3010 lines
85 KiB
C
3010 lines
85 KiB
C
/* Implementation of the MATMUL intrinsic
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Copyright (C) 2002-2019 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 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 <string.h>
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#include <assert.h>
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#if defined (HAVE_GFC_REAL_16)
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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 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_16 *, const GFC_REAL_16 *,
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const int *, const GFC_REAL_16 *, const int *,
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const GFC_REAL_16 *, GFC_REAL_16 *, 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_r16 (gfc_array_r16 * const restrict retarray,
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gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
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int blas_limit, blas_call gemm);
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export_proto(matmul_r16);
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/* Put exhaustive list of possible architectures here here, ORed together. */
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#if defined(HAVE_AVX) || defined(HAVE_AVX2) || defined(HAVE_AVX512F)
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#ifdef HAVE_AVX
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static void
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matmul_r16_avx (gfc_array_r16 * const restrict retarray,
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gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
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int blas_limit, blas_call gemm) __attribute__((__target__("avx")));
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static void
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matmul_r16_avx (gfc_array_r16 * const restrict retarray,
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gfc_array_r16 * const restrict a, gfc_array_r16 * 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_16 * restrict abase;
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const GFC_REAL_16 * restrict bbase;
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GFC_REAL_16 * 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->base_addr == NULL)
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{
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if (GFC_DESCRIPTOR_RANK (a) == 1)
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{
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GFC_DIMENSION_SET(retarray->dim[0], 0,
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GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
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}
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else if (GFC_DESCRIPTOR_RANK (b) == 1)
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{
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GFC_DIMENSION_SET(retarray->dim[0], 0,
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GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
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}
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else
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{
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GFC_DIMENSION_SET(retarray->dim[0], 0,
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GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
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GFC_DIMENSION_SET(retarray->dim[1], 0,
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GFC_DESCRIPTOR_EXTENT(b,1) - 1,
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GFC_DESCRIPTOR_EXTENT(retarray,0));
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}
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retarray->base_addr
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= xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_REAL_16));
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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 = GFC_DESCRIPTOR_EXTENT(b,1);
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ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
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if (arg_extent != ret_extent)
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runtime_error ("Array bound mismatch for dimension 1 of "
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"array (%ld/%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 = GFC_DESCRIPTOR_EXTENT(a,0);
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ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
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if (arg_extent != ret_extent)
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runtime_error ("Array bound mismatch for dimension 1 of "
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"array (%ld/%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 = GFC_DESCRIPTOR_EXTENT(a,0);
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ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
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if (arg_extent != ret_extent)
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runtime_error ("Array bound mismatch for dimension 1 of "
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"array (%ld/%ld) ",
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(long int) ret_extent, (long int) arg_extent);
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arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
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ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
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if (arg_extent != ret_extent)
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runtime_error ("Array bound mismatch for dimension 2 of "
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"array (%ld/%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 = GFC_DESCRIPTOR_STRIDE(retarray,0);
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}
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else
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{
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rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
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rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
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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 = GFC_DESCRIPTOR_STRIDE(a,0);
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aystride = 1;
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xcount = 1;
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count = GFC_DESCRIPTOR_EXTENT(a,0);
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}
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else
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{
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axstride = GFC_DESCRIPTOR_STRIDE(a,0);
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aystride = GFC_DESCRIPTOR_STRIDE(a,1);
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count = GFC_DESCRIPTOR_EXTENT(a,1);
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xcount = GFC_DESCRIPTOR_EXTENT(a,0);
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}
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if (count != GFC_DESCRIPTOR_EXTENT(b,0))
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{
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if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
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runtime_error ("Incorrect extent in argument B in MATMUL intrinsic "
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"in dimension 1: is %ld, should be %ld",
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(long int) GFC_DESCRIPTOR_EXTENT(b,0), (long int) count);
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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 = GFC_DESCRIPTOR_STRIDE(b,0);
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/* bystride should never be used for 1-dimensional b.
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The value is only used for calculation of the
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memory by the buffer. */
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bystride = 256;
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ycount = 1;
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}
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else
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{
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bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
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bystride = GFC_DESCRIPTOR_STRIDE(b,1);
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ycount = GFC_DESCRIPTOR_EXTENT(b,1);
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}
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abase = a->base_addr;
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bbase = b->base_addr;
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dest = retarray->base_addr;
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/* Now that everything is set up, we perform the multiplication
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itself. */
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#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
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#define min(a,b) ((a) <= (b) ? (a) : (b))
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#define max(a,b) ((a) >= (b) ? (a) : (b))
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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_16 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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const char *transa, *transb;
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if (try_blas & 2)
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transa = "C";
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else
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transa = axstride == 1 ? "N" : "T";
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if (try_blas & 4)
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transb = "C";
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else
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transb = bxstride == 1 ? "N" : "T";
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gemm (transa, transb , &m,
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&n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
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&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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/* This block of code implements a tuned matmul, derived from
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Superscalar GEMM-based level 3 BLAS, Beta version 0.1
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Bo Kagstrom and Per Ling
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Department of Computing Science
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Umea University
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S-901 87 Umea, Sweden
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from netlib.org, translated to C, and modified for matmul.m4. */
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const GFC_REAL_16 *a, *b;
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GFC_REAL_16 *c;
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const index_type m = xcount, n = ycount, k = count;
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/* System generated locals */
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index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
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i1, i2, i3, i4, i5, i6;
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/* Local variables */
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GFC_REAL_16 f11, f12, f21, f22, f31, f32, f41, f42,
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f13, f14, f23, f24, f33, f34, f43, f44;
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index_type i, j, l, ii, jj, ll;
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index_type isec, jsec, lsec, uisec, ujsec, ulsec;
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GFC_REAL_16 *t1;
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a = abase;
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b = bbase;
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c = retarray->base_addr;
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/* Parameter adjustments */
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c_dim1 = rystride;
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c_offset = 1 + c_dim1;
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c -= c_offset;
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a_dim1 = aystride;
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a_offset = 1 + a_dim1;
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a -= a_offset;
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b_dim1 = bystride;
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b_offset = 1 + b_dim1;
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b -= b_offset;
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/* Empty c first. */
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for (j=1; j<=n; j++)
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for (i=1; i<=m; i++)
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c[i + j * c_dim1] = (GFC_REAL_16)0;
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/* Early exit if possible */
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if (m == 0 || n == 0 || k == 0)
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return;
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/* Adjust size of t1 to what is needed. */
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index_type t1_dim, a_sz;
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if (aystride == 1)
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a_sz = rystride;
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else
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a_sz = a_dim1;
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t1_dim = a_sz * 256 + b_dim1;
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if (t1_dim > 65536)
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t1_dim = 65536;
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t1 = malloc (t1_dim * sizeof(GFC_REAL_16));
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/* Start turning the crank. */
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i1 = n;
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for (jj = 1; jj <= i1; jj += 512)
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{
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/* Computing MIN */
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i2 = 512;
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i3 = n - jj + 1;
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jsec = min(i2,i3);
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ujsec = jsec - jsec % 4;
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i2 = k;
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for (ll = 1; ll <= i2; ll += 256)
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{
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/* Computing MIN */
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i3 = 256;
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i4 = k - ll + 1;
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lsec = min(i3,i4);
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ulsec = lsec - lsec % 2;
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i3 = m;
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for (ii = 1; ii <= i3; ii += 256)
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{
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/* Computing MIN */
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i4 = 256;
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i5 = m - ii + 1;
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isec = min(i4,i5);
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uisec = isec - isec % 2;
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i4 = ll + ulsec - 1;
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for (l = ll; l <= i4; l += 2)
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{
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i5 = ii + uisec - 1;
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for (i = ii; i <= i5; i += 2)
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{
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t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
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a[i + l * a_dim1];
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t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
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a[i + (l + 1) * a_dim1];
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t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
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a[i + 1 + l * a_dim1];
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t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
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a[i + 1 + (l + 1) * a_dim1];
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}
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if (uisec < isec)
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{
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t1[l - ll + 1 + (isec << 8) - 257] =
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a[ii + isec - 1 + l * a_dim1];
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t1[l - ll + 2 + (isec << 8) - 257] =
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a[ii + isec - 1 + (l + 1) * a_dim1];
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}
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}
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if (ulsec < lsec)
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{
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i4 = ii + isec - 1;
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for (i = ii; i<= i4; ++i)
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{
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t1[lsec + ((i - ii + 1) << 8) - 257] =
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a[i + (ll + lsec - 1) * a_dim1];
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}
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}
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uisec = isec - isec % 4;
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i4 = jj + ujsec - 1;
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for (j = jj; j <= i4; j += 4)
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{
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i5 = ii + uisec - 1;
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for (i = ii; i <= i5; i += 4)
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{
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f11 = c[i + j * c_dim1];
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f21 = c[i + 1 + j * c_dim1];
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f12 = c[i + (j + 1) * c_dim1];
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f22 = c[i + 1 + (j + 1) * c_dim1];
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f13 = c[i + (j + 2) * c_dim1];
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f23 = c[i + 1 + (j + 2) * c_dim1];
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f14 = c[i + (j + 3) * c_dim1];
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f24 = c[i + 1 + (j + 3) * c_dim1];
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f31 = c[i + 2 + j * c_dim1];
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f41 = c[i + 3 + j * c_dim1];
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f32 = c[i + 2 + (j + 1) * c_dim1];
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f42 = c[i + 3 + (j + 1) * c_dim1];
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f33 = c[i + 2 + (j + 2) * c_dim1];
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f43 = c[i + 3 + (j + 2) * c_dim1];
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f34 = c[i + 2 + (j + 3) * c_dim1];
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f44 = c[i + 3 + (j + 3) * c_dim1];
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i6 = ll + lsec - 1;
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for (l = ll; l <= i6; ++l)
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{
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f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
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* b[l + j * b_dim1];
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f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
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* b[l + j * b_dim1];
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f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
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* b[l + (j + 1) * b_dim1];
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f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
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* b[l + (j + 1) * b_dim1];
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f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
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* b[l + (j + 2) * b_dim1];
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f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
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* b[l + (j + 2) * b_dim1];
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f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
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* b[l + (j + 3) * b_dim1];
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f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
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* b[l + (j + 3) * b_dim1];
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f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
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* b[l + j * b_dim1];
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f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
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* b[l + j * b_dim1];
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f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
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* b[l + (j + 1) * b_dim1];
|
|
f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
c[i + 1 + j * c_dim1] = f21;
|
|
c[i + (j + 1) * c_dim1] = f12;
|
|
c[i + 1 + (j + 1) * c_dim1] = f22;
|
|
c[i + (j + 2) * c_dim1] = f13;
|
|
c[i + 1 + (j + 2) * c_dim1] = f23;
|
|
c[i + (j + 3) * c_dim1] = f14;
|
|
c[i + 1 + (j + 3) * c_dim1] = f24;
|
|
c[i + 2 + j * c_dim1] = f31;
|
|
c[i + 3 + j * c_dim1] = f41;
|
|
c[i + 2 + (j + 1) * c_dim1] = f32;
|
|
c[i + 3 + (j + 1) * c_dim1] = f42;
|
|
c[i + 2 + (j + 2) * c_dim1] = f33;
|
|
c[i + 3 + (j + 2) * c_dim1] = f43;
|
|
c[i + 2 + (j + 3) * c_dim1] = f34;
|
|
c[i + 3 + (j + 3) * c_dim1] = f44;
|
|
}
|
|
if (uisec < isec)
|
|
{
|
|
i5 = ii + isec - 1;
|
|
for (i = ii + uisec; i <= i5; ++i)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
f12 = c[i + (j + 1) * c_dim1];
|
|
f13 = c[i + (j + 2) * c_dim1];
|
|
f14 = c[i + (j + 3) * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + (j + 1) * b_dim1];
|
|
f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + (j + 2) * b_dim1];
|
|
f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + (j + 3) * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
c[i + (j + 1) * c_dim1] = f12;
|
|
c[i + (j + 2) * c_dim1] = f13;
|
|
c[i + (j + 3) * c_dim1] = f14;
|
|
}
|
|
}
|
|
}
|
|
if (ujsec < jsec)
|
|
{
|
|
i4 = jj + jsec - 1;
|
|
for (j = jj + ujsec; j <= i4; ++j)
|
|
{
|
|
i5 = ii + uisec - 1;
|
|
for (i = ii; i <= i5; i += 4)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
f21 = c[i + 1 + j * c_dim1];
|
|
f31 = c[i + 2 + j * c_dim1];
|
|
f41 = c[i + 3 + j * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
c[i + 1 + j * c_dim1] = f21;
|
|
c[i + 2 + j * c_dim1] = f31;
|
|
c[i + 3 + j * c_dim1] = f41;
|
|
}
|
|
i5 = ii + isec - 1;
|
|
for (i = ii + uisec; i <= i5; ++i)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
free(t1);
|
|
return;
|
|
}
|
|
else if (rxstride == 1 && aystride == 1 && bxstride == 1)
|
|
{
|
|
if (GFC_DESCRIPTOR_RANK (a) != 1)
|
|
{
|
|
const GFC_REAL_16 *restrict abase_x;
|
|
const GFC_REAL_16 *restrict bbase_y;
|
|
GFC_REAL_16 *restrict dest_y;
|
|
GFC_REAL_16 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_16) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase_x[n] * bbase_y[n];
|
|
dest_y[x] = s;
|
|
}
|
|
}
|
|
}
|
|
else
|
|
{
|
|
const GFC_REAL_16 *restrict bbase_y;
|
|
GFC_REAL_16 s;
|
|
|
|
for (y = 0; y < ycount; y++)
|
|
{
|
|
bbase_y = &bbase[y*bystride];
|
|
s = (GFC_REAL_16) 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_16)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_16 *restrict bbase_y;
|
|
GFC_REAL_16 s;
|
|
|
|
for (y = 0; y < ycount; y++)
|
|
{
|
|
bbase_y = &bbase[y*bystride];
|
|
s = (GFC_REAL_16) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase[n*axstride] * bbase_y[n*bxstride];
|
|
dest[y*rxstride] = s;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
const GFC_REAL_16 *restrict abase_x;
|
|
const GFC_REAL_16 *restrict bbase_y;
|
|
GFC_REAL_16 *restrict dest_y;
|
|
GFC_REAL_16 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_16) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase_x[n*aystride] * bbase_y[n*bxstride];
|
|
dest_y[x*rxstride] = s;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
#undef POW3
|
|
#undef min
|
|
#undef max
|
|
|
|
#endif /* HAVE_AVX */
|
|
|
|
#ifdef HAVE_AVX2
|
|
static void
|
|
matmul_r16_avx2 (gfc_array_r16 * const restrict retarray,
|
|
gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
|
|
int blas_limit, blas_call gemm) __attribute__((__target__("avx2,fma")));
|
|
static void
|
|
matmul_r16_avx2 (gfc_array_r16 * const restrict retarray,
|
|
gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
|
|
int blas_limit, blas_call gemm)
|
|
{
|
|
const GFC_REAL_16 * restrict abase;
|
|
const GFC_REAL_16 * restrict bbase;
|
|
GFC_REAL_16 * 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_REAL_16));
|
|
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 ("Array bound mismatch for dimension 1 of "
|
|
"array (%ld/%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 ("Array bound mismatch for dimension 1 of "
|
|
"array (%ld/%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 ("Array bound mismatch for dimension 1 of "
|
|
"array (%ld/%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 ("Array bound mismatch for dimension 2 of "
|
|
"array (%ld/%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 ("Incorrect extent in argument B in MATMUL intrinsic "
|
|
"in dimension 1: is %ld, should be %ld",
|
|
(long int) GFC_DESCRIPTOR_EXTENT(b,0), (long int) count);
|
|
}
|
|
|
|
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.
|
|
The value is only used for calculation of the
|
|
memory by the buffer. */
|
|
bystride = 256;
|
|
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 perform the multiplication
|
|
itself. */
|
|
|
|
#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
|
|
#define min(a,b) ((a) <= (b) ? (a) : (b))
|
|
#define max(a,b) ((a) >= (b) ? (a) : (b))
|
|
|
|
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_16 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);
|
|
const char *transa, *transb;
|
|
if (try_blas & 2)
|
|
transa = "C";
|
|
else
|
|
transa = axstride == 1 ? "N" : "T";
|
|
|
|
if (try_blas & 4)
|
|
transb = "C";
|
|
else
|
|
transb = bxstride == 1 ? "N" : "T";
|
|
|
|
gemm (transa, transb , &m,
|
|
&n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
|
|
&ldc, 1, 1);
|
|
return;
|
|
}
|
|
}
|
|
|
|
if (rxstride == 1 && axstride == 1 && bxstride == 1)
|
|
{
|
|
/* This block of code implements a tuned matmul, derived from
|
|
Superscalar GEMM-based level 3 BLAS, Beta version 0.1
|
|
|
|
Bo Kagstrom and Per Ling
|
|
Department of Computing Science
|
|
Umea University
|
|
S-901 87 Umea, Sweden
|
|
|
|
from netlib.org, translated to C, and modified for matmul.m4. */
|
|
|
|
const GFC_REAL_16 *a, *b;
|
|
GFC_REAL_16 *c;
|
|
const index_type m = xcount, n = ycount, k = count;
|
|
|
|
/* System generated locals */
|
|
index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
|
|
i1, i2, i3, i4, i5, i6;
|
|
|
|
/* Local variables */
|
|
GFC_REAL_16 f11, f12, f21, f22, f31, f32, f41, f42,
|
|
f13, f14, f23, f24, f33, f34, f43, f44;
|
|
index_type i, j, l, ii, jj, ll;
|
|
index_type isec, jsec, lsec, uisec, ujsec, ulsec;
|
|
GFC_REAL_16 *t1;
|
|
|
|
a = abase;
|
|
b = bbase;
|
|
c = retarray->base_addr;
|
|
|
|
/* Parameter adjustments */
|
|
c_dim1 = rystride;
|
|
c_offset = 1 + c_dim1;
|
|
c -= c_offset;
|
|
a_dim1 = aystride;
|
|
a_offset = 1 + a_dim1;
|
|
a -= a_offset;
|
|
b_dim1 = bystride;
|
|
b_offset = 1 + b_dim1;
|
|
b -= b_offset;
|
|
|
|
/* Empty c first. */
|
|
for (j=1; j<=n; j++)
|
|
for (i=1; i<=m; i++)
|
|
c[i + j * c_dim1] = (GFC_REAL_16)0;
|
|
|
|
/* Early exit if possible */
|
|
if (m == 0 || n == 0 || k == 0)
|
|
return;
|
|
|
|
/* Adjust size of t1 to what is needed. */
|
|
index_type t1_dim, a_sz;
|
|
if (aystride == 1)
|
|
a_sz = rystride;
|
|
else
|
|
a_sz = a_dim1;
|
|
|
|
t1_dim = a_sz * 256 + b_dim1;
|
|
if (t1_dim > 65536)
|
|
t1_dim = 65536;
|
|
|
|
t1 = malloc (t1_dim * sizeof(GFC_REAL_16));
|
|
|
|
/* Start turning the crank. */
|
|
i1 = n;
|
|
for (jj = 1; jj <= i1; jj += 512)
|
|
{
|
|
/* Computing MIN */
|
|
i2 = 512;
|
|
i3 = n - jj + 1;
|
|
jsec = min(i2,i3);
|
|
ujsec = jsec - jsec % 4;
|
|
i2 = k;
|
|
for (ll = 1; ll <= i2; ll += 256)
|
|
{
|
|
/* Computing MIN */
|
|
i3 = 256;
|
|
i4 = k - ll + 1;
|
|
lsec = min(i3,i4);
|
|
ulsec = lsec - lsec % 2;
|
|
|
|
i3 = m;
|
|
for (ii = 1; ii <= i3; ii += 256)
|
|
{
|
|
/* Computing MIN */
|
|
i4 = 256;
|
|
i5 = m - ii + 1;
|
|
isec = min(i4,i5);
|
|
uisec = isec - isec % 2;
|
|
i4 = ll + ulsec - 1;
|
|
for (l = ll; l <= i4; l += 2)
|
|
{
|
|
i5 = ii + uisec - 1;
|
|
for (i = ii; i <= i5; i += 2)
|
|
{
|
|
t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
|
|
a[i + l * a_dim1];
|
|
t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
|
|
a[i + (l + 1) * a_dim1];
|
|
t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
|
|
a[i + 1 + l * a_dim1];
|
|
t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
|
|
a[i + 1 + (l + 1) * a_dim1];
|
|
}
|
|
if (uisec < isec)
|
|
{
|
|
t1[l - ll + 1 + (isec << 8) - 257] =
|
|
a[ii + isec - 1 + l * a_dim1];
|
|
t1[l - ll + 2 + (isec << 8) - 257] =
|
|
a[ii + isec - 1 + (l + 1) * a_dim1];
|
|
}
|
|
}
|
|
if (ulsec < lsec)
|
|
{
|
|
i4 = ii + isec - 1;
|
|
for (i = ii; i<= i4; ++i)
|
|
{
|
|
t1[lsec + ((i - ii + 1) << 8) - 257] =
|
|
a[i + (ll + lsec - 1) * a_dim1];
|
|
}
|
|
}
|
|
|
|
uisec = isec - isec % 4;
|
|
i4 = jj + ujsec - 1;
|
|
for (j = jj; j <= i4; j += 4)
|
|
{
|
|
i5 = ii + uisec - 1;
|
|
for (i = ii; i <= i5; i += 4)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
f21 = c[i + 1 + j * c_dim1];
|
|
f12 = c[i + (j + 1) * c_dim1];
|
|
f22 = c[i + 1 + (j + 1) * c_dim1];
|
|
f13 = c[i + (j + 2) * c_dim1];
|
|
f23 = c[i + 1 + (j + 2) * c_dim1];
|
|
f14 = c[i + (j + 3) * c_dim1];
|
|
f24 = c[i + 1 + (j + 3) * c_dim1];
|
|
f31 = c[i + 2 + j * c_dim1];
|
|
f41 = c[i + 3 + j * c_dim1];
|
|
f32 = c[i + 2 + (j + 1) * c_dim1];
|
|
f42 = c[i + 3 + (j + 1) * c_dim1];
|
|
f33 = c[i + 2 + (j + 2) * c_dim1];
|
|
f43 = c[i + 3 + (j + 2) * c_dim1];
|
|
f34 = c[i + 2 + (j + 3) * c_dim1];
|
|
f44 = c[i + 3 + (j + 3) * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
|
|
* b[l + j * b_dim1];
|
|
f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
|
|
* b[l + j * b_dim1];
|
|
f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + j * b_dim1];
|
|
f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + j * b_dim1];
|
|
f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
c[i + 1 + j * c_dim1] = f21;
|
|
c[i + (j + 1) * c_dim1] = f12;
|
|
c[i + 1 + (j + 1) * c_dim1] = f22;
|
|
c[i + (j + 2) * c_dim1] = f13;
|
|
c[i + 1 + (j + 2) * c_dim1] = f23;
|
|
c[i + (j + 3) * c_dim1] = f14;
|
|
c[i + 1 + (j + 3) * c_dim1] = f24;
|
|
c[i + 2 + j * c_dim1] = f31;
|
|
c[i + 3 + j * c_dim1] = f41;
|
|
c[i + 2 + (j + 1) * c_dim1] = f32;
|
|
c[i + 3 + (j + 1) * c_dim1] = f42;
|
|
c[i + 2 + (j + 2) * c_dim1] = f33;
|
|
c[i + 3 + (j + 2) * c_dim1] = f43;
|
|
c[i + 2 + (j + 3) * c_dim1] = f34;
|
|
c[i + 3 + (j + 3) * c_dim1] = f44;
|
|
}
|
|
if (uisec < isec)
|
|
{
|
|
i5 = ii + isec - 1;
|
|
for (i = ii + uisec; i <= i5; ++i)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
f12 = c[i + (j + 1) * c_dim1];
|
|
f13 = c[i + (j + 2) * c_dim1];
|
|
f14 = c[i + (j + 3) * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + (j + 1) * b_dim1];
|
|
f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + (j + 2) * b_dim1];
|
|
f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + (j + 3) * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
c[i + (j + 1) * c_dim1] = f12;
|
|
c[i + (j + 2) * c_dim1] = f13;
|
|
c[i + (j + 3) * c_dim1] = f14;
|
|
}
|
|
}
|
|
}
|
|
if (ujsec < jsec)
|
|
{
|
|
i4 = jj + jsec - 1;
|
|
for (j = jj + ujsec; j <= i4; ++j)
|
|
{
|
|
i5 = ii + uisec - 1;
|
|
for (i = ii; i <= i5; i += 4)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
f21 = c[i + 1 + j * c_dim1];
|
|
f31 = c[i + 2 + j * c_dim1];
|
|
f41 = c[i + 3 + j * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
c[i + 1 + j * c_dim1] = f21;
|
|
c[i + 2 + j * c_dim1] = f31;
|
|
c[i + 3 + j * c_dim1] = f41;
|
|
}
|
|
i5 = ii + isec - 1;
|
|
for (i = ii + uisec; i <= i5; ++i)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
free(t1);
|
|
return;
|
|
}
|
|
else if (rxstride == 1 && aystride == 1 && bxstride == 1)
|
|
{
|
|
if (GFC_DESCRIPTOR_RANK (a) != 1)
|
|
{
|
|
const GFC_REAL_16 *restrict abase_x;
|
|
const GFC_REAL_16 *restrict bbase_y;
|
|
GFC_REAL_16 *restrict dest_y;
|
|
GFC_REAL_16 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_16) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase_x[n] * bbase_y[n];
|
|
dest_y[x] = s;
|
|
}
|
|
}
|
|
}
|
|
else
|
|
{
|
|
const GFC_REAL_16 *restrict bbase_y;
|
|
GFC_REAL_16 s;
|
|
|
|
for (y = 0; y < ycount; y++)
|
|
{
|
|
bbase_y = &bbase[y*bystride];
|
|
s = (GFC_REAL_16) 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_16)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_16 *restrict bbase_y;
|
|
GFC_REAL_16 s;
|
|
|
|
for (y = 0; y < ycount; y++)
|
|
{
|
|
bbase_y = &bbase[y*bystride];
|
|
s = (GFC_REAL_16) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase[n*axstride] * bbase_y[n*bxstride];
|
|
dest[y*rxstride] = s;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
const GFC_REAL_16 *restrict abase_x;
|
|
const GFC_REAL_16 *restrict bbase_y;
|
|
GFC_REAL_16 *restrict dest_y;
|
|
GFC_REAL_16 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_16) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase_x[n*aystride] * bbase_y[n*bxstride];
|
|
dest_y[x*rxstride] = s;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
#undef POW3
|
|
#undef min
|
|
#undef max
|
|
|
|
#endif /* HAVE_AVX2 */
|
|
|
|
#ifdef HAVE_AVX512F
|
|
static void
|
|
matmul_r16_avx512f (gfc_array_r16 * const restrict retarray,
|
|
gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
|
|
int blas_limit, blas_call gemm) __attribute__((__target__("avx512f")));
|
|
static void
|
|
matmul_r16_avx512f (gfc_array_r16 * const restrict retarray,
|
|
gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
|
|
int blas_limit, blas_call gemm)
|
|
{
|
|
const GFC_REAL_16 * restrict abase;
|
|
const GFC_REAL_16 * restrict bbase;
|
|
GFC_REAL_16 * 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_REAL_16));
|
|
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 ("Array bound mismatch for dimension 1 of "
|
|
"array (%ld/%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 ("Array bound mismatch for dimension 1 of "
|
|
"array (%ld/%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 ("Array bound mismatch for dimension 1 of "
|
|
"array (%ld/%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 ("Array bound mismatch for dimension 2 of "
|
|
"array (%ld/%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 ("Incorrect extent in argument B in MATMUL intrinsic "
|
|
"in dimension 1: is %ld, should be %ld",
|
|
(long int) GFC_DESCRIPTOR_EXTENT(b,0), (long int) count);
|
|
}
|
|
|
|
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.
|
|
The value is only used for calculation of the
|
|
memory by the buffer. */
|
|
bystride = 256;
|
|
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 perform the multiplication
|
|
itself. */
|
|
|
|
#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
|
|
#define min(a,b) ((a) <= (b) ? (a) : (b))
|
|
#define max(a,b) ((a) >= (b) ? (a) : (b))
|
|
|
|
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_16 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);
|
|
const char *transa, *transb;
|
|
if (try_blas & 2)
|
|
transa = "C";
|
|
else
|
|
transa = axstride == 1 ? "N" : "T";
|
|
|
|
if (try_blas & 4)
|
|
transb = "C";
|
|
else
|
|
transb = bxstride == 1 ? "N" : "T";
|
|
|
|
gemm (transa, transb , &m,
|
|
&n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
|
|
&ldc, 1, 1);
|
|
return;
|
|
}
|
|
}
|
|
|
|
if (rxstride == 1 && axstride == 1 && bxstride == 1)
|
|
{
|
|
/* This block of code implements a tuned matmul, derived from
|
|
Superscalar GEMM-based level 3 BLAS, Beta version 0.1
|
|
|
|
Bo Kagstrom and Per Ling
|
|
Department of Computing Science
|
|
Umea University
|
|
S-901 87 Umea, Sweden
|
|
|
|
from netlib.org, translated to C, and modified for matmul.m4. */
|
|
|
|
const GFC_REAL_16 *a, *b;
|
|
GFC_REAL_16 *c;
|
|
const index_type m = xcount, n = ycount, k = count;
|
|
|
|
/* System generated locals */
|
|
index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
|
|
i1, i2, i3, i4, i5, i6;
|
|
|
|
/* Local variables */
|
|
GFC_REAL_16 f11, f12, f21, f22, f31, f32, f41, f42,
|
|
f13, f14, f23, f24, f33, f34, f43, f44;
|
|
index_type i, j, l, ii, jj, ll;
|
|
index_type isec, jsec, lsec, uisec, ujsec, ulsec;
|
|
GFC_REAL_16 *t1;
|
|
|
|
a = abase;
|
|
b = bbase;
|
|
c = retarray->base_addr;
|
|
|
|
/* Parameter adjustments */
|
|
c_dim1 = rystride;
|
|
c_offset = 1 + c_dim1;
|
|
c -= c_offset;
|
|
a_dim1 = aystride;
|
|
a_offset = 1 + a_dim1;
|
|
a -= a_offset;
|
|
b_dim1 = bystride;
|
|
b_offset = 1 + b_dim1;
|
|
b -= b_offset;
|
|
|
|
/* Empty c first. */
|
|
for (j=1; j<=n; j++)
|
|
for (i=1; i<=m; i++)
|
|
c[i + j * c_dim1] = (GFC_REAL_16)0;
|
|
|
|
/* Early exit if possible */
|
|
if (m == 0 || n == 0 || k == 0)
|
|
return;
|
|
|
|
/* Adjust size of t1 to what is needed. */
|
|
index_type t1_dim, a_sz;
|
|
if (aystride == 1)
|
|
a_sz = rystride;
|
|
else
|
|
a_sz = a_dim1;
|
|
|
|
t1_dim = a_sz * 256 + b_dim1;
|
|
if (t1_dim > 65536)
|
|
t1_dim = 65536;
|
|
|
|
t1 = malloc (t1_dim * sizeof(GFC_REAL_16));
|
|
|
|
/* Start turning the crank. */
|
|
i1 = n;
|
|
for (jj = 1; jj <= i1; jj += 512)
|
|
{
|
|
/* Computing MIN */
|
|
i2 = 512;
|
|
i3 = n - jj + 1;
|
|
jsec = min(i2,i3);
|
|
ujsec = jsec - jsec % 4;
|
|
i2 = k;
|
|
for (ll = 1; ll <= i2; ll += 256)
|
|
{
|
|
/* Computing MIN */
|
|
i3 = 256;
|
|
i4 = k - ll + 1;
|
|
lsec = min(i3,i4);
|
|
ulsec = lsec - lsec % 2;
|
|
|
|
i3 = m;
|
|
for (ii = 1; ii <= i3; ii += 256)
|
|
{
|
|
/* Computing MIN */
|
|
i4 = 256;
|
|
i5 = m - ii + 1;
|
|
isec = min(i4,i5);
|
|
uisec = isec - isec % 2;
|
|
i4 = ll + ulsec - 1;
|
|
for (l = ll; l <= i4; l += 2)
|
|
{
|
|
i5 = ii + uisec - 1;
|
|
for (i = ii; i <= i5; i += 2)
|
|
{
|
|
t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
|
|
a[i + l * a_dim1];
|
|
t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
|
|
a[i + (l + 1) * a_dim1];
|
|
t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
|
|
a[i + 1 + l * a_dim1];
|
|
t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
|
|
a[i + 1 + (l + 1) * a_dim1];
|
|
}
|
|
if (uisec < isec)
|
|
{
|
|
t1[l - ll + 1 + (isec << 8) - 257] =
|
|
a[ii + isec - 1 + l * a_dim1];
|
|
t1[l - ll + 2 + (isec << 8) - 257] =
|
|
a[ii + isec - 1 + (l + 1) * a_dim1];
|
|
}
|
|
}
|
|
if (ulsec < lsec)
|
|
{
|
|
i4 = ii + isec - 1;
|
|
for (i = ii; i<= i4; ++i)
|
|
{
|
|
t1[lsec + ((i - ii + 1) << 8) - 257] =
|
|
a[i + (ll + lsec - 1) * a_dim1];
|
|
}
|
|
}
|
|
|
|
uisec = isec - isec % 4;
|
|
i4 = jj + ujsec - 1;
|
|
for (j = jj; j <= i4; j += 4)
|
|
{
|
|
i5 = ii + uisec - 1;
|
|
for (i = ii; i <= i5; i += 4)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
f21 = c[i + 1 + j * c_dim1];
|
|
f12 = c[i + (j + 1) * c_dim1];
|
|
f22 = c[i + 1 + (j + 1) * c_dim1];
|
|
f13 = c[i + (j + 2) * c_dim1];
|
|
f23 = c[i + 1 + (j + 2) * c_dim1];
|
|
f14 = c[i + (j + 3) * c_dim1];
|
|
f24 = c[i + 1 + (j + 3) * c_dim1];
|
|
f31 = c[i + 2 + j * c_dim1];
|
|
f41 = c[i + 3 + j * c_dim1];
|
|
f32 = c[i + 2 + (j + 1) * c_dim1];
|
|
f42 = c[i + 3 + (j + 1) * c_dim1];
|
|
f33 = c[i + 2 + (j + 2) * c_dim1];
|
|
f43 = c[i + 3 + (j + 2) * c_dim1];
|
|
f34 = c[i + 2 + (j + 3) * c_dim1];
|
|
f44 = c[i + 3 + (j + 3) * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
|
|
* b[l + j * b_dim1];
|
|
f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
|
|
* b[l + j * b_dim1];
|
|
f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + j * b_dim1];
|
|
f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + j * b_dim1];
|
|
f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
c[i + 1 + j * c_dim1] = f21;
|
|
c[i + (j + 1) * c_dim1] = f12;
|
|
c[i + 1 + (j + 1) * c_dim1] = f22;
|
|
c[i + (j + 2) * c_dim1] = f13;
|
|
c[i + 1 + (j + 2) * c_dim1] = f23;
|
|
c[i + (j + 3) * c_dim1] = f14;
|
|
c[i + 1 + (j + 3) * c_dim1] = f24;
|
|
c[i + 2 + j * c_dim1] = f31;
|
|
c[i + 3 + j * c_dim1] = f41;
|
|
c[i + 2 + (j + 1) * c_dim1] = f32;
|
|
c[i + 3 + (j + 1) * c_dim1] = f42;
|
|
c[i + 2 + (j + 2) * c_dim1] = f33;
|
|
c[i + 3 + (j + 2) * c_dim1] = f43;
|
|
c[i + 2 + (j + 3) * c_dim1] = f34;
|
|
c[i + 3 + (j + 3) * c_dim1] = f44;
|
|
}
|
|
if (uisec < isec)
|
|
{
|
|
i5 = ii + isec - 1;
|
|
for (i = ii + uisec; i <= i5; ++i)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
f12 = c[i + (j + 1) * c_dim1];
|
|
f13 = c[i + (j + 2) * c_dim1];
|
|
f14 = c[i + (j + 3) * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + (j + 1) * b_dim1];
|
|
f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + (j + 2) * b_dim1];
|
|
f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + (j + 3) * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
c[i + (j + 1) * c_dim1] = f12;
|
|
c[i + (j + 2) * c_dim1] = f13;
|
|
c[i + (j + 3) * c_dim1] = f14;
|
|
}
|
|
}
|
|
}
|
|
if (ujsec < jsec)
|
|
{
|
|
i4 = jj + jsec - 1;
|
|
for (j = jj + ujsec; j <= i4; ++j)
|
|
{
|
|
i5 = ii + uisec - 1;
|
|
for (i = ii; i <= i5; i += 4)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
f21 = c[i + 1 + j * c_dim1];
|
|
f31 = c[i + 2 + j * c_dim1];
|
|
f41 = c[i + 3 + j * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
c[i + 1 + j * c_dim1] = f21;
|
|
c[i + 2 + j * c_dim1] = f31;
|
|
c[i + 3 + j * c_dim1] = f41;
|
|
}
|
|
i5 = ii + isec - 1;
|
|
for (i = ii + uisec; i <= i5; ++i)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
free(t1);
|
|
return;
|
|
}
|
|
else if (rxstride == 1 && aystride == 1 && bxstride == 1)
|
|
{
|
|
if (GFC_DESCRIPTOR_RANK (a) != 1)
|
|
{
|
|
const GFC_REAL_16 *restrict abase_x;
|
|
const GFC_REAL_16 *restrict bbase_y;
|
|
GFC_REAL_16 *restrict dest_y;
|
|
GFC_REAL_16 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_16) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase_x[n] * bbase_y[n];
|
|
dest_y[x] = s;
|
|
}
|
|
}
|
|
}
|
|
else
|
|
{
|
|
const GFC_REAL_16 *restrict bbase_y;
|
|
GFC_REAL_16 s;
|
|
|
|
for (y = 0; y < ycount; y++)
|
|
{
|
|
bbase_y = &bbase[y*bystride];
|
|
s = (GFC_REAL_16) 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_16)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_16 *restrict bbase_y;
|
|
GFC_REAL_16 s;
|
|
|
|
for (y = 0; y < ycount; y++)
|
|
{
|
|
bbase_y = &bbase[y*bystride];
|
|
s = (GFC_REAL_16) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase[n*axstride] * bbase_y[n*bxstride];
|
|
dest[y*rxstride] = s;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
const GFC_REAL_16 *restrict abase_x;
|
|
const GFC_REAL_16 *restrict bbase_y;
|
|
GFC_REAL_16 *restrict dest_y;
|
|
GFC_REAL_16 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_16) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase_x[n*aystride] * bbase_y[n*bxstride];
|
|
dest_y[x*rxstride] = s;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
#undef POW3
|
|
#undef min
|
|
#undef max
|
|
|
|
#endif /* HAVE_AVX512F */
|
|
|
|
/* AMD-specifix funtions with AVX128 and FMA3/FMA4. */
|
|
|
|
#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
|
|
void
|
|
matmul_r16_avx128_fma3 (gfc_array_r16 * const restrict retarray,
|
|
gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
|
|
int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
|
|
internal_proto(matmul_r16_avx128_fma3);
|
|
#endif
|
|
|
|
#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
|
|
void
|
|
matmul_r16_avx128_fma4 (gfc_array_r16 * const restrict retarray,
|
|
gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
|
|
int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
|
|
internal_proto(matmul_r16_avx128_fma4);
|
|
#endif
|
|
|
|
/* Function to fall back to if there is no special processor-specific version. */
|
|
static void
|
|
matmul_r16_vanilla (gfc_array_r16 * const restrict retarray,
|
|
gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
|
|
int blas_limit, blas_call gemm)
|
|
{
|
|
const GFC_REAL_16 * restrict abase;
|
|
const GFC_REAL_16 * restrict bbase;
|
|
GFC_REAL_16 * 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_REAL_16));
|
|
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 ("Array bound mismatch for dimension 1 of "
|
|
"array (%ld/%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 ("Array bound mismatch for dimension 1 of "
|
|
"array (%ld/%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 ("Array bound mismatch for dimension 1 of "
|
|
"array (%ld/%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 ("Array bound mismatch for dimension 2 of "
|
|
"array (%ld/%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 ("Incorrect extent in argument B in MATMUL intrinsic "
|
|
"in dimension 1: is %ld, should be %ld",
|
|
(long int) GFC_DESCRIPTOR_EXTENT(b,0), (long int) count);
|
|
}
|
|
|
|
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.
|
|
The value is only used for calculation of the
|
|
memory by the buffer. */
|
|
bystride = 256;
|
|
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 perform the multiplication
|
|
itself. */
|
|
|
|
#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
|
|
#define min(a,b) ((a) <= (b) ? (a) : (b))
|
|
#define max(a,b) ((a) >= (b) ? (a) : (b))
|
|
|
|
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_16 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);
|
|
const char *transa, *transb;
|
|
if (try_blas & 2)
|
|
transa = "C";
|
|
else
|
|
transa = axstride == 1 ? "N" : "T";
|
|
|
|
if (try_blas & 4)
|
|
transb = "C";
|
|
else
|
|
transb = bxstride == 1 ? "N" : "T";
|
|
|
|
gemm (transa, transb , &m,
|
|
&n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
|
|
&ldc, 1, 1);
|
|
return;
|
|
}
|
|
}
|
|
|
|
if (rxstride == 1 && axstride == 1 && bxstride == 1)
|
|
{
|
|
/* This block of code implements a tuned matmul, derived from
|
|
Superscalar GEMM-based level 3 BLAS, Beta version 0.1
|
|
|
|
Bo Kagstrom and Per Ling
|
|
Department of Computing Science
|
|
Umea University
|
|
S-901 87 Umea, Sweden
|
|
|
|
from netlib.org, translated to C, and modified for matmul.m4. */
|
|
|
|
const GFC_REAL_16 *a, *b;
|
|
GFC_REAL_16 *c;
|
|
const index_type m = xcount, n = ycount, k = count;
|
|
|
|
/* System generated locals */
|
|
index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
|
|
i1, i2, i3, i4, i5, i6;
|
|
|
|
/* Local variables */
|
|
GFC_REAL_16 f11, f12, f21, f22, f31, f32, f41, f42,
|
|
f13, f14, f23, f24, f33, f34, f43, f44;
|
|
index_type i, j, l, ii, jj, ll;
|
|
index_type isec, jsec, lsec, uisec, ujsec, ulsec;
|
|
GFC_REAL_16 *t1;
|
|
|
|
a = abase;
|
|
b = bbase;
|
|
c = retarray->base_addr;
|
|
|
|
/* Parameter adjustments */
|
|
c_dim1 = rystride;
|
|
c_offset = 1 + c_dim1;
|
|
c -= c_offset;
|
|
a_dim1 = aystride;
|
|
a_offset = 1 + a_dim1;
|
|
a -= a_offset;
|
|
b_dim1 = bystride;
|
|
b_offset = 1 + b_dim1;
|
|
b -= b_offset;
|
|
|
|
/* Empty c first. */
|
|
for (j=1; j<=n; j++)
|
|
for (i=1; i<=m; i++)
|
|
c[i + j * c_dim1] = (GFC_REAL_16)0;
|
|
|
|
/* Early exit if possible */
|
|
if (m == 0 || n == 0 || k == 0)
|
|
return;
|
|
|
|
/* Adjust size of t1 to what is needed. */
|
|
index_type t1_dim, a_sz;
|
|
if (aystride == 1)
|
|
a_sz = rystride;
|
|
else
|
|
a_sz = a_dim1;
|
|
|
|
t1_dim = a_sz * 256 + b_dim1;
|
|
if (t1_dim > 65536)
|
|
t1_dim = 65536;
|
|
|
|
t1 = malloc (t1_dim * sizeof(GFC_REAL_16));
|
|
|
|
/* Start turning the crank. */
|
|
i1 = n;
|
|
for (jj = 1; jj <= i1; jj += 512)
|
|
{
|
|
/* Computing MIN */
|
|
i2 = 512;
|
|
i3 = n - jj + 1;
|
|
jsec = min(i2,i3);
|
|
ujsec = jsec - jsec % 4;
|
|
i2 = k;
|
|
for (ll = 1; ll <= i2; ll += 256)
|
|
{
|
|
/* Computing MIN */
|
|
i3 = 256;
|
|
i4 = k - ll + 1;
|
|
lsec = min(i3,i4);
|
|
ulsec = lsec - lsec % 2;
|
|
|
|
i3 = m;
|
|
for (ii = 1; ii <= i3; ii += 256)
|
|
{
|
|
/* Computing MIN */
|
|
i4 = 256;
|
|
i5 = m - ii + 1;
|
|
isec = min(i4,i5);
|
|
uisec = isec - isec % 2;
|
|
i4 = ll + ulsec - 1;
|
|
for (l = ll; l <= i4; l += 2)
|
|
{
|
|
i5 = ii + uisec - 1;
|
|
for (i = ii; i <= i5; i += 2)
|
|
{
|
|
t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
|
|
a[i + l * a_dim1];
|
|
t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
|
|
a[i + (l + 1) * a_dim1];
|
|
t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
|
|
a[i + 1 + l * a_dim1];
|
|
t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
|
|
a[i + 1 + (l + 1) * a_dim1];
|
|
}
|
|
if (uisec < isec)
|
|
{
|
|
t1[l - ll + 1 + (isec << 8) - 257] =
|
|
a[ii + isec - 1 + l * a_dim1];
|
|
t1[l - ll + 2 + (isec << 8) - 257] =
|
|
a[ii + isec - 1 + (l + 1) * a_dim1];
|
|
}
|
|
}
|
|
if (ulsec < lsec)
|
|
{
|
|
i4 = ii + isec - 1;
|
|
for (i = ii; i<= i4; ++i)
|
|
{
|
|
t1[lsec + ((i - ii + 1) << 8) - 257] =
|
|
a[i + (ll + lsec - 1) * a_dim1];
|
|
}
|
|
}
|
|
|
|
uisec = isec - isec % 4;
|
|
i4 = jj + ujsec - 1;
|
|
for (j = jj; j <= i4; j += 4)
|
|
{
|
|
i5 = ii + uisec - 1;
|
|
for (i = ii; i <= i5; i += 4)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
f21 = c[i + 1 + j * c_dim1];
|
|
f12 = c[i + (j + 1) * c_dim1];
|
|
f22 = c[i + 1 + (j + 1) * c_dim1];
|
|
f13 = c[i + (j + 2) * c_dim1];
|
|
f23 = c[i + 1 + (j + 2) * c_dim1];
|
|
f14 = c[i + (j + 3) * c_dim1];
|
|
f24 = c[i + 1 + (j + 3) * c_dim1];
|
|
f31 = c[i + 2 + j * c_dim1];
|
|
f41 = c[i + 3 + j * c_dim1];
|
|
f32 = c[i + 2 + (j + 1) * c_dim1];
|
|
f42 = c[i + 3 + (j + 1) * c_dim1];
|
|
f33 = c[i + 2 + (j + 2) * c_dim1];
|
|
f43 = c[i + 3 + (j + 2) * c_dim1];
|
|
f34 = c[i + 2 + (j + 3) * c_dim1];
|
|
f44 = c[i + 3 + (j + 3) * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
|
|
* b[l + j * b_dim1];
|
|
f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
|
|
* b[l + j * b_dim1];
|
|
f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + j * b_dim1];
|
|
f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + j * b_dim1];
|
|
f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
c[i + 1 + j * c_dim1] = f21;
|
|
c[i + (j + 1) * c_dim1] = f12;
|
|
c[i + 1 + (j + 1) * c_dim1] = f22;
|
|
c[i + (j + 2) * c_dim1] = f13;
|
|
c[i + 1 + (j + 2) * c_dim1] = f23;
|
|
c[i + (j + 3) * c_dim1] = f14;
|
|
c[i + 1 + (j + 3) * c_dim1] = f24;
|
|
c[i + 2 + j * c_dim1] = f31;
|
|
c[i + 3 + j * c_dim1] = f41;
|
|
c[i + 2 + (j + 1) * c_dim1] = f32;
|
|
c[i + 3 + (j + 1) * c_dim1] = f42;
|
|
c[i + 2 + (j + 2) * c_dim1] = f33;
|
|
c[i + 3 + (j + 2) * c_dim1] = f43;
|
|
c[i + 2 + (j + 3) * c_dim1] = f34;
|
|
c[i + 3 + (j + 3) * c_dim1] = f44;
|
|
}
|
|
if (uisec < isec)
|
|
{
|
|
i5 = ii + isec - 1;
|
|
for (i = ii + uisec; i <= i5; ++i)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
f12 = c[i + (j + 1) * c_dim1];
|
|
f13 = c[i + (j + 2) * c_dim1];
|
|
f14 = c[i + (j + 3) * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + (j + 1) * b_dim1];
|
|
f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + (j + 2) * b_dim1];
|
|
f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + (j + 3) * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
c[i + (j + 1) * c_dim1] = f12;
|
|
c[i + (j + 2) * c_dim1] = f13;
|
|
c[i + (j + 3) * c_dim1] = f14;
|
|
}
|
|
}
|
|
}
|
|
if (ujsec < jsec)
|
|
{
|
|
i4 = jj + jsec - 1;
|
|
for (j = jj + ujsec; j <= i4; ++j)
|
|
{
|
|
i5 = ii + uisec - 1;
|
|
for (i = ii; i <= i5; i += 4)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
f21 = c[i + 1 + j * c_dim1];
|
|
f31 = c[i + 2 + j * c_dim1];
|
|
f41 = c[i + 3 + j * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
c[i + 1 + j * c_dim1] = f21;
|
|
c[i + 2 + j * c_dim1] = f31;
|
|
c[i + 3 + j * c_dim1] = f41;
|
|
}
|
|
i5 = ii + isec - 1;
|
|
for (i = ii + uisec; i <= i5; ++i)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
free(t1);
|
|
return;
|
|
}
|
|
else if (rxstride == 1 && aystride == 1 && bxstride == 1)
|
|
{
|
|
if (GFC_DESCRIPTOR_RANK (a) != 1)
|
|
{
|
|
const GFC_REAL_16 *restrict abase_x;
|
|
const GFC_REAL_16 *restrict bbase_y;
|
|
GFC_REAL_16 *restrict dest_y;
|
|
GFC_REAL_16 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_16) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase_x[n] * bbase_y[n];
|
|
dest_y[x] = s;
|
|
}
|
|
}
|
|
}
|
|
else
|
|
{
|
|
const GFC_REAL_16 *restrict bbase_y;
|
|
GFC_REAL_16 s;
|
|
|
|
for (y = 0; y < ycount; y++)
|
|
{
|
|
bbase_y = &bbase[y*bystride];
|
|
s = (GFC_REAL_16) 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_16)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_16 *restrict bbase_y;
|
|
GFC_REAL_16 s;
|
|
|
|
for (y = 0; y < ycount; y++)
|
|
{
|
|
bbase_y = &bbase[y*bystride];
|
|
s = (GFC_REAL_16) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase[n*axstride] * bbase_y[n*bxstride];
|
|
dest[y*rxstride] = s;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
const GFC_REAL_16 *restrict abase_x;
|
|
const GFC_REAL_16 *restrict bbase_y;
|
|
GFC_REAL_16 *restrict dest_y;
|
|
GFC_REAL_16 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_16) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase_x[n*aystride] * bbase_y[n*bxstride];
|
|
dest_y[x*rxstride] = s;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
#undef POW3
|
|
#undef min
|
|
#undef max
|
|
|
|
|
|
/* Compiling main function, with selection code for the processor. */
|
|
|
|
/* Currently, this is i386 only. Adjust for other architectures. */
|
|
|
|
#include <config/i386/cpuinfo.h>
|
|
void matmul_r16 (gfc_array_r16 * const restrict retarray,
|
|
gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
|
|
int blas_limit, blas_call gemm)
|
|
{
|
|
static void (*matmul_p) (gfc_array_r16 * const restrict retarray,
|
|
gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
|
|
int blas_limit, blas_call gemm);
|
|
|
|
void (*matmul_fn) (gfc_array_r16 * const restrict retarray,
|
|
gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
|
|
int blas_limit, blas_call gemm);
|
|
|
|
matmul_fn = __atomic_load_n (&matmul_p, __ATOMIC_RELAXED);
|
|
if (matmul_fn == NULL)
|
|
{
|
|
matmul_fn = matmul_r16_vanilla;
|
|
if (__cpu_model.__cpu_vendor == VENDOR_INTEL)
|
|
{
|
|
/* Run down the available processors in order of preference. */
|
|
#ifdef HAVE_AVX512F
|
|
if (__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX512F))
|
|
{
|
|
matmul_fn = matmul_r16_avx512f;
|
|
goto store;
|
|
}
|
|
|
|
#endif /* HAVE_AVX512F */
|
|
|
|
#ifdef HAVE_AVX2
|
|
if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX2))
|
|
&& (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA)))
|
|
{
|
|
matmul_fn = matmul_r16_avx2;
|
|
goto store;
|
|
}
|
|
|
|
#endif
|
|
|
|
#ifdef HAVE_AVX
|
|
if (__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
|
|
{
|
|
matmul_fn = matmul_r16_avx;
|
|
goto store;
|
|
}
|
|
#endif /* HAVE_AVX */
|
|
}
|
|
else if (__cpu_model.__cpu_vendor == VENDOR_AMD)
|
|
{
|
|
#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
|
|
if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
|
|
&& (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA)))
|
|
{
|
|
matmul_fn = matmul_r16_avx128_fma3;
|
|
goto store;
|
|
}
|
|
#endif
|
|
#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
|
|
if ((__cpu_model.__cpu_features[0] & (1 << FEATURE_AVX))
|
|
&& (__cpu_model.__cpu_features[0] & (1 << FEATURE_FMA4)))
|
|
{
|
|
matmul_fn = matmul_r16_avx128_fma4;
|
|
goto store;
|
|
}
|
|
#endif
|
|
|
|
}
|
|
store:
|
|
__atomic_store_n (&matmul_p, matmul_fn, __ATOMIC_RELAXED);
|
|
}
|
|
|
|
(*matmul_fn) (retarray, a, b, try_blas, blas_limit, gemm);
|
|
}
|
|
|
|
#else /* Just the vanilla function. */
|
|
|
|
void
|
|
matmul_r16 (gfc_array_r16 * const restrict retarray,
|
|
gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
|
|
int blas_limit, blas_call gemm)
|
|
{
|
|
const GFC_REAL_16 * restrict abase;
|
|
const GFC_REAL_16 * restrict bbase;
|
|
GFC_REAL_16 * 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_REAL_16));
|
|
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 ("Array bound mismatch for dimension 1 of "
|
|
"array (%ld/%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 ("Array bound mismatch for dimension 1 of "
|
|
"array (%ld/%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 ("Array bound mismatch for dimension 1 of "
|
|
"array (%ld/%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 ("Array bound mismatch for dimension 2 of "
|
|
"array (%ld/%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 ("Incorrect extent in argument B in MATMUL intrinsic "
|
|
"in dimension 1: is %ld, should be %ld",
|
|
(long int) GFC_DESCRIPTOR_EXTENT(b,0), (long int) count);
|
|
}
|
|
|
|
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.
|
|
The value is only used for calculation of the
|
|
memory by the buffer. */
|
|
bystride = 256;
|
|
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 perform the multiplication
|
|
itself. */
|
|
|
|
#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
|
|
#define min(a,b) ((a) <= (b) ? (a) : (b))
|
|
#define max(a,b) ((a) >= (b) ? (a) : (b))
|
|
|
|
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_16 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);
|
|
const char *transa, *transb;
|
|
if (try_blas & 2)
|
|
transa = "C";
|
|
else
|
|
transa = axstride == 1 ? "N" : "T";
|
|
|
|
if (try_blas & 4)
|
|
transb = "C";
|
|
else
|
|
transb = bxstride == 1 ? "N" : "T";
|
|
|
|
gemm (transa, transb , &m,
|
|
&n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
|
|
&ldc, 1, 1);
|
|
return;
|
|
}
|
|
}
|
|
|
|
if (rxstride == 1 && axstride == 1 && bxstride == 1)
|
|
{
|
|
/* This block of code implements a tuned matmul, derived from
|
|
Superscalar GEMM-based level 3 BLAS, Beta version 0.1
|
|
|
|
Bo Kagstrom and Per Ling
|
|
Department of Computing Science
|
|
Umea University
|
|
S-901 87 Umea, Sweden
|
|
|
|
from netlib.org, translated to C, and modified for matmul.m4. */
|
|
|
|
const GFC_REAL_16 *a, *b;
|
|
GFC_REAL_16 *c;
|
|
const index_type m = xcount, n = ycount, k = count;
|
|
|
|
/* System generated locals */
|
|
index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
|
|
i1, i2, i3, i4, i5, i6;
|
|
|
|
/* Local variables */
|
|
GFC_REAL_16 f11, f12, f21, f22, f31, f32, f41, f42,
|
|
f13, f14, f23, f24, f33, f34, f43, f44;
|
|
index_type i, j, l, ii, jj, ll;
|
|
index_type isec, jsec, lsec, uisec, ujsec, ulsec;
|
|
GFC_REAL_16 *t1;
|
|
|
|
a = abase;
|
|
b = bbase;
|
|
c = retarray->base_addr;
|
|
|
|
/* Parameter adjustments */
|
|
c_dim1 = rystride;
|
|
c_offset = 1 + c_dim1;
|
|
c -= c_offset;
|
|
a_dim1 = aystride;
|
|
a_offset = 1 + a_dim1;
|
|
a -= a_offset;
|
|
b_dim1 = bystride;
|
|
b_offset = 1 + b_dim1;
|
|
b -= b_offset;
|
|
|
|
/* Empty c first. */
|
|
for (j=1; j<=n; j++)
|
|
for (i=1; i<=m; i++)
|
|
c[i + j * c_dim1] = (GFC_REAL_16)0;
|
|
|
|
/* Early exit if possible */
|
|
if (m == 0 || n == 0 || k == 0)
|
|
return;
|
|
|
|
/* Adjust size of t1 to what is needed. */
|
|
index_type t1_dim, a_sz;
|
|
if (aystride == 1)
|
|
a_sz = rystride;
|
|
else
|
|
a_sz = a_dim1;
|
|
|
|
t1_dim = a_sz * 256 + b_dim1;
|
|
if (t1_dim > 65536)
|
|
t1_dim = 65536;
|
|
|
|
t1 = malloc (t1_dim * sizeof(GFC_REAL_16));
|
|
|
|
/* Start turning the crank. */
|
|
i1 = n;
|
|
for (jj = 1; jj <= i1; jj += 512)
|
|
{
|
|
/* Computing MIN */
|
|
i2 = 512;
|
|
i3 = n - jj + 1;
|
|
jsec = min(i2,i3);
|
|
ujsec = jsec - jsec % 4;
|
|
i2 = k;
|
|
for (ll = 1; ll <= i2; ll += 256)
|
|
{
|
|
/* Computing MIN */
|
|
i3 = 256;
|
|
i4 = k - ll + 1;
|
|
lsec = min(i3,i4);
|
|
ulsec = lsec - lsec % 2;
|
|
|
|
i3 = m;
|
|
for (ii = 1; ii <= i3; ii += 256)
|
|
{
|
|
/* Computing MIN */
|
|
i4 = 256;
|
|
i5 = m - ii + 1;
|
|
isec = min(i4,i5);
|
|
uisec = isec - isec % 2;
|
|
i4 = ll + ulsec - 1;
|
|
for (l = ll; l <= i4; l += 2)
|
|
{
|
|
i5 = ii + uisec - 1;
|
|
for (i = ii; i <= i5; i += 2)
|
|
{
|
|
t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
|
|
a[i + l * a_dim1];
|
|
t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
|
|
a[i + (l + 1) * a_dim1];
|
|
t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
|
|
a[i + 1 + l * a_dim1];
|
|
t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
|
|
a[i + 1 + (l + 1) * a_dim1];
|
|
}
|
|
if (uisec < isec)
|
|
{
|
|
t1[l - ll + 1 + (isec << 8) - 257] =
|
|
a[ii + isec - 1 + l * a_dim1];
|
|
t1[l - ll + 2 + (isec << 8) - 257] =
|
|
a[ii + isec - 1 + (l + 1) * a_dim1];
|
|
}
|
|
}
|
|
if (ulsec < lsec)
|
|
{
|
|
i4 = ii + isec - 1;
|
|
for (i = ii; i<= i4; ++i)
|
|
{
|
|
t1[lsec + ((i - ii + 1) << 8) - 257] =
|
|
a[i + (ll + lsec - 1) * a_dim1];
|
|
}
|
|
}
|
|
|
|
uisec = isec - isec % 4;
|
|
i4 = jj + ujsec - 1;
|
|
for (j = jj; j <= i4; j += 4)
|
|
{
|
|
i5 = ii + uisec - 1;
|
|
for (i = ii; i <= i5; i += 4)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
f21 = c[i + 1 + j * c_dim1];
|
|
f12 = c[i + (j + 1) * c_dim1];
|
|
f22 = c[i + 1 + (j + 1) * c_dim1];
|
|
f13 = c[i + (j + 2) * c_dim1];
|
|
f23 = c[i + 1 + (j + 2) * c_dim1];
|
|
f14 = c[i + (j + 3) * c_dim1];
|
|
f24 = c[i + 1 + (j + 3) * c_dim1];
|
|
f31 = c[i + 2 + j * c_dim1];
|
|
f41 = c[i + 3 + j * c_dim1];
|
|
f32 = c[i + 2 + (j + 1) * c_dim1];
|
|
f42 = c[i + 3 + (j + 1) * c_dim1];
|
|
f33 = c[i + 2 + (j + 2) * c_dim1];
|
|
f43 = c[i + 3 + (j + 2) * c_dim1];
|
|
f34 = c[i + 2 + (j + 3) * c_dim1];
|
|
f44 = c[i + 3 + (j + 3) * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
|
|
* b[l + j * b_dim1];
|
|
f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
|
|
* b[l + j * b_dim1];
|
|
f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + j * b_dim1];
|
|
f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + j * b_dim1];
|
|
f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + (j + 1) * b_dim1];
|
|
f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + (j + 2) * b_dim1];
|
|
f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
|
|
* b[l + (j + 3) * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
c[i + 1 + j * c_dim1] = f21;
|
|
c[i + (j + 1) * c_dim1] = f12;
|
|
c[i + 1 + (j + 1) * c_dim1] = f22;
|
|
c[i + (j + 2) * c_dim1] = f13;
|
|
c[i + 1 + (j + 2) * c_dim1] = f23;
|
|
c[i + (j + 3) * c_dim1] = f14;
|
|
c[i + 1 + (j + 3) * c_dim1] = f24;
|
|
c[i + 2 + j * c_dim1] = f31;
|
|
c[i + 3 + j * c_dim1] = f41;
|
|
c[i + 2 + (j + 1) * c_dim1] = f32;
|
|
c[i + 3 + (j + 1) * c_dim1] = f42;
|
|
c[i + 2 + (j + 2) * c_dim1] = f33;
|
|
c[i + 3 + (j + 2) * c_dim1] = f43;
|
|
c[i + 2 + (j + 3) * c_dim1] = f34;
|
|
c[i + 3 + (j + 3) * c_dim1] = f44;
|
|
}
|
|
if (uisec < isec)
|
|
{
|
|
i5 = ii + isec - 1;
|
|
for (i = ii + uisec; i <= i5; ++i)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
f12 = c[i + (j + 1) * c_dim1];
|
|
f13 = c[i + (j + 2) * c_dim1];
|
|
f14 = c[i + (j + 3) * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + (j + 1) * b_dim1];
|
|
f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + (j + 2) * b_dim1];
|
|
f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + (j + 3) * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
c[i + (j + 1) * c_dim1] = f12;
|
|
c[i + (j + 2) * c_dim1] = f13;
|
|
c[i + (j + 3) * c_dim1] = f14;
|
|
}
|
|
}
|
|
}
|
|
if (ujsec < jsec)
|
|
{
|
|
i4 = jj + jsec - 1;
|
|
for (j = jj + ujsec; j <= i4; ++j)
|
|
{
|
|
i5 = ii + uisec - 1;
|
|
for (i = ii; i <= i5; i += 4)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
f21 = c[i + 1 + j * c_dim1];
|
|
f31 = c[i + 2 + j * c_dim1];
|
|
f41 = c[i + 3 + j * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
c[i + 1 + j * c_dim1] = f21;
|
|
c[i + 2 + j * c_dim1] = f31;
|
|
c[i + 3 + j * c_dim1] = f41;
|
|
}
|
|
i5 = ii + isec - 1;
|
|
for (i = ii + uisec; i <= i5; ++i)
|
|
{
|
|
f11 = c[i + j * c_dim1];
|
|
i6 = ll + lsec - 1;
|
|
for (l = ll; l <= i6; ++l)
|
|
{
|
|
f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
|
|
257] * b[l + j * b_dim1];
|
|
}
|
|
c[i + j * c_dim1] = f11;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
free(t1);
|
|
return;
|
|
}
|
|
else if (rxstride == 1 && aystride == 1 && bxstride == 1)
|
|
{
|
|
if (GFC_DESCRIPTOR_RANK (a) != 1)
|
|
{
|
|
const GFC_REAL_16 *restrict abase_x;
|
|
const GFC_REAL_16 *restrict bbase_y;
|
|
GFC_REAL_16 *restrict dest_y;
|
|
GFC_REAL_16 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_16) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase_x[n] * bbase_y[n];
|
|
dest_y[x] = s;
|
|
}
|
|
}
|
|
}
|
|
else
|
|
{
|
|
const GFC_REAL_16 *restrict bbase_y;
|
|
GFC_REAL_16 s;
|
|
|
|
for (y = 0; y < ycount; y++)
|
|
{
|
|
bbase_y = &bbase[y*bystride];
|
|
s = (GFC_REAL_16) 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_16)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_16 *restrict bbase_y;
|
|
GFC_REAL_16 s;
|
|
|
|
for (y = 0; y < ycount; y++)
|
|
{
|
|
bbase_y = &bbase[y*bystride];
|
|
s = (GFC_REAL_16) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase[n*axstride] * bbase_y[n*bxstride];
|
|
dest[y*rxstride] = s;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
const GFC_REAL_16 *restrict abase_x;
|
|
const GFC_REAL_16 *restrict bbase_y;
|
|
GFC_REAL_16 *restrict dest_y;
|
|
GFC_REAL_16 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_16) 0;
|
|
for (n = 0; n < count; n++)
|
|
s += abase_x[n*aystride] * bbase_y[n*bxstride];
|
|
dest_y[x*rxstride] = s;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
#undef POW3
|
|
#undef min
|
|
#undef max
|
|
|
|
#endif
|
|
#endif
|
|
|