sampleCompBot.cc

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/*
** License Applicability. Except to the extent portions of this file are
** made subject to an alternative license as permitted in the SGI Free
** Software License B, Version 1.1 (the "License"), the contents of this
** file are subject only to the provisions of the License. You may not use
** this file except in compliance with the License. You may obtain a copy
** of the License at Silicon Graphics, Inc., attn: Legal Services, 1600
** Amphitheatre Parkway, Mountain View, CA 94043-1351, or at:
** 
** http://oss.sgi.com/projects/FreeB
** 
** Note that, as provided in the License, the Software is distributed on an
** "AS IS" basis, with ALL EXPRESS AND IMPLIED WARRANTIES AND CONDITIONS
** DISCLAIMED, INCLUDING, WITHOUT LIMITATION, ANY IMPLIED WARRANTIES AND
** CONDITIONS OF MERCHANTABILITY, SATISFACTORY QUALITY, FITNESS FOR A
** PARTICULAR PURPOSE, AND NON-INFRINGEMENT.
** 
** Original Code. The Original Code is: OpenGL Sample Implementation,
** Version 1.2.1, released January 26, 2000, developed by Silicon Graphics,
** Inc. The Original Code is Copyright (c) 1991-2000 Silicon Graphics, Inc.
** Copyright in any portions created by third parties is as indicated
** elsewhere herein. All Rights Reserved.
** 
** Additional Notice Provisions: The application programming interfaces
** established by SGI in conjunction with the Original Code are The
** OpenGL(R) Graphics System: A Specification (Version 1.2.1), released
** April 1, 1999; The OpenGL(R) Graphics System Utility Library (Version
** 1.3), released November 4, 1998; and OpenGL(R) Graphics with the X
** Window System(R) (Version 1.3), released October 19, 1998. This software
** was created using the OpenGL(R) version 1.2.1 Sample Implementation
** published by SGI, but has not been independently verified as being
** compliant with the OpenGL(R) version 1.2.1 Specification.
**
*/
/*
*/
 
//#include <stdlib.h>
//#include <stdio.h>
//#include "zlassert.h"
#include "sampleCompBot.h"
#include "sampleCompRight.h"
 
#define max(a,b) ((a>b)? a:b)
 
//return: index_mono, index_pass
//from [pass, mono] is strictly U-monotone
//from [corner, pass] is <u
// vertex[pass][0] >= u
//if everybost is <u, then pass = end+1.
//otherwise both mono and pass are meanng full and we have corner<=pass<=mono<=end
void findBotLeftSegment(vertexArray* leftChain, 
            Int leftEnd,
            Int leftCorner,
            Real u,
            Int& ret_index_mono,
            Int& ret_index_pass)
{
  Int i;
 
  assert(leftCorner <= leftEnd);
  for(i=leftCorner; i<= leftEnd; i++)
    if(leftChain->getVertex(i)[0] >= u)
      break;
  ret_index_pass = i;
  if(ret_index_pass <= leftEnd)
    {
      for(i=ret_index_pass; i< leftEnd; i++)
    {
      if(leftChain->getVertex(i+1)[0] <= leftChain->getVertex(i)[0])
        break;
    }
      ret_index_mono = i;
    }
 
}
 
void findBotRightSegment(vertexArray* rightChain, 
             Int rightEnd,
             Int rightCorner,
             Real u,
             Int& ret_index_mono,
             Int& ret_index_pass)
{
  Int i;
  assert(rightCorner <= rightEnd);
  for(i=rightCorner; i<= rightEnd; i++)
    if(rightChain->getVertex(i)[0] <= u)
      break;
 
 
 
  ret_index_pass = i;
 
  if(ret_index_pass <= rightEnd)
    {
      for(i=ret_index_pass; i< rightEnd; i++)
    {
      if(rightChain->getVertex(i+1)[0] >= rightChain->getVertex(i)[0])
        break;
    }
      ret_index_mono = i;
    }
}
 
 
void sampleBotRightWithGridLinePost(Real* botVertex,
                    vertexArray* rightChain,
                    Int rightEnd,
                    Int segIndexMono,
                    Int segIndexPass,
                    Int rightCorner,
                    gridWrap* grid,
                    Int gridV,
                    Int leftU,
                    Int rightU,
                    primStream* pStream)
{
  //the possible section which is to the right of rightU
  if(segIndexPass > rightCorner) //from corner to pass-1 is > u.
    {
      Real *tempBot;
      if(segIndexPass <= rightEnd) //there is a point to the left of u
    tempBot = rightChain->getVertex(segIndexPass);
      else   //nothing is to the left of u.
    tempBot = botVertex; 
      Real tempTop[2];
      tempTop[0] = grid->get_u_value(rightU);
      tempTop[1] = grid->get_v_value(gridV);
      
      monoTriangulation2(tempTop, tempBot,
             rightChain,
             rightCorner,
             segIndexPass-1,
             0, // a decrease chain
             pStream);
    }
 
  //the possible section which is strictly Umonotone
  if(segIndexPass <= rightEnd) //segIndex pass and mono exist
    {
      //if there are grid points which are to the left of botVertex
      //then we should use botVertex to form a fan with these points to
      //optimize the triangulation
      int do_optimize = 1;
      if(botVertex[0] <= grid->get_u_value(leftU))
    do_optimize = 0;
      else
    {
      //we also have to make sure that botVertex is the left most vertex on the chain
      int i;
      for(i=segIndexMono; i<=rightEnd; i++)
        if(rightChain->getVertex(i)[0] <= botVertex[0])
          {
        do_optimize = 0;
        break;
          }
    }
 
      if(do_optimize)
    {
      //find midU so that grid->get_u_value(midU) <= botVertex[0]
      //and               grid->get_u_value(midU) >  botVertex[0]
      int midU = leftU;
      while(grid->get_u_value(midU) <= botVertex[0])
        {
          midU++;
          if(midU > rightU)
        break;
        }
      midU--;
 
      grid->outputFanWithPoint(gridV, leftU, midU, botVertex, pStream);
      stripOfFanRight(rightChain, segIndexMono, segIndexPass, grid, gridV, midU, rightU, pStream, 1);     
      Real tempTop[2];
      tempTop[0] = grid->get_u_value(midU);
      tempTop[1] = grid->get_v_value(gridV);
      monoTriangulation2(tempTop, botVertex, rightChain, segIndexMono, rightEnd, 0, pStream);
    }
      else //not optimize
    {
      stripOfFanRight(rightChain, segIndexMono, segIndexPass, grid, gridV, leftU, rightU, pStream, 1);
      Real tempTop[2];
      tempTop[0] = grid->get_u_value(leftU);
      tempTop[1] = grid->get_v_value(gridV);
      monoTriangulation2(tempTop, botVertex, rightChain, segIndexMono, rightEnd, 0, pStream);
    }
    }
  else //the botVertex forms a fan witht eh grid points
    grid->outputFanWithPoint(gridV, leftU, rightU, botVertex, pStream);
}
      
void sampleBotRightWithGridLine(Real* botVertex, 
                vertexArray* rightChain,
                Int rightEnd,
                Int rightCorner,
                gridWrap* grid,
                Int gridV,
                Int leftU,
                Int rightU,
                primStream* pStream)
{
  //if right chaain is empty, then there is only one bot vertex with
  //one grid line
  if(rightEnd<rightCorner){
    grid->outputFanWithPoint(gridV, leftU, rightU, botVertex, pStream);
    return;
  }
 
  Int segIndexMono = 0, segIndexPass;
  findBotRightSegment(rightChain,
              rightEnd,
              rightCorner,
              grid->get_u_value(rightU),
              segIndexMono,
              segIndexPass);
 
  sampleBotRightWithGridLinePost(botVertex, 
                 rightChain,
                 rightEnd,
                 segIndexMono,
                 segIndexPass,
                 rightCorner,
                 grid,
                 gridV,
                 leftU,
                 rightU,
                 pStream);
}
  
 
void sampleBotLeftWithGridLinePost(Real* botVertex,
                   vertexArray* leftChain,
                   Int leftEnd,
                   Int segIndexMono,
                   Int segIndexPass,
                   Int leftCorner,
                   gridWrap* grid,
                   Int gridV,
                   Int leftU, 
                   Int rightU,
                   primStream* pStream)
{
 
  //the possible section which is to the left of leftU
  if(segIndexPass > leftCorner) //at least leftCorner is to the left of leftU
    {
      Real *tempBot; 
      if(segIndexPass <= leftEnd) //from corner to pass-1 is <u
    tempBot = leftChain->getVertex(segIndexPass);
      else //nothing is to the rigth of u
    tempBot = botVertex;
      Real tempTop[2];
      tempTop[0] = grid->get_u_value(leftU);
      tempTop[1] = grid->get_v_value(gridV);
      monoTriangulation2(tempTop, tempBot, leftChain, leftCorner, segIndexPass-1,
             1, //a increase chain,
             pStream);
    }
  //the possible section which is strictly Umonotone
  if(segIndexPass <= leftEnd) //segIndexpass and mono exist
    {
      stripOfFanLeft(leftChain, segIndexMono, segIndexPass, grid, gridV, leftU, rightU, pStream, 1);
      Real tempTop[2];
      tempTop[0] = grid->get_u_value(rightU);
      tempTop[1] = grid->get_v_value(gridV);
 
      monoTriangulation2(tempTop, botVertex, leftChain, segIndexMono, leftEnd, 
             1,  //increase chain
             pStream);
    }
  else //the botVertex forms a fan with the grid points
    {
      grid->outputFanWithPoint(gridV, leftU, rightU, botVertex, pStream);
    }
 
}
 
void sampleBotLeftWithGridLine(Real* botVertex,
                   vertexArray* leftChain,
                   Int leftEnd,
                   Int leftCorner,
                   gridWrap* grid,
                   Int gridV,
                   Int leftU,
                   Int rightU,
                   primStream* pStream)
{
 
  //if leftChain is empty, then there is only one botVertex with one grid line
  if(leftEnd< leftCorner){
    grid->outputFanWithPoint(gridV, leftU, rightU, botVertex, pStream);
    return;
  }
 
  Int segIndexPass, segIndexMono = 0;
  findBotLeftSegment(leftChain, leftEnd, leftCorner, grid->get_u_value(leftU), segIndexMono, segIndexPass);
 
  sampleBotLeftWithGridLinePost(botVertex,
                leftChain,
                leftEnd,
                segIndexMono,
                segIndexPass,
                leftCorner,
                grid,
                gridV,
                leftU, rightU, pStream);
}
 
//return 1 if separator exists, 0 otherwise
Int findBotSeparator(vertexArray* leftChain,
             Int leftEnd,
             Int leftCorner,
             vertexArray* rightChain,
             Int rightEnd,
             Int rightCorner,
             Int& ret_sep_left,
             Int& ret_sep_right)
{
  Int oldLeftI, oldRightI, newLeftI, newRightI;
  Int i,j,k;
  Real leftMax /*= leftChain->getVertex(leftCorner)[0]*/;
  Real rightMin /*= rightChain->getVertex(rightCorner)[0]*/;
  if(leftChain->getVertex(leftCorner)[1] < rightChain->getVertex(rightCorner)[1])//leftlower
    {
      oldLeftI = leftCorner-1;
      oldRightI = rightCorner;
      leftMax = leftChain->getVertex(leftCorner)[0] - Real(1.0) ; //initilize to be left of leftCorner
      rightMin = rightChain->getVertex(rightCorner)[0]; 
    }
  else //rightlower
    {
      oldLeftI = leftCorner;
      oldRightI = rightCorner-1;
      leftMax = leftChain->getVertex(leftCorner)[0];
      rightMin = rightChain->getVertex(rightCorner)[0] + Real(1.0);
    }
 
  //i: the current working leftChain Index
  //j: the curent working right chian index
  //if(left(i) is lower than right(j), then the two chains above right(j) are separated.
  //else the two chains below left(i) are separated.
  i = leftCorner;
  j = rightCorner;
  while(1)
    {
      newLeftI = oldLeftI;
      newRightI = oldRightI;
      if(i> leftEnd) //left chain is doen , go through remaining right chain
    {
      for(k=j+1; k<= rightEnd; k++)
        {
          if(rightChain->getVertex(k)[0] > leftMax) //no conflict
        {
          //update oldRightI if necessary
          if(rightChain->getVertex(k)[0] < rightMin)
            {
              rightMin = rightChain->getVertex(k)[0];
              oldRightI = k;
            }
        }
          else //there is a conflict
        break; //the for-loop, above right(k+1) is separated: oldLeftI, oldRightI
        }
      break; //the while loop
    }
      else if(j > rightEnd) //right Chain is doen
    {
      for(k=i+1; k<= leftEnd; k++)
        {
          if(leftChain->getVertex(k)[0] < rightMin) //no conflict
        {
          //update oldLeftI if necessary
          if(leftChain->getVertex(k)[0] > leftMax)
            {
              leftMax =  leftChain->getVertex(k)[0];
              oldLeftI = k;
            }
        }
          else //there is a conflict
        break; //the for-loop, above left(k+1) is separated: oldLeftI, oldRightI
        }
      break; //the while loop
    }
      else if(leftChain->getVertex(i)[1] < rightChain->getVertex(j)[1]) //left lower
    {
 
      if(leftChain->getVertex(i)[0] > leftMax) //update leftMax amd newLeftI
        {
          leftMax = leftChain->getVertex(i)[0];
          newLeftI = i;
        }
      for(k=j+1; k<= rightEnd; k++) //update rightMin and newRightI;
        {
          if(rightChain->getVertex(k)[1] < leftChain->getVertex(i)[1]) //right gets lower
        break;
          if(rightChain->getVertex(k)[0] < rightMin)
        {
          rightMin = rightChain->getVertex(k)[0];
          newRightI = k;
        }
        }
      j = k; //next working j, since j will he lower than i in next loop
      if(leftMax >= rightMin) //there is a conflict
        break;
      else //still no conflict
        {
          oldLeftI = newLeftI;
          oldRightI = newRightI;
 
        }
    }
      else //right lower
    {
      if(rightChain->getVertex(j)[0] < rightMin)
        {
          rightMin = rightChain->getVertex(j)[0];
          newRightI = j;
        }
      for(k=i+1; k<= leftEnd; k++)
        {
          if(leftChain->getVertex(k)[1] < rightChain->getVertex(j)[1])
        break;
          if(leftChain->getVertex(k)[0] > leftMax)
        {
          leftMax = leftChain->getVertex(k)[0];
          newLeftI = k;
        }
        }
      i=k; //nexct working i, since i will be lower than j next loop
      if(leftMax >= rightMin) //there is conflict
        break;
      else //still no conflict
        {
          oldLeftI = newLeftI;
          oldRightI = newRightI;
        }
    }
    }//end of while loop
  //now oldLeftI and oldRight I are the desired separator index notice that they are not 
  //necessarily valid 
  if(oldLeftI < leftCorner || oldRightI < rightCorner)
    return 0; //no separator
  else
    {
      ret_sep_left = oldLeftI;
      ret_sep_right = oldRightI;
      return 1;
    }
}
 
void sampleCompBot(Real* botVertex,
           vertexArray* leftChain,
           Int leftEnd,
           vertexArray* rightChain,
           Int rightEnd,
           gridBoundaryChain* leftGridChain,
           gridBoundaryChain* rightGridChain,
           Int gridIndex,
           Int down_leftCornerWhere,
           Int down_leftCornerIndex,
           Int down_rightCornerWhere,
           Int down_rightCornerIndex,
           primStream* pStream)
{
 
  if(down_leftCornerWhere == 1 && down_rightCornerWhere == 1) //the bot is botVertex with possible grid points
    {
 
      leftGridChain->getGrid()->outputFanWithPoint(leftGridChain->getVlineIndex(gridIndex),
                           leftGridChain->getUlineIndex(gridIndex),
                          rightGridChain->getUlineIndex(gridIndex),
                           botVertex,
                           pStream);
      return;
    }
  else if(down_leftCornerWhere != 0)
    {
 
      Real* tempBot;
      Int tempRightEnd;
      if(down_leftCornerWhere == 1){
    tempRightEnd = rightEnd;
    tempBot = botVertex;
      }
      else
    {
      tempRightEnd = down_leftCornerIndex-1;
      tempBot = rightChain->getVertex(down_leftCornerIndex);
    }
 
      sampleBotRightWithGridLine(tempBot,
                 rightChain, 
                 tempRightEnd,
                 down_rightCornerIndex,
                 rightGridChain->getGrid(),
                 leftGridChain->getVlineIndex(gridIndex),
                 leftGridChain->getUlineIndex(gridIndex),
                 rightGridChain->getUlineIndex(gridIndex),
                 pStream);
    }
  else if(down_rightCornerWhere != 2)
    {
 
      Real* tempBot;
      Int tempLeftEnd;
      if(down_rightCornerWhere == 1){
    tempLeftEnd = leftEnd;
    tempBot = botVertex;
      }
      else //right corner is on left chain
    {
      tempLeftEnd = down_rightCornerIndex-1;
      tempBot = leftChain->getVertex(down_rightCornerIndex);      
    }
 
 
      sampleBotLeftWithGridLine(tempBot, leftChain, tempLeftEnd, down_leftCornerIndex, 
                leftGridChain->getGrid(),
                leftGridChain->getVlineIndex(gridIndex),
                leftGridChain->getUlineIndex(gridIndex),
                rightGridChain->getUlineIndex(gridIndex),
                pStream);
 
    }
  else //down_leftCornereWhere == 0, down_rightCornerwhere == 2
    {
      sampleCompBotSimple(botVertex, 
              leftChain,
              leftEnd,
              rightChain,
              rightEnd,
              leftGridChain,
              rightGridChain,
              gridIndex,
              down_leftCornerWhere,
              down_leftCornerIndex,
              down_rightCornerWhere,
              down_rightCornerIndex,
              pStream);
      
      return;
 
#ifdef NOT_REACHABLE
      //the following code is trying to do some optimization, but not quite working. so it is not reachable, but leave it here for reference
      Int sep_left, sep_right;
      if(findBotSeparator(leftChain, leftEnd, down_leftCornerIndex,
              rightChain, rightEnd, down_rightCornerIndex,
              sep_left, sep_right)
     )//separator exiosts
    {
 
      if(leftChain->getVertex(sep_left)[0] >= leftGridChain->get_u_value(gridIndex) &&
         rightChain->getVertex(sep_right)[0] <= rightGridChain->get_u_value(gridIndex))
        {
          Int gridSep;
          Int segLeftMono, segLeftPass, segRightMono, segRightPass;
          findBotLeftSegment(leftChain,
                 sep_left,
                 down_leftCornerIndex,
                 leftGridChain->get_u_value(gridIndex),
                 segLeftMono,
                 segLeftPass);
          findBotRightSegment(rightChain,
                  sep_right,
                  down_rightCornerIndex,
                  rightGridChain->get_u_value(gridIndex),
                  segRightMono,
                  segRightPass);
          if(leftChain->getVertex(segLeftMono)[1] <= rightChain->getVertex(segRightMono)[1])
        {
          gridSep = rightGridChain->getUlineIndex(gridIndex);
          while(leftGridChain->getGrid()->get_u_value(gridSep) > leftChain->getVertex(segLeftMono)[0])
            gridSep--;
        }
          else 
        {
          gridSep = leftGridChain->getUlineIndex(gridIndex);
          while(leftGridChain->getGrid()->get_u_value(gridSep) < rightChain->getVertex(segRightMono)[0])
            gridSep++;
        }
 
          sampleBotLeftWithGridLinePost(leftChain->getVertex(segLeftMono),
                        leftChain,
                        segLeftMono-1,
                        segLeftMono-1,
                        segLeftPass,
                        down_leftCornerIndex,
                        leftGridChain->getGrid(),
                        leftGridChain->getVlineIndex(gridIndex),
                        leftGridChain->getUlineIndex(gridIndex),
                        gridSep,
                        pStream);
          sampleBotRightWithGridLinePost(rightChain->getVertex(segRightMono),
                         rightChain,
                         segRightMono-1,
                         segRightMono-1,
                         segRightPass,
                         down_rightCornerIndex,
                         rightGridChain->getGrid(),
                         rightGridChain->getVlineIndex(gridIndex),
                         gridSep,
                         rightGridChain->getUlineIndex(gridIndex),
                         pStream);
          Real tempTop[2];
          tempTop[0] = leftGridChain->getGrid()->get_u_value(gridSep);
          tempTop[1] = leftGridChain->get_v_value(gridIndex);
          monoTriangulationRecGen(tempTop, botVertex,
                      leftChain, segLeftMono, leftEnd,
                      rightChain, segRightMono, rightEnd,
                      pStream);
        }//end if both sides have vertices inside the gridboundary points
      else if(leftChain->getVertex(sep_left)[0] >= leftGridChain->get_u_value(gridIndex)) //left n right out
        
        {
          Int segLeftMono, segLeftPass;
          findBotLeftSegment(leftChain,
                 sep_left,
                 down_leftCornerIndex,
                 leftGridChain->get_u_value(gridIndex),
                 segLeftMono,
                 segLeftPass);               
              assert(segLeftPass <= sep_left); //make sure there is a point to the right of u.
              monoTriangulation2(leftGridChain->get_vertex(gridIndex),
                 leftChain->getVertex(segLeftPass),
                 leftChain,
                 down_leftCornerIndex,
                 segLeftPass-1,
                 1, //a increase chain
                 pStream);
              stripOfFanLeft(leftChain, segLeftMono, segLeftPass, 
                 leftGridChain->getGrid(),
                 leftGridChain->getVlineIndex(gridIndex),
                 leftGridChain->getUlineIndex(gridIndex),
                 rightGridChain->getUlineIndex(gridIndex),
                 pStream,1 );
/*
          sampleBotLeftWithGridLinePost(leftChain->getVertex(segLeftMono),
                        leftChain,
                        segLeftMono-1,
                        segLeftMono-1,
                        segLeftPass,
                        down_leftCornerIndex,
                        leftGridChain->getGrid(),
                        leftGridChain->getVlineIndex(gridIndex),
                        leftGridChain->getUlineIndex(gridIndex),
                        rightGridChain->getUlineIndex(gridIndex),
                        pStream);                       
*/
          
          monoTriangulationRecGen(rightGridChain->get_vertex(gridIndex),
                      botVertex,
                      leftChain, segLeftMono, leftEnd,
                      rightChain, down_rightCornerIndex, rightEnd,
                      pStream);
        }//end left in right out
      else if(rightChain->getVertex(sep_right)[0] <= rightGridChain->get_u_value(gridIndex))//left out right in
        {         
          Int segRightMono, segRightPass;
          findBotRightSegment(rightChain, sep_right, down_rightCornerIndex,
                  rightGridChain->get_u_value(gridIndex),
                  segRightMono,
                  segRightPass);
 
              assert(segRightPass <= sep_right); //make sure there is a point to the left of u.
              monoTriangulation2(rightGridChain->get_vertex(gridIndex),
                 rightChain->getVertex(segRightPass),
                 rightChain,
                 down_rightCornerIndex,
                 segRightPass-1,
                 0, // a decrease chain
                 pStream);
 
              stripOfFanRight(rightChain, segRightMono, segRightPass, 
                  rightGridChain->getGrid(),
                  rightGridChain->getVlineIndex(gridIndex),
                  leftGridChain->getUlineIndex(gridIndex),
                  rightGridChain->getUlineIndex(gridIndex),     
                  pStream, 1);
 
 
          monoTriangulationRecGen(leftGridChain->get_vertex(gridIndex),
                      botVertex,
                      leftChain, down_leftCornerIndex, leftEnd,
                      rightChain, segRightMono, rightEnd,
                      pStream);         
 
        }//end left out right in
      else //left out, right out
        {
          sampleCompBotSimple(botVertex, 
                 leftChain,
                 leftEnd,
                 rightChain,
                 rightEnd,
                 leftGridChain,
                 rightGridChain,
                 gridIndex,
                 down_leftCornerWhere,
                 down_leftCornerIndex,
                 down_rightCornerWhere,
                 down_rightCornerIndex,
                 pStream);
        
        }//end leftout right out
    }//end if separator exists
      else //no separator
    {
 
      sampleCompBotSimple(botVertex, 
                 leftChain,
                 leftEnd,
                 rightChain,
                 rightEnd,
                 leftGridChain,
                 rightGridChain,
                 gridIndex,
                 down_leftCornerWhere,
                 down_leftCornerIndex,
                 down_rightCornerWhere,
                 down_rightCornerIndex,
                 pStream);
    }
#endif
    }//end id 0 2
}//end if the functin
 
                 
void sampleCompBotSimple(Real* botVertex,
           vertexArray* leftChain,
           Int leftEnd,
           vertexArray* rightChain,
           Int rightEnd,
           gridBoundaryChain* leftGridChain,
           gridBoundaryChain* rightGridChain,
           Int gridIndex,
           Int down_leftCornerWhere,
           Int down_leftCornerIndex,
           Int down_rightCornerWhere,
           Int down_rightCornerIndex,
           primStream* pStream)  
{
  //the plan is to use monotriangulation algorithm.
  Int i,k;
  Real* ActualTop;
  Real* ActualBot;
  Int ActualLeftStart, ActualLeftEnd;
  Int ActualRightStart, ActualRightEnd;
  
  //creat an array to store the points on the grid line
  gridWrap* grid = leftGridChain->getGrid();
  Int gridV = leftGridChain->getVlineIndex(gridIndex);
  Int gridLeftU = leftGridChain->getUlineIndex(gridIndex);
  Int gridRightU = rightGridChain->getUlineIndex(gridIndex);
  Real2* gridPoints = (Real2*) malloc(sizeof(Real2) * (gridRightU - gridLeftU +1));
  assert(gridPoints);
 
  for(k=0, i=gridRightU; i>= gridLeftU; i--, k++)
    {
      gridPoints[k][0] = grid->get_u_value(i);
      gridPoints[k][1] = grid->get_v_value(gridV);
    }
 
  if(down_rightCornerWhere != 0) //rightCorner is not on lef
    ActualLeftEnd = leftEnd;
  else
    ActualLeftEnd = down_rightCornerIndex-1; //down_rightCornerIndex will be th actualBot
  
  if(down_leftCornerWhere != 0) //left corner is not on let chian
    ActualLeftStart = leftEnd+1; //meaning that there is no actual left section
  else
    ActualLeftStart = down_leftCornerIndex;
  
  vertexArray ActualLeftChain(max(0, ActualLeftEnd - ActualLeftStart +1) + gridRightU - gridLeftU +1);
  
  for(i=0; i<gridRightU - gridLeftU +1 ; i++)
    ActualLeftChain.appendVertex(gridPoints[i]);
  for(i=ActualLeftStart; i<= ActualLeftEnd; i++)
    ActualLeftChain.appendVertex(leftChain->getVertex(i));
  
  //determine ActualRightStart
  if(down_rightCornerWhere != 2) //right is not on right
    ActualRightStart = rightEnd +1; //meaning no section on right
  else
    ActualRightStart = down_rightCornerIndex;
  
  //determine actualrightEnd
  if(down_leftCornerWhere != 2) //left is not on right
    {
 
      ActualRightEnd = rightEnd;
    }
  else //left corner is on right 
    {
      ActualRightEnd = down_leftCornerIndex-1; //down_leftCornerIndex will be the bot
 
    }
 
  //actual bot
  if(down_rightCornerWhere == 2) 
    {
      if(down_leftCornerWhere == 2)
    ActualBot = rightChain->getVertex(down_leftCornerIndex);
      else
    ActualBot = botVertex;
    }
  else if(down_rightCornerWhere == 1) //right corner bot
    ActualBot = botVertex;
  else //down_rightCornerWhere == 0
    ActualBot = leftChain->getVertex(down_rightCornerIndex);
  
  ActualTop = gridPoints[0];
/*
printf("in bot simple, actual leftChain is \n");
ActualLeftChain.print();
printf("Actual Top = %f,%f\n", ActualTop[0],ActualTop[1]);
printf("Actual Bot = %f,%f\n", ActualBot[0],ActualBot[1]);
printf("Actual right start = %i, end=%i\n",ActualRightStart,   ActualRightEnd);
*/
  if(rightChain->getVertex(ActualRightStart)[1] == ActualTop[1])
    monoTriangulationRecGenOpt(rightChain->getVertex(ActualRightStart),
                ActualBot,
                &ActualLeftChain,
                0, 
                ActualLeftChain.getNumElements()-1,
                rightChain,
                ActualRightStart+1,
                ActualRightEnd,
                pStream);
  else
    monoTriangulationRecGenOpt(ActualTop, ActualBot, 
              &ActualLeftChain,
              1, //the first one is the top vertex
              ActualLeftChain.getNumElements()-1,
              rightChain,
              ActualRightStart,
              ActualRightEnd,
              pStream);
  free(gridPoints);
}