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1////////////////////////////////////////////////////////
2//
3// Bucket representation for TKDInterpolator(Base)
4//
5// The class store data and provides the interface to draw and print.
6// The bucket - generalized histogram bin in N dimensions is represented by unprocessed data like
7// - experimental PDF value and statistical error
8// - COG position (n-tuplu)
9// - boundaries
10// and interpolated data like
11// - parameters of the local parabolic fit
12// - their covariance matrix
13//
14// For drawing 2D projections the helper class TKDNodeInfo::TKDNodeDraw is used.
15//
16// Author Alexandru Bercuci <A.Bercuci@gsi.de>
17//
18////////////////////////////////////////////////////////
19
20#include "TKDNodeInfo.h"
21
22#include "TVectorD.h"
23#include "TMatrixD.h"
24#include "TRandom.h"
25#include "TMath.h"
26
27ClassImp(TKDNodeInfo)
28ClassImp(TKDNodeInfo::TKDNodeDraw)
29
30
31//_________________________________________________________________
32TKDNodeInfo::TKDNodeInfo(Int_t dim):
33 TObject()
34 ,fNDim(3*dim)
35 ,fData(NULL)
36 ,fNpar(0)
37 ,fNcov(0)
38 ,fPar(NULL)
39 ,fCov(NULL)
40{
41 // Default constructor
42 fVal[0] = 0.; fVal[1] = 0.;
43 Build(dim);
44}
45
46//_________________________________________________________________
47TKDNodeInfo::TKDNodeInfo(const TKDNodeInfo &ref):
48 TObject((TObject&) ref)
49 ,fNDim(fNDim)
50 ,fData(NULL)
51 ,fNpar(0)
52 ,fNcov(0)
53 ,fPar(NULL)
54 ,fCov(NULL)
55{
56 // Copy constructor
57 Build(fNDim/3);
58
59 memcpy(fData, ref.fData, fNDim*sizeof(Float_t));
60 fVal[0] = ref.fVal[0];
61 fVal[1] = ref.fVal[1];
62 if(ref.fNpar&&ref.fPar){
63 fNpar = ref.fNpar;
64 fPar=new Double_t[fNpar];
65 memcpy(fPar, ref.fPar, fNpar*sizeof(Double_t));
66 }
67 if(ref.fNcov && ref.fCov){
68 fNcov = ref.fNcov;
69 fCov=new Double_t[fNcov];
70 memcpy(fCov, ref.fCov, fNcov*sizeof(Double_t));
71 }
72}
73
74
75//_________________________________________________________________
76TKDNodeInfo::~TKDNodeInfo()
77{
78 // Destructor
79 if(fData) delete [] fData;
80 if(fPar) delete [] fPar;
81 if(fCov) delete [] fCov;
82}
83
84//_________________________________________________________________
85TKDNodeInfo& TKDNodeInfo::operator=(const TKDNodeInfo & ref)
86{
87// Info("operator==()", "...");
88
89 Int_t ndim = fNDim/3;
90 if(fNDim != ref.fNDim){
91 fNDim = ref.fNDim;
92 Build(ndim);
93 }
94 memcpy(fData, ref.fData, fNDim*sizeof(Float_t));
95 fVal[0] = ref.fVal[0];
96 fVal[1] = ref.fVal[1];
97 if(ref.fNpar&&ref.fPar){
98 fNpar = ref.fNpar;
99 fPar=new Double_t[fNpar];
100 memcpy(fPar, ref.fPar, fNpar*sizeof(Double_t));
101 }
102 if(ref.fNcov && ref.fCov){
103 fNcov = ref.fNcov;
104 fCov=new Double_t[fNcov];
105 memcpy(fCov, ref.fCov, fNcov*sizeof(Double_t));
106 }
107 return *this;
108}
109
110//_________________________________________________________________
111void TKDNodeInfo::Build(Int_t dim)
112{
113// Allocate/Reallocate space for this node.
114
115// Info("Build()", "...");
116
117 if(!dim) return;
118 fNDim = 3*dim;
119 if(fData) delete [] fData;
120 fData = new Float_t[fNDim];
121 return;
122}
123
124//_________________________________________________________________
125void TKDNodeInfo::Bootstrap()
126{
127 if(!fNpar || !fPar) return;
128
129 Int_t ndim = Int_t(.5*(TMath::Sqrt(1.+8.*fNpar)-1.))-1;
130 fNDim = 3*ndim;
131}
132
133//_________________________________________________________________
134void TKDNodeInfo::SetNode(Int_t ndim, Float_t *data, Float_t *pdf)
135{
136 Build(ndim);
137 memcpy(fData, data, fNDim*sizeof(Float_t));
138 fVal[0]=pdf[0]; fVal[1]=pdf[1];
139}
140
141
142//_________________________________________________________________
143void TKDNodeInfo::Print(const Option_t *opt) const
144{
145 // Print the content of the node
146 Int_t dim = Int_t(fNDim/3.);
147 printf("x[");
148 for(int idim=0; idim<dim; idim++) printf("%f ", fData?fData[idim]:0.);
149 printf("] f = [%f +- %f]\n", fVal[0], fVal[1]);
150
151 if(fData){
152 Float_t *bounds = &fData[dim];
153 printf("range[");
154 for(int idim=0; idim<dim; idim++) printf("(%f %f) ", bounds[2*idim], bounds[2*idim+1]);
155 printf("]\n");
156 }
157 if(strcmp(opt, "a")!=0) return;
158
159 if(fNpar){
160 printf("Fit parameters : \n");
161 for(int ip=0; ip<fNpar; ip++) printf("p%d[%f] ", ip, fPar[ip]);
162 printf("\n");
163 }
164 if(!fNcov) return;
165 for(int ip(0), n(0); ip<fNpar; ip++){
166 for(int jp(ip); jp<fNpar; jp++) printf("c(%d %d)[%f] ", ip, jp, fCov[n++]);
167 printf("\n");
168 }
169}
170
171//_________________________________________________________________
172void TKDNodeInfo::Store(TVectorD const *par, TMatrixD const *cov)
173{
174// Store the parameters and the covariance in the node
175
176 if(!fPar){SetNpar(); fPar = new Double_t[fNpar];}
177 for(int ip=0; ip<fNpar; ip++) fPar[ip] = (*par)[ip];
178
179 if(!cov) return;
180 if(!fCov){SetNcov(); fCov = new Double_t[fNcov];}
181 for(int ip(0), np(0); ip<fNpar; ip++)
182 for(int jp=ip; jp<fNpar; jp++) fCov[np++] = (*cov)(ip,jp);
183}
184
185//_________________________________________________________________
186Bool_t TKDNodeInfo::CookPDF(const Double_t *point, Double_t &result, Double_t &error) const
187{
188// Recalculate the PDF for one node from the results of interpolation (parameters and covariance matrix)
189
190 Int_t ndim = Int_t(fNDim/3.);
191 if(ndim>10) return kFALSE; // support only up to 10 dimensions
192 //printf("ndim[%d] npar[%d] ncov[%d]\n", ndim, fNpar, fNcov);
193
194 Double_t fdfdp[66]; memset(fdfdp, 0, ndim*sizeof(Double_t));
195 Int_t ipar = 0;
196 fdfdp[ipar++] = 1.;
197 for(int idim=0; idim<ndim; idim++){
198 fdfdp[ipar++] = point[idim];
199 for(int jdim=idim; jdim<ndim; jdim++) fdfdp[ipar++] = point[idim]*point[jdim];
200 }
201
202 // calculate estimation
203 result =0.; error = 0.;
204 for(int i=0; i<fNpar; i++) result += fdfdp[i]*fPar[i];
205 if(!fNcov) return kTRUE;
206
207 for(int i(0), n(0); i<fNpar; i++){
208 error += fdfdp[i]*fdfdp[i]*fCov[n++];
209 for(int j(i+1); j<fNpar; j++) error += 2.*fdfdp[i]*fdfdp[j]*fCov[n++];
210 }
211 error = TMath::Sqrt(error);
212
213 //printf("TKDNodeInfo::CookPDF() : %6.3f +- %6.3f\n", result, error);
214
215 return kTRUE;
216}
217
218
219
220//_________________________________________________________________
221TKDNodeInfo::TKDNodeDraw::TKDNodeDraw()
222 :TBox()
223 ,fCOG()
224 ,fNode(NULL)
225{
226 SetFillStyle(3002);
227 SetFillColor(50+Int_t(gRandom->Uniform()*50.));
228
229 fCOG.SetMarkerStyle(3);
230 fCOG.SetMarkerSize(.7);
231 fCOG.SetMarkerColor(2);
232}
233
234
235//_________________________________________________________________
236void TKDNodeInfo::TKDNodeDraw::Draw(Option_t* option)
237{
238 TBox::Draw(option);
239 fCOG.Draw("p");
240}
241
242//_________________________________________________________________
243void TKDNodeInfo::TKDNodeDraw::SetNode(TKDNodeInfo *node, UChar_t size, UChar_t ax1, UChar_t ax2)
244{
245 fNode=node;
246 const Float_t kBorder = 0.;//1.E-4;
247 Float_t *bounds = &(node->Data()[size]);
248 fX1=bounds[2*ax1]+kBorder;
249 fX2=bounds[2*ax1+1]-kBorder;
250 fY1=bounds[2*ax2]+kBorder;
251 fY2=bounds[2*ax2+1]-kBorder;
252
253 Float_t x(node->Data()[ax1]), y(node->Data()[ax2]);
254 fCOG.SetX(x); fCOG.SetY(y);
255}
256
257
258//_________________________________________________________________
259void TKDNodeInfo::TKDNodeDraw::Print(const Option_t* option) const
260{
261 if(!fNode) return;
262 fNode->Print(option);
263}