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- /***************************************************************************
- Copyright (c) 2018, The OpenBLAS Project
- All rights reserved.
- Redistribution and use in source and binary forms, with or without
- modification, are permitted provided that the following conditions are
- met:
- 1. Redistributions of source code must retain the above copyright
- notice, this list of conditions and the following disclaimer.
- 2. Redistributions in binary form must reproduce the above copyright
- notice, this list of conditions and the following disclaimer in
- the documentation and/or other materials provided with the
- distribution.
- 3. Neither the name of the OpenBLAS project nor the names of
- its contributors may be used to endorse or promote products
- derived from this software without specific prior written permission.
- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
- AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- ARE DISCLAIMED. IN NO EVENT SHALL THE OPENBLAS PROJECT OR CONTRIBUTORS BE
- LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
- SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
- CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
- OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
- USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- *****************************************************************************/
-
- #include "common.h"
-
- #define NBMAX 1024
- //#define PREFETCH 1
- #include <altivec.h>
-
- #define HAVE_KERNEL4x8_ASM 1
-
-
- #if defined(HAVE_KERNEL4x8_ASM)
- #if !__has_builtin(__builtin_vsx_disassemble_pair)
- #define __builtin_vsx_disassemble_pair __builtin_mma_disassemble_pair
- #endif
- typedef __vector unsigned char vec_t;
- static void dgemv_kernel_4x8(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha) {
- BLASLONG i;
- FLOAT *a0, *a1, *a2, *a3, *a4, *a5, *a6, *a7;
- __vector_pair vx, vp;
- vec_t res[2],res1[2];
- register __vector double temp0 = {0, 0};
- register __vector double temp1 = {0, 0};
- register __vector double temp2 = {0, 0};
- register __vector double temp3 = {0, 0};
- register __vector double temp4 = {0, 0};
- register __vector double temp5 = {0, 0};
- register __vector double temp6 = {0, 0};
- register __vector double temp7 = {0, 0};
- a0 = ap;
- a1 = ap + lda;
- a2 = a1 + lda;
- a3 = a2 + lda;
- a4 = a3 + lda;
- a5 = a4 + lda;
- a6 = a5 + lda;
- a7 = a6 + lda;
- for (i = 0; i < n/2; i += 2) {
- vp = *((__vector_pair *)((void *)&a0[i*2]));
- vx = *((__vector_pair *)((void *)&x[i*2]));
- __builtin_vsx_disassemble_pair (res, &vx);
- __builtin_vsx_disassemble_pair (res1, &vp);
- temp0 = vec_madd ((__vector double)res[0], (__vector double)res1[0], temp0);
- temp0 = vec_madd ((__vector double)res[1], (__vector double)res1[1], temp0);
- vp = *((__vector_pair *)((void *)&a1[i*2]));
- __builtin_vsx_disassemble_pair (res1, &vp);
- temp1 = vec_madd ((__vector double)res[0], (__vector double)res1[0], temp1);
- temp1 = vec_madd ((__vector double)res[1], (__vector double)res1[1], temp1);
- vp = *((__vector_pair *)((void *)&a2[i*2]));
- __builtin_vsx_disassemble_pair (res1, &vp);
- temp2 = vec_madd ((__vector double)res[0], (__vector double)res1[0], temp2);
- temp2 = vec_madd ((__vector double)res[1], (__vector double)res1[1], temp2);
- vp = *((__vector_pair *)((void *)&a3[i*2]));
- __builtin_vsx_disassemble_pair (res1, &vp);
- temp3 = vec_madd ((__vector double)res[0], (__vector double)res1[0], temp3);
- temp3 = vec_madd ((__vector double)res[1], (__vector double)res1[1], temp3);
- vp = *((__vector_pair *)((void *)&a4[i*2]));
- __builtin_vsx_disassemble_pair (res1, &vp);
- temp4 = vec_madd ((__vector double)res[0], (__vector double)res1[0], temp4);
- temp4 = vec_madd ((__vector double)res[1], (__vector double)res1[1], temp4);
- vp = *((__vector_pair *)((void *)&a5[i*2]));
- __builtin_vsx_disassemble_pair (res1, &vp);
- temp5 = vec_madd ((__vector double)res[0], (__vector double)res1[0], temp5);
- temp5 = vec_madd ((__vector double)res[1], (__vector double)res1[1], temp5);
- vp = *((__vector_pair *)((void *)&a6[i*2]));
- __builtin_vsx_disassemble_pair (res1, &vp);
- temp6 = vec_madd ((__vector double)res[0], (__vector double)res1[0], temp6);
- temp6 = vec_madd ((__vector double)res[1], (__vector double)res1[1], temp6);
- vp = *((__vector_pair *)((void *)&a7[i*2]));
- __builtin_vsx_disassemble_pair (res1, &vp);
- temp7 = vec_madd ((__vector double)res[0], (__vector double)res1[0], temp7);
- temp7 = vec_madd ((__vector double)res[1], (__vector double)res1[1], temp7);
- }
- y[0] += alpha * (temp0[0] + temp0[1]);
- y[1] += alpha * (temp1[0] + temp1[1]);
- y[2] += alpha * (temp2[0] + temp2[1]);
- y[3] += alpha * (temp3[0] + temp3[1]);
- y[4] += alpha * (temp4[0] + temp4[1]);
- y[5] += alpha * (temp5[0] + temp5[1]);
- y[6] += alpha * (temp6[0] + temp6[1]);
- y[7] += alpha * (temp7[0] + temp7[1]);
- }
- #else
- static void dgemv_kernel_4x8(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha) {
- BLASLONG i;
- #if defined(PREFETCH)
- BLASLONG j, c, k;
- #endif
- FLOAT *a0, *a1, *a2, *a3, *a4, *a5, *a6, *a7;
- __vector double *va0, *va1, *va2, *va3, *va4, *va5, *va6, *va7, *v_x;
- register __vector double temp0 = {0, 0};
- register __vector double temp1 = {0, 0};
- register __vector double temp2 = {0, 0};
- register __vector double temp3 = {0, 0};
- register __vector double temp4 = {0, 0};
- register __vector double temp5 = {0, 0};
- register __vector double temp6 = {0, 0};
- register __vector double temp7 = {0, 0};
-
- a0 = ap;
- a1 = ap + lda;
- a2 = a1 + lda;
- a3 = a2 + lda;
- a4 = a3 + lda;
- a5 = a4 + lda;
- a6 = a5 + lda;
- a7 = a6 + lda;
- va0 = (__vector double*) a0;
- va1 = (__vector double*) a1;
- va2 = (__vector double*) a2;
- va3 = (__vector double*) a3;
- va4 = (__vector double*) a4;
- va5 = (__vector double*) a5;
- va6 = (__vector double*) a6;
- va7 = (__vector double*) a7;
- v_x = (__vector double*) x;
-
- #if defined(PREFETCH)
-
- c = n >> 1;
-
- for (j = 0; j < c; j += 64) {
- k = (c - j) > 64 ? 64 : (c - j);
- __builtin_prefetch(v_x + 64);
- __builtin_prefetch(va0 + 64);
- __builtin_prefetch(va1 + 64);
- __builtin_prefetch(va2 + 64);
- __builtin_prefetch(va3 + 64);
- __builtin_prefetch(va4 + 64);
- __builtin_prefetch(va5 + 64);
- __builtin_prefetch(va6 + 64);
- __builtin_prefetch(va7 + 64);
- for (i = 0; i < k; i += 2) {
- #else
-
- for (i = 0; i < n/2; i += 2) {
- #endif
- temp0 += v_x[i] * va0[i];
- temp1 += v_x[i] * va1[i];
- temp2 += v_x[i] * va2[i];
- temp3 += v_x[i] * va3[i];
- temp4 += v_x[i] * va4[i];
- temp5 += v_x[i] * va5[i];
- temp6 += v_x[i] * va6[i];
- temp7 += v_x[i] * va7[i];
- temp0 += v_x[i + 1] * va0[i + 1];
- temp1 += v_x[i + 1] * va1[i + 1];
- temp2 += v_x[i + 1] * va2[i + 1];
- temp3 += v_x[i + 1] * va3[i + 1];
-
- temp4 += v_x[i + 1] * va4[i + 1];
- temp5 += v_x[i + 1] * va5[i + 1];
- temp6 += v_x[i + 1] * va6[i + 1];
- temp7 += v_x[i + 1] * va7[i + 1];
- }
- #if defined(PREFETCH)
- va0 += 64;
- va1 += 64;
- va2 += 64;
- va3 += 64;
- va4 += 64;
- va5 += 64;
- va6 += 64;
- va7 += 64;
- v_x += 64;
-
- }
- #endif
- y[0] += alpha * (temp0[0] + temp0[1]);
- y[1] += alpha * (temp1[0] + temp1[1]);
- y[2] += alpha * (temp2[0] + temp2[1]);
- y[3] += alpha * (temp3[0] + temp3[1]);
-
- y[4] += alpha * (temp4[0] + temp4[1]);
- y[5] += alpha * (temp5[0] + temp5[1]);
- y[6] += alpha * (temp6[0] + temp6[1]);
- y[7] += alpha * (temp7[0] + temp7[1]);
-
- }
-
- #endif
-
-
- static void dgemv_kernel_4x4(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha) {
- BLASLONG i = 0;
- FLOAT *a0, *a1, *a2, *a3;
- a0 = ap;
- a1 = ap + lda;
- a2 = a1 + lda;
- a3 = a2 + lda;
- __vector double* va0 = (__vector double*) a0;
- __vector double* va1 = (__vector double*) a1;
- __vector double* va2 = (__vector double*) a2;
- __vector double* va3 = (__vector double*) a3;
- __vector double* v_x = (__vector double*) x;
- register __vector double temp0 = {0, 0};
- register __vector double temp1 = {0, 0};
- register __vector double temp2 = {0, 0};
- register __vector double temp3 = {0, 0};
- register __vector double temp4 = {0, 0};
- register __vector double temp5 = {0, 0};
- register __vector double temp6 = {0, 0};
- register __vector double temp7 = {0, 0};
-
- for (i = 0; i < n / 2; i += 2) {
- temp0 += v_x[i] * va0[i];
- temp1 += v_x[i] * va1[i];
- temp2 += v_x[i] * va2[i];
- temp3 += v_x[i] * va3[i];
- temp4 += v_x[i + 1] * va0[i + 1];
- temp5 += v_x[i + 1] * va1[i + 1];
- temp6 += v_x[i + 1] * va2[i + 1];
- temp7 += v_x[i + 1] * va3[i + 1];
- }
-
- temp0 += temp4;
- temp1 += temp5;
- temp2 += temp6;
- temp3 += temp7;
- y[0] += alpha * (temp0[0] + temp0[1]);
- y[1] += alpha * (temp1[0] + temp1[1]);
- y[2] += alpha * (temp2[0] + temp2[1]);
- y[3] += alpha * (temp3[0] + temp3[1]);
-
- }
-
-
- static void dgemv_kernel_4x2(BLASLONG n, BLASLONG lda, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha, BLASLONG inc_y) {
-
- BLASLONG i;
- FLOAT *a0, *a1;
- a0 = ap;
- a1 = ap + lda;
- __vector double* va0 = (__vector double*) a0;
- __vector double* va1 = (__vector double*) a1;
- __vector double* v_x = (__vector double*) x;
- __vector double temp0 = {0, 0};
- __vector double temp1 = {0, 0};
- for (i = 0; i < n / 2; i += 2) {
- temp0 += v_x[i] * va0[i] + v_x[i + 1] * va0[i + 1];
- temp1 += v_x[i] * va1[i] + v_x[i + 1] * va1[i + 1];
- }
-
-
-
- y[0] += alpha * (temp0[0] + temp0[1]);
- y[inc_y] += alpha * (temp1[0] + temp1[1]);
- }
-
- static void dgemv_kernel_4x1(BLASLONG n, FLOAT *ap, FLOAT *x, FLOAT *y, FLOAT alpha) {
-
- BLASLONG i;
- FLOAT *a0;
- a0 = ap;
- __vector double* va0 = (__vector double*) a0;
- __vector double* v_x = (__vector double*) x;
- __vector double temp0 = {0, 0};
- for (i = 0; i < n / 2; i += 2) {
- temp0 += v_x[i] * va0[i] + v_x[i + 1] * va0[i + 1];
- }
-
- *y += alpha * (temp0[0] + temp0[1]);
-
- }
-
- static void copy_x(BLASLONG n, FLOAT *src, FLOAT *dest, BLASLONG inc_src) {
- BLASLONG i;
- for (i = 0; i < n; i++) {
- *dest++ = *src;
- src += inc_src;
- }
- }
-
- int CNAME(BLASLONG m, BLASLONG n, BLASLONG dummy1, FLOAT alpha, 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);
-
- xbuffer = buffer;
-
- n1 = n >> 3;
- n2 = n & 7;
-
- 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 != 1)
- copy_x(NB, x_ptr, xbuffer, inc_x);
- else
- xbuffer = x_ptr;
-
- BLASLONG lda8 = lda << 3;
-
-
- if (inc_y == 1) {
-
- for (i = 0; i < n1; i++) {
-
- dgemv_kernel_4x8(NB, lda, a_ptr, xbuffer, y_ptr, alpha);
-
- y_ptr += 8;
- a_ptr += lda8;
- #if defined(PREFETCH)
- __builtin_prefetch(y_ptr+64);
- #endif
- }
-
- } else {
-
- for (i = 0; i < n1; i++) {
- ybuffer[0] = 0;
- ybuffer[1] = 0;
- ybuffer[2] = 0;
- ybuffer[3] = 0;
- ybuffer[4] = 0;
- ybuffer[5] = 0;
- ybuffer[6] = 0;
- ybuffer[7] = 0;
- dgemv_kernel_4x8(NB, lda, a_ptr, xbuffer, ybuffer, alpha);
-
-
-
- *y_ptr += ybuffer[0];
- y_ptr += inc_y;
- *y_ptr += ybuffer[1];
- y_ptr += inc_y;
- *y_ptr += ybuffer[2];
- y_ptr += inc_y;
- *y_ptr += ybuffer[3];
- y_ptr += inc_y;
-
- *y_ptr += ybuffer[4];
- y_ptr += inc_y;
- *y_ptr += ybuffer[5];
- y_ptr += inc_y;
- *y_ptr += ybuffer[6];
- y_ptr += inc_y;
- *y_ptr += ybuffer[7];
- y_ptr += inc_y;
-
- a_ptr += lda8;
- }
-
- }
-
-
- if (n2 & 4) {
- ybuffer[0] = 0;
- ybuffer[1] = 0;
- ybuffer[2] = 0;
- ybuffer[3] = 0;
- dgemv_kernel_4x4(NB, lda, a_ptr, xbuffer, ybuffer, alpha);
-
- a_ptr += lda<<2;
-
- *y_ptr += ybuffer[0];
- y_ptr += inc_y;
- *y_ptr += ybuffer[1];
- y_ptr += inc_y;
- *y_ptr += ybuffer[2];
- y_ptr += inc_y;
- *y_ptr += ybuffer[3];
- y_ptr += inc_y;
- }
-
- if (n2 & 2) {
- dgemv_kernel_4x2(NB, lda, a_ptr, xbuffer, y_ptr, alpha, inc_y);
- a_ptr += lda << 1;
- y_ptr += 2 * inc_y;
-
- }
-
- if (n2 & 1) {
- dgemv_kernel_4x1(NB, a_ptr, xbuffer, y_ptr, alpha);
- a_ptr += lda;
- y_ptr += inc_y;
-
- }
-
- a += NB;
- x += NB * inc_x;
-
-
- }
-
- if (m3 == 0) return (0);
-
- x_ptr = x;
- a_ptr = a;
- if (m3 == 3) {
- FLOAT xtemp0 = *x_ptr * alpha;
- x_ptr += inc_x;
- FLOAT xtemp1 = *x_ptr * alpha;
- x_ptr += inc_x;
- FLOAT xtemp2 = *x_ptr * alpha;
-
- FLOAT *aj = a_ptr;
- y_ptr = y;
-
- if (lda == 3 && inc_y == 1) {
-
- for (j = 0; j < (n & -4); j += 4) {
-
- y_ptr[j] += aj[0] * xtemp0 + aj[1] * xtemp1 + aj[2] * xtemp2;
- y_ptr[j + 1] += aj[3] * xtemp0 + aj[4] * xtemp1 + aj[5] * xtemp2;
- y_ptr[j + 2] += aj[6] * xtemp0 + aj[7] * xtemp1 + aj[8] * xtemp2;
- y_ptr[j + 3] += aj[9] * xtemp0 + aj[10] * xtemp1 + aj[11] * xtemp2;
- aj += 12;
- }
-
- for (; j < n; j++) {
- y_ptr[j] += aj[0] * xtemp0 + aj[1] * xtemp1 + aj[2] * xtemp2;
- aj += 3;
- }
-
- } else {
-
- if (inc_y == 1) {
-
- BLASLONG register lda2 = lda << 1;
- BLASLONG register lda4 = lda << 2;
- BLASLONG register lda3 = lda2 + lda;
-
- for (j = 0; j < (n & -4); j += 4) {
-
- y_ptr[j] += *aj * xtemp0 + *(aj + 1) * xtemp1 + *(aj + 2) * xtemp2;
- y_ptr[j + 1] += *(aj + lda) * xtemp0 + *(aj + lda + 1) * xtemp1 + *(aj + lda + 2) * xtemp2;
- y_ptr[j + 2] += *(aj + lda2) * xtemp0 + *(aj + lda2 + 1) * xtemp1 + *(aj + lda2 + 2) * xtemp2;
- y_ptr[j + 3] += *(aj + lda3) * xtemp0 + *(aj + lda3 + 1) * xtemp1 + *(aj + lda3 + 2) * xtemp2;
- aj += lda4;
- }
-
- for (; j < n; j++) {
-
- y_ptr[j] += *aj * xtemp0 + *(aj + 1) * xtemp1 + *(aj + 2) * xtemp2;
- aj += lda;
- }
-
- } else {
-
- for (j = 0; j < n; j++) {
- *y_ptr += *aj * xtemp0 + *(aj + 1) * xtemp1 + *(aj + 2) * xtemp2;
- y_ptr += inc_y;
- aj += lda;
- }
-
- }
-
- }
- return (0);
- }
-
- if (m3 == 2) {
- FLOAT xtemp0 = *x_ptr * alpha;
- x_ptr += inc_x;
- FLOAT xtemp1 = *x_ptr * alpha;
-
- FLOAT *aj = a_ptr;
- y_ptr = y;
-
- if (lda == 2 && inc_y == 1) {
-
- for (j = 0; j < (n & -4); j += 4) {
- y_ptr[j] += aj[0] * xtemp0 + aj[1] * xtemp1;
- y_ptr[j + 1] += aj[2] * xtemp0 + aj[3] * xtemp1;
- y_ptr[j + 2] += aj[4] * xtemp0 + aj[5] * xtemp1;
- y_ptr[j + 3] += aj[6] * xtemp0 + aj[7] * xtemp1;
- aj += 8;
-
- }
-
- for (; j < n; j++) {
- y_ptr[j] += aj[0] * xtemp0 + aj[1] * xtemp1;
- aj += 2;
- }
-
- } else {
- if (inc_y == 1) {
-
- BLASLONG register lda2 = lda << 1;
- BLASLONG register lda4 = lda << 2;
- BLASLONG register lda3 = lda2 + lda;
-
- for (j = 0; j < (n & -4); j += 4) {
-
- y_ptr[j] += *aj * xtemp0 + *(aj + 1) * xtemp1;
- y_ptr[j + 1] += *(aj + lda) * xtemp0 + *(aj + lda + 1) * xtemp1;
- y_ptr[j + 2] += *(aj + lda2) * xtemp0 + *(aj + lda2 + 1) * xtemp1;
- y_ptr[j + 3] += *(aj + lda3) * xtemp0 + *(aj + lda3 + 1) * xtemp1;
- aj += lda4;
- }
-
- for (; j < n; j++) {
-
- y_ptr[j] += *aj * xtemp0 + *(aj + 1) * xtemp1;
- aj += lda;
- }
-
- } else {
- for (j = 0; j < n; j++) {
- *y_ptr += *aj * xtemp0 + *(aj + 1) * xtemp1;
- y_ptr += inc_y;
- aj += lda;
- }
- }
-
- }
- return (0);
-
- }
-
- FLOAT xtemp = *x_ptr * alpha;
- FLOAT *aj = a_ptr;
- y_ptr = y;
- if (lda == 1 && inc_y == 1) {
- for (j = 0; j < (n & -4); j += 4) {
- y_ptr[j] += aj[j] * xtemp;
- y_ptr[j + 1] += aj[j + 1] * xtemp;
- y_ptr[j + 2] += aj[j + 2] * xtemp;
- y_ptr[j + 3] += aj[j + 3] * xtemp;
- }
- for (; j < n; j++) {
- y_ptr[j] += aj[j] * xtemp;
- }
-
-
- } else {
- if (inc_y == 1) {
-
- BLASLONG register lda2 = lda << 1;
- BLASLONG register lda4 = lda << 2;
- BLASLONG register lda3 = lda2 + lda;
- for (j = 0; j < (n & -4); j += 4) {
- y_ptr[j] += *aj * xtemp;
- y_ptr[j + 1] += *(aj + lda) * xtemp;
- y_ptr[j + 2] += *(aj + lda2) * xtemp;
- y_ptr[j + 3] += *(aj + lda3) * xtemp;
- aj += lda4;
- }
-
- for (; j < n; j++) {
- y_ptr[j] += *aj * xtemp;
- aj += lda;
- }
-
- } else {
- for (j = 0; j < n; j++) {
- *y_ptr += *aj * xtemp;
- y_ptr += inc_y;
- aj += lda;
- }
-
- }
- }
-
- return (0);
-
- }
-
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