File: orb.cpp

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/**************************************************************************
 *                                                                        *
 *  Regina - A Normal Surface Theory Calculator                           *
 *  Computational Engine                                                  *
 *                                                                        *
 *  Copyright (c) 1999-2025, 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/>. *
 *                                                                        *
 **************************************************************************/

/**
 * Thanks to Ryan Budney and Damien Heard for providing the bulk of the
 * code in this file.
 *
 * Ryan Budney contributed the Orb / Casson import filters for Regina.
 * From his initial comments:
 *
 *   This file contains the engine routines to read Casson/Orb format
 *   triangulations and import them into Regina.  The main routines are
 *   adapted from Damian Heard's Orb.
 *                                      -Ryan Budney (April 3rd, 2006)
 *
 * For information on which routines are adapted from Orb and how they
 * have been modified, see the comments above each routine.  For information
 * on Orb itself, see http://www.ms.unimelb.edu.au/~snap/orb.html .
 */

#include <cctype>
#include <cstdio>
#include <cstring>
#include <fstream>
#include <iomanip>
#include <iostream>
#include <sstream>

#include "foreign/orb.h"
#include "triangulation/dim3.h"
#include "utilities/stringutils.h"

// This macro was originally provided in casson.h:
#define LN(ch)   ((ch)=='u') ? 0 : (((ch)=='v') ? 1 : (((ch)=='w') ? 2 : 3))

namespace regina {

// Anonymous namespace for the private routines used only by this file.
namespace {

// Structures originally provided in casson.h:

struct TetEdgeInfo {
        int             tet_index,f1,f2;
        TetEdgeInfo     *prev,
                        *next;
};
struct EdgeInfo {
        int             index,
                        singular_index;
        double          singular_order;

        TetEdgeInfo     *head;
        EdgeInfo        *prev,
                        *next;
};
struct CassonFormat {
        int             num_tet;
        EdgeInfo        *head;
};

// Constants originally provided in casson.h:
const int vertex_at_faces[4][4] =
        {{9,2,3,1},
         {3,9,0,2},
         {1,3,9,0},
         {2,0,1,9}};

/**
 * Modified from Orb's cassonToTriangulation() routine.
 *
 * The routine was changed to be compatible with Regina's Triangulation<3>
 * data structure.
 *
 * If the conversion cannot be performed (e.g., the Casson format has
 * inconsistent tetrahedron gluings), then this routine returns \c null.
 */
std::shared_ptr<PacketOf<Triangulation<3>>> cassonToTriangulation(
        CassonFormat *cf ) {
 int i;
 auto triang = make_packet<Triangulation<3>>();
 // since CassonFormat does not allow naming of triangulations,
 //  triang is given a name in the readOrb() function.
 //  I try to mimic Triangulation<3>::fromSnapPea and
 //  Orb::cassonToTriangulation as much as possible.

 // If the triangulation is empty, leave now before we start allocating
 // empty arrays.
 if (cf->num_tet == 0)
     return triang;

 auto* tet = new Tetrahedron<3>*[cf->num_tet]; // tet corresponds to tet_array in Orb
 for (i=0; i<cf->num_tet; i++)
        tet[i]=triang->newTetrahedron();
 // now tet is a pointer to an array of Tetrahedron<3>s,
 //  so for each tet[i] we need to run
 //   for (j=0; j<4; j++)
 //     tet[i]->join(j,tet[g[j]],Perm<4>(p[j][0],p[j][1],p[j][2],p[j][3],p[j][4]))
 //     where g[j] is the tetrahedron adjacent to face j of tet[i]
 //           p[j][k] is the permutation specifying how the faces are glued together.
 EdgeInfo *ei;
 TetEdgeInfo *tei1, *tei2;
 ei = cf->head;

 // this routine goes through the edges of cf, picking off the adjacent
 // tetrahedra and assembled the information into tet. this code is
 // adapted from Orb::cassonToTriangulation in Orb's organizer.cpp
 while (ei) // if we have a non-trivial edge, proceed
        {
        tei1 = ei->head;
        while (tei1) // now we spin about the tetrahedra adj to ei.
                {
                if (! tei1->next)
                        tei2 = ei->head;
                else    tei2 = tei1->next;

                Tetrahedron<3>* t1 = tet[tei1->tet_index];
                Tetrahedron<3>* t2 = tet[tei2->tet_index];

                int a1 = tei1->f1;
                int a2 = tei1->f2;
                int b1 = tei2->f1;
                int b2 = tei2->f2;

                Perm<4> gluing(a1, b2, a2, b1,
                    vertex_at_faces[a1][a2], vertex_at_faces[b1][b2],
                    vertex_at_faces[a2][a1], vertex_at_faces[b2][b1]);

                if (auto adj = t1->adjacentTetrahedron(tei1->f1)) {
                    if (adj != t2 || t1->adjacentGluing(tei1->f1) != gluing) {
                        // The tetrahedron gluings are inconsistent.
                        // The API promises to return null instead of
                        // throwing an exception, so we do this.
                        delete[] tet;
                        return {};
                    }
                } else
                    t1->join(tei1->f1, t2, gluing);

                tei1 = tei1->next;
                }
        ei = ei->next;
        }

 delete[] tet;

 return triang;
}


/**
 * Modified from Orb's readCassonFormat() routine.
 *
 * This routine was modified to remove the dependence on Qt strings and
 * I/O streams, and work only with standard C++ strings and I/O streams
 * instead.
 *
 * On entering this routine we assume the lines containing "% orb" and
 * the manifold name have already been read.
 */
CassonFormat *readCassonFormat( std::istream &ts )
{
        CassonFormat    *cf;
        std::string     line,
                        section;
        EdgeInfo        *nei,
                        *ei;
        TetEdgeInfo     *ntei,
                        *tei;
        bool        vertices_known = false;

        cf = new CassonFormat;
        cf->head = nullptr;
        cf->num_tet = 0;

        // Skip any initial non-empty lines (looking whether there is
        // "vertices_known") and then some empty lines.
        // After that there should be the real information.

        // The code from Orb used QString::skipWhiteSpace(); we do it
        // manually.
        do {
                getline(ts, line);
                stripWhitespace(line);
                if (line == "vertices_known") vertices_known=true;
        } while ((!ts.eof()) && (!line.empty()));

        do {
            getline(ts,line);
            stripWhitespace(line);
        } while ((! ts.eof()) && line.empty());

        // Process lines one at a time until we hit an empty line or EOF.
        while ((! ts.eof()) && (! line.empty()) && (line != "% diagram"))
        {
                // The code from Orb used QString's record separation
                // routines.  We don't have that in std::string, so
                // we'll do it all with istringstreams instead.
                std::istringstream tokens(line);

                nei = new EdgeInfo;

                if (! cf->head)
                        cf->head = nei;
                else    ei->next = nei;

                nei->next = nullptr;
                nei->head = nullptr;

                ei = nei;

                tokens >> ei->index;
                ei->index--;

                // We never use these two values; just suck them in and
                // forget them.
                tokens >> ei->singular_index >> ei->singular_order;
                // if vertices are listed, discard
                if (vertices_known)
                    { tokens >> section; tokens>>section; }
                tokens >> section;
                while (!section.empty())
                {
                        ntei = new TetEdgeInfo;

                        if (! ei->head)
                                ei->head        = ntei;
                        else
                                tei->next       = ntei;

                        ntei->next = nullptr;
                        tei = ntei;

                        tei->f1 = LN(section[section.length()-2]);
                        tei->f2 = LN(section[section.length()-1]);
                        section.resize(section.length()-2);
                        tei->tet_index = atoi(section.c_str()) - 1;

                        if (tei->tet_index + 1 > cf->num_tet)
                                cf->num_tet = tei->tet_index + 1;

                        section.clear();
                        tokens >> section;
                }

                getline(ts, line);
        }

        return cf;
}

/**
 * A direct copy of Orb's verifyCassonFormat() routine.
 */
bool verifyCassonFormat( CassonFormat *cf )
{
        int             i,j,k;
        bool            check[4][4];
        EdgeInfo        *ei;
        TetEdgeInfo     *tei;

        for(i=0;i<cf->num_tet;i++)
        {
                for(j=0;j<4;j++)
                        for(k=0;k<4;k++)
                        if (j==k)
                                check[j][k] = true;
                        else    check[j][k] = false;

                ei = cf->head;

                if (! ei)
                        return false;

                while(ei)
                {
                        tei = ei->head;
                        if (! tei)
                                return false;
                        while(tei)
                        {
                                if (tei->tet_index == i )
                                {
                                        if (check[tei->f1][tei->f2])
                                                return true;
                                        check[tei->f1][tei->f2] = true;
                                        check[tei->f2][tei->f1] = true;
                                }
                                tei = tei->next;
                        }
                        ei = ei->next;
                }

                for(j=0;j<4;j++)
                        for(k=0;k<4;k++)
                        if (check[j][k]==false)
                                return false;
        }
        return true;
}

/**
 * A direct copy of Orb's freeCassonFormat() routine.
 */
void freeCassonFormat( CassonFormat *cf )
{
        EdgeInfo *e1, *e2;
        TetEdgeInfo *t1, *t2;
        e1 = cf->head;

        while (e1)
        {
                e2 = e1->next;
                t1 = e1->head;
                while (t1)
                {
                        t2 = t1->next;
                        delete t1;
                        t1 = t2;
                }
                delete e1;
                e1 = e2;
        }
        delete cf;
}

/**
 * Modified from Orb's readTriangulation() routine.
 *
 * The routine was changed to be compatible with Regina's Triangulation<3>
 * data structure, and to use standard C++ string and I/O streams
 * instead of Qt strings and I/O streams.
 *
 * This routine returns \c null in case of error.
 */
std::shared_ptr<PacketOf<Triangulation<3>>> readTriangulation(std::istream &ts) {
    std::string line, file_id;

    getline(ts, line);
    if (line != "% orb") {
        std::cerr << "Orb / Casson file is not in the correct format."
            << std::endl;
        return {};
    }

    getline(ts, file_id);

    CassonFormat* cf = readCassonFormat( ts );
    if (! verifyCassonFormat( cf )) {
        std::cerr << "Error verifying Orb / Casson file." << std::endl;
        freeCassonFormat( cf );
        return {};
    }

    auto manifold = cassonToTriangulation( cf );
    freeCassonFormat( cf );

    if (! manifold) {
        std::cerr << "Orb / Casson file contains invalid or inconsistent data."
            << std::endl;
        return {};
    }

    manifold->setLabel(file_id);
    return manifold;
}

} // End anonymous namespace

std::shared_ptr<PacketOf<Triangulation<3>>> readOrb(const char *filename) {
    std::ifstream file(filename);

    if (! file) {
        std::cerr << "Error opening Orb / Casson file." << std::endl;
        return nullptr;
    }

    return readTriangulation(file);
}

} // namespace regina