#include "TKDInterpolator.h"
+#include "TKDNodeInfo.h"
-#include "TLinearFitter.h"
-#include "TTree.h"
-#include "TH2.h"
-#include "TObjArray.h"
-#include "TObjString.h"
-#include "TBox.h"
-#include "TGraph.h"
-#include "TMarker.h"
-#include "TVectorD.h"
-#include "TMatrixD.h"
+#include "TClonesArray.h"
ClassImp(TKDInterpolator)
-ClassImp(TKDInterpolator::TKDNodeInfo)
-/////////////////////////////////////////////////////////////////////
-// Memory setup of protected data members
-// 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) | ...
-//
-// status = |0|0|0|0|0|1(tri-cubic weights)|1(STORE)|1 INT(0 COG )|
-/////////////////////////////////////////////////////////////////////
-//_________________________________________________________________
-TKDInterpolator::TKDNodeInfo::TKDNodeInfo(const Int_t dim):
- fNDim(dim)
- ,fRefPoint(0x0)
- ,fRefValue(0.)
- ,fCov(0x0)
- ,fPar(0x0)
-{
- if(fNDim) Build(dim);
-}
-
-//_________________________________________________________________
-TKDInterpolator::TKDNodeInfo::~TKDNodeInfo()
-{
- if(fRefPoint) delete [] fRefPoint;
- if(fCov){
- delete fPar;
- delete fCov;
- }
-}
-
-//_________________________________________________________________
-void TKDInterpolator::TKDNodeInfo::Build(const Int_t dim)
-{
-// Allocate/Reallocate space for this node.
-
- if(!dim) return;
-
- fNDim = dim;
- Int_t lambda = Int_t(1 + fNDim + .5*fNDim*(fNDim+1));
- if(fRefPoint) delete [] fRefPoint;
- fRefPoint = new Float_t[fNDim];
- if(fCov){
- fCov->ResizeTo(lambda, lambda);
- fPar->ResizeTo(lambda);
- }
- return;
-}
//_________________________________________________________________
-void TKDInterpolator::TKDNodeInfo::Store(const TVectorD &par, const TMatrixD &cov)
-{
- if(!fCov){
- fCov = new TMatrixD(cov.GetNrows(), cov.GetNrows());
- fPar = new TVectorD(par.GetNrows());
- }
- (*fPar) = par;
- (*fCov) = cov;
-}
-
-//_________________________________________________________________
-Double_t TKDInterpolator::TKDNodeInfo::CookPDF(const Double_t *point, Double_t &result, Double_t &error)
-{
-// Recalculate the PDF for one node from the results of interpolation (parameters and covariance matrix)
-
- if(fNDim>10) return 0.; // support only up to 10 dimensions
-
- Int_t lambda = 1 + fNDim + (fNDim*(fNDim+1)>>1);
- Double_t fdfdp[66];
- Int_t ipar = 0;
- fdfdp[ipar++] = 1.;
- for(int idim=0; idim<fNDim; idim++){
- fdfdp[ipar++] = point[idim];
- for(int jdim=idim; jdim<fNDim; jdim++) fdfdp[ipar++] = point[idim]*point[jdim];
- }
-
- // calculate estimation
- result =0.; error = 0.;
- for(int i=0; i<lambda; i++){
- result += fdfdp[i]*(*fPar)(i);
- for(int j=0; j<lambda; j++) error += fdfdp[i]*fdfdp[j]*(*fCov)(i,j);
- }
- error = TMath::Sqrt(error);
-
- //printf("TKDNodeInfo::CookPDF() : %6.3f +- %6.3f\n", result, error);
-
- return 0.;
-}
-
-
-//_________________________________________________________________
-TKDInterpolator::TKDInterpolator() : TKDTreeIF()
- ,fNTNodes(0)
- ,fTNodes(0x0)
- ,fStatus(4)
- ,fLambda(0)
- ,fDepth(-1)
- ,fAlpha(.5)
- ,fRefPoints(0x0)
- ,fBuffer(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(GetNTNodes())
- ,fTNodes(0x0)
- ,fStatus(4)
- ,fLambda(0)
- ,fDepth(-1)
- ,fAlpha(.5)
- ,fRefPoints(0x0)
- ,fBuffer(0x0)
- ,fKDhelper(0x0)
- ,fFitter(0x0)
+TKDInterpolator::TKDInterpolator(Int_t ndim, Int_t npoints) :
+ TKDInterpolatorBase(ndim)
{
// Wrapper constructor for the TKDTree.
- Build();
+ if(npoints) TKDInterpolatorBase::Build(npoints);
}
-//_________________________________________________________________
-TKDInterpolator::TKDInterpolator(TTree *t, const Char_t *var, const Char_t *cut, UInt_t bsize, Long64_t nentries, Long64_t firstentry) : TKDTreeIF()
- ,fNTNodes(0)
- ,fTNodes(0x0)
- ,fStatus(4)
- ,fLambda(0)
- ,fDepth(-1)
- ,fAlpha(.5)
- ,fRefPoints(0x0)
- ,fBuffer(0x0)
- ,fKDhelper(0x0)
- ,fFitter(0x0)
-{
-// 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().
-//
-//
-
- TObjArray *vars = TString(var).Tokenize(":");
- fNDim = vars->GetEntriesFast(); fNDimm = 2*fNDim;
- 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", nentries, firstentry))){
- Warning("TKDInterpolator(TTree*, const Char_t, const Char_t, UInt_t)", Form("Can not access data for keys %s. Key defined on tree :", ((TObjString*)(*vars)[idim])->GetName() ));
- TIterator *it = (t->GetListOfLeaves())->MakeIterator();
- TObject *o;
- while((o = (*it)())) printf("\t%s\n", o->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));
- fData = new Float_t*[fNDim];
- for(int idim=0; idim<fNDim; idim++) fData[idim] = new Float_t[fNpoints];
- kDataOwner = kTRUE;
- }
- v = t->GetV1();
- for(int ip=0; ip<fNpoints; ip++) fData[idim][ip] = (Float_t)v[ip];
- }
- TKDTreeIF::Build();
- Build();
-}
-
//_________________________________________________________________
TKDInterpolator::~TKDInterpolator()
{
- if(fFitter) delete fFitter;
- if(fKDhelper) delete fKDhelper;
- if(fBuffer) delete [] fBuffer;
-
- if(fRefPoints){
- for(int idim=0; idim<fNDim; idim++) delete [] fRefPoints[idim] ;
- delete [] fRefPoints;
- }
- if(fTNodes) delete [] fTNodes;
}
//_________________________________________________________________
-void TKDInterpolator::Build()
+void TKDInterpolator::AddNode(const TKDNodeInfo &node)
{
-// Fill interpolator's data array i.e.
-// - estimation points
-// - corresponding PDF values
-
- fNTNodes = TKDTreeIF::GetNTNodes();
- if(!fBoundaries) MakeBoundaries();
- fLambda = 1 + fNDim + (fNDim*(fNDim+1)>>1);
- //printf("after MakeBoundaries() %d\n", memory());
-
- // allocate memory for data
- fTNodes = new TKDNodeInfo[fNTNodes];
- for(int in=0; in<fNTNodes; in++) fTNodes[in].Build(fNDim);
- //printf("after BuildNodes() %d\n", memory());
-
- Float_t *bounds = 0x0;
- Int_t *indexPoints;
- for(int inode=0, tnode = fNnodes; inode<fNTNodes-1; inode++, tnode++){
- fTNodes[inode].fRefValue = Float_t(fBucketSize)/fNpoints;
- bounds = GetBoundary(tnode);
- for(int idim=0; idim<fNDim; idim++) fTNodes[inode].fRefValue /= (bounds[2*idim+1] - bounds[2*idim]);
-
- indexPoints = GetPointsIndexes(tnode);
- // loop points in this terminal node
- for(int idim=0; idim<fNDim; idim++){
- fTNodes[inode].fRefPoint[idim] = 0.;
- for(int ip = 0; ip<fBucketSize; ip++){
-/* printf("\t\tindex[%d] = %d %f\n", ip, indexPoints[ip], fData[idim][indexPoints[ip]]);*/
- fTNodes[inode].fRefPoint[idim] += fData[idim][indexPoints[ip]];
- }
- fTNodes[inode].fRefPoint[idim] /= fBucketSize;
- }
- }
-
- // analyze last (incomplete) terminal node
- Int_t counts = fNpoints%fBucketSize;
- counts = counts ? counts : fBucketSize;
- Int_t inode = fNTNodes - 1, tnode = inode + fNnodes;
- fTNodes[inode].fRefValue = Float_t(counts)/fNpoints;
- bounds = GetBoundary(tnode);
- for(int idim=0; idim<fNDim; idim++) fTNodes[inode].fRefValue /= (bounds[2*idim+1] - bounds[2*idim]);
-
- // loop points in this terminal node
- indexPoints = GetPointsIndexes(tnode);
- for(int idim=0; idim<fNDim; idim++){
- fTNodes[inode].fRefPoint[idim] = 0.;
- for(int ip = 0; ip<counts; ip++) fTNodes[inode].fRefPoint[idim] += fData[idim][indexPoints[ip]];
- fTNodes[inode].fRefPoint[idim] /= counts;
- }
-}
-
-//__________________________________________________________________
-void TKDInterpolator::GetStatus()
-{
-// Prints the status of the interpolator
-
- printf("Interpolator Status :\n");
- printf(" Method : %s\n", fStatus&1 ? "INT" : "COG");
- printf(" Store : %s\n", fStatus&2 ? "YES" : "NO");
- printf(" Weights: %s\n", fStatus&4 ? "YES" : "NO");
- return;
-
- printf("fNTNodes %d\n", fNTNodes); //Number of evaluation data points
- for(int i=0; i<fNTNodes; i++){
- printf("%d ", i);
- for(int idim=0; idim<fNDim; idim++) printf("%f ", fTNodes[i].fRefPoint[idim]);
- printf("[%f] %s\n", fTNodes[i].fRefValue, fTNodes[i].fCov ? "true" : "false");
- printf("Fit parameters : ");
- if(!fTNodes[i].fPar){
- printf("Not defined.\n");
- continue;
- }
- for(int ip=0; ip<3; ip++) printf("p%d[%f] ", ip, (*fTNodes[i].fPar)(ip));
- printf("\n");
- }
-}
-
-//_________________________________________________________________
-Double_t TKDInterpolator::Eval(const Double_t *point, Double_t &result, Double_t &error, Bool_t force)
-{
-// Evaluate PDF for "point". The result is returned in "result" and error in "error". The function returns the chi2 of the fit.
-//
-// Observations:
-//
-// 1. The default method used for interpolation is kCOG.
-// 2. The initial number of neighbors used for the estimation is set to Int(alpha*fLambda) (alpha = 1.5)
-
- Float_t pointF[50]; // local Float_t conversion for "point"
- for(int idim=0; idim<fNDim; idim++) pointF[idim] = (Float_t)point[idim];
- Int_t node = FindNode(pointF) - fNnodes;
- if((fStatus&1) && fTNodes[node].fCov && !force) return fTNodes[node].CookPDF(point, result, error);
-
- // Allocate memory
- if(!fBuffer) fBuffer = new Double_t[2*fLambda];
- if(!fKDhelper){
- 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] = fTNodes[in].fRefPoint[id];
- }
-// for(int in=0; in<fNTNodes; in++){
-// printf("%3d ", in);
-// for(int id=0; id<fNDim; id++) printf("%6.3f ", fTNodes[in].fRefPoint[id]/*fRefPoints[id][in]*/);
-// printf("\n");
-// }
- fKDhelper = new TKDTreeIF(fNTNodes, fNDim, 30, fRefPoints);
- fKDhelper->MakeBoundaries();
- }
- if(!fFitter) fFitter = new TLinearFitter(fLambda, Form("hyp%d", fLambda-1));
-
- // generate parabolic for nD
- //Float_t alpha = Float_t(2*lambda + 1) / fNTNodes; // the bandwidth or smoothing parameter
- //Int_t npoints = Int_t(alpha * fNTNodes);
- //printf("Params : %d NPoints %d\n", lambda, npoints);
- // prepare workers
-
- Int_t *index, // indexes of NN
- ipar, // local looping variable
- npoints = Int_t((1.+fAlpha)*fLambda); // number of data points used for interpolation
- Float_t *dist, // distances of NN
- d, // NN normalized distance
- w0, // work
- w; // tri-cubic weight function
- Double_t sig // bucket error
- = TMath::Sqrt(1./fBucketSize);
-
- do{
- // find nearest neighbors
- for(int idim=0; idim<fNDim; idim++) pointF[idim] = (Float_t)point[idim];
- 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;
- }
- // add points to fitter
- fFitter->ClearPoints();
- TKDNodeInfo *node = 0x0;
- for(int in=0; in<npoints; in++){
- node = &fTNodes[index[in]];
- if(fStatus&1){ // INT
- Float_t *bounds = GetBoundary(FindNode(node->fRefPoint));
- ipar = 0;
- for(int idim=0; idim<fNDim; idim++){
- fBuffer[ipar++] = .5*(bounds[2*idim] + bounds[2*idim+1]);
- fBuffer[ipar++] = (bounds[2*idim]*bounds[2*idim] + bounds[2*idim] * bounds[2*idim+1] + bounds[2*idim+1] * bounds[2*idim+1])/3.;
- for(int jdim=idim+1; jdim<fNDim; jdim++) fBuffer[ipar++] = (bounds[2*idim] + bounds[2*idim+1]) * (bounds[2*jdim] + bounds[2*jdim+1]) * .25;
- }
- } else { // COG
- Float_t *p = node->fRefPoint;
- ipar = 0;
- for(int idim=0; idim<fNDim; idim++){
- fBuffer[ipar++] = p[idim];
- for(int jdim=idim; jdim<fNDim; jdim++) fBuffer[ipar++] = p[idim]*p[jdim];
- }
- }
-
- // calculate tri-cubic weighting function
- if(fStatus&4){
- d = dist[in]/ dist[npoints];
- w0 = (1. - d*d*d); w = w0*w0*w0;
- } else w = 1.;
-
- //for(int idim=0; idim<fNDim; idim++) printf("%f ", fBuffer[idim]);
- //printf("\nd[%f] w[%f] sig[%f]\n", d, w, sig);
- fFitter->AddPoint(fBuffer, node->fRefValue, node->fRefValue*sig/w);
- }
- npoints += 4;
- } while(fFitter->Eval());
-
- // retrive fitter results
- TMatrixD cov(fLambda, fLambda);
- TVectorD par(fLambda);
- fFitter->GetCovarianceMatrix(cov);
- fFitter->GetParameters(par);
- Double_t chi2 = fFitter->GetChisquare()/(npoints - 4 - fLambda);
-
- // store results
- if(fStatus&2 && fStatus&1) fTNodes[node].Store(par, cov);
-
- // Build df/dpi|x values
- Double_t *fdfdp = &fBuffer[fLambda];
- ipar = 0;
- fdfdp[ipar++] = 1.;
- for(int idim=0; idim<fNDim; idim++){
- fdfdp[ipar++] = point[idim];
- for(int jdim=idim; jdim<fNDim; jdim++) fdfdp[ipar++] = point[idim]*point[jdim];
+ if(!fTNodes){
+ printf("W - TKDInterpolator::SetNode() : Node array not defined.\n");
+ return;
}
- // calculate estimation
- result =0.; error = 0.;
- for(int i=0; i<fLambda; i++){
- result += fdfdp[i]*par(i);
- for(int j=0; j<fLambda; j++) error += fdfdp[i]*fdfdp[j]*cov(i,j);
- }
- error = TMath::Sqrt(error);
-
- return chi2;
+ new((*fTNodes)[fNTNodes++]) TKDNodeInfo(node);
}
//_________________________________________________________________
-void TKDInterpolator::DrawNodes(UInt_t ax1, UInt_t ax2, Int_t depth)
+void TKDInterpolator::Build(Int_t npoints, Int_t ndim)
{
-// 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 = 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 kBorder = 0.;//1.E-4;
- TBox *nodeArray = 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 = &nodeArray[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+inode/*Int_t(gRandom->Uniform()*50.)*/);
- bounds = GetBoundary(inode);
- node->DrawBox(bounds[2*ax1]+kBorder, bounds[2*ax2]+kBorder, bounds[2*ax1+1]-kBorder, bounds[2*ax2+1]-kBorder);
- }
- if(depth != -1) return;
-
- // Draw reference points
- TGraph *ref = new TGraph(fNTNodes);
- ref->SetMarkerStyle(3);
- ref->SetMarkerSize(.7);
- ref->SetMarkerColor(2);
- for(int inode = 0; inode < fNTNodes; inode++) ref->SetPoint(inode, fTNodes[inode].fRefPoint[ax1], fTNodes[inode].fRefPoint[ax2]);
- ref->Draw("p");
- return;
+ fNSize = ndim;
+ TKDInterpolatorBase::Build(npoints);
}
//_________________________________________________________________
-void TKDInterpolator::DrawNode(Int_t tnode, UInt_t ax1, UInt_t ax2)
-{
-// 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 >= fNTNodes){
- Warning("DrawNode()", Form("Terminal node %d outside defined range.", tnode));
- return;
+Int_t TKDInterpolator::GetNodeIndex(const Float_t *p)
+{
+/* printf("TKDInterpolator::GetNodeIndex() ...\n");
+ printf("Looking for p[");
+ for(int i=0; i<fNSize; i++) printf("%f ", p[i]);
+ printf("] ...\n");*/
+ TKDNodeInfo *node;
+ for(int inode=0; inode<fNTNodes; inode++){
+ node = (TKDNodeInfo*)(*fTNodes)[inode];
+ //node->Print();
+ if(node->Has(p)) return inode;
}
-
- 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(fTNodes[inode].fRefPoint[ax1], fTNodes[inode].fRefPoint[ax2], 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);
-
- g->Draw("ap");
- m->Draw();
- n->Draw();
-
- return;
-}
-
-
-//__________________________________________________________________
-void TKDInterpolator::SetInterpolationMethod(const Bool_t on)
-{
-// Set interpolation bit to "on".
-
- if(on) fStatus += fStatus&1 ? 0 : 1;
- else fStatus += fStatus&1 ? -1 : 0;
+ return -1;
}
//_________________________________________________________________
-void TKDInterpolator::SetStore(const Bool_t on)
+Bool_t TKDInterpolator::SetNode(const Int_t inode, const TKDNodeInfo &ref)
{
-// Set store bit to "on"
-
- if(on) fStatus += fStatus&2 ? 0 : 2;
- else fStatus += fStatus&2 ? -2 : 0;
+ if(!fTNodes){
+ printf("W - TKDInterpolator::SetNode() : Node array not defined.\n");
+ return kFALSE;
+ }
+ if(inode >= fNTNodes){
+ printf("W - TKDInterpolator::SetNode() : Node array defined up to %d.\n", fNTNodes);
+ return kFALSE;
+ }
+ TKDNodeInfo *node = (TKDNodeInfo*)(*fTNodes)[inode];
+ (*node) = ref;
}
-//_________________________________________________________________
-void TKDInterpolator::SetWeights(const Bool_t on)
-{
-// Set weights bit to "on"
-
- if(on) fStatus += fStatus&4 ? 0 : 4;
- else fStatus += fStatus&4 ? -4 : 0;
-}
git://git.uio.no / u / mrichter / AliRoot.git / blobdiff