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hugewiki.cu
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/*
* hugewiki.cu
*
* Created on: Feb 10, 2015
* Author: Wei Tan ([email protected])
* Alternating Least Square for Matrix Factorization on CUDA 7.0+
* Code optimized for F = 100, and on cc 3.5, 3.7 platforms. Also tested in cc 5.2
*/
#include <cstdio>
#include <cstdlib>
#include <cuda_runtime.h>
#include <cublas_v2.h>
#include <iostream>
#include <fstream>
#include <sys/time.h>
#include <cusparse.h>
#include <host_defines.h>
#include <stdlib.h>
#include <stdio.h>
#include <omp.h>
#include <string>
#include <sstream>
#include "./common.h"
#include "../als.h"
#include "../cg.h"
//variable definition
#define F 100
#define TILE_SIZE F/10
#define SCAN_BATCH 30
#define THETA_BATCH 3
#define X_BATCH 240
#define ITERS 10
#define M 50082603
#define N 39780
#define NNZ 3101144313
#define NNZ_TEST 344573330
//0.05 when use both "full" kernels
#define LAMBDA 0.048
//hardware specific
#define GPU_COUNT 4
#define DEVICEID 0 // the anchor device
//debug option to save model
//#define CUMF_SAVE_MODEL
//#define CUMF_TT_FP16
using namespace std;
void saveDeviceFloatArrayToFile(string fileName, int size, float* d_array){
float* h_array;
cudacall(cudaMallocHost( (void** ) &h_array, size * sizeof(h_array[0])) );
cudacall(cudaMemcpy(h_array, d_array, size * sizeof(h_array[0]),cudaMemcpyDeviceToHost));
FILE * outfile = fopen(fileName.c_str(), "wb");
fwrite(h_array, sizeof(float), size, outfile);
fclose(outfile);
cudaFreeHost(h_array);
}
__global__ void
__launch_bounds__(64, 6)
get_hermitian100_tt_fp16(const int batch_offset, half2* tt,
const int* csrRowIndex, const int* csrColIndex, const float lambda, const int m,
const float* __restrict__ thetaT) {
extern __shared__ float2 thetaTemp[];
int row = blockIdx.x + batch_offset;
if (row < m) {
//this block needs to handle end - start thetaT columns
int start = csrRowIndex[row];
int end = csrRowIndex[row + 1];
//slide through [start, end] by window size SCAN_BATCH
int iterations = (end - start - 1)/SCAN_BATCH + 1;
float temp0= 0, temp1= 0, temp2= 0, temp3= 0, temp4= 0, temp5= 0, temp6= 0, temp7= 0, temp8= 0, temp9 = 0;
float temp10= 0, temp11= 0, temp12= 0, temp13= 0, temp14= 0, temp15= 0, temp16= 0, temp17= 0, temp18= 0, temp19 = 0;
float temp20= 0, temp21= 0, temp22= 0, temp23= 0, temp24= 0, temp25= 0, temp26= 0, temp27= 0, temp28= 0, temp29 = 0;
float temp30= 0, temp31= 0, temp32= 0, temp33= 0, temp34= 0, temp35= 0, temp36= 0, temp37= 0, temp38= 0, temp39 = 0;
float temp40= 0, temp41= 0, temp42= 0, temp43= 0, temp44= 0, temp45= 0, temp46= 0, temp47= 0, temp48= 0, temp49 = 0;
float temp50= 0, temp51= 0, temp52= 0, temp53= 0, temp54= 0, temp55= 0, temp56= 0, temp57= 0, temp58= 0, temp59 = 0;
float temp60= 0, temp61= 0, temp62= 0, temp63= 0, temp64= 0, temp65= 0, temp66= 0, temp67= 0, temp68= 0, temp69 = 0;
float temp70= 0, temp71= 0, temp72= 0, temp73= 0, temp74= 0, temp75= 0, temp76= 0, temp77= 0, temp78= 0, temp79 = 0;
float temp80= 0, temp81= 0, temp82= 0, temp83= 0, temp84= 0, temp85= 0, temp86= 0, temp87= 0, temp88= 0, temp89 = 0;
float temp90= 0, temp91= 0, temp92= 0, temp93= 0, temp94= 0, temp95= 0, temp96= 0, temp97= 0, temp98= 0, temp99 = 0;
int tile_x = 0;
int tile_y = 0;
int tile = F/10;
for ( int i = 0; i < 10; i++){
int end = ((20-i)*(i+1))/2;
if(threadIdx.x < end){
tile_x = i * tile;
tile_y = (10 + threadIdx.x - end) * tile;
break;
}
}
//iteration: copy gmem-->smem; aggregate smem-->register
for (int iter = 0; iter < iterations; iter ++){
float2 theta;
//copy texture --> smem, and sync
/*
if(threadIdx.x < SCAN_BATCH){
if(iter*SCAN_BATCH + threadIdx.x < end - start){
for (int k = 0; k < F; k += 2){
theta.x = tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + threadIdx.x] + k);
theta.y = tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + threadIdx.x] + k+1);
thetaTemp[threadIdx.x * F/2 + k/2] = theta;
}
}
//must be the last iteration; no need to check
//not enough theta to copy, set zero
else
memset(&thetaTemp[threadIdx.x*F/2], 0, F*sizeof(float));
}
*/
//two layers: warp divergence unless we split at 32
//require 32 >= SCAN_BATCH
if(threadIdx.x < 2*32 ){
//int index = threadIdx.x;
int index = threadIdx.x - (threadIdx.x/32)*32; //0 to 31;
if(index < SCAN_BATCH){
if(iter*SCAN_BATCH + index < end - start){
//for (int k = 50*(threadIdx.x/32); k < 50*(threadIdx.x/32) + 50; k += 2){
//IMPORTANT: for loop has constant and identical start and end
if(threadIdx.x < 32){
for (int k = 0; k < 50; k += 2){
theta.x = __ldg(&thetaT[ F * csrColIndex[start + iter*SCAN_BATCH + index] + k]);
theta.y = __ldg(&thetaT[ F * csrColIndex[start + iter*SCAN_BATCH + index] + k+1]);
thetaTemp[index * F/2 + k/2] = theta;
}
}
else {
for (int k = 0; k < 50; k += 2){
theta.x = __ldg(&thetaT[ F * csrColIndex[start + iter*SCAN_BATCH + index] + k + 50]);
theta.y = __ldg(&thetaT[ F * csrColIndex[start + iter*SCAN_BATCH + index] + k + 51]);
thetaTemp[index * F/2 + k/2 + 25] = theta;
}
}
}
//must be the last iteration; no need to check
//not enough theta to copy, set zero
else
memset(&thetaTemp[index*F/2], 0, F*sizeof(float));
}
}
/* //issue: not coalesced access to csrColIndex
if(threadIdx.x < F && threadIdx.x%2 == 0){
for(int k = 0; k< SCAN_BATCH; k++){
if(iter*SCAN_BATCH + k < end - start){
theta.x = tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + k] + threadIdx.x);
theta.y = tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + k] + threadIdx.x +1);
thetaTemp[k * F/2 + threadIdx.x/2] = theta;
}
//must be the last iteration; no need to check
//not enough theta to copy, set zero
else
memset(&thetaTemp[k*F/2 + threadIdx.x/2], 0, 2*sizeof(float));
}
}
*/
/*
int layers = blockDim.x/SCAN_BATCH; //100/30 = 3
//int height = blockDim.x/layers; //30
int y = threadIdx.x/SCAN_BATCH;//0,1,2,3; y==3 is not viable
//min(y, (layers-1)) * height
int y_start = y * 30;//0-29:0;30-59:30;60-89:60
int y_end = y_start + 30; //0-29:30;30-59:60;60-89:90
if(y >= layers - 1) y_end = F; //60-89:100
if(threadIdx.x - y_start < SCAN_BATCH){
if(iter*SCAN_BATCH + (threadIdx.x - y_start) < end - start){
for (int k = y_start; k < y_end; k += 2){
theta.x =
tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + (threadIdx.x - y_start)] + k);
theta.y =
tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + (threadIdx.x - y_start)] + k+1);
thetaTemp[(threadIdx.x - y_start)* F/2 + k/2] = theta;
}
}
//must be the last iteration; no need to check
//not enough theta to copy, set zero
else
memset(&thetaTemp[(threadIdx.x - y_start)*F/2 + y_start/2], 0, (y_end - y_start)*sizeof(float));
}
*/
__syncthreads();
//tile: 10*10
if(threadIdx.x < 55 ){
for(int k = 0; k < SCAN_BATCH; k++){
accumulate_in_registers();
}
}
}
//end of iteration in copying from smem and aggregating in register
__syncthreads();
#ifdef DEBUG
//if(threadIdx.x==0)
// printf("***temp 0~9: %f %f %f %f %f %f %f %f %f %f\n", temp0, temp1, temp2, temp3, temp4, temp5, temp6, temp7, temp8, temp9);
#endif
if(threadIdx.x < 55 ){
//weighted-lambda regularization
if(tile_x == tile_y){
float temp = (end - start) * lambda;
temp0 += temp;
temp11 += temp;
temp22 += temp;
temp33 += temp;
temp44 += temp;
temp55 += temp;
temp66 += temp;
temp77 += temp;
temp88 += temp;
temp99 += temp;
}
//copy output to gmem
int index = blockIdx.x*F*F/2;
//fill_lower_half_from_registers();
fill_lower_half_from_registers_fp16();
//symmetric
if(tile_x!=tile_y){
//fill_upper_half_from_registers();
fill_upper_half_from_registers_fp16();
}
}
}
}
__global__ void
__launch_bounds__(64, 6)
get_hermitian100(const int batch_offset, float* tt, const int* csrRowIndex, const int* csrColIndex, const float lambda, const int m, const float* __restrict__ thetaT) {
extern __shared__ float2 thetaTemp[];
int row = blockIdx.x + batch_offset;
if (row < m) {
//this block needs to handle end - start thetaT columns
int start = csrRowIndex[row];
int end = csrRowIndex[row + 1];
//slide through [start, end] by window size SCAN_BATCH
int iterations = (end - start - 1)/SCAN_BATCH + 1;
float temp0= 0, temp1= 0, temp2= 0, temp3= 0, temp4= 0, temp5= 0, temp6= 0, temp7= 0, temp8= 0, temp9 = 0;
float temp10= 0, temp11= 0, temp12= 0, temp13= 0, temp14= 0, temp15= 0, temp16= 0, temp17= 0, temp18= 0, temp19 = 0;
float temp20= 0, temp21= 0, temp22= 0, temp23= 0, temp24= 0, temp25= 0, temp26= 0, temp27= 0, temp28= 0, temp29 = 0;
float temp30= 0, temp31= 0, temp32= 0, temp33= 0, temp34= 0, temp35= 0, temp36= 0, temp37= 0, temp38= 0, temp39 = 0;
float temp40= 0, temp41= 0, temp42= 0, temp43= 0, temp44= 0, temp45= 0, temp46= 0, temp47= 0, temp48= 0, temp49 = 0;
float temp50= 0, temp51= 0, temp52= 0, temp53= 0, temp54= 0, temp55= 0, temp56= 0, temp57= 0, temp58= 0, temp59 = 0;
float temp60= 0, temp61= 0, temp62= 0, temp63= 0, temp64= 0, temp65= 0, temp66= 0, temp67= 0, temp68= 0, temp69 = 0;
float temp70= 0, temp71= 0, temp72= 0, temp73= 0, temp74= 0, temp75= 0, temp76= 0, temp77= 0, temp78= 0, temp79 = 0;
float temp80= 0, temp81= 0, temp82= 0, temp83= 0, temp84= 0, temp85= 0, temp86= 0, temp87= 0, temp88= 0, temp89 = 0;
float temp90= 0, temp91= 0, temp92= 0, temp93= 0, temp94= 0, temp95= 0, temp96= 0, temp97= 0, temp98= 0, temp99 = 0;
int tile_x = 0;
int tile_y = 0;
int tile = F/10;
for ( int i = 0; i < 10; i++){
int end = ((20-i)*(i+1))/2;
if(threadIdx.x < end){
tile_x = i * tile;
tile_y = (10 + threadIdx.x - end) * tile;
break;
}
}
//iteration: copy gmem-->smem; aggregate smem-->register
for (int iter = 0; iter < iterations; iter ++){
float2 theta;
//copy texture --> smem, and sync
/*
if(threadIdx.x < SCAN_BATCH){
if(iter*SCAN_BATCH + threadIdx.x < end - start){
for (int k = 0; k < F; k += 2){
theta.x = tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + threadIdx.x] + k);
theta.y = tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + threadIdx.x] + k+1);
thetaTemp[threadIdx.x * F/2 + k/2] = theta;
}
}
//must be the last iteration; no need to check
//not enough theta to copy, set zero
else
memset(&thetaTemp[threadIdx.x*F/2], 0, F*sizeof(float));
}
*/
//two layers: warp divergence unless we split at 32
//require 32 >= SCAN_BATCH
if(threadIdx.x < 2*32 ){
//int index = threadIdx.x;
int index = threadIdx.x - (threadIdx.x/32)*32; //0 to 31;
if(index < SCAN_BATCH){
if(iter*SCAN_BATCH + index < end - start){
//for (int k = 50*(threadIdx.x/32); k < 50*(threadIdx.x/32) + 50; k += 2){
//IMPORTANT: for loop has constant and identical start and end
if(threadIdx.x < 32){
for (int k = 0; k < 50; k += 2){
theta.x = __ldg(&thetaT[ F * csrColIndex[start + iter*SCAN_BATCH + index] + k]);
theta.y = __ldg(&thetaT[ F * csrColIndex[start + iter*SCAN_BATCH + index] + k+1]);
thetaTemp[index * F/2 + k/2] = theta;
}
}
else {
for (int k = 0; k < 50; k += 2){
theta.x = __ldg(&thetaT[ F * csrColIndex[start + iter*SCAN_BATCH + index] + k + 50]);
theta.y = __ldg(&thetaT[ F * csrColIndex[start + iter*SCAN_BATCH + index] + k + 51]);
thetaTemp[index * F/2 + k/2 + 25] = theta;
}
}
}
//must be the last iteration; no need to check
//not enough theta to copy, set zero
else
memset(&thetaTemp[index*F/2], 0, F*sizeof(float));
}
}
/* //issue: not coalesced access to csrColIndex
if(threadIdx.x < F && threadIdx.x%2 == 0){
for(int k = 0; k< SCAN_BATCH; k++){
if(iter*SCAN_BATCH + k < end - start){
theta.x = tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + k] + threadIdx.x);
theta.y = tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + k] + threadIdx.x +1);
thetaTemp[k * F/2 + threadIdx.x/2] = theta;
}
//must be the last iteration; no need to check
//not enough theta to copy, set zero
else
memset(&thetaTemp[k*F/2 + threadIdx.x/2], 0, 2*sizeof(float));
}
}
*/
/*
int layers = blockDim.x/SCAN_BATCH; //100/30 = 3
//int height = blockDim.x/layers; //30
int y = threadIdx.x/SCAN_BATCH;//0,1,2,3; y==3 is not viable
//min(y, (layers-1)) * height
int y_start = y * 30;//0-29:0;30-59:30;60-89:60
int y_end = y_start + 30; //0-29:30;30-59:60;60-89:90
if(y >= layers - 1) y_end = F; //60-89:100
if(threadIdx.x - y_start < SCAN_BATCH){
if(iter*SCAN_BATCH + (threadIdx.x - y_start) < end - start){
for (int k = y_start; k < y_end; k += 2){
theta.x =
tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + (threadIdx.x - y_start)] + k);
theta.y =
tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + (threadIdx.x - y_start)] + k+1);
thetaTemp[(threadIdx.x - y_start)* F/2 + k/2] = theta;
}
}
//must be the last iteration; no need to check
//not enough theta to copy, set zero
else
memset(&thetaTemp[(threadIdx.x - y_start)*F/2 + y_start/2], 0, (y_end - y_start)*sizeof(float));
}
*/
__syncthreads();
//tile: 10*10
if(threadIdx.x < 55 ){
for(int k = 0; k < SCAN_BATCH; k++){
accumulate_in_registers();
}
}
}
//end of iteration in copying from smem and aggregating in register
__syncthreads();
#ifdef DEBUG
//if(threadIdx.x==0)
// printf("***temp 0~9: %f %f %f %f %f %f %f %f %f %f\n", temp0, temp1, temp2, temp3, temp4, temp5, temp6, temp7, temp8, temp9);
#endif
if(threadIdx.x < 55 ){
//copy output to gmem
int index = blockIdx.x*F*F;
fill_lower_half_from_registers();
//symmetric
if(tile_x!=tile_y){
fill_upper_half_from_registers();
}
//regularization
if(tile_x == tile_y){
for(int k = 0; k < tile; k++)
tt[index + (tile_x+k)*(1+F)] += (end - start) * lambda;
}
}
}
}
//split a big csr into many by rows. the row id of sub-matrices need to be changed
//inval = inval - inval[0]
__global__ void zeroIndex(int * inVal, const unsigned int inVal_0, const int size) {
int i = blockDim.x*blockIdx.x + threadIdx.x;
if(i < size){
inVal[i] = (unsigned)inVal[i] - inVal_0;
}
}
texture<float> xTTexRef;
texture<float> thetaTTexRef;
__global__ void
__launch_bounds__(100, 4)
updateThetaByBlock2pRegDsmemTile(float * xx, const int* cscRowIndex,
const int* cscColIndex, const float lambda, const float * XT) {
__shared__ float2 xTemp[SCAN_BATCH * F/2];
int col = blockIdx.x;
if (col < N) {
//this block needs to handle end - start XT columns
int start = cscColIndex[col];
int end = cscColIndex[col + 1];
int iterations = (end - start -1)/SCAN_BATCH + 1;
float temp0= 0, temp1= 0, temp2= 0, temp3= 0, temp4= 0, temp5= 0, temp6= 0, temp7= 0, temp8= 0, temp9 = 0;
float temp10= 0, temp11= 0, temp12= 0, temp13= 0, temp14= 0, temp15= 0, temp16= 0, temp17= 0, temp18= 0, temp19 = 0;
float temp20= 0, temp21= 0, temp22= 0, temp23= 0, temp24= 0, temp25= 0, temp26= 0, temp27= 0, temp28= 0, temp29 = 0;
float temp30= 0, temp31= 0, temp32= 0, temp33= 0, temp34= 0, temp35= 0, temp36= 0, temp37= 0, temp38= 0, temp39 = 0;
float temp40= 0, temp41= 0, temp42= 0, temp43= 0, temp44= 0, temp45= 0, temp46= 0, temp47= 0, temp48= 0, temp49 = 0;
float temp50= 0, temp51= 0, temp52= 0, temp53= 0, temp54= 0, temp55= 0, temp56= 0, temp57= 0, temp58= 0, temp59 = 0;
float temp60= 0, temp61= 0, temp62= 0, temp63= 0, temp64= 0, temp65= 0, temp66= 0, temp67= 0, temp68= 0, temp69 = 0;
float temp70= 0, temp71= 0, temp72= 0, temp73= 0, temp74= 0, temp75= 0, temp76= 0, temp77= 0, temp78= 0, temp79 = 0;
float temp80= 0, temp81= 0, temp82= 0, temp83= 0, temp84= 0, temp85= 0, temp86= 0, temp87= 0, temp88= 0, temp89 = 0;
float temp90= 0, temp91= 0, temp92= 0, temp93= 0, temp94= 0, temp95= 0, temp96= 0, temp97= 0, temp98= 0, temp99 = 0;
float2 x;
int tile = F/10;
int tile_x = (threadIdx.x/tile) * tile;//start x of this tile
int tile_y = (threadIdx.x%tile) * tile;//start y of this tile
for (int iter = 0; iter < iterations; iter ++){
//copy texture --> smem, and sync
if(threadIdx.x < SCAN_BATCH){
if(iter*SCAN_BATCH + threadIdx.x < end - start){
for (int k = 0; k < F; k += 2){
x.x =
XT[ F * cscRowIndex[start + iter*SCAN_BATCH + threadIdx.x] + k ];
x.y =
XT [ F * cscRowIndex[start + iter*SCAN_BATCH + threadIdx.x] + k+1 ];
xTemp[threadIdx.x * F/2 + k/2] = x;
}
}
//must be the last iteration; no need to check
//not enough theta to copy, set zero
else
memset(&xTemp[threadIdx.x*F/2], 0, F*sizeof(float));
}
__syncthreads();
///////////////////////////////////////////////////////////////////////////////////////////////////////////
//tile: 10*10
for(int k = 0; k < SCAN_BATCH; k++){
temp0 += xTemp[tile_x/2 + k*F/2].x * xTemp[tile_y/2 + k*F/2].x;
temp1 += xTemp[tile_x/2 + k*F/2].x * xTemp[tile_y/2 + k*F/2].y;
temp2 += xTemp[tile_x/2 + k*F/2].x * xTemp[tile_y/2 +1 + k*F/2].x;
temp3 += xTemp[tile_x/2 + k*F/2].x * xTemp[tile_y/2 +1 + k*F/2].y;
temp4 += xTemp[tile_x/2 + k*F/2].x * xTemp[tile_y/2 +2 + k*F/2].x;
temp5 += xTemp[tile_x/2 + k*F/2].x * xTemp[tile_y/2 +2 + k*F/2].y;
temp6 += xTemp[tile_x/2 + k*F/2].x * xTemp[tile_y/2 +3 + k*F/2].x;
temp7 += xTemp[tile_x/2 + k*F/2].x * xTemp[tile_y/2 +3 + k*F/2].y;
temp8 += xTemp[tile_x/2 + k*F/2].x * xTemp[tile_y/2 +4 + k*F/2].x;
temp9 += xTemp[tile_x/2 + k*F/2].x * xTemp[tile_y/2 +4 + k*F/2].y;
temp10 += xTemp[tile_x/2 + k*F/2].y * xTemp[tile_y/2 + k*F/2].x;
temp11 += xTemp[tile_x/2 + k*F/2].y * xTemp[tile_y/2 + k*F/2].y;
temp12 += xTemp[tile_x/2 + k*F/2].y * xTemp[tile_y/2 +1 + k*F/2].x;
temp13 += xTemp[tile_x/2 + k*F/2].y * xTemp[tile_y/2 +1 + k*F/2].y;
temp14 += xTemp[tile_x/2 + k*F/2].y * xTemp[tile_y/2 +2 + k*F/2].x;
temp15 += xTemp[tile_x/2 + k*F/2].y * xTemp[tile_y/2 +2 + k*F/2].y;
temp16 += xTemp[tile_x/2 + k*F/2].y * xTemp[tile_y/2 +3 + k*F/2].x;
temp17 += xTemp[tile_x/2 + k*F/2].y * xTemp[tile_y/2 +3 + k*F/2].y;
temp18 += xTemp[tile_x/2 + k*F/2].y * xTemp[tile_y/2 +4 + k*F/2].x;
temp19 += xTemp[tile_x/2 + k*F/2].y * xTemp[tile_y/2 +4 + k*F/2].y;
temp20 += xTemp[tile_x/2 +1 + k*F/2].x * xTemp[tile_y/2 + k*F/2].x;
temp21 += xTemp[tile_x/2 +1 + k*F/2].x * xTemp[tile_y/2 + k*F/2].y;
temp22 += xTemp[tile_x/2 +1 + k*F/2].x * xTemp[tile_y/2 +1 + k*F/2].x;
temp23 += xTemp[tile_x/2 +1 + k*F/2].x * xTemp[tile_y/2 +1 + k*F/2].y;
temp24 += xTemp[tile_x/2 +1 + k*F/2].x * xTemp[tile_y/2 +2 + k*F/2].x;
temp25 += xTemp[tile_x/2 +1 + k*F/2].x * xTemp[tile_y/2 +2 + k*F/2].y;
temp26 += xTemp[tile_x/2 +1 + k*F/2].x * xTemp[tile_y/2 +3 + k*F/2].x;
temp27 += xTemp[tile_x/2 +1 + k*F/2].x * xTemp[tile_y/2 +3 + k*F/2].y;
temp28 += xTemp[tile_x/2 +1 + k*F/2].x * xTemp[tile_y/2 +4 + k*F/2].x;
temp29 += xTemp[tile_x/2 +1 + k*F/2].x * xTemp[tile_y/2 +4 + k*F/2].y;
temp30 += xTemp[tile_x/2 +1 + k*F/2].y * xTemp[tile_y/2 + k*F/2].x;
temp31 += xTemp[tile_x/2 +1 + k*F/2].y * xTemp[tile_y/2 + k*F/2].y;
temp32 += xTemp[tile_x/2 +1 + k*F/2].y * xTemp[tile_y/2 +1 + k*F/2].x;
temp33 += xTemp[tile_x/2 +1 + k*F/2].y * xTemp[tile_y/2 +1 + k*F/2].y;
temp34 += xTemp[tile_x/2 +1 + k*F/2].y * xTemp[tile_y/2 +2 + k*F/2].x;
temp35 += xTemp[tile_x/2 +1 + k*F/2].y * xTemp[tile_y/2 +2 + k*F/2].y;
temp36 += xTemp[tile_x/2 +1 + k*F/2].y * xTemp[tile_y/2 +3 + k*F/2].x;
temp37 += xTemp[tile_x/2 +1 + k*F/2].y * xTemp[tile_y/2 +3 + k*F/2].y;
temp38 += xTemp[tile_x/2 +1 + k*F/2].y * xTemp[tile_y/2 +4 + k*F/2].x;
temp39 += xTemp[tile_x/2 +1 + k*F/2].y * xTemp[tile_y/2 +4 + k*F/2].y;
temp40 += xTemp[tile_x/2 +2 + k*F/2].x * xTemp[tile_y/2 + k*F/2].x;
temp41 += xTemp[tile_x/2 +2 + k*F/2].x * xTemp[tile_y/2 + k*F/2].y;
temp42 += xTemp[tile_x/2 +2 + k*F/2].x * xTemp[tile_y/2 +1 + k*F/2].x;
temp43 += xTemp[tile_x/2 +2 + k*F/2].x * xTemp[tile_y/2 +1 + k*F/2].y;
temp44 += xTemp[tile_x/2 +2 + k*F/2].x * xTemp[tile_y/2 +2 + k*F/2].x;
temp45 += xTemp[tile_x/2 +2 + k*F/2].x * xTemp[tile_y/2 +2 + k*F/2].y;
temp46 += xTemp[tile_x/2 +2 + k*F/2].x * xTemp[tile_y/2 +3 + k*F/2].x;
temp47 += xTemp[tile_x/2 +2 + k*F/2].x * xTemp[tile_y/2 +3 + k*F/2].y;
temp48 += xTemp[tile_x/2 +2 + k*F/2].x * xTemp[tile_y/2 +4 + k*F/2].x;
temp49 += xTemp[tile_x/2 +2 + k*F/2].x * xTemp[tile_y/2 +4 + k*F/2].y;
temp50 += xTemp[tile_x/2 +2 + k*F/2].y * xTemp[tile_y/2 + k*F/2].x;
temp51 += xTemp[tile_x/2 +2 + k*F/2].y * xTemp[tile_y/2 + k*F/2].y;
temp52 += xTemp[tile_x/2 +2 + k*F/2].y * xTemp[tile_y/2 +1 + k*F/2].x;
temp53 += xTemp[tile_x/2 +2 + k*F/2].y * xTemp[tile_y/2 +1 + k*F/2].y;
temp54 += xTemp[tile_x/2 +2 + k*F/2].y * xTemp[tile_y/2 +2 + k*F/2].x;
temp55 += xTemp[tile_x/2 +2 + k*F/2].y * xTemp[tile_y/2 +2 + k*F/2].y;
temp56 += xTemp[tile_x/2 +2 + k*F/2].y * xTemp[tile_y/2 +3 + k*F/2].x;
temp57 += xTemp[tile_x/2 +2 + k*F/2].y * xTemp[tile_y/2 +3 + k*F/2].y;
temp58 += xTemp[tile_x/2 +2 + k*F/2].y * xTemp[tile_y/2 +4 + k*F/2].x;
temp59 += xTemp[tile_x/2 +2 + k*F/2].y * xTemp[tile_y/2 +4 + k*F/2].y;
temp60 += xTemp[tile_x/2 +3 + k*F/2].x * xTemp[tile_y/2 + k*F/2].x;
temp61 += xTemp[tile_x/2 +3 + k*F/2].x * xTemp[tile_y/2 + k*F/2].y;
temp62 += xTemp[tile_x/2 +3 + k*F/2].x * xTemp[tile_y/2 +1 + k*F/2].x;
temp63 += xTemp[tile_x/2 +3 + k*F/2].x * xTemp[tile_y/2 +1 + k*F/2].y;
temp64 += xTemp[tile_x/2 +3 + k*F/2].x * xTemp[tile_y/2 +2 + k*F/2].x;
temp65 += xTemp[tile_x/2 +3 + k*F/2].x * xTemp[tile_y/2 +2 + k*F/2].y;
temp66 += xTemp[tile_x/2 +3 + k*F/2].x * xTemp[tile_y/2 +3 + k*F/2].x;
temp67 += xTemp[tile_x/2 +3 + k*F/2].x * xTemp[tile_y/2 +3 + k*F/2].y;
temp68 += xTemp[tile_x/2 +3 + k*F/2].x * xTemp[tile_y/2 +4 + k*F/2].x;
temp69 += xTemp[tile_x/2 +3 + k*F/2].x * xTemp[tile_y/2 +4 + k*F/2].y;
temp70 += xTemp[tile_x/2 +3 + k*F/2].y * xTemp[tile_y/2 + k*F/2].x;
temp71 += xTemp[tile_x/2 +3 + k*F/2].y * xTemp[tile_y/2 + k*F/2].y;
temp72 += xTemp[tile_x/2 +3 + k*F/2].y * xTemp[tile_y/2 +1 + k*F/2].x;
temp73 += xTemp[tile_x/2 +3 + k*F/2].y * xTemp[tile_y/2 +1 + k*F/2].y;
temp74 += xTemp[tile_x/2 +3 + k*F/2].y * xTemp[tile_y/2 +2 + k*F/2].x;
temp75 += xTemp[tile_x/2 +3 + k*F/2].y * xTemp[tile_y/2 +2 + k*F/2].y;
temp76 += xTemp[tile_x/2 +3 + k*F/2].y * xTemp[tile_y/2 +3 + k*F/2].x;
temp77 += xTemp[tile_x/2 +3 + k*F/2].y * xTemp[tile_y/2 +3 + k*F/2].y;
temp78 += xTemp[tile_x/2 +3 + k*F/2].y * xTemp[tile_y/2 +4 + k*F/2].x;
temp79 += xTemp[tile_x/2 +3 + k*F/2].y * xTemp[tile_y/2 +4 + k*F/2].y;
temp80 += xTemp[tile_x/2 +4 + k*F/2].x * xTemp[tile_y/2 + k*F/2].x;
temp81 += xTemp[tile_x/2 +4 + k*F/2].x * xTemp[tile_y/2 + k*F/2].y;
temp82 += xTemp[tile_x/2 +4 + k*F/2].x * xTemp[tile_y/2 +1 + k*F/2].x;
temp83 += xTemp[tile_x/2 +4 + k*F/2].x * xTemp[tile_y/2 +1 + k*F/2].y;
temp84 += xTemp[tile_x/2 +4 + k*F/2].x * xTemp[tile_y/2 +2 + k*F/2].x;
temp85 += xTemp[tile_x/2 +4 + k*F/2].x * xTemp[tile_y/2 +2 + k*F/2].y;
temp86 += xTemp[tile_x/2 +4 + k*F/2].x * xTemp[tile_y/2 +3 + k*F/2].x;
temp87 += xTemp[tile_x/2 +4 + k*F/2].x * xTemp[tile_y/2 +3 + k*F/2].y;
temp88 += xTemp[tile_x/2 +4 + k*F/2].x * xTemp[tile_y/2 +4 + k*F/2].x;
temp89 += xTemp[tile_x/2 +4 + k*F/2].x * xTemp[tile_y/2 +4 + k*F/2].y;
temp90 += xTemp[tile_x/2 +4 + k*F/2].y * xTemp[tile_y/2 + k*F/2].x;
temp91 += xTemp[tile_x/2 +4 + k*F/2].y * xTemp[tile_y/2 + k*F/2].y;
temp92 += xTemp[tile_x/2 +4 + k*F/2].y * xTemp[tile_y/2 +1 + k*F/2].x;
temp93 += xTemp[tile_x/2 +4 + k*F/2].y * xTemp[tile_y/2 +1 + k*F/2].y;
temp94 += xTemp[tile_x/2 +4 + k*F/2].y * xTemp[tile_y/2 +2 + k*F/2].x;
temp95 += xTemp[tile_x/2 +4 + k*F/2].y * xTemp[tile_y/2 +2 + k*F/2].y;
temp96 += xTemp[tile_x/2 +4 + k*F/2].y * xTemp[tile_y/2 +3 + k*F/2].x;
temp97 += xTemp[tile_x/2 +4 + k*F/2].y * xTemp[tile_y/2 +3 + k*F/2].y;
temp98 += xTemp[tile_x/2 +4 + k*F/2].y * xTemp[tile_y/2 +4 + k*F/2].x;
temp99 += xTemp[tile_x/2 +4 + k*F/2].y * xTemp[tile_y/2 +4 + k*F/2].y;
}
///////////////////////////////////////////////////////////////////////////////////////////////////////////
__syncthreads();
}
int index = blockIdx.x*F*F;
///*
//copy output to gmem
xx[index + tile_x + tile_y*F] = temp0;
xx[index + tile_x + (tile_y + 1)*F] = temp1;
xx[index + tile_x + (tile_y + 2)*F] = temp2;
xx[index + tile_x + (tile_y + 3)*F] = temp3;
xx[index + tile_x + (tile_y + 4)*F] = temp4;
xx[index + tile_x + (tile_y + 5)*F] = temp5;
xx[index + tile_x + (tile_y + 6)*F] = temp6;
xx[index + tile_x + (tile_y + 7)*F] = temp7;
xx[index + tile_x + (tile_y + 8)*F] = temp8;
xx[index + tile_x + (tile_y + 9)*F] = temp9;
xx[index + tile_x + 1 + tile_y*F] = temp10;
xx[index + tile_x + 1 + (tile_y + 1)*F] = temp11;
xx[index + tile_x + 1 + (tile_y + 2)*F] = temp12;
xx[index + tile_x + 1 + (tile_y + 3)*F] = temp13;
xx[index + tile_x + 1 + (tile_y + 4)*F] = temp14;
xx[index + tile_x + 1 + (tile_y + 5)*F] = temp15;
xx[index + tile_x + 1 + (tile_y + 6)*F] = temp16;
xx[index + tile_x + 1 + (tile_y + 7)*F] = temp17;
xx[index + tile_x + 1 + (tile_y + 8)*F] = temp18;
xx[index + tile_x + 1 + (tile_y + 9)*F] = temp19;
xx[index + tile_x + 2 + tile_y*F] = temp20;
xx[index + tile_x + 2 + (tile_y + 1)*F] = temp21;
xx[index + tile_x + 2 + (tile_y + 2)*F] = temp22;
xx[index + tile_x + 2 + (tile_y + 3)*F] = temp23;
xx[index + tile_x + 2 + (tile_y + 4)*F] = temp24;
xx[index + tile_x + 2 + (tile_y + 5)*F] = temp25;
xx[index + tile_x + 2 + (tile_y + 6)*F] = temp26;
xx[index + tile_x + 2 + (tile_y + 7)*F] = temp27;
xx[index + tile_x + 2 + (tile_y + 8)*F] = temp28;
xx[index + tile_x + 2 + (tile_y + 9)*F] = temp29;
xx[index + tile_x + 3 + tile_y*F] = temp30;
xx[index + tile_x + 3 + (tile_y + 1)*F] = temp31;
xx[index + tile_x + 3 + (tile_y + 2)*F] = temp32;
xx[index + tile_x + 3 + (tile_y + 3)*F] = temp33;
xx[index + tile_x + 3 + (tile_y + 4)*F] = temp34;
xx[index + tile_x + 3 + (tile_y + 5)*F] = temp35;
xx[index + tile_x + 3 + (tile_y + 6)*F] = temp36;
xx[index + tile_x + 3 + (tile_y + 7)*F] = temp37;
xx[index + tile_x + 3 + (tile_y + 8)*F] = temp38;
xx[index + tile_x + 3 + (tile_y + 9)*F] = temp39;
xx[index + tile_x + 4 + tile_y*F] = temp40;
xx[index + tile_x + 4 + (tile_y + 1)*F] = temp41;
xx[index + tile_x + 4 + (tile_y + 2)*F] = temp42;
xx[index + tile_x + 4 + (tile_y + 3)*F] = temp43;
xx[index + tile_x + 4 + (tile_y + 4)*F] = temp44;
xx[index + tile_x + 4 + (tile_y + 5)*F] = temp45;
xx[index + tile_x + 4 + (tile_y + 6)*F] = temp46;
xx[index + tile_x + 4 + (tile_y + 7)*F] = temp47;
xx[index + tile_x + 4 + (tile_y + 8)*F] = temp48;
xx[index + tile_x + 4 + (tile_y + 9)*F] = temp49;
xx[index + tile_x + 5 + tile_y*F] = temp50;
xx[index + tile_x + 5 + (tile_y + 1)*F] = temp51;
xx[index + tile_x + 5 + (tile_y + 2)*F] = temp52;
xx[index + tile_x + 5 + (tile_y + 3)*F] = temp53;
xx[index + tile_x + 5 + (tile_y + 4)*F] = temp54;
xx[index + tile_x + 5 + (tile_y + 5)*F] = temp55;
xx[index + tile_x + 5 + (tile_y + 6)*F] = temp56;
xx[index + tile_x + 5 + (tile_y + 7)*F] = temp57;
xx[index + tile_x + 5 + (tile_y + 8)*F] = temp58;
xx[index + tile_x + 5 + (tile_y + 9)*F] = temp59;
xx[index + tile_x + 6 + tile_y*F] = temp60;
xx[index + tile_x + 6 + (tile_y + 1)*F] = temp61;
xx[index + tile_x + 6 + (tile_y + 2)*F] = temp62;
xx[index + tile_x + 6 + (tile_y + 3)*F] = temp63;
xx[index + tile_x + 6 + (tile_y + 4)*F] = temp64;
xx[index + tile_x + 6 + (tile_y + 5)*F] = temp65;
xx[index + tile_x + 6 + (tile_y + 6)*F] = temp66;
xx[index + tile_x + 6 + (tile_y + 7)*F] = temp67;
xx[index + tile_x + 6 + (tile_y + 8)*F] = temp68;
xx[index + tile_x + 6 + (tile_y + 9)*F] = temp69;
xx[index + tile_x + 7 + tile_y*F] = temp70;
xx[index + tile_x + 7 + (tile_y + 1)*F] = temp71;
xx[index + tile_x + 7 + (tile_y + 2)*F] = temp72;
xx[index + tile_x + 7 + (tile_y + 3)*F] = temp73;
xx[index + tile_x + 7 + (tile_y + 4)*F] = temp74;
xx[index + tile_x + 7 + (tile_y + 5)*F] = temp75;
xx[index + tile_x + 7 + (tile_y + 6)*F] = temp76;
xx[index + tile_x + 7 + (tile_y + 7)*F] = temp77;
xx[index + tile_x + 7 + (tile_y + 8)*F] = temp78;
xx[index + tile_x + 7 + (tile_y + 9)*F] = temp79;
xx[index + tile_x + 8 + tile_y*F] = temp80;
xx[index + tile_x + 8 + (tile_y + 1)*F] = temp81;
xx[index + tile_x + 8 + (tile_y + 2)*F] = temp82;
xx[index + tile_x + 8 + (tile_y + 3)*F] = temp83;
xx[index + tile_x + 8 + (tile_y + 4)*F] = temp84;
xx[index + tile_x + 8 + (tile_y + 5)*F] = temp85;
xx[index + tile_x + 8 + (tile_y + 6)*F] = temp86;
xx[index + tile_x + 8 + (tile_y + 7)*F] = temp87;
xx[index + tile_x + 8 + (tile_y + 8)*F] = temp88;
xx[index + tile_x + 8 + (tile_y + 9)*F] = temp89;
xx[index + tile_x + 9 + tile_y*F] = temp90;
xx[index + tile_x + 9 + (tile_y + 1)*F] = temp91;
xx[index + tile_x + 9 + (tile_y + 2)*F] = temp92;
xx[index + tile_x + 9 + (tile_y + 3)*F] = temp93;
xx[index + tile_x + 9 + (tile_y + 4)*F] = temp94;
xx[index + tile_x + 9 + (tile_y + 5)*F] = temp95;
xx[index + tile_x + 9 + (tile_y + 6)*F] = temp96;
xx[index + tile_x + 9 + (tile_y + 7)*F] = temp97;
xx[index + tile_x + 9 + (tile_y + 8)*F] = temp98;
xx[index + tile_x + 9 + (tile_y + 9)*F] = temp99;
//*/
//regularization
if(tile_x == tile_y){
for(int k = 0; k < tile; k++)
xx[index + (tile_x+k)*(1+F)] += (end - start) * lambda;
}
}
}
__global__ void
__launch_bounds__(64, 6)
get_hermitian_x(float* tt,
const int* csrRowIndex, const int* csrColIndex, const float lambda) {
__shared__ float2 thetaTemp[SCAN_BATCH * F/2];
int row = blockIdx.x;
if (row < M) {
//this block needs to handle end - start thetaT columns
int start = csrRowIndex[row];
int end = csrRowIndex[row + 1];
//slide through [start, end] by window size SCAN_BATCH
int iterations = (end - start - 1)/SCAN_BATCH + 1;
float temp0= 0, temp1= 0, temp2= 0, temp3= 0, temp4= 0, temp5= 0, temp6= 0, temp7= 0, temp8= 0, temp9 = 0;
float temp10= 0, temp11= 0, temp12= 0, temp13= 0, temp14= 0, temp15= 0, temp16= 0, temp17= 0, temp18= 0, temp19 = 0;
float temp20= 0, temp21= 0, temp22= 0, temp23= 0, temp24= 0, temp25= 0, temp26= 0, temp27= 0, temp28= 0, temp29 = 0;
float temp30= 0, temp31= 0, temp32= 0, temp33= 0, temp34= 0, temp35= 0, temp36= 0, temp37= 0, temp38= 0, temp39 = 0;
float temp40= 0, temp41= 0, temp42= 0, temp43= 0, temp44= 0, temp45= 0, temp46= 0, temp47= 0, temp48= 0, temp49 = 0;
float temp50= 0, temp51= 0, temp52= 0, temp53= 0, temp54= 0, temp55= 0, temp56= 0, temp57= 0, temp58= 0, temp59 = 0;
float temp60= 0, temp61= 0, temp62= 0, temp63= 0, temp64= 0, temp65= 0, temp66= 0, temp67= 0, temp68= 0, temp69 = 0;
float temp70= 0, temp71= 0, temp72= 0, temp73= 0, temp74= 0, temp75= 0, temp76= 0, temp77= 0, temp78= 0, temp79 = 0;
float temp80= 0, temp81= 0, temp82= 0, temp83= 0, temp84= 0, temp85= 0, temp86= 0, temp87= 0, temp88= 0, temp89 = 0;
float temp90= 0, temp91= 0, temp92= 0, temp93= 0, temp94= 0, temp95= 0, temp96= 0, temp97= 0, temp98= 0, temp99 = 0;
//int tile_x = (threadIdx.x/tile) * tile;//start x of this tile
//int tile_y = (threadIdx.x%tile) * tile;//start y of this tile
int tile_x = 0;
int tile_y = 0;
int tile = F/10;
for ( int i = 0; i < 10; i++){
int end = ((20-i)*(i+1))/2;
if(threadIdx.x < end){
tile_x = i * tile;
tile_y = (10 + threadIdx.x - end) * tile;
break;
}
}
//iteration: copy gmem-->smem; aggregate smem-->register
for (int iter = 0; iter < iterations; iter ++){
float2 theta;
//copy texture --> smem, and sync
/*
if(threadIdx.x < SCAN_BATCH){
if(iter*SCAN_BATCH + threadIdx.x < end - start){
for (int k = 0; k < F; k += 2){
theta.x = tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + threadIdx.x] + k);
theta.y = tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + threadIdx.x] + k+1);
thetaTemp[threadIdx.x * F/2 + k/2] = theta;
}
}
//must be the last iteration; no need to check
//not enough theta to copy, set zero
else
memset(&thetaTemp[threadIdx.x*F/2], 0, F*sizeof(float));
}
*/
//two layers: warp divergence unless we split at 32
//32 > SCAN_BATCH
if(threadIdx.x < 2*32 ){
//int index = threadIdx.x;
int index = threadIdx.x - (threadIdx.x/32)*32; //0 to 31;
if(index < SCAN_BATCH){
if(iter*SCAN_BATCH + index < end - start){
//for (int k = 50*(threadIdx.x/32); k < 50*(threadIdx.x/32) + 50; k += 2){
//IMPORTANT: for loop has constant and identical start and end
if(threadIdx.x < 32){
for (int k = 0; k < 50; k += 2){
theta.x = tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + index] + k);
theta.y = tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + index] + k+1);
thetaTemp[index * F/2 + k/2] = theta;
}
}
else {
for (int k = 0; k < 50; k += 2){
theta.x = tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + index] + k + 50);
theta.y = tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + index] + k + 51);
thetaTemp[index * F/2 + k/2 + 25] = theta;
}
}
}
//must be the last iteration; no need to check
//not enough theta to copy, set zero
else
memset(&thetaTemp[index*F/2], 0, F*sizeof(float));
}
}
/* //issue: not coalesced access to csrColIndex
if(threadIdx.x < F && threadIdx.x%2 == 0){
for(int k = 0; k< SCAN_BATCH; k++){
if(iter*SCAN_BATCH + k < end - start){
theta.x = tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + k] + threadIdx.x);
theta.y = tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + k] + threadIdx.x +1);
thetaTemp[k * F/2 + threadIdx.x/2] = theta;
}
//must be the last iteration; no need to check
//not enough theta to copy, set zero
else
memset(&thetaTemp[k*F/2 + threadIdx.x/2], 0, 2*sizeof(float));
}
}
*/
/*
int layers = blockDim.x/SCAN_BATCH; //100/30 = 3
//int height = blockDim.x/layers; //30
int y = threadIdx.x/SCAN_BATCH;//0,1,2,3; y==3 is not viable
//min(y, (layers-1)) * height
int y_start = y * 30;//0-29:0;30-59:30;60-89:60
int y_end = y_start + 30; //0-29:30;30-59:60;60-89:90
if(y >= layers - 1) y_end = F; //60-89:100
if(threadIdx.x - y_start < SCAN_BATCH){
if(iter*SCAN_BATCH + (threadIdx.x - y_start) < end - start){
for (int k = y_start; k < y_end; k += 2){
theta.x =
tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + (threadIdx.x - y_start)] + k);
theta.y =
tex1Dfetch(thetaTTexRef, F * csrColIndex[start + iter*SCAN_BATCH + (threadIdx.x - y_start)] + k+1);
thetaTemp[(threadIdx.x - y_start)* F/2 + k/2] = theta;
}
}
//must be the last iteration; no need to check
//not enough theta to copy, set zero
else
memset(&thetaTemp[(threadIdx.x - y_start)*F/2 + y_start/2], 0, (y_end - y_start)*sizeof(float));
}
*/
__syncthreads();
///////////////////////////////////////////////////////////////////////////////////////////////////////////
//tile: 10*10
if(threadIdx.x < 55 ){
for(int k = 0; k < SCAN_BATCH; k++){
temp0 += thetaTemp[tile_x/2 + k*F/2].x * thetaTemp[tile_y/2 + k*F/2].x;
temp1 += thetaTemp[tile_x/2 + k*F/2].x * thetaTemp[tile_y/2 + k*F/2].y;
temp2 += thetaTemp[tile_x/2 + k*F/2].x * thetaTemp[tile_y/2 +1 + k*F/2].x;
temp3 += thetaTemp[tile_x/2 + k*F/2].x * thetaTemp[tile_y/2 +1 + k*F/2].y;
temp4 += thetaTemp[tile_x/2 + k*F/2].x * thetaTemp[tile_y/2 +2 + k*F/2].x;
temp5 += thetaTemp[tile_x/2 + k*F/2].x * thetaTemp[tile_y/2 +2 + k*F/2].y;
temp6 += thetaTemp[tile_x/2 + k*F/2].x * thetaTemp[tile_y/2 +3 + k*F/2].x;
temp7 += thetaTemp[tile_x/2 + k*F/2].x * thetaTemp[tile_y/2 +3 + k*F/2].y;
temp8 += thetaTemp[tile_x/2 + k*F/2].x * thetaTemp[tile_y/2 +4 + k*F/2].x;
temp9 += thetaTemp[tile_x/2 + k*F/2].x * thetaTemp[tile_y/2 +4 + k*F/2].y;
temp10 += thetaTemp[tile_x/2 + k*F/2].y * thetaTemp[tile_y/2 + k*F/2].x;
temp11 += thetaTemp[tile_x/2 + k*F/2].y * thetaTemp[tile_y/2 + k*F/2].y;
temp12 += thetaTemp[tile_x/2 + k*F/2].y * thetaTemp[tile_y/2 +1 + k*F/2].x;
temp13 += thetaTemp[tile_x/2 + k*F/2].y * thetaTemp[tile_y/2 +1 + k*F/2].y;
temp14 += thetaTemp[tile_x/2 + k*F/2].y * thetaTemp[tile_y/2 +2 + k*F/2].x;
temp15 += thetaTemp[tile_x/2 + k*F/2].y * thetaTemp[tile_y/2 +2 + k*F/2].y;
temp16 += thetaTemp[tile_x/2 + k*F/2].y * thetaTemp[tile_y/2 +3 + k*F/2].x;
temp17 += thetaTemp[tile_x/2 + k*F/2].y * thetaTemp[tile_y/2 +3 + k*F/2].y;
temp18 += thetaTemp[tile_x/2 + k*F/2].y * thetaTemp[tile_y/2 +4 + k*F/2].x;
temp19 += thetaTemp[tile_x/2 + k*F/2].y * thetaTemp[tile_y/2 +4 + k*F/2].y;
temp20 += thetaTemp[tile_x/2 +1 + k*F/2].x * thetaTemp[tile_y/2 + k*F/2].x;
temp21 += thetaTemp[tile_x/2 +1 + k*F/2].x * thetaTemp[tile_y/2 + k*F/2].y;
temp22 += thetaTemp[tile_x/2 +1 + k*F/2].x * thetaTemp[tile_y/2 +1 + k*F/2].x;
temp23 += thetaTemp[tile_x/2 +1 + k*F/2].x * thetaTemp[tile_y/2 +1 + k*F/2].y;
temp24 += thetaTemp[tile_x/2 +1 + k*F/2].x * thetaTemp[tile_y/2 +2 + k*F/2].x;
temp25 += thetaTemp[tile_x/2 +1 + k*F/2].x * thetaTemp[tile_y/2 +2 + k*F/2].y;
temp26 += thetaTemp[tile_x/2 +1 + k*F/2].x * thetaTemp[tile_y/2 +3 + k*F/2].x;
temp27 += thetaTemp[tile_x/2 +1 + k*F/2].x * thetaTemp[tile_y/2 +3 + k*F/2].y;
temp28 += thetaTemp[tile_x/2 +1 + k*F/2].x * thetaTemp[tile_y/2 +4 + k*F/2].x;
temp29 += thetaTemp[tile_x/2 +1 + k*F/2].x * thetaTemp[tile_y/2 +4 + k*F/2].y;
temp30 += thetaTemp[tile_x/2 +1 + k*F/2].y * thetaTemp[tile_y/2 + k*F/2].x;
temp31 += thetaTemp[tile_x/2 +1 + k*F/2].y * thetaTemp[tile_y/2 + k*F/2].y;
temp32 += thetaTemp[tile_x/2 +1 + k*F/2].y * thetaTemp[tile_y/2 +1 + k*F/2].x;
temp33 += thetaTemp[tile_x/2 +1 + k*F/2].y * thetaTemp[tile_y/2 +1 + k*F/2].y;
temp34 += thetaTemp[tile_x/2 +1 + k*F/2].y * thetaTemp[tile_y/2 +2 + k*F/2].x;
temp35 += thetaTemp[tile_x/2 +1 + k*F/2].y * thetaTemp[tile_y/2 +2 + k*F/2].y;
temp36 += thetaTemp[tile_x/2 +1 + k*F/2].y * thetaTemp[tile_y/2 +3 + k*F/2].x;
temp37 += thetaTemp[tile_x/2 +1 + k*F/2].y * thetaTemp[tile_y/2 +3 + k*F/2].y;
temp38 += thetaTemp[tile_x/2 +1 + k*F/2].y * thetaTemp[tile_y/2 +4 + k*F/2].x;
temp39 += thetaTemp[tile_x/2 +1 + k*F/2].y * thetaTemp[tile_y/2 +4 + k*F/2].y;
temp40 += thetaTemp[tile_x/2 +2 + k*F/2].x * thetaTemp[tile_y/2 + k*F/2].x;
temp41 += thetaTemp[tile_x/2 +2 + k*F/2].x * thetaTemp[tile_y/2 + k*F/2].y;
temp42 += thetaTemp[tile_x/2 +2 + k*F/2].x * thetaTemp[tile_y/2 +1 + k*F/2].x;
temp43 += thetaTemp[tile_x/2 +2 + k*F/2].x * thetaTemp[tile_y/2 +1 + k*F/2].y;
temp44 += thetaTemp[tile_x/2 +2 + k*F/2].x * thetaTemp[tile_y/2 +2 + k*F/2].x;
temp45 += thetaTemp[tile_x/2 +2 + k*F/2].x * thetaTemp[tile_y/2 +2 + k*F/2].y;
temp46 += thetaTemp[tile_x/2 +2 + k*F/2].x * thetaTemp[tile_y/2 +3 + k*F/2].x;
temp47 += thetaTemp[tile_x/2 +2 + k*F/2].x * thetaTemp[tile_y/2 +3 + k*F/2].y;
temp48 += thetaTemp[tile_x/2 +2 + k*F/2].x * thetaTemp[tile_y/2 +4 + k*F/2].x;
temp49 += thetaTemp[tile_x/2 +2 + k*F/2].x * thetaTemp[tile_y/2 +4 + k*F/2].y;
temp50 += thetaTemp[tile_x/2 +2 + k*F/2].y * thetaTemp[tile_y/2 + k*F/2].x;
temp51 += thetaTemp[tile_x/2 +2 + k*F/2].y * thetaTemp[tile_y/2 + k*F/2].y;
temp52 += thetaTemp[tile_x/2 +2 + k*F/2].y * thetaTemp[tile_y/2 +1 + k*F/2].x;
temp53 += thetaTemp[tile_x/2 +2 + k*F/2].y * thetaTemp[tile_y/2 +1 + k*F/2].y;
temp54 += thetaTemp[tile_x/2 +2 + k*F/2].y * thetaTemp[tile_y/2 +2 + k*F/2].x;
temp55 += thetaTemp[tile_x/2 +2 + k*F/2].y * thetaTemp[tile_y/2 +2 + k*F/2].y;
temp56 += thetaTemp[tile_x/2 +2 + k*F/2].y * thetaTemp[tile_y/2 +3 + k*F/2].x;
temp57 += thetaTemp[tile_x/2 +2 + k*F/2].y * thetaTemp[tile_y/2 +3 + k*F/2].y;
temp58 += thetaTemp[tile_x/2 +2 + k*F/2].y * thetaTemp[tile_y/2 +4 + k*F/2].x;
temp59 += thetaTemp[tile_x/2 +2 + k*F/2].y * thetaTemp[tile_y/2 +4 + k*F/2].y;
temp60 += thetaTemp[tile_x/2 +3 + k*F/2].x * thetaTemp[tile_y/2 + k*F/2].x;
temp61 += thetaTemp[tile_x/2 +3 + k*F/2].x * thetaTemp[tile_y/2 + k*F/2].y;
temp62 += thetaTemp[tile_x/2 +3 + k*F/2].x * thetaTemp[tile_y/2 +1 + k*F/2].x;
temp63 += thetaTemp[tile_x/2 +3 + k*F/2].x * thetaTemp[tile_y/2 +1 + k*F/2].y;
temp64 += thetaTemp[tile_x/2 +3 + k*F/2].x * thetaTemp[tile_y/2 +2 + k*F/2].x;
temp65 += thetaTemp[tile_x/2 +3 + k*F/2].x * thetaTemp[tile_y/2 +2 + k*F/2].y;
temp66 += thetaTemp[tile_x/2 +3 + k*F/2].x * thetaTemp[tile_y/2 +3 + k*F/2].x;
temp67 += thetaTemp[tile_x/2 +3 + k*F/2].x * thetaTemp[tile_y/2 +3 + k*F/2].y;
temp68 += thetaTemp[tile_x/2 +3 + k*F/2].x * thetaTemp[tile_y/2 +4 + k*F/2].x;
temp69 += thetaTemp[tile_x/2 +3 + k*F/2].x * thetaTemp[tile_y/2 +4 + k*F/2].y;
temp70 += thetaTemp[tile_x/2 +3 + k*F/2].y * thetaTemp[tile_y/2 + k*F/2].x;
temp71 += thetaTemp[tile_x/2 +3 + k*F/2].y * thetaTemp[tile_y/2 + k*F/2].y;
temp72 += thetaTemp[tile_x/2 +3 + k*F/2].y * thetaTemp[tile_y/2 +1 + k*F/2].x;
temp73 += thetaTemp[tile_x/2 +3 + k*F/2].y * thetaTemp[tile_y/2 +1 + k*F/2].y;
temp74 += thetaTemp[tile_x/2 +3 + k*F/2].y * thetaTemp[tile_y/2 +2 + k*F/2].x;
temp75 += thetaTemp[tile_x/2 +3 + k*F/2].y * thetaTemp[tile_y/2 +2 + k*F/2].y;
temp76 += thetaTemp[tile_x/2 +3 + k*F/2].y * thetaTemp[tile_y/2 +3 + k*F/2].x;
temp77 += thetaTemp[tile_x/2 +3 + k*F/2].y * thetaTemp[tile_y/2 +3 + k*F/2].y;
temp78 += thetaTemp[tile_x/2 +3 + k*F/2].y * thetaTemp[tile_y/2 +4 + k*F/2].x;
temp79 += thetaTemp[tile_x/2 +3 + k*F/2].y * thetaTemp[tile_y/2 +4 + k*F/2].y;
temp80 += thetaTemp[tile_x/2 +4 + k*F/2].x * thetaTemp[tile_y/2 + k*F/2].x;
temp81 += thetaTemp[tile_x/2 +4 + k*F/2].x * thetaTemp[tile_y/2 + k*F/2].y;
temp82 += thetaTemp[tile_x/2 +4 + k*F/2].x * thetaTemp[tile_y/2 +1 + k*F/2].x;
temp83 += thetaTemp[tile_x/2 +4 + k*F/2].x * thetaTemp[tile_y/2 +1 + k*F/2].y;
temp84 += thetaTemp[tile_x/2 +4 + k*F/2].x * thetaTemp[tile_y/2 +2 + k*F/2].x;
temp85 += thetaTemp[tile_x/2 +4 + k*F/2].x * thetaTemp[tile_y/2 +2 + k*F/2].y;
temp86 += thetaTemp[tile_x/2 +4 + k*F/2].x * thetaTemp[tile_y/2 +3 + k*F/2].x;
temp87 += thetaTemp[tile_x/2 +4 + k*F/2].x * thetaTemp[tile_y/2 +3 + k*F/2].y;
temp88 += thetaTemp[tile_x/2 +4 + k*F/2].x * thetaTemp[tile_y/2 +4 + k*F/2].x;
temp89 += thetaTemp[tile_x/2 +4 + k*F/2].x * thetaTemp[tile_y/2 +4 + k*F/2].y;
temp90 += thetaTemp[tile_x/2 +4 + k*F/2].y * thetaTemp[tile_y/2 + k*F/2].x;
temp91 += thetaTemp[tile_x/2 +4 + k*F/2].y * thetaTemp[tile_y/2 + k*F/2].y;
temp92 += thetaTemp[tile_x/2 +4 + k*F/2].y * thetaTemp[tile_y/2 +1 + k*F/2].x;
temp93 += thetaTemp[tile_x/2 +4 + k*F/2].y * thetaTemp[tile_y/2 +1 + k*F/2].y;
temp94 += thetaTemp[tile_x/2 +4 + k*F/2].y * thetaTemp[tile_y/2 +2 + k*F/2].x;
temp95 += thetaTemp[tile_x/2 +4 + k*F/2].y * thetaTemp[tile_y/2 +2 + k*F/2].y;
temp96 += thetaTemp[tile_x/2 +4 + k*F/2].y * thetaTemp[tile_y/2 +3 + k*F/2].x;
temp97 += thetaTemp[tile_x/2 +4 + k*F/2].y * thetaTemp[tile_y/2 +3 + k*F/2].y;
temp98 += thetaTemp[tile_x/2 +4 + k*F/2].y * thetaTemp[tile_y/2 +4 + k*F/2].x;
temp99 += thetaTemp[tile_x/2 +4 + k*F/2].y * thetaTemp[tile_y/2 +4 + k*F/2].y;
}
}
}
//end of iteration in copying from smem and aggregating in register
///////////////////////////////////////////////////////////////////////////////////////////////////////////
__syncthreads();
///*
if(threadIdx.x < 55 ){
//copy output to gmem
int index = blockIdx.x*F*F;
tt[index + tile_x + tile_y*F] = temp0;
tt[index + tile_x + (tile_y + 1)*F] = temp1;
tt[index + tile_x + (tile_y + 2)*F] = temp2;
tt[index + tile_x + (tile_y + 3)*F] = temp3;
tt[index + tile_x + (tile_y + 4)*F] = temp4;
tt[index + tile_x + (tile_y + 5)*F] = temp5;
tt[index + tile_x + (tile_y + 6)*F] = temp6;
tt[index + tile_x + (tile_y + 7)*F] = temp7;
tt[index + tile_x + (tile_y + 8)*F] = temp8;
tt[index + tile_x + (tile_y + 9)*F] = temp9;
tt[index + tile_x + 1 + tile_y*F] = temp10;
tt[index + tile_x + 1 + (tile_y + 1)*F] = temp11;
tt[index + tile_x + 1 + (tile_y + 2)*F] = temp12;
tt[index + tile_x + 1 + (tile_y + 3)*F] = temp13;
tt[index + tile_x + 1 + (tile_y + 4)*F] = temp14;
tt[index + tile_x + 1 + (tile_y + 5)*F] = temp15;
tt[index + tile_x + 1 + (tile_y + 6)*F] = temp16;
tt[index + tile_x + 1 + (tile_y + 7)*F] = temp17;
tt[index + tile_x + 1 + (tile_y + 8)*F] = temp18;
tt[index + tile_x + 1 + (tile_y + 9)*F] = temp19;
tt[index + tile_x + 2 + tile_y*F] = temp20;
tt[index + tile_x + 2 + (tile_y + 1)*F] = temp21;
tt[index + tile_x + 2 + (tile_y + 2)*F] = temp22;
tt[index + tile_x + 2 + (tile_y + 3)*F] = temp23;
tt[index + tile_x + 2 + (tile_y + 4)*F] = temp24;
tt[index + tile_x + 2 + (tile_y + 5)*F] = temp25;
tt[index + tile_x + 2 + (tile_y + 6)*F] = temp26;
tt[index + tile_x + 2 + (tile_y + 7)*F] = temp27;
tt[index + tile_x + 2 + (tile_y + 8)*F] = temp28;
tt[index + tile_x + 2 + (tile_y + 9)*F] = temp29;
tt[index + tile_x + 3 + tile_y*F] = temp30;
tt[index + tile_x + 3 + (tile_y + 1)*F] = temp31;
tt[index + tile_x + 3 + (tile_y + 2)*F] = temp32;
tt[index + tile_x + 3 + (tile_y + 3)*F] = temp33;
tt[index + tile_x + 3 + (tile_y + 4)*F] = temp34;
tt[index + tile_x + 3 + (tile_y + 5)*F] = temp35;
tt[index + tile_x + 3 + (tile_y + 6)*F] = temp36;
tt[index + tile_x + 3 + (tile_y + 7)*F] = temp37;
tt[index + tile_x + 3 + (tile_y + 8)*F] = temp38;
tt[index + tile_x + 3 + (tile_y + 9)*F] = temp39;
tt[index + tile_x + 4 + tile_y*F] = temp40;
tt[index + tile_x + 4 + (tile_y + 1)*F] = temp41;
tt[index + tile_x + 4 + (tile_y + 2)*F] = temp42;
tt[index + tile_x + 4 + (tile_y + 3)*F] = temp43;
tt[index + tile_x + 4 + (tile_y + 4)*F] = temp44;
tt[index + tile_x + 4 + (tile_y + 5)*F] = temp45;
tt[index + tile_x + 4 + (tile_y + 6)*F] = temp46;
tt[index + tile_x + 4 + (tile_y + 7)*F] = temp47;
tt[index + tile_x + 4 + (tile_y + 8)*F] = temp48;
tt[index + tile_x + 4 + (tile_y + 9)*F] = temp49;
tt[index + tile_x + 5 + tile_y*F] = temp50;
tt[index + tile_x + 5 + (tile_y + 1)*F] = temp51;
tt[index + tile_x + 5 + (tile_y + 2)*F] = temp52;
tt[index + tile_x + 5 + (tile_y + 3)*F] = temp53;