/usr/include/root/TGLMarchingCubes.h is in libroot-graf3d-gl-dev 5.34.14-1build1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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// Author: Timur Pocheptsov 06/01/2009
/*************************************************************************
* Copyright (C) 1995-2009, Rene Brun and Fons Rademakers. *
* All rights reserved. *
* *
* For the licensing terms see $ROOTSYS/LICENSE. *
* For the list of contributors see $ROOTSYS/README/CREDITS. *
*************************************************************************/
#ifndef ROOT_TGLMarchingCubes
#define ROOT_TGLMarchingCubes
#include <vector>
#ifndef ROOT_TH3
#include "TH3.h"
#endif
#ifndef ROOT_TGLIsoMesh
#include "TGLIsoMesh.h"
#endif
#ifndef ROOT_TKDEAdapter
#include "TKDEAdapter.h"
#endif
/*
Implementation of "marching cubes" algortihm for GL module. Used by
TGLTF3Painter and TGLIsoPainter.
Good and clear algorithm explanation can be found here:
http://local.wasp.uwa.edu.au/~pbourke/geometry/polygonise/
*/
class TF3;
class TKDEFGT;
namespace Rgl {
namespace Mc {
/*
Some routines, values and tables for marching cube method.
*/
extern const UInt_t eInt[256];
extern const Float_t vOff[8][3];
extern const UChar_t eConn[12][2];
extern const Float_t eDir[12][3];
extern const Int_t conTbl[256][16];
/*
"T" prefix in class names is only for code-style checker.
*/
/*
TCell is a cube from marching cubes algorithm.
It has "type" - defines, which vertices
are under iso level, which are above.
Vertices numeration:
|z
|
4____________7
/| /|
/ | / |
/ | / |
/ | / |
5____|_______6 |
| 0_______|____3______ y
| / | /
| / | /
| / | /
|/ |/
1____________2
/
/x
TCell's "type" is 8-bit number, one bit per vertex.
So, if vertex 1 and 2 are under iso-surface, type
will be:
7 6 5 4 3 2 1 0 (bit number)
[0 0 0 0 0 1 1 0] bit pattern
type == 6.
Edges numeration:
|z
|
|_____7______
/| /|
/ | / |
4/ 8 6 11
/ | / |
/____|5______/ |
| |_____3_|____|______ y
| / | /
9 / 10 /
| /0 | /2
|/ |/
/____________/
/ 1
/x
There are 12 edges, any of them can be intersected by iso-surface
(not all 12 simultaneously). Edge's intersection is a vertex in
iso-mesh's vertices array, cell holds index of this vertex in
fIds array.
fVals holds "scalar field" or density values in vertices [0, 7].
"V" parameter is the type to hold such values.
*/
template<class V>
class TCell {
public:
TCell() : fType(), fIds(), fVals()
{
//TCell ctor.
//Such mem-initializer list can produce
//warnings with some versions of MSVC,
//but this list is what I want.
}
UInt_t fType;
UInt_t fIds[12];
V fVals[8];
};
/*
TSlice of marching cubes' grid. Has W * H cells.
If you have TH3 hist, GetNbinsX() is W and GetNbinsY() is H.
*/
template<class V>
class TSlice {
public:
TSlice()
{
}
void ResizeSlice(UInt_t w, UInt_t h)
{
fCells.resize(w * h);
}
std::vector<TCell<V> > fCells;
private:
TSlice(const TSlice &rhs);
TSlice & operator = (const TSlice &rhs);
};
/*
Mesh builder requires generic "data source": it can
be a wrapped TH3 object, a wrapped TF3 object or some
"density estimator" object.
Mesh builder inherits this data source type.
TH3Adapter is one of such data sources.
It has _direct_ access to TH3 internal data.
GetBinContent(i, j, k) is a virtual function
and it calls two other virtual functions - this
is very expensive if you call GetBinContent
several million times as I do in marching cubes.
"H" parameter is one of TH3 classes,
"E" is the type of internal data.
For example, H == TH3C, E == Char_t.
*/
template<class H, class E>
class TH3Adapter {
protected:
typedef E ElementType_t;
TH3Adapter()
: fSrc(0), fW(0), fH(0), fD(0), fSliceSize(0)
{
}
UInt_t GetW()const
{
return fW - 2;
}
UInt_t GetH()const
{
return fH - 2;
}
UInt_t GetD()const
{
return fD - 2;
}
void SetDataSource(const H *hist)
{
fSrc = hist->GetArray();
fW = hist->GetNbinsX() + 2;
fH = hist->GetNbinsY() + 2;
fD = hist->GetNbinsZ() + 2;
fSliceSize = fW * fH;
}
void FetchDensities()const{}//Do nothing.
ElementType_t GetData(UInt_t i, UInt_t j, UInt_t k)const
{
i += 1;
j += 1;
k += 1;
return fSrc[k * fSliceSize + j * fW + i];
}
const ElementType_t *fSrc;
UInt_t fW;
UInt_t fH;
UInt_t fD;
UInt_t fSliceSize;
};
/*
TF3Adapter. Lets TMeshBuilder to use TF3 as a 3d array.
TF3Adapter, TF3EdgeSplitter (see below) and TMeshBuilder<TF3, ValueType>
need TGridGeometry<ValueType>, so TGridGeometry is a virtual base.
*/
class TF3Adapter : protected virtual TGridGeometry<Double_t> {
protected:
typedef Double_t ElementType_t;
TF3Adapter() : fTF3(0), fW(0), fH(0), fD(0)
{
}
UInt_t GetW()const
{
return fW;
}
UInt_t GetH()const
{
return fH;
}
UInt_t GetD()const
{
return fD;
}
void SetDataSource(const TF3 *f);
void FetchDensities()const{}//Do nothing.
Double_t GetData(UInt_t i, UInt_t j, UInt_t k)const;
const TF3 *fTF3;//TF3 data source.
//TF3 grid's dimensions.
UInt_t fW;
UInt_t fH;
UInt_t fD;
};
/*
TSourceAdapterSelector is aux. class used by TMeshBuilder to
select "data-source" base depending on data-source type.
*/
template<class> class TSourceAdapterSelector;
template<>
class TSourceAdapterSelector<TH3C> {
public:
typedef TH3Adapter<TH3C, Char_t> Type_t;
};
template<>
class TSourceAdapterSelector<TH3S> {
public:
typedef TH3Adapter<TH3S, Short_t> Type_t;
};
template<>
class TSourceAdapterSelector<TH3I> {
public:
typedef TH3Adapter<TH3I, Int_t> Type_t;
};
template<>
class TSourceAdapterSelector<TH3F> {
public:
typedef TH3Adapter<TH3F, Float_t> Type_t;
};
template<>
class TSourceAdapterSelector<TH3D> {
public:
typedef TH3Adapter<TH3D, Double_t> Type_t;
};
template<>
class TSourceAdapterSelector<TF3> {
public:
typedef TF3Adapter Type_t;
};
template<>
class TSourceAdapterSelector<TKDEFGT> {
public:
typedef Fgt::TKDEAdapter Type_t;
};
/*
Edge splitter is the second base class for TMeshBuilder.
Its task is to split cell's edge by adding new vertex
into mesh.
Default splitter is used by TH3 and KDE.
*/
template<class E, class V>
V GetOffset(E val1, E val2, V iso)
{
const V delta = val2 - val1;
if (!delta)
return 0.5f;
return (iso - val1) / delta;
}
template<class H, class E, class V>
class TDefaultSplitter : protected virtual TGridGeometry<V> {
protected:
void SetNormalEvaluator(const H * /*source*/)
{
}
void SplitEdge(TCell<E> & cell, TIsoMesh<V> * mesh, UInt_t i,
V x, V y, V z, V iso)const
{
V v[3];
const V offset = GetOffset(cell.fVals[eConn[i][0]],
cell.fVals[eConn[i][1]],
iso);
v[0] = x + (vOff[eConn[i][0]][0] + offset * eDir[i][0]) * this->fStepX;
v[1] = y + (vOff[eConn[i][0]][1] + offset * eDir[i][1]) * this->fStepY;
v[2] = z + (vOff[eConn[i][0]][2] + offset * eDir[i][2]) * this->fStepZ;
cell.fIds[i] = mesh->AddVertex(v);
}
};
/*
TF3's edge splitter. Calculates new vertex and surface normal
in this vertex using TF3.
*/
class TF3EdgeSplitter : protected virtual TGridGeometry<Double_t> {
protected:
TF3EdgeSplitter() : fTF3(0)
{
}
void SetNormalEvaluator(const TF3 *tf3)
{
fTF3 = tf3;
}
void SplitEdge(TCell<Double_t> & cell, TIsoMesh<Double_t> * mesh, UInt_t i,
Double_t x, Double_t y, Double_t z, Double_t iso)const;
const TF3 *fTF3;
};
/*
TSplitterSelector is aux. class to select "edge-splitter" base
for TMeshBuilder.
*/
template<class, class> class TSplitterSelector;
template<class V>
class TSplitterSelector<TH3C, V> {
public:
typedef TDefaultSplitter<TH3C, Char_t, V> Type_t;
};
template<class V>
class TSplitterSelector<TH3S, V> {
public:
typedef TDefaultSplitter<TH3S, Short_t, V> Type_t;
};
template<class V>
class TSplitterSelector<TH3I, V> {
public:
typedef TDefaultSplitter<TH3I, Int_t, V> Type_t;
};
template<class V>
class TSplitterSelector<TH3F, V> {
public:
typedef TDefaultSplitter<TH3F, Float_t, V> Type_t;
};
template<class V>
class TSplitterSelector<TH3D, V> {
public:
typedef TDefaultSplitter<TH3D, Double_t, V> Type_t;
};
template<class V>
class TSplitterSelector<TKDEFGT, V> {
public:
typedef TDefaultSplitter<TKDEFGT, Float_t, Float_t> Type_t;
};
template<class V>
class TSplitterSelector<TF3, V> {
public:
typedef TF3EdgeSplitter Type_t;
};
/*
Mesh builder. Polygonizes scalar field - TH3, TF3 or
something else (some density estimator as data-source).
ValueType is Float_t or Double_t - the type of vertex'
x,y,z components.
*/
template<class DataSource, class ValueType>
class TMeshBuilder : public TSourceAdapterSelector<DataSource>::Type_t,
public TSplitterSelector<DataSource, ValueType>::Type_t
{
private:
//Two base classes.
typedef typename TSourceAdapterSelector<DataSource>::Type_t DataSourceBase_t;
typedef typename TSplitterSelector<DataSource, ValueType>::Type_t SplitterBase_t;
//Using declarations required, since these are
//type-dependant names in template.
using DataSourceBase_t::GetW;
using DataSourceBase_t::GetH;
using DataSourceBase_t::GetD;
using DataSourceBase_t::GetData;
using SplitterBase_t::SplitEdge;
typedef typename DataSourceBase_t::ElementType_t ElementType_t;
typedef TCell<ElementType_t> CellType_t;
typedef TSlice<ElementType_t> SliceType_t;
typedef TIsoMesh<ValueType> MeshType_t;
public:
TMeshBuilder(Bool_t averagedNormals, ValueType eps = 1e-7)
: fAvgNormals(averagedNormals), fMesh(0), fIso(), fEpsilon(eps)
{
}
void BuildMesh(const DataSource *src, const TGridGeometry<ValueType> &geom,
MeshType_t *mesh, ValueType iso);
private:
Bool_t fAvgNormals;
SliceType_t fSlices[2];
MeshType_t *fMesh;
ValueType fIso;
ValueType fEpsilon;
void NextStep(UInt_t depth, const SliceType_t *prevSlice,
SliceType_t *curr)const;
void BuildFirstCube(SliceType_t *slice)const;
void BuildRow(SliceType_t *slice)const;
void BuildCol(SliceType_t *slice)const;
void BuildSlice(SliceType_t *slice)const;
void BuildFirstCube(UInt_t depth, const SliceType_t *prevSlice,
SliceType_t *slice)const;
void BuildRow(UInt_t depth, const SliceType_t *prevSlice,
SliceType_t *slice)const;
void BuildCol(UInt_t depth, const SliceType_t *prevSlice,
SliceType_t *slice)const;
void BuildSlice(UInt_t depth, const SliceType_t *prevSlice,
SliceType_t *slice)const;
void BuildNormals()const;
TMeshBuilder(const TMeshBuilder &rhs);
TMeshBuilder & operator = (const TMeshBuilder &rhs);
};
}//namespace Mc
}//namespace Rgl
#endif
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