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ptm_fundamental_mappings.h
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ptm_fundamental_mappings.h
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/*Copyright (c) 2016 PM Larsen
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*/
#ifndef PTM_FUNDAMENTAL_MAPPINGS_H
#define PTM_FUNDAMENTAL_MAPPINGS_H
#include <stdint.h>
namespace ptm {
#define NUM_CUBIC_MAPPINGS 24
#define NUM_ICO_MAPPINGS 60
#define NUM_HEX_MAPPINGS 6
#define NUM_DCUB_MAPPINGS 12
#define NUM_DHEX_MAPPINGS 3
#define NUM_GRAPHENE_MAPPINGS 6
#define NUM_CONVENTIONAL_GRAPHENE_MAPPINGS 12
#define NUM_CONVENTIONAL_HEX_MAPPINGS 12
#define NUM_CONVENTIONAL_DCUB_MAPPINGS 24
#define NUM_CONVENTIONAL_DHEX_MAPPINGS 12
//-----------------------------------------------------------------------------
// sc
//-----------------------------------------------------------------------------
const int8_t mapping_sc[NUM_CUBIC_MAPPINGS][PTM_MAX_POINTS] = {
{ 0, 1, 2, 3, 4, 5, 6},
{ 0, 3, 4, 2, 1, 5, 6},
{ 0, 6, 5, 3, 4, 1, 2},
{ 0, 1, 2, 5, 6, 4, 3},
{ 0, 1, 2, 6, 5, 3, 4},
{ 0, 5, 6, 3, 4, 2, 1},
{ 0, 4, 3, 1, 2, 5, 6},
{ 0, 3, 4, 5, 6, 1, 2},
{ 0, 6, 5, 2, 1, 3, 4},
{ 0, 5, 6, 2, 1, 4, 3},
{ 0, 3, 4, 6, 5, 2, 1},
{ 0, 6, 5, 1, 2, 4, 3},
{ 0, 4, 3, 6, 5, 1, 2},
{ 0, 4, 3, 5, 6, 2, 1},
{ 0, 5, 6, 1, 2, 3, 4},
{ 0, 2, 1, 4, 3, 5, 6},
{ 0, 2, 1, 5, 6, 3, 4},
{ 0, 5, 6, 4, 3, 1, 2},
{ 0, 6, 5, 4, 3, 2, 1},
{ 0, 2, 1, 6, 5, 4, 3},
{ 0, 2, 1, 3, 4, 6, 5},
{ 0, 3, 4, 1, 2, 6, 5},
{ 0, 4, 3, 2, 1, 6, 5},
{ 0, 1, 2, 4, 3, 6, 5},
};
//-----------------------------------------------------------------------------
// fcc
//-----------------------------------------------------------------------------
const int8_t mapping_fcc[NUM_CUBIC_MAPPINGS][PTM_MAX_POINTS] = {
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12},
{ 0, 12, 11, 1, 9, 8, 4, 6, 2, 7, 3, 5, 10},
{ 0, 2, 7, 9, 5, 10, 12, 11, 4, 6, 8, 1, 3},
{ 0, 10, 3, 8, 7, 6, 11, 1, 9, 2, 4, 12, 5},
{ 0, 7, 9, 2, 10, 12, 5, 4, 3, 8, 1, 6, 11},
{ 0, 11, 1, 12, 8, 4, 9, 2, 10, 3, 5, 7, 6},
{ 0, 3, 8, 10, 6, 11, 7, 9, 5, 4, 12, 2, 1},
{ 0, 3, 1, 2, 6, 4, 5, 12, 7, 11, 9, 10, 8},
{ 0, 11, 6, 7, 8, 3, 10, 5, 9, 4, 2, 12, 1},
{ 0, 5, 12, 10, 2, 9, 7, 11, 3, 1, 8, 6, 4},
{ 0, 6, 7, 11, 3, 10, 8, 9, 1, 2, 12, 4, 5},
{ 0, 8, 9, 4, 11, 12, 1, 2, 6, 7, 5, 3, 10},
{ 0, 9, 4, 8, 12, 1, 11, 6, 10, 5, 3, 7, 2},
{ 0, 12, 10, 5, 9, 7, 2, 3, 4, 8, 6, 1, 11},
{ 0, 2, 3, 1, 5, 6, 4, 8, 12, 10, 11, 9, 7},
{ 0, 10, 5, 12, 7, 2, 9, 4, 11, 6, 1, 8, 3},
{ 0, 1, 12, 11, 4, 9, 8, 10, 6, 5, 7, 3, 2},
{ 0, 8, 10, 3, 11, 7, 6, 5, 1, 12, 2, 4, 9},
{ 0, 5, 4, 6, 2, 1, 3, 8, 7, 9, 11, 10, 12},
{ 0, 4, 6, 5, 1, 3, 2, 7, 12, 11, 10, 9, 8},
{ 0, 7, 11, 6, 10, 8, 3, 1, 5, 12, 4, 2, 9},
{ 0, 9, 2, 7, 12, 5, 10, 3, 11, 1, 6, 8, 4},
{ 0, 6, 5, 4, 3, 2, 1, 12, 8, 10, 9, 11, 7},
{ 0, 4, 8, 9, 1, 11, 12, 10, 2, 3, 7, 5, 6},
};
//-----------------------------------------------------------------------------
// bcc
//-----------------------------------------------------------------------------
const int8_t mapping_bcc[NUM_CUBIC_MAPPINGS][PTM_MAX_POINTS] = {
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14},
{ 0, 3, 6, 8, 2, 1, 7, 4, 5, 9, 10, 14, 13, 11, 12},
{ 0, 2, 6, 1, 7, 4, 3, 8, 5, 13, 14, 11, 12, 10, 9},
{ 0, 5, 1, 8, 2, 4, 3, 6, 7, 12, 11, 9, 10, 13, 14},
{ 0, 2, 4, 6, 5, 1, 7, 8, 3, 11, 12, 10, 9, 13, 14},
{ 0, 3, 1, 6, 5, 8, 2, 4, 7, 14, 13, 11, 12, 9, 10},
{ 0, 5, 4, 1, 7, 8, 2, 6, 3, 9, 10, 13, 14, 12, 11},
{ 0, 1, 3, 5, 6, 2, 8, 7, 4, 13, 14, 9, 10, 11, 12},
{ 0, 6, 7, 3, 4, 2, 8, 5, 1, 11, 12, 14, 13, 10, 9},
{ 0, 8, 3, 7, 1, 5, 6, 2, 4, 12, 11, 14, 13, 9, 10},
{ 0, 6, 2, 7, 1, 3, 4, 5, 8, 14, 13, 10, 9, 11, 12},
{ 0, 4, 2, 5, 6, 7, 1, 3, 8, 12, 11, 13, 14, 10, 9},
{ 0, 4, 7, 2, 8, 5, 6, 3, 1, 13, 14, 10, 9, 12, 11},
{ 0, 8, 5, 3, 4, 7, 1, 2, 6, 14, 13, 9, 10, 12, 11},
{ 0, 1, 5, 2, 8, 3, 4, 7, 6, 11, 12, 13, 14, 9, 10},
{ 0, 8, 7, 5, 6, 3, 4, 2, 1, 9, 10, 12, 11, 14, 13},
{ 0, 3, 8, 1, 7, 6, 5, 4, 2, 11, 12, 9, 10, 14, 13},
{ 0, 5, 8, 4, 3, 1, 7, 6, 2, 13, 14, 12, 11, 9, 10},
{ 0, 7, 4, 8, 2, 6, 5, 1, 3, 14, 13, 12, 11, 10, 9},
{ 0, 7, 6, 4, 3, 8, 2, 1, 5, 12, 11, 10, 9, 14, 13},
{ 0, 6, 3, 2, 8, 7, 1, 5, 4, 10, 9, 11, 12, 14, 13},
{ 0, 2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 13, 14, 11, 12},
{ 0, 7, 8, 6, 5, 4, 3, 1, 2, 10, 9, 14, 13, 12, 11},
{ 0, 4, 5, 7, 1, 2, 8, 3, 6, 10, 9, 12, 11, 13, 14},
};
//-----------------------------------------------------------------------------
// ico
//-----------------------------------------------------------------------------
const int8_t mapping_ico[NUM_ICO_MAPPINGS][PTM_MAX_POINTS] = {
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12},
{ 0, 6, 5, 2, 1, 12, 11, 4, 3, 9, 10, 7, 8},
{ 0, 6, 5, 9, 10, 4, 3, 7, 8, 12, 11, 2, 1},
{ 0, 8, 7, 2, 1, 4, 3, 10, 9, 5, 6, 11, 12},
{ 0, 10, 9, 3, 4, 12, 11, 5, 6, 8, 7, 2, 1},
{ 0, 8, 7, 11, 12, 5, 6, 4, 3, 2, 1, 10, 9},
{ 0, 1, 2, 11, 12, 9, 10, 5, 6, 3, 4, 7, 8},
{ 0, 1, 2, 9, 10, 7, 8, 11, 12, 5, 6, 3, 4},
{ 0, 10, 9, 8, 7, 5, 6, 2, 1, 12, 11, 3, 4},
{ 0, 12, 11, 3, 4, 7, 8, 10, 9, 2, 1, 6, 5},
{ 0, 4, 3, 6, 5, 9, 10, 2, 1, 8, 7, 11, 12},
{ 0, 12, 11, 6, 5, 2, 1, 7, 8, 3, 4, 10, 9},
{ 0, 4, 3, 8, 7, 2, 1, 11, 12, 9, 10, 6, 5},
{ 0, 3, 4, 5, 6, 1, 2, 10, 9, 12, 11, 7, 8},
{ 0, 11, 12, 9, 10, 1, 2, 4, 3, 8, 7, 5, 6},
{ 0, 3, 4, 7, 8, 12, 11, 1, 2, 5, 6, 10, 9},
{ 0, 8, 7, 5, 6, 10, 9, 11, 12, 4, 3, 2, 1},
{ 0, 10, 9, 2, 1, 8, 7, 12, 11, 3, 4, 5, 6},
{ 0, 11, 12, 8, 7, 4, 3, 5, 6, 1, 2, 9, 10},
{ 0, 6, 5, 7, 8, 9, 10, 12, 11, 2, 1, 4, 3},
{ 0, 6, 5, 12, 11, 7, 8, 2, 1, 4, 3, 9, 10},
{ 0, 9, 10, 11, 12, 4, 3, 1, 2, 7, 8, 6, 5},
{ 0, 12, 11, 2, 1, 10, 9, 6, 5, 7, 8, 3, 4},
{ 0, 4, 3, 11, 12, 8, 7, 9, 10, 6, 5, 2, 1},
{ 0, 7, 8, 6, 5, 12, 11, 9, 10, 1, 2, 3, 4},
{ 0, 8, 7, 10, 9, 2, 1, 5, 6, 11, 12, 4, 3},
{ 0, 10, 9, 12, 11, 2, 1, 3, 4, 5, 6, 8, 7},
{ 0, 9, 10, 6, 5, 7, 8, 4, 3, 11, 12, 1, 2},
{ 0, 4, 3, 9, 10, 11, 12, 6, 5, 2, 1, 8, 7},
{ 0, 12, 11, 10, 9, 3, 4, 2, 1, 6, 5, 7, 8},
{ 0, 7, 8, 1, 2, 9, 10, 3, 4, 12, 11, 6, 5},
{ 0, 5, 6, 8, 7, 11, 12, 10, 9, 3, 4, 1, 2},
{ 0, 5, 6, 1, 2, 3, 4, 11, 12, 8, 7, 10, 9},
{ 0, 11, 12, 5, 6, 8, 7, 1, 2, 9, 10, 4, 3},
{ 0, 3, 4, 12, 11, 10, 9, 7, 8, 1, 2, 5, 6},
{ 0, 9, 10, 7, 8, 1, 2, 6, 5, 4, 3, 11, 12},
{ 0, 7, 8, 3, 4, 1, 2, 12, 11, 6, 5, 9, 10},
{ 0, 3, 4, 10, 9, 5, 6, 12, 11, 7, 8, 1, 2},
{ 0, 1, 2, 7, 8, 3, 4, 9, 10, 11, 12, 5, 6},
{ 0, 1, 2, 5, 6, 11, 12, 3, 4, 7, 8, 9, 10},
{ 0, 11, 12, 1, 2, 5, 6, 9, 10, 4, 3, 8, 7},
{ 0, 5, 6, 3, 4, 10, 9, 1, 2, 11, 12, 8, 7},
{ 0, 5, 6, 10, 9, 8, 7, 3, 4, 1, 2, 11, 12},
{ 0, 9, 10, 1, 2, 11, 12, 7, 8, 6, 5, 4, 3},
{ 0, 7, 8, 12, 11, 3, 4, 6, 5, 9, 10, 1, 2},
{ 0, 2, 1, 12, 11, 6, 5, 10, 9, 8, 7, 4, 3},
{ 0, 2, 1, 4, 3, 8, 7, 6, 5, 12, 11, 10, 9},
{ 0, 9, 10, 4, 3, 6, 5, 11, 12, 1, 2, 7, 8},
{ 0, 7, 8, 9, 10, 6, 5, 1, 2, 3, 4, 12, 11},
{ 0, 2, 1, 8, 7, 10, 9, 4, 3, 6, 5, 12, 11},
{ 0, 11, 12, 4, 3, 9, 10, 8, 7, 5, 6, 1, 2},
{ 0, 10, 9, 5, 6, 3, 4, 8, 7, 2, 1, 12, 11},
{ 0, 8, 7, 4, 3, 11, 12, 2, 1, 10, 9, 5, 6},
{ 0, 3, 4, 1, 2, 7, 8, 5, 6, 10, 9, 12, 11},
{ 0, 2, 1, 10, 9, 12, 11, 8, 7, 4, 3, 6, 5},
{ 0, 12, 11, 7, 8, 6, 5, 3, 4, 10, 9, 2, 1},
{ 0, 4, 3, 2, 1, 6, 5, 8, 7, 11, 12, 9, 10},
{ 0, 2, 1, 6, 5, 4, 3, 12, 11, 10, 9, 8, 7},
{ 0, 5, 6, 11, 12, 1, 2, 8, 7, 10, 9, 3, 4},
{ 0, 6, 5, 4, 3, 2, 1, 9, 10, 7, 8, 12, 11},
};
//-----------------------------------------------------------------------------
// hcp
//-----------------------------------------------------------------------------
const int8_t mapping_hcp[NUM_HEX_MAPPINGS][PTM_MAX_POINTS] = {
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12},
{ 0, 2, 7, 4, 5, 3, 8, 1, 9, 6, 12, 10, 11},
{ 0, 7, 1, 5, 3, 4, 9, 2, 6, 8, 11, 12, 10},
{ 0, 6, 9, 10, 11, 12, 1, 8, 7, 2, 3, 4, 5},
{ 0, 8, 6, 12, 10, 11, 2, 9, 1, 7, 4, 5, 3},
{ 0, 9, 8, 11, 12, 10, 7, 6, 2, 1, 5, 3, 4},
};
const int8_t template_indices_hcp[NUM_CONVENTIONAL_HEX_MAPPINGS] = {0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1};
const int8_t mapping_hcp_conventional[NUM_CONVENTIONAL_HEX_MAPPINGS][PTM_MAX_POINTS] = {
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12},
{ 0, 2, 7, 4, 5, 3, 8, 1, 9, 6, 12, 10, 11},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12},
{ 0, 2, 7, 4, 5, 3, 8, 1, 9, 6, 12, 10, 11},
{ 0, 7, 1, 5, 3, 4, 9, 2, 6, 8, 11, 12, 10},
{ 0, 8, 6, 12, 10, 11, 2, 9, 1, 7, 4, 5, 3},
{ 0, 6, 9, 10, 11, 12, 1, 8, 7, 2, 3, 4, 5},
{ 0, 8, 6, 12, 10, 11, 2, 9, 1, 7, 4, 5, 3},
{ 0, 6, 9, 10, 11, 12, 1, 8, 7, 2, 3, 4, 5},
{ 0, 9, 8, 11, 12, 10, 7, 6, 2, 1, 5, 3, 4},
{ 0, 9, 8, 11, 12, 10, 7, 6, 2, 1, 5, 3, 4},
{ 0, 7, 1, 5, 3, 4, 9, 2, 6, 8, 11, 12, 10},
};
const int8_t mapping_hcp_conventional_inverse[NUM_CONVENTIONAL_HEX_MAPPINGS][PTM_MAX_POINTS] = {
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12},
{ 0, 7, 1, 5, 3, 4, 9, 2, 6, 8, 11, 12, 10},
{ 0, 2, 7, 4, 5, 3, 8, 1, 9, 6, 12, 10, 11},
{ 0, 7, 1, 5, 3, 4, 9, 2, 6, 8, 11, 12, 10},
{ 0, 8, 6, 12, 10, 11, 2, 9, 1, 7, 4, 5, 3},
{ 0, 8, 6, 12, 10, 11, 2, 9, 1, 7, 4, 5, 3},
{ 0, 9, 8, 11, 12, 10, 7, 6, 2, 1, 5, 3, 4},
{ 0, 6, 9, 10, 11, 12, 1, 8, 7, 2, 3, 4, 5},
{ 0, 9, 8, 11, 12, 10, 7, 6, 2, 1, 5, 3, 4},
{ 0, 6, 9, 10, 11, 12, 1, 8, 7, 2, 3, 4, 5},
{ 0, 2, 7, 4, 5, 3, 8, 1, 9, 6, 12, 10, 11},
};
//-----------------------------------------------------------------------------
// dcub
//-----------------------------------------------------------------------------
const int8_t mapping_dcub[NUM_DCUB_MAPPINGS][PTM_MAX_POINTS] = {
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16},
{ 0, 1, 3, 4, 2, 7, 5, 6, 11, 13, 12, 14, 15, 16, 8, 10, 9},
{ 0, 4, 1, 3, 2, 16, 14, 15, 7, 6, 5, 12, 13, 11, 9, 8, 10},
{ 0, 2, 3, 1, 4, 8, 10, 9, 13, 12, 11, 6, 7, 5, 15, 16, 14},
{ 0, 4, 2, 1, 3, 14, 15, 16, 9, 10, 8, 7, 5, 6, 12, 13, 11},
{ 0, 3, 2, 4, 1, 12, 13, 11, 10, 8, 9, 16, 14, 15, 5, 6, 7},
{ 0, 3, 1, 2, 4, 13, 11, 12, 5, 7, 6, 10, 9, 8, 16, 14, 15},
{ 0, 2, 4, 3, 1, 10, 9, 8, 15, 14, 16, 13, 11, 12, 6, 7, 5},
{ 0, 1, 4, 2, 3, 6, 7, 5, 14, 16, 15, 8, 10, 9, 11, 12, 13},
{ 0, 2, 1, 4, 3, 9, 8, 10, 6, 5, 7, 15, 16, 14, 13, 11, 12},
{ 0, 4, 3, 2, 1, 15, 16, 14, 12, 11, 13, 9, 8, 10, 7, 5, 6},
{ 0, 3, 4, 1, 2, 11, 12, 13, 16, 15, 14, 5, 6, 7, 10, 9, 8},
};
const int8_t template_indices_dcub[NUM_CONVENTIONAL_DCUB_MAPPINGS] = {0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0};
const int8_t mapping_dcub_conventional[NUM_CONVENTIONAL_DCUB_MAPPINGS][PTM_MAX_POINTS] = {
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16},
{ 0, 2, 1, 4, 3, 9, 8, 10, 6, 5, 7, 15, 16, 14, 13, 11, 12},
{ 0, 4, 1, 3, 2, 16, 14, 15, 7, 6, 5, 12, 13, 11, 9, 8, 10},
{ 0, 1, 3, 4, 2, 7, 5, 6, 11, 13, 12, 14, 15, 16, 8, 10, 9},
{ 0, 4, 2, 1, 3, 14, 15, 16, 9, 10, 8, 7, 5, 6, 12, 13, 11},
{ 0, 2, 3, 1, 4, 8, 10, 9, 13, 12, 11, 6, 7, 5, 15, 16, 14},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16},
{ 0, 1, 3, 4, 2, 7, 5, 6, 11, 13, 12, 14, 15, 16, 8, 10, 9},
{ 0, 4, 1, 3, 2, 16, 14, 15, 7, 6, 5, 12, 13, 11, 9, 8, 10},
{ 0, 2, 3, 1, 4, 8, 10, 9, 13, 12, 11, 6, 7, 5, 15, 16, 14},
{ 0, 4, 2, 1, 3, 14, 15, 16, 9, 10, 8, 7, 5, 6, 12, 13, 11},
{ 0, 3, 2, 4, 1, 12, 13, 11, 10, 8, 9, 16, 14, 15, 5, 6, 7},
{ 0, 3, 1, 2, 4, 13, 11, 12, 5, 7, 6, 10, 9, 8, 16, 14, 15},
{ 0, 2, 4, 3, 1, 10, 9, 8, 15, 14, 16, 13, 11, 12, 6, 7, 5},
{ 0, 1, 4, 2, 3, 6, 7, 5, 14, 16, 15, 8, 10, 9, 11, 12, 13},
{ 0, 2, 1, 4, 3, 9, 8, 10, 6, 5, 7, 15, 16, 14, 13, 11, 12},
{ 0, 2, 4, 3, 1, 10, 9, 8, 15, 14, 16, 13, 11, 12, 6, 7, 5},
{ 0, 1, 4, 2, 3, 6, 7, 5, 14, 16, 15, 8, 10, 9, 11, 12, 13},
{ 0, 3, 2, 4, 1, 12, 13, 11, 10, 8, 9, 16, 14, 15, 5, 6, 7},
{ 0, 3, 1, 2, 4, 13, 11, 12, 5, 7, 6, 10, 9, 8, 16, 14, 15},
{ 0, 4, 3, 2, 1, 15, 16, 14, 12, 11, 13, 9, 8, 10, 7, 5, 6},
{ 0, 4, 3, 2, 1, 15, 16, 14, 12, 11, 13, 9, 8, 10, 7, 5, 6},
{ 0, 3, 4, 1, 2, 11, 12, 13, 16, 15, 14, 5, 6, 7, 10, 9, 8},
{ 0, 3, 4, 1, 2, 11, 12, 13, 16, 15, 14, 5, 6, 7, 10, 9, 8},
};
const int8_t mapping_dcub_conventional_inverse[NUM_CONVENTIONAL_DCUB_MAPPINGS][PTM_MAX_POINTS] = {
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16},
{ 0, 3, 1, 2, 4, 13, 11, 12, 5, 7, 6, 10, 9, 8, 16, 14, 15},
{ 0, 3, 2, 4, 1, 12, 13, 11, 10, 8, 9, 16, 14, 15, 5, 6, 7},
{ 0, 1, 4, 2, 3, 6, 7, 5, 14, 16, 15, 8, 10, 9, 11, 12, 13},
{ 0, 2, 4, 3, 1, 10, 9, 8, 15, 14, 16, 13, 11, 12, 6, 7, 5},
{ 0, 2, 1, 4, 3, 9, 8, 10, 6, 5, 7, 15, 16, 14, 13, 11, 12},
{ 0, 4, 1, 3, 2, 16, 14, 15, 7, 6, 5, 12, 13, 11, 9, 8, 10},
{ 0, 4, 2, 1, 3, 14, 15, 16, 9, 10, 8, 7, 5, 6, 12, 13, 11},
{ 0, 1, 3, 4, 2, 7, 5, 6, 11, 13, 12, 14, 15, 16, 8, 10, 9},
{ 0, 2, 3, 1, 4, 8, 10, 9, 13, 12, 11, 6, 7, 5, 15, 16, 14},
{ 0, 3, 1, 2, 4, 13, 11, 12, 5, 7, 6, 10, 9, 8, 16, 14, 15},
{ 0, 1, 4, 2, 3, 6, 7, 5, 14, 16, 15, 8, 10, 9, 11, 12, 13},
{ 0, 3, 2, 4, 1, 12, 13, 11, 10, 8, 9, 16, 14, 15, 5, 6, 7},
{ 0, 2, 4, 3, 1, 10, 9, 8, 15, 14, 16, 13, 11, 12, 6, 7, 5},
{ 0, 2, 1, 4, 3, 9, 8, 10, 6, 5, 7, 15, 16, 14, 13, 11, 12},
{ 0, 4, 1, 3, 2, 16, 14, 15, 7, 6, 5, 12, 13, 11, 9, 8, 10},
{ 0, 1, 3, 4, 2, 7, 5, 6, 11, 13, 12, 14, 15, 16, 8, 10, 9},
{ 0, 4, 2, 1, 3, 14, 15, 16, 9, 10, 8, 7, 5, 6, 12, 13, 11},
{ 0, 2, 3, 1, 4, 8, 10, 9, 13, 12, 11, 6, 7, 5, 15, 16, 14},
{ 0, 3, 4, 1, 2, 11, 12, 13, 16, 15, 14, 5, 6, 7, 10, 9, 8},
{ 0, 4, 3, 2, 1, 15, 16, 14, 12, 11, 13, 9, 8, 10, 7, 5, 6},
{ 0, 3, 4, 1, 2, 11, 12, 13, 16, 15, 14, 5, 6, 7, 10, 9, 8},
{ 0, 4, 3, 2, 1, 15, 16, 14, 12, 11, 13, 9, 8, 10, 7, 5, 6},
};
//-----------------------------------------------------------------------------
// dhex
//-----------------------------------------------------------------------------
const int8_t mapping_dhex[NUM_DHEX_MAPPINGS][PTM_MAX_POINTS] = {
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16},
{ 0, 3, 1, 2, 4, 12, 11, 13, 5, 6, 7, 9, 8, 10, 16, 14, 15},
{ 0, 2, 3, 1, 4, 8, 9, 10, 12, 11, 13, 6, 5, 7, 15, 16, 14},
};
const int8_t template_indices_dhex[NUM_CONVENTIONAL_DHEX_MAPPINGS] = {0, 1, 1, 0, 0, 3, 2, 2, 3, 3, 2, 1};
const int8_t mapping_dhex_conventional[NUM_CONVENTIONAL_DHEX_MAPPINGS][PTM_MAX_POINTS] = {
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16},
{ 0, 3, 1, 2, 4, 12, 11, 13, 5, 6, 7, 9, 8, 10, 16, 14, 15},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16},
{ 0, 3, 1, 2, 4, 12, 11, 13, 5, 6, 7, 9, 8, 10, 16, 14, 15},
{ 0, 2, 3, 1, 4, 8, 9, 10, 12, 11, 13, 6, 5, 7, 15, 16, 14},
{ 0, 2, 3, 1, 4, 8, 9, 10, 12, 11, 13, 6, 5, 7, 15, 16, 14},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16},
{ 0, 2, 3, 1, 4, 8, 9, 10, 12, 11, 13, 6, 5, 7, 15, 16, 14},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16},
{ 0, 3, 1, 2, 4, 12, 11, 13, 5, 6, 7, 9, 8, 10, 16, 14, 15},
{ 0, 3, 1, 2, 4, 12, 11, 13, 5, 6, 7, 9, 8, 10, 16, 14, 15},
{ 0, 2, 3, 1, 4, 8, 9, 10, 12, 11, 13, 6, 5, 7, 15, 16, 14},
};
const int8_t mapping_dhex_conventional_inverse[NUM_CONVENTIONAL_DHEX_MAPPINGS][PTM_MAX_POINTS] = {
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16},
{ 0, 2, 3, 1, 4, 8, 9, 10, 12, 11, 13, 6, 5, 7, 15, 16, 14},
{ 0, 3, 1, 2, 4, 12, 11, 13, 5, 6, 7, 9, 8, 10, 16, 14, 15},
{ 0, 2, 3, 1, 4, 8, 9, 10, 12, 11, 13, 6, 5, 7, 15, 16, 14},
{ 0, 3, 1, 2, 4, 12, 11, 13, 5, 6, 7, 9, 8, 10, 16, 14, 15},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16},
{ 0, 3, 1, 2, 4, 12, 11, 13, 5, 6, 7, 9, 8, 10, 16, 14, 15},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16},
{ 0, 2, 3, 1, 4, 8, 9, 10, 12, 11, 13, 6, 5, 7, 15, 16, 14},
{ 0, 2, 3, 1, 4, 8, 9, 10, 12, 11, 13, 6, 5, 7, 15, 16, 14},
{ 0, 3, 1, 2, 4, 12, 11, 13, 5, 6, 7, 9, 8, 10, 16, 14, 15},
};
//-----------------------------------------------------------------------------
// graphene
//-----------------------------------------------------------------------------
const int8_t mapping_graphene[NUM_GRAPHENE_MAPPINGS][PTM_MAX_POINTS] = {
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9},
{ 0, 2, 3, 1, 6, 7, 8, 9, 4, 5},
{ 0, 3, 1, 2, 8, 9, 4, 5, 6, 7},
{ 0, 2, 1, 3, 7, 6, 5, 4, 9, 8},
{ 0, 3, 2, 1, 9, 8, 7, 6, 5, 4},
{ 0, 1, 3, 2, 5, 4, 9, 8, 7, 6},
};
const int8_t template_indices_graphene[NUM_CONVENTIONAL_GRAPHENE_MAPPINGS] = {0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1};
const int8_t mapping_graphene_conventional[NUM_CONVENTIONAL_GRAPHENE_MAPPINGS][PTM_MAX_POINTS] = {
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9},
{ 0, 2, 3, 1, 6, 7, 8, 9, 4, 5},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9},
{ 0, 2, 3, 1, 6, 7, 8, 9, 4, 5},
{ 0, 3, 1, 2, 8, 9, 4, 5, 6, 7},
{ 0, 3, 2, 1, 9, 8, 7, 6, 5, 4},
{ 0, 2, 1, 3, 7, 6, 5, 4, 9, 8},
{ 0, 3, 2, 1, 9, 8, 7, 6, 5, 4},
{ 0, 2, 1, 3, 7, 6, 5, 4, 9, 8},
{ 0, 1, 3, 2, 5, 4, 9, 8, 7, 6},
{ 0, 1, 3, 2, 5, 4, 9, 8, 7, 6},
{ 0, 3, 1, 2, 8, 9, 4, 5, 6, 7},
};
const int8_t mapping_graphene_conventional_inverse[NUM_CONVENTIONAL_GRAPHENE_MAPPINGS][PTM_MAX_POINTS] = {
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9},
{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9},
{ 0, 3, 1, 2, 8, 9, 4, 5, 6, 7},
{ 0, 2, 3, 1, 6, 7, 8, 9, 4, 5},
{ 0, 3, 1, 2, 8, 9, 4, 5, 6, 7},
{ 0, 3, 2, 1, 9, 8, 7, 6, 5, 4},
{ 0, 3, 2, 1, 9, 8, 7, 6, 5, 4},
{ 0, 1, 3, 2, 5, 4, 9, 8, 7, 6},
{ 0, 2, 1, 3, 7, 6, 5, 4, 9, 8},
{ 0, 1, 3, 2, 5, 4, 9, 8, 7, 6},
{ 0, 2, 1, 3, 7, 6, 5, 4, 9, 8},
{ 0, 2, 3, 1, 6, 7, 8, 9, 4, 5},
};
}
#endif