hexahedron_rules.h

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/*
 * Copyright (c) 2011-2015:  G-CSC, Goethe University Frankfurt
 * Author: Sebastian Reiter
 * 
 * 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__hexahedron_rules__
#define __H__UG__hexahedron_rules__
 
//  only required for dummy-parameter ug::vector3*
#include "common/math/ugmath_types.h"
 
namespace ug{
namespace hex_rules{
 
//  LOOKUP TABLES
 
const int NUM_VERTICES  = 8;
const int NUM_EDGES   = 12;
const int NUM_FACES   = 6;
const int NUM_TRIS    = 0;
const int NUM_QUADS   = 6;
const int MAX_NUM_INDS_OUT = 256;//todo: this is just an estimate!
const int MAX_NUM_CONVERT_TO_TETS_INDS_OUT = 30;
 
const int EDGE_VRT_INDS[][2] = {  {0, 1}, {1, 2}, {2, 3}, {3, 0},
                  {0, 4}, {1, 5}, {2, 6}, {3, 7},
                  {4, 5}, {5, 6}, {6, 7}, {7, 4}};
const int EDGE_VRT_INDS[][2] = {  {0, 1}, {1, 2}, {2, 3}, {3, 0}, {…};
 
const int FACE_VRT_INDS[][4] = {  {0, 1, 2, 3}, {0, 4, 5, 1},
                  {1, 5, 6, 2}, {2, 6, 7, 3},
                  {3, 7, 4, 0}, {4, 7, 6, 5}};
const int FACE_VRT_INDS[][4] = {  {0, 1, 2, 3}, {0, 4, 5, 1}, {…};
//                  {0, 3, 7, 4}, {4, 7, 6, 5}};
 
const int OPPOSED_FACE[NUM_FACES] = {5, 3, 4, 1, 2, 0};
 
 
const int OPPOSED_FACE_VRT_INDS[][4] =  {{4, 5, 6, 7},  {3, 7, 6, 2},
                     {0, 4, 7, 3},  {1, 5, 4, 0},
                     {2, 6, 5, 1},  {0, 3, 2, 1}};
const int OPPOSED_FACE_VRT_INDS[][4] =  {{4, 5, 6, 7},  {3, 7, 6, 2}, {…};
//                     {1, 2, 6, 5},  {0, 3, 2, 1}};
 
 
const int OPPOSED_OBJECT[][NUM_VERTICES] = {{0, 6}, {0, 7}, {0, 4}, {0, 5},
                              {0, 2}, {0, 3}, {0, 0}, {0, 1}};
const int OPPOSED_OBJECT[][NUM_VERTICES] = {{0, 6}, {0, 7}, {0, 4}, {0, 5}, {…};
 
 
//  NOTE: The lists below are all generated automatically
 
const int FACE_EDGE_INDS[6][4] =
          {{0, 1, 2, 3}, {4, 8, 5, 0}, {5, 9, 6, 1},
           {6, 10, 7, 2}, {7, 11, 4, 3}, {11, 10, 9, 8}};
const int FACE_EDGE_INDS[6][4] = {…};
//const int FACE_EDGE_INDS[6][4] =
//          {{0, 1, 2, 3}, {4, 8, 5, 0}, {5, 9, 6, 1},
//           {6, 10, 7, 2}, {3, 7, 11, 4}, {11, 10, 9, 8}};
 
const int FACE_CONTAINS_EDGE[][12] =  {{1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0},
                     {1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0},
                     {0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0},
                     {0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0},
                     {0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1},
                     {0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1}};
const int FACE_CONTAINS_EDGE[][12] =  {{1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {…};
 
 
const int EDGE_FROM_VRTS[8][8] =
        {{-1, 0, -1, 3, 4, -1, -1, -1}, {0, -1, 1, -1, -1, 5, -1, -1},
         {-1, 1, -1, 2, -1, -1, 6, -1}, {3, -1, 2, -1, -1, -1, -1, 7},
         {4, -1, -1, -1, -1, 8, -1, 11}, {-1, 5, -1, -1, 8, -1, 9, -1},
         {-1, -1, 6, -1, -1, 9, -1, 10}, {-1, -1, -1, 7, 11, -1, 10, -1}};
const int EDGE_FROM_VRTS[8][8] = {…};
 
 
const int FACE_FROM_VRTS[8][8][8] =
      {{{-1, -1, -1, -1, -1, -1, -1, -1}, {-1, -1, 0, 0, 1, 1, -1, -1},
        {-1, 0, -1, 0, -1, -1, -1, -1}, {-1, 0, 0, -1, 4, -1, -1, 4},
        {-1, 1, -1, 4, -1, 1, -1, 4}, {-1, 1, -1, -1, 1, -1, -1, -1},
        {-1, -1, -1, -1, -1, -1, -1, -1}, {-1, -1, -1, 4, 4, -1, -1, -1}},
       {{-1, -1, 0, 0, 1, 1, -1, -1}, {-1, -1, -1, -1, -1, -1, -1, -1},
        {0, -1, -1, 0, -1, 2, 2, -1}, {0, -1, 0, -1, -1, -1, -1, -1},
        {1, -1, -1, -1, -1, 1, -1, -1}, {1, -1, 2, -1, 1, -1, 2, -1},
        {-1, -1, 2, -1, -1, 2, -1, -1}, {-1, -1, -1, -1, -1, -1, -1, -1}},
       {{-1, 0, -1, 0, -1, -1, -1, -1}, {0, -1, -1, 0, -1, 2, 2, -1},
        {-1, -1, -1, -1, -1, -1, -1, -1}, {0, 0, -1, -1, -1, -1, 3, 3},
        {-1, -1, -1, -1, -1, -1, -1, -1}, {-1, 2, -1, -1, -1, -1, 2, -1},
        {-1, 2, -1, 3, -1, 2, -1, 3}, {-1, -1, -1, 3, -1, -1, 3, -1}},
       {{-1, 0, 0, -1, 4, -1, -1, 4}, {0, -1, 0, -1, -1, -1, -1, -1},
        {0, 0, -1, -1, -1, -1, 3, 3}, {-1, -1, -1, -1, -1, -1, -1, -1},
        {4, -1, -1, -1, -1, -1, -1, 4}, {-1, -1, -1, -1, -1, -1, -1, -1},
        {-1, -1, 3, -1, -1, -1, -1, 3}, {4, -1, 3, -1, 4, -1, 3, -1}},
       {{-1, 1, -1, 4, -1, 1, -1, 4}, {1, -1, -1, -1, -1, 1, -1, -1},
        {-1, -1, -1, -1, -1, -1, -1, -1}, {4, -1, -1, -1, -1, -1, -1, 4},
        {-1, -1, -1, -1, -1, -1, -1, -1}, {1, 1, -1, -1, -1, -1, 5, 5},
        {-1, -1, -1, -1, -1, 5, -1, 5}, {4, -1, -1, 4, -1, 5, 5, -1}},
       {{-1, 1, -1, -1, 1, -1, -1, -1}, {1, -1, 2, -1, 1, -1, 2, -1},
        {-1, 2, -1, -1, -1, -1, 2, -1}, {-1, -1, -1, -1, -1, -1, -1, -1},
        {1, 1, -1, -1, -1, -1, 5, 5}, {-1, -1, -1, -1, -1, -1, -1, -1},
        {-1, 2, 2, -1, 5, -1, -1, 5}, {-1, -1, -1, -1, 5, -1, 5, -1}},
       {{-1, -1, -1, -1, -1, -1, -1, -1}, {-1, -1, 2, -1, -1, 2, -1, -1},
        {-1, 2, -1, 3, -1, 2, -1, 3}, {-1, -1, 3, -1, -1, -1, -1, 3},
        {-1, -1, -1, -1, -1, 5, -1, 5}, {-1, 2, 2, -1, 5, -1, -1, 5},
        {-1, -1, -1, -1, -1, -1, -1, -1}, {-1, -1, 3, 3, 5, 5, -1, -1}},
       {{-1, -1, -1, 4, 4, -1, -1, -1}, {-1, -1, -1, -1, -1, -1, -1, -1},
        {-1, -1, -1, 3, -1, -1, 3, -1}, {4, -1, 3, -1, 4, -1, 3, -1},
        {4, -1, -1, 4, -1, 5, 5, -1}, {-1, -1, -1, -1, 5, -1, 5, -1},
        {-1, -1, 3, 3, 5, 5, -1, -1}, {-1, -1, -1, -1, -1, -1, -1, -1}}};
const int FACE_FROM_VRTS[8][8][8] = {…};
 
const int FACE_FROM_EDGES[][12] = {{0, 0, 0, 0, 1, 1, -1, -1, 1, -1, -1, -1},
                   {0, 0, 0, 0, -1, 2, 2, -1, -1, 2, -1, -1},
                   {0, 0, 0, 0, -1, -1, 3, 3, -1, -1, 3, -1},
                   {0, 0, 0, 0, 4, -1, -1, 4, -1, -1, -1, 4},
                   {1, -1, -1, 4, 1, 1, -1, 4, 1, -1, -1, 4},
                   {1, 2, -1, -1, 1, 1, 2, -1, 1, 2, -1, -1},
                   {-1, 2, 3, -1, -1, 2, 2, 3, -1, 2, 3, -1},
                   {-1, -1, 3, 4, 4, -1, 3, 3, -1, -1, 3, 4},
                   {1, -1, -1, -1, 1, 1, -1, -1, 1, 5, 5, 5},
                   {-1, 2, -1, -1, -1, 2, 2, -1, 5, 2, 5, 5},
                   {-1, -1, 3, -1, -1, -1, 3, 3, 5, 5, 3, 5},
                   {-1, -1, -1, 4, 4, -1, -1, 4, 5, 5, 5, 4}};
const int FACE_FROM_EDGES[][12] = {{0, 0, 0, 0, 1, 1, -1, -1, 1, -1, -1, -1}, {…};
 
 
 
int Refine(int* newIndsOut, int* newEdgeVrts, bool& newCenterOut,
       vector3* corners = NULL, bool* isSnapPoint = NULL);
 
 
 
bool IsRegularRefRule(const int edgeMarks);
 
}// end of namespace
}// end of namespace
 
#endif