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OpenBLAS/kernel/power/izamax.c

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/***************************************************************************
Copyright (c) 2017, 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 <math.h>
#define ABS fabs
#define CABS1(x,i) ABS(x[i])+ABS(x[i+1])
#if defined(__VEC__) || defined(__ALTIVEC__)
/**
* Find maximum index
* Warning: requirements n>0 and n % 16 == 0
* @param n
* @param x pointer to the vector
* @param maxf (out) maximum absolute value .( only for output )
* @return index
*/
static BLASLONG ziamax_kernel_16(BLASLONG n, FLOAT *x, FLOAT *maxf) {
BLASLONG index;
register __vector long long start = {1,0};
register __vector long long temp_add_index = {2, 2};
__asm__(
"lxvd2x 44, 0,%[ptr_tmp] \n\t"
"lxvd2x 45, %[i16],%[ptr_tmp] \n\t"
"lxvd2x 46, %[i32],%[ptr_tmp] \n\t"
"lxvd2x 47, %[i48],%[ptr_tmp] \n\t"
"lxvd2x 48, %[i64],%[ptr_tmp] \n\t"
"lxvd2x 49, %[i80],%[ptr_tmp] \n\t"
"lxvd2x 6, %[i96],%[ptr_tmp] \n\t"
"lxvd2x 7,%[i112],%[ptr_tmp] \n\t"
"xxlor 40,%x[start],%x[start] \n\t" //{ 1,0} vs40 | v8
"vaddudm 9,8,%[adder] \n\t" //{3,2} vs41
"xxlxor 37,37 ,37 \n\t" //v5 v37 index_count
"vaddudm 10,9,%[adder] \n\t" //{5,4} vs42
"xxlxor 38 ,38 ,38 \n\t" // v6 | vs38 vec_max_index
"vaddudm 11,10,%[adder] \n\t" //{7,6} vs43
"xxlxor 39,39,39 \n\t" // vs39 vec_max_value is zero
"vaddudm 4,11, %[adder] \n\t" // {9,8} -{8;8} vs36 | v4
XXSPLTD_S(36,36,0)
"xvabsdp 44, 44 \n\t"
"xvabsdp 45, 45 \n\t"
"xvabsdp 46, 46 \n\t"
"xvabsdp 47, 47 \n\t"
"xvabsdp 48, 48 \n\t"
"xvabsdp 49, 49 \n\t"
"xvabsdp 6, 6 \n\t"
"xvabsdp 7, 7 \n\t"
//jump first half forward
"b two%= \n\t"
".align 5 \n\t"
"one%=: \n\t"
XXMRGHD_S(0,44,45)
XXMRGLD_S(1,44,45)
XXMRGHD_S(2,46,47)
XXMRGLD_S(3,46,47)
XXMRGHD_S(4,48,49)
XXMRGLD_S(5,48,49)
XXMRGHD_S(44,6,7)
XXMRGLD_S(45,6,7)
"xvadddp 46, 0,1 \n\t"
"xvadddp 47, 2,3 \n\t"
"xvadddp 48, 4,5 \n\t"
"xvadddp 49, 44,45 \n\t"
"xvcmpgtdp 6,47,46 \n\t "
"xvcmpgtdp 7,49,48 \n\t "
"addi %[ptr_tmp] ,%[ptr_tmp] , 128 \n\t"
"xxsel 32,40,41,6 \n\t"
"xxsel 0,46,47,6 \n\t"
"xxsel 33,42,43,7 \n\t"
"xxsel 1,48,49,7 \n\t"
"lxvd2x 44, 0,%[ptr_tmp] \n\t"
"lxvd2x 45, %[i16],%[ptr_tmp] \n\t"
"xvcmpgtdp 2,1,0 \n\t "
"lxvd2x 46, %[i32],%[ptr_tmp] \n\t"
"lxvd2x 47, %[i48],%[ptr_tmp] \n\t"
"xxsel 32,32,33,2 \n\t"
"xxsel 3,0,1,2 \n\t"
"vaddudm 0,0,5 \n\t"
//cmp with previous
"xvcmpgtdp 4,3,39 \n\t "
"vaddudm 5,5,4 \n\t"
"lxvd2x 48, %[i64],%[ptr_tmp] \n\t"
"lxvd2x 49, %[i80],%[ptr_tmp] \n\t"
"lxvd2x 6, %[i96],%[ptr_tmp] \n\t"
"lxvd2x 7,%[i112],%[ptr_tmp] \n\t"
//select with previous
"xxsel 38,38,32,4 \n\t"
"xxsel 39,39,3,4 \n\t"
"xvabsdp 44, 44 \n\t"
"xvabsdp 45, 45 \n\t"
"xvabsdp 46, 46 \n\t"
"xvabsdp 47, 47 \n\t"
"xvabsdp 48, 48 \n\t"
"xvabsdp 49, 49 \n\t"
"xvabsdp 6, 6 \n\t"
"xvabsdp 7, 7 \n\t"
//>>/////////////////////////////// half start
"two%=: \n\t"
XXMRGHD_S(0,44,45)
XXMRGLD_S(1,44,45)
XXMRGHD_S(2,46,47)
XXMRGLD_S(3,46,47)
XXMRGHD_S(4,48,49)
XXMRGLD_S(5,48,49)
XXMRGHD_S(44,6,7)
XXMRGLD_S(45,6,7)
"xvadddp 46, 0,1 \n\t"
"xvadddp 47, 2,3 \n\t"
"xvadddp 48, 4,5 \n\t"
"xvadddp 49, 44,45 \n\t"
"xvcmpgtdp 6,47,46 \n\t "
"xvcmpgtdp 7,49,48 \n\t "
"addi %[ptr_tmp] ,%[ptr_tmp] , 128 \n\t"
"xxsel 32,40,41,6 \n\t"
"xxsel 0,46,47,6 \n\t"
"xxsel 33,42,43,7 \n\t"
"xxsel 1,48,49,7 \n\t"
"lxvd2x 44, 0,%[ptr_tmp] \n\t"
"lxvd2x 45, %[i16],%[ptr_tmp] \n\t"
"xvcmpgtdp 2,1,0 \n\t "
"lxvd2x 46, %[i32],%[ptr_tmp] \n\t"
"lxvd2x 47, %[i48],%[ptr_tmp] \n\t"
"xxsel 32,32,33,2 \n\t"
"xxsel 3,0,1,2 \n\t"
"vaddudm 0,0,5 \n\t"
//cmp with previous
"xvcmpgtdp 4,3,39 \n\t "
"vaddudm 5,5,4 \n\t"
"lxvd2x 48, %[i64],%[ptr_tmp] \n\t"
"lxvd2x 49, %[i80],%[ptr_tmp] \n\t"
"lxvd2x 6, %[i96],%[ptr_tmp] \n\t"
"lxvd2x 7,%[i112],%[ptr_tmp] \n\t"
//select with previous
"xxsel 38,38,32,4 \n\t"
"xxsel 39,39,3,4 \n\t"
"xvabsdp 44, 44 \n\t"
"xvabsdp 45, 45 \n\t"
"xvabsdp 46, 46 \n\t"
"xvabsdp 47, 47 \n\t"
"xvabsdp 48, 48 \n\t"
"xvabsdp 49, 49 \n\t"
"xvabsdp 6, 6 \n\t"
"xvabsdp 7, 7 \n\t"
//decrement n
"addic. %[n], %[n], -16 \n\t"
//Loop back if >0
"bgt+ one%= \n\t"
XXMRGHD_S(0,44,45)
XXMRGLD_S(1,44,45)
XXMRGHD_S(2,46,47)
XXMRGLD_S(3,46,47)
XXMRGHD_S(4,48,49)
XXMRGLD_S(5,48,49)
XXMRGHD_S(44,6,7)
XXMRGLD_S(45,6,7)
"xvadddp 46, 0,1 \n\t"
"xvadddp 47, 2,3 \n\t"
"xvadddp 48, 4,5 \n\t"
"xvadddp 49, 44,45 \n\t"
"xvcmpgtdp 6,47,46 \n\t "
"xvcmpgtdp 7,49,48 \n\t "
"xxsel 32,40,41,6 \n\t"
"xxsel 0,46,47,6 \n\t"
"xxsel 33,42,43,7 \n\t"
"xxsel 1,48,49,7 \n\t"
"xvcmpgtdp 2,1,0 \n\t "
"xxsel 32,32,33,2 \n\t"
"xxsel 3,0,1,2 \n\t"
"vaddudm 0,0,5 \n\t"
"addi %[ptr_tmp] ,%[ptr_tmp] , 128 \n\t"
//cmp with previous
"xvcmpgtdp 4,3,39 \n\t "
"vaddudm 5,5,4 \n\t"
"xxsel 38,38,32,4 \n\t"
"xxsel 39,39,3,4 \n\t"
///////extract max value and max index from vector
XXSPLTD_S(32,38,1)
XXSPLTD_S(40,39,1)
"xvcmpeqdp. 2, 40,39 \n\t"
//cr6 0 bit set if all true, cr6=4*6+bit_ind=24,0011at CR(BI)==1, at=10 hint that it occurs rarely
//0b001110=14
"bc 14,24, three%= \n\t"
"xvcmpgtdp 4, 40,39 \n\t"
"xxsel 0,39,40,4 \n\t"
"xxsel 1,38,32,4 \n\t"
"stxsdx 0,0,%[ptr_maxf] \n\t"
"b four%= \n\t"
"three%=: \n\t"
//if elements value are equal then choose minimum index
XXSPLTD_S(0,40,0)
"vminud 0,0,6 \n\t" //vs32 vs38
"xxlor 1,32,32 \n\t"
"stxsdx 0,0,%[ptr_maxf] \n\t"
"four%=: \n\t"
"mfvsrd %[index],1 \n\t"
: [maxf] "=m"(*maxf),[ptr_tmp] "+&b"(x),[index] "=r"(index), [n] "+&r"(n)
: [mem] "m"(*(const double (*)[2*n])x), [ptr_x] "b"(x), [ptr_maxf] "b"(maxf) ,
[i16] "b"(16), [i32] "b"(32), [i48] "b"(48),
[i64] "b"(64), [i80] "b"(80), [i96] "b"(96), [i112] "b"(112),
[start] "v"(start), [adder] "v"(temp_add_index)
: "cc", "vs0", "vs1","vs2","vs3", "vs4","vs5","vs32", "vs33", "vs34", "vs35", "vs36",
"vs37", "vs38", "vs39", "vs40", "vs41", "vs42", "vs43", "vs44", "vs45", "vs46", "vs47", "vs48", "vs49", "vs6", "vs7"
);
return index;
}
#endif
BLASLONG CNAME(BLASLONG n, FLOAT *x, BLASLONG inc_x)
{
BLASLONG i = 0;
BLASLONG ix = 0;
FLOAT maxf = 0;
BLASLONG max = 0;
BLASLONG inc_x2;
if (n <= 0 || inc_x <= 0) return(max);
if (inc_x == 1) {
#if defined(_CALL_ELF) && (_CALL_ELF == 2)
#if defined(__VEC__) || defined(__ALTIVEC__)
BLASLONG n1 = n & -16;
if (n1 > 0) {
max = ziamax_kernel_16(n1, x, &maxf);
i = n1;
ix = n1 << 1;
}
#endif
#endif
while(i < n)
{
if( CABS1(x,ix) > maxf )
{
max = i;
maxf = CABS1(x,ix);
}
ix += 2;
i++;
}
return (max + 1);
} else {
inc_x2 = 2 * inc_x;
maxf = CABS1(x,0);
ix += inc_x2;
i++;
while(i < n)
{
if( CABS1(x,ix) > maxf )
{
max = i;
maxf = CABS1(x,ix);
}
ix += inc_x2;
i++;
}
return (max + 1);
}
}
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