380 lines
11 KiB
C
380 lines
11 KiB
C
/* Implementation of the MATMUL intrinsic
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Copyright 2002, 2005, 2006, 2007, 2009 Free Software Foundation, Inc.
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Contributed by Paul Brook <paul@nowt.org>
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This file is part of the GNU Fortran 95 runtime library (libgfortran).
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Libgfortran is free software; you can redistribute it and/or
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modify it under the terms of the GNU General Public
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License as published by the Free Software Foundation; either
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version 3 of the License, or (at your option) any later version.
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Libgfortran is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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Under Section 7 of GPL version 3, you are granted additional
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permissions described in the GCC Runtime Library Exception, version
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3.1, as published by the Free Software Foundation.
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You should have received a copy of the GNU General Public License and
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a copy of the GCC Runtime Library Exception along with this program;
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see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
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<http://www.gnu.org/licenses/>. */
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#include "libgfortran.h"
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#include <stdlib.h>
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#include <string.h>
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#include <assert.h>
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#if defined (HAVE_GFC_REAL_10)
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/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be
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passed to us by the front-end, in which case we'll call it for large
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matrices. */
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typedef void (*blas_call)(const char *, const char *, const int *, const int *,
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const int *, const GFC_REAL_10 *, const GFC_REAL_10 *,
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const int *, const GFC_REAL_10 *, const int *,
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const GFC_REAL_10 *, GFC_REAL_10 *, const int *,
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int, int);
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/* The order of loops is different in the case of plain matrix
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multiplication C=MATMUL(A,B), and in the frequent special case where
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the argument A is the temporary result of a TRANSPOSE intrinsic:
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C=MATMUL(TRANSPOSE(A),B). Transposed temporaries are detected by
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looking at their strides.
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The equivalent Fortran pseudo-code is:
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DIMENSION A(M,COUNT), B(COUNT,N), C(M,N)
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IF (.NOT.IS_TRANSPOSED(A)) THEN
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C = 0
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DO J=1,N
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DO K=1,COUNT
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DO I=1,M
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C(I,J) = C(I,J)+A(I,K)*B(K,J)
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ELSE
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DO J=1,N
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DO I=1,M
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S = 0
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DO K=1,COUNT
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S = S+A(I,K)*B(K,J)
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C(I,J) = S
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ENDIF
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*/
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/* If try_blas is set to a nonzero value, then the matmul function will
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see if there is a way to perform the matrix multiplication by a call
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to the BLAS gemm function. */
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extern void matmul_r10 (gfc_array_r10 * const restrict retarray,
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gfc_array_r10 * const restrict a, gfc_array_r10 * const restrict b, int try_blas,
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int blas_limit, blas_call gemm);
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export_proto(matmul_r10);
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void
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matmul_r10 (gfc_array_r10 * const restrict retarray,
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gfc_array_r10 * const restrict a, gfc_array_r10 * const restrict b, int try_blas,
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int blas_limit, blas_call gemm)
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{
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const GFC_REAL_10 * restrict abase;
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const GFC_REAL_10 * restrict bbase;
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GFC_REAL_10 * restrict dest;
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index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
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index_type x, y, n, count, xcount, ycount;
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assert (GFC_DESCRIPTOR_RANK (a) == 2
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|| GFC_DESCRIPTOR_RANK (b) == 2);
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/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
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Either A or B (but not both) can be rank 1:
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o One-dimensional argument A is implicitly treated as a row matrix
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dimensioned [1,count], so xcount=1.
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o One-dimensional argument B is implicitly treated as a column matrix
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dimensioned [count, 1], so ycount=1.
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*/
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if (retarray->data == NULL)
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{
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if (GFC_DESCRIPTOR_RANK (a) == 1)
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{
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retarray->dim[0].lbound = 0;
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retarray->dim[0].ubound = b->dim[1].ubound - b->dim[1].lbound;
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retarray->dim[0].stride = 1;
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}
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else if (GFC_DESCRIPTOR_RANK (b) == 1)
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{
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retarray->dim[0].lbound = 0;
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retarray->dim[0].ubound = a->dim[0].ubound - a->dim[0].lbound;
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retarray->dim[0].stride = 1;
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}
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else
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{
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retarray->dim[0].lbound = 0;
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retarray->dim[0].ubound = a->dim[0].ubound - a->dim[0].lbound;
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retarray->dim[0].stride = 1;
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retarray->dim[1].lbound = 0;
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retarray->dim[1].ubound = b->dim[1].ubound - b->dim[1].lbound;
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retarray->dim[1].stride = retarray->dim[0].ubound+1;
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}
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retarray->data
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= internal_malloc_size (sizeof (GFC_REAL_10) * size0 ((array_t *) retarray));
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retarray->offset = 0;
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}
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else if (unlikely (compile_options.bounds_check))
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{
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index_type ret_extent, arg_extent;
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if (GFC_DESCRIPTOR_RANK (a) == 1)
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{
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arg_extent = b->dim[1].ubound + 1 - b->dim[1].lbound;
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ret_extent = retarray->dim[0].ubound + 1 - retarray->dim[0].lbound;
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if (arg_extent != ret_extent)
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runtime_error ("Incorrect extent in return array in"
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" MATMUL intrinsic: is %ld, should be %ld",
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(long int) ret_extent, (long int) arg_extent);
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}
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else if (GFC_DESCRIPTOR_RANK (b) == 1)
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{
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arg_extent = a->dim[0].ubound + 1 - a->dim[0].lbound;
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ret_extent = retarray->dim[0].ubound + 1 - retarray->dim[0].lbound;
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if (arg_extent != ret_extent)
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runtime_error ("Incorrect extent in return array in"
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" MATMUL intrinsic: is %ld, should be %ld",
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(long int) ret_extent, (long int) arg_extent);
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}
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else
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{
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arg_extent = a->dim[0].ubound + 1 - a->dim[0].lbound;
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ret_extent = retarray->dim[0].ubound + 1 - retarray->dim[0].lbound;
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if (arg_extent != ret_extent)
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runtime_error ("Incorrect extent in return array in"
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" MATMUL intrinsic for dimension 1:"
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" is %ld, should be %ld",
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(long int) ret_extent, (long int) arg_extent);
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arg_extent = b->dim[1].ubound + 1 - b->dim[1].lbound;
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ret_extent = retarray->dim[1].ubound + 1 - retarray->dim[1].lbound;
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if (arg_extent != ret_extent)
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runtime_error ("Incorrect extent in return array in"
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" MATMUL intrinsic for dimension 2:"
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" is %ld, should be %ld",
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(long int) ret_extent, (long int) arg_extent);
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}
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}
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if (GFC_DESCRIPTOR_RANK (retarray) == 1)
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{
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/* One-dimensional result may be addressed in the code below
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either as a row or a column matrix. We want both cases to
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work. */
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rxstride = rystride = retarray->dim[0].stride;
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}
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else
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{
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rxstride = retarray->dim[0].stride;
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rystride = retarray->dim[1].stride;
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}
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if (GFC_DESCRIPTOR_RANK (a) == 1)
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{
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/* Treat it as a a row matrix A[1,count]. */
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axstride = a->dim[0].stride;
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aystride = 1;
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xcount = 1;
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count = a->dim[0].ubound + 1 - a->dim[0].lbound;
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}
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else
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{
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axstride = a->dim[0].stride;
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aystride = a->dim[1].stride;
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count = a->dim[1].ubound + 1 - a->dim[1].lbound;
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xcount = a->dim[0].ubound + 1 - a->dim[0].lbound;
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}
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if (count != b->dim[0].ubound + 1 - b->dim[0].lbound)
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{
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if (count > 0 || b->dim[0].ubound + 1 - b->dim[0].lbound > 0)
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runtime_error ("dimension of array B incorrect in MATMUL intrinsic");
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}
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if (GFC_DESCRIPTOR_RANK (b) == 1)
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{
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/* Treat it as a column matrix B[count,1] */
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bxstride = b->dim[0].stride;
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/* bystride should never be used for 1-dimensional b.
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in case it is we want it to cause a segfault, rather than
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an incorrect result. */
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bystride = 0xDEADBEEF;
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ycount = 1;
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}
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else
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{
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bxstride = b->dim[0].stride;
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bystride = b->dim[1].stride;
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ycount = b->dim[1].ubound + 1 - b->dim[1].lbound;
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}
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abase = a->data;
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bbase = b->data;
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dest = retarray->data;
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/* Now that everything is set up, we're performing the multiplication
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itself. */
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#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
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if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
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&& (bxstride == 1 || bystride == 1)
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&& (((float) xcount) * ((float) ycount) * ((float) count)
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> POW3(blas_limit)))
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{
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const int m = xcount, n = ycount, k = count, ldc = rystride;
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const GFC_REAL_10 one = 1, zero = 0;
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const int lda = (axstride == 1) ? aystride : axstride,
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ldb = (bxstride == 1) ? bystride : bxstride;
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if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
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{
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assert (gemm != NULL);
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gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m, &n, &k,
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&one, abase, &lda, bbase, &ldb, &zero, dest, &ldc, 1, 1);
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return;
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}
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}
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if (rxstride == 1 && axstride == 1 && bxstride == 1)
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{
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const GFC_REAL_10 * restrict bbase_y;
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GFC_REAL_10 * restrict dest_y;
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const GFC_REAL_10 * restrict abase_n;
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GFC_REAL_10 bbase_yn;
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if (rystride == xcount)
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memset (dest, 0, (sizeof (GFC_REAL_10) * xcount * ycount));
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else
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{
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for (y = 0; y < ycount; y++)
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for (x = 0; x < xcount; x++)
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dest[x + y*rystride] = (GFC_REAL_10)0;
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}
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for (y = 0; y < ycount; y++)
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{
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bbase_y = bbase + y*bystride;
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dest_y = dest + y*rystride;
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for (n = 0; n < count; n++)
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{
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abase_n = abase + n*aystride;
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bbase_yn = bbase_y[n];
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for (x = 0; x < xcount; x++)
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{
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dest_y[x] += abase_n[x] * bbase_yn;
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}
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}
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}
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}
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else if (rxstride == 1 && aystride == 1 && bxstride == 1)
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{
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if (GFC_DESCRIPTOR_RANK (a) != 1)
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{
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const GFC_REAL_10 *restrict abase_x;
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const GFC_REAL_10 *restrict bbase_y;
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GFC_REAL_10 *restrict dest_y;
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GFC_REAL_10 s;
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for (y = 0; y < ycount; y++)
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{
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bbase_y = &bbase[y*bystride];
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dest_y = &dest[y*rystride];
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for (x = 0; x < xcount; x++)
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{
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abase_x = &abase[x*axstride];
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s = (GFC_REAL_10) 0;
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for (n = 0; n < count; n++)
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s += abase_x[n] * bbase_y[n];
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dest_y[x] = s;
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}
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}
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}
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else
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{
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const GFC_REAL_10 *restrict bbase_y;
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GFC_REAL_10 s;
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for (y = 0; y < ycount; y++)
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{
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bbase_y = &bbase[y*bystride];
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s = (GFC_REAL_10) 0;
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for (n = 0; n < count; n++)
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s += abase[n*axstride] * bbase_y[n];
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dest[y*rystride] = s;
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}
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}
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}
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else if (axstride < aystride)
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{
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for (y = 0; y < ycount; y++)
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for (x = 0; x < xcount; x++)
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dest[x*rxstride + y*rystride] = (GFC_REAL_10)0;
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for (y = 0; y < ycount; y++)
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for (n = 0; n < count; n++)
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for (x = 0; x < xcount; x++)
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/* dest[x,y] += a[x,n] * b[n,y] */
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dest[x*rxstride + y*rystride] += abase[x*axstride + n*aystride] * bbase[n*bxstride + y*bystride];
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}
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else if (GFC_DESCRIPTOR_RANK (a) == 1)
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{
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const GFC_REAL_10 *restrict bbase_y;
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GFC_REAL_10 s;
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for (y = 0; y < ycount; y++)
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{
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bbase_y = &bbase[y*bystride];
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s = (GFC_REAL_10) 0;
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for (n = 0; n < count; n++)
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s += abase[n*axstride] * bbase_y[n*bxstride];
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dest[y*rxstride] = s;
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}
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}
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else
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{
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const GFC_REAL_10 *restrict abase_x;
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const GFC_REAL_10 *restrict bbase_y;
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GFC_REAL_10 *restrict dest_y;
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GFC_REAL_10 s;
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for (y = 0; y < ycount; y++)
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{
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bbase_y = &bbase[y*bystride];
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dest_y = &dest[y*rystride];
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for (x = 0; x < xcount; x++)
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{
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abase_x = &abase[x*axstride];
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s = (GFC_REAL_10) 0;
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for (n = 0; n < count; n++)
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s += abase_x[n*aystride] * bbase_y[n*bxstride];
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dest_y[x*rxstride] = s;
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}
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}
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}
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}
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#endif
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