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/* Implementation of the MATMUL intrinsic

   Copyright 2002, 2005, 2006, 2007, 2009 Free Software Foundation, Inc.

   Contributed by Paul Brook <paul@nowt.org>

This file is part of the GNU Fortran 95 runtime library (libgfortran).

Libgfortran is free software; you can redistribute it and/or

modify it under the terms of the GNU General Public

License as published by the Free Software Foundation; either

version 3 of the License, or (at your option) any later version.

Libgfortran 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 General Public License for more details.

Under Section 7 of GPL version 3, you are granted additional

permissions described in the GCC Runtime Library Exception, version

3.1, as published by the Free Software Foundation.

You should have received a copy of the GNU General Public License and

a copy of the GCC Runtime Library Exception along with this program;

see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see

<http://www.gnu.org/licenses/>.  */

#include "libgfortran.h"

#include <stdlib.h>

#include <string.h>

#include <assert.h>

#if defined (HAVE_GFC_REAL_8)

/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be

   passed to us by the front-end, in which case we'll call it for large

   matrices.  */

typedef void (*blas_call)(const char *, const char *, const int *, const int *,

                          const int *, const GFC_REAL_8 *, const GFC_REAL_8 *,

                          const int *, const GFC_REAL_8 *, const int *,

                          const GFC_REAL_8 *, GFC_REAL_8 *, const int *,

                          int, int);

/* The order of loops is different in the case of plain matrix

   multiplication C=MATMUL(A,B), and in the frequent special case where

   the argument A is the temporary result of a TRANSPOSE intrinsic:

   C=MATMUL(TRANSPOSE(A),B).  Transposed temporaries are detected by

   looking at their strides.

   The equivalent Fortran pseudo-code is:

   DIMENSION A(M,COUNT), B(COUNT,N), C(M,N)

   IF (.NOT.IS_TRANSPOSED(A)) THEN

     C = 0

     DO J=1,N

       DO K=1,COUNT

         DO I=1,M

           C(I,J) = C(I,J)+A(I,K)*B(K,J)

   ELSE

     DO J=1,N

       DO I=1,M

         S = 0

         DO K=1,COUNT

           S = S+A(I,K)*B(K,J)

         C(I,J) = S

   ENDIF

*/

/* If try_blas is set to a nonzero value, then the matmul function will

   see if there is a way to perform the matrix multiplication by a call

   to the BLAS gemm function.  */

extern void matmul_r8 (gfc_array_r8 * const restrict retarray,

        gfc_array_r8 * const restrict a, gfc_array_r8 * const restrict b, int try_blas,

        int blas_limit, blas_call gemm);

export_proto(matmul_r8);

void

matmul_r8 (gfc_array_r8 * const restrict retarray,

        gfc_array_r8 * const restrict a, gfc_array_r8 * const restrict b, int try_blas,

        int blas_limit, blas_call gemm)

{

  const GFC_REAL_8 * restrict abase;

  const GFC_REAL_8 * restrict bbase;

  GFC_REAL_8 * restrict dest;

  index_type rxstride, rystride, axstride, aystride, bxstride, bystride;

  index_type x, y, n, count, xcount, ycount;

  assert (GFC_DESCRIPTOR_RANK (a) == 2

          || GFC_DESCRIPTOR_RANK (b) == 2);

/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]

   Either A or B (but not both) can be rank 1:

   o One-dimensional argument A is implicitly treated as a row matrix

     dimensioned [1,count], so xcount=1.

   o One-dimensional argument B is implicitly treated as a column matrix

     dimensioned [count, 1], so ycount=1.

  */

  if (retarray->data == NULL)

    {

      if (GFC_DESCRIPTOR_RANK (a) == 1)

        {

          GFC_DIMENSION_SET(retarray->dim[0], 0,

                            GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);

        }

      else if (GFC_DESCRIPTOR_RANK (b) == 1)

        {

          GFC_DIMENSION_SET(retarray->dim[0], 0,

                            GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);

        }

      else

        {

          GFC_DIMENSION_SET(retarray->dim[0], 0,

                            GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);

          GFC_DIMENSION_SET(retarray->dim[1], 0,

                            GFC_DESCRIPTOR_EXTENT(b,1) - 1,

                            GFC_DESCRIPTOR_EXTENT(retarray,0));

        }

      retarray->data

        = internal_malloc_size (sizeof (GFC_REAL_8) * size0 ((array_t *) retarray));

      retarray->offset = 0;

    }

    else if (unlikely (compile_options.bounds_check))

      {

        index_type ret_extent, arg_extent;

        if (GFC_DESCRIPTOR_RANK (a) == 1)

          {

            arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);

            ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);

            if (arg_extent != ret_extent)

              runtime_error ("Incorrect extent in return array in"

                             " MATMUL intrinsic: is %ld, should be %ld",

                             (long int) ret_extent, (long int) arg_extent);

          }

        else if (GFC_DESCRIPTOR_RANK (b) == 1)

          {

            arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);

            ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);

            if (arg_extent != ret_extent)

              runtime_error ("Incorrect extent in return array in"

                             " MATMUL intrinsic: is %ld, should be %ld",

                             (long int) ret_extent, (long int) arg_extent);

          }

        else

          {

            arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);

            ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);

            if (arg_extent != ret_extent)

              runtime_error ("Incorrect extent in return array in"

                             " MATMUL intrinsic for dimension 1:"

                             " is %ld, should be %ld",

                             (long int) ret_extent, (long int) arg_extent);

            arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);

            ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);

            if (arg_extent != ret_extent)

              runtime_error ("Incorrect extent in return array in"

                             " MATMUL intrinsic for dimension 2:"

                             " is %ld, should be %ld",

                             (long int) ret_extent, (long int) arg_extent);

          }

      }

  if (GFC_DESCRIPTOR_RANK (retarray) == 1)

    {

      /* One-dimensional result may be addressed in the code below

         either as a row or a column matrix. We want both cases to

         work. */

      rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);

    }

  else

    {

      rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);

      rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);

    }

  if (GFC_DESCRIPTOR_RANK (a) == 1)

    {

      /* Treat it as a a row matrix A[1,count]. */

      axstride = GFC_DESCRIPTOR_STRIDE(a,0);

      aystride = 1;

      xcount = 1;

      count = GFC_DESCRIPTOR_EXTENT(a,0);

    }

  else

    {

      axstride = GFC_DESCRIPTOR_STRIDE(a,0);

      aystride = GFC_DESCRIPTOR_STRIDE(a,1);

      count = GFC_DESCRIPTOR_EXTENT(a,1);

      xcount = GFC_DESCRIPTOR_EXTENT(a,0);

    }

  if (count != GFC_DESCRIPTOR_EXTENT(b,0))

    {

      if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)

        runtime_error ("dimension of array B incorrect in MATMUL intrinsic");

    }

  if (GFC_DESCRIPTOR_RANK (b) == 1)

    {

      /* Treat it as a column matrix B[count,1] */

      bxstride = GFC_DESCRIPTOR_STRIDE(b,0);

      /* bystride should never be used for 1-dimensional b.

         in case it is we want it to cause a segfault, rather than

         an incorrect result. */

      bystride = 0xDEADBEEF;

      ycount = 1;

    }

  else

    {

      bxstride = GFC_DESCRIPTOR_STRIDE(b,0);

      bystride = GFC_DESCRIPTOR_STRIDE(b,1);

      ycount = GFC_DESCRIPTOR_EXTENT(b,1);

    }

  abase = a->data;

  bbase = b->data;

  dest = retarray->data;

  /* Now that everything is set up, we're performing the multiplication

     itself.  */

#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))

  if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)

      && (bxstride == 1 || bystride == 1)

      && (((float) xcount) * ((float) ycount) * ((float) count)

          > POW3(blas_limit)))

  {

    const int m = xcount, n = ycount, k = count, ldc = rystride;

    const GFC_REAL_8 one = 1, zero = 0;

    const int lda = (axstride == 1) ? aystride : axstride,

              ldb = (bxstride == 1) ? bystride : bxstride;

    if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)

      {

        assert (gemm != NULL);

        gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m, &n, &k,

              &one, abase, &lda, bbase, &ldb, &zero, dest, &ldc, 1, 1);

        return;

      }

  }

  if (rxstride == 1 && axstride == 1 && bxstride == 1)

    {

      const GFC_REAL_8 * restrict bbase_y;

      GFC_REAL_8 * restrict dest_y;

      const GFC_REAL_8 * restrict abase_n;

      GFC_REAL_8 bbase_yn;

      if (rystride == xcount)

        memset (dest, 0, (sizeof (GFC_REAL_8) * xcount * ycount));

      else

        {

          for (y = 0; y < ycount; y++)

            for (x = 0; x < xcount; x++)

              dest[x + y*rystride] = (GFC_REAL_8)0;

        }

      for (y = 0; y < ycount; y++)

        {

          bbase_y = bbase + y*bystride;

          dest_y = dest + y*rystride;

          for (n = 0; n < count; n++)

            {

              abase_n = abase + n*aystride;

              bbase_yn = bbase_y[n];

              for (x = 0; x < xcount; x++)

                {

                  dest_y[x] += abase_n[x] * bbase_yn;

                }

            }

        }

    }

  else if (rxstride == 1 && aystride == 1 && bxstride == 1)

    {

      if (GFC_DESCRIPTOR_RANK (a) != 1)

        {

          const GFC_REAL_8 *restrict abase_x;

          const GFC_REAL_8 *restrict bbase_y;

          GFC_REAL_8 *restrict dest_y;

          GFC_REAL_8 s;

          for (y = 0; y < ycount; y++)

            {

              bbase_y = &bbase[y*bystride];

              dest_y = &dest[y*rystride];

              for (x = 0; x < xcount; x++)

                {

                  abase_x = &abase[x*axstride];

                  s = (GFC_REAL_8) 0;

                  for (n = 0; n < count; n++)

                    s += abase_x[n] * bbase_y[n];

                  dest_y[x] = s;

                }

            }

        }

      else

        {

          const GFC_REAL_8 *restrict bbase_y;

          GFC_REAL_8 s;

          for (y = 0; y < ycount; y++)

            {

              bbase_y = &bbase[y*bystride];

              s = (GFC_REAL_8) 0;

              for (n = 0; n < count; n++)

                s += abase[n*axstride] * bbase_y[n];

              dest[y*rystride] = s;

            }

        }

    }

  else if (axstride < aystride)

    {

      for (y = 0; y < ycount; y++)

        for (x = 0; x < xcount; x++)

          dest[x*rxstride + y*rystride] = (GFC_REAL_8)0;

      for (y = 0; y < ycount; y++)

        for (n = 0; n < count; n++)

          for (x = 0; x < xcount; x++)

            /* dest[x,y] += a[x,n] * b[n,y] */

            dest[x*rxstride + y*rystride] += abase[x*axstride + n*aystride] * bbase[n*bxstride + y*bystride];

    }

  else if (GFC_DESCRIPTOR_RANK (a) == 1)

    {

      const GFC_REAL_8 *restrict bbase_y;

      GFC_REAL_8 s;

      for (y = 0; y < ycount; y++)

        {

          bbase_y = &bbase[y*bystride];

          s = (GFC_REAL_8) 0;

          for (n = 0; n < count; n++)

            s += abase[n*axstride] * bbase_y[n*bxstride];

          dest[y*rxstride] = s;

        }

    }

  else

    {

      const GFC_REAL_8 *restrict abase_x;

      const GFC_REAL_8 *restrict bbase_y;

      GFC_REAL_8 *restrict dest_y;

      GFC_REAL_8 s;

      for (y = 0; y < ycount; y++)

        {

          bbase_y = &bbase[y*bystride];

          dest_y = &dest[y*rystride];

          for (x = 0; x < xcount; x++)

            {

              abase_x = &abase[x*axstride];

              s = (GFC_REAL_8) 0;

              for (n = 0; n < count; n++)

                s += abase_x[n*aystride] * bbase_y[n*bxstride];

              dest_y[x*rxstride] = s;

            }

        }

    }

}

#endif