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//@HEADER
// ************************************************************************
//
// Kokkos v. 4.0
// Copyright (2022) National Technology & Engineering
// Solutions of Sandia, LLC (NTESS).
//
// Under the terms of Contract DE-NA0003525 with NTESS,
// the U.S. Government retains certain rights in this software.
//
// Part of Kokkos, under the Apache License v2.0 with LLVM Exceptions.
// See https://kokkos.org/LICENSE for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//@HEADER
#include <Kokkos_Core.hpp>
#include <benchmark/benchmark.h>
#include "Benchmark_Context.hpp"
#include "PerfTest_Category.hpp"
namespace Test {
template <class DeviceType, typename CoordScalarType = double,
typename GradScalarType = float>
struct HexGrad {
using execution_space = DeviceType;
using size_type = typename execution_space::size_type;
using self_type = HexGrad<DeviceType, CoordScalarType, GradScalarType>;
// 3D array : ( ParallelWork , Space , Node )
enum { NSpace = 3, NNode = 8 };
using elem_coord_type =
Kokkos::View<CoordScalarType* [NSpace][NNode], execution_space>;
using elem_grad_type =
Kokkos::View<GradScalarType* [NSpace][NNode], execution_space>;
elem_coord_type coords;
elem_grad_type grad_op;
enum { FLOPS = 318 }; // = 3 * ( 18 + 8 * 11 ) };
enum { READS = 18 };
enum { WRITES = 18 };
HexGrad(const elem_coord_type& arg_coords, const elem_grad_type& arg_grad_op)
: coords(arg_coords), grad_op(arg_grad_op) {}
KOKKOS_INLINE_FUNCTION static void grad(const CoordScalarType x[],
const CoordScalarType z[],
GradScalarType grad_y[]) {
const GradScalarType R42 = (x[3] - x[1]);
const GradScalarType R52 = (x[4] - x[1]);
const GradScalarType R54 = (x[4] - x[3]);
const GradScalarType R63 = (x[5] - x[2]);
const GradScalarType R83 = (x[7] - x[2]);
const GradScalarType R86 = (x[7] - x[5]);
const GradScalarType R31 = (x[2] - x[0]);
const GradScalarType R61 = (x[5] - x[0]);
const GradScalarType R74 = (x[6] - x[3]);
const GradScalarType R72 = (x[6] - x[1]);
const GradScalarType R75 = (x[6] - x[4]);
const GradScalarType R81 = (x[7] - x[0]);
const GradScalarType t1 = (R63 + R54);
const GradScalarType t2 = (R61 + R74);
const GradScalarType t3 = (R72 + R81);
const GradScalarType t4 = (R86 + R42);
const GradScalarType t5 = (R83 + R52);
const GradScalarType t6 = (R75 + R31);
// Calculate Y gradient from X and Z data
grad_y[0] = (z[1] * t1) - (z[2] * R42) - (z[3] * t5) + (z[4] * t4) +
(z[5] * R52) - (z[7] * R54);
grad_y[1] = (z[2] * t2) + (z[3] * R31) - (z[0] * t1) - (z[5] * t6) +
(z[6] * R63) - (z[4] * R61);
grad_y[2] = (z[3] * t3) + (z[0] * R42) - (z[1] * t2) - (z[6] * t4) +
(z[7] * R74) - (z[5] * R72);
grad_y[3] = (z[0] * t5) - (z[1] * R31) - (z[2] * t3) + (z[7] * t6) +
(z[4] * R81) - (z[6] * R83);
grad_y[4] = (z[5] * t3) + (z[6] * R86) - (z[7] * t2) - (z[0] * t4) -
(z[3] * R81) + (z[1] * R61);
grad_y[5] = (z[6] * t5) - (z[4] * t3) - (z[7] * R75) + (z[1] * t6) -
(z[0] * R52) + (z[2] * R72);
grad_y[6] = (z[7] * t1) - (z[5] * t5) - (z[4] * R86) + (z[2] * t4) -
(z[1] * R63) + (z[3] * R83);
grad_y[7] = (z[4] * t2) - (z[6] * t1) + (z[5] * R75) - (z[3] * t6) -
(z[2] * R74) + (z[0] * R54);
}
KOKKOS_INLINE_FUNCTION
void operator()(size_type ielem) const {
GradScalarType g[NNode];
const CoordScalarType x[NNode] = {coords(ielem, 0, 0), coords(ielem, 0, 1),
coords(ielem, 0, 2), coords(ielem, 0, 3),
coords(ielem, 0, 4), coords(ielem, 0, 5),
coords(ielem, 0, 6), coords(ielem, 0, 7)};
const CoordScalarType y[NNode] = {coords(ielem, 1, 0), coords(ielem, 1, 1),
coords(ielem, 1, 2), coords(ielem, 1, 3),
coords(ielem, 1, 4), coords(ielem, 1, 5),
coords(ielem, 1, 6), coords(ielem, 1, 7)};
const CoordScalarType z[NNode] = {coords(ielem, 2, 0), coords(ielem, 2, 1),
coords(ielem, 2, 2), coords(ielem, 2, 3),
coords(ielem, 2, 4), coords(ielem, 2, 5),
coords(ielem, 2, 6), coords(ielem, 2, 7)};
grad(z, y, g);
grad_op(ielem, 0, 0) = g[0];
grad_op(ielem, 0, 1) = g[1];
grad_op(ielem, 0, 2) = g[2];
grad_op(ielem, 0, 3) = g[3];
grad_op(ielem, 0, 4) = g[4];
grad_op(ielem, 0, 5) = g[5];
grad_op(ielem, 0, 6) = g[6];
grad_op(ielem, 0, 7) = g[7];
grad(x, z, g);
grad_op(ielem, 1, 0) = g[0];
grad_op(ielem, 1, 1) = g[1];
grad_op(ielem, 1, 2) = g[2];
grad_op(ielem, 1, 3) = g[3];
grad_op(ielem, 1, 4) = g[4];
grad_op(ielem, 1, 5) = g[5];
grad_op(ielem, 1, 6) = g[6];
grad_op(ielem, 1, 7) = g[7];
grad(y, x, g);
grad_op(ielem, 2, 0) = g[0];
grad_op(ielem, 2, 1) = g[1];
grad_op(ielem, 2, 2) = g[2];
grad_op(ielem, 2, 3) = g[3];
grad_op(ielem, 2, 4) = g[4];
grad_op(ielem, 2, 5) = g[5];
grad_op(ielem, 2, 6) = g[6];
grad_op(ielem, 2, 7) = g[7];
}
//--------------------------------------------------------------------------
struct Init {
using execution_space = typename self_type::execution_space;
elem_coord_type coords;
Init(const elem_coord_type& arg_coords) : coords(arg_coords) {}
KOKKOS_INLINE_FUNCTION
void operator()(size_type ielem) const {
coords(ielem, 0, 0) = 0.;
coords(ielem, 1, 0) = 0.;
coords(ielem, 2, 0) = 0.;
coords(ielem, 0, 1) = 1.;
coords(ielem, 1, 1) = 0.;
coords(ielem, 2, 1) = 0.;
coords(ielem, 0, 2) = 1.;
coords(ielem, 1, 2) = 1.;
coords(ielem, 2, 2) = 0.;
coords(ielem, 0, 3) = 0.;
coords(ielem, 1, 3) = 1.;
coords(ielem, 2, 3) = 0.;
coords(ielem, 0, 4) = 0.;
coords(ielem, 1, 4) = 0.;
coords(ielem, 2, 4) = 1.;
coords(ielem, 0, 5) = 1.;
coords(ielem, 1, 5) = 0.;
coords(ielem, 2, 5) = 1.;
coords(ielem, 0, 6) = 1.;
coords(ielem, 1, 6) = 1.;
coords(ielem, 2, 6) = 1.;
coords(ielem, 0, 7) = 0.;
coords(ielem, 1, 7) = 1.;
coords(ielem, 2, 7) = 1.;
}
};
//--------------------------------------------------------------------------
static double test(const int count) {
elem_coord_type coord("coord", count);
elem_grad_type grad("grad", count);
// Execute the parallel kernels on the arrays:
Kokkos::parallel_for(count, Init(coord));
execution_space().fence();
Kokkos::Timer timer;
Kokkos::parallel_for(count, HexGrad<execution_space>(coord, grad));
execution_space().fence();
return timer.seconds();
}
};
template <class CoordScalarType>
static void HexGrad_Benchmark(benchmark::State& state) {
const auto parallel_work_length = state.range(0);
for (auto _ : state) {
const auto time =
HexGrad<Kokkos::DefaultExecutionSpace, CoordScalarType>::test(
parallel_work_length);
state.SetIterationTime(time);
state.counters["Count"] = benchmark::Counter(parallel_work_length);
state.counters["Time normalized"] =
benchmark::Counter(time / parallel_work_length);
}
}
BENCHMARK(HexGrad_Benchmark<double>)
->ArgName("count")
->ArgsProduct({
benchmark::CreateRange(1 << 10, 1 << 19, 2),
})
->UseManualTime()
->Iterations(5);
} // namespace Test
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