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/**************************************************************************
* *
* Regina - A Normal Surface Theory Calculator *
* Computational Engine *
* *
* Copyright (c) 1999-2016, 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, write to the Free *
* Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, *
* MA 02110-1301, USA. *
* *
**************************************************************************/
#include "subcomplex/txicore.h"
#include <sstream>
namespace regina {
std::string TxICore::name() const {
std::ostringstream out;
writeName(out);
return out.str();
}
std::string TxICore::TeXName() const {
std::ostringstream out;
writeTeXName(out);
return out.str();
}
TxIDiagonalCore::TxIDiagonalCore(unsigned long newSize, unsigned long newK) :
size_(newSize), k_(newK) {
// We'll build the actual triangulation last. Meanwhile, fill in
// the remaining bits and pieces.
bdryTet_[0][0] = 0;
bdryTet_[0][1] = 1;
bdryTet_[1][0] = size_ - 2;
bdryTet_[1][1] = size_ - 1;
// All bdryRoles permutations are identities.
// No need to change them here.
bdryReln_[0] = Matrix2(1, 0, 0, 1);
bdryReln_[1] = Matrix2(-1, 0, 0, 1);
parallelReln_ = Matrix2(1, size_ - 6, 0, 1);
// Off we go!
unsigned i;
Tetrahedron<3>** t = new Tetrahedron<3>*[size_];
for (i = 0; i < size_; i++)
t[i] = core_.newTetrahedron();
// Glue together the pairs of triangles in the central surface.
t[0]->join(0, t[1], Perm<4>(0, 2, 1, 3));
t[size_ - 2]->join(0, t[size_ - 1], Perm<4>(0, 2, 1, 3));
// Glue together the long diagonal line of quads, and hook the ends
// together using the first pair of triangles.
t[0]->join(1, t[3], Perm<4>(2, 3, 1, 0));
for (i = 3; i < size_ - 3; i++)
t[i]->join(0, t[i + 1], Perm<4>(0, 3));
t[size_ - 3]->join(0, t[1], Perm<4>(1, 0, 2, 3));
// Glue the quadrilateral and double-triangular bulges to their
// horizontal neighbours.
t[1]->join(2, t[2], Perm<4>());
t[2]->join(3, t[0], Perm<4>(1, 0, 3, 2));
t[size_ - 1]->join(2, t[size_ - 2 - k_], Perm<4>(3, 0, 1, 2));
t[size_ - 2]->join(2, t[size_ - 2 - k_], Perm<4>(0, 3, 2, 1));
// Glue in the lower edge of each bulges.
if (k_ == size_ - 5)
t[2]->join(0, t[size_ - 2], Perm<4>(1, 3, 2, 0));
else
t[2]->join(0, t[3], Perm<4>(2, 1, 3, 0));
if (k_ == 1)
t[size_ - 1]->join(1, t[2], Perm<4>(2, 1, 3, 0));
else
t[size_ - 1]->join(1, t[size_ - 1 - k_], Perm<4>(3, 2, 0, 1));
// Glue in the lower edge of each quadrilateral.
for (i = 3; i <= size_ - 3; i++) {
if (i == size_ - 2 - k_)
continue;
if (i == size_ - 3)
t[i]->join(1, t[2], Perm<4>(3, 1, 0, 2));
else if (i == size_ - 3 - k_)
t[i]->join(1, t[size_ - 2], Perm<4>(0, 1, 3, 2));
else
t[i]->join(1, t[i + 1], Perm<4>(1, 2));
}
delete[] t;
}
TxIParallelCore::TxIParallelCore() {
// We'll build the actual triangulation last. Meanwhile, fill in
// the remaining bits and pieces.
bdryTet_[0][0] = 0;
bdryTet_[0][1] = 1;
bdryTet_[1][0] = 4;
bdryTet_[1][1] = 5;
// All bdryRoles permutations are identities.
// No need to change them here.
bdryReln_[0] = bdryReln_[1] = parallelReln_ = Matrix2(1, 0, 0, 1);
// Off we go!
// Just hard-code it. It's only one triangulation, and it's highly
// symmetric.
unsigned i;
Tetrahedron<3>** t = new Tetrahedron<3>*[6];
for (i = 0; i < 6; i++)
t[i] = core_.newTetrahedron();
t[0]->join(0, t[1], Perm<4>(1, 2));
t[4]->join(0, t[5], Perm<4>(1, 2));
t[1]->join(2, t[2], Perm<4>());
t[5]->join(2, t[3], Perm<4>());
t[0]->join(2, t[2], Perm<4>(1, 0, 3, 2));
t[4]->join(2, t[3], Perm<4>(1, 0, 3, 2));
t[1]->join(1, t[3], Perm<4>(2, 0, 3, 1));
t[5]->join(1, t[2], Perm<4>(2, 0, 3, 1));
t[0]->join(1, t[3], Perm<4>(0, 3));
t[4]->join(1, t[2], Perm<4>(0, 3));
delete[] t;
}
} // namespace regina
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