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#include <iostream>
#include <string>
#include <boost/program_options.hpp>
#include <boost/property_tree/ptree.hpp>
#include <boost/property_tree/json_parser.hpp>
#include <amgcl/backend/builtin.hpp>
#include <amgcl/relaxation/runtime.hpp>
#include <amgcl/coarsening/runtime.hpp>
#include <amgcl/coarsening/rigid_body_modes.hpp>
#include <amgcl/solver/runtime.hpp>
#include <amgcl/preconditioner/runtime.hpp>
#include <amgcl/deflated_solver.hpp>
#include <amgcl/amg.hpp>
#include <amgcl/adapter/crs_tuple.hpp>
#include <amgcl/adapter/reorder.hpp>
#include <amgcl/io/mm.hpp>
#include <amgcl/io/binary.hpp>
#include <amgcl/profiler.hpp>
namespace amgcl { profiler<> prof; }
using amgcl::prof;
using amgcl::precondition;
//---------------------------------------------------------------------------
int main(int argc, char *argv[]) {
namespace po = boost::program_options;
namespace io = amgcl::io;
using amgcl::prof;
using std::vector;
using std::string;
po::options_description desc("Options");
desc.add_options()
("help,h", "Show this help.")
("prm-file,P",
po::value<string>(),
"Parameter file in json format. "
)
(
"prm,p",
po::value< vector<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"
)
("matrix,A",
po::value<string>()->required(),
"System matrix in the MatrixMarket format."
)
(
"rhs,f",
po::value<string>(),
"The RHS vector in the MatrixMarket format. "
"When omitted, a vector of ones is used by default. "
"Should only be provided together with a system matrix. "
)
(
"defvec,D",
po::value<string>(),
"The near null-space vectors in the MatrixMarket format. "
)
(
"coords,C",
po::value<string>(),
"Coordinate matrix where number of rows corresponds to the number of grid nodes "
"and the number of columns corresponds to the problem dimensionality (2 or 3). "
"Will be used to construct near null-space vectors as rigid body modes. "
)
(
"binary,B",
po::bool_switch()->default_value(false),
"When specified, treat input files as binary instead of as MatrixMarket. "
"It is assumed the files were converted to binary format with mm2bin utility. "
)
(
"single-level,1",
po::bool_switch()->default_value(false),
"When specified, the AMG hierarchy is not constructed. "
"Instead, the problem is solved using a single-level smoother as preconditioner. "
)
(
"output,o",
po::value<string>(),
"Output file. Will be saved in the MatrixMarket format. "
"When omitted, the solution is not saved. "
)
;
po::positional_options_description p;
p.add("prm", -1);
po::variables_map vm;
po::store(po::command_line_parser(argc, argv).options(desc).positional(p).run(), vm);
po::notify(vm);
if (vm.count("help")) {
std::cout << desc << std::endl;
return 0;
}
for (int i = 0; i < argc; ++i) {
if (i) std::cout << " ";
std::cout << argv[i];
}
std::cout << std::endl;
boost::property_tree::ptree prm;
if (vm.count("prm-file")) {
read_json(vm["prm-file"].as<string>(), prm);
}
if (vm.count("prm")) {
for(const string &v : vm["prm"].as<vector<string> >()) {
amgcl::put(prm, v);
}
}
if (!vm.count("defvec") && !vm.count("coords")) {
std::cerr << "Either defvec or coords should be given" << std::endl;
return 1;
}
ptrdiff_t rows, nv;
vector<ptrdiff_t> ptr, col;
vector<double> val, rhs, z;
{
auto t = prof.scoped_tic("reading");
string Afile = vm["matrix"].as<string>();
bool binary = vm["binary"].as<bool>();
if (binary) {
io::read_crs(Afile, rows, ptr, col, val);
} else {
ptrdiff_t cols;
std::tie(rows, cols) = io::mm_reader(Afile)(ptr, col, val);
precondition(rows == cols, "Non-square system matrix");
}
if (vm.count("rhs")) {
string bfile = vm["rhs"].as<string>();
ptrdiff_t n, m;
if (binary) {
io::read_dense(bfile, n, m, rhs);
} else {
std::tie(n, m) = io::mm_reader(bfile)(rhs);
}
precondition(n == rows && m == 1, "The RHS vector has wrong size");
} else {
rhs.resize(rows, 1.0);
}
if (vm.count("defvec")) {
string nfile = vm["defvec"].as<string>();
std::vector<double> N;
ptrdiff_t m;
if (binary) {
io::read_dense(nfile, m, nv, N);
} else {
std::tie(m, nv) = io::mm_reader(nfile)(N);
}
precondition(m == rows, "Deflation vectors have wrong size");
z.resize(N.size());
for(ptrdiff_t i = 0; i < rows; ++i)
for(ptrdiff_t j = 0; j < nv; ++j)
z[i + j * rows] = N[i * nv + j];
} else if (vm.count("coords")) {
string cfile = vm["coords"].as<string>();
std::vector<double> coo;
ptrdiff_t m, ndim;
if (binary) {
io::read_dense(cfile, m, ndim, coo);
} else {
std::tie(m, ndim) = io::mm_reader(cfile)(coo);
}
precondition(m * ndim == rows && (ndim == 2 || ndim == 3), "Coordinate matrix has wrong size");
nv = amgcl::coarsening::rigid_body_modes(ndim, coo, z, /*transpose = */true);
}
prm.put("nvec", nv);
prm.put("vec", z.data());
}
std::vector<double> x(rows, 0);
int iters;
double error;
if (vm["single-level"].as<bool>())
prm.put("precond.class", "relaxation");
typedef amgcl::backend::builtin<double> Backend;
typedef amgcl::deflated_solver<
amgcl::runtime::preconditioner<Backend>,
amgcl::runtime::solver::wrapper<Backend>
> Solver;
auto A = std::tie(rows, ptr, col, val);
prof.tic("setup");
Solver solve(A, prm);
prof.toc("setup");
prof.tic("solve");
std::tie(iters, error) = solve(rhs, x);
prof.toc("solve");
if (vm.count("output")) {
auto t = prof.scoped_tic("write");
amgcl::io::mm_write(vm["output"].as<string>(), x.data(), x.size());
}
std::vector<double> r(rows);
amgcl::backend::residual(rhs, A, x, r);
std::cout << "Iterations: " << iters << std::endl
<< "Error: " << error << std::endl
<< "True error: " << sqrt(amgcl::backend::inner_product(r, r)) / sqrt(amgcl::backend::inner_product(rhs, rhs))
<< prof << std::endl;
}
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