//===----------------------------------------------------------------------===// // // 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 FDTD example using the repeat_n helper function * * This shows how to refactor the original fdtd_while.cu example * to use the new repeat_n helper for cleaner loop patterns. */ #include #include #include using namespace cuda::experimental::stf; // 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); } int main([[maybe_unused]] int argc, [[maybe_unused]] char** argv) { #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]); } // Domain dimensions (smaller for this example) const size_t SIZE_X = 50; const size_t SIZE_Y = 50; const size_t SIZE_Z = 50; // 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 fields 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 fields 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 location 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 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}); std::cout << "Running FDTD simulation for " << timesteps << " timesteps" << '\n'; std::cout << "Grid size: " << SIZE_X << "x" << SIZE_Y << "x" << SIZE_Z << '\n'; { auto repeat_guard = ctx.repeat_graph_scope(timesteps); // 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 // Note: We could add a current iteration tracker if needed for time-dependent sources ctx.parallel_for(source_s, lEz.rw())->*[=] _CCCL_DEVICE(size_t i, size_t j, size_t k, auto Ez) { // For simplicity, using a constant source in this example // In the full version, you'd want to track the current timestep Ez(i, j, k) = Ez(i, j, k) + 0.1 * sin(0.1 * (i + j + k)); }; // 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)); }; } // repeat_guard // Print final result at center ctx.host_launch(lEz.read())->*[=](auto Ez) { std::cout << "Final Ez at center: " << Ez(center_x, center_y, center_z) << '\n'; }; ctx.finalize(); std::cout << "FDTD simulation completed!" << '\n'; return 0; #endif }