CUDA Warp Synchronization Problem - cuda

In generalizing a kernel thats shifts the values of a 2D array one space to the right (wrapping around the row boundaries), I have come across a warp synchronization problem. The full code is attached and included below.
The code is meant to work for arbitrary array width, array height, number of thread blocks, and number of threads per block. When choosing a thread size of 33 (i.e. one more thread than a full warp), the 33rd thread doesn't synchronize with __syncthreads() is called. This causes problems with the output data. The problem is only present when there is more than one warp, and the width of the array is more than the number of threads (e.g. with width=35 and 34 threads).
The following is a downsized example of what happens (in reality the array would need to have more elements for the kernel to produce the error).
Initial array:
0 1 2 3 4
5 6 7 8 9
Expected Result:
4 0 1 2 3
9 5 6 7 8
Kernel Produces:
4 0 1 2 3
8 5 6 7 8
The first line is done correctly (for each block if there are more than one), with all subsequent lines having the second last value repeated. I have tested this one two different cards (8600GT and GTX280) and get the same results. I would like to know if this is just a bug with my kernel, or a problem that can't be fixed by adjusting my code?
The full source file is included below.
Thank you.
#include <cstdio>
#include <cstdlib>
// A method to ensure all reads use the same logical layout.
inline __device__ __host__ int loc(int x, int y, int width)
{
return y*width + x;
}
//kernel to shift all items in a 2D array one position to the right (wrapping around rows)
__global__ void shiftRight ( int* globalArray, int width, int height)
{
int temp1=0; //temporary swap variables
int temp2=0;
int blockRange=0; //the number of rows that a single block will shift
if (height%gridDim.x==0) //logic to account for awkward array sizes
blockRange = height/gridDim.x;
else
blockRange = (1+height/gridDim.x);
int yStart = blockIdx.x*blockRange;
int yEnd = yStart+blockRange; //the end condition for the y-loop
yEnd = min(height,yEnd); //make sure that the array doesn't go out of bounds
for (int y = yStart; y < yEnd ; ++y)
{
//do the first read so the swap variables are loaded for the x-loop
temp1 = globalArray[loc(threadIdx.x,y,width)];
//Each block shifts an entire row by itself, even if there are more columns than threads
for (int threadXOffset = threadIdx.x ; threadXOffset < width ; threadXOffset+=blockDim.x)
{
//blockDim.x is added so that we store the next round of values
//this has to be done now, because the next operation will
//overwrite one of these values
temp2 = globalArray[loc((threadXOffset + blockDim.x)%width,y,width)];
__syncthreads(); //sync before the write to ensure all the values have been read
globalArray[loc((threadXOffset +1)%width,y,width)] = temp1;
__syncthreads(); //sync after the write so ensure all the values have been written
temp1 = temp2; //swap the storage variables.
}
if (threadIdx.x == 0 && y == 0)
globalArray[loc(12,2,width)]=globalArray[67];
}
}
int main (int argc, char* argv[])
{
//set the parameters to be used
int width = 34;
int height = 3;
int threadsPerBlock=33;
int numBlocks = 1;
int memSizeInBytes = width*height*sizeof(int);
//create the host data and assign each element of the array to equal its index
int* hostData = (int*) malloc (memSizeInBytes);
for (int y = 0 ; y < height ; ++y)
for (int x = 0 ; x < width ; ++x)
hostData [loc(x,y,width)] = loc(x,y,width);
//create an allocate the device pointers
int* deviceData;
cudaMalloc ( &deviceData ,memSizeInBytes);
cudaMemset ( deviceData,0,memSizeInBytes);
cudaMemcpy ( deviceData, hostData, memSizeInBytes, cudaMemcpyHostToDevice);
cudaThreadSynchronize();
//launch the kernel
shiftRight<<<numBlocks,threadsPerBlock>>> (deviceData, width, height);
cudaThreadSynchronize();
//copy the device data to a host array
int* hostDeviceOutput = (int*) malloc (memSizeInBytes);
cudaMemcpy (hostDeviceOutput, deviceData, memSizeInBytes, cudaMemcpyDeviceToHost);
cudaFree (deviceData);
//Print out the expected/desired device output
printf("---- Expected Device Output ----\n");
printf(" | ");
for (int x = 0 ; x < width ; ++x)
printf("%4d ",x);
printf("\n---|-");
for (int x = 0 ; x < width ; ++x)
printf("-----");
for (int y = 0 ; y < height ; ++y)
{
printf("\n%2d | ",y);
for (int x = 0 ; x < width ; ++x)
printf("%4d ",hostData[loc((x-1+width)%width,y,width)]);
}
printf("\n\n");
printf("---- Actual Device Output ----\n");
printf(" | ");
for (int x = 0 ; x < width ; ++x)
printf("%4d ",x);
printf("\n---|-");
for (int x = 0 ; x < width ; ++x)
printf("-----");
for (int y = 0 ; y < height ; ++y)
{
printf("\n%2d | ",y);
for (int x = 0 ; x < width ; ++x)
printf("%4d ",hostDeviceOutput[loc(x,y,width)]);
}
printf("\n\n");
}

Because not all threads are executing the same number of loop iterations, synchronisation is a problem! All threads should hit the same __syncthreads()-s all the time.
I would suggest transforming your innermost for loop into something like this:
for(int blockXOffset=0; blockXOffset < width; blockXOffset+=blockDim.x) {
int threadXOffset=blockXOffset+threadIdx.x;
bool isActive=(threadXOffset < width);
if (isActive) temp2 = globalArray[loc((threadXOffset + blockDim.x)%width,y,width)];
__syncthreads();
if (isActive) globalArray[loc((threadXOffset +1)%width,y,width)] = temp1;
__syncthreads();
temp1 = temp2;
}

From the Programming Guide:
__syncthreads() is allowed in
conditional code but only if the
conditional evaluates identically
across the entire thread block,
otherwise the code execution is likely
to hang or produce unintended side
effects.
In my example, not all threads are executing the same number of loop iterations, so synchronization doesn't happen.

Related

Is one CUDA block dimension faster than the other?

I have a simple CUDA code that assigns the values of an NxN matrix A to matrix B. In one case, I declare block sizes block(1,32) and have each thread loop over the entries in the first matrix dimension. In the second case,
I declare block sizes block(32,1) and have each thread loop over entries in the
second matrix dimension.
Is there some really obvious reason why, in my code below, threads that loop over the stride 1 memory are significantly slower than those that the loop over stride N memory? I would have thought it was the other way around (if there is any difference at all).
Am I missing something really obvious (a bug, perhaps)?
The complete code is below.
#include <stdio.h>
#include <sys/time.h>
__global__ void addmat_x(int m, int n, int* A, int *B)
{
int idx, ix;
int iy = threadIdx.y + blockIdx.y*blockDim.y;
if (iy < n)
for(ix = 0; ix < m; ix++) {
idx = iy*m + ix; /* iy*m is constant */
B[idx] = A[idx];
}
}
__global__ void addmat_y(int m, int n, int* A, int *B)
{
int ix = threadIdx.x + blockIdx.x*blockDim.x;
int idx, iy;
if (ix < m)
for(iy = 0; iy < n; iy++) {
idx = iy*m + ix;
B[idx] = A[idx];
}
}
double cpuSecond()
{
struct timeval tp;
gettimeofday(&tp,NULL);
return (double) tp.tv_sec + (double)tp.tv_usec*1e-6;
}
int main(int argc, char** argv)
{
int *A, *B;
int *dev_A, *dev_B;
size_t m, n, nbytes;
double etime, start;
m = 1 << 14;
n = 1 << 14;
nbytes = m*n*sizeof(int);
A = (int*) malloc(nbytes);
B = (int*) malloc(nbytes);
memset(A,0,nbytes);
cudaMalloc((void**) &dev_A, nbytes);
cudaMalloc((void**) &dev_B, nbytes);
cudaMemcpy(dev_A, A, nbytes, cudaMemcpyHostToDevice);
#if 1
/* One thread per row */
dim3 block(1,32);
dim3 grid(1,(n+block.y-1)/block.y);
start = cpuSecond();
addmat_x<<<grid,block>>>(m,n,dev_A, dev_B);
#else
/* One thread per column */
dim3 block(32,1);
dim3 grid((m+block.x-1)/block.x,1);
start = cpuSecond();
addmat_y<<<grid,block>>>(m,n,dev_A, dev_B);
#endif
cudaDeviceSynchronize();
etime = cpuSecond() - start;
printf("GPU Kernel %10.3g (s)\n",etime);
cudaFree(dev_A);
cudaFree(dev_B);
free(A);
free(B);
cudaDeviceReset();
}
Lets compare the global memory indexing generated by each thread, in each case.
addmat_x:
Your block dimension is (1,32). This means 1 thread wide in x, 32 threads "long" in y. The threadId.x value for each thread will be 0. The threadIdx.y value for the threads in the warp will range from 0 to 31, as you move from thread to thread in the warp. With that, let's inspect your creation of idx in that kernel:
m = 1 << 14;
...
int iy = threadIdx.y + blockIdx.y*blockDim.y;
idx = iy*m + ix;
let's choose the first block, whose blockIdx.y is 0. Then:
idx = threadIdx.y*(1<<14) + ix;
For the first loop iteration, ix is 0. The idx values generated by each thread will be:
threadIdx.y: | idx:
0 0
1 (1<<14)
2 2*(1<<14)
...
31 31*(1<<14)
For a given loop iteration, the distance from the load or store index from one thread to the next will be 1<<14. i.e. not adjacent. Scattered.
addmat_y:
Your block dimension is (32,1). This means 32 threads wide in x, 1 thread "long" in y. The threadIdx.y value for each thread will be 0. The threadIdx.x value for the threads in the warp will range from 0 to 31, as you move from thread to thread. Now let's inspect your creation of idx in that kernel:
m = 1 << 14;
...
int ix = threadIdx.x + blockIdx.x*blockDim.x;
idx = iy*m + ix;
Let's choose the first block, whose blockIdx.x is 0. Then:
idx = iy*m + threadIdx.x;
For the first loop iteration, iy is 0, so we simply have:
idx = threadIdx.x;
This generates the following index pattern across the warp:
threadIdx.x: | idx:
0 0
1 1
2 2
...
31 31
These indices are adjacent, it is not a scattered load or store, the addresses will coalesce nicely, and this represents "efficient" use of global memory. It will perform faster than the first case.

Issues accessing an array based on an offset in CUDA

This question more than likely has a simple solution.
Each of the threads I spawn are to be initialized to a starting value. For example, if I have a character set, char charSet[27] = "abcdefghijklmnopqrstuvwxyz", I spawn 26 threads. So threadIdx.0 corresponds to charSet[0] = a. Simple enough.
I thought I figured out a way to do this, until I examined what my threads were doing...
Here's an example program that I wrote:
#include "cuda_runtime.h"
#include "device_launch_parameters.h"
#include <stdio.h>
#include <math.h>
#include <stdlib.h>
__global__ void example(int offset, int reqThreads){
//Declarations
unsigned int idx = threadIdx.x + blockIdx.x * blockDim.x;
if(idx < reqThreads){
unsigned int tid = (offset * threadIdx.x) + blockIdx.x * blockDim.x; //Used to initialize array <-----Problem is here
printf("%d ", tid);
}
}
int main(void){
//Declarations
int minLength = 1;
int maxLength = 2;
int offset;
int totalThreads;
int reqThreads;
int base = 26;
int maxThreads = 512;
int blocks;
int i,j;
for(i = minLength; i<=maxLength; i++){
offset = i;
//Calculate parameters
reqThreads = (int) pow((double) base, (double) offset); //Casting I would never do, but works here
totalThreads = reqThreads;
for(j = 1;(totalThreads % maxThreads) != 0; j++) totalThreads += 1; //Create a multiple of 512
blocks = totalThreads/maxThreads;
//Call the kernel
example<<<blocks, totalThreads>>>(offset, reqThreads);
cudaThreadSynchronize();
printf("\n\n");
}
system("pause");
return 0;
}
My reasoning was that this statement
unsigned int tid = (offset * threadIdx.x) + blockIdx.x * blockDim.x;
would allow me to introduce an offset. If offset were 2, threadIdx.0 * offset = 0, threadIdx.1 * offset = 2, threadIdx.2 * offset = 4, and so forth. That definitely does not happen. The output of the above program works when offset == 1:
0 1 2 3 4 5...26.
But when offset == 2:
1344 1346 1348 1350...
In fact, those values are way outside the bounds of my array. So I'm not sure what is going wrong.
Any constructive input is appreciated.
I believe your kernel call should look like this:
example<<<blocks, maxThreads>>>(offset, reqThreads);
Your intent is to launch thread blocks of 512 threads, so that number (maxThreads) should be your second kernel config parameter, which is the number of threads per block.
Also, this is deprecated:
cudaThreadSynchronize();
Use this instead:
cudaDeviceSynchronize();
And if you use printf from the kernel for a large amount of output, you can lose some of the output if you exceed the buffer.
Finally, I'm not sure your reasoning is correct about the range of indices that will be printed.
When offset = 2 (the second pass through the loop), then 26^2 = 676, and you will then end up with 1024 threads, (in 2 thread blocks, if you make the above fixes). The second threadblock will have
tid = (2*threadIdx.x) + blockDim.x*blockIdx.x;
(0..164) (512) (1)
So the second threadblock should print out indices of 512 (minimum) up to (2*164) + 512 = 900
(164 = 675 - 511)
The first threadblock should print out indices of:
tid = (2*threadIdx.x) + blockDim.x * blockIdx.x
(0..511) (512) (0)
i.e. 0 to 1022

Get statistics for a list of numbers using GPU

I have several lists of numbers on a file . For example,
.333, .324, .123 , .543, .00054
.2243, .333, .53343 , .4434
Now, I want to get the number of times each number occurs using the GPU. I believe this will be faster to do on the GPU than the CPU because each thread can process one list. What data structure should I use on the GPU to easily get the above counts. For example , for the above, the answer will look as follows:
.333 = 2 times in entire file
.324 = 1 time
etc..
I looking for a general solution. Not one that works only on devices with specific compute capability
Just writing kernel suggested by Pavan to see if I have implemented it efficiently:
int uniqueEle = newend.valiter – d_A;
int* count;
cudaMalloc((void**)&count, uniqueEle * sizeof(int)); // stores the count of each unique element
int TPB = 256;
int blocks = uniqueEle + TPB -1 / TPB;
//Cast d_I to raw pointer called d_rawI
launch<<<blocks,TPB>>>(d_rawI,count,uniqueEle);
__global__ void launch(int *i, int* count, int n){
int id = blockDim.x * blockIdx.x + threadIdx.x;
__shared__ int indexes[256];
if(id < n ){
indexes[threadIdx.x] = i[id];
//as occurs between two blocks
if(id % 255 == 0){
count[indexes] = i[id+1] - i[id];
}
}
__syncthreads();
if(id < ele - 1){
if(threadIdx.x < 255)
count[id] = indexes[threadIdx.x+1] – indexes[threadIdx.x];
}
}
Question: how to modify this kernel so that it handles arrays of arbitrary size. I.e , handle the condition when the total number of threads < number of elements
Here is how I would do the code in matlab
A = [333, .324, .123 , .543, .00054 .2243, .333, .53343 , .4434];
[values, locations] = unique(A); % Find unique values and their locations
counts = diff([0, locations]); % Find the count based on their locations
There is no easy way to do this in plain cuda, but you can use existing libraries to do this.
1) Thrust
It is also being shipped with CUDA toolkit from CUDA 4.0.
The matlab code can be roughly translated into thrust by using the following functions. I am not too proficient with thrust, but I am just trying to give you an idea on what routines to look at.
float _A[] = {.333, .324, .123 , .543, .00054 .2243, .333, .53343 , .4434};
int _I[] = {0, 1, 2, 3, 4, 5, 6, 7, 8};
float *A, *I;
// Allocate memory on device and cudaMempCpy values from _A to A and _I to I
int num = 9;
// Values vector
thrust::device_vector<float>d_A(A, A+num);
// Need to sort to get same values together
thrust::stable_sort(d_A, d_A+num);
// Vector containing 0 to num-1
thrust::device_vector<int>d_I(I, I+num);
// Find unique values and elements
thrust::device_vector<float>d_Values(num), d_Locations(num), d_counts(num);
// Find unique elements
thrust::device_vector<float>::iterator valiter;
thrust::device_vector<int>::iterator idxiter;
thrust::pair<valiter, idxiter> new_end;
new_end = thrust::unique_by_key(d_A, d_A+num, d_I, d_Values, d_Locations);
You now have the locations of the first instance of each unique value. You can now launch a kernel to find the differences between adjacent elements from 0 to new_end in d_Locations. Subtract the final value from num to get the count for final location.
EDIT (Adding code that was provided over chat)
Here is how the difference code needs to be done
#define MAX_BLOCKS 65535
#define roundup(A, B) = (((A) + (B) - 1) / (B))
int uniqueEle = newend.valiter – d_A;
int* count;
cudaMalloc((void**)&count, uniqueEle * sizeof(int));
int TPB = 256;
int num_blocks = roundup(uniqueEle, TPB);
int blocks_y = roundup(num_blocks, MAX_BLOCKS);
int blocks_x = roundup(num_blocks, blocks_y);
dim3 blocks(blocks_x, blocks_y);
kernel<<<blocks,TPB>>>(d_rawI, count, uniqueEle);
__global__ void kernel(float *i, int* count, int n)
{
int tx = threadIdx.x;
int bid = blockIdx.y * gridDim.x + blockIdx.x;
int id = blockDim.x * bid + tx;
__shared__ int indexes[256];
if (id < n) indexes[tx] = i[id];
__syncthreads();
if (id < n - 1) {
if (tx < 255) count[id] = indexes[tx + 1] - indexes[tx];
else count[id] = i[id + 1] - indexes[tx];
}
if (id == n - 1) count[id] = n - indexes[tx];
return;
}
2) ArrayFire
This is an easy to use, free array based library.
You can do the following in ArrayFire.
using namespace af;
float h_A[] = {.333, .324, .123 , .543, .00054 .2243, .333, .53343 , .4434};
int num = 9;
// Transfer data to device
array A(9, 1, h_A);
array values, locations, original;
// Find the unique values and locations
setunique(values, locations, original, A);
// Locations are 0 based, add 1.
// Add *num* at the end to find count of last value.
array counts = diff1(join(locations + 1, num));
Disclosure: I work for AccelerEyes, that develops this software.
To answer the latest addenum to this question - the diff kernel which would complete the thrust method proposed by Pavan could look something like this:
template<int blcksz>
__global__ void diffkernel(const int *i, int* count, const int n) {
int id = blockDim.x * blockIdx.x + threadIdx.x;
int strd = blockDim.x * gridDim.x;
int nmax = blcksz * ((n/blcksz) + ((n%blcksz>0) ? 1 : 0));
__shared__ int indices[blcksz+1];
for(; id<nmax; id+=strd) {
// Data load
indices[threadIdx.x] = (id < n) ? i[id] : n;
if (threadIdx.x == (blcksz-1))
indices[blcksz] = ((id+1) < n) ? i[id+1] : n;
__syncthreads();
// Differencing calculation
int diff = indices[threadIdx.x+1] - indices[threadIdx.x];
// Store
if (id < n) count[id] = diff;
__syncthreads();
}
}
here is a solution:
__global__ void counter(float* a, int* b, int N)
{
int idx = blockIdx.x*blockDim.x+threadIdx.x;
if(idx < N)
{
float my = a[idx];
int count = 0;
for(int i=0; i < N; i++)
{
if(my == a[i])
count++;
}
b[idx]=count;
}
}
int main()
{
int threads = 9;
int blocks = 1;
int N = blocks*threads;
float* h_a;
int* h_b;
float* d_a;
int* d_b;
h_a = (float*)malloc(N*sizeof(float));
h_b = (int*)malloc(N*sizeof(int));
cudaMalloc((void**)&d_a,N*sizeof(float));
cudaMalloc((void**)&d_b,N*sizeof(int));
h_a[0]= .333f;
h_a[1]= .324f;
h_a[2]= .123f;
h_a[3]= .543f;
h_a[4]= .00054f;
h_a[5]= .2243f;
h_a[6]= .333f;
h_a[7]= .53343f;
h_a[8]= .4434f;
cudaMemcpy(d_a,h_a,N*sizeof(float),cudaMemcpyHostToDevice);
counter<<<blocks,threads>>>(d_a,d_b,N);
cudaMemcpy(h_b,d_b,N*sizeof(int),cudaMemcpyDeviceToHost);
for(int i=0; i < N; i++)
{
printf("%f = %d times\n",h_a[i],h_b[i]);
}
cudaFree(d_a);
cudaFree(d_b);
free(h_a);
free(h_b);
getchar();
return 0;
}

Calculating differences between consecutive indices fast

Given that I have the array
Let Sum be 16
dintptr = { 0 , 2, 8,11,13,15}
I want to compute the difference between consecutive indices using the GPU. So the final array should be as follows:
count = { 2, 6,3,2,2,1}
Below is my kernel:
//for this function n is 6
__global__ void kernel(int *dintptr, int * count, int n){
int id = blockDim.x * blockIdx.x + threadIdx.x;
__shared__ int indexes[256];
int need = (n % 256 ==0)?0:1;
int allow = 256 * ( n/256 + need);
while(id < allow){
if(id < n ){
indexes[threadIdx.x] = dintptr[id];
}
__syncthreads();
if(id < n - 1 ){
if(threadIdx.x % 255 == 0 ){
count[id] = indexes[threadIdx.x + 1] - indexes[threadIdx.x];
}else{
count[id] = dintptr[id+1] - dintptr[id];
}
}//end if id<n-1
__syncthreads();
id+=(gridDim.x * blockDim.x);
}//end while
}//end kernel
// For last element explicitly set count[n-1] = SUm - dintptr[n-1]
2 questions:
Is this kernel fast. Can you suggest a faster implementation?
Does this kernel handle arrays of arbitrary size ( I think it does)
I'll bite.
__global__ void kernel(int *dintptr, int * count, int n)
{
for (int id = blockDim.x * blockIdx.x + threadIdx.x;
id < n-1;
id += gridDim.x * blockDim.x)
count[id] = dintptr[id+1] - dintptr[i];
}
(Since you said you "explicitly" set the value of the last element, and you didn't in your kernel, I didn't bother to set it here either.)
I don't see a lot of advantage to using shared memory in this kernel as you do: the L1 cache on Fermi should give you nearly the same advantage since your locality is high and reuse is low.
Both your kernel and mine appear to handle arbitrary-sized arrays. Yours however appears to assume blockDim.x == 256.

CUDA kernel - nested for loop

Hello
I'm trying to write a CUDA kernel to perform the following piece of code.
for (n = 0; n < (total-1); n++)
{
a = values[n];
for ( i = n+1; i < total ; i++)
{
b = values[i] - a;
c = b*b;
if( c < 10)
newvalues[i] = c;
}
}
This is what I have currently, but it does not seem to be giving the correct results? does anyone know what I'm doing wrong. Cheers
__global__ void calc(int total, float *values, float *newvalues){
float a,b,c;
int idx = blockIdx.x * blockDim.x + threadIdx.x;
for (int n = idx; n < (total-1); n += blockDim.x*gridDim.x){
a = values[n];
for(int i = n+1; i < total; i++){
b = values[i] - a;
c = b*b;
if( c < 10)
newvalues[i] = c;
}
}
Realize this problem in 2D and launch your kernel with 2D thread blocks. The total number of threads in x and y dimension will be equal to total . The kernel code should look like this:
__global__ void calc(float *values, float *newvalues, int total){
float a,b,c;
int n= blockIdx.y * blockDim.y + threadIdx.y;
int i= blockIdx.x * blockDim.x + threadIdx.x;
if (n>=total || i>=total)
return;
a = values[n];
b = values[i] - a;
c = b*b;
if( c < 10)
newvalues[i] = c;
// I don't know your problem statement but i think it should be like: newvalues[n*total+i] = c;
}
Update:
This is how you should call the kernel
dim3 block(16,16);
dim3 grid ( (total+15)/16, (total+15)/16 );
calc<<<grid,block>>>(float *val, float *newval, int T);
Also make sure you add this line in kernel (see updated kernel)
if (n>=total || i>=total)
return;
Update 2:
fixed blockIdy.y, correct is blockIdx.y
I'll probably be way wrong but the n < (total-1) check in
for (int n = idx; n < (total-1); n += blockDim.x*gridDim.x)
seems different than the original version.
Why don't you just remove the outter loop and start the kernel with as many threads as you need for this loop? It's a bit weird to have a loop that depends on your blockId. Normally you try to avoid these loops.
Secondly it seems to me that newvalues[i] can be overriden by different threads.