#include "TKDInterpolator.h"
+#include "TKDNodeInfo.h"
-#include "TLinearFitter.h"
-#include "TVector.h"
-#include "TTree.h"
-#include "TH2.h"
-#include "TObjArray.h"
-#include "TObjString.h"
-#include "TPad.h"
-#include "TBox.h"
-#include "TGraph.h"
-#include "TMarker.h"
-#include "TRandom.h"
-#include "TROOT.h"
-
-
+#include "TError.h"
+#include "TClonesArray.h"
ClassImp(TKDInterpolator)
-/////////////////////////////////////////////////////////////////////
-// Memory setup of protected data memebers
-// fRefPoints : evaluation point of PDF for each terminal node of underlying KD Tree.
-// | 1st terminal node (fNDim point coordinates) | 2nd terminal node (fNDim point coordinates) | ...
-//
-// fRefValues : evaluation value/error of PDF for each terminal node of underlying KD Tree.
-// | 1st terminal node (value) | 2nd terminal node (value) | ... | 1st terminal node (error) | 2nd terminal node (error) | ...
-/////////////////////////////////////////////////////////////////////
+
//_________________________________________________________________
-TKDInterpolator::TKDInterpolator() : TKDTreeIF()
- ,fNTNodes(0)
- ,fRefPoints(0x0)
- ,fRefValues(0x0)
- ,fDepth(-1)
- ,fTmpPoint(0x0)
- ,fKDhelper(0x0)
- ,fFitter(0x0)
+TKDInterpolator::TKDInterpolator() :
+ TKDInterpolatorBase()
{
// Default constructor. To be used with care since in this case building
// of data structure is completly left to the user responsability.
}
//_________________________________________________________________
-TKDInterpolator::TKDInterpolator(Int_t npoints, Int_t ndim, UInt_t bsize, Float_t **data) : TKDTreeIF(npoints, ndim, bsize, data)
- ,fNTNodes(GetNTerminalNodes())
- ,fRefPoints(0x0)
- ,fRefValues(0x0)
- ,fDepth(-1)
- ,fTmpPoint(0x0)
- ,fKDhelper(0x0)
- ,fFitter(0x0)
-{
-// Wrapper constructor for the similar TKDTree one.
-
- Build();
-}
-
-
-//_________________________________________________________________
-TKDInterpolator::TKDInterpolator(TTree *t, const Char_t *var, const Char_t *cut, UInt_t bsize) : TKDTreeIF()
- ,fNTNodes(0)
- ,fRefPoints(0x0)
- ,fRefValues(0x0)
- ,fDepth(-1)
- ,fTmpPoint(0x0)
- ,fKDhelper(0x0)
- ,fFitter(0x0)
+TKDInterpolator::TKDInterpolator(Int_t ndim, Int_t npoints) :
+ TKDInterpolatorBase(ndim)
{
-// Alocate data from a tree. The variables which have to be analysed are
-// defined in the "var" parameter as a colon separated list. The format should
-// be identical to that used by TTree::Draw().
-//
-//
+// Wrapper constructor for the TKDTree.
- TObjArray *vars = TString(var).Tokenize(":");
- fNDim = vars->GetEntriesFast();
- if(fNDim > 6/*kDimMax*/) Warning("TKDInterpolator(TTree*, const Char_t, const Char_t, UInt_t)", Form("Variable number exceed maximum dimension %d. Results are unpredictable.", 6/*kDimMax*/));
- fBucketSize = bsize;
-
- Int_t np;
- Double_t *v;
- for(int idim=0; idim<fNDim; idim++){
- if(!(np = t->Draw(((TObjString*)(*vars)[idim])->GetName(), cut, "goff"))){
- Warning("TKDInterpolator(TTree*, const Char_t, const Char_t, UInt_t)", Form("Can not access data for %s", ((TObjString*)(*vars)[idim])->GetName() ));
- continue;
- }
- if(!fNpoints){
- fNpoints = np;
- Info("TKDInterpolator(TTree*, const Char_t, const Char_t, UInt_t)", Form("Allocating %d data points in %d dimensions.", fNpoints, fNDim));
- //Float_t *mem = new Float_t[fNDim*fNpoints];
- fData = new Float_t*[fNDim];
- for(int idim=0; idim<fNDim; idim++) fData[idim] = new Float_t[fNpoints]; //&mem[idim*fNpoints];
- kDataOwner = kTRUE;
- }
- v = t->GetV1();
- for(int ip=0; ip<fNpoints; ip++) fData[idim][ip] = (Float_t)v[ip];
- }
- TKDTreeIF::Build();
- fNTNodes = GetNTerminalNodes();
- Build();
+ if(npoints) TKDInterpolatorBase::Build(npoints);
}
+
//_________________________________________________________________
TKDInterpolator::~TKDInterpolator()
{
- if(fFitter) delete fFitter;
- if(fKDhelper) delete fKDhelper;
- if(fTmpPoint) delete [] fTmpPoint;
-
- if(fRefPoints){
- for(int idim=0; idim<fNDim; idim++) delete [] fRefPoints[idim] ;
- delete [] fRefPoints;
- }
- if(fRefValues) delete [] fRefValues;
}
//_________________________________________________________________
-void TKDInterpolator::Build()
+void TKDInterpolator::AddNode(const TKDNodeInfo &node)
{
-// Fill interpolator's data array i.e.
-// - estimation points
-// - corresponding PDF values
-
- if(!fBoundaries) MakeBoundaries();
-
- // allocate memory for data
- fRefValues = new Float_t[fNTNodes];
- fRefPoints = new Float_t*[fNDim];
- for(int id=0; id<fNDim; id++){
- fRefPoints[id] = new Float_t[fNTNodes];
- for(int in=0; in<fNTNodes; in++) fRefPoints[id][in] = 0.;
- }
-
- Float_t *bounds = 0x0;
- Int_t *indexPoints;
- for(int inode=0, tnode = fNnodes; inode<fNTNodes-1; inode++, tnode++){
- fRefValues[inode] = Float_t(fBucketSize)/fNpoints;
- bounds = GetBoundary(tnode);
- for(int idim=0; idim<fNDim; idim++) fRefValues[inode] /= (bounds[2*idim+1] - bounds[2*idim]);
+ if(!fNodes){
+ Warning("TKDInterpolator::SetNode()", "Node array not defined.");
+ return;
+ }
- indexPoints = GetPointsIndexes(tnode);
- // loop points in this terminal node
- for(int idim=0; idim<fNDim; idim++){
- for(int ip = 0; ip<fBucketSize; ip++) fRefPoints[idim][inode] += fData[idim][indexPoints[ip]];
- fRefPoints[idim][inode] /= fBucketSize;
- }
- }
-
- // analyze last (incomplete) terminal node
- Int_t counts = fNpoints%fBucketSize;
- counts = counts ? counts : fBucketSize;
- Int_t inode = fNTNodes - 1, tnode = inode + fNnodes;
- fRefValues[inode] = Float_t(counts)/fNpoints;
- bounds = GetBoundary(tnode);
- for(int idim=0; idim<fNDim; idim++) fRefValues[inode] /= (bounds[2*idim+1] - bounds[2*idim]);
-
- indexPoints = GetPointsIndexes(tnode);
- // loop points in this terminal node
- for(int idim=0; idim<fNDim; idim++){
- for(int ip = 0; ip<counts; ip++) fRefPoints[idim][inode] += fData[idim][indexPoints[ip]];
- fRefPoints[idim][inode] /= counts;
- }
+ Int_t n(GetNTNodes());
+ new((*fNodes)[n++]) TKDNodeInfo(node);
}
//_________________________________________________________________
-Double_t TKDInterpolator::Eval(const Double_t *point, Int_t npoints)
+Bool_t TKDInterpolator::Build(Int_t npoints, Int_t ndim)
{
-// Evaluate PDF at k-dimensional position "point". The initial number of
-// neighbour estimation points is set to "npoints"
-
- //Int_t npoints = Int_t(alpha * fNTNodes);
- //printf("Params : %d NPoints %d\n", lambda, npoints);
- // prepare workers
- if(!fTmpPoint) fTmpPoint = new Double_t[fNDim];
- if(!fKDhelper) fKDhelper = new TKDTreeIF(GetNTerminalNodes(), fNDim, npoints, fRefPoints);
- if(!fFitter){
- // generate parabolic for nD
-
- // calculate number of parameters in the parabolic expresion
- Int_t lambda = 1 + fNDim + fNDim*(fNDim+1)/2;
- //Float_t alpha = Float_t(2*lambda + 1) / fNTNodes; // the bandwidth or smoothing parameter
- TString formula("1");
- for(int idim=0; idim<fNDim; idim++){
- formula += Form("++x[%d]", idim);
- for(int jdim=idim; jdim<fNDim; jdim++) formula += Form("++x[%d]*x[%d]", idim, jdim);
- }
- fFitter = new TLinearFitter(lambda, formula.Data());
- Info("Eval(const Double_t*, Int_t)", Form("Using %s for local interpolation.", formula.Data()));
- }
-
- Float_t pointF[50];
- for(int idim=0; idim<fNDim; idim++) pointF[idim] = point[idim];
- Int_t istart = 0;
- Int_t *index;
- Float_t dist, d0, w0, w;
- Double_t uncertainty = TMath::Sqrt(1./fBucketSize);
- fFitter->ClearPoints();
- do{
- if(!fKDhelper->FindNearestNeighbors(pointF, npoints+1, index, dist)){
- Error("Eval()", Form("Failed retriving %d neighbours for point:", npoints));
- for(int idim=0; idim<fNDim; idim++) printf("%f ", point[idim]);
- printf("\n");
- return -1;
- }
- for(int in=istart; in<npoints; in++){
- //printf("%d index[%2d] x(", in, index[in]);
- d0 = 0.;
- for(int idim=0; idim<fNDim; idim++){
- fTmpPoint[idim] = fRefPoints[idim][index[in]];
- //printf("%6.4f ", fTmpPoint[idim]);
- d0 += TMath::Abs(fTmpPoint[idim] - point[idim]);
- }
- d0 /= dist;
- w0 = (1. - d0*d0*d0);
- w = w0*w0*w0;
-
- //printf(") f = %f [%f] d0 = %6.4f w = %6.4f \n", fRefValues[index[in]], TMath::Log(fRefValues[index[in]]), d0, w);
- fFitter->AddPoint(fTmpPoint, TMath::Log(fRefValues[index[in]]), uncertainty/w);
- }
- istart = npoints;
- npoints += 4;
- } while(fFitter->Eval());
-
- // calculate evaluation
- Int_t ipar = 0;
- Double_t result = fFitter->GetParameter(ipar++);
- for(int idim=0; idim<fNDim; idim++){
- result += fFitter->GetParameter(ipar++)*point[idim];
- for(int jdim=idim; jdim<fNDim; jdim++) result += fFitter->GetParameter(ipar++)*point[idim]*point[jdim];
- }
- //printf("\tResult : %f [%f]\n", TMath::Exp(result), result);
- return TMath::Exp(result);
+ fNSize = ndim;
+ return TKDInterpolatorBase::Build(npoints);
}
-
//_________________________________________________________________
-void TKDInterpolator::DrawNodes(UInt_t ax1, UInt_t ax2, Int_t depth)
+Int_t TKDInterpolator::GetNodeIndex(const Float_t *p)
{
-// Draw nodes structure projected on plane "ax1:ax2". The parameter
-// "depth" specifies the bucket size per node. If depth == -1 draw only
-// terminal nodes and evaluation points (default -1 i.e. bucket size per node equal bucket size specified by the user)
-//
-// Observation:
-// This function creates the nodes (TBox) array for the specified depth
-// but don't delete it. Abusing this function may cause memory leaks !
-
-
- if(!fBoundaries) MakeBoundaries();
-
- // Count nodes in specific view
- Int_t nnodes = 0;
- for(int inode = 0; inode <= 2*fNnodes; inode++){
- if(depth == -1){
- if(!IsTerminal(inode)) continue;
- } else if((inode+1) >> depth != 1) continue;
- nnodes++;
- }
-
- //printf("depth %d nodes %d\n", depth, nnodes);
-
- TH2 *h2 = 0x0;
- if(!(h2 = (TH2S*)gROOT->FindObject("hNodes"))) h2 = new TH2S("hNodes", "", 100, fRange[2*ax1], fRange[2*ax1+1], 100, fRange[2*ax2], fRange[2*ax2+1]);
- h2->GetXaxis()->SetTitle(Form("x_{%d}", ax1));
- h2->GetYaxis()->SetTitle(Form("x_{%d}", ax2));
- h2->Draw();
-
- const Float_t border = 0.;//1.E-4;
- TBox *node_array = new TBox[nnodes], *node;
- Float_t *bounds = 0x0;
- nnodes = 0;
- for(int inode = 0; inode <= 2*fNnodes; inode++){
- if(depth == -1){
- if(!IsTerminal(inode)) continue;
- } else if((inode+1) >> depth != 1) continue;
-
- node = &node_array[nnodes++];
- //node = new TBox(bounds[2*ax1]+border, bounds[2*ax2]+border, bounds[2*ax1+1]-border, bounds[2*ax2+1]-border);
- node->SetFillStyle(3002);
- node->SetFillColor(50+Int_t(gRandom->Uniform()*50.));
- bounds = GetBoundary(inode);
- node->DrawBox(bounds[2*ax1]+border, bounds[2*ax2]+border, bounds[2*ax1+1]-border, bounds[2*ax2+1]-border);
- }
- if(depth != -1) return;
-
- // Draw reference points
- TGraph *ref = new TGraph(GetNTerminalNodes());
- ref->SetMarkerStyle(3);
- ref->SetMarkerSize(.7);
- ref->SetMarkerColor(2);
- for(int inode = 0; inode < GetNTerminalNodes(); inode++) ref->SetPoint(inode, fRefPoints[ax1][inode], fRefPoints[ax2][inode]);
- ref->Draw("p");
- return;
+// printf("TKDInterpolator::GetNodeIndex() ...\n");
+// printf("Looking for p[");
+// for(int i=0; i<fNSize; i++) printf("%f ", p[i]);
+// printf("] ...\n");
+
+ for(Int_t i=GetNTNodes(); i--;)
+ if(((TKDNodeInfo*)(*fNodes)[i])->Has(p)) return i;
+
+ printf("Point p[");
+ for(int i=0; i<fNSize; i++) printf("%f ", p[i]);
+ printf("] outside range.\n");
+ return -1;
}
+
//_________________________________________________________________
-void TKDInterpolator::DrawNode(Int_t tnode, UInt_t ax1, UInt_t ax2)
+Bool_t TKDInterpolator::SetNode(Int_t inode, const TKDNodeInfo &ref)
{
-// Draw node "node" and the data points within.
-//
-// Observation:
-// This function creates some graphical objects
-// but don't delete it. Abusing this function may cause memory leaks !
-
- if(tnode < 0 || tnode >= GetNTerminalNodes()){
- Warning("DrawNode()", Form("Terminal node %d outside defined range.", tnode));
- return;
- }
-
- Int_t inode = tnode;
- tnode += fNnodes;
- // select zone of interest in the indexes array
- Int_t *index = GetPointsIndexes(tnode);
- Int_t nPoints = (tnode == 2*fNnodes) ? fNpoints%fBucketSize : fBucketSize;
-
- // draw data points
- TGraph *g = new TGraph(nPoints);
- g->SetMarkerStyle(7);
- for(int ip = 0; ip<nPoints; ip++) g->SetPoint(ip, fData[ax1][index[ip]], fData[ax2][index[ip]]);
-
- // draw estimation point
- TMarker *m=new TMarker(fRefPoints[ax1][inode], fRefPoints[ax2][inode], 20);
- m->SetMarkerColor(2);
- m->SetMarkerSize(1.7);
-
- // draw node contour
- Float_t *bounds = GetBoundary(tnode);
- TBox *n = new TBox(bounds[2*ax1], bounds[2*ax2], bounds[2*ax1+1], bounds[2*ax2+1]);
- n->SetFillStyle(0);
-
- if(gPad) gPad->Clear();
- g->Draw("ap");
- m->Draw();
- n->Draw();
-
- return;
+ if(!fNodes){
+ Warning("TKDInterpolator::SetNode()", "Node array not defined.");
+ return kFALSE;
+ }
+ if(inode >= GetNTNodes()){
+ Warning("TKDInterpolator::SetNode()", Form("Node array defined up to %d.", GetNTNodes()));
+ return kFALSE;
+ }
+ TKDNodeInfo *node = (TKDNodeInfo*)(*fNodes)[inode];
+ (*node) = ref;
+ return kTRUE;
}
git://git.uio.no / u / mrichter / AliRoot.git / blobdiff