octahedron_rules.h

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/*
 * Copyright (c) 2014-2015:  G-CSC, Goethe University Frankfurt
 * Author: Martin Stepniewski
 * 
 * This file is part of UG4.
 * 
 * UG4 is free software: you can redistribute it and/or modify it under the
 * terms of the GNU Lesser General Public License version 3 (as published by the
 * Free Software Foundation) with the following additional attribution
 * requirements (according to LGPL/GPL v3 §7):
 * 
 * (1) The following notice must be displayed in the Appropriate Legal Notices
 * of covered and combined works: "Based on UG4 (www.ug4.org/license)".
 * 
 * (2) The following notice must be displayed at a prominent place in the
 * terminal output of covered works: "Based on UG4 (www.ug4.org/license)".
 * 
 * (3) The following bibliography is recommended for citation and must be
 * preserved in all covered files:
 * "Reiter, S., Vogel, A., Heppner, I., Rupp, M., and Wittum, G. A massively
 *   parallel geometric multigrid solver on hierarchically distributed grids.
 *   Computing and visualization in science 16, 4 (2013), 151-164"
 * "Vogel, A., Reiter, S., Rupp, M., Nägel, A., and Wittum, G. UG4 -- a novel
 *   flexible software system for simulating pde based models on high performance
 *   computers. Computing and visualization in science 16, 4 (2013), 165-179"
 * 
 * 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 Lesser General Public License for more details.
 */
 
#ifndef __H__UG__octahedron_rules__
#define __H__UG__octahedron_rules__
 
#include "common/math/ugmath.h"
 
namespace ug{
namespace oct_rules
{
 
//  LOOKUP TABLES
 
const int NUM_VERTICES  = 6;
const int NUM_EDGES   = 12;
const int NUM_FACES   = 8;
const int NUM_TRIS    = 8;
const int NUM_QUADS   = 0;
 
/* in case of regular refinement an octahedron is subdivided into 14 elements,
 * 6 octahedrons and 8 tetrahedrons, resulting in 14 type-info plus
 * 6*6 octahedral vertex plus 4*8 tetrahedral vertex indices,
 * thus 82 MAX_NUM_INDS_OUT
 */
const int MAX_NUM_INDS_OUT = 82;//todo: this is just an estimate!
 
const int EDGE_VRT_INDS[][2] = {  {0, 1}, {0, 2}, {0, 3}, {0, 4},
                  {1, 2}, {2, 3}, {3, 4}, {4, 1},
                  {1, 5}, {2, 5}, {3, 5}, {4, 5}};
 
const int FACE_VRT_INDS[][4] = {  {0, 1, 2, -1}, {0, 2, 3, -1}, {0, 3, 4, -1}, {0, 4, 1, -1},
                  {1, 5, 2, -1}, {2, 5, 3, -1}, {3, 5, 4, -1}, {4, 5, 1, -1}};
 
const int BOTTOM_VERTEX = 0;
 
const int TOP_VERTEX = 5;
 
const int OPPOSED_OBJECT[][NUM_VERTICES] = {{0, 5}, {0, 3}, {0, 4}, {0, 1}, {0, 2}, {0, 0}};
 
 
//  NOTE: The lists below are all generated automatically
 
const int FACE_EDGE_INDS[8][4] = {  {0, 4, 1, -1}, {1, 5, 2, -1}, {2, 6, 3, -1}, {3, 7, 0, -1},
                  {8, 9, 4, -1}, {9, 10, 5, -1}, {10, 11, 6, -1}, {11, 8, 7, -1}};
 
const int FACE_CONTAINS_EDGE[][12] = {  {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0},
                    {0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0},
                    {0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0},
                    {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0},
                    {0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0},
                    {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0},
                    {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1},
                    {0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1}};
 
 
const int EDGE_FROM_VRTS[6][6] = {  {-1, 0, 1, 2, 3, -1}, {0, -1, 4, -1, 7, 8}, {1, 4, -1, 5, -1, 9},
                  {2, -1, 5, -1, 6, 10}, {3, 7, -1, 6, -1, 11}, {-1, 8, 9, 10, 11, -1}};
 
 
const int FACE_FROM_VRTS[6][6][6] = { {{-1, -1, -1, -1, -1, -1}, {-1, -1, 0, -1, 3, -1}, {-1, 0, -1, 1, -1, -1}, {-1, -1, 1, -1, 2, -1}, {-1, 3, -1, 2, -1, -1}, {-1, -1, -1, -1, -1, -1}},
                    {{-1, -1, 0, -1, 3, -1}, {-1, -1, -1, -1, -1, -1}, {0, -1, -1, -1, -1, 4}, {-1, -1, -1, -1, -1, -1}, {3, -1, -1, -1, -1, 7}, {-1, -1, 4, -1, 7, -1}},
                    {{-1, 0, -1, 1, -1, -1}, {0, -1, -1, -1, -1, 4}, {-1, -1, -1, -1, -1, -1}, {1, -1, -1, -1, -1, 5}, {-1, -1, -1, -1, -1, -1}, {-1, 4, -1, 5, -1, -1}},
                    {{-1, -1, 1, -1, 2, -1}, {-1, -1, -1, -1, -1, -1}, {1, -1, -1, -1, -1, 5}, {-1, -1, -1, -1, -1, -1}, {2, -1, -1, -1, -1, 6}, {-1, -1, 5, -1, 6, -1}},
                    {{-1, 3, -1, 2, -1, -1}, {3, -1, -1, -1, -1, 7}, {-1, -1, -1, -1, -1, -1}, {2, -1, -1, -1, -1, 6}, {-1, -1, -1, -1, -1, -1}, {-1, 7, -1, 6, -1, -1}},
                    {{-1, -1, -1, -1, -1, -1}, {-1, -1, 4, -1, 7, -1}, {-1, 4, -1, 5, -1, -1}, {-1, -1, 5, -1, 6, -1}, {-1, 7, -1, 6, -1, -1}, {-1, -1, -1, -1, -1, -1}}};
 
const int FACE_FROM_EDGES[][12] = { {0, 0, -1, 3, 0, -1, -1, 3, -1, -1, -1, -1}, {0, 0, 1, -1, 0, 1, -1, -1, -1, -1, -1, -1},
                  {-1, 1, 1, 2, -1, 1, 2, -1, -1, -1, -1, -1}, {3, -1, 2, 2, -1, -1, 2, 3, -1, -1, -1, -1},
                  {0, 0, -1, -1, 0, -1, -1, -1, 4, 4, -1, -1}, {-1, 1, 1, -1, -1, 1, -1, -1, -1, 5, 5, -1},
                  {-1, -1, 2, 2, -1, -1, 2, -1, -1, -1, 6, 6}, {3, -1, -1, 3, -1, -1, -1, 3, 7, -1, -1, 7},
                  {-1, -1, -1, -1, 4, -1, -1, 7, 4, 4, -1, 7}, {-1, -1, -1, -1, 4, 5, -1, -1, 4, 4, 5, -1},
                  {-1, -1, -1, -1, -1, 5, 6, -1, -1, 5, 5, 6}, {-1, -1, -1, -1, -1, -1, 6, 7, 7, -1, 6, 6}};
 
 
 
int Refine(int* newIndsOut, int* newEdgeVrts, bool& newCenterOut,
       vector3* corners = NULL, bool* isSnapPoint = NULL);
 
 
 
bool IsRegularRefRule(const int edgeMarks);
 
}// end of namespace oct_rules
}// end of namespace ug
 
#endif