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mazebacktracking.cpp
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#include "mazebacktracking.h"
#include <stdlib.h>
#include <time.h>
#include <stdio.h>
#include <QDebug>
#include <maze.h>
#include <algorithm>
#include "Cell.h"
#include "Matrix.h"
#define UP 0 //-y
#define DOWN 1 //+y
#define LEFT 2 //-x
#define RIGHT 3 //+x
#define prim
#define nodeadend
int mazeBacktracking::copy(mazeBacktracking * mm)
{
for(int i=0;i<MAX;i++)
{
for(int j=0;j<MAX;j++)
{
setVal(i,j,0);
}
}
size=mm->size;
for(int i=0;i<size;i++)
{
for(int j=0;j<size;j++)
{
if (mm->maze->maze_data[i][j]==PATH) this->maze->setPath(i,j);
if (mm->maze->maze_data[i][j]==WALL) this->maze->setWall(i,j);
}
}
return 1;
}
mazeBacktracking::mazeBacktracking(int ssize,bool gen,int n)
{
size=ssize;
srand((unsigned)time(NULL));
maze=new mazeData(size+1);
for (int i=0;i<size+1;i++)
{
for (int j=0;j<size+1;j++)
{
MAZZZ[i][j]=new cellA();
}
}
indeks = 0;
backtrack_x[indeks] = 1;
backtrack_y[indeks] = 1;
init_maze();
if(gen)
{
if(n==0) maze_generator_1();
if(n==1) maze_generator_2();
if(n==2) maze_generator_3();
}
}
void mazeBacktracking::init_maze_back()
{
for(int a = 0; a < MAX; a++)
{
for(int b = 0; b < MAX; b++)
{
if(a % 2 == 0 || b % 2 == 0)
maze->setWall(a,b);
else
maze->setPath(a,b);
}
}
}
void mazeBacktracking::maze_generator_3()
{
//qDebug() << "gen maze 3";
init_maze_back();
//qDebug() << "gen maze 3b";
maze_generator_backtracking(indeks, backtrack_x, backtrack_y, 1, 1, size-2, 1);
mazeData m1;
for(int i=0;i<(size-2)*2+1;i++)
{
for(int j=0;j<(size-2)*2+1;j++)
{
if (maze->maze_data[i][j]) m1.setWall(i,j);
else m1.setPath(i,j);
}
}
for(int i=0;i<MAX;i++)
{
for(int j=0;j<MAX;j++)
{
maze->setPath(i,j);
}
}
for(int i=0;i<MAX;i++)
{
for(int j=0;j<MAX;j++)
{
if (m1.maze_data[i][j]) maze->setWall(i,j);
else maze->setPath(i,j);
}
}
//maze->display();
}
void mazeBacktracking::init_maze()
{
//qDebug() << "size init :"<<size;
int xsize=size;
int ysize=size;
for(int x=0;x<xsize;x++){
for(int y=0;y<ysize;y++){
MAZZZ[x][y]->in = (x==0||x==xsize-1||y==0||y==ysize-1)?1:0;
MAZZZ[x][y]->up = (x==0||x==xsize-1||y==0)?0:1;
MAZZZ[x][y]->left = (x==0||y==0||y==ysize-1)?0:1;
}
}
//qDebug() << "MAZE INIT";
return;
}
void mazeBacktracking::maze_generator_1()
{
// qDebug() << "Maze gen beginning";
int xsize=size;
int ysize=size;
long numin=1; //Number of cells in the maze.
int xcur=1, ycur=1;//start growing from the corner. It could theoretically start growing from anywhere, doesn't matter.
MAZZZ[xcur][ycur]->in = 1;
int whichway;
bool success;
do{
#ifdef nodeadend
if( MAZZZ[xcur][ycur-1]->in&&MAZZZ[xcur][ycur+1]->in&&
MAZZZ[xcur-1][ycur]->in&&MAZZZ[xcur+1][ycur]->in ){
//If at a dead end, randomly destroy a wall to make it not a dead end!
do{
success=0;
whichway=rand()%4;
switch(whichway){
case UP:
if(MAZZZ[xcur][ycur]->up&&ycur!=1){
success=1;
MAZZZ[xcur][ycur]->up=0;
}
break;
case DOWN:
if(MAZZZ[xcur][ycur+1]->up&&ycur!=ysize-2){
success=1;
MAZZZ[xcur][ycur+1]->up=0;
}
break;
case LEFT:
if(MAZZZ[xcur][ycur]->left&&xcur!=1){
success=1;
MAZZZ[xcur][ycur]->left=0;
}
break;
case RIGHT:
if(MAZZZ[xcur+1][ycur]->left&&xcur!=xsize-2){
success=1;
MAZZZ[xcur+1][ycur]->left=0;
}
break;
}
}while(!success);
}
#endif
do{
//randomly find a cell that's in the maze
xcur=rand()%(xsize-2)+1;
ycur=rand()%(ysize-2)+1;
}while(!MAZZZ[xcur][ycur]->in ||
(MAZZZ[xcur][ycur-1]->in&&MAZZZ[xcur][ycur+1]->in&&
MAZZZ[xcur-1][ycur]->in&&MAZZZ[xcur+1][ycur]->in));
do{
//Randomly grow the maze if possible.
success=0;
whichway=rand()%4;
switch(whichway){
case UP:
if(!MAZZZ[xcur][ycur-1]->in){
success=1;
MAZZZ[xcur][ycur]->up=0;
MAZZZ[xcur][ycur-1]->prevx=xcur;
MAZZZ[xcur][ycur-1]->prevy=ycur;
ycur--;
}
break;
case DOWN:
if(!MAZZZ[xcur][ycur+1]->in){
success=1;
MAZZZ[xcur][ycur+1]->up=0;
MAZZZ[xcur][ycur+1]->prevx=xcur;
MAZZZ[xcur][ycur+1]->prevy=ycur;
ycur++;
}
break;
case LEFT:
if(!MAZZZ[xcur-1][ycur]->in){
success=1;
MAZZZ[xcur][ycur]->left=0;
MAZZZ[xcur-1][ycur]->prevx=xcur;
MAZZZ[xcur-1][ycur]->prevy=ycur;
xcur--;
}
break;
case RIGHT:
if(!MAZZZ[xcur+1][ycur]->in){
success=1;
MAZZZ[xcur+1][ycur]->left=0;
MAZZZ[xcur+1][ycur]->prevx=xcur;
MAZZZ[xcur+1][ycur]->prevy=ycur;
xcur++;
}
break;
}
}while(!success);
MAZZZ[xcur][ycur]->in=1;
numin++; //Every iteration of this loop, one maze cell is added to the maze.
}while(numin<(xsize-2)*(ysize-2));
int width=(xsize-1)*2-1;
int height=(ysize-1)*2-1;
for(int y = 0; y <= height - 1; y++){
for(int x = 0; x <= width - 1; x++){
if(x%2 == 1 && y%2 == 1){
if(MAZZZ[x/2+1][y/2+1]->in) maze->setPath(x,y);
else maze->setWall(x,y);
}
if(x%2 == 0 && y%2 == 0){
maze->setWall(x,y);
}
if(x%2 == 0 && y%2 == 1){
if(MAZZZ[x/2+1][y/2+1]->left) maze->setWall(x,y); else maze->setPath(x,y);
}
if(x%2 == 1 && y%2 == 0){
if(MAZZZ[x/2+1][y/2+1]->up) maze->setWall(x,y); else maze->setPath(x,y);
}
}}
//qDebug() << "total cells :" << numin;
//qDebug() << "MAZE GEN";
}
void mazeBacktracking::maze_generator_2()
{
//qDebug() << "Maze gen beginning";
int xsize=size;
int ysize=size;
long numin=1; //Number of cells in the maze.
int xcur=1, ycur=1;//start growing from the corner. It could theoretically start growing from anywhere, doesn't matter.
MAZZZ[xcur][ycur]->in = 1;
int whichway;
bool success;
do{
#ifdef nodeadend
if( MAZZZ[xcur][ycur-1]->in&&MAZZZ[xcur][ycur+1]->in&&
MAZZZ[xcur-1][ycur]->in&&MAZZZ[xcur+1][ycur]->in ){
//If at a dead end, randomly destroy a wall to make it not a dead end!
do{
success=0;
whichway=rand()%4;
switch(whichway){
case UP:
if(MAZZZ[xcur][ycur]->up&&ycur!=1){
success=1;
MAZZZ[xcur][ycur]->up=0;
}
break;
case DOWN:
if(MAZZZ[xcur][ycur+1]->up&&ycur!=ysize-2){
success=1;
MAZZZ[xcur][ycur+1]->up=0;
}
break;
case LEFT:
if(MAZZZ[xcur][ycur]->left&&xcur!=1){
success=1;
MAZZZ[xcur][ycur]->left=0;
}
break;
case RIGHT:
if(MAZZZ[xcur+1][ycur]->left&&xcur!=xsize-2){
success=1;
MAZZZ[xcur+1][ycur]->left=0;
}
break;
}
}while(!success);
}
#endif
while( MAZZZ[xcur][ycur-1]->in&&MAZZZ[xcur][ycur+1]->in&&
MAZZZ[xcur-1][ycur]->in&&MAZZZ[xcur+1][ycur]->in ){
//If all the neighbourhood cells are in, backtrack.
int xcur2=MAZZZ[xcur][ycur]->prevx;
ycur=MAZZZ[xcur][ycur]->prevy;
xcur=xcur2;
}
do{
//Randomly grow the maze if possible.
success=0;
whichway=rand()%4;
switch(whichway){
case UP:
if(!MAZZZ[xcur][ycur-1]->in){
success=1;
MAZZZ[xcur][ycur]->up=0;
MAZZZ[xcur][ycur-1]->prevx=xcur;
MAZZZ[xcur][ycur-1]->prevy=ycur;
ycur--;
}
break;
case DOWN:
if(!MAZZZ[xcur][ycur+1]->in){
success=1;
MAZZZ[xcur][ycur+1]->up=0;
MAZZZ[xcur][ycur+1]->prevx=xcur;
MAZZZ[xcur][ycur+1]->prevy=ycur;
ycur++;
}
break;
case LEFT:
if(!MAZZZ[xcur-1][ycur]->in){
success=1;
MAZZZ[xcur][ycur]->left=0;
MAZZZ[xcur-1][ycur]->prevx=xcur;
MAZZZ[xcur-1][ycur]->prevy=ycur;
xcur--;
}
break;
case RIGHT:
if(!MAZZZ[xcur+1][ycur]->in){
success=1;
MAZZZ[xcur+1][ycur]->left=0;
MAZZZ[xcur+1][ycur]->prevx=xcur;
MAZZZ[xcur+1][ycur]->prevy=ycur;
xcur++;
}
break;
}
}while(!success);
MAZZZ[xcur][ycur]->in=1;
numin++; //Every iteration of this loop, one maze cell is added to the maze.
}while(numin<(xsize-2)*(ysize-2));
int width=(xsize-1)*2-1;
int height=(ysize-1)*2-1;
for(int y = 0; y <= height - 1; y++){
for(int x = 0; x <= width - 1; x++){
if(x%2 == 1 && y%2 == 1){
if(MAZZZ[x/2+1][y/2+1]->in) maze->setPath(x,y);
else maze->setWall(x,y);
}
if(x%2 == 0 && y%2 == 0){
maze->setWall(x,y);
}
if(x%2 == 0 && y%2 == 1){
if(MAZZZ[x/2+1][y/2+1]->left) maze->setWall(x,y); else maze->setPath(x,y);
}
if(x%2 == 1 && y%2 == 0){
if(MAZZZ[x/2+1][y/2+1]->up) maze->setWall(x,y); else maze->setPath(x,y);
}
}}
// qDebug() << "total cells :" << numin;
// qDebug() << "MAZE GEN";
}
void mazeBacktracking::setVal(int a,int b,int val)
{
if ((a<MAX)&&(b<MAX)&&(val==PATH)) maze->setPath(a,b);
if ((a<MAX)&&(b<MAX)&&(val==WALL)) maze->setWall(a,b);
}
int mazeBacktracking::getValue(int x,int y)
{
return maze->getValue(x,y);
}
void mazeBacktracking::maze_generator_backtracking(int indeks, int backtrack_x[CELL], int backtrack_y[CELL], int x, int y, int n, int visited)
{
if(visited < n * n)
{
int neighbour_valid = -1;
int neighbour_x[4];
int neighbour_y[4];
int step[4];
int x_next;
int y_next;
if(x - 2 > 0 && is_closed(maze->maze_data, x - 2, y)) // upside
{
neighbour_valid++;
neighbour_x[neighbour_valid]=x - 2;;
neighbour_y[neighbour_valid]=y;
step[neighbour_valid]=1;
}
if(y - 2 > 0 && is_closed(maze->maze_data, x, y - 2)) // leftside
{
neighbour_valid++;
neighbour_x[neighbour_valid]=x;
neighbour_y[neighbour_valid]=y - 2;
step[neighbour_valid]=2;
}
if(y + 2 < n * 2 + 1 && is_closed(maze->maze_data, x, y + 2)) // rightside
{
neighbour_valid++;
neighbour_x[neighbour_valid]=x;
neighbour_y[neighbour_valid]=y + 2;
step[neighbour_valid]=3;
}
if(x + 2 < n * 2 + 1 && is_closed(maze->maze_data, x + 2, y)) // downside
{
neighbour_valid++;
neighbour_x[neighbour_valid]=x+2;
neighbour_y[neighbour_valid]=y;
step[neighbour_valid]=4;
}
if(neighbour_valid == -1)
{
// backtrack
x_next = backtrack_x[indeks];
y_next = backtrack_y[indeks];
indeks--;
}
if(neighbour_valid!=-1)
{
int randomization = neighbour_valid + 1;
int random = rand()%randomization;
x_next = neighbour_x[random];
y_next = neighbour_y[random];
indeks++;
backtrack_x[indeks] = x_next;
backtrack_y[indeks] = y_next;
int rstep = step[random];
if(rstep == 1)
maze->maze_data[x_next+1][y_next] = PATH;
else if(rstep == 2)
maze->maze_data[x_next][y_next + 1] = PATH;
else if(rstep == 3)
maze->maze_data[x_next][y_next - 1] = PATH;
else if(rstep == 4)
maze->maze_data[x_next - 1][y_next] = PATH;
visited++;
}
// qDebug() << "maze gen call";
maze_generator_backtracking(indeks, backtrack_x, backtrack_y, x_next, y_next, n, visited);
}
}
int mazeBacktracking::is_closed(int mmmaze[MAX][MAX], int x, int y)
{
if(mmmaze[x - 1][y] == WALL
&& mmmaze[x][y - 1] == WALL
&& mmmaze[x][y + 1] == WALL
&& mmmaze[x + 1][y] == WALL
)
return 1;
return 0;
}
void mazeBacktracking::generateKruskal (Matrix<Cell>& theMatrix) {
// In this algorithm, each vertex gets called a 'tree' which has its own number.
// When expanding a vertex, it checks if the two adjacent vertices have different tree numbers.
// In that case, I must change >ALL THE VERTICES THAT HAVE THE VISITED TREE NUMBER TO THE EXPANDING TREE NUMBER<.
// To make that, I use a list for each possible number. This is stored on a vector.
// Each position of the vector contains the list to all the coordinates to vertices that currently have that (the vector position number) as tree number.
// availableVector contains all the coordinates, and is used to randomly select a non-finished vertex so that none gets selected twice. It is removed from there when it gets non expandable.
// There are no requirements whether the visiting vertex has or has not been visited, they just need to belong to different trees.
std::vector<MatrixCoord> availableVector;
std::vector<std::list<MatrixCoord> > treeVector;
MatrixCoord matrixSize = theMatrix.getSize();
for (int i=0; i<matrixSize.x; i++) {
for (int j=0; j<matrixSize.y; j++) {
theMatrix[MatrixCoord(i,j)].visited = 0;
theMatrix[MatrixCoord(i,j)].directions.clear();
theMatrix[MatrixCoord(i,j)].directions.push_back (0);
theMatrix[MatrixCoord(i,j)].directions.push_back (1);
theMatrix[MatrixCoord(i,j)].directions.push_back (2);
theMatrix[MatrixCoord(i,j)].directions.push_back (3);
theMatrix[MatrixCoord(i,j)].tree = i*matrixSize.y + j;
availableVector.push_back (MatrixCoord(i, j));
std::list<MatrixCoord> tempList;
tempList.push_back (MatrixCoord (i, j));
treeVector.push_back (tempList);
}
}
while (availableVector.size() > 0) {
std::random_shuffle (availableVector.begin(), availableVector.end());
MatrixCoord toExpand = availableVector.back();
// int randomIndex = rand() % availableVector.size(); // select one that can possibly expand
// MatrixCoord toExpand = availableVector[randomIndex];
if (theMatrix[toExpand].directions.size() == 0) { // means toExpand cell already tried all dir
// availableVector.erase(availableVector.begin()+randomIndex);
availableVector.pop_back();
theMatrix[toExpand].visited = 2;
}
else { // this one still can expand!
std::random_shuffle (theMatrix[toExpand].directions.begin(), theMatrix[toExpand].directions.end());
// int randomRemainingIndex = rand() % theMatrix[toExpand].directions.size(); // select one of remaining dirs
// int direction = theMatrix[toExpand].directions[randomRemainingIndex];
int direction = theMatrix[toExpand].directions.back();
// theMatrix[toExpand].directions.erase(theMatrix[toExpand].directions.begin()+randomRemainingIndex);
theMatrix[toExpand].directions.pop_back();
MatrixCoord visiting;
switch (direction) {
case 0: // up from here
visiting = toExpand + MatrixCoord(0,1);
if (!theMatrix.outOfBounds(visiting)) {
if (theMatrix[toExpand].tree != theMatrix[visiting].tree) {
std::list<MatrixCoord>& toExpandTree = treeVector[theMatrix[toExpand].tree]; // easier to read
std::list<MatrixCoord>& visitingTree = treeVector[theMatrix[visiting].tree];
for (std::list<MatrixCoord>::iterator it = visitingTree.begin(); it != visitingTree.end(); it++) {
// this loop changes all the 'tree' fields to the same of the expanding one
MatrixCoord& coord = *it;
theMatrix[coord].tree = theMatrix[toExpand].tree;
}
toExpandTree.splice (toExpandTree.end(), visitingTree);
// this method joins visitingTree to end of toExpandTree and clears visitingTree.
theMatrix[visiting].visited = 1;
theMatrix[visiting].down = true;
theMatrix[toExpand].up = true;
}
}
break;
case 1: // down from here
visiting = toExpand + MatrixCoord(0,-1);
if (!theMatrix.outOfBounds(visiting)) {
if (theMatrix[toExpand].tree != theMatrix[visiting].tree) {
std::list<MatrixCoord>& toExpandTree = treeVector[theMatrix[toExpand].tree]; // easier to read
std::list<MatrixCoord>& visitingTree = treeVector[theMatrix[visiting].tree];
for (std::list<MatrixCoord>::iterator it = visitingTree.begin(); it != visitingTree.end(); it++) {
MatrixCoord& coord = *it;
theMatrix[coord].tree = theMatrix[toExpand].tree;
}
toExpandTree.splice (toExpandTree.end(), visitingTree);
theMatrix[visiting].visited = 1;
theMatrix[visiting].up = true;
theMatrix[toExpand].down = true;
}
}
break;
case 2: // right from here
visiting = toExpand + MatrixCoord(1,0);
if (!theMatrix.outOfBounds(visiting)) {
if (theMatrix[toExpand].tree != theMatrix[visiting].tree) {
std::list<MatrixCoord>& toExpandTree = treeVector[theMatrix[toExpand].tree]; // easier to read
std::list<MatrixCoord>& visitingTree = treeVector[theMatrix[visiting].tree];
for (std::list<MatrixCoord>::iterator it = visitingTree.begin(); it != visitingTree.end(); it++) {
MatrixCoord& coord = *it;
theMatrix[coord].tree = theMatrix[toExpand].tree;
}
toExpandTree.splice (toExpandTree.end(), visitingTree);
theMatrix[visiting].visited = 1;
theMatrix[visiting].left = true;
theMatrix[toExpand].right = true;
}
}
break;
case 3:
visiting = toExpand + MatrixCoord(-1,0);
if (!theMatrix.outOfBounds(visiting)) {
if (theMatrix[toExpand].tree != theMatrix[visiting].tree) {
std::list<MatrixCoord>& toExpandTree = treeVector[theMatrix[toExpand].tree]; // easier to read
std::list<MatrixCoord>& visitingTree = treeVector[theMatrix[visiting].tree];
for (std::list<MatrixCoord>::iterator it = visitingTree.begin(); it != visitingTree.end(); it++) {
MatrixCoord& coord = *it;
theMatrix[coord].tree = theMatrix[toExpand].tree;
}
toExpandTree.splice (toExpandTree.end(), visitingTree);
theMatrix[visiting].visited = 1;
theMatrix[visiting].right = true;
theMatrix[toExpand].left = true;
}
}
break;
}
}
}
}
void mazeBacktracking::generatePrim (Matrix<Cell>& theMatrix) {
MatrixCoord matrixSize = theMatrix.getSize();
for (int i=0; i<matrixSize.x; i++) {
for (int j=0; j<matrixSize.y; j++) {
theMatrix[MatrixCoord(i,j)].visited = 0; // 0 unvisited | 1 visited | 2 finished
theMatrix[MatrixCoord(i,j)].directions.clear();
theMatrix[MatrixCoord(i,j)].directions.push_back (0);
theMatrix[MatrixCoord(i,j)].directions.push_back (1);
theMatrix[MatrixCoord(i,j)].directions.push_back (2);
theMatrix[MatrixCoord(i,j)].directions.push_back (3);
}
}
MatrixCoord start (rand() % matrixSize.x, rand() % matrixSize.y); // first is random
std::vector<MatrixCoord> visitedVector; // this vector stores started cells that still can possibly expand
visitedVector.push_back (start); // push the first
theMatrix[start].visited = 1;
while (visitedVector.size() != 0) {
std::random_shuffle (visitedVector.begin(), visitedVector.end());
// int randomIndex = visitedVector.back();
// int randomIndex = rand() % visitedVector.size(); // select one that can possibly expand
MatrixCoord toExpand = visitedVector.back();
if (theMatrix[toExpand].directions.size() == 0) { // means toExpand cell already tried all dir
visitedVector.pop_back();
theMatrix[toExpand].visited = 2;
}
else { // this one still can expand!
std::random_shuffle (theMatrix[toExpand].directions.begin(), theMatrix[toExpand].directions.end());
// int randomRemainingIndex = rand() % theMatrix[toExpand].directions.size(); // select one of remaining dirs
int direction = theMatrix[toExpand].directions.back();
theMatrix[toExpand].directions.pop_back();
MatrixCoord visiting;
switch (direction) {
case 0: // up from here
visiting = toExpand + MatrixCoord(0,1);
if (!theMatrix.outOfBounds(visiting)) {
if (theMatrix[visiting].visited == 0) {
visitedVector.push_back(visiting);
theMatrix[visiting].visited = 1;
theMatrix[visiting].down = true;
theMatrix[toExpand].up = true;
}
}
break;
case 1: // down from here
visiting = toExpand + MatrixCoord(0,-1);
if (!theMatrix.outOfBounds(visiting)) {
if (theMatrix[visiting].visited == 0) {
visitedVector.push_back(visiting);
theMatrix[visiting].visited = 1;
theMatrix[visiting].up = true;
theMatrix[toExpand].down = true;
}
}
break;
case 2: // right from here
visiting = toExpand + MatrixCoord(1,0);
if (!theMatrix.outOfBounds(visiting)) {
if (theMatrix[visiting].visited == 0) {
visitedVector.push_back(visiting);
theMatrix[visiting].visited = 1;
theMatrix[visiting].left = true;
theMatrix[toExpand].right = true;
}
}
break;
case 3:
visiting = toExpand + MatrixCoord(-1,0);
if (!theMatrix.outOfBounds(visiting)) {
if (theMatrix[visiting].visited == 0) {
visitedVector.push_back(visiting);
theMatrix[visiting].visited = 1;
theMatrix[visiting].right = true;
theMatrix[toExpand].left = true;
}
}
break;
}
}
//Matrix<char> field = generateField(theMatrix);
//std::cout << field << std::endl;
}
}
Matrix<char> mazeBacktracking::generateField (Matrix<Cell>& theMatrix) {
MatrixCoord theMatrixSize = theMatrix.getSize();
Matrix<char> rField (2*theMatrixSize.x+1, 2*theMatrixSize.y+1);
for (int i=0; i<rField.getSize().x; i++) {
for (int j=0; j<rField.getSize().y; j++) {
rField[MatrixCoord(i, j)] = '#';
//maze->setWall(i,j);
}
}
for (int i=0; i<theMatrixSize.x; i++) {
for (int j=0; j<theMatrixSize.y; j++) {
MatrixCoord graphCoord(i, j);
MatrixCoord rFieldCoord(2*i+1, 2*j+1);
rField[rFieldCoord] = '.';
if (theMatrix[graphCoord].up) {
rField [rFieldCoord+MatrixCoord(0,1)] = '.';
}
if (theMatrix[graphCoord].down) {
rField [rFieldCoord+MatrixCoord(0,-1)] = '.';
}
if (theMatrix[graphCoord].right) {
rField [rFieldCoord+MatrixCoord(1,0)] = '.';
}
if (theMatrix[graphCoord].left) {
rField [rFieldCoord+MatrixCoord(-1,0)] = '.';
}
}
}
return rField;
}