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Typo fixed, and removing unused variable.
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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{
c8f37c50 40 for (int i=3;i--;) {
41 fBMin[i] = fBMax[i] = fBScale[i] = fBOffset[i] = 0;
42 fNPoints[i] = 0;
43 fGridOffs[i] = 0.;
44 }
0eea9d4d 45}
46
40389866 47//__________________________________________________________________________________________
48AliCheb3D::AliCheb3D(const AliCheb3D& src) :
49 TNamed(src),
50 fDimOut(src.fDimOut),
51 fPrec(src.fPrec),
52 fChebCalc(1),
53 fMaxCoefs(src.fMaxCoefs),
54 fResTmp(0),
55 fGrid(0),
56 fUsrFunName(src.fUsrFunName),
57 fUsrMacro(0)
0eea9d4d 58{
40389866 59 // read coefs from text file
60 for (int i=3;i--;) {
61 fBMin[i] = src.fBMin[i];
62 fBMax[i] = src.fBMax[i];
63 fBScale[i] = src.fBScale[i];
64 fBOffset[i] = src.fBOffset[i];
65 fNPoints[i] = src.fNPoints[i];
c8f37c50 66 fGridOffs[i] = src.fGridOffs[i];
40389866 67 }
68 for (int i=0;i<fDimOut;i++) {
69 AliCheb3DCalc* cbc = src.GetChebCalc(i);
70 if (cbc) fChebCalc.AddAtAndExpand(new AliCheb3DCalc(*cbc),i);
71 }
0eea9d4d 72}
73
40389866 74//__________________________________________________________________________________________
75AliCheb3D::AliCheb3D(const char* inpFile) :
76 fDimOut(0),
77 fPrec(0),
78 fChebCalc(1),
79 fMaxCoefs(0),
80 fResTmp(0),
81 fGrid(0),
82 fUsrFunName(""),
83 fUsrMacro(0)
0bc7b414 84{
40389866 85 // read coefs from text file
c8f37c50 86 for (int i=3;i--;) {
87 fBMin[i] = fBMax[i] = fBScale[i] = fBOffset[i] = 0;
88 fNPoints[i] = 0;
89 fGridOffs[i] = 0.;
90 }
40389866 91 LoadData(inpFile);
c437b1a5 92}
93
40389866 94//__________________________________________________________________________________________
95AliCheb3D::AliCheb3D(FILE* stream) :
96 fDimOut(0),
97 fPrec(0),
98 fChebCalc(1),
99 fMaxCoefs(0),
100 fResTmp(0),
101 fGrid(0),
102 fUsrFunName(""),
103 fUsrMacro(0)
c437b1a5 104{
40389866 105 // read coefs from stream
c8f37c50 106 for (int i=3;i--;) {
107 fBMin[i] = fBMax[i] = fBScale[i] = fBOffset[i] = 0;
108 fNPoints[i] = 0;
109 fGridOffs[i] = 0.;
110 }
40389866 111 LoadData(stream);
0bc7b414 112}
0eea9d4d 113
114//__________________________________________________________________________________________
115#ifdef _INC_CREATION_ALICHEB3D_
40389866 116AliCheb3D::AliCheb3D(const char* funName, int DimOut, Float_t *bmin,Float_t *bmax, Int_t *npoints, Float_t prec) :
117 TNamed(funName,funName),
118 fDimOut(0),
119 fPrec(TMath::Max(1.E-12f,prec)),
120 fChebCalc(1),
121 fMaxCoefs(0),
122 fResTmp(0),
123 fGrid(0),
124 fUsrFunName("") ,
125 fUsrMacro(0)
0eea9d4d 126{
127 // Construct the parameterization for the function
128 // funName : name of the file containing the function: void funName(Float_t * inp,Float_t * out)
129 // DimOut : dimension of the vector computed by the user function
130 // bmin : array of 3 elements with the lower boundaries of the region where the function is defined
131 // bmax : array of 3 elements with the upper boundaries of the region where the function is defined
132 // npoints : array of 3 elements with the number of points to compute in each of 3 dimension
133 // prec : max allowed absolute difference between the user function and computed parameterization on the requested grid
134 //
0eea9d4d 135 if (DimOut<1) {Error("AliCheb3D","Requested output dimension is %d\nStop\n",fDimOut); exit(1);}
c8f37c50 136 for (int i=3;i--;) {
137 fBMin[i] = fBMax[i] = fBScale[i] = fBOffset[i] = 0;
138 fNPoints[i] = 0;
139 fGridOffs[i] = 0.;
140 }
0eea9d4d 141 SetDimOut(DimOut);
142 PrepareBoundaries(bmin,bmax);
143 DefineGrid(npoints);
144 SetUsrFunction(funName);
145 ChebFit();
146 //
147}
148#endif
149
150//__________________________________________________________________________________________
151#ifdef _INC_CREATION_ALICHEB3D_
40389866 152AliCheb3D::AliCheb3D(void (*ptr)(float*,float*), int DimOut, Float_t *bmin,Float_t *bmax, Int_t *npoints, Float_t prec) :
153 fDimOut(0),
154 fPrec(TMath::Max(1.E-12f,prec)),
155 fChebCalc(1),
156 fMaxCoefs(0),
157 fResTmp(0),
158 fGrid(0),
159 fUsrFunName(""),
160 fUsrMacro(0)
0eea9d4d 161{
162 // Construct the parameterization for the function
163 // ptr : pointer on the function: void fun(Float_t * inp,Float_t * out)
164 // DimOut : dimension of the vector computed by the user function
165 // bmin : array of 3 elements with the lower boundaries of the region where the function is defined
166 // bmax : array of 3 elements with the upper boundaries of the region where the function is defined
167 // npoints : array of 3 elements with the number of points to compute in each of 3 dimension
168 // prec : max allowed absolute difference between the user function and computed parameterization on the requested grid
169 //
0eea9d4d 170 if (DimOut<1) {Error("AliCheb3D","Requested output dimension is %d\nStop\n",fDimOut); exit(1);}
c8f37c50 171 if (DimOut<1) {Error("AliCheb3D","Requested output dimension is %d\nStop\n",fDimOut); exit(1);}
172 for (int i=3;i--;) {
173 fBMin[i] = fBMax[i] = fBScale[i] = fBOffset[i] = 0;
174 fNPoints[i] = 0;
175 fGridOffs[i] = 0.;
176 }
0eea9d4d 177 SetDimOut(DimOut);
178 PrepareBoundaries(bmin,bmax);
179 DefineGrid(npoints);
180 SetUsrFunction(ptr);
181 ChebFit();
182 //
183}
184#endif
185
40389866 186//__________________________________________________________________________________________
187#ifdef _INC_CREATION_ALICHEB3D_
188AliCheb3D::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) :
189 fDimOut(0),
190 fPrec(TMath::Max(1.E-12f,prec)),
191 fChebCalc(1),
192 fMaxCoefs(0),
193 fResTmp(0),
194 fGrid(0),
195 fUsrFunName(""),
196 fUsrMacro(0)
197{
198 // Construct very economic parameterization for the function
199 // ptr : pointer on the function: void fun(Float_t * inp,Float_t * out)
200 // DimOut : dimension of the vector computed by the user function
201 // bmin : array of 3 elements with the lower boundaries of the region where the function is defined
202 // bmax : array of 3 elements with the upper boundaries of the region where the function is defined
203 // npX : array of 3 elements with the number of points to compute in each dimension for 1st component
204 // npY : array of 3 elements with the number of points to compute in each dimension for 2nd component
205 // npZ : array of 3 elements with the number of points to compute in each dimension for 3d component
206 // prec : max allowed absolute difference between the user function and computed parameterization on the requested grid
207 //
208 if (DimOut<1) {Error("AliCheb3D","Requested output dimension is %d\nStop\n",fDimOut); exit(1);}
c8f37c50 209 if (DimOut<1) {Error("AliCheb3D","Requested output dimension is %d\nStop\n",fDimOut); exit(1);}
210 for (int i=3;i--;) {
211 fBMin[i] = fBMax[i] = fBScale[i] = fBOffset[i] = 0;
212 fNPoints[i] = 0;
213 fGridOffs[i] = 0.;
214 }
40389866 215 SetDimOut(DimOut);
216 PrepareBoundaries(bmin,bmax);
217 SetUsrFunction(ptr);
218 //
219 DefineGrid(npX);
220 ChebFit(0);
221 DefineGrid(npY);
222 ChebFit(1);
223 DefineGrid(npZ);
224 ChebFit(2);
225 //
226}
227#endif
228
229
230//__________________________________________________________________________________________
231#ifdef _INC_CREATION_ALICHEB3D_
1d18ebe0 232AliCheb3D::AliCheb3D(void (*ptr)(float*,float*), int DimOut, Float_t *bmin,Float_t *bmax, Float_t prec, Bool_t run) :
40389866 233 fDimOut(0),
234 fPrec(TMath::Max(1.E-12f,prec)),
235 fChebCalc(1),
236 fMaxCoefs(0),
237 fResTmp(0),
238 fGrid(0),
239 fUsrFunName(""),
240 fUsrMacro(0)
241{
242 // Construct very economic parameterization for the function with automatic calculation of the root's grid
243 // ptr : pointer on the function: void fun(Float_t * inp,Float_t * out)
244 // DimOut : dimension of the vector computed by the user function
245 // bmin : array of 3 elements with the lower boundaries of the region where the function is defined
246 // bmax : array of 3 elements with the upper boundaries of the region where the function is defined
247 // prec : max allowed absolute difference between the user function and computed parameterization on the requested grid
248 //
249 if (DimOut!=3) {Error("AliCheb3D","This constructor works only for 3D fits, %dD fit was requested\n",fDimOut); exit(1);}
c8f37c50 250 if (DimOut<1) {Error("AliCheb3D","Requested output dimension is %d\nStop\n",fDimOut); exit(1);}
251 for (int i=3;i--;) {
252 fBMin[i] = fBMax[i] = fBScale[i] = fBOffset[i] = 0;
253 fNPoints[i] = 0;
254 fGridOffs[i] = 0.;
255 }
40389866 256 SetDimOut(DimOut);
257 PrepareBoundaries(bmin,bmax);
258 SetUsrFunction(ptr);
259 //
1d18ebe0 260 if (run) {
261 int gridNC[3][3];
262 EstimateNPoints(prec,gridNC);
263 DefineGrid(gridNC[0]);
264 ChebFit(0);
265 DefineGrid(gridNC[1]);
266 ChebFit(1);
267 DefineGrid(gridNC[2]);
268 ChebFit(2);
269 }
40389866 270 //
271}
272#endif
273
274
275//__________________________________________________________________________________________
276AliCheb3D& AliCheb3D::operator=(const AliCheb3D& rhs)
277{
5406439e 278 // assignment operator
279 //
40389866 280 if (this != &rhs) {
281 Clear();
282 fDimOut = rhs.fDimOut;
283 fPrec = rhs.fPrec;
284 fMaxCoefs = rhs.fMaxCoefs;
285 fUsrFunName = rhs.fUsrFunName;
286 fUsrMacro = 0;
287 for (int i=3;i--;) {
288 fBMin[i] = rhs.fBMin[i];
289 fBMax[i] = rhs.fBMax[i];
290 fBScale[i] = rhs.fBScale[i];
291 fBOffset[i] = rhs.fBOffset[i];
292 fNPoints[i] = rhs.fNPoints[i];
293 }
294 for (int i=0;i<fDimOut;i++) {
295 AliCheb3DCalc* cbc = rhs.GetChebCalc(i);
296 if (cbc) fChebCalc.AddAtAndExpand(new AliCheb3DCalc(*cbc),i);
297 }
298 }
299 return *this;
300 //
301}
0bc7b414 302
0eea9d4d 303//__________________________________________________________________________________________
5406439e 304void AliCheb3D::Clear(const Option_t*)
0eea9d4d 305{
5406439e 306 // clear all dynamic structures
307 //
0eea9d4d 308 if (fResTmp) { delete[] fResTmp; fResTmp = 0; }
309 if (fGrid) { delete[] fGrid; fGrid = 0; }
310 if (fUsrMacro) { delete fUsrMacro; fUsrMacro = 0;}
d8d3669f 311 fChebCalc.SetOwner(kTRUE);
0eea9d4d 312 fChebCalc.Delete();
313 //
314}
315
316//__________________________________________________________________________________________
5406439e 317void AliCheb3D::Print(const Option_t* opt) const
0eea9d4d 318{
5406439e 319 // print info
320 //
0eea9d4d 321 printf("%s: Chebyshev parameterization for 3D->%dD function. Precision: %e\n",GetName(),fDimOut,fPrec);
322 printf("Region of validity: [%+.5e:%+.5e] [%+.5e:%+.5e] [%+.5e:%+.5e]\n",fBMin[0],fBMax[0],fBMin[1],fBMax[1],fBMin[2],fBMax[2]);
323 TString opts = opt; opts.ToLower();
324 if (opts.Contains("l")) for (int i=0;i<fDimOut;i++) {printf("Output dimension %d:\n",i+1); GetChebCalc(i)->Print();}
325 //
326}
327
0eea9d4d 328//__________________________________________________________________________________________
5406439e 329void AliCheb3D::PrepareBoundaries(const Float_t *bmin, const Float_t *bmax)
0eea9d4d 330{
331 // Set and check boundaries defined by user, prepare coefficients for their conversion to [-1:1] interval
332 //
333 for (int i=3;i--;) {
334 fBMin[i] = bmin[i];
335 fBMax[i] = bmax[i];
336 fBScale[i] = bmax[i]-bmin[i];
337 if (fBScale[i]<=0) {
338 Error("PrepareBoundaries","Boundaries for %d-th dimension are not increasing: %+.4e %+.4e\nStop\n",i,fBMin[i],fBMax[i]);
339 exit(1);
340 }
341 fBOffset[i] = bmin[i] + fBScale[i]/2.0;
342 fBScale[i] = 2./fBScale[i];
343 }
344 //
345}
346
40389866 347
0eea9d4d 348//__________________________________________________________________________________________
349#ifdef _INC_CREATION_ALICHEB3D_
40389866 350
351// Pointer on user function (faster altrnative to TMethodCall)
352void (*gUsrFunAliCheb3D) (float* ,float* );
353
354void AliCheb3D::EvalUsrFunction()
355{
356 // call user supplied function
357 if (gUsrFunAliCheb3D) gUsrFunAliCheb3D(fArgsTmp,fResTmp);
358 else fUsrMacro->Execute();
359}
360
0eea9d4d 361void AliCheb3D::SetUsrFunction(const char* name)
362{
363 // load user macro with function definition and compile it
364 gUsrFunAliCheb3D = 0;
365 fUsrFunName = name;
366 gSystem->ExpandPathName(fUsrFunName);
367 if (fUsrMacro) delete fUsrMacro;
368 TString tmpst = fUsrFunName;
369 tmpst += "+"; // prepare filename to compile
370 if (gROOT->LoadMacro(tmpst.Data())) {Error("SetUsrFunction","Failed to load user function from %s\nStop\n",name); exit(1);}
371 fUsrMacro = new TMethodCall();
372 tmpst = tmpst.Data() + tmpst.Last('/')+1; //Strip away any path preceding the macro file name
373 int dot = tmpst.Last('.');
374 if (dot>0) tmpst.Resize(dot);
375 fUsrMacro->InitWithPrototype(tmpst.Data(),"Float_t *,Float_t *");
376 long args[2];
377 args[0] = (long)fArgsTmp;
378 args[1] = (long)fResTmp;
379 fUsrMacro->SetParamPtrs(args);
380 //
381}
382#endif
383
384//__________________________________________________________________________________________
385#ifdef _INC_CREATION_ALICHEB3D_
386void AliCheb3D::SetUsrFunction(void (*ptr)(float*,float*))
387{
5406439e 388 // assign user training function
389 //
0eea9d4d 390 if (fUsrMacro) delete fUsrMacro;
391 fUsrMacro = 0;
392 fUsrFunName = "";
393 gUsrFunAliCheb3D = ptr;
394}
395#endif
396
397//__________________________________________________________________________________________
398#ifdef _INC_CREATION_ALICHEB3D_
da7cd221 399void AliCheb3D::EvalUsrFunction(const Float_t *x, Float_t *res)
5406439e 400{
401 // evaluate user function value
402 //
0eea9d4d 403 for (int i=3;i--;) fArgsTmp[i] = x[i];
404 if (gUsrFunAliCheb3D) gUsrFunAliCheb3D(fArgsTmp,fResTmp);
405 else fUsrMacro->Execute();
406 for (int i=fDimOut;i--;) res[i] = fResTmp[i];
407}
408#endif
409
410//__________________________________________________________________________________________
411#ifdef _INC_CREATION_ALICHEB3D_
5406439e 412Int_t AliCheb3D::CalcChebCoefs(const Float_t *funval,int np, Float_t *outCoefs, Float_t prec)
0eea9d4d 413{
414 // Calculate Chebyshev coeffs using precomputed function values at np roots.
415 // If prec>0, estimate the highest coeff number providing the needed precision
416 //
417 double sm; // do summations in double to minimize the roundoff error
418 for (int ic=0;ic<np;ic++) { // compute coeffs
419 sm = 0;
420 for (int ir=0;ir<np;ir++) {
421 float rt = TMath::Cos( ic*(ir+0.5)*TMath::Pi()/np);
422 sm += funval[ir]*rt;
423 }
424 outCoefs[ic] = Float_t( sm * ((ic==0) ? 1./np : 2./np) );
425 }
426 //
427 if (prec<=0) return np;
428 //
429 sm = 0;
430 int cfMax = 0;
431 for (cfMax=np;cfMax--;) {
432 sm += TMath::Abs(outCoefs[cfMax]);
433 if (sm>=prec) break;
434 }
435 if (++cfMax==0) cfMax=1;
436 return cfMax;
437 //
438}
439#endif
440
441//__________________________________________________________________________________________
442#ifdef _INC_CREATION_ALICHEB3D_
443void AliCheb3D::DefineGrid(Int_t* npoints)
444{
445 // prepare the grid of Chebyshev roots in each dimension
446 const int kMinPoints = 1;
447 int ntot = 0;
448 fMaxCoefs = 1;
449 for (int id=3;id--;) {
450 fNPoints[id] = npoints[id];
451 if (fNPoints[id]<kMinPoints) {
40389866 452 Error("DefineGrid","at %d-th dimension %d point is requested, at least %d is needed\nStop\n",id,fNPoints[id],kMinPoints);
0eea9d4d 453 exit(1);
454 }
455 ntot += fNPoints[id];
456 fMaxCoefs *= fNPoints[id];
457 }
40389866 458 printf("Computing Chebyshev nodes on [%2d/%2d/%2d] grid\n",npoints[0],npoints[1],npoints[2]);
459 if (fGrid) delete[] fGrid;
0eea9d4d 460 fGrid = new Float_t [ntot];
461 //
462 int curp = 0;
463 for (int id=3;id--;) {
464 int np = fNPoints[id];
465 fGridOffs[id] = curp;
466 for (int ip=0;ip<np;ip++) {
467 Float_t x = TMath::Cos( TMath::Pi()*(ip+0.5)/np );
468 fGrid[curp++] = MapToExternal(x,id);
469 }
470 }
471 //
472}
473#endif
474
475//__________________________________________________________________________________________
476#ifdef _INC_CREATION_ALICHEB3D_
477Int_t AliCheb3D::ChebFit()
478{
479 // prepare parameterization for all output dimensions
480 int ir=0;
481 for (int i=fDimOut;i--;) ir+=ChebFit(i);
482 return ir;
483}
484#endif
485
486//__________________________________________________________________________________________
487#ifdef _INC_CREATION_ALICHEB3D_
488Int_t AliCheb3D::ChebFit(int dmOut)
489{
490 // prepare paramaterization of 3D function for dmOut-th dimension
491 int maxDim = 0;
492 for (int i=0;i<3;i++) if (maxDim<fNPoints[i]) maxDim = fNPoints[i];
493 Float_t *fvals = new Float_t [ fNPoints[0] ];
494 Float_t *tmpCoef3D = new Float_t [ fNPoints[0]*fNPoints[1]*fNPoints[2] ];
495 Float_t *tmpCoef2D = new Float_t [ fNPoints[0]*fNPoints[1] ];
496 Float_t *tmpCoef1D = new Float_t [ maxDim ];
497 //
1d18ebe0 498 Float_t rTiny = 0.1*fPrec/Float_t(maxDim); // neglect coefficient below this threshold
0eea9d4d 499 //
500 // 1D Cheb.fit for 0-th dimension at current steps of remaining dimensions
501 int ncmax = 0;
502 //
40389866 503 printf("Dim%d : 00.00%% Done",dmOut);fflush(stdout);
0eea9d4d 504 AliCheb3DCalc* cheb = GetChebCalc(dmOut);
505 //
40389866 506 float ncals2count = fNPoints[2]*fNPoints[1]*fNPoints[0];
507 float ncals = 0;
508 float frac = 0;
509 float fracStep = 0.001;
510 //
0eea9d4d 511 for (int id2=fNPoints[2];id2--;) {
512 fArgsTmp[2] = fGrid[ fGridOffs[2]+id2 ];
513 //
514 for (int id1=fNPoints[1];id1--;) {
515 fArgsTmp[1] = fGrid[ fGridOffs[1]+id1 ];
516 //
517 for (int id0=fNPoints[0];id0--;) {
518 fArgsTmp[0] = fGrid[ fGridOffs[0]+id0 ];
519 EvalUsrFunction(); // compute function values at Chebyshev roots of 0-th dimension
520 fvals[id0] = fResTmp[dmOut];
40389866 521 float fr = (++ncals)/ncals2count;
522 if (fr-frac>=fracStep) {
523 frac = fr;
524 printf("\b\b\b\b\b\b\b\b\b\b\b");
525 printf("%05.2f%% Done",fr*100);
526 fflush(stdout);
527 }
528 //
0eea9d4d 529 }
530 int nc = CalcChebCoefs(fvals,fNPoints[0], tmpCoef1D, fPrec);
531 for (int id0=fNPoints[0];id0--;) tmpCoef2D[id1 + id0*fNPoints[1]] = tmpCoef1D[id0];
532 if (ncmax<nc) ncmax = nc; // max coefs to be kept in dim0 to guarantee needed precision
533 }
534 //
535 // once each 1d slice of given 2d slice is parametrized, parametrize the Cheb.coeffs
536 for (int id0=fNPoints[0];id0--;) {
537 CalcChebCoefs( tmpCoef2D+id0*fNPoints[1], fNPoints[1], tmpCoef1D, -1);
538 for (int id1=fNPoints[1];id1--;) tmpCoef3D[id2 + fNPoints[2]*(id1+id0*fNPoints[1])] = tmpCoef1D[id1];
539 }
540 }
541 //
542 // now fit the last dimensions Cheb.coefs
543 for (int id0=fNPoints[0];id0--;) {
544 for (int id1=fNPoints[1];id1--;) {
545 CalcChebCoefs( tmpCoef3D+ fNPoints[2]*(id1+id0*fNPoints[1]), fNPoints[2], tmpCoef1D, -1);
546 for (int id2=fNPoints[2];id2--;) tmpCoef3D[id2+ fNPoints[2]*(id1+id0*fNPoints[1])] = tmpCoef1D[id2]; // store on place
547 }
548 }
549 //
550 // now find 2D surface which separates significant coefficients of 3D matrix from nonsignificant ones (up to fPrec)
1d18ebe0 551 UShort_t *tmpCoefSurf = new UShort_t[ fNPoints[0]*fNPoints[1] ];
0eea9d4d 552 for (int id0=fNPoints[0];id0--;) for (int id1=fNPoints[1];id1--;) tmpCoefSurf[id1+id0*fNPoints[1]]=0;
553 Double_t resid = 0;
554 for (int id0=fNPoints[0];id0--;) {
555 for (int id1=fNPoints[1];id1--;) {
556 for (int id2=fNPoints[2];id2--;) {
557 int id = id2 + fNPoints[2]*(id1+id0*fNPoints[1]);
558 Float_t cfa = TMath::Abs(tmpCoef3D[id]);
5406439e 559 if (cfa < rTiny) {tmpCoef3D[id] = 0; continue;} // neglect coefs below the threshold
0eea9d4d 560 resid += cfa;
561 if (resid<fPrec) continue; // this coeff is negligible
562 // otherwise go back 1 step
563 resid -= cfa;
564 tmpCoefSurf[id1+id0*fNPoints[1]] = id2+1; // how many coefs to keep
565 break;
566 }
567 }
568 }
569 /*
570 printf("\n\nCoeffs\n");
571 int cnt = 0;
572 for (int id0=0;id0<fNPoints[0];id0++) {
573 for (int id1=0;id1<fNPoints[1];id1++) {
574 for (int id2=0;id2<fNPoints[2];id2++) {
575 printf("%2d%2d%2d %+.4e |",id0,id1,id2,tmpCoef3D[cnt++]);
576 }
577 printf("\n");
578 }
579 printf("\n");
580 }
581 */
582 // see if there are rows to reject, find max.significant column at each row
5406439e 583 int nRows = fNPoints[0];
1d18ebe0 584 UShort_t *tmpCols = new UShort_t[nRows];
0eea9d4d 585 for (int id0=fNPoints[0];id0--;) {
586 int id1 = fNPoints[1];
587 while (id1>0 && tmpCoefSurf[(id1-1)+id0*fNPoints[1]]==0) id1--;
588 tmpCols[id0] = id1;
589 }
590 // find max significant row
5406439e 591 for (int id0=nRows;id0--;) {if (tmpCols[id0]>0) break; nRows--;}
0eea9d4d 592 // find max significant column and fill the permanent storage for the max sigificant column of each row
5406439e 593 cheb->InitRows(nRows); // create needed arrays;
1d18ebe0 594 UShort_t *nColsAtRow = cheb->GetNColsAtRow();
595 UShort_t *colAtRowBg = cheb->GetColAtRowBg();
5406439e 596 int nCols = 0;
0eea9d4d 597 int NElemBound2D = 0;
5406439e 598 for (int id0=0;id0<nRows;id0++) {
599 nColsAtRow[id0] = tmpCols[id0]; // number of columns to store for this row
600 colAtRowBg[id0] = NElemBound2D; // begining of this row in 2D boundary surface
0eea9d4d 601 NElemBound2D += tmpCols[id0];
5406439e 602 if (nCols<nColsAtRow[id0]) nCols = nColsAtRow[id0];
0eea9d4d 603 }
5406439e 604 cheb->InitCols(nCols);
0eea9d4d 605 delete[] tmpCols;
606 //
607 // create the 2D matrix defining the boundary of significance for 3D coeffs.matrix
608 // and count the number of siginifacnt coefficients
609 //
610 cheb->InitElemBound2D(NElemBound2D);
1d18ebe0 611 UShort_t *coefBound2D0 = cheb->GetCoefBound2D0();
612 UShort_t *coefBound2D1 = cheb->GetCoefBound2D1();
0eea9d4d 613 fMaxCoefs = 0; // redefine number of coeffs
5406439e 614 for (int id0=0;id0<nRows;id0++) {
615 int nCLoc = nColsAtRow[id0];
616 int col0 = colAtRowBg[id0];
0eea9d4d 617 for (int id1=0;id1<nCLoc;id1++) {
5406439e 618 coefBound2D0[col0 + id1] = tmpCoefSurf[id1+id0*fNPoints[1]]; // number of coefs to store for 3-d dimension
619 coefBound2D1[col0 + id1] = fMaxCoefs;
620 fMaxCoefs += coefBound2D0[col0 + id1];
0eea9d4d 621 }
622 }
623 //
624 // create final compressed 3D matrix for significant coeffs
625 cheb->InitCoefs(fMaxCoefs);
5406439e 626 Float_t *coefs = cheb->GetCoefs();
0eea9d4d 627 int count = 0;
5406439e 628 for (int id0=0;id0<nRows;id0++) {
629 int ncLoc = nColsAtRow[id0];
630 int col0 = colAtRowBg[id0];
0eea9d4d 631 for (int id1=0;id1<ncLoc;id1++) {
5406439e 632 int ncf2 = coefBound2D0[col0 + id1];
0eea9d4d 633 for (int id2=0;id2<ncf2;id2++) {
5406439e 634 coefs[count++] = tmpCoef3D[id2 + fNPoints[2]*(id1+id0*fNPoints[1])];
0eea9d4d 635 }
636 }
637 }
638 /*
639 printf("\n\nNewSurf\n");
640 for (int id0=0;id0<fNPoints[0];id0++) {
641 for (int id1=0;id1<fNPoints[1];id1++) {
642 printf("(%2d %2d) %2d |",id0,id1,tmpCoefSurf[id1+id0*fNPoints[1]]);
643 }
644 printf("\n");
645 }
646 */
647 //
648 delete[] tmpCoefSurf;
649 delete[] tmpCoef1D;
650 delete[] tmpCoef2D;
651 delete[] tmpCoef3D;
652 delete[] fvals;
653 //
40389866 654 printf("\b\b\b\b\b\b\b\b\b\b\b\b");
655 printf("100.00%% Done\n");
0eea9d4d 656 return 1;
657}
658#endif
659
660//_______________________________________________
661#ifdef _INC_CREATION_ALICHEB3D_
662void AliCheb3D::SaveData(const char* outfile,Bool_t append) const
663{
664 // writes coefficients data to output text file, optionallt appending on the end of existing file
665 TString strf = outfile;
666 gSystem->ExpandPathName(strf);
667 FILE* stream = fopen(strf,append ? "a":"w");
668 SaveData(stream);
669 fclose(stream);
670 //
671}
672#endif
673
674//_______________________________________________
675#ifdef _INC_CREATION_ALICHEB3D_
676void AliCheb3D::SaveData(FILE* stream) const
677{
678 // writes coefficients data to existing output stream
679 //
680 fprintf(stream,"\n# These are automatically generated data for the Chebyshev interpolation of 3D->%dD function\n",fDimOut);
681 fprintf(stream,"#\nSTART %s\n",GetName());
682 fprintf(stream,"# Dimensionality of the output\n%d\n",fDimOut);
683 fprintf(stream,"# Interpolation abs. precision\n%+.8e\n",fPrec);
684 //
685 fprintf(stream,"# Lower boundaries of interpolation region\n");
686 for (int i=0;i<3;i++) fprintf(stream,"%+.8e\n",fBMin[i]);
687 fprintf(stream,"# Upper boundaries of interpolation region\n");
688 for (int i=0;i<3;i++) fprintf(stream,"%+.8e\n",fBMax[i]);
40389866 689 fprintf(stream,"# Parameterization for each output dimension follows:\n");
0eea9d4d 690 //
691 for (int i=0;i<fDimOut;i++) GetChebCalc(i)->SaveData(stream);
692 fprintf(stream,"#\nEND %s\n#\n",GetName());
693 //
694}
695#endif
696
7f42fc51 697//__________________________________________________________________________________________
698#ifdef _INC_CREATION_ALICHEB3D_
699void AliCheb3D::InvertSign()
700{
701 // invert the sign of all parameterizations
702 for (int i=fDimOut;i--;) {
703 AliCheb3DCalc* par = GetChebCalc(i);
704 int ncf = par->GetNCoefs();
705 float *coefs = par->GetCoefs();
706 for (int j=ncf;j--;) coefs[j] = -coefs[j];
707 }
708}
709#endif
710
711
0eea9d4d 712//_______________________________________________
713void AliCheb3D::LoadData(const char* inpFile)
714{
5406439e 715 // load coefficients data from txt file
716 //
0eea9d4d 717 TString strf = inpFile;
718 gSystem->ExpandPathName(strf);
719 FILE* stream = fopen(strf.Data(),"r");
720 LoadData(stream);
721 fclose(stream);
722 //
723}
724
725//_______________________________________________
726void AliCheb3D::LoadData(FILE* stream)
727{
5406439e 728 // load coefficients data from stream
729 //
0eea9d4d 730 if (!stream) {Error("LoadData","No stream provided.\nStop"); exit(1);}
731 TString buffs;
732 Clear();
733 AliCheb3DCalc::ReadLine(buffs,stream);
734 if (!buffs.BeginsWith("START")) {Error("LoadData","Expected: \"START <fit_name>\", found \"%s\"\nStop\n",buffs.Data());exit(1);}
735 SetName(buffs.Data()+buffs.First(' ')+1);
736 //
737 AliCheb3DCalc::ReadLine(buffs,stream); // N output dimensions
738 fDimOut = buffs.Atoi();
739 if (fDimOut<1) {Error("LoadData","Expected: '<number_of_output_dimensions>', found \"%s\"\nStop\n",buffs.Data());exit(1);}
740 //
741 SetDimOut(fDimOut);
742 //
743 AliCheb3DCalc::ReadLine(buffs,stream); // Interpolation abs. precision
744 fPrec = buffs.Atof();
745 if (fPrec<=0) {Error("LoadData","Expected: '<abs.precision>', found \"%s\"\nStop\n",buffs.Data());exit(1);}
746 //
747 for (int i=0;i<3;i++) { // Lower boundaries of interpolation region
748 AliCheb3DCalc::ReadLine(buffs,stream);
749 fBMin[i] = buffs.Atof();
750 }
751 for (int i=0;i<3;i++) { // Upper boundaries of interpolation region
752 AliCheb3DCalc::ReadLine(buffs,stream);
753 fBMax[i] = buffs.Atof();
754 }
755 PrepareBoundaries(fBMin,fBMax);
756 //
757 // data for each output dimension
758 for (int i=0;i<fDimOut;i++) GetChebCalc(i)->LoadData(stream);
759 //
760 // check end_of_data record
761 AliCheb3DCalc::ReadLine(buffs,stream);
762 if (!buffs.BeginsWith("END") || !buffs.Contains(GetName())) {
763 Error("LoadData","Expected \"END %s\", found \"%s\".\nStop\n",GetName(),buffs.Data());
764 exit(1);
765 }
766 //
767}
768
769//_______________________________________________
5406439e 770void AliCheb3D::SetDimOut(const int d)
0eea9d4d 771{
5406439e 772 // init output dimensions
0eea9d4d 773 fDimOut = d;
774 if (fResTmp) delete fResTmp;
40389866 775 fResTmp = new Float_t[fDimOut];
0eea9d4d 776 fChebCalc.Delete();
777 for (int i=0;i<d;i++) fChebCalc.AddAtAndExpand(new AliCheb3DCalc(),i);
778}
779
780//_______________________________________________
781void AliCheb3D::ShiftBound(int id,float dif)
782{
5406439e 783 // modify the bounds of the grid
784 //
0eea9d4d 785 if (id<0||id>2) {printf("Maximum 3 dimensions are supported\n"); return;}
786 fBMin[id] += dif;
787 fBMax[id] += dif;
788 fBOffset[id] += dif;
789}
790
791//_______________________________________________
792#ifdef _INC_CREATION_ALICHEB3D_
793TH1* AliCheb3D::TestRMS(int idim,int npoints,TH1* histo)
794{
795 // fills the difference between the original function and parameterization (for idim-th component of the output)
796 // to supplied histogram. Calculations are done in npoints random points.
797 // If the hostgram was not supplied, it will be created. It is up to the user to delete it!
798 if (!fUsrMacro) {
799 printf("No user function is set\n");
800 return 0;
801 }
802 if (!histo) histo = new TH1D(GetName(),"Control: Function - Parametrization",100,-2*fPrec,2*fPrec);
803 for (int ip=npoints;ip--;) {
804 gRandom->RndmArray(3,(Float_t *)fArgsTmp);
805 for (int i=3;i--;) fArgsTmp[i] = fBMin[i] + fArgsTmp[i]*(fBMax[i]-fBMin[i]);
806 EvalUsrFunction();
807 Float_t valFun = fResTmp[idim];
808 Eval(fArgsTmp,fResTmp);
809 Float_t valPar = fResTmp[idim];
810 histo->Fill(valFun - valPar);
811 }
812 return histo;
813 //
814}
815#endif
40389866 816
817//_______________________________________________
818#ifdef _INC_CREATION_ALICHEB3D_
1d18ebe0 819
820void AliCheb3D::EstimateNPoints(float Prec, int gridBC[3][3],Int_t npd1,Int_t npd2,Int_t npd3)
821{
822 // Estimate number of points to generate a training data
823 //
824 const int kScp = 9;
825 const float kScl[9] = {0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9};
826 //
827 const float sclDim[2] = {0.001,0.999};
828 const int compDim[3][2] = { {1,2}, {2,0}, {0,1} };
829 static float xyz[3];
830 Int_t npdTst[3] = {npd1,npd2,npd3};
831 //
832
833 for (int i=3;i--;)for (int j=3;j--;) gridBC[i][j] = -1;
834 //
835 for (int idim=0;idim<3;idim++) {
836 float dimMN = fBMin[idim] + sclDim[0]*(fBMax[idim]-fBMin[idim]);
837 float dimMX = fBMin[idim] + sclDim[1]*(fBMax[idim]-fBMin[idim]);
838 //
839 int id1 = compDim[idim][0]; // 1st fixed dim
840 int id2 = compDim[idim][1]; // 2nd fixed dim
841 for (int i1=0;i1<kScp;i1++) {
842 xyz[ id1 ] = fBMin[id1] + kScl[i1]*( fBMax[id1]-fBMin[id1] );
843 for (int i2=0;i2<kScp;i2++) {
844 xyz[ id2 ] = fBMin[id2] + kScl[i2]*( fBMax[id2]-fBMin[id2] );
845 int* npt = GetNCNeeded(xyz,idim, dimMN,dimMX, Prec, npdTst[idim]); // npoints for Bx,By,Bz
846 for (int ib=0;ib<3;ib++) if (npt[ib]>gridBC[ib][idim]) gridBC[ib][idim] = npt[ib];
847 }
848 }
849 }
850}
851
852/*
40389866 853void AliCheb3D::EstimateNPoints(float Prec, int gridBC[3][3])
854{
5406439e 855 // Estimate number of points to generate a training data
856 //
40389866 857 const float sclA[9] = {0.1, 0.5, 0.9, 0.1, 0.5, 0.9, 0.1, 0.5, 0.9} ;
858 const float sclB[9] = {0.1, 0.1, 0.1, 0.5, 0.5, 0.5, 0.9, 0.9, 0.9} ;
859 const float sclDim[2] = {0.01,0.99};
860 const int compDim[3][2] = { {1,2}, {2,0}, {0,1} };
861 static float xyz[3];
862 //
863 for (int i=3;i--;)for (int j=3;j--;) gridBC[i][j] = -1;
864 //
865 for (int idim=0;idim<3;idim++) {
866 float dimMN = fBMin[idim] + sclDim[0]*(fBMax[idim]-fBMin[idim]);
867 float dimMX = fBMin[idim] + sclDim[1]*(fBMax[idim]-fBMin[idim]);
868 //
869 for (int it=0;it<9;it++) { // test in 9 points
870 int id1 = compDim[idim][0]; // 1st fixed dim
871 int id2 = compDim[idim][1]; // 2nd fixed dim
872 xyz[ id1 ] = fBMin[id1] + sclA[it]*( fBMax[id1]-fBMin[id1] );
873 xyz[ id2 ] = fBMin[id2] + sclB[it]*( fBMax[id2]-fBMin[id2] );
874 //
875 int* npt = GetNCNeeded(xyz,idim, dimMN,dimMX, Prec); // npoints for Bx,By,Bz
2572efdf 876 for (int ib=0;ib<3;ib++) if (npt[ib]>gridBC[ib][idim]) gridBC[ib][idim] = npt[ib];//+2;
40389866 877 //
878 }
879 }
880}
881
882
883int* AliCheb3D::GetNCNeeded(float xyz[3],int DimVar, float mn,float mx, float prec)
884{
2572efdf 885 // estimate needed number of chebyshev coefs for given function description in DimVar dimension
40389866 886 // The values for two other dimensions must be set beforehand
887 //
888 static int curNC[3];
889 static int retNC[3];
890 const int kMaxPoint = 400;
891 float* gridVal = new float[3*kMaxPoint];
892 float* coefs = new float[3*kMaxPoint];
893 //
894 float scale = mx-mn;
895 float offs = mn + scale/2.0;
896 scale = 2./scale;
897 //
898 int curNP;
899 int maxNC=-1;
900 int maxNCPrev=-1;
901 for (int i=0;i<3;i++) retNC[i] = -1;
902 for (int i=0;i<3;i++) fArgsTmp[i] = xyz[i];
903 //
2572efdf 904 for (curNP=3; curNP<kMaxPoint; curNP+=3) {
40389866 905 maxNCPrev = maxNC;
906 //
907 for (int i=0;i<curNP;i++) { // get function values on Cheb. nodes
908 float x = TMath::Cos( TMath::Pi()*(i+0.5)/curNP );
909 fArgsTmp[DimVar] = x/scale+offs; // map to requested interval
910 EvalUsrFunction();
911 for (int ib=3;ib--;) gridVal[ib*kMaxPoint + i] = fResTmp[ib];
912 }
913 //
914 for (int ib=0;ib<3;ib++) {
915 curNC[ib] = AliCheb3D::CalcChebCoefs(&gridVal[ib*kMaxPoint], curNP, &coefs[ib*kMaxPoint],prec);
916 if (maxNC < curNC[ib]) maxNC = curNC[ib];
917 if (retNC[ib] < curNC[ib]) retNC[ib] = curNC[ib];
918 }
919 if ( (curNP-maxNC)>3 && (maxNC-maxNCPrev)<1 ) break;
920 maxNCPrev = maxNC;
921 //
922 }
923 delete[] gridVal;
924 delete[] coefs;
925 return retNC;
926 //
927}
1d18ebe0 928*/
929
930
931int* AliCheb3D::GetNCNeeded(float xyz[3],int DimVar, float mn,float mx, float prec, Int_t npCheck)
932{
933 // estimate needed number of chebyshev coefs for given function description in DimVar dimension
934 // The values for two other dimensions must be set beforehand
935 //
936 static int retNC[3];
937 static int npChLast = 0;
938 static float *gridVal=0,*coefs=0;
939 if (npCheck<3) npCheck = 3;
940 if (npChLast<npCheck) {
941 if (gridVal) delete[] gridVal;
942 if (coefs) delete[] coefs;
943 gridVal = new float[3*npCheck];
944 coefs = new float[3*npCheck];
945 npChLast = npCheck;
946 }
947 //
948 float scale = mx-mn;
949 float offs = mn + scale/2.0;
950 scale = 2./scale;
951 //
952 for (int i=0;i<3;i++) fArgsTmp[i] = xyz[i];
953 for (int i=0;i<npCheck;i++) {
954 fArgsTmp[DimVar] = TMath::Cos( TMath::Pi()*(i+0.5)/npCheck)/scale+offs; // map to requested interval
955 EvalUsrFunction();
956 for (int ib=3;ib--;) gridVal[ib*npCheck + i] = fResTmp[ib];
957 }
958 //
959 for (int ib=0;ib<3;ib++) retNC[ib] = AliCheb3D::CalcChebCoefs(&gridVal[ib*npCheck], npCheck, &coefs[ib*npCheck],prec);
960 return retNC;
961 //
962}
963
964
40389866 965#endif