File: check_direct.cpp

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#include <iostream>
#include <iomanip>
#include <fstream>
#include <vector>
#include <algorithm>
#include <numeric>
#include <cmath>

#include <boost/scope_exit.hpp>
#include <boost/program_options.hpp>
#include <boost/property_tree/ptree.hpp>
#include <boost/property_tree/json_parser.hpp>

#include <amgcl/mpi/direct_solver/runtime.hpp>
#include <amgcl/profiler.hpp>

namespace amgcl {
    profiler<> prof;
}

int main(int argc, char *argv[]) {
    int provided;
    MPI_Init_thread(&argc, &argv, MPI_THREAD_MULTIPLE, &provided);
    BOOST_SCOPE_EXIT(void) {
        MPI_Finalize();
    } BOOST_SCOPE_EXIT_END

    amgcl::mpi::communicator comm(MPI_COMM_WORLD);

    if (comm.rank == 0)
        std::cout << "World size: " << comm.size << std::endl;

    namespace po = boost::program_options;
    po::options_description desc("Options");

    desc.add_options()
        ("help,h", "show help")
        (
         "size,n",
         po::value<int>()->default_value(128),
         "domain size"
        )
        ("prm-file,P",
         po::value<std::string>(),
         "Parameter file in json format. "
        )
        (
         "prm,p",
         po::value< std::vector<std::string> >()->multitoken(),
         "Parameters specified as name=value pairs. "
         "May be provided multiple times. Examples:\n"
         "  -p solver.tol=1e-3\n"
         "  -p precond.coarse_enough=300"
        )
        ;

    po::variables_map vm;
    po::store(po::parse_command_line(argc, argv, desc), vm);
    po::notify(vm);

    if (vm.count("help")) {
        if (comm.rank == 0) std::cout << desc << std::endl;
        return 0;
    }

    boost::property_tree::ptree prm;
    if (vm.count("prm-file")) {
        read_json(vm["prm-file"].as<std::string>(), prm);
    }

    if (vm.count("prm")) {
        for(const std::string &v : vm["prm"].as<std::vector<std::string> >()) {
            amgcl::put(prm, v);
        }
    }

    const int n = vm["size"].as<int>();
    const int n2 = n * n;

    using amgcl::prof;

    int chunk       = (n2 + comm.size - 1) / comm.size;
    int chunk_start = comm.rank * chunk;
    int chunk_end   = std::min(chunk_start + chunk, n2);

    chunk = chunk_end - chunk_start;

    std::vector<int> domain(comm.size + 1);
    MPI_Allgather(&chunk, 1, MPI_INT, &domain[1], 1, MPI_INT, comm);
    std::partial_sum(domain.begin(), domain.end(), domain.begin());

    prof.tic("assemble");
    amgcl::backend::crs<double> A;
    A.set_size(chunk, domain.back(), true);
    A.set_nonzeros(chunk * 5);
    std::vector<double> rhs(chunk, 1);

    const double h2i  = (n - 1) * (n - 1);
    for(int idx = chunk_start, row = 0, head = 0; idx < chunk_end; ++idx, ++row) {
        int j = idx / n;
        int i = idx % n;

        if (j > 0)  {
            A.col[head] = idx - n;
            A.val[head] = -h2i;
            ++head;
        }

        if (i > 0) {
            A.col[head] = idx - 1;
            A.val[head] = -h2i;
            ++head;
        }

        A.col[head] = idx;
        A.val[head] = 4 * h2i;
        ++head;

        if (i + 1 < n) {
            A.col[head] = idx + 1;
            A.val[head] = -h2i;
            ++head;
        }

        if (j + 1 < n) {
            A.col[head] = idx + n;
            A.val[head] = -h2i;
            ++head;
        }

        A.ptr[row + 1] = head;
    }
    A.nnz = A.ptr[chunk];
    prof.toc("assemble");

    prof.tic("setup");
    amgcl::runtime::mpi::direct::solver<double> solve(comm, A, prm);
    prof.toc("setup");

    prof.tic("solve");
    std::vector<double> x(chunk);
    solve(rhs, x);
    solve(rhs, x);
    prof.toc("solve");

    prof.tic("save");
    if (comm.rank == 0) {
        std::vector<double> X(n2);
        std::copy(x.begin(), x.end(), X.begin());

        for(int i = 1; i < comm.size; ++i)
            MPI_Recv(&X[domain[i]], domain[i+1] - domain[i], MPI_DOUBLE, i, 42, comm, MPI_STATUS_IGNORE);

        std::ofstream f("out.dat", std::ios::binary);
        f.write((char*)&n2, sizeof(int));
        f.write((char*)X.data(), n2 * sizeof(double));
    } else {
        MPI_Send(x.data(), chunk, MPI_DOUBLE, 0, 42, comm);
    }
    prof.toc("save");

    if (comm.rank == 0) {
        std::cout << prof << std::endl;
    }

}