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Truncation of kt-kick at 4 sigma instead of fixed value.
[u/mrichter/AliRoot.git] / STAT / TKDInterpolator.cxx
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f2040a8f 1#include "TKDInterpolator.h"
2
3#include "TLinearFitter.h"
4#include "TVector.h"
5#include "TTree.h"
6#include "TH2.h"
7#include "TObjArray.h"
8#include "TObjString.h"
df84bc73 9#include "TPad.h"
f2040a8f 10#include "TBox.h"
11#include "TGraph.h"
12#include "TMarker.h"
df84bc73 13#include "TRandom.h"
14#include "TROOT.h"
f2040a8f 15
f2040a8f 16ClassImp(TKDInterpolator)
316a7f5a 17ClassImp(TKDInterpolator::TKDNodeInfo)
f2040a8f 18
19/////////////////////////////////////////////////////////////////////
20// Memory setup of protected data memebers
21// fRefPoints : evaluation point of PDF for each terminal node of underlying KD Tree.
22// | 1st terminal node (fNDim point coordinates) | 2nd terminal node (fNDim point coordinates) | ...
23//
24// fRefValues : evaluation value/error of PDF for each terminal node of underlying KD Tree.
25// | 1st terminal node (value) | 2nd terminal node (value) | ... | 1st terminal node (error) | 2nd terminal node (error) | ...
316a7f5a 26//
27// status = |0|0|0|0|0|1(tri-cubic weights)|1(STORE)|1 INT(0 COG )|
f2040a8f 28/////////////////////////////////////////////////////////////////////
29
30//_________________________________________________________________
31TKDInterpolator::TKDInterpolator() : TKDTreeIF()
32 ,fNTNodes(0)
33 ,fRefPoints(0x0)
34 ,fRefValues(0x0)
316a7f5a 35 ,fCov(0x0)
36 ,fPar(0x0)
37 ,fPDFstatus(0x0)
38 ,fStatus(4)
39 ,fLambda(0)
f2040a8f 40 ,fDepth(-1)
316a7f5a 41 ,fBuffer(0x0)
f2040a8f 42 ,fKDhelper(0x0)
43 ,fFitter(0x0)
44{
df84bc73 45// Default constructor. To be used with care since in this case building
46// of data structure is completly left to the user responsability.
f2040a8f 47}
48
49//_________________________________________________________________
50TKDInterpolator::TKDInterpolator(Int_t npoints, Int_t ndim, UInt_t bsize, Float_t **data) : TKDTreeIF(npoints, ndim, bsize, data)
51 ,fNTNodes(GetNTerminalNodes())
52 ,fRefPoints(0x0)
53 ,fRefValues(0x0)
316a7f5a 54 ,fCov(0x0)
55 ,fPar(0x0)
56 ,fPDFstatus(0x0)
57 ,fStatus(4)
58 ,fLambda(0)
f2040a8f 59 ,fDepth(-1)
316a7f5a 60 ,fBuffer(0x0)
f2040a8f 61 ,fKDhelper(0x0)
62 ,fFitter(0x0)
63{
df84bc73 64// Wrapper constructor for the similar TKDTree one.
65
f2040a8f 66 Build();
67}
68
69
70//_________________________________________________________________
316a7f5a 71TKDInterpolator::TKDInterpolator(TTree *t, const Char_t *var, const Char_t *cut, UInt_t bsize, Long64_t nentries, Long64_t firstentry) : TKDTreeIF()
f2040a8f 72 ,fNTNodes(0)
73 ,fRefPoints(0x0)
74 ,fRefValues(0x0)
316a7f5a 75 ,fCov(0x0)
76 ,fPar(0x0)
77 ,fPDFstatus(0x0)
78 ,fStatus(4)
79 ,fLambda(0)
f2040a8f 80 ,fDepth(-1)
316a7f5a 81 ,fBuffer(0x0)
f2040a8f 82 ,fKDhelper(0x0)
83 ,fFitter(0x0)
84{
85// Alocate data from a tree. The variables which have to be analysed are
86// defined in the "var" parameter as a colon separated list. The format should
87// be identical to that used by TTree::Draw().
88//
89//
90
f2040a8f 91 TObjArray *vars = TString(var).Tokenize(":");
316a7f5a 92 fNDim = vars->GetEntriesFast(); fNDimm = 2*fNDim;
df84bc73 93 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*/));
f2040a8f 94 fBucketSize = bsize;
95
df84bc73 96 Int_t np;
f2040a8f 97 Double_t *v;
98 for(int idim=0; idim<fNDim; idim++){
316a7f5a 99 if(!(np = t->Draw(((TObjString*)(*vars)[idim])->GetName(), cut, "goff", nentries, firstentry))){
100 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() ));
101 TIterator *it = (t->GetListOfLeaves())->MakeIterator();
102 TObject *o;
103 while(o = (*it)()) printf("\t%s\n", o->GetName());
f2040a8f 104 continue;
105 }
df84bc73 106 if(!fNpoints){
107 fNpoints = np;
108 Info("TKDInterpolator(TTree*, const Char_t, const Char_t, UInt_t)", Form("Allocating %d data points in %d dimensions.", fNpoints, fNDim));
df84bc73 109 fData = new Float_t*[fNDim];
316a7f5a 110 for(int idim=0; idim<fNDim; idim++) fData[idim] = new Float_t[fNpoints];
df84bc73 111 kDataOwner = kTRUE;
112 }
f2040a8f 113 v = t->GetV1();
114 for(int ip=0; ip<fNpoints; ip++) fData[idim][ip] = (Float_t)v[ip];
115 }
116 TKDTreeIF::Build();
117 fNTNodes = GetNTerminalNodes();
118 Build();
119}
120
121//_________________________________________________________________
122TKDInterpolator::~TKDInterpolator()
123{
316a7f5a 124 if(fCov){
125 delete [] fPar;
126 delete [] fCov;
127 delete [] fPDFstatus;
128 }
129
f2040a8f 130 if(fFitter) delete fFitter;
131 if(fKDhelper) delete fKDhelper;
316a7f5a 132 if(fBuffer) delete [] fBuffer;
f2040a8f 133
134 if(fRefPoints){
135 for(int idim=0; idim<fNDim; idim++) delete [] fRefPoints[idim] ;
136 delete [] fRefPoints;
137 }
138 if(fRefValues) delete [] fRefValues;
139}
140
141//_________________________________________________________________
142void TKDInterpolator::Build()
143{
df84bc73 144// Fill interpolator's data array i.e.
145// - estimation points
146// - corresponding PDF values
147
f2040a8f 148 if(!fBoundaries) MakeBoundaries();
316a7f5a 149 fLambda = 1 + fNDim + fNDim*(fNDim+1)/2;
150
f2040a8f 151 // allocate memory for data
152 fRefValues = new Float_t[fNTNodes];
153 fRefPoints = new Float_t*[fNDim];
154 for(int id=0; id<fNDim; id++){
155 fRefPoints[id] = new Float_t[fNTNodes];
156 for(int in=0; in<fNTNodes; in++) fRefPoints[id][in] = 0.;
157 }
158
159 Float_t *bounds = 0x0;
160 Int_t *indexPoints;
161 for(int inode=0, tnode = fNnodes; inode<fNTNodes-1; inode++, tnode++){
162 fRefValues[inode] = Float_t(fBucketSize)/fNpoints;
163 bounds = GetBoundary(tnode);
164 for(int idim=0; idim<fNDim; idim++) fRefValues[inode] /= (bounds[2*idim+1] - bounds[2*idim]);
165
166 indexPoints = GetPointsIndexes(tnode);
167 // loop points in this terminal node
168 for(int idim=0; idim<fNDim; idim++){
169 for(int ip = 0; ip<fBucketSize; ip++) fRefPoints[idim][inode] += fData[idim][indexPoints[ip]];
170 fRefPoints[idim][inode] /= fBucketSize;
171 }
172 }
173
174 // analyze last (incomplete) terminal node
175 Int_t counts = fNpoints%fBucketSize;
176 counts = counts ? counts : fBucketSize;
177 Int_t inode = fNTNodes - 1, tnode = inode + fNnodes;
178 fRefValues[inode] = Float_t(counts)/fNpoints;
179 bounds = GetBoundary(tnode);
180 for(int idim=0; idim<fNDim; idim++) fRefValues[inode] /= (bounds[2*idim+1] - bounds[2*idim]);
181
182 indexPoints = GetPointsIndexes(tnode);
183 // loop points in this terminal node
184 for(int idim=0; idim<fNDim; idim++){
185 for(int ip = 0; ip<counts; ip++) fRefPoints[idim][inode] += fData[idim][indexPoints[ip]];
186 fRefPoints[idim][inode] /= counts;
187 }
188}
189
316a7f5a 190//__________________________________________________________________
191void TKDInterpolator::GetStatus()
192{
193 printf("Interpolator Status :\n");
194 printf(" Method : %s\n", fStatus&1 ? "INT" : "COG");
195 printf(" Store : %s\n", fStatus&2 ? "YES" : "NO");
196 printf(" Weights: %s\n", fStatus&4 ? "YES" : "NO");
197
198 printf("nodes %d\n", fNTNodes); //Number of evaluation data points
199 printf("refs 0x%x\n", fRefPoints); //[fNDim][fNTNodes]
200 printf("vals 0x%x\n", fRefValues); //[fNTNodes]
201 for(int i=0; i<fNTNodes; i++){
202 for(int idim=0; idim<fNDim; idim++) printf("%f ", fRefPoints[idim][i]);
203 printf("[%f]\n", fRefValues[i]);
204 }
205
206 printf("cov 0x%x\n", fCov); //[fNTNodes] cov matrix array for nodes
207 printf("pars 0x%x\n", fPar); //[fNTNodes] parameters array for nodes
208 for(int i=0; i<fNTNodes; i++){
209 printf("%d ", i);
210 for(int ip=0; ip<3; ip++) printf("p%d[%f] ", ip, fPar[i](ip));
211 printf("\n");
212 }
213 printf("pdf 0x%x\n", fPDFstatus); //[fNTNodes] status bit for node's PDF
214}
215
f2040a8f 216//_________________________________________________________________
316a7f5a 217Double_t TKDInterpolator::Eval(const Double_t *point, Double_t &result, Double_t &error)
f2040a8f 218{
316a7f5a 219// Evaluate PDF for "point". The result is returned in "result" and error in "error". The function returns the chi2 of the fit.
220//
221// Observations:
222//
223// 1. The default method used for interpolation is kCOG.
224// 2. The initial number of neighbors used for the estimation is set to Int(alpha*fLambda) (alpha = 1.5)
225
226 Float_t pointF[50]; // local Float_t conversion for "point"
227 for(int idim=0; idim<fNDim; idim++) pointF[idim] = (Float_t)point[idim];
228 Int_t node = FindNode(pointF) - fNnodes;
229 if(fPDFstatus && (fStatus&1) && fPDFstatus[node]) return CookPDF(point, node, result, error);
230
231 // Allocate memory
232 if(!fBuffer) fBuffer = new Double_t[2*fLambda];
233 if(!fKDhelper) fKDhelper = new TKDTreeIF(fNTNodes, fNDim, 30, fRefPoints);
234 if(!fFitter) SetIntInterpolation(kFALSE);
df84bc73 235
316a7f5a 236 // generate parabolic for nD
237 //Float_t alpha = Float_t(2*lambda + 1) / fNTNodes; // the bandwidth or smoothing parameter
df84bc73 238 //Int_t npoints = Int_t(alpha * fNTNodes);
239 //printf("Params : %d NPoints %d\n", lambda, npoints);
f2040a8f 240 // prepare workers
df84bc73 241
316a7f5a 242 Int_t *index, // indexes of NN
243 ipar, // local looping variable
244 npoints = Int_t(1.5*fLambda); // number of data points used for interpolation
245 Float_t *dist, // distances of NN
246 d, // NN normalized distance
247 w0, // work
248 w; // tri-cubic weight function
249 Double_t sig // bucket error
250 = TMath::Sqrt(1./fBucketSize);
f2040a8f 251 do{
316a7f5a 252 // find nearest neighbors
253 for(int idim=0; idim<fNDim; idim++) pointF[idim] = (Float_t)point[idim];
df84bc73 254 if(!fKDhelper->FindNearestNeighbors(pointF, npoints+1, index, dist)){
255 Error("Eval()", Form("Failed retriving %d neighbours for point:", npoints));
f2040a8f 256 for(int idim=0; idim<fNDim; idim++) printf("%f ", point[idim]);
257 printf("\n");
258 return -1;
259 }
316a7f5a 260 // add points to fitter
261 fFitter->ClearPoints();
262 for(int in=0; in<npoints; in++){
263 if(fStatus&1){ // INT
264 for(int idim=0; idim<fNDim; idim++) pointF[idim] = fRefPoints[idim][index[in]];
265 Float_t *bounds = GetBoundary(FindNode(pointF));
266
267 ipar = 0;
268 for(int idim=0; idim<fNDim; idim++){
269 fBuffer[ipar++] = .5*(bounds[2*idim] + bounds[2*idim+1]);
270 fBuffer[ipar++] = (bounds[2*idim]*bounds[2*idim] + bounds[2*idim] * bounds[2*idim+1] + bounds[2*idim+1] * bounds[2*idim+1])/3.;
271 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;
272 }
273 } else { // COG
274 for(int idim=0; idim<fNDim; idim++) fBuffer[idim] = fRefPoints[idim][index[in]];
df84bc73 275 }
df84bc73 276
316a7f5a 277 // calculate tri-cubic weighting function
278 if(fStatus&4){
279 d = dist[in]/ dist[npoints];
280 w0 = (1. - d*d*d); w = w0*w0*w0;
281 } else w = 1.;
282
283 //for(int idim=0; idim<fNDim; idim++) printf("%f ", fBuffer[idim]);
284 //printf("\nd[%f] w[%f] sig[%f]\n", d, w, sig);
285 fFitter->AddPoint(fBuffer, fRefValues[index[in]], fRefValues[index[in]]*sig/w);
f2040a8f 286 }
df84bc73 287 npoints += 4;
f2040a8f 288 } while(fFitter->Eval());
289
316a7f5a 290 // retrive fitter results
291 TMatrixD cov(fLambda, fLambda);
292 TVectorD par(fLambda);
293 fFitter->GetCovarianceMatrix(cov);
294 fFitter->GetParameters(par);
295 Double_t chi2 = fFitter->GetChisquare()/(npoints - 4 - fLambda);
296
297 // store results
298 if(fStatus&2 && fStatus&1){
299 fPar[node] = par;
300 fCov[node] = cov;
301 fPDFstatus[node] = 1;
302 }
303
304 // Build df/dpi|x values
305 Double_t *fdfdp = &fBuffer[fLambda];
306 ipar = 0;
307 fdfdp[ipar++] = 1.;
f2040a8f 308 for(int idim=0; idim<fNDim; idim++){
316a7f5a 309 fdfdp[ipar++] = point[idim];
310 for(int jdim=idim; jdim<fNDim; jdim++) fdfdp[ipar++] = point[idim]*point[jdim];
f2040a8f 311 }
316a7f5a 312
313 // calculate estimation
314 result =0.; error = 0.;
315 for(int i=0; i<fLambda; i++){
316 result += fdfdp[i]*par(i);
317 for(int j=0; j<fLambda; j++) error += fdfdp[i]*fdfdp[j]*cov(i,j);
318 }
319 error = TMath::Sqrt(error);
320
321 return chi2;
f2040a8f 322}
323
316a7f5a 324// //_________________________________________________________________
325// Double_t TKDInterpolator::Eval1(const Double_t *point, Int_t npoints, Double_t &result, Double_t &error)
326// {
327// // Evaluate PDF at k-dimensional position "point". The initial number of
328// // neighbour estimation points is set to "npoints". The default method
329// // used for interpolation is kCOG.
330//
331// // calculate number of parameters in the parabolic expresion
332// Int_t lambda = 1 + fNDim + fNDim*(fNDim+1)/2;
333//
334// if(!fBuffer) fBuffer = new Double_t[lambda-1];
335// if(!fKDhelper) fKDhelper = new TKDTreeIF(GetNTerminalNodes(), fNDim, npoints, fRefPoints);
336//
337// if(!fFitter) fFitter = new TLinearFitter(lambda, Form("hyp%d", fNDim+1));
338// else fFitter->SetFormula(Form("hyp%d", fNDim+1));
339//
340//
341// Float_t pointF[50];
342// for(int idim=0; idim<fNDim; idim++) pointF[idim] = point[idim];
343// Int_t istart = 0;
344// Int_t *index, ipar;
345// Float_t *bounds, *dist, *w = new Float_t[fNDim];
346// Double_t uncertainty = TMath::Sqrt(1./fBucketSize);
347// fFitter->ClearPoints();
348// do{
349// if(!fKDhelper->FindNearestNeighbors(pointF, npoints+1, index, dist)){
350// Error("Eval()", Form("Failed retriving %d neighbours for point:", npoints));
351// for(int idim=0; idim<fNDim; idim++) printf("%f ", point[idim]);
352// printf("\n");
353// return -1;
354// }
355// for(int in=istart; in<npoints; in++){
356// for(int idim=0; idim<fNDim; idim++) w[idim] = fRefPoints[idim][index[in]];
357// bounds = GetBoundary(FindNode(w));
358//
359// ipar = 0;
360// for(int idim=0; idim<fNDim; idim++){
361// fBuffer[ipar++] = .5*(bounds[2*idim] + bounds[2*idim+1]);
362// fBuffer[ipar++] = (bounds[2*idim]*bounds[2*idim] + bounds[2*idim] * bounds[2*idim+1] + bounds[2*idim+1] * bounds[2*idim+1])/3.;
363// 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;
364// }
365//
366// fFitter->AddPoint(fBuffer, fRefValues[index[in]], fRefValues[index[in]]*uncertainty);
367// }
368// istart = npoints;
369// npoints += 4;
370// } while(fFitter->Eval());
371// delete [] w;
372//
373// // calculate evaluation
374// // fFitter->PrintResults(3);
375// TMatrixD cov(lambda, lambda);
376// TVectorD par(lambda);
377// fFitter->GetCovarianceMatrix(cov);
378// fFitter->GetParameters(par);
379//
380// // Build temporary array to keep values df/dpi|x
381// Double_t f[100];
382// ipar = 0;
383// f[ipar++] = 1.;
384// for(int idim=0; idim<fNDim; idim++){
385// f[ipar++] = point[idim];
386// for(int jdim=idim; jdim<fNDim; jdim++) f[ipar++] = point[idim]*point[jdim];
387// }
388// result =0.; error = 0.;
389// for(int i=0; i<lambda; i++){
390// result += f[i]*par[i];
391// for(int j=0; j<lambda; j++) error += f[i]*f[j]*cov(i,j);
392// }
393// error = TMath::Sqrt(error);
394// Double_t chi2 = fFitter->GetChisquare()/(npoints - 4 - lambda);
395//
396// for(int ipar=0; ipar<lambda; ipar++) printf("%d %8.6e %8.6e\n", ipar, par[ipar], TMath::Sqrt(cov(ipar, ipar)));
397// printf("result %6.3f +- %6.3f [%f]\n", result, error, chi2);
398// return chi2;
399// }
400
f2040a8f 401
402//_________________________________________________________________
df84bc73 403void TKDInterpolator::DrawNodes(UInt_t ax1, UInt_t ax2, Int_t depth)
f2040a8f 404{
405// Draw nodes structure projected on plane "ax1:ax2". The parameter
406// "depth" specifies the bucket size per node. If depth == -1 draw only
407// terminal nodes and evaluation points (default -1 i.e. bucket size per node equal bucket size specified by the user)
df84bc73 408//
409// Observation:
410// This function creates the nodes (TBox) array for the specified depth
411// but don't delete it. Abusing this function may cause memory leaks !
412
f2040a8f 413
414 if(!fBoundaries) MakeBoundaries();
415
416 // Count nodes in specific view
417 Int_t nnodes = 0;
418 for(int inode = 0; inode <= 2*fNnodes; inode++){
419 if(depth == -1){
420 if(!IsTerminal(inode)) continue;
421 } else if((inode+1) >> depth != 1) continue;
422 nnodes++;
423 }
424
425 //printf("depth %d nodes %d\n", depth, nnodes);
426
df84bc73 427 TH2 *h2 = 0x0;
428 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]);
429 h2->GetXaxis()->SetTitle(Form("x_{%d}", ax1));
430 h2->GetYaxis()->SetTitle(Form("x_{%d}", ax2));
f2040a8f 431 h2->Draw();
432
433 const Float_t border = 0.;//1.E-4;
df84bc73 434 TBox *node_array = new TBox[nnodes], *node;
f2040a8f 435 Float_t *bounds = 0x0;
436 nnodes = 0;
437 for(int inode = 0; inode <= 2*fNnodes; inode++){
438 if(depth == -1){
439 if(!IsTerminal(inode)) continue;
440 } else if((inode+1) >> depth != 1) continue;
441
df84bc73 442 node = &node_array[nnodes++];
443 //node = new TBox(bounds[2*ax1]+border, bounds[2*ax2]+border, bounds[2*ax1+1]-border, bounds[2*ax2+1]-border);
444 node->SetFillStyle(3002);
445 node->SetFillColor(50+Int_t(gRandom->Uniform()*50.));
f2040a8f 446 bounds = GetBoundary(inode);
df84bc73 447 node->DrawBox(bounds[2*ax1]+border, bounds[2*ax2]+border, bounds[2*ax1+1]-border, bounds[2*ax2+1]-border);
f2040a8f 448 }
449 if(depth != -1) return;
450
451 // Draw reference points
452 TGraph *ref = new TGraph(GetNTerminalNodes());
df84bc73 453 ref->SetMarkerStyle(3);
454 ref->SetMarkerSize(.7);
f2040a8f 455 ref->SetMarkerColor(2);
f2040a8f 456 for(int inode = 0; inode < GetNTerminalNodes(); inode++) ref->SetPoint(inode, fRefPoints[ax1][inode], fRefPoints[ax2][inode]);
457 ref->Draw("p");
458 return;
459}
460
461//_________________________________________________________________
df84bc73 462void TKDInterpolator::DrawNode(Int_t tnode, UInt_t ax1, UInt_t ax2)
f2040a8f 463{
464// Draw node "node" and the data points within.
df84bc73 465//
466// Observation:
467// This function creates some graphical objects
468// but don't delete it. Abusing this function may cause memory leaks !
f2040a8f 469
470 if(tnode < 0 || tnode >= GetNTerminalNodes()){
471 Warning("DrawNode()", Form("Terminal node %d outside defined range.", tnode));
472 return;
473 }
474
f2040a8f 475 Int_t inode = tnode;
476 tnode += fNnodes;
477 // select zone of interest in the indexes array
478 Int_t *index = GetPointsIndexes(tnode);
479 Int_t nPoints = (tnode == 2*fNnodes) ? fNpoints%fBucketSize : fBucketSize;
480
f2040a8f 481 // draw data points
482 TGraph *g = new TGraph(nPoints);
df84bc73 483 g->SetMarkerStyle(7);
f2040a8f 484 for(int ip = 0; ip<nPoints; ip++) g->SetPoint(ip, fData[ax1][index[ip]], fData[ax2][index[ip]]);
f2040a8f 485
486 // draw estimation point
df84bc73 487 TMarker *m=new TMarker(fRefPoints[ax1][inode], fRefPoints[ax2][inode], 20);
f2040a8f 488 m->SetMarkerColor(2);
df84bc73 489 m->SetMarkerSize(1.7);
f2040a8f 490
491 // draw node contour
492 Float_t *bounds = GetBoundary(tnode);
493 TBox *n = new TBox(bounds[2*ax1], bounds[2*ax2], bounds[2*ax1+1], bounds[2*ax2+1]);
494 n->SetFillStyle(0);
df84bc73 495
496 if(gPad) gPad->Clear();
497 g->Draw("ap");
498 m->Draw();
f2040a8f 499 n->Draw();
500
501 return;
502}
503
316a7f5a 504
505//__________________________________________________________________
506void TKDInterpolator::SetIntInterpolation(const Bool_t on)
507{
508// Set interpolation bit to "on" and build/delete memory
509
510 if(on) fStatus += fStatus&1 ? 0 : 1;
511 else fStatus += fStatus&1 ? -1 : 0;
512 TString formula;
513 if(on) formula = Form("hyp%d", fLambda-1);
514 else {
515 formula = "1";
516 for(int idim=0; idim<fNDim; idim++){
517 formula += Form("++x[%d]", idim);
518 for(int jdim=idim; jdim<fNDim; jdim++) formula += Form("++x[%d]*x[%d]", idim, jdim);
519 }
520 }
521 if(!fFitter) fFitter = new TLinearFitter(fLambda, formula.Data());
522 else fFitter->SetFormula(formula.Data());
523}
524
525
526//_________________________________________________________________
527void TKDInterpolator::SetSetStore(const Bool_t on)
528{
529// Set store bit to "on" and build/delete memory
530
531 if(on){
532 fStatus += fStatus&2 ? 0 : 2;
533 if(!fCov){
534 fPDFstatus = new Bool_t[fNTNodes];
535 fCov = new TMatrixD[fNTNodes];
536 fPar = new TVectorD[fNTNodes];
537 for(int i=0; i<fNTNodes; i++){
538 fPDFstatus[i] = kFALSE;
539 fCov[i].ResizeTo(fLambda, fLambda);
540 fPar[i].ResizeTo(fLambda);
541 }
542 }
543 } else {
544 fStatus += fStatus&2 ? -2 : 0;
545 if(fCov){
546 delete [] fPar;
547 delete [] fCov;
548 delete [] fPDFstatus;
549 }
550 }
551}
552
553//_________________________________________________________________
554void TKDInterpolator::SetUseWeights(const Bool_t on)
555{
556 if(on) fStatus += fStatus&4 ? 0 : 4;
557 else fStatus += fStatus&4 ? -4 : 0;
558}
559
560
561//_________________________________________________________________
562Double_t TKDInterpolator::CookPDF(const Double_t *point, const Int_t node, Double_t &result, Double_t &error)
563{
564// Recalculate the PDF for one node from the results of interpolation (parameters and covariance matrix)
565
566 Info("CookPDF()", Form("Called for node %d", node));
567
568 if(!fBuffer) fBuffer = new Double_t[2*fLambda];
569 Double_t *fdfdp = &fBuffer[fLambda];
570 Int_t ipar = 0;
571 fdfdp[ipar++] = 1.;
572 for(int idim=0; idim<fNDim; idim++){
573 fdfdp[ipar++] = point[idim];
574 for(int jdim=idim; jdim<fNDim; jdim++) fdfdp[ipar++] = point[idim]*point[jdim];
575 }
576
577 // calculate estimation
578 result =0.; error = 0.;
579 for(int i=0; i<fLambda; i++){
580 result += fdfdp[i]*fPar[node](i);
581 for(int j=0; j<fLambda; j++) error += fdfdp[i]*fdfdp[j]*fCov[node](i,j);
582 }
583 error = TMath::Sqrt(error);
584 printf("result[CookPDF] %6.3f +- %6.3f\n", result, error);
585
586 return 0.;
587}
588