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27_TREE_MAIN.cpp
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// Implementation of Octree in c++
#include <iostream>
#include <vector>
using namespace std;
/*
#define TopLeftFront 0
#define TopRightFront 1
#define BottomRightFront 2
#define BottomLeftFront 3
#define TopLeftBottom 4
#define TopRightBottom 5
#define BottomRightBack 6
#define BottomLeftBack 7
*/
// tlfz, ,_1_3z
#define North_West_Surface 0 // tlf->x, tlf->y,tlf->z, _1_3x,_1_3y, _1_3z 0
#define North_Middle_Surface 1 // _1_3x + 1, tlf->y, tlf->z, _2_3x,_1_3y ,_1_3z 1
#define North_East_Surface 2 // _2_3x + 1, tlf->y, tlf->z, brb->x , _1_3y ,_1_3z 2
#define Equator_West_Surface 3 // tlf->x, _1_3y + 1, tlf->z, _1_3x, _2_3y , _1_3z 3
#define Equator_Middle_Surface 4 // _1_3x + 1, _1_3y + 1, tlf->z, _2_3x,_2_3y ,_1_3z 4
#define Equator_East_Surface 5 // _2_3x + 1, _1_3y + 1,tlf->z, brb->x,_2_3y ,_1_3z 5
#define South_West_Surface 6 // tlf->x , _2_3y + 1, tlf->z, _1_3x,brb->y ,_1_3z 6
#define South_Middle_Surface 7 // _1_3x + 1, _2_3y + 1, tlf->z, _2_3x, brb->y ,_1_3z 7
#define South_East_Surface 8 // _2_3x + 1, _2_3y + 1, tlf->z, brb->x,brb->y ,_1_3z 8
// _1_3z + 1, _2_3z Down1
#define North_West_Down1 9 // tlf->x, tlf->y,_1_3z + 1, _1_3x,_1_3y, _2_3z 9
#define North_Middle_Down1 10 // _1_3x + 1, tlf->y, _1_3z + 1, _2_3x,_1_3y ,_2_3z 10
#define North_East_Down1 11 // _2_3x + 1, tlf->y, _1_3z + 1, brb->x , _1_3y ,_2_3z 11
#define Equator_West_Down1 12 // tlf->x, _1_3y + 1, _1_3z + 1, _1_3x, _2_3y , _2_3z 12
#define Equator_Middle_Down1 13 // _1_3x + 1, _1_3y + 1, _1_3z + 1, _2_3x,_2_3y ,_2_3z 13
#define Equator_East_Down1 14 // _2_3x + 1, _1_3y + 1,_1_3z + 1, brb->x,_2_3y ,_2_3z 14
#define South_West_Down1 15 // tlf->x , _2_3y + 1, _1_3z + 1, _1_3x,brb->y ,_2_3z 15
#define South_Middle_Down1 16 // _1_3x + 1, _2_3y + 1, _1_3z + 1, _2_3x, brb->y ,_2_3z 16
#define South_East_Down1 17 // _2_3x + 1, _2_3y + 1, _1_3z + 1, brb->x,brb->y ,_2_3z 17
// _2_3z + 1, ,brb->z Down2
#define North_West_Down2 18 //tlf->x, tlf->y,_2_3z + 1, _1_3x,_1_3y, brb->z 18
#define North_Middle_Down2 19 //_1_3x + 1, tlf->y, _2_3z + 1, _2_3x,_1_3y ,brb->z 19
#define North_East_Down2 20 // _2_3x + 1, tlf->y, _2_3z + 1, brb->x , _1_3y ,brb->z 20
#define Equator_West_Down2 21 // tlf->x, _1_3y + 1, _2_3z + 1, _1_3x, _2_3y , brb->z 21
#define Equator_Middle_Down2 22 // _1_3x + 1, _1_3y + 1, _2_3z + 1, _2_3x,_2_3y ,brb->z 22
#define Equator_East_Down2 23 // _2_3x + 1, _1_3y + 1, _2_3z + 1, brb->x,_2_3y ,brb->z 23
#define South_West_Down2 24 // tlf->x , _2_3y + 1, _2_3z + 1, _1_3x,brb->y ,brb->z 24
#define South_Middle_Down2 25 // _1_3x + 1, _2_3y + 1, _2_3z + 1, _2_3x, brb->y ,brb->z 25
#define South_East_Down2 26 // _2_3x + 1, _2_3y + 1, _2_3z + 1, brb->x,brb->y ,brb->z 26
// Structure of a point
struct Point {
double x;
double y;
double z;
Point()
: x(-1.0), y(-1.0), z(-1.0)
{
}
Point(double a, double b, double c)
: x(a), y(b), z(c)
{
}
};
// Octree class
class Octree {
// if point == NULL, node is internal node.
// if point == (-1, -1, -1), node is empty.
Point* point;
// Represent the boundary of the cube
//Point *topLeftFront, *bottomRightBack; // OLD
//vector<Octree*> children; // OLD
Point *tlf, *brb; ///////////////////// <<<<<<<<<<<<<
vector<Octree*> children; // <<<<<<<<<<<<<<<<<<<<
public:
// Constructor
Octree()
{
// To declare empty node
point = new Point();
}
// Constructor with three arguments
Octree(double x, double y, double z)
{
// To declare point node
point = new Point(x, y, z);
}
// Constructor with six arguments
Octree(double x1, double y1, double z1, double x2, double y2, double z2)
{
// This use to construct Octree
// with boundaries defined
if (x2 < x1
|| y2 < y1
|| z2 < z1) {
cout << "boundary points are not valid" << endl;
return;
}
point = nullptr;
//topLeftFront
tlf /// <<<<<<<<<<,
= new Point(x1, y1, z1);
//bottomRightBack
brb /// <<<<<<<<<<<<<<
= new Point(x2, y2, z2);
// Assigning null to the children
//children.assign(8, nullptr);
children.assign(27, nullptr); // <<<<<<<<<<<<<<<<<<<<<<
//for (int i = TopLeftFront;
//i <= BottomLeftBack;
//++i)
for (int i = North_West_Surface; i <= South_East_Down2; ++i) // <<<<<<<<<<<<<<<<<<<<<,,
children[i] = new Octree();
}
// Function to insert a point in the octree
void insert(double x, ///////////////////////////////////////////////////
double y,
double z)
{ //int _2_3p1;
// If the point already exists in the octree
if (find(x, y, z)) {
cout << "Point already exist in the tree" << endl;
return;
}
/* If the point is out of bounds
if (x < topLeftFront->x
|| x > bottomRightBack->x
|| y < topLeftFront->y
|| y > bottomRightBack->y
|| z < topLeftFront->z
|| z > bottomRightBack->z) {
cout << "Point is out of bound" << endl;
return;
*/
if (x < tlf->x || x > brb->x || y < tlf->y || y > brb->y || z < tlf->z || z > brb->z) {
cout << "Point is out of bound" << endl;
//cout << x << y << z << endl;
//cout << tlf->x << brb->x << "||" << tlf->y << brb->y << "||" << tlf->z << brb->z << endl;
return;
}
/* Binary search to insert the point
int midx = (topLeftFront->x
+ bottomRightBack->x)
/ 2;
int midy = (topLeftFront->y
+ bottomRightBack->y)
/ 2;
int midz = (topLeftFront->z
+ bottomRightBack->z)
/ 2;
int pos = -1;
*/
double _1_3x = (tlf->x
+ brb->x)
/ 3.0 ;
double _2_3x = ((tlf->x
+ brb->x)
/ 3.0 ) * 2.0 ;
double _1_3y = (tlf->y
+ brb->y)
/ 3.0 ;
double _2_3y = ((tlf->y
+ brb->y)
/ 3.0 ) * 2.0 ;
double _1_3z = (tlf->z
+ brb->z)
/ 3.0 ;
double _2_3z = ((tlf->z
+ brb->z)
/ 3.0 ) * 2.0 ;
int pos = -1.0;
//$$$$$$$$$$$$$$$ // tlfz, ,_1_3z
//#define North_West_Surface tlfx, tlfy,tlfz, _1_3x,_1_3y, _1_3z 0
if ( x <= _1_3x) {
if ( y <= _1_3y) {
if ( z <= _1_3z)
pos = North_West_Surface; }}
//#define North_Middle_Surface _1_3x + 1, tlfy, tlfz, _2_3x,_1_3y ,_1_3z 1
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if ( y <= _1_3y) {
if ( z <= _1_3z)
pos = North_Middle_Surface; }}
//#define North_East_Surface _2_3x + 1, tlfy, tlfz, brbx,_1_3y ,_1_3z 2
if ( _2_3x + 0.000000000000001 <= x ) {
if ( y <= _1_3y) {
if ( z <= _1_3z)
pos = North_East_Surface; }}
//#define Equator_West_Surface tlfx, _1_3y + 1, tlfz, _1_3x,_2_3y ,_1_3z 3
if ( x <= _1_3x) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( z <= _1_3z)
pos = Equator_West_Surface; }}
//#define Equator_Middle_Surface _1_3x + 1, _1_3y + 1, tlfz, _2_3x,_2_3y ,_1_3z 4
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( z <= _1_3z)
pos = Equator_Middle_Surface; }}
//#define Equator_East_Surface _2_3x + 1, _1_3y + 1,tlfz, brbx,_2_3y ,_1_3z 5
if ( _2_3x + 0.000000000000001 <= x ) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( z <= _1_3z)
pos = Equator_East_Surface; }}
//#define South_West_Surface tlfx, _2_3y + 1, tlfz, _1_3x,brby ,_1_3z 6
if ( x <= _1_3x) {
if (_2_3y + 0.000000000000001 <= y ) {
if ( z <= _1_3z)
pos = South_West_Surface; }}
//#define South_Middle_Surface _1_3x + 1, _2_3y + 1, tlfz, _2_3x,brby ,_1_3z 7
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if (_2_3y + 0.000000000000001 <= y ) {
if (z <= _1_3z)
pos = South_Middle_Surface; }}
//#define South_East_Surface _2_3x + 1, _2_3y + 1, tlfz, brbx,brby ,_1_3z 8
if ( _2_3x + 0.000000000000001 <= x ) {
if (_2_3y + 0.000000000000001 <= y ) {
if ( z <= _1_3z)
pos = South_East_Surface; }}
//$$$$$$$$$$$$$$$$$ // ( _1_3z + 1 <= z <= _2_3z ) Down1
//#define North_West_Down1 tlfx, tlfy,tlfz, _1_3x,_1_3y, _1_3z 0
if ( x <= _1_3x) {
if ( y <= _1_3y) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = North_West_Down1; }}
//#define North_Middle_Down1 _1_3x + 1, tlfy, tlfz, _2_3x,_1_3y ,_1_3z 1
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if ( y <= _1_3y) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = North_Middle_Down1; }}
//#define North_East_Down1 _2_3x + 1, tlfy, tlfz, brbx,_1_3y ,_1_3z 2
if ( _2_3x + 0.000000000000001 <= x ) {
if ( y <= _1_3y) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = North_East_Down1; }}
//#define Equator_West_Down1 tlfx, _1_3y + 1, tlfz, _1_3x,_2_3y ,_1_3z 3
if ( x <= _1_3x) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = Equator_West_Down1; }}
//#define Equator_Middle_Down1 _1_3x + 1, _1_3y + 1, tlfz, _2_3x,_2_3y ,_1_3z 4
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = Equator_Middle_Down1; }}
//#define Equator_East_Down1 _2_3x + 1, _1_3y + 1,tlfz, brbx,_2_3y ,_1_3z 5
if ( _2_3x + 0.000000000000001 <= x ) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = Equator_East_Down1; }}
//#define South_West_Down1 tlfx, _2_3y + 1, tlfz, _1_3x,brby ,_1_3z 6
if ( x <= _1_3x) {
if (_2_3y + 0.000000000000001 <= y ) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = South_West_Down1; }}
//#define South_Middle_Down1 _1_3x + 1, _2_3y + 1, tlfz, _2_3x,brby ,_1_3z 7
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if (_2_3y + 0.000000000000001 <= y ) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = South_Middle_Down1; }}
//#define South_East_Down1 _2_3x + 1, _2_3y + 1, tlfz, brbx,brby ,_1_3z 8
if ( _2_3x + 0.000000000000001 <= x ) {
if (_2_3y + 0.000000000000001 <= y ) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = South_East_Down1; }}
//$$$$$$$$$$$$$$$$ // ( _2_3z + 1 <= z <= brbz ) Down2
//#define North_West_Down2 tlfx, tlfy,tlfz, _1_3x,_1_3y, _1_3z 0
if ( x <= _1_3x) {
if ( y <= _1_3y) {
if ( _2_3z + 0.000000000000001 <= z )
pos = North_West_Down2; }}
//#define North_Middle_Down2 _1_3x + 1, tlfy, tlfz, _2_3x,_1_3y ,_1_3z 1
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if ( y <= _1_3y) {
if ( _2_3z + 0.000000000000001 <= z )
pos = North_Middle_Down2; }}
//#define North_East_Down2 _2_3x + 1, tlfy, tlfz, brbx,_1_3y ,_1_3z 2
if ( _2_3x + 0.000000000000001 <= x ) {
if ( y <= _1_3y) {
if ( _2_3z + 0.000000000000001 <= z )
pos = North_East_Down2; }}
//#define Equator_West_Down2 tlfx, _1_3y + 1, tlfz, _1_3x,_2_3y ,_1_3z 3
if ( x <= _1_3x) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( _2_3z + 0.000000000000001 <= z )
pos = Equator_West_Down2; }}
//#define Equator_Middle_Down2 _1_3x + 1, _1_3y + 1, tlfz, _2_3x,_2_3y ,_1_3z 4
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( _2_3z + 0.000000000000001 <= z )
pos = Equator_Middle_Down2; }}
//#define Equator_East_Down2 _2_3x + 1, _1_3y + 1,tlfz, brbx,_2_3y ,_1_3z 5
if ( _2_3x + 0.000000000000001 <= x ) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( _2_3z + 0.000000000000001 <= z )
pos = Equator_East_Down2; }}
//#define South_West_Down2 tlfx, _2_3y + 1, tlfz, _1_3x,brby ,_1_3z 6
if ( x <= _1_3x) {
if (_2_3y + 0.000000000000001 <= y ) {
if ( _2_3z + 0.000000000000001 <= z )
pos = South_West_Down2; }}
//#define South_Middle_Down2 _1_3x + 1, _2_3y + 1, tlfz, _2_3x,brby ,_1_3z 7
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if (_2_3y + 0.000000000000001 <= y ) {
if ( _2_3z + 0.000000000000001 <= z )
pos = South_Middle_Down2; }}
//#define South_East_Down2 _2_3x + 1, _2_3y + 1, tlfz, brbx,brby ,_1_3z 8
if ( _2_3x + 0.000000000000001 <= x ) {
if (_2_3y + 0.000000000000001 <= y ) {
if ( _2_3z + 0.000000000000001 <= z )
pos = South_East_Down2; }}
//////////////////////////////////
// If an internal node is encountered
if (children[pos]->point == nullptr) {
children[pos]->insert(x, y, z);
return;
}
// If an empty node is encountered
else if (children[pos]->point->x == -1.0) {
delete children[pos];
children[pos] = new Octree(x, y, z);
return;
}
else {
double x_ = children[pos]->point->x; //// <<<<<<<<<<<<<<<<<<<<<<<<<<<<,
double y_ = children[pos]->point->y;
double z_ = children[pos]->point->z;
delete children[pos];
children[pos] = nullptr;
// if (pos == TopLeftFront) { children[pos] = new Octree( ); }
// tlfz, ,_1_3z
//#define North_West_Surface tlf->x, tlf->y,tlf->z, _1_3x,_1_3y, _1_3z 0
if (pos == North_West_Surface) { children[pos] = new Octree( tlf->x, tlf->y,tlf->z, _1_3x,_1_3y, _1_3z ); }
//#define North_Middle_Surface _1_3x + 1, tlf->y, tlf->z, _2_3x,_1_3y ,_1_3z 1
else if (pos == North_Middle_Surface) { children[pos] = new Octree( _1_3x + 0.000000000000001, tlf->y, tlf->z, _2_3x,_1_3y ,_1_3z ); }
//#define North_East_Surface _2_3x + 1, tlf->y, tlf->z, brb->x , _1_3y ,_1_3z 2
else if (pos == North_East_Surface) { children[pos] = new Octree( _2_3x + 0.000000000000001, tlf->y, tlf->z, brb->x , _1_3y ,_1_3z ); }
//#define Equator_West_Surface tlf->x, _1_3y + 1, tlf->z, _1_3x, _2_3y , _1_3z 3
else if (pos == Equator_West_Surface) { children[pos] = new Octree( tlf->x, _1_3y + 0.000000000000001, tlf->z, _1_3x, _2_3y , _1_3z ); }
//#define Equator_Middle_Surface _1_3x + 1, _1_3y + 1, tlf->z, _2_3x,_2_3y ,_1_3z 4
else if (pos == Equator_Middle_Surface) { children[pos] = new Octree( _1_3x + 0.000000000000001, _1_3y + 0.000000000000001, tlf->z, _2_3x,_2_3y ,_1_3z ); }
//#define Equator_East_Surface _2_3x + 1, _1_3y + 1,tlf->z, brb->x,_2_3y ,_1_3z 5
else if (pos == Equator_East_Surface) { children[pos] = new Octree( _2_3x + 0.000000000000001, _1_3y + 0.000000000000001,tlf->z, brb->x,_2_3y ,_1_3z ); }
//#define South_West_Surface tlf->x , _2_3y + 1, tlf->z, _1_3x,brb->y ,_1_3z 6
else if (pos == South_West_Surface) { children[pos] = new Octree( tlf->x , _2_3y + 0.000000000000001, tlf->z, _1_3x,brb->y ,_1_3z ); }
//#define South_Middle_Surface _1_3x + 1, _2_3y + 1, tlf->z, _2_3x, brb->y ,_1_3z 7
else if (pos == South_Middle_Surface) { children[pos] = new Octree( _1_3x + 0.000000000000001, _2_3y + 0.000000000000001, tlf->z, _2_3x, brb->y ,_1_3z ); }
//#define South_East_Surface _2_3x + 1, _2_3y + 1, tlf->z, brb->x,brb->y ,_1_3z 8
else if (pos == South_East_Surface) { children[pos] = new Octree( _2_3x + 0.000000000000001, _2_3y + 0.000000000000001, tlf->z, brb->x,brb->y ,_1_3z ); }
// _1_3z + 1, _2_3z Down1
//#define North_West_Down1 tlf->x, tlf->y,_1_3z + 1, _1_3x,_1_3y, _2_3z 9
else if (pos == North_West_Down1) { children[pos] = new Octree( tlf->x, tlf->y,_1_3z + 0.000000000000001, _1_3x,_1_3y, _2_3z ); }
//#define North_Middle_Down1 _1_3x + 1, tlf->y, _1_3z + 1, _2_3x,_1_3y ,_2_3z 10
else if (pos == North_Middle_Down1) { children[pos] = new Octree( _1_3x + 0.000000000000001, tlf->y, _1_3z + 0.000000000000001, _2_3x,_1_3y ,_2_3z ); }
//#define North_East_Down1 _2_3x + 1, tlf->y, _1_3z + 1, brb->x , _1_3y ,_2_3z 11
else if (pos == North_East_Down1) { children[pos] = new Octree( _2_3x + 0.000000000000001, tlf->y, _1_3z + 0.000000000000001, brb->x , _1_3y ,_2_3z ); }
//#define Equator_West_Down1 tlf->x, _1_3y + 1, _1_3z + 1, _1_3x, _2_3y , _2_3z 12
else if (pos == Equator_West_Down1) { children[pos] = new Octree( tlf->x, _1_3y + 0.000000000000001, _1_3z + 0.000000000000001, _1_3x, _2_3y , _2_3z ); }
//#define Equator_Middle_Down1 _1_3x + 1, _1_3y + 1, _1_3z + 1, _2_3x,_2_3y ,_2_3z 13
else if (pos == Equator_Middle_Down1) { children[pos] = new Octree( _1_3x + 0.000000000000001, _1_3y + 0.000000000000001, _1_3z + 0.000000000000001, _2_3x,_2_3y ,_2_3z ); }
//#define Equator_East_Down1 _2_3x + 1, _1_3y + 1,_1_3z + 1, brb->x,_2_3y ,_2_3z 14
else if (pos == Equator_East_Down1) { children[pos] = new Octree( _2_3x + 0.000000000000001, _1_3y + 0.000000000000001,_1_3z + 0.000000000000001, brb->x,_2_3y ,_2_3z ); }
//#define South_West_Down1 tlf->x , _2_3y + 1, _1_3z + 1, _1_3x,brb->y ,_2_3z 15
else if (pos == South_West_Down1) { children[pos] = new Octree( tlf->x , _2_3y + 0.000000000000001, _1_3z + 0.000000000000001, _1_3x,brb->y ,_2_3z ); }
//#define South_Middle_Down1 _1_3x + 1, _2_3y + 1, _1_3z + 1, _2_3x, brb->y ,_2_3z 16
else if (pos == South_Middle_Down1) { children[pos] = new Octree( _1_3x + 0.000000000000001, _2_3y + 0.000000000000001, _1_3z + 0.000000000000001, _2_3x, brb->y ,_2_3z ); }
//#define South_East_Down1 _2_3x + 1, _2_3y + 1, _1_3z + 1, brb->x,brb->y ,_2_3z 17
else if (pos == South_East_Down1) { children[pos] = new Octree( _2_3x + 0.000000000000001, _2_3y + 0.000000000000001, _1_3z + 0.000000000000001, brb->x,brb->y ,_2_3z ); }
// _2_3z + 1, ,brb->z Down2
//#define North_West_Down2 tlf->x, tlf->y,_2_3z + 1, _1_3x,_1_3y, brb->z 18
else if (pos == North_West_Down2) { children[pos] = new Octree( tlf->x, tlf->y,_2_3z + 0.000000000000001, _1_3x,_1_3y, brb->z ); }
//#define North_Middle_Down2 _1_3x + 1, tlf->y, _2_3z + 1, _2_3x,_1_3y ,brb->z 19
else if (pos == North_Middle_Down2) { children[pos] = new Octree( _1_3x + 0.000000000000001, tlf->y, _2_3z + 0.000000000000001, _2_3x,_1_3y ,brb->z ); }
//#define North_East_Down2 _2_3x + 1, tlf->y, _2_3z + 1, brb->x , _1_3y ,brb->z 20
else if (pos == North_East_Down2) { children[pos] = new Octree( _2_3x + 0.000000000000001, tlf->y, _2_3z + 0.000000000000001, brb->x , _1_3y ,brb->z ); }
//#define Equator_West_Down2 tlf->x, _1_3y + 1, _2_3z + 1, _1_3x, _2_3y , brb->z 21
else if (pos == Equator_West_Down2) { children[pos] = new Octree( tlf->x, _1_3y + 0.000000000000001, _2_3z + 0.000000000000001, _1_3x, _2_3y , brb->z ); }
//#define Equator_Middle_Down2 _1_3x + 1, _1_3y + 1, _2_3z + 1, _2_3x,_2_3y ,brb->z 22
else if (pos == Equator_Middle_Down2) { children[pos] = new Octree( _1_3x + 0.000000000000001, _1_3y + 0.000000000000001, _2_3z + 0.000000000000001, _2_3x,_2_3y ,brb->z ); }
//#define Equator_East_Down2 _2_3x + 1, _1_3y + 1, _2_3z + 1, brb->x,_2_3y ,brb->z 23
else if (pos == Equator_East_Down2) { children[pos] = new Octree( _2_3x + 0.000000000000001, _1_3y + 0.000000000000001, _2_3z + 0.000000000000001, brb->x,_2_3y ,brb->z ); }
//#define South_West_Down2 tlf->x , _2_3y + 1, _2_3z + 1, _1_3x,brb->y ,brb->z 24
else if (pos == South_West_Down2) { children[pos] = new Octree( tlf->x , _2_3y + 0.000000000000001, _2_3z + 0.000000000000001, _1_3x,brb->y ,brb->z ); }
//#define South_Middle_Down2 _1_3x + 1, _2_3y + 1, _2_3z + 1, _2_3x, brb->y ,brb->z 25
else if (pos == South_Middle_Down2) { children[pos] = new Octree( _1_3x + 0.000000000000001, _2_3y + 0.000000000000001, _2_3z + 0.000000000000001, _2_3x, brb->y ,brb->z ); }
//#define South_East_Down2 _2_3x + 1, _2_3y + 1, _2_3z + 1, brb->x,brb->y ,brb->z 26
else if (pos == South_East_Down2) { children[pos] = new Octree( _2_3x + 0.000000000000001, _2_3y + 0.000000000000001, _2_3z + 0.000000000000001, brb->x,brb->y ,brb->z ); }
/* Checking the octant of
// the point
if (x <= midx) {
if (y <= midy) {
if (z <= midz)
pos = TopLeftFront;
else
pos = TopLeftBottom;
}
else {
if (z <= midz)
pos = BottomLeftFront;
else
pos = BottomLeftBack;
}
}
else {
if (y <= midy) {
if (z <= midz)
pos = TopRightFront;
else
pos = TopRightBottom;
}
else {
if (z <= midz)
pos = BottomRightFront;
else
pos = BottomRightBack;
}
}
*/
/* If an internal node is encountered
if (children[pos]->point == nullptr) {
children[pos]->insert(x, y, z);
return;
}
// If an empty node is encountered
else if (children[pos]->point->x == -1) {
delete children[pos];
children[pos] = new Octree(x, y, z);
return;
}
else {
int x_ = children[pos]->point->x,
y_ = children[pos]->point->y,
z_ = children[pos]->point->z;
delete children[pos];
children[pos] = nullptr;
if (pos == TopLeftFront) {
children[pos] = new Octree(topLeftFront->x,
topLeftFront->y,
topLeftFront->z,
midx,
midy,
midz);
}
else if (pos == TopRightFront) {
children[pos] = new Octree(midx + 1,
topLeftFront->y,
topLeftFront->z,
bottomRightBack->x,
midy,
midz);
}
else if (pos == BottomRightFront) {
children[pos] = new Octree(midx + 1,
midy + 1,
topLeftFront->z,
bottomRightBack->x,
bottomRightBack->y,
midz);
}
else if (pos == BottomLeftFront) {
children[pos] = new Octree(topLeftFront->x,
midy + 1,
topLeftFront->z,
midx,
bottomRightBack->y,
midz);
}
else if (pos == TopLeftBottom) {
children[pos] = new Octree(topLeftFront->x,
topLeftFront->y,
midz + 1,
midx,
midy,
bottomRightBack->z);
}
else if (pos == TopRightBottom) {
children[pos] = new Octree(midx + 1,
topLeftFront->y,
midz + 1,
bottomRightBack->x,
midy,
bottomRightBack->z);
}
else if (pos == BottomRightBack) {
children[pos] = new Octree(midx + 1,
midy + 1,
midz + 1,
bottomRightBack->x,
bottomRightBack->y,
bottomRightBack->z);
}
else if (pos == BottomLeftBack) {
children[pos] = new Octree(topLeftFront->x,
midy + 1,
midz + 1,
midx,
bottomRightBack->y,
bottomRightBack->z);
}
*/
children[pos]->insert(x_, y_, z_);
children[pos]->insert(x, y, z);
}
}
// Function that returns true if the point
// (x, y, z) exists in the octree ///////////////////////////////////////////////////
bool find(double x, double y, double z)
{
/* If point is out of bound
if (x < topLeftFront->x
|| x > bottomRightBack->x
|| y < topLeftFront->y
|| y > bottomRightBack->y
|| z < topLeftFront->z
|| z > bottomRightBack->z)
return 0;
*/
if (x < tlf->x || x > brb->x || y < tlf->y || y > brb->y || z < tlf->z || z > brb->z) return 0;
// Otherwise perform binary search
// for each ordinate
double _1_3x = (tlf->x
+ brb->x)
/ 3.0 ;
double _2_3x = ((tlf->x
+ brb->x)
/ 3.0 ) * 2.0 ;
double _1_3y = (tlf->y
+ brb->y)
/ 3.0 ;
double _2_3y = ((tlf->y
+ brb->y)
/ 3.0 ) * 2.0 ;
double _1_3z = (tlf->z
+ brb->z)
/ 3.0 ;
double _2_3z = ((tlf->z
+ brb->z)
/ 3.0 ) * 2.0 ;
int pos = -1.0;
//$$$$$$$$$$$$$$$ // tlfz, ,_1_3z
//#define North_West_Surface tlfx, tlfy,tlfz, _1_3x,_1_3y, _1_3z 0
if ( x <= _1_3x) {
if ( y <= _1_3y) {
if ( z <= _1_3z)
pos = North_West_Surface; }}
//#define North_Middle_Surface _1_3x + 1, tlfy, tlfz, _2_3x,_1_3y ,_1_3z 1
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if ( y <= _1_3y) {
if ( z <= _1_3z)
pos = North_Middle_Surface; }}
//#define North_East_Surface _2_3x + 1, tlfy, tlfz, brbx,_1_3y ,_1_3z 2
if ( _2_3x + 0.000000000000001 <= x ) {
if ( y <= _1_3y) {
if ( z <= _1_3z)
pos = North_East_Surface; }}
//#define Equator_West_Surface tlfx, _1_3y + 1, tlfz, _1_3x,_2_3y ,_1_3z 3
if ( x <= _1_3x) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( z <= _1_3z)
pos = Equator_West_Surface; }}
//#define Equator_Middle_Surface _1_3x + 1, _1_3y + 1, tlfz, _2_3x,_2_3y ,_1_3z 4
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( z <= _1_3z)
pos = Equator_Middle_Surface; }}
//#define Equator_East_Surface _2_3x + 1, _1_3y + 1,tlfz, brbx,_2_3y ,_1_3z 5
if ( _2_3x + 0.000000000000001 <= x ) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( z <= _1_3z)
pos = Equator_East_Surface; }}
//#define South_West_Surface tlfx, _2_3y + 1, tlfz, _1_3x,brby ,_1_3z 6
if ( x <= _1_3x) {
if (_2_3y + 0.000000000000001 <= y ) {
if ( z <= _1_3z)
pos = South_West_Surface; }}
//#define South_Middle_Surface _1_3x + 1, _2_3y + 1, tlfz, _2_3x,brby ,_1_3z 7
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if (_2_3y + 0.000000000000001 <= y ) {
if (z <= _1_3z)
pos = South_Middle_Surface; }}
//#define South_East_Surface _2_3x + 1, _2_3y + 1, tlfz, brbx,brby ,_1_3z 8
if ( _2_3x + 0.000000000000001 <= x ) {
if (_2_3y + 0.000000000000001 <= y ) {
if ( z <= _1_3z)
pos = South_East_Surface; }}
//$$$$$$$$$$$$$$$$$ // ( _1_3z + 1 <= z <= _2_3z ) Down1
//#define North_West_Down1 tlfx, tlfy,tlfz, _1_3x,_1_3y, _1_3z 0
if ( x <= _1_3x) {
if ( y <= _1_3y) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = North_West_Down1; }}
//#define North_Middle_Down1 _1_3x + 1, tlfy, tlfz, _2_3x,_1_3y ,_1_3z 1
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if ( y <= _1_3y) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = North_Middle_Down1; }}
//#define North_East_Down1 _2_3x + 1, tlfy, tlfz, brbx,_1_3y ,_1_3z 2
if ( _2_3x + 0.000000000000001 <= x ) {
if ( y <= _1_3y) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = North_East_Down1; }}
//#define Equator_West_Down1 tlfx, _1_3y + 1, tlfz, _1_3x,_2_3y ,_1_3z 3
if ( x <= _1_3x) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = Equator_West_Down1; }}
//#define Equator_Middle_Down1 _1_3x + 1, _1_3y + 1, tlfz, _2_3x,_2_3y ,_1_3z 4
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = Equator_Middle_Down1; }}
//#define Equator_East_Down1 _2_3x + 1, _1_3y + 1,tlfz, brbx,_2_3y ,_1_3z 5
if ( _2_3x + 0.000000000000001 <= x ) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = Equator_East_Down1; }}
//#define South_West_Down1 tlfx, _2_3y + 1, tlfz, _1_3x,brby ,_1_3z 6
if ( x <= _1_3x) {
if (_2_3y + 0.000000000000001 <= y ) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = South_West_Down1; }}
//#define South_Middle_Down1 _1_3x + 1, _2_3y + 1, tlfz, _2_3x,brby ,_1_3z 7
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if (_2_3y + 0.000000000000001 <= y ) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = South_Middle_Down1; }}
//#define South_East_Down1 _2_3x + 1, _2_3y + 1, tlfz, brbx,brby ,_1_3z 8
if ( _2_3x + 0.000000000000001 <= x ) {
if (_2_3y + 0.000000000000001 <= y ) {
if ( _1_3z + 0.000000000000001 <= z <= _2_3z )
pos = South_East_Down1; }}
//$$$$$$$$$$$$$$$$ // ( _2_3z + 1 <= z <= brbz ) Down2
//#define North_West_Down2 tlfx, tlfy,tlfz, _1_3x,_1_3y, _1_3z 0
if ( x <= _1_3x) {
if ( y <= _1_3y) {
if ( _2_3z + 0.000000000000001 <= z )
pos = North_West_Down2; }}
//#define North_Middle_Down2 _1_3x + 1, tlfy, tlfz, _2_3x,_1_3y ,_1_3z 1
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if ( y <= _1_3y) {
if ( _2_3z + 0.000000000000001 <= z )
pos = North_Middle_Down2; }}
//#define North_East_Down2 _2_3x + 1, tlfy, tlfz, brbx,_1_3y ,_1_3z 2
if ( _2_3x + 0.000000000000001 <= x ) {
if ( y <= _1_3y) {
if ( _2_3z + 0.000000000000001 <= z )
pos = North_East_Down2; }}
//#define Equator_West_Down2 tlfx, _1_3y + 1, tlfz, _1_3x,_2_3y ,_1_3z 3
if ( x <= _1_3x) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( _2_3z + 0.000000000000001 <= z )
pos = Equator_West_Down2; }}
//#define Equator_Middle_Down2 _1_3x + 1, _1_3y + 1, tlfz, _2_3x,_2_3y ,_1_3z 4
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( _2_3z + 0.000000000000001 <= z )
pos = Equator_Middle_Down2; }}
//#define Equator_East_Down2 _2_3x + 1, _1_3y + 1,tlfz, brbx,_2_3y ,_1_3z 5
if ( _2_3x + 0.000000000000001 <= x ) {
if (_1_3y + 0.000000000000001 <= y <= _2_3y) {
if ( _2_3z + 0.000000000000001 <= z )
pos = Equator_East_Down2; }}
//#define South_West_Down2 tlfx, _2_3y + 1, tlfz, _1_3x,brby ,_1_3z 6
if ( x <= _1_3x) {
if (_2_3y + 0.000000000000001 <= y ) {
if ( _2_3z + 0.000000000000001 <= z )
pos = South_West_Down2; }}
//#define South_Middle_Down2 _1_3x + 1, _2_3y + 1, tlfz, _2_3x,brby ,_1_3z 7
if ( _1_3x + 0.000000000000001 <= x <= _2_3x) {
if (_2_3y + 0.000000000000001 <= y ) {
if ( _2_3z + 0.000000000000001 <= z )
pos = South_Middle_Down2; }}
//#define South_East_Down2 _2_3x + 1, _2_3y + 1, tlfz, brbx,brby ,_1_3z 8
if ( _2_3x + 0.000000000000001 <= x ) {
if (_2_3y + 0.000000000000001 <= y ) {
if ( _2_3z + 0.000000000000001 <= z )
pos = South_East_Down2; }}
// If an internal node is encountered
if (children[pos]->point == nullptr) {
return children[pos]->find(x, y, z);
}
// If an empty node is encountered
else if (children[pos]->point->x == -1.0) {
return 0;
}
else {
// If node is found with
// the given value
if (x == children[pos]->point->x
&& y == children[pos]->point->y
&& z == children[pos]->point->z)
return 1;
}
return 0;
}
};
// Driver code
int main() ///////////////////////////////////////////////////
{
Octree tree(0, 0, 0, 5, 5, 5);
tree.insert(1, 2, 3);
tree.insert(1, 2, 3); // Point already exist in the tree
tree.insert(6, 5, 5); // Point is out of bound
cout << (tree.find(1, 2, 3) // Found
? "Found\n"
: "Not Found\n");
cout << (tree.find(3, 4, 4) // Not Found
? "Found\n"
: "Not Found\n");
tree.insert(3, 4, 4);
cout << (tree.find(3, 4, 4) // Found
? "Found\n"
: "Not Found\n");
return 0;
}
// 0.000000000000001 tree.insert(1, 5, 4);