/*
 * This file is part of the GROMACS molecular simulation package.
 *
 * Copyright 1991- The GROMACS Authors
 * and the project initiators Erik Lindahl, Berk Hess and David van der Spoel.
 * Consult the AUTHORS/COPYING files and https://www.gromacs.org for details.
 *
 * GROMACS 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 2.1
 * of the License, or (at your option) any later version.
 *
 * GROMACS 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 for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with GROMACS; if not, see
 * https://www.gnu.org/licenses, or write to the Free Software Foundation,
 * Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA.
 *
 * If you want to redistribute modifications to GROMACS, please
 * consider that scientific software is very special. Version
 * control is crucial - bugs must be traceable. We will be happy to
 * consider code for inclusion in the official distribution, but
 * derived work must not be called official GROMACS. Details are found
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 * official version at https://www.gromacs.org.
 *
 * To help us fund GROMACS development, we humbly ask that you cite
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 */
#include "gmxpre.h"

#include "config.h"

#include <fftw3.h>

#include <cerrno>
#include <cstdlib>

#include <mutex>

#include "gromacs/fft/fft.h"
#include "gromacs/utility/exceptions.h"
#include "gromacs/utility/fatalerror.h"

#if GMX_DOUBLE
#    define FFTWPREFIX(name) fftw_##name
#else
#    define FFTWPREFIX(name) fftwf_##name
#endif

/* none of the fftw3 calls, except execute(), are thread-safe, so
   we need to serialize them with this mutex. */
// NOLINTNEXTLINE(cppcoreguidelines-avoid-non-const-global-variables)
static std::mutex big_fftw_mutex;
#define FFTW_LOCK              \
    try                        \
    {                          \
        big_fftw_mutex.lock(); \
    }                          \
    GMX_CATCH_ALL_AND_EXIT_WITH_FATAL_ERROR
#define FFTW_UNLOCK              \
    try                          \
    {                            \
        big_fftw_mutex.unlock(); \
    }                            \
    GMX_CATCH_ALL_AND_EXIT_WITH_FATAL_ERROR

/* We assume here that aligned memory starts at multiple of 16 bytes and unaligned memory starts at multiple of 8 bytes. The later is guranteed for all malloc implementation.
   Consequesences:
   - It is not allowed to use these FFT plans from memory which doesn't have a starting address as a multiple of 8 bytes.
     This is OK as long as the memory directly comes from malloc and is not some subarray within alloated memory.
   - This has to be fixed if any future architecute requires memory to be aligned to multiples of 32 bytes.
 */
/*! \internal
 * \brief
 * Contents of the FFTW3 fft datatype.
 *
 * Note that this is one of several possible implementations of gmx_fft_t.
 */
#ifdef DOXYGEN
struct gmx_fft_fftw3
#else
struct gmx_fft
#endif
{
    /*! \brief
     * FFTW plans.
     *
     * Three alternatives (unaligned/aligned, out-of-place/in-place, forward/backward)
     * results in 8 different FFTW plans. Keep track of them with 3 array indices:
     * first index:   0=unaligned, 1=aligned
     * second index:  0=out-of-place, 1=in-place
     * third index:   0=backward, 1=forward
     */
    FFTWPREFIX(plan) plan[2][2][2];
    /** Used to catch user mistakes */
    int real_transform;
    /** Number of dimensions in the FFT */
    int ndim;
};

int gmx_fft_init_1d(gmx_fft_t* pfft, int nx, gmx_fft_flag flags)
{
    return gmx_fft_init_many_1d(pfft, nx, 1, flags);
}


int gmx_fft_init_many_1d(gmx_fft_t* pfft, int nx, int howmany, gmx_fft_flag flags)
{
    gmx_fft_t fft;
    FFTWPREFIX(complex) * p1, *p2, *up1, *up2;
    char* pc;
    int   i, j, k;
    int   fftw_flags;

#if GMX_DISABLE_FFTW_MEASURE
    flags |= GMX_FFT_FLAG_CONSERVATIVE;
#endif

    fftw_flags = (flags & GMX_FFT_FLAG_CONSERVATIVE) ? FFTW_ESTIMATE : FFTW_MEASURE;

    if (pfft == nullptr)
    {
        gmx_fatal(FARGS, "Invalid opaque FFT datatype pointer.");
        return EINVAL;
    }
    *pfft = nullptr;

    FFTW_LOCK
    if ((fft = static_cast<gmx_fft_t>(FFTWPREFIX(malloc)(sizeof(struct gmx_fft)))) == nullptr)
    {
        FFTW_UNLOCK
        return ENOMEM;
    }

    /* allocate aligned, and extra memory to make it unaligned */
    p1 = static_cast<FFTWPREFIX(complex)*>(
            FFTWPREFIX(malloc)(sizeof(FFTWPREFIX(complex)) * (nx + 2) * howmany));
    if (p1 == nullptr)
    {
        FFTWPREFIX(free)(fft);
        FFTW_UNLOCK
        return ENOMEM;
    }

    p2 = static_cast<FFTWPREFIX(complex)*>(
            FFTWPREFIX(malloc)(sizeof(FFTWPREFIX(complex)) * (nx + 2) * howmany));
    if (p2 == nullptr)
    {
        FFTWPREFIX(free)(p1);
        FFTWPREFIX(free)(fft);
        FFTW_UNLOCK
        return ENOMEM;
    }

    /* make unaligned pointers.
     * In double precision the actual complex datatype will be 16 bytes,
     * so go to a char pointer and force an offset of 8 bytes instead.
     */
    pc = reinterpret_cast<char*>(p1);
    pc += 8;
    up1 = reinterpret_cast<FFTWPREFIX(complex)*>(pc);

    pc = reinterpret_cast<char*>(p2);
    pc += 8;
    up2 = reinterpret_cast<FFTWPREFIX(complex)*>(pc);

    /*                            int rank, const int *n, int howmany,
                                  fftw_complex *in, const int *inembed,
                                  int istride, int idist,
                                  fftw_complex *out, const int *onembed,
                                  int ostride, int odist,
                                  int sign, unsigned flags */
    fft->plan[0][0][0] = FFTWPREFIX(plan_many_dft)(
            1, &nx, howmany, up1, &nx, 1, nx, up2, &nx, 1, nx, FFTW_BACKWARD, fftw_flags);
    fft->plan[0][0][1] = FFTWPREFIX(plan_many_dft)(
            1, &nx, howmany, up1, &nx, 1, nx, up2, &nx, 1, nx, FFTW_FORWARD, fftw_flags);
    fft->plan[0][1][0] = FFTWPREFIX(plan_many_dft)(
            1, &nx, howmany, up1, &nx, 1, nx, up1, &nx, 1, nx, FFTW_BACKWARD, fftw_flags);
    fft->plan[0][1][1] = FFTWPREFIX(plan_many_dft)(
            1, &nx, howmany, up1, &nx, 1, nx, up1, &nx, 1, nx, FFTW_FORWARD, fftw_flags);
    fft->plan[1][0][0] = FFTWPREFIX(plan_many_dft)(
            1, &nx, howmany, p1, &nx, 1, nx, p2, &nx, 1, nx, FFTW_BACKWARD, fftw_flags);
    fft->plan[1][0][1] = FFTWPREFIX(plan_many_dft)(
            1, &nx, howmany, p1, &nx, 1, nx, p2, &nx, 1, nx, FFTW_FORWARD, fftw_flags);
    fft->plan[1][1][0] = FFTWPREFIX(plan_many_dft)(
            1, &nx, howmany, p1, &nx, 1, nx, p1, &nx, 1, nx, FFTW_BACKWARD, fftw_flags);
    fft->plan[1][1][1] = FFTWPREFIX(plan_many_dft)(
            1, &nx, howmany, p1, &nx, 1, nx, p1, &nx, 1, nx, FFTW_FORWARD, fftw_flags);

    for (i = 0; i < 2; i++)
    {
        for (j = 0; j < 2; j++)
        {
            for (k = 0; k < 2; k++)
            {
                if (fft->plan[i][j][k] == nullptr)
                {
                    gmx_fatal(FARGS, "Error initializing FFTW3 plan.");
                    FFTW_UNLOCK
                    gmx_fft_destroy(fft);
                    FFTW_LOCK
                    FFTWPREFIX(free)(p1);
                    FFTWPREFIX(free)(p2);
                    FFTW_UNLOCK
                    return -1;
                }
            }
        }
    }

    FFTWPREFIX(free)(p1);
    FFTWPREFIX(free)(p2);

    fft->real_transform = 0;
    fft->ndim           = 1;

    *pfft = fft;
    FFTW_UNLOCK
    return 0;
}

int gmx_fft_init_1d_real(gmx_fft_t* pfft, int nx, gmx_fft_flag flags)
{
    return gmx_fft_init_many_1d_real(pfft, nx, 1, flags);
}

int gmx_fft_init_many_1d_real(gmx_fft_t* pfft, int nx, int howmany, gmx_fft_flag flags)
{
    gmx_fft_t fft;
    real *    p1, *p2, *up1, *up2;
    char*     pc;
    int       i, j, k;
    int       fftw_flags;

#if GMX_DISABLE_FFTW_MEASURE
    flags |= GMX_FFT_FLAG_CONSERVATIVE;
#endif

    fftw_flags = (flags & GMX_FFT_FLAG_CONSERVATIVE) ? FFTW_ESTIMATE : FFTW_MEASURE;

    if (pfft == nullptr)
    {
        gmx_fatal(FARGS, "Invalid opaque FFT datatype pointer.");
        return EINVAL;
    }
    *pfft = nullptr;

    FFTW_LOCK
    if ((fft = static_cast<gmx_fft_t>(FFTWPREFIX(malloc)(sizeof(struct gmx_fft)))) == nullptr)
    {
        FFTW_UNLOCK
        return ENOMEM;
    }

    /* allocate aligned, and extra memory to make it unaligned */
    p1 = static_cast<real*>(FFTWPREFIX(malloc)(sizeof(real) * (nx / 2 + 1) * 2 * howmany + 8));
    if (p1 == nullptr)
    {
        FFTWPREFIX(free)(fft);
        FFTW_UNLOCK
        return ENOMEM;
    }

    p2 = static_cast<real*>(FFTWPREFIX(malloc)(sizeof(real) * (nx / 2 + 1) * 2 * howmany + 8));
    if (p2 == nullptr)
    {
        FFTWPREFIX(free)(p1);
        FFTWPREFIX(free)(fft);
        FFTW_UNLOCK
        return ENOMEM;
    }

    /* make unaligned pointers.
     * In double precision the actual complex datatype will be 16 bytes,
     * so go to a char pointer and force an offset of 8 bytes instead.
     */
    pc = reinterpret_cast<char*>(p1);
    pc += 8;
    up1 = reinterpret_cast<real*>(pc);

    pc = reinterpret_cast<char*>(p2);
    pc += 8;
    up2 = reinterpret_cast<real*>(pc);

    /*                                int rank, const int *n, int howmany,
                                      double *in, const int *inembed,
                                      int istride, int idist,
                                      fftw_complex *out, const int *onembed,
                                      int ostride, int odist,
                                      unsigned flag    */
    fft->plan[0][0][1] = FFTWPREFIX(plan_many_dft_r2c)(1,
                                                       &nx,
                                                       howmany,
                                                       up1,
                                                       nullptr,
                                                       1,
                                                       (nx / 2 + 1) * 2,
                                                       reinterpret_cast<FFTWPREFIX(complex)*>(up2),
                                                       nullptr,
                                                       1,
                                                       (nx / 2 + 1),
                                                       fftw_flags);
    fft->plan[0][1][1] = FFTWPREFIX(plan_many_dft_r2c)(1,
                                                       &nx,
                                                       howmany,
                                                       up1,
                                                       nullptr,
                                                       1,
                                                       (nx / 2 + 1) * 2,
                                                       reinterpret_cast<FFTWPREFIX(complex)*>(up1),
                                                       nullptr,
                                                       1,
                                                       (nx / 2 + 1),
                                                       fftw_flags);
    fft->plan[1][0][1] = FFTWPREFIX(plan_many_dft_r2c)(1,
                                                       &nx,
                                                       howmany,
                                                       p1,
                                                       nullptr,
                                                       1,
                                                       (nx / 2 + 1) * 2,
                                                       reinterpret_cast<FFTWPREFIX(complex)*>(p2),
                                                       nullptr,
                                                       1,
                                                       (nx / 2 + 1),
                                                       fftw_flags);
    fft->plan[1][1][1] = FFTWPREFIX(plan_many_dft_r2c)(1,
                                                       &nx,
                                                       howmany,
                                                       p1,
                                                       nullptr,
                                                       1,
                                                       (nx / 2 + 1) * 2,
                                                       reinterpret_cast<FFTWPREFIX(complex)*>(p1),
                                                       nullptr,
                                                       1,
                                                       (nx / 2 + 1),
                                                       fftw_flags);

    fft->plan[0][0][0] = FFTWPREFIX(plan_many_dft_c2r)(1,
                                                       &nx,
                                                       howmany,
                                                       reinterpret_cast<FFTWPREFIX(complex)*>(up1),
                                                       nullptr,
                                                       1,
                                                       (nx / 2 + 1),
                                                       up2,
                                                       nullptr,
                                                       1,
                                                       (nx / 2 + 1) * 2,
                                                       fftw_flags);
    fft->plan[0][1][0] = FFTWPREFIX(plan_many_dft_c2r)(1,
                                                       &nx,
                                                       howmany,
                                                       reinterpret_cast<FFTWPREFIX(complex)*>(up1),
                                                       nullptr,
                                                       1,
                                                       (nx / 2 + 1),
                                                       up1,
                                                       nullptr,
                                                       1,
                                                       (nx / 2 + 1) * 2,
                                                       fftw_flags);
    fft->plan[1][0][0] = FFTWPREFIX(plan_many_dft_c2r)(1,
                                                       &nx,
                                                       howmany,
                                                       reinterpret_cast<FFTWPREFIX(complex)*>(p1),
                                                       nullptr,
                                                       1,
                                                       (nx / 2 + 1),
                                                       p2,
                                                       nullptr,
                                                       1,
                                                       (nx / 2 + 1) * 2,
                                                       fftw_flags);
    fft->plan[1][1][0] = FFTWPREFIX(plan_many_dft_c2r)(1,
                                                       &nx,
                                                       howmany,
                                                       reinterpret_cast<FFTWPREFIX(complex)*>(p1),
                                                       nullptr,
                                                       1,
                                                       (nx / 2 + 1),
                                                       p1,
                                                       nullptr,
                                                       1,
                                                       (nx / 2 + 1) * 2,
                                                       fftw_flags);

    for (i = 0; i < 2; i++)
    {
        for (j = 0; j < 2; j++)
        {
            for (k = 0; k < 2; k++)
            {
                if (fft->plan[i][j][k] == nullptr)
                {
                    gmx_fatal(FARGS, "Error initializing FFTW3 plan.");
                    FFTW_UNLOCK
                    gmx_fft_destroy(fft);
                    FFTW_LOCK
                    FFTWPREFIX(free)(p1);
                    FFTWPREFIX(free)(p2);
                    FFTW_UNLOCK
                    return -1;
                }
            }
        }
    }

    FFTWPREFIX(free)(p1);
    FFTWPREFIX(free)(p2);

    fft->real_transform = 1;
    fft->ndim           = 1;

    *pfft = fft;
    FFTW_UNLOCK
    return 0;
}


int gmx_fft_init_2d_real(gmx_fft_t* pfft, int nx, int ny, gmx_fft_flag flags)
{
    gmx_fft_t fft;
    real *    p1, *p2, *up1, *up2;
    char*     pc;
    int       i, j, k;
    int       fftw_flags;

#if GMX_DISABLE_FFTW_MEASURE
    flags |= GMX_FFT_FLAG_CONSERVATIVE;
#endif

    fftw_flags = (flags & GMX_FFT_FLAG_CONSERVATIVE) ? FFTW_ESTIMATE : FFTW_MEASURE;

    if (pfft == nullptr)
    {
        gmx_fatal(FARGS, "Invalid opaque FFT datatype pointer.");
        return EINVAL;
    }
    *pfft = nullptr;

    FFTW_LOCK
    if ((fft = static_cast<gmx_fft_t>(FFTWPREFIX(malloc)(sizeof(struct gmx_fft)))) == nullptr)
    {
        FFTW_UNLOCK
        return ENOMEM;
    }

    /* allocate aligned, and extra memory to make it unaligned */
    p1 = static_cast<real*>(FFTWPREFIX(malloc)(sizeof(real) * (nx * (ny / 2 + 1) * 2 + 2)));
    if (p1 == nullptr)
    {
        FFTWPREFIX(free)(fft);
        FFTW_UNLOCK
        return ENOMEM;
    }

    p2 = static_cast<real*>(FFTWPREFIX(malloc)(sizeof(real) * (nx * (ny / 2 + 1) * 2 + 2)));
    if (p2 == nullptr)
    {
        FFTWPREFIX(free)(p1);
        FFTWPREFIX(free)(fft);
        FFTW_UNLOCK
        return ENOMEM;
    }

    /* make unaligned pointers.
     * In double precision the actual complex datatype will be 16 bytes,
     * so go to a char pointer and force an offset of 8 bytes instead.
     */
    pc = reinterpret_cast<char*>(p1);
    pc += 8;
    up1 = reinterpret_cast<real*>(pc);

    pc = reinterpret_cast<char*>(p2);
    pc += 8;
    up2 = reinterpret_cast<real*>(pc);


    fft->plan[0][0][0] = FFTWPREFIX(plan_dft_c2r_2d)(
            nx, ny, reinterpret_cast<FFTWPREFIX(complex)*>(up1), up2, fftw_flags);
    fft->plan[0][0][1] = FFTWPREFIX(plan_dft_r2c_2d)(
            nx, ny, up1, reinterpret_cast<FFTWPREFIX(complex)*>(up2), fftw_flags);
    fft->plan[0][1][0] = FFTWPREFIX(plan_dft_c2r_2d)(
            nx, ny, reinterpret_cast<FFTWPREFIX(complex)*>(up1), up1, fftw_flags);
    fft->plan[0][1][1] = FFTWPREFIX(plan_dft_r2c_2d)(
            nx, ny, up1, reinterpret_cast<FFTWPREFIX(complex)*>(up1), fftw_flags);

    fft->plan[1][0][0] = FFTWPREFIX(plan_dft_c2r_2d)(
            nx, ny, reinterpret_cast<FFTWPREFIX(complex)*>(p1), p2, fftw_flags);
    fft->plan[1][0][1] = FFTWPREFIX(plan_dft_r2c_2d)(
            nx, ny, p1, reinterpret_cast<FFTWPREFIX(complex)*>(p2), fftw_flags);
    fft->plan[1][1][0] = FFTWPREFIX(plan_dft_c2r_2d)(
            nx, ny, reinterpret_cast<FFTWPREFIX(complex)*>(p1), p1, fftw_flags);
    fft->plan[1][1][1] = FFTWPREFIX(plan_dft_r2c_2d)(
            nx, ny, p1, reinterpret_cast<FFTWPREFIX(complex)*>(p1), fftw_flags);


    for (i = 0; i < 2; i++)
    {
        for (j = 0; j < 2; j++)
        {
            for (k = 0; k < 2; k++)
            {
                if (fft->plan[i][j][k] == nullptr)
                {
                    gmx_fatal(FARGS, "Error initializing FFTW3 plan.");
                    FFTW_UNLOCK
                    gmx_fft_destroy(fft);
                    FFTW_LOCK
                    FFTWPREFIX(free)(p1);
                    FFTWPREFIX(free)(p2);
                    FFTW_UNLOCK
                    return -1;
                }
            }
        }
    }

    FFTWPREFIX(free)(p1);
    FFTWPREFIX(free)(p2);

    fft->real_transform = 1;
    fft->ndim           = 2;

    *pfft = fft;
    FFTW_UNLOCK
    return 0;
}

int gmx_fft_1d(gmx_fft_t fft, enum gmx_fft_direction dir, void* in_data, void* out_data)
{
    bool aligned   = (((size_t(in_data) | size_t(out_data)) & 0xf) == 0);
    bool inplace   = (in_data == out_data);
    bool isforward = (dir == GMX_FFT_FORWARD);

    /* Some checks */
    if ((fft->real_transform == 1) || (fft->ndim != 1)
        || ((dir != GMX_FFT_FORWARD) && (dir != GMX_FFT_BACKWARD)))
    {
        gmx_fatal(FARGS, "FFT plan mismatch - bad plan or direction.");
        return EINVAL;
    }

    FFTWPREFIX(execute_dft)
    (fft->plan[aligned][inplace][isforward],
     static_cast<FFTWPREFIX(complex)*>(in_data),
     static_cast<FFTWPREFIX(complex)*>(out_data));

    return 0;
}

int gmx_fft_many_1d(gmx_fft_t fft, enum gmx_fft_direction dir, void* in_data, void* out_data)
{
    return gmx_fft_1d(fft, dir, in_data, out_data);
}

int gmx_fft_1d_real(gmx_fft_t fft, enum gmx_fft_direction dir, void* in_data, void* out_data)
{
    bool aligned   = (((size_t(in_data) | size_t(out_data)) & 0xf) == 0);
    bool inplace   = (in_data == out_data);
    bool isforward = (dir == GMX_FFT_REAL_TO_COMPLEX);

    /* Some checks */
    if ((fft->real_transform != 1) || (fft->ndim != 1)
        || ((dir != GMX_FFT_REAL_TO_COMPLEX) && (dir != GMX_FFT_COMPLEX_TO_REAL)))
    {
        gmx_fatal(FARGS, "FFT plan mismatch - bad plan or direction.");
        return EINVAL;
    }

    if (isforward)
    {
        FFTWPREFIX(execute_dft_r2c)
        (fft->plan[aligned][inplace][isforward],
         static_cast<real*>(in_data),
         static_cast<FFTWPREFIX(complex)*>(out_data));
    }
    else
    {
        FFTWPREFIX(execute_dft_c2r)
        (fft->plan[aligned][inplace][isforward],
         static_cast<FFTWPREFIX(complex)*>(in_data),
         static_cast<real*>(out_data));
    }

    return 0;
}

int gmx_fft_many_1d_real(gmx_fft_t fft, enum gmx_fft_direction dir, void* in_data, void* out_data)
{
    return gmx_fft_1d_real(fft, dir, in_data, out_data);
}

int gmx_fft_2d_real(gmx_fft_t fft, enum gmx_fft_direction dir, void* in_data, void* out_data)
{
    bool aligned   = (((size_t(in_data) | size_t(out_data)) & 0xf) == 0);
    bool inplace   = (in_data == out_data);
    bool isforward = (dir == GMX_FFT_REAL_TO_COMPLEX);

    /* Some checks */
    if ((fft->real_transform != 1) || (fft->ndim != 2)
        || ((dir != GMX_FFT_REAL_TO_COMPLEX) && (dir != GMX_FFT_COMPLEX_TO_REAL)))
    {
        gmx_fatal(FARGS, "FFT plan mismatch - bad plan or direction.");
        return EINVAL;
    }

    if (isforward)
    {
        FFTWPREFIX(execute_dft_r2c)
        (fft->plan[aligned][inplace][isforward],
         static_cast<real*>(in_data),
         static_cast<FFTWPREFIX(complex)*>(out_data));
    }
    else
    {
        FFTWPREFIX(execute_dft_c2r)
        (fft->plan[aligned][inplace][isforward],
         static_cast<FFTWPREFIX(complex)*>(in_data),
         static_cast<real*>(out_data));
    }


    return 0;
}

void gmx_fft_destroy(gmx_fft_t fft)
{
    int i, j, k;

    if (fft != nullptr)
    {
        for (i = 0; i < 2; i++)
        {
            for (j = 0; j < 2; j++)
            {
                for (k = 0; k < 2; k++)
                {
                    if (fft->plan[i][j][k] != nullptr)
                    {
                        FFTW_LOCK
                        FFTWPREFIX(destroy_plan)(fft->plan[i][j][k]);
                        FFTW_UNLOCK
                        fft->plan[i][j][k] = nullptr;
                    }
                }
            }
        }
        FFTW_LOCK
        FFTWPREFIX(free)(fft);
        FFTW_UNLOCK
    }
}

void gmx_many_fft_destroy(gmx_fft_t fft)
{
    gmx_fft_destroy(fft);
}

void gmx_fft_cleanup()
{
    FFTWPREFIX(cleanup)();
}
