976 lines
32 KiB
C
976 lines
32 KiB
C
/***************************************************************************
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Copyright (c) 2018, The OpenBLAS Project
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All rights reserved.
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions are
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met:
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1. Redistributions of source code must retain the above copyright
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notice, this list of conditions and the following disclaimer.
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2. Redistributions in binary form must reproduce the above copyright
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notice, this list of conditions and the following disclaimer in
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the documentation and/or other materials provided with the
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distribution.
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3. Neither the name of the OpenBLAS project nor the names of
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its contributors may be used to endorse or promote products
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derived from this software without specific prior written permission.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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ARE DISCLAIMED. IN NO EVENT SHALL THE OPENBLAS PROJECT OR CONTRIBUTORS BE
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LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
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OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
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USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*****************************************************************************/
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#include "common.h"
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#define NBMAX 4096
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#if defined(__VEC__) || defined(__ALTIVEC__)
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#define HAVE_KERNEL_4x4_VEC 1
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#define HAVE_KERNEL_4x2_VEC 1
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#define HAVE_KERNEL_4x1_VEC 1
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#endif
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#if defined(HAVE_KERNEL_4x4_VEC) || defined(HAVE_KERNEL_4x2_VEC) || defined(HAVE_KERNEL_4x1_VEC)
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#include <altivec.h>
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#endif
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#ifdef HAVE_KERNEL_4x4_VEC_ASM
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#elif HAVE_KERNEL_4x4_VEC
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#if defined(POWER10)
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typedef __vector unsigned char vec_t;
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typedef FLOAT v4sf_t __attribute__ ((vector_size (16)));
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static void zgemv_kernel_4x4(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
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BLASLONG i;
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FLOAT *a0, *a1, *a2, *a3;
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a0 = ap;
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a1 = ap + lda;
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a2 = a1 + lda;
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a3 = a2 + lda;
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__vector_quad acc0, acc1, acc2, acc3;;
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__vector_quad acc4, acc5, acc6, acc7;
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v4sf_t result[4];
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__vector_pair *Va0, *Va1, *Va2, *Va3;
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i = 0;
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n = n << 1;
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__builtin_mma_xxsetaccz (&acc0);
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__builtin_mma_xxsetaccz (&acc1);
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__builtin_mma_xxsetaccz (&acc2);
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__builtin_mma_xxsetaccz (&acc3);
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__builtin_mma_xxsetaccz (&acc4);
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__builtin_mma_xxsetaccz (&acc5);
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__builtin_mma_xxsetaccz (&acc6);
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__builtin_mma_xxsetaccz (&acc7);
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while (i < n) {
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vec_t *rx = (vec_t *) & x[i];
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Va0 = ((__vector_pair*)((void*)&a0[i]));
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Va1 = ((__vector_pair*)((void*)&a1[i]));
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Va2 = ((__vector_pair*)((void*)&a2[i]));
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Va3 = ((__vector_pair*)((void*)&a3[i]));
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__builtin_mma_xvf64gerpp (&acc0, Va0[0], rx[0]);
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__builtin_mma_xvf64gerpp (&acc1, Va1[0], rx[0]);
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__builtin_mma_xvf64gerpp (&acc2, Va2[0], rx[0]);
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__builtin_mma_xvf64gerpp (&acc3, Va3[0], rx[0]);
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__builtin_mma_xvf64gerpp (&acc4, Va0[0], rx[1]);
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__builtin_mma_xvf64gerpp (&acc5, Va1[0], rx[1]);
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__builtin_mma_xvf64gerpp (&acc6, Va2[0], rx[1]);
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__builtin_mma_xvf64gerpp (&acc7, Va3[0], rx[1]);
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__builtin_mma_xvf64gerpp (&acc0, Va0[1], rx[2]);
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__builtin_mma_xvf64gerpp (&acc1, Va1[1], rx[2]);
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__builtin_mma_xvf64gerpp (&acc2, Va2[1], rx[2]);
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__builtin_mma_xvf64gerpp (&acc3, Va3[1], rx[2]);
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__builtin_mma_xvf64gerpp (&acc4, Va0[1], rx[3]);
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__builtin_mma_xvf64gerpp (&acc5, Va1[1], rx[3]);
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__builtin_mma_xvf64gerpp (&acc6, Va2[1], rx[3]);
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__builtin_mma_xvf64gerpp (&acc7, Va3[1], rx[3]);
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i += 8;
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}
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#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
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__builtin_mma_disassemble_acc ((void *)result, &acc0);
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register FLOAT temp_r0 = result[0][0] - result[1][1];
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register FLOAT temp_i0 = result[0][1] + result[1][0];
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__builtin_mma_disassemble_acc ((void *)result, &acc4);
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temp_r0 += result[2][0] - result[3][1];
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temp_i0 += result[2][1] + result[3][0];
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__builtin_mma_disassemble_acc ((void *)result, &acc1);
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register FLOAT temp_r1 = result[0][0] - result[1][1];
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register FLOAT temp_i1 = result[0][1] + result[1][0];
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__builtin_mma_disassemble_acc ((void *)result, &acc5);
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temp_r1 += result[2][0] - result[3][1];
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temp_i1 += result[2][1] + result[3][0];
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__builtin_mma_disassemble_acc ((void *)result, &acc2);
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register FLOAT temp_r2 = result[0][0] - result[1][1];
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register FLOAT temp_i2 = result[0][1] + result[1][0];
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__builtin_mma_disassemble_acc ((void *)result, &acc6);
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temp_r2 += result[2][0] - result[3][1];
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temp_i2 += result[2][1] + result[3][0];
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__builtin_mma_disassemble_acc ((void *)result, &acc3);
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register FLOAT temp_r3 = result[0][0] - result[1][1];
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register FLOAT temp_i3 = result[0][1] + result[1][0];
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__builtin_mma_disassemble_acc ((void *)result, &acc7);
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temp_r3 += result[2][0] - result[3][1];
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temp_i3 += result[2][1] + result[3][0];
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#else
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__builtin_mma_disassemble_acc ((void *)result, &acc0);
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register FLOAT temp_r0 = result[0][0] + result[1][1];
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register FLOAT temp_i0 = result[0][1] - result[1][0];
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__builtin_mma_disassemble_acc ((void *)result, &acc4);
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temp_r0 += result[2][0] + result[3][1];
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temp_i0 += result[2][1] - result[3][0];
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__builtin_mma_disassemble_acc ((void *)result, &acc1);
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register FLOAT temp_r1 = result[0][0] + result[1][1];
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register FLOAT temp_i1 = result[0][1] - result[1][0];
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__builtin_mma_disassemble_acc ((void *)result, &acc5);
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temp_r1 += result[2][0] + result[3][1];
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temp_i1 += result[2][1] - result[3][0];
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__builtin_mma_disassemble_acc ((void *)result, &acc2);
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register FLOAT temp_r2 = result[0][0] + result[1][1];
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register FLOAT temp_i2 = result[0][1] - result[1][0];
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__builtin_mma_disassemble_acc ((void *)result, &acc6);
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temp_r2 += result[2][0] + result[3][1];
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temp_i2 += result[2][1] - result[3][0];
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__builtin_mma_disassemble_acc ((void *)result, &acc3);
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register FLOAT temp_r3 = result[0][0] + result[1][1];
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register FLOAT temp_i3 = result[0][1] - result[1][0];
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__builtin_mma_disassemble_acc ((void *)result, &acc7);
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temp_r3 += result[2][0] + result[3][1];
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temp_i3 += result[2][1] - result[3][0];
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#endif
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#if !defined(XCONJ)
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y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
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y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
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y[2] += alpha_r * temp_r1 - alpha_i * temp_i1;
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y[3] += alpha_r * temp_i1 + alpha_i * temp_r1;
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y[4] += alpha_r * temp_r2 - alpha_i * temp_i2;
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y[5] += alpha_r * temp_i2 + alpha_i * temp_r2;
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y[6] += alpha_r * temp_r3 - alpha_i * temp_i3;
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y[7] += alpha_r * temp_i3 + alpha_i * temp_r3;
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#else
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y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
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y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
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y[2] += alpha_r * temp_r1 + alpha_i * temp_i1;
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y[3] -= alpha_r * temp_i1 - alpha_i * temp_r1;
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y[4] += alpha_r * temp_r2 + alpha_i * temp_i2;
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y[5] -= alpha_r * temp_i2 - alpha_i * temp_r2;
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y[6] += alpha_r * temp_r3 + alpha_i * temp_i3;
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y[7] -= alpha_r * temp_i3 - alpha_i * temp_r3;
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#endif
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}
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#else
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static void zgemv_kernel_4x4(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
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BLASLONG i;
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FLOAT *a0, *a1, *a2, *a3;
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a0 = ap;
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a1 = ap + lda;
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a2 = a1 + lda;
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a3 = a2 + lda;
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//p for positive(real*real,image*image) r for image (real*image,image*real)
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register __vector double vtemp0_p = {0.0, 0.0};
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register __vector double vtemp0_r = {0.0, 0.0};
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register __vector double vtemp1_p = {0.0, 0.0};
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register __vector double vtemp1_r = {0.0, 0.0};
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register __vector double vtemp2_p = {0.0, 0.0};
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register __vector double vtemp2_r = {0.0, 0.0};
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register __vector double vtemp3_p = {0.0, 0.0};
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register __vector double vtemp3_r = {0.0, 0.0};
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i = 0;
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n = n << 1;
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while (i < n) {
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register __vector double vx_0 = *(__vector double*) (&x[i]);
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register __vector double vx_1 = *(__vector double*) (&x[i + 2]);
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register __vector double vx_2 = *(__vector double*) (&x[i + 4]);
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register __vector double vx_3 = *(__vector double*) (&x[i + 6]);
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register __vector double va0 = *(__vector double*) (&a0[i]);
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register __vector double va0_1 = *(__vector double*) (&a0[i + 2]);
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register __vector double va0_2 = *(__vector double*) (&a0[i + 4]);
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register __vector double va0_3 = *(__vector double*) (&a0[i + 6]);
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register __vector double va1 = *(__vector double*) (&a1[i]);
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register __vector double va1_1 = *(__vector double*) (&a1[i + 2]);
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register __vector double va1_2 = *(__vector double*) (&a1[i + 4]);
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register __vector double va1_3 = *(__vector double*) (&a1[i + 6]);
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register __vector double va2 = *(__vector double*) (&a2[i]);
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register __vector double va2_1 = *(__vector double*) (&a2[i + 2]);
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register __vector double va2_2 = *(__vector double*) (&a2[i + 4]);
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register __vector double va2_3 = *(__vector double*) (&a2[i + 6]);
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register __vector double va3 = *(__vector double*) (&a3[i]);
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register __vector double va3_1 = *(__vector double*) (&a3[i + 2]);
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register __vector double va3_2 = *(__vector double*) (&a3[i + 4]);
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register __vector double va3_3 = *(__vector double*) (&a3[i + 6]);
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register __vector double vxr_0 = vec_xxpermdi(vx_0, vx_0, 2);
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register __vector double vxr_1 = vec_xxpermdi(vx_1, vx_1, 2);
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i += 8;
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vtemp0_p += vx_0*va0;
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vtemp0_r += vxr_0*va0;
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vtemp1_p += vx_0*va1;
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vtemp1_r += vxr_0*va1;
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vtemp2_p += vx_0*va2;
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vtemp2_r += vxr_0*va2;
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vtemp3_p += vx_0*va3;
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vtemp3_r += vxr_0*va3;
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vtemp0_p += vx_1*va0_1;
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vtemp0_r += vxr_1*va0_1;
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vtemp1_p += vx_1*va1_1;
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vtemp1_r += vxr_1*va1_1;
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vxr_0 = vec_xxpermdi(vx_2, vx_2, 2);
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vtemp2_p += vx_1*va2_1;
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vtemp2_r += vxr_1*va2_1;
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vtemp3_p += vx_1*va3_1;
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vtemp3_r += vxr_1*va3_1;
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vtemp0_p += vx_2*va0_2;
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vtemp0_r += vxr_0*va0_2;
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vxr_1 = vec_xxpermdi(vx_3, vx_3, 2);
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vtemp1_p += vx_2*va1_2;
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vtemp1_r += vxr_0*va1_2;
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vtemp2_p += vx_2*va2_2;
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vtemp2_r += vxr_0*va2_2;
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vtemp3_p += vx_2*va3_2;
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vtemp3_r += vxr_0*va3_2;
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vtemp0_p += vx_3*va0_3;
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vtemp0_r += vxr_1*va0_3;
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vtemp1_p += vx_3*va1_3;
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vtemp1_r += vxr_1*va1_3;
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vtemp2_p += vx_3*va2_3;
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vtemp2_r += vxr_1*va2_3;
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vtemp3_p += vx_3*va3_3;
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vtemp3_r += vxr_1*va3_3;
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}
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#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
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register FLOAT temp_r0 = vtemp0_p[0] - vtemp0_p[1];
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register FLOAT temp_i0 = vtemp0_r[0] + vtemp0_r[1];
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register FLOAT temp_r1 = vtemp1_p[0] - vtemp1_p[1];
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register FLOAT temp_i1 = vtemp1_r[0] + vtemp1_r[1];
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register FLOAT temp_r2 = vtemp2_p[0] - vtemp2_p[1];
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register FLOAT temp_i2 = vtemp2_r[0] + vtemp2_r[1];
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register FLOAT temp_r3 = vtemp3_p[0] - vtemp3_p[1];
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register FLOAT temp_i3 = vtemp3_r[0] + vtemp3_r[1];
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#else
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register FLOAT temp_r0 = vtemp0_p[0] + vtemp0_p[1];
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register FLOAT temp_i0 = vtemp0_r[0] - vtemp0_r[1];
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register FLOAT temp_r1 = vtemp1_p[0] + vtemp1_p[1];
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register FLOAT temp_i1 = vtemp1_r[0] - vtemp1_r[1];
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register FLOAT temp_r2 = vtemp2_p[0] + vtemp2_p[1];
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register FLOAT temp_i2 = vtemp2_r[0] - vtemp2_r[1];
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register FLOAT temp_r3 = vtemp3_p[0] + vtemp3_p[1];
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register FLOAT temp_i3 = vtemp3_r[0] - vtemp3_r[1];
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#endif
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#if !defined(XCONJ)
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y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
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y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
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y[2] += alpha_r * temp_r1 - alpha_i * temp_i1;
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y[3] += alpha_r * temp_i1 + alpha_i * temp_r1;
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y[4] += alpha_r * temp_r2 - alpha_i * temp_i2;
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y[5] += alpha_r * temp_i2 + alpha_i * temp_r2;
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y[6] += alpha_r * temp_r3 - alpha_i * temp_i3;
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y[7] += alpha_r * temp_i3 + alpha_i * temp_r3;
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#else
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y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
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y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
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y[2] += alpha_r * temp_r1 + alpha_i * temp_i1;
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y[3] -= alpha_r * temp_i1 - alpha_i * temp_r1;
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y[4] += alpha_r * temp_r2 + alpha_i * temp_i2;
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y[5] -= alpha_r * temp_i2 - alpha_i * temp_r2;
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y[6] += alpha_r * temp_r3 + alpha_i * temp_i3;
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y[7] -= alpha_r * temp_i3 - alpha_i * temp_r3;
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#endif
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}
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#endif
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#else
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static void zgemv_kernel_4x4(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
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BLASLONG i;
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FLOAT *a0, *a1, *a2, *a3;
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a0 = ap;
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a1 = ap + lda;
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a2 = a1 + lda;
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a3 = a2 + lda;
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FLOAT temp_r0 = 0.0;
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FLOAT temp_r1 = 0.0;
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FLOAT temp_r2 = 0.0;
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FLOAT temp_r3 = 0.0;
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FLOAT temp_i0 = 0.0;
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FLOAT temp_i1 = 0.0;
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FLOAT temp_i2 = 0.0;
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FLOAT temp_i3 = 0.0;
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for (i = 0; i < 2 * n; i += 2) {
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#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
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temp_r0 += a0[i] * x[i] - a0[i + 1] * x[i + 1];
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temp_i0 += a0[i] * x[i + 1] + a0[i + 1] * x[i];
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temp_r1 += a1[i] * x[i] - a1[i + 1] * x[i + 1];
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temp_i1 += a1[i] * x[i + 1] + a1[i + 1] * x[i];
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temp_r2 += a2[i] * x[i] - a2[i + 1] * x[i + 1];
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temp_i2 += a2[i] * x[i + 1] + a2[i + 1] * x[i];
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temp_r3 += a3[i] * x[i] - a3[i + 1] * x[i + 1];
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temp_i3 += a3[i] * x[i + 1] + a3[i + 1] * x[i];
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#else
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temp_r0 += a0[i] * x[i] + a0[i + 1] * x[i + 1];
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temp_i0 += a0[i] * x[i + 1] - a0[i + 1] * x[i];
|
|
temp_r1 += a1[i] * x[i] + a1[i + 1] * x[i + 1];
|
|
temp_i1 += a1[i] * x[i + 1] - a1[i + 1] * x[i];
|
|
temp_r2 += a2[i] * x[i] + a2[i + 1] * x[i + 1];
|
|
temp_i2 += a2[i] * x[i + 1] - a2[i + 1] * x[i];
|
|
temp_r3 += a3[i] * x[i] + a3[i + 1] * x[i + 1];
|
|
temp_i3 += a3[i] * x[i + 1] - a3[i + 1] * x[i];
|
|
#endif
|
|
}
|
|
|
|
#if !defined(XCONJ)
|
|
|
|
y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
|
|
y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
|
|
y[2] += alpha_r * temp_r1 - alpha_i * temp_i1;
|
|
y[3] += alpha_r * temp_i1 + alpha_i * temp_r1;
|
|
y[4] += alpha_r * temp_r2 - alpha_i * temp_i2;
|
|
y[5] += alpha_r * temp_i2 + alpha_i * temp_r2;
|
|
y[6] += alpha_r * temp_r3 - alpha_i * temp_i3;
|
|
y[7] += alpha_r * temp_i3 + alpha_i * temp_r3;
|
|
|
|
#else
|
|
|
|
y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
|
|
y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
|
|
y[2] += alpha_r * temp_r1 + alpha_i * temp_i1;
|
|
y[3] -= alpha_r * temp_i1 - alpha_i * temp_r1;
|
|
y[4] += alpha_r * temp_r2 + alpha_i * temp_i2;
|
|
y[5] -= alpha_r * temp_i2 - alpha_i * temp_r2;
|
|
y[6] += alpha_r * temp_r3 + alpha_i * temp_i3;
|
|
y[7] -= alpha_r * temp_i3 - alpha_i * temp_r3;
|
|
|
|
#endif
|
|
}
|
|
|
|
#endif
|
|
|
|
#ifdef HAVE_KERNEL_4x2_VEC
|
|
|
|
static void zgemv_kernel_4x2(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
|
|
BLASLONG i;
|
|
FLOAT *a0, *a1;
|
|
a0 = ap;
|
|
a1 = ap + lda;
|
|
//p for positive(real*real,image*image) r for image (real*image,image*real)
|
|
register __vector double vtemp0_p = {0.0, 0.0};
|
|
register __vector double vtemp0_r = {0.0, 0.0};
|
|
register __vector double vtemp1_p = {0.0, 0.0};
|
|
register __vector double vtemp1_r = {0.0, 0.0};
|
|
i = 0;
|
|
n = n << 1;
|
|
while (i < n) {
|
|
|
|
register __vector double vx_0 = *(__vector double*) (&x[i]);
|
|
register __vector double vx_1 = *(__vector double*) (&x[i + 2]);
|
|
register __vector double vx_2 = *(__vector double*) (&x[i + 4]);
|
|
register __vector double vx_3 = *(__vector double*) (&x[i + 6]);
|
|
|
|
register __vector double va0 = *(__vector double*) (&a0[i]);
|
|
register __vector double va0_1 = *(__vector double*) (&a0[i + 2]);
|
|
register __vector double va0_2 = *(__vector double*) (&a0[i + 4]);
|
|
register __vector double va0_3 = *(__vector double*) (&a0[i + 6]);
|
|
|
|
register __vector double va1 = *(__vector double*) (&a1[i]);
|
|
register __vector double va1_1 = *(__vector double*) (&a1[i + 2]);
|
|
register __vector double va1_2 = *(__vector double*) (&a1[i + 4]);
|
|
register __vector double va1_3 = *(__vector double*) (&a1[i + 6]);
|
|
|
|
register __vector double vxr_0 = vec_xxpermdi(vx_0, vx_0, 2);
|
|
register __vector double vxr_1 = vec_xxpermdi(vx_1, vx_1, 2);
|
|
|
|
i += 8;
|
|
|
|
vtemp0_p += vx_0*va0;
|
|
vtemp0_r += vxr_0*va0;
|
|
|
|
vtemp1_p += vx_0*va1;
|
|
vtemp1_r += vxr_0*va1;
|
|
|
|
vxr_0 = vec_xxpermdi(vx_2, vx_2, 2);
|
|
vtemp0_p += vx_1*va0_1;
|
|
vtemp0_r += vxr_1*va0_1;
|
|
|
|
vtemp1_p += vx_1*va1_1;
|
|
vtemp1_r += vxr_1*va1_1;
|
|
vxr_1 = vec_xxpermdi(vx_3, vx_3, 2);
|
|
|
|
vtemp0_p += vx_2*va0_2;
|
|
vtemp0_r += vxr_0*va0_2;
|
|
|
|
vtemp1_p += vx_2*va1_2;
|
|
vtemp1_r += vxr_0*va1_2;
|
|
|
|
vtemp0_p += vx_3*va0_3;
|
|
vtemp0_r += vxr_1*va0_3;
|
|
|
|
vtemp1_p += vx_3*va1_3;
|
|
vtemp1_r += vxr_1*va1_3;
|
|
|
|
}
|
|
|
|
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
|
|
register FLOAT temp_r0 = vtemp0_p[0] - vtemp0_p[1];
|
|
register FLOAT temp_i0 = vtemp0_r[0] + vtemp0_r[1];
|
|
|
|
register FLOAT temp_r1 = vtemp1_p[0] - vtemp1_p[1];
|
|
register FLOAT temp_i1 = vtemp1_r[0] + vtemp1_r[1];
|
|
|
|
#else
|
|
register FLOAT temp_r0 = vtemp0_p[0] + vtemp0_p[1];
|
|
register FLOAT temp_i0 = vtemp0_r[0] - vtemp0_r[1];
|
|
|
|
register FLOAT temp_r1 = vtemp1_p[0] + vtemp1_p[1];
|
|
register FLOAT temp_i1 = vtemp1_r[0] - vtemp1_r[1];
|
|
|
|
#endif
|
|
|
|
#if !defined(XCONJ)
|
|
|
|
y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
|
|
y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
|
|
y[2] += alpha_r * temp_r1 - alpha_i * temp_i1;
|
|
y[3] += alpha_r * temp_i1 + alpha_i * temp_r1;
|
|
|
|
#else
|
|
|
|
y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
|
|
y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
|
|
y[2] += alpha_r * temp_r1 + alpha_i * temp_i1;
|
|
y[3] -= alpha_r * temp_i1 - alpha_i * temp_r1;
|
|
|
|
#endif
|
|
}
|
|
|
|
#else
|
|
|
|
static void zgemv_kernel_4x2(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
|
|
BLASLONG i;
|
|
FLOAT *a0, *a1;
|
|
a0 = ap;
|
|
a1 = ap + lda;
|
|
|
|
FLOAT temp_r0 = 0.0;
|
|
FLOAT temp_r1 = 0.0;
|
|
FLOAT temp_i0 = 0.0;
|
|
FLOAT temp_i1 = 0.0;
|
|
|
|
for (i = 0; i < 2 * n; i += 2) {
|
|
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
|
|
temp_r0 += a0[i] * x[i] - a0[i + 1] * x[i + 1];
|
|
temp_i0 += a0[i] * x[i + 1] + a0[i + 1] * x[i];
|
|
temp_r1 += a1[i] * x[i] - a1[i + 1] * x[i + 1];
|
|
temp_i1 += a1[i] * x[i + 1] + a1[i + 1] * x[i];
|
|
#else
|
|
temp_r0 += a0[i] * x[i] + a0[i + 1] * x[i + 1];
|
|
temp_i0 += a0[i] * x[i + 1] - a0[i + 1] * x[i];
|
|
temp_r1 += a1[i] * x[i] + a1[i + 1] * x[i + 1];
|
|
temp_i1 += a1[i] * x[i + 1] - a1[i + 1] * x[i];
|
|
#endif
|
|
}
|
|
|
|
#if !defined(XCONJ)
|
|
|
|
y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
|
|
y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
|
|
y[2] += alpha_r * temp_r1 - alpha_i * temp_i1;
|
|
y[3] += alpha_r * temp_i1 + alpha_i * temp_r1;
|
|
|
|
#else
|
|
|
|
y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
|
|
y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
|
|
y[2] += alpha_r * temp_r1 + alpha_i * temp_i1;
|
|
y[3] -= alpha_r * temp_i1 - alpha_i * temp_r1;
|
|
|
|
#endif
|
|
}
|
|
|
|
#endif
|
|
|
|
#ifdef HAVE_KERNEL_4x1_VEC
|
|
|
|
static void zgemv_kernel_4x1(BLASLONG n, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
|
|
BLASLONG i;
|
|
FLOAT *a0 ;
|
|
a0 = ap;
|
|
//p for positive(real*real,image*image) r for image (real*image,image*real)
|
|
register __vector double vtemp0_p = {0.0, 0.0};
|
|
register __vector double vtemp0_r = {0.0, 0.0};
|
|
i = 0;
|
|
n = n << 1;
|
|
while (i < n) {
|
|
|
|
register __vector double vx_0 = *(__vector double*) (&x[i]);
|
|
register __vector double vx_1 = *(__vector double*) (&x[i + 2]);
|
|
register __vector double vx_2 = *(__vector double*) (&x[i + 4]);
|
|
register __vector double vx_3 = *(__vector double*) (&x[i + 6]);
|
|
|
|
register __vector double va0 = *(__vector double*) (&a0[i]);
|
|
register __vector double va0_1 = *(__vector double*) (&a0[i + 2]);
|
|
register __vector double va0_2 = *(__vector double*) (&a0[i + 4]);
|
|
register __vector double va0_3 = *(__vector double*) (&a0[i + 6]);
|
|
|
|
register __vector double vxr_0 = vec_xxpermdi(vx_0, vx_0, 2);
|
|
register __vector double vxr_1 = vec_xxpermdi(vx_1, vx_1, 2);
|
|
|
|
i += 8;
|
|
|
|
vtemp0_p += vx_0*va0;
|
|
vtemp0_r += vxr_0*va0;
|
|
|
|
vxr_0 = vec_xxpermdi(vx_2, vx_2, 2);
|
|
vtemp0_p += vx_1*va0_1;
|
|
vtemp0_r += vxr_1*va0_1;
|
|
|
|
vxr_1 = vec_xxpermdi(vx_3, vx_3, 2);
|
|
|
|
vtemp0_p += vx_2*va0_2;
|
|
vtemp0_r += vxr_0*va0_2;
|
|
|
|
vtemp0_p += vx_3*va0_3;
|
|
vtemp0_r += vxr_1*va0_3;
|
|
|
|
}
|
|
|
|
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
|
|
register FLOAT temp_r0 = vtemp0_p[0] - vtemp0_p[1];
|
|
register FLOAT temp_i0 = vtemp0_r[0] + vtemp0_r[1];
|
|
|
|
#else
|
|
register FLOAT temp_r0 = vtemp0_p[0] + vtemp0_p[1];
|
|
register FLOAT temp_i0 = vtemp0_r[0] - vtemp0_r[1];
|
|
|
|
#endif
|
|
|
|
#if !defined(XCONJ)
|
|
|
|
y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
|
|
y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
|
|
|
|
#else
|
|
|
|
y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
|
|
y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
|
|
#endif
|
|
|
|
}
|
|
|
|
#else
|
|
|
|
static void zgemv_kernel_4x1(BLASLONG n, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha_r, FLOAT alpha_i) {
|
|
BLASLONG i;
|
|
FLOAT *a0;
|
|
a0 = ap;
|
|
|
|
FLOAT temp_r0 = 0.0;
|
|
FLOAT temp_i0 = 0.0;
|
|
|
|
for (i = 0; i < 2 * n; i += 2) {
|
|
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
|
|
temp_r0 += a0[i] * x[i] - a0[i + 1] * x[i + 1];
|
|
temp_i0 += a0[i] * x[i + 1] + a0[i + 1] * x[i];
|
|
#else
|
|
temp_r0 += a0[i] * x[i] + a0[i + 1] * x[i + 1];
|
|
temp_i0 += a0[i] * x[i + 1] - a0[i + 1] * x[i];
|
|
#endif
|
|
}
|
|
|
|
#if !defined(XCONJ)
|
|
|
|
y[0] += alpha_r * temp_r0 - alpha_i * temp_i0;
|
|
y[1] += alpha_r * temp_i0 + alpha_i * temp_r0;
|
|
|
|
#else
|
|
|
|
y[0] += alpha_r * temp_r0 + alpha_i * temp_i0;
|
|
y[1] -= alpha_r * temp_i0 - alpha_i * temp_r0;
|
|
|
|
#endif
|
|
|
|
}
|
|
|
|
#endif
|
|
|
|
static __attribute__((always_inline)) inline void copy_x(BLASLONG n, FLOAT *src, FLOAT *dest, BLASLONG inc_src) {
|
|
BLASLONG i;
|
|
for (i = 0; i < n; i++) {
|
|
*dest = *src;
|
|
*(dest + 1) = *(src + 1);
|
|
dest += 2;
|
|
src += inc_src;
|
|
}
|
|
}
|
|
|
|
int CNAME(BLASLONG m, BLASLONG n, BLASLONG dummy1, FLOAT alpha_r, FLOAT alpha_i, FLOAT *a, BLASLONG lda, FLOAT *x, BLASLONG inc_x, FLOAT *y, BLASLONG inc_y, FLOAT *buffer) {
|
|
BLASLONG i;
|
|
BLASLONG j;
|
|
FLOAT *a_ptr;
|
|
FLOAT *x_ptr;
|
|
FLOAT *y_ptr;
|
|
|
|
BLASLONG n1;
|
|
BLASLONG m1;
|
|
BLASLONG m2;
|
|
BLASLONG m3;
|
|
BLASLONG n2;
|
|
FLOAT ybuffer[8] __attribute__((aligned(16)));
|
|
FLOAT *xbuffer;
|
|
|
|
if (m < 1) return (0);
|
|
if (n < 1) return (0);
|
|
|
|
inc_x <<= 1;
|
|
inc_y <<= 1;
|
|
lda <<= 1;
|
|
|
|
xbuffer = buffer;
|
|
|
|
n1 = n >> 2;
|
|
n2 = n & 3;
|
|
|
|
m3 = m & 3;
|
|
m1 = m - m3;
|
|
m2 = (m & (NBMAX - 1)) - m3;
|
|
|
|
BLASLONG NB = NBMAX;
|
|
|
|
while (NB == NBMAX) {
|
|
|
|
m1 -= NB;
|
|
if (m1 < 0) {
|
|
if (m2 == 0) break;
|
|
NB = m2;
|
|
}
|
|
|
|
y_ptr = y;
|
|
a_ptr = a;
|
|
x_ptr = x;
|
|
|
|
if (inc_x != 2)
|
|
copy_x(NB, x_ptr, xbuffer, inc_x);
|
|
else
|
|
xbuffer = x_ptr;
|
|
|
|
if (inc_y == 2) {
|
|
|
|
for (i = 0; i < n1; i++) {
|
|
zgemv_kernel_4x4(NB, lda, a_ptr, xbuffer, y_ptr, alpha_r, alpha_i);
|
|
a_ptr += lda << 2;
|
|
y_ptr += 8;
|
|
|
|
}
|
|
|
|
if (n2 & 2) {
|
|
zgemv_kernel_4x2(NB, lda, a_ptr, xbuffer, y_ptr, alpha_r, alpha_i);
|
|
a_ptr += lda << 1;
|
|
y_ptr += 4;
|
|
|
|
}
|
|
|
|
if (n2 & 1) {
|
|
zgemv_kernel_4x1(NB, a_ptr, xbuffer, y_ptr, alpha_r, alpha_i);
|
|
a_ptr += lda;
|
|
y_ptr += 2;
|
|
|
|
}
|
|
|
|
} else {
|
|
|
|
for (i = 0; i < n1; i++) {
|
|
memset(ybuffer, 0, sizeof (ybuffer));
|
|
zgemv_kernel_4x4(NB, lda, a_ptr, xbuffer, ybuffer, alpha_r, alpha_i);
|
|
|
|
a_ptr += lda << 2;
|
|
|
|
y_ptr[0] += ybuffer[0];
|
|
y_ptr[1] += ybuffer[1];
|
|
y_ptr += inc_y;
|
|
y_ptr[0] += ybuffer[2];
|
|
y_ptr[1] += ybuffer[3];
|
|
y_ptr += inc_y;
|
|
y_ptr[0] += ybuffer[4];
|
|
y_ptr[1] += ybuffer[5];
|
|
y_ptr += inc_y;
|
|
y_ptr[0] += ybuffer[6];
|
|
y_ptr[1] += ybuffer[7];
|
|
y_ptr += inc_y;
|
|
|
|
}
|
|
|
|
for (i = 0; i < n2; i++) {
|
|
memset(ybuffer, 0, sizeof (ybuffer));
|
|
zgemv_kernel_4x1(NB, a_ptr, xbuffer, ybuffer, alpha_r, alpha_i);
|
|
a_ptr += lda;
|
|
y_ptr[0] += ybuffer[0];
|
|
y_ptr[1] += ybuffer[1];
|
|
y_ptr += inc_y;
|
|
|
|
}
|
|
|
|
}
|
|
a += 2 * NB;
|
|
x += NB * inc_x;
|
|
}
|
|
|
|
if (m3 == 0) return (0);
|
|
|
|
x_ptr = x;
|
|
j = 0;
|
|
a_ptr = a;
|
|
y_ptr = y;
|
|
|
|
if (m3 == 3) {
|
|
|
|
FLOAT temp_r;
|
|
FLOAT temp_i;
|
|
FLOAT x0 = x_ptr[0];
|
|
FLOAT x1 = x_ptr[1];
|
|
x_ptr += inc_x;
|
|
FLOAT x2 = x_ptr[0];
|
|
FLOAT x3 = x_ptr[1];
|
|
x_ptr += inc_x;
|
|
FLOAT x4 = x_ptr[0];
|
|
FLOAT x5 = x_ptr[1];
|
|
while (j < n) {
|
|
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
|
|
temp_r = a_ptr[0] * x0 - a_ptr[1] * x1;
|
|
temp_i = a_ptr[0] * x1 + a_ptr[1] * x0;
|
|
temp_r += a_ptr[2] * x2 - a_ptr[3] * x3;
|
|
temp_i += a_ptr[2] * x3 + a_ptr[3] * x2;
|
|
temp_r += a_ptr[4] * x4 - a_ptr[5] * x5;
|
|
temp_i += a_ptr[4] * x5 + a_ptr[5] * x4;
|
|
#else
|
|
|
|
temp_r = a_ptr[0] * x0 + a_ptr[1] * x1;
|
|
temp_i = a_ptr[0] * x1 - a_ptr[1] * x0;
|
|
temp_r += a_ptr[2] * x2 + a_ptr[3] * x3;
|
|
temp_i += a_ptr[2] * x3 - a_ptr[3] * x2;
|
|
temp_r += a_ptr[4] * x4 + a_ptr[5] * x5;
|
|
temp_i += a_ptr[4] * x5 - a_ptr[5] * x4;
|
|
#endif
|
|
|
|
#if !defined(XCONJ)
|
|
y_ptr[0] += alpha_r * temp_r - alpha_i * temp_i;
|
|
y_ptr[1] += alpha_r * temp_i + alpha_i * temp_r;
|
|
#else
|
|
y_ptr[0] += alpha_r * temp_r + alpha_i * temp_i;
|
|
y_ptr[1] -= alpha_r * temp_i - alpha_i * temp_r;
|
|
#endif
|
|
|
|
a_ptr += lda;
|
|
y_ptr += inc_y;
|
|
j++;
|
|
}
|
|
return (0);
|
|
}
|
|
|
|
if (m3 == 2) {
|
|
|
|
FLOAT temp_r;
|
|
FLOAT temp_i;
|
|
FLOAT temp_r1;
|
|
FLOAT temp_i1;
|
|
FLOAT x0 = x_ptr[0];
|
|
FLOAT x1 = x_ptr[1];
|
|
x_ptr += inc_x;
|
|
FLOAT x2 = x_ptr[0];
|
|
FLOAT x3 = x_ptr[1];
|
|
|
|
while (j < (n & -2)) {
|
|
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
|
|
temp_r = a_ptr[0] * x0 - a_ptr[1] * x1;
|
|
temp_i = a_ptr[0] * x1 + a_ptr[1] * x0;
|
|
temp_r += a_ptr[2] * x2 - a_ptr[3] * x3;
|
|
temp_i += a_ptr[2] * x3 + a_ptr[3] * x2;
|
|
a_ptr += lda;
|
|
temp_r1 = a_ptr[0] * x0 - a_ptr[1] * x1;
|
|
temp_i1 = a_ptr[0] * x1 + a_ptr[1] * x0;
|
|
temp_r1 += a_ptr[2] * x2 - a_ptr[3] * x3;
|
|
temp_i1 += a_ptr[2] * x3 + a_ptr[3] * x2;
|
|
#else
|
|
|
|
temp_r = a_ptr[0] * x0 + a_ptr[1] * x1;
|
|
temp_i = a_ptr[0] * x1 - a_ptr[1] * x0;
|
|
temp_r += a_ptr[2] * x2 + a_ptr[3] * x3;
|
|
temp_i += a_ptr[2] * x3 - a_ptr[3] * x2;
|
|
a_ptr += lda;
|
|
temp_r1 = a_ptr[0] * x0 + a_ptr[1] * x1;
|
|
temp_i1 = a_ptr[0] * x1 - a_ptr[1] * x0;
|
|
temp_r1 += a_ptr[2] * x2 + a_ptr[3] * x3;
|
|
temp_i1 += a_ptr[2] * x3 - a_ptr[3] * x2;
|
|
#endif
|
|
|
|
#if !defined(XCONJ)
|
|
y_ptr[0] += alpha_r * temp_r - alpha_i * temp_i;
|
|
y_ptr[1] += alpha_r * temp_i + alpha_i * temp_r;
|
|
y_ptr += inc_y;
|
|
y_ptr[0] += alpha_r * temp_r1 - alpha_i * temp_i1;
|
|
y_ptr[1] += alpha_r * temp_i1 + alpha_i * temp_r1;
|
|
#else
|
|
y_ptr[0] += alpha_r * temp_r + alpha_i * temp_i;
|
|
y_ptr[1] -= alpha_r * temp_i - alpha_i * temp_r;
|
|
y_ptr += inc_y;
|
|
y_ptr[0] += alpha_r * temp_r1 + alpha_i * temp_i1;
|
|
y_ptr[1] -= alpha_r * temp_i1 - alpha_i * temp_r1;
|
|
#endif
|
|
|
|
a_ptr += lda;
|
|
y_ptr += inc_y;
|
|
j += 2;
|
|
}
|
|
|
|
while (j < n) {
|
|
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
|
|
temp_r = a_ptr[0] * x0 - a_ptr[1] * x1;
|
|
temp_i = a_ptr[0] * x1 + a_ptr[1] * x0;
|
|
temp_r += a_ptr[2] * x2 - a_ptr[3] * x3;
|
|
temp_i += a_ptr[2] * x3 + a_ptr[3] * x2;
|
|
#else
|
|
|
|
temp_r = a_ptr[0] * x0 + a_ptr[1] * x1;
|
|
temp_i = a_ptr[0] * x1 - a_ptr[1] * x0;
|
|
temp_r += a_ptr[2] * x2 + a_ptr[3] * x3;
|
|
temp_i += a_ptr[2] * x3 - a_ptr[3] * x2;
|
|
#endif
|
|
|
|
#if !defined(XCONJ)
|
|
y_ptr[0] += alpha_r * temp_r - alpha_i * temp_i;
|
|
y_ptr[1] += alpha_r * temp_i + alpha_i * temp_r;
|
|
#else
|
|
y_ptr[0] += alpha_r * temp_r + alpha_i * temp_i;
|
|
y_ptr[1] -= alpha_r * temp_i - alpha_i * temp_r;
|
|
#endif
|
|
|
|
a_ptr += lda;
|
|
y_ptr += inc_y;
|
|
j++;
|
|
}
|
|
|
|
return (0);
|
|
}
|
|
|
|
if (m3 == 1) {
|
|
|
|
FLOAT temp_r;
|
|
FLOAT temp_i;
|
|
FLOAT temp_r1;
|
|
FLOAT temp_i1;
|
|
FLOAT x0 = x_ptr[0];
|
|
FLOAT x1 = x_ptr[1];
|
|
|
|
while (j < (n & -2)) {
|
|
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
|
|
temp_r = a_ptr[0] * x0 - a_ptr[1] * x1;
|
|
temp_i = a_ptr[0] * x1 + a_ptr[1] * x0;
|
|
a_ptr += lda;
|
|
temp_r1 = a_ptr[0] * x0 - a_ptr[1] * x1;
|
|
temp_i1 = a_ptr[0] * x1 + a_ptr[1] * x0;
|
|
#else
|
|
|
|
temp_r = a_ptr[0] * x0 + a_ptr[1] * x1;
|
|
temp_i = a_ptr[0] * x1 - a_ptr[1] * x0;
|
|
a_ptr += lda;
|
|
temp_r1 = a_ptr[0] * x0 + a_ptr[1] * x1;
|
|
temp_i1 = a_ptr[0] * x1 - a_ptr[1] * x0;
|
|
#endif
|
|
|
|
#if !defined(XCONJ)
|
|
y_ptr[0] += alpha_r * temp_r - alpha_i * temp_i;
|
|
y_ptr[1] += alpha_r * temp_i + alpha_i * temp_r;
|
|
y_ptr += inc_y;
|
|
y_ptr[0] += alpha_r * temp_r1 - alpha_i * temp_i1;
|
|
y_ptr[1] += alpha_r * temp_i1 + alpha_i * temp_r1;
|
|
#else
|
|
y_ptr[0] += alpha_r * temp_r + alpha_i * temp_i;
|
|
y_ptr[1] -= alpha_r * temp_i - alpha_i * temp_r;
|
|
y_ptr += inc_y;
|
|
y_ptr[0] += alpha_r * temp_r1 + alpha_i * temp_i1;
|
|
y_ptr[1] -= alpha_r * temp_i1 - alpha_i * temp_r1;
|
|
#endif
|
|
|
|
a_ptr += lda;
|
|
y_ptr += inc_y;
|
|
j += 2;
|
|
}
|
|
|
|
while (j < n) {
|
|
#if ( !defined(CONJ) && !defined(XCONJ) ) || ( defined(CONJ) && defined(XCONJ) )
|
|
temp_r = a_ptr[0] * x0 - a_ptr[1] * x1;
|
|
temp_i = a_ptr[0] * x1 + a_ptr[1] * x0;
|
|
#else
|
|
|
|
temp_r = a_ptr[0] * x0 + a_ptr[1] * x1;
|
|
temp_i = a_ptr[0] * x1 - a_ptr[1] * x0;
|
|
#endif
|
|
|
|
#if !defined(XCONJ)
|
|
y_ptr[0] += alpha_r * temp_r - alpha_i * temp_i;
|
|
y_ptr[1] += alpha_r * temp_i + alpha_i * temp_r;
|
|
#else
|
|
y_ptr[0] += alpha_r * temp_r + alpha_i * temp_i;
|
|
y_ptr[1] -= alpha_r * temp_i - alpha_i * temp_r;
|
|
#endif
|
|
|
|
a_ptr += lda;
|
|
y_ptr += inc_y;
|
|
j++;
|
|
}
|
|
return (0);
|
|
}
|
|
|
|
return (0);
|
|
|
|
}
|
|
|