solve maze by right hand principle

solve maze by right hand principle

hello there
i am solving a text book exercise to solve a maze by right hand principle

i use switch case to deal it

switch ( face )
{
case face_EAST:
{
if( map[x][y + 1] == '.' && map[x + 1][y] == '#' )
{
y = y + 1;
gotoxy(x, y);
face = face_EAST;
}
else if ( map[x - 1][y] == '.' && map[x][y + 1] == '#' )
{
x = x - 1;
gotoxy( x, y );
face = face_NORTH;
}
else if ( map[x + 1][y] == '.' && map[x + 1][y - 1] == '#' )
{
x = x + 1;
gotoxy( x, y );
face = face_SOUTH;
}
else
face = face_SOUTH;
break;
}
case face_SOUTH :
{
if( map[x + 1][y] == '.' && map[x][y - 1] == '#' )
{
x = x + 1;
gotoxy( x, y );
face = face_SOUTH;
}
else if( map[x][y - 1] == '.' && map[x - 1][y - 1] == '#' )
{
y = y - 1;
gotoxy( x, y );
face = face_WEST;
}
else if( map[x][y + 1] == '.' && map[x + 1][y] == '#' )
{
y = y + 1;
gotoxy( x, y );
face = face_EAST;
}
else
face = face_WEST;
break;
}
case face_WEST:
{
if( map[x][y - 1] == '.' && map[x - 1][y] == '#' )
{
y = y - 1;
gotoxy( x, y );
face = face_WEST;
}
else if( map[x - 1][y] == '.' && map[x - 1][y + 1] == '#' )
{
x = x - 1;
gotoxy( x, y );
face = face_NORTH;
}
else if( map[x + 1][y] == '.' && map[x][y - 1] == '#' )
{
x = x + 1;
gotoxy( x, y );
face = face_SOUTH;
}
else if( map[x][y + 1] == '.' && map[x + 1][y] == '#' )
{
y = y + 1;
gotoxy( x, y );
face = face_EAST;
}
else if( map[x - 1][y] == '.' && map[x - 1][y + 1] == '#' )
{
x = x - 1;
gotoxy( x, y );
face = face_NORTH;
}
else
face = face_NORTH;
break;
}
case face_NORTH:
{
if( map[x - 1][y] == '.' && map[x][y + 1] == '#' )
{
x = x - 1;
gotoxy( x, y );
face = face_NORTH;
}
else if( map[x][y - 1] == '.' && map[x - 1][y] == '#' )
{
y = y - 1;
gotoxy( x, y );
face = face_WEST;
}
else if( map[x][y + 1] == '.' && map[x + 1][y + 1] == '#' )
{
y = y + 1;
gotoxy( x, y );
face = face_EAST;
}
else
face = face_EAST;
break;
}
}
i want to know if there any more easy way to make right hand principle work?
i have though to change the coordinate system, but can't implement it