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  • src/tesselation.cpp

    rb1a6d8 r244a84  
    77
    88#include <fstream>
    9 #include <assert.h>
    109
    1110#include "helpers.hpp"
     
    1514#include "tesselation.hpp"
    1615#include "tesselationhelpers.hpp"
    17 #include "triangleintersectionlist.hpp"
    1816#include "vector.hpp"
    1917#include "verbose.hpp"
     
    2624 */
    2725BoundaryPointSet::BoundaryPointSet() :
    28   LinesCount(0), value(0.), Nr(-1)
    29 {
    30   Info FunctionInfo(__func__);
    31   DoLog(1) && (Log() << Verbose(1) << "Adding noname." << endl);
    32 }
    33 ;
     26    LinesCount(0),
     27    value(0.),
     28    Nr(-1)
     29{
     30        Info FunctionInfo(__func__);
     31        Log() << Verbose(1) << "Adding noname." << endl;
     32};
    3433
    3534/** Constructor of BoundaryPointSet with Tesselpoint.
     
    3736 */
    3837BoundaryPointSet::BoundaryPointSet(TesselPoint * const Walker) :
    39   LinesCount(0), node(Walker), value(0.), Nr(Walker->nr)
    40 {
    41   Info FunctionInfo(__func__);
    42   DoLog(1) && (Log() << Verbose(1) << "Adding Node " << *Walker << endl);
    43 }
    44 ;
     38  LinesCount(0),
     39  node(Walker),
     40  value(0.),
     41  Nr(Walker->nr)
     42{
     43        Info FunctionInfo(__func__);
     44  Log() << Verbose(1) << "Adding Node " << *Walker << endl;
     45};
    4546
    4647/** Destructor of BoundaryPointSet.
     
    5051BoundaryPointSet::~BoundaryPointSet()
    5152{
    52   Info FunctionInfo(__func__);
     53        Info FunctionInfo(__func__);
    5354  //Log() << Verbose(0) << "Erasing point nr. " << Nr << "." << endl;
    5455  if (!lines.empty())
    55     DoeLog(2) && (eLog() << Verbose(2) << "Memory Leak! I " << *this << " am still connected to some lines." << endl);
     56    eLog() << Verbose(2) << "Memory Leak! I " << *this << " am still connected to some lines." << endl;
    5657  node = NULL;
    57 }
    58 ;
     58};
    5959
    6060/** Add a line to the LineMap of this point.
     
    6363void BoundaryPointSet::AddLine(BoundaryLineSet * const line)
    6464{
    65   Info FunctionInfo(__func__);
    66   DoLog(1) && (Log() << Verbose(1) << "Adding " << *this << " to line " << *line << "." << endl);
    67   if (line->endpoints[0] == this) {
    68     lines.insert(LinePair(line->endpoints[1]->Nr, line));
    69   } else {
    70     lines.insert(LinePair(line->endpoints[0]->Nr, line));
    71   }
     65        Info FunctionInfo(__func__);
     66  Log() << Verbose(1) << "Adding " << *this << " to line " << *line << "."
     67      << endl;
     68  if (line->endpoints[0] == this)
     69    {
     70      lines.insert(LinePair(line->endpoints[1]->Nr, line));
     71    }
     72  else
     73    {
     74      lines.insert(LinePair(line->endpoints[0]->Nr, line));
     75    }
    7276  LinesCount++;
    73 }
    74 ;
     77};
    7578
    7679/** output operator for BoundaryPointSet.
     
    9093 */
    9194BoundaryLineSet::BoundaryLineSet() :
    92   Nr(-1)
    93 {
    94   Info FunctionInfo(__func__);
     95    Nr(-1)
     96{
     97        Info FunctionInfo(__func__);
    9598  for (int i = 0; i < 2; i++)
    9699    endpoints[i] = NULL;
    97 }
    98 ;
     100};
    99101
    100102/** Constructor of BoundaryLineSet with two endpoints.
     
    105107BoundaryLineSet::BoundaryLineSet(BoundaryPointSet * const Point[2], const int number)
    106108{
    107   Info FunctionInfo(__func__);
     109        Info FunctionInfo(__func__);
    108110  // set number
    109111  Nr = number;
     
    116118  skipped = false;
    117119  // clear triangles list
    118   DoLog(0) && (Log() << Verbose(0) << "New Line with endpoints " << *this << "." << endl);
    119 }
    120 ;
     120  Log() << Verbose(0) << "New Line with endpoints " << *this << "." << endl;
     121};
    121122
    122123/** Constructor of BoundaryLineSet with two endpoints.
     
    139140  skipped = false;
    140141  // clear triangles list
    141   DoLog(0) && (Log() << Verbose(0) << "New Line with endpoints " << *this << "." << endl);
    142 }
    143 ;
     142  Log() << Verbose(0) << "New Line with endpoints " << *this << "." << endl;
     143};
    144144
    145145/** Destructor for BoundaryLineSet.
     
    149149BoundaryLineSet::~BoundaryLineSet()
    150150{
    151   Info FunctionInfo(__func__);
     151        Info FunctionInfo(__func__);
    152152  int Numbers[2];
    153153
     
    180180        //Log() << Verbose(0) << *endpoints[i] << " has no more lines it's attached to, erasing." << endl;
    181181        if (endpoints[i] != NULL) {
    182           delete (endpoints[i]);
     182          delete(endpoints[i]);
    183183          endpoints[i] = NULL;
    184184        }
     
    187187  }
    188188  if (!triangles.empty())
    189     DoeLog(2) && (eLog() << Verbose(2) << "Memory Leak! I " << *this << " am still connected to some triangles." << endl);
    190 }
    191 ;
     189    eLog() << Verbose(2) << "Memory Leak! I " << *this << " am still connected to some triangles." << endl;
     190};
    192191
    193192/** Add triangle to TriangleMap of this boundary line.
     
    196195void BoundaryLineSet::AddTriangle(BoundaryTriangleSet * const triangle)
    197196{
    198   Info FunctionInfo(__func__);
    199   DoLog(0) && (Log() << Verbose(0) << "Add " << triangle->Nr << " to line " << *this << "." << endl);
     197        Info FunctionInfo(__func__);
     198  Log() << Verbose(0) << "Add " << triangle->Nr << " to line " << *this << "." << endl;
    200199  triangles.insert(TrianglePair(triangle->Nr, triangle));
    201 }
    202 ;
     200};
    203201
    204202/** Checks whether we have a common endpoint with given \a *line.
     
    208206bool BoundaryLineSet::IsConnectedTo(const BoundaryLineSet * const line) const
    209207{
    210   Info FunctionInfo(__func__);
     208        Info FunctionInfo(__func__);
    211209  if ((endpoints[0] == line->endpoints[0]) || (endpoints[1] == line->endpoints[0]) || (endpoints[0] == line->endpoints[1]) || (endpoints[1] == line->endpoints[1]))
    212210    return true;
    213211  else
    214212    return false;
    215 }
    216 ;
     213};
    217214
    218215/** Checks whether the adjacent triangles of a baseline are convex or not.
     
    224221bool BoundaryLineSet::CheckConvexityCriterion() const
    225222{
    226   Info FunctionInfo(__func__);
     223        Info FunctionInfo(__func__);
    227224  Vector BaseLineCenter, BaseLineNormal, BaseLine, helper[2], NormalCheck;
    228225  // get the two triangles
    229226  if (triangles.size() != 2) {
    230     DoeLog(0) && (eLog() << Verbose(0) << "Baseline " << *this << " is connected to less than two triangles, Tesselation incomplete!" << endl);
     227    eLog() << Verbose(0) << "Baseline " << *this << " is connected to less than two triangles, Tesselation incomplete!" << endl;
    231228    return true;
    232229  }
     
    236233  BaseLineCenter.CopyVector(endpoints[0]->node->node);
    237234  BaseLineCenter.AddVector(endpoints[1]->node->node);
    238   BaseLineCenter.Scale(1. / 2.);
     235  BaseLineCenter.Scale(1./2.);
    239236  BaseLine.CopyVector(endpoints[0]->node->node);
    240237  BaseLine.SubtractVector(endpoints[1]->node->node);
     
    244241  NormalCheck.Zero();
    245242  double sign = -1.;
    246   int i = 0;
     243  int i=0;
    247244  class BoundaryPointSet *node = NULL;
    248   for (TriangleMap::const_iterator runner = triangles.begin(); runner != triangles.end(); runner++) {
     245  for(TriangleMap::const_iterator runner = triangles.begin(); runner != triangles.end(); runner++) {
    249246    //Log() << Verbose(0) << "INFO: NormalVector of " << *(runner->second) << " is " << runner->second->NormalVector << "." << endl;
    250247    NormalCheck.AddVector(&runner->second->NormalVector);
     
    252249    sign = -sign;
    253250    if (runner->second->NormalVector.NormSquared() > MYEPSILON)
    254       BaseLineNormal.CopyVector(&runner->second->NormalVector); // yes, copy second on top of first
     251      BaseLineNormal.CopyVector(&runner->second->NormalVector);   // yes, copy second on top of first
    255252    else {
    256       DoeLog(0) && (eLog() << Verbose(0) << "Triangle " << *runner->second << " has zero normal vector!" << endl);
     253      eLog() << Verbose(0) << "Triangle " << *runner->second << " has zero normal vector!" << endl;
    257254    }
    258255    node = runner->second->GetThirdEndpoint(this);
     
    261258      helper[i].CopyVector(node->node->node);
    262259      helper[i].SubtractVector(&BaseLineCenter);
    263       helper[i].MakeNormalVector(&BaseLine); // we want to compare the triangle's heights' angles!
     260      helper[i].MakeNormalVector(&BaseLine);  // we want to compare the triangle's heights' angles!
    264261      //Log() << Verbose(0) << "INFO: Height vector with respect to baseline is " << helper[i] << "." << endl;
    265262      i++;
    266263    } else {
    267       DoeLog(1) && (eLog() << Verbose(1) << "I cannot find third node in triangle, something's wrong." << endl);
     264      eLog() << Verbose(1) << "I cannot find third node in triangle, something's wrong." << endl;
    268265      return true;
    269266    }
     
    271268  //Log() << Verbose(0) << "INFO: BaselineNormal is " << BaseLineNormal << "." << endl;
    272269  if (NormalCheck.NormSquared() < MYEPSILON) {
    273     DoLog(0) && (Log() << Verbose(0) << "ACCEPT: Normalvectors of both triangles are the same: convex." << endl);
     270    Log() << Verbose(0) << "ACCEPT: Normalvectors of both triangles are the same: convex." << endl;
    274271    return true;
    275272  }
     
    277274  double angle = GetAngle(helper[0], helper[1], BaseLineNormal);
    278275  if ((angle - M_PI) > -MYEPSILON) {
    279     DoLog(0) && (Log() << Verbose(0) << "ACCEPT: Angle is greater than pi: convex." << endl);
     276    Log() << Verbose(0) << "ACCEPT: Angle is greater than pi: convex." << endl;
    280277    return true;
    281278  } else {
    282     DoLog(0) && (Log() << Verbose(0) << "REJECT: Angle is less than pi: concave." << endl);
     279    Log() << Verbose(0) << "REJECT: Angle is less than pi: concave." << endl;
    283280    return false;
    284281  }
     
    291288bool BoundaryLineSet::ContainsBoundaryPoint(const BoundaryPointSet * const point) const
    292289{
    293   Info FunctionInfo(__func__);
    294   for (int i = 0; i < 2; i++)
     290        Info FunctionInfo(__func__);
     291  for(int i=0;i<2;i++)
    295292    if (point == endpoints[i])
    296293      return true;
    297294  return false;
    298 }
    299 ;
     295};
    300296
    301297/** Returns other endpoint of the line.
     
    305301class BoundaryPointSet *BoundaryLineSet::GetOtherEndpoint(const BoundaryPointSet * const point) const
    306302{
    307   Info FunctionInfo(__func__);
     303        Info FunctionInfo(__func__);
    308304  if (endpoints[0] == point)
    309305    return endpoints[1];
     
    312308  else
    313309    return NULL;
    314 }
    315 ;
     310};
    316311
    317312/** output operator for BoundaryLineSet.
     
    319314 * \param &a boundary line
    320315 */
    321 ostream & operator <<(ostream &ost, const BoundaryLineSet &a)
     316ostream & operator <<(ostream &ost, const  BoundaryLineSet &a)
    322317{
    323318  ost << "[" << a.Nr << "|" << a.endpoints[0]->node->Name << " at " << *a.endpoints[0]->node->node << "," << a.endpoints[1]->node->Name << " at " << *a.endpoints[1]->node->node << "]";
    324319  return ost;
    325 }
    326 ;
     320};
    327321
    328322// ======================================== Triangles on Boundary =================================
     
    333327  Nr(-1)
    334328{
    335   Info FunctionInfo(__func__);
    336   for (int i = 0; i < 3; i++) {
    337     endpoints[i] = NULL;
    338     lines[i] = NULL;
    339   }
    340 }
    341 ;
     329        Info FunctionInfo(__func__);
     330  for (int i = 0; i < 3; i++)
     331    {
     332      endpoints[i] = NULL;
     333      lines[i] = NULL;
     334    }
     335};
    342336
    343337/** Constructor for BoundaryTriangleSet with three lines.
     
    348342  Nr(number)
    349343{
    350   Info FunctionInfo(__func__);
     344        Info FunctionInfo(__func__);
    351345  // set number
    352346  // set lines
     
    360354    // for all three lines
    361355    for (int j = 0; j < 2; j++) { // for both endpoints
    362       OrderMap.insert(pair<int, class BoundaryPointSet *> (line[i]->endpoints[j]->Nr, line[i]->endpoints[j]));
     356      OrderMap.insert(pair<int, class BoundaryPointSet *> (
     357          line[i]->endpoints[j]->Nr, line[i]->endpoints[j]));
    363358      // and we don't care whether insertion fails
    364359    }
    365360  // set endpoints
    366361  int Counter = 0;
    367   DoLog(0) && (Log() << Verbose(0) << "New triangle " << Nr << " with end points: " << endl);
     362  Log() << Verbose(0) << "New triangle " << Nr << " with end points: " << endl;
    368363  for (PointMap::iterator runner = OrderMap.begin(); runner != OrderMap.end(); runner++) {
    369364    endpoints[Counter] = runner->second;
    370     DoLog(0) && (Log() << Verbose(0) << " " << *endpoints[Counter] << endl);
     365    Log() << Verbose(0) << " " << *endpoints[Counter] << endl;
    371366    Counter++;
    372367  }
    373368  if (Counter < 3) {
    374     DoeLog(0) && (eLog() << Verbose(0) << "We have a triangle with only two distinct endpoints!" << endl);
     369    eLog() << Verbose(0) << "We have a triangle with only two distinct endpoints!" << endl;
    375370    performCriticalExit();
    376371  }
    377 }
    378 ;
     372};
    379373
    380374/** Destructor of BoundaryTriangleSet.
     
    384378BoundaryTriangleSet::~BoundaryTriangleSet()
    385379{
    386   Info FunctionInfo(__func__);
     380        Info FunctionInfo(__func__);
    387381  for (int i = 0; i < 3; i++) {
    388382    if (lines[i] != NULL) {
     
    391385      }
    392386      if (lines[i]->triangles.empty()) {
    393         //Log() << Verbose(0) << *lines[i] << " is no more attached to any triangle, erasing." << endl;
    394         delete (lines[i]);
    395         lines[i] = NULL;
     387          //Log() << Verbose(0) << *lines[i] << " is no more attached to any triangle, erasing." << endl;
     388          delete (lines[i]);
     389          lines[i] = NULL;
    396390      }
    397391    }
    398392  }
    399393  //Log() << Verbose(0) << "Erasing triangle Nr." << Nr << " itself." << endl;
    400 }
    401 ;
     394};
    402395
    403396/** Calculates the normal vector for this triangle.
     
    407400void BoundaryTriangleSet::GetNormalVector(const Vector &OtherVector)
    408401{
    409   Info FunctionInfo(__func__);
     402        Info FunctionInfo(__func__);
    410403  // get normal vector
    411404  NormalVector.MakeNormalVector(endpoints[0]->node->node, endpoints[1]->node->node, endpoints[2]->node->node);
     
    414407  if (NormalVector.ScalarProduct(&OtherVector) > 0.)
    415408    NormalVector.Scale(-1.);
    416   DoLog(1) && (Log() << Verbose(1) << "Normal Vector is " << NormalVector << "." << endl);
    417 }
    418 ;
     409  Log() << Verbose(1) << "Normal Vector is " << NormalVector << "." << endl;
     410};
    419411
    420412/** Finds the point on the triangle \a *BTS through which the line defined by \a *MolCenter and \a *x crosses.
     
    437429
    438430  if (!Intersection->GetIntersectionWithPlane(&NormalVector, endpoints[0]->node->node, MolCenter, x)) {
    439     DoeLog(1) && (eLog() << Verbose(1) << "Alas! Intersection with plane failed - at least numerically - the intersection is not on the plane!" << endl);
     431    eLog() << Verbose(1) << "Alas! Intersection with plane failed - at least numerically - the intersection is not on the plane!" << endl;
    440432    return false;
    441433  }
    442434
    443   DoLog(1) && (Log() << Verbose(1) << "INFO: Triangle is " << *this << "." << endl);
    444   DoLog(1) && (Log() << Verbose(1) << "INFO: Line is from " << *MolCenter << " to " << *x << "." << endl);
    445   DoLog(1) && (Log() << Verbose(1) << "INFO: Intersection is " << *Intersection << "." << endl);
     435  Log() << Verbose(1) << "INFO: Triangle is " << *this << "." << endl;
     436  Log() << Verbose(1) << "INFO: Line is from " << *MolCenter << " to " << *x << "." << endl;
     437  Log() << Verbose(1) << "INFO: Intersection is " << *Intersection << "." << endl;
    446438
    447439  if (Intersection->DistanceSquared(endpoints[0]->node->node) < MYEPSILON) {
    448     DoLog(1) && (Log() << Verbose(1) << "Intersection coindices with first endpoint." << endl);
     440    Log() << Verbose(1) << "Intersection coindices with first endpoint." << endl;
    449441    return true;
    450   } else if (Intersection->DistanceSquared(endpoints[1]->node->node) < MYEPSILON) {
    451     DoLog(1) && (Log() << Verbose(1) << "Intersection coindices with second endpoint." << endl);
     442  }   else if (Intersection->DistanceSquared(endpoints[1]->node->node) < MYEPSILON) {
     443    Log() << Verbose(1) << "Intersection coindices with second endpoint." << endl;
    452444    return true;
    453   } else if (Intersection->DistanceSquared(endpoints[2]->node->node) < MYEPSILON) {
    454     DoLog(1) && (Log() << Verbose(1) << "Intersection coindices with third endpoint." << endl);
     445  }   else if (Intersection->DistanceSquared(endpoints[2]->node->node) < MYEPSILON) {
     446    Log() << Verbose(1) << "Intersection coindices with third endpoint." << endl;
    455447    return true;
    456448  }
    457449  // Calculate cross point between one baseline and the line from the third endpoint to intersection
    458   int i = 0;
     450  int i=0;
    459451  do {
    460     if (CrossPoint.GetIntersectionOfTwoLinesOnPlane(endpoints[i % 3]->node->node, endpoints[(i + 1) % 3]->node->node, endpoints[(i + 2) % 3]->node->node, Intersection, &NormalVector)) {
    461       helper.CopyVector(endpoints[(i + 1) % 3]->node->node);
    462       helper.SubtractVector(endpoints[i % 3]->node->node);
    463       CrossPoint.SubtractVector(endpoints[i % 3]->node->node); // cross point was returned as absolute vector
    464       const double s = CrossPoint.ScalarProduct(&helper) / helper.NormSquared();
    465       DoLog(1) && (Log() << Verbose(1) << "INFO: Factor s is " << s << "." << endl);
    466       if ((s < -MYEPSILON) || ((s - 1.) > MYEPSILON)) {
    467         DoLog(1) && (Log() << Verbose(1) << "INFO: Crosspoint " << CrossPoint << "outside of triangle." << endl);
    468         i = 4;
     452    if (CrossPoint.GetIntersectionOfTwoLinesOnPlane(endpoints[i%3]->node->node, endpoints[(i+1)%3]->node->node, endpoints[(i+2)%3]->node->node, Intersection, &NormalVector)) {
     453      helper.CopyVector(endpoints[(i+1)%3]->node->node);
     454      helper.SubtractVector(endpoints[i%3]->node->node);
     455      CrossPoint.SubtractVector(endpoints[i%3]->node->node); // cross point was returned as absolute vector
     456      const double s = CrossPoint.ScalarProduct(&helper)/helper.NormSquared();
     457      Log() << Verbose(1) << "INFO: Factor s is " << s << "." << endl;
     458      if ((s < -MYEPSILON) || ((s-1.) > MYEPSILON)) {
     459        Log() << Verbose(1) << "INFO: Crosspoint " << CrossPoint << "outside of triangle." << endl;
     460        i=4;
    469461        break;
    470462      }
    471463      i++;
    472     } else
     464    } else 
    473465      break;
    474   } while (i < 3);
    475   if (i == 3) {
    476     DoLog(1) && (Log() << Verbose(1) << "INFO: Crosspoint " << CrossPoint << " inside of triangle." << endl);
     466  } while (i<3);
     467  if (i==3) {
     468    Log() << Verbose(1) << "INFO: Crosspoint " << CrossPoint << " inside of triangle." << endl;
    477469    return true;
    478470  } else {
    479     DoLog(1) && (Log() << Verbose(1) << "INFO: Crosspoint " << CrossPoint << " outside of triangle." << endl);
     471    Log() << Verbose(1) << "INFO: Crosspoint " << CrossPoint << " outside of triangle." << endl;
    480472    return false;
    481473  }
    482 }
    483 ;
    484 
    485 /** Finds the point on the triangle to the point \a *x.
    486  * We call Vector::GetIntersectionWithPlane() with \a * and the center of the triangle to receive an intersection point.
    487  * Then we check the in-plane part (the part projected down onto plane). We check whether it crosses one of the
    488  * boundary lines. If it does, we return this intersection as closest point, otherwise the projected point down.
     474};
     475
     476/** Finds the point on the triangle \a *BTS through which the line defined by \a *MolCenter and \a *x crosses.
     477 * We call Vector::GetIntersectionWithPlane() to receive the intersection point with the plane
    489478 * Thus we test if it's really on the plane and whether it's inside the triangle on the plane or not.
    490479 * The latter is done as follows: We calculate the cross point of one of the triangle's baseline with the line
     
    501490
    502491  // 1. get intersection with plane
    503   DoLog(1) && (Log() << Verbose(1) << "INFO: Looking for closest point of triangle " << *this << " to " << *x << "." << endl);
     492  Log() << Verbose(1) << "INFO: Looking for closest point of triangle " << *this << " to " << *x << "." << endl;
    504493  GetCenter(&Direction);
    505494  if (!ClosestPoint->GetIntersectionWithPlane(&NormalVector, endpoints[0]->node->node, x, &Direction)) {
     
    510499  Vector InPlane;
    511500  InPlane.CopyVector(x);
    512   InPlane.SubtractVector(ClosestPoint); // points from plane intersection to straight-down point
     501  InPlane.SubtractVector(ClosestPoint);  // points from plane intersection to straight-down point
    513502  InPlane.ProjectOntoPlane(&NormalVector);
    514503  InPlane.AddVector(ClosestPoint);
    515504
    516   DoLog(2) && (Log() << Verbose(2) << "INFO: Triangle is " << *this << "." << endl);
    517   DoLog(2) && (Log() << Verbose(2) << "INFO: Line is from " << Direction << " to " << *x << "." << endl);
    518   DoLog(2) && (Log() << Verbose(2) << "INFO: In-plane part is " << InPlane << "." << endl);
     505  Log() << Verbose(2) << "INFO: Triangle is " << *this << "." << endl;
     506  Log() << Verbose(2) << "INFO: Line is from " << Direction << " to " << *x << "." << endl;
     507  Log() << Verbose(2) << "INFO: In-plane part is " << InPlane << "." << endl;
    519508
    520509  // Calculate cross point between one baseline and the desired point such that distance is shortest
     
    524513  Vector CrossPoint[3];
    525514  Vector helper;
    526   for (int i = 0; i < 3; i++) {
     515  for (int i=0;i<3;i++) {
    527516    // treat direction of line as normal of a (cut)plane and the desired point x as the plane offset, the intersect line with point
    528     Direction.CopyVector(endpoints[(i + 1) % 3]->node->node);
    529     Direction.SubtractVector(endpoints[i % 3]->node->node);
     517    Direction.CopyVector(endpoints[(i+1)%3]->node->node);
     518    Direction.SubtractVector(endpoints[i%3]->node->node);
    530519    // calculate intersection, line can never be parallel to Direction (is the same vector as PlaneNormal);
    531     CrossPoint[i].GetIntersectionWithPlane(&Direction, &InPlane, endpoints[i % 3]->node->node, endpoints[(i + 1) % 3]->node->node);
     520    CrossPoint[i].GetIntersectionWithPlane(&Direction, &InPlane, endpoints[i%3]->node->node, endpoints[(i+1)%3]->node->node);
    532521    CrossDirection[i].CopyVector(&CrossPoint[i]);
    533522    CrossDirection[i].SubtractVector(&InPlane);
    534     CrossPoint[i].SubtractVector(endpoints[i % 3]->node->node); // cross point was returned as absolute vector
    535     const double s = CrossPoint[i].ScalarProduct(&Direction) / Direction.NormSquared();
    536     DoLog(2) && (Log() << Verbose(2) << "INFO: Factor s is " << s << "." << endl);
    537     if ((s >= -MYEPSILON) && ((s - 1.) <= MYEPSILON)) {
    538       CrossPoint[i].AddVector(endpoints[i % 3]->node->node); // make cross point absolute again
    539       DoLog(2) && (Log() << Verbose(2) << "INFO: Crosspoint is " << CrossPoint[i] << ", intersecting BoundaryLine between " << *endpoints[i % 3]->node->node << " and " << *endpoints[(i + 1) % 3]->node->node << "." << endl);
     523    CrossPoint[i].SubtractVector(endpoints[i%3]->node->node); // cross point was returned as absolute vector
     524    const double s = CrossPoint[i].ScalarProduct(&Direction)/Direction.NormSquared();
     525    Log() << Verbose(2) << "INFO: Factor s is " << s << "." << endl;
     526    if ((s >= -MYEPSILON) && ((s-1.) <= MYEPSILON)) {
     527      CrossPoint[i].AddVector(endpoints[i%3]->node->node); // make cross point absolute again
     528      Log() << Verbose(2) << "INFO: Crosspoint is " << CrossPoint[i] << ", intersecting BoundaryLine between " << *endpoints[i%3]->node->node << " and " << *endpoints[(i+1)%3]->node->node << "." << endl;
    540529      const double distance = CrossPoint[i].DistanceSquared(x);
    541530      if ((ShortestDistance < 0.) || (ShortestDistance > distance)) {
     
    547536  }
    548537  InsideFlag = true;
    549   for (int i = 0; i < 3; i++) {
    550     const double sign = CrossDirection[i].ScalarProduct(&CrossDirection[(i + 1) % 3]);
    551     const double othersign = CrossDirection[i].ScalarProduct(&CrossDirection[(i + 2) % 3]);
    552     ;
    553     if ((sign > -MYEPSILON) && (othersign > -MYEPSILON)) // have different sign
     538  for (int i=0;i<3;i++) {
     539    const double sign = CrossDirection[i].ScalarProduct(&CrossDirection[(i+1)%3]);
     540    const double othersign = CrossDirection[i].ScalarProduct(&CrossDirection[(i+2)%3]);;
     541    if ((sign > -MYEPSILON) && (othersign > -MYEPSILON))  // have different sign
    554542      InsideFlag = false;
    555543  }
     
    557545    ClosestPoint->CopyVector(&InPlane);
    558546    ShortestDistance = InPlane.DistanceSquared(x);
    559   } else { // also check endnodes
    560     for (int i = 0; i < 3; i++) {
     547  } else {  // also check endnodes
     548    for (int i=0;i<3;i++) {
    561549      const double distance = x->DistanceSquared(endpoints[i]->node->node);
    562550      if ((ShortestDistance < 0.) || (ShortestDistance > distance)) {
     
    566554    }
    567555  }
    568   DoLog(1) && (Log() << Verbose(1) << "INFO: Closest Point is " << *ClosestPoint << " with shortest squared distance is " << ShortestDistance << "." << endl);
     556  Log() << Verbose(1) << "INFO: Closest Point is " << *ClosestPoint << " with shortest squared distance is " << ShortestDistance << "." << endl;
    569557  return ShortestDistance;
    570 }
    571 ;
     558};
    572559
    573560/** Checks whether lines is any of the three boundary lines this triangle contains.
     
    577564bool BoundaryTriangleSet::ContainsBoundaryLine(const BoundaryLineSet * const line) const
    578565{
    579   Info FunctionInfo(__func__);
    580   for (int i = 0; i < 3; i++)
     566        Info FunctionInfo(__func__);
     567  for(int i=0;i<3;i++)
    581568    if (line == lines[i])
    582569      return true;
    583570  return false;
    584 }
    585 ;
     571};
    586572
    587573/** Checks whether point is any of the three endpoints this triangle contains.
     
    591577bool BoundaryTriangleSet::ContainsBoundaryPoint(const BoundaryPointSet * const point) const
    592578{
    593   Info FunctionInfo(__func__);
    594   for (int i = 0; i < 3; i++)
     579        Info FunctionInfo(__func__);
     580  for(int i=0;i<3;i++)
    595581    if (point == endpoints[i])
    596582      return true;
    597583  return false;
    598 }
    599 ;
     584};
    600585
    601586/** Checks whether point is any of the three endpoints this triangle contains.
     
    605590bool BoundaryTriangleSet::ContainsBoundaryPoint(const TesselPoint * const point) const
    606591{
    607   Info FunctionInfo(__func__);
    608   for (int i = 0; i < 3; i++)
     592        Info FunctionInfo(__func__);
     593  for(int i=0;i<3;i++)
    609594    if (point == endpoints[i]->node)
    610595      return true;
    611596  return false;
    612 }
    613 ;
     597};
    614598
    615599/** Checks whether three given \a *Points coincide with triangle's endpoints.
     
    619603bool BoundaryTriangleSet::IsPresentTupel(const BoundaryPointSet * const Points[3]) const
    620604{
    621   Info FunctionInfo(__func__);
    622   DoLog(1) && (Log() << Verbose(1) << "INFO: Checking " << Points[0] << "," << Points[1] << "," << Points[2] << " against " << endpoints[0] << "," << endpoints[1] << "," << endpoints[2] << "." << endl);
    623   return (((endpoints[0] == Points[0]) || (endpoints[0] == Points[1]) || (endpoints[0] == Points[2])) && ((endpoints[1] == Points[0]) || (endpoints[1] == Points[1]) || (endpoints[1] == Points[2])) && ((endpoints[2] == Points[0]) || (endpoints[2] == Points[1]) || (endpoints[2] == Points[2])
    624 
    625   ));
    626 }
    627 ;
     605        Info FunctionInfo(__func__);
     606        Log() << Verbose(1) << "INFO: Checking " << Points[0] << ","  << Points[1] << "," << Points[2] << " against " << endpoints[0] << "," << endpoints[1] << "," << endpoints[2] << "." << endl;
     607  return (((endpoints[0] == Points[0])
     608            || (endpoints[0] == Points[1])
     609            || (endpoints[0] == Points[2])
     610          ) && (
     611            (endpoints[1] == Points[0])
     612            || (endpoints[1] == Points[1])
     613            || (endpoints[1] == Points[2])
     614          ) && (
     615            (endpoints[2] == Points[0])
     616            || (endpoints[2] == Points[1])
     617            || (endpoints[2] == Points[2])
     618
     619          ));
     620};
    628621
    629622/** Checks whether three given \a *Points coincide with triangle's endpoints.
     
    633626bool BoundaryTriangleSet::IsPresentTupel(const BoundaryTriangleSet * const T) const
    634627{
    635   Info FunctionInfo(__func__);
    636   return (((endpoints[0] == T->endpoints[0]) || (endpoints[0] == T->endpoints[1]) || (endpoints[0] == T->endpoints[2])) && ((endpoints[1] == T->endpoints[0]) || (endpoints[1] == T->endpoints[1]) || (endpoints[1] == T->endpoints[2])) && ((endpoints[2] == T->endpoints[0]) || (endpoints[2] == T->endpoints[1]) || (endpoints[2] == T->endpoints[2])
    637 
    638   ));
    639 }
    640 ;
     628        Info FunctionInfo(__func__);
     629  return (((endpoints[0] == T->endpoints[0])
     630            || (endpoints[0] == T->endpoints[1])
     631            || (endpoints[0] == T->endpoints[2])
     632          ) && (
     633            (endpoints[1] == T->endpoints[0])
     634            || (endpoints[1] == T->endpoints[1])
     635            || (endpoints[1] == T->endpoints[2])
     636          ) && (
     637            (endpoints[2] == T->endpoints[0])
     638            || (endpoints[2] == T->endpoints[1])
     639            || (endpoints[2] == T->endpoints[2])
     640
     641          ));
     642};
    641643
    642644/** Returns the endpoint which is not contained in the given \a *line.
     
    646648class BoundaryPointSet *BoundaryTriangleSet::GetThirdEndpoint(const BoundaryLineSet * const line) const
    647649{
    648   Info FunctionInfo(__func__);
     650        Info FunctionInfo(__func__);
    649651  // sanity check
    650652  if (!ContainsBoundaryLine(line))
    651653    return NULL;
    652   for (int i = 0; i < 3; i++)
     654  for(int i=0;i<3;i++)
    653655    if (!line->ContainsBoundaryPoint(endpoints[i]))
    654656      return endpoints[i];
    655657  // actually, that' impossible :)
    656658  return NULL;
    657 }
    658 ;
     659};
    659660
    660661/** Calculates the center point of the triangle.
     
    664665void BoundaryTriangleSet::GetCenter(Vector * const center) const
    665666{
    666   Info FunctionInfo(__func__);
     667        Info FunctionInfo(__func__);
    667668  center->Zero();
    668   for (int i = 0; i < 3; i++)
     669  for(int i=0;i<3;i++)
    669670    center->AddVector(endpoints[i]->node->node);
    670   center->Scale(1. / 3.);
    671   DoLog(1) && (Log() << Verbose(1) << "INFO: Center is at " << *center << "." << endl);
     671  center->Scale(1./3.);
     672  Log() << Verbose(1) << "INFO: Center is at " << *center << "." << endl;
    672673}
    673674
     
    679680{
    680681  ost << "[" << a.Nr << "|" << a.endpoints[0]->node->Name << "," << a.endpoints[1]->node->Name << "," << a.endpoints[2]->node->Name << "]";
    681   //  ost << "[" << a.Nr << "|" << a.endpoints[0]->node->Name << " at " << *a.endpoints[0]->node->node << ","
    682   //      << a.endpoints[1]->node->Name << " at " << *a.endpoints[1]->node->node << "," << a.endpoints[2]->node->Name << " at " << *a.endpoints[2]->node->node << "]";
     682//  ost << "[" << a.Nr << "|" << a.endpoints[0]->node->Name << " at " << *a.endpoints[0]->node->node << ","
     683//      << a.endpoints[1]->node->Name << " at " << *a.endpoints[1]->node->node << "," << a.endpoints[2]->node->Name << " at " << *a.endpoints[2]->node->node << "]";
    683684  return ost;
    684 }
    685 ;
     685};
    686686
    687687// ======================================== Polygons on Boundary =================================
     
    693693{
    694694  Info FunctionInfo(__func__);
    695 }
    696 ;
     695};
    697696
    698697/** Destructor of BoundaryPolygonSet.
     
    704703  Info FunctionInfo(__func__);
    705704  endpoints.clear();
    706   DoLog(1) && (Log() << Verbose(1) << "Erasing polygon Nr." << Nr << " itself." << endl);
    707 }
    708 ;
     705  Log() << Verbose(1) << "Erasing polygon Nr." << Nr << " itself." << endl;
     706};
    709707
    710708/** Calculates the normal vector for this triangle.
     
    720718  Vector *TotalNormal = new Vector;
    721719  PointSet::const_iterator Runner[3];
    722   for (int i = 0; i < 3; i++) {
     720  for (int i=0;i<3; i++) {
    723721    Runner[i] = endpoints.begin();
    724     for (int j = 0; j < i; j++) { // go as much further
     722    for (int j = 0; j<i; j++) { // go as much further
    725723      Runner[i]++;
    726724      if (Runner[i] == endpoints.end()) {
    727         DoeLog(0) && (eLog() << Verbose(0) << "There are less than three endpoints in the polygon!" << endl);
     725        eLog() << Verbose(0) << "There are less than three endpoints in the polygon!" << endl;
    728726        performCriticalExit();
    729727      }
     
    731729  }
    732730  TotalNormal->Zero();
    733   int counter = 0;
    734   for (; Runner[2] != endpoints.end();) {
     731  int counter=0;
     732  for (; Runner[2] != endpoints.end(); ) {
    735733    TemporaryNormal.MakeNormalVector((*Runner[0])->node->node, (*Runner[1])->node->node, (*Runner[2])->node->node);
    736     for (int i = 0; i < 3; i++) // increase each of them
     734    for (int i=0;i<3;i++) // increase each of them
    737735      Runner[i]++;
    738736    TotalNormal->AddVector(&TemporaryNormal);
    739737  }
    740   TotalNormal->Scale(1. / (double) counter);
     738  TotalNormal->Scale(1./(double)counter);
    741739
    742740  // make it always point inward (any offset vector onto plane projected onto normal vector suffices)
    743741  if (TotalNormal->ScalarProduct(&OtherVector) > 0.)
    744742    TotalNormal->Scale(-1.);
    745   DoLog(1) && (Log() << Verbose(1) << "Normal Vector is " << *TotalNormal << "." << endl);
     743  Log() << Verbose(1) << "Normal Vector is " << *TotalNormal << "." << endl;
    746744
    747745  return TotalNormal;
    748 }
    749 ;
     746};
    750747
    751748/** Calculates the center point of the triangle.
     
    758755  center->Zero();
    759756  int counter = 0;
    760   for (PointSet::const_iterator Runner = endpoints.begin(); Runner != endpoints.end(); Runner++) {
     757  for(PointSet::const_iterator Runner = endpoints.begin(); Runner != endpoints.end(); Runner++) {
    761758    center->AddVector((*Runner)->node->node);
    762759    counter++;
    763760  }
    764   center->Scale(1. / (double) counter);
    765   DoLog(1) && (Log() << Verbose(1) << "Center is at " << *center << "." << endl);
     761  center->Scale(1./(double)counter);
     762  Log() << Verbose(1) << "Center is at " << *center << "." << endl;
    766763}
    767764
     
    774771  Info FunctionInfo(__func__);
    775772  return ContainsPresentTupel(triangle->endpoints, 3);
    776 }
    777 ;
     773};
    778774
    779775/** Checks whether the polygons contains both endpoints of the line.
     
    785781  Info FunctionInfo(__func__);
    786782  return ContainsPresentTupel(line->endpoints, 2);
    787 }
    788 ;
     783};
    789784
    790785/** Checks whether point is any of the three endpoints this triangle contains.
     
    795790{
    796791  Info FunctionInfo(__func__);
    797   for (PointSet::const_iterator Runner = endpoints.begin(); Runner != endpoints.end(); Runner++) {
    798     DoLog(0) && (Log() << Verbose(0) << "Checking against " << **Runner << endl);
     792  for(PointSet::const_iterator Runner = endpoints.begin(); Runner != endpoints.end(); Runner++) {
     793    Log() << Verbose(0) << "Checking against " << **Runner << endl;
    799794    if (point == (*Runner)) {
    800       DoLog(0) && (Log() << Verbose(0) << " Contained." << endl);
     795      Log() << Verbose(0) << " Contained." << endl;
    801796      return true;
    802797    }
    803798  }
    804   DoLog(0) && (Log() << Verbose(0) << " Not contained." << endl);
     799  Log() << Verbose(0) << " Not contained." << endl;
    805800  return false;
    806 }
    807 ;
     801};
    808802
    809803/** Checks whether point is any of the three endpoints this triangle contains.
     
    814808{
    815809  Info FunctionInfo(__func__);
    816   for (PointSet::const_iterator Runner = endpoints.begin(); Runner != endpoints.end(); Runner++)
     810  for(PointSet::const_iterator Runner = endpoints.begin(); Runner != endpoints.end(); Runner++)
    817811    if (point == (*Runner)->node) {
    818       DoLog(0) && (Log() << Verbose(0) << " Contained." << endl);
     812      Log() << Verbose(0) << " Contained." << endl;
    819813      return true;
    820814    }
    821   DoLog(0) && (Log() << Verbose(0) << " Not contained." << endl);
     815  Log() << Verbose(0) << " Not contained." << endl;
    822816  return false;
    823 }
    824 ;
     817};
    825818
    826819/** Checks whether given array of \a *Points coincide with polygons's endpoints.
     
    833826  Info FunctionInfo(__func__);
    834827  int counter = 0;
    835   DoLog(1) && (Log() << Verbose(1) << "Polygon is " << *this << endl);
    836   for (int i = 0; i < dim; i++) {
    837     DoLog(1) && (Log() << Verbose(1) << " Testing endpoint " << *Points[i] << endl);
     828  Log() << Verbose(1) << "Polygon is " << *this << endl;
     829  for(int i=0;i<dim;i++) {
     830    Log() << Verbose(1) << " Testing endpoint " << *Points[i] << endl;
    838831    if (ContainsBoundaryPoint(Points[i])) {
    839832      counter++;
     
    845838  else
    846839    return false;
    847 }
    848 ;
     840};
    849841
    850842/** Checks whether given PointList coincide with polygons's endpoints.
     
    856848  Info FunctionInfo(__func__);
    857849  size_t counter = 0;
    858   DoLog(1) && (Log() << Verbose(1) << "Polygon is " << *this << endl);
    859   for (PointSet::const_iterator Runner = endpoints.begin(); Runner != endpoints.end(); Runner++) {
    860     DoLog(1) && (Log() << Verbose(1) << " Testing endpoint " << **Runner << endl);
     850  Log() << Verbose(1) << "Polygon is " << *this << endl;
     851  for(PointSet::const_iterator Runner = endpoints.begin(); Runner != endpoints.end(); Runner++) {
     852    Log() << Verbose(1) << " Testing endpoint " << **Runner << endl;
    861853    if (ContainsBoundaryPoint(*Runner))
    862854      counter++;
     
    867859  else
    868860    return false;
    869 }
    870 ;
     861};
    871862
    872863/** Checks whether given set of \a *Points coincide with polygons's endpoints.
     
    876867bool BoundaryPolygonSet::ContainsPresentTupel(const BoundaryPolygonSet * const P) const
    877868{
    878   return ContainsPresentTupel((const PointSet) P->endpoints);
    879 }
    880 ;
     869  return ContainsPresentTupel((const PointSet)P->endpoints);
     870};
    881871
    882872/** Gathers all the endpoints' triangles in a unique set.
     
    886876{
    887877  Info FunctionInfo(__func__);
    888   pair<TriangleSet::iterator, bool> Tester;
     878  pair <TriangleSet::iterator, bool> Tester;
    889879  TriangleSet *triangles = new TriangleSet;
    890880
    891   for (PointSet::const_iterator Runner = endpoints.begin(); Runner != endpoints.end(); Runner++)
    892     for (LineMap::const_iterator Walker = (*Runner)->lines.begin(); Walker != (*Runner)->lines.end(); Walker++)
    893       for (TriangleMap::const_iterator Sprinter = (Walker->second)->triangles.begin(); Sprinter != (Walker->second)->triangles.end(); Sprinter++) {
     881  for(PointSet::const_iterator Runner = endpoints.begin(); Runner != endpoints.end(); Runner++)
     882    for(LineMap::const_iterator Walker = (*Runner)->lines.begin(); Walker != (*Runner)->lines.end(); Walker++)
     883      for(TriangleMap::const_iterator Sprinter = (Walker->second)->triangles.begin(); Sprinter != (Walker->second)->triangles.end(); Sprinter++) {
    894884        //Log() << Verbose(0) << " Testing triangle " << *(Sprinter->second) << endl;
    895885        if (ContainsBoundaryTriangle(Sprinter->second)) {
    896886          Tester = triangles->insert(Sprinter->second);
    897887          if (Tester.second)
    898             DoLog(0) && (Log() << Verbose(0) << "Adding triangle " << *(Sprinter->second) << endl);
     888            Log() << Verbose(0) << "Adding triangle " << *(Sprinter->second) << endl;
    899889        }
    900890      }
    901891
    902   DoLog(1) && (Log() << Verbose(1) << "The Polygon of " << endpoints.size() << " endpoints has " << triangles->size() << " unique triangles in total." << endl);
     892  Log() << Verbose(1) << "The Polygon of " << endpoints.size() << " endpoints has " << triangles->size() << " unique triangles in total." << endl;
    903893  return triangles;
    904 }
    905 ;
     894};
    906895
    907896/** Fills the endpoints of this polygon from the triangles attached to \a *line.
     
    912901{
    913902  Info FunctionInfo(__func__);
    914   pair<PointSet::iterator, bool> Tester;
     903  pair <PointSet::iterator, bool> Tester;
    915904  if (line == NULL)
    916905    return false;
    917   DoLog(1) && (Log() << Verbose(1) << "Filling polygon from line " << *line << endl);
    918   for (TriangleMap::const_iterator Runner = line->triangles.begin(); Runner != line->triangles.end(); Runner++) {
    919     for (int i = 0; i < 3; i++) {
     906  Log() << Verbose(1) << "Filling polygon from line " << *line << endl;
     907  for(TriangleMap::const_iterator Runner = line->triangles.begin(); Runner != line->triangles.end(); Runner++) {
     908    for (int i=0;i<3;i++) {
    920909      Tester = endpoints.insert((Runner->second)->endpoints[i]);
    921910      if (Tester.second)
    922         DoLog(1) && (Log() << Verbose(1) << "  Inserting endpoint " << *((Runner->second)->endpoints[i]) << endl);
     911        Log() << Verbose(1) << "  Inserting endpoint " << *((Runner->second)->endpoints[i]) << endl;
    923912    }
    924913  }
    925914
    926915  return true;
    927 }
    928 ;
     916};
    929917
    930918/** output operator for BoundaryPolygonSet.
     
    935923{
    936924  ost << "[" << a.Nr << "|";
    937   for (PointSet::const_iterator Runner = a.endpoints.begin(); Runner != a.endpoints.end();) {
    938     ost << (*Runner)->node->Name;
    939     Runner++;
    940     if (Runner != a.endpoints.end())
    941       ost << ",";
    942   }
    943   ost << "]";
     925  for(PointSet::const_iterator Runner = a.endpoints.begin(); Runner != a.endpoints.end();) {
     926   ost << (*Runner)->node->Name;
     927   Runner++;
     928   if (Runner != a.endpoints.end())
     929     ost << ",";
     930  }
     931  ost<< "]";
    944932  return ost;
    945 }
    946 ;
     933};
    947934
    948935// =========================================================== class TESSELPOINT ===========================================
     
    955942  node = NULL;
    956943  nr = -1;
    957   Name = NULL;
    958 }
    959 ;
     944  Name =  NULL;
     945};
    960946
    961947/** Destructor for class TesselPoint.
     
    964950{
    965951  //Info FunctionInfo(__func__);
    966 }
    967 ;
     952};
    968953
    969954/** Prints LCNode to screen.
    970955 */
    971 ostream & operator <<(ostream &ost, const TesselPoint &a)
     956ostream & operator << (ostream &ost, const TesselPoint &a)
    972957{
    973958  ost << "[" << (a.Name) << "|" << a.Name << " at " << *a.node << "]";
    974959  return ost;
    975 }
    976 ;
     960};
    977961
    978962/** Prints LCNode to screen.
    979963 */
    980 ostream & TesselPoint::operator <<(ostream &ost)
    981 {
    982   Info FunctionInfo(__func__);
     964ostream & TesselPoint::operator << (ostream &ost)
     965{
     966        Info FunctionInfo(__func__);
    983967  ost << "[" << (nr) << "|" << this << "]";
    984968  return ost;
    985 }
    986 ;
     969};
     970
    987971
    988972// =========================================================== class POINTCLOUD ============================================
     
    992976PointCloud::PointCloud()
    993977{
    994   //Info FunctionInfo(__func__);
    995 }
    996 ;
     978        //Info FunctionInfo(__func__);
     979};
    997980
    998981/** Destructor for class PointCloud.
     
    1000983PointCloud::~PointCloud()
    1001984{
    1002   //Info FunctionInfo(__func__);
    1003 }
    1004 ;
     985        //Info FunctionInfo(__func__);
     986};
    1005987
    1006988// ============================ CandidateForTesselation =============================
     
    1008990/** Constructor of class CandidateForTesselation.
    1009991 */
    1010 CandidateForTesselation::CandidateForTesselation(BoundaryLineSet* line) :
    1011   BaseLine(line), ThirdPoint(NULL), T(NULL), ShortestAngle(2. * M_PI), OtherShortestAngle(2. * M_PI)
    1012 {
    1013   Info FunctionInfo(__func__);
    1014 }
    1015 ;
     992CandidateForTesselation::CandidateForTesselation (BoundaryLineSet* line) :
     993  BaseLine(line),
     994  ShortestAngle(2.*M_PI),
     995  OtherShortestAngle(2.*M_PI)
     996{
     997        Info FunctionInfo(__func__);
     998};
     999
    10161000
    10171001/** Constructor of class CandidateForTesselation.
    10181002 */
    1019 CandidateForTesselation::CandidateForTesselation(TesselPoint *candidate, BoundaryLineSet* line, BoundaryPointSet* point, Vector OptCandidateCenter, Vector OtherOptCandidateCenter) :
    1020   BaseLine(line), ThirdPoint(point), T(NULL), ShortestAngle(2. * M_PI), OtherShortestAngle(2. * M_PI)
    1021 {
    1022   Info FunctionInfo(__func__);
     1003CandidateForTesselation::CandidateForTesselation (TesselPoint *candidate, BoundaryLineSet* line, Vector OptCandidateCenter, Vector OtherOptCandidateCenter) :
     1004    BaseLine(line),
     1005    ShortestAngle(2.*M_PI),
     1006    OtherShortestAngle(2.*M_PI)
     1007{
     1008        Info FunctionInfo(__func__);
    10231009  OptCenter.CopyVector(&OptCandidateCenter);
    10241010  OtherOptCenter.CopyVector(&OtherOptCandidateCenter);
    1025 }
    1026 ;
     1011};
    10271012
    10281013/** Destructor for class CandidateForTesselation.
    10291014 */
    1030 CandidateForTesselation::~CandidateForTesselation()
    1031 {
    1032 }
    1033 ;
    1034 
    1035 /** Checks validity of a given sphere of a candidate line.
    1036  * Sphere must touch all candidates and the baseline endpoints and there must be no other atoms inside.
    1037  * \param RADIUS radius of sphere
    1038  * \param *LC LinkedCell structure with other atoms
    1039  * \return true - sphere is valid, false - sphere contains other points
    1040  */
    1041 bool CandidateForTesselation::CheckValidity(const double RADIUS, const LinkedCell *LC) const
    1042 {
    1043   Info FunctionInfo(__func__);
    1044 
    1045   const double radiusSquared = RADIUS * RADIUS;
    1046   list<const Vector *> VectorList;
    1047   VectorList.push_back(&OptCenter);
    1048   //VectorList.push_back(&OtherOptCenter);  // don't check the other (wrong) center
    1049 
    1050   if (!pointlist.empty())
    1051     DoLog(1) && (Log() << Verbose(1) << "INFO: Checking whether sphere contains candidate list and baseline " << *BaseLine->endpoints[0] << "<->" << *BaseLine->endpoints[1] << " only ..." << endl);
    1052   else
    1053     DoLog(1) && (Log() << Verbose(1) << "INFO: Checking whether sphere with no candidates contains baseline " << *BaseLine->endpoints[0] << "<->" << *BaseLine->endpoints[1] << " only ..." << endl);
    1054   // check baseline for OptCenter and OtherOptCenter being on sphere's surface
    1055   for (list<const Vector *>::const_iterator VRunner = VectorList.begin(); VRunner != VectorList.end(); ++VRunner) {
    1056     for (int i = 0; i < 2; i++) {
    1057       const double distance = fabs((*VRunner)->DistanceSquared(BaseLine->endpoints[i]->node->node) - radiusSquared);
    1058       if (distance > HULLEPSILON) {
    1059         DoeLog(1) && (eLog() << Verbose(1) << "Endpoint " << *BaseLine->endpoints[i] << " is out of sphere at " << *(*VRunner) << " by " << distance << "." << endl);
    1060         return false;
    1061       }
    1062     }
    1063   }
    1064 
    1065   // check Candidates for OptCenter and OtherOptCenter being on sphere's surface
    1066   for (TesselPointList::const_iterator Runner = pointlist.begin(); Runner != pointlist.end(); ++Runner) {
    1067     const TesselPoint *Walker = *Runner;
    1068     for (list<const Vector *>::const_iterator VRunner = VectorList.begin(); VRunner != VectorList.end(); ++VRunner) {
    1069       const double distance = fabs((*VRunner)->DistanceSquared(Walker->node) - radiusSquared);
    1070       if (distance > HULLEPSILON) {
    1071         DoeLog(1) && (eLog() << Verbose(1) << "Candidate " << *Walker << " is out of sphere at " << *(*VRunner) << " by " << distance << "." << endl);
    1072         return false;
    1073       } else {
    1074         DoLog(1) && (Log() << Verbose(1) << "Candidate " << *Walker << " is inside by " << distance << "." << endl);
    1075       }
    1076     }
    1077   }
    1078 
    1079   DoLog(1) && (Log() << Verbose(1) << "INFO: Checking whether sphere contains no others points ..." << endl);
    1080   bool flag = true;
    1081   for (list<const Vector *>::const_iterator VRunner = VectorList.begin(); VRunner != VectorList.end(); ++VRunner) {
    1082     // get all points inside the sphere
    1083     TesselPointList *ListofPoints = LC->GetPointsInsideSphere(RADIUS, (*VRunner));
    1084 
    1085     DoLog(1) && (Log() << Verbose(1) << "The following atoms are inside sphere at " << OtherOptCenter << ":" << endl);
    1086     for (TesselPointList::const_iterator Runner = ListofPoints->begin(); Runner != ListofPoints->end(); ++Runner)
    1087       DoLog(1) && (Log() << Verbose(1) << "  " << *(*Runner) << " with distance " << (*Runner)->node->Distance(&OtherOptCenter) << "." << endl);
    1088 
    1089     // remove baseline's endpoints and candidates
    1090     for (int i = 0; i < 2; i++) {
    1091       DoLog(1) && (Log() << Verbose(1) << "INFO: removing baseline tesselpoint " << *BaseLine->endpoints[i]->node << "." << endl);
    1092       ListofPoints->remove(BaseLine->endpoints[i]->node);
    1093     }
    1094     for (TesselPointList::const_iterator Runner = pointlist.begin(); Runner != pointlist.end(); ++Runner) {
    1095       DoLog(1) && (Log() << Verbose(1) << "INFO: removing candidate tesselpoint " << *(*Runner) << "." << endl);
    1096       ListofPoints->remove(*Runner);
    1097     }
    1098     if (!ListofPoints->empty()) {
    1099       DoeLog(1) && (eLog() << Verbose(1) << "CheckValidity: There are still " << ListofPoints->size() << " points inside the sphere." << endl);
    1100       flag = false;
    1101       DoeLog(1) && (eLog() << Verbose(1) << "External atoms inside of sphere at " << *(*VRunner) << ":" << endl);
    1102       for (TesselPointList::const_iterator Runner = ListofPoints->begin(); Runner != ListofPoints->end(); ++Runner)
    1103         DoeLog(1) && (eLog() << Verbose(1) << "  " << *(*Runner) << endl);
    1104     }
    1105     delete (ListofPoints);
    1106 
    1107     // check with animate_sphere.tcl VMD script
    1108     if (ThirdPoint != NULL) {
    1109       DoLog(1) && (Log() << Verbose(1) << "Check by: animate_sphere 0 " << BaseLine->endpoints[0]->Nr + 1 << " " << BaseLine->endpoints[1]->Nr + 1 << " " << ThirdPoint->Nr + 1 << " " << RADIUS << " " << OldCenter.x[0] << " " << OldCenter.x[1] << " " << OldCenter.x[2] << " " << (*VRunner)->x[0] << " " << (*VRunner)->x[1] << " " << (*VRunner)->x[2] << endl);
    1110     } else {
    1111       DoLog(1) && (Log() << Verbose(1) << "Check by: ... missing third point ..." << endl);
    1112       DoLog(1) && (Log() << Verbose(1) << "Check by: animate_sphere 0 " << BaseLine->endpoints[0]->Nr + 1 << " " << BaseLine->endpoints[1]->Nr + 1 << " ??? " << RADIUS << " " << OldCenter.x[0] << " " << OldCenter.x[1] << " " << OldCenter.x[2] << " " << (*VRunner)->x[0] << " " << (*VRunner)->x[1] << " " << (*VRunner)->x[2] << endl);
    1113     }
    1114   }
    1115   return flag;
    1116 }
    1117 ;
     1015CandidateForTesselation::~CandidateForTesselation() {
     1016  BaseLine = NULL;
     1017};
    11181018
    11191019/** output operator for CandidateForTesselation.
     
    11211021 * \param &a boundary line
    11221022 */
    1123 ostream & operator <<(ostream &ost, const CandidateForTesselation &a)
     1023ostream & operator <<(ostream &ost, const  CandidateForTesselation &a)
    11241024{
    11251025  ost << "[" << a.BaseLine->Nr << "|" << a.BaseLine->endpoints[0]->node->Name << "," << a.BaseLine->endpoints[1]->node->Name << "] with ";
     
    11341034    for (TesselPointList::const_iterator Runner = a.pointlist.begin(); Runner != a.pointlist.end(); Runner++)
    11351035      ost << *(*Runner) << " ";
    1136     ost << " at angle " << (a.ShortestAngle) << ".";
     1036    ost << " at angle " << (a.ShortestAngle)<< ".";
    11371037  }
    11381038
    11391039  return ost;
     1040};
     1041
     1042
     1043// =========================================================== class TESSELATION ===========================================
     1044
     1045/** Constructor of class Tesselation.
     1046 */
     1047Tesselation::Tesselation() :
     1048  PointsOnBoundaryCount(0),
     1049  LinesOnBoundaryCount(0),
     1050  TrianglesOnBoundaryCount(0),
     1051  LastTriangle(NULL),
     1052  TriangleFilesWritten(0),
     1053  InternalPointer(PointsOnBoundary.begin())
     1054{
     1055        Info FunctionInfo(__func__);
    11401056}
    11411057;
    11421058
    1143 // =========================================================== class TESSELATION ===========================================
    1144 
    1145 /** Constructor of class Tesselation.
    1146  */
    1147 Tesselation::Tesselation() :
    1148   PointsOnBoundaryCount(0), LinesOnBoundaryCount(0), TrianglesOnBoundaryCount(0), LastTriangle(NULL), TriangleFilesWritten(0), InternalPointer(PointsOnBoundary.begin())
    1149 {
    1150   Info FunctionInfo(__func__);
    1151 }
    1152 ;
    1153 
    11541059/** Destructor of class Tesselation.
    11551060 * We have to free all points, lines and triangles.
     
    11571062Tesselation::~Tesselation()
    11581063{
    1159   Info FunctionInfo(__func__);
    1160   DoLog(0) && (Log() << Verbose(0) << "Free'ing TesselStruct ... " << endl);
     1064        Info FunctionInfo(__func__);
     1065  Log() << Verbose(0) << "Free'ing TesselStruct ... " << endl;
    11611066  for (TriangleMap::iterator runner = TrianglesOnBoundary.begin(); runner != TrianglesOnBoundary.end(); runner++) {
    11621067    if (runner->second != NULL) {
     
    11641069      runner->second = NULL;
    11651070    } else
    1166       DoeLog(1) && (eLog() << Verbose(1) << "The triangle " << runner->first << " has already been free'd." << endl);
    1167   }
    1168   DoLog(0) && (Log() << Verbose(0) << "This envelope was written to file " << TriangleFilesWritten << " times(s)." << endl);
     1071      eLog() << Verbose(1) << "The triangle " << runner->first << " has already been free'd." << endl;
     1072  }
     1073  Log() << Verbose(0) << "This envelope was written to file " << TriangleFilesWritten << " times(s)." << endl;
    11691074}
    11701075;
     
    11721077/** PointCloud implementation of GetCenter
    11731078 * Uses PointsOnBoundary and STL stuff.
    1174  */
     1079 */   
    11751080Vector * Tesselation::GetCenter(ofstream *out) const
    11761081{
    1177   Info FunctionInfo(__func__);
    1178   Vector *Center = new Vector(0., 0., 0.);
    1179   int num = 0;
     1082        Info FunctionInfo(__func__);
     1083  Vector *Center = new Vector(0.,0.,0.);
     1084  int num=0;
    11801085  for (GoToFirst(); (!IsEnd()); GoToNext()) {
    11811086    Center->AddVector(GetPoint()->node);
    11821087    num++;
    11831088  }
    1184   Center->Scale(1. / num);
     1089  Center->Scale(1./num);
    11851090  return Center;
    1186 }
    1187 ;
     1091};
    11881092
    11891093/** PointCloud implementation of GoPoint
    11901094 * Uses PointsOnBoundary and STL stuff.
    1191  */
     1095 */   
    11921096TesselPoint * Tesselation::GetPoint() const
    11931097{
    1194   Info FunctionInfo(__func__);
     1098        Info FunctionInfo(__func__);
    11951099  return (InternalPointer->second->node);
    1196 }
    1197 ;
     1100};
    11981101
    11991102/** PointCloud implementation of GetTerminalPoint.
    12001103 * Uses PointsOnBoundary and STL stuff.
    1201  */
     1104 */   
    12021105TesselPoint * Tesselation::GetTerminalPoint() const
    12031106{
    1204   Info FunctionInfo(__func__);
     1107        Info FunctionInfo(__func__);
    12051108  PointMap::const_iterator Runner = PointsOnBoundary.end();
    12061109  Runner--;
    12071110  return (Runner->second->node);
    1208 }
    1209 ;
     1111};
    12101112
    12111113/** PointCloud implementation of GoToNext.
    12121114 * Uses PointsOnBoundary and STL stuff.
    1213  */
     1115 */   
    12141116void Tesselation::GoToNext() const
    12151117{
    1216   Info FunctionInfo(__func__);
     1118        Info FunctionInfo(__func__);
    12171119  if (InternalPointer != PointsOnBoundary.end())
    12181120    InternalPointer++;
    1219 }
    1220 ;
     1121};
    12211122
    12221123/** PointCloud implementation of GoToPrevious.
    12231124 * Uses PointsOnBoundary and STL stuff.
    1224  */
     1125 */   
    12251126void Tesselation::GoToPrevious() const
    12261127{
    1227   Info FunctionInfo(__func__);
     1128        Info FunctionInfo(__func__);
    12281129  if (InternalPointer != PointsOnBoundary.begin())
    12291130    InternalPointer--;
    1230 }
    1231 ;
     1131};
    12321132
    12331133/** PointCloud implementation of GoToFirst.
    12341134 * Uses PointsOnBoundary and STL stuff.
    1235  */
     1135 */   
    12361136void Tesselation::GoToFirst() const
    12371137{
    1238   Info FunctionInfo(__func__);
     1138        Info FunctionInfo(__func__);
    12391139  InternalPointer = PointsOnBoundary.begin();
    1240 }
    1241 ;
     1140};
    12421141
    12431142/** PointCloud implementation of GoToLast.
     
    12461145void Tesselation::GoToLast() const
    12471146{
    1248   Info FunctionInfo(__func__);
     1147        Info FunctionInfo(__func__);
    12491148  InternalPointer = PointsOnBoundary.end();
    12501149  InternalPointer--;
    1251 }
    1252 ;
     1150};
    12531151
    12541152/** PointCloud implementation of IsEmpty.
    12551153 * Uses PointsOnBoundary and STL stuff.
    1256  */
     1154 */   
    12571155bool Tesselation::IsEmpty() const
    12581156{
    1259   Info FunctionInfo(__func__);
     1157        Info FunctionInfo(__func__);
    12601158  return (PointsOnBoundary.empty());
    1261 }
    1262 ;
     1159};
    12631160
    12641161/** PointCloud implementation of IsLast.
    12651162 * Uses PointsOnBoundary and STL stuff.
    1266  */
     1163 */   
    12671164bool Tesselation::IsEnd() const
    12681165{
    1269   Info FunctionInfo(__func__);
     1166        Info FunctionInfo(__func__);
    12701167  return (InternalPointer == PointsOnBoundary.end());
    1271 }
    1272 ;
     1168};
     1169
    12731170
    12741171/** Gueses first starting triangle of the convex envelope.
     
    12791176void Tesselation::GuessStartingTriangle()
    12801177{
    1281   Info FunctionInfo(__func__);
     1178        Info FunctionInfo(__func__);
    12821179  // 4b. create a starting triangle
    12831180  // 4b1. create all distances
     
    12891186
    12901187  // with A chosen, take each pair B,C and sort
    1291   if (A != PointsOnBoundary.end()) {
    1292     B = A;
    1293     B++;
    1294     for (; B != PointsOnBoundary.end(); B++) {
    1295       C = B;
    1296       C++;
    1297       for (; C != PointsOnBoundary.end(); C++) {
    1298         tmp = A->second->node->node->DistanceSquared(B->second->node->node);
    1299         distance = tmp * tmp;
    1300         tmp = A->second->node->node->DistanceSquared(C->second->node->node);
    1301         distance += tmp * tmp;
    1302         tmp = B->second->node->node->DistanceSquared(C->second->node->node);
    1303         distance += tmp * tmp;
    1304         DistanceMMap.insert(DistanceMultiMapPair(distance, pair<PointMap::iterator, PointMap::iterator> (B, C)));
    1305       }
    1306     }
    1307   }
     1188  if (A != PointsOnBoundary.end())
     1189    {
     1190      B = A;
     1191      B++;
     1192      for (; B != PointsOnBoundary.end(); B++)
     1193        {
     1194          C = B;
     1195          C++;
     1196          for (; C != PointsOnBoundary.end(); C++)
     1197            {
     1198              tmp = A->second->node->node->DistanceSquared(B->second->node->node);
     1199              distance = tmp * tmp;
     1200              tmp = A->second->node->node->DistanceSquared(C->second->node->node);
     1201              distance += tmp * tmp;
     1202              tmp = B->second->node->node->DistanceSquared(C->second->node->node);
     1203              distance += tmp * tmp;
     1204              DistanceMMap.insert(DistanceMultiMapPair(distance, pair<PointMap::iterator, PointMap::iterator> (B, C)));
     1205            }
     1206        }
     1207    }
    13081208  //    // listing distances
    13091209  //    Log() << Verbose(1) << "Listing DistanceMMap:";
     
    13151215  // 1. we take from the smallest sum of squared distance as the base line BC (with peak A) onward as the triangle candidate
    13161216  DistanceMultiMap::iterator baseline = DistanceMMap.begin();
    1317   for (; baseline != DistanceMMap.end(); baseline++) {
    1318     // we take from the smallest sum of squared distance as the base line BC (with peak A) onward as the triangle candidate
    1319     // 2. next, we have to check whether all points reside on only one side of the triangle
    1320     // 3. construct plane vector
    1321     PlaneVector.MakeNormalVector(A->second->node->node, baseline->second.first->second->node->node, baseline->second.second->second->node->node);
    1322     DoLog(2) && (Log() << Verbose(2) << "Plane vector of candidate triangle is " << PlaneVector << endl);
    1323     // 4. loop over all points
    1324     double sign = 0.;
    1325     PointMap::iterator checker = PointsOnBoundary.begin();
    1326     for (; checker != PointsOnBoundary.end(); checker++) {
    1327       // (neglecting A,B,C)
    1328       if ((checker == A) || (checker == baseline->second.first) || (checker == baseline->second.second))
    1329         continue;
    1330       // 4a. project onto plane vector
    1331       TrialVector.CopyVector(checker->second->node->node);
    1332       TrialVector.SubtractVector(A->second->node->node);
    1333       distance = TrialVector.ScalarProduct(&PlaneVector);
    1334       if (fabs(distance) < 1e-4) // we need to have a small epsilon around 0 which is still ok
    1335         continue;
    1336       DoLog(2) && (Log() << Verbose(2) << "Projection of " << checker->second->node->Name << " yields distance of " << distance << "." << endl);
    1337       tmp = distance / fabs(distance);
    1338       // 4b. Any have different sign to than before? (i.e. would lie outside convex hull with this starting triangle)
    1339       if ((sign != 0) && (tmp != sign)) {
    1340         // 4c. If so, break 4. loop and continue with next candidate in 1. loop
    1341         DoLog(2) && (Log() << Verbose(2) << "Current candidates: " << A->second->node->Name << "," << baseline->second.first->second->node->Name << "," << baseline->second.second->second->node->Name << " leaves " << checker->second->node->Name << " outside the convex hull." << endl);
    1342         break;
    1343       } else { // note the sign for later
    1344         DoLog(2) && (Log() << Verbose(2) << "Current candidates: " << A->second->node->Name << "," << baseline->second.first->second->node->Name << "," << baseline->second.second->second->node->Name << " leave " << checker->second->node->Name << " inside the convex hull." << endl);
    1345         sign = tmp;
    1346       }
    1347       // 4d. Check whether the point is inside the triangle (check distance to each node
    1348       tmp = checker->second->node->node->DistanceSquared(A->second->node->node);
    1349       int innerpoint = 0;
    1350       if ((tmp < A->second->node->node->DistanceSquared(baseline->second.first->second->node->node)) && (tmp < A->second->node->node->DistanceSquared(baseline->second.second->second->node->node)))
    1351         innerpoint++;
    1352       tmp = checker->second->node->node->DistanceSquared(baseline->second.first->second->node->node);
    1353       if ((tmp < baseline->second.first->second->node->node->DistanceSquared(A->second->node->node)) && (tmp < baseline->second.first->second->node->node->DistanceSquared(baseline->second.second->second->node->node)))
    1354         innerpoint++;
    1355       tmp = checker->second->node->node->DistanceSquared(baseline->second.second->second->node->node);
    1356       if ((tmp < baseline->second.second->second->node->node->DistanceSquared(baseline->second.first->second->node->node)) && (tmp < baseline->second.second->second->node->node->DistanceSquared(A->second->node->node)))
    1357         innerpoint++;
    1358       // 4e. If so, break 4. loop and continue with next candidate in 1. loop
    1359       if (innerpoint == 3)
    1360         break;
    1361     }
    1362     // 5. come this far, all on same side? Then break 1. loop and construct triangle
    1363     if (checker == PointsOnBoundary.end()) {
    1364       DoLog(2) && (Log() << Verbose(2) << "Looks like we have a candidate!" << endl);
    1365       break;
    1366     }
    1367   }
    1368   if (baseline != DistanceMMap.end()) {
    1369     BPS[0] = baseline->second.first->second;
    1370     BPS[1] = baseline->second.second->second;
    1371     BLS[0] = new class BoundaryLineSet(BPS, LinesOnBoundaryCount);
    1372     BPS[0] = A->second;
    1373     BPS[1] = baseline->second.second->second;
    1374     BLS[1] = new class BoundaryLineSet(BPS, LinesOnBoundaryCount);
    1375     BPS[0] = baseline->second.first->second;
    1376     BPS[1] = A->second;
    1377     BLS[2] = new class BoundaryLineSet(BPS, LinesOnBoundaryCount);
    1378 
    1379     // 4b3. insert created triangle
    1380     BTS = new class BoundaryTriangleSet(BLS, TrianglesOnBoundaryCount);
    1381     TrianglesOnBoundary.insert(TrianglePair(TrianglesOnBoundaryCount, BTS));
    1382     TrianglesOnBoundaryCount++;
    1383     for (int i = 0; i < NDIM; i++) {
    1384       LinesOnBoundary.insert(LinePair(LinesOnBoundaryCount, BTS->lines[i]));
    1385       LinesOnBoundaryCount++;
    1386     }
    1387 
    1388     DoLog(1) && (Log() << Verbose(1) << "Starting triangle is " << *BTS << "." << endl);
    1389   } else {
    1390     DoeLog(0) && (eLog() << Verbose(0) << "No starting triangle found." << endl);
    1391   }
     1217  for (; baseline != DistanceMMap.end(); baseline++)
     1218    {
     1219      // we take from the smallest sum of squared distance as the base line BC (with peak A) onward as the triangle candidate
     1220      // 2. next, we have to check whether all points reside on only one side of the triangle
     1221      // 3. construct plane vector
     1222      PlaneVector.MakeNormalVector(A->second->node->node,
     1223          baseline->second.first->second->node->node,
     1224          baseline->second.second->second->node->node);
     1225      Log() << Verbose(2) << "Plane vector of candidate triangle is " << PlaneVector << endl;
     1226      // 4. loop over all points
     1227      double sign = 0.;
     1228      PointMap::iterator checker = PointsOnBoundary.begin();
     1229      for (; checker != PointsOnBoundary.end(); checker++)
     1230        {
     1231          // (neglecting A,B,C)
     1232          if ((checker == A) || (checker == baseline->second.first) || (checker
     1233              == baseline->second.second))
     1234            continue;
     1235          // 4a. project onto plane vector
     1236          TrialVector.CopyVector(checker->second->node->node);
     1237          TrialVector.SubtractVector(A->second->node->node);
     1238          distance = TrialVector.ScalarProduct(&PlaneVector);
     1239          if (fabs(distance) < 1e-4) // we need to have a small epsilon around 0 which is still ok
     1240            continue;
     1241          Log() << Verbose(2) << "Projection of " << checker->second->node->Name << " yields distance of " << distance << "." << endl;
     1242          tmp = distance / fabs(distance);
     1243          // 4b. Any have different sign to than before? (i.e. would lie outside convex hull with this starting triangle)
     1244          if ((sign != 0) && (tmp != sign))
     1245            {
     1246              // 4c. If so, break 4. loop and continue with next candidate in 1. loop
     1247              Log() << Verbose(2) << "Current candidates: "
     1248                  << A->second->node->Name << ","
     1249                  << baseline->second.first->second->node->Name << ","
     1250                  << baseline->second.second->second->node->Name << " leaves "
     1251                  << checker->second->node->Name << " outside the convex hull."
     1252                  << endl;
     1253              break;
     1254            }
     1255          else
     1256            { // note the sign for later
     1257              Log() << Verbose(2) << "Current candidates: "
     1258                  << A->second->node->Name << ","
     1259                  << baseline->second.first->second->node->Name << ","
     1260                  << baseline->second.second->second->node->Name << " leave "
     1261                  << checker->second->node->Name << " inside the convex hull."
     1262                  << endl;
     1263              sign = tmp;
     1264            }
     1265          // 4d. Check whether the point is inside the triangle (check distance to each node
     1266          tmp = checker->second->node->node->DistanceSquared(A->second->node->node);
     1267          int innerpoint = 0;
     1268          if ((tmp < A->second->node->node->DistanceSquared(
     1269              baseline->second.first->second->node->node)) && (tmp
     1270              < A->second->node->node->DistanceSquared(
     1271                  baseline->second.second->second->node->node)))
     1272            innerpoint++;
     1273          tmp = checker->second->node->node->DistanceSquared(
     1274              baseline->second.first->second->node->node);
     1275          if ((tmp < baseline->second.first->second->node->node->DistanceSquared(
     1276              A->second->node->node)) && (tmp
     1277              < baseline->second.first->second->node->node->DistanceSquared(
     1278                  baseline->second.second->second->node->node)))
     1279            innerpoint++;
     1280          tmp = checker->second->node->node->DistanceSquared(
     1281              baseline->second.second->second->node->node);
     1282          if ((tmp < baseline->second.second->second->node->node->DistanceSquared(
     1283              baseline->second.first->second->node->node)) && (tmp
     1284              < baseline->second.second->second->node->node->DistanceSquared(
     1285                  A->second->node->node)))
     1286            innerpoint++;
     1287          // 4e. If so, break 4. loop and continue with next candidate in 1. loop
     1288          if (innerpoint == 3)
     1289            break;
     1290        }
     1291      // 5. come this far, all on same side? Then break 1. loop and construct triangle
     1292      if (checker == PointsOnBoundary.end())
     1293        {
     1294          Log() << Verbose(2) << "Looks like we have a candidate!" << endl;
     1295          break;
     1296        }
     1297    }
     1298  if (baseline != DistanceMMap.end())
     1299    {
     1300      BPS[0] = baseline->second.first->second;
     1301      BPS[1] = baseline->second.second->second;
     1302      BLS[0] = new class BoundaryLineSet(BPS, LinesOnBoundaryCount);
     1303      BPS[0] = A->second;
     1304      BPS[1] = baseline->second.second->second;
     1305      BLS[1] = new class BoundaryLineSet(BPS, LinesOnBoundaryCount);
     1306      BPS[0] = baseline->second.first->second;
     1307      BPS[1] = A->second;
     1308      BLS[2] = new class BoundaryLineSet(BPS, LinesOnBoundaryCount);
     1309
     1310      // 4b3. insert created triangle
     1311      BTS = new class BoundaryTriangleSet(BLS, TrianglesOnBoundaryCount);
     1312      TrianglesOnBoundary.insert(TrianglePair(TrianglesOnBoundaryCount, BTS));
     1313      TrianglesOnBoundaryCount++;
     1314      for (int i = 0; i < NDIM; i++)
     1315        {
     1316          LinesOnBoundary.insert(LinePair(LinesOnBoundaryCount, BTS->lines[i]));
     1317          LinesOnBoundaryCount++;
     1318        }
     1319
     1320      Log() << Verbose(1) << "Starting triangle is " << *BTS << "." << endl;
     1321    }
     1322  else
     1323    {
     1324      eLog() << Verbose(0) << "No starting triangle found." << endl;
     1325    }
    13921326}
    13931327;
     
    14081342void Tesselation::TesselateOnBoundary(const PointCloud * const cloud)
    14091343{
    1410   Info FunctionInfo(__func__);
     1344        Info FunctionInfo(__func__);
    14111345  bool flag;
    14121346  PointMap::iterator winner;
     
    14271361        // get peak point with respect to this base line's only triangle
    14281362        BTS = baseline->second->triangles.begin()->second; // there is only one triangle so far
    1429         DoLog(0) && (Log() << Verbose(0) << "Current baseline is between " << *(baseline->second) << "." << endl);
     1363        Log() << Verbose(0) << "Current baseline is between " << *(baseline->second) << "." << endl;
    14301364        for (int i = 0; i < 3; i++)
    14311365          if ((BTS->endpoints[i] != baseline->second->endpoints[0]) && (BTS->endpoints[i] != baseline->second->endpoints[1]))
    14321366            peak = BTS->endpoints[i];
    1433         DoLog(1) && (Log() << Verbose(1) << " and has peak " << *peak << "." << endl);
     1367        Log() << Verbose(1) << " and has peak " << *peak << "." << endl;
    14341368
    14351369        // prepare some auxiliary vectors
     
    14461380          CenterVector.AddVector(BTS->endpoints[i]->node->node);
    14471381        CenterVector.Scale(1. / 3.);
    1448         DoLog(2) && (Log() << Verbose(2) << "CenterVector of base triangle is " << CenterVector << endl);
     1382        Log() << Verbose(2) << "CenterVector of base triangle is " << CenterVector << endl;
    14491383
    14501384        // normal vector of triangle
     
    14531387        BTS->GetNormalVector(NormalVector);
    14541388        NormalVector.CopyVector(&BTS->NormalVector);
    1455         DoLog(2) && (Log() << Verbose(2) << "NormalVector of base triangle is " << NormalVector << endl);
     1389        Log() << Verbose(2) << "NormalVector of base triangle is " << NormalVector << endl;
    14561390
    14571391        // vector in propagation direction (out of triangle)
     
    14631397        if (PropagationVector.ScalarProduct(&TempVector) > 0) // make sure normal propagation vector points outward from baseline
    14641398          PropagationVector.Scale(-1.);
    1465         DoLog(2) && (Log() << Verbose(2) << "PropagationVector of base triangle is " << PropagationVector << endl);
     1399        Log() << Verbose(2) << "PropagationVector of base triangle is " << PropagationVector << endl;
    14661400        winner = PointsOnBoundary.end();
    14671401
     
    14691403        for (PointMap::iterator target = PointsOnBoundary.begin(); target != PointsOnBoundary.end(); target++) {
    14701404          if ((target->second != baseline->second->endpoints[0]) && (target->second != baseline->second->endpoints[1])) { // don't take the same endpoints
    1471             DoLog(1) && (Log() << Verbose(1) << "Target point is " << *(target->second) << ":" << endl);
     1405            Log() << Verbose(1) << "Target point is " << *(target->second) << ":" << endl;
    14721406
    14731407            // first check direction, so that triangles don't intersect
     
    14761410            VirtualNormalVector.ProjectOntoPlane(&NormalVector);
    14771411            TempAngle = VirtualNormalVector.Angle(&PropagationVector);
    1478             DoLog(2) && (Log() << Verbose(2) << "VirtualNormalVector is " << VirtualNormalVector << " and PropagationVector is " << PropagationVector << "." << endl);
    1479             if (TempAngle > (M_PI / 2.)) { // no bends bigger than Pi/2 (90 degrees)
    1480               DoLog(2) && (Log() << Verbose(2) << "Angle on triangle plane between propagation direction and base line to " << *(target->second) << " is " << TempAngle << ", bad direction!" << endl);
     1412            Log() << Verbose(2) << "VirtualNormalVector is " << VirtualNormalVector << " and PropagationVector is " << PropagationVector << "." << endl;
     1413            if (TempAngle > (M_PI/2.)) { // no bends bigger than Pi/2 (90 degrees)
     1414              Log() << Verbose(2) << "Angle on triangle plane between propagation direction and base line to " << *(target->second) << " is " << TempAngle << ", bad direction!" << endl;
    14811415              continue;
    14821416            } else
    1483               DoLog(2) && (Log() << Verbose(2) << "Angle on triangle plane between propagation direction and base line to " << *(target->second) << " is " << TempAngle << ", good direction!" << endl);
     1417              Log() << Verbose(2) << "Angle on triangle plane between propagation direction and base line to " << *(target->second) << " is " << TempAngle << ", good direction!" << endl;
    14841418
    14851419            // check first and second endpoint (if any connecting line goes to target has at least not more than 1 triangle)
     
    14871421            LineChecker[1] = baseline->second->endpoints[1]->lines.find(target->first);
    14881422            if (((LineChecker[0] != baseline->second->endpoints[0]->lines.end()) && (LineChecker[0]->second->triangles.size() == 2))) {
    1489               DoLog(2) && (Log() << Verbose(2) << *(baseline->second->endpoints[0]) << " has line " << *(LineChecker[0]->second) << " to " << *(target->second) << " as endpoint with " << LineChecker[0]->second->triangles.size() << " triangles." << endl);
     1423              Log() << Verbose(2) << *(baseline->second->endpoints[0]) << " has line " << *(LineChecker[0]->second) << " to " << *(target->second) << " as endpoint with " << LineChecker[0]->second->triangles.size() << " triangles." << endl;
    14901424              continue;
    14911425            }
    14921426            if (((LineChecker[1] != baseline->second->endpoints[1]->lines.end()) && (LineChecker[1]->second->triangles.size() == 2))) {
    1493               DoLog(2) && (Log() << Verbose(2) << *(baseline->second->endpoints[1]) << " has line " << *(LineChecker[1]->second) << " to " << *(target->second) << " as endpoint with " << LineChecker[1]->second->triangles.size() << " triangles." << endl);
     1427              Log() << Verbose(2) << *(baseline->second->endpoints[1]) << " has line " << *(LineChecker[1]->second) << " to " << *(target->second) << " as endpoint with " << LineChecker[1]->second->triangles.size() << " triangles." << endl;
    14941428              continue;
    14951429            }
     
    14971431            // check whether the envisaged triangle does not already exist (if both lines exist and have same endpoint)
    14981432            if ((((LineChecker[0] != baseline->second->endpoints[0]->lines.end()) && (LineChecker[1] != baseline->second->endpoints[1]->lines.end()) && (GetCommonEndpoint(LineChecker[0]->second, LineChecker[1]->second) == peak)))) {
    1499               DoLog(4) && (Log() << Verbose(4) << "Current target is peak!" << endl);
     1433              Log() << Verbose(4) << "Current target is peak!" << endl;
    15001434              continue;
    15011435            }
     
    15081442            helper.ProjectOntoPlane(&TempVector);
    15091443            if (fabs(helper.NormSquared()) < MYEPSILON) {
    1510               DoLog(2) && (Log() << Verbose(2) << "Chosen set of vectors is linear dependent." << endl);
     1444              Log() << Verbose(2) << "Chosen set of vectors is linear dependent." << endl;
    15111445              continue;
    15121446            }
     
    15181452            TempVector.AddVector(baseline->second->endpoints[1]->node->node);
    15191453            TempVector.AddVector(target->second->node->node);
    1520             TempVector.Scale(1. / 3.);
     1454            TempVector.Scale(1./3.);
    15211455            TempVector.SubtractVector(Center);
    15221456            // make it always point outward
     
    15251459            // calculate angle
    15261460            TempAngle = NormalVector.Angle(&VirtualNormalVector);
    1527             DoLog(2) && (Log() << Verbose(2) << "NormalVector is " << VirtualNormalVector << " and the angle is " << TempAngle << "." << endl);
     1461            Log() << Verbose(2) << "NormalVector is " << VirtualNormalVector << " and the angle is " << TempAngle << "." << endl;
    15281462            if ((SmallestAngle - TempAngle) > MYEPSILON) { // set to new possible winner
    15291463              SmallestAngle = TempAngle;
    15301464              winner = target;
    1531               DoLog(2) && (Log() << Verbose(2) << "New winner " << *winner->second->node << " due to smaller angle between normal vectors." << endl);
     1465              Log() << Verbose(2) << "New winner " << *winner->second->node << " due to smaller angle between normal vectors." << endl;
    15321466            } else if (fabs(SmallestAngle - TempAngle) < MYEPSILON) { // check the angle to propagation, both possible targets are in one plane! (their normals have same angle)
    15331467              // hence, check the angles to some normal direction from our base line but in this common plane of both targets...
     
    15471481                SmallestAngle = TempAngle;
    15481482                winner = target;
    1549                 DoLog(2) && (Log() << Verbose(2) << "New winner " << *winner->second->node << " due to smaller angle " << TempAngle << " to propagation direction." << endl);
     1483                Log() << Verbose(2) << "New winner " << *winner->second->node << " due to smaller angle " << TempAngle << " to propagation direction." << endl;
    15501484              } else
    1551                 DoLog(2) && (Log() << Verbose(2) << "Keeping old winner " << *winner->second->node << " due to smaller angle to propagation direction." << endl);
     1485                Log() << Verbose(2) << "Keeping old winner " << *winner->second->node << " due to smaller angle to propagation direction." << endl;
    15521486            } else
    1553               DoLog(2) && (Log() << Verbose(2) << "Keeping old winner " << *winner->second->node << " due to smaller angle between normal vectors." << endl);
     1487              Log() << Verbose(2) << "Keeping old winner " << *winner->second->node << " due to smaller angle between normal vectors." << endl;
    15541488          }
    15551489        } // end of loop over all boundary points
     
    15571491        // 5b. The point of the above whose triangle has the greatest angle with the triangle the current line belongs to (it only belongs to one, remember!): New triangle
    15581492        if (winner != PointsOnBoundary.end()) {
    1559           DoLog(0) && (Log() << Verbose(0) << "Winning target point is " << *(winner->second) << " with angle " << SmallestAngle << "." << endl);
     1493          Log() << Verbose(0) << "Winning target point is " << *(winner->second) << " with angle " << SmallestAngle << "." << endl;
    15601494          // create the lins of not yet present
    15611495          BLS[0] = baseline->second;
     
    15871521          TrianglesOnBoundaryCount++;
    15881522        } else {
    1589           DoeLog(2) && (eLog() << Verbose(2) << "I could not determine a winner for this baseline " << *(baseline->second) << "." << endl);
     1523          eLog() << Verbose(2) << "I could not determine a winner for this baseline " << *(baseline->second) << "." << endl;
    15901524        }
    15911525
    15921526        // 5d. If the set of lines is not yet empty, go to 5. and continue
    15931527      } else
    1594         DoLog(0) && (Log() << Verbose(0) << "Baseline candidate " << *(baseline->second) << " has a triangle count of " << baseline->second->triangles.size() << "." << endl);
     1528        Log() << Verbose(0) << "Baseline candidate " << *(baseline->second) << " has a triangle count of " << baseline->second->triangles.size() << "." << endl;
    15951529  } while (flag);
    15961530
    15971531  // exit
    1598   delete (Center);
    1599 }
    1600 ;
     1532  delete(Center);
     1533};
    16011534
    16021535/** Inserts all points outside of the tesselated surface into it by adding new triangles.
     
    16081541bool Tesselation::InsertStraddlingPoints(const PointCloud *cloud, const LinkedCell *LC)
    16091542{
    1610   Info FunctionInfo(__func__);
     1543        Info FunctionInfo(__func__);
    16111544  Vector Intersection, Normal;
    16121545  TesselPoint *Walker = NULL;
     
    16181551  cloud->GoToFirst();
    16191552  BoundaryPoints = new LinkedCell(this, 5.);
    1620   while (!cloud->IsEnd()) { // we only have to go once through all points, as boundary can become only bigger
     1553  while (!cloud->IsEnd()) {  // we only have to go once through all points, as boundary can become only bigger
    16211554    if (AddFlag) {
    1622       delete (BoundaryPoints);
     1555      delete(BoundaryPoints);
    16231556      BoundaryPoints = new LinkedCell(this, 5.);
    16241557      AddFlag = false;
    16251558    }
    16261559    Walker = cloud->GetPoint();
    1627     DoLog(0) && (Log() << Verbose(0) << "Current point is " << *Walker << "." << endl);
     1560    Log() << Verbose(0) << "Current point is " << *Walker << "." << endl;
    16281561    // get the next triangle
    16291562    triangles = FindClosestTrianglesToVector(Walker->node, BoundaryPoints);
    16301563    BTS = triangles->front();
    16311564    if ((triangles == NULL) || (BTS->ContainsBoundaryPoint(Walker))) {
    1632       DoLog(0) && (Log() << Verbose(0) << "No triangles found, probably a tesselation point itself." << endl);
     1565      Log() << Verbose(0) << "No triangles found, probably a tesselation point itself." << endl;
    16331566      cloud->GoToNext();
    16341567      continue;
    16351568    } else {
    16361569    }
    1637     DoLog(0) && (Log() << Verbose(0) << "Closest triangle is " << *BTS << "." << endl);
     1570    Log() << Verbose(0) << "Closest triangle is " << *BTS << "." << endl;
    16381571    // get the intersection point
    16391572    if (BTS->GetIntersectionInsideTriangle(Center, Walker->node, &Intersection)) {
    1640       DoLog(0) && (Log() << Verbose(0) << "We have an intersection at " << Intersection << "." << endl);
     1573      Log() << Verbose(0) << "We have an intersection at " << Intersection << "." << endl;
    16411574      // we have the intersection, check whether in- or outside of boundary
    16421575      if ((Center->DistanceSquared(Walker->node) - Center->DistanceSquared(&Intersection)) < -MYEPSILON) {
    16431576        // inside, next!
    1644         DoLog(0) && (Log() << Verbose(0) << *Walker << " is inside wrt triangle " << *BTS << "." << endl);
     1577        Log() << Verbose(0) << *Walker << " is inside wrt triangle " << *BTS << "." << endl;
    16451578      } else {
    16461579        // outside!
    1647         DoLog(0) && (Log() << Verbose(0) << *Walker << " is outside wrt triangle " << *BTS << "." << endl);
     1580        Log() << Verbose(0) << *Walker << " is outside wrt triangle " << *BTS << "." << endl;
    16481581        class BoundaryLineSet *OldLines[3], *NewLines[3];
    16491582        class BoundaryPointSet *OldPoints[3], *NewPoint;
    16501583        // store the three old lines and old points
    1651         for (int i = 0; i < 3; i++) {
     1584        for (int i=0;i<3;i++) {
    16521585          OldLines[i] = BTS->lines[i];
    16531586          OldPoints[i] = BTS->endpoints[i];
     
    16551588        Normal.CopyVector(&BTS->NormalVector);
    16561589        // add Walker to boundary points
    1657         DoLog(0) && (Log() << Verbose(0) << "Adding " << *Walker << " to BoundaryPoints." << endl);
     1590        Log() << Verbose(0) << "Adding " << *Walker << " to BoundaryPoints." << endl;
    16581591        AddFlag = true;
    1659         if (AddBoundaryPoint(Walker, 0))
     1592        if (AddBoundaryPoint(Walker,0))
    16601593          NewPoint = BPS[0];
    16611594        else
    16621595          continue;
    16631596        // remove triangle
    1664         DoLog(0) && (Log() << Verbose(0) << "Erasing triangle " << *BTS << "." << endl);
     1597        Log() << Verbose(0) << "Erasing triangle " << *BTS << "." << endl;
    16651598        TrianglesOnBoundary.erase(BTS->Nr);
    1666         delete (BTS);
     1599        delete(BTS);
    16671600        // create three new boundary lines
    1668         for (int i = 0; i < 3; i++) {
     1601        for (int i=0;i<3;i++) {
    16691602          BPS[0] = NewPoint;
    16701603          BPS[1] = OldPoints[i];
    16711604          NewLines[i] = new class BoundaryLineSet(BPS, LinesOnBoundaryCount);
    1672           DoLog(1) && (Log() << Verbose(1) << "Creating new line " << *NewLines[i] << "." << endl);
     1605          Log() << Verbose(1) << "Creating new line " << *NewLines[i] << "." << endl;
    16731606          LinesOnBoundary.insert(LinePair(LinesOnBoundaryCount, NewLines[i])); // no need for check for unique insertion as BPS[0] is definitely a new one
    16741607          LinesOnBoundaryCount++;
    16751608        }
    16761609        // create three new triangle with new point
    1677         for (int i = 0; i < 3; i++) { // find all baselines
     1610        for (int i=0;i<3;i++) { // find all baselines
    16781611          BLS[0] = OldLines[i];
    16791612          int n = 1;
    1680           for (int j = 0; j < 3; j++) {
     1613          for (int j=0;j<3;j++) {
    16811614            if (NewLines[j]->IsConnectedTo(BLS[0])) {
    1682               if (n > 2) {
    1683                 DoeLog(2) && (eLog() << Verbose(2) << BLS[0] << " connects to all of the new lines?!" << endl);
     1615              if (n>2) {
     1616                eLog() << Verbose(2) << BLS[0] << " connects to all of the new lines?!" << endl;
    16841617                return false;
    16851618              } else
     
    16921625          BTS->GetNormalVector(Normal);
    16931626          Normal.Scale(-1.);
    1694           DoLog(0) && (Log() << Verbose(0) << "Created new triangle " << *BTS << "." << endl);
     1627          Log() << Verbose(0) << "Created new triangle " << *BTS << "." << endl;
    16951628          TrianglesOnBoundary.insert(TrianglePair(TrianglesOnBoundaryCount, BTS));
    16961629          TrianglesOnBoundaryCount++;
     
    16981631      }
    16991632    } else { // something is wrong with FindClosestTriangleToPoint!
    1700       DoeLog(1) && (eLog() << Verbose(1) << "The closest triangle did not produce an intersection!" << endl);
     1633      eLog() << Verbose(1) << "The closest triangle did not produce an intersection!" << endl;
    17011634      return false;
    17021635    }
     
    17051638
    17061639  // exit
    1707   delete (Center);
     1640  delete(Center);
    17081641  return true;
    1709 }
    1710 ;
     1642};
    17111643
    17121644/** Adds a point to the tesselation::PointsOnBoundary list.
     
    17171649bool Tesselation::AddBoundaryPoint(TesselPoint * Walker, const int n)
    17181650{
    1719   Info FunctionInfo(__func__);
     1651        Info FunctionInfo(__func__);
    17201652  PointTestPair InsertUnique;
    17211653  BPS[n] = new class BoundaryPointSet(Walker);
     
    17251657    return true;
    17261658  } else {
    1727     delete (BPS[n]);
     1659    delete(BPS[n]);
    17281660    BPS[n] = InsertUnique.first->second;
    17291661    return false;
     
    17391671void Tesselation::AddTesselationPoint(TesselPoint* Candidate, const int n)
    17401672{
    1741   Info FunctionInfo(__func__);
     1673        Info FunctionInfo(__func__);
    17421674  PointTestPair InsertUnique;
    17431675  TPS[n] = new class BoundaryPointSet(Candidate);
     
    17471679  } else {
    17481680    delete TPS[n];
    1749     DoLog(0) && (Log() << Verbose(0) << "Node " << *((InsertUnique.first)->second->node) << " is already present in PointsOnBoundary." << endl);
     1681    Log() << Verbose(0) << "Node " << *((InsertUnique.first)->second->node) << " is already present in PointsOnBoundary." << endl;
    17501682    TPS[n] = (InsertUnique.first)->second;
    17511683  }
     
    17601692void Tesselation::SetTesselationPoint(TesselPoint* Candidate, const int n) const
    17611693{
    1762   Info FunctionInfo(__func__);
     1694        Info FunctionInfo(__func__);
    17631695  PointMap::const_iterator FindPoint = PointsOnBoundary.find(Candidate->nr);
    17641696  if (FindPoint != PointsOnBoundary.end())
     
    17661698  else
    17671699    TPS[n] = NULL;
    1768 }
    1769 ;
     1700};
    17701701
    17711702/** Function tries to add line from current Points in BPS to BoundaryLineSet.
    17721703 * If successful it raises the line count and inserts the new line into the BLS,
    17731704 * if unsuccessful, it writes the line which had been present into the BLS, deleting the new constructed one.
    1774  * @param *OptCenter desired OptCenter if there are more than one candidate line
    1775  * @param *candidate third point of the triangle to be, for checking between multiple open line candidates
    17761705 * @param *a first endpoint
    17771706 * @param *b second endpoint
    17781707 * @param n index of Tesselation::BLS giving the line with both endpoints
    17791708 */
    1780 void Tesselation::AddTesselationLine(const Vector * const OptCenter, const BoundaryPointSet * const candidate, class BoundaryPointSet *a, class BoundaryPointSet *b, const int n)
    1781 {
     1709void Tesselation::AddTesselationLine(class BoundaryPointSet *a, class BoundaryPointSet *b, const int n) {
    17821710  bool insertNewLine = true;
     1711
    17831712  LineMap::iterator FindLine = a->lines.find(b->node->nr);
    1784   BoundaryLineSet *WinningLine = NULL;
    17851713  if (FindLine != a->lines.end()) {
    1786     DoLog(1) && (Log() << Verbose(1) << "INFO: There is at least one line between " << *a << " and " << *b << ": " << *(FindLine->second) << "." << endl);
    1787 
    1788     pair<LineMap::iterator, LineMap::iterator> FindPair;
     1714    Log() << Verbose(1) << "INFO: There is at least one line between " << *a << " and " << *b << ": " << *(FindLine->second) << "." << endl;
     1715
     1716    pair<LineMap::iterator,LineMap::iterator> FindPair;
    17891717    FindPair = a->lines.equal_range(b->node->nr);
    17901718
    1791     for (FindLine = FindPair.first; (FindLine != FindPair.second) && (insertNewLine); FindLine++) {
    1792       DoLog(1) && (Log() << Verbose(1) << "INFO: Checking line " << *(FindLine->second) << " ..." << endl);
     1719    for (FindLine = FindPair.first; FindLine != FindPair.second; FindLine++) {
    17931720      // If there is a line with less than two attached triangles, we don't need a new line.
    1794       if (FindLine->second->triangles.size() == 1) {
    1795         CandidateMap::iterator Finder = OpenLines.find(FindLine->second);
    1796         if (!Finder->second->pointlist.empty())
    1797           DoLog(1) && (Log() << Verbose(1) << "INFO: line " << *(FindLine->second) << " is open with candidate " << **(Finder->second->pointlist.begin()) << "." << endl);
    1798         else
    1799           DoLog(1) && (Log() << Verbose(1) << "INFO: line " << *(FindLine->second) << " is open with no candidate." << endl);
    1800         // get open line
    1801         for (TesselPointList::const_iterator CandidateChecker = Finder->second->pointlist.begin(); CandidateChecker != Finder->second->pointlist.end(); ++CandidateChecker) {
    1802           if ((*(CandidateChecker) == candidate->node) && (OptCenter == NULL || OptCenter->DistanceSquared(&Finder->second->OptCenter) < MYEPSILON )) { // stop searching if candidate matches
    1803             DoLog(1) && (Log() << Verbose(1) << "ACCEPT: Candidate " << *(*CandidateChecker) << " has the right center " << Finder->second->OptCenter << "." << endl);
    1804             insertNewLine = false;
    1805             WinningLine = FindLine->second;
    1806             break;
    1807           } else {
    1808             DoLog(1) && (Log() << Verbose(1) << "REJECT: Candidate " << *(*CandidateChecker) << "'s center " << Finder->second->OptCenter << " does not match desired on " << *OptCenter << "." << endl);
    1809           }
     1721      if (FindLine->second->triangles.size() < 2) {
     1722        insertNewLine = false;
     1723        Log() << Verbose(0) << "Using existing line " << *FindLine->second << endl;
     1724
     1725        BPS[0] = FindLine->second->endpoints[0];
     1726        BPS[1] = FindLine->second->endpoints[1];
     1727        BLS[n] = FindLine->second;
     1728
     1729        // remove existing line from OpenLines
     1730        CandidateMap::iterator CandidateLine = OpenLines.find(BLS[n]);
     1731        if (CandidateLine != OpenLines.end()) {
     1732          Log() << Verbose(1) << " Removing line from OpenLines." << endl;
     1733          delete(CandidateLine->second);
     1734          OpenLines.erase(CandidateLine);
     1735        } else {
     1736          eLog() << Verbose(1) << "Line exists and is attached to less than two triangles, but not in OpenLines!" << endl;
    18101737        }
     1738
     1739        break;
    18111740      }
    18121741    }
     
    18141743
    18151744  if (insertNewLine) {
    1816     AddNewTesselationTriangleLine(a, b, n);
    1817   } else {
    1818     AddExistingTesselationTriangleLine(WinningLine, n);
     1745    AlwaysAddTesselationTriangleLine(a, b, n);
    18191746  }
    18201747}
     
    18291756 * @param n index of Tesselation::BLS giving the line with both endpoints
    18301757 */
    1831 void Tesselation::AddNewTesselationTriangleLine(class BoundaryPointSet *a, class BoundaryPointSet *b, const int n)
    1832 {
    1833   Info FunctionInfo(__func__);
    1834   DoLog(0) && (Log() << Verbose(0) << "Adding open line [" << LinesOnBoundaryCount << "|" << *(a->node) << " and " << *(b->node) << "." << endl);
     1758void Tesselation::AlwaysAddTesselationTriangleLine(class BoundaryPointSet *a, class BoundaryPointSet *b, const int n)
     1759{
     1760        Info FunctionInfo(__func__);
     1761  Log() << Verbose(0) << "Adding open line [" << LinesOnBoundaryCount << "|" << *(a->node) << " and " << *(b->node) << "." << endl;
    18351762  BPS[0] = a;
    18361763  BPS[1] = b;
    1837   BLS[n] = new class BoundaryLineSet(BPS, LinesOnBoundaryCount); // this also adds the line to the local maps
     1764  BLS[n] = new class BoundaryLineSet(BPS, LinesOnBoundaryCount);  // this also adds the line to the local maps
    18381765  // add line to global map
    18391766  LinesOnBoundary.insert(LinePair(LinesOnBoundaryCount, BLS[n]));
     
    18421769  // also add to open lines
    18431770  CandidateForTesselation *CFT = new CandidateForTesselation(BLS[n]);
    1844   OpenLines.insert(pair<BoundaryLineSet *, CandidateForTesselation *> (BLS[n], CFT));
    1845 }
    1846 ;
    1847 
    1848 /** Uses an existing line for a new triangle.
    1849  * Sets Tesselation::BLS[\a n] and removes the lines from Tesselation::OpenLines.
    1850  * \param *FindLine the line to add
    1851  * \param n index of the line to set in Tesselation::BLS
    1852  */
    1853 void Tesselation::AddExistingTesselationTriangleLine(class BoundaryLineSet *Line, int n)
    1854 {
    1855   Info FunctionInfo(__func__);
    1856   DoLog(0) && (Log() << Verbose(0) << "Using existing line " << *Line << endl);
    1857 
    1858   // set endpoints and line
    1859   BPS[0] = Line->endpoints[0];
    1860   BPS[1] = Line->endpoints[1];
    1861   BLS[n] = Line;
    1862   // remove existing line from OpenLines
    1863   CandidateMap::iterator CandidateLine = OpenLines.find(BLS[n]);
    1864   if (CandidateLine != OpenLines.end()) {
    1865     DoLog(1) && (Log() << Verbose(1) << " Removing line from OpenLines." << endl);
    1866     delete (CandidateLine->second);
    1867     OpenLines.erase(CandidateLine);
    1868   } else {
    1869     DoeLog(1) && (eLog() << Verbose(1) << "Line exists and is attached to less than two triangles, but not in OpenLines!" << endl);
    1870   }
    1871 }
    1872 ;
     1771  OpenLines.insert(pair< BoundaryLineSet *, CandidateForTesselation *> (BLS[n], CFT));
     1772};
    18731773
    18741774/** Function adds triangle to global list.
     
    18771777void Tesselation::AddTesselationTriangle()
    18781778{
    1879   Info FunctionInfo(__func__);
    1880   DoLog(1) && (Log() << Verbose(1) << "Adding triangle to global TrianglesOnBoundary map." << endl);
     1779        Info FunctionInfo(__func__);
     1780  Log() << Verbose(1) << "Adding triangle to global TrianglesOnBoundary map." << endl;
    18811781
    18821782  // add triangle to global map
     
    18881788
    18891789  // NOTE: add triangle to local maps is done in constructor of BoundaryTriangleSet
    1890 }
    1891 ;
     1790};
    18921791
    18931792/** Function adds triangle to global list.
     
    18971796void Tesselation::AddTesselationTriangle(const int nr)
    18981797{
    1899   Info FunctionInfo(__func__);
    1900   DoLog(0) && (Log() << Verbose(0) << "Adding triangle to global TrianglesOnBoundary map." << endl);
     1798        Info FunctionInfo(__func__);
     1799  Log() << Verbose(0) << "Adding triangle to global TrianglesOnBoundary map." << endl;
    19011800
    19021801  // add triangle to global map
     
    19071806
    19081807  // NOTE: add triangle to local maps is done in constructor of BoundaryTriangleSet
    1909 }
    1910 ;
     1808};
    19111809
    19121810/** Removes a triangle from the tesselation.
     
    19171815void Tesselation::RemoveTesselationTriangle(class BoundaryTriangleSet *triangle)
    19181816{
    1919   Info FunctionInfo(__func__);
     1817        Info FunctionInfo(__func__);
    19201818  if (triangle == NULL)
    19211819    return;
    19221820  for (int i = 0; i < 3; i++) {
    19231821    if (triangle->lines[i] != NULL) {
    1924       DoLog(0) && (Log() << Verbose(0) << "Removing triangle Nr." << triangle->Nr << " in line " << *triangle->lines[i] << "." << endl);
     1822      Log() << Verbose(0) << "Removing triangle Nr." << triangle->Nr << " in line " << *triangle->lines[i] << "." << endl;
    19251823      triangle->lines[i]->triangles.erase(triangle->Nr);
    19261824      if (triangle->lines[i]->triangles.empty()) {
    1927         DoLog(0) && (Log() << Verbose(0) << *triangle->lines[i] << " is no more attached to any triangle, erasing." << endl);
    1928         RemoveTesselationLine(triangle->lines[i]);
     1825          Log() << Verbose(0) << *triangle->lines[i] << " is no more attached to any triangle, erasing." << endl;
     1826          RemoveTesselationLine(triangle->lines[i]);
    19291827      } else {
    1930         DoLog(0) && (Log() << Verbose(0) << *triangle->lines[i] << " is still attached to another triangle: ");
    1931         OpenLines.insert(pair<BoundaryLineSet *, CandidateForTesselation *> (triangle->lines[i], NULL));
    1932         for (TriangleMap::iterator TriangleRunner = triangle->lines[i]->triangles.begin(); TriangleRunner != triangle->lines[i]->triangles.end(); TriangleRunner++)
    1933           DoLog(0) && (Log() << Verbose(0) << "[" << (TriangleRunner->second)->Nr << "|" << *((TriangleRunner->second)->endpoints[0]) << ", " << *((TriangleRunner->second)->endpoints[1]) << ", " << *((TriangleRunner->second)->endpoints[2]) << "] \t");
    1934         DoLog(0) && (Log() << Verbose(0) << endl);
    1935         //        for (int j=0;j<2;j++) {
    1936         //          Log() << Verbose(0) << "Lines of endpoint " << *(triangle->lines[i]->endpoints[j]) << ": ";
    1937         //          for(LineMap::iterator LineRunner = triangle->lines[i]->endpoints[j]->lines.begin(); LineRunner != triangle->lines[i]->endpoints[j]->lines.end(); LineRunner++)
    1938         //            Log() << Verbose(0) << "[" << *(LineRunner->second) << "] \t";
    1939         //          Log() << Verbose(0) << endl;
    1940         //        }
     1828        Log() << Verbose(0) << *triangle->lines[i] << " is still attached to another triangle: ";
     1829        OpenLines.insert(pair< BoundaryLineSet *, CandidateForTesselation *> (triangle->lines[i], NULL));
     1830        for(TriangleMap::iterator TriangleRunner = triangle->lines[i]->triangles.begin(); TriangleRunner != triangle->lines[i]->triangles.end(); TriangleRunner++)
     1831          Log() << Verbose(0) << "[" << (TriangleRunner->second)->Nr << "|" << *((TriangleRunner->second)->endpoints[0]) << ", " << *((TriangleRunner->second)->endpoints[1]) << ", " << *((TriangleRunner->second)->endpoints[2]) << "] \t";
     1832        Log() << Verbose(0) << endl;
     1833//        for (int j=0;j<2;j++) {
     1834//          Log() << Verbose(0) << "Lines of endpoint " << *(triangle->lines[i]->endpoints[j]) << ": ";
     1835//          for(LineMap::iterator LineRunner = triangle->lines[i]->endpoints[j]->lines.begin(); LineRunner != triangle->lines[i]->endpoints[j]->lines.end(); LineRunner++)
     1836//            Log() << Verbose(0) << "[" << *(LineRunner->second) << "] \t";
     1837//          Log() << Verbose(0) << endl;
     1838//        }
    19411839      }
    1942       triangle->lines[i] = NULL; // free'd or not: disconnect
     1840      triangle->lines[i] = NULL;  // free'd or not: disconnect
    19431841    } else
    1944       DoeLog(1) && (eLog() << Verbose(1) << "This line " << i << " has already been free'd." << endl);
     1842      eLog() << Verbose(1) << "This line " << i << " has already been free'd." << endl;
    19451843  }
    19461844
    19471845  if (TrianglesOnBoundary.erase(triangle->Nr))
    1948     DoLog(0) && (Log() << Verbose(0) << "Removing triangle Nr. " << triangle->Nr << "." << endl);
    1949   delete (triangle);
    1950 }
    1951 ;
     1846    Log() << Verbose(0) << "Removing triangle Nr. " << triangle->Nr << "." << endl;
     1847  delete(triangle);
     1848};
    19521849
    19531850/** Removes a line from the tesselation.
     
    19571854void Tesselation::RemoveTesselationLine(class BoundaryLineSet *line)
    19581855{
    1959   Info FunctionInfo(__func__);
     1856        Info FunctionInfo(__func__);
    19601857  int Numbers[2];
    19611858
     
    19781875        for (LineMap::iterator Runner = erasor.first; Runner != erasor.second; Runner++)
    19791876          if ((*Runner).second == line) {
    1980             DoLog(0) && (Log() << Verbose(0) << "Removing Line Nr. " << line->Nr << " in boundary point " << *line->endpoints[i] << "." << endl);
     1877            Log() << Verbose(0) << "Removing Line Nr. " << line->Nr << " in boundary point " << *line->endpoints[i] << "." << endl;
    19811878            line->endpoints[i]->lines.erase(Runner);
    19821879            break;
     
    19841881      } else { // there's just a single line left
    19851882        if (line->endpoints[i]->lines.erase(line->Nr))
    1986           DoLog(0) && (Log() << Verbose(0) << "Removing Line Nr. " << line->Nr << " in boundary point " << *line->endpoints[i] << "." << endl);
     1883          Log() << Verbose(0) << "Removing Line Nr. " << line->Nr << " in boundary point " << *line->endpoints[i] << "." << endl;
    19871884      }
    19881885      if (line->endpoints[i]->lines.empty()) {
    1989         DoLog(0) && (Log() << Verbose(0) << *line->endpoints[i] << " has no more lines it's attached to, erasing." << endl);
     1886        Log() << Verbose(0) << *line->endpoints[i] << " has no more lines it's attached to, erasing." << endl;
    19901887        RemoveTesselationPoint(line->endpoints[i]);
    19911888      } else {
    1992         DoLog(0) && (Log() << Verbose(0) << *line->endpoints[i] << " has still lines it's attached to: ");
    1993         for (LineMap::iterator LineRunner = line->endpoints[i]->lines.begin(); LineRunner != line->endpoints[i]->lines.end(); LineRunner++)
    1994           DoLog(0) && (Log() << Verbose(0) << "[" << *(LineRunner->second) << "] \t");
    1995         DoLog(0) && (Log() << Verbose(0) << endl);
     1889        Log() << Verbose(0) << *line->endpoints[i] << " has still lines it's attached to: ";
     1890        for(LineMap::iterator LineRunner = line->endpoints[i]->lines.begin(); LineRunner != line->endpoints[i]->lines.end(); LineRunner++)
     1891          Log() << Verbose(0) << "[" << *(LineRunner->second) << "] \t";
     1892        Log() << Verbose(0) << endl;
    19961893      }
    1997       line->endpoints[i] = NULL; // free'd or not: disconnect
     1894      line->endpoints[i] = NULL;  // free'd or not: disconnect
    19981895    } else
    1999       DoeLog(1) && (eLog() << Verbose(1) << "Endpoint " << i << " has already been free'd." << endl);
     1896      eLog() << Verbose(1) << "Endpoint " << i << " has already been free'd." << endl;
    20001897  }
    20011898  if (!line->triangles.empty())
    2002     DoeLog(2) && (eLog() << Verbose(2) << "Memory Leak! I " << *line << " am still connected to some triangles." << endl);
     1899    eLog() << Verbose(2) << "Memory Leak! I " << *line << " am still connected to some triangles." << endl;
    20031900
    20041901  if (LinesOnBoundary.erase(line->Nr))
    2005     DoLog(0) && (Log() << Verbose(0) << "Removing line Nr. " << line->Nr << "." << endl);
    2006   delete (line);
    2007 }
    2008 ;
     1902    Log() << Verbose(0) << "Removing line Nr. " << line->Nr << "." << endl;
     1903  delete(line);
     1904};
    20091905
    20101906/** Removes a point from the tesselation.
     
    20151911void Tesselation::RemoveTesselationPoint(class BoundaryPointSet *point)
    20161912{
    2017   Info FunctionInfo(__func__);
     1913        Info FunctionInfo(__func__);
    20181914  if (point == NULL)
    20191915    return;
    20201916  if (PointsOnBoundary.erase(point->Nr))
    2021     DoLog(0) && (Log() << Verbose(0) << "Removing point Nr. " << point->Nr << "." << endl);
    2022   delete (point);
    2023 }
    2024 ;
    2025 
    2026 /** Checks validity of a given sphere of a candidate line.
    2027  * \sa CandidateForTesselation::CheckValidity(), which is more evolved.
    2028  * We check CandidateForTesselation::OtherOptCenter
    2029  * \param &CandidateLine contains other degenerated candidates which we have to subtract as well
    2030  * \param RADIUS radius of sphere
    2031  * \param *LC LinkedCell structure with other atoms
    2032  * \return true - candidate triangle is degenerated, false - candidate triangle is not degenerated
    2033  */
    2034 bool Tesselation::CheckDegeneracy(CandidateForTesselation &CandidateLine, const double RADIUS, const LinkedCell *LC) const
    2035 {
    2036   Info FunctionInfo(__func__);
    2037 
    2038   DoLog(1) && (Log() << Verbose(1) << "INFO: Checking whether sphere contains no others points ..." << endl);
    2039   bool flag = true;
    2040 
    2041   DoLog(1) && (Log() << Verbose(1) << "Check by: draw sphere {" << CandidateLine.OtherOptCenter.x[0] << " " << CandidateLine.OtherOptCenter.x[1] << " " << CandidateLine.OtherOptCenter.x[2] << "} radius " << RADIUS << " resolution 30" << endl);
    2042   // get all points inside the sphere
    2043   TesselPointList *ListofPoints = LC->GetPointsInsideSphere(RADIUS, &CandidateLine.OtherOptCenter);
    2044 
    2045   DoLog(1) && (Log() << Verbose(1) << "The following atoms are inside sphere at " << CandidateLine.OtherOptCenter << ":" << endl);
    2046   for (TesselPointList::const_iterator Runner = ListofPoints->begin(); Runner != ListofPoints->end(); ++Runner)
    2047     DoLog(1) && (Log() << Verbose(1) << "  " << *(*Runner) << " with distance " << (*Runner)->node->Distance(&CandidateLine.OtherOptCenter) << "." << endl);
    2048 
    2049   // remove triangles's endpoints
    2050   for (int i = 0; i < 2; i++)
    2051     ListofPoints->remove(CandidateLine.BaseLine->endpoints[i]->node);
    2052 
    2053   // remove other candidates
    2054   for (TesselPointList::const_iterator Runner = CandidateLine.pointlist.begin(); Runner != CandidateLine.pointlist.end(); ++Runner)
    2055     ListofPoints->remove(*Runner);
    2056 
    2057   // check for other points
    2058   if (!ListofPoints->empty()) {
    2059     DoLog(1) && (Log() << Verbose(1) << "CheckDegeneracy: There are still " << ListofPoints->size() << " points inside the sphere." << endl);
    2060     flag = false;
    2061     DoLog(1) && (Log() << Verbose(1) << "External atoms inside of sphere at " << CandidateLine.OtherOptCenter << ":" << endl);
    2062     for (TesselPointList::const_iterator Runner = ListofPoints->begin(); Runner != ListofPoints->end(); ++Runner)
    2063       DoLog(1) && (Log() << Verbose(1) << "  " << *(*Runner) << " with distance " << (*Runner)->node->Distance(&CandidateLine.OtherOptCenter) << "." << endl);
    2064   }
    2065   delete (ListofPoints);
    2066 
    2067   return flag;
    2068 }
    2069 ;
     1917    Log() << Verbose(0) << "Removing point Nr. " << point->Nr << "." << endl;
     1918  delete(point);
     1919};
    20701920
    20711921/** Checks whether the triangle consisting of the three points is already present.
     
    20801930int Tesselation::CheckPresenceOfTriangle(TesselPoint *Candidates[3]) const
    20811931{
    2082   Info FunctionInfo(__func__);
     1932        Info FunctionInfo(__func__);
    20831933  int adjacentTriangleCount = 0;
    20841934  class BoundaryPointSet *Points[3];
     
    21021952          for (; (FindLine != Points[i]->lines.end()) && (FindLine->first == Points[j]->node->nr); FindLine++) {
    21031953            TriangleMap *triangles = &FindLine->second->triangles;
    2104             DoLog(1) && (Log() << Verbose(1) << "Current line is " << FindLine->first << ": " << *(FindLine->second) << " with triangles " << triangles << "." << endl);
     1954            Log() << Verbose(1) << "Current line is " << FindLine->first << ": " << *(FindLine->second) << " with triangles " << triangles << "." << endl;
    21051955            for (TriangleMap::const_iterator FindTriangle = triangles->begin(); FindTriangle != triangles->end(); FindTriangle++) {
    21061956              if (FindTriangle->second->IsPresentTupel(Points)) {
     
    21081958              }
    21091959            }
    2110             DoLog(1) && (Log() << Verbose(1) << "end." << endl);
     1960            Log() << Verbose(1) << "end." << endl;
    21111961          }
    21121962          // Only one of the triangle lines must be considered for the triangle count.
     
    21181968  }
    21191969
    2120   DoLog(0) && (Log() << Verbose(0) << "Found " << adjacentTriangleCount << " adjacent triangles for the point set." << endl);
     1970  Log() << Verbose(0) << "Found " << adjacentTriangleCount << " adjacent triangles for the point set." << endl;
    21211971  return adjacentTriangleCount;
    2122 }
    2123 ;
     1972};
    21241973
    21251974/** Checks whether the triangle consisting of the three points is already present.
     
    21331982class BoundaryTriangleSet * Tesselation::GetPresentTriangle(TesselPoint *Candidates[3])
    21341983{
    2135   Info FunctionInfo(__func__);
     1984        Info FunctionInfo(__func__);
    21361985  class BoundaryTriangleSet *triangle = NULL;
    21371986  class BoundaryPointSet *Points[3];
     
    21712020
    21722021  return triangle;
    2173 }
    2174 ;
     2022};
     2023
    21752024
    21762025/** Finds the starting triangle for FindNonConvexBorder().
     
    21812030 * \param RADIUS radius of virtual rolling sphere
    21822031 * \param *LC LinkedCell structure with neighbouring TesselPoint's
    2183  * \return true - a starting triangle has been created, false - no valid triple of points found
    2184  */
    2185 bool Tesselation::FindStartingTriangle(const double RADIUS, const LinkedCell *LC)
    2186 {
    2187   Info FunctionInfo(__func__);
     2032 */
     2033void Tesselation::FindStartingTriangle(const double RADIUS, const LinkedCell *LC)
     2034{
     2035        Info FunctionInfo(__func__);
    21882036  int i = 0;
    21892037  TesselPoint* MaxPoint[NDIM];
    21902038  TesselPoint* Temporary;
    21912039  double maxCoordinate[NDIM];
    2192   BoundaryLineSet *BaseLine = NULL;
     2040  BoundaryLineSet BaseLine;
    21932041  Vector helper;
    21942042  Vector Chord;
    21952043  Vector SearchDirection;
    2196   Vector CircleCenter; // center of the circle, i.e. of the band of sphere's centers
     2044  Vector CircleCenter;  // center of the circle, i.e. of the band of sphere's centers
    21972045  Vector CirclePlaneNormal; // normal vector defining the plane this circle lives in
    21982046  Vector SphereCenter;
     
    22072055
    22082056  // 1. searching topmost point with respect to each axis
    2209   for (int i = 0; i < NDIM; i++) { // each axis
    2210     LC->n[i] = LC->N[i] - 1; // current axis is topmost cell
    2211     for (LC->n[(i + 1) % NDIM] = 0; LC->n[(i + 1) % NDIM] < LC->N[(i + 1) % NDIM]; LC->n[(i + 1) % NDIM]++)
    2212       for (LC->n[(i + 2) % NDIM] = 0; LC->n[(i + 2) % NDIM] < LC->N[(i + 2) % NDIM]; LC->n[(i + 2) % NDIM]++) {
    2213         const LinkedCell::LinkedNodes *List = LC->GetCurrentCell();
     2057  for (int i=0;i<NDIM;i++) { // each axis
     2058    LC->n[i] = LC->N[i]-1; // current axis is topmost cell
     2059    for (LC->n[(i+1)%NDIM]=0;LC->n[(i+1)%NDIM]<LC->N[(i+1)%NDIM];LC->n[(i+1)%NDIM]++)
     2060      for (LC->n[(i+2)%NDIM]=0;LC->n[(i+2)%NDIM]<LC->N[(i+2)%NDIM];LC->n[(i+2)%NDIM]++) {
     2061        const LinkedNodes *List = LC->GetCurrentCell();
    22142062        //Log() << Verbose(1) << "Current cell is " << LC->n[0] << ", " << LC->n[1] << ", " << LC->n[2] << " with No. " << LC->index << "." << endl;
    22152063        if (List != NULL) {
    2216           for (LinkedCell::LinkedNodes::const_iterator Runner = List->begin(); Runner != List->end(); Runner++) {
     2064          for (LinkedNodes::const_iterator Runner = List->begin();Runner != List->end();Runner++) {
    22172065            if ((*Runner)->node->x[i] > maxCoordinate[i]) {
    2218               DoLog(1) && (Log() << Verbose(1) << "New maximal for axis " << i << " node is " << *(*Runner) << " at " << *(*Runner)->node << "." << endl);
     2066              Log() << Verbose(1) << "New maximal for axis " << i << " node is " << *(*Runner) << " at " << *(*Runner)->node << "." << endl;
    22192067              maxCoordinate[i] = (*Runner)->node->x[i];
    22202068              MaxPoint[i] = (*Runner);
     
    22222070          }
    22232071        } else {
    2224           DoeLog(1) && (eLog() << Verbose(1) << "The current cell " << LC->n[0] << "," << LC->n[1] << "," << LC->n[2] << " is invalid!" << endl);
     2072          eLog() << Verbose(1) << "The current cell " << LC->n[0] << "," << LC->n[1] << "," << LC->n[2] << " is invalid!" << endl;
    22252073        }
    22262074      }
    22272075  }
    22282076
    2229   DoLog(1) && (Log() << Verbose(1) << "Found maximum coordinates: ");
    2230   for (int i = 0; i < NDIM; i++)
    2231     DoLog(0) && (Log() << Verbose(0) << i << ": " << *MaxPoint[i] << "\t");
    2232   DoLog(0) && (Log() << Verbose(0) << endl);
     2077  Log() << Verbose(1) << "Found maximum coordinates: ";
     2078  for (int i=0;i<NDIM;i++)
     2079    Log() << Verbose(0) << i << ": " << *MaxPoint[i] << "\t";
     2080  Log() << Verbose(0) << endl;
    22332081
    22342082  BTS = NULL;
    2235   for (int k = 0; k < NDIM; k++) {
     2083  for (int k=0;k<NDIM;k++) {
    22362084    NormalVector.Zero();
    22372085    NormalVector.x[k] = 1.;
    2238     BaseLine = new BoundaryLineSet();
    2239     BaseLine->endpoints[0] = new BoundaryPointSet(MaxPoint[k]);
    2240     DoLog(0) && (Log() << Verbose(0) << "Coordinates of start node at " << *BaseLine->endpoints[0]->node << "." << endl);
     2086    BaseLine.endpoints[0] = new BoundaryPointSet(MaxPoint[k]);
     2087    Log() << Verbose(0) << "Coordinates of start node at " << *BaseLine.endpoints[0]->node << "." << endl;
    22412088
    22422089    double ShortestAngle;
    22432090    ShortestAngle = 999999.; // This will contain the angle, which will be always positive (when looking for second point), when looking for third point this will be the quadrant.
    22442091
    2245     Temporary = NULL;
    2246     FindSecondPointForTesselation(BaseLine->endpoints[0]->node, NormalVector, Temporary, &ShortestAngle, RADIUS, LC); // we give same point as next candidate as its bonds are looked into in find_second_...
    2247     if (Temporary == NULL) {
    2248       // have we found a second point?
    2249       delete BaseLine;
     2092    FindSecondPointForTesselation(BaseLine.endpoints[0]->node, NormalVector, Temporary, &ShortestAngle, RADIUS, LC); // we give same point as next candidate as its bonds are looked into in find_second_...
     2093    if (Temporary == NULL)  // have we found a second point?
    22502094      continue;
    2251     }
    2252     BaseLine->endpoints[1] = new BoundaryPointSet(Temporary);
     2095    BaseLine.endpoints[1] = new BoundaryPointSet(Temporary);
    22532096
    22542097    // construct center of circle
    2255     CircleCenter.CopyVector(BaseLine->endpoints[0]->node->node);
    2256     CircleCenter.AddVector(BaseLine->endpoints[1]->node->node);
     2098    CircleCenter.CopyVector(BaseLine.endpoints[0]->node->node);
     2099    CircleCenter.AddVector(BaseLine.endpoints[1]->node->node);
    22572100    CircleCenter.Scale(0.5);
    22582101
    22592102    // construct normal vector of circle
    2260     CirclePlaneNormal.CopyVector(BaseLine->endpoints[0]->node->node);
    2261     CirclePlaneNormal.SubtractVector(BaseLine->endpoints[1]->node->node);
     2103    CirclePlaneNormal.CopyVector(BaseLine.endpoints[0]->node->node);
     2104    CirclePlaneNormal.SubtractVector(BaseLine.endpoints[1]->node->node);
    22622105
    22632106    double radius = CirclePlaneNormal.NormSquared();
    2264     double CircleRadius = sqrt(RADIUS * RADIUS - radius / 4.);
     2107    double CircleRadius = sqrt(RADIUS*RADIUS - radius/4.);
    22652108
    22662109    NormalVector.ProjectOntoPlane(&CirclePlaneNormal);
    22672110    NormalVector.Normalize();
    2268     ShortestAngle = 2. * M_PI; // This will indicate the quadrant.
     2111    ShortestAngle = 2.*M_PI; // This will indicate the quadrant.
    22692112
    22702113    SphereCenter.CopyVector(&NormalVector);
     
    22742117
    22752118    // look in one direction of baseline for initial candidate
    2276     SearchDirection.MakeNormalVector(&CirclePlaneNormal, &NormalVector); // whether we look "left" first or "right" first is not important ...
     2119    SearchDirection.MakeNormalVector(&CirclePlaneNormal, &NormalVector);  // whether we look "left" first or "right" first is not important ...
    22772120
    22782121    // adding point 1 and point 2 and add the line between them
    2279     DoLog(0) && (Log() << Verbose(0) << "Coordinates of start node at " << *BaseLine->endpoints[0]->node << "." << endl);
    2280     DoLog(0) && (Log() << Verbose(0) << "Found second point is at " << *BaseLine->endpoints[1]->node << ".\n");
     2122    Log() << Verbose(0) << "Coordinates of start node at " << *BaseLine.endpoints[0]->node << "." << endl;
     2123    Log() << Verbose(0) << "Found second point is at " << *BaseLine.endpoints[1]->node << ".\n";
    22812124
    22822125    //Log() << Verbose(1) << "INFO: OldSphereCenter is at " << helper << ".\n";
    2283     CandidateForTesselation OptCandidates(BaseLine);
     2126    CandidateForTesselation OptCandidates(&BaseLine);
    22842127    FindThirdPointForTesselation(NormalVector, SearchDirection, SphereCenter, OptCandidates, NULL, RADIUS, LC);
    2285     DoLog(0) && (Log() << Verbose(0) << "List of third Points is:" << endl);
     2128    Log() << Verbose(0) << "List of third Points is:" << endl;
    22862129    for (TesselPointList::iterator it = OptCandidates.pointlist.begin(); it != OptCandidates.pointlist.end(); it++) {
    2287       DoLog(0) && (Log() << Verbose(0) << " " << *(*it) << endl);
    2288     }
    2289     if (!OptCandidates.pointlist.empty()) {
    2290       BTS = NULL;
    2291       AddCandidatePolygon(OptCandidates, RADIUS, LC);
    2292     } else {
    2293       delete BaseLine;
    2294       continue;
    2295     }
    2296 
    2297     if (BTS != NULL) { // we have created one starting triangle
    2298       delete BaseLine;
     2130        Log() << Verbose(0) << " " << *(*it) << endl;
     2131    }
     2132
     2133    BTS = NULL;
     2134    AddCandidateTriangle(OptCandidates);
     2135//    delete(BaseLine.endpoints[0]);
     2136//    delete(BaseLine.endpoints[1]);
     2137
     2138    if (BTS != NULL) // we have created one starting triangle
    22992139      break;
    2300     } else {
     2140    else {
    23012141      // remove all candidates from the list and then the list itself
    23022142      OptCandidates.pointlist.clear();
    23032143    }
    2304     delete BaseLine;
    2305   }
    2306 
    2307   return (BTS != NULL);
    2308 }
    2309 ;
     2144  }
     2145};
    23102146
    23112147/** Checks for a given baseline and a third point candidate whether baselines of the found triangle don't have even better candidates.
     
    23782214//            if (fabs(OldSphereCenter.ScalarProduct(&SearchDirection)) > HULLEPSILON) {
    23792215//              // rotated the wrong way!
    2380 //              DoeLog(1) && (eLog()<< Verbose(1) << "SearchDirection and RelativeOldSphereCenter are still not orthogonal!" << endl);
     2216//              eLog() << Verbose(1) << "SearchDirection and RelativeOldSphereCenter are still not orthogonal!" << endl;
    23812217//            }
    23822218//
     
    24352271//          }
    24362272//        } else {
    2437 //          DoeLog(2) && (eLog()<< Verbose(2) << "Baseline is connected to two triangles already?" << endl);
     2273//          eLog() << Verbose(2) << "Baseline is connected to two triangles already?" << endl;
    24382274//        }
    24392275//      } else {
     
    24422278//    }
    24432279//  } else {
    2444 //    DoeLog(1) && (eLog()<< Verbose(1) << "Could not find the TesselPoint " << *ThirdNode << "." << endl);
     2280//    eLog() << Verbose(1) << "Could not find the TesselPoint " << *ThirdNode << "." << endl;
    24452281//  }
    24462282//
     
    24562292 * @param *LC LinkedCell structure with neighbouring points
    24572293 */
    2458 bool Tesselation::FindNextSuitableTriangle(CandidateForTesselation &CandidateLine, const BoundaryTriangleSet &T, const double& RADIUS, const LinkedCell *LC)
    2459 {
    2460   Info FunctionInfo(__func__);
     2294bool Tesselation::FindNextSuitableTriangle(CandidateForTesselation &CandidateLine, BoundaryTriangleSet &T, const double& RADIUS, const LinkedCell *LC)
     2295{
     2296        Info FunctionInfo(__func__);
     2297  bool result = true;
     2298
    24612299  Vector CircleCenter;
    24622300  Vector CirclePlaneNormal;
     
    24642302  Vector SearchDirection;
    24652303  Vector helper;
    2466   BoundaryPointSet *ThirdPoint = NULL;
     2304  TesselPoint *ThirdNode = NULL;
    24672305  LineMap::iterator testline;
    24682306  double radius, CircleRadius;
    24692307
    2470   for (int i = 0; i < 3; i++)
    2471     if ((T.endpoints[i] != CandidateLine.BaseLine->endpoints[0]) && (T.endpoints[i] != CandidateLine.BaseLine->endpoints[1])) {
    2472       ThirdPoint = T.endpoints[i];
     2308  for (int i=0;i<3;i++)
     2309    if ((T.endpoints[i]->node != CandidateLine.BaseLine->endpoints[0]->node) && (T.endpoints[i]->node != CandidateLine.BaseLine->endpoints[1]->node)) {
     2310      ThirdNode = T.endpoints[i]->node;
    24732311      break;
    24742312    }
    2475   DoLog(0) && (Log() << Verbose(0) << "Current baseline is " << *CandidateLine.BaseLine << " with ThirdPoint " << *ThirdPoint << " of triangle " << T << "." << endl);
    2476 
    2477   CandidateLine.T = &T;
     2313  Log() << Verbose(0) << "Current baseline is " << *CandidateLine.BaseLine << " with ThirdNode " << *ThirdNode << " of triangle " << T << "." << endl;
    24782314
    24792315  // construct center of circle
     
    24882324  // calculate squared radius of circle
    24892325  radius = CirclePlaneNormal.ScalarProduct(&CirclePlaneNormal);
    2490   if (radius / 4. < RADIUS * RADIUS) {
     2326  if (radius/4. < RADIUS*RADIUS) {
    24912327    // construct relative sphere center with now known CircleCenter
    24922328    RelativeSphereCenter.CopyVector(&T.SphereCenter);
    24932329    RelativeSphereCenter.SubtractVector(&CircleCenter);
    24942330
    2495     CircleRadius = RADIUS * RADIUS - radius / 4.;
     2331    CircleRadius = RADIUS*RADIUS - radius/4.;
    24962332    CirclePlaneNormal.Normalize();
    2497     DoLog(1) && (Log() << Verbose(1) << "INFO: CircleCenter is at " << CircleCenter << ", CirclePlaneNormal is " << CirclePlaneNormal << " with circle radius " << sqrt(CircleRadius) << "." << endl);
    2498 
    2499     DoLog(1) && (Log() << Verbose(1) << "INFO: OldSphereCenter is at " << T.SphereCenter << "." << endl);
     2333    Log() << Verbose(1) << "INFO: CircleCenter is at " << CircleCenter << ", CirclePlaneNormal is " << CirclePlaneNormal << " with circle radius " << sqrt(CircleRadius) << "." << endl;
     2334
     2335    Log() << Verbose(1) << "INFO: OldSphereCenter is at " << T.SphereCenter << "." << endl;
    25002336
    25012337    // construct SearchDirection and an "outward pointer"
    25022338    SearchDirection.MakeNormalVector(&RelativeSphereCenter, &CirclePlaneNormal);
    25032339    helper.CopyVector(&CircleCenter);
    2504     helper.SubtractVector(ThirdPoint->node->node);
     2340    helper.SubtractVector(ThirdNode->node);
    25052341    if (helper.ScalarProduct(&SearchDirection) < -HULLEPSILON)// ohoh, SearchDirection points inwards!
    25062342      SearchDirection.Scale(-1.);
    2507     DoLog(1) && (Log() << Verbose(1) << "INFO: SearchDirection is " << SearchDirection << "." << endl);
     2343    Log() << Verbose(1) << "INFO: SearchDirection is " << SearchDirection << "." << endl;
    25082344    if (fabs(RelativeSphereCenter.ScalarProduct(&SearchDirection)) > HULLEPSILON) {
    25092345      // rotated the wrong way!
    2510       DoeLog(1) && (eLog() << Verbose(1) << "SearchDirection and RelativeOldSphereCenter are still not orthogonal!" << endl);
     2346      eLog() << Verbose(1) << "SearchDirection and RelativeOldSphereCenter are still not orthogonal!" << endl;
    25112347    }
    25122348
    25132349    // add third point
    2514     FindThirdPointForTesselation(T.NormalVector, SearchDirection, T.SphereCenter, CandidateLine, ThirdPoint, RADIUS, LC);
     2350    FindThirdPointForTesselation(T.NormalVector, SearchDirection, T.SphereCenter, CandidateLine, ThirdNode, RADIUS, LC);
    25152351
    25162352  } else {
    2517     DoLog(0) && (Log() << Verbose(0) << "Circumcircle for base line " << *CandidateLine.BaseLine << " and base triangle " << T << " is too big!" << endl);
     2353    Log() << Verbose(0) << "Circumcircle for base line " << *CandidateLine.BaseLine << " and base triangle " << T << " is too big!" << endl;
    25182354  }
    25192355
    25202356  if (CandidateLine.pointlist.empty()) {
    2521     DoeLog(2) && (eLog() << Verbose(2) << "Could not find a suitable candidate." << endl);
     2357    eLog() << Verbose(2) << "Could not find a suitable candidate." << endl;
    25222358    return false;
    25232359  }
    2524   DoLog(0) && (Log() << Verbose(0) << "Third Points are: " << endl);
     2360  Log() << Verbose(0) << "Third Points are: " << endl;
    25252361  for (TesselPointList::iterator it = CandidateLine.pointlist.begin(); it != CandidateLine.pointlist.end(); ++it) {
    2526     DoLog(0) && (Log() << Verbose(0) << " " << *(*it) << endl);
     2362    Log() << Verbose(0) << " " << *(*it) << endl;
    25272363  }
    25282364
    25292365  return true;
    2530 }
    2531 ;
    2532 
    2533 /** Walks through Tesselation::OpenLines() and finds candidates for newly created ones.
    2534  * \param *&LCList atoms in LinkedCell list
    2535  * \param RADIUS radius of the virtual sphere
    2536  * \return true - for all open lines without candidates so far, a candidate has been found,
    2537  *         false - at least one open line without candidate still
    2538  */
    2539 bool Tesselation::FindCandidatesforOpenLines(const double RADIUS, const LinkedCell *&LCList)
    2540 {
    2541   bool TesselationFailFlag = true;
    2542   CandidateForTesselation *baseline = NULL;
    2543   BoundaryTriangleSet *T = NULL;
    2544 
    2545   for (CandidateMap::iterator Runner = OpenLines.begin(); Runner != OpenLines.end(); Runner++) {
    2546     baseline = Runner->second;
    2547     if (baseline->pointlist.empty()) {
    2548       assert((baseline->BaseLine->triangles.size() == 1) && ("Open line without exactly one attached triangle"));
    2549       T = (((baseline->BaseLine->triangles.begin()))->second);
    2550       DoLog(1) && (Log() << Verbose(1) << "Finding best candidate for open line " << *baseline->BaseLine << " of triangle " << *T << endl);
    2551       TesselationFailFlag = TesselationFailFlag && FindNextSuitableTriangle(*baseline, *T, RADIUS, LCList); //the line is there, so there is a triangle, but only one.
    2552     }
    2553   }
    2554   return TesselationFailFlag;
    2555 }
    2556 ;
     2366
     2367//  BoundaryLineSet *BaseRay = CandidateLine.BaseLine;
     2368//  for (CandidateList::iterator it = OptCandidates->begin(); it != OptCandidates->end(); ++it) {
     2369//    Log() << Verbose(0) << "Third point candidate is " << *(*it)->point
     2370//    << " with circumsphere's center at " << (*it)->OptCenter << "." << endl;
     2371//    Log() << Verbose(0) << "Baseline is " << *BaseRay << endl;
     2372//
     2373//    // check whether all edges of the new triangle still have space for one more triangle (i.e. TriangleCount <2)
     2374//    TesselPoint *PointCandidates[3];
     2375//    PointCandidates[0] = (*it)->point;
     2376//    PointCandidates[1] = BaseRay->endpoints[0]->node;
     2377//    PointCandidates[2] = BaseRay->endpoints[1]->node;
     2378//    int existentTrianglesCount = CheckPresenceOfTriangle(PointCandidates);
     2379//
     2380//    BTS = NULL;
     2381//    // check for present edges and whether we reach better candidates from them
     2382//    //if (HasOtherBaselineBetterCandidate(BaseRay, (*it)->point, ShortestAngle, RADIUS, LC) ) {
     2383//    if (0) {
     2384//      result = false;
     2385//      break;
     2386//    } else {
     2387//      // If there is no triangle, add it regularly.
     2388//      if (existentTrianglesCount == 0) {
     2389//        AddTesselationPoint((*it)->point, 0);
     2390//        AddTesselationPoint(BaseRay->endpoints[0]->node, 1);
     2391//        AddTesselationPoint(BaseRay->endpoints[1]->node, 2);
     2392//
     2393//        if (CheckLineCriteriaForDegeneratedTriangle((const BoundaryPointSet ** const )TPS)) {
     2394//          CandidateLine.point = (*it)->point;
     2395//          CandidateLine.OptCenter.CopyVector(&((*it)->OptCenter));
     2396//          CandidateLine.OtherOptCenter.CopyVector(&((*it)->OtherOptCenter));
     2397//          CandidateLine.ShortestAngle = ShortestAngle;
     2398//        } else {
     2399////          eLog() << Verbose(1) << "This triangle consisting of ";
     2400////          Log() << Verbose(0) << *(*it)->point << ", ";
     2401////          Log() << Verbose(0) << *BaseRay->endpoints[0]->node << " and ";
     2402////          Log() << Verbose(0) << *BaseRay->endpoints[1]->node << " ";
     2403////          Log() << Verbose(0) << "exists and is not added, as it 0x80000000006fc150(does not seem helpful!" << endl;
     2404//          result = false;
     2405//        }
     2406//      } else if ((existentTrianglesCount >= 1) && (existentTrianglesCount <= 3)) { // If there is a planar region within the structure, we need this triangle a second time.
     2407//          AddTesselationPoint((*it)->point, 0);
     2408//          AddTesselationPoint(BaseRay->endpoints[0]->node, 1);
     2409//          AddTesselationPoint(BaseRay->endpoints[1]->node, 2);
     2410//
     2411//          // We demand that at most one new degenerate line is created and that this line also already exists (which has to be the case due to existentTrianglesCount == 1)
     2412//          // i.e. at least one of the three lines must be present with TriangleCount <= 1
     2413//          if (CheckLineCriteriaForDegeneratedTriangle((const BoundaryPointSet ** const)TPS) || CandidateLine.BaseLine->skipped) {
     2414//            CandidateLine.point = (*it)->point;
     2415//            CandidateLine.OptCenter.CopyVector(&(*it)->OptCenter);
     2416//            CandidateLine.OtherOptCenter.CopyVector(&(*it)->OtherOptCenter);
     2417//            CandidateLine.ShortestAngle = ShortestAngle+2.*M_PI;
     2418//
     2419//          } else {
     2420////            eLog() << Verbose(1) << "This triangle consisting of " << *(*it)->point << ", " << *BaseRay->endpoints[0]->node << " and " << *BaseRay->endpoints[1]->node << " " << "exists and is not added, as it does not seem helpful!" << endl;
     2421//            result = false;
     2422//          }
     2423//      } else {
     2424////        Log() << Verbose(1) << "This triangle consisting of ";
     2425////        Log() << Verbose(0) << *(*it)->point << ", ";
     2426////        Log() << Verbose(0) << *BaseRay->endpoints[0]->node << " and ";
     2427////        Log() << Verbose(0) << *BaseRay->endpoints[1]->node << " ";
     2428////        Log() << Verbose(0) << "is invalid!" << endl;
     2429//        result = false;
     2430//      }
     2431//    }
     2432//
     2433//    // set baseline to new ray from ref point (here endpoints[0]->node) to current candidate (here (*it)->point))
     2434//    BaseRay = BLS[0];
     2435//    if ((BTS != NULL) && (BTS->NormalVector.NormSquared() < MYEPSILON)) {
     2436//      eLog() << Verbose(1) << "Triangle " << *BTS << " has zero normal vector!" << endl;
     2437//      exit(255);
     2438//    }
     2439//
     2440//  }
     2441//
     2442//  // remove all candidates from the list and then the list itself
     2443//  class CandidateForTesselation *remover = NULL;
     2444//  for (CandidateList::iterator it = OptCandidates->begin(); it != OptCandidates->end(); ++it) {
     2445//    remover = *it;
     2446//    delete(remover);
     2447//  }
     2448//  delete(OptCandidates);
     2449  return result;
     2450};
    25572451
    25582452/** Adds the present line and candidate point from \a &CandidateLine to the Tesselation.
    25592453 * \param CandidateLine triangle to add
    2560  * \param RADIUS Radius of sphere
    2561  * \param *LC LinkedCell structure
    2562  * \NOTE we need the copy operator here as the original CandidateForTesselation is removed in
    2563  * AddTesselationLine() in AddCandidateTriangle()
    2564  */
    2565 void Tesselation::AddCandidatePolygon(CandidateForTesselation CandidateLine, const double RADIUS, const LinkedCell *LC)
    2566 {
    2567   Info FunctionInfo(__func__);
     2454 * \NOTE we need the copy operator here as the original CandidateForTesselation is removed in AddTesselationLine()
     2455 */
     2456void Tesselation::AddCandidateTriangle(CandidateForTesselation CandidateLine)
     2457{
     2458        Info FunctionInfo(__func__);
    25682459  Vector Center;
    25692460  TesselPoint * const TurningPoint = CandidateLine.BaseLine->endpoints[0]->node;
    2570   TesselPointList::iterator Runner;
    2571   TesselPointList::iterator Sprinter;
    25722461
    25732462  // fill the set of neighbours
     
    25782467  TesselPointList *connectedClosestPoints = GetCircleOfSetOfPoints(&SetOfNeighbours, TurningPoint, CandidateLine.BaseLine->endpoints[1]->node->node);
    25792468
    2580   DoLog(0) && (Log() << Verbose(0) << "List of Candidates for Turning Point " << *TurningPoint << ":" << endl);
     2469  // go through all angle-sorted candidates (in degenerate n-nodes case we may have to add multiple triangles)
     2470  Log() << Verbose(0) << "List of Candidates for Turning Point: " << *TurningPoint << "." << endl;
    25812471  for (TesselPointList::iterator TesselRunner = connectedClosestPoints->begin(); TesselRunner != connectedClosestPoints->end(); ++TesselRunner)
    2582     DoLog(0) && (Log() << Verbose(0) << " " << **TesselRunner << endl);
    2583 
    2584   // go through all angle-sorted candidates (in degenerate n-nodes case we may have to add multiple triangles)
    2585   Runner = connectedClosestPoints->begin();
    2586   Sprinter = Runner;
     2472    Log() << Verbose(0) << **TesselRunner << endl;
     2473  TesselPointList::iterator Runner = connectedClosestPoints->begin();
     2474  TesselPointList::iterator Sprinter = Runner;
    25872475  Sprinter++;
    2588   while (Sprinter != connectedClosestPoints->end()) {
    2589     DoLog(0) && (Log() << Verbose(0) << "Current Runner is " << *(*Runner) << " and sprinter is " << *(*Sprinter) << "." << endl);
    2590 
     2476  while(Sprinter != connectedClosestPoints->end()) {
     2477    // add the points
    25912478    AddTesselationPoint(TurningPoint, 0);
    2592     AddTesselationPoint(*Runner, 1);
    2593     AddTesselationPoint(*Sprinter, 2);
    2594 
    2595     AddCandidateTriangle(CandidateLine, Opt);
    2596 
     2479    AddTesselationPoint((*Runner), 1);
     2480    AddTesselationPoint((*Sprinter), 2);
     2481
     2482    // add the lines
     2483    AddTesselationLine(TPS[0], TPS[1], 0);
     2484    AddTesselationLine(TPS[0], TPS[2], 1);
     2485    AddTesselationLine(TPS[1], TPS[2], 2);
     2486
     2487    // add the triangles
     2488    BTS = new class BoundaryTriangleSet(BLS, TrianglesOnBoundaryCount);
     2489    AddTesselationTriangle();
     2490    BTS->GetCenter(&Center);
     2491    Center.SubtractVector(&CandidateLine.OptCenter);
     2492    BTS->SphereCenter.CopyVector(&CandidateLine.OptCenter);
     2493    BTS->GetNormalVector(Center);
     2494
     2495    Log() << Verbose(0) << "--> New triangle with " << *BTS << " and normal vector " << BTS->NormalVector << "." << endl;
    25972496    Runner = Sprinter;
    25982497    Sprinter++;
    2599     if (Sprinter != connectedClosestPoints->end()) {
    2600       // fill the internal open lines with its respective candidate (otherwise lines in degenerate case are not picked)
    2601       FindDegeneratedCandidatesforOpenLines(*Sprinter, &CandidateLine.OptCenter); // Assume BTS contains last triangle
    2602       DoLog(0) && (Log() << Verbose(0) << " There are still more triangles to add." << endl);
    2603     }
    2604     // pick candidates for other open lines as well
    2605     FindCandidatesforOpenLines(RADIUS, LC);
    2606 
    2607     // check whether we add a degenerate or a normal triangle
    2608     if (CheckDegeneracy(CandidateLine, RADIUS, LC)) {
    2609       // add normal and degenerate triangles
    2610       DoLog(1) && (Log() << Verbose(1) << "Triangle of endpoints " << *TPS[0] << "," << *TPS[1] << " and " << *TPS[2] << " is degenerated, adding both sides." << endl);
    2611       AddCandidateTriangle(CandidateLine, OtherOpt);
    2612 
    2613       if (Sprinter != connectedClosestPoints->end()) {
    2614         // fill the internal open lines with its respective candidate (otherwise lines in degenerate case are not picked)
    2615         FindDegeneratedCandidatesforOpenLines(*Sprinter, &CandidateLine.OtherOptCenter);
    2616       }
    2617       // pick candidates for other open lines as well
    2618       FindCandidatesforOpenLines(RADIUS, LC);
    2619     }
    2620   }
    2621   delete (connectedClosestPoints);
    2622 };
    2623 
    2624 /** for polygons (multiple candidates for a baseline) sets internal edges to the correct next candidate.
    2625  * \param *Sprinter next candidate to which internal open lines are set
    2626  * \param *OptCenter OptCenter for this candidate
    2627  */
    2628 void Tesselation::FindDegeneratedCandidatesforOpenLines(TesselPoint * const Sprinter, const Vector * const OptCenter)
    2629 {
    2630   Info FunctionInfo(__func__);
    2631 
    2632   pair<LineMap::iterator, LineMap::iterator> FindPair = TPS[0]->lines.equal_range(TPS[2]->node->nr);
    2633   for (LineMap::const_iterator FindLine = FindPair.first; FindLine != FindPair.second; FindLine++) {
    2634     DoLog(1) && (Log() << Verbose(1) << "INFO: Checking line " << *(FindLine->second) << " ..." << endl);
    2635     // If there is a line with less than two attached triangles, we don't need a new line.
    2636     if (FindLine->second->triangles.size() == 1) {
    2637       CandidateMap::iterator Finder = OpenLines.find(FindLine->second);
    2638       if (!Finder->second->pointlist.empty())
    2639         DoLog(1) && (Log() << Verbose(1) << "INFO: line " << *(FindLine->second) << " is open with candidate " << **(Finder->second->pointlist.begin()) << "." << endl);
    2640       else {
    2641         DoLog(1) && (Log() << Verbose(1) << "INFO: line " << *(FindLine->second) << " is open with no candidate, setting to next Sprinter" << (*Sprinter) << endl);
    2642         Finder->second->T = BTS;  // is last triangle
    2643         Finder->second->pointlist.push_back(Sprinter);
    2644         Finder->second->ShortestAngle = 0.;
    2645         Finder->second->OptCenter.CopyVector(OptCenter);
    2646       }
    2647     }
    2648   }
    2649 };
    2650 
    2651 /** If a given \a *triangle is degenerated, this adds both sides.
    2652  * i.e. the triangle with same BoundaryPointSet's but NormalVector in opposite direction.
    2653  * Note that endpoints are stored in Tesselation::TPS
    2654  * \param CandidateLine CanddiateForTesselation structure for the desired BoundaryLine
    2655  * \param RADIUS radius of sphere
    2656  * \param *LC pointer to LinkedCell structure
    2657  */
    2658 void Tesselation::AddDegeneratedTriangle(CandidateForTesselation &CandidateLine, const double RADIUS, const LinkedCell *LC)
    2659 {
    2660   Info FunctionInfo(__func__);
    2661   Vector Center;
    2662   CandidateMap::const_iterator CandidateCheck = OpenLines.end();
    2663   BoundaryTriangleSet *triangle = NULL;
    2664 
    2665   /// 1. Create or pick the lines for the first triangle
    2666   DoLog(0) && (Log() << Verbose(0) << "INFO: Creating/Picking lines for first triangle ..." << endl);
    2667   for (int i = 0; i < 3; i++) {
    2668     BLS[i] = NULL;
    2669     DoLog(0) && (Log() << Verbose(0) << "Current line is between " << *TPS[(i + 0) % 3] << " and " << *TPS[(i + 1) % 3] << ":" << endl);
    2670     AddTesselationLine(&CandidateLine.OptCenter, TPS[(i + 2) % 3], TPS[(i + 0) % 3], TPS[(i + 1) % 3], i);
    2671   }
    2672 
    2673   /// 2. create the first triangle and NormalVector and so on
    2674   DoLog(0) && (Log() << Verbose(0) << "INFO: Adding first triangle with center at " << CandidateLine.OptCenter << " ..." << endl);
    2675   BTS = new class BoundaryTriangleSet(BLS, TrianglesOnBoundaryCount);
    2676   AddTesselationTriangle();
    2677 
    2678   // create normal vector
    2679   BTS->GetCenter(&Center);
    2680   Center.SubtractVector(&CandidateLine.OptCenter);
    2681   BTS->SphereCenter.CopyVector(&CandidateLine.OptCenter);
    2682   BTS->GetNormalVector(Center);
    2683   // give some verbose output about the whole procedure
    2684   if (CandidateLine.T != NULL)
    2685     DoLog(0) && (Log() << Verbose(0) << "--> New triangle with " << *BTS << " and normal vector " << BTS->NormalVector << ", from " << *CandidateLine.T << " and angle " << CandidateLine.ShortestAngle << "." << endl);
    2686   else
    2687     DoLog(0) && (Log() << Verbose(0) << "--> New starting triangle with " << *BTS << " and normal vector " << BTS->NormalVector << " and no top triangle." << endl);
    2688   triangle = BTS;
    2689 
    2690   /// 3. Gather candidates for each new line
    2691   DoLog(0) && (Log() << Verbose(0) << "INFO: Adding candidates to new lines ..." << endl);
    2692   for (int i = 0; i < 3; i++) {
    2693     DoLog(0) && (Log() << Verbose(0) << "Current line is between " << *TPS[(i + 0) % 3] << " and " << *TPS[(i + 1) % 3] << ":" << endl);
    2694     CandidateCheck = OpenLines.find(BLS[i]);
    2695     if ((CandidateCheck != OpenLines.end()) && (CandidateCheck->second->pointlist.empty())) {
    2696       if (CandidateCheck->second->T == NULL)
    2697         CandidateCheck->second->T = triangle;
    2698       FindNextSuitableTriangle(*(CandidateCheck->second), *CandidateCheck->second->T, RADIUS, LC);
    2699     }
    2700   }
    2701 
    2702   /// 4. Create or pick the lines for the second triangle
    2703   DoLog(0) && (Log() << Verbose(0) << "INFO: Creating/Picking lines for second triangle ..." << endl);
    2704   for (int i = 0; i < 3; i++) {
    2705     DoLog(0) && (Log() << Verbose(0) << "Current line is between " << *TPS[(i + 0) % 3] << " and " << *TPS[(i + 1) % 3] << ":" << endl);
    2706     AddTesselationLine(&CandidateLine.OtherOptCenter, TPS[(i + 2) % 3], TPS[(i + 0) % 3], TPS[(i + 1) % 3], i);
    2707   }
    2708 
    2709   /// 5. create the second triangle and NormalVector and so on
    2710   DoLog(0) && (Log() << Verbose(0) << "INFO: Adding second triangle with center at " << CandidateLine.OtherOptCenter << " ..." << endl);
    2711   BTS = new class BoundaryTriangleSet(BLS, TrianglesOnBoundaryCount);
    2712   AddTesselationTriangle();
    2713 
    2714   BTS->SphereCenter.CopyVector(&CandidateLine.OtherOptCenter);
    2715   // create normal vector in other direction
    2716   BTS->GetNormalVector(&triangle->NormalVector);
    2717   BTS->NormalVector.Scale(-1.);
    2718   // give some verbose output about the whole procedure
    2719   if (CandidateLine.T != NULL)
    2720     DoLog(0) && (Log() << Verbose(0) << "--> New degenerate triangle with " << *BTS << " and normal vector " << BTS->NormalVector << ", from " << *CandidateLine.T << " and angle " << CandidateLine.ShortestAngle << "." << endl);
    2721   else
    2722     DoLog(0) && (Log() << Verbose(0) << "--> New degenerate starting triangle with " << *BTS << " and normal vector " << BTS->NormalVector << " and no top triangle." << endl);
    2723 
    2724   /// 6. Adding triangle to new lines
    2725   DoLog(0) && (Log() << Verbose(0) << "INFO: Adding second triangles to new lines ..." << endl);
    2726   for (int i = 0; i < 3; i++) {
    2727     DoLog(0) && (Log() << Verbose(0) << "Current line is between " << *TPS[(i + 0) % 3] << " and " << *TPS[(i + 1) % 3] << ":" << endl);
    2728     CandidateCheck = OpenLines.find(BLS[i]);
    2729     if ((CandidateCheck != OpenLines.end()) && (CandidateCheck->second->pointlist.empty())) {
    2730       if (CandidateCheck->second->T == NULL)
    2731         CandidateCheck->second->T = BTS;
    2732     }
    2733   }
    2734 }
    2735 ;
    2736 
    2737 /** Adds a triangle to the Tesselation structure from three given TesselPoint's.
    2738  * Note that endpoints are in Tesselation::TPS.
    2739  * \param CandidateLine CandidateForTesselation structure contains other information
    2740  * \param type which opt center to add (i.e. which side) and thus which NormalVector to take
    2741  */
    2742 void Tesselation::AddCandidateTriangle(CandidateForTesselation &CandidateLine, enum centers type)
    2743 {
    2744   Info FunctionInfo(__func__);
    2745   Vector Center;
    2746   Vector *OptCenter = (type == Opt) ? &CandidateLine.OptCenter : &CandidateLine.OtherOptCenter;
    2747 
    2748   // add the lines
    2749   AddTesselationLine(OptCenter, TPS[2], TPS[0], TPS[1], 0);
    2750   AddTesselationLine(OptCenter, TPS[1], TPS[0], TPS[2], 1);
    2751   AddTesselationLine(OptCenter, TPS[0], TPS[1], TPS[2], 2);
    2752 
    2753   // add the triangles
    2754   BTS = new class BoundaryTriangleSet(BLS, TrianglesOnBoundaryCount);
    2755   AddTesselationTriangle();
    2756 
    2757   // create normal vector
    2758   BTS->GetCenter(&Center);
    2759   Center.SubtractVector(OptCenter);
    2760   BTS->SphereCenter.CopyVector(OptCenter);
    2761   BTS->GetNormalVector(Center);
    2762 
    2763   // give some verbose output about the whole procedure
    2764   if (CandidateLine.T != NULL)
    2765     DoLog(0) && (Log() << Verbose(0) << "--> New" << ((type == OtherOpt) ? " degenerate " : " ") << "triangle with " << *BTS << " and normal vector " << BTS->NormalVector << ", from " << *CandidateLine.T << " and angle " << CandidateLine.ShortestAngle << "." << endl);
    2766   else
    2767     DoLog(0) && (Log() << Verbose(0) << "--> New" << ((type == OtherOpt) ? " degenerate " : " ") << "starting triangle with " << *BTS << " and normal vector " << BTS->NormalVector << " and no top triangle." << endl);
    2768 }
    2769 ;
     2498    Log() << Verbose(0) << "Current Runner is " << **Runner << "." << endl;
     2499    if (Sprinter != connectedClosestPoints->end())
     2500      Log() << Verbose(0) << " There are still more triangles to add." << endl;
     2501  }
     2502  delete(connectedClosestPoints);
     2503};
    27702504
    27712505/** Checks whether the quadragon of the two triangles connect to \a *Base is convex.
     
    27782512class BoundaryPointSet *Tesselation::IsConvexRectangle(class BoundaryLineSet *Base)
    27792513{
    2780   Info FunctionInfo(__func__);
     2514        Info FunctionInfo(__func__);
    27812515  class BoundaryPointSet *Spot = NULL;
    27822516  class BoundaryLineSet *OtherBase;
    27832517  Vector *ClosestPoint;
    27842518
    2785   int m = 0;
    2786   for (TriangleMap::iterator runner = Base->triangles.begin(); runner != Base->triangles.end(); runner++)
    2787     for (int j = 0; j < 3; j++) // all of their endpoints and baselines
     2519  int m=0;
     2520  for(TriangleMap::iterator runner = Base->triangles.begin(); runner != Base->triangles.end(); runner++)
     2521    for (int j=0;j<3;j++) // all of their endpoints and baselines
    27882522      if (!Base->ContainsBoundaryPoint(runner->second->endpoints[j])) // and neither of its endpoints
    27892523        BPS[m++] = runner->second->endpoints[j];
    2790   OtherBase = new class BoundaryLineSet(BPS, -1);
    2791 
    2792   DoLog(1) && (Log() << Verbose(1) << "INFO: Current base line is " << *Base << "." << endl);
    2793   DoLog(1) && (Log() << Verbose(1) << "INFO: Other base line is " << *OtherBase << "." << endl);
     2524  OtherBase = new class BoundaryLineSet(BPS,-1);
     2525
     2526  Log() << Verbose(1) << "INFO: Current base line is " << *Base << "." << endl;
     2527  Log() << Verbose(1) << "INFO: Other base line is " << *OtherBase << "." << endl;
    27942528
    27952529  // get the closest point on each line to the other line
     
    27972531
    27982532  // delete the temporary other base line
    2799   delete (OtherBase);
     2533  delete(OtherBase);
    28002534
    28012535  // get the distance vector from Base line to OtherBase line
     
    28042538  BaseLine.CopyVector(Base->endpoints[1]->node->node);
    28052539  BaseLine.SubtractVector(Base->endpoints[0]->node->node);
    2806   for (int i = 0; i < 2; i++) {
     2540  for (int i=0;i<2;i++) {
    28072541    DistanceToIntersection[i].CopyVector(ClosestPoint);
    28082542    DistanceToIntersection[i].SubtractVector(Base->endpoints[i]->node->node);
    28092543    distance[i] = BaseLine.ScalarProduct(&DistanceToIntersection[i]);
    28102544  }
    2811   delete (ClosestPoint);
    2812   if ((distance[0] * distance[1]) > 0) { // have same sign?
    2813     DoLog(1) && (Log() << Verbose(1) << "REJECT: Both SKPs have same sign: " << distance[0] << " and " << distance[1] << ". " << *Base << "' rectangle is concave." << endl);
     2545  delete(ClosestPoint);
     2546  if ((distance[0] * distance[1]) > 0)  { // have same sign?
     2547    Log() << Verbose(1) << "REJECT: Both SKPs have same sign: " << distance[0] << " and " << distance[1]  << ". " << *Base << "' rectangle is concave." << endl;
    28142548    if (distance[0] < distance[1]) {
    28152549      Spot = Base->endpoints[0];
     
    28182552    }
    28192553    return Spot;
    2820   } else { // different sign, i.e. we are in between
    2821     DoLog(0) && (Log() << Verbose(0) << "ACCEPT: Rectangle of triangles of base line " << *Base << " is convex." << endl);
     2554  } else {  // different sign, i.e. we are in between
     2555    Log() << Verbose(0) << "ACCEPT: Rectangle of triangles of base line " << *Base << " is convex." << endl;
    28222556    return NULL;
    28232557  }
    28242558
    2825 }
    2826 ;
     2559};
    28272560
    28282561void Tesselation::PrintAllBoundaryPoints(ofstream *out) const
    28292562{
    2830   Info FunctionInfo(__func__);
     2563        Info FunctionInfo(__func__);
    28312564  // print all lines
    2832   DoLog(0) && (Log() << Verbose(0) << "Printing all boundary points for debugging:" << endl);
    2833   for (PointMap::const_iterator PointRunner = PointsOnBoundary.begin(); PointRunner != PointsOnBoundary.end(); PointRunner++)
    2834     DoLog(0) && (Log() << Verbose(0) << *(PointRunner->second) << endl);
    2835 }
    2836 ;
     2565  Log() << Verbose(0) << "Printing all boundary points for debugging:" << endl;
     2566  for (PointMap::const_iterator PointRunner = PointsOnBoundary.begin();PointRunner != PointsOnBoundary.end(); PointRunner++)
     2567    Log() << Verbose(0) << *(PointRunner->second) << endl;
     2568};
    28372569
    28382570void Tesselation::PrintAllBoundaryLines(ofstream *out) const
    28392571{
    2840   Info FunctionInfo(__func__);
     2572        Info FunctionInfo(__func__);
    28412573  // print all lines
    2842   DoLog(0) && (Log() << Verbose(0) << "Printing all boundary lines for debugging:" << endl);
     2574  Log() << Verbose(0) << "Printing all boundary lines for debugging:" << endl;
    28432575  for (LineMap::const_iterator LineRunner = LinesOnBoundary.begin(); LineRunner != LinesOnBoundary.end(); LineRunner++)
    2844     DoLog(0) && (Log() << Verbose(0) << *(LineRunner->second) << endl);
    2845 }
    2846 ;
     2576    Log() << Verbose(0) << *(LineRunner->second) << endl;
     2577};
    28472578
    28482579void Tesselation::PrintAllBoundaryTriangles(ofstream *out) const
    28492580{
    2850   Info FunctionInfo(__func__);
     2581        Info FunctionInfo(__func__);
    28512582  // print all triangles
    2852   DoLog(0) && (Log() << Verbose(0) << "Printing all boundary triangles for debugging:" << endl);
     2583  Log() << Verbose(0) << "Printing all boundary triangles for debugging:" << endl;
    28532584  for (TriangleMap::const_iterator TriangleRunner = TrianglesOnBoundary.begin(); TriangleRunner != TrianglesOnBoundary.end(); TriangleRunner++)
    2854     DoLog(0) && (Log() << Verbose(0) << *(TriangleRunner->second) << endl);
    2855 }
    2856 ;
     2585    Log() << Verbose(0) << *(TriangleRunner->second) << endl;
     2586};
    28572587
    28582588/** For a given boundary line \a *Base and its two triangles, picks the central baseline that is "higher".
     
    28632593double Tesselation::PickFarthestofTwoBaselines(class BoundaryLineSet *Base)
    28642594{
    2865   Info FunctionInfo(__func__);
     2595        Info FunctionInfo(__func__);
    28662596  class BoundaryLineSet *OtherBase;
    28672597  Vector *ClosestPoint[2];
    28682598  double volume;
    28692599
    2870   int m = 0;
    2871   for (TriangleMap::iterator runner = Base->triangles.begin(); runner != Base->triangles.end(); runner++)
    2872     for (int j = 0; j < 3; j++) // all of their endpoints and baselines
     2600  int m=0;
     2601  for(TriangleMap::iterator runner = Base->triangles.begin(); runner != Base->triangles.end(); runner++)
     2602    for (int j=0;j<3;j++) // all of their endpoints and baselines
    28732603      if (!Base->ContainsBoundaryPoint(runner->second->endpoints[j])) // and neither of its endpoints
    28742604        BPS[m++] = runner->second->endpoints[j];
    2875   OtherBase = new class BoundaryLineSet(BPS, -1);
    2876 
    2877   DoLog(0) && (Log() << Verbose(0) << "INFO: Current base line is " << *Base << "." << endl);
    2878   DoLog(0) && (Log() << Verbose(0) << "INFO: Other base line is " << *OtherBase << "." << endl);
     2605  OtherBase = new class BoundaryLineSet(BPS,-1);
     2606
     2607  Log() << Verbose(0) << "INFO: Current base line is " << *Base << "." << endl;
     2608  Log() << Verbose(0) << "INFO: Other base line is " << *OtherBase << "." << endl;
    28792609
    28802610  // get the closest point on each line to the other line
     
    28912621
    28922622  // delete the temporary other base line and the closest points
    2893   delete (ClosestPoint[0]);
    2894   delete (ClosestPoint[1]);
    2895   delete (OtherBase);
     2623  delete(ClosestPoint[0]);
     2624  delete(ClosestPoint[1]);
     2625  delete(OtherBase);
    28962626
    28972627  if (Distance.NormSquared() < MYEPSILON) { // check for intersection
    2898     DoLog(0) && (Log() << Verbose(0) << "REJECT: Both lines have an intersection: Nothing to do." << endl);
     2628    Log() << Verbose(0) << "REJECT: Both lines have an intersection: Nothing to do." << endl;
    28992629    return false;
    29002630  } else { // check for sign against BaseLineNormal
     
    29022632    BaseLineNormal.Zero();
    29032633    if (Base->triangles.size() < 2) {
    2904       DoeLog(1) && (eLog() << Verbose(1) << "Less than two triangles are attached to this baseline!" << endl);
     2634      eLog() << Verbose(1) << "Less than two triangles are attached to this baseline!" << endl;
    29052635      return 0.;
    29062636    }
    29072637    for (TriangleMap::iterator runner = Base->triangles.begin(); runner != Base->triangles.end(); runner++) {
    2908       DoLog(1) && (Log() << Verbose(1) << "INFO: Adding NormalVector " << runner->second->NormalVector << " of triangle " << *(runner->second) << "." << endl);
     2638      Log() << Verbose(1) << "INFO: Adding NormalVector " << runner->second->NormalVector << " of triangle " << *(runner->second) << "." << endl;
    29092639      BaseLineNormal.AddVector(&(runner->second->NormalVector));
    29102640    }
    2911     BaseLineNormal.Scale(1. / 2.);
     2641    BaseLineNormal.Scale(1./2.);
    29122642
    29132643    if (Distance.ScalarProduct(&BaseLineNormal) > MYEPSILON) { // Distance points outwards, hence OtherBase higher than Base -> flip
    2914       DoLog(0) && (Log() << Verbose(0) << "ACCEPT: Other base line would be higher: Flipping baseline." << endl);
     2644      Log() << Verbose(0) << "ACCEPT: Other base line would be higher: Flipping baseline." << endl;
    29152645      // calculate volume summand as a general tetraeder
    29162646      return volume;
    2917     } else { // Base higher than OtherBase -> do nothing
    2918       DoLog(0) && (Log() << Verbose(0) << "REJECT: Base line is higher: Nothing to do." << endl);
     2647    } else {  // Base higher than OtherBase -> do nothing
     2648      Log() << Verbose(0) << "REJECT: Base line is higher: Nothing to do." << endl;
    29192649      return 0.;
    29202650    }
    29212651  }
    2922 }
    2923 ;
     2652};
    29242653
    29252654/** For a given baseline and its two connected triangles, flips the baseline.
     
    29322661class BoundaryLineSet * Tesselation::FlipBaseline(class BoundaryLineSet *Base)
    29332662{
    2934   Info FunctionInfo(__func__);
     2663        Info FunctionInfo(__func__);
    29352664  class BoundaryLineSet *OldLines[4], *NewLine;
    29362665  class BoundaryPointSet *OldPoints[2];
    29372666  Vector BaseLineNormal;
    29382667  int OldTriangleNrs[2], OldBaseLineNr;
    2939   int i, m;
     2668  int i,m;
    29402669
    29412670  // calculate NormalVector for later use
    29422671  BaseLineNormal.Zero();
    29432672  if (Base->triangles.size() < 2) {
    2944     DoeLog(1) && (eLog() << Verbose(1) << "Less than two triangles are attached to this baseline!" << endl);
     2673    eLog() << Verbose(1) << "Less than two triangles are attached to this baseline!" << endl;
    29452674    return NULL;
    29462675  }
    29472676  for (TriangleMap::iterator runner = Base->triangles.begin(); runner != Base->triangles.end(); runner++) {
    2948     DoLog(1) && (Log() << Verbose(1) << "INFO: Adding NormalVector " << runner->second->NormalVector << " of triangle " << *(runner->second) << "." << endl);
     2677    Log() << Verbose(1) << "INFO: Adding NormalVector " << runner->second->NormalVector << " of triangle " << *(runner->second) << "." << endl;
    29492678    BaseLineNormal.AddVector(&(runner->second->NormalVector));
    29502679  }
    2951   BaseLineNormal.Scale(-1. / 2.); // has to point inside for BoundaryTriangleSet::GetNormalVector()
     2680  BaseLineNormal.Scale(-1./2.); // has to point inside for BoundaryTriangleSet::GetNormalVector()
    29522681
    29532682  // get the two triangles
    29542683  // gather four endpoints and four lines
    2955   for (int j = 0; j < 4; j++)
     2684  for (int j=0;j<4;j++)
    29562685    OldLines[j] = NULL;
    2957   for (int j = 0; j < 2; j++)
     2686  for (int j=0;j<2;j++)
    29582687    OldPoints[j] = NULL;
    2959   i = 0;
    2960   m = 0;
    2961   DoLog(0) && (Log() << Verbose(0) << "The four old lines are: ");
    2962   for (TriangleMap::iterator runner = Base->triangles.begin(); runner != Base->triangles.end(); runner++)
    2963     for (int j = 0; j < 3; j++) // all of their endpoints and baselines
     2688  i=0;
     2689  m=0;
     2690  Log() << Verbose(0) << "The four old lines are: ";
     2691  for(TriangleMap::iterator runner = Base->triangles.begin(); runner != Base->triangles.end(); runner++)
     2692    for (int j=0;j<3;j++) // all of their endpoints and baselines
    29642693      if (runner->second->lines[j] != Base) { // pick not the central baseline
    29652694        OldLines[i++] = runner->second->lines[j];
    2966         DoLog(0) && (Log() << Verbose(0) << *runner->second->lines[j] << "\t");
     2695        Log() << Verbose(0) << *runner->second->lines[j] << "\t";
    29672696      }
    2968   DoLog(0) && (Log() << Verbose(0) << endl);
    2969   DoLog(0) && (Log() << Verbose(0) << "The two old points are: ");
    2970   for (TriangleMap::iterator runner = Base->triangles.begin(); runner != Base->triangles.end(); runner++)
    2971     for (int j = 0; j < 3; j++) // all of their endpoints and baselines
     2697  Log() << Verbose(0) << endl;
     2698  Log() << Verbose(0) << "The two old points are: ";
     2699  for(TriangleMap::iterator runner = Base->triangles.begin(); runner != Base->triangles.end(); runner++)
     2700    for (int j=0;j<3;j++) // all of their endpoints and baselines
    29722701      if (!Base->ContainsBoundaryPoint(runner->second->endpoints[j])) { // and neither of its endpoints
    29732702        OldPoints[m++] = runner->second->endpoints[j];
    2974         DoLog(0) && (Log() << Verbose(0) << *runner->second->endpoints[j] << "\t");
     2703        Log() << Verbose(0) << *runner->second->endpoints[j] << "\t";
    29752704      }
    2976   DoLog(0) && (Log() << Verbose(0) << endl);
     2705  Log() << Verbose(0) << endl;
    29772706
    29782707  // check whether everything is in place to create new lines and triangles
    2979   if (i < 4) {
    2980     DoeLog(1) && (eLog() << Verbose(1) << "We have not gathered enough baselines!" << endl);
     2708  if (i<4) {
     2709    eLog() << Verbose(1) << "We have not gathered enough baselines!" << endl;
    29812710    return NULL;
    29822711  }
    2983   for (int j = 0; j < 4; j++)
     2712  for (int j=0;j<4;j++)
    29842713    if (OldLines[j] == NULL) {
    2985       DoeLog(1) && (eLog() << Verbose(1) << "We have not gathered enough baselines!" << endl);
     2714      eLog() << Verbose(1) << "We have not gathered enough baselines!" << endl;
    29862715      return NULL;
    29872716    }
    2988   for (int j = 0; j < 2; j++)
     2717  for (int j=0;j<2;j++)
    29892718    if (OldPoints[j] == NULL) {
    2990       DoeLog(1) && (eLog() << Verbose(1) << "We have not gathered enough endpoints!" << endl);
     2719      eLog() << Verbose(1) << "We have not gathered enough endpoints!" << endl;
    29912720      return NULL;
    29922721    }
    29932722
    29942723  // remove triangles and baseline removes itself
    2995   DoLog(0) && (Log() << Verbose(0) << "INFO: Deleting baseline " << *Base << " from global list." << endl);
     2724  Log() << Verbose(0) << "INFO: Deleting baseline " << *Base << " from global list." << endl;
    29962725  OldBaseLineNr = Base->Nr;
    2997   m = 0;
    2998   for (TriangleMap::iterator runner = Base->triangles.begin(); runner != Base->triangles.end(); runner++) {
    2999     DoLog(0) && (Log() << Verbose(0) << "INFO: Deleting triangle " << *(runner->second) << "." << endl);
     2726  m=0;
     2727  for(TriangleMap::iterator runner = Base->triangles.begin(); runner != Base->triangles.end(); runner++) {
     2728    Log() << Verbose(0) << "INFO: Deleting triangle " << *(runner->second) << "." << endl;
    30002729    OldTriangleNrs[m++] = runner->second->Nr;
    30012730    RemoveTesselationTriangle(runner->second);
     
    30072736  NewLine = new class BoundaryLineSet(BPS, OldBaseLineNr);
    30082737  LinesOnBoundary.insert(LinePair(OldBaseLineNr, NewLine)); // no need for check for unique insertion as NewLine is definitely a new one
    3009   DoLog(0) && (Log() << Verbose(0) << "INFO: Created new baseline " << *NewLine << "." << endl);
     2738  Log() << Verbose(0) << "INFO: Created new baseline " << *NewLine << "." << endl;
    30102739
    30112740  // construct new triangles with flipped baseline
    3012   i = -1;
     2741  i=-1;
    30132742  if (OldLines[0]->IsConnectedTo(OldLines[2]))
    3014     i = 2;
     2743    i=2;
    30152744  if (OldLines[0]->IsConnectedTo(OldLines[3]))
    3016     i = 3;
    3017   if (i != -1) {
     2745    i=3;
     2746  if (i!=-1) {
    30182747    BLS[0] = OldLines[0];
    30192748    BLS[1] = OldLines[i];
     
    30222751    BTS->GetNormalVector(BaseLineNormal);
    30232752    AddTesselationTriangle(OldTriangleNrs[0]);
    3024     DoLog(0) && (Log() << Verbose(0) << "INFO: Created new triangle " << *BTS << "." << endl);
    3025 
    3026     BLS[0] = (i == 2 ? OldLines[3] : OldLines[2]);
     2753    Log() << Verbose(0) << "INFO: Created new triangle " << *BTS << "." << endl;
     2754
     2755    BLS[0] = (i==2 ? OldLines[3] : OldLines[2]);
    30272756    BLS[1] = OldLines[1];
    30282757    BLS[2] = NewLine;
     
    30302759    BTS->GetNormalVector(BaseLineNormal);
    30312760    AddTesselationTriangle(OldTriangleNrs[1]);
    3032     DoLog(0) && (Log() << Verbose(0) << "INFO: Created new triangle " << *BTS << "." << endl);
     2761    Log() << Verbose(0) << "INFO: Created new triangle " << *BTS << "." << endl;
    30332762  } else {
    3034     DoeLog(0) && (eLog() << Verbose(0) << "The four old lines do not connect, something's utterly wrong here!" << endl);
     2763    eLog() << Verbose(0) << "The four old lines do not connect, something's utterly wrong here!" << endl;
    30352764    return NULL;
    30362765  }
    30372766
    30382767  return NewLine;
    3039 }
    3040 ;
     2768};
     2769
    30412770
    30422771/** Finds the second point of starting triangle.
     
    30502779void Tesselation::FindSecondPointForTesselation(TesselPoint* a, Vector Oben, TesselPoint*& OptCandidate, double Storage[3], double RADIUS, const LinkedCell *LC)
    30512780{
    3052   Info FunctionInfo(__func__);
     2781        Info FunctionInfo(__func__);
    30532782  Vector AngleCheck;
    30542783  class TesselPoint* Candidate = NULL;
     
    30592788  int Nupper[NDIM];
    30602789
    3061   if (LC->SetIndexToNode(a)) { // get cell for the starting point
    3062     for (int i = 0; i < NDIM; i++) // store indices of this cell
     2790  if (LC->SetIndexToNode(a)) {  // get cell for the starting point
     2791    for(int i=0;i<NDIM;i++) // store indices of this cell
    30632792      N[i] = LC->n[i];
    30642793  } else {
    3065     DoeLog(1) && (eLog() << Verbose(1) << "Point " << *a << " is not found in cell " << LC->index << "." << endl);
     2794    eLog() << Verbose(1) << "Point " << *a << " is not found in cell " << LC->index << "." << endl;
    30662795    return;
    30672796  }
    30682797  // then go through the current and all neighbouring cells and check the contained points for possible candidates
    3069   for (int i = 0; i < NDIM; i++) {
    3070     Nlower[i] = ((N[i] - 1) >= 0) ? N[i] - 1 : 0;
    3071     Nupper[i] = ((N[i] + 1) < LC->N[i]) ? N[i] + 1 : LC->N[i] - 1;
    3072   }
    3073   DoLog(0) && (Log() << Verbose(0) << "LC Intervals from [" << N[0] << "<->" << LC->N[0] << ", " << N[1] << "<->" << LC->N[1] << ", " << N[2] << "<->" << LC->N[2] << "] :" << " [" << Nlower[0] << "," << Nupper[0] << "], " << " [" << Nlower[1] << "," << Nupper[1] << "], " << " [" << Nlower[2] << "," << Nupper[2] << "], " << endl);
     2798  for (int i=0;i<NDIM;i++) {
     2799    Nlower[i] = ((N[i]-1) >= 0) ? N[i]-1 : 0;
     2800    Nupper[i] = ((N[i]+1) < LC->N[i]) ? N[i]+1 : LC->N[i]-1;
     2801  }
     2802  Log() << Verbose(0) << "LC Intervals from [" << N[0] << "<->" << LC->N[0] << ", " << N[1] << "<->" << LC->N[1] << ", " << N[2] << "<->" << LC->N[2] << "] :"
     2803    << " [" << Nlower[0] << "," << Nupper[0] << "], " << " [" << Nlower[1] << "," << Nupper[1] << "], " << " [" << Nlower[2] << "," << Nupper[2] << "], " << endl;
    30742804
    30752805  for (LC->n[0] = Nlower[0]; LC->n[0] <= Nupper[0]; LC->n[0]++)
    30762806    for (LC->n[1] = Nlower[1]; LC->n[1] <= Nupper[1]; LC->n[1]++)
    30772807      for (LC->n[2] = Nlower[2]; LC->n[2] <= Nupper[2]; LC->n[2]++) {
    3078         const LinkedCell::LinkedNodes *List = LC->GetCurrentCell();
     2808        const LinkedNodes *List = LC->GetCurrentCell();
    30792809        //Log() << Verbose(1) << "Current cell is " << LC->n[0] << ", " << LC->n[1] << ", " << LC->n[2] << " with No. " << LC->index << "." << endl;
    30802810        if (List != NULL) {
    3081           for (LinkedCell::LinkedNodes::const_iterator Runner = List->begin(); Runner != List->end(); Runner++) {
     2811          for (LinkedNodes::const_iterator Runner = List->begin(); Runner != List->end(); Runner++) {
    30822812            Candidate = (*Runner);
    30832813            // check if we only have one unique point yet ...
     
    31052835              norm = aCandidate.Norm();
    31062836              // second point shall have smallest angle with respect to Oben vector
    3107               if (norm < RADIUS * 2.) {
     2837              if (norm < RADIUS*2.) {
    31082838                angle = AngleCheck.Angle(&Oben);
    31092839                if (angle < Storage[0]) {
    31102840                  //Log() << Verbose(1) << "Old values of Storage: %lf %lf \n", Storage[0], Storage[1]);
    3111                   DoLog(1) && (Log() << Verbose(1) << "Current candidate is " << *Candidate << ": Is a better candidate with distance " << norm << " and angle " << angle << " to oben " << Oben << ".\n");
     2841                  Log() << Verbose(1) << "Current candidate is " << *Candidate << ": Is a better candidate with distance " << norm << " and angle " << angle << " to oben " << Oben << ".\n";
    31122842                  OptCandidate = Candidate;
    31132843                  Storage[0] = angle;
     
    31242854          }
    31252855        } else {
    3126           DoLog(0) && (Log() << Verbose(0) << "Linked cell list is empty." << endl);
     2856          Log() << Verbose(0) << "Linked cell list is empty." << endl;
    31272857        }
    31282858      }
    3129 }
    3130 ;
     2859};
     2860
    31312861
    31322862/** This recursive function finds a third point, to form a triangle with two given ones.
     
    31562886 * @param OldSphereCenter center of sphere for base triangle, relative to center of BaseLine, giving null angle for the parameter circle
    31572887 * @param CandidateLine CandidateForTesselation with the current base line and list of candidates and ShortestAngle
    3158  * @param ThirdPoint third point to avoid in search
     2888 * @param ThirdNode third point to avoid in search
    31592889 * @param RADIUS radius of sphere
    31602890 * @param *LC LinkedCell structure with neighbouring points
    31612891 */
    3162 void Tesselation::FindThirdPointForTesselation(const Vector &NormalVector, const Vector &SearchDirection, const Vector &OldSphereCenter, CandidateForTesselation &CandidateLine, const class BoundaryPointSet * const ThirdPoint, const double RADIUS, const LinkedCell *LC) const
    3163 {
    3164   Info FunctionInfo(__func__);
    3165   Vector CircleCenter; // center of the circle, i.e. of the band of sphere's centers
     2892void Tesselation::FindThirdPointForTesselation(Vector &NormalVector, Vector &SearchDirection, Vector &OldSphereCenter, CandidateForTesselation &CandidateLine, const class TesselPoint  * const ThirdNode, const double RADIUS, const LinkedCell *LC) const
     2893{
     2894        Info FunctionInfo(__func__);
     2895  Vector CircleCenter;  // center of the circle, i.e. of the band of sphere's centers
    31662896  Vector CirclePlaneNormal; // normal vector defining the plane this circle lives in
    31672897  Vector SphereCenter;
    3168   Vector NewSphereCenter; // center of the sphere defined by the two points of BaseLine and the one of Candidate, first possibility
    3169   Vector OtherNewSphereCenter; // center of the sphere defined by the two points of BaseLine and the one of Candidate, second possibility
    3170   Vector NewNormalVector; // normal vector of the Candidate's triangle
     2898  Vector NewSphereCenter;   // center of the sphere defined by the two points of BaseLine and the one of Candidate, first possibility
     2899  Vector OtherNewSphereCenter;   // center of the sphere defined by the two points of BaseLine and the one of Candidate, second possibility
     2900  Vector NewNormalVector;   // normal vector of the Candidate's triangle
    31712901  Vector helper, OptCandidateCenter, OtherOptCandidateCenter;
    31722902  Vector RelativeOldSphereCenter;
     
    31792909  TesselPoint *Candidate = NULL;
    31802910
    3181   DoLog(1) && (Log() << Verbose(1) << "INFO: NormalVector of BaseTriangle is " << NormalVector << "." << endl);
    3182 
    3183   // copy old center
    3184   CandidateLine.OldCenter.CopyVector(&OldSphereCenter);
    3185   CandidateLine.ThirdPoint = ThirdPoint;
    3186   CandidateLine.pointlist.clear();
     2911  Log() << Verbose(1) << "INFO: NormalVector of BaseTriangle is " << NormalVector << "." << endl;
    31872912
    31882913  // construct center of circle
     
    31982923  RelativeOldSphereCenter.SubtractVector(&CircleCenter);
    31992924
    3200   // calculate squared radius TesselPoint *ThirdPoint,f circle
    3201   radius = CirclePlaneNormal.NormSquared() / 4.;
    3202   if (radius < RADIUS * RADIUS) {
    3203     CircleRadius = RADIUS * RADIUS - radius;
     2925  // calculate squared radius TesselPoint *ThirdNode,f circle
     2926  radius = CirclePlaneNormal.NormSquared()/4.;
     2927  if (radius < RADIUS*RADIUS) {
     2928    CircleRadius = RADIUS*RADIUS - radius;
    32042929    CirclePlaneNormal.Normalize();
    3205     DoLog(1) && (Log() << Verbose(1) << "INFO: CircleCenter is at " << CircleCenter << ", CirclePlaneNormal is " << CirclePlaneNormal << " with circle radius " << sqrt(CircleRadius) << "." << endl);
     2930    Log() << Verbose(1) << "INFO: CircleCenter is at " << CircleCenter << ", CirclePlaneNormal is " << CirclePlaneNormal << " with circle radius " << sqrt(CircleRadius) << "." << endl;
    32062931
    32072932    // test whether old center is on the band's plane
    32082933    if (fabs(RelativeOldSphereCenter.ScalarProduct(&CirclePlaneNormal)) > HULLEPSILON) {
    3209       DoeLog(1) && (eLog() << Verbose(1) << "Something's very wrong here: RelativeOldSphereCenter is not on the band's plane as desired by " << fabs(RelativeOldSphereCenter.ScalarProduct(&CirclePlaneNormal)) << "!" << endl);
     2934      eLog() << Verbose(1) << "Something's very wrong here: RelativeOldSphereCenter is not on the band's plane as desired by " << fabs(RelativeOldSphereCenter.ScalarProduct(&CirclePlaneNormal)) << "!" << endl;
    32102935      RelativeOldSphereCenter.ProjectOntoPlane(&CirclePlaneNormal);
    32112936    }
    32122937    radius = RelativeOldSphereCenter.NormSquared();
    32132938    if (fabs(radius - CircleRadius) < HULLEPSILON) {
    3214       DoLog(1) && (Log() << Verbose(1) << "INFO: RelativeOldSphereCenter is at " << RelativeOldSphereCenter << "." << endl);
     2939      Log() << Verbose(1) << "INFO: RelativeOldSphereCenter is at " << RelativeOldSphereCenter << "." << endl;
    32152940
    32162941      // check SearchDirection
    3217       DoLog(1) && (Log() << Verbose(1) << "INFO: SearchDirection is " << SearchDirection << "." << endl);
    3218       if (fabs(RelativeOldSphereCenter.ScalarProduct(&SearchDirection)) > HULLEPSILON) { // rotated the wrong way!
    3219         DoeLog(1) && (eLog() << Verbose(1) << "SearchDirection and RelativeOldSphereCenter are not orthogonal!" << endl);
     2942      Log() << Verbose(1) << "INFO: SearchDirection is " << SearchDirection << "." << endl;
     2943      if (fabs(RelativeOldSphereCenter.ScalarProduct(&SearchDirection)) > HULLEPSILON) {  // rotated the wrong way!
     2944        eLog() << Verbose(1) << "SearchDirection and RelativeOldSphereCenter are not orthogonal!" << endl;
    32202945      }
    32212946
    32222947      // get cell for the starting point
    32232948      if (LC->SetIndexToVector(&CircleCenter)) {
    3224         for (int i = 0; i < NDIM; i++) // store indices of this cell
    3225           N[i] = LC->n[i];
     2949        for(int i=0;i<NDIM;i++) // store indices of this cell
     2950        N[i] = LC->n[i];
    32262951        //Log() << Verbose(1) << "INFO: Center cell is " << N[0] << ", " << N[1] << ", " << N[2] << " with No. " << LC->index << "." << endl;
    32272952      } else {
    3228         DoeLog(1) && (eLog() << Verbose(1) << "Vector " << CircleCenter << " is outside of LinkedCell's bounding box." << endl);
     2953        eLog() << Verbose(1) << "Vector " << CircleCenter << " is outside of LinkedCell's bounding box." << endl;
    32292954        return;
    32302955      }
    32312956      // then go through the current and all neighbouring cells and check the contained points for possible candidates
    32322957      //Log() << Verbose(1) << "LC Intervals:";
    3233       for (int i = 0; i < NDIM; i++) {
    3234         Nlower[i] = ((N[i] - 1) >= 0) ? N[i] - 1 : 0;
    3235         Nupper[i] = ((N[i] + 1) < LC->N[i]) ? N[i] + 1 : LC->N[i] - 1;
     2958      for (int i=0;i<NDIM;i++) {
     2959        Nlower[i] = ((N[i]-1) >= 0) ? N[i]-1 : 0;
     2960        Nupper[i] = ((N[i]+1) < LC->N[i]) ? N[i]+1 : LC->N[i]-1;
    32362961        //Log() << Verbose(0) << " [" << Nlower[i] << "," << Nupper[i] << "] ";
    32372962      }
     
    32402965        for (LC->n[1] = Nlower[1]; LC->n[1] <= Nupper[1]; LC->n[1]++)
    32412966          for (LC->n[2] = Nlower[2]; LC->n[2] <= Nupper[2]; LC->n[2]++) {
    3242             const LinkedCell::LinkedNodes *List = LC->GetCurrentCell();
     2967            const LinkedNodes *List = LC->GetCurrentCell();
    32432968            //Log() << Verbose(1) << "Current cell is " << LC->n[0] << ", " << LC->n[1] << ", " << LC->n[2] << " with No. " << LC->index << "." << endl;
    32442969            if (List != NULL) {
    3245               for (LinkedCell::LinkedNodes::const_iterator Runner = List->begin(); Runner != List->end(); Runner++) {
     2970              for (LinkedNodes::const_iterator Runner = List->begin(); Runner != List->end(); Runner++) {
    32462971                Candidate = (*Runner);
    32472972
    32482973                // check for three unique points
    3249                 DoLog(2) && (Log() << Verbose(2) << "INFO: Current Candidate is " << *Candidate << " for BaseLine " << *CandidateLine.BaseLine << " with OldSphereCenter " << OldSphereCenter << "." << endl);
    3250                 if ((Candidate != CandidateLine.BaseLine->endpoints[0]->node) && (Candidate != CandidateLine.BaseLine->endpoints[1]->node)) {
     2974                Log() << Verbose(2) << "INFO: Current Candidate is " << *Candidate << " for BaseLine " << *CandidateLine.BaseLine << " with OldSphereCenter " << OldSphereCenter << "." << endl;
     2975                if ((Candidate != CandidateLine.BaseLine->endpoints[0]->node) && (Candidate != CandidateLine.BaseLine->endpoints[1]->node) ){
    32512976
    32522977                  // find center on the plane
    32532978                  GetCenterofCircumcircle(&NewPlaneCenter, *CandidateLine.BaseLine->endpoints[0]->node->node, *CandidateLine.BaseLine->endpoints[1]->node->node, *Candidate->node);
    3254                   DoLog(1) && (Log() << Verbose(1) << "INFO: NewPlaneCenter is " << NewPlaneCenter << "." << endl);
    3255 
    3256                   if (NewNormalVector.MakeNormalVector(CandidateLine.BaseLine->endpoints[0]->node->node, CandidateLine.BaseLine->endpoints[1]->node->node, Candidate->node) && (fabs(NewNormalVector.NormSquared()) > HULLEPSILON)) {
    3257                     DoLog(1) && (Log() << Verbose(1) << "INFO: NewNormalVector is " << NewNormalVector << "." << endl);
     2979                  Log() << Verbose(1) << "INFO: NewPlaneCenter is " << NewPlaneCenter << "." << endl;
     2980
     2981                  if (NewNormalVector.MakeNormalVector(CandidateLine.BaseLine->endpoints[0]->node->node, CandidateLine.BaseLine->endpoints[1]->node->node, Candidate->node)
     2982                  && (fabs(NewNormalVector.NormSquared()) > HULLEPSILON)
     2983                  ) {
     2984                    Log() << Verbose(1) << "INFO: NewNormalVector is " << NewNormalVector << "." << endl;
    32582985                    radius = CandidateLine.BaseLine->endpoints[0]->node->node->DistanceSquared(&NewPlaneCenter);
    3259                     DoLog(1) && (Log() << Verbose(1) << "INFO: CircleCenter is at " << CircleCenter << ", CirclePlaneNormal is " << CirclePlaneNormal << " with circle radius " << sqrt(CircleRadius) << "." << endl);
    3260                     DoLog(1) && (Log() << Verbose(1) << "INFO: SearchDirection is " << SearchDirection << "." << endl);
    3261                     DoLog(1) && (Log() << Verbose(1) << "INFO: Radius of CircumCenterCircle is " << radius << "." << endl);
    3262                     if (radius < RADIUS * RADIUS) {
     2986                    Log() << Verbose(1) << "INFO: CircleCenter is at " << CircleCenter << ", CirclePlaneNormal is " << CirclePlaneNormal << " with circle radius " << sqrt(CircleRadius) << "." << endl;
     2987                    Log() << Verbose(1) << "INFO: SearchDirection is " << SearchDirection << "." << endl;
     2988                    Log() << Verbose(1) << "INFO: Radius of CircumCenterCircle is " << radius << "." << endl;
     2989                    if (radius < RADIUS*RADIUS) {
    32632990                      otherradius = CandidateLine.BaseLine->endpoints[1]->node->node->DistanceSquared(&NewPlaneCenter);
    3264                       if (fabs(radius - otherradius) < HULLEPSILON) {
    3265                         // construct both new centers
    3266                         NewSphereCenter.CopyVector(&NewPlaneCenter);
    3267                         OtherNewSphereCenter.CopyVector(&NewPlaneCenter);
    3268                         helper.CopyVector(&NewNormalVector);
    3269                         helper.Scale(sqrt(RADIUS * RADIUS - radius));
    3270                         DoLog(2) && (Log() << Verbose(2) << "INFO: Distance of NewPlaneCenter " << NewPlaneCenter << " to either NewSphereCenter is " << helper.Norm() << " of vector " << helper << " with sphere radius " << RADIUS << "." << endl);
    3271                         NewSphereCenter.AddVector(&helper);
    3272                         DoLog(2) && (Log() << Verbose(2) << "INFO: NewSphereCenter is at " << NewSphereCenter << "." << endl);
    3273                         // OtherNewSphereCenter is created by the same vector just in the other direction
    3274                         helper.Scale(-1.);
    3275                         OtherNewSphereCenter.AddVector(&helper);
    3276                         DoLog(2) && (Log() << Verbose(2) << "INFO: OtherNewSphereCenter is at " << OtherNewSphereCenter << "." << endl);
    3277 
    3278                         alpha = GetPathLengthonCircumCircle(CircleCenter, CirclePlaneNormal, CircleRadius, NewSphereCenter, OldSphereCenter, NormalVector, SearchDirection);
    3279                         Otheralpha = GetPathLengthonCircumCircle(CircleCenter, CirclePlaneNormal, CircleRadius, OtherNewSphereCenter, OldSphereCenter, NormalVector, SearchDirection);
    3280                         if ((ThirdPoint != NULL) && (Candidate == ThirdPoint->node)) { // in that case only the other circlecenter is valid
    3281                           if (OldSphereCenter.DistanceSquared(&NewSphereCenter) < OldSphereCenter.DistanceSquared(&OtherNewSphereCenter))
    3282                             alpha = Otheralpha;
    3283                         } else
    3284                           alpha = min(alpha, Otheralpha);
    3285 
    3286                         // if there is a better candidate, drop the current list and add the new candidate
    3287                         // otherwise ignore the new candidate and keep the list
    3288                         if (CandidateLine.ShortestAngle > (alpha - HULLEPSILON)) {
    3289                           if (fabs(alpha - Otheralpha) > MYEPSILON) {
    3290                             CandidateLine.OptCenter.CopyVector(&NewSphereCenter);
    3291                             CandidateLine.OtherOptCenter.CopyVector(&OtherNewSphereCenter);
    3292                           } else {
    3293                             CandidateLine.OptCenter.CopyVector(&OtherNewSphereCenter);
    3294                             CandidateLine.OtherOptCenter.CopyVector(&NewSphereCenter);
    3295                           }
    3296                           // if there is an equal candidate, add it to the list without clearing the list
    3297                           if ((CandidateLine.ShortestAngle - HULLEPSILON) < alpha) {
    3298                             CandidateLine.pointlist.push_back(Candidate);
    3299                             DoLog(0) && (Log() << Verbose(0) << "ACCEPT: We have found an equally good candidate: " << *(Candidate) << " with " << alpha << " and circumsphere's center at " << CandidateLine.OptCenter << "." << endl);
    3300                           } else {
    3301                             // remove all candidates from the list and then the list itself
    3302                             CandidateLine.pointlist.clear();
    3303                             CandidateLine.pointlist.push_back(Candidate);
    3304                             DoLog(0) && (Log() << Verbose(0) << "ACCEPT: We have found a better candidate: " << *(Candidate) << " with " << alpha << " and circumsphere's center at " << CandidateLine.OptCenter << "." << endl);
    3305                           }
    3306                           CandidateLine.ShortestAngle = alpha;
    3307                           DoLog(0) && (Log() << Verbose(0) << "INFO: There are " << CandidateLine.pointlist.size() << " candidates in the list now." << endl);
     2991                      if (fabs(radius - otherradius) > HULLEPSILON) {
     2992                        eLog() << Verbose(1) << "Distance to center of circumcircle is not the same from each corner of the triangle: " << fabs(radius-otherradius) << endl;
     2993                      }
     2994                      // construct both new centers
     2995                      NewSphereCenter.CopyVector(&NewPlaneCenter);
     2996                      OtherNewSphereCenter.CopyVector(&NewPlaneCenter);
     2997                      helper.CopyVector(&NewNormalVector);
     2998                      helper.Scale(sqrt(RADIUS*RADIUS - radius));
     2999                      Log() << Verbose(2) << "INFO: Distance of NewPlaneCenter " << NewPlaneCenter << " to either NewSphereCenter is " << helper.Norm() << " of vector " << helper << " with sphere radius " << RADIUS << "." << endl;
     3000                      NewSphereCenter.AddVector(&helper);
     3001                      Log() << Verbose(2) << "INFO: NewSphereCenter is at " << NewSphereCenter << "." << endl;
     3002                      // OtherNewSphereCenter is created by the same vector just in the other direction
     3003                      helper.Scale(-1.);
     3004                      OtherNewSphereCenter.AddVector(&helper);
     3005                      Log() << Verbose(2) << "INFO: OtherNewSphereCenter is at " << OtherNewSphereCenter << "." << endl;
     3006
     3007                      alpha = GetPathLengthonCircumCircle(CircleCenter, CirclePlaneNormal, CircleRadius, NewSphereCenter, OldSphereCenter, NormalVector, SearchDirection);
     3008                      Otheralpha = GetPathLengthonCircumCircle(CircleCenter, CirclePlaneNormal, CircleRadius, OtherNewSphereCenter, OldSphereCenter, NormalVector, SearchDirection);
     3009                      alpha = min(alpha, Otheralpha);
     3010
     3011                      // if there is a better candidate, drop the current list and add the new candidate
     3012                      // otherwise ignore the new candidate and keep the list
     3013                      if (CandidateLine.ShortestAngle > (alpha - HULLEPSILON)) {
     3014                        if (fabs(alpha - Otheralpha) > MYEPSILON) {
     3015                          CandidateLine.OptCenter.CopyVector(&NewSphereCenter);
     3016                          CandidateLine.OtherOptCenter.CopyVector(&OtherNewSphereCenter);
    33083017                        } else {
    3309                           if ((Candidate != NULL) && (CandidateLine.pointlist.begin() != CandidateLine.pointlist.end())) {
    3310                             DoLog(1) && (Log() << Verbose(1) << "REJECT: Old candidate " << *(*CandidateLine.pointlist.begin()) << " with " << CandidateLine.ShortestAngle << " is better than new one " << *Candidate << " with " << alpha << " ." << endl);
    3311                           } else {
    3312                             DoLog(1) && (Log() << Verbose(1) << "REJECT: Candidate " << *Candidate << " with " << alpha << " was rejected." << endl);
    3313                           }
     3018                          CandidateLine.OptCenter.CopyVector(&OtherNewSphereCenter);
     3019                          CandidateLine.OtherOptCenter.CopyVector(&NewSphereCenter);
    33143020                        }
     3021                        // if there is an equal candidate, add it to the list without clearing the list
     3022                        if ((CandidateLine.ShortestAngle - HULLEPSILON) < alpha) {
     3023                          CandidateLine.pointlist.push_back(Candidate);
     3024                          Log() << Verbose(0) << "ACCEPT: We have found an equally good candidate: " << *(Candidate) << " with "
     3025                            << alpha << " and circumsphere's center at " << CandidateLine.OptCenter << "." << endl;
     3026                        } else {
     3027                          // remove all candidates from the list and then the list itself
     3028                          CandidateLine.pointlist.clear();
     3029                          CandidateLine.pointlist.push_back(Candidate);
     3030                          Log() << Verbose(0) << "ACCEPT: We have found a better candidate: " << *(Candidate) << " with "
     3031                            << alpha << " and circumsphere's center at " << CandidateLine.OptCenter << "." << endl;
     3032                        }
     3033                        CandidateLine.ShortestAngle = alpha;
     3034                        Log() << Verbose(0) << "INFO: There are " << CandidateLine.pointlist.size() << " candidates in the list now." << endl;
    33153035                      } else {
    3316                         DoLog(1) && (Log() << Verbose(1) << "REJECT: Distance to center of circumcircle is not the same from each corner of the triangle: " << fabs(radius - otherradius) << endl);
     3036                        if ((Candidate != NULL) && (CandidateLine.pointlist.begin() != CandidateLine.pointlist.end())) {
     3037                          Log() << Verbose(1) << "REJECT: Old candidate " << *(Candidate) << " with " << CandidateLine.ShortestAngle << " is better than new one " << *Candidate << " with " << alpha << " ." << endl;
     3038                        } else {
     3039                          Log() << Verbose(1) << "REJECT: Candidate " << *Candidate << " with " << alpha << " was rejected." << endl;
     3040                        }
    33173041                      }
    33183042                    } else {
    3319                       DoLog(1) && (Log() << Verbose(1) << "REJECT: NewSphereCenter " << NewSphereCenter << " for " << *Candidate << " is too far away: " << radius << "." << endl);
     3043                      Log() << Verbose(1) << "REJECT: NewSphereCenter " << NewSphereCenter << " for " << *Candidate << " is too far away: " << radius << "." << endl;
    33203044                    }
    33213045                  } else {
    3322                     DoLog(1) && (Log() << Verbose(1) << "REJECT: Three points from " << *CandidateLine.BaseLine << " and Candidate " << *Candidate << " are linear-dependent." << endl);
     3046                    Log() << Verbose(1) << "REJECT: Three points from " << *CandidateLine.BaseLine << " and Candidate " << *Candidate << " are linear-dependent." << endl;
    33233047                  }
    33243048                } else {
    3325                   if (ThirdPoint != NULL) {
    3326                     DoLog(1) && (Log() << Verbose(1) << "REJECT: Base triangle " << *CandidateLine.BaseLine << " and " << *ThirdPoint << " contains Candidate " << *Candidate << "." << endl);
     3049                  if (ThirdNode != NULL) {
     3050                    Log() << Verbose(1) << "REJECT: Base triangle " << *CandidateLine.BaseLine << " and " << *ThirdNode << " contains Candidate " << *Candidate << "." << endl;
    33273051                  } else {
    3328                     DoLog(1) && (Log() << Verbose(1) << "REJECT: Base triangle " << *CandidateLine.BaseLine << " contains Candidate " << *Candidate << "." << endl);
     3052                    Log() << Verbose(1) << "REJECT: Base triangle " << *CandidateLine.BaseLine << " contains Candidate " << *Candidate << "." << endl;
    33293053                  }
    33303054                }
     
    33333057          }
    33343058    } else {
    3335       DoeLog(1) && (eLog() << Verbose(1) << "The projected center of the old sphere has radius " << radius << " instead of " << CircleRadius << "." << endl);
     3059      eLog() << Verbose(1) << "The projected center of the old sphere has radius " << radius << " instead of " << CircleRadius << "." << endl;
    33363060    }
    33373061  } else {
    3338     if (ThirdPoint != NULL)
    3339       DoLog(1) && (Log() << Verbose(1) << "Circumcircle for base line " << *CandidateLine.BaseLine << " and third node " << *ThirdPoint << " is too big!" << endl);
     3062    if (ThirdNode != NULL)
     3063      Log() << Verbose(1) << "Circumcircle for base line " << *CandidateLine.BaseLine << " and third node " << *ThirdNode << " is too big!" << endl;
    33403064    else
    3341       DoLog(1) && (Log() << Verbose(1) << "Circumcircle for base line " << *CandidateLine.BaseLine << " is too big!" << endl);
    3342   }
    3343 
    3344   DoLog(1) && (Log() << Verbose(1) << "INFO: Sorting candidate list ..." << endl);
     3065      Log() << Verbose(1) << "Circumcircle for base line " << *CandidateLine.BaseLine << " is too big!" << endl;
     3066  }
     3067
     3068  Log() << Verbose(1) << "INFO: Sorting candidate list ..." << endl;
    33453069  if (CandidateLine.pointlist.size() > 1) {
    33463070    CandidateLine.pointlist.unique();
    33473071    CandidateLine.pointlist.sort(); //SortCandidates);
    33483072  }
    3349 
    3350   if ((!CandidateLine.pointlist.empty()) && (!CandidateLine.CheckValidity(RADIUS, LC))) {
    3351     DoeLog(0) && (eLog() << Verbose(0) << "There were other points contained in the rolling sphere as well!" << endl);
    3352     performCriticalExit();
    3353   }
    3354 }
    3355 ;
     3073};
    33563074
    33573075/** Finds the endpoint two lines are sharing.
     
    33623080class BoundaryPointSet *Tesselation::GetCommonEndpoint(const BoundaryLineSet * line1, const BoundaryLineSet * line2) const
    33633081{
    3364   Info FunctionInfo(__func__);
     3082        Info FunctionInfo(__func__);
    33653083  const BoundaryLineSet * lines[2] = { line1, line2 };
    33663084  class BoundaryPointSet *node = NULL;
     
    33693087  for (int i = 0; i < 2; i++)
    33703088    // for both lines
    3371     for (int j = 0; j < 2; j++) { // for both endpoints
    3372       OrderTest = OrderMap.insert(pair<int, class BoundaryPointSet *> (lines[i]->endpoints[j]->Nr, lines[i]->endpoints[j]));
    3373       if (!OrderTest.second) { // if insertion fails, we have common endpoint
    3374         node = OrderTest.first->second;
    3375         DoLog(1) && (Log() << Verbose(1) << "Common endpoint of lines " << *line1 << " and " << *line2 << " is: " << *node << "." << endl);
    3376         j = 2;
    3377         i = 2;
    3378         break;
     3089    for (int j = 0; j < 2; j++)
     3090      { // for both endpoints
     3091        OrderTest = OrderMap.insert(pair<int, class BoundaryPointSet *> (
     3092            lines[i]->endpoints[j]->Nr, lines[i]->endpoints[j]));
     3093        if (!OrderTest.second)
     3094          { // if insertion fails, we have common endpoint
     3095            node = OrderTest.first->second;
     3096            Log() << Verbose(1) << "Common endpoint of lines " << *line1
     3097                << " and " << *line2 << " is: " << *node << "." << endl;
     3098            j = 2;
     3099            i = 2;
     3100            break;
     3101          }
    33793102      }
    3380     }
    33813103  return node;
    3382 }
    3383 ;
     3104};
    33843105
    33853106/** Finds the boundary points that are closest to a given Vector \a *x.
     
    33953116
    33963117  if (LinesOnBoundary.empty()) {
    3397     DoeLog(1) && (eLog() << Verbose(1) << "There is no tesselation structure to compare the point with, please create one first." << endl);
     3118    eLog() << Verbose(1) << "There is no tesselation structure to compare the point with, please create one first." << endl;
    33983119    return NULL;
    33993120  }
     
    34013122  // gather all points close to the desired one
    34023123  LC->SetIndexToVector(x); // ignore status as we calculate bounds below sensibly
    3403   for (int i = 0; i < NDIM; i++) // store indices of this cell
     3124  for(int i=0;i<NDIM;i++) // store indices of this cell
    34043125    N[i] = LC->n[i];
    3405   DoLog(1) && (Log() << Verbose(1) << "INFO: Center cell is " << N[0] << ", " << N[1] << ", " << N[2] << " with No. " << LC->index << "." << endl);
     3126  Log() << Verbose(1) << "INFO: Center cell is " << N[0] << ", " << N[1] << ", " << N[2] << " with No. " << LC->index << "." << endl;
     3127
    34063128  DistanceToPointMap * points = new DistanceToPointMap;
    34073129  LC->GetNeighbourBounds(Nlower, Nupper);
     
    34103132    for (LC->n[1] = Nlower[1]; LC->n[1] <= Nupper[1]; LC->n[1]++)
    34113133      for (LC->n[2] = Nlower[2]; LC->n[2] <= Nupper[2]; LC->n[2]++) {
    3412         const LinkedCell::LinkedNodes *List = LC->GetCurrentCell();
     3134        const LinkedNodes *List = LC->GetCurrentCell();
    34133135        //Log() << Verbose(1) << "The current cell " << LC->n[0] << "," << LC->n[1] << "," << LC->n[2] << endl;
    34143136        if (List != NULL) {
    3415           for (LinkedCell::LinkedNodes::const_iterator Runner = List->begin(); Runner != List->end(); Runner++) {
     3137          for (LinkedNodes::const_iterator Runner = List->begin(); Runner != List->end(); Runner++) {
    34163138            FindPoint = PointsOnBoundary.find((*Runner)->nr);
    34173139            if (FindPoint != PointsOnBoundary.end()) {
    3418               points->insert(DistanceToPointPair(FindPoint->second->node->node->DistanceSquared(x), FindPoint->second));
    3419               DoLog(1) && (Log() << Verbose(1) << "INFO: Putting " << *FindPoint->second << " into the list." << endl);
     3140              points->insert(DistanceToPointPair (FindPoint->second->node->node->DistanceSquared(x), FindPoint->second) );
     3141              Log() << Verbose(1) << "INFO: Putting " << *FindPoint->second << " into the list." << endl;
    34203142            }
    34213143          }
    34223144        } else {
    3423           DoeLog(1) && (eLog() << Verbose(1) << "The current cell " << LC->n[0] << "," << LC->n[1] << "," << LC->n[2] << " is invalid!" << endl);
     3145          eLog() << Verbose(1) << "The current cell " << LC->n[0] << "," << LC->n[1] << "," << LC->n[2] << " is invalid!" << endl;
    34243146        }
    34253147      }
     
    34273149  // check whether we found some points
    34283150  if (points->empty()) {
    3429     DoeLog(1) && (eLog() << Verbose(1) << "There is no nearest point: too far away from the surface." << endl);
    3430     delete (points);
     3151    eLog() << Verbose(1) << "There is no nearest point: too far away from the surface." << endl;
     3152    delete(points);
    34313153    return NULL;
    34323154  }
    34333155  return points;
    3434 }
    3435 ;
     3156};
    34363157
    34373158/** Finds the boundary line that is closest to a given Vector \a *x.
     
    34433164{
    34443165  Info FunctionInfo(__func__);
     3166
    34453167  // get closest points
    3446   DistanceToPointMap * points = FindClosestBoundaryPointsToVector(x, LC);
     3168  DistanceToPointMap * points = FindClosestBoundaryPointsToVector(x,LC);
    34473169  if (points == NULL) {
    3448     DoeLog(1) && (eLog() << Verbose(1) << "There is no nearest point: too far away from the surface." << endl);
     3170    eLog() << Verbose(1) << "There is no nearest point: too far away from the surface." << endl;
    34493171    return NULL;
    34503172  }
    34513173
    34523174  // for each point, check its lines, remember closest
    3453   DoLog(1) && (Log() << Verbose(1) << "Finding closest BoundaryLine to " << *x << " ... " << endl);
     3175  Log() << Verbose(1) << "Finding closest BoundaryLine to " << *x << " ... " << endl;
    34543176  BoundaryLineSet *ClosestLine = NULL;
    34553177  double MinDistance = -1.;
     
    34793201        helper.SubtractVector(&Center);
    34803202        const double lengthB = helper.ScalarProduct(&BaseLine);
    3481         if (lengthB * lengthA < 0) { // if have different sign
     3203        if (lengthB*lengthA < 0) { // if have different sign
    34823204          ClosestLine = LineRunner->second;
    34833205          MinDistance = distance;
    3484           DoLog(1) && (Log() << Verbose(1) << "ACCEPT: New closest line is " << *ClosestLine << " with projected distance " << MinDistance << "." << endl);
     3206          Log() << Verbose(1) << "ACCEPT: New closest line is " << *ClosestLine << " with projected distance " << MinDistance << "." << endl;
    34853207        } else {
    3486           DoLog(1) && (Log() << Verbose(1) << "REJECT: Intersection is outside of the line section: " << lengthA << " and " << lengthB << "." << endl);
     3208          Log() << Verbose(1) << "REJECT: Intersection is outside of the line section: " << lengthA << " and " << lengthB << "." << endl;
    34873209        }
    34883210      } else {
    3489         DoLog(1) && (Log() << Verbose(1) << "REJECT: Point is too further away than present line: " << distance << " >> " << MinDistance << "." << endl);
     3211        Log() << Verbose(1) << "REJECT: Point is too further away than present line: " << distance << " >> " << MinDistance << "." << endl;
    34903212      }
    34913213    }
    34923214  }
    3493   delete (points);
     3215  delete(points);
    34943216  // check whether closest line is "too close" :), then it's inside
    34953217  if (ClosestLine == NULL) {
    3496     DoLog(0) && (Log() << Verbose(0) << "Is the only point, no one else is closeby." << endl);
     3218    Log() << Verbose(0) << "Is the only point, no one else is closeby." << endl;
    34973219    return NULL;
    34983220  }
    34993221  return ClosestLine;
    3500 }
    3501 ;
     3222};
     3223
    35023224
    35033225/** Finds the triangle that is closest to a given Vector \a *x.
     
    35083230TriangleList * Tesselation::FindClosestTrianglesToVector(const Vector *x, const LinkedCell* LC) const
    35093231{
    3510   Info FunctionInfo(__func__);
    3511   // get closest points
    3512   DistanceToPointMap * points = FindClosestBoundaryPointsToVector(x, LC);
     3232        Info FunctionInfo(__func__);
     3233
     3234        // get closest points
     3235        DistanceToPointMap * points = FindClosestBoundaryPointsToVector(x,LC);
    35133236  if (points == NULL) {
    3514     DoeLog(1) && (eLog() << Verbose(1) << "There is no nearest point: too far away from the surface." << endl);
     3237    eLog() << Verbose(1) << "There is no nearest point: too far away from the surface." << endl;
    35153238    return NULL;
    35163239  }
    35173240
    35183241  // for each point, check its lines, remember closest
    3519   DoLog(1) && (Log() << Verbose(1) << "Finding closest BoundaryTriangle to " << *x << " ... " << endl);
     3242  Log() << Verbose(1) << "Finding closest BoundaryTriangle to " << *x << " ... " << endl;
    35203243  LineSet ClosestLines;
    35213244  double MinDistance = 1e+16;
     
    35393262      const double lengthEndB = BaseLineIntersection.NormSquared();
    35403263
    3541       if ((lengthEndA > lengthBase) || (lengthEndB > lengthBase) || ((lengthEndA < MYEPSILON) || (lengthEndB < MYEPSILON))) { // intersection would be outside, take closer endpoint
     3264      if ((lengthEndA > lengthBase) || (lengthEndB > lengthBase) || ((lengthEndA < MYEPSILON) || (lengthEndB < MYEPSILON))) {  // intersection would be outside, take closer endpoint
    35423265        const double lengthEnd = Min(lengthEndA, lengthEndB);
    35433266        if (lengthEnd - MinDistance < -MYEPSILON) { // new best line
     
    35453268          ClosestLines.insert(LineRunner->second);
    35463269          MinDistance = lengthEnd;
    3547           DoLog(1) && (Log() << Verbose(1) << "ACCEPT: Line " << *LineRunner->second << " to endpoint " << *LineRunner->second->endpoints[0]->node << " is closer with " << lengthEnd << "." << endl);
    3548         } else if (fabs(lengthEnd - MinDistance) < MYEPSILON) { // additional best candidate
     3270          Log() << Verbose(1) << "ACCEPT: Line " << *LineRunner->second << " to endpoint " << *LineRunner->second->endpoints[0]->node << " is closer with " << lengthEnd << "." << endl;
     3271        } else if  (fabs(lengthEnd - MinDistance) < MYEPSILON) { // additional best candidate
    35493272          ClosestLines.insert(LineRunner->second);
    3550           DoLog(1) && (Log() << Verbose(1) << "ACCEPT: Line " << *LineRunner->second << " to endpoint " << *LineRunner->second->endpoints[1]->node << " is equally good with " << lengthEnd << "." << endl);
     3273          Log() << Verbose(1) << "ACCEPT: Line " << *LineRunner->second << " to endpoint " << *LineRunner->second->endpoints[1]->node << " is equally good with " << lengthEnd << "." << endl;
    35513274        } else { // line is worse
    3552           DoLog(1) && (Log() << Verbose(1) << "REJECT: Line " << *LineRunner->second << " to either endpoints is further away than present closest line candidate: " << lengthEndA << ", " << lengthEndB << ", and distance is longer than baseline:" << lengthBase << "." << endl);
     3275          Log() << Verbose(1) << "REJECT: Line " << *LineRunner->second << " to either endpoints is further away than present closest line candidate: " << lengthEndA << ", " << lengthEndB << ", and distance is longer than baseline:" << lengthBase << "." << endl;
    35533276        }
    35543277      } else { // intersection is closer, calculate
     
    35613284        const double distance = BaseLineIntersection.NormSquared();
    35623285        if (Center.NormSquared() > BaseLine.NormSquared()) {
    3563           DoeLog(0) && (eLog() << Verbose(0) << "Algorithmic error: In second case we have intersection outside of baseline!" << endl);
     3286          eLog() << Verbose(0) << "Algorithmic error: In second case we have intersection outside of baseline!" << endl;
    35643287        }
    35653288        if ((ClosestLines.empty()) || (distance < MinDistance)) {
    35663289          ClosestLines.insert(LineRunner->second);
    35673290          MinDistance = distance;
    3568           DoLog(1) && (Log() << Verbose(1) << "ACCEPT: Intersection in between endpoints, new closest line " << *LineRunner->second << " is " << *ClosestLines.begin() << " with projected distance " << MinDistance << "." << endl);
     3291          Log() << Verbose(1) << "ACCEPT: Intersection in between endpoints, new closest line " << *LineRunner->second << " is " << *ClosestLines.begin() << " with projected distance " << MinDistance << "." << endl;
    35693292        } else {
    3570           DoLog(2) && (Log() << Verbose(2) << "REJECT: Point is further away from line " << *LineRunner->second << " than present closest line: " << distance << " >> " << MinDistance << "." << endl);
     3293          Log() << Verbose(2) << "REJECT: Point is further away from line " << *LineRunner->second << " than present closest line: " << distance << " >> " << MinDistance << "." << endl;
    35713294        }
    35723295      }
    35733296    }
    35743297  }
    3575   delete (points);
     3298  delete(points);
    35763299
    35773300  // check whether closest line is "too close" :), then it's inside
    35783301  if (ClosestLines.empty()) {
    3579     DoLog(0) && (Log() << Verbose(0) << "Is the only point, no one else is closeby." << endl);
     3302    Log() << Verbose(0) << "Is the only point, no one else is closeby." << endl;
    35803303    return NULL;
    35813304  }
     
    35833306  for (LineSet::iterator LineRunner = ClosestLines.begin(); LineRunner != ClosestLines.end(); LineRunner++)
    35843307    for (TriangleMap::iterator Runner = (*LineRunner)->triangles.begin(); Runner != (*LineRunner)->triangles.end(); Runner++) {
    3585       candidates->push_back(Runner->second);
    3586     }
     3308    candidates->push_back(Runner->second);
     3309  }
    35873310  return candidates;
    3588 }
    3589 ;
     3311};
    35903312
    35913313/** Finds closest triangle to a point.
     
    35933315 * \param *out output stream for debugging
    35943316 * \param *x Vector to look from
    3595  * \param &distance contains found distance on return
    35963317 * \return list of BoundaryTriangleSet of nearest triangles or NULL.
    35973318 */
    35983319class BoundaryTriangleSet * Tesselation::FindClosestTriangleToVector(const Vector *x, const LinkedCell* LC) const
    35993320{
    3600   Info FunctionInfo(__func__);
     3321        Info FunctionInfo(__func__);
    36013322  class BoundaryTriangleSet *result = NULL;
    36023323  TriangleList *triangles = FindClosestTrianglesToVector(x, LC);
     
    36093330
    36103331  // go through all and pick the one with the best alignment to x
    3611   double MinAlignment = 2. * M_PI;
     3332  double MinAlignment = 2.*M_PI;
    36123333  for (TriangleList::iterator Runner = triangles->begin(); Runner != triangles->end(); Runner++) {
    36133334    (*Runner)->GetCenter(&Center);
     
    36183339      result = *Runner;
    36193340      MinAlignment = Alignment;
    3620       DoLog(1) && (Log() << Verbose(1) << "ACCEPT: Triangle " << *result << " is better aligned with " << MinAlignment << "." << endl);
     3341      Log() << Verbose(1) << "ACCEPT: Triangle " << *result << " is better aligned with " << MinAlignment << "." << endl;
    36213342    } else {
    3622       DoLog(1) && (Log() << Verbose(1) << "REJECT: Triangle " << *result << " is worse aligned with " << MinAlignment << "." << endl);
    3623     }
    3624   }
    3625   delete (triangles);
     3343      Log() << Verbose(1) << "REJECT: Triangle " << *result << " is worse aligned with " << MinAlignment << "." << endl;
     3344    }
     3345  }
     3346  delete(triangles);
    36263347
    36273348  return result;
    3628 }
    3629 ;
     3349};
    36303350
    36313351/** Checks whether the provided Vector is within the Tesselation structure.
     
    36383358bool Tesselation::IsInnerPoint(const Vector &Point, const LinkedCell* const LC) const
    36393359{
    3640   Info FunctionInfo(__func__);
    3641   TriangleIntersectionList Intersections(&Point, this, LC);
    3642 
    3643   return Intersections.IsInside();
     3360  return (GetDistanceSquaredToSurface(Point, LC) < MYEPSILON);
    36443361}
    3645 ;
    36463362
    36473363/** Returns the distance to the surface given by the tesselation.
     
    36733389
    36743390  if (triangle == NULL) {// is boundary point or only point in point cloud?
    3675     DoLog(1) && (Log() << Verbose(1) << "No triangle given!" << endl);
     3391    Log() << Verbose(1) << "No triangle given!" << endl;
    36763392    return -1.;
    36773393  } else {
    3678     DoLog(1) && (Log() << Verbose(1) << "INFO: Closest triangle found is " << *triangle << " with normal vector " << triangle->NormalVector << "." << endl);
     3394    Log() << Verbose(1) << "INFO: Closest triangle found is " << *triangle << " with normal vector " << triangle->NormalVector << "." << endl;
    36793395  }
    36803396
    36813397  triangle->GetCenter(&Center);
    3682   DoLog(2) && (Log() << Verbose(2) << "INFO: Central point of the triangle is " << Center << "." << endl);
     3398  Log() << Verbose(2) << "INFO: Central point of the triangle is " << Center << "." << endl;
    36833399  DistanceToCenter.CopyVector(&Center);
    36843400  DistanceToCenter.SubtractVector(&Point);
    3685   DoLog(2) && (Log() << Verbose(2) << "INFO: Vector from point to test to center is " << DistanceToCenter << "." << endl);
     3401  Log() << Verbose(2) << "INFO: Vector from point to test to center is " << DistanceToCenter << "." << endl;
    36863402
    36873403  // check whether we are on boundary
     
    36923408    Center.SubtractVector(&triangle->NormalVector); // points towards MolCenter
    36933409    DistanceToCenter.AddVector(&triangle->NormalVector); // points outside
    3694     DoLog(1) && (Log() << Verbose(1) << "INFO: Calling Intersection with " << Center << " and " << DistanceToCenter << "." << endl);
     3410    Log() << Verbose(1) << "INFO: Calling Intersection with " << Center << " and " << DistanceToCenter << "." << endl;
    36953411    if (triangle->GetIntersectionInsideTriangle(&Center, &DistanceToCenter, &Intersection)) {
    3696       DoLog(1) && (Log() << Verbose(1) << Point << " is inner point: sufficiently close to boundary, " << Intersection << "." << endl);
     3412      Log() << Verbose(1) << Point << " is inner point: sufficiently close to boundary, " << Intersection << "." << endl;
    36973413      return 0.;
    36983414    } else {
    3699       DoLog(1) && (Log() << Verbose(1) << Point << " is NOT an inner point: on triangle plane but outside of triangle bounds." << endl);
     3415      Log() << Verbose(1) << Point << " is NOT an inner point: on triangle plane but outside of triangle bounds." << endl;
    37003416      return false;
    37013417    }
     
    37033419    // calculate smallest distance
    37043420    distance = triangle->GetClosestPointInsideTriangle(&Point, &Intersection);
    3705     DoLog(1) && (Log() << Verbose(1) << "Closest point on triangle is " << Intersection << "." << endl);
     3421    Log() << Verbose(1) << "Closest point on triangle is " << Intersection << "." << endl;
    37063422
    37073423    // then check direction to boundary
    37083424    if (DistanceToCenter.ScalarProduct(&triangle->NormalVector) > MYEPSILON) {
    3709       DoLog(1) && (Log() << Verbose(1) << Point << " is an inner point, " << distance << " below surface." << endl);
     3425      Log() << Verbose(1) << Point << " is an inner point, " << distance << " below surface." << endl;
    37103426      return -distance;
    37113427    } else {
    3712       DoLog(1) && (Log() << Verbose(1) << Point << " is NOT an inner point, " << distance << " above surface." << endl);
     3428      Log() << Verbose(1) << Point << " is NOT an inner point, " << distance << " above surface." << endl;
    37133429      return +distance;
    37143430    }
    37153431  }
    3716 }
    3717 ;
    3718 
    3719 /** Calculates minimum distance from \a&Point to a tesselated surface.
     3432};
     3433
     3434/** Calculates distance to a tesselated surface.
    37203435 * Combines \sa FindClosestTrianglesToVector() and \sa GetDistanceSquaredToTriangle().
    37213436 * \param &Point point to calculate distance from
     
    37233438 * \return distance squared to closest point on surface
    37243439 */
    3725 double Tesselation::GetDistanceToSurface(const Vector &Point, const LinkedCell* const LC) const
    3726 {
    3727   Info FunctionInfo(__func__);
    3728   TriangleIntersectionList Intersections(&Point, this, LC);
    3729 
    3730   return Intersections.GetSmallestDistance();
    3731 }
    3732 ;
    3733 
    3734 /** Calculates minimum distance from \a&Point to a tesselated surface.
    3735  * Combines \sa FindClosestTrianglesToVector() and \sa GetDistanceSquaredToTriangle().
    3736  * \param &Point point to calculate distance from
    3737  * \param *LC needed for finding closest points fast
    3738  * \return distance squared to closest point on surface
    3739  */
    3740 BoundaryTriangleSet * Tesselation::GetClosestTriangleOnSurface(const Vector &Point, const LinkedCell* const LC) const
    3741 {
    3742   Info FunctionInfo(__func__);
    3743   TriangleIntersectionList Intersections(&Point, this, LC);
    3744 
    3745   return Intersections.GetClosestTriangle();
    3746 }
    3747 ;
     3440double Tesselation::GetDistanceSquaredToSurface(const Vector &Point, const LinkedCell* const LC) const
     3441{
     3442  BoundaryTriangleSet *triangle = FindClosestTriangleToVector(&Point, LC);
     3443  const double distance = GetDistanceSquaredToTriangle(Point, triangle);
     3444  return Min(distance, LC->RADIUS);
     3445};
    37483446
    37493447/** Gets all points connected to the provided point by triangulation lines.
     
    37553453TesselPointSet * Tesselation::GetAllConnectedPoints(const TesselPoint* const Point) const
    37563454{
    3757   Info FunctionInfo(__func__);
    3758   TesselPointSet *connectedPoints = new TesselPointSet;
     3455        Info FunctionInfo(__func__);
     3456        TesselPointSet *connectedPoints = new TesselPointSet;
    37593457  class BoundaryPointSet *ReferencePoint = NULL;
    37603458  TesselPoint* current;
    37613459  bool takePoint = false;
     3460
    37623461  // find the respective boundary point
    37633462  PointMap::const_iterator PointRunner = PointsOnBoundary.find(Point->nr);
     
    37653464    ReferencePoint = PointRunner->second;
    37663465  } else {
    3767     DoeLog(2) && (eLog() << Verbose(2) << "GetAllConnectedPoints() could not find the BoundaryPoint belonging to " << *Point << "." << endl);
     3466    eLog() << Verbose(2) << "GetAllConnectedPoints() could not find the BoundaryPoint belonging to " << *Point << "." << endl;
    37683467    ReferencePoint = NULL;
    37693468  }
     
    37713470  // little trick so that we look just through lines connect to the BoundaryPoint
    37723471  // OR fall-back to look through all lines if there is no such BoundaryPoint
    3773   const LineMap *Lines;
    3774   ;
     3472  const LineMap *Lines;;
    37753473  if (ReferencePoint != NULL)
    37763474    Lines = &(ReferencePoint->lines);
     
    37793477  LineMap::const_iterator findLines = Lines->begin();
    37803478  while (findLines != Lines->end()) {
    3781     takePoint = false;
    3782 
    3783     if (findLines->second->endpoints[0]->Nr == Point->nr) {
    3784       takePoint = true;
    3785       current = findLines->second->endpoints[1]->node;
    3786     } else if (findLines->second->endpoints[1]->Nr == Point->nr) {
    3787       takePoint = true;
    3788       current = findLines->second->endpoints[0]->node;
    3789     }
    3790 
    3791     if (takePoint) {
    3792       DoLog(1) && (Log() << Verbose(1) << "INFO: Endpoint " << *current << " of line " << *(findLines->second) << " is enlisted." << endl);
    3793       connectedPoints->insert(current);
    3794     }
    3795 
    3796     findLines++;
     3479   takePoint = false;
     3480
     3481   if (findLines->second->endpoints[0]->Nr == Point->nr) {
     3482     takePoint = true;
     3483     current = findLines->second->endpoints[1]->node;
     3484   } else if (findLines->second->endpoints[1]->Nr == Point->nr) {
     3485     takePoint = true;
     3486     current = findLines->second->endpoints[0]->node;
     3487   }
     3488
     3489   if (takePoint) {
     3490     Log() << Verbose(1) << "INFO: Endpoint " << *current << " of line " << *(findLines->second) << " is enlisted." << endl;
     3491     connectedPoints->insert(current);
     3492   }
     3493
     3494   findLines++;
    37973495  }
    37983496
    37993497  if (connectedPoints->empty()) { // if have not found any points
    3800     DoeLog(1) && (eLog() << Verbose(1) << "We have not found any connected points to " << *Point << "." << endl);
     3498    eLog() << Verbose(1) << "We have not found any connected points to " << *Point<< "." << endl;
    38013499    return NULL;
    38023500  }
    38033501
    38043502  return connectedPoints;
    3805 }
    3806 ;
     3503};
     3504
    38073505
    38083506/** Gets all points connected to the provided point by triangulation lines, ordered such that we have the circle round the point.
     
    38203518TesselPointList * Tesselation::GetCircleOfConnectedTriangles(TesselPointSet *SetOfNeighbours, const TesselPoint* const Point, const Vector * const Reference) const
    38213519{
    3822   Info FunctionInfo(__func__);
     3520        Info FunctionInfo(__func__);
    38233521  map<double, TesselPoint*> anglesOfPoints;
    38243522  TesselPointList *connectedCircle = new TesselPointList;
     
    38273525  Vector OrthogonalVector;
    38283526  Vector helper;
    3829   const TesselPoint * const TrianglePoints[3] = { Point, NULL, NULL };
     3527  const TesselPoint * const TrianglePoints[3] = {Point, NULL, NULL};
    38303528  TriangleList *triangles = NULL;
    38313529
    38323530  if (SetOfNeighbours == NULL) {
    3833     DoeLog(2) && (eLog() << Verbose(2) << "Could not find any connected points!" << endl);
    3834     delete (connectedCircle);
     3531    eLog() << Verbose(2) << "Could not find any connected points!" << endl;
     3532    delete(connectedCircle);
    38353533    return NULL;
    38363534  }
     
    38423540      PlaneNormal.AddVector(&(*Runner)->NormalVector);
    38433541  } else {
    3844     DoeLog(0) && (eLog() << Verbose(0) << "Could not find any triangles for point " << *Point << "." << endl);
     3542    eLog() << Verbose(0) << "Could not find any triangles for point " << *Point << "." << endl;
    38453543    performCriticalExit();
    38463544  }
    3847   PlaneNormal.Scale(1.0 / triangles->size());
    3848   DoLog(1) && (Log() << Verbose(1) << "INFO: Calculated PlaneNormal of all circle points is " << PlaneNormal << "." << endl);
     3545  PlaneNormal.Scale(1.0/triangles->size());
     3546  Log() << Verbose(1) << "INFO: Calculated PlaneNormal of all circle points is " << PlaneNormal << "." << endl;
    38493547  PlaneNormal.Normalize();
    38503548
     
    38553553    AngleZero.ProjectOntoPlane(&PlaneNormal);
    38563554  }
    3857   if ((Reference == NULL) || (AngleZero.NormSquared() < MYEPSILON)) {
    3858     DoLog(1) && (Log() << Verbose(1) << "Using alternatively " << *(*SetOfNeighbours->begin())->node << " as angle 0 referencer." << endl);
     3555  if ((Reference == NULL) || (AngleZero.NormSquared() < MYEPSILON )) {
     3556    Log() << Verbose(1) << "Using alternatively " << *(*SetOfNeighbours->begin())->node << " as angle 0 referencer." << endl;
    38593557    AngleZero.CopyVector((*SetOfNeighbours->begin())->node);
    38603558    AngleZero.SubtractVector(Point->node);
    38613559    AngleZero.ProjectOntoPlane(&PlaneNormal);
    38623560    if (AngleZero.NormSquared() < MYEPSILON) {
    3863       DoeLog(0) && (eLog() << Verbose(0) << "CRITIAL: AngleZero is 0 even with alternative reference. The algorithm has to be changed here!" << endl);
     3561      eLog() << Verbose(0) << "CRITIAL: AngleZero is 0 even with alternative reference. The algorithm has to be changed here!" << endl;
    38643562      performCriticalExit();
    38653563    }
    38663564  }
    3867   DoLog(1) && (Log() << Verbose(1) << "INFO: Reference vector on this plane representing angle 0 is " << AngleZero << "." << endl);
     3565  Log() << Verbose(1) << "INFO: Reference vector on this plane representing angle 0 is " << AngleZero << "." << endl;
    38683566  if (AngleZero.NormSquared() > MYEPSILON)
    38693567    OrthogonalVector.MakeNormalVector(&PlaneNormal, &AngleZero);
    38703568  else
    38713569    OrthogonalVector.MakeNormalVector(&PlaneNormal);
    3872   DoLog(1) && (Log() << Verbose(1) << "INFO: OrthogonalVector on plane is " << OrthogonalVector << "." << endl);
     3570  Log() << Verbose(1) << "INFO: OrthogonalVector on plane is " << OrthogonalVector << "." << endl;
    38733571
    38743572  // go through all connected points and calculate angle
     
    38783576    helper.ProjectOntoPlane(&PlaneNormal);
    38793577    double angle = GetAngle(helper, AngleZero, OrthogonalVector);
    3880     DoLog(0) && (Log() << Verbose(0) << "INFO: Calculated angle is " << angle << " for point " << **listRunner << "." << endl);
    3881     anglesOfPoints.insert(pair<double, TesselPoint*> (angle, (*listRunner)));
    3882   }
    3883 
    3884   for (map<double, TesselPoint*>::iterator AngleRunner = anglesOfPoints.begin(); AngleRunner != anglesOfPoints.end(); AngleRunner++) {
     3578    Log() << Verbose(0) << "INFO: Calculated angle is " << angle << " for point " << **listRunner << "." << endl;
     3579    anglesOfPoints.insert(pair<double, TesselPoint*>(angle, (*listRunner)));
     3580  }
     3581
     3582  for(map<double, TesselPoint*>::iterator AngleRunner = anglesOfPoints.begin(); AngleRunner != anglesOfPoints.end(); AngleRunner++) {
    38853583    connectedCircle->push_back(AngleRunner->second);
    38863584  }
     
    39123610
    39133611  if (SetOfNeighbours == NULL) {
    3914     DoeLog(2) && (eLog() << Verbose(2) << "Could not find any connected points!" << endl);
    3915     delete (connectedCircle);
     3612    eLog() << Verbose(2) << "Could not find any connected points!" << endl;
     3613    delete(connectedCircle);
    39163614    return NULL;
    39173615  }
     
    39243622  }
    39253623
    3926   DoLog(1) && (Log() << Verbose(1) << "INFO: Point is " << *Point << " and Reference is " << *Reference << "." << endl);
     3624  Log() << Verbose(1) << "INFO: Point is " << *Point << " and Reference is " << *Reference << "." << endl;
    39273625  // calculate central point
     3626
    39283627  TesselPointSet::const_iterator TesselA = SetOfNeighbours->begin();
    39293628  TesselPointSet::const_iterator TesselB = SetOfNeighbours->begin();
     
    39353634  while (TesselC != SetOfNeighbours->end()) {
    39363635    helper.MakeNormalVector((*TesselA)->node, (*TesselB)->node, (*TesselC)->node);
    3937     DoLog(0) && (Log() << Verbose(0) << "Making normal vector out of " << *(*TesselA) << ", " << *(*TesselB) << " and " << *(*TesselC) << ":" << helper << endl);
     3636    Log() << Verbose(0) << "Making normal vector out of " << *(*TesselA) << ", " << *(*TesselB) << " and " << *(*TesselC) << ":" << helper << endl;
    39383637    counter++;
    39393638    TesselA++;
     
    39443643  //Log() << Verbose(0) << "Summed vectors " << center << "; number of points " << connectedPoints.size()
    39453644  //  << "; scale factor " << counter;
    3946   PlaneNormal.Scale(1.0 / (double) counter);
    3947   //  Log() << Verbose(1) << "INFO: Calculated center of all circle points is " << center << "." << endl;
    3948   //
    3949   //  // projection plane of the circle is at the closes Point and normal is pointing away from center of all circle points
    3950   //  PlaneNormal.CopyVector(Point->node);
    3951   //  PlaneNormal.SubtractVector(&center);
    3952   //  PlaneNormal.Normalize();
    3953   DoLog(1) && (Log() << Verbose(1) << "INFO: Calculated plane normal of circle is " << PlaneNormal << "." << endl);
     3645  PlaneNormal.Scale(1.0/(double)counter);
     3646//  Log() << Verbose(1) << "INFO: Calculated center of all circle points is " << center << "." << endl;
     3647//
     3648//  // projection plane of the circle is at the closes Point and normal is pointing away from center of all circle points
     3649//  PlaneNormal.CopyVector(Point->node);
     3650//  PlaneNormal.SubtractVector(&center);
     3651//  PlaneNormal.Normalize();
     3652  Log() << Verbose(1) << "INFO: Calculated plane normal of circle is " << PlaneNormal << "." << endl;
    39543653
    39553654  // construct one orthogonal vector
     
    39593658    AngleZero.ProjectOntoPlane(&PlaneNormal);
    39603659  }
    3961   if ((Reference == NULL) || (AngleZero.NormSquared() < MYEPSILON)) {
    3962     DoLog(1) && (Log() << Verbose(1) << "Using alternatively " << *(*SetOfNeighbours->begin())->node << " as angle 0 referencer." << endl);
     3660  if ((Reference == NULL) || (AngleZero.NormSquared() < MYEPSILON )) {
     3661    Log() << Verbose(1) << "Using alternatively " << *(*SetOfNeighbours->begin())->node << " as angle 0 referencer." << endl;
    39633662    AngleZero.CopyVector((*SetOfNeighbours->begin())->node);
    39643663    AngleZero.SubtractVector(Point->node);
    39653664    AngleZero.ProjectOntoPlane(&PlaneNormal);
    39663665    if (AngleZero.NormSquared() < MYEPSILON) {
    3967       DoeLog(0) && (eLog() << Verbose(0) << "CRITIAL: AngleZero is 0 even with alternative reference. The algorithm has to be changed here!" << endl);
     3666      eLog() << Verbose(0) << "CRITIAL: AngleZero is 0 even with alternative reference. The algorithm has to be changed here!" << endl;
    39683667      performCriticalExit();
    39693668    }
    39703669  }
    3971   DoLog(1) && (Log() << Verbose(1) << "INFO: Reference vector on this plane representing angle 0 is " << AngleZero << "." << endl);
     3670  Log() << Verbose(1) << "INFO: Reference vector on this plane representing angle 0 is " << AngleZero << "." << endl;
    39723671  if (AngleZero.NormSquared() > MYEPSILON)
    39733672    OrthogonalVector.MakeNormalVector(&PlaneNormal, &AngleZero);
    39743673  else
    39753674    OrthogonalVector.MakeNormalVector(&PlaneNormal);
    3976   DoLog(1) && (Log() << Verbose(1) << "INFO: OrthogonalVector on plane is " << OrthogonalVector << "." << endl);
     3675  Log() << Verbose(1) << "INFO: OrthogonalVector on plane is " << OrthogonalVector << "." << endl;
    39773676
    39783677  // go through all connected points and calculate angle
    3979   pair<map<double, TesselPoint*>::iterator, bool> InserterTest;
     3678  pair <map<double, TesselPoint*>::iterator, bool > InserterTest;
    39803679  for (TesselPointSet::iterator listRunner = SetOfNeighbours->begin(); listRunner != SetOfNeighbours->end(); listRunner++) {
    39813680    helper.CopyVector((*listRunner)->node);
     
    39843683    double angle = GetAngle(helper, AngleZero, OrthogonalVector);
    39853684    if (angle > M_PI) // the correction is of no use here (and not desired)
    3986       angle = 2. * M_PI - angle;
    3987     DoLog(0) && (Log() << Verbose(0) << "INFO: Calculated angle between " << helper << " and " << AngleZero << " is " << angle << " for point " << **listRunner << "." << endl);
    3988     InserterTest = anglesOfPoints.insert(pair<double, TesselPoint*> (angle, (*listRunner)));
     3685      angle = 2.*M_PI - angle;
     3686    Log() << Verbose(0) << "INFO: Calculated angle between " << helper << " and " << AngleZero << " is " << angle << " for point " << **listRunner << "." << endl;
     3687    InserterTest = anglesOfPoints.insert(pair<double, TesselPoint*>(angle, (*listRunner)));
    39893688    if (!InserterTest.second) {
    3990       DoeLog(0) && (eLog() << Verbose(0) << "GetCircleOfSetOfPoints() got two atoms with same angle: " << *((InserterTest.first)->second) << " and " << (*listRunner) << endl);
     3689      eLog() << Verbose(0) << "GetCircleOfSetOfPoints() got two atoms with same angle: " << *((InserterTest.first)->second) << " and " << (*listRunner) << endl;
    39913690      performCriticalExit();
    39923691    }
    39933692  }
    39943693
    3995   for (map<double, TesselPoint*>::iterator AngleRunner = anglesOfPoints.begin(); AngleRunner != anglesOfPoints.end(); AngleRunner++) {
     3694  for(map<double, TesselPoint*>::iterator AngleRunner = anglesOfPoints.begin(); AngleRunner != anglesOfPoints.end(); AngleRunner++) {
    39963695    connectedCircle->push_back(AngleRunner->second);
    39973696  }
     
    40083707ListOfTesselPointList * Tesselation::GetPathsOfConnectedPoints(const TesselPoint* const Point) const
    40093708{
    4010   Info FunctionInfo(__func__);
     3709        Info FunctionInfo(__func__);
    40113710  map<double, TesselPoint*> anglesOfPoints;
    4012   list<TesselPointList *> *ListOfPaths = new list<TesselPointList *> ;
     3711  list< TesselPointList *> *ListOfPaths = new list< TesselPointList *>;
    40133712  TesselPointList *connectedPath = NULL;
    40143713  Vector center;
     
    40223721  class BoundaryLineSet *CurrentLine = NULL;
    40233722  class BoundaryLineSet *StartLine = NULL;
     3723
    40243724  // find the respective boundary point
    40253725  PointMap::const_iterator PointRunner = PointsOnBoundary.find(Point->nr);
     
    40273727    ReferencePoint = PointRunner->second;
    40283728  } else {
    4029     DoeLog(1) && (eLog() << Verbose(1) << "GetPathOfConnectedPoints() could not find the BoundaryPoint belonging to " << *Point << "." << endl);
     3729    eLog() << Verbose(1) << "GetPathOfConnectedPoints() could not find the BoundaryPoint belonging to " << *Point << "." << endl;
    40303730    return NULL;
    40313731  }
    40323732
    4033   map<class BoundaryLineSet *, bool> TouchedLine;
    4034   map<class BoundaryTriangleSet *, bool> TouchedTriangle;
    4035   map<class BoundaryLineSet *, bool>::iterator LineRunner;
    4036   map<class BoundaryTriangleSet *, bool>::iterator TriangleRunner;
     3733  map <class BoundaryLineSet *, bool> TouchedLine;
     3734  map <class BoundaryTriangleSet *, bool> TouchedTriangle;
     3735  map <class BoundaryLineSet *, bool>::iterator LineRunner;
     3736  map <class BoundaryTriangleSet *, bool>::iterator TriangleRunner;
    40373737  for (LineMap::iterator Runner = ReferencePoint->lines.begin(); Runner != ReferencePoint->lines.end(); Runner++) {
    4038     TouchedLine.insert(pair<class BoundaryLineSet *, bool> (Runner->second, false));
     3738    TouchedLine.insert( pair <class BoundaryLineSet *, bool>(Runner->second, false) );
    40393739    for (TriangleMap::iterator Sprinter = Runner->second->triangles.begin(); Sprinter != Runner->second->triangles.end(); Sprinter++)
    4040       TouchedTriangle.insert(pair<class BoundaryTriangleSet *, bool> (Sprinter->second, false));
     3740      TouchedTriangle.insert( pair <class BoundaryTriangleSet *, bool>(Sprinter->second, false) );
    40413741  }
    40423742  if (!ReferencePoint->lines.empty()) {
     
    40443744      LineRunner = TouchedLine.find(runner->second);
    40453745      if (LineRunner == TouchedLine.end()) {
    4046         DoeLog(1) && (eLog() << Verbose(1) << "I could not find " << *runner->second << " in the touched list." << endl);
     3746        eLog() << Verbose(1) << "I could not find " << *runner->second << " in the touched list." << endl;
    40473747      } else if (!LineRunner->second) {
    40483748        LineRunner->second = true;
     
    40523752        StartLine = CurrentLine;
    40533753        CurrentPoint = CurrentLine->GetOtherEndpoint(ReferencePoint);
    4054         DoLog(1) && (Log() << Verbose(1) << "INFO: Beginning path retrieval at " << *CurrentPoint << " of line " << *CurrentLine << "." << endl);
     3754        Log() << Verbose(1)<< "INFO: Beginning path retrieval at " << *CurrentPoint << " of line " << *CurrentLine << "." << endl;
    40553755        do {
    40563756          // push current one
    4057           DoLog(1) && (Log() << Verbose(1) << "INFO: Putting " << *CurrentPoint << " at end of path." << endl);
     3757          Log() << Verbose(1) << "INFO: Putting " << *CurrentPoint << " at end of path." << endl;
    40583758          connectedPath->push_back(CurrentPoint->node);
    40593759
    40603760          // find next triangle
    40613761          for (TriangleMap::iterator Runner = CurrentLine->triangles.begin(); Runner != CurrentLine->triangles.end(); Runner++) {
    4062             DoLog(1) && (Log() << Verbose(1) << "INFO: Inspecting triangle " << *Runner->second << "." << endl);
     3762            Log() << Verbose(1) << "INFO: Inspecting triangle " << *Runner->second << "." << endl;
    40633763            if ((Runner->second != triangle)) { // look for first triangle not equal to old one
    40643764              triangle = Runner->second;
     
    40673767                if (!TriangleRunner->second) {
    40683768                  TriangleRunner->second = true;
    4069                   DoLog(1) && (Log() << Verbose(1) << "INFO: Connecting triangle is " << *triangle << "." << endl);
     3769                  Log() << Verbose(1) << "INFO: Connecting triangle is " << *triangle << "." << endl;
    40703770                  break;
    40713771                } else {
    4072                   DoLog(1) && (Log() << Verbose(1) << "INFO: Skipping " << *triangle << ", as we have already visited it." << endl);
     3772                  Log() << Verbose(1) << "INFO: Skipping " << *triangle << ", as we have already visited it." << endl;
    40733773                  triangle = NULL;
    40743774                }
    40753775              } else {
    4076                 DoeLog(1) && (eLog() << Verbose(1) << "I could not find " << *triangle << " in the touched list." << endl);
     3776                eLog() << Verbose(1) << "I could not find " << *triangle << " in the touched list." << endl;
    40773777                triangle = NULL;
    40783778              }
     
    40823782            break;
    40833783          // find next line
    4084           for (int i = 0; i < 3; i++) {
     3784          for (int i=0;i<3;i++) {
    40853785            if ((triangle->lines[i] != CurrentLine) && (triangle->lines[i]->ContainsBoundaryPoint(ReferencePoint))) { // not the current line and still containing Point
    40863786              CurrentLine = triangle->lines[i];
    4087               DoLog(1) && (Log() << Verbose(1) << "INFO: Connecting line is " << *CurrentLine << "." << endl);
     3787              Log() << Verbose(1) << "INFO: Connecting line is " << *CurrentLine << "." << endl;
    40883788              break;
    40893789            }
     
    40913791          LineRunner = TouchedLine.find(CurrentLine);
    40923792          if (LineRunner == TouchedLine.end())
    4093             DoeLog(1) && (eLog() << Verbose(1) << "I could not find " << *CurrentLine << " in the touched list." << endl);
     3793            eLog() << Verbose(1) << "I could not find " << *CurrentLine << " in the touched list." << endl;
    40943794          else
    40953795            LineRunner->second = true;
     
    40993799        } while (CurrentLine != StartLine);
    41003800        // last point is missing, as it's on start line
    4101         DoLog(1) && (Log() << Verbose(1) << "INFO: Putting " << *CurrentPoint << " at end of path." << endl);
     3801        Log() << Verbose(1) << "INFO: Putting " << *CurrentPoint << " at end of path." << endl;
    41023802        if (StartLine->GetOtherEndpoint(ReferencePoint)->node != connectedPath->back())
    41033803          connectedPath->push_back(StartLine->GetOtherEndpoint(ReferencePoint)->node);
     
    41053805        ListOfPaths->push_back(connectedPath);
    41063806      } else {
    4107         DoLog(1) && (Log() << Verbose(1) << "INFO: Skipping " << *runner->second << ", as we have already visited it." << endl);
     3807        Log() << Verbose(1) << "INFO: Skipping " << *runner->second << ", as we have already visited it." << endl;
    41083808      }
    41093809    }
    41103810  } else {
    4111     DoeLog(1) && (eLog() << Verbose(1) << "There are no lines attached to " << *ReferencePoint << "." << endl);
     3811    eLog() << Verbose(1) << "There are no lines attached to " << *ReferencePoint << "." << endl;
    41123812  }
    41133813
     
    41233823ListOfTesselPointList * Tesselation::GetClosedPathsOfConnectedPoints(const TesselPoint* const Point) const
    41243824{
    4125   Info FunctionInfo(__func__);
     3825        Info FunctionInfo(__func__);
    41263826  list<TesselPointList *> *ListofPaths = GetPathsOfConnectedPoints(Point);
    4127   list<TesselPointList *> *ListofClosedPaths = new list<TesselPointList *> ;
     3827  list<TesselPointList *> *ListofClosedPaths = new list<TesselPointList *>;
    41283828  TesselPointList *connectedPath = NULL;
    41293829  TesselPointList *newPath = NULL;
    41303830  int count = 0;
     3831
     3832
    41313833  TesselPointList::iterator CircleRunner;
    41323834  TesselPointList::iterator CircleStart;
    41333835
    4134   for (list<TesselPointList *>::iterator ListRunner = ListofPaths->begin(); ListRunner != ListofPaths->end(); ListRunner++) {
     3836  for(list<TesselPointList *>::iterator ListRunner = ListofPaths->begin(); ListRunner != ListofPaths->end(); ListRunner++) {
    41353837    connectedPath = *ListRunner;
    41363838
    4137     DoLog(1) && (Log() << Verbose(1) << "INFO: Current path is " << connectedPath << "." << endl);
     3839    Log() << Verbose(1) << "INFO: Current path is " << connectedPath << "." << endl;
    41383840
    41393841    // go through list, look for reappearance of starting Point and count
    41403842    CircleStart = connectedPath->begin();
     3843
    41413844    // go through list, look for reappearance of starting Point and create list
    41423845    TesselPointList::iterator Marker = CircleStart;
     
    41443847      if ((*CircleRunner == *CircleStart) && (CircleRunner != CircleStart)) { // is not the very first point
    41453848        // we have a closed circle from Marker to new Marker
    4146         DoLog(1) && (Log() << Verbose(1) << count + 1 << ". closed path consists of: ");
     3849        Log() << Verbose(1) << count+1 << ". closed path consists of: ";
    41473850        newPath = new TesselPointList;
    41483851        TesselPointList::iterator CircleSprinter = Marker;
    41493852        for (; CircleSprinter != CircleRunner; CircleSprinter++) {
    41503853          newPath->push_back(*CircleSprinter);
    4151           DoLog(0) && (Log() << Verbose(0) << (**CircleSprinter) << " <-> ");
     3854          Log() << Verbose(0) << (**CircleSprinter) << " <-> ";
    41523855        }
    4153         DoLog(0) && (Log() << Verbose(0) << ".." << endl);
     3856        Log() << Verbose(0) << ".." << endl;
    41543857        count++;
    41553858        Marker = CircleRunner;
     
    41603863    }
    41613864  }
    4162   DoLog(1) && (Log() << Verbose(1) << "INFO: " << count << " closed additional path(s) have been created." << endl);
     3865  Log() << Verbose(1) << "INFO: " << count << " closed additional path(s) have been created." << endl;
    41633866
    41643867  // delete list of paths
     
    41663869    connectedPath = *(ListofPaths->begin());
    41673870    ListofPaths->remove(connectedPath);
    4168     delete (connectedPath);
    4169   }
    4170   delete (ListofPaths);
     3871    delete(connectedPath);
     3872  }
     3873  delete(ListofPaths);
    41713874
    41723875  // exit
    41733876  return ListofClosedPaths;
    4174 }
    4175 ;
     3877};
     3878
    41763879
    41773880/** Gets all belonging triangles for a given BoundaryPointSet.
     
    41823885TriangleSet *Tesselation::GetAllTriangles(const BoundaryPointSet * const Point) const
    41833886{
    4184   Info FunctionInfo(__func__);
    4185   TriangleSet *connectedTriangles = new TriangleSet;
     3887        Info FunctionInfo(__func__);
     3888        TriangleSet *connectedTriangles = new TriangleSet;
    41863889
    41873890  if (Point == NULL) {
    4188     DoeLog(1) && (eLog() << Verbose(1) << "Point given is NULL." << endl);
     3891    eLog() << Verbose(1) << "Point given is NULL." << endl;
    41893892  } else {
    41903893    // go through its lines and insert all triangles
    41913894    for (LineMap::const_iterator LineRunner = Point->lines.begin(); LineRunner != Point->lines.end(); LineRunner++)
    41923895      for (TriangleMap::iterator TriangleRunner = (LineRunner->second)->triangles.begin(); TriangleRunner != (LineRunner->second)->triangles.end(); TriangleRunner++) {
    4193         connectedTriangles->insert(TriangleRunner->second);
    4194       }
     3896      connectedTriangles->insert(TriangleRunner->second);
     3897    }
    41953898  }
    41963899
    41973900  return connectedTriangles;
    4198 }
    4199 ;
     3901};
     3902
    42003903
    42013904/** Removes a boundary point from the envelope while keeping it closed.
     
    42103913 * \return volume added to the volume inside the tesselated surface by the removal
    42113914 */
    4212 double Tesselation::RemovePointFromTesselatedSurface(class BoundaryPointSet *point)
    4213 {
     3915double Tesselation::RemovePointFromTesselatedSurface(class BoundaryPointSet *point) {
    42143916  class BoundaryLineSet *line = NULL;
    42153917  class BoundaryTriangleSet *triangle = NULL;
     
    42193921
    42203922  if (point == NULL) {
    4221     DoeLog(1) && (eLog() << Verbose(1) << "Cannot remove the point " << point << ", it's NULL!" << endl);
     3923    eLog() << Verbose(1) << "Cannot remove the point " << point << ", it's NULL!" << endl;
    42223924    return 0.;
    42233925  } else
    4224     DoLog(0) && (Log() << Verbose(0) << "Removing point " << *point << " from tesselated boundary ..." << endl);
     3926    Log() << Verbose(0) << "Removing point " << *point << " from tesselated boundary ..." << endl;
    42253927
    42263928  // copy old location for the volume
     
    42293931  // get list of connected points
    42303932  if (point->lines.empty()) {
    4231     DoeLog(1) && (eLog() << Verbose(1) << "Cannot remove the point " << *point << ", it's connected to no lines!" << endl);
     3933    eLog() << Verbose(1) << "Cannot remove the point " << *point << ", it's connected to no lines!" << endl;
    42323934    return 0.;
    42333935  }
     
    42383940  // gather all triangles
    42393941  for (LineMap::iterator LineRunner = point->lines.begin(); LineRunner != point->lines.end(); LineRunner++)
    4240     count += LineRunner->second->triangles.size();
     3942    count+=LineRunner->second->triangles.size();
    42413943  TriangleMap Candidates;
    42423944  for (LineMap::iterator LineRunner = point->lines.begin(); LineRunner != point->lines.end(); LineRunner++) {
     
    42443946    for (TriangleMap::iterator TriangleRunner = line->triangles.begin(); TriangleRunner != line->triangles.end(); TriangleRunner++) {
    42453947      triangle = TriangleRunner->second;
    4246       Candidates.insert(TrianglePair(triangle->Nr, triangle));
     3948      Candidates.insert( TrianglePair (triangle->Nr, triangle) );
    42473949    }
    42483950  }
    42493951
    42503952  // remove all triangles
    4251   count = 0;
     3953  count=0;
    42523954  NormalVector.Zero();
    42533955  for (TriangleMap::iterator Runner = Candidates.begin(); Runner != Candidates.end(); Runner++) {
    4254     DoLog(1) && (Log() << Verbose(1) << "INFO: Removing triangle " << *(Runner->second) << "." << endl);
     3956    Log() << Verbose(1) << "INFO: Removing triangle " << *(Runner->second) << "." << endl;
    42553957    NormalVector.SubtractVector(&Runner->second->NormalVector); // has to point inward
    42563958    RemoveTesselationTriangle(Runner->second);
    42573959    count++;
    42583960  }
    4259   DoLog(1) && (Log() << Verbose(1) << count << " triangles were removed." << endl);
     3961  Log() << Verbose(1) << count << " triangles were removed." << endl;
    42603962
    42613963  list<TesselPointList *>::iterator ListAdvance = ListOfClosedPaths->begin();
     
    42663968  double smallestangle;
    42673969  Vector Point, Reference, OrthogonalVector;
    4268   if (count > 2) { // less than three triangles, then nothing will be created
     3970  if (count > 2) {  // less than three triangles, then nothing will be created
    42693971    class TesselPoint *TriangleCandidates[3];
    42703972    count = 0;
    4271     for (; ListRunner != ListOfClosedPaths->end(); ListRunner = ListAdvance) { // go through all closed paths
     3973    for ( ; ListRunner != ListOfClosedPaths->end(); ListRunner = ListAdvance) { // go through all closed paths
    42723974      if (ListAdvance != ListOfClosedPaths->end())
    42733975        ListAdvance++;
    42743976
    42753977      connectedPath = *ListRunner;
     3978
    42763979      // re-create all triangles by going through connected points list
    42773980      LineList NewLines;
    4278       for (; !connectedPath->empty();) {
     3981      for (;!connectedPath->empty();) {
    42793982        // search middle node with widest angle to next neighbours
    42803983        EndNode = connectedPath->end();
    42813984        smallestangle = 0.;
    42823985        for (MiddleNode = connectedPath->begin(); MiddleNode != connectedPath->end(); MiddleNode++) {
    4283           DoLog(1) && (Log() << Verbose(1) << "INFO: MiddleNode is " << **MiddleNode << "." << endl);
     3986          Log() << Verbose(1) << "INFO: MiddleNode is " << **MiddleNode << "." << endl;
    42843987          // construct vectors to next and previous neighbour
    42853988          StartNode = MiddleNode;
     
    43024005          angle = GetAngle(Point, Reference, OrthogonalVector);
    43034006          //if (angle < M_PI)  // no wrong-sided triangles, please?
    4304           if (fabs(angle - M_PI) < fabs(smallestangle - M_PI)) { // get straightest angle (i.e. construct those triangles with smallest area first)
    4305             smallestangle = angle;
    4306             EndNode = MiddleNode;
    4307           }
     4007            if(fabs(angle - M_PI) < fabs(smallestangle - M_PI)) { // get straightest angle (i.e. construct those triangles with smallest area first)
     4008              smallestangle = angle;
     4009              EndNode = MiddleNode;
     4010            }
    43084011        }
    43094012        MiddleNode = EndNode;
    43104013        if (MiddleNode == connectedPath->end()) {
    4311           DoeLog(0) && (eLog() << Verbose(0) << "CRITICAL: Could not find a smallest angle!" << endl);
     4014          eLog() << Verbose(0) << "CRITICAL: Could not find a smallest angle!" << endl;
    43124015          performCriticalExit();
    43134016        }
     
    43194022        if (EndNode == connectedPath->end())
    43204023          EndNode = connectedPath->begin();
    4321         DoLog(2) && (Log() << Verbose(2) << "INFO: StartNode is " << **StartNode << "." << endl);
    4322         DoLog(2) && (Log() << Verbose(2) << "INFO: MiddleNode is " << **MiddleNode << "." << endl);
    4323         DoLog(2) && (Log() << Verbose(2) << "INFO: EndNode is " << **EndNode << "." << endl);
    4324         DoLog(1) && (Log() << Verbose(1) << "INFO: Attempting to create triangle " << (*StartNode)->Name << ", " << (*MiddleNode)->Name << " and " << (*EndNode)->Name << "." << endl);
     4024        Log() << Verbose(2) << "INFO: StartNode is " << **StartNode << "." << endl;
     4025        Log() << Verbose(2) << "INFO: MiddleNode is " << **MiddleNode << "." << endl;
     4026        Log() << Verbose(2) << "INFO: EndNode is " << **EndNode << "." << endl;
     4027        Log() << Verbose(1) << "INFO: Attempting to create triangle " << (*StartNode)->Name << ", " << (*MiddleNode)->Name << " and " << (*EndNode)->Name << "." << endl;
    43254028        TriangleCandidates[0] = *StartNode;
    43264029        TriangleCandidates[1] = *MiddleNode;
     
    43284031        triangle = GetPresentTriangle(TriangleCandidates);
    43294032        if (triangle != NULL) {
    4330           DoeLog(0) && (eLog() << Verbose(0) << "New triangle already present, skipping!" << endl);
     4033          eLog() << Verbose(0) << "New triangle already present, skipping!" << endl;
    43314034          StartNode++;
    43324035          MiddleNode++;
     
    43404043          continue;
    43414044        }
    4342         DoLog(3) && (Log() << Verbose(3) << "Adding new triangle points." << endl);
     4045        Log() << Verbose(3) << "Adding new triangle points."<< endl;
    43434046        AddTesselationPoint(*StartNode, 0);
    43444047        AddTesselationPoint(*MiddleNode, 1);
    43454048        AddTesselationPoint(*EndNode, 2);
    4346         DoLog(3) && (Log() << Verbose(3) << "Adding new triangle lines." << endl);
    4347         AddTesselationLine(NULL, NULL, TPS[0], TPS[1], 0);
    4348         AddTesselationLine(NULL, NULL, TPS[0], TPS[2], 1);
     4049        Log() << Verbose(3) << "Adding new triangle lines."<< endl;
     4050        AddTesselationLine(TPS[0], TPS[1], 0);
     4051        AddTesselationLine(TPS[0], TPS[2], 1);
    43494052        NewLines.push_back(BLS[1]);
    4350         AddTesselationLine(NULL, NULL, TPS[1], TPS[2], 2);
     4053        AddTesselationLine(TPS[1], TPS[2], 2);
    43514054        BTS = new class BoundaryTriangleSet(BLS, TrianglesOnBoundaryCount);
    43524055        BTS->GetNormalVector(NormalVector);
     
    43594062        // prepare nodes for next triangle
    43604063        StartNode = EndNode;
    4361         DoLog(2) && (Log() << Verbose(2) << "Removing " << **MiddleNode << " from closed path, remaining points: " << connectedPath->size() << "." << endl);
     4064        Log() << Verbose(2) << "Removing " << **MiddleNode << " from closed path, remaining points: " << connectedPath->size() << "." << endl;
    43624065        connectedPath->remove(*MiddleNode); // remove the middle node (it is surrounded by triangles)
    43634066        if (connectedPath->size() == 2) { // we are done
     
    43664069          break;
    43674070        } else if (connectedPath->size() < 2) { // something's gone wrong!
    4368           DoeLog(0) && (eLog() << Verbose(0) << "CRITICAL: There are only two endpoints left!" << endl);
     4071          eLog() << Verbose(0) << "CRITICAL: There are only two endpoints left!" << endl;
    43694072          performCriticalExit();
    43704073        } else {
     
    43864089        do {
    43874090          maxgain = 0;
    4388           for (LineList::iterator Runner = NewLines.begin(); Runner != NewLines.end(); Runner++) {
     4091          for(LineList::iterator Runner = NewLines.begin(); Runner != NewLines.end(); Runner++) {
    43894092            tmp = PickFarthestofTwoBaselines(*Runner);
    43904093            if (maxgain < tmp) {
     
    43954098          if (maxgain != 0) {
    43964099            volume += maxgain;
    4397             DoLog(1) && (Log() << Verbose(1) << "Flipping baseline with highest volume" << **Candidate << "." << endl);
     4100            Log() << Verbose(1) << "Flipping baseline with highest volume" << **Candidate << "." << endl;
    43984101            OtherBase = FlipBaseline(*Candidate);
    43994102            NewLines.erase(Candidate);
     
    44044107
    44054108      ListOfClosedPaths->remove(connectedPath);
    4406       delete (connectedPath);
    4407     }
    4408     DoLog(0) && (Log() << Verbose(0) << count << " triangles were created." << endl);
     4109      delete(connectedPath);
     4110    }
     4111    Log() << Verbose(0) << count << " triangles were created." << endl;
    44094112  } else {
    44104113    while (!ListOfClosedPaths->empty()) {
     
    44124115      connectedPath = *ListRunner;
    44134116      ListOfClosedPaths->remove(connectedPath);
    4414       delete (connectedPath);
    4415     }
    4416     DoLog(0) && (Log() << Verbose(0) << "No need to create any triangles." << endl);
    4417   }
    4418   delete (ListOfClosedPaths);
    4419 
    4420   DoLog(0) && (Log() << Verbose(0) << "Removed volume is " << volume << "." << endl);
     4117      delete(connectedPath);
     4118    }
     4119    Log() << Verbose(0) << "No need to create any triangles." << endl;
     4120  }
     4121  delete(ListOfClosedPaths);
     4122
     4123  Log() << Verbose(0) << "Removed volume is " << volume << "." << endl;
    44214124
    44224125  return volume;
    4423 }
    4424 ;
     4126};
     4127
     4128
    44254129
    44264130/**
     
    44344138TriangleList *Tesselation::FindTriangles(const TesselPoint* const Points[3]) const
    44354139{
    4436   Info FunctionInfo(__func__);
    4437   TriangleList *result = new TriangleList;
     4140        Info FunctionInfo(__func__);
     4141        TriangleList *result = new TriangleList;
    44384142  LineMap::const_iterator FindLine;
    44394143  TriangleMap::const_iterator FindTriangle;
     
    44594163      for (int i = 0; i < 3; i++) {
    44604164        if (TrianglePoints[i] != NULL) {
    4461           for (int j = i + 1; j < 3; j++) {
     4165          for (int j = i+1; j < 3; j++) {
    44624166            if (TrianglePoints[j] != NULL) {
    44634167              for (FindLine = TrianglePoints[i]->lines.find(TrianglePoints[j]->node->nr); // is a multimap!
    4464               (FindLine != TrianglePoints[i]->lines.end()) && (FindLine->first == TrianglePoints[j]->node->nr); FindLine++) {
    4465                 for (FindTriangle = FindLine->second->triangles.begin(); FindTriangle != FindLine->second->triangles.end(); FindTriangle++) {
     4168                  (FindLine != TrianglePoints[i]->lines.end()) && (FindLine->first == TrianglePoints[j]->node->nr);
     4169                  FindLine++) {
     4170                for (FindTriangle = FindLine->second->triangles.begin();
     4171                    FindTriangle != FindLine->second->triangles.end();
     4172                    FindTriangle++) {
    44664173                  if (FindTriangle->second->IsPresentTupel(TrianglePoints)) {
    44674174                    result->push_back(FindTriangle->second);
     
    44784185    case 1: // copy all triangles of the respective line
    44794186    {
    4480       int i = 0;
     4187      int i=0;
    44814188      for (; i < 3; i++)
    44824189        if (TrianglePoints[i] == NULL)
    44834190          break;
    4484       for (FindLine = TrianglePoints[(i + 1) % 3]->lines.find(TrianglePoints[(i + 2) % 3]->node->nr); // is a multimap!
    4485       (FindLine != TrianglePoints[(i + 1) % 3]->lines.end()) && (FindLine->first == TrianglePoints[(i + 2) % 3]->node->nr); FindLine++) {
    4486         for (FindTriangle = FindLine->second->triangles.begin(); FindTriangle != FindLine->second->triangles.end(); FindTriangle++) {
     4191      for (FindLine = TrianglePoints[(i+1)%3]->lines.find(TrianglePoints[(i+2)%3]->node->nr); // is a multimap!
     4192          (FindLine != TrianglePoints[(i+1)%3]->lines.end()) && (FindLine->first == TrianglePoints[(i+2)%3]->node->nr);
     4193          FindLine++) {
     4194        for (FindTriangle = FindLine->second->triangles.begin();
     4195            FindTriangle != FindLine->second->triangles.end();
     4196            FindTriangle++) {
    44874197          if (FindTriangle->second->IsPresentTupel(TrianglePoints)) {
    44884198            result->push_back(FindTriangle->second);
     
    44944204    case 2: // copy all triangles of the respective point
    44954205    {
    4496       int i = 0;
     4206      int i=0;
    44974207      for (; i < 3; i++)
    44984208        if (TrianglePoints[i] != NULL)
     
    45124222    }
    45134223    default:
    4514       DoeLog(0) && (eLog() << Verbose(0) << "Number of wildcards is greater than 3, cannot happen!" << endl);
     4224      eLog() << Verbose(0) << "Number of wildcards is greater than 3, cannot happen!" << endl;
    45154225      performCriticalExit();
    45164226      break;
     
    45204230}
    45214231
    4522 struct BoundaryLineSetCompare
    4523 {
    4524   bool operator()(const BoundaryLineSet * const a, const BoundaryLineSet * const b)
    4525   {
     4232struct BoundaryLineSetCompare {
     4233  bool operator() (const BoundaryLineSet * const a, const BoundaryLineSet * const b) {
    45264234    int lowerNra = -1;
    45274235    int lowerNrb = -1;
     
    45414249    else if (a->endpoints[lowerNra] > b->endpoints[lowerNrb])
    45424250      return false;
    4543     else { // both lower-numbered endpoints are the same ...
    4544       if (a->endpoints[(lowerNra + 1) % 2] < b->endpoints[(lowerNrb + 1) % 2])
    4545         return true;
    4546       else if (a->endpoints[(lowerNra + 1) % 2] > b->endpoints[(lowerNrb + 1) % 2])
    4547         return false;
     4251    else {  // both lower-numbered endpoints are the same ...
     4252     if (a->endpoints[(lowerNra+1)%2] < b->endpoints[(lowerNrb+1)%2])
     4253       return true;
     4254     else if (a->endpoints[(lowerNra+1)%2] > b->endpoints[(lowerNrb+1)%2])
     4255       return false;
    45484256    }
    45494257    return false;
    4550   }
    4551   ;
     4258  };
    45524259};
    45534260
     
    45624269IndexToIndex * Tesselation::FindAllDegeneratedLines()
    45634270{
    4564   Info FunctionInfo(__func__);
    4565   UniqueLines AllLines;
     4271        Info FunctionInfo(__func__);
     4272        UniqueLines AllLines;
    45664273  IndexToIndex * DegeneratedLines = new IndexToIndex;
    45674274
    45684275  // sanity check
    45694276  if (LinesOnBoundary.empty()) {
    4570     DoeLog(2) && (eLog() << Verbose(2) << "FindAllDegeneratedTriangles() was called without any tesselation structure.");
     4277    eLog() << Verbose(2) << "FindAllDegeneratedTriangles() was called without any tesselation structure.";
    45714278    return DegeneratedLines;
    45724279  }
     4280
    45734281  LineMap::iterator LineRunner1;
    4574   pair<UniqueLines::iterator, bool> tester;
     4282  pair< UniqueLines::iterator, bool> tester;
    45754283  for (LineRunner1 = LinesOnBoundary.begin(); LineRunner1 != LinesOnBoundary.end(); ++LineRunner1) {
    4576     tester = AllLines.insert(LineRunner1->second);
     4284    tester = AllLines.insert( LineRunner1->second );
    45774285    if (!tester.second) { // found degenerated line
    4578       DegeneratedLines->insert(pair<int, int> (LineRunner1->second->Nr, (*tester.first)->Nr));
    4579       DegeneratedLines->insert(pair<int, int> ((*tester.first)->Nr, LineRunner1->second->Nr));
     4286      DegeneratedLines->insert ( pair<int, int> (LineRunner1->second->Nr, (*tester.first)->Nr) );
     4287      DegeneratedLines->insert ( pair<int, int> ((*tester.first)->Nr, LineRunner1->second->Nr) );
    45804288    }
    45814289  }
     
    45834291  AllLines.clear();
    45844292
    4585   DoLog(0) && (Log() << Verbose(0) << "FindAllDegeneratedLines() found " << DegeneratedLines->size() << " lines." << endl);
     4293  Log() << Verbose(0) << "FindAllDegeneratedLines() found " << DegeneratedLines->size() << " lines." << endl;
    45864294  IndexToIndex::iterator it;
    45874295  for (it = DegeneratedLines->begin(); it != DegeneratedLines->end(); it++) {
     
    45894297    const LineMap::const_iterator Line2 = LinesOnBoundary.find((*it).second);
    45904298    if (Line1 != LinesOnBoundary.end() && Line2 != LinesOnBoundary.end())
    4591       DoLog(0) && (Log() << Verbose(0) << *Line1->second << " => " << *Line2->second << endl);
     4299      Log() << Verbose(0) << *Line1->second << " => " << *Line2->second << endl;
    45924300    else
    4593       DoeLog(1) && (eLog() << Verbose(1) << "Either " << (*it).first << " or " << (*it).second << " are not in LinesOnBoundary!" << endl);
     4301      eLog() << Verbose(1) << "Either " << (*it).first << " or " << (*it).second << " are not in LinesOnBoundary!" << endl;
    45944302  }
    45954303
     
    46054313IndexToIndex * Tesselation::FindAllDegeneratedTriangles()
    46064314{
    4607   Info FunctionInfo(__func__);
     4315        Info FunctionInfo(__func__);
    46084316  IndexToIndex * DegeneratedLines = FindAllDegeneratedLines();
    46094317  IndexToIndex * DegeneratedTriangles = new IndexToIndex;
     4318
    46104319  TriangleMap::iterator TriangleRunner1, TriangleRunner2;
    46114320  LineMap::iterator Liner;
     
    46224331    for (TriangleRunner1 = line1->triangles.begin(); TriangleRunner1 != line1->triangles.end(); ++TriangleRunner1) {
    46234332      for (TriangleRunner2 = line2->triangles.begin(); TriangleRunner2 != line2->triangles.end(); ++TriangleRunner2) {
    4624         if ((TriangleRunner1->second != TriangleRunner2->second) && (TriangleRunner1->second->IsPresentTupel(TriangleRunner2->second))) {
    4625           DegeneratedTriangles->insert(pair<int, int> (TriangleRunner1->second->Nr, TriangleRunner2->second->Nr));
    4626           DegeneratedTriangles->insert(pair<int, int> (TriangleRunner2->second->Nr, TriangleRunner1->second->Nr));
     4333        if ((TriangleRunner1->second != TriangleRunner2->second)
     4334          && (TriangleRunner1->second->IsPresentTupel(TriangleRunner2->second))) {
     4335          DegeneratedTriangles->insert( pair<int, int> (TriangleRunner1->second->Nr, TriangleRunner2->second->Nr) );
     4336          DegeneratedTriangles->insert( pair<int, int> (TriangleRunner2->second->Nr, TriangleRunner1->second->Nr) );
    46274337        }
    46284338      }
    46294339    }
    46304340  }
    4631   delete (DegeneratedLines);
    4632 
    4633   DoLog(0) && (Log() << Verbose(0) << "FindAllDegeneratedTriangles() found " << DegeneratedTriangles->size() << " triangles:" << endl);
     4341  delete(DegeneratedLines);
     4342
     4343  Log() << Verbose(0) << "FindAllDegeneratedTriangles() found " << DegeneratedTriangles->size() << " triangles:" << endl;
    46344344  IndexToIndex::iterator it;
    46354345  for (it = DegeneratedTriangles->begin(); it != DegeneratedTriangles->end(); it++)
    4636     DoLog(0) && (Log() << Verbose(0) << (*it).first << " => " << (*it).second << endl);
     4346      Log() << Verbose(0) << (*it).first << " => " << (*it).second << endl;
    46374347
    46384348  return DegeneratedTriangles;
     
    46454355void Tesselation::RemoveDegeneratedTriangles()
    46464356{
    4647   Info FunctionInfo(__func__);
     4357        Info FunctionInfo(__func__);
    46484358  IndexToIndex * DegeneratedTriangles = FindAllDegeneratedTriangles();
    46494359  TriangleMap::iterator finder;
    46504360  BoundaryTriangleSet *triangle = NULL, *partnerTriangle = NULL;
    4651   int count = 0;
    4652 
    4653   for (IndexToIndex::iterator TriangleKeyRunner = DegeneratedTriangles->begin(); TriangleKeyRunner != DegeneratedTriangles->end(); ++TriangleKeyRunner) {
     4361  int count  = 0;
     4362
     4363  for (IndexToIndex::iterator TriangleKeyRunner = DegeneratedTriangles->begin();
     4364    TriangleKeyRunner != DegeneratedTriangles->end(); ++TriangleKeyRunner
     4365  ) {
    46544366    finder = TrianglesOnBoundary.find(TriangleKeyRunner->first);
    46554367    if (finder != TrianglesOnBoundary.end())
     
    46684380        trianglesShareLine = trianglesShareLine || triangle->lines[i] == partnerTriangle->lines[j];
    46694381
    4670     if (trianglesShareLine && (triangle->endpoints[1]->LinesCount > 2) && (triangle->endpoints[2]->LinesCount > 2) && (triangle->endpoints[0]->LinesCount > 2)) {
     4382    if (trianglesShareLine
     4383      && (triangle->endpoints[1]->LinesCount > 2)
     4384      && (triangle->endpoints[2]->LinesCount > 2)
     4385      && (triangle->endpoints[0]->LinesCount > 2)
     4386    ) {
    46714387      // check whether we have to fix lines
    46724388      BoundaryTriangleSet *Othertriangle = NULL;
     
    46884404            // the line of triangle receives the degenerated ones
    46894405            triangle->lines[i]->triangles.erase(Othertriangle->Nr);
    4690             triangle->lines[i]->triangles.insert(TrianglePair(partnerTriangle->Nr, partnerTriangle));
    4691             for (int k = 0; k < 3; k++)
     4406            triangle->lines[i]->triangles.insert( TrianglePair( partnerTriangle->Nr, partnerTriangle) );
     4407            for (int k=0;k<3;k++)
    46924408              if (triangle->lines[i] == Othertriangle->lines[k]) {
    46934409                Othertriangle->lines[k] = partnerTriangle->lines[j];
     
    46954411              }
    46964412            // the line of partnerTriangle receives the non-degenerated ones
    4697             partnerTriangle->lines[j]->triangles.erase(partnerTriangle->Nr);
    4698             partnerTriangle->lines[j]->triangles.insert(TrianglePair(Othertriangle->Nr, Othertriangle));
     4413            partnerTriangle->lines[j]->triangles.erase( partnerTriangle->Nr);
     4414            partnerTriangle->lines[j]->triangles.insert( TrianglePair( Othertriangle->Nr, Othertriangle) );
    46994415            partnerTriangle->lines[j] = triangle->lines[i];
    47004416          }
     
    47024418      // erase the pair
    47034419      count += (int) DegeneratedTriangles->erase(triangle->Nr);
    4704       DoLog(0) && (Log() << Verbose(0) << "RemoveDegeneratedTriangles() removes triangle " << *triangle << "." << endl);
     4420      Log() << Verbose(0) << "RemoveDegeneratedTriangles() removes triangle " << *triangle << "." << endl;
    47054421      RemoveTesselationTriangle(triangle);
    47064422      count += (int) DegeneratedTriangles->erase(partnerTriangle->Nr);
    4707       DoLog(0) && (Log() << Verbose(0) << "RemoveDegeneratedTriangles() removes triangle " << *partnerTriangle << "." << endl);
     4423      Log() << Verbose(0) << "RemoveDegeneratedTriangles() removes triangle " << *partnerTriangle << "." << endl;
    47084424      RemoveTesselationTriangle(partnerTriangle);
    47094425    } else {
    4710       DoLog(0) && (Log() << Verbose(0) << "RemoveDegeneratedTriangles() does not remove triangle " << *triangle << " and its partner " << *partnerTriangle << " because it is essential for at" << " least one of the endpoints to be kept in the tesselation structure." << endl);
    4711     }
    4712   }
    4713   delete (DegeneratedTriangles);
     4426      Log() << Verbose(0) << "RemoveDegeneratedTriangles() does not remove triangle " << *triangle
     4427        << " and its partner " << *partnerTriangle << " because it is essential for at"
     4428        << " least one of the endpoints to be kept in the tesselation structure." << endl;
     4429    }
     4430  }
     4431  delete(DegeneratedTriangles);
    47144432  if (count > 0)
    47154433    LastTriangle = NULL;
    47164434
    4717   DoLog(0) && (Log() << Verbose(0) << "RemoveDegeneratedTriangles() removed " << count << " triangles:" << endl);
     4435  Log() << Verbose(0) << "RemoveDegeneratedTriangles() removed " << count << " triangles:" << endl;
    47184436}
    47194437
     
    47284446void Tesselation::AddBoundaryPointByDegeneratedTriangle(class TesselPoint *point, LinkedCell *LC)
    47294447{
    4730   Info FunctionInfo(__func__);
     4448        Info FunctionInfo(__func__);
    47314449  // find nearest boundary point
    47324450  class TesselPoint *BackupPoint = NULL;
     
    47414459    NearestBoundaryPoint = PointRunner->second;
    47424460  } else {
    4743     DoeLog(1) && (eLog() << Verbose(1) << "I cannot find the boundary point." << endl);
     4461    eLog() << Verbose(1) << "I cannot find the boundary point." << endl;
    47444462    return;
    47454463  }
    4746   DoLog(0) && (Log() << Verbose(0) << "Nearest point on boundary is " << NearestPoint->Name << "." << endl);
     4464  Log() << Verbose(0) << "Nearest point on boundary is " << NearestPoint->Name << "." << endl;
    47474465
    47484466  // go through its lines and find the best one to split
     
    47594477    CenterToPoint.SubtractVector(point->node);
    47604478    angle = CenterToPoint.Angle(&BaseLine);
    4761     if (fabs(angle - M_PI / 2.) < fabs(BestAngle - M_PI / 2.)) {
     4479    if (fabs(angle - M_PI/2.) < fabs(BestAngle - M_PI/2.)) {
    47624480      BestAngle = angle;
    47634481      BestLine = Runner->second;
     
    47694487  BestLine->triangles.erase(TempTriangle->Nr);
    47704488  int nr = -1;
    4771   for (int i = 0; i < 3; i++) {
     4489  for (int i=0;i<3; i++) {
    47724490    if (TempTriangle->lines[i] == BestLine) {
    47734491      nr = i;
     
    47774495
    47784496  // create new triangle to connect point (connects automatically with the missing spot of the chosen line)
    4779   DoLog(2) && (Log() << Verbose(2) << "Adding new triangle points." << endl);
     4497  Log() << Verbose(2) << "Adding new triangle points."<< endl;
    47804498  AddTesselationPoint((BestLine->endpoints[0]->node), 0);
    47814499  AddTesselationPoint((BestLine->endpoints[1]->node), 1);
    47824500  AddTesselationPoint(point, 2);
    4783   DoLog(2) && (Log() << Verbose(2) << "Adding new triangle lines." << endl);
    4784   AddTesselationLine(NULL, NULL, TPS[0], TPS[1], 0);
    4785   AddTesselationLine(NULL, NULL, TPS[0], TPS[2], 1);
    4786   AddTesselationLine(NULL, NULL, TPS[1], TPS[2], 2);
     4501  Log() << Verbose(2) << "Adding new triangle lines."<< endl;
     4502  AddTesselationLine(TPS[0], TPS[1], 0);
     4503  AddTesselationLine(TPS[0], TPS[2], 1);
     4504  AddTesselationLine(TPS[1], TPS[2], 2);
    47874505  BTS = new class BoundaryTriangleSet(BLS, TrianglesOnBoundaryCount);
    47884506  BTS->GetNormalVector(TempTriangle->NormalVector);
    47894507  BTS->NormalVector.Scale(-1.);
    4790   DoLog(1) && (Log() << Verbose(1) << "INFO: NormalVector of new triangle is " << BTS->NormalVector << "." << endl);
     4508  Log() << Verbose(1) << "INFO: NormalVector of new triangle is " << BTS->NormalVector << "." << endl;
    47914509  AddTesselationTriangle();
    47924510
    47934511  // create other side of this triangle and close both new sides of the first created triangle
    4794   DoLog(2) && (Log() << Verbose(2) << "Adding new triangle points." << endl);
     4512  Log() << Verbose(2) << "Adding new triangle points."<< endl;
    47954513  AddTesselationPoint((BestLine->endpoints[0]->node), 0);
    47964514  AddTesselationPoint((BestLine->endpoints[1]->node), 1);
    47974515  AddTesselationPoint(point, 2);
    4798   DoLog(2) && (Log() << Verbose(2) << "Adding new triangle lines." << endl);
    4799   AddTesselationLine(NULL, NULL, TPS[0], TPS[1], 0);
    4800   AddTesselationLine(NULL, NULL, TPS[0], TPS[2], 1);
    4801   AddTesselationLine(NULL, NULL, TPS[1], TPS[2], 2);
     4516  Log() << Verbose(2) << "Adding new triangle lines."<< endl;
     4517  AddTesselationLine(TPS[0], TPS[1], 0);
     4518  AddTesselationLine(TPS[0], TPS[2], 1);
     4519  AddTesselationLine(TPS[1], TPS[2], 2);
    48024520  BTS = new class BoundaryTriangleSet(BLS, TrianglesOnBoundaryCount);
    48034521  BTS->GetNormalVector(TempTriangle->NormalVector);
    4804   DoLog(1) && (Log() << Verbose(1) << "INFO: NormalVector of other new triangle is " << BTS->NormalVector << "." << endl);
     4522  Log() << Verbose(1) << "INFO: NormalVector of other new triangle is " << BTS->NormalVector << "." << endl;
    48054523  AddTesselationTriangle();
    48064524
    48074525  // add removed triangle to the last open line of the second triangle
    4808   for (int i = 0; i < 3; i++) { // look for the same line as BestLine (only it's its degenerated companion)
     4526  for (int i=0;i<3;i++) { // look for the same line as BestLine (only it's its degenerated companion)
    48094527    if ((BTS->lines[i]->ContainsBoundaryPoint(BestLine->endpoints[0])) && (BTS->lines[i]->ContainsBoundaryPoint(BestLine->endpoints[1]))) {
    4810       if (BestLine == BTS->lines[i]) {
    4811         DoeLog(0) && (eLog() << Verbose(0) << "BestLine is same as found line, something's wrong here!" << endl);
     4528      if (BestLine == BTS->lines[i]){
     4529        eLog() << Verbose(0) << "BestLine is same as found line, something's wrong here!" << endl;
    48124530        performCriticalExit();
    48134531      }
    4814       BTS->lines[i]->triangles.insert(pair<int, class BoundaryTriangleSet *> (TempTriangle->Nr, TempTriangle));
     4532      BTS->lines[i]->triangles.insert( pair<int, class BoundaryTriangleSet *> (TempTriangle->Nr, TempTriangle) );
    48154533      TempTriangle->lines[nr] = BTS->lines[i];
    48164534      break;
    48174535    }
    48184536  }
    4819 }
    4820 ;
     4537};
    48214538
    48224539/** Writes the envelope to file.
     
    48274544void Tesselation::Output(const char *filename, const PointCloud * const cloud)
    48284545{
    4829   Info FunctionInfo(__func__);
     4546        Info FunctionInfo(__func__);
    48304547  ofstream *tempstream = NULL;
    48314548  string NameofTempFile;
     
    48334550
    48344551  if (LastTriangle != NULL) {
    4835     sprintf(NumberName, "-%04d-%s_%s_%s", (int) TrianglesOnBoundary.size(), LastTriangle->endpoints[0]->node->Name, LastTriangle->endpoints[1]->node->Name, LastTriangle->endpoints[2]->node->Name);
     4552    sprintf(NumberName, "-%04d-%s_%s_%s", (int)TrianglesOnBoundary.size(), LastTriangle->endpoints[0]->node->Name, LastTriangle->endpoints[1]->node->Name, LastTriangle->endpoints[2]->node->Name);
    48364553    if (DoTecplotOutput) {
    48374554      string NameofTempFile(filename);
    48384555      NameofTempFile.append(NumberName);
    4839       for (size_t npos = NameofTempFile.find_first_of(' '); npos != string::npos; npos = NameofTempFile.find(' ', npos))
    4840         NameofTempFile.erase(npos, 1);
     4556      for(size_t npos = NameofTempFile.find_first_of(' '); npos != string::npos; npos = NameofTempFile.find(' ', npos))
     4557      NameofTempFile.erase(npos, 1);
    48414558      NameofTempFile.append(TecplotSuffix);
    4842       DoLog(0) && (Log() << Verbose(0) << "Writing temporary non convex hull to file " << NameofTempFile << ".\n");
     4559      Log() << Verbose(0) << "Writing temporary non convex hull to file " << NameofTempFile << ".\n";
    48434560      tempstream = new ofstream(NameofTempFile.c_str(), ios::trunc);
    48444561      WriteTecplotFile(tempstream, this, cloud, TriangleFilesWritten);
    48454562      tempstream->close();
    48464563      tempstream->flush();
    4847       delete (tempstream);
     4564      delete(tempstream);
    48484565    }
    48494566
     
    48514568      string NameofTempFile(filename);
    48524569      NameofTempFile.append(NumberName);
    4853       for (size_t npos = NameofTempFile.find_first_of(' '); npos != string::npos; npos = NameofTempFile.find(' ', npos))
    4854         NameofTempFile.erase(npos, 1);
     4570      for(size_t npos = NameofTempFile.find_first_of(' '); npos != string::npos; npos = NameofTempFile.find(' ', npos))
     4571      NameofTempFile.erase(npos, 1);
    48554572      NameofTempFile.append(Raster3DSuffix);
    4856       DoLog(0) && (Log() << Verbose(0) << "Writing temporary non convex hull to file " << NameofTempFile << ".\n");
     4573      Log() << Verbose(0) << "Writing temporary non convex hull to file " << NameofTempFile << ".\n";
    48574574      tempstream = new ofstream(NameofTempFile.c_str(), ios::trunc);
    48584575      WriteRaster3dFile(tempstream, this, cloud);
     
    48604577      tempstream->close();
    48614578      tempstream->flush();
    4862       delete (tempstream);
     4579      delete(tempstream);
    48634580    }
    48644581  }
    48654582  if (DoTecplotOutput || DoRaster3DOutput)
    48664583    TriangleFilesWritten++;
    4867 }
    4868 ;
    4869 
    4870 struct BoundaryPolygonSetCompare
    4871 {
    4872   bool operator()(const BoundaryPolygonSet * s1, const BoundaryPolygonSet * s2) const
    4873   {
     4584};
     4585
     4586struct BoundaryPolygonSetCompare {
     4587  bool operator()(const BoundaryPolygonSet * s1, const BoundaryPolygonSet * s2) const {
    48744588    if (s1->endpoints.size() < s2->endpoints.size())
    48754589      return true;
     
    49004614{
    49014615  Info FunctionInfo(__func__);
     4616
    49024617  /// 2. Go through all BoundaryPointSet's, check their triangles' NormalVector
    49034618  IndexToIndex *DegeneratedTriangles = FindAllDegeneratedTriangles();
    4904   set<BoundaryPointSet *> EndpointCandidateList;
    4905   pair<set<BoundaryPointSet *>::iterator, bool> InsertionTester;
    4906   pair<map<int, Vector *>::iterator, bool> TriangleInsertionTester;
     4619  set < BoundaryPointSet *> EndpointCandidateList;
     4620  pair < set < BoundaryPointSet *>::iterator, bool > InsertionTester;
     4621  pair < map < int, Vector *>::iterator, bool > TriangleInsertionTester;
    49074622  for (PointMap::const_iterator Runner = PointsOnBoundary.begin(); Runner != PointsOnBoundary.end(); Runner++) {
    4908     DoLog(0) && (Log() << Verbose(0) << "Current point is " << *Runner->second << "." << endl);
    4909     map<int, Vector *> TriangleVectors;
     4623    Log() << Verbose(0) << "Current point is " << *Runner->second << "." << endl;
     4624    map < int, Vector *> TriangleVectors;
    49104625    // gather all NormalVectors
    4911     DoLog(1) && (Log() << Verbose(1) << "Gathering triangles ..." << endl);
     4626    Log() << Verbose(1) << "Gathering triangles ..." << endl;
    49124627    for (LineMap::const_iterator LineRunner = (Runner->second)->lines.begin(); LineRunner != (Runner->second)->lines.end(); LineRunner++)
    49134628      for (TriangleMap::const_iterator TriangleRunner = (LineRunner->second)->triangles.begin(); TriangleRunner != (LineRunner->second)->triangles.end(); TriangleRunner++) {
    49144629        if (DegeneratedTriangles->find(TriangleRunner->second->Nr) == DegeneratedTriangles->end()) {
    4915           TriangleInsertionTester = TriangleVectors.insert(pair<int, Vector *> ((TriangleRunner->second)->Nr, &((TriangleRunner->second)->NormalVector)));
     4630          TriangleInsertionTester = TriangleVectors.insert( pair< int, Vector *> ((TriangleRunner->second)->Nr, &((TriangleRunner->second)->NormalVector)) );
    49164631          if (TriangleInsertionTester.second)
    4917             DoLog(1) && (Log() << Verbose(1) << " Adding triangle " << *(TriangleRunner->second) << " to triangles to check-list." << endl);
     4632            Log() << Verbose(1) << " Adding triangle " << *(TriangleRunner->second) << " to triangles to check-list." << endl;
    49184633        } else {
    4919           DoLog(1) && (Log() << Verbose(1) << " NOT adding triangle " << *(TriangleRunner->second) << " as it's a simply degenerated one." << endl);
     4634          Log() << Verbose(1) << " NOT adding triangle " << *(TriangleRunner->second) << " as it's a simply degenerated one." << endl;
    49204635        }
    49214636      }
    49224637    // check whether there are two that are parallel
    4923     DoLog(1) && (Log() << Verbose(1) << "Finding two parallel triangles ..." << endl);
    4924     for (map<int, Vector *>::iterator VectorWalker = TriangleVectors.begin(); VectorWalker != TriangleVectors.end(); VectorWalker++)
    4925       for (map<int, Vector *>::iterator VectorRunner = VectorWalker; VectorRunner != TriangleVectors.end(); VectorRunner++)
     4638    Log() << Verbose(1) << "Finding two parallel triangles ..." << endl;
     4639    for (map < int, Vector *>::iterator VectorWalker = TriangleVectors.begin(); VectorWalker != TriangleVectors.end(); VectorWalker++)
     4640      for (map < int, Vector *>::iterator VectorRunner = VectorWalker; VectorRunner != TriangleVectors.end(); VectorRunner++)
    49264641        if (VectorWalker != VectorRunner) { // skip equals
    4927           const double SCP = VectorWalker->second->ScalarProduct(VectorRunner->second); // ScalarProduct should result in -1. for degenerated triangles
    4928           DoLog(1) && (Log() << Verbose(1) << "Checking " << *VectorWalker->second << " against " << *VectorRunner->second << ": " << SCP << endl);
     4642          const double SCP = VectorWalker->second->ScalarProduct(VectorRunner->second);  // ScalarProduct should result in -1. for degenerated triangles
     4643          Log() << Verbose(1) << "Checking " << *VectorWalker->second<< " against " << *VectorRunner->second << ": " << SCP << endl;
    49294644          if (fabs(SCP + 1.) < ParallelEpsilon) {
    49304645            InsertionTester = EndpointCandidateList.insert((Runner->second));
    49314646            if (InsertionTester.second)
    4932               DoLog(0) && (Log() << Verbose(0) << " Adding " << *Runner->second << " to endpoint candidate list." << endl);
     4647              Log() << Verbose(0) << " Adding " << *Runner->second << " to endpoint candidate list." << endl;
    49334648            // and break out of both loops
    49344649            VectorWalker = TriangleVectors.end();
     
    49384653        }
    49394654  }
    4940   delete (DegeneratedTriangles);
     4655
    49414656  /// 3. Find connected endpoint candidates and put them into a polygon
    49424657  UniquePolygonSet ListofDegeneratedPolygons;
     
    49444659  BoundaryPointSet *OtherWalker = NULL;
    49454660  BoundaryPolygonSet *Current = NULL;
    4946   stack<BoundaryPointSet*> ToCheckConnecteds;
     4661  stack <BoundaryPointSet*> ToCheckConnecteds;
    49474662  while (!EndpointCandidateList.empty()) {
    49484663    Walker = *(EndpointCandidateList.begin());
    4949     if (Current == NULL) { // create a new polygon with current candidate
    4950       DoLog(0) && (Log() << Verbose(0) << "Starting new polygon set at point " << *Walker << endl);
     4664    if (Current == NULL) {  // create a new polygon with current candidate
     4665      Log() << Verbose(0) << "Starting new polygon set at point " << *Walker << endl;
    49514666      Current = new BoundaryPolygonSet;
    49524667      Current->endpoints.insert(Walker);
     
    49614676      for (LineMap::const_iterator LineWalker = Walker->lines.begin(); LineWalker != Walker->lines.end(); LineWalker++) {
    49624677        OtherWalker = (LineWalker->second)->GetOtherEndpoint(Walker);
    4963         DoLog(1) && (Log() << Verbose(1) << "Checking " << *OtherWalker << endl);
    4964         set<BoundaryPointSet *>::iterator Finder = EndpointCandidateList.find(OtherWalker);
    4965         if (Finder != EndpointCandidateList.end()) { // found a connected partner
    4966           DoLog(1) && (Log() << Verbose(1) << " Adding to polygon." << endl);
     4678        Log() << Verbose(1) << "Checking " << *OtherWalker << endl;
     4679        set < BoundaryPointSet *>::iterator Finder = EndpointCandidateList.find(OtherWalker);
     4680        if (Finder != EndpointCandidateList.end()) {  // found a connected partner
     4681          Log() << Verbose(1) << " Adding to polygon." << endl;
    49674682          Current->endpoints.insert(OtherWalker);
    4968           EndpointCandidateList.erase(Finder); // remove from candidates
    4969           ToCheckConnecteds.push(OtherWalker); // but check its partners too
     4683          EndpointCandidateList.erase(Finder);  // remove from candidates
     4684          ToCheckConnecteds.push(OtherWalker);  // but check its partners too
    49704685        } else {
    4971           DoLog(1) && (Log() << Verbose(1) << " is not connected to " << *Walker << endl);
     4686          Log() << Verbose(1) << " is not connected to " << *Walker << endl;
    49724687        }
    49734688      }
    49744689    }
    49754690
    4976     DoLog(0) && (Log() << Verbose(0) << "Final polygon is " << *Current << endl);
     4691    Log() << Verbose(0) << "Final polygon is " << *Current << endl;
    49774692    ListofDegeneratedPolygons.insert(Current);
    49784693    Current = NULL;
     
    49814696  const int counter = ListofDegeneratedPolygons.size();
    49824697
    4983   DoLog(0) && (Log() << Verbose(0) << "The following " << counter << " degenerated polygons have been found: " << endl);
     4698  Log() << Verbose(0) << "The following " << counter << " degenerated polygons have been found: " << endl;
    49844699  for (UniquePolygonSet::iterator PolygonRunner = ListofDegeneratedPolygons.begin(); PolygonRunner != ListofDegeneratedPolygons.end(); PolygonRunner++)
    4985     DoLog(0) && (Log() << Verbose(0) << " " << **PolygonRunner << endl);
     4700    Log() << Verbose(0) << " " << **PolygonRunner << endl;
    49864701
    49874702  /// 4. Go through all these degenerated polygons
    49884703  for (UniquePolygonSet::iterator PolygonRunner = ListofDegeneratedPolygons.begin(); PolygonRunner != ListofDegeneratedPolygons.end(); PolygonRunner++) {
    4989     stack<int> TriangleNrs;
     4704    stack <int> TriangleNrs;
    49904705    Vector NormalVector;
    49914706    /// 4a. Gather all triangles of this polygon
     
    49944709    // check whether number is bigger than 2, otherwise it's just a simply degenerated one and nothing to do.
    49954710    if (T->size() == 2) {
    4996       DoLog(1) && (Log() << Verbose(1) << " Skipping degenerated polygon, is just a (already simply degenerated) triangle." << endl);
    4997       delete (T);
     4711      Log() << Verbose(1) << " Skipping degenerated polygon, is just a (already simply degenerated) triangle." << endl;
     4712      delete(T);
    49984713      continue;
    49994714    }
     
    50044719    // connections to either polygon ...
    50054720    if (T->size() % 2 != 0) {
    5006       DoeLog(0) && (eLog() << Verbose(0) << " degenerated polygon contains an odd number of triangles, probably contains bridging non-degenerated ones, too!" << endl);
     4721      eLog() << Verbose(0) << " degenerated polygon contains an odd number of triangles, probably contains bridging non-degenerated ones, too!" << endl;
    50074722      performCriticalExit();
    50084723    }
    5009     TriangleSet::iterator TriangleWalker = T->begin(); // is the inner iterator
     4724
     4725    TriangleSet::iterator TriangleWalker = T->begin();  // is the inner iterator
    50104726    /// 4a. Get NormalVector for one side (this is "front")
    50114727    NormalVector.CopyVector(&(*TriangleWalker)->NormalVector);
    5012     DoLog(1) && (Log() << Verbose(1) << "\"front\" defining triangle is " << **TriangleWalker << " and Normal vector of \"front\" side is " << NormalVector << endl);
     4728    Log() << Verbose(1) << "\"front\" defining triangle is " << **TriangleWalker << " and Normal vector of \"front\" side is " << NormalVector << endl;
    50134729    TriangleWalker++;
    50144730    TriangleSet::iterator TriangleSprinter = TriangleWalker; // is the inner advanced iterator
     
    50194735      triangle = *TriangleWalker;
    50204736      TriangleSprinter++;
    5021       DoLog(1) && (Log() << Verbose(1) << "Current triangle to test for removal: " << *triangle << endl);
     4737      Log() << Verbose(1) << "Current triangle to test for removal: " << *triangle << endl;
    50224738      if (triangle->NormalVector.ScalarProduct(&NormalVector) < 0) { // if from other side, then delete and remove from list
    5023         DoLog(1) && (Log() << Verbose(1) << " Removing ... " << endl);
     4739        Log() << Verbose(1) << " Removing ... " << endl;
    50244740        TriangleNrs.push(triangle->Nr);
    50254741        T->erase(TriangleWalker);
    50264742        RemoveTesselationTriangle(triangle);
    50274743      } else
    5028         DoLog(1) && (Log() << Verbose(1) << " Keeping ... " << endl);
     4744        Log() << Verbose(1) << " Keeping ... " << endl;
    50294745    }
    50304746    /// 4c. Copy all "front" triangles but with inverse NormalVector
    50314747    TriangleWalker = T->begin();
    5032     while (TriangleWalker != T->end()) { // go through all front triangles
    5033       DoLog(1) && (Log() << Verbose(1) << " Re-creating triangle " << **TriangleWalker << " with NormalVector " << (*TriangleWalker)->NormalVector << endl);
     4748    while (TriangleWalker != T->end()) {  // go through all front triangles
     4749      Log() << Verbose(1) << " Re-creating triangle " << **TriangleWalker << " with NormalVector " << (*TriangleWalker)->NormalVector << endl;
    50344750      for (int i = 0; i < 3; i++)
    50354751        AddTesselationPoint((*TriangleWalker)->endpoints[i]->node, i);
    5036       AddTesselationLine(NULL, NULL, TPS[0], TPS[1], 0);
    5037       AddTesselationLine(NULL, NULL, TPS[0], TPS[2], 1);
    5038       AddTesselationLine(NULL, NULL, TPS[1], TPS[2], 2);
     4752      AddTesselationLine(TPS[0], TPS[1], 0);
     4753      AddTesselationLine(TPS[0], TPS[2], 1);
     4754      AddTesselationLine(TPS[1], TPS[2], 2);
    50394755      if (TriangleNrs.empty())
    5040         DoeLog(0) && (eLog() << Verbose(0) << "No more free triangle numbers!" << endl);
     4756        eLog() << Verbose(0) << "No more free triangle numbers!" << endl;
    50414757      BTS = new BoundaryTriangleSet(BLS, TriangleNrs.top()); // copy triangle ...
    50424758      AddTesselationTriangle(); // ... and add
     
    50474763    }
    50484764    if (!TriangleNrs.empty()) {
    5049       DoeLog(0) && (eLog() << Verbose(0) << "There have been less triangles created than removed!" << endl);
    5050     }
    5051     delete (T); // remove the triangleset
    5052   }
     4765      eLog() << Verbose(0) << "There have been less triangles created than removed!" << endl;
     4766    }
     4767    delete(T);  // remove the triangleset
     4768  }
     4769
    50534770  IndexToIndex * SimplyDegeneratedTriangles = FindAllDegeneratedTriangles();
    5054   DoLog(0) && (Log() << Verbose(0) << "Final list of simply degenerated triangles found, containing " << SimplyDegeneratedTriangles->size() << " triangles:" << endl);
     4771  Log() << Verbose(0) << "Final list of simply degenerated triangles found, containing " << SimplyDegeneratedTriangles->size() << " triangles:" << endl;
    50554772  IndexToIndex::iterator it;
    50564773  for (it = SimplyDegeneratedTriangles->begin(); it != SimplyDegeneratedTriangles->end(); it++)
    5057     DoLog(0) && (Log() << Verbose(0) << (*it).first << " => " << (*it).second << endl);
    5058   delete (SimplyDegeneratedTriangles);
     4774      Log() << Verbose(0) << (*it).first << " => " << (*it).second << endl;
     4775  delete(SimplyDegeneratedTriangles);
     4776
    50594777  /// 5. exit
    50604778  UniquePolygonSet::iterator PolygonRunner;
    50614779  while (!ListofDegeneratedPolygons.empty()) {
    50624780    PolygonRunner = ListofDegeneratedPolygons.begin();
    5063     delete (*PolygonRunner);
     4781    delete(*PolygonRunner);
    50644782    ListofDegeneratedPolygons.erase(PolygonRunner);
    50654783  }
    50664784
    50674785  return counter;
    5068 }
    5069 ;
     4786};
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