//===----------------------------------------------------------------------===// // // Part of CUDASTF in CUDA C++ Core Libraries, // under the Apache License v2.0 with LLVM Exceptions. // See https://llvm.org/LICENSE.txt for license information. // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception // SPDX-FileCopyrightText: Copyright (c) 2022-2024 NVIDIA CORPORATION & AFFILIATES. // //===----------------------------------------------------------------------===// /** * @file * * @brief An example solving Maxwell equations in 3D using FDTD on multiple devices */ #include #include using namespace cuda::experimental::stf; // FIXME : MSVC has trouble with box constructors #if !_CCCL_COMPILER(MSVC) void write_vtk_2D(const std::string& filename, slice Ez, double dx, double dy, double /*unused*/) { FILE* f = fopen(filename.c_str(), "w"); const size_t pos_z = Ez.extent(2) / 2; const size_t nx = Ez.extent(0); const size_t size = Ez.extent(0) * Ez.extent(1); fprintf(f, "# vtk DataFile Version 3.0\n"); fprintf(f, "vtk output\n"); fprintf(f, "ASCII\n"); fprintf(f, "DATASET UNSTRUCTURED_GRID\n"); fprintf(f, "POINTS %ld float\n", 4 * size); for (size_t y = 0; y < Ez.extent(1); y++) { for (size_t x = 0; x < Ez.extent(0); x++) { fprintf(f, "%lf %lf 0.0\n", dx * static_cast(x + 0), dy * static_cast(y + 0)); fprintf(f, "%lf %lf 0.0\n", dx * static_cast(x + 1), dy * static_cast(y + 0)); fprintf(f, "%lf %lf 0.0\n", dx * static_cast(x + 1), dy * static_cast(y + 1)); fprintf(f, "%lf %lf 0.0\n", dx * static_cast(x + 0), dy * static_cast(y + 1)); } } fprintf(f, "CELLS %ld %ld\n", size, 5 * size); size_t cell_id = 0; for (size_t y = 0; y < Ez.extent(1); y++) { for (size_t x = 0; x < Ez.extent(0); x++) { const size_t point_offset = cell_id * 4; fprintf(f, "4 %d %d %d %d\n", (int) (point_offset + 0), (int) (point_offset + 1), (int) (point_offset + 2), (int) (point_offset + 3)); cell_id++; } } fprintf(f, "CELL_TYPES %ld\n", size); for (size_t ii = 0; ii < size; ii++) { fprintf(f, "5\n"); } fprintf(f, "CELL_DATA %ld\n", size); fprintf(f, "SCALARS Ez double 1\n"); fprintf(f, "LOOKUP_TABLE default\n"); for (size_t y = 0; y < Ez.extent(1); y++) { for (size_t x = 0; x < Ez.extent(0); x++) { fprintf(f, "%lf\n", Ez(x, y, pos_z)); } } fclose(f); } // Define the source function _CCCL_DEVICE double Source(double t, double x, double y, double z) { constexpr double pi = 3.14159265358979323846; constexpr double freq = 1e9; constexpr double omega = (2 * pi * freq); constexpr double wavelength = 3e8 / freq; constexpr double k = 2 * pi / wavelength; return sin(k * x - omega * t); } #endif // !_CCCL_COMPILER(MSVC) int main([[maybe_unused]] int argc, [[maybe_unused]] char** argv) { #if !_CCCL_COMPILER(MSVC) # if _CCCL_CTK_BELOW(12, 4) fprintf(stderr, "Waiving test: conditional nodes are only available since CUDA 12.4.\n"); return 0; # else stackable_ctx ctx; // Initialize the time loop size_t timesteps = 10; if (argc > 1) { timesteps = (size_t) atol(argv[1]); } // No output by default int output_freq = -1; if (argc > 2) { output_freq = atoi(argv[2]); } // Domain dimensions const size_t SIZE_X = 100; const size_t SIZE_Y = 100; const size_t SIZE_Z = 100; // Grid spacing const double DX = 0.01; const double DY = 0.01; const double DZ = 0.01; // Define the electric and magnetic fields auto data_shape = shape_of>(SIZE_X, SIZE_Y, SIZE_Z); auto lEx = ctx.logical_data(data_shape); auto lEy = ctx.logical_data(data_shape); auto lEz = ctx.logical_data(data_shape); auto lHx = ctx.logical_data(data_shape); auto lHy = ctx.logical_data(data_shape); auto lHz = ctx.logical_data(data_shape); // Define the permittivity and permeability of the medium auto lepsilon = ctx.logical_data(data_shape); auto lmu = ctx.logical_data(data_shape); const double EPSILON = 8.85e-12; // Permittivity of free space const double MU = 1.256e-6; // Permeability of free space // CFL condition DT <= min(DX, DY, DZ) * sqrt(epsilon_max * mu_max) double DT = 0.25 * min(min(DX, DY), DZ) * sqrt(EPSILON * MU); // Initialize E ctx.parallel_for(data_shape, lEx.write(), lEy.write(), lEz.write()) ->*[] _CCCL_DEVICE(size_t i, size_t j, size_t k, auto Ex, auto Ey, auto Ez) { Ex(i, j, k) = 0.0; Ey(i, j, k) = 0.0; Ez(i, j, k) = 0.0; }; // Initialize H ctx.parallel_for(data_shape, lHx.write(), lHy.write(), lHz.write()) ->*[] _CCCL_DEVICE(size_t i, size_t j, size_t k, auto Hx, auto Hy, auto Hz) { Hx(i, j, k) = 0.0; Hy(i, j, k) = 0.0; Hz(i, j, k) = 0.0; }; // Initialize permittivity and permeability fields ctx.parallel_for(data_shape, lepsilon.write(), lmu.write()) ->*[=] _CCCL_DEVICE(size_t i, size_t j, size_t k, auto epsilon, auto mu) { epsilon(i, j, k) = EPSILON; mu(i, j, k) = MU; }; // Set the source function at the center of the grid const size_t center_x = SIZE_X / 2; const size_t center_y = SIZE_Y / 2; const size_t center_z = SIZE_Z / 2; /* Index shapes for Electric fields, Magnetic fields, and the indices where there is a source */ box Es({1ul, SIZE_X - 1}, {1ul, SIZE_Y - 1}, {1ul, SIZE_Z - 1}); box Hs({0ul, SIZE_X - 1}, {0ul, SIZE_Y - 1}, {0ul, SIZE_Z - 1}); box source_s({center_x, center_x + 1}, {center_y, center_y + 1}, {center_z, center_z + 1}); int iterations_per_graph = (output_freq == -1) ? timesteps : output_freq; for (size_t n = 0; n < timesteps / iterations_per_graph; n++) { fprintf(stderr, "WHILE BLAAAAA...\n"); // Counter for while loop iterations auto counter_shape = shape_of>(); auto lcounter = ctx.logical_data(counter_shape); // Initialize counter ctx.parallel_for(box(1), lcounter.write())->*[=] __device__(size_t, auto counter) { *counter = iterations_per_graph; }; auto while_guard = ctx.while_graph_scope(); { // Update the electric fields // Update Ex ctx.parallel_for(Es, lEx.rw(), lHy.read(), lHz.read(), lepsilon.read()) ->*[=] _CCCL_DEVICE(size_t i, size_t j, size_t k, auto Ex, auto Hy, auto Hz, auto epsilon) { Ex(i, j, k) = Ex(i, j, k) + (DT / (epsilon(i, j, k) * DX)) * (Hz(i, j, k) - Hz(i, j - 1, k) - Hy(i, j, k) + Hy(i, j, k - 1)); }; // Update Ey ctx.parallel_for(Es, lEy.rw(), lHx.read(), lHz.read(), lepsilon.read()) ->*[=] _CCCL_DEVICE(size_t i, size_t j, size_t k, auto Ey, auto Hx, auto Hz, auto epsilon) { Ey(i, j, k) = Ey(i, j, k) + (DT / (epsilon(i, j, k) * DY)) * (Hx(i, j, k) - Hx(i, j, k - 1) - Hz(i, j, k) + Hz(i - 1, j, k)); }; // Update Ez ctx.parallel_for(Es, lEz.rw(), lHx.read(), lHy.read(), lepsilon.read()) ->*[=] _CCCL_DEVICE(size_t i, size_t j, size_t k, auto Ez, auto Hx, auto Hy, auto epsilon) { Ez(i, j, k) = Ez(i, j, k) + (DT / (epsilon(i, j, k) * DZ)) * (Hy(i, j, k) - Hy(i - 1, j, k) - Hx(i, j, k) + Hx(i, j - 1, k)); }; // Add the source function at the center of the grid ctx.parallel_for(source_s, lEz.rw())->*[=] _CCCL_DEVICE(size_t i, size_t j, size_t k, auto Ez) { Ez(i, j, k) = Ez(i, j, k) + Source(n * DT, i * DX, j * DY, k * DZ); }; // Update the magnetic fields // Update Hx ctx.parallel_for(Hs, lHx.rw(), lEy.read(), lEz.read(), lmu.read()) ->*[=] _CCCL_DEVICE(size_t i, size_t j, size_t k, auto Hx, auto Ey, auto Ez, auto mu) { Hx(i, j, k) = Hx(i, j, k) - (DT / (mu(i, j, k) * DY)) * (Ez(i, j + 1, k) - Ez(i, j, k) - Ey(i, j, k + 1) + Ey(i, j, k)); }; // Update Hy ctx.parallel_for(Hs, lHy.rw(), lEx.read(), lEz.read(), lmu.read()) ->*[=] _CCCL_DEVICE(size_t i, size_t j, size_t k, auto Hy, auto Ex, auto Ez, auto mu) { Hy(i, j, k) = Hy(i, j, k) - (DT / (mu(i, j, k) * DZ)) * (Ex(i, j, k + 1) - Ex(i, j, k) - Ez(i + 1, j, k) + Ez(i, j, k)); }; // Update Hz ctx.parallel_for(Hs, lHz.rw(), lEx.read(), lEy.read(), lmu.read()) ->*[=] _CCCL_DEVICE(size_t i, size_t j, size_t k, auto Hz, auto Ex, auto Ey, auto mu) { Hz(i, j, k) = Hz(i, j, k) - (DT / (mu(i, j, k) * DX)) * (Ey(i + 1, j, k) - Ey(i, j, k) - Ex(i, j + 1, k) + Ex(i, j, k)); }; auto handle = while_guard.cond_handle(); ctx.parallel_for(box(1), lcounter.rw())->*[handle] __device__(size_t, auto counter) { (*counter)--; bool should_continue = (*counter > 0); cudaGraphSetConditional(handle, should_continue); }; } // end of the while pattern if (output_freq > 0 && n % output_freq == 0) { ctx.host_launch(lEz.read())->*[=](auto Ez) { // Output the electric field at the center of the grid fprintf(stderr, "%ld\t%le\n", n, Ez(center_x, center_y, center_z)); std::string filename = "Ez" + std::to_string(n) + ".vtk"; // Dump a 2D slice of Ez in VTK write_vtk_2D(filename, Ez, DX, DY, DZ); }; } } ctx.finalize(); # endif // _CCCL_CTK_AT_LEAST(12, 4) #endif // !_CCCL_COMPILER(MSVC) }