I am trying to call a device kernel within a global kernel. My global kernel is a Matrix Multiplication and my device kernel is finding the maximum value and the index in each column of the product matrix. Following is the code :
__device__ void MaxFunction(float* Pd, float* max)
{
int x = (threadIdx.x + blockIdx.x * blockDim.x);
int y = (threadIdx.y + blockIdx.y * blockDim.y);
int k = 0;
int temp = 0; int temp_idx = 0;
for (k = 0; k < wB; ++k) {
if(Pd[x*wB + y] > temp){
temp = Pd[x*wB + y];
temp_idx = x*wB + y;
}
max[y*2 + 0] = temp;
max[y*2 + 1] = temp_idx;
}
}
__global__ void MatrixMulKernel(float* Md, float* Nd, float* Pd, float* max)
{
// declare cache in the shared memory
__shared__ float Mds[blockD][blockD];
__shared__ float Nds[blockD][blockD];
float Pvalue = 0;
// Loop over the Md and Nd block dimension required to compute the Pd element
for (int m = (wA * blockD * blockIdx.y), n = (blockD * blockIdx.x);
m < ((wA * blockD * blockIdx.y)+wA-1);
m += blockD, n += (blockD*hB)){
// collaboratively loading of Md and Nd blocks into shared memory
Mds[threadIdx.y][threadIdx.x] = Md[m + wA * threadIdx.y + threadIdx.x];
Nds[threadIdx.y][threadIdx.x] = Nd[n + wA * threadIdx.y + threadIdx.x];
__syncthreads();
// keep track of the running sum
for (int k = 0; k < blockD; k++)
Pvalue += Mds[threadIdx.y][k] * Nds[k][threadIdx.x];
__syncthreads();
}
// write back to the global memory
int p = hB * blockD * blockIdx.y + blockD * blockIdx.x;
Pd[p + hB * threadIdx.y + threadIdx.x] = Pvalue;
__syncthreads();
MaxFunction(Pd, max);
}
The Main code :
#include<stdio.h>
#include "cuda.h"
#include<stdlib.h>
#define blockD 32
const int wA = 128;
const int hA = 1024;
const int wB = 128;
const int hB = wA;
main(void){
void MatrixMultiplication(float *, float *, float *, float *);
int size_A = wA * hA * sizeof(float);
int size_B = wB * hB * sizeof(float);
int size_C = wB * hA * sizeof(float);
int size_max = 2 * wB * sizeof(float);
float *M, *N, *P, *C;
// allocate memory on the CPU
M = (float*)malloc(size_A);
N = (float*)malloc(size_B);
P = (float*)malloc(size_max);
C = (float*)malloc(size_C);
// initialize the matrices
for (int y=0; y < hA; y++) {
for (int x=0; x < wA; x++){
M[y*wA + x] = x;
}
}
for (int y=0; y<hB; y++) {
for (int x=0; x<wB; x++){
N[y*wB + x] = x;
}
}
MatrixMultiplication(M, N, P, C);
//Write
FILE *f1;
int i, j;
f1 = fopen("max_val.txt","w");
for(i=0; i < (wB * 2); i+=2){
fprintf(f1,"%d\t%d\n",int(P[i]),int(P[i+1]));
}
fclose(f1);
f1 = fopen("Prod_mat.txt","w");
for(i=0; i < 2; i++){
for(j=0; j < wB; j++){
fprintf(f1,"%d\t",int(C[i*wB + j]));
}
fprintf(f1,"\n");
}
fclose(f1);
free( M );
free( N );
free( P );
free( C );
cudaDeviceReset();
return 0;
}
void MatrixMultiplication(float *M, float *N, float *P, float *C) {
int size_A = wA * hA * sizeof(float);
int size_B = wB * hB * sizeof(float);
int size_C = wB * hA * sizeof(float);
int size_max = 2 * wB * sizeof(float);
float *Md, *Nd, *Pd, *max;
// allocate memory on the GPU
cudaMalloc((void**)&Md, size_A);
cudaMalloc((void**)&Nd, size_B);
cudaMalloc((void**)&Pd, size_C);
cudaMalloc((void**)&max, size_max);
// transfer M and N to device memory
cudaMemcpy(Md, M, size_A, cudaMemcpyHostToDevice);
cudaMemcpy(Nd, N, size_B, cudaMemcpyHostToDevice);
// kernel invocation code
dim3 dimBlock(blockD, blockD);
dim3 dimGrid(wA/blockD, hB/blockD);
//Execute Kernel
MatrixMulKernel<<<dimGrid, dimBlock>>>( Md, Nd, Pd, max);
// transfer P from device
cudaMemcpy(P, max, size_max, cudaMemcpyDeviceToHost);
cudaMemcpy(C, Pd, size_C, cudaMemcpyDeviceToHost);
cudaFree(Md);
cudaFree(Nd);
cudaFree(Pd);
cudaFree(max);
}
The Matrix Multiplication result is fine (Verified using Matlab), but I am not able to get the max values and their corresponding index. I would appreciate if anyone can kindly point out at what I am doing wrong. The max variable has only garbage when I run the above code.
Apparently you are attempting to find the maximum value in each column, as well as the offset to that value.
But all of your threads in y are hammering on the same location for max value (max[x*2 + 0]). This isn't recommended, as there is no way to sort out a race condition. You should use atomic operations, or other methods (e.g. reduction) to handle multiple threads updating a single max value this way.
Since you have a need to update two values atomically (the max value and it's location), it's not a simple matter of replacing your plain access with a standard atomic function. However, since you are dealing with two 32-bit adjacent quantities, you may be interested in my answer here.
By the way I think matlab's native matrix multiply on gpuArray should be faster than any matrix multiply code you write. But it would require the Parallel Compute Toolbox.
Related
#define TS 32
int num_devices = 0;
__global__ void shared_kernel(float* A, float* B, float* C, int M, int N, int K) {
int global_col = blockDim.x * blockIdx.x + threadIdx.x;
int global_row = blockDim.y * blockIdx.y + threadIdx.y;
int local_col = threadIdx.x;
int local_row = threadIdx.y;
if (global_row >= M || global_col >= N) return;
__shared__ float Asub[TS][TS];
__shared__ float Bsub[TS][TS];
const int num_tiles = K / TS;
float acc = 0;
for(int t = 0; t < num_tiles; t++){
const int t_row = TS * t + local_row;
const int t_col = TS * t + local_col;
Asub[local_row][local_col] = A[global_row * K + t_col];
Bsub[local_row][local_col] = B[t_row * N + global_col];
__syncthreads();
printf("[DEBUG] first sync threads, global_row: %d, global_col: %d\n", global_row, global_col);
for (int k = 0; k < K; ++k) {
acc += Asub[local_row][k] * Bsub[k][local_col];
}
__syncthreads();
printf("[DEBUG] second sync threads, global_row: %d, global_col: %d\n", global_row, global_col);
}
C[global_row * N + global_col] = acc;
}
static float *a_d, *b_d, *c_d;
void mat_mul(float *A, float *B, float *C, int M, int N, int K) {
cudaMemcpy(a_d, A, M * K * sizeof(float), cudaMemcpyHostToDevice);
cudaMemcpy(b_d, B, K * N * sizeof(float), cudaMemcpyHostToDevice);
dim3 blockDim(TS, TS);
dim3 gridDim(M/TS, N/TS);
shared_kernel<<<gridDim, blockDim>>>(a_d, b_d, c_d, M, N, K);
cudaMemcpy(C, c_d, M * N * sizeof(float), cudaMemcpyDeviceToHost);
cudaDeviceSynchronize();
}
void mat_mul_init(float *A, float *B, float *C, int M, int N, int K) {
cudaGetDeviceCount(&num_devices);
cudaSetDevice(0);
cudaMalloc(&a_d, M * K * sizeof(float));
cudaMalloc(&b_d, K * N * sizeof(float));
cudaMalloc(&c_d, M * N * sizeof(float));
}
Above example is a matrix multiplication with shared memory.
I ran above kernel with dim3 blockDim(TS, TS) and dim3 gridDim(M/TS, N/TS) and M, N, K = 128.
I checked that float * C has zero value after launching kernel. Also, I found that only few of global_row are printed(from 37 to 81) after first __syncthreads(), and there is no printf DEBUG message after the second __syncthreads().
I suspect that __syncthreads() is causing the problem, but I don't know how to fix it. My code is almost the same as other matrix multiplication code in other site.
Would you give me some hint how to solve this?
Any time you are having trouble with a CUDA code, I recommend using proper CUDA error checking and run your code with compute-sanitizer or cuda-memcheck. For this type of analysis, it will be easier if you don't use in-kernel printf.
If you did that, you would see output like this:
========= Invalid __shared__ read of size 4
========= at 0x000002f0 in shared_kernel(float*, float*, float*, int, int, int)
========= by thread (0,2,0) in block (0,1,0)
========= Address 0x00002000 is out of bounds
========= Saved host backtrace up to driver entry point at kernel launch time
... (and more output)
So from that, we can see that your kernel is making invalid __shared__ read operations. Where is that happening in your kernel? You could use the methodology here to identify a specific line of code. However this is a fairly simple kernel, and there is only one line that is reading from shared memory, it is here:
for (int k = 0; k < K; ++k) {
acc += Asub[local_row][k] * Bsub[k][local_col]; // shared reads here
A quick inspection will show that if you let this loop iterate over a range of K=128, then you will index out of bounds here:
for (int k = 0; k < K; ++k) {
acc += Asub[local_row][k] * Bsub[k][local_col];
^ ^
when k is greater than 31, because this would exceed your shared array dimensions:
#define TS 32
__shared__ float Asub[TS][TS];
__shared__ float Bsub[TS][TS];
I'm not going to bother writing a fixed kernel/code for you, because as you've already pointed out, this topic is covered in many other places, and a canonical example is already provided in the programming guide.
FWIW, if i change your for-loop to this:
for (int k = 0; k < TS; ++k) {
then the run-time errors go away for me. cuda-memcheck reports no errors.
I am exploring to move from OpenCL to CUDA, and did a few tests to benchmark the speed of CUDA in various implementations. To my surprise, in the examples below, the PyCUDA implementation is about 20% faster than the C CUDA example.
I read many posts talking about "release build" of C CUDA code. I did try having -Xptxas -O3 in the makefile and that really did not make a difference. I also tried to adjust the block size, with which the kernel was executed. Unfortunately, it did not help improve the speed, either.
My questions here are:
What could be the reasons leading to the speed difference between C CUDA and PYCUDA?
If the "advanced" (lack of a better word) compiling in PYCUDA is one of reasons, how can I optimize the compiling of my C CUDA code?
Are there any other ways to improve the speed of C CUDA in this case?
While I appreciate general comments, I am looking for actionable suggestions that I can validate on my machine. Thanks!
import pycuda.autoinit
import pycuda.driver as drv
import numpy as np
from pycuda.compiler import SourceModule
import time
mod = SourceModule(
"""
__global__ void saxpy(int n, const float a, float *x, float *y)
{
int i = blockIdx.x * blockDim.x + threadIdx.x;
if (i < n){
y[i] = a * x[i] + y[i];
}
}
"""
)
saxpy = mod.get_function("saxpy")
N = 1 << 25
time_elapse = 0.0
for i in range(100):
# print(i)
# print(N)
x = np.ones(N).astype(np.float32)
y = 2 * np.ones(N).astype(np.float32)
start = time.time()
saxpy(
np.int32(N),
np.float32(2.0),
drv.In(x),
drv.InOut(y),
block=(512, 1, 1),
grid=(int(N / 512) + 1, 1),
)
time_elapse += (time.time() - start)
print(time_elapse )
print(y[-100:-1])
print(y.sum())
print(N * 4.0)
#include <stdio.h>
#include <time.h>
#define DIM 512
__global__ void saxpy(int n, float a, float *x, float *y)
{
int i = blockIdx.x * blockDim.x + threadIdx.x;
if (i < n)
y[i] = a * x[i] + y[i];
}
int main(int num_iterations)
{
double start;
double cputime;
int N = 1 << 25;
float *x, *y, *d_x, *d_y;
int i, j;
for (j = 0; j < num_iterations; j++)
{
x = (float *)malloc(N * sizeof(float));
y = (float *)malloc(N * sizeof(float));
cudaMalloc(&d_x, N * sizeof(float));
cudaMalloc(&d_y, N * sizeof(float));
for (i = 0; i < N; i++)
{
x[i] = 1.0f;
y[i] = 2.0f;
}
cudaMemcpy(d_x, x, N * sizeof(float), cudaMemcpyHostToDevice);
cudaMemcpy(d_y, y, N * sizeof(float), cudaMemcpyHostToDevice);
// Perform SAXPY on 1M elements
start = clock();
saxpy<<<(N + DIM) / DIM, DIM>>>(N, 2.0f, d_x, d_y);
cputime += ((double)(clock() - start) / CLOCKS_PER_SEC);
cudaMemcpy(y, d_y, N * sizeof(float), cudaMemcpyDeviceToHost);
// float maxError = 0.0f;
// for (int i = 0; i < N; i++){
// maxError = max(maxError, abs(y[i] - 4.0f));
// //printf("y[%d]: %f\n", i,y[i]);
// }
// printf("Max error: %f\n", maxError);
cudaFree(d_x);
cudaFree(d_y);
free(x);
free(y);
}
printf("cpu time is %f\n", cputime);
return 0;
}
I saved the above file as cuda_example.cu and compile it with the following commands in a makefile:
nvcc -arch=sm_61 -Xptxas -O3,-v -o main cuda_example.cu
If I execute your CUDA-C code as is, and set num_iterations to 300 like this:
int num_iterations =300;
then the execution of your program takes about 60s on a Geforce GTX 1650. Your code is extremely inefficient, as you copy data back and forth between GPU and device at every iteration.
So, lets restrict the loop to just the kernel execution:
#include <stdio.h>
#include <time.h>
#define DIM 512
__global__ void saxpy(int n, float a, float *x, float *y)
{
int i = blockIdx.x * blockDim.x + threadIdx.x;
if (i < n)
y[i] = a * x[i] + y[i];
}
int main()
{
double start = clock();
int N = 1 << 25;
float *x, *y, *d_x, *d_y;
int i, j;
int num_iterations = 300;
x = (float *)malloc(N * sizeof(float));
y = (float *)malloc(N * sizeof(float));
cudaMalloc(&d_x, N * sizeof(float));
cudaMalloc(&d_y, N * sizeof(float));
for (i = 0; i < N; i++)
{
x[i] = 1.0f;
y[i] = 2.0f;
}
cudaMemcpy(d_x, x, N * sizeof(float), cudaMemcpyHostToDevice);
cudaMemcpy(d_y, y, N * sizeof(float), cudaMemcpyHostToDevice);
for (j = 0; j < num_iterations; j++){
saxpy<<<(N + DIM) / DIM, DIM>>>(N, 2.0f, d_x, d_y);
cudaDeviceSynchronize();
}
cudaMemcpy(y, d_y, N * sizeof(float), cudaMemcpyDeviceToHost);
cudaFree(d_x);
cudaFree(d_y);
free(x);
free(y);
double cputime = ((double)(clock() - start) / CLOCKS_PER_SEC);
printf("cpu time is %f\n", cputime);
return 0;
}
If I do that, then the execution time becomes 1.36 seconds. Doing sth similar to the PyCUDA code I got about 19s of execution time.
Hello I'm working in a CUDA kernel about matrix vector product. I want to improve the performance with tiling and shared memory.
The problem is that with this code the M Matrix or the N vector aren't loading right.
Do you have any idea about how to Load a tile from M and N into the shared memory arrays??
M is the matrix, N is the vector and P is the result of the matrix vector product
__global__ void matrixMul( float* P, float* M, float* N, int Mw, int Nw)
{
int bx = blockIdx.x; int by = blockIdx.y;
int tx = threadIdx.x; int ty = threadIdx.y;
__shared__ float Ms[BLOCK_SIZE][BLOCK_SIZE];
__shared__ float Ns[BLOCK_SIZE];
// ===================================================================
// Code segment 1
// Determine the update values for the tile indices in the loop
// ===================================================================
int mBegin = Mw * BLOCK_SIZE * by;
int mEnd = mBegin + Mw - 1;
int mStep = BLOCK_SIZE;
int nBegin = BLOCK_SIZE * bx;
//int nStep = BLOCK_SIZE*Nw;
int nStep = 1;
float Psub = 0.0f;
// ===================================================================
// Code segment 2
// Do matrix-matrix multiplication inside a tile
// ===================================================================
for (int m = mBegin, n = nBegin; m <= mEnd; m += mStep, n += nStep) {
// Load a tile from M and N into the shared memory arrays
Ms[ty][tx] = M[bx*mStep*Mw+m];
Ns[ty] = N[by*nStep*Nw+n];
// Synchronize the threads
__syncthreads();
// Multiply the two tiles together, each thread accumulating
// the partial sum of a single dot product.
for (int i = 0; i < BLOCK_SIZE; i++) {
Psub += Ms[i][tx] * Ns[i];
}
// Synchronize again.
__syncthreads();
}
// ===================================================================
// Code segment 3
// Store the data back to global memory
// ===================================================================
int p = Nw * BLOCK_SIZE * by + BLOCK_SIZE * bx;
P[p + nStep] = Psub;
}
I found a similar example (dealing with square matrices of identical sizes, mind you) that also loads parts of the matrix into shared memory. It seems your declarations are right, and it probably just comes down to the algebra you are using to determine which elements go where.
__global__ void MatrixMulKernel(float* Md, float* Nd, float* Pd, int Width){
__shared__float Mds[TILE_WIDTH][TILE_WIDTH]; // Shared memory
__shared__float Nds[TILE_WIDTH][TILE_WIDTH]; // declarations
int bx = blockIdx.x; int by = blockIdx.y; // ID thread
int tx = threadIdx.x; int ty = threadIdx.y;
// Identify the row and column of the Pd element to work on
int Row = by * TILE_WIDTH + ty;
int Col = bx * TILE_WIDTH + tx;
float Pvalue = 0; // REGISTER!
// Loop over the Md and Nd tiles required to compute the Pd element
for (int m = 0; m < Width/TILE_WIDTH; ++m) {
// Collaborative loading of Md and Nd tiles into shared memory
Mds[ty][tx] = Md[Row*Width + (m*TILE_WIDTH + tx)];
Nds[ty][tx] = Nd[Col + (m*TILE_WIDTH + ty)*Width];
__syncthreads();
for (int k = 0; k < TILE_WIDTH; ++k)
Pvalue += Mds[ty][k] * Nds[k][tx];
__syncthreads();
}
Pd[Row*Width+Col] = Pvalue;
}
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I've written the CUDA code below. It's supposed to transpose a matrix using tiling blocks, and the code works when using small values, but when using, for example:
TILE = 32, matrix 128 x 128, it doesn't complete the transpose, it stops after 96. In host this is my dimension thread/block
dim3 dimGrid((nEven + TILE_DIM - 1) / TILE_DIM, (nEven + TILE_DIM - 1) / TILE_DIM);
dim3 dimBlock(TILE_DIM, TILE_DIM);
where I let the threads number == to tile block number,
the global code is simple and it should theoretically work:
__global__ void transposeMain( int *idata)
{
__shared__ int tile2[TILE_DIM][TILE_DIM];
int yyy = blockIdx.y * TILE_DIM ; // col values (0,32,64,96)
int xxx = blockIdx.x * TILE_DIM ; // row values (0,32,64,96)
if (xxx < nEven && yyy < nEven)
{
tile2[threadIdx.x][threadIdx.y] = idata[(threadIdx.x + xxx)*nEven + (threadIdx.y + yyy)];
__syncthreads();
idata[(threadIdx.y + yyy)*nEven + (threadIdx.x + xxx)] = tile2[threadIdx.x][threadIdx.y];
}
}
Any idea what might be the problem?
The problem is you are trying to do an in-place transpose.
CUDA device code execution is broken up into threadblocks. Threadblocks (groups of threads) can execute in any order, and do not all (typically) execute at the same time. So when you read a tile in here:
tile2[threadIdx.x][threadIdx.y] = idata[(threadIdx.x + xxx)*nEven + (threadIdx.y + yyy)];
That is OK. But when you write the tile:
idata[(threadIdx.y + yyy)*nEven + (threadIdx.x + xxx)] = tile2[threadIdx.x][threadIdx.y];
You are frequently over-writing data (in some other tile in the original matrix) which you haven't read yet (because the threadblock responsible for reading that tile hasn't even begun to execute yet). Once you overwrite it like this, it's lost.
The solution (for square matrix transpose) has several aspects to it:
Each threadblock must first read 2 tiles. These 2 tiles from the input data will be swapped.
Then each threadblock can write those two tiles.
The tiles along the main diagonal need special casing.
since most threadblocks are handling 2 tiles, only threadblocks on or on one side of the main diagonal need do any work.
You haven't shown a complete MCVE (which is expected when you have questions like this), and your code has other issues such as the potential for uncoalesced access (lower performance) so I'm not going to try to "fix" your code.
Instead, here's a fully worked example, lifted from here:
$ cat t469.cu
#include <stdio.h>
#include <cublas_v2.h>
#include <time.h>
#include <sys/time.h>
#define uS_PER_SEC 1000000
#define uS_PER_mS 1000
#define N 4096
#define M 4096
#define TILE_DIM 32
#define BLOCK_ROWS 8
__global__ void transposeCoalesced(float *odata, const float *idata)
{
__shared__ float tile[TILE_DIM][TILE_DIM+1];
int x = blockIdx.x * TILE_DIM + threadIdx.x;
int y = blockIdx.y * TILE_DIM + threadIdx.y;
int width = gridDim.x * TILE_DIM;
for (int j = 0; j < TILE_DIM; j += BLOCK_ROWS)
tile[threadIdx.y+j][threadIdx.x] = idata[(y+j)*width + x];
__syncthreads();
x = blockIdx.y * TILE_DIM + threadIdx.x; // transpose block offset
y = blockIdx.x * TILE_DIM + threadIdx.y;
for (int j = 0; j < TILE_DIM; j += BLOCK_ROWS)
odata[(y+j)*width + x] = tile[threadIdx.x][threadIdx.y + j];
}
__global__ void iptransposeCoalesced(float *data)
{
__shared__ float tile_s[TILE_DIM][TILE_DIM+1];
__shared__ float tile_d[TILE_DIM][TILE_DIM+1];
int x = blockIdx.x * TILE_DIM + threadIdx.x;
int y = blockIdx.y * TILE_DIM + threadIdx.y;
int width = gridDim.x * TILE_DIM;
if (blockIdx.y>blockIdx.x) { // handle off-diagonal case
int dx = blockIdx.y * TILE_DIM + threadIdx.x;
int dy = blockIdx.x * TILE_DIM + threadIdx.y;
for (int j = 0; j < TILE_DIM; j += BLOCK_ROWS)
tile_s[threadIdx.y+j][threadIdx.x] = data[(y+j)*width + x];
for (int j = 0; j < TILE_DIM; j += BLOCK_ROWS)
tile_d[threadIdx.y+j][threadIdx.x] = data[(dy+j)*width + dx];
__syncthreads();
for (int j = 0; j < TILE_DIM; j += BLOCK_ROWS)
data[(dy+j)*width + dx] = tile_s[threadIdx.x][threadIdx.y + j];
for (int j = 0; j < TILE_DIM; j += BLOCK_ROWS)
data[(y+j)*width + x] = tile_d[threadIdx.x][threadIdx.y + j];
}
else if (blockIdx.y==blockIdx.x){ // handle on-diagonal case
for (int j = 0; j < TILE_DIM; j += BLOCK_ROWS)
tile_s[threadIdx.y+j][threadIdx.x] = data[(y+j)*width + x];
__syncthreads();
for (int j = 0; j < TILE_DIM; j += BLOCK_ROWS)
data[(y+j)*width + x] = tile_s[threadIdx.x][threadIdx.y + j];
}
}
int validate(const float *mat, const float *mat_t, int n, int m){
int result = 1;
for (int i = 0; i < n; i++)
for (int j = 0; j < m; j++)
if (mat[(i*m)+j] != mat_t[(j*n)+i]) result = 0;
return result;
}
int main(){
timeval t1, t2;
float *matrix = (float *) malloc (N * M * sizeof(float));
for (int i = 0; i < N; i ++)
for (int j = 0; j < M; j++)
matrix[(i*M) + j] = i;
// Starting the timer
gettimeofday(&t1, NULL);
float *matrixT = (float *) malloc (N * M * sizeof(float));
for (int i = 0; i < N; i++)
for (int j = 0; j < M; j++)
matrixT[(j*N)+i] = matrix[(i*M)+j]; // matrix is obviously filled
//Ending the timer
gettimeofday(&t2, NULL);
if (!validate(matrix, matrixT, N, M)) {printf("fail!\n"); return 1;}
float et1 = (((t2.tv_sec*uS_PER_SEC)+t2.tv_usec) - ((t1.tv_sec*uS_PER_SEC)+t1.tv_usec))/(float)uS_PER_mS;
printf("CPU time = %fms\n", et1);
float *h_matrixT , *d_matrixT , *d_matrix;
h_matrixT = (float *) (malloc (N * M * sizeof(float)));
cudaMalloc((void **)&d_matrixT , N * M * sizeof(float));
cudaMalloc((void**)&d_matrix , N * M * sizeof(float));
cudaMemcpy(d_matrix , matrix , N * M * sizeof(float) , cudaMemcpyHostToDevice);
//Starting the timer
gettimeofday(&t1, NULL);
const float alpha = 1.0;
const float beta = 0.0;
cublasHandle_t handle;
//gettimeofday(&t1, NULL);
cublasCreate(&handle);
gettimeofday(&t1, NULL);
cublasSgeam(handle, CUBLAS_OP_T, CUBLAS_OP_N, N, M, &alpha, d_matrix, M, &beta, d_matrix, N, d_matrixT, N);
cudaDeviceSynchronize();
gettimeofday(&t2, NULL);
cublasDestroy(handle);
//Ending the timer
float et2 = (((t2.tv_sec*uS_PER_SEC)+t2.tv_usec) - ((t1.tv_sec*uS_PER_SEC)+t1.tv_usec))/(float)uS_PER_mS;
printf("GPU Sgeam time = %fms\n", et2);
cudaMemcpy(h_matrixT , d_matrixT , N * M * sizeof(float) , cudaMemcpyDeviceToHost);
if (!validate(matrix, h_matrixT, N, M)) {printf("fail!\n"); return 1;}
cudaMemset(d_matrixT,0, N*M*sizeof(float));
memset(h_matrixT, 0, N*M*sizeof(float));
dim3 threads(TILE_DIM, BLOCK_ROWS);
dim3 blocks(N/TILE_DIM, M/TILE_DIM);
gettimeofday(&t1, NULL);
transposeCoalesced<<<blocks, threads >>>(d_matrixT, d_matrix);
cudaDeviceSynchronize();
gettimeofday(&t2, NULL);
cudaMemcpy(h_matrixT , d_matrixT , N * M * sizeof(float) , cudaMemcpyDeviceToHost);
if (!validate(matrix, h_matrixT, N, M)) {printf("fail!\n"); return 1;}
float et3 = (((t2.tv_sec*uS_PER_SEC)+t2.tv_usec) - ((t1.tv_sec*uS_PER_SEC)+t1.tv_usec))/(float)uS_PER_mS;
printf("GPU kernel time = %fms\n", et3);
memset(h_matrixT, 0, N*M*sizeof(float));
gettimeofday(&t1, NULL);
iptransposeCoalesced<<<blocks, threads >>>(d_matrix);
cudaDeviceSynchronize();
gettimeofday(&t2, NULL);
cudaMemcpy(h_matrixT , d_matrix , N * M * sizeof(float) , cudaMemcpyDeviceToHost);
if (!validate(matrix, h_matrixT, N, M)) {printf("fail!\n"); return 1;}
float et4 = (((t2.tv_sec*uS_PER_SEC)+t2.tv_usec) - ((t1.tv_sec*uS_PER_SEC)+t1.tv_usec))/(float)uS_PER_mS;
printf("GPU in-place kernel time = %fms\n", et4);
cudaFree(d_matrix);
cudaFree(d_matrixT);
return 0;
}
$ nvcc -arch=sm_20 -o t469 t469.cu -lcublas
$ ./t469
CPU time = 450.095001ms
GPU Sgeam time = 1.937000ms
GPU kernel time = 1.694000ms
GPU in-place kernel time = 1.839000ms
$
Note that this compares several different approaches to matrix transpose.
If you study the iptransposeCoalesced you will see that it is adhering to the 4 specific aspects I outlined above.
It is fishy to use __syncthreads(); in the if statement in CUDA. Try to move it outside this block by simple:
if (xxx < nEven && yyy < nEven)
{
tile2[threadIdx.x][threadIdx.y] = idata[(threadIdx.x + xxx)*nEven + (threadIdx.y + yyy)];
}
__syncthreads();
if (xxx < nEven && yyy < nEven)
{
idata[(threadIdx.y + yyy)*nEven + (threadIdx.x + xxx)] = tile2[threadIdx.x][threadIdx.y];
}
I observe IPC drops as ILP goes up for 32-bit int operations when trying to speed up my cryptographic kernel. The kernel consists of fairly unrolled loops of long sequence of ADD and XOR operations, which should have a throughput of 160 ops per 192 cores per cycle on Kepler (GTX Titan/780).
IPC for my kernel hits the upper bound of 3.28. Using ILP even drops IPC. Apparently ILP fails to help achieve my goal -- fully utilize the pipeline, so I wrote some little experiments. I put the code for ILP 4 at the end.
Profiler Measurements
Results are measured on GTX Titan.
cubin outputs are examined to make sure no instructions are eliminated during optimization.
Executed IPC is almost the same as issued IPC, so I just list one of them.
ADD instructions (XORs have identical behavior)
| ILP 1 | ILP 2 | ILP 4 | ILP 8
--------------------------------------------------
IPC | 4.00 | 3.32 | 2.72 | 3.44
--------------------------------------------------
Issue Slot | 99.17% | 59.34% | 48.61% | 61.71%
Utilization | | | |
I expect ILP 2, 4 and 8 would give better performance, but not.
Recall the integer throughput is 160. The 4 warp scheduler per SM should dual issue up to 5 instructions per cycle, so that IPC should go up towards 5. How can I explain what I observed? Why is the issue slot 99% utilized when IPC = 4?
Float / Int ADD instruction mix
If I modify the code for ILP 4 to do two int ADDs and two float ADDs:
IPC: 5.1
Issue slot utilization: 99.12%
Strangely enough, it seems that the warp scheduler does a better job to issue floating operations.
Discussion
Available literature suggests using ILP help reach the peak performance for floating point operations. Why doesn't ILP apply to integers? How can I do this for integer operations?
My kernel theoretically should do 2.25 integer operations per candidate. This is consistent with what I observed in cuobjdump. There are 2^48 candidates, so the minimun runtime on GTX Titan should be 2.25 * 2^48 / (2688 * 160/192) / 876 MHz = 322.75s. Is this estimation reasonable?
The measured performance for my kernel is 523s. This does imply that integer throughput is only about 160 * 3.28 (measure IPC) / 5 (max IPC).
ILP test code
__device__ int x[10];
__global__ void test(int flag = 0)
{
int a = x[0], b = x[1], c = x[2], d = x[3];
int _a = x[4], _b = x[5], _c = x[6], _d = x[7];
#pragma unroll 128
for (int i = 0; i < 51200; ++i)
{
asm volatile("add.u32 %0, %0, %1;": "+r"(a): "r"(_a));
asm volatile("add.u32 %0, %0, %1;": "+r"(b): "r"(_b));
asm volatile("add.u32 %0, %0, %1;": "+r"(c): "r"(_c));
asm volatile("add.u32 %0, %0, %1;": "+r"(d): "r"(_d));
}
int v = a + b + c + d;
if (flag * v == 1)
x[0] = v;
}
Code fragment for 4 candidates
Each candidate takes 9 / 4 = 2.25 ops. Cuobjdump also verifies this.
d ^= d2(1, 3); // d2 is located in constant memory
s ^= d;
t ^= d2(1, 16);
u ^= d2(1, 17);
v ^= some_const;
flag_s = min(flag_s, s); // int min has throughput of 160
flag_t = flag_t || (s == t); // setp.or should be the same
flag_u = flag_u || (s == u);
flag_v = flag_v || (s == v);
I'm providing an answer to remove this question from the unanswered list.
I do not observe a change in executed Instructions Per Count (IPC) with Instruction Level Parallelism. Overall, it is difficult to argue the reason for the effect observed by the OP without knowing any further information but that provided by the OP himself (f.i., the launch configuration).
In the code below, I'm considering an example using floats, although I have tested the same code with ints without changing the conceptual results. The code implements cyclical Multiply Add (MAD) operations with ILP=1, ILP=2 and ILP=4.
The executed IPC has been the following
ILP IPC FLOPs
1 3.924 67108864
2 4.323 67108864
4 4.016 67108864
for N=8192. The code has been compiled with CUDA 8.0 and run on an NVIDIA GT920M. As it can be seen, IPC keeps almost constant for the differently considered values of ILP. The Floating Point Operations (FLOPs) as estimated by the code assuming 2 FLOPs per MAD coincides with that measured by the Visual Profiler.
THE CODE
#include<stdio.h>
#define N_ITERATIONS 8192
#include "Utilities.cuh"
#include "TimingGPU.cuh"
#define BLOCKSIZE 512
//#define DEBUG
/********************************************************/
/* KERNEL0 - NO INSTRUCTION LEVEL PARALLELISM (ILP = 0) */
/********************************************************/
__global__ void kernel0(float * __restrict__ d_a, const float * __restrict__ d_b, const float * __restrict__ d_c, const int N) {
const int tid = threadIdx.x + blockIdx.x * blockDim.x;
if (tid < N) {
float a = d_a[tid];
float b = d_b[tid];
float c = d_c[tid];
for (unsigned int i = 0; i < N_ITERATIONS; i++) {
a = a * b + c;
}
d_a[tid] = a;
}
}
/*****************************************************/
/* KERNEL1 - INSTRUCTION LEVEL PARALLELISM (ILP = 2) */
/*****************************************************/
__global__ void kernel1(float * __restrict__ d_a, const float * __restrict__ d_b, const float * __restrict__ d_c, const int N) {
const int tid = threadIdx.x + blockIdx.x * blockDim.x;
if (tid < N / 2) {
float a1 = d_a[tid];
float b1 = d_b[tid];
float c1 = d_c[tid];
float a2 = d_a[tid + N / 2];
float b2 = d_b[tid + N / 2];
float c2 = d_c[tid + N / 2];
for (unsigned int i = 0; i < N_ITERATIONS; i++) {
a1 = a1 * b1 + c1;
a2 = a2 * b2 + c2;
}
d_a[tid] = a1;
d_a[tid + N / 2] = a2;
}
}
/*****************************************************/
/* KERNEL2 - INSTRUCTION LEVEL PARALLELISM (ILP = 4) */
/*****************************************************/
__global__ void kernel2(float * __restrict__ d_a, const float * __restrict__ d_b, const float * __restrict__ d_c, const int N) {
const int tid = threadIdx.x + blockIdx.x * blockDim.x;
if (tid < N / 4) {
float a1 = d_a[tid];
float b1 = d_b[tid];
float c1 = d_c[tid];
float a2 = d_a[tid + N / 4];
float b2 = d_b[tid + N / 4];
float c2 = d_c[tid + N / 4];
float a3 = d_a[tid + N / 2];
float b3 = d_b[tid + N / 2];
float c3 = d_c[tid + N / 2];
float a4 = d_a[tid + 3 * N / 4];
float b4 = d_b[tid + 3 * N / 4];
float c4 = d_c[tid + 3 * N / 4];
for (unsigned int i = 0; i < N_ITERATIONS; i++) {
a1 = a1 * b1 + c1;
a2 = a2 * b2 + c2;
a3 = a3 * b3 + c3;
a4 = a4 * b4 + c4;
}
d_a[tid] = a1;
d_a[tid + N / 4] = a2;
d_a[tid + N / 2] = a3;
d_a[tid + 3 * N / 4] = a4;
}
}
/********/
/* MAIN */
/********/
int main() {
//const int N = 8192 * 64;
const int N = 8192;
//const int N = 1024;
TimingGPU timerGPU;
float *h_a = (float*)malloc(N*sizeof(float));
float *h_a_result_host = (float*)malloc(N*sizeof(float));
float *h_a_result_device = (float*)malloc(N*sizeof(float));
float *h_b = (float*)malloc(N*sizeof(float));
float *h_c = (float*)malloc(N*sizeof(float));
for (int i = 0; i<N; i++) {
h_a[i] = 2.;
h_b[i] = 1.;
h_c[i] = 2.;
h_a_result_host[i] = h_a[i];
for (unsigned int k = 0; k < N_ITERATIONS; k++) {
h_a_result_host[i] = h_a_result_host[i] * h_b[i] + h_c[i];
}
}
float *d_a; gpuErrchk(cudaMalloc((void**)&d_a, N*sizeof(float)));
float *d_b; gpuErrchk(cudaMalloc((void**)&d_b, N*sizeof(float)));
float *d_c; gpuErrchk(cudaMalloc((void**)&d_c, N*sizeof(float)));
gpuErrchk(cudaMemcpy(d_a, h_a, N*sizeof(float), cudaMemcpyHostToDevice));
gpuErrchk(cudaMemcpy(d_b, h_b, N*sizeof(float), cudaMemcpyHostToDevice));
gpuErrchk(cudaMemcpy(d_c, h_c, N*sizeof(float), cudaMemcpyHostToDevice));
/***********/
/* KERNEL0 */
/***********/
timerGPU.StartCounter();
kernel0 << <iDivUp(N, BLOCKSIZE), BLOCKSIZE >> >(d_a, d_b, d_c, N);
#ifdef DEBUG
gpuErrchk(cudaPeekAtLastError());
gpuErrchk(cudaDeviceSynchronize());
#endif
// --- Remember: timing is in ms
printf("Number of operations = %f; GFlops = %f\n", (float)N*(float)N_ITERATIONS, (1.e-6)*((float)N*(float)N_ITERATIONS) / timerGPU.GetCounter());
gpuErrchk(cudaMemcpy(h_a_result_device, d_a, N*sizeof(float), cudaMemcpyDeviceToHost));
for (int i = 0; i<N; i++) if (h_a_result_device[i] != h_a_result_host[i]) { printf("Error at i=%i! Host = %f; Device = %f\n", i, h_a_result_host[i], h_a_result_device[i]); return 1; }
/***********/
/* KERNEL1 */
/***********/
gpuErrchk(cudaMemcpy(d_a, h_a, N*sizeof(float), cudaMemcpyHostToDevice));
timerGPU.StartCounter();
kernel1 << <iDivUp(N / 2, BLOCKSIZE), BLOCKSIZE >> >(d_a, d_b, d_c, N);
#ifdef DEBUG
gpuErrchk(cudaPeekAtLastError());
gpuErrchk(cudaDeviceSynchronize());
#endif
// --- Remember: timing is in ms
printf("Number of operations = %f; GFlops = %f\n", (float)N*(float)N_ITERATIONS, (1.e-6)*((float)N*(float)N_ITERATIONS) / timerGPU.GetCounter());
gpuErrchk(cudaMemcpy(h_a_result_device, d_a, N*sizeof(float), cudaMemcpyDeviceToHost));
for (int i = 0; i<N; i++) if (h_a_result_device[i] != h_a_result_host[i]) { printf("Error at i=%i! Host = %f; Device = %f\n", i, h_a_result_host[i], h_a_result_device[i]); return 1; }
/***********/
/* KERNEL2 */
/***********/
gpuErrchk(cudaMemcpy(d_a, h_a, N*sizeof(float), cudaMemcpyHostToDevice));
timerGPU.StartCounter();
kernel2 << <iDivUp(N / 4, BLOCKSIZE), BLOCKSIZE >> >(d_a, d_b, d_c, N);
#ifdef DEBUG
gpuErrchk(cudaPeekAtLastError());
gpuErrchk(cudaDeviceSynchronize());
#endif
// --- Remember: timing is in ms
printf("Number of operations = %f; GFlops = %f\n", (float)N*(float)N_ITERATIONS, (1.e-6)*((float)N*(float)N_ITERATIONS) / timerGPU.GetCounter());
gpuErrchk(cudaMemcpy(h_a_result_device, d_a, N*sizeof(float), cudaMemcpyDeviceToHost));
for (int i = 0; i<N; i++) if (h_a_result_device[i] != h_a_result_host[i]) { printf("Error at i=%i! Host = %f; Device = %f\n", i, h_a_result_host[i], h_a_result_device[i]); return 1; }
cudaDeviceReset();
return 0;
}