377 lines
11 KiB
C
377 lines
11 KiB
C
/* Implementation of the MATMUL intrinsic
|
|
Copyright (C) 2002-2015 Free Software Foundation, Inc.
|
|
Contributed by Paul Brook <paul@nowt.org>
|
|
|
|
This file is part of the GNU Fortran 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_COMPLEX_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_COMPLEX_8 *, const GFC_COMPLEX_8 *,
|
|
const int *, const GFC_COMPLEX_8 *, const int *,
|
|
const GFC_COMPLEX_8 *, GFC_COMPLEX_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_c8 (gfc_array_c8 * const restrict retarray,
|
|
gfc_array_c8 * const restrict a, gfc_array_c8 * const restrict b, int try_blas,
|
|
int blas_limit, blas_call gemm);
|
|
export_proto(matmul_c8);
|
|
|
|
void
|
|
matmul_c8 (gfc_array_c8 * const restrict retarray,
|
|
gfc_array_c8 * const restrict a, gfc_array_c8 * const restrict b, int try_blas,
|
|
int blas_limit, blas_call gemm)
|
|
{
|
|
const GFC_COMPLEX_8 * restrict abase;
|
|
const GFC_COMPLEX_8 * restrict bbase;
|
|
GFC_COMPLEX_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->base_addr == 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->base_addr
|
|
= xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_COMPLEX_8));
|
|
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->base_addr;
|
|
bbase = b->base_addr;
|
|
dest = retarray->base_addr;
|
|
|
|
|
|
/* 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_COMPLEX_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_COMPLEX_8 * restrict bbase_y;
|
|
GFC_COMPLEX_8 * restrict dest_y;
|
|
const GFC_COMPLEX_8 * restrict abase_n;
|
|
GFC_COMPLEX_8 bbase_yn;
|
|
|
|
if (rystride == xcount)
|
|
memset (dest, 0, (sizeof (GFC_COMPLEX_8) * xcount * ycount));
|
|
else
|
|
{
|
|
for (y = 0; y < ycount; y++)
|
|
for (x = 0; x < xcount; x++)
|
|
dest[x + y*rystride] = (GFC_COMPLEX_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_COMPLEX_8 *restrict abase_x;
|
|
const GFC_COMPLEX_8 *restrict bbase_y;
|
|
GFC_COMPLEX_8 *restrict dest_y;
|
|
GFC_COMPLEX_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_COMPLEX_8) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase_x[n] * bbase_y[n];
|
|
dest_y[x] = s;
|
|
}
|
|
}
|
|
}
|
|
else
|
|
{
|
|
const GFC_COMPLEX_8 *restrict bbase_y;
|
|
GFC_COMPLEX_8 s;
|
|
|
|
for (y = 0; y < ycount; y++)
|
|
{
|
|
bbase_y = &bbase[y*bystride];
|
|
s = (GFC_COMPLEX_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_COMPLEX_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_COMPLEX_8 *restrict bbase_y;
|
|
GFC_COMPLEX_8 s;
|
|
|
|
for (y = 0; y < ycount; y++)
|
|
{
|
|
bbase_y = &bbase[y*bystride];
|
|
s = (GFC_COMPLEX_8) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase[n*axstride] * bbase_y[n*bxstride];
|
|
dest[y*rxstride] = s;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
const GFC_COMPLEX_8 *restrict abase_x;
|
|
const GFC_COMPLEX_8 *restrict bbase_y;
|
|
GFC_COMPLEX_8 *restrict dest_y;
|
|
GFC_COMPLEX_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_COMPLEX_8) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase_x[n*aystride] * bbase_y[n*bxstride];
|
|
dest_y[x*rxstride] = s;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
#endif
|