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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