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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 "triangulation/facenumbering.h"
namespace {
const int choose0[1] = { 1 };
const int choose1[2] = { 1,1 };
const int choose2[3] = { 1,2,1 };
const int choose3[4] = { 1,3,3,1 };
const int choose4[5] = { 1,4,6,4,1 };
const int choose5[6] = { 1,5,10,10,5,1 };
const int choose6[7] = { 1,6,15,20,15,6,1 };
const int choose7[8] = { 1,7,21,35,35,21,7,1 };
const int choose8[9] = { 1,8,28,56,70,56,28,8,1 };
const int choose9[10] = { 1,9,36,84,126,126,84,36,9,1 };
const int choose10[11] = { 1,10,45,120,210,252,210,120,45,10,1 };
const int choose11[12] = { 1,11,55,165,330,462,462,330,165,55,11,1 };
const int choose12[13] = { 1,12,66,220,495,792,924,792,495,220,66,12,1 };
const int choose13[14] = { 1,13,78,286,715,1287,1716,1716,1287,715,286,78,13,1 };
const int choose14[15] = { 1,14,91,364,1001,2002,3003,3432,3003,2002,1001,364,91,14,1 };
const int choose15[16] = { 1,15,105,455,1365,3003,5005,6435,6435,5005,3003,1365,455,105,15,1 };
const int choose16[17] = { 1,16,120,560,1820,4368,8008,11440,12870,11440,8008,4368,1820,560,120,16,1 };
}
namespace regina { namespace detail {
const int* const binomSmall_[17] = {
choose0, choose1, choose2, choose3, choose4, choose5, choose6, choose7,
choose8, choose9, choose10, choose11, choose12, choose13, choose14,
choose15, choose16
};
const Perm<3> FaceNumberingImpl<2, 1, false>::ordering_[3] = {
Perm<3>(1,2,0),
Perm<3>(0,2,1),
Perm<3>(0,1,2),
};
const Perm<4> FaceNumberingImpl<3, 1, true>::ordering_[6] = {
Perm<4>(0, 1, 2, 3),
Perm<4>(0, 2, 3, 1),
Perm<4>(0, 3, 1, 2),
Perm<4>(1, 2, 0, 3),
Perm<4>(1, 3, 2, 0),
Perm<4>(2, 3, 0, 1)
};
const int FaceNumberingImpl<3, 1, true>::edgeNumber[4][4] = {
{ -1, 0, 1, 2 },
{ 0,-1, 3, 4 },
{ 1, 3,-1, 5 },
{ 2, 4, 5,-1 }
};
const int FaceNumberingImpl<3, 1, true>::edgeVertex[6][2] = {
{ 0, 1 },
{ 0, 2 },
{ 0, 3 },
{ 1, 2 },
{ 1, 3 },
{ 2, 3 }
};
const Perm<4> FaceNumberingImpl<3, 2, false>::ordering_[4] = {
Perm<4>(1, 2, 3, 0),
Perm<4>(0, 2, 3, 1),
Perm<4>(0, 1, 3, 2),
Perm<4>(0, 1, 2, 3)
};
const Perm<5> FaceNumberingImpl<4, 1, true>::ordering_[10] = {
Perm<5>(0, 1, 2, 3, 4),
Perm<5>(0, 2, 1, 4, 3),
Perm<5>(0, 3, 1, 2, 4),
Perm<5>(0, 4, 1, 3, 2),
Perm<5>(1, 2, 0, 3, 4),
Perm<5>(1, 3, 0, 4, 2),
Perm<5>(1, 4, 0, 2, 3),
Perm<5>(2, 3, 0, 1, 4),
Perm<5>(2, 4, 0, 3, 1),
Perm<5>(3, 4, 0, 1, 2)
};
const int FaceNumberingImpl<4, 1, true>::edgeNumber[5][5] = {
{ -1, 0, 1, 2, 3 },
{ 0, -1, 4, 5, 6 },
{ 1, 4, -1, 7, 8 },
{ 2, 5, 7, -1, 9 },
{ 3, 6, 8, 9, -1 }};
const int FaceNumberingImpl<4, 1, true>::edgeVertex[10][2] = {
{ 0, 1 },
{ 0, 2 },
{ 0, 3 },
{ 0, 4 },
{ 1, 2 },
{ 1, 3 },
{ 1, 4 },
{ 2, 3 },
{ 2, 4 },
{ 3, 4 }};
const Perm<5> FaceNumberingImpl<4, 2, false>::ordering_[10] = {
Perm<5>(2, 3, 4, 0, 1),
Perm<5>(1, 3, 4, 2, 0),
Perm<5>(1, 2, 4, 0, 3),
Perm<5>(1, 2, 3, 4, 0),
Perm<5>(0, 3, 4, 1, 2),
Perm<5>(0, 2, 4, 3, 1),
Perm<5>(0, 2, 3, 1, 4),
Perm<5>(0, 1, 4, 2, 3),
Perm<5>(0, 1, 3, 4, 2),
Perm<5>(0, 1, 2, 3, 4)
};
const int FaceNumberingImpl<4, 2, false>::triangleNumber[5][5][5] = {
{ { -1,-1,-1,-1,-1 },
{ -1,-1, 9, 8, 7 },
{ -1, 9,-1, 6, 5 },
{ -1, 8, 6,-1, 4 },
{ -1, 7, 5, 4,-1 } },
{ { -1,-1, 9, 8, 7 },
{ -1,-1,-1,-1,-1 },
{ 9,-1,-1, 3, 2 },
{ 8,-1, 3,-1, 1 },
{ 7,-1, 2, 1,-1 } },
{ { -1, 9,-1, 6, 5 },
{ 9,-1,-1, 3, 2 },
{ -1,-1,-1,-1,-1 },
{ 6, 3,-1,-1, 0 },
{ 5, 2,-1, 0,-1 } },
{ { -1, 8, 6,-1, 4 },
{ 8,-1, 3,-1, 1 },
{ 6, 3,-1,-1, 0 },
{ -1,-1,-1,-1,-1 },
{ 4, 1, 0,-1,-1 } },
{ { -1, 7, 5, 4,-1 },
{ 7,-1, 2, 1,-1 },
{ 5, 2,-1, 0,-1 },
{ 4, 1, 0,-1,-1 },
{ -1,-1,-1,-1,-1 } } };
const int FaceNumberingImpl<4, 2, false>::triangleVertex[10][3] = {
{ 2, 3, 4 },
{ 1, 3, 4 },
{ 1, 2, 4 },
{ 1, 2, 3 },
{ 0, 3, 4 },
{ 0, 2, 4 },
{ 0, 2, 3 },
{ 0, 1, 4 },
{ 0, 1, 3 },
{ 0, 1, 2 } };
const Perm<5> FaceNumberingImpl<4, 3, false>::ordering_[5] = {
Perm<5>(1,2,3,4,0),
Perm<5>(0,2,3,4,1),
Perm<5>(0,1,3,4,2),
Perm<5>(0,1,2,4,3),
Perm<5>(0,1,2,3,4)
};
} } // namespace regina::detail
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