Transposition.cpp

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///////////////////////////////////////////////////////////////////////////////
//
// File: Transposition.cpp
//
// For more information, please see: http://www.nektar.info
//
// The MIT License
//
// Copyright (c) 2006 Division of Applied Mathematics, Brown University (USA),
// Department of Aeronautics, Imperial College London (UK), and Scientific
// Computing and Imaging Institute, University of Utah (USA).
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the "Software"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
// and/or sell copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.
//
// Description: Data manager for homogeneous transpositions
//
///////////////////////////////////////////////////////////////////////////////
 
#include <boost/core/ignore_unused.hpp>
 
#include <LibUtilities/Communication/Transposition.h>
 
#include <LibUtilities/BasicUtils/ErrorUtil.hpp>   // for ASSERTL0, etc
#include <LibUtilities/BasicUtils/SharedArray.hpp> // for Array
#include <LibUtilities/BasicUtils/Vmath.hpp>       // for Vcopy
#include <LibUtilities/Foundations/Basis.h>        // for BasisKey
#include <LibUtilities/Foundations/Foundations.hpp>
 
namespace Nektar
{
namespace LibUtilities
{
/**
 * Constructor for 1D transform.
 */
Transposition::Transposition(const LibUtilities::BasisKey &HomoBasis0,
                             LibUtilities::CommSharedPtr hcomm0,
                             LibUtilities::CommSharedPtr hcomm1)
{
    m_hcomm                      = hcomm1;
    m_num_homogeneous_directions = 1;
 
    m_num_points_per_proc    = Array<OneD, int>(m_num_homogeneous_directions);
    m_num_homogeneous_points = Array<OneD, int>(m_num_homogeneous_directions);
    m_num_homogeneous_coeffs = Array<OneD, int>(m_num_homogeneous_directions);
    m_num_processes          = Array<OneD, int>(m_num_homogeneous_directions);
 
    m_num_homogeneous_points[0] = HomoBasis0.GetNumPoints();
    m_num_homogeneous_coeffs[0] = HomoBasis0.GetNumModes();
    m_num_processes[0]          = m_hcomm->GetSize();
    m_num_points_per_proc[0] = m_num_homogeneous_points[0] / m_num_processes[0];
    m_rank_id                = m_hcomm->GetRank();
 
    //================================================================
    // TODO: Need to be generalised for 1D, 2D and 3D
    m_planes_IDs = Array<OneD, unsigned int>(m_num_points_per_proc[0]);
    m_K          = Array<OneD, unsigned int>(m_num_points_per_proc[0]);
 
    for (int i = 0; i < m_num_points_per_proc[0]; i++)
    {
        m_planes_IDs[i] = m_rank_id * m_num_points_per_proc[0] + i;
    }
 
    int global_rank_id = hcomm0->GetColumnComm()->GetRank();
    int NumStrips = hcomm0->GetColumnComm()->GetSize() / m_hcomm->GetSize();
    m_strip_ID    = 0;
 
    if (NumStrips > 1)
    {
        m_strip_ID = (NumStrips > global_rank_id)
                         ? global_rank_id
                         : (global_rank_id - NumStrips);
    }
 
    if (HomoBasis0.GetBasisType() == LibUtilities::eFourier)
    {
        for (int i = 0; i < m_num_points_per_proc[0]; i++)
        {
            m_K[i] = m_planes_IDs[i] / 2;
        }
    }
 
    if (HomoBasis0.GetBasisType() == LibUtilities::eFourierSingleMode)
    {
        m_K[0] = 1;
        m_K[1] = 1;
    }
 
    if (HomoBasis0.GetBasisType() == LibUtilities::eFourierHalfModeRe ||
        HomoBasis0.GetBasisType() == LibUtilities::eFourierHalfModeIm)
    {
        m_K[0] = 1;
    }
    //================================================================
}
 
/**
 * Constructor for 2D transform.
 */
Transposition::Transposition(const LibUtilities::BasisKey &HomoBasis0,
                             const LibUtilities::BasisKey &HomoBasis1,
                             LibUtilities::CommSharedPtr hcomm)
{
    m_hcomm                      = hcomm;
    m_num_homogeneous_directions = 2;
 
    m_num_points_per_proc    = Array<OneD, int>(m_num_homogeneous_directions);
    m_num_homogeneous_points = Array<OneD, int>(m_num_homogeneous_directions);
    m_num_homogeneous_coeffs = Array<OneD, int>(m_num_homogeneous_directions);
    m_num_processes          = Array<OneD, int>(m_num_homogeneous_directions);
 
    m_num_homogeneous_points[0] = HomoBasis0.GetNumPoints();
    m_num_homogeneous_coeffs[0] = HomoBasis0.GetNumModes();
    m_num_homogeneous_points[1] = HomoBasis1.GetNumPoints();
    m_num_homogeneous_coeffs[1] = HomoBasis1.GetNumModes();
 
    m_num_processes[0] = m_hcomm->GetRowComm()->GetSize();
    m_num_processes[1] = m_hcomm->GetColumnComm()->GetSize();
 
    m_num_points_per_proc[0] = m_num_homogeneous_points[0] / m_num_processes[0];
    m_num_points_per_proc[1] = m_num_homogeneous_points[1] / m_num_processes[1];
 
    //================================================================
    // TODO: Need set up for 2D lines IDs and Ks if Fourier
    //================================================================
}
 
/**
 * Constructor for 3D transform.
 */
Transposition::Transposition(const LibUtilities::BasisKey &HomoBasis0,
                             const LibUtilities::BasisKey &HomoBasis1,
                             const LibUtilities::BasisKey &HomoBasis2,
                             LibUtilities::CommSharedPtr hcomm)
{
    boost::ignore_unused(HomoBasis0, HomoBasis1, HomoBasis2);
 
    m_hcomm                      = hcomm;
    m_num_homogeneous_directions = 3;
 
    m_num_points_per_proc    = Array<OneD, int>(m_num_homogeneous_directions);
    m_num_homogeneous_points = Array<OneD, int>(m_num_homogeneous_directions);
    m_num_homogeneous_coeffs = Array<OneD, int>(m_num_homogeneous_directions);
    m_num_processes          = Array<OneD, int>(m_num_homogeneous_directions);
 
    //================================================================
    // TODO: Need set up for 3D
    ASSERTL0(false, "Transposition is not set up for 3D.");
    //================================================================
}
 
/**
 * Destructor
 */
Transposition::~Transposition()
{
}
 
//====================================================================
// TODO: Need to generalise the following methods for 1D, 2D and 3D
unsigned int Transposition::GetK(int i)
{
    return m_K[i];
}
 
Array<OneD, unsigned int> Transposition::GetKs(void)
{
    return m_K;
}
 
unsigned int Transposition::GetPlaneID(int i)
{
    return m_planes_IDs[i];
}
 
Array<OneD, unsigned int> Transposition::GetPlanesIDs(void)
{
    return m_planes_IDs;
}
 
unsigned int Transposition::GetStripID(void)
{
    return m_strip_ID;
}
 
/**
 * Main method: General transposition, the dir parameters define if
 * 1D,2D,3D and which transposition is required at the same time
 */
void Transposition::Transpose(const int npts,
                              const Array<OneD, const NekDouble> &inarray,
                              Array<OneD, NekDouble> &outarray, bool UseNumMode,
                              TranspositionDir dir)
{
    switch (dir)
    {
        case eXYtoZ:
        {
            TransposeXYtoZ(npts, inarray, outarray, UseNumMode);
        }
        break;
        case eZtoXY:
        {
            TransposeZtoXY(npts, inarray, outarray, UseNumMode);
        }
        break;
        case eXtoYZ:
        {
            TransposeXtoYZ(npts, inarray, outarray, UseNumMode);
        }
        break;
        case eYZtoX:
        {
            TransposeYZtoX(npts, inarray, outarray, UseNumMode);
        }
        break;
        case eYZtoZY:
        {
            TransposeYZtoZY(npts, inarray, outarray, UseNumMode);
        }
        break;
        case eZYtoYZ:
        {
            TransposeZYtoYZ(npts, inarray, outarray, UseNumMode);
        }
        break;
        case eXtoY:
        {
            ASSERTL0(false, "Transposition not implemented yet.");
        }
        break;
        case eYtoZ:
        {
            ASSERTL0(false, "Transposition not implemented yet.");
        }
        break;
        case eZtoX:
        {
            ASSERTL0(false, "Transposition not implemented yet.");
        }
        break;
        default:
        {
            ASSERTL0(false, "Transposition type does not exist.");
        }
    }
}
 
/**
 * Homogeneous 1D transposition from SEM to Homogeneous ordering.
 */
void Transposition::TransposeXYtoZ(const int npts,
                                   const Array<OneD, const NekDouble> &inarray,
                                   Array<OneD, NekDouble> &outarray,
                                   bool UseNumMode)
{
    if (m_num_processes[0] > 1)
    {
        // Paramerers set up
        int i, packed_len;
        int copy_len = 0;
        int index    = 0;
        int cnt      = 0;
 
        int num_dofs             = npts;
        int num_points_per_plane = num_dofs / m_num_points_per_proc[0];
        int num_pencil_per_proc =
            (num_points_per_plane / m_num_processes[0]) +
            (num_points_per_plane % m_num_processes[0] > 0);
 
        m_SizeMap   = Array<OneD, int>(m_num_processes[0], 0);
        m_OffsetMap = Array<OneD, int>(m_num_processes[0], 0);
 
        for (i = 0; i < m_num_processes[0]; i++)
        {
            m_SizeMap[i]   = num_pencil_per_proc * m_num_points_per_proc[0];
            m_OffsetMap[i] = i * num_pencil_per_proc * m_num_points_per_proc[0];
        }
 
        Array<OneD, NekDouble> tmp_outarray(
            num_pencil_per_proc * m_num_homogeneous_points[0], 0.0);
 
        if (UseNumMode)
        {
            packed_len = m_num_homogeneous_coeffs[0];
        }
        else
        {
            packed_len = m_num_homogeneous_points[0];
        }
 
        // Start Transposition
        while (index < num_points_per_plane)
        {
            copy_len = num_pencil_per_proc < (num_points_per_plane - index)
                           ? num_pencil_per_proc
                           : (num_points_per_plane - index);
 
            for (i = 0; i < m_num_points_per_proc[0]; i++)
            {
                Vmath::Vcopy(copy_len,
                             &(inarray[index + (i * num_points_per_plane)]), 1,
                             &(outarray[cnt]), 1);
 
                cnt += num_pencil_per_proc;
            }
 
            index += copy_len;
        }
 
        m_hcomm->AlltoAllv(outarray, m_SizeMap, m_OffsetMap, tmp_outarray,
                           m_SizeMap, m_OffsetMap);
 
        for (i = 0; i < packed_len; ++i)
        {
            Vmath::Vcopy(num_pencil_per_proc,
                         &(tmp_outarray[i * num_pencil_per_proc]), 1,
                         &(outarray[i]), packed_len);
        }
        // End Transposition
    }
 
    // Serial case implementation (more efficient then MPI 1 processor
    // implemenation)
    else
    {
        int i, pts_per_plane;
        int n = npts;
        int packed_len;
 
        pts_per_plane = n / m_num_points_per_proc[0];
 
        if (UseNumMode)
        {
            packed_len = m_num_homogeneous_coeffs[0];
        }
        else
        {
            packed_len = m_num_homogeneous_points[0];
        }
 
        ASSERTL1(&inarray[0] != &outarray[0],
                 "Inarray and outarray cannot be the same");
 
        for (i = 0; i < packed_len; ++i)
        {
            Vmath::Vcopy(pts_per_plane, &(inarray[i * pts_per_plane]), 1,
                         &(outarray[i]), packed_len);
        }
    }
}
 
/**
 * Homogeneous 1D transposition from Homogeneous to SEM ordering.
 */
void Transposition::TransposeZtoXY(const int npts,
                                   const Array<OneD, const NekDouble> &inarray,
                                   Array<OneD, NekDouble> &outarray,
                                   bool UseNumMode)
{
    if (m_num_processes[0] > 1)
    {
        // Paramerers set up
        int i, packed_len;
        int copy_len = 0;
        int index    = 0;
        int cnt      = 0;
 
        int num_dofs             = npts; // outarray.size();
        int num_points_per_plane = num_dofs / m_num_points_per_proc[0];
        int num_pencil_per_proc =
            (num_points_per_plane / m_num_processes[0]) +
            (num_points_per_plane % m_num_processes[0] > 0);
 
        m_SizeMap   = Array<OneD, int>(m_num_processes[0], 0);
        m_OffsetMap = Array<OneD, int>(m_num_processes[0], 0);
 
        for (i = 0; i < m_num_processes[0]; i++)
        {
            m_SizeMap[i]   = num_pencil_per_proc * m_num_points_per_proc[0];
            m_OffsetMap[i] = i * num_pencil_per_proc * m_num_points_per_proc[0];
        }
 
        Array<OneD, NekDouble> tmp_inarray(
            num_pencil_per_proc * m_num_homogeneous_points[0], 0.0);
        Array<OneD, NekDouble> tmp_outarray(
            num_pencil_per_proc * m_num_homogeneous_points[0], 0.0);
 
        if (UseNumMode)
        {
            packed_len = m_num_homogeneous_coeffs[0];
        }
        else
        {
            packed_len = m_num_homogeneous_points[0];
        }
 
        // Start Transposition
        for (i = 0; i < packed_len; ++i)
        {
            Vmath::Vcopy(num_pencil_per_proc, &(inarray[i]), packed_len,
                         &(tmp_inarray[i * num_pencil_per_proc]), 1);
        }
 
        m_hcomm->AlltoAllv(tmp_inarray, m_SizeMap, m_OffsetMap, tmp_outarray,
                           m_SizeMap, m_OffsetMap);
 
        while (index < num_points_per_plane)
        {
            copy_len = num_pencil_per_proc < (num_points_per_plane - index)
                           ? num_pencil_per_proc
                           : (num_points_per_plane - index);
 
            for (i = 0; i < m_num_points_per_proc[0]; i++)
            {
                Vmath::Vcopy(copy_len, &(tmp_outarray[cnt]), 1,
                             &(outarray[index + (i * num_points_per_plane)]),
                             1);
 
                cnt += num_pencil_per_proc;
            }
 
            index += copy_len;
        }
        // End Transposition
    }
 
    // Serial case implementation (more efficient then MPI 1 processor
    // implemenation)
    else
    {
        int i, pts_per_plane;
        int n = npts;
        int packed_len;
 
        // use length of inarray to determine data storage type
        // (i.e.modal or physical).
        pts_per_plane = n / m_num_points_per_proc[0];
 
        if (UseNumMode)
        {
            packed_len = m_num_homogeneous_coeffs[0];
        }
        else
        {
            packed_len = m_num_homogeneous_points[0];
        }
 
        ASSERTL1(&inarray[0] != &outarray[0],
                 "Inarray and outarray cannot be the same");
 
        for (i = 0; i < packed_len; ++i)
        {
            Vmath::Vcopy(pts_per_plane, &(inarray[i]), packed_len,
                         &(outarray[i * pts_per_plane]), 1);
        }
    }
}
 
/**
 * Homogeneous 2D transposition from SEM to Homogeneous(YZ) ordering.
 */
void Transposition::TransposeXtoYZ(const int npts,
                                   const Array<OneD, const NekDouble> &inarray,
                                   Array<OneD, NekDouble> &outarray,
                                   bool UseNumMode)
{
    if (m_num_processes[0] > 1 || m_num_processes[1] > 1)
    {
        ASSERTL0(false, "Parallel transposition not implemented yet for "
                        "3D-Homo-2D approach.");
    }
    else
    {
        int i, pts_per_line;
        int n = npts;
        int packed_len;
 
        pts_per_line =
            n / (m_num_homogeneous_points[0] * m_num_homogeneous_points[1]);
 
        if (UseNumMode)
        {
            packed_len =
                (m_num_homogeneous_coeffs[0] * m_num_homogeneous_coeffs[1]);
        }
        else
        {
            packed_len =
                (m_num_homogeneous_points[0] * m_num_homogeneous_points[1]);
        }
 
        ASSERTL1(&inarray[0] != &outarray[0],
                 "Inarray and outarray cannot be the same");
 
        for (i = 0; i < packed_len; ++i)
        {
            Vmath::Vcopy(pts_per_line, &(inarray[i * pts_per_line]), 1,
                         &(outarray[i]), packed_len);
        }
    }
}
 
/**
 * Homogeneous 2D transposition from Homogeneous (YZ) ordering to SEM.
 */
void Transposition::TransposeYZtoX(const int npts,
                                   const Array<OneD, const NekDouble> &inarray,
                                   Array<OneD, NekDouble> &outarray,
                                   bool UseNumMode)
{
    if (m_num_processes[0] > 1 || m_num_processes[1] > 1)
    {
        ASSERTL0(false, "Parallel transposition not implemented yet for "
                        "3D-Homo-2D approach.");
    }
    else
    {
        int i, pts_per_line;
        int n = npts;
        int packed_len;
 
        pts_per_line =
            n / (m_num_homogeneous_points[0] * m_num_homogeneous_points[1]);
 
        if (UseNumMode)
        {
            packed_len =
                (m_num_homogeneous_coeffs[0] * m_num_homogeneous_coeffs[1]);
        }
        else
        {
            packed_len =
                (m_num_homogeneous_points[0] * m_num_homogeneous_points[1]);
        }
 
        ASSERTL1(&inarray[0] != &outarray[0],
                 "Inarray and outarray cannot be the same");
 
        for (i = 0; i < packed_len; ++i)
        {
            Vmath::Vcopy(pts_per_line, &(inarray[i]), packed_len,
                         &(outarray[i * pts_per_line]), 1);
        }
    }
}
 
/**
 * Homogeneous 2D transposition from Y ordering to Z.
 */
void Transposition::TransposeYZtoZY(const int npts,
                                    const Array<OneD, const NekDouble> &inarray,
                                    Array<OneD, NekDouble> &outarray,
                                    bool UseNumMode)
{
    boost::ignore_unused(UseNumMode);
 
    if (m_num_processes[0] > 1 || m_num_processes[1] > 1)
    {
        ASSERTL0(false, "Parallel transposition not implemented yet for "
                        "3D-Homo-2D approach.");
    }
    else
    {
        int n = m_num_homogeneous_points[0] * m_num_homogeneous_points[1];
        int s = npts;
 
        int pts_per_line = s / n;
 
        int packed_len = pts_per_line * m_num_homogeneous_points[1];
 
        for (int i = 0; i < m_num_homogeneous_points[0]; ++i)
        {
            Vmath::Vcopy(packed_len, &(inarray[i]), m_num_homogeneous_points[0],
                         &(outarray[i * packed_len]), 1);
        }
    }
}
 
/**
 * Homogeneous 2D transposition from Z ordering to Y.
 */
void Transposition::TransposeZYtoYZ(const int npts,
                                    const Array<OneD, const NekDouble> &inarray,
                                    Array<OneD, NekDouble> &outarray,
                                    bool UseNumMode)
{
    boost::ignore_unused(UseNumMode);
 
    if (m_num_processes[0] > 1 || m_num_processes[1] > 1)
    {
        ASSERTL0(false, "Parallel transposition not implemented yet for "
                        "3D-Homo-2D approach.");
    }
    else
    {
        int n = m_num_homogeneous_points[0] * m_num_homogeneous_points[1];
        int s = npts;
 
        int pts_per_line = s / n;
 
        int packed_len = pts_per_line * m_num_homogeneous_points[1];
 
        for (int i = 0; i < packed_len; ++i)
        {
            Vmath::Vcopy(m_num_homogeneous_points[0], &(inarray[i]), packed_len,
                         &(outarray[i * m_num_homogeneous_points[0]]), 1);
        }
    }
}
 
// TODO: Impelement 2D and 3D transposition routines
} // namespace LibUtilities
} // namespace Nektar