0; part<num_parts; ++part) {
      size_type sz = coord_work[part].size();
      for ( size_type i = 0; i < sz; ++i ) {
        const size_t rem = coord_work[part][i] % tensor_align;
        if (rem > 0) {
          const size_t pad = tensor_align - rem;
          coord_work[part][i] += pad;
          entry_count += pad;
        }
      }
    }

    // Allocate tensor data
    TiledCrsProductTensor tensor;
    tensor.m_coord =
      coord_array_type( "tensor_coord", entry_count );
    tensor.m_coord2 =
      coord2_array_type( "tensor_coord2", entry_count );
    tensor.m_coord_offset =
      coord_offset_type( "tensor_coord_offset", num_parts );
    tensor.m_coord_range =
      coord_range_type( "tensor_coord_range", num_parts );
    tensor.m_value =
      value_array_type( "tensor_value", entry_count );
    tensor.m_num_entry =
      entry_array_type( "tensor_num_entry", num_parts, max_num_rows );
    tensor.m_row_map =
      row_map_array_type( "tensor_row_map", num_parts, max_num_rows+1 );
    tensor.m_num_rows =
      num_row_array_type( "tensor_num_rows", num_parts );
    tensor.m_dimension = basis.size();
    tensor.m_tile_size = tile_size;
    tensor.m_max_num_rows = max_num_rows;

    // Create mirror, is a view if is host memory
    typename coord_array_type::HostMirror host_coord =
      Kokkos::create_mirror_view( tensor.m_coord );
    typename coord2_array_type::HostMirror host_coord2 =
      Kokkos::create_mirror_view( tensor.m_coord2 );
    typename coord_offset_type::HostMirror host_coord_offset =
      Kokkos::create_mirror_view( tensor.m_coord_offset );
    typename coord_range_type::HostMirror host_coord_range =
      Kokkos::create_mirror_view( tensor.m_coord_range );
    typename value_array_type::HostMirror host_value =
      Kokkos::create_mirror_view( tensor.m_value );
    typename entry_array_type::HostMirror host_num_entry =
      Kokkos::create_mirror_view( tensor.m_num_entry );
    typename row_map_array_type::HostMirror host_row_map =
      Kokkos::create_mirror_view( tensor.m_row_map );
    typename num_row_array_type::HostMirror host_num_rows =
      Kokkos::create_mirror_view( tensor.m_num_rows );

    // Compute row map
    size_type sum = 0;
    for (size_type part=0; part<num_parts; ++part) {
      size_type nc = coord_work[part].size();
      host_row_map(part,0) = sum;
      for (size_type t=0; t<nc; ++t) {
        sum += coord_work[part][t];
        host_row_map(part,t+1) = sum;
      }
    }

    // Copy per part row offsets back into coord_work
    for (size_type part=0; part<num_parts; ++part) {
      size_type nc = coord_work[part].size();
      for (size_type t=0; t<nc; ++t) {
        coord_work[part][t] = host_row_map(part,t);
      }
    }

    // Fill in coordinate and value arrays
    for (size_type part=0; part<num_parts; ++part) {
      Teuchos::RCP<box_type> box = (*parts)[part];

      host_coord_offset(part,0) = box->xmin;
      host_coord_offset(part,1) = box->ymin;
      host_coord_offset(part,2) = box->zmin;

      host_coord_range(part,0) = box->delta_x;
      host_coord_range(part,1) = box->delta_y;
      host_coord_range(part,2) = box->delta_z;

      host_num_rows(part) = coord_work[part].size(); // also == box->delta_x

      size_type nc = box->coords.size();
      for (size_type t=0; t<nc; ++t) {
        const size_type i = box->coords[t].i;
        const size_type j = box->coords[t].j;
        const size_type k = box->coords[t].k;
        const value_type c = box->coords[t].c;

        const size_type row = i - box->xmin;
        const size_type n = coord_work[part][row];
        ++coord_work[part][row];

        host_value(n) = c;
        host_coord2(n,0) = j - box->ymin;
        host_coord2(n,1) = k - box->zmin;
        host_coord(n) = ( host_coord2(n,1) << 16 ) | host_coord2(n,0);

        ++host_num_entry(part,row);
        ++tensor.m_nnz;
      }
    }

    // Copy data to device if necessary
    Kokkos::deep_copy( tensor.m_coord, host_coord );
    Kokkos::deep_copy( tensor.m_coord2, host_coord2 );
    Kokkos::deep_copy( tensor.m_coord_offset, host_coord_offset );
    Kokkos::deep_copy( tensor.m_coord_range, host_coord_range );
    Kokkos::deep_copy( tensor.m_value, host_value );
    Kokkos::deep_copy( tensor.m_num_entry, host_num_entry );
    Kokkos::deep_copy( tensor.m_row_map, host_row_map );
    Kokkos::deep_copy( tensor.m_num_rows, host_num_rows );

    tensor.m_entry_max = 0;
    tensor.m_flops = 0;
    for (size_type part=0; part<num_parts; ++part) {
      for ( size_type i = 0; i < host_num_rows(part); ++i ) {
        tensor.m_entry_max = std::max( tensor.m_entry_max,
                                       host_num_entry(part,i) );
        tensor.m_flops += 5*host_num_entry(part,i) + 1;
      }
    }

    return tensor;
  }
};

template< class Device, typename OrdinalType, typename ValueType >
TiledCrsProductTensor<ValueType, Device>
create_tiled_product_tensor(
  const Stokhos::ProductBasis<OrdinalType,ValueType>& basis,
  const Stokhos::Sparse3Tensor<OrdinalType,ValueType>& Cijk,
  const Teuchos::ParameterList& params)
{
  return TiledCrsProductTensor<ValueType, Device>::create(
    basis, Cijk, params );
}

template < typename ValueType, typename Device >
class BlockMultiply< TiledCrsProductTensor< ValueType , Device > >
{
public:

  typedef typename Device::size_type size_type ;
  typedef TiledCrsProductTensor< ValueType , Device > tensor_type ;

  template< typename MatrixValue , typename VectorValue >
  KOKKOS_INLINE_FUNCTION
  static void apply( const tensor_type & tensor ,
                     const MatrixValue * const a ,
                     const VectorValue * const x ,
                           VectorValue * const y )
  {
    const size_type block_size = 2;
    typedef TinyVec<ValueType,block_size,false> TV;

    const size_type n_tile = tensor.num_tiles();

    for ( size_type tile = 0 ; tile < n_tile ; ++tile ) {

      const size_type i_offset = tensor.offset(tile, 0);
      const size_type j_offset = tensor.offset(tile, 1);
      const size_type k_offset = tensor.offset(tile, 2);

      const size_type n_row = tensor.num_rows(tile);

      for ( size_type i = 0 ; i < n_row ; ++i ) {

        const size_type nEntry = tensor.num_entry(tile,i);
        const size_type iEntryBeg = tensor.entry_begin(tile,i);
        const size_type iEntryEnd = iEntryBeg + nEntry;
              size_type iEntry    = iEntryBeg;

        VectorValue ytmp = 0 ;

        // Do entries with a blocked loop of size block_size
        if (block_size > 1) {
          const size_type nBlock = nEntry / block_size;
          const size_type nEntryB = nBlock * block_size;
          const size_type iEnd = iEntryBeg + nEntryB;

          TV vy;
          vy.zero();
          int j[block_size], k[block_size];

          for ( ; iEntry < iEnd ; iEntry += block_size ) {

            for (size_type ii=0; ii<block_size; ++ii) {
              j[ii] = tensor.coord(iEntry+ii,0) + j_offset;
              k[ii] = tensor.coord(iEntry+ii,1) + k_offset;
            }
            TV aj(a, j), ak(a, k), xj(x, j), xk(x, k),
              c(&(tensor.value(iEntry)));

            // vy += c * ( aj * xk + ak * xj)
            aj.times_equal(xk);
            ak.times_equal(xj);
            aj.plus_equal(ak);
            c.times_equal(aj);
            vy.plus_equal(c);

          }

          ytmp += vy.sum();
        }

        // Do remaining entries with a scalar loop
        for ( ; iEntry<iEntryEnd; ++iEntry) {
          const size_type j = tensor.coord(iEntry,0) + j_offset;
          const size_type k = tensor.coord(iEntry,1) + k_offset;

          ytmp += tensor.value(iEntry) * ( a[j] * x[k] + a[k] * x[j] );
        }

        y[i+i_offset] += ytmp ;
        //y[i] += ytmp ;
      }
    }
  }

  KOKKOS_INLINE_FUNCTION
  static size_type matrix_size( const tensor_type & tensor )
  { return tensor.dimension(); }

  KOKKOS_INLINE_FUNCTION
  static size_type vector_size( const tensor_type & tensor )
  { return tensor.dimension(); }
};

} /* namespace Stokhos */

//----------------------------------------------------------------------------
//----------------------------------------------------------------------------

#endif /* #ifndef STOKHOS_TILED_CRS_PRODUCT_TENSOR_HPP */