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5406439e 1/**************************************************************************
2 * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
3 * *
4 * Author: The ALICE Off-line Project. *
5 * Contributors are mentioned in the code where appropriate. *
6 * *
7 * Permission to use, copy, modify and distribute this software and its *
8 * documentation strictly for non-commercial purposes is hereby granted *
9 * without fee, provided that the above copyright notice appears in all *
10 * copies and that both the copyright notice and this permission notice *
11 * appear in the supporting documentation. The authors make no claims *
12 * about the suitability of this software for any purpose. It is *
13 * provided "as is" without express or implied warranty. *
14 **************************************************************************/
0eea9d4d 15
16#include <TString.h>
17#include <TSystem.h>
0eea9d4d 18#include <TROOT.h>
40389866 19#include <TRandom.h>
5406439e 20#include <stdio.h>
21#include <TMethodCall.h>
22#include <TMath.h>
23#include <TH1.h>
0eea9d4d 24#include "AliCheb3D.h"
5406439e 25#include "AliCheb3DCalc.h"
0eea9d4d 26
0eea9d4d 27ClassImp(AliCheb3D)
28
40389866 29//__________________________________________________________________________________________
30AliCheb3D::AliCheb3D() :
31 fDimOut(0),
32 fPrec(0),
33 fChebCalc(1),
34 fMaxCoefs(0),
35 fResTmp(0),
36 fGrid(0),
37 fUsrFunName(""),
38 fUsrMacro(0)
0eea9d4d 39{
40389866 40 for (int i=3;i--;) fBMin[i] = fBMax[i] = fBScale[i] = fBOffset[i] = 0;
0eea9d4d 41}
42
40389866 43//__________________________________________________________________________________________
44AliCheb3D::AliCheb3D(const AliCheb3D& src) :
45 TNamed(src),
46 fDimOut(src.fDimOut),
47 fPrec(src.fPrec),
48 fChebCalc(1),
49 fMaxCoefs(src.fMaxCoefs),
50 fResTmp(0),
51 fGrid(0),
52 fUsrFunName(src.fUsrFunName),
53 fUsrMacro(0)
0eea9d4d 54{
40389866 55 // read coefs from text file
56 for (int i=3;i--;) {
57 fBMin[i] = src.fBMin[i];
58 fBMax[i] = src.fBMax[i];
59 fBScale[i] = src.fBScale[i];
60 fBOffset[i] = src.fBOffset[i];
61 fNPoints[i] = src.fNPoints[i];
62 }
63 for (int i=0;i<fDimOut;i++) {
64 AliCheb3DCalc* cbc = src.GetChebCalc(i);
65 if (cbc) fChebCalc.AddAtAndExpand(new AliCheb3DCalc(*cbc),i);
66 }
0eea9d4d 67}
68
40389866 69//__________________________________________________________________________________________
70AliCheb3D::AliCheb3D(const char* inpFile) :
71 fDimOut(0),
72 fPrec(0),
73 fChebCalc(1),
74 fMaxCoefs(0),
75 fResTmp(0),
76 fGrid(0),
77 fUsrFunName(""),
78 fUsrMacro(0)
0bc7b414 79{
40389866 80 // read coefs from text file
81 for (int i=3;i--;) fBMin[i] = fBMax[i] = fBScale[i] = fBOffset[i] = 0;
82 LoadData(inpFile);
c437b1a5 83}
84
40389866 85//__________________________________________________________________________________________
86AliCheb3D::AliCheb3D(FILE* stream) :
87 fDimOut(0),
88 fPrec(0),
89 fChebCalc(1),
90 fMaxCoefs(0),
91 fResTmp(0),
92 fGrid(0),
93 fUsrFunName(""),
94 fUsrMacro(0)
c437b1a5 95{
40389866 96 // read coefs from stream
97 for (int i=3;i--;) fBMin[i] = fBMax[i] = fBScale[i] = fBOffset[i] = 0;
98 LoadData(stream);
0bc7b414 99}
0eea9d4d 100
101//__________________________________________________________________________________________
102#ifdef _INC_CREATION_ALICHEB3D_
40389866 103AliCheb3D::AliCheb3D(const char* funName, int DimOut, Float_t *bmin,Float_t *bmax, Int_t *npoints, Float_t prec) :
104 TNamed(funName,funName),
105 fDimOut(0),
106 fPrec(TMath::Max(1.E-12f,prec)),
107 fChebCalc(1),
108 fMaxCoefs(0),
109 fResTmp(0),
110 fGrid(0),
111 fUsrFunName("") ,
112 fUsrMacro(0)
0eea9d4d 113{
114 // Construct the parameterization for the function
115 // funName : name of the file containing the function: void funName(Float_t * inp,Float_t * out)
116 // DimOut : dimension of the vector computed by the user function
117 // bmin : array of 3 elements with the lower boundaries of the region where the function is defined
118 // bmax : array of 3 elements with the upper boundaries of the region where the function is defined
119 // npoints : array of 3 elements with the number of points to compute in each of 3 dimension
120 // prec : max allowed absolute difference between the user function and computed parameterization on the requested grid
121 //
0eea9d4d 122 if (DimOut<1) {Error("AliCheb3D","Requested output dimension is %d\nStop\n",fDimOut); exit(1);}
123 SetDimOut(DimOut);
124 PrepareBoundaries(bmin,bmax);
125 DefineGrid(npoints);
126 SetUsrFunction(funName);
127 ChebFit();
128 //
129}
130#endif
131
132//__________________________________________________________________________________________
133#ifdef _INC_CREATION_ALICHEB3D_
40389866 134AliCheb3D::AliCheb3D(void (*ptr)(float*,float*), int DimOut, Float_t *bmin,Float_t *bmax, Int_t *npoints, Float_t prec) :
135 fDimOut(0),
136 fPrec(TMath::Max(1.E-12f,prec)),
137 fChebCalc(1),
138 fMaxCoefs(0),
139 fResTmp(0),
140 fGrid(0),
141 fUsrFunName(""),
142 fUsrMacro(0)
0eea9d4d 143{
144 // Construct the parameterization for the function
145 // ptr : pointer on the function: void fun(Float_t * inp,Float_t * out)
146 // DimOut : dimension of the vector computed by the user function
147 // bmin : array of 3 elements with the lower boundaries of the region where the function is defined
148 // bmax : array of 3 elements with the upper boundaries of the region where the function is defined
149 // npoints : array of 3 elements with the number of points to compute in each of 3 dimension
150 // prec : max allowed absolute difference between the user function and computed parameterization on the requested grid
151 //
0eea9d4d 152 if (DimOut<1) {Error("AliCheb3D","Requested output dimension is %d\nStop\n",fDimOut); exit(1);}
153 SetDimOut(DimOut);
154 PrepareBoundaries(bmin,bmax);
155 DefineGrid(npoints);
156 SetUsrFunction(ptr);
157 ChebFit();
158 //
159}
160#endif
161
40389866 162//__________________________________________________________________________________________
163#ifdef _INC_CREATION_ALICHEB3D_
164AliCheb3D::AliCheb3D(void (*ptr)(float*,float*), int DimOut, Float_t *bmin,Float_t *bmax, Int_t *npX,Int_t *npY,Int_t *npZ, Float_t prec) :
165 fDimOut(0),
166 fPrec(TMath::Max(1.E-12f,prec)),
167 fChebCalc(1),
168 fMaxCoefs(0),
169 fResTmp(0),
170 fGrid(0),
171 fUsrFunName(""),
172 fUsrMacro(0)
173{
174 // Construct very economic parameterization for the function
175 // ptr : pointer on the function: void fun(Float_t * inp,Float_t * out)
176 // DimOut : dimension of the vector computed by the user function
177 // bmin : array of 3 elements with the lower boundaries of the region where the function is defined
178 // bmax : array of 3 elements with the upper boundaries of the region where the function is defined
179 // npX : array of 3 elements with the number of points to compute in each dimension for 1st component
180 // npY : array of 3 elements with the number of points to compute in each dimension for 2nd component
181 // npZ : array of 3 elements with the number of points to compute in each dimension for 3d component
182 // prec : max allowed absolute difference between the user function and computed parameterization on the requested grid
183 //
184 if (DimOut<1) {Error("AliCheb3D","Requested output dimension is %d\nStop\n",fDimOut); exit(1);}
185 SetDimOut(DimOut);
186 PrepareBoundaries(bmin,bmax);
187 SetUsrFunction(ptr);
188 //
189 DefineGrid(npX);
190 ChebFit(0);
191 DefineGrid(npY);
192 ChebFit(1);
193 DefineGrid(npZ);
194 ChebFit(2);
195 //
196}
197#endif
198
199
200//__________________________________________________________________________________________
201#ifdef _INC_CREATION_ALICHEB3D_
1d18ebe0 202AliCheb3D::AliCheb3D(void (*ptr)(float*,float*), int DimOut, Float_t *bmin,Float_t *bmax, Float_t prec, Bool_t run) :
40389866 203 fDimOut(0),
204 fPrec(TMath::Max(1.E-12f,prec)),
205 fChebCalc(1),
206 fMaxCoefs(0),
207 fResTmp(0),
208 fGrid(0),
209 fUsrFunName(""),
210 fUsrMacro(0)
211{
212 // Construct very economic parameterization for the function with automatic calculation of the root's grid
213 // ptr : pointer on the function: void fun(Float_t * inp,Float_t * out)
214 // DimOut : dimension of the vector computed by the user function
215 // bmin : array of 3 elements with the lower boundaries of the region where the function is defined
216 // bmax : array of 3 elements with the upper boundaries of the region where the function is defined
217 // prec : max allowed absolute difference between the user function and computed parameterization on the requested grid
218 //
219 if (DimOut!=3) {Error("AliCheb3D","This constructor works only for 3D fits, %dD fit was requested\n",fDimOut); exit(1);}
220 SetDimOut(DimOut);
221 PrepareBoundaries(bmin,bmax);
222 SetUsrFunction(ptr);
223 //
1d18ebe0 224 if (run) {
225 int gridNC[3][3];
226 EstimateNPoints(prec,gridNC);
227 DefineGrid(gridNC[0]);
228 ChebFit(0);
229 DefineGrid(gridNC[1]);
230 ChebFit(1);
231 DefineGrid(gridNC[2]);
232 ChebFit(2);
233 }
40389866 234 //
235}
236#endif
237
238
239//__________________________________________________________________________________________
240AliCheb3D& AliCheb3D::operator=(const AliCheb3D& rhs)
241{
5406439e 242 // assignment operator
243 //
40389866 244 if (this != &rhs) {
245 Clear();
246 fDimOut = rhs.fDimOut;
247 fPrec = rhs.fPrec;
248 fMaxCoefs = rhs.fMaxCoefs;
249 fUsrFunName = rhs.fUsrFunName;
250 fUsrMacro = 0;
251 for (int i=3;i--;) {
252 fBMin[i] = rhs.fBMin[i];
253 fBMax[i] = rhs.fBMax[i];
254 fBScale[i] = rhs.fBScale[i];
255 fBOffset[i] = rhs.fBOffset[i];
256 fNPoints[i] = rhs.fNPoints[i];
257 }
258 for (int i=0;i<fDimOut;i++) {
259 AliCheb3DCalc* cbc = rhs.GetChebCalc(i);
260 if (cbc) fChebCalc.AddAtAndExpand(new AliCheb3DCalc(*cbc),i);
261 }
262 }
263 return *this;
264 //
265}
0bc7b414 266
0eea9d4d 267//__________________________________________________________________________________________
5406439e 268void AliCheb3D::Clear(const Option_t*)
0eea9d4d 269{
5406439e 270 // clear all dynamic structures
271 //
0eea9d4d 272 if (fResTmp) { delete[] fResTmp; fResTmp = 0; }
273 if (fGrid) { delete[] fGrid; fGrid = 0; }
274 if (fUsrMacro) { delete fUsrMacro; fUsrMacro = 0;}
275 fChebCalc.Delete();
276 //
277}
278
279//__________________________________________________________________________________________
5406439e 280void AliCheb3D::Print(const Option_t* opt) const
0eea9d4d 281{
5406439e 282 // print info
283 //
0eea9d4d 284 printf("%s: Chebyshev parameterization for 3D->%dD function. Precision: %e\n",GetName(),fDimOut,fPrec);
285 printf("Region of validity: [%+.5e:%+.5e] [%+.5e:%+.5e] [%+.5e:%+.5e]\n",fBMin[0],fBMax[0],fBMin[1],fBMax[1],fBMin[2],fBMax[2]);
286 TString opts = opt; opts.ToLower();
287 if (opts.Contains("l")) for (int i=0;i<fDimOut;i++) {printf("Output dimension %d:\n",i+1); GetChebCalc(i)->Print();}
288 //
289}
290
0eea9d4d 291//__________________________________________________________________________________________
5406439e 292void AliCheb3D::PrepareBoundaries(const Float_t *bmin, const Float_t *bmax)
0eea9d4d 293{
294 // Set and check boundaries defined by user, prepare coefficients for their conversion to [-1:1] interval
295 //
296 for (int i=3;i--;) {
297 fBMin[i] = bmin[i];
298 fBMax[i] = bmax[i];
299 fBScale[i] = bmax[i]-bmin[i];
300 if (fBScale[i]<=0) {
301 Error("PrepareBoundaries","Boundaries for %d-th dimension are not increasing: %+.4e %+.4e\nStop\n",i,fBMin[i],fBMax[i]);
302 exit(1);
303 }
304 fBOffset[i] = bmin[i] + fBScale[i]/2.0;
305 fBScale[i] = 2./fBScale[i];
306 }
307 //
308}
309
40389866 310
0eea9d4d 311//__________________________________________________________________________________________
312#ifdef _INC_CREATION_ALICHEB3D_
40389866 313
314// Pointer on user function (faster altrnative to TMethodCall)
315void (*gUsrFunAliCheb3D) (float* ,float* );
316
317void AliCheb3D::EvalUsrFunction()
318{
319 // call user supplied function
320 if (gUsrFunAliCheb3D) gUsrFunAliCheb3D(fArgsTmp,fResTmp);
321 else fUsrMacro->Execute();
322}
323
0eea9d4d 324void AliCheb3D::SetUsrFunction(const char* name)
325{
326 // load user macro with function definition and compile it
327 gUsrFunAliCheb3D = 0;
328 fUsrFunName = name;
329 gSystem->ExpandPathName(fUsrFunName);
330 if (fUsrMacro) delete fUsrMacro;
331 TString tmpst = fUsrFunName;
332 tmpst += "+"; // prepare filename to compile
333 if (gROOT->LoadMacro(tmpst.Data())) {Error("SetUsrFunction","Failed to load user function from %s\nStop\n",name); exit(1);}
334 fUsrMacro = new TMethodCall();
335 tmpst = tmpst.Data() + tmpst.Last('/')+1; //Strip away any path preceding the macro file name
336 int dot = tmpst.Last('.');
337 if (dot>0) tmpst.Resize(dot);
338 fUsrMacro->InitWithPrototype(tmpst.Data(),"Float_t *,Float_t *");
339 long args[2];
340 args[0] = (long)fArgsTmp;
341 args[1] = (long)fResTmp;
342 fUsrMacro->SetParamPtrs(args);
343 //
344}
345#endif
346
347//__________________________________________________________________________________________
348#ifdef _INC_CREATION_ALICHEB3D_
349void AliCheb3D::SetUsrFunction(void (*ptr)(float*,float*))
350{
5406439e 351 // assign user training function
352 //
0eea9d4d 353 if (fUsrMacro) delete fUsrMacro;
354 fUsrMacro = 0;
355 fUsrFunName = "";
356 gUsrFunAliCheb3D = ptr;
357}
358#endif
359
360//__________________________________________________________________________________________
361#ifdef _INC_CREATION_ALICHEB3D_
da7cd221 362void AliCheb3D::EvalUsrFunction(const Float_t *x, Float_t *res)
5406439e 363{
364 // evaluate user function value
365 //
0eea9d4d 366 for (int i=3;i--;) fArgsTmp[i] = x[i];
367 if (gUsrFunAliCheb3D) gUsrFunAliCheb3D(fArgsTmp,fResTmp);
368 else fUsrMacro->Execute();
369 for (int i=fDimOut;i--;) res[i] = fResTmp[i];
370}
371#endif
372
373//__________________________________________________________________________________________
374#ifdef _INC_CREATION_ALICHEB3D_
5406439e 375Int_t AliCheb3D::CalcChebCoefs(const Float_t *funval,int np, Float_t *outCoefs, Float_t prec)
0eea9d4d 376{
377 // Calculate Chebyshev coeffs using precomputed function values at np roots.
378 // If prec>0, estimate the highest coeff number providing the needed precision
379 //
380 double sm; // do summations in double to minimize the roundoff error
381 for (int ic=0;ic<np;ic++) { // compute coeffs
382 sm = 0;
383 for (int ir=0;ir<np;ir++) {
384 float rt = TMath::Cos( ic*(ir+0.5)*TMath::Pi()/np);
385 sm += funval[ir]*rt;
386 }
387 outCoefs[ic] = Float_t( sm * ((ic==0) ? 1./np : 2./np) );
388 }
389 //
390 if (prec<=0) return np;
391 //
392 sm = 0;
393 int cfMax = 0;
394 for (cfMax=np;cfMax--;) {
395 sm += TMath::Abs(outCoefs[cfMax]);
396 if (sm>=prec) break;
397 }
398 if (++cfMax==0) cfMax=1;
399 return cfMax;
400 //
401}
402#endif
403
404//__________________________________________________________________________________________
405#ifdef _INC_CREATION_ALICHEB3D_
406void AliCheb3D::DefineGrid(Int_t* npoints)
407{
408 // prepare the grid of Chebyshev roots in each dimension
409 const int kMinPoints = 1;
410 int ntot = 0;
411 fMaxCoefs = 1;
412 for (int id=3;id--;) {
413 fNPoints[id] = npoints[id];
414 if (fNPoints[id]<kMinPoints) {
40389866 415 Error("DefineGrid","at %d-th dimension %d point is requested, at least %d is needed\nStop\n",id,fNPoints[id],kMinPoints);
0eea9d4d 416 exit(1);
417 }
418 ntot += fNPoints[id];
419 fMaxCoefs *= fNPoints[id];
420 }
40389866 421 printf("Computing Chebyshev nodes on [%2d/%2d/%2d] grid\n",npoints[0],npoints[1],npoints[2]);
422 if (fGrid) delete[] fGrid;
0eea9d4d 423 fGrid = new Float_t [ntot];
424 //
425 int curp = 0;
426 for (int id=3;id--;) {
427 int np = fNPoints[id];
428 fGridOffs[id] = curp;
429 for (int ip=0;ip<np;ip++) {
430 Float_t x = TMath::Cos( TMath::Pi()*(ip+0.5)/np );
431 fGrid[curp++] = MapToExternal(x,id);
432 }
433 }
434 //
435}
436#endif
437
438//__________________________________________________________________________________________
439#ifdef _INC_CREATION_ALICHEB3D_
440Int_t AliCheb3D::ChebFit()
441{
442 // prepare parameterization for all output dimensions
443 int ir=0;
444 for (int i=fDimOut;i--;) ir+=ChebFit(i);
445 return ir;
446}
447#endif
448
449//__________________________________________________________________________________________
450#ifdef _INC_CREATION_ALICHEB3D_
451Int_t AliCheb3D::ChebFit(int dmOut)
452{
453 // prepare paramaterization of 3D function for dmOut-th dimension
454 int maxDim = 0;
455 for (int i=0;i<3;i++) if (maxDim<fNPoints[i]) maxDim = fNPoints[i];
456 Float_t *fvals = new Float_t [ fNPoints[0] ];
457 Float_t *tmpCoef3D = new Float_t [ fNPoints[0]*fNPoints[1]*fNPoints[2] ];
458 Float_t *tmpCoef2D = new Float_t [ fNPoints[0]*fNPoints[1] ];
459 Float_t *tmpCoef1D = new Float_t [ maxDim ];
460 //
1d18ebe0 461 Float_t rTiny = 0.1*fPrec/Float_t(maxDim); // neglect coefficient below this threshold
0eea9d4d 462 //
463 // 1D Cheb.fit for 0-th dimension at current steps of remaining dimensions
464 int ncmax = 0;
465 //
40389866 466 printf("Dim%d : 00.00%% Done",dmOut);fflush(stdout);
0eea9d4d 467 AliCheb3DCalc* cheb = GetChebCalc(dmOut);
468 //
40389866 469 float ncals2count = fNPoints[2]*fNPoints[1]*fNPoints[0];
470 float ncals = 0;
471 float frac = 0;
472 float fracStep = 0.001;
473 //
0eea9d4d 474 for (int id2=fNPoints[2];id2--;) {
475 fArgsTmp[2] = fGrid[ fGridOffs[2]+id2 ];
476 //
477 for (int id1=fNPoints[1];id1--;) {
478 fArgsTmp[1] = fGrid[ fGridOffs[1]+id1 ];
479 //
480 for (int id0=fNPoints[0];id0--;) {
481 fArgsTmp[0] = fGrid[ fGridOffs[0]+id0 ];
482 EvalUsrFunction(); // compute function values at Chebyshev roots of 0-th dimension
483 fvals[id0] = fResTmp[dmOut];
40389866 484 float fr = (++ncals)/ncals2count;
485 if (fr-frac>=fracStep) {
486 frac = fr;
487 printf("\b\b\b\b\b\b\b\b\b\b\b");
488 printf("%05.2f%% Done",fr*100);
489 fflush(stdout);
490 }
491 //
0eea9d4d 492 }
493 int nc = CalcChebCoefs(fvals,fNPoints[0], tmpCoef1D, fPrec);
494 for (int id0=fNPoints[0];id0--;) tmpCoef2D[id1 + id0*fNPoints[1]] = tmpCoef1D[id0];
495 if (ncmax<nc) ncmax = nc; // max coefs to be kept in dim0 to guarantee needed precision
496 }
497 //
498 // once each 1d slice of given 2d slice is parametrized, parametrize the Cheb.coeffs
499 for (int id0=fNPoints[0];id0--;) {
500 CalcChebCoefs( tmpCoef2D+id0*fNPoints[1], fNPoints[1], tmpCoef1D, -1);
501 for (int id1=fNPoints[1];id1--;) tmpCoef3D[id2 + fNPoints[2]*(id1+id0*fNPoints[1])] = tmpCoef1D[id1];
502 }
503 }
504 //
505 // now fit the last dimensions Cheb.coefs
506 for (int id0=fNPoints[0];id0--;) {
507 for (int id1=fNPoints[1];id1--;) {
508 CalcChebCoefs( tmpCoef3D+ fNPoints[2]*(id1+id0*fNPoints[1]), fNPoints[2], tmpCoef1D, -1);
509 for (int id2=fNPoints[2];id2--;) tmpCoef3D[id2+ fNPoints[2]*(id1+id0*fNPoints[1])] = tmpCoef1D[id2]; // store on place
510 }
511 }
512 //
513 // now find 2D surface which separates significant coefficients of 3D matrix from nonsignificant ones (up to fPrec)
1d18ebe0 514 UShort_t *tmpCoefSurf = new UShort_t[ fNPoints[0]*fNPoints[1] ];
0eea9d4d 515 for (int id0=fNPoints[0];id0--;) for (int id1=fNPoints[1];id1--;) tmpCoefSurf[id1+id0*fNPoints[1]]=0;
516 Double_t resid = 0;
517 for (int id0=fNPoints[0];id0--;) {
518 for (int id1=fNPoints[1];id1--;) {
519 for (int id2=fNPoints[2];id2--;) {
520 int id = id2 + fNPoints[2]*(id1+id0*fNPoints[1]);
521 Float_t cfa = TMath::Abs(tmpCoef3D[id]);
5406439e 522 if (cfa < rTiny) {tmpCoef3D[id] = 0; continue;} // neglect coefs below the threshold
0eea9d4d 523 resid += cfa;
524 if (resid<fPrec) continue; // this coeff is negligible
525 // otherwise go back 1 step
526 resid -= cfa;
527 tmpCoefSurf[id1+id0*fNPoints[1]] = id2+1; // how many coefs to keep
528 break;
529 }
530 }
531 }
532 /*
533 printf("\n\nCoeffs\n");
534 int cnt = 0;
535 for (int id0=0;id0<fNPoints[0];id0++) {
536 for (int id1=0;id1<fNPoints[1];id1++) {
537 for (int id2=0;id2<fNPoints[2];id2++) {
538 printf("%2d%2d%2d %+.4e |",id0,id1,id2,tmpCoef3D[cnt++]);
539 }
540 printf("\n");
541 }
542 printf("\n");
543 }
544 */
545 // see if there are rows to reject, find max.significant column at each row
5406439e 546 int nRows = fNPoints[0];
1d18ebe0 547 UShort_t *tmpCols = new UShort_t[nRows];
0eea9d4d 548 for (int id0=fNPoints[0];id0--;) {
549 int id1 = fNPoints[1];
550 while (id1>0 && tmpCoefSurf[(id1-1)+id0*fNPoints[1]]==0) id1--;
551 tmpCols[id0] = id1;
552 }
553 // find max significant row
5406439e 554 for (int id0=nRows;id0--;) {if (tmpCols[id0]>0) break; nRows--;}
0eea9d4d 555 // find max significant column and fill the permanent storage for the max sigificant column of each row
5406439e 556 cheb->InitRows(nRows); // create needed arrays;
1d18ebe0 557 UShort_t *nColsAtRow = cheb->GetNColsAtRow();
558 UShort_t *colAtRowBg = cheb->GetColAtRowBg();
5406439e 559 int nCols = 0;
0eea9d4d 560 int NElemBound2D = 0;
5406439e 561 for (int id0=0;id0<nRows;id0++) {
562 nColsAtRow[id0] = tmpCols[id0]; // number of columns to store for this row
563 colAtRowBg[id0] = NElemBound2D; // begining of this row in 2D boundary surface
0eea9d4d 564 NElemBound2D += tmpCols[id0];
5406439e 565 if (nCols<nColsAtRow[id0]) nCols = nColsAtRow[id0];
0eea9d4d 566 }
5406439e 567 cheb->InitCols(nCols);
0eea9d4d 568 delete[] tmpCols;
569 //
570 // create the 2D matrix defining the boundary of significance for 3D coeffs.matrix
571 // and count the number of siginifacnt coefficients
572 //
573 cheb->InitElemBound2D(NElemBound2D);
1d18ebe0 574 UShort_t *coefBound2D0 = cheb->GetCoefBound2D0();
575 UShort_t *coefBound2D1 = cheb->GetCoefBound2D1();
0eea9d4d 576 fMaxCoefs = 0; // redefine number of coeffs
5406439e 577 for (int id0=0;id0<nRows;id0++) {
578 int nCLoc = nColsAtRow[id0];
579 int col0 = colAtRowBg[id0];
0eea9d4d 580 for (int id1=0;id1<nCLoc;id1++) {
5406439e 581 coefBound2D0[col0 + id1] = tmpCoefSurf[id1+id0*fNPoints[1]]; // number of coefs to store for 3-d dimension
582 coefBound2D1[col0 + id1] = fMaxCoefs;
583 fMaxCoefs += coefBound2D0[col0 + id1];
0eea9d4d 584 }
585 }
586 //
587 // create final compressed 3D matrix for significant coeffs
588 cheb->InitCoefs(fMaxCoefs);
5406439e 589 Float_t *coefs = cheb->GetCoefs();
0eea9d4d 590 int count = 0;
5406439e 591 for (int id0=0;id0<nRows;id0++) {
592 int ncLoc = nColsAtRow[id0];
593 int col0 = colAtRowBg[id0];
0eea9d4d 594 for (int id1=0;id1<ncLoc;id1++) {
5406439e 595 int ncf2 = coefBound2D0[col0 + id1];
0eea9d4d 596 for (int id2=0;id2<ncf2;id2++) {
5406439e 597 coefs[count++] = tmpCoef3D[id2 + fNPoints[2]*(id1+id0*fNPoints[1])];
0eea9d4d 598 }
599 }
600 }
601 /*
602 printf("\n\nNewSurf\n");
603 for (int id0=0;id0<fNPoints[0];id0++) {
604 for (int id1=0;id1<fNPoints[1];id1++) {
605 printf("(%2d %2d) %2d |",id0,id1,tmpCoefSurf[id1+id0*fNPoints[1]]);
606 }
607 printf("\n");
608 }
609 */
610 //
611 delete[] tmpCoefSurf;
612 delete[] tmpCoef1D;
613 delete[] tmpCoef2D;
614 delete[] tmpCoef3D;
615 delete[] fvals;
616 //
40389866 617 printf("\b\b\b\b\b\b\b\b\b\b\b\b");
618 printf("100.00%% Done\n");
0eea9d4d 619 return 1;
620}
621#endif
622
623//_______________________________________________
624#ifdef _INC_CREATION_ALICHEB3D_
625void AliCheb3D::SaveData(const char* outfile,Bool_t append) const
626{
627 // writes coefficients data to output text file, optionallt appending on the end of existing file
628 TString strf = outfile;
629 gSystem->ExpandPathName(strf);
630 FILE* stream = fopen(strf,append ? "a":"w");
631 SaveData(stream);
632 fclose(stream);
633 //
634}
635#endif
636
637//_______________________________________________
638#ifdef _INC_CREATION_ALICHEB3D_
639void AliCheb3D::SaveData(FILE* stream) const
640{
641 // writes coefficients data to existing output stream
642 //
643 fprintf(stream,"\n# These are automatically generated data for the Chebyshev interpolation of 3D->%dD function\n",fDimOut);
644 fprintf(stream,"#\nSTART %s\n",GetName());
645 fprintf(stream,"# Dimensionality of the output\n%d\n",fDimOut);
646 fprintf(stream,"# Interpolation abs. precision\n%+.8e\n",fPrec);
647 //
648 fprintf(stream,"# Lower boundaries of interpolation region\n");
649 for (int i=0;i<3;i++) fprintf(stream,"%+.8e\n",fBMin[i]);
650 fprintf(stream,"# Upper boundaries of interpolation region\n");
651 for (int i=0;i<3;i++) fprintf(stream,"%+.8e\n",fBMax[i]);
40389866 652 fprintf(stream,"# Parameterization for each output dimension follows:\n");
0eea9d4d 653 //
654 for (int i=0;i<fDimOut;i++) GetChebCalc(i)->SaveData(stream);
655 fprintf(stream,"#\nEND %s\n#\n",GetName());
656 //
657}
658#endif
659
660//_______________________________________________
661void AliCheb3D::LoadData(const char* inpFile)
662{
5406439e 663 // load coefficients data from txt file
664 //
0eea9d4d 665 TString strf = inpFile;
666 gSystem->ExpandPathName(strf);
667 FILE* stream = fopen(strf.Data(),"r");
668 LoadData(stream);
669 fclose(stream);
670 //
671}
672
673//_______________________________________________
674void AliCheb3D::LoadData(FILE* stream)
675{
5406439e 676 // load coefficients data from stream
677 //
0eea9d4d 678 if (!stream) {Error("LoadData","No stream provided.\nStop"); exit(1);}
679 TString buffs;
680 Clear();
681 AliCheb3DCalc::ReadLine(buffs,stream);
682 if (!buffs.BeginsWith("START")) {Error("LoadData","Expected: \"START <fit_name>\", found \"%s\"\nStop\n",buffs.Data());exit(1);}
683 SetName(buffs.Data()+buffs.First(' ')+1);
684 //
685 AliCheb3DCalc::ReadLine(buffs,stream); // N output dimensions
686 fDimOut = buffs.Atoi();
687 if (fDimOut<1) {Error("LoadData","Expected: '<number_of_output_dimensions>', found \"%s\"\nStop\n",buffs.Data());exit(1);}
688 //
689 SetDimOut(fDimOut);
690 //
691 AliCheb3DCalc::ReadLine(buffs,stream); // Interpolation abs. precision
692 fPrec = buffs.Atof();
693 if (fPrec<=0) {Error("LoadData","Expected: '<abs.precision>', found \"%s\"\nStop\n",buffs.Data());exit(1);}
694 //
695 for (int i=0;i<3;i++) { // Lower boundaries of interpolation region
696 AliCheb3DCalc::ReadLine(buffs,stream);
697 fBMin[i] = buffs.Atof();
698 }
699 for (int i=0;i<3;i++) { // Upper boundaries of interpolation region
700 AliCheb3DCalc::ReadLine(buffs,stream);
701 fBMax[i] = buffs.Atof();
702 }
703 PrepareBoundaries(fBMin,fBMax);
704 //
705 // data for each output dimension
706 for (int i=0;i<fDimOut;i++) GetChebCalc(i)->LoadData(stream);
707 //
708 // check end_of_data record
709 AliCheb3DCalc::ReadLine(buffs,stream);
710 if (!buffs.BeginsWith("END") || !buffs.Contains(GetName())) {
711 Error("LoadData","Expected \"END %s\", found \"%s\".\nStop\n",GetName(),buffs.Data());
712 exit(1);
713 }
714 //
715}
716
717//_______________________________________________
5406439e 718void AliCheb3D::SetDimOut(const int d)
0eea9d4d 719{
5406439e 720 // init output dimensions
0eea9d4d 721 fDimOut = d;
722 if (fResTmp) delete fResTmp;
40389866 723 fResTmp = new Float_t[fDimOut];
0eea9d4d 724 fChebCalc.Delete();
725 for (int i=0;i<d;i++) fChebCalc.AddAtAndExpand(new AliCheb3DCalc(),i);
726}
727
728//_______________________________________________
729void AliCheb3D::ShiftBound(int id,float dif)
730{
5406439e 731 // modify the bounds of the grid
732 //
0eea9d4d 733 if (id<0||id>2) {printf("Maximum 3 dimensions are supported\n"); return;}
734 fBMin[id] += dif;
735 fBMax[id] += dif;
736 fBOffset[id] += dif;
737}
738
739//_______________________________________________
740#ifdef _INC_CREATION_ALICHEB3D_
741TH1* AliCheb3D::TestRMS(int idim,int npoints,TH1* histo)
742{
743 // fills the difference between the original function and parameterization (for idim-th component of the output)
744 // to supplied histogram. Calculations are done in npoints random points.
745 // If the hostgram was not supplied, it will be created. It is up to the user to delete it!
746 if (!fUsrMacro) {
747 printf("No user function is set\n");
748 return 0;
749 }
750 if (!histo) histo = new TH1D(GetName(),"Control: Function - Parametrization",100,-2*fPrec,2*fPrec);
751 for (int ip=npoints;ip--;) {
752 gRandom->RndmArray(3,(Float_t *)fArgsTmp);
753 for (int i=3;i--;) fArgsTmp[i] = fBMin[i] + fArgsTmp[i]*(fBMax[i]-fBMin[i]);
754 EvalUsrFunction();
755 Float_t valFun = fResTmp[idim];
756 Eval(fArgsTmp,fResTmp);
757 Float_t valPar = fResTmp[idim];
758 histo->Fill(valFun - valPar);
759 }
760 return histo;
761 //
762}
763#endif
40389866 764
765//_______________________________________________
766#ifdef _INC_CREATION_ALICHEB3D_
1d18ebe0 767
768void AliCheb3D::EstimateNPoints(float Prec, int gridBC[3][3],Int_t npd1,Int_t npd2,Int_t npd3)
769{
770 // Estimate number of points to generate a training data
771 //
772 const int kScp = 9;
773 const float kScl[9] = {0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9};
774 //
775 const float sclDim[2] = {0.001,0.999};
776 const int compDim[3][2] = { {1,2}, {2,0}, {0,1} };
777 static float xyz[3];
778 Int_t npdTst[3] = {npd1,npd2,npd3};
779 //
780
781 for (int i=3;i--;)for (int j=3;j--;) gridBC[i][j] = -1;
782 //
783 for (int idim=0;idim<3;idim++) {
784 float dimMN = fBMin[idim] + sclDim[0]*(fBMax[idim]-fBMin[idim]);
785 float dimMX = fBMin[idim] + sclDim[1]*(fBMax[idim]-fBMin[idim]);
786 //
787 int id1 = compDim[idim][0]; // 1st fixed dim
788 int id2 = compDim[idim][1]; // 2nd fixed dim
789 for (int i1=0;i1<kScp;i1++) {
790 xyz[ id1 ] = fBMin[id1] + kScl[i1]*( fBMax[id1]-fBMin[id1] );
791 for (int i2=0;i2<kScp;i2++) {
792 xyz[ id2 ] = fBMin[id2] + kScl[i2]*( fBMax[id2]-fBMin[id2] );
793 int* npt = GetNCNeeded(xyz,idim, dimMN,dimMX, Prec, npdTst[idim]); // npoints for Bx,By,Bz
794 for (int ib=0;ib<3;ib++) if (npt[ib]>gridBC[ib][idim]) gridBC[ib][idim] = npt[ib];
795 }
796 }
797 }
798}
799
800/*
40389866 801void AliCheb3D::EstimateNPoints(float Prec, int gridBC[3][3])
802{
5406439e 803 // Estimate number of points to generate a training data
804 //
40389866 805 const float sclA[9] = {0.1, 0.5, 0.9, 0.1, 0.5, 0.9, 0.1, 0.5, 0.9} ;
806 const float sclB[9] = {0.1, 0.1, 0.1, 0.5, 0.5, 0.5, 0.9, 0.9, 0.9} ;
807 const float sclDim[2] = {0.01,0.99};
808 const int compDim[3][2] = { {1,2}, {2,0}, {0,1} };
809 static float xyz[3];
810 //
811 for (int i=3;i--;)for (int j=3;j--;) gridBC[i][j] = -1;
812 //
813 for (int idim=0;idim<3;idim++) {
814 float dimMN = fBMin[idim] + sclDim[0]*(fBMax[idim]-fBMin[idim]);
815 float dimMX = fBMin[idim] + sclDim[1]*(fBMax[idim]-fBMin[idim]);
816 //
817 for (int it=0;it<9;it++) { // test in 9 points
818 int id1 = compDim[idim][0]; // 1st fixed dim
819 int id2 = compDim[idim][1]; // 2nd fixed dim
820 xyz[ id1 ] = fBMin[id1] + sclA[it]*( fBMax[id1]-fBMin[id1] );
821 xyz[ id2 ] = fBMin[id2] + sclB[it]*( fBMax[id2]-fBMin[id2] );
822 //
823 int* npt = GetNCNeeded(xyz,idim, dimMN,dimMX, Prec); // npoints for Bx,By,Bz
2572efdf 824 for (int ib=0;ib<3;ib++) if (npt[ib]>gridBC[ib][idim]) gridBC[ib][idim] = npt[ib];//+2;
40389866 825 //
826 }
827 }
828}
829
830
831int* AliCheb3D::GetNCNeeded(float xyz[3],int DimVar, float mn,float mx, float prec)
832{
2572efdf 833 // estimate needed number of chebyshev coefs for given function description in DimVar dimension
40389866 834 // The values for two other dimensions must be set beforehand
835 //
836 static int curNC[3];
837 static int retNC[3];
838 const int kMaxPoint = 400;
839 float* gridVal = new float[3*kMaxPoint];
840 float* coefs = new float[3*kMaxPoint];
841 //
842 float scale = mx-mn;
843 float offs = mn + scale/2.0;
844 scale = 2./scale;
845 //
846 int curNP;
847 int maxNC=-1;
848 int maxNCPrev=-1;
849 for (int i=0;i<3;i++) retNC[i] = -1;
850 for (int i=0;i<3;i++) fArgsTmp[i] = xyz[i];
851 //
2572efdf 852 for (curNP=3; curNP<kMaxPoint; curNP+=3) {
40389866 853 maxNCPrev = maxNC;
854 //
855 for (int i=0;i<curNP;i++) { // get function values on Cheb. nodes
856 float x = TMath::Cos( TMath::Pi()*(i+0.5)/curNP );
857 fArgsTmp[DimVar] = x/scale+offs; // map to requested interval
858 EvalUsrFunction();
859 for (int ib=3;ib--;) gridVal[ib*kMaxPoint + i] = fResTmp[ib];
860 }
861 //
862 for (int ib=0;ib<3;ib++) {
863 curNC[ib] = AliCheb3D::CalcChebCoefs(&gridVal[ib*kMaxPoint], curNP, &coefs[ib*kMaxPoint],prec);
864 if (maxNC < curNC[ib]) maxNC = curNC[ib];
865 if (retNC[ib] < curNC[ib]) retNC[ib] = curNC[ib];
866 }
867 if ( (curNP-maxNC)>3 && (maxNC-maxNCPrev)<1 ) break;
868 maxNCPrev = maxNC;
869 //
870 }
871 delete[] gridVal;
872 delete[] coefs;
873 return retNC;
874 //
875}
1d18ebe0 876*/
877
878
879int* AliCheb3D::GetNCNeeded(float xyz[3],int DimVar, float mn,float mx, float prec, Int_t npCheck)
880{
881 // estimate needed number of chebyshev coefs for given function description in DimVar dimension
882 // The values for two other dimensions must be set beforehand
883 //
884 static int retNC[3];
885 static int npChLast = 0;
886 static float *gridVal=0,*coefs=0;
887 if (npCheck<3) npCheck = 3;
888 if (npChLast<npCheck) {
889 if (gridVal) delete[] gridVal;
890 if (coefs) delete[] coefs;
891 gridVal = new float[3*npCheck];
892 coefs = new float[3*npCheck];
893 npChLast = npCheck;
894 }
895 //
896 float scale = mx-mn;
897 float offs = mn + scale/2.0;
898 scale = 2./scale;
899 //
900 for (int i=0;i<3;i++) fArgsTmp[i] = xyz[i];
901 for (int i=0;i<npCheck;i++) {
902 fArgsTmp[DimVar] = TMath::Cos( TMath::Pi()*(i+0.5)/npCheck)/scale+offs; // map to requested interval
903 EvalUsrFunction();
904 for (int ib=3;ib--;) gridVal[ib*npCheck + i] = fResTmp[ib];
905 }
906 //
907 for (int ib=0;ib<3;ib++) retNC[ib] = AliCheb3D::CalcChebCoefs(&gridVal[ib*npCheck], npCheck, &coefs[ib*npCheck],prec);
908 return retNC;
909 //
910}
911
912
40389866 913#endif