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Visible to Intel only — GUID: GUID-3079E50F-200E-4F1E-868A-3CD005E370E5
Visible to Intel only — GUID: GUID-3079E50F-200E-4F1E-868A-3CD005E370E5
Simple Examples
For a given kernel:
OpenMP:
int *a = (int *)omp_target_alloc(sizeof(int) * N, device_id);
#pragma omp target teams distribute parallel for simd
for (int i = 0; i < N; ++i)
{
a[i] = i;
}
SYCL:
int *a = sycl::malloc_device<int>(N, q);
q.parallel_for(N, [=](auto i) {
a[i] = i;
});
implicit scaling guarantees 100% local memory accesses. The behavior of static partitioning and memory coloring is visualized below:
In the following section, we demonstrate implicit scaling performance for STREAM benchmark using 1D and 3D kernel launches on Intel® Data Center GPU Max.
STREAM
Consider the STREAM benchmark written in OpenMP. The main kernel is on line 44-48:
// Code for STREAM:
#include <iostream>
#include <omp.h>
#include <cstdint>
// compile via:
// icpx -O2 -fiopenmp -fopenmp-targets=spir64 ./stream.cpp
int main()
{
constexpr int64_t N = 256 * 1e6;
constexpr int64_t bytes = N * sizeof(int64_t);
int64_t *a = static_cast<int64_t *>(malloc(bytes));
int64_t *b = static_cast<int64_t *>(malloc(bytes));
int64_t *c = static_cast<int64_t *>(malloc(bytes));
#pragma omp target enter data map(alloc:a[0:N])
#pragma omp target enter data map(alloc:b[0:N])
#pragma omp target enter data map(alloc:c[0:N])
for (int i = 0; i < N; ++i)
{
a[i] = i + 1;
b[i] = i - 1;
}
#pragma omp target update to(a[0:N])
#pragma omp target update to(b[0:N])
const int no_max_rep = 100;
double time;
for (int irep = 0; irep < no_max_rep + 10; ++irep)
{
if (irep == 10)
time = omp_get_wtime();
#pragma omp target teams distribute parallel for simd
for (int i = 0; i < N; ++i)
{
c[i] = a[i] + b[i];
}
}
time = omp_get_wtime() - time;
time = time / no_max_rep;
#pragma omp target update from(c[0:N])
for (int i = 0; i < N; ++i)
{
if (c[i] != 2 * i)
{
std::cout << "wrong results!" << std::endl;
exit(1);
}
}
const int64_t streamed_bytes = 3 * N * sizeof(int64_t);
std::cout << "bandwidth = " << (streamed_bytes / time) * 1E-9
<< " GB/s" << std::endl;
}
The benchmark runs on the entire root-device by enabling implicit scaling through EnableImplicitScaling=1. No code changes are required. The heuristics of static partitioning and memory coloring guarantee that each stack accesses local memory only. On 2-stack Intel® Data Center GPU Max system we measure 2x speed-up for STREAM compared to single stack. Measured bandwidth is reported in below table:
Array Size [MB] |
1-stack Bandwidth [GB/s] |
Implicit Scaling Bandwidth [GB/s] |
Implicit Scaling Speed-up over 1-stack |
|---|---|---|---|
512 |
1056 |
2074 |
1.96x |
1024 |
1059 |
2127 |
2x |
2048 |
1063 |
2113 |
1.99x |
3D STREAM
The STREAM benchmark can be modified to use 3D kernel launch via collapse clause in OpenMP. The intent here is to show performance in case driver heuristics are used to partition 3D kernel launch between stacks. The kernel is on line 59-70:
// Code for 3D STREAM
#include <iostream>
#include <omp.h>
#include <cassert>
// compile via:
// icpx -O2 -fiopenmp -fopenmp-targets=spir64 ./stream_3D.cpp
int main(int argc, char **argv)
{
const int device_id = omp_get_default_device();
const int desired_total_size = 32 * 512 * 16384;
const std::size_t bytes = desired_total_size * sizeof(int64_t);
std::cout << "memory footprint = " << 3 * bytes * 1E-9 << " GB"
<< std::endl;
int64_t *a = static_cast<int64_t*>(omp_target_alloc_device(bytes, device_id));
int64_t *b = static_cast<int64_t*>(omp_target_alloc_device(bytes, device_id));
int64_t *c = static_cast<int64_t*>(omp_target_alloc_device(bytes, device_id));
const int min = 64;
const int max = 32768;
for (int lx = min; lx < max; lx *= 2)
{
for (int ly = min; ly < max; ly *= 2)
{
for (int lz = min; lz < max; lz *= 2)
{
const int total_size = lx * ly * lz;
if (total_size != desired_total_size)
continue;
std::cout << "lx=" << lx << " ly=" << ly << " lz="
<< lz << ", ";
#pragma omp target teams distribute parallel for simd
for (int i = 0; i < total_size; ++i)
{
a[i] = i + 1;
b[i] = i - 1;
c[i] = 0;
}
const int no_max_rep = 40;
const int warmup = 10;
double time;
for (int irep = 0; irep < no_max_rep + warmup; ++irep)
{
if (irep == warmup) time = omp_get_wtime();
#pragma omp target teams distribute parallel for simd collapse(3)
for (int iz = 0; iz < lz; ++iz)
{
for (int iy = 0; iy < ly; ++iy)
{
for (int ix = 0; ix < lx; ++ix)
{
const int index = ix + iy * lx + iz * lx * ly;
c[index] = a[index] + b[index];
}
}
}
}
time = omp_get_wtime() - time;
time = time / no_max_rep;
const int64_t streamed_bytes = 3 * total_size * sizeof(int64_t);
std::cout << "bandwidth = " << (streamed_bytes / time) * 1E-9
<< " GB/s" << std::endl;
#pragma omp target teams distribute parallel for simd
for (int i = 0; i < total_size; ++i)
{
assert(c[i] == 2 * i);
}
}
}
}
omp_target_free(a, device_id);
omp_target_free(b, device_id);
omp_target_free(c, device_id);
}
Note that the inner-most loop has stride-1 memory access pattern. If z- or y-loop were the inner-most loop, performance would decrease due to generation of scatter loads and stores leading to poor cache line utilization. On 2-stack Intel® Data Center GPU Max with 2 GB array size, we measure below performance:
nx |
ny |
nz |
1-stack Bandwidth [GB/s] |
Implicit Scaling Bandwidth [GB/s] |
Implicit Scaling Speed-up over 1-stack |
|---|---|---|---|---|---|
64 |
256 |
16834 |
1040 |
2100 |
2.01x |
16834 |
64 |
256 |
1040 |
2077 |
1.99x |
256 |
16834 |
64 |
1037 |
2079 |
2x |
As described in Static Partitioning, for these loop bounds driver partitions slowest moving dimension, i.e. z, between both stacks. This guarantees that each stack accesses local memory only leading to close to 2x implicit scaling compared to single stack.