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/*
-- MAGMA (version 2.5.4) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date October 2020
@author Azzam Haidar
@author Ahmad Abdelfattah
*/
#include "magma_internal.h"
#ifdef __cplusplus
extern "C" {
#endif
// Definition of blocking sizes for NVIDIA cards
#ifdef HAVE_CUBLAS
// =============================================================================
/// @addtogroup magma_tuning
/// @{
#define ZPOTRF_SWITCH 160
#define CPOTRF_SWITCH 224
#define DPOTRF_SWITCH 384
#define SPOTRF_SWITCH 432
#define ZPOTRF_VBATCHED_SWITCH 448
#define CPOTRF_VBATCHED_SWITCH 384
#define DPOTRF_VBATCHED_SWITCH 480
#define SPOTRF_VBATCHED_SWITCH 704
/***************************************************************************//**
Returns in nb and recnb the crossover points for potrf based on n
*******************************************************************************/
void magma_get_zpotrf_batched_nbparam(magma_int_t n, magma_int_t *nb, magma_int_t *recnb)
{
if (n <= ZPOTRF_SWITCH)
{
*nb = ZPOTRF_SWITCH;
*recnb = ZPOTRF_SWITCH;
return;
}
*nb = 64;
*recnb = 32;
return;
}
/// @see magma_get_zpotrf_batched_nbparam
void magma_get_cpotrf_batched_nbparam(magma_int_t n, magma_int_t *nb, magma_int_t *recnb)
{
if (n <= CPOTRF_SWITCH)
{
*nb = CPOTRF_SWITCH;
*recnb = CPOTRF_SWITCH;
return;
}
if (n <= 256)
{
*nb = 256;
*recnb = 256;
}
else {
*nb = 128;
*recnb = 32;
}
return;
}
/// @see magma_get_zpotrf_batched_nbparam
void magma_get_dpotrf_batched_nbparam(magma_int_t n, magma_int_t *nb, magma_int_t *recnb)
{
if (n <= DPOTRF_SWITCH)
{
*nb = DPOTRF_SWITCH;
*recnb = DPOTRF_SWITCH;
return;
}
if (n <= 384)
{
*nb = 384;
*recnb = 384;
}
else {
*nb = 128;
*recnb = 32;
}
return;
}
/// @see magma_get_zpotrf_batched_nbparam
void magma_get_spotrf_batched_nbparam(magma_int_t n, magma_int_t *nb, magma_int_t *recnb)
{
if (n <= SPOTRF_SWITCH)
{
*nb = SPOTRF_SWITCH;
*recnb = SPOTRF_SWITCH;
return;
}
if (n <= 464)
{
*nb = 512;
*recnb = 512;
}
else {
*nb = 256;
*recnb = 64;
}
return;
}
/***************************************************************************//**
Returns in nb and recnb the crossover points for potrf based on m
*******************************************************************************/
void magma_get_zgetrf_batched_nbparam(magma_int_t n, magma_int_t *nb, magma_int_t *recnb)
{
*nb = 64;
*recnb = 32;
return;
}
/// @see magma_get_zgetrf_batched_nbparam
void magma_get_cgetrf_batched_nbparam(magma_int_t n, magma_int_t *nb, magma_int_t *recnb)
{
*nb = 128;
*recnb = 32;
return;
}
/// @see magma_get_zgetrf_batched_nbparam
void magma_get_dgetrf_batched_nbparam(magma_int_t n, magma_int_t *nb, magma_int_t *recnb)
{
*nb = 128;
*recnb = 32;
return;
}
/// @see magma_get_zgetrf_batched_nbparam
void magma_get_sgetrf_batched_nbparam(magma_int_t n, magma_int_t *nb, magma_int_t *recnb)
{
*nb = 128;
*recnb = 32;
return;
}
/***************************************************************************//**
@return nb for geqrf_batched based on n
*******************************************************************************/
// TODO: get_geqrf_nb takes (m,n); this should do likewise
magma_int_t magma_get_zgeqrf_batched_nb(magma_int_t m)
{
return 32;
}
/// @see magma_get_zgeqrf_batched_nb
magma_int_t magma_get_cgeqrf_batched_nb(magma_int_t m)
{
return 32;
}
/// @see magma_get_zgeqrf_batched_nb
magma_int_t magma_get_dgeqrf_batched_nb(magma_int_t m)
{
return 32;
}
/// @see magma_get_zgeqrf_batched_nb
magma_int_t magma_get_sgeqrf_batched_nb(magma_int_t m)
{
return 32;
}
/***************************************************************************//**
@return the crossover point between the _lg or the kernel directly
*******************************************************************************/
magma_int_t magma_get_zpotrf_batched_crossover()
{
magma_int_t arch = magma_getdevice_arch();
if(arch >= 700){
return 352;
}
else if(arch >= 600){
return 352;
}
else{
return 160;
}
}
/// @see magma_get_zpotrf_batched_crossover
magma_int_t magma_get_cpotrf_batched_crossover()
{
magma_int_t arch = magma_getdevice_arch();
if(arch >= 700){
return 576;
}
else if(arch >= 600){
return 544;
}
else{
return 224;
}
}
/// @see magma_get_zpotrf_batched_crossover
magma_int_t magma_get_dpotrf_batched_crossover()
{
magma_int_t arch = magma_getdevice_arch();
if(arch >= 700){
return 640;
}
else if(arch >= 600){
return 576;
}
else{
return 384;
}
}
/// @see magma_get_zpotrf_batched_crossover
magma_int_t magma_get_spotrf_batched_crossover()
{
magma_int_t arch = magma_getdevice_arch();
if(arch >= 700){
return 608;
}
else if(arch >= 600){
return 544;
}
else{
return 432;
}
}
/***************************************************************************//**
@return the crossover point between the _lg or the kernel directly
*******************************************************************************/
magma_int_t magma_get_zpotrf_vbatched_crossover()
{
return ZPOTRF_VBATCHED_SWITCH;
}
/// @see magma_get_zpotrf_vbatched_crossover
magma_int_t magma_get_cpotrf_vbatched_crossover()
{
return CPOTRF_VBATCHED_SWITCH;
}
/// @see magma_get_zpotrf_vbatched_crossover
magma_int_t magma_get_dpotrf_vbatched_crossover()
{
return DPOTRF_VBATCHED_SWITCH;
}
/// @see magma_get_zpotrf_vbatched_crossover
magma_int_t magma_get_spotrf_vbatched_crossover()
{
return SPOTRF_VBATCHED_SWITCH;
}
/***************************************************************************//**
@return the ntcol value for very small xgetri_batched ( m = n )
*******************************************************************************/
magma_int_t magma_get_zgetri_batched_ntcol(magma_int_t m, magma_int_t n)
{
magma_int_t ntcol = 1;
// TODO: conduct tuning experiment for ntcol in z precision
if(m == n){
if( m < 16)
ntcol = 2;
else
ntcol = 1;
}
return ntcol;
}
/// @see magma_get_zgetri_batched_ntcol
magma_int_t magma_get_cgetri_batched_ntcol(magma_int_t m, magma_int_t n)
{
magma_int_t ntcol = 1;
// TODO: conduct tuning experiment for ntcol in z precision
if(m == n){
if( m < 16)
ntcol = 2;
else
ntcol = 1;
}
return ntcol;
}
/// @see magma_get_zgetri_batched_ntcol
magma_int_t magma_get_dgetri_batched_ntcol(magma_int_t m, magma_int_t n)
{
// TODO: conduct tuning experiment for ntcol on Kepler
magma_int_t arch = magma_getdevice_arch();
magma_int_t ntcol = 1;
if(m == n ){
switch(m){
case 1: ntcol = (arch >= 600) ? 8: 32 ; break;
case 2: ntcol = (arch >= 600) ? 4: 16 ; break;
case 3: ntcol = (arch >= 600) ? 3: 8 ; break;
case 4: ntcol = (arch >= 600) ? 3: 16 ; break;
case 5: ntcol = (arch >= 600) ? 2: 8 ; break;
case 6: ntcol = (arch >= 600) ? 2: 4 ; break;
case 7: ntcol = (arch >= 600) ? 2: 4 ; break;
case 8: ntcol = (arch >= 600) ? 32: 32 ; break;
case 9: ntcol = (arch >= 600) ? 16: 4 ; break;
case 10: ntcol = (arch >= 600) ? 14: 4 ; break;
case 11: ntcol = (arch >= 600) ? 10: 8 ; break;
case 12: ntcol = (arch >= 600) ? 12: 8 ; break;
case 13: ntcol = (arch >= 600) ? 12: 8 ; break;
case 14: ntcol = (arch >= 600) ? 14: 8 ; break;
case 15: ntcol = (arch >= 600) ? 8: 8 ; break;
case 16: ntcol = (arch >= 600) ? 10: 8 ; break;
case 17: ntcol = (arch >= 600) ? 5: 4 ; break;
case 18: ntcol = (arch >= 600) ? 4: 4 ; break;
case 19: ntcol = (arch >= 600) ? 4: 16 ; break;
case 20: ntcol = (arch >= 600) ? 4: 16 ; break;
case 21: ntcol = (arch >= 600) ? 4: 16 ; break;
case 22: ntcol = (arch >= 600) ? 4: 4 ; break;
case 23: ntcol = (arch >= 600) ? 4: 4 ; break;
case 24: ntcol = (arch >= 600) ? 4: 4 ; break;
case 25: ntcol = (arch >= 600) ? 4: 4 ; break;
case 26: ntcol = (arch >= 600) ? 4: 4 ; break;
case 27: ntcol = (arch >= 600) ? 4: 4 ; break;
case 28: ntcol = (arch >= 600) ? 4: 4 ; break;
case 29: ntcol = (arch >= 600) ? 4: 4 ; break;
case 30: ntcol = (arch >= 600) ? 4: 4 ; break;
case 31: ntcol = (arch >= 600) ? 2: 4 ; break;
case 32: ntcol = (arch >= 600) ? 2: 4 ; break;
default: ntcol = 1;
}
}
return ntcol;
}
/// @see magma_get_zgetri_batched_ntcol
magma_int_t magma_get_sgetri_batched_ntcol(magma_int_t m, magma_int_t n)
{
// TODO: conduct tuning experiment for ntcol on Kepler
magma_int_t arch = magma_getdevice_arch();
magma_int_t ntcol = 1;
if(m == n ){
switch(m){
case 1: ntcol = (arch >= 600) ? 9 : 32 ; break;
case 2: ntcol = (arch >= 600) ? 4 : 16 ; break;
case 3: ntcol = (arch >= 600) ? 3 : 8 ; break;
case 4: ntcol = (arch >= 600) ? 4 : 8 ; break;
case 5: ntcol = (arch >= 600) ? 4 : 8 ; break;
case 6: ntcol = (arch >= 600) ? 3 : 8 ; break;
case 7: ntcol = (arch >= 600) ? 3 : 8 ; break;
case 8: ntcol = (arch >= 600) ? 14 : 32 ; break;
case 9: ntcol = (arch >= 600) ? 16 : 8 ; break;
case 10: ntcol = (arch >= 600) ? 16 : 16 ; break;
case 11: ntcol = (arch >= 600) ? 32 : 8 ; break;
case 12: ntcol = (arch >= 600) ? 32 : 8 ; break;
case 13: ntcol = (arch >= 600) ? 32 : 8 ; break;
case 14: ntcol = (arch >= 600) ? 16 : 8 ; break;
case 15: ntcol = (arch >= 600) ? 14 : 8 ; break;
case 16: ntcol = (arch >= 600) ? 16 : 8 ; break;
case 17: ntcol = (arch >= 600) ? 9 : 4 ; break;
case 18: ntcol = (arch >= 600) ? 9 : 4 ; break;
case 19: ntcol = (arch >= 600) ? 9 : 4 ; break;
case 20: ntcol = (arch >= 600) ? 8 : 8 ; break;
case 21: ntcol = (arch >= 600) ? 4 : 4 ; break;
case 22: ntcol = (arch >= 600) ? 4 : 4 ; break;
case 23: ntcol = (arch >= 600) ? 8 : 4 ; break;
case 24: ntcol = (arch >= 600) ? 8 : 4 ; break;
case 25: ntcol = (arch >= 600) ? 4 : 4 ; break;
case 26: ntcol = (arch >= 600) ? 4 : 8 ; break;
case 27: ntcol = (arch >= 600) ? 4 : 8 ; break;
case 28: ntcol = (arch >= 600) ? 4 : 8 ; break;
case 29: ntcol = (arch >= 600) ? 4 : 4 ; break;
case 30: ntcol = (arch >= 600) ? 4 : 4 ; break;
case 31: ntcol = (arch >= 600) ? 4 : 4 ; break;
case 32: ntcol = (arch >= 600) ? 4 : 4 ; break;
default: ntcol = 1;
}
}
return ntcol;
}
/***************************************************************************//**
@return the stop nb value for recursive batched trsm
*******************************************************************************/
magma_int_t magma_get_ztrsm_batched_stop_nb(magma_side_t side, magma_int_t m, magma_int_t n)
{
if(side == MagmaLeft){
if (m <= 2) return 2;
else if(m <= 4) return 4;
else if(m <= 8) return 8;
else{
if(n <= 32) return 16;
else return 8;
}
}else{ // side = MagmaRight
if(n <= 2) return 2;
else return 8;
}
}
/// @see magma_get_ztrsm_batched_stop_nb
magma_int_t magma_get_ctrsm_batched_stop_nb(magma_side_t side, magma_int_t m, magma_int_t n)
{
if(side == MagmaLeft){
if(m <= 8) return 8;
else return 16;
}else{ // side = MagmaRight
if(n <= 4) return 4;
else return 16;
}
}
/// @see magma_get_ztrsm_batched_stop_nb
magma_int_t magma_get_dtrsm_batched_stop_nb(magma_side_t side, magma_int_t m, magma_int_t n)
{
if(side == MagmaLeft){
if (m <= 2) return 8;
else if(m <= 4) return 16;
else return 32;
}else{ // side = MagmaRight
if(n <= 4) return 4;
else return 32;
}
}
/// @see magma_get_ztrsm_batched_stop_nb
magma_int_t magma_get_strsm_batched_stop_nb(magma_side_t side, magma_int_t m, magma_int_t n)
{
if(side == MagmaLeft){
return 16;
}else{ // side = MagmaRight
if (n <= 4) return 4;
else if(n <= 8) return 8;
else return 32;
}
}
// =============================================================================
/// @}
// end group magma_tuning
#endif // HAVE_CUBLAS
#ifdef __cplusplus
} // extern "C"
#endif
|
