grid_statistics.h

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/*
 * Copyright (c) 2009-2015:  G-CSC, Goethe University Frankfurt
 * Authors: Martin Stepniewski, 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__GRID_STATISTICS__
#define __H__UG__GRID_STATISTICS__
 
#include <algorithm>
#include <limits>
#include <vector>
#include "lib_grid/lg_base.h"
 
#ifdef UG_PARALLEL
  #include "lib_grid/parallelization/distributed_grid.h"
  #include "pcl/pcl_process_communicator.h"
#endif
 
namespace ug
{
  
//**********************************************************************
//                declarations
//**********************************************************************
 
//  AssignTetrahedronAttributesByAspectRatio - mstepnie
bool AssignTetrahedronAttributesByAspectRatio(Grid& grid,
                        SubsetHandler& shVolume,
                        AInt& aTetrahedronAspectRatioClass,
                        std::vector<double>& offsets,
                        Grid::VertexAttachmentAccessor<APosition>& aaPos);
 
 
template <class TIterator>
bool AssignSubsetsByQuality(Grid& grid, SubsetHandler& sh,
               TIterator elemsBegin, TIterator elemsEnd,
               std::vector<number> intervals)
{
  if(intervals.empty()){
    sh.assign_subset(elemsBegin, elemsEnd, 0);
    return true;
  }
 
//  access position
  Grid::VertexAttachmentAccessor<APosition> aaPos(grid, aPosition);
  
//  iterate over all elements
  for(TIterator iter = elemsBegin; iter != elemsEnd; ++iter)
  {
    typename TIterator::value_type elem = *iter;
    number quality = FaceQuality(elem, aaPos);
 
    size_t newInd = -1;
    for(size_t i = 0; i < intervals.size(); ++i){
      if(intervals[i] < quality)
        newInd = i;
      else
        break;
    }
 
    sh.assign_subset(elem, newInd);
  }
  return true;
}
bool AssignSubsetsByQuality(Grid& grid, SubsetHandler& sh, {…}
 
 
template <class TIterator, class TAAPos>
void PrintElementEdgeRatios(Grid& grid, TIterator elemsBegin, TIterator elemsEnd,
              TAAPos aaPos)
{
  using namespace std;
  typedef typename PtrToValueType<typename TIterator::value_type>::base_type  elem_t;
  UG_COND_THROW(elem_t::BASE_OBJECT_ID == VERTEX || elem_t::BASE_OBJECT_ID == EDGE,
          "Can't evaluate anisotropy statistics for vertices or edges.");
 
  Grid::edge_traits::secure_container edges;
 
  number minRatio = 1;
  number maxRatio = 0;
  number avRatio = 0;
  vector<number>  ratios;
  for(TIterator i_elem = elemsBegin; i_elem != elemsEnd; ++i_elem){
    elem_t* elem = *i_elem;
    
    #ifdef UG_PARALLEL
      if(grid.distributed_grid_manager()->is_ghost(elem))
        continue;
    #endif
 
    grid.associated_elements(edges, elem);
    number shortest = numeric_limits<double>::max();
    number longest = 0;
    for_each_in_vec(Edge* e, edges){
      number l = EdgeLength(e, aaPos);
      shortest = min(shortest, l);
      longest = max(longest, l);
    }end_for;
 
    number ratio = 0;
    if(longest > 0)
      ratio = shortest / longest;
 
    minRatio = min(minRatio, ratio);
    maxRatio = max(maxRatio, ratio);
    avRatio += ratio;
    ratios.push_back(ratio);
  }
 
  int num = (int)ratios.size();
  #ifdef UG_PARALLEL
    pcl::ProcessCommunicator com;
    minRatio = com.allreduce(minRatio, PCL_RO_MIN);
    maxRatio = com.allreduce(maxRatio, PCL_RO_MAX);
    num = com.allreduce(num, PCL_RO_SUM);
    avRatio = com.allreduce(avRatio, PCL_RO_SUM);
  #endif
  
  if(num == 0){
    UG_LOG("---\n");
  }
  else{
    avRatio /= (number)num;
    UG_LOG("min: " << minRatio << ",  max: " << maxRatio << ",  av: " << avRatio);
    
    if(num > 1){
      number sdSum = 0;
      for(size_t i = 0; i < ratios.size(); ++i)
        sdSum += sq(avRatio - ratios[i]);
 
      #ifdef UG_PARALLEL
        sdSum = com.allreduce(sdSum, PCL_RO_SUM);
      #endif
 
      number sd = sqrt(sdSum / ((number)num - 1));
      UG_LOG(",  sd: " << sd);
    }
    UG_LOG(endl);
  }
}
void PrintElementEdgeRatios(Grid& grid, TIterator elemsBegin, TIterator elemsEnd, {…}
 
}// end of namespace
 
#endif