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/**************************************************************************
* *
* Regina - A Normal Surface Theory Calculator *
* Computational Engine *
* *
* Copyright (c) 1999-2011, 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. *
* *
* 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. *
* *
**************************************************************************/
/* end stub */
#include <sstream>
#include "maths/nperm4.h"
#include "triangulation/nedge.h" // deprecated
#include "triangulation/nface.h" // deprecated
namespace regina {
const NPerm4 NPerm4::S4[24] = {
NPerm4(0), NPerm4(1), NPerm4(2), NPerm4(3), NPerm4(4), NPerm4(5),
NPerm4(6), NPerm4(7), NPerm4(8), NPerm4(9), NPerm4(10), NPerm4(11),
NPerm4(12), NPerm4(13), NPerm4(14), NPerm4(15), NPerm4(16), NPerm4(17),
NPerm4(18), NPerm4(19), NPerm4(20), NPerm4(21), NPerm4(22), NPerm4(23)
};
const NPerm4* allPermsS4 = NPerm4::S4;
const unsigned NPerm4::invS4[24] = {
0, 1, 4, 3,
2, 5, 6, 7,
12, 19, 18, 13,
8, 11, 20, 15,
16, 23, 10, 9,
14, 21, 22, 17
};
const unsigned* allPermsS4Inv = NPerm4::invS4;
const NPerm4 NPerm4::orderedS4[24] = {
NPerm4(0), NPerm4(1), NPerm4(3), NPerm4(2),
NPerm4(4), NPerm4(5), NPerm4(7), NPerm4(6),
NPerm4(8), NPerm4(9), NPerm4(11), NPerm4(10),
NPerm4(12), NPerm4(13), NPerm4(15), NPerm4(14),
NPerm4(16), NPerm4(17), NPerm4(19), NPerm4(18),
NPerm4(20), NPerm4(21), NPerm4(23), NPerm4(22)
};
const NPerm4* orderedPermsS4 = NPerm4::orderedS4;
const NPerm4 NPerm4::S3[6] = {
NPerm4(0,1,2,3), NPerm4(0,2,1,3),
NPerm4(1,2,0,3), NPerm4(1,0,2,3),
NPerm4(2,0,1,3), NPerm4(2,1,0,3)
};
const NPerm4* allPermsS3 = NPerm4::S3;
const unsigned NPerm4::invS3[6] = {
0, 1,
4, 3,
2, 5
};
const unsigned* allPermsS3Inv = NPerm4::invS3;
const NPerm4 NPerm4::orderedS3[6] = {
NPerm4(0,1,2,3), NPerm4(0,2,1,3),
NPerm4(1,0,2,3), NPerm4(1,2,0,3),
NPerm4(2,0,1,3), NPerm4(2,1,0,3)
};
const NPerm4* orderedPermsS3 = NPerm4::orderedS3;
const NPerm4 NPerm4::S2[2] = {
NPerm4(0,1,2,3), NPerm4(1,0,2,3)
};
const NPerm4* allPermsS2 = NPerm4::S2;
const unsigned NPerm4::invS2[2] = {
0, 1
};
const unsigned* allPermsS2Inv = NPerm4::invS2;
const unsigned char NPerm4::imageTable[24][4] = {
{ 0, 1, 2, 3 }, { 0, 1, 3, 2 }, { 0, 2, 3, 1 }, { 0, 2, 1, 3 },
{ 0, 3, 1, 2 }, { 0, 3, 2, 1 }, { 1, 0, 3, 2 }, { 1, 0, 2, 3 },
{ 1, 2, 0, 3 }, { 1, 2, 3, 0 }, { 1, 3, 2, 0 }, { 1, 3, 0, 2 },
{ 2, 0, 1, 3 }, { 2, 0, 3, 1 }, { 2, 1, 3, 0 }, { 2, 1, 0, 3 },
{ 2, 3, 0, 1 }, { 2, 3, 1, 0 }, { 3, 0, 2, 1 }, { 3, 0, 1, 2 },
{ 3, 1, 0, 2 }, { 3, 1, 2, 0 }, { 3, 2, 1, 0 }, { 3, 2, 0, 1 }
};
const unsigned char NPerm4::productTable[24][24] = {
// Generated using an older version of Regina in which products were
// computed (not simply looked up from a dictionary like the one below).
{ 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23 },
{ 1,0,5,4,3,2,7,6,11,10,9,8,19,18,21,20,23,22,13,12,15,14,17,16 },
{ 2,3,4,5,0,1,12,13,16,17,14,15,18,19,22,23,20,21,6,7,8,9,10,11 },
{ 3,2,1,0,5,4,13,12,15,14,17,16,7,6,9,8,11,10,19,18,23,22,21,20 },
{ 4,5,0,1,2,3,18,19,20,21,22,23,6,7,10,11,8,9,12,13,16,17,14,15 },
{ 5,4,3,2,1,0,19,18,23,22,21,20,13,12,17,16,15,14,7,6,11,10,9,8 },
{ 6,7,10,11,8,9,0,1,4,5,2,3,20,21,18,19,22,23,14,15,12,13,16,17 },
{ 7,6,9,8,11,10,1,0,3,2,5,4,15,14,13,12,17,16,21,20,19,18,23,22 },
{ 8,9,6,7,10,11,14,15,12,13,16,17,0,1,2,3,4,5,20,21,22,23,18,19 },
{ 9,8,11,10,7,6,15,14,17,16,13,12,21,20,23,22,19,18,1,0,3,2,5,4 },
{ 10,11,8,9,6,7,20,21,22,23,18,19,14,15,16,17,12,13,0,1,4,5,2,3 },
{ 11,10,7,6,9,8,21,20,19,18,23,22,1,0,5,4,3,2,15,14,17,16,13,12 },
{ 12,13,14,15,16,17,2,3,0,1,4,5,8,9,6,7,10,11,22,23,18,19,20,21 },
{ 13,12,17,16,15,14,3,2,5,4,1,0,23,22,19,18,21,20,9,8,7,6,11,10 },
{ 14,15,16,17,12,13,8,9,10,11,6,7,22,23,20,21,18,19,2,3,0,1,4,5 },
{ 15,14,13,12,17,16,9,8,7,6,11,10,3,2,1,0,5,4,23,22,21,20,19,18 },
{ 16,17,12,13,14,15,22,23,18,19,20,21,2,3,4,5,0,1,8,9,10,11,6,7 },
{ 17,16,15,14,13,12,23,22,21,20,19,18,9,8,11,10,7,6,3,2,5,4,1,0 },
{ 18,19,22,23,20,21,4,5,2,3,0,1,16,17,12,13,14,15,10,11,6,7,8,9 },
{ 19,18,21,20,23,22,5,4,1,0,3,2,11,10,7,6,9,8,17,16,13,12,15,14 },
{ 20,21,18,19,22,23,10,11,6,7,8,9,4,5,0,1,2,3,16,17,14,15,12,13 },
{ 21,20,23,22,19,18,11,10,9,8,7,6,17,16,15,14,13,12,5,4,1,0,3,2 },
{ 22,23,20,21,18,19,16,17,14,15,12,13,10,11,8,9,6,7,4,5,2,3,0,1 },
{ 23,22,19,18,21,20,17,16,13,12,15,14,5,4,3,2,1,0,11,10,9,8,7,6 }
};
const unsigned char NPerm4::swapTable[4][4] = {
{ 0, 7, 15, 21 },
{ 7, 0, 3, 5 },
{ 15, 3, 0, 1 },
{ 21, 5, 1, 0 }
};
NPerm4::NPerm4(int a0, int a1, int b0, int b1, int c0, int c1, int d0, int d1) {
int image[4];
image[a0] = a1;
image[b0] = b1;
image[c0] = c1;
image[d0] = d1;
code_ = static_cast<unsigned char>(
S4Index(image[0], image[1], image[2], image[3]));
}
bool NPerm4::isPermCode(unsigned char code) {
unsigned mask = 0;
for (int i = 0; i < 4; i++)
mask |= (1 << ((code >> (2 * i)) & 3));
// mask |= (1 << imageOf(i));
return (mask == 15);
}
std::string NPerm4::toString() const {
char ans[5];
for (int i = 0; i < 4; i++)
ans[i] = static_cast<char>('0' + imageTable[code_][i]);
ans[4] = 0;
return ans;
}
std::string NPerm4::trunc2() const {
char ans[3];
ans[0] = static_cast<char>('0' + imageTable[code_][0]);
ans[1] = static_cast<char>('0' + imageTable[code_][1]);
ans[2] = 0;
return ans;
}
std::string NPerm4::trunc3() const {
char ans[4];
ans[0] = static_cast<char>('0' + imageTable[code_][0]);
ans[1] = static_cast<char>('0' + imageTable[code_][1]);
ans[2] = static_cast<char>('0' + imageTable[code_][2]);
ans[3] = 0;
return ans;
}
NPerm4 faceOrdering(int face) {
switch(face) {
case 0:
return NPerm4(1,2,3,0);
case 1:
return NPerm4(0,2,3,1);
case 2:
return NPerm4(0,1,3,2);
case 3:
return NPerm4(0,1,2,3);
}
return NPerm4();
}
NPerm4 edgeOrdering(int edge) {
switch(edge) {
case 0:
return NPerm4(0,1,2,3);
case 1:
return NPerm4(0,2,3,1);
case 2:
return NPerm4(0,3,1,2);
case 3:
return NPerm4(1,2,0,3);
case 4:
return NPerm4(1,3,2,0);
case 5:
return NPerm4(2,3,0,1);
}
return NPerm4();
}
std::string faceDescription(int face) {
// deprecated
return NFace::ordering[face].trunc3();
}
std::string edgeDescription(int edge) {
// deprecated
return NEdge::ordering[edge].trunc2();
}
} // namespace regina
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