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dgemv optimization for POWER10 

Making use of new vector pair POWER10 instructions in dgemv_n and dgemv_t.
Also adding a new block 4x128 to make use of Matrix-Multiply Assist (MMA)
feature introduced in POWER ISA v3.1.  Tested on simulator and there
are no new test failures.
tags/v0.3.11^2
Rajalakshmi Srinivasaraghavan 5 years ago
parent
cb097beba2
commit
f77b6a83f4
4 changed files with 1675 additions and 2 deletions
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  1. +2
    -2
      kernel/power/KERNEL.POWER10
  2. +268
    -0
      kernel/power/dgemv_n_microk_power10.c
  3. +565
    -0
      kernel/power/dgemv_n_power10.c
  4. +840
    -0
      kernel/power/dgemv_t_power10.c

+ 2
- 2
kernel/power/KERNEL.POWER10 View File

@@ -187,12 +187,12 @@ ZSWAPKERNEL = zswap.c
#

SGEMVNKERNEL = sgemv_n.c
DGEMVNKERNEL = dgemv_n.c
DGEMVNKERNEL = dgemv_n_power10.c
CGEMVNKERNEL = cgemv_n.c
ZGEMVNKERNEL = zgemv_n_4.c
#
SGEMVTKERNEL = sgemv_t.c
DGEMVTKERNEL = dgemv_t.c
DGEMVTKERNEL = dgemv_t_power10.c
CGEMVTKERNEL = cgemv_t.c
ZGEMVTKERNEL = zgemv_t_4.c



+ 268
- 0
kernel/power/dgemv_n_microk_power10.c View File

@@ -0,0 +1,268 @@
/***************************************************************************
Copyright (c) 2013-2016, 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.
*****************************************************************************/

/**************************************************************************************
* 2016/03/30 Werner Saar (wernsaar@googlemail.com)
* BLASTEST : OK
* CTEST : OK
* TEST : OK
* LAPACK-TEST : OK
**************************************************************************************/

#define HAVE_KERNEL_4x4 1

static void dgemv_kernel_4x4 (long n, double *ap, long lda, double *x, double *y, double alpha)
{
double *a0;
double *a1;
double *a2;
double *a3;

__asm__
(
"lxvp 40, 0(%10) \n\t" // x0, x1
XXSPLTD_S(32,%x9,0) // alpha, alpha

"sldi %6, %13, 3 \n\t" // lda * sizeof (double)

"xvmuldp 34, 41, 32 \n\t" // x0 * alpha, x1 * alpha
"xvmuldp 35, 40, 32 \n\t" // x2 * alpha, x3 * alpha

"add %4, %3, %6 \n\t" // a0 = ap, a1 = a0 + lda
"add %6, %6, %6 \n\t" // 2 * lda

XXSPLTD_S(32,34,1) // x0 * alpha, x0 * alpha
XXSPLTD_S(33,34,0) // x1 * alpha, x1 * alpha
XXSPLTD_S(34,35,1) // x2 * alpha, x2 * alpha
XXSPLTD_S(35,35,0) // x3 * alpha, x3 * alpha

"add %5, %3, %6 \n\t" // a2 = a0 + 2 * lda
"add %6, %4, %6 \n\t" // a3 = a1 + 2 * lda

"dcbt 0, %3 \n\t"
"dcbt 0, %4 \n\t"
"dcbt 0, %5 \n\t"
"dcbt 0, %6 \n\t"

"lxvp 40, 0(%3) \n\t" // a0[0], a0[1]

"lxvp 42, 0(%4) \n\t" // a1[0], a1[1]

"lxvp 44, 0(%5) \n\t" // a2[0], a2[1]

"lxvp 46, 0(%6) \n\t" // a3[0], a3[1]

"dcbt 0, %2 \n\t"

"addi %3, %3, 32 \n\t"
"addi %4, %4, 32 \n\t"
"addi %5, %5, 32 \n\t"
"addi %6, %6, 32 \n\t"

"addic. %1, %1, -4 \n\t"
"ble two%= \n\t"

".align 5 \n"
"one%=: \n\t"

"lxvp 36, 0(%2) \n\t" // y0, y1

"xvmaddadp 36, 40, 32 \n\t"
"xvmaddadp 37, 41, 32 \n\t"

"lxvp 40, 0(%3) \n\t" // a0[0], a0[1]

"xvmaddadp 36, 42, 33 \n\t"
"addi %3, %3, 32 \n\t"
"xvmaddadp 37, 43, 33 \n\t"

"lxvp 42, 0(%4) \n\t" // a1[0], a1[1]

"xvmaddadp 36, 44, 34 \n\t"
"addi %4, %4, 32 \n\t"
"xvmaddadp 37, 45, 34 \n\t"

"lxvp 44, 0(%5) \n\t" // a2[0], a2[1]

"xvmaddadp 36, 46, 35 \n\t"
"addi %5, %5, 32 \n\t"
"xvmaddadp 37, 47, 35 \n\t"

"stxvp 36, 0(%2) \n\t" // y0, y1

"lxvp 46, 0(%6) \n\t" // a3[0], a3[1]

"addi %6, %6, 32 \n\t"
"addi %2, %2, 32 \n\t"

"addic. %1, %1, -4 \n\t"
"ble two%= \n\t"


"lxvp 36, 0(%2) \n\t" // y0, y1

"xvmaddadp 36, 40, 32 \n\t"
"xvmaddadp 37, 41, 32 \n\t"

"lxvp 40, 0(%3) \n\t" // a0[0], a0[1]

"xvmaddadp 36, 42, 33 \n\t"
"addi %3, %3, 32 \n\t"
"xvmaddadp 37, 43, 33 \n\t"

"lxvp 42, 0(%4) \n\t" // a1[0], a1[1]

"xvmaddadp 36, 44, 34 \n\t"
"addi %4, %4, 32 \n\t"
"xvmaddadp 37, 45, 34 \n\t"

"lxvp 44, 0(%5) \n\t" // a2[0], a2[1]

"xvmaddadp 36, 46, 35 \n\t"
"addi %5, %5, 32 \n\t"
"xvmaddadp 37, 47, 35 \n\t"

"stxvp 36, 0(%2) \n\t" // y0, y1

"lxvp 46, 0(%6) \n\t" // a3[0], a3[1]

"addi %6, %6, 32 \n\t"
"addi %2, %2, 32 \n\t"

"addic. %1, %1, -4 \n\t"
"ble two%= \n\t"


"lxvp 36, 0(%2) \n\t" // y0, y1

"xvmaddadp 36, 40, 32 \n\t"
"xvmaddadp 37, 41, 32 \n\t"

"lxvp 40, 0(%3) \n\t" // a0[0], a0[1]

"xvmaddadp 36, 42, 33 \n\t"
"addi %3, %3, 32 \n\t"
"xvmaddadp 37, 43, 33 \n\t"

"lxvp 42, 0(%4) \n\t" // a1[0], a1[1]

"xvmaddadp 36, 44, 34 \n\t"
"addi %4, %4, 32 \n\t"
"xvmaddadp 37, 45, 34 \n\t"

"lxvp 44, 0(%5) \n\t" // a2[0], a2[1]

"xvmaddadp 36, 46, 35 \n\t"
"addi %5, %5, 32 \n\t"
"xvmaddadp 37, 47, 35 \n\t"

"stxvp 36, 0(%2) \n\t" // y0, y1

"lxvp 46, 0(%6) \n\t" // a3[0], a3[1]

"addi %6, %6, 32 \n\t"
"addi %2, %2, 32 \n\t"

"addic. %1, %1, -4 \n\t"
"ble two%= \n\t"


"lxvp 36, 0(%2) \n\t" // y0, y1

"xvmaddadp 36, 40, 32 \n\t"
"xvmaddadp 37, 41, 32 \n\t"

"lxvp 40, 0(%3) \n\t" // a0[0], a0[1]

"xvmaddadp 36, 42, 33 \n\t"
"addi %3, %3, 32 \n\t"
"xvmaddadp 37, 43, 33 \n\t"

"lxvp 42, 0(%4) \n\t" // a1[0], a1[1]

"xvmaddadp 36, 44, 34 \n\t"
"addi %4, %4, 32 \n\t"
"xvmaddadp 37, 45, 34 \n\t"

"lxvp 44, 0(%5) \n\t" // a2[0], a2[1]

"xvmaddadp 36, 46, 35 \n\t"
"addi %5, %5, 32 \n\t"
"xvmaddadp 37, 47, 35 \n\t"

"stxvp 36, 0(%2) \n\t" // y0, y1

"lxvp 46, 0(%6) \n\t" // a3[0], a3[1]

"addi %6, %6, 32 \n\t"
"addi %2, %2, 32 \n\t"

"addic. %1, %1, -4 \n\t"
"bgt one%= \n"

"two%=: \n\t"

"lxvp 36, 0(%2) \n\t" // y0, y1

"xvmaddadp 36, 40, 32 \n\t"
"xvmaddadp 37, 41, 32 \n\t"

"xvmaddadp 36, 42, 33 \n\t"
"xvmaddadp 37, 43, 33 \n\t"

"xvmaddadp 36, 44, 34 \n\t"
"xvmaddadp 37, 45, 34 \n\t"

"xvmaddadp 36, 46, 35 \n\t"
"xvmaddadp 37, 47, 35 \n\t"

"stxvp 36, 0(%2) \n\t" // y0, y1

"#n=%1 ap=%8=%12 lda=%13 x=%7=%10 y=%0=%2 alpha=%9 o16=%11\n"
"#a0=%3 a1=%4 a2=%5 a3=%6"
:
"+m" (*y),
"+r" (n), // 1
"+b" (y), // 2
"=b" (a0), // 3
"=b" (a1), // 4
"=&b" (a2), // 5
"=&b" (a3) // 6
:
"m" (*x),
"m" (*ap),
"d" (alpha), // 9
"r" (x), // 10
"b" (16), // 11
"3" (ap), // 12
"4" (lda) // 13
:
"cr0",
"vs32","vs33","vs34","vs35","vs36","vs37",
"vs40","vs41","vs42","vs43","vs44","vs45","vs46","vs47"
);
}

+ 565
- 0
kernel/power/dgemv_n_power10.c View File

@@ -0,0 +1,565 @@
/***************************************************************************
Copyright (c) 2020, 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"
#include <altivec.h>

typedef __vector unsigned char vec_t;
typedef FLOAT v4sf_t __attribute__ ((vector_size (16)));
typedef __vector_pair __attribute__((aligned(8))) vecp_t;

#include "dgemv_n_microk_power10.c"

#define MMA(X, APTR, ACC) \
rX = (vec_t *) & X; \
rowA = *((vecp_t*)((void*)&APTR)); \
__builtin_mma_xvf64gerpp (ACC, rowA, rX[0]);

#define SAVE(ACC, Z) \
rowC = (v4sf_t *) &y[Z]; \
__builtin_mma_disassemble_acc ((void *)result, ACC); \
result[0][1] = result[1][0]; \
result[2][1] = result[3][0]; \
rowC[0] += valpha * result[0]; \
rowC[1] += valpha * result[2];

void
dgemv_kernel_4x128 (BLASLONG n, FLOAT * a_ptr, BLASLONG lda, FLOAT * xo,
FLOAT * y, FLOAT alpha)
{
BLASLONG i, j, tmp;
FLOAT *a0 = a_ptr;
FLOAT *x1 = xo;
vector double valpha = { alpha, alpha };
v4sf_t *rowC;
__vector_quad acc0, acc1, acc2, acc3, acc4, acc5, acc6, acc7;
v4sf_t result[4];
vecp_t rowA;
vec_t *rX;
tmp = (n / 32) * 32;
for (i = 0; i < tmp; i += 32)
{
xo = x1;
a0 = a_ptr;
__builtin_mma_xxsetaccz (&acc0);
__builtin_mma_xxsetaccz (&acc1);
__builtin_mma_xxsetaccz (&acc2);
__builtin_mma_xxsetaccz (&acc3);
__builtin_mma_xxsetaccz (&acc4);
__builtin_mma_xxsetaccz (&acc5);
__builtin_mma_xxsetaccz (&acc6);
__builtin_mma_xxsetaccz (&acc7);
for (j = 0; j < 32; j++)
{
__builtin_prefetch (xo+j);
__builtin_prefetch (a0+i+j+lda);
MMA (xo[j], a0[i + 0 + j * lda], &acc0);
MMA (xo[j], a0[i + 4 + j * lda], &acc1);
MMA (xo[j], a0[i + 8 + j * lda], &acc2);
MMA (xo[j], a0[i + 12 + j * lda], &acc3);
MMA (xo[j], a0[i + 16 + j * lda], &acc4);
MMA (xo[j], a0[i + 20 + j * lda], &acc5);
MMA (xo[j], a0[i + 24 + j * lda], &acc6);
MMA (xo[j], a0[i + 28 + j * lda], &acc7);
}
xo += 32;
a0 += lda << 5;
for (j = 0; j < 32; j++)
{
__builtin_prefetch (xo+j);
__builtin_prefetch (a0+i+j+lda);
MMA (xo[j], a0[i + 0 + j * lda], &acc0);
MMA (xo[j], a0[i + 4 + j * lda], &acc1);
MMA (xo[j], a0[i + 8 + j * lda], &acc2);
MMA (xo[j], a0[i + 12 + j * lda], &acc3);
MMA (xo[j], a0[i + 16 + j * lda], &acc4);
MMA (xo[j], a0[i + 20 + j * lda], &acc5);
MMA (xo[j], a0[i + 24 + j * lda], &acc6);
MMA (xo[j], a0[i + 28 + j * lda], &acc7);
}
xo += 32;
a0 += lda << 5;
for (j = 0; j < 32; j++)
{
__builtin_prefetch (xo+j);
__builtin_prefetch (a0+i+j+lda);
MMA (xo[j], a0[i + 0 + j * lda], &acc0);
MMA (xo[j], a0[i + 4 + j * lda], &acc1);
MMA (xo[j], a0[i + 8 + j * lda], &acc2);
MMA (xo[j], a0[i + 12 + j * lda], &acc3);
MMA (xo[j], a0[i + 16 + j * lda], &acc4);
MMA (xo[j], a0[i + 20 + j * lda], &acc5);
MMA (xo[j], a0[i + 24 + j * lda], &acc6);
MMA (xo[j], a0[i + 28 + j * lda], &acc7);
}
xo += 32;
a0 += lda << 5;
for (j = 0; j < 32; j++)
{
__builtin_prefetch (xo+j);
__builtin_prefetch (a0+i+j+lda);
MMA (xo[j], a0[i + 0 + j * lda], &acc0);
MMA (xo[j], a0[i + 4 + j * lda], &acc1);
MMA (xo[j], a0[i + 8 + j * lda], &acc2);
MMA (xo[j], a0[i + 12 + j * lda], &acc3);
MMA (xo[j], a0[i + 16 + j * lda], &acc4);
MMA (xo[j], a0[i + 20 + j * lda], &acc5);
MMA (xo[j], a0[i + 24 + j * lda], &acc6);
MMA (xo[j], a0[i + 28 + j * lda], &acc7);
}
xo += 32;
a0 += lda << 5;
SAVE (&acc0, i + 0);
SAVE (&acc1, i + 4);
SAVE (&acc2, i + 8);
SAVE (&acc3, i + 12);
SAVE (&acc4, i + 16);
SAVE (&acc5, i + 20);
SAVE (&acc6, i + 24);
SAVE (&acc7, i + 28);

}
for (i = tmp; i < n; i += 4)
{
xo = x1;
a0 = a_ptr;
__builtin_mma_xxsetaccz (&acc0);
for (j = 0; j < 32; j++)
{
__builtin_prefetch (xo+j);
__builtin_prefetch (a0+i+j+lda);
MMA (xo[j], a0[i + j * lda], &acc0);
}
xo += 32;
a0 += lda << 5;
for (j = 0; j < 32; j++)
{
__builtin_prefetch (xo+j);
__builtin_prefetch (a0+i+j+lda);
MMA (xo[j], a0[i + j * lda], &acc0);
}
xo += 32;
a0 += lda << 5;
for (j = 0; j < 32; j++)
{
__builtin_prefetch (xo+j);
__builtin_prefetch (a0+i+j+lda);
MMA (xo[j], a0[i + j * lda], &acc0);
}
xo += 32;
a0 += lda << 5;
for (j = 0; j < 32; j++)
{
__builtin_prefetch (xo+j);
__builtin_prefetch (a0+i+j+lda);
MMA (xo[j], a0[i + j * lda], &acc0);
}
xo += 32;
a0 += lda << 5;
SAVE (&acc0, i);
}
}


#define NBMAX 4096

#ifndef HAVE_KERNEL_4x4

static void dgemv_kernel_4x4(BLASLONG n, FLOAT *a_ptr, BLASLONG lda, FLOAT *xo, FLOAT *y, FLOAT alpha)
{
BLASLONG i;
FLOAT x[4] __attribute__ ((aligned (16)));;
FLOAT *a0 = a_ptr;
FLOAT *a1 = a0 + lda;
FLOAT *a2 = a1 + lda;
FLOAT *a3 = a2 + lda;


for ( i=0; i<4; i++)
x[i] = xo[i] * alpha;

for ( i=0; i< n; i+=4 )
{
y[i] += a0[i]*x[0] + a1[i]*x[1] + a2[i]*x[2] + a3[i]*x[3];
y[i+1] += a0[i+1]*x[0] + a1[i+1]*x[1] + a2[i+1]*x[2] + a3[i+1]*x[3];
y[i+2] += a0[i+2]*x[0] + a1[i+2]*x[1] + a2[i+2]*x[2] + a3[i+2]*x[3];
y[i+3] += a0[i+3]*x[0] + a1[i+3]*x[1] + a2[i+3]*x[2] + a3[i+3]*x[3];
}
}

#endif

#ifndef HAVE_KERNEL_4x2

static void dgemv_kernel_4x2(BLASLONG n, FLOAT *a0, FLOAT *a1, FLOAT *xo, FLOAT *y, FLOAT alpha)
{
BLASLONG i;
FLOAT x[4] __attribute__ ((aligned (16)));;

for ( i=0; i<2; i++)
x[i] = xo[i] * alpha;

for ( i=0; i< n; i+=4 )
{
y[i] += a0[i]*x[0] + a1[i]*x[1];
y[i+1] += a0[i+1]*x[0] + a1[i+1]*x[1];
y[i+2] += a0[i+2]*x[0] + a1[i+2]*x[1];
y[i+3] += a0[i+3]*x[0] + a1[i+3]*x[1];
}
}


#endif

#ifndef HAVE_KERNEL_4x1

static void dgemv_kernel_4x1(BLASLONG n, FLOAT *a0, FLOAT *xo, FLOAT *y, FLOAT alpha)
{
BLASLONG i;
FLOAT x[4] __attribute__ ((aligned (16)));;

for ( i=0; i<1; i++)
x[i] = xo[i] * alpha;

for ( i=0; i< n; i+=4 )
{
y[i] += a0[i]*x[0];
y[i+1] += a0[i+1]*x[0];
y[i+2] += a0[i+2]*x[0];
y[i+3] += a0[i+3]*x[0];
}
}


#endif


static void add_y(BLASLONG n, FLOAT *src, FLOAT *dest, BLASLONG inc_dest)
{
BLASLONG i;
if ( inc_dest != 1 )
{
for ( i=0; i<n; i++ )
{
*dest += *src;
src++;
dest += inc_dest;
}
return;
}

}

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;
FLOAT *a_ptr;
FLOAT *x_ptr;
FLOAT *y_ptr;
BLASLONG n1;
BLASLONG m1;
BLASLONG m2;
BLASLONG m3;
BLASLONG n2;
BLASLONG lda4 = lda << 2;
BLASLONG lda128 = lda << 7;

FLOAT xbuffer[8] __attribute__ ((aligned (16)));
FLOAT *ybuffer;

if ( m < 1 ) return(0);
if ( n < 1 ) return(0);

ybuffer = buffer;
BLASLONG n128 = n >> 7;
n1 = (n - (n128 * 128)) >> 2;
n2 = (n - (n128 * 128)) & 3;

m3 = m & 3 ;
m1 = m & -4 ;
m2 = (m & (NBMAX-1)) - m3 ;

y_ptr = y;

BLASLONG NB = NBMAX;

while ( NB == NBMAX )
{
m1 -= NB;
if ( m1 < 0)
{
if ( m2 == 0 ) break;
NB = m2;
}
a_ptr = a;
x_ptr = x;
if ( inc_y != 1 )
memset(ybuffer,0,NB*8);
else
ybuffer = y_ptr;

if ( inc_x == 1 )
{

for( i = 0; i < n128 ; i++)
{
dgemv_kernel_4x128(NB,a_ptr,lda,x_ptr,ybuffer,alpha);
a_ptr += lda128;
x_ptr += 128;
}

for( i = 0; i < n1 ; i++)
{
dgemv_kernel_4x4(NB,a_ptr,lda,x_ptr,ybuffer,alpha);
a_ptr += lda4;
x_ptr += 4;
}

if ( n2 & 2 )
{
dgemv_kernel_4x2(NB,a_ptr,a_ptr+lda,x_ptr,ybuffer,alpha);
a_ptr += lda*2;
x_ptr += 2;
}


if ( n2 & 1 )
{
dgemv_kernel_4x1(NB,a_ptr,x_ptr,ybuffer,alpha);
a_ptr += lda;
x_ptr += 1;

}


}
else
{
for( i = 0; i < n128 ; i++)
{
FLOAT xbuffer[128] __attribute__ ((aligned (16)));
BLASLONG j;
for ( j = 0; j < 128 ; j++)
{
xbuffer[j] = x_ptr[0];
x_ptr += inc_x;
}
dgemv_kernel_4x128(NB,a_ptr,lda,xbuffer,ybuffer,alpha);
a_ptr += lda128;
}

for( i = 0; i < n1 ; i++)
{
xbuffer[0] = x_ptr[0];
x_ptr += inc_x;
xbuffer[1] = x_ptr[0];
x_ptr += inc_x;
xbuffer[2] = x_ptr[0];
x_ptr += inc_x;
xbuffer[3] = x_ptr[0];
x_ptr += inc_x;
dgemv_kernel_4x4(NB,a_ptr,lda,xbuffer,ybuffer,alpha);
a_ptr += lda4;
}

for( i = 0; i < n2 ; i++)
{
xbuffer[0] = x_ptr[0];
x_ptr += inc_x;
dgemv_kernel_4x1(NB,a_ptr,xbuffer,ybuffer,alpha);
a_ptr += lda;

}

}

a += NB;
if ( inc_y != 1 )
{
add_y(NB,ybuffer,y_ptr,inc_y);
y_ptr += NB * inc_y;
}
else
y_ptr += NB ;

}

if ( m3 == 0 ) return(0);

if ( m3 == 3 )
{
a_ptr = a;
x_ptr = x;
FLOAT temp0 = 0.0;
FLOAT temp1 = 0.0;
FLOAT temp2 = 0.0;
if ( lda == 3 && inc_x ==1 )
{

for( i = 0; i < ( n & -4 ); i+=4 )
{

temp0 += a_ptr[0] * x_ptr[0] + a_ptr[3] * x_ptr[1];
temp1 += a_ptr[1] * x_ptr[0] + a_ptr[4] * x_ptr[1];
temp2 += a_ptr[2] * x_ptr[0] + a_ptr[5] * x_ptr[1];

temp0 += a_ptr[6] * x_ptr[2] + a_ptr[9] * x_ptr[3];
temp1 += a_ptr[7] * x_ptr[2] + a_ptr[10] * x_ptr[3];
temp2 += a_ptr[8] * x_ptr[2] + a_ptr[11] * x_ptr[3];

a_ptr += 12;
x_ptr += 4;
}

for( ; i < n; i++ )
{
temp0 += a_ptr[0] * x_ptr[0];
temp1 += a_ptr[1] * x_ptr[0];
temp2 += a_ptr[2] * x_ptr[0];
a_ptr += 3;
x_ptr ++;
}

}
else
{

for( i = 0; i < n; i++ )
{
temp0 += a_ptr[0] * x_ptr[0];
temp1 += a_ptr[1] * x_ptr[0];
temp2 += a_ptr[2] * x_ptr[0];
a_ptr += lda;
x_ptr += inc_x;


}

}
y_ptr[0] += alpha * temp0;
y_ptr += inc_y;
y_ptr[0] += alpha * temp1;
y_ptr += inc_y;
y_ptr[0] += alpha * temp2;
return(0);
}


if ( m3 == 2 )
{
a_ptr = a;
x_ptr = x;
FLOAT temp0 = 0.0;
FLOAT temp1 = 0.0;
if ( lda == 2 && inc_x ==1 )
{

for( i = 0; i < (n & -4) ; i+=4 )
{
temp0 += a_ptr[0] * x_ptr[0] + a_ptr[2] * x_ptr[1];
temp1 += a_ptr[1] * x_ptr[0] + a_ptr[3] * x_ptr[1];
temp0 += a_ptr[4] * x_ptr[2] + a_ptr[6] * x_ptr[3];
temp1 += a_ptr[5] * x_ptr[2] + a_ptr[7] * x_ptr[3];
a_ptr += 8;
x_ptr += 4;

}


for( ; i < n; i++ )
{
temp0 += a_ptr[0] * x_ptr[0];
temp1 += a_ptr[1] * x_ptr[0];
a_ptr += 2;
x_ptr ++;
}

}
else
{

for( i = 0; i < n; i++ )
{
temp0 += a_ptr[0] * x_ptr[0];
temp1 += a_ptr[1] * x_ptr[0];
a_ptr += lda;
x_ptr += inc_x;


}

}
y_ptr[0] += alpha * temp0;
y_ptr += inc_y;
y_ptr[0] += alpha * temp1;
return(0);
}

if ( m3 == 1 )
{
a_ptr = a;
x_ptr = x;
FLOAT temp = 0.0;
if ( lda == 1 && inc_x ==1 )
{

for( i = 0; i < (n & -4); i+=4 )
{
temp += a_ptr[i] * x_ptr[i] + a_ptr[i+1] * x_ptr[i+1] + a_ptr[i+2] * x_ptr[i+2] + a_ptr[i+3] * x_ptr[i+3];
}

for( ; i < n; i++ )
{
temp += a_ptr[i] * x_ptr[i];
}

}
else
{

for( i = 0; i < n; i++ )
{
temp += a_ptr[0] * x_ptr[0];
a_ptr += lda;
x_ptr += inc_x;
}

}
y_ptr[0] += alpha * temp;
return(0);
}


return(0);
}



+ 840
- 0
kernel/power/dgemv_t_power10.c View File

@@ -0,0 +1,840 @@
/***************************************************************************
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)
static void dgemv_kernel_4x8(BLASLONG n, BLASLONG lda, double *ap, double *x, double *y, double alpha) {

FLOAT *a0, *a1, *a2, *a3, *a4, *a5, *a6, *a7;
BLASLONG off2;
BLASLONG tempR;
__asm__(
"sldi %[temp],%[off], 4 \n\t" // lda * sizeof (double) *2
"sldi %[off], %[off], 3 \n\t" // lda * sizeof (double)
"xxlxor 34,34,34 \n\t"
"xxlxor 35,34,34 \n\t"
"add %[a2], %[a0], %[temp] \n\t"
"add %[a1], %[a0], %[off] \n\t"
"xxlxor 4,34,34 \n\t"
"xxlxor 5,34,34 \n\t"
"xxlxor 6,34,34 \n\t"
"xxlxor 7,34,34 \n\t"
"add %[a3], %[a2], %[off] \n\t"
"add %[a4], %[a2], %[temp] \n\t"
"xxlxor 8,34,34 \n\t"
"xxlxor 9,34,34 \n\t"
"add %[a5], %[a3], %[temp] \n\t"
"li %[off],0 \n\t"
"li %[off2],16 \n\t"
"add %[a6], %[a4], %[temp] \n\t"
"add %[a7], %[a5], %[temp] \n\t"



"lxvp 32, 0(%[x]) \n\t"
"lxvp 36, 0(%[a0]) \n\t"
"lxvp 38, 0(%[a1]) \n\t"
"lxvp 40, 0(%[a2]) \n\t"
"lxvp 42, 0(%[a3]) \n\t"
"lxvp 44, 0(%[a4]) \n\t"
"lxvp 46, 0(%[a5]) \n\t"
"lxvp 48, 0(%[a6]) \n\t"
"lxvp 50, 0(%[a7]) \n\t"
#if defined(PREFETCH)
"li %[temp],896 \n\t"
#endif
"addic. %[n],%[n],-4 \n\t"

"li %[off],32 \n\t"


"ble- two%= \n\t"

//--------------------------------------------------
".align 5 \n\t"
"one%=: \n\t"
"xvmaddadp 34,36,32 \n\t"
"xvmaddadp 35,38,32 \n\t"
"addi %[off2], %[off2],32 \n\t"
"xvmaddadp 4,40,32 \n\t"
"xvmaddadp 5,42,32 \n\t"
"xvmaddadp 6,44,32 \n\t"
"xvmaddadp 7,46,32 \n\t"
"xvmaddadp 8,48,32 \n\t"
"xvmaddadp 9,50,32 \n\t"

"xvmaddadp 34,37,33 \n\t"
"xvmaddadp 35,39,33 \n\t"
"lxvp 36, 32(%[a0]) \n\t"
"lxvp 38, 32(%[a1]) \n\t"
"xvmaddadp 4,41,33 \n\t"
"xvmaddadp 5,43,33 \n\t"
"addi %[off], %[off],32 \n\t"
"lxvp 40, 32(%[a2]) \n\t"
"lxvp 42, 32(%[a3]) \n\t"
"xvmaddadp 6,45,33 \n\t"
"xvmaddadp 7,47,33 \n\t"
"lxvp 44, 32(%[a4]) \n\t"
"lxvp 46, 32(%[a5]) \n\t"
"xvmaddadp 8,49,33 \n\t"
"xvmaddadp 9,51,33 \n\t"
"addic. %[n],%[n],-4 \n\t"
"lxvp 48, 32(%[a6]) \n\t"
"lxvp 50, 32(%[a7]) \n\t"
"lxvp 32, 32(%[x]) \n\t"
"ble- two%= \n\t"
"xvmaddadp 34,36,32 \n\t"
"xvmaddadp 35,38,32 \n\t"
"addi %[off2], %[off2],32 \n\t"
"xvmaddadp 4,40,32 \n\t"
"xvmaddadp 5,42,32 \n\t"
"xvmaddadp 6,44,32 \n\t"
"xvmaddadp 7,46,32 \n\t"
"xvmaddadp 8,48,32 \n\t"
"xvmaddadp 9,50,32 \n\t"

"xvmaddadp 34,37,33 \n\t"
"xvmaddadp 35,39,33 \n\t"
"lxvp 36, 64(%[a0]) \n\t"
"lxvp 38, 64(%[a1]) \n\t"
"xvmaddadp 4,41,33 \n\t"
"xvmaddadp 5,43,33 \n\t"
"addi %[off], %[off],32 \n\t"
"lxvp 40, 64(%[a2]) \n\t"
"lxvp 42, 64(%[a3]) \n\t"
"xvmaddadp 6,45,33 \n\t"
"xvmaddadp 7,47,33 \n\t"
"lxvp 44, 64(%[a4]) \n\t"
"lxvp 46, 64(%[a5]) \n\t"
"xvmaddadp 8,49,33 \n\t"
"xvmaddadp 9,51,33 \n\t"
"addic. %[n],%[n],-4 \n\t"
"lxvp 48, 64(%[a6]) \n\t"
"lxvp 50, 64(%[a7]) \n\t"
"lxvp 32, 64(%[x]) \n\t"
"ble- two%= \n\t"
"xvmaddadp 34,36,32 \n\t"
"xvmaddadp 35,38,32 \n\t"
#if defined(PREFETCH)
"addi %[temp],%[temp],128 \n\t"
#endif
"addi %[off2], %[off2],32 \n\t"
"xvmaddadp 4,40,32 \n\t"
"xvmaddadp 5,42,32 \n\t"
"xvmaddadp 6,44,32 \n\t"
"xvmaddadp 7,46,32 \n\t"
"xvmaddadp 8,48,32 \n\t"
"xvmaddadp 9,50,32 \n\t"
#if defined(PREFETCH)
"dcbt %[temp],%[a0] \n\t"
#endif

"xvmaddadp 34,37,33 \n\t"
"xvmaddadp 35,39,33 \n\t"
"lxvp 36, 96(%[a0]) \n\t"
"lxvp 38, 96(%[a1]) \n\t"
"xvmaddadp 4,41,33 \n\t"
"xvmaddadp 5,43,33 \n\t"
#if defined(PREFETCH)
"dcbt %[temp],%[a1] \n\t"
#endif
"lxvp 40, 96(%[a2]) \n\t"
"lxvp 42, 96(%[a3]) \n\t"
"addi %[off], %[off],32 \n\t"
"xvmaddadp 6,45,33 \n\t"
"xvmaddadp 7,47,33 \n\t"
"lxvp 44, 96(%[a4]) \n\t"
"lxvp 46, 96(%[a5]) \n\t"
"xvmaddadp 8,49,33 \n\t"
"xvmaddadp 9,51,33 \n\t"
#if defined(PREFETCH)
"dcbt %[temp],%[a3] \n\t"
#endif
"lxvp 48, 96(%[a6]) \n\t"
"lxvp 50, 96(%[a7]) \n\t"
"lxvp 32, 96(%[x]) \n\t"
"addic. %[n],%[n],-4 \n\t"
"ble- two%= \n\t"
"addi %[off2], %[off2],32 \n\t"
#if defined(PREFETCH)
"dcbt %[temp],%[a2] \n\t"
#endif
"xvmaddadp 34,36,32 \n\t"
"xvmaddadp 35,38,32 \n\t"
"xvmaddadp 4,40,32 \n\t"
"xvmaddadp 5,42,32 \n\t"
#if defined(PREFETCH)
"dcbt %[temp],%[a4] \n\t"
#endif
"xvmaddadp 6,44,32 \n\t"
"xvmaddadp 7,46,32 \n\t"
"xvmaddadp 8,48,32 \n\t"
"xvmaddadp 9,50,32 \n\t"

#if defined(PREFETCH)
"dcbt %[temp],%[a5] \n\t"
#endif
"xvmaddadp 34,37,33 \n\t"
"xvmaddadp 35,39,33 \n\t"
"lxvp 36, 128(%[a0]) \n\t"
"lxvp 38, 128(%[a1]) \n\t"
"xvmaddadp 4,41,33 \n\t"
"xvmaddadp 5,43,33 \n\t"
"addi %[off], %[off],32 \n\t"
"lxvp 40, 128(%[a2]) \n\t"
"lxvp 42, 128(%[a3]) \n\t"
#if defined(PREFETCH)
"dcbt %[temp],%[a6] \n\t"
#endif
"xvmaddadp 6,45,33 \n\t"
"xvmaddadp 7,47,33 \n\t"
"lxvp 44, 128(%[a4]) \n\t"
"lxvp 46, 128(%[a5]) \n\t"
"xvmaddadp 8,49,33 \n\t"
"xvmaddadp 9,51,33 \n\t"
#if defined(PREFETCH)
"dcbt %[temp],%[a7] \n\t"
#endif
"addic. %[n],%[n],-4 \n\t"
"lxvp 48, 128(%[a6]) \n\t"
"lxvp 50, 128(%[a7]) \n\t"
"lxvp 32, 128(%[x]) \n\t"
#if defined(PREFETCH)
"dcbt %[temp],%[x] \n\t"
#endif
"addi %[a0], %[a0], 128 \n\t"
"addi %[a1], %[a1], 128 \n\t"
"addi %[a2], %[a2], 128 \n\t"
"addi %[a3], %[a3], 128 \n\t"
"addi %[a4], %[a4], 128 \n\t"
"addi %[a5], %[a5], 128 \n\t"
"addi %[a6], %[a6], 128 \n\t"
"addi %[a7], %[a7], 128 \n\t"
"addi %[x], %[x], 128 \n\t"
"bgt+ one%= \n\t"
".align 5 \n\t"
"two%=: \n\t"
//--------------------------------------------

"xvmaddadp 34,36,32 \n\t"
"xvmaddadp 35,38,32 \n\t"
"xvmaddadp 4,40,32 \n\t"
"xvmaddadp 5,42,32 \n\t"
"xvmaddadp 6,44,32 \n\t"
"xvmaddadp 7,46,32 \n\t"
"xvmaddadp 8,48,32 \n\t"
"xvmaddadp 9,50,32 \n\t"
XXSPLTD_S(36,%x[alpha],0)
"xvmaddadp 34,37,33 \n\t"
"xvmaddadp 35,39,33 \n\t"
"xvmaddadp 4,41,33 \n\t"
"xvmaddadp 5,43,33 \n\t"
"xvmaddadp 6,45,33 \n\t"
"xvmaddadp 7,47,33 \n\t"
"xvmaddadp 8,49,33 \n\t"
"xvmaddadp 9,51,33 \n\t"

"lxvp 38, 0(%[y]) \n\t"
"lxvp 40, 32(%[y]) \n\t"


XXMRGLD_S(42,35,34)
XXMRGHD_S(43,35,34)

XXMRGLD_S(44,5,4)
XXMRGHD_S(45,5,4)

"xvadddp 42,42,43 \n\t"

XXMRGLD_S(46,7,6)
XXMRGHD_S(47,7,6)

"xvadddp 44,44,45 \n\t"

XXMRGLD_S(48,9,8)
XXMRGHD_S(49,9,8)

"xvadddp 46,46,47 \n\t"
"xvmaddadp 39,42,36 \n\t"
"xvmaddadp 38,44,36 \n\t"
"xvadddp 48,48,49 \n\t"

"xvmaddadp 41,46,36 \n\t"

"stxvp 38, 0(%[y]) \n\t"
"xvmaddadp 40,48,36 \n\t"
"stxvp 40, 32(%[y]) \n\t"
: [memy] "+m" (*(double (*)[8])y),
[n] "+&r" (n),
[a0] "=b" (a0),
[a1] "=&b" (a1),
[a2] "=&b" (a2),
[a3] "=&b" (a3),
[a4] "=&b" (a4),
[a5] "=&b" (a5),
[a6] "=&b" (a6),
[a7] "=&b" (a7),
[off] "+&b" (lda),
[off2]"=&b" (off2),
[temp] "=&b" (tempR)
: [memx] "m" (*(const double (*)[n])x),
[mem_ap] "m" (*(const double (*)[n*8]) ap),
[alpha] "d" (alpha),
"[a0]" (ap),
[x] "b" (x),
[y] "b" (y)
: "cc","vs4","vs5","vs6","vs7","vs8","vs9" ,"vs32","vs33","vs34","vs35", "vs36", "vs37", "vs38", "vs39",
"vs40", "vs41", "vs42", "vs43", "vs44", "vs45", "vs46", "vs47", "vs48", "vs49", "vs50", "vs51"
);
return;
}
#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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