std::pair<double, double> benchmark_reductor(
const vex::Context &ctx, vex::profiler<> &prof
)
{
const size_t N = 16 * 1024 * 1024;
const size_t M = 1024 / 16;
double time_elapsed;
std::vector<real> A = random_vector<real>(N);
std::vector<real> B = random_vector<real>(N);
vex::vector<real> a(ctx, A);
vex::vector<real> b(ctx, B);
vex::Reductor<real, vex::SUM> sum(ctx);
real sum_cl = sum(a * b);
sum_cl = 0;
prof.tic_cpu("OpenCL");
for(size_t i = 0; i < M; i++)
sum_cl += sum(a * b);
ctx.finish();
time_elapsed = prof.toc("OpenCL");
double gflops = 2.0 * N * M / time_elapsed / 1e9;
double bwidth = 2.0 * N * M * sizeof(real) / time_elapsed / 1e9;
std::cout
<< "Reduction (" << vex::type_name<real>() << ")\n"
<< " OpenCL"
<< "\n GFLOPS: " << gflops
<< "\n Bandwidth: " << bwidth
<< std::endl;
if (options.bm_cpu) {
real sum_cpp = 0;
prof.tic_cpu("C++");
for(size_t i = 0; i < M; i++)
sum_cpp += std::inner_product(A.begin(), A.end(), B.begin(), static_cast<real>(0));
time_elapsed = prof.toc("C++");
{
double gflops = 2.0 * N * M / time_elapsed / 1e9;
double bwidth = 2.0 * N * M * sizeof(real) / time_elapsed / 1e9;
std::cout
<< " C++"
<< "\n GFLOPS: " << gflops
<< "\n Bandwidth: " << bwidth
<< std::endl;
}
std::cout << " res = " << fabs( (sum_cl - sum_cpp) / sum_cpp )
<< std::endl << std::endl;
}
return std::make_pair(gflops, bwidth);
}
void benchmark_rng(
const vex::Context &ctx, vex::profiler<> &prof
)
{
const size_t N = 16 * 1024 * 1024;
const size_t M = 1024;
prof.tic_cpu("OpenCL (threefry)");
double rps = rng_throughput<real, vex::random::threefry>(ctx, N, M);
prof.toc("OpenCL (threefry)");
std::cout
<< "Random numbers per second (" << vex::type_name<real>() << ")\n"
<< " OpenCL (threefry): " << rps << std::endl;
prof.tic_cpu("OpenCL (philox)");
rps = rng_throughput<real, vex::random::philox>(ctx, N, M);
prof.toc("OpenCL (philox)");
std::cout
<< " OpenCL (philox): " << rps << std::endl;
if (options.bm_cpu) {
std::mt19937 rng( std::rand() );
std::uniform_real_distribution<real> rnd(0.0, 1.0);
prof.tic_cpu("C++ (mt19937)");
real s = 0;
for(size_t j = 0; j < N; j++)
s = std::max(s, rnd(rng));
double time_elapsed = prof.toc("C++ (mt19937)");
std::cout
<< " C++ (mt19937): " << N / time_elapsed << std::endl;
}
std::cout << std::endl;
}
void run_tests(const vex::Context &ctx, vex::profiler<> &prof, int n_size)
{
std::cout
<< "----------------------------------------------------------\n"
<< "Profiling \"" << vex::type_name<real>() << "\" performance\n"
<< "----------------------------------------------------------\n"
<< ctx << std::endl;
std::ostringstream fname;
fname << "profile_" << vex::type_name<real>() << ".dat";
std::ofstream log(fname.str().c_str(), std::ios::app);
log << ctx.size() << " ";
double gflops, bwidth;
prof.tic_cpu( vex::type_name<real>() );
if (options.bm_saxpy) {
prof.tic_cpu("Vector SAXPY");
std::tie(gflops, bwidth) = benchmark_saxpy<real>(ctx, prof);
prof.toc("Vector SAXPY");
log << gflops << " " << bwidth << " ";
}
if (options.bm_vector) {
prof.tic_cpu("Vector arithmetic");
std::tie(gflops, bwidth) = benchmark_vector<real>(ctx, prof);
prof.toc("Vector arithmetic");
log << gflops << " " << bwidth << " ";
}
if (options.bm_reductor) {
prof.tic_cpu("Reduction");
std::tie(gflops, bwidth) = benchmark_reductor<real>(ctx, prof, n_size);
prof.toc("Reduction");
log << gflops << " " << bwidth << " ";
}
if (options.bm_stencil) {
prof.tic_cpu("Stencil");
std::tie(gflops, bwidth) = benchmark_stencil<real>(ctx, prof);
prof.toc("Stencil");
log << gflops << " " << bwidth << " ";
}
if (options.bm_spmv) {
prof.tic_cpu("SpMV");
std::tie(gflops, bwidth) = benchmark_spmv<real>(ctx, prof);
prof.toc("SpMV");
log << gflops << " " << bwidth << std::endl;
prof.tic_cpu("SpMV (CCSR)");
std::tie(gflops, bwidth) = benchmark_spmv_ccsr<real>(ctx, prof);
prof.toc("SpMV (CCSR)");
}
if (options.bm_rng) {
prof.tic_cpu("Random number generation");
benchmark_rng<real>(ctx, prof);
prof.toc("Random number generation");
}
if (options.bm_sort) {
prof.tic_cpu("Sorting");
benchmark_sort<real>(ctx, prof);
prof.toc("Sorting");
}
/*
if (options.bm_scan) {
prof.tic_cpu("Scanning");
benchmark_scan<real>(ctx, prof);
prof.toc("Scanning");
}
*/
prof.toc( vex::type_name<real>() );
std::cout << std::endl << std::endl;
}
std::pair<double,double> benchmark_saxpy(
const vex::Context &ctx, vex::profiler<> &prof
)
{
const size_t N = 1024 * 1024;
const size_t M = 1024;
double time_elapsed;
std::vector<real> A(N, 0);
std::vector<real> B = random_vector<real>(N);
std::vector<real> alphavec = random_vector<real>(1);
real alpha = alphavec[0];
vex::vector<real> a(ctx, A);
vex::vector<real> b(ctx, B);
auto ta = vex::tag<1>(a);
ta = alpha * ta + b;
ta = 0;
prof.tic_cpu("OpenCL");
for(size_t i = 0; i < M; i++)
ta = alpha * ta + b;
ctx.finish();
time_elapsed = prof.toc("OpenCL");
double gflops = (2.0 * N * M) / time_elapsed / 1e9;
double bwidth = (3.0 * N * M * sizeof(real)) / time_elapsed / 1e9;
std::cout
<< "Vector SAXPY (" << vex::type_name<real>() << ")\n"
<< " OCL"
<< "\n GFLOPS: " << gflops
<< "\n Bandwidth: " << bwidth
<< std::endl;
if (options.bm_cpu) {
prof.tic_cpu("C++");
for(size_t i = 0; i < M; i++)
for(size_t j = 0; j < N; j++)
A[j] = alpha * A[j] + B[j];
time_elapsed = prof.toc("C++");
{
double gflops = (2.0 * N * M) / time_elapsed / 1e9;
double bwidth = (3.0 * N * M * sizeof(real)) / time_elapsed / 1e9;
std::cout
<< " C++"
<< "\n GFLOPS: " << gflops
<< "\n Bandwidth: " << bwidth
<< std::endl;
}
vex::copy(A, b);
vex::Reductor<real, vex::SUM> sum(ctx);
a -= b;
std::cout << " res = " << sum(a * a)
<< std::endl << std::endl;
}
return std::make_pair(gflops, bwidth);
}
void benchmark_scan(
const vex::Context &ctx, vex::profiler<> &prof
)
{
const size_t N = 16 * 1024 * 1024;
const size_t M = 16;
typedef typename std::conditional<
std::is_same<float, real>::value, cl_uint, cl_ulong
>::type key_type;
std::default_random_engine rng( std::rand() );
std::uniform_int_distribution<key_type> rnd;
std::vector<key_type> x0(N);
std::vector<key_type> x1(N);
std::generate(x0.begin(), x0.end(), [&]() { return rnd(rng); });
vex::vector<key_type> X0(ctx, x0);
vex::vector<key_type> X1(ctx, N);
vex::exclusive_scan(X0, X1);
ctx.finish();
prof.tic_cpu("VexCL");
for(size_t i = 0; i < M; i++)
vex::exclusive_scan(X0, X1);
ctx.finish();
double tot_time = prof.toc("VexCL");
std::cout
<< "Scan (" << vex::type_name<key_type>() << ")\n"
<< " VexCL: " << N * M / tot_time << " keys/sec\n";
#ifdef HAVE_BOOST_COMPUTE
vex::compute::exclusive_scan(X0, X1);
ctx.finish();
prof.tic_cpu("Boost.Compute");
for(size_t i = 0; i < M; i++)
vex::compute::exclusive_scan(X0, X1);
ctx.finish();
tot_time = prof.toc("Boost.Compute");
std::cout
<< " Boost.Compute: " << N * M / tot_time << " keys/sec\n";
#endif
#ifdef HAVE_CLOGS
vex::clogs::exclusive_scan(X0, X1);
ctx.finish();
prof.tic_cpu("CLOGS");
for(size_t i = 0; i < M; i++)
vex::clogs::exclusive_scan(X0, X1);
ctx.finish();
tot_time = prof.toc("CLOGS");
std::cout
<< " CLOGS: " << N * M / tot_time << " keys/sec\n";
#endif
if (options.bm_cpu) {
prof.tic_cpu("CPU");
for(size_t i = 0; i < M; i++) {
key_type sum = key_type();
for(size_t j = 0; j < N; ++j) {
key_type next = sum + x0[j];
x1[j] = sum;
sum = next;
}
}
tot_time = prof.toc("CPU");
std::cout << " CPU: " << N * M / tot_time << " keys/sec\n";
}
std::cout << std::endl;
}
void benchmark_sort(
const vex::Context &ctx, vex::profiler<> &prof
)
{
const size_t N = 16 * 1024 * 1024;
const size_t M = 16;
typedef typename std::conditional<
std::is_same<float, real>::value, cl_uint, cl_ulong
>::type key_type;
std::default_random_engine rng( std::rand() );
std::uniform_int_distribution<key_type> rnd;
std::vector<key_type> x0(N);
std::vector<key_type> x1(N);
std::generate(x0.begin(), x0.end(), [&]() { return rnd(rng); });
vex::vector<key_type> X0(ctx, x0);
vex::vector<key_type> X1(ctx, N);
X1 = X0;
vex::sort(X1);
double tot_time = 0;
for(size_t i = 0; i < M; i++) {
X1 = X0;
ctx.finish();
prof.tic_cpu("VexCL");
vex::sort(X1);
ctx.finish();
tot_time += prof.toc("VexCL");
}
std::cout
<< "Sort (" << vex::type_name<key_type>() << ")\n"
<< " VexCL: " << N * M / tot_time << " keys/sec\n";
#ifdef HAVE_BOOST_COMPUTE
X1 = X0;
vex::compute::sort(X1);
tot_time = 0;
for(size_t i = 0; i < M; i++) {
X1 = X0;
ctx.finish();
prof.tic_cpu("Boost.Compute");
vex::compute::sort(X1);
ctx.finish();
tot_time += prof.toc("Boost.Compute");
}
std::cout
<< " Boost.Compute: " << N * M / tot_time << " keys/sec\n";
#endif
#ifdef HAVE_CLOGS
X1 = X0;
vex::clogs::sort(X1);
tot_time = 0;
for(size_t i = 0; i < M; i++) {
X1 = X0;
ctx.finish();
prof.tic_cpu("CLOGS");
vex::clogs::sort(X1);
ctx.finish();
tot_time += prof.toc("CLOGS");
}
std::cout
<< " CLOGS: " << N * M / tot_time << " keys/sec\n";
#endif
if (options.bm_cpu) {
tot_time = 0;
for(size_t i = 0; i < M; i++) {
std::copy(x0.begin(), x0.end(), x1.begin());
prof.tic_cpu("STL");
std::sort(x1.begin(), x1.end());
tot_time += prof.toc("STL");
}
std::cout << " STL: " << N * M / tot_time << " keys/sec\n";
}
std::cout << std::endl;
}
std::pair<double,double> benchmark_spmv_ccsr(
const vex::Context &ctx, vex::profiler<> &prof
)
{
// Construct matrix for 3D Poisson problem in cubic domain.
const uint n = 128;
const uint N = n * n * n;
const uint M = 1024;
double time_elapsed;
const real h2i = (n - 1) * (n - 1);
std::vector<size_t> idx;
std::vector<size_t> row(3);
std::vector<int> col(8);
std::vector<real> val(8);
std::vector<real> X(n * n * n, static_cast<real>(1e-2));
std::vector<real> Y(n * n * n, 0);
idx.reserve(n * n * n);
row[0] = 0;
row[1] = 1;
row[2] = 8;
col[0] = 0;
val[0] = 1;
col[1] = -static_cast<int>(n * n);
col[2] = -static_cast<int>(n);
col[3] = -1;
col[4] = 0;
col[5] = 1;
col[6] = n;
col[7] = (n * n);
val[1] = -h2i;
val[2] = -h2i;
val[3] = -h2i;
val[4] = h2i * 6;
val[5] = -h2i;
val[6] = -h2i;
val[7] = -h2i;
for(size_t k = 0; k < n; k++) {
for(size_t j = 0; j < n; j++) {
for(size_t i = 0; i < n; i++) {
if (
i == 0 || i == (n - 1) ||
j == 0 || j == (n - 1) ||
k == 0 || k == (n - 1)
)
{
idx.push_back(0);
} else {
idx.push_back(1);
}
}
}
}
size_t nnz = 6 * (n - 2) * (n - 2) * (n - 2) + n * n * n;
// Transfer data to compute devices.
vex::SpMatCCSR<real,int> A(ctx.queue(0), n * n * n, 2,
idx.data(), row.data(), col.data(), val.data());
std::vector<vex::command_queue> q1(1, ctx.queue(0));
vex::vector<real> x(q1, X);
vex::vector<real> y(q1, Y);
// Get timings.
y += A * x;
y = 0;
prof.tic_cpu("OpenCL");
for(size_t i = 0; i < M; i++)
y += A * x;
ctx.finish();
time_elapsed = prof.toc("OpenCL");
double gflops = (2.0 * nnz + N) * M / time_elapsed / 1e9;
double bwidth = M * (nnz * (2 * sizeof(real) + sizeof(int)) + 4 * N * sizeof(real)) / time_elapsed / 1e9;
std::cout
<< "SpMV (CCSR) (" << vex::type_name<real>() << ")\n"
<< " OpenCL"
<< "\n GFLOPS: " << gflops
<< "\n Bandwidth: " << bwidth
<< std::endl;
if (options.bm_cpu) {
prof.tic_cpu("C++");
for(size_t k = 0; k < M; k++)
for(size_t i = 0; i < N; i++) {
real s = 0;
for(size_t j = row[idx[i]]; j < row[idx[i] + 1]; j++)
s += val[j] * X[i + col[j]];
Y[i] += s;
}
time_elapsed = prof.toc("C++");
{
double gflops = (2.0 * nnz + N) * M / time_elapsed / 1e9;
double bwidth = M * (nnz * (2 * sizeof(real) + sizeof(int)) + 4 * N * sizeof(real)) / time_elapsed / 1e9;
std::cout
<< " C++"
<< "\n GFLOPS: " << gflops
<< "\n Bandwidth: " << bwidth
<< std::endl;
}
copy(Y, x);
y -= x;
vex::Reductor<real, vex::SUM> sum(q1);
std::cout << " res = " << sum(y * y) << std::endl << std::endl;
}
return std::make_pair(gflops, bwidth);
}
std::pair<double,double> benchmark_spmv(
const vex::Context &ctx, vex::profiler<> &prof
)
{
// Construct matrix for 3D Poisson problem in cubic domain.
const size_t n = 128;
const size_t N = n * n * n;
const size_t M = 1024;
double time_elapsed;
const real h2i = (n - 1) * (n - 1);
std::vector<size_t> row;
std::vector<uint> col;
std::vector<real> val;
std::vector<real> X(n * n * n, static_cast<real>(1e-2));
std::vector<real> Y(n * n * n, 0);
row.reserve(n * n * n + 1);
col.reserve(6 * (n - 2) * (n - 2) * (n - 2) + n * n * n);
val.reserve(6 * (n - 2) * (n - 2) * (n - 2) + n * n * n);
row.push_back(0);
for(size_t k = 0, idx = 0; k < n; k++) {
for(size_t j = 0; j < n; j++) {
for(size_t i = 0; i < n; i++, idx++) {
if (
i == 0 || i == (n - 1) ||
j == 0 || j == (n - 1) ||
k == 0 || k == (n - 1)
)
{
col.push_back(idx);
val.push_back(1);
row.push_back(row.back() + 1);
} else {
col.push_back(idx - n * n);
val.push_back(-h2i);
col.push_back(idx - n);
val.push_back(-h2i);
col.push_back(idx - 1);
val.push_back(-h2i);
col.push_back(idx);
val.push_back(6 * h2i);
col.push_back(idx + 1);
val.push_back(-h2i);
col.push_back(idx + n);
val.push_back(-h2i);
col.push_back(idx + n * n);
val.push_back(-h2i);
row.push_back(row.back() + 7);
}
}
}
}
size_t nnz = row.back();
// Transfer data to compute devices.
vex::SpMat<real,uint> A(ctx, n * n * n, n * n * n, row.data(), col.data(), val.data());
vex::vector<real> x(ctx, X);
vex::vector<real> y(ctx, Y);
// Get timings.
y += A * x;
y = 0;
prof.tic_cpu("OpenCL");
for(size_t i = 0; i < M; i++)
y += A * x;
ctx.finish();
time_elapsed = prof.toc("OpenCL");
double gflops = M / time_elapsed / 1e9 * (2.0 * nnz + N);
double bwidth = M / time_elapsed / 1e9 * (nnz * (2 * sizeof(real) + sizeof(size_t)) + 4 * N * sizeof(real));
std::cout
<< "SpMV (" << vex::type_name<real>() << ")\n"
<< " OpenCL"
<< "\n GFLOPS: " << gflops
<< "\n Bandwidth: " << bwidth
<< std::endl;
if (options.bm_cpu) {
prof.tic_cpu("C++");
for(size_t k = 0; k < M; k++)
for(size_t i = 0; i < N; i++) {
real s = 0;
for(size_t j = row[i]; j < row[i + 1]; j++)
s += val[j] * X[col[j]];
Y[i] += s;
}
time_elapsed = prof.toc("C++");
{
double gflops = M / time_elapsed / 1e9 * (2.0 * nnz + N);
double bwidth = M / time_elapsed / 1e9 * (nnz * (2 * sizeof(real) + sizeof(size_t)) + 4 * N * sizeof(real));
std::cout
<< " C++"
<< "\n GFLOPS: " << gflops
<< "\n Bandwidth: " << bwidth
<< std::endl;
}
copy(Y, x);
y -= x;
vex::Reductor<real, vex::SUM> sum(ctx);
std::cout << " res = " << sum(y * y) << std::endl << std::endl;
}
return std::make_pair(gflops, bwidth);
}
std::pair<double, double> benchmark_stencil(
const vex::Context &ctx, vex::profiler<> &prof
)
{
const long N = 1024 * 1024;
const long M = 1024;
double time_elapsed;
std::vector<real> A = random_vector<real>(N);
std::vector<real> B(N);
std::vector<real> S(21, static_cast<real>(1) / 21);
long center = S.size() / 2;
vex::stencil<real> s(ctx, S, center);
vex::vector<real> a(ctx, A);
vex::vector<real> b(ctx, N);
b = a * s;
prof.tic_cpu("OpenCL");
for(long i = 0; i < M; i++)
b = a * s;
ctx.finish();
time_elapsed = prof.toc("OpenCL");
double gflops = 2.0 * S.size() * N * M / time_elapsed / 1e9;
double bwidth = 2.0 * S.size() * N * M * sizeof(real) / time_elapsed / 1e9;
std::cout
<< "Stencil convolution (" << vex::type_name<real>() << ")\n"
<< " OpenCL"
<< "\n GFLOPS: " << gflops
<< "\n Bandwidth: " << bwidth
<< std::endl;
if (options.bm_cpu) {
prof.tic_cpu("C++");
for(long j = 0; j < M; j++) {
for(long i = 0; i < N; i++) {
real sum = 0;
for(long k = 0; k < (long)S.size(); k++)
sum += S[k] * A[std::min<long>(N-1, std::max<long>(0, i + k - center))];
B[i] = sum;
}
}
time_elapsed = prof.toc("C++");
{
double gflops = 2.0 * S.size() * N * M / time_elapsed / 1e9;
double bwidth = 2.0 * S.size() * N * M * sizeof(real) / time_elapsed / 1e9;
std::cout
<< " C++"
<< "\n GFLOPS: " << gflops
<< "\n Bandwidth: " << bwidth
<< std::endl;
}
vex::Reductor<real, vex::MAX> max(ctx);
copy(B, a);
std::cout << " res = " << max(fabs(a - b))
<< std::endl << std::endl;
}
return std::make_pair(gflops, bwidth);
}
std::pair<double,double> benchmark_vector(
const vex::Context &ctx, vex::profiler<> &prof
)
{
const size_t N = 1024 * 1024;
const size_t M = 1024;
double time_elapsed;
std::vector<real> A(N, 0);
std::vector<real> B = random_vector<real>(N);
std::vector<real> C = random_vector<real>(N);
std::vector<real> D = random_vector<real>(N);
vex::vector<real> a(ctx, A);
vex::vector<real> b(ctx, B);
vex::vector<real> c(ctx, C);
vex::vector<real> d(ctx, D);
a += b + c * d;
a = 0;
prof.tic_cpu("OpenCL");
for(size_t i = 0; i < M; i++)
a += b + c * d;
ctx.finish();
time_elapsed = prof.toc("OpenCL");
double gflops = (3.0 * N * M) / time_elapsed / 1e9;
double bwidth = (5.0 * N * M * sizeof(real)) / time_elapsed / 1e9;
std::cout
<< "Vector arithmetic (" << vex::type_name<real>() << ")\n"
<< " OCL"
<< "\n GFLOPS: " << gflops
<< "\n Bandwidth: " << bwidth
<< std::endl;
if (options.bm_cpu) {
prof.tic_cpu("C++");
for(size_t i = 0; i < M; i++)
for(size_t j = 0; j < N; j++)
A[j] += B[j] + C[j] * D[j];
time_elapsed = prof.toc("C++");
{
double gflops = (3.0 * N * M) / time_elapsed / 1e9;
double bwidth = (5.0 * N * M * sizeof(real)) / time_elapsed / 1e9;
std::cout
<< " C++"
<< "\n GFLOPS: " << gflops
<< "\n Bandwidth: " << bwidth
<< std::endl;
}
vex::copy(A, b);
vex::Reductor<real, vex::SUM> sum(ctx);
a -= b;
std::cout << " res = " << sum(a * a)
<< std::endl << std::endl;
}
return std::make_pair(gflops, bwidth);
}