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/**************************************************************************
* *
* Regina - A Normal Surface Theory Calculator *
* Exhaustively retriangulate a given manifold *
* *
* Copyright (c) 2017-2025, Ben Burton *
* For further details contact Ben Burton (bab@debian.org). *
* *
* This program is free software; you can redistribute it and/or *
* modify it under the terms of the GNU General Public License as *
* published by the Free Software Foundation; either version 2 of the *
* License, or (at your option) any later version. *
* *
* As an exception, when this program is distributed through (i) the *
* App Store by Apple Inc.; (ii) the Mac App Store by Apple Inc.; or *
* (iii) Google Play by Google Inc., then that store may impose any *
* digital rights management, device limits and/or redistribution *
* restrictions that are required by its terms of service. *
* *
* This program is distributed in the hope that it will be useful, but *
* WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU *
* General Public License for more details. *
* *
* You should have received a copy of the GNU General Public License *
* along with this program. If not, see <https://www.gnu.org/licenses/>. *
* *
**************************************************************************/
#include <mutex>
#include <thread>
#include <getopt.h>
#include "link/link.h"
#include "triangulation/dim3.h"
#include "triangulation/dim4.h"
std::mutex mutex;
constexpr int NO_HEIGHT = -1000;
// Command-line arguments:
int height = NO_HEIGHT;
long threads = 1;
enum {
FLAVOUR_NONE = 0,
FLAVOUR_DIM3 = 3,
FLAVOUR_DIM4 = 4,
FLAVOUR_KNOT = 100
} flavour = FLAVOUR_NONE;
bool showAll = false;
bool internalSig = false;
bool virtualMoves = false;
bool classicalMoves = false;
template <int dim>
void process(const regina::Triangulation<dim>& tri) {
size_t nSolns = 0;
bool nonMinimal = false;
std::string simpler;
tri.retriangulate(height, threads, nullptr /* tracker */,
[&nSolns, &nonMinimal, &simpler, &tri](
const std::string& sig, const regina::Triangulation<dim>& t) {
if (t.size() > tri.size()) {
if (showAll) {
if (internalSig) {
std::lock_guard<std::mutex> lock(mutex);
std::cout << sig << std::endl;
++nSolns;
} else {
// Recompute the signature using IsoSigClassic.
std::string classic = t.isoSig();
std::lock_guard<std::mutex> lock(mutex);
std::cout << classic << std::endl;
++nSolns;
}
}
return false;
}
if (internalSig) {
std::lock_guard<std::mutex> lock(mutex);
std::cout << sig << std::endl;
if (t.size() < tri.size()) {
nonMinimal = true;
simpler = sig;
return true;
}
++nSolns;
return false;
} else {
// Recompute the signature using IsoSigClassic.
std::string classic = t.isoSig();
std::lock_guard<std::mutex> lock(mutex);
std::cout << classic << std::endl;
if (t.size() < tri.size()) {
nonMinimal = true;
simpler = std::move(classic);
return true;
}
++nSolns;
return false;
}
});
if (nonMinimal) {
std::cerr << "Triangulation is non-minimal!" << std::endl;
std::cerr << "Smaller triangulation: " << simpler << std::endl;
} else
std::cerr << "Found " << nSolns << " triangulation(s)." << std::endl;
}
void process(const regina::Link& link) {
size_t nSolns = 0;
bool nonMinimal = false;
std::string simpler;
std::function<bool(const std::string&, const regina::Link&)> action =
[&nSolns, &nonMinimal, &simpler, &link](
const std::string& sig, const regina::Link& k) {
if (k.size() > link.size()) {
if (showAll) {
std::lock_guard<std::mutex> lock(mutex);
std::cout << sig << std::endl;
++nSolns;
}
return false;
}
std::lock_guard<std::mutex> lock(mutex);
std::cout << sig << std::endl;
if (k.size() < link.size()) {
nonMinimal = true;
simpler = sig;
return true;
}
++nSolns;
return false;
};
if (virtualMoves || ! (classicalMoves || link.isClassical()))
link.rewriteVirtual(height, threads, nullptr /* tracker */, action);
else
link.rewrite(height, threads, nullptr /* tracker */, action);
if (nonMinimal) {
std::cerr << "Link is non-minimal!" << std::endl;
std::cerr << "Smaller link: " << simpler << std::endl;
} else
std::cerr << "Found " << nSolns << " link(s)." << std::endl;
}
void help() {
std::cerr <<
R"help(Usage: retriangulate <isosig>
-h, --height=<height> Number of extra simplices/crossings (default = 1)
-t, --threads=<threads> Number of parallel threads (default = 1)
-3, --dim3 Input is a 3-manifold signature (default)
-4, --dim4 Input is a 4-manifold signature
-k, --knot Input is a knot/link signature
-l, --all Output larger triangulations/links also
-a, --anysig Output does not need to use classic signature(s)
-c, --classical Never allow virtual type II moves (default for
classical link diagrams)
-V, --virtual Always allow virtual type II moves (default for
virtual link diagrams)
-v, --version Show which version of Regina is being used
--help Show this help message
)help";
}
int main(int argc, char* argv[]) {
// Parse the command-line arguments.
const char* shortOpt = ":h:t:34klacVv";
struct option longOpt[] = {
{ "height", required_argument, nullptr, 'h' },
{ "threads", required_argument, nullptr, 't' },
{ "dim3", no_argument, nullptr, '3' },
{ "dim4", no_argument, nullptr, '4' },
{ "knot", no_argument, nullptr, 'k' },
{ "all", no_argument, nullptr, 'l' },
{ "anysig", no_argument, nullptr, 'a' },
{ "classical", no_argument, nullptr, 'c' },
{ "virtual", no_argument, nullptr, 'V' },
{ "version", no_argument, nullptr, 'v' },
{ "help", no_argument, nullptr, '_' },
{ nullptr, 0, nullptr, 0 }
};
int opt;
char* endptr;
while ((opt = getopt_long(argc, argv, shortOpt, longOpt, nullptr)) != -1) {
switch (opt) {
case 'h':
height = strtol(optarg, &endptr, 10);
if (*endptr != 0) {
std::cerr << "The height must be a non-negative "
"integer.\n\n";
help();
return 1;
}
break;
case 't':
threads = strtol(optarg, &endptr, 10);
if (*endptr != 0) {
std::cerr << "The number of threads must be a positive "
"integer.\n\n";
help();
return 1;
}
break;
case '3':
if (flavour && flavour != FLAVOUR_DIM3) {
std::cerr << "You cannot pass more than one of "
"--dim3, --dim4 or --knot.\n\n";
help();
return 1;
}
flavour = FLAVOUR_DIM3;
break;
case '4':
if (flavour && flavour != FLAVOUR_DIM4) {
std::cerr << "You cannot pass more than one of "
"--dim3, --dim4 or --knot.\n\n";
help();
return 1;
}
flavour = FLAVOUR_DIM4;
break;
case 'k':
if (flavour && flavour != FLAVOUR_KNOT) {
std::cerr << "You cannot pass more than one of "
"--dim3, --dim4 or --knot.\n\n";
help();
return 1;
}
flavour = FLAVOUR_KNOT;
break;
case 'l':
showAll = true;
break;
case 'a':
internalSig = true;
break;
case 'c':
classicalMoves = true;
break;
case 'V':
virtualMoves = true;
break;
case 'v':
// If other arguments were passed, just silently ignore them
// for now. Ideally we would give an error in this scenario.
std::cout << PACKAGE_BUILD_STRING << std::endl;
return 0;
case '_':
help();
return 0;
case '?':
if (optopt == 0) {
// Unknown long option.
std::cerr << "Unknown option: " << argv[optind - 1];
} else {
// Unknown short option.
std::cerr << "Unknown option: -" <<
static_cast<char>(optopt);
}
std::cerr << "\n\n";
help();
return 1;
case ':':
// If an argument is missing, getopt_long() behaves as though
// the short option were passed, and there is no indication
// as to whether the user specified a long option instead.
// For now we will just use the short option in our error
// message, since the subsequent help text explains both the
// short and long options anyway.
std::cerr << "Missing argument: -" << static_cast<char>(optopt);
std::cerr << "\n\n";
help();
return 1;
}
}
// Set any undefined options to their defaults.
if (! flavour)
flavour = FLAVOUR_DIM3;
std::string sig;
if (optind < argc) {
sig = argv[optind];
if (optind + 1 < argc) {
std::cerr << "Too many arguments.\n\n";
help();
return 1;
}
} else {
if (flavour == FLAVOUR_KNOT)
std::cerr << "Please give a knot/link signature.\n\n";
else
std::cerr << "Please give an isomorphism signature.\n\n";
help();
return 1;
}
// Set default arguments.
if (height == NO_HEIGHT) {
switch (flavour) {
case FLAVOUR_DIM3: height = 1; break;
case FLAVOUR_DIM4: height = 2; break;
case FLAVOUR_KNOT: height = 1; break;
default: /* should never occur */ break;
}
}
// Run a sanity check on the command-line arguments.
bool broken = false;
if (height < 0) {
std::cerr << "The height cannot be negative.\n";
broken = true;
} else if (flavour == FLAVOUR_DIM3 && height == 0) {
std::cerr << "In three dimensions the height must be positive.\n";
broken = true;
} else if (flavour == FLAVOUR_DIM4 && (height % 2)) {
std::cerr << "In four dimensions the height must be even.\n";
broken = true;
}
if (threads <= 0) {
std::cerr << "The number of threads must be positive.\n";
broken = true;
}
if ((virtualMoves || classicalMoves) && flavour != FLAVOUR_KNOT) {
std::cerr << "The options --classical and --virtual can only be used "
"with --knot.\n";
broken = true;
}
if (virtualMoves && classicalMoves) {
std::cerr << "The options --classical and --virtual cannot be used "
"together.\n";
broken = true;
}
if (! broken) {
switch (flavour) {
case FLAVOUR_DIM3: {
try {
process(regina::Triangulation<3>::fromIsoSig(sig));
} catch (const regina::InvalidArgument&) {
std::cerr << "I could not interpret the given "
"3-manifold isomorphism signature.\n";
broken = true;
}
break;
}
case FLAVOUR_DIM4: {
try {
process(regina::Triangulation<4>::fromIsoSig(sig));
} catch (const regina::InvalidArgument&) {
std::cerr << "I could not interpret the given "
"4-manifold isomorphism signature.\n";
broken = true;
}
break;
}
case FLAVOUR_KNOT: {
try {
process(regina::Link::fromSig(sig));
} catch (const regina::InvalidArgument&) {
std::cerr << "I could not interpret the given "
"knot/link signature.\n";
broken = true;
}
break;
}
default: /* should never occur */
break;
}
}
if (broken) {
std::cerr << '\n';
help();
return 1;
} else {
return 0;
}
}
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