mirror of
https://github.com/NGSolve/netgen.git
synced 2024-11-14 18:08:33 +05:00
1385 lines
31 KiB
C++
1385 lines
31 KiB
C++
#ifndef FILE_ADTREE
|
|
#define FILE_ADTREE
|
|
|
|
/* *************************************************************************/
|
|
/* File: adtree.hh */
|
|
/* Author: Joachim Schoeberl */
|
|
/* Date: 16. Feb. 98 */
|
|
/* Redesigned by Wolfram Muehlhuber, May 1998 */
|
|
/* *************************************************************************/
|
|
|
|
|
|
namespace netgen
|
|
{
|
|
|
|
/**
|
|
Alternating Digital Tree
|
|
*/
|
|
|
|
// #include "../include/mystdlib.h"
|
|
// #include "../include/myadt.hpp"
|
|
|
|
class ADTreeNode
|
|
{
|
|
public:
|
|
ADTreeNode *left, *right, *father;
|
|
int dim;
|
|
float sep;
|
|
float *data;
|
|
float *boxmin;
|
|
float *boxmax;
|
|
int pi;
|
|
int nchilds;
|
|
|
|
ADTreeNode (int adim);
|
|
~ADTreeNode ();
|
|
|
|
friend class ADTree;
|
|
};
|
|
|
|
|
|
class ADTreeCriterion
|
|
{
|
|
public:
|
|
ADTreeCriterion() { }
|
|
virtual int Eval (const ADTreeNode * node) const = 0;
|
|
};
|
|
|
|
|
|
class ADTree
|
|
{
|
|
int dim;
|
|
ADTreeNode * root;
|
|
float *cmin, *cmax;
|
|
NgArray<ADTreeNode*> ela;
|
|
const ADTreeCriterion * criterion;
|
|
|
|
NgArray<ADTreeNode*> stack;
|
|
NgArray<int> stackdir;
|
|
int stackindex;
|
|
|
|
public:
|
|
ADTree (int adim, const float * acmin,
|
|
const float * acmax);
|
|
~ADTree ();
|
|
|
|
void Insert (const float * p, int pi);
|
|
// void GetIntersecting (const float * bmin, const float * bmax,
|
|
// NgArray<int> & pis) const;
|
|
void SetCriterion (ADTreeCriterion & acriterion);
|
|
void Reset ();
|
|
int Next ();
|
|
void GetMatch (NgArray<int> & matches);
|
|
|
|
void DeleteElement (int pi);
|
|
|
|
|
|
void Print (ostream & ost) const
|
|
{ PrintRec (ost, root); }
|
|
|
|
void PrintRec (ostream & ost, const ADTreeNode * node) const;
|
|
};
|
|
|
|
|
|
|
|
class ADTreeNode3
|
|
{
|
|
public:
|
|
ADTreeNode3 *left, *right, *father;
|
|
float sep;
|
|
float data[3];
|
|
int pi;
|
|
int nchilds;
|
|
|
|
ADTreeNode3 ();
|
|
void DeleteChilds ();
|
|
friend class ADTree3;
|
|
|
|
static BlockAllocator ball;
|
|
void * operator new(size_t);
|
|
void operator delete (void *);
|
|
};
|
|
|
|
|
|
class ADTree3
|
|
{
|
|
ADTreeNode3 * root;
|
|
float cmin[3], cmax[3];
|
|
NgArray<ADTreeNode3*> ela;
|
|
|
|
public:
|
|
ADTree3 (const float * acmin,
|
|
const float * acmax);
|
|
~ADTree3 ();
|
|
|
|
void Insert (const float * p, int pi);
|
|
void GetIntersecting (const float * bmin, const float * bmax,
|
|
NgArray<int> & pis) const;
|
|
|
|
void DeleteElement (int pi);
|
|
|
|
|
|
void Print (ostream & ost) const
|
|
{ PrintRec (ost, root); }
|
|
|
|
void PrintRec (ostream & ost, const ADTreeNode3 * node) const;
|
|
};
|
|
|
|
|
|
/*
|
|
|
|
// divide each direction
|
|
#define ADTN_DIV 10
|
|
class ADTreeNode3Div
|
|
{
|
|
public:
|
|
ADTreeNode3Div *father;
|
|
ADTreeNode3Div *childs[ADTN_DIV];
|
|
|
|
float minx, dist;
|
|
float data[3];
|
|
int pi;
|
|
int nchilds;
|
|
|
|
ADTreeNode3Div ();
|
|
void DeleteChilds ();
|
|
friend class ADTree3Div;
|
|
|
|
static BlockAllocator ball;
|
|
void * operator new(size_t);
|
|
void operator delete (void *);
|
|
};
|
|
|
|
|
|
class ADTree3Div
|
|
{
|
|
ADTreeNode3Div * root;
|
|
float cmin[3], cmax[3];
|
|
NgArray<ADTreeNode3Div*> ela;
|
|
|
|
public:
|
|
ADTree3Div (const float * acmin,
|
|
const float * acmax);
|
|
~ADTree3Div ();
|
|
|
|
void Insert (const float * p, int pi);
|
|
void GetIntersecting (const float * bmin, const float * bmax,
|
|
NgArray<int> & pis) const;
|
|
|
|
void DeleteElement (int pi);
|
|
|
|
|
|
void Print (ostream & ost) const
|
|
{ PrintRec (ost, root); }
|
|
|
|
void PrintRec (ostream & ost, const ADTreeNode3Div * node) const;
|
|
};
|
|
|
|
|
|
|
|
|
|
#define ADTN_SIZE 10
|
|
|
|
// multiple entries
|
|
class ADTreeNode3M
|
|
{
|
|
public:
|
|
ADTreeNode3M *left, *right, *father;
|
|
float sep;
|
|
float data[ADTN_SIZE][3];
|
|
int pi[ADTN_SIZE];
|
|
int nchilds;
|
|
|
|
ADTreeNode3M ();
|
|
void DeleteChilds ();
|
|
friend class ADTree3M;
|
|
|
|
static BlockAllocator ball;
|
|
void * operator new(size_t);
|
|
void operator delete (void *);
|
|
};
|
|
|
|
|
|
class ADTree3M
|
|
{
|
|
ADTreeNode3M * root;
|
|
float cmin[3], cmax[3];
|
|
NgArray<ADTreeNode3M*> ela;
|
|
|
|
public:
|
|
ADTree3M (const float * acmin,
|
|
const float * acmax);
|
|
~ADTree3M ();
|
|
|
|
void Insert (const float * p, int pi);
|
|
void GetIntersecting (const float * bmin, const float * bmax,
|
|
NgArray<int> & pis) const;
|
|
|
|
void DeleteElement (int pi);
|
|
|
|
|
|
void Print (ostream & ost) const
|
|
{ PrintRec (ost, root); }
|
|
|
|
void PrintRec (ostream & ost, const ADTreeNode3M * node) const;
|
|
};
|
|
|
|
|
|
|
|
|
|
|
|
|
|
class ADTreeNode3F
|
|
{
|
|
public:
|
|
ADTreeNode3F *father;
|
|
ADTreeNode3F *childs[8];
|
|
float sep[3];
|
|
float data[3];
|
|
int pi;
|
|
int nchilds;
|
|
|
|
ADTreeNode3F ();
|
|
void DeleteChilds ();
|
|
friend class ADTree3F;
|
|
|
|
static BlockAllocator ball;
|
|
void * operator new(size_t);
|
|
void operator delete (void *);
|
|
};
|
|
|
|
// fat tree
|
|
class ADTree3F
|
|
{
|
|
ADTreeNode3F * root;
|
|
float cmin[3], cmax[3];
|
|
NgArray<ADTreeNode3F*> ela;
|
|
|
|
public:
|
|
ADTree3F (const float * acmin,
|
|
const float * acmax);
|
|
~ADTree3F ();
|
|
|
|
void Insert (const float * p, int pi);
|
|
void GetIntersecting (const float * bmin, const float * bmax,
|
|
NgArray<int> & pis) const;
|
|
|
|
void DeleteElement (int pi);
|
|
|
|
|
|
void Print (ostream & ost) const
|
|
{ PrintRec (ost, root); }
|
|
|
|
void PrintRec (ostream & ost, const ADTreeNode3F * node) const;
|
|
};
|
|
|
|
|
|
|
|
|
|
class ADTreeNode3FM
|
|
{
|
|
public:
|
|
ADTreeNode3FM *father;
|
|
ADTreeNode3FM *childs[8];
|
|
float sep[3];
|
|
float data[ADTN_SIZE][3];
|
|
int pi[ADTN_SIZE];
|
|
int nchilds;
|
|
|
|
ADTreeNode3FM ();
|
|
void DeleteChilds ();
|
|
friend class ADTree3FM;
|
|
|
|
static BlockAllocator ball;
|
|
void * operator new(size_t);
|
|
void operator delete (void *);
|
|
};
|
|
|
|
// fat tree
|
|
class ADTree3FM
|
|
{
|
|
ADTreeNode3FM * root;
|
|
float cmin[3], cmax[3];
|
|
NgArray<ADTreeNode3FM*> ela;
|
|
|
|
public:
|
|
ADTree3FM (const float * acmin,
|
|
const float * acmax);
|
|
~ADTree3FM ();
|
|
|
|
void Insert (const float * p, int pi);
|
|
void GetIntersecting (const float * bmin, const float * bmax,
|
|
NgArray<int> & pis) const;
|
|
|
|
void DeleteElement (int pi);
|
|
|
|
|
|
void Print (ostream & ost) const
|
|
{ PrintRec (ost, root); }
|
|
|
|
void PrintRec (ostream & ost, const ADTreeNode3FM * node) const;
|
|
};
|
|
|
|
|
|
|
|
*/
|
|
|
|
|
|
|
|
|
|
|
|
class ADTreeNode6
|
|
{
|
|
public:
|
|
ADTreeNode6 *left, *right, *father;
|
|
float sep;
|
|
float data[6];
|
|
int pi;
|
|
int nchilds;
|
|
|
|
ADTreeNode6 ();
|
|
void DeleteChilds ();
|
|
friend class ADTree6;
|
|
|
|
static BlockAllocator ball;
|
|
void * operator new(size_t);
|
|
void operator delete (void *);
|
|
};
|
|
|
|
|
|
class ADTree6
|
|
{
|
|
ADTreeNode6 * root;
|
|
float cmin[6], cmax[6];
|
|
NgArray<ADTreeNode6*> ela;
|
|
|
|
public:
|
|
ADTree6 (const float * acmin,
|
|
const float * acmax);
|
|
~ADTree6 ();
|
|
|
|
void Insert (const float * p, int pi);
|
|
void GetIntersecting (const float * bmin, const float * bmax,
|
|
NgArray<int> & pis) const;
|
|
|
|
void DeleteElement (int pi);
|
|
|
|
|
|
void Print (ostream & ost) const
|
|
{ PrintRec (ost, root); }
|
|
int Depth () const
|
|
{ return DepthRec (root); }
|
|
int Elements () const
|
|
{ return ElementsRec (root); }
|
|
|
|
void PrintRec (ostream & ost, const ADTreeNode6 * node) const;
|
|
int DepthRec (const ADTreeNode6 * node) const;
|
|
int ElementsRec (const ADTreeNode6 * node) const;
|
|
|
|
void PrintMemInfo (ostream & ost) const;
|
|
};
|
|
|
|
|
|
|
|
|
|
|
|
template <int DIM, typename T>
|
|
class T_ADTreeNode
|
|
{
|
|
public:
|
|
T_ADTreeNode *left, *right, *father;
|
|
float sep;
|
|
// float data[DIM];
|
|
Point<DIM,float> data;
|
|
T pi;
|
|
int nchilds;
|
|
|
|
T_ADTreeNode ()
|
|
{
|
|
// pi = -1;
|
|
SetInvalid(pi);
|
|
left = NULL;
|
|
right = NULL;
|
|
father = NULL;
|
|
nchilds = 0;
|
|
}
|
|
|
|
void DeleteChilds (BlockAllocator & ball)
|
|
{
|
|
if (left)
|
|
{
|
|
left->DeleteChilds(ball);
|
|
ball.Free(left);
|
|
left = NULL;
|
|
}
|
|
if (right)
|
|
{
|
|
right->DeleteChilds(ball);
|
|
ball.Free(right);
|
|
right = NULL;
|
|
}
|
|
}
|
|
};
|
|
|
|
|
|
|
|
template <int dim, typename T = INDEX>
|
|
class T_ADTree
|
|
{
|
|
T_ADTreeNode<dim,T> * root;
|
|
// float cmin[dim], cmax[dim];
|
|
Point<dim> cmin, cmax;
|
|
// NgArray<T_ADTreeNode<dim>*> ela;
|
|
ClosedHashTable<T, T_ADTreeNode<dim,T>*> ela;
|
|
|
|
BlockAllocator ball{sizeof(T_ADTreeNode<dim,T>)};
|
|
public:
|
|
T_ADTree (Point<dim> acmin, Point<dim> acmax)
|
|
{
|
|
cmin = acmin;
|
|
cmax = acmax;
|
|
|
|
root = new (ball.Alloc()) T_ADTreeNode<dim,T>;
|
|
root->sep = (cmin[0] + cmax[0]) / 2;
|
|
}
|
|
|
|
~T_ADTree ()
|
|
{
|
|
root->DeleteChilds(ball);
|
|
ball.Free(root);
|
|
}
|
|
|
|
void Insert (Point<dim> p, T pi)
|
|
{
|
|
T_ADTreeNode<dim,T> *node(NULL);
|
|
T_ADTreeNode<dim,T> *next;
|
|
int dir;
|
|
int lr(0);
|
|
|
|
Point<dim> bmin = cmin;
|
|
Point<dim> bmax = cmax;
|
|
|
|
next = root;
|
|
dir = 0;
|
|
while (next)
|
|
{
|
|
node = next;
|
|
|
|
if (IsInvalid(node->pi))
|
|
{
|
|
// memcpy (node->data, p, dim * sizeof(float));
|
|
node->data = p;
|
|
node->pi = pi;
|
|
|
|
// if (ela.Size() < pi+1)
|
|
// ela.SetSize (pi+1);
|
|
ela[pi] = node;
|
|
|
|
return;
|
|
}
|
|
|
|
if (node->sep > p[dir])
|
|
{
|
|
next = node->left;
|
|
bmax(dir) = node->sep;
|
|
lr = 0;
|
|
}
|
|
else
|
|
{
|
|
next = node->right;
|
|
bmin(dir) = node->sep;
|
|
lr = 1;
|
|
}
|
|
|
|
dir++;
|
|
if (dir == dim) dir = 0;
|
|
}
|
|
|
|
|
|
next = new (ball.Alloc()) T_ADTreeNode<dim,T>;
|
|
next->data = p;
|
|
next->pi = pi;
|
|
next->sep = (bmin[dir] + bmax[dir]) / 2;
|
|
|
|
// if (ela.Size() < pi+1)
|
|
// ela.SetSize (pi+1);
|
|
ela[pi] = next;
|
|
|
|
if (lr)
|
|
node->right = next;
|
|
else
|
|
node->left = next;
|
|
next -> father = node;
|
|
|
|
while (node)
|
|
{
|
|
node->nchilds++;
|
|
node = node->father;
|
|
}
|
|
}
|
|
|
|
|
|
class inttn {
|
|
public:
|
|
int dir;
|
|
T_ADTreeNode<dim,T> * node;
|
|
};
|
|
|
|
void GetIntersecting (Point<dim> bmin, Point<dim> bmax,
|
|
NgArray<T> & pis) const
|
|
{
|
|
NgArrayMem<inttn,10000> stack(10000);
|
|
pis.SetSize(0);
|
|
|
|
stack[0].node = root;
|
|
stack[0].dir = 0;
|
|
int stacks = 0;
|
|
|
|
while (stacks >= 0)
|
|
{
|
|
T_ADTreeNode<dim,T> * node = stack[stacks].node;
|
|
int dir = stack[stacks].dir;
|
|
|
|
stacks--;
|
|
if (!IsInvalid(node->pi)) // != -1)
|
|
{
|
|
bool found = true;
|
|
for (int i = 0; i < dim/2; i++)
|
|
if (node->data[i] > bmax[i])
|
|
found = false;
|
|
for (int i = dim/2; i < dim; i++)
|
|
if (node->data[i] < bmin[i])
|
|
found = false;
|
|
if (found)
|
|
pis.Append (node->pi);
|
|
/*
|
|
if (node->data[0] > bmax[0] ||
|
|
node->data[1] > bmax[1] ||
|
|
node->data[2] > bmax[2] ||
|
|
node->data[3] < bmin[3] ||
|
|
node->data[4] < bmin[4] ||
|
|
node->data[5] < bmin[5])
|
|
;
|
|
else
|
|
{
|
|
pis.Append (node->pi);
|
|
}
|
|
*/
|
|
}
|
|
|
|
int ndir = (dir+1) % dim;
|
|
|
|
if (node->left && bmin[dir] <= node->sep)
|
|
{
|
|
stacks++;
|
|
stack[stacks].node = node->left;
|
|
stack[stacks].dir = ndir;
|
|
}
|
|
if (node->right && bmax[dir] >= node->sep)
|
|
{
|
|
stacks++;
|
|
stack[stacks].node = node->right;
|
|
stack[stacks].dir = ndir;
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
|
|
void DeleteElement (T pi)
|
|
{
|
|
T_ADTreeNode<dim,T> * node = ela[pi];
|
|
ela.Delete(pi);
|
|
|
|
SetInvalid(node->pi); // = -1;
|
|
|
|
node = node->father;
|
|
while (node)
|
|
{
|
|
node->nchilds--;
|
|
node = node->father;
|
|
}
|
|
}
|
|
|
|
|
|
void Print (ostream & ost) const
|
|
{ PrintRec (ost, root); }
|
|
int Depth () const
|
|
{ return DepthRec (root); }
|
|
int Elements () const
|
|
{ return ElementsRec (root); }
|
|
|
|
void PrintRec (ostream & ost, const T_ADTreeNode<dim,T> * node) const
|
|
{
|
|
|
|
// if (node->data) // true anyway
|
|
{
|
|
ost << node->pi << ": ";
|
|
ost << node->nchilds << " childs, ";
|
|
for (int i = 0; i < dim; i++)
|
|
ost << node->data[i] << " ";
|
|
ost << endl;
|
|
}
|
|
if (node->left)
|
|
PrintRec (ost, node->left);
|
|
if (node->right)
|
|
PrintRec (ost, node->right);
|
|
}
|
|
|
|
int DepthRec (const T_ADTreeNode<dim,T> * node) const
|
|
{
|
|
int ldepth = 0;
|
|
int rdepth = 0;
|
|
|
|
if (node->left)
|
|
ldepth = DepthRec(node->left);
|
|
if (node->right)
|
|
rdepth = DepthRec(node->right);
|
|
return 1 + max2 (ldepth, rdepth);
|
|
}
|
|
|
|
int ElementsRec (const T_ADTreeNode<dim,T> * node) const
|
|
{
|
|
int els = 1;
|
|
if (node->left)
|
|
els += ElementsRec(node->left);
|
|
if (node->right)
|
|
els += ElementsRec(node->right);
|
|
return els;
|
|
}
|
|
|
|
|
|
void PrintMemInfo (ostream & ost) const
|
|
{
|
|
ost << Elements() << " elements a " << sizeof(ADTreeNode6)
|
|
<< " Bytes = "
|
|
<< Elements() * sizeof(T_ADTreeNode<dim,T>) << endl;
|
|
ost << "maxind = " << ela.Size() << " = " << sizeof(T_ADTreeNode<dim,T>*) * ela.Size() << " Bytes" << endl;
|
|
}
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/*
|
|
|
|
class ADTreeNode6F
|
|
{
|
|
public:
|
|
ADTreeNode6F * father;
|
|
ADTreeNode6F * childs[64];
|
|
|
|
float sep[6];
|
|
float data[6];
|
|
int pi;
|
|
int nchilds;
|
|
|
|
ADTreeNode6F ();
|
|
void DeleteChilds ();
|
|
friend class ADTree6F;
|
|
|
|
static BlockAllocator ball;
|
|
void * operator new(size_t);
|
|
void operator delete (void *);
|
|
};
|
|
|
|
|
|
class ADTree6F
|
|
{
|
|
ADTreeNode6F * root;
|
|
float cmin[6], cmax[6];
|
|
NgArray<ADTreeNode6F*> ela;
|
|
|
|
public:
|
|
ADTree6F (const float * acmin,
|
|
const float * acmax);
|
|
~ADTree6F ();
|
|
|
|
void Insert (const float * p, int pi);
|
|
void GetIntersecting (const float * bmin, const float * bmax,
|
|
NgArray<int> & pis) const;
|
|
|
|
void DeleteElement (int pi);
|
|
|
|
|
|
void Print (ostream & ost) const
|
|
{ PrintRec (ost, root); }
|
|
int Depth () const
|
|
{ return DepthRec (root); }
|
|
|
|
void PrintRec (ostream & ost, const ADTreeNode6F * node) const;
|
|
int DepthRec (const ADTreeNode6F * node) const;
|
|
};
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
*/
|
|
|
|
|
|
|
|
|
|
|
|
class Point3dTree
|
|
{
|
|
ADTree3 * tree;
|
|
|
|
public:
|
|
DLL_HEADER Point3dTree (const Point<3> & pmin, const Point<3> & pmax);
|
|
DLL_HEADER ~Point3dTree ();
|
|
DLL_HEADER void Insert (const Point<3> & p, int pi);
|
|
void DeleteElement (int pi)
|
|
{ tree->DeleteElement(pi); }
|
|
DLL_HEADER void GetIntersecting (const Point<3> & pmin, const Point<3> & pmax,
|
|
NgArray<int> & pis) const;
|
|
const ADTree3 & Tree() const { return *tree; };
|
|
};
|
|
|
|
template<int dim, typename T=INDEX>
|
|
class BoxTree
|
|
{
|
|
public:
|
|
// Number of entries per leaf
|
|
static constexpr int N = 100;
|
|
|
|
struct Node;
|
|
|
|
struct Leaf
|
|
{
|
|
Point<2*dim> p[N];
|
|
T index[N];
|
|
int n_elements;
|
|
|
|
Leaf() : n_elements(0)
|
|
{ }
|
|
|
|
void Add( ClosedHashTable<T, Leaf*> &leaf_index, const Point<2*dim> &ap, T aindex )
|
|
{
|
|
p[n_elements] = ap;
|
|
index[n_elements] = aindex;
|
|
n_elements++;
|
|
leaf_index[aindex] = this;
|
|
}
|
|
};
|
|
|
|
struct Node
|
|
{
|
|
union
|
|
{
|
|
Node *children[2];
|
|
Leaf *leaf;
|
|
};
|
|
double sep;
|
|
int level;
|
|
|
|
Node()
|
|
: children{nullptr,nullptr}
|
|
{ }
|
|
|
|
~Node()
|
|
{ }
|
|
|
|
Leaf *GetLeaf() const
|
|
{
|
|
return children[1] ? nullptr : leaf;
|
|
}
|
|
};
|
|
|
|
private:
|
|
Node root;
|
|
|
|
ClosedHashTable<T, Leaf*> leaf_index;
|
|
|
|
Point<dim> global_min, global_max;
|
|
double tol;
|
|
size_t n_leaves;
|
|
size_t n_nodes;
|
|
BlockAllocator ball_nodes;
|
|
BlockAllocator ball_leaves;
|
|
|
|
public:
|
|
|
|
BoxTree (const Point<dim> & pmin, const Point<dim> & pmax)
|
|
: global_min(pmin), global_max(pmax), n_leaves(1), n_nodes(1), ball_nodes(sizeof(Node)), ball_leaves(sizeof(Leaf))
|
|
{
|
|
root.leaf = (Leaf*) ball_leaves.Alloc(); new (root.leaf) Leaf();
|
|
root.level = 0;
|
|
tol = 1e-7 * Dist(pmax, pmin);
|
|
}
|
|
|
|
BoxTree (const Box<dim> & box)
|
|
: BoxTree(box.PMin(), box.PMax())
|
|
{ }
|
|
|
|
double GetTolerance() { return tol; }
|
|
|
|
size_t GetNLeaves()
|
|
{
|
|
return n_leaves;
|
|
}
|
|
|
|
size_t GetNNodes()
|
|
{
|
|
return n_nodes;
|
|
}
|
|
|
|
template<typename TFunc>
|
|
void GetFirstIntersecting (const Point<dim> & pmin, const Point<dim> & pmax,
|
|
TFunc func=[](auto pi){return false;}) const
|
|
{
|
|
// static Timer timer("BoxTree::GetIntersecting"); RegionTimer rt(timer);
|
|
// static Timer timer1("BoxTree::GetIntersecting-LinearSearch");
|
|
ArrayMem<const Node*, 100> stack;
|
|
ArrayMem<int, 100> dir_stack;
|
|
|
|
|
|
Point<2*dim> tpmin, tpmax;
|
|
|
|
for (size_t i : IntRange(dim))
|
|
{
|
|
tpmin(i) = global_min(i);
|
|
tpmax(i) = pmax(i)+tol;
|
|
|
|
tpmin(i+dim) = pmin(i)-tol;
|
|
tpmax(i+dim) = global_max(i);
|
|
}
|
|
|
|
stack.SetSize(0);
|
|
stack.Append(&root);
|
|
dir_stack.SetSize(0);
|
|
dir_stack.Append(0);
|
|
|
|
while(stack.Size())
|
|
{
|
|
const Node *node = stack.Last();
|
|
stack.DeleteLast();
|
|
|
|
int dir = dir_stack.Last();
|
|
dir_stack.DeleteLast();
|
|
|
|
if(Leaf *leaf = node->GetLeaf())
|
|
{
|
|
// RegionTimer rt1(timer1);
|
|
for (auto i : IntRange(leaf->n_elements))
|
|
{
|
|
bool intersect = true;
|
|
const auto p = leaf->p[i];
|
|
|
|
for (int d = 0; d < dim; d++)
|
|
if (p[d] > tpmax[d])
|
|
intersect = false;
|
|
for (int d = dim; d < 2*dim; d++)
|
|
if (p[d] < tpmin[d])
|
|
intersect = false;
|
|
if(intersect)
|
|
if(func(leaf->index[i])) return;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
int newdir = dir+1;
|
|
if(newdir==2*dim) newdir = 0;
|
|
if (tpmin[dir] <= node->sep)
|
|
{
|
|
stack.Append(node->children[0]);
|
|
dir_stack.Append(newdir);
|
|
}
|
|
if (tpmax[dir] >= node->sep)
|
|
{
|
|
stack.Append(node->children[1]);
|
|
dir_stack.Append(newdir);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
void GetIntersecting (const Point<dim> & pmin, const Point<dim> & pmax,
|
|
NgArray<T> & pis) const
|
|
{
|
|
pis.SetSize(0);
|
|
GetFirstIntersecting(pmin, pmax, [&pis](auto pi) { pis.Append(pi); return false;});
|
|
}
|
|
|
|
void GetIntersecting(const Point<dim> & pmin,
|
|
const Point<dim> & pmax,
|
|
Array<T> & pis) const
|
|
{
|
|
pis.SetSize0();
|
|
GetFirstIntersecting(pmin, pmax, [&pis](auto pi) { pis.Append(pi); return false;});
|
|
}
|
|
|
|
void Insert (const Box<dim> & box, T pi)
|
|
{
|
|
Insert (box.PMin(), box.PMax(), pi);
|
|
}
|
|
|
|
void Insert (const Point<dim> & pmin, const Point<dim> & pmax, T pi)
|
|
{
|
|
// static Timer timer("BoxTree::Insert"); RegionTimer rt(timer);
|
|
int dir = 0;
|
|
Point<2*dim> p;
|
|
for (auto i : IntRange(dim))
|
|
{
|
|
p(i) = pmin[i];
|
|
p(i+dim) = pmax[i];
|
|
}
|
|
|
|
Node * node = &root;
|
|
Leaf * leaf = node->GetLeaf();
|
|
|
|
// search correct leaf to add point
|
|
while(!leaf)
|
|
{
|
|
node = p[dir] < node->sep ? node->children[0] : node->children[1];
|
|
dir++;
|
|
if(dir==2*dim) dir = 0;
|
|
leaf = node->GetLeaf();
|
|
}
|
|
|
|
// add point to leaf
|
|
if(leaf->n_elements < N)
|
|
leaf->Add(leaf_index, p,pi);
|
|
else // assume leaf->n_elements == N
|
|
{
|
|
// add two new nodes and one new leaf
|
|
int n_elements = leaf->n_elements;
|
|
ArrayMem<double, N> coords(n_elements);
|
|
ArrayMem<int, N> order(n_elements);
|
|
|
|
// separate points in two halves, first sort all coordinates in direction dir
|
|
for (auto i : IntRange(n_elements))
|
|
{
|
|
order[i] = i;
|
|
coords[i] = leaf->p[i][dir];
|
|
}
|
|
|
|
QuickSortI(coords, order);
|
|
int isplit = N/2;
|
|
Leaf *leaf1 = (Leaf*) ball_leaves.Alloc(); new (leaf1) Leaf();
|
|
Leaf *leaf2 = (Leaf*) ball_leaves.Alloc(); new (leaf2) Leaf();
|
|
|
|
for (auto i : order.Range(isplit))
|
|
leaf1->Add(leaf_index, leaf->p[i], leaf->index[i] );
|
|
for (auto i : order.Range(isplit, N))
|
|
leaf2->Add(leaf_index, leaf->p[i], leaf->index[i] );
|
|
|
|
Node *node1 = (Node*) ball_nodes.Alloc(); new (node1) Node();
|
|
node1->leaf = leaf1;
|
|
node1->level = node->level+1;
|
|
|
|
Node *node2 = (Node*) ball_nodes.Alloc(); new (node2) Node();
|
|
node2->leaf = leaf2;
|
|
node2->level = node->level+1;
|
|
|
|
node->children[0] = node1;
|
|
node->children[1] = node2;
|
|
node->sep = 0.5 * (leaf->p[order[isplit-1]][dir] + leaf->p[order[isplit]][dir]);
|
|
|
|
// add new point to one of the new leaves
|
|
if (p[dir] < node->sep)
|
|
leaf1->Add( leaf_index, p, pi );
|
|
else
|
|
leaf2->Add( leaf_index, p, pi );
|
|
|
|
ball_leaves.Free(leaf);
|
|
n_leaves++;
|
|
n_nodes+=2;
|
|
}
|
|
}
|
|
|
|
void DeleteElement (T pi)
|
|
{
|
|
// static Timer timer("BoxTree::DeleteElement"); RegionTimer rt(timer);
|
|
Leaf *leaf = leaf_index[pi];
|
|
leaf_index.Delete(pi);
|
|
auto & n_elements = leaf->n_elements;
|
|
auto & index = leaf->index;
|
|
auto & p = leaf->p;
|
|
|
|
for (auto i : IntRange(n_elements))
|
|
{
|
|
if(index[i] == pi)
|
|
{
|
|
n_elements--;
|
|
if(i!=n_elements)
|
|
{
|
|
index[i] = index[n_elements];
|
|
p[i] = p[n_elements];
|
|
}
|
|
return;
|
|
}
|
|
}
|
|
}
|
|
};
|
|
|
|
// template <int dim, typename T = INDEX>
|
|
// class BoxTree
|
|
// {
|
|
// T_ADTree<2*dim,T> * tree;
|
|
// Point<dim> boxpmin, boxpmax;
|
|
// public:
|
|
// BoxTree (const Box<dim> & abox)
|
|
// {
|
|
// boxpmin = abox.PMin();
|
|
// boxpmax = abox.PMax();
|
|
// Point<2*dim> tpmin, tpmax;
|
|
// for (int i = 0; i < dim; i++)
|
|
// {
|
|
// tpmin(i) = tpmin(i+dim) = boxpmin(i);
|
|
// tpmax(i) = tpmax(i+dim) = boxpmax(i);
|
|
// }
|
|
// tree = new T_ADTree<2*dim,T> (tpmin, tpmax);
|
|
// }
|
|
//
|
|
// BoxTree (const Point<dim> & apmin, const Point<dim> & apmax)
|
|
// {
|
|
// boxpmin = apmin;
|
|
// boxpmax = apmax;
|
|
// Point<2*dim> tpmin, tpmax;
|
|
// for (int i = 0; i < dim; i++)
|
|
// {
|
|
// tpmin(i) = tpmin(i+dim) = boxpmin(i);
|
|
// tpmax(i) = tpmax(i+dim) = boxpmax(i);
|
|
// }
|
|
// tree = new T_ADTree<2*dim,T> (tpmin, tpmax);
|
|
// }
|
|
//
|
|
// ~BoxTree ()
|
|
// {
|
|
// delete tree;
|
|
// }
|
|
//
|
|
// void Insert (const Point<dim> & bmin, const Point<dim> & bmax, T pi)
|
|
// {
|
|
// Point<2*dim> tp;
|
|
//
|
|
// for (size_t i = 0; i < dim; i++)
|
|
// {
|
|
// tp(i) = bmin(i);
|
|
// tp(i+dim) = bmax(i);
|
|
// }
|
|
//
|
|
// tree->Insert (tp, pi);
|
|
// }
|
|
//
|
|
// void Insert (const Box<dim> & box, T pi)
|
|
// {
|
|
// Insert (box.PMin(), box.PMax(), pi);
|
|
// }
|
|
//
|
|
// void DeleteElement (T pi)
|
|
// {
|
|
// tree->DeleteElement(pi);
|
|
// }
|
|
//
|
|
// void GetIntersecting (const Point<dim> & pmin, const Point<dim> & pmax,
|
|
// NgArray<T> & pis) const
|
|
// {
|
|
// Point<2*dim> tpmin, tpmax;
|
|
// double tol = Tolerance();
|
|
// for (size_t i = 0; i < dim; i++)
|
|
// {
|
|
// tpmin(i) = boxpmin(i);
|
|
// tpmax(i) = pmax(i)+tol;
|
|
//
|
|
// tpmin(i+dim) = pmin(i)-tol;
|
|
// tpmax(i+dim) = boxpmax(i);
|
|
// }
|
|
//
|
|
// tree->GetIntersecting (tpmin, tpmax, pis);
|
|
// }
|
|
//
|
|
//
|
|
// double Tolerance() const { return 1e-7 * Dist(boxpmax, boxpmin); } // single precision
|
|
// const auto & Tree() const { return *tree; };
|
|
// auto & Tree() { return *tree; };
|
|
// };
|
|
|
|
template<int dim, typename T=INDEX, typename TSCAL=double>
|
|
class DelaunayTree
|
|
{
|
|
public:
|
|
// Number of entries per leaf
|
|
static constexpr int N = 100;
|
|
|
|
struct Node;
|
|
|
|
struct Leaf
|
|
{
|
|
Point<2*dim, TSCAL> p[N];
|
|
T index[N];
|
|
int n_elements;
|
|
int nr;
|
|
|
|
Leaf() : n_elements(0)
|
|
{ }
|
|
|
|
|
|
void Add( Array<Leaf*> &leaves, Array<T> &leaf_index, const Point<2*dim> &ap, T aindex )
|
|
{
|
|
p[n_elements] = ap;
|
|
index[n_elements] = aindex;
|
|
n_elements++;
|
|
if(leaf_index.Size()<aindex+1)
|
|
leaf_index.SetSize(aindex+1);
|
|
leaf_index[aindex] = nr;
|
|
}
|
|
};
|
|
|
|
struct Node
|
|
{
|
|
union
|
|
{
|
|
Node *children[2];
|
|
Leaf *leaf;
|
|
};
|
|
double sep;
|
|
int level;
|
|
|
|
Node()
|
|
: children{nullptr,nullptr}
|
|
{ }
|
|
|
|
~Node()
|
|
{ }
|
|
|
|
Leaf *GetLeaf() const
|
|
{
|
|
return children[1] ? nullptr : leaf;
|
|
}
|
|
};
|
|
|
|
private:
|
|
Node root;
|
|
|
|
Array<Leaf*> leaves;
|
|
Array<T> leaf_index;
|
|
|
|
Point<dim> global_min, global_max;
|
|
double tol;
|
|
size_t n_leaves;
|
|
size_t n_nodes;
|
|
BlockAllocator ball_nodes;
|
|
BlockAllocator ball_leaves;
|
|
|
|
public:
|
|
|
|
DelaunayTree (const Point<dim> & pmin, const Point<dim> & pmax)
|
|
: global_min(pmin), global_max(pmax), n_leaves(1), n_nodes(1), ball_nodes(sizeof(Node)), ball_leaves(sizeof(Leaf))
|
|
{
|
|
root.leaf = (Leaf*) ball_leaves.Alloc(); new (root.leaf) Leaf();
|
|
root.leaf->nr = 0;
|
|
leaves.Append(root.leaf);
|
|
root.level = 0;
|
|
tol = 1e-7 * Dist(pmax, pmin);
|
|
}
|
|
|
|
DelaunayTree (const Box<dim> & box)
|
|
: DelaunayTree(box.PMin(), box.PMax())
|
|
{ }
|
|
|
|
size_t GetNLeaves()
|
|
{
|
|
return n_leaves;
|
|
}
|
|
|
|
size_t GetNNodes()
|
|
{
|
|
return n_nodes;
|
|
}
|
|
|
|
template<typename TFunc>
|
|
void GetFirstIntersecting (const Point<dim> & pmin, const Point<dim> & pmax,
|
|
TFunc func=[](auto pi){return false;}) const
|
|
{
|
|
// static Timer timer("DelaunayTree::GetIntersecting"); RegionTimer rt(timer);
|
|
// static Timer timer1("DelaunayTree::GetIntersecting-LinearSearch");
|
|
ArrayMem<const Node*, 100> stack;
|
|
ArrayMem<int, 100> dir_stack;
|
|
|
|
|
|
Point<2*dim> tpmin, tpmax;
|
|
|
|
for (size_t i : IntRange(dim))
|
|
{
|
|
tpmin(i) = global_min(i);
|
|
tpmax(i) = pmax(i)+tol;
|
|
|
|
tpmin(i+dim) = pmin(i)-tol;
|
|
tpmax(i+dim) = global_max(i);
|
|
}
|
|
|
|
stack.SetSize(0);
|
|
stack.Append(&root);
|
|
dir_stack.SetSize(0);
|
|
dir_stack.Append(0);
|
|
|
|
while(stack.Size())
|
|
{
|
|
const Node *node = stack.Last();
|
|
stack.DeleteLast();
|
|
|
|
int dir = dir_stack.Last();
|
|
dir_stack.DeleteLast();
|
|
|
|
if(Leaf *leaf = node->GetLeaf())
|
|
{
|
|
// RegionTimer rt1(timer1);
|
|
for (auto i : IntRange(leaf->n_elements))
|
|
{
|
|
bool intersect = true;
|
|
const auto p = leaf->p[i];
|
|
|
|
for (int d = 0; d < dim; d++)
|
|
if (p[d] > tpmax[d])
|
|
intersect = false;
|
|
for (int d = dim; d < 2*dim; d++)
|
|
if (p[d] < tpmin[d])
|
|
intersect = false;
|
|
if(intersect)
|
|
if(func(leaf->index[i])) return;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
int newdir = dir+1;
|
|
if(newdir==2*dim) newdir = 0;
|
|
if (tpmin[dir] <= node->sep)
|
|
{
|
|
stack.Append(node->children[0]);
|
|
dir_stack.Append(newdir);
|
|
}
|
|
if (tpmax[dir] >= node->sep)
|
|
{
|
|
stack.Append(node->children[1]);
|
|
dir_stack.Append(newdir);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
void GetIntersecting (const Point<dim> & pmin, const Point<dim> & pmax,
|
|
NgArray<T> & pis) const
|
|
{
|
|
pis.SetSize(0);
|
|
GetFirstIntersecting(pmin, pmax, [&pis](auto pi) { pis.Append(pi); return false;});
|
|
}
|
|
|
|
void Insert (const Box<dim> & box, T pi)
|
|
{
|
|
Insert (box.PMin(), box.PMax(), pi);
|
|
}
|
|
|
|
void Insert (const Point<dim> & pmin, const Point<dim> & pmax, T pi)
|
|
{
|
|
// static Timer timer("DelaunayTree::Insert"); RegionTimer rt(timer);
|
|
int dir = 0;
|
|
Point<2*dim> p;
|
|
for (auto i : IntRange(dim))
|
|
{
|
|
p(i) = pmin[i];
|
|
p(i+dim) = pmax[i];
|
|
}
|
|
|
|
Node * node = &root;
|
|
Leaf * leaf = node->GetLeaf();
|
|
|
|
// search correct leaf to add point
|
|
while(!leaf)
|
|
{
|
|
node = p[dir] < node->sep ? node->children[0] : node->children[1];
|
|
dir++;
|
|
if(dir==2*dim) dir = 0;
|
|
leaf = node->GetLeaf();
|
|
}
|
|
|
|
// add point to leaf
|
|
if(leaf->n_elements < N)
|
|
leaf->Add(leaves, leaf_index, p,pi);
|
|
else // assume leaf->n_elements == N
|
|
{
|
|
// add two new nodes and one new leaf
|
|
int n_elements = leaf->n_elements;
|
|
ArrayMem<TSCAL, N> coords(n_elements);
|
|
ArrayMem<int, N> order(n_elements);
|
|
|
|
// separate points in two halves, first sort all coordinates in direction dir
|
|
for (auto i : IntRange(n_elements))
|
|
{
|
|
order[i] = i;
|
|
coords[i] = leaf->p[i][dir];
|
|
}
|
|
|
|
QuickSortI(coords, order);
|
|
int isplit = N/2;
|
|
Leaf *leaf1 = (Leaf*) ball_leaves.Alloc(); new (leaf1) Leaf();
|
|
Leaf *leaf2 = (Leaf*) ball_leaves.Alloc(); new (leaf2) Leaf();
|
|
|
|
leaf1->nr = leaf->nr;
|
|
leaf2->nr = leaves.Size();
|
|
leaves.Append(leaf2);
|
|
leaves[leaf1->nr] = leaf1;
|
|
|
|
for (auto i : order.Range(isplit))
|
|
leaf1->Add(leaves, leaf_index, leaf->p[i], leaf->index[i] );
|
|
for (auto i : order.Range(isplit, N))
|
|
leaf2->Add(leaves, leaf_index, leaf->p[i], leaf->index[i] );
|
|
|
|
Node *node1 = (Node*) ball_nodes.Alloc(); new (node1) Node();
|
|
node1->leaf = leaf1;
|
|
node1->level = node->level+1;
|
|
|
|
Node *node2 = (Node*) ball_nodes.Alloc(); new (node2) Node();
|
|
node2->leaf = leaf2;
|
|
node2->level = node->level+1;
|
|
|
|
node->children[0] = node1;
|
|
node->children[1] = node2;
|
|
node->sep = 0.5 * (leaf->p[order[isplit-1]][dir] + leaf->p[order[isplit]][dir]);
|
|
|
|
// add new point to one of the new leaves
|
|
if (p[dir] < node->sep)
|
|
leaf1->Add( leaves, leaf_index, p, pi );
|
|
else
|
|
leaf2->Add( leaves, leaf_index, p, pi );
|
|
|
|
ball_leaves.Free(leaf);
|
|
n_leaves++;
|
|
n_nodes+=2;
|
|
}
|
|
}
|
|
|
|
void DeleteElement (T pi)
|
|
{
|
|
// static Timer timer("DelaunayTree::DeleteElement"); RegionTimer rt(timer);
|
|
Leaf *leaf = leaves[leaf_index[pi]];
|
|
leaf_index[pi] = -1;
|
|
auto & n_elements = leaf->n_elements;
|
|
auto & index = leaf->index;
|
|
auto & p = leaf->p;
|
|
|
|
for (auto i : IntRange(n_elements))
|
|
{
|
|
if(index[i] == pi)
|
|
{
|
|
n_elements--;
|
|
if(i!=n_elements)
|
|
{
|
|
index[i] = index[n_elements];
|
|
p[i] = p[n_elements];
|
|
}
|
|
return;
|
|
}
|
|
}
|
|
}
|
|
};
|
|
}
|
|
|
|
#endif
|