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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 | 16 | ClassImp(TKDInterpolator) |
316a7f5a | 17 | ClassImp(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 | ||
5f38a39d | 30 | //_________________________________________________________________ |
31 | TKDInterpolator::TKDNodeInfo::TKDNodeInfo(const Int_t dim): | |
32 | fNDim(dim) | |
33 | ,fRefPoint(0x0) | |
34 | ,fRefValue(0.) | |
35 | ,fCov() | |
36 | ,fPar() | |
37 | ,fPDFstatus(kFALSE) | |
38 | { | |
39 | if(fNDim) Build(dim); | |
40 | } | |
41 | ||
42 | //_________________________________________________________________ | |
43 | TKDInterpolator::TKDNodeInfo::~TKDNodeInfo() | |
44 | { | |
45 | if(fRefPoint) delete [] fRefPoint; | |
46 | } | |
47 | ||
48 | //_________________________________________________________________ | |
49 | void TKDInterpolator::TKDNodeInfo::Build(const Int_t dim) | |
50 | { | |
51 | if(!dim) return; | |
52 | ||
53 | fNDim = dim; | |
54 | Int_t lambda = Int_t(1 + fNDim + .5*fNDim*(fNDim+1)); | |
55 | if(fRefPoint) delete [] fRefPoint; | |
56 | fRefPoint = new Float_t[fNDim]; | |
57 | fCov.ResizeTo(lambda, lambda); | |
58 | fPar.ResizeTo(lambda); | |
59 | return; | |
60 | } | |
61 | ||
62 | ||
f2040a8f | 63 | //_________________________________________________________________ |
64 | TKDInterpolator::TKDInterpolator() : TKDTreeIF() | |
65 | ,fNTNodes(0) | |
5f38a39d | 66 | ,fTNodes(0x0) |
316a7f5a | 67 | ,fStatus(4) |
68 | ,fLambda(0) | |
f2040a8f | 69 | ,fDepth(-1) |
5f38a39d | 70 | ,fRefPoints(0x0) |
316a7f5a | 71 | ,fBuffer(0x0) |
f2040a8f | 72 | ,fKDhelper(0x0) |
73 | ,fFitter(0x0) | |
74 | { | |
df84bc73 | 75 | // Default constructor. To be used with care since in this case building |
76 | // of data structure is completly left to the user responsability. | |
f2040a8f | 77 | } |
78 | ||
79 | //_________________________________________________________________ | |
80 | TKDInterpolator::TKDInterpolator(Int_t npoints, Int_t ndim, UInt_t bsize, Float_t **data) : TKDTreeIF(npoints, ndim, bsize, data) | |
81 | ,fNTNodes(GetNTerminalNodes()) | |
5f38a39d | 82 | ,fTNodes(0x0) |
316a7f5a | 83 | ,fStatus(4) |
84 | ,fLambda(0) | |
f2040a8f | 85 | ,fDepth(-1) |
5f38a39d | 86 | ,fRefPoints(0x0) |
316a7f5a | 87 | ,fBuffer(0x0) |
f2040a8f | 88 | ,fKDhelper(0x0) |
89 | ,fFitter(0x0) | |
90 | { | |
df84bc73 | 91 | // Wrapper constructor for the similar TKDTree one. |
92 | ||
f2040a8f | 93 | Build(); |
94 | } | |
95 | ||
96 | ||
97 | //_________________________________________________________________ | |
316a7f5a | 98 | TKDInterpolator::TKDInterpolator(TTree *t, const Char_t *var, const Char_t *cut, UInt_t bsize, Long64_t nentries, Long64_t firstentry) : TKDTreeIF() |
f2040a8f | 99 | ,fNTNodes(0) |
5f38a39d | 100 | ,fTNodes(0x0) |
316a7f5a | 101 | ,fStatus(4) |
102 | ,fLambda(0) | |
f2040a8f | 103 | ,fDepth(-1) |
5f38a39d | 104 | ,fRefPoints(0x0) |
316a7f5a | 105 | ,fBuffer(0x0) |
f2040a8f | 106 | ,fKDhelper(0x0) |
107 | ,fFitter(0x0) | |
108 | { | |
109 | // Alocate data from a tree. The variables which have to be analysed are | |
110 | // defined in the "var" parameter as a colon separated list. The format should | |
111 | // be identical to that used by TTree::Draw(). | |
112 | // | |
113 | // | |
114 | ||
f2040a8f | 115 | TObjArray *vars = TString(var).Tokenize(":"); |
316a7f5a | 116 | fNDim = vars->GetEntriesFast(); fNDimm = 2*fNDim; |
df84bc73 | 117 | 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 | 118 | fBucketSize = bsize; |
119 | ||
df84bc73 | 120 | Int_t np; |
f2040a8f | 121 | Double_t *v; |
122 | for(int idim=0; idim<fNDim; idim++){ | |
316a7f5a | 123 | if(!(np = t->Draw(((TObjString*)(*vars)[idim])->GetName(), cut, "goff", nentries, firstentry))){ |
124 | 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() )); | |
125 | TIterator *it = (t->GetListOfLeaves())->MakeIterator(); | |
126 | TObject *o; | |
127 | while(o = (*it)()) printf("\t%s\n", o->GetName()); | |
f2040a8f | 128 | continue; |
129 | } | |
df84bc73 | 130 | if(!fNpoints){ |
131 | fNpoints = np; | |
132 | Info("TKDInterpolator(TTree*, const Char_t, const Char_t, UInt_t)", Form("Allocating %d data points in %d dimensions.", fNpoints, fNDim)); | |
df84bc73 | 133 | fData = new Float_t*[fNDim]; |
316a7f5a | 134 | for(int idim=0; idim<fNDim; idim++) fData[idim] = new Float_t[fNpoints]; |
df84bc73 | 135 | kDataOwner = kTRUE; |
136 | } | |
f2040a8f | 137 | v = t->GetV1(); |
138 | for(int ip=0; ip<fNpoints; ip++) fData[idim][ip] = (Float_t)v[ip]; | |
139 | } | |
140 | TKDTreeIF::Build(); | |
141 | fNTNodes = GetNTerminalNodes(); | |
142 | Build(); | |
143 | } | |
144 | ||
145 | //_________________________________________________________________ | |
146 | TKDInterpolator::~TKDInterpolator() | |
147 | { | |
148 | if(fFitter) delete fFitter; | |
149 | if(fKDhelper) delete fKDhelper; | |
316a7f5a | 150 | if(fBuffer) delete [] fBuffer; |
f2040a8f | 151 | |
152 | if(fRefPoints){ | |
153 | for(int idim=0; idim<fNDim; idim++) delete [] fRefPoints[idim] ; | |
154 | delete [] fRefPoints; | |
155 | } | |
5f38a39d | 156 | if(fTNodes) delete [] fTNodes; |
f2040a8f | 157 | } |
158 | ||
159 | //_________________________________________________________________ | |
160 | void TKDInterpolator::Build() | |
161 | { | |
df84bc73 | 162 | // Fill interpolator's data array i.e. |
163 | // - estimation points | |
164 | // - corresponding PDF values | |
165 | ||
f2040a8f | 166 | if(!fBoundaries) MakeBoundaries(); |
316a7f5a | 167 | fLambda = 1 + fNDim + fNDim*(fNDim+1)/2; |
168 | ||
f2040a8f | 169 | // allocate memory for data |
5f38a39d | 170 | fTNodes = new TKDNodeInfo[fNTNodes]; |
171 | for(int in=0; in<fNTNodes; in++) fTNodes[in].Build(fNDim); | |
f2040a8f | 172 | |
173 | Float_t *bounds = 0x0; | |
174 | Int_t *indexPoints; | |
175 | for(int inode=0, tnode = fNnodes; inode<fNTNodes-1; inode++, tnode++){ | |
5f38a39d | 176 | fTNodes[inode].fRefValue = Float_t(fBucketSize)/fNpoints; |
f2040a8f | 177 | bounds = GetBoundary(tnode); |
5f38a39d | 178 | for(int idim=0; idim<fNDim; idim++) fTNodes[inode].fRefValue /= (bounds[2*idim+1] - bounds[2*idim]); |
f2040a8f | 179 | |
180 | indexPoints = GetPointsIndexes(tnode); | |
181 | // loop points in this terminal node | |
182 | for(int idim=0; idim<fNDim; idim++){ | |
5f38a39d | 183 | for(int ip = 0; ip<fBucketSize; ip++) fTNodes[inode].fRefPoint[idim] += fData[idim][indexPoints[ip]]; |
184 | fTNodes[inode].fRefPoint[idim] /= fBucketSize; | |
f2040a8f | 185 | } |
186 | } | |
187 | ||
188 | // analyze last (incomplete) terminal node | |
189 | Int_t counts = fNpoints%fBucketSize; | |
190 | counts = counts ? counts : fBucketSize; | |
191 | Int_t inode = fNTNodes - 1, tnode = inode + fNnodes; | |
5f38a39d | 192 | fTNodes[inode].fRefValue = Float_t(counts)/fNpoints; |
f2040a8f | 193 | bounds = GetBoundary(tnode); |
5f38a39d | 194 | for(int idim=0; idim<fNDim; idim++) fTNodes[inode].fRefValue /= (bounds[2*idim+1] - bounds[2*idim]); |
f2040a8f | 195 | |
196 | indexPoints = GetPointsIndexes(tnode); | |
197 | // loop points in this terminal node | |
198 | for(int idim=0; idim<fNDim; idim++){ | |
5f38a39d | 199 | for(int ip = 0; ip<counts; ip++) fTNodes[inode].fRefPoint[idim] += fData[idim][indexPoints[ip]]; |
200 | fTNodes[inode].fRefPoint[idim] /= counts; | |
f2040a8f | 201 | } |
5f38a39d | 202 | |
203 | //GetStatus(); | |
f2040a8f | 204 | } |
205 | ||
316a7f5a | 206 | //__________________________________________________________________ |
207 | void TKDInterpolator::GetStatus() | |
208 | { | |
209 | printf("Interpolator Status :\n"); | |
210 | printf(" Method : %s\n", fStatus&1 ? "INT" : "COG"); | |
211 | printf(" Store : %s\n", fStatus&2 ? "YES" : "NO"); | |
212 | printf(" Weights: %s\n", fStatus&4 ? "YES" : "NO"); | |
213 | ||
5f38a39d | 214 | printf("nnodes %d\n", fNTNodes); //Number of evaluation data points |
215 | printf("nodes 0x%x\n", fTNodes); //[fNTNodes] | |
316a7f5a | 216 | for(int i=0; i<fNTNodes; i++){ |
5f38a39d | 217 | printf("\t%d ", i); |
218 | for(int idim=0; idim<fNDim; idim++) printf("%f ", fTNodes[i].fRefPoint[idim]); | |
219 | printf("[%f] %s\n", fTNodes[i].fRefValue, fTNodes[i].fPDFstatus ? "true" : "false"); | |
220 | for(int ip=0; ip<3; ip++) printf("p%d[%f] ", ip, fTNodes[i].fPar(ip)); | |
316a7f5a | 221 | printf("\n"); |
222 | } | |
316a7f5a | 223 | } |
224 | ||
f2040a8f | 225 | //_________________________________________________________________ |
316a7f5a | 226 | Double_t TKDInterpolator::Eval(const Double_t *point, Double_t &result, Double_t &error) |
f2040a8f | 227 | { |
316a7f5a | 228 | // Evaluate PDF for "point". The result is returned in "result" and error in "error". The function returns the chi2 of the fit. |
229 | // | |
230 | // Observations: | |
231 | // | |
232 | // 1. The default method used for interpolation is kCOG. | |
233 | // 2. The initial number of neighbors used for the estimation is set to Int(alpha*fLambda) (alpha = 1.5) | |
234 | ||
235 | Float_t pointF[50]; // local Float_t conversion for "point" | |
236 | for(int idim=0; idim<fNDim; idim++) pointF[idim] = (Float_t)point[idim]; | |
237 | Int_t node = FindNode(pointF) - fNnodes; | |
5f38a39d | 238 | if((fStatus&1) && fTNodes[node].fPDFstatus) return CookPDF(point, node, result, error); // maybe move to TKDNodeInfo |
316a7f5a | 239 | |
240 | // Allocate memory | |
241 | if(!fBuffer) fBuffer = new Double_t[2*fLambda]; | |
5f38a39d | 242 | if(!fKDhelper){ |
243 | fRefPoints = new Float_t*[fNDim]; | |
244 | for(int id=0; id<fNDim; id++){ | |
245 | fRefPoints[id] = new Float_t[fNTNodes]; | |
246 | for(int in=0; in<fNTNodes; in++) fRefPoints[id][in] = fTNodes[in].fRefPoint[id]; | |
247 | } | |
248 | fKDhelper = new TKDTreeIF(fNTNodes, fNDim, 30, fRefPoints); | |
249 | } | |
316a7f5a | 250 | if(!fFitter) SetIntInterpolation(kFALSE); |
df84bc73 | 251 | |
316a7f5a | 252 | // generate parabolic for nD |
253 | //Float_t alpha = Float_t(2*lambda + 1) / fNTNodes; // the bandwidth or smoothing parameter | |
df84bc73 | 254 | //Int_t npoints = Int_t(alpha * fNTNodes); |
255 | //printf("Params : %d NPoints %d\n", lambda, npoints); | |
f2040a8f | 256 | // prepare workers |
df84bc73 | 257 | |
316a7f5a | 258 | Int_t *index, // indexes of NN |
259 | ipar, // local looping variable | |
260 | npoints = Int_t(1.5*fLambda); // number of data points used for interpolation | |
261 | Float_t *dist, // distances of NN | |
262 | d, // NN normalized distance | |
263 | w0, // work | |
264 | w; // tri-cubic weight function | |
265 | Double_t sig // bucket error | |
266 | = TMath::Sqrt(1./fBucketSize); | |
f2040a8f | 267 | do{ |
316a7f5a | 268 | // find nearest neighbors |
269 | for(int idim=0; idim<fNDim; idim++) pointF[idim] = (Float_t)point[idim]; | |
df84bc73 | 270 | if(!fKDhelper->FindNearestNeighbors(pointF, npoints+1, index, dist)){ |
271 | Error("Eval()", Form("Failed retriving %d neighbours for point:", npoints)); | |
f2040a8f | 272 | for(int idim=0; idim<fNDim; idim++) printf("%f ", point[idim]); |
273 | printf("\n"); | |
274 | return -1; | |
275 | } | |
316a7f5a | 276 | // add points to fitter |
277 | fFitter->ClearPoints(); | |
278 | for(int in=0; in<npoints; in++){ | |
279 | if(fStatus&1){ // INT | |
5f38a39d | 280 | //for(int idim=0; idim<fNDim; idim++) pointF[idim] = fRefPoints[idim][index[in]]; |
281 | Float_t *bounds = GetBoundary(FindNode(fTNodes[index[in]].fRefPoint/*pointF*/)); | |
316a7f5a | 282 | |
283 | ipar = 0; | |
284 | for(int idim=0; idim<fNDim; idim++){ | |
285 | fBuffer[ipar++] = .5*(bounds[2*idim] + bounds[2*idim+1]); | |
286 | fBuffer[ipar++] = (bounds[2*idim]*bounds[2*idim] + bounds[2*idim] * bounds[2*idim+1] + bounds[2*idim+1] * bounds[2*idim+1])/3.; | |
287 | 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; | |
288 | } | |
289 | } else { // COG | |
5f38a39d | 290 | for(int idim=0; idim<fNDim; idim++) fBuffer[idim] = fTNodes[index[in]].fRefPoint[idim]; |
df84bc73 | 291 | } |
df84bc73 | 292 | |
316a7f5a | 293 | // calculate tri-cubic weighting function |
294 | if(fStatus&4){ | |
295 | d = dist[in]/ dist[npoints]; | |
296 | w0 = (1. - d*d*d); w = w0*w0*w0; | |
297 | } else w = 1.; | |
298 | ||
299 | //for(int idim=0; idim<fNDim; idim++) printf("%f ", fBuffer[idim]); | |
300 | //printf("\nd[%f] w[%f] sig[%f]\n", d, w, sig); | |
5f38a39d | 301 | fFitter->AddPoint(fBuffer, fTNodes[index[in]].fRefValue, fTNodes[index[in]].fRefValue*sig/w); |
f2040a8f | 302 | } |
df84bc73 | 303 | npoints += 4; |
f2040a8f | 304 | } while(fFitter->Eval()); |
305 | ||
316a7f5a | 306 | // retrive fitter results |
307 | TMatrixD cov(fLambda, fLambda); | |
308 | TVectorD par(fLambda); | |
309 | fFitter->GetCovarianceMatrix(cov); | |
310 | fFitter->GetParameters(par); | |
311 | Double_t chi2 = fFitter->GetChisquare()/(npoints - 4 - fLambda); | |
312 | ||
313 | // store results | |
314 | if(fStatus&2 && fStatus&1){ | |
5f38a39d | 315 | fTNodes[node].fPar = par; |
316 | fTNodes[node].fCov = cov; | |
317 | fTNodes[node].fPDFstatus = kTRUE; | |
316a7f5a | 318 | } |
319 | ||
320 | // Build df/dpi|x values | |
321 | Double_t *fdfdp = &fBuffer[fLambda]; | |
322 | ipar = 0; | |
323 | fdfdp[ipar++] = 1.; | |
f2040a8f | 324 | for(int idim=0; idim<fNDim; idim++){ |
316a7f5a | 325 | fdfdp[ipar++] = point[idim]; |
326 | for(int jdim=idim; jdim<fNDim; jdim++) fdfdp[ipar++] = point[idim]*point[jdim]; | |
f2040a8f | 327 | } |
316a7f5a | 328 | |
329 | // calculate estimation | |
330 | result =0.; error = 0.; | |
331 | for(int i=0; i<fLambda; i++){ | |
332 | result += fdfdp[i]*par(i); | |
333 | for(int j=0; j<fLambda; j++) error += fdfdp[i]*fdfdp[j]*cov(i,j); | |
334 | } | |
335 | error = TMath::Sqrt(error); | |
336 | ||
337 | return chi2; | |
f2040a8f | 338 | } |
339 | ||
316a7f5a | 340 | // //_________________________________________________________________ |
341 | // Double_t TKDInterpolator::Eval1(const Double_t *point, Int_t npoints, Double_t &result, Double_t &error) | |
342 | // { | |
343 | // // Evaluate PDF at k-dimensional position "point". The initial number of | |
344 | // // neighbour estimation points is set to "npoints". The default method | |
345 | // // used for interpolation is kCOG. | |
346 | // | |
347 | // // calculate number of parameters in the parabolic expresion | |
348 | // Int_t lambda = 1 + fNDim + fNDim*(fNDim+1)/2; | |
349 | // | |
350 | // if(!fBuffer) fBuffer = new Double_t[lambda-1]; | |
351 | // if(!fKDhelper) fKDhelper = new TKDTreeIF(GetNTerminalNodes(), fNDim, npoints, fRefPoints); | |
352 | // | |
353 | // if(!fFitter) fFitter = new TLinearFitter(lambda, Form("hyp%d", fNDim+1)); | |
354 | // else fFitter->SetFormula(Form("hyp%d", fNDim+1)); | |
355 | // | |
356 | // | |
357 | // Float_t pointF[50]; | |
358 | // for(int idim=0; idim<fNDim; idim++) pointF[idim] = point[idim]; | |
359 | // Int_t istart = 0; | |
360 | // Int_t *index, ipar; | |
361 | // Float_t *bounds, *dist, *w = new Float_t[fNDim]; | |
362 | // Double_t uncertainty = TMath::Sqrt(1./fBucketSize); | |
363 | // fFitter->ClearPoints(); | |
364 | // do{ | |
365 | // if(!fKDhelper->FindNearestNeighbors(pointF, npoints+1, index, dist)){ | |
366 | // Error("Eval()", Form("Failed retriving %d neighbours for point:", npoints)); | |
367 | // for(int idim=0; idim<fNDim; idim++) printf("%f ", point[idim]); | |
368 | // printf("\n"); | |
369 | // return -1; | |
370 | // } | |
371 | // for(int in=istart; in<npoints; in++){ | |
372 | // for(int idim=0; idim<fNDim; idim++) w[idim] = fRefPoints[idim][index[in]]; | |
373 | // bounds = GetBoundary(FindNode(w)); | |
374 | // | |
375 | // ipar = 0; | |
376 | // for(int idim=0; idim<fNDim; idim++){ | |
377 | // fBuffer[ipar++] = .5*(bounds[2*idim] + bounds[2*idim+1]); | |
378 | // fBuffer[ipar++] = (bounds[2*idim]*bounds[2*idim] + bounds[2*idim] * bounds[2*idim+1] + bounds[2*idim+1] * bounds[2*idim+1])/3.; | |
379 | // 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; | |
380 | // } | |
381 | // | |
382 | // fFitter->AddPoint(fBuffer, fRefValues[index[in]], fRefValues[index[in]]*uncertainty); | |
383 | // } | |
384 | // istart = npoints; | |
385 | // npoints += 4; | |
386 | // } while(fFitter->Eval()); | |
387 | // delete [] w; | |
388 | // | |
389 | // // calculate evaluation | |
390 | // // fFitter->PrintResults(3); | |
391 | // TMatrixD cov(lambda, lambda); | |
392 | // TVectorD par(lambda); | |
393 | // fFitter->GetCovarianceMatrix(cov); | |
394 | // fFitter->GetParameters(par); | |
395 | // | |
396 | // // Build temporary array to keep values df/dpi|x | |
397 | // Double_t f[100]; | |
398 | // ipar = 0; | |
399 | // f[ipar++] = 1.; | |
400 | // for(int idim=0; idim<fNDim; idim++){ | |
401 | // f[ipar++] = point[idim]; | |
402 | // for(int jdim=idim; jdim<fNDim; jdim++) f[ipar++] = point[idim]*point[jdim]; | |
403 | // } | |
404 | // result =0.; error = 0.; | |
405 | // for(int i=0; i<lambda; i++){ | |
406 | // result += f[i]*par[i]; | |
407 | // for(int j=0; j<lambda; j++) error += f[i]*f[j]*cov(i,j); | |
408 | // } | |
409 | // error = TMath::Sqrt(error); | |
410 | // Double_t chi2 = fFitter->GetChisquare()/(npoints - 4 - lambda); | |
411 | // | |
412 | // for(int ipar=0; ipar<lambda; ipar++) printf("%d %8.6e %8.6e\n", ipar, par[ipar], TMath::Sqrt(cov(ipar, ipar))); | |
413 | // printf("result %6.3f +- %6.3f [%f]\n", result, error, chi2); | |
414 | // return chi2; | |
415 | // } | |
416 | ||
f2040a8f | 417 | |
418 | //_________________________________________________________________ | |
df84bc73 | 419 | void TKDInterpolator::DrawNodes(UInt_t ax1, UInt_t ax2, Int_t depth) |
f2040a8f | 420 | { |
421 | // Draw nodes structure projected on plane "ax1:ax2". The parameter | |
422 | // "depth" specifies the bucket size per node. If depth == -1 draw only | |
423 | // terminal nodes and evaluation points (default -1 i.e. bucket size per node equal bucket size specified by the user) | |
df84bc73 | 424 | // |
425 | // Observation: | |
426 | // This function creates the nodes (TBox) array for the specified depth | |
427 | // but don't delete it. Abusing this function may cause memory leaks ! | |
428 | ||
f2040a8f | 429 | |
430 | if(!fBoundaries) MakeBoundaries(); | |
431 | ||
432 | // Count nodes in specific view | |
433 | Int_t nnodes = 0; | |
434 | for(int inode = 0; inode <= 2*fNnodes; inode++){ | |
435 | if(depth == -1){ | |
436 | if(!IsTerminal(inode)) continue; | |
437 | } else if((inode+1) >> depth != 1) continue; | |
438 | nnodes++; | |
439 | } | |
440 | ||
441 | //printf("depth %d nodes %d\n", depth, nnodes); | |
442 | ||
df84bc73 | 443 | TH2 *h2 = 0x0; |
444 | 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]); | |
445 | h2->GetXaxis()->SetTitle(Form("x_{%d}", ax1)); | |
446 | h2->GetYaxis()->SetTitle(Form("x_{%d}", ax2)); | |
f2040a8f | 447 | h2->Draw(); |
448 | ||
449 | const Float_t border = 0.;//1.E-4; | |
df84bc73 | 450 | TBox *node_array = new TBox[nnodes], *node; |
f2040a8f | 451 | Float_t *bounds = 0x0; |
452 | nnodes = 0; | |
453 | for(int inode = 0; inode <= 2*fNnodes; inode++){ | |
454 | if(depth == -1){ | |
455 | if(!IsTerminal(inode)) continue; | |
456 | } else if((inode+1) >> depth != 1) continue; | |
457 | ||
df84bc73 | 458 | node = &node_array[nnodes++]; |
459 | //node = new TBox(bounds[2*ax1]+border, bounds[2*ax2]+border, bounds[2*ax1+1]-border, bounds[2*ax2+1]-border); | |
460 | node->SetFillStyle(3002); | |
461 | node->SetFillColor(50+Int_t(gRandom->Uniform()*50.)); | |
f2040a8f | 462 | bounds = GetBoundary(inode); |
df84bc73 | 463 | node->DrawBox(bounds[2*ax1]+border, bounds[2*ax2]+border, bounds[2*ax1+1]-border, bounds[2*ax2+1]-border); |
f2040a8f | 464 | } |
465 | if(depth != -1) return; | |
466 | ||
467 | // Draw reference points | |
468 | TGraph *ref = new TGraph(GetNTerminalNodes()); | |
df84bc73 | 469 | ref->SetMarkerStyle(3); |
470 | ref->SetMarkerSize(.7); | |
f2040a8f | 471 | ref->SetMarkerColor(2); |
5f38a39d | 472 | for(int inode = 0; inode < GetNTerminalNodes(); inode++) ref->SetPoint(inode, fTNodes[inode].fRefPoint[ax1], fTNodes[inode].fRefPoint[ax2]); |
f2040a8f | 473 | ref->Draw("p"); |
474 | return; | |
475 | } | |
476 | ||
477 | //_________________________________________________________________ | |
df84bc73 | 478 | void TKDInterpolator::DrawNode(Int_t tnode, UInt_t ax1, UInt_t ax2) |
f2040a8f | 479 | { |
480 | // Draw node "node" and the data points within. | |
df84bc73 | 481 | // |
482 | // Observation: | |
483 | // This function creates some graphical objects | |
484 | // but don't delete it. Abusing this function may cause memory leaks ! | |
f2040a8f | 485 | |
486 | if(tnode < 0 || tnode >= GetNTerminalNodes()){ | |
487 | Warning("DrawNode()", Form("Terminal node %d outside defined range.", tnode)); | |
488 | return; | |
489 | } | |
490 | ||
f2040a8f | 491 | Int_t inode = tnode; |
492 | tnode += fNnodes; | |
493 | // select zone of interest in the indexes array | |
494 | Int_t *index = GetPointsIndexes(tnode); | |
495 | Int_t nPoints = (tnode == 2*fNnodes) ? fNpoints%fBucketSize : fBucketSize; | |
496 | ||
f2040a8f | 497 | // draw data points |
498 | TGraph *g = new TGraph(nPoints); | |
df84bc73 | 499 | g->SetMarkerStyle(7); |
f2040a8f | 500 | for(int ip = 0; ip<nPoints; ip++) g->SetPoint(ip, fData[ax1][index[ip]], fData[ax2][index[ip]]); |
f2040a8f | 501 | |
502 | // draw estimation point | |
5f38a39d | 503 | TMarker *m=new TMarker(fTNodes[inode].fRefPoint[ax1], fTNodes[inode].fRefPoint[ax2], 20); |
f2040a8f | 504 | m->SetMarkerColor(2); |
df84bc73 | 505 | m->SetMarkerSize(1.7); |
f2040a8f | 506 | |
507 | // draw node contour | |
508 | Float_t *bounds = GetBoundary(tnode); | |
509 | TBox *n = new TBox(bounds[2*ax1], bounds[2*ax2], bounds[2*ax1+1], bounds[2*ax2+1]); | |
510 | n->SetFillStyle(0); | |
df84bc73 | 511 | |
512 | if(gPad) gPad->Clear(); | |
513 | g->Draw("ap"); | |
514 | m->Draw(); | |
f2040a8f | 515 | n->Draw(); |
516 | ||
517 | return; | |
518 | } | |
519 | ||
316a7f5a | 520 | |
521 | //__________________________________________________________________ | |
522 | void TKDInterpolator::SetIntInterpolation(const Bool_t on) | |
523 | { | |
524 | // Set interpolation bit to "on" and build/delete memory | |
525 | ||
526 | if(on) fStatus += fStatus&1 ? 0 : 1; | |
527 | else fStatus += fStatus&1 ? -1 : 0; | |
528 | TString formula; | |
529 | if(on) formula = Form("hyp%d", fLambda-1); | |
530 | else { | |
531 | formula = "1"; | |
532 | for(int idim=0; idim<fNDim; idim++){ | |
533 | formula += Form("++x[%d]", idim); | |
534 | for(int jdim=idim; jdim<fNDim; jdim++) formula += Form("++x[%d]*x[%d]", idim, jdim); | |
535 | } | |
536 | } | |
537 | if(!fFitter) fFitter = new TLinearFitter(fLambda, formula.Data()); | |
538 | else fFitter->SetFormula(formula.Data()); | |
539 | } | |
540 | ||
541 | ||
542 | //_________________________________________________________________ | |
543 | void TKDInterpolator::SetSetStore(const Bool_t on) | |
544 | { | |
545 | // Set store bit to "on" and build/delete memory | |
546 | ||
547 | if(on){ | |
548 | fStatus += fStatus&2 ? 0 : 2; | |
5f38a39d | 549 | /* if(!fCov){ |
316a7f5a | 550 | fPDFstatus = new Bool_t[fNTNodes]; |
551 | fCov = new TMatrixD[fNTNodes]; | |
552 | fPar = new TVectorD[fNTNodes]; | |
553 | for(int i=0; i<fNTNodes; i++){ | |
554 | fPDFstatus[i] = kFALSE; | |
555 | fCov[i].ResizeTo(fLambda, fLambda); | |
556 | fPar[i].ResizeTo(fLambda); | |
557 | } | |
5f38a39d | 558 | }*/ |
316a7f5a | 559 | } else { |
560 | fStatus += fStatus&2 ? -2 : 0; | |
5f38a39d | 561 | /* if(fCov){ |
316a7f5a | 562 | delete [] fPar; |
563 | delete [] fCov; | |
564 | delete [] fPDFstatus; | |
5f38a39d | 565 | }*/ |
316a7f5a | 566 | } |
567 | } | |
568 | ||
569 | //_________________________________________________________________ | |
570 | void TKDInterpolator::SetUseWeights(const Bool_t on) | |
571 | { | |
572 | if(on) fStatus += fStatus&4 ? 0 : 4; | |
573 | else fStatus += fStatus&4 ? -4 : 0; | |
574 | } | |
575 | ||
576 | ||
577 | //_________________________________________________________________ | |
578 | Double_t TKDInterpolator::CookPDF(const Double_t *point, const Int_t node, Double_t &result, Double_t &error) | |
579 | { | |
580 | // Recalculate the PDF for one node from the results of interpolation (parameters and covariance matrix) | |
581 | ||
582 | Info("CookPDF()", Form("Called for node %d", node)); | |
583 | ||
584 | if(!fBuffer) fBuffer = new Double_t[2*fLambda]; | |
585 | Double_t *fdfdp = &fBuffer[fLambda]; | |
586 | Int_t ipar = 0; | |
587 | fdfdp[ipar++] = 1.; | |
588 | for(int idim=0; idim<fNDim; idim++){ | |
589 | fdfdp[ipar++] = point[idim]; | |
590 | for(int jdim=idim; jdim<fNDim; jdim++) fdfdp[ipar++] = point[idim]*point[jdim]; | |
591 | } | |
592 | ||
593 | // calculate estimation | |
594 | result =0.; error = 0.; | |
595 | for(int i=0; i<fLambda; i++){ | |
5f38a39d | 596 | result += fdfdp[i]*fTNodes[node].fPar(i); |
597 | for(int j=0; j<fLambda; j++) error += fdfdp[i]*fdfdp[j]*fTNodes[node].fCov(i,j); | |
316a7f5a | 598 | } |
599 | error = TMath::Sqrt(error); | |
600 | printf("result[CookPDF] %6.3f +- %6.3f\n", result, error); | |
601 | ||
602 | return 0.; | |
603 | } | |
604 |