| 3cd4fae8 |
1 | #include "AliLandauGaus.h" |
| 2 | #include <TSystem.h> |
| 3 | #include <TString.h> |
| 4 | #include <TList.h> |
| 5 | #include <TFile.h> |
| 6 | #include <TMath.h> |
| 7 | #include <TF1.h> |
| 8 | #include <TH1.h> |
| 9 | #include <TH2.h> |
| 10 | #include <TFitResult.h> |
| 11 | #include <TNtuple.h> |
| 12 | #include <TAxis.h> |
| 13 | #include <TMath.h> |
| 14 | #include <TCanvas.h> |
| 15 | #include <TStyle.h> |
| 16 | #include <TLine.h> |
| 17 | #include <TLatex.h> |
| 18 | #include <TPaveStats.h> |
| 19 | |
| 20 | //==================================================================== |
| 21 | /** |
| 22 | * Base class for tests |
| 23 | * |
| 24 | */ |
| 25 | struct TestF |
| 26 | { |
| 27 | //__________________________________________________________________ |
| 28 | /** |
| 29 | * Base class for individual tests |
| 30 | */ |
| 31 | struct Test { |
| 32 | /** Source distribution */ |
| 33 | TF1* src; |
| 34 | /** |
| 35 | * Constructor |
| 36 | */ |
| 37 | Test() : src(0) {} |
| 38 | /** |
| 39 | * Copy constructor |
| 40 | */ |
| 41 | Test(const Test& o) |
| 42 | : src(static_cast<TF1*>(o.src ? o.src->Clone() : 0)) {} |
| 43 | /** |
| 44 | * Destructor |
| 45 | */ |
| 46 | virtual ~Test() { delete src; } |
| 47 | /** |
| 48 | * Assignment operator |
| 49 | */ |
| 50 | Test& operator=(const Test& o) { |
| 51 | if (&o == this) return *this; |
| 52 | if (o.src) src = static_cast<TF1*>(o.src->Clone()); |
| 53 | return *this; |
| 54 | } |
| 55 | /** |
| 56 | * Run the test |
| 57 | * |
| 58 | * @param c Constant |
| 59 | * @param delta Most probable value |
| 60 | * @param xi Landau width |
| 61 | * @param sigma Gaussian smear |
| 62 | * @param n Maximum number of particles |
| 63 | * @param a Particle weights |
| 64 | * @param xMin Least energy loss |
| 65 | * @param xMax Largest energy loss |
| 66 | */ |
| 67 | void Run(const Double_t c, |
| 68 | const Double_t delta, |
| 69 | const Double_t xi, |
| 70 | const Double_t sigma, |
| 71 | const Int_t n, |
| 72 | const Double_t* a, |
| 73 | const Double_t xMin, |
| 74 | const Double_t xMax) { |
| 75 | printf("%8.4f | %8.4f | %8.4f | ", delta, xi, sigma); |
| 76 | fflush(stdout); |
| 77 | src = AliLandauGaus::MakeFn(c,delta,xi,sigma,0,n,&(a[1]),xMin,xMax); |
| 78 | src->SetName("src"); |
| 79 | src->SetLineColor(kBlack); |
| 80 | src->SetNpx(10000); |
| 81 | // If the constant is 1, then this is a fake distribtion and we |
| 82 | // need to scale it. |
| 83 | if (c >= 1) { |
| 84 | Double_t max = src->GetMaximum(); |
| 85 | src->SetParameter(0, c/max); |
| 86 | } |
| 87 | |
| 88 | // src->Print(); |
| 89 | DoRun(); |
| 90 | } |
| 91 | /** |
| 92 | * @return Source parameter @f$ C@f$ |
| 93 | */ |
| 94 | Double_t C() const { return src->GetParameter(AliLandauGaus::kC); } |
| 95 | /** |
| 96 | * @return Source parameter @f$\Delta_p@f$ |
| 97 | */ |
| 98 | Double_t Delta() const { return src->GetParameter(AliLandauGaus::kDelta); } |
| 99 | /** |
| 100 | * @return Source parameter @f$\xi@f$ |
| 101 | */ |
| 102 | Double_t Xi() const { return src->GetParameter(AliLandauGaus::kXi); } |
| 103 | /** |
| 104 | * @return Source parameter @f$ \sigma@f$ |
| 105 | */ |
| 106 | Double_t Sigma() const { return src->GetParameter(AliLandauGaus::kSigma); } |
| 107 | /** |
| 108 | * @return Source parameter @f$ \sigma_n@f$ |
| 109 | */ |
| 110 | Double_t SigmaN() const { return src->GetParameter(AliLandauGaus::kSigmaN);} |
| 111 | /** |
| 112 | * @return Source parameter @f$ N@f$ |
| 113 | */ |
| 114 | Double_t N() const { return src->GetParameter(AliLandauGaus::kN); } |
| 115 | /** |
| 116 | * @return Source parameter @f$ a_i@f$ |
| 117 | */ |
| 118 | Double_t A(Int_t i) const { |
| 119 | return (i <= 1 ? 1 : src->GetParameter(AliLandauGaus::kN+(i-1))); } |
| 120 | /** |
| 121 | * @return Least energy loss |
| 122 | */ |
| 123 | Double_t XMin() const { return src->GetXmin(); } |
| 124 | /** |
| 125 | * @return Largest energy loss |
| 126 | */ |
| 127 | Double_t XMax() const { return src->GetXmax(); } |
| 128 | /** |
| 129 | * Generate single component function for @a i particles |
| 130 | * |
| 131 | * @param c Constant |
| 132 | * @param delta @f$\Delta_p@f$ |
| 133 | * @param xi @f$\xi@f$ |
| 134 | * @param sigma @f$\sigma@f$ |
| 135 | * @param sigmaN @f$\sigma_n@f$ |
| 136 | * @param i Number of particles |
| 137 | * |
| 138 | * @return Pointer to function object |
| 139 | */ |
| 140 | TF1* Fi(Double_t c, Double_t delta, Double_t xi, Double_t sigma, |
| 141 | Double_t sigmaN, Int_t i) const { |
| 142 | return AliLandauGaus::MakeFi(c,delta,xi,sigma,sigmaN,i,XMin(),XMax()); |
| 143 | } |
| 144 | /** |
| 145 | * Generate single component function for @a i particles using |
| 146 | * source parameters |
| 147 | * |
| 148 | * @param i Number of particles |
| 149 | * |
| 150 | * @return Pointer to function object |
| 151 | */ |
| 152 | TF1* Fi(Int_t i) { |
| 153 | return Fi(C()*A(i),Delta(),Xi(),Sigma(),SigmaN(),i); |
| 154 | } |
| 155 | |
| 156 | /** |
| 157 | * @{ |
| 158 | * @name Overload-able interface |
| 159 | */ |
| 160 | /** |
| 161 | * Run the test |
| 162 | */ |
| 163 | virtual void DoRun() = 0; |
| 164 | /** |
| 165 | * Write results to disk |
| 166 | * |
| 167 | * @param d Directory to write to |
| 168 | */ |
| 169 | virtual void WriteOut(TDirectory* d) = 0; |
| 170 | /** |
| 171 | * Draw results in a pad |
| 172 | * |
| 173 | * @param p Pad to draw in |
| 174 | */ |
| 175 | virtual void DrawInPad(TVirtualPad* p) = 0; |
| 176 | /* @} */ |
| 177 | }; |
| 178 | //__________________________________________________________________ |
| 179 | /** |
| 180 | * @{ |
| 181 | * @name Utilities |
| 182 | */ |
| 183 | /** |
| 184 | * Draw a vertical line |
| 185 | * |
| 186 | * @param i Line style |
| 187 | * @param col Line color |
| 188 | * @param x X value |
| 189 | * @param low Least Y value |
| 190 | * @param high Largest Y value |
| 191 | * |
| 192 | * @return The line |
| 193 | */ |
| 194 | static TLine* |
| 195 | VerticalLine(Int_t i, Color_t col, Double_t x, Double_t low, Double_t high) |
| 196 | { |
| 197 | TLine* l = new TLine(x,low,x,high); |
| 198 | l->SetLineStyle(i); |
| 199 | l->SetLineColor(col); |
| 200 | return l; |
| 201 | } |
| 202 | //__________________________________________________________________ |
| 203 | virtual ~TestF() {} |
| 204 | /** |
| 205 | * Make a test object - overload |
| 206 | * |
| 207 | * @return The test object |
| 208 | */ |
| 209 | virtual Test* MakeTest() = 0; |
| 210 | /** |
| 211 | * Do one scan |
| 212 | * |
| 213 | * @param c Constant |
| 214 | * @param delta Most probable value @f$\Delta_p@f$ |
| 215 | * @param xi Landau width @f$\xi@f$ |
| 216 | * @param sigma Gaussian spread @f$\sigma@f$ |
| 217 | * @param n Maximum number of particles |
| 218 | * @param a Particle weights |
| 219 | * @param xMin Least @f$\Delta @f$ |
| 220 | * @param xMax Largest @f$\Delta@f$ |
| 221 | * |
| 222 | * @return The test object |
| 223 | */ |
| 224 | Test* DoOne(const Double_t c, |
| 225 | const Double_t delta, |
| 226 | const Double_t xi, |
| 227 | const Double_t sigma, |
| 228 | const Int_t n, |
| 229 | const Double_t* a, |
| 230 | const Double_t xMin, |
| 231 | const Double_t xMax, |
| 232 | TVirtualPad* pad=0) |
| 233 | { |
| 234 | Test* t = MakeTest(); |
| 235 | t->Run(c, delta, xi, sigma, n, a, xMin, xMax); |
| 236 | |
| 237 | TString name(Form("sigma%04d_xi%04d", Int_t(100*sigma), Int_t(100*xi))); |
| 238 | TString title(Form("Sigma=%f xi=%f", sigma, xi)); |
| 239 | if (!pad) { |
| 240 | TCanvas* can = new TCanvas(name, title, 1200, 900); |
| 241 | pad = can; |
| 242 | } |
| 243 | else |
| 244 | pad->Clear(); |
| 245 | t->DrawInPad(pad); |
| 246 | |
| 247 | return t; |
| 248 | } |
| 249 | /** |
| 250 | * Do a unit scan |
| 251 | * |
| 252 | * @param sigma @f$\sigma@f$ of the Gaussian |
| 253 | * @param xi @f$\xi@f$ width of Landau |
| 254 | * @param n Number of particles |
| 255 | * @param pad Possibly existing canvas to plot in |
| 256 | * |
| 257 | * @return Scan object |
| 258 | */ |
| 259 | Test* DoUnit(const Double_t sigma, |
| 260 | const Double_t xi=1, |
| 261 | const Int_t n=10, |
| 262 | TVirtualPad* pad=0) |
| 263 | { |
| 264 | const Double_t c = 1; |
| 265 | const Double_t delta = 10; |
| 266 | Double_t idelta = delta; |
| 267 | Double_t ixi = xi; |
| 268 | Double_t isigma = sigma; |
| 269 | AliLandauGaus::IPars(n+1,idelta,ixi, isigma); |
| 270 | Double_t up = idelta + ixi + isigma; // 8*n |
| 271 | Double_t a[n]; |
| 272 | a[0] = 1; |
| 273 | for (Int_t i = 1; i < n; i++) |
| 274 | a[i] = TMath::Exp(0.5 - TMath::Sqrt(2)*(i+1)); |
| 275 | |
| 276 | return DoOne(c,delta,xi,sigma,n,a,-3,up, pad); |
| 277 | } |
| 278 | /** |
| 279 | * Do a realistic scan |
| 280 | * |
| 281 | * @param pad Possibly existing canvas to plot in |
| 282 | * |
| 283 | * @return Scan object |
| 284 | */ |
| 285 | Test* DoRealistic(TVirtualPad* pad=0) |
| 286 | { |
| 287 | Double_t c = 0.4070; |
| 288 | Double_t delta = 0.5651; |
| 289 | Double_t xi = 0.0643; |
| 290 | Double_t sigma = 0.0611; |
| 291 | Int_t n = 5; |
| 292 | Double_t a[] = {1, 0.1179, 0.0333, 0.0068, 0.0012 }; |
| 293 | |
| 294 | return DoOne(c, delta, xi, sigma, n, a, 0.02, n, pad); |
| 295 | } |
| 296 | /** |
| 297 | * Prefix on output |
| 298 | * |
| 299 | * |
| 300 | * @return |
| 301 | */ |
| 302 | virtual const char* Prefix() const = 0; |
| 303 | /** |
| 304 | * Make an output ntuple |
| 305 | * |
| 306 | * @return Possibly newly allocated NTuple |
| 307 | */ |
| 308 | virtual TNtuple* MakeNTuple() { return 0; } |
| 309 | /** |
| 310 | * Setup for scanning |
| 311 | * |
| 312 | * @param mode Scanning mode |
| 313 | * @param file Output file |
| 314 | * @param canvas Canvas |
| 315 | * @param nt Possible Ntuple |
| 316 | */ |
| 317 | virtual void SetupScan(UShort_t mode, |
| 318 | TFile*& file, |
| 319 | TCanvas*& canvas, |
| 320 | TNtuple*& nt) |
| 321 | { |
| 322 | TString base = Form("%s%s", Prefix(), |
| 323 | (mode == 0 ? "SigmaXi" : |
| 324 | mode == 1 ? "Sigma" : "Xi")); |
| 325 | file = TFile::Open(Form("%s.root", base.Data()), "RECREATE"); |
| 326 | nt = MakeNTuple(); |
| 327 | canvas = new TCanvas(base, Form("%s.pdf", base.Data()), |
| 328 | TMath::Sqrt(2)*900, 900); |
| 329 | TString title("pdf Landscape Title:Scan"); |
| 330 | gSystem->RedirectOutput("/dev/null"); |
| 331 | canvas->Print(Form("%s[", canvas->GetTitle()), title); |
| 332 | gSystem->RedirectOutput(0); |
| 333 | } |
| 334 | /** |
| 335 | * Print canvas to output PDF |
| 336 | * |
| 337 | * @param c Canvas |
| 338 | * @param title Title of page |
| 339 | * |
| 340 | * @return The full title of the page |
| 341 | */ |
| 342 | void PrintCanvas(TCanvas* c, Double_t xi, Double_t sigma) { |
| 343 | TString tit = "pdf Landscape Title:"; |
| 344 | Bool_t cls = false; |
| 345 | if (xi > 0 && sigma > 0) { |
| 346 | tit.Append(Form("xi=%8.4f sigma=%8.4f", xi, sigma)); |
| 347 | } |
| 348 | else { |
| 349 | tit.Append("Results"); |
| 350 | cls = true; |
| 351 | } |
| 352 | gSystem->RedirectOutput("/dev/null"); |
| 353 | c->Print(c->GetTitle(), tit); |
| 354 | if (cls) { |
| 355 | c->Clear(); |
| 356 | c->Print(Form("%s]", c->GetTitle()), tit); |
| 357 | } |
| 358 | gSystem->RedirectOutput(0); |
| 359 | if (cls) |
| 360 | ::Info("", "Plots saved in %s", c->GetTitle()); |
| 361 | } |
| 362 | /** |
| 363 | * Executed before loop |
| 364 | * |
| 365 | * @param mode Mode |
| 366 | * @param nVal Number of values |
| 367 | */ |
| 368 | virtual void PreLoop(UShort_t mode, Int_t nVal) = 0; |
| 369 | /** |
| 370 | * Process a single step |
| 371 | * |
| 372 | * @param mode Mode |
| 373 | * @param i First index |
| 374 | * @param j Second index (if any) |
| 375 | * @param n Number of values |
| 376 | * @param test Test result |
| 377 | */ |
| 378 | virtual void Step(UShort_t mode, |
| 379 | Int_t i, |
| 380 | Int_t j, |
| 381 | Int_t n, |
| 382 | Test* test, |
| 383 | TNtuple* nt) = 0; |
| 384 | /** |
| 385 | * Called after looping |
| 386 | * |
| 387 | * @param mode Execution mode |
| 388 | * @param can Canvas |
| 389 | * @param nt NTuple |
| 390 | * @param out Output file |
| 391 | */ |
| 392 | virtual void PostLoop(UShort_t mode, |
| 393 | TCanvas* can, |
| 394 | TNtuple* nt, |
| 395 | TFile* out) = 0; |
| 396 | /** |
| 397 | * Scan over a parameter (@f$\xi@f$ or @f$\sigma@f$) |
| 398 | * |
| 399 | * @param sigma If true, scan @f$\sigma@f$, otherwise @f$\xi@f$ |
| 400 | * @param n Number of values |
| 401 | * @param values Values of the parameters |
| 402 | * @param maxN Number of particles |
| 403 | */ |
| 404 | void ScanOne(Bool_t scanSigma, |
| 405 | Int_t n, |
| 406 | const Double_t* values, |
| 407 | Int_t maxN=10) |
| 408 | { |
| 409 | UShort_t mod = scanSigma ? 1 : 2; |
| 410 | Scan(mod, n, values, maxN); |
| 411 | } |
| 412 | /** |
| 413 | * Scan over a parameter (@f$\xi@f$ or @f$\sigma@f$) |
| 414 | * |
| 415 | * @param sigma If true, scan @f$\sigma@f$, otherwise @f$\xi@f$ |
| 416 | * @param values Values of the parameters |
| 417 | * @param maxN Number of particles |
| 418 | */ |
| 419 | void ScanOne(Bool_t scanSigma, |
| 420 | const TArrayD& values, |
| 421 | Int_t maxN) |
| 422 | { |
| 423 | ScanOne(scanSigma, values.GetSize(), values.GetArray(), maxN); |
| 424 | } |
| 425 | /** |
| 426 | * Scan over both parameter (@f$\xi@f$ and @f$\sigma@f$) |
| 427 | * |
| 428 | * @param n Number of parameters |
| 429 | * @param values Values of the parameters |
| 430 | * @param maxN Number of particles |
| 431 | */ |
| 432 | void ScanTwo(Int_t n, |
| 433 | const Double_t* values, |
| 434 | Int_t maxN=10) |
| 435 | { |
| 436 | Scan(0, n, values, maxN); |
| 437 | } |
| 438 | /** |
| 439 | * Scan over both parameter (@f$\xi@f$ and @f$\sigma@f$) |
| 440 | * |
| 441 | * @param values Values of the parameters |
| 442 | * @param maxN Number of particles |
| 443 | */ |
| 444 | void ScanTwo(const TArrayD& values, Int_t maxN) |
| 445 | { |
| 446 | ScanTwo(values.GetSize(), values.GetArray(), maxN); |
| 447 | } |
| 448 | /** |
| 449 | * Do the scan |
| 450 | * |
| 451 | * @param mode Mode of operation (0: both, 1: @f$\sigma@f$, or @f$\xi@f$) |
| 452 | * @param n Number of values |
| 453 | * @param values Values |
| 454 | * @param maxN Maximum number of particles |
| 455 | */ |
| 456 | void Scan(UShort_t mode, |
| 457 | Int_t n, |
| 458 | const Double_t* values, |
| 459 | Int_t maxN) |
| 460 | { |
| 461 | TFile* out = 0; |
| 462 | TNtuple* nt = 0; |
| 463 | TCanvas* can = 0; |
| 464 | SetupScan(mode, out, can, nt); |
| 465 | PreLoop(mode, n); |
| 466 | |
| 467 | Test* t = DoRealistic(can); |
| 468 | t->WriteOut(out->mkdir("realistic")); |
| 469 | can->Write(); |
| 470 | PrintCanvas(can, t->Xi(), t->Sigma()); |
| 471 | |
| 472 | if (mode == 0) LoopTwo(n, values, maxN, can, nt, out); |
| 473 | else LoopOne(mode, n, values, maxN, can, nt, out); |
| 474 | |
| 475 | PostLoop(mode, can, nt, out); |
| 476 | out->Write(); |
| 477 | out->Close(); |
| 478 | |
| 479 | } |
| 480 | /** |
| 481 | * Loop over one of @f$\xi@f$ or @f$\sigma@f$ |
| 482 | * |
| 483 | * @param mode Mode (1: @f$\sigma@f$, otherwise @f$\xi@f$) |
| 484 | * @param n Number of values |
| 485 | * @param values Values |
| 486 | * @param maxN Maximum number of particles |
| 487 | * @param can Canvas to draw in |
| 488 | * @param nt NTuple to fill |
| 489 | * @param out Output directory |
| 490 | */ |
| 491 | void LoopOne(UShort_t mode, |
| 492 | Int_t n, |
| 493 | const Double_t* values, |
| 494 | Int_t maxN, |
| 495 | TCanvas* can, |
| 496 | TNtuple* nt, |
| 497 | TFile* out) { |
| 498 | Bool_t scanSigma = mode == 1; |
| 499 | const char* var = (scanSigma ? "sigma" : "xi"); |
| 500 | |
| 501 | for (Int_t i = 0; i < n; i++) { |
| 502 | Double_t v = values[i]; |
| 503 | Double_t sigma = (scanSigma ? v : 1); |
| 504 | Double_t xi = (!scanSigma ? v : 1); |
| 505 | |
| 506 | StepIt(mode, xi, sigma, maxN, 0, i, n, can, nt, out, var, v); |
| 507 | } |
| 508 | } |
| 509 | /** |
| 510 | * Loop over both @f$\xi@f$ and @f$\sigma@f$ |
| 511 | * |
| 512 | * @param n Number of values |
| 513 | * @param values Values |
| 514 | * @param maxN Maximum number of particles |
| 515 | * @param can Canvas to draw in |
| 516 | * @param nt NTuple to fill |
| 517 | * @param out Output directory |
| 518 | */ |
| 519 | void LoopTwo(Int_t n, |
| 520 | const Double_t* values, |
| 521 | Int_t maxN, |
| 522 | TCanvas* can, |
| 523 | TNtuple* nt, |
| 524 | TFile* out) |
| 525 | { |
| 526 | UShort_t mode = 0; |
| 527 | for (Int_t i = 0; i < n; i++) { |
| 528 | Double_t xi = values[i]; |
| 529 | TDirectory* d = out->mkdir(Form("xi%04d", Int_t(100*xi))); |
| 530 | for (Int_t j = 0; j < n; j++) { |
| 531 | Double_t sigma = values[j]; |
| 532 | StepIt(mode, xi, sigma, maxN, i, j, n, can, nt, d, "sigma", sigma); |
| 533 | } |
| 534 | } |
| 535 | } |
| 536 | /** |
| 537 | * |
| 538 | * |
| 539 | * @param mode Mode |
| 540 | * @param xi @f$\xi@f$ |
| 541 | * @param sigma @f$\sigma@f$ |
| 542 | * @param maxN At most this many particles |
| 543 | * @param i First index |
| 544 | * @param j Last index |
| 545 | * @param n Number of values |
| 546 | * @param can Canvas |
| 547 | * @param nt NTuple |
| 548 | * @param p Parent directory |
| 549 | * @param pre Prefix on directory |
| 550 | * @param v Current value |
| 551 | */ |
| 552 | void StepIt(UShort_t mode, |
| 553 | Double_t xi, |
| 554 | Double_t sigma, |
| 555 | Int_t maxN, |
| 556 | Int_t i, |
| 557 | Int_t j, |
| 558 | Int_t n, |
| 559 | TCanvas* can, |
| 560 | TNtuple* nt, |
| 561 | TDirectory* p, |
| 562 | const char* pre, |
| 563 | Double_t v) |
| 564 | { |
| 565 | TDirectory* d = p->mkdir(Form("%s%04d", pre, Int_t(100*v))); |
| 566 | Test* t = DoUnit(sigma, xi, maxN, can); |
| 567 | t->WriteOut(d); |
| 568 | can->Write(); |
| 569 | PrintCanvas(can, xi, sigma); |
| 570 | |
| 571 | Step(mode, i, j, n, t, nt); |
| 572 | } |
| 573 | }; |
| 574 | |
| 575 | //==================================================================== |
| 576 | #ifdef TEST_SHIFT |
| 577 | #include "WrappedGraph.C" |
| 578 | #include <TGraphErrors.h> |
| 579 | #include <TGraph2DErrors.h> |
| 580 | #include <TMultiGraph.h> |
| 581 | #include <Math/RootFinder.h> |
| 582 | |
| 583 | struct TestShift : public TestF |
| 584 | { |
| 585 | /** |
| 586 | * Our fit function |
| 587 | * |
| 588 | * @f[ |
| 589 | * \Delta_{i,p} - \Delta_{i,r} = |
| 590 | * f(i;c,p,\xi,\sigma) = |
| 591 | * \frac{c u \sigma}{(1+1/i)^{p u^{3/2}} |
| 592 | * @f] |
| 593 | * |
| 594 | * where @f$ u=\sigma/\xi@f$ |
| 595 | * |
| 596 | * @param xp Independent variables |
| 597 | * @param pp Parameters |
| 598 | * |
| 599 | * @return @f$ f(i;c,p,\xi,\sigma)@f$ |
| 600 | */ |
| 601 | static Double_t fitFunc(Double_t* xp, Double_t* pp) { |
| 602 | Double_t x = *xp; |
| 603 | Double_t c = pp[0]; |
| 604 | Double_t p = pp[1]; |
| 605 | Double_t xi = pp[2]; |
| 606 | Double_t sigma = pp[3]; |
| 607 | Double_t u = sigma / xi; |
| 608 | Double_t a = c * u * sigma; |
| 609 | Double_t b = p * u * TMath::Sqrt(u); |
| 610 | |
| 611 | return a / TMath::Power(1+1./x, b); |
| 612 | } |
| 613 | /** |
| 614 | * Scale a graph |
| 615 | * |
| 616 | * @param g Graph to scale |
| 617 | * @param scale Scale |
| 618 | */ |
| 619 | static void ScaleGraph(TGraph* g, Double_t scale) |
| 620 | { |
| 621 | // Info("", "Scaling graph %p with %f", g, scale); |
| 622 | if (scale == 1) return; |
| 623 | for (Int_t i = 0; i < g->GetN(); i++) |
| 624 | g->SetPoint(i,g->GetX()[i], g->GetY()[i] * scale); |
| 625 | } |
| 626 | //__________________________________________________________________ |
| 627 | struct Test : public TestF::Test |
| 628 | { |
| 629 | TGraph* zeros; // Zeros of the derivatives |
| 630 | TGraph* diff; // Difference from calculated Delta to roots |
| 631 | TList comps; // Components |
| 632 | TList derivs; // Derivatives |
| 633 | TF1* fit; // Fit to difference |
| 634 | Test() : TestF::Test(), zeros(0), diff(0), fit(0) |
| 635 | { |
| 636 | comps.SetName("components"); |
| 637 | derivs.SetName("derivatives"); |
| 638 | |
| 639 | } |
| 640 | /** |
| 641 | * Run the actual test |
| 642 | */ |
| 643 | void DoRun() |
| 644 | { |
| 645 | AliLandauGaus::EnableSigmaShift(false); // Disable sigma-shift |
| 646 | const Int_t n = N(); |
| 647 | zeros = new TGraph(n); |
| 648 | zeros->SetName("zeros"); |
| 649 | zeros->SetTitle("Zeros of derivatives"); |
| 650 | zeros->SetMarkerStyle(25); |
| 651 | zeros->SetMarkerSize(1.2); |
| 652 | zeros->SetMarkerColor(kRed+1); |
| 653 | |
| 654 | diff = new TGraph(n); |
| 655 | diff->SetName("diff"); |
| 656 | diff->SetTitle("#delta#Delta_{p}"); |
| 657 | diff->SetMarkerStyle(20); |
| 658 | diff->SetMarkerColor(kBlue+1); |
| 659 | |
| 660 | // Make the components |
| 661 | Int_t j = 0; |
| 662 | for (Int_t i = 1; i <= n; i++, j++) |
| 663 | if (!MakeComp(i)) break; |
| 664 | zeros->Set(j); |
| 665 | diff->Set(j); |
| 666 | |
| 667 | // Now fit |
| 668 | fit = new TF1("fit", &fitFunc, 1, j, 4); |
| 669 | fit->SetParNames("c", "p", "#xi", "#sigma"); |
| 670 | fit->SetParameter(0, .5); |
| 671 | fit->SetParameter(1, .5); |
| 672 | fit->FixParameter(2, Xi()); |
| 673 | fit->FixParameter(3, Sigma()); |
| 674 | |
| 675 | // fit->SetParNames("c", "#xi", "#sigma"); |
| 676 | // fit->FixParameter(1, xi); |
| 677 | |
| 678 | |
| 679 | Int_t ifit = 4; |
| 680 | do { |
| 681 | gSystem->RedirectOutput("/dev/null"); |
| 682 | diff->Fit(fit, Form("MR%s", ifit == 0 ? "Q" : "Q")); |
| 683 | gSystem->RedirectOutput(0); |
| 684 | ifit--; |
| 685 | } while (ifit >= 0); |
| 686 | Printf("%8.4f | %8.4f %9.5f | %8.4f %9.5f", |
| 687 | fit->GetChisquare() / fit->GetNDF(), |
| 688 | fit->GetParameter(0), fit->GetParError(0), |
| 689 | fit->GetParameter(1), fit->GetParError(1)); |
| 690 | |
| 691 | } |
| 692 | /** |
| 693 | * Make a single component |
| 694 | * |
| 695 | * @param i Number of particles |
| 696 | */ |
| 697 | Bool_t MakeComp(const Int_t i) { |
| 698 | TF1* fi = Fi(i); |
| 699 | fi->SetNpx(src->GetNpx()); |
| 700 | // fi->Print(); |
| 701 | |
| 702 | TGraph* dF = new TGraph(fi, "d"); |
| 703 | dF->SetName(Form("d%s", fi->GetName())); |
| 704 | dF->SetTitle(Form("d%s/d#Delta", fi->GetTitle())); |
| 705 | dF->SetMarkerStyle(1); // A dot |
| 706 | // dF->SetMarkerStyle(20+i-1); |
| 707 | dF->SetMarkerColor(fi->GetLineColor()); |
| 708 | dF->SetLineColor(fi->GetLineColor()); |
| 709 | |
| 710 | Double_t max = TMath::MaxElement(dF->GetN(), dF->GetY()); |
| 711 | if (max < 1e-6) return false; |
| 712 | |
| 713 | ScaleGraph(dF, 1./max); |
| 714 | Double_t delta = Delta(); |
| 715 | Double_t xi = Xi(); |
| 716 | Double_t deltaI = i * (delta + xi * TMath::Log(i)); |
| 717 | Double_t xiI = i * xi; |
| 718 | Double_t xR = FindRoot(dF, deltaI-2*xiI, deltaI+2*xiI); |
| 719 | |
| 720 | // Printf("Component %2d: Exp: %8.4f Got: %8.4f Diff: %9.5f", |
| 721 | // i, deltaI, xR, (xR-deltaI)); |
| 722 | // printf("."); |
| 723 | comps.Add(fi); |
| 724 | derivs.Add(dF); |
| 725 | zeros->SetPoint(i-1, xR, dF->Eval(xR)); |
| 726 | diff->SetPoint(i-1, i, xR - deltaI); |
| 727 | |
| 728 | return true; |
| 729 | } |
| 730 | /** |
| 731 | * Find the root of a graph |
| 732 | * |
| 733 | * @param g Graph |
| 734 | * @param xMin Least value of scan range |
| 735 | * @param xMax Largest value of scan range |
| 736 | * |
| 737 | * @return Zero of the graph |
| 738 | */ |
| 739 | Double_t FindRoot(TGraph* g, Double_t xMin, Double_t xMax) { |
| 740 | WrappedGraph* wG = new WrappedGraph(g); |
| 741 | ROOT::Math::RootFinder rfb(ROOT::Math::RootFinder::kBRENT); |
| 742 | rfb.SetFunction(*wG, xMin, xMax); |
| 743 | rfb.Solve(); |
| 744 | Double_t xR = rfb.Root(); |
| 745 | return xR; |
| 746 | } |
| 747 | /** |
| 748 | * Draw the results in a pad |
| 749 | * |
| 750 | * @param body Pad to draw in |
| 751 | */ |
| 752 | void DrawInPad(TVirtualPad* body) { |
| 753 | body->SetTopMargin(0.01); |
| 754 | body->SetRightMargin(0.01); |
| 755 | body->Divide(2,1); |
| 756 | |
| 757 | TVirtualPad* p = body->cd(1); |
| 758 | p->SetTopMargin(0.01); |
| 759 | p->SetRightMargin(0.01); |
| 760 | p->Divide(1,2,0,0); |
| 761 | |
| 762 | TVirtualPad* q = p->cd(1); |
| 763 | q->SetRightMargin(0.01); |
| 764 | q->SetGridx(); |
| 765 | q->SetLogy(); |
| 766 | src->Draw(); |
| 767 | Double_t fmax = src->GetHistogram()->GetMaximum(); |
| 768 | Double_t fmin = src->GetHistogram()->GetMinimum(); |
| 769 | fmin = TMath::Max(fmin, fmax/1e8); |
| 770 | src->GetHistogram()->SetMinimum(fmin); |
| 771 | TLatex* ltx = new TLatex(q->GetLeftMargin()+.02, |
| 772 | 1-q->GetTopMargin()-.02, |
| 773 | Form("#Delta_{p}=%f, #xi=%f, #sigma=%f", |
| 774 | Delta(), Xi(), Sigma())); |
| 775 | // Printf("%s: Max=%f scale=%f", src->GetName(), fmax, 1/fmax); |
| 776 | ltx->SetTextFont(42); |
| 777 | ltx->SetNDC(); |
| 778 | ltx->SetTextAlign(13); |
| 779 | ltx->Draw(); |
| 780 | |
| 781 | q = p->cd(2); |
| 782 | q->SetRightMargin(0.01); |
| 783 | q->SetGridx(); |
| 784 | |
| 785 | Double_t x = 1-q->GetRightMargin()-.02; |
| 786 | Double_t y = 1-q->GetTopMargin()-.1; |
| 787 | for (Int_t i = 1; i <= comps.GetEntries(); i++) { |
| 788 | p->cd(1); |
| 789 | TF1* fi = static_cast<TF1*>(comps.At(i-1)); |
| 790 | fi->Draw("same"); |
| 791 | |
| 792 | Double_t deltaR = zeros->GetX()[i-1]; |
| 793 | Double_t deltaI = i * (Delta() + Xi() * TMath::Log(i)); |
| 794 | |
| 795 | Color_t col = fi->GetLineColor(); |
| 796 | VerticalLine(1,col,deltaI,fmin,fmax)->Draw(); |
| 797 | VerticalLine(3,col,deltaR,fmin,fmax)->Draw(); |
| 798 | |
| 799 | ltx = new TLatex(x,y,Form("#Delta_{p,%2d}=%8.4f %8.4f", |
| 800 | i,deltaI,deltaR)); |
| 801 | ltx->SetTextAlign(33); |
| 802 | ltx->SetTextFont(42); |
| 803 | ltx->SetNDC(); |
| 804 | ltx->Draw(); |
| 805 | y -= ltx->GetTextSize() + .01; |
| 806 | |
| 807 | p->cd(2); |
| 808 | |
| 809 | TGraph* df = static_cast<TGraph*>(derivs.At(i-1)); |
| 810 | df->Draw(i == 1 ? "alp" : "lp"); |
| 811 | df->GetHistogram()->GetXaxis()->SetRangeUser(XMin(), XMax()); |
| 812 | VerticalLine(1,col,deltaI,-.6,1.1)->Draw(); |
| 813 | VerticalLine(3,col,deltaR,-.6,1.1)->Draw(); |
| 814 | } |
| 815 | p->cd(2); |
| 816 | zeros->Draw("p"); |
| 817 | |
| 818 | gStyle->SetOptFit(111111); |
| 819 | gStyle->SetStatY(.6); |
| 820 | p = body->cd(2); |
| 821 | p->SetRightMargin(0.02); |
| 822 | p->SetTopMargin(0.02); |
| 823 | diff->Draw("alp"); |
| 824 | diff->GetHistogram()->GetListOfFunctions()->Add(fit); |
| 825 | diff->GetHistogram()->SetXTitle("N_{particle}"); |
| 826 | diff->GetHistogram()->SetYTitle("#Delta_{r}-#Delta_{p}"); |
| 827 | p->Clear(); |
| 828 | diff->Draw("alp"); |
| 829 | |
| 830 | body->Modified(); |
| 831 | body->Update(); |
| 832 | body->cd(); |
| 833 | } |
| 834 | /** |
| 835 | * Write results to disk |
| 836 | * |
| 837 | * @param dir Directory |
| 838 | */ |
| 839 | void WriteOut(TDirectory* dir) { |
| 840 | dir->cd(); |
| 841 | src->Write(); |
| 842 | zeros->Write(); |
| 843 | diff->Write(); |
| 844 | comps.Write(comps.GetName(), TObject::kSingleKey); |
| 845 | derivs.Write(derivs.GetName(), TObject::kSingleKey); |
| 846 | fit->Write(); |
| 847 | } |
| 848 | }; |
| 849 | //__________________________________________________________________ |
| 850 | TGraphErrors* cs; |
| 851 | TGraphErrors* ps; |
| 852 | TGraph2DErrors* c2s; |
| 853 | TGraph2DErrors* p2s; |
| 854 | TMultiGraph* mcs; |
| 855 | TMultiGraph* mps; |
| 856 | |
| 857 | /** |
| 858 | * Make a test object - overload |
| 859 | * |
| 860 | * @return The test object |
| 861 | */ |
| 862 | virtual TestF::Test* MakeTest() { return new Test(); } |
| 863 | /** |
| 864 | * Prefix on output |
| 865 | * |
| 866 | * @return The string "shift" |
| 867 | */ |
| 868 | virtual const char* Prefix() const { return "shift"; } |
| 869 | /** |
| 870 | * Make an output ntuple |
| 871 | * |
| 872 | * @return Possibly newly allocated NTuple |
| 873 | */ |
| 874 | virtual TNtuple* MakeNTuple () |
| 875 | { |
| 876 | return new TNtuple("shift","Shift scan", |
| 877 | "Delta:xi:sigma:chi2nu:p:ep:c:ec"); |
| 878 | } |
| 879 | /** |
| 880 | * Set-up for looping |
| 881 | * |
| 882 | * @param mode |
| 883 | * @param nVal |
| 884 | */ |
| 885 | virtual void PreLoop(UShort_t mode, Int_t n) |
| 886 | { |
| 887 | if (mode == 0) { |
| 888 | c2s = new TGraph2DErrors(n*n);c2s->SetName("cs"); |
| 889 | p2s = new TGraph2DErrors(n*n);p2s->SetName("ps"); |
| 890 | mcs = new TMultiGraph("mcs", "C as function of #sigma/#xi"); |
| 891 | mps = new TMultiGraph("mps", "P as function of #sigma/#xi"); |
| 892 | c2s->SetDirectory(0); |
| 893 | p2s->SetDirectory(0); |
| 894 | c2s->SetMarkerStyle(20); |
| 895 | p2s->SetMarkerStyle(20); |
| 896 | c2s->SetTitle("c(#xi,#sigma)"); |
| 897 | p2s->SetTitle("p(#xi,#sigma)"); |
| 898 | } |
| 899 | else { |
| 900 | const char* var = (mode == 1 ? "#sigma" : "#xi"); |
| 901 | cs = new TGraphErrors(n); cs->SetName("cs"); |
| 902 | ps = new TGraphErrors(n); ps->SetName("ps"); |
| 903 | cs->SetMarkerStyle(20); |
| 904 | ps->SetMarkerStyle(20); |
| 905 | cs->SetTitle(Form("c(%s)", var)); |
| 906 | ps->SetTitle(Form("p(%s)", var)); |
| 907 | } |
| 908 | Printf("%-8s | %-8s | %-8s | %-8s | %-8s %-9s | %-8s %-9s", |
| 909 | "Delta_p", "xi", "sigma", "chi^2/nu", "c", "error", "p", "error"); |
| 910 | } |
| 911 | /** |
| 912 | * Fill multi graph |
| 913 | * |
| 914 | * @param mg - multi-graph |
| 915 | * @param i First index |
| 916 | * @param j Second index |
| 917 | * @param n Number of steps in each directon |
| 918 | * @param u @f$\sigma/\xi@f$ |
| 919 | * @param y Value |
| 920 | * @param e Error |
| 921 | */ |
| 922 | void FillMG(TMultiGraph* mg, |
| 923 | Int_t i, |
| 924 | Int_t j, |
| 925 | Int_t n, |
| 926 | Double_t u, |
| 927 | Double_t y, |
| 928 | Double_t e) |
| 929 | { |
| 930 | TList* l = mg->GetListOfGraphs(); |
| 931 | TGraphErrors* ge = (l ? static_cast<TGraphErrors*>(l->At(i)) : 0); |
| 932 | if (!ge) { |
| 933 | ge = new TGraphErrors(n); |
| 934 | ge->SetName(Form("%s%02d", mg->GetName(), i)); |
| 935 | ge->SetTitle(Form(Form("%d", i))); |
| 936 | ge->SetMarkerColor(AliLandauGaus::GetIColor(i)); |
| 937 | ge->SetLineColor(AliLandauGaus::GetIColor(i)); |
| 938 | ge->SetMarkerStyle(20); |
| 939 | mg->Add(ge); |
| 940 | } |
| 941 | ge->SetPoint(j, u, y); |
| 942 | ge->SetPointError(j, 0, e); |
| 943 | } |
| 944 | /** |
| 945 | * Process a single step |
| 946 | * |
| 947 | * @param mode Mode |
| 948 | * @param i First index |
| 949 | * @param j Second index |
| 950 | * @param n Number of steps in each direction |
| 951 | * @param bt Test result |
| 952 | */ |
| 953 | virtual void Step(UShort_t mode, |
| 954 | Int_t i, |
| 955 | Int_t j, |
| 956 | Int_t n, |
| 957 | TestF::Test* bt, |
| 958 | TNtuple* nt) |
| 959 | { |
| 960 | Test* t = static_cast<Test*>(bt); |
| 961 | Double_t xi = t->Xi(); |
| 962 | Double_t sigma = t->Sigma(); |
| 963 | Double_t c = t->fit->GetParameter(0); |
| 964 | Double_t p = t->fit->GetParameter(1); |
| 965 | Double_t ec = t->fit->GetParError(0); |
| 966 | Double_t ep = t->fit->GetParError(1); |
| 967 | Int_t idx = i * n + j; |
| 968 | if (mode == 0) { |
| 969 | c2s->SetPoint(idx, xi, sigma, c); |
| 970 | p2s->SetPoint(idx, xi, sigma, p); |
| 971 | c2s->SetPointError(idx, 0, 0, ec); |
| 972 | p2s->SetPointError(idx, 0, 0, ep); |
| 973 | FillMG(mcs, i, j, n, sigma/xi, c, ec); |
| 974 | FillMG(mps, i, j, n, sigma/xi, p, ep); |
| 975 | } |
| 976 | else { |
| 977 | cs->SetPoint(idx, (mode==1 ? sigma : xi), c); |
| 978 | ps->SetPoint(idx, (mode==1 ? sigma : xi), p); |
| 979 | cs->SetPointError(idx, 0, ec); |
| 980 | ps->SetPointError(idx, 0, ep); |
| 981 | } |
| 982 | nt->Fill(1,xi,sigma,t->fit->GetChisquare()/t->fit->GetNDF(),c,ec,p,ep); |
| 983 | } |
| 984 | /** |
| 985 | * Called after end of loop |
| 986 | * |
| 987 | * @param mode Mode of operation |
| 988 | * @param can Canvas |
| 989 | * @param nt NTuple |
| 990 | * @param out Output file |
| 991 | */ |
| 992 | void PostLoop(UShort_t mode, TCanvas* can, TNtuple* /*nt*/, TFile* out) |
| 993 | { |
| 994 | can->Clear(); |
| 995 | if (mode == 0) { |
| 996 | can->Divide(2,2); |
| 997 | can->cd(1); c2s->Draw("TRI2Z"); |
| 998 | can->cd(2); p2s->Draw("TRI2Z"); |
| 999 | can->cd(3); mcs->Draw("APL"); |
| 1000 | can->cd(4); mps->Draw("APL"); |
| 1001 | c2s->GetHistogram()->SetXTitle("#xi"); |
| 1002 | p2s->GetHistogram()->SetXTitle("#xi"); |
| 1003 | c2s->GetHistogram()->SetYTitle("#sigma"); |
| 1004 | p2s->GetHistogram()->SetYTitle("#sigma"); |
| 1005 | c2s->GetHistogram()->SetZTitle("c"); |
| 1006 | p2s->GetHistogram()->SetZTitle("p"); |
| 1007 | mcs->GetHistogram()->SetXTitle("#sigma/#xi"); |
| 1008 | mps->GetHistogram()->SetXTitle("#sigma/#xi"); |
| 1009 | mcs->GetHistogram()->SetYTitle("c"); |
| 1010 | mps->GetHistogram()->SetYTitle("p"); |
| 1011 | |
| 1012 | out->cd(); |
| 1013 | c2s->Write(); |
| 1014 | p2s->Write(); |
| 1015 | can->Write(); |
| 1016 | mcs->Write(); |
| 1017 | mps->Write(); |
| 1018 | } |
| 1019 | else { |
| 1020 | can->Divide(2,1); |
| 1021 | can->cd(1); cs->Draw("APL"); |
| 1022 | can->cd(2); ps->Draw("APL"); |
| 1023 | |
| 1024 | out->cd(); |
| 1025 | can->Write(); |
| 1026 | cs->Write(); |
| 1027 | ps->Write(); |
| 1028 | } |
| 1029 | PrintCanvas(can, 0, 0); |
| 1030 | } |
| 1031 | }; |
| 1032 | #endif |
| 1033 | |
| 1034 | //==================================================================== |
| 1035 | #ifdef TEST_FITTER |
| 1036 | #include "AliLandauGausFitter.h" |
| 1037 | #include <TRandom.h> |
| 1038 | |
| 1039 | struct TestFit : public TestF |
| 1040 | { |
| 1041 | struct Test : public TestF::Test |
| 1042 | { |
| 1043 | TH1* dist; |
| 1044 | TF1* res; |
| 1045 | TH1* pars; |
| 1046 | Bool_t fDoShift; |
| 1047 | Test() : TestF::Test(), dist(0), res(0), pars(0), fDoShift(true) {} |
| 1048 | /** |
| 1049 | * Re-implementation of TH1::FillRandom to accept a TF1 pointer |
| 1050 | * |
| 1051 | * @param h Histogram to fill |
| 1052 | * @param f Function to use |
| 1053 | * @param n Number of samples |
| 1054 | */ |
| 1055 | static void FillRandom(TH1* h, TF1* f, Int_t n=1000000) { |
| 1056 | TAxis* xAxis = h->GetXaxis(); |
| 1057 | |
| 1058 | Int_t first = xAxis->GetFirst(); |
| 1059 | Int_t last = xAxis->GetLast(); |
| 1060 | Int_t nbinsx = last-first+1; |
| 1061 | |
| 1062 | TArrayD integral(nbinsx+1); |
| 1063 | integral[0] = 0; |
| 1064 | for (Int_t i = 1; i <= nbinsx; i++) { |
| 1065 | Double_t fint = f->Integral(xAxis->GetBinLowEdge(i+first-1), |
| 1066 | xAxis->GetBinUpEdge(i+first-1)); |
| 1067 | integral[i] = integral[i-1] + fint; |
| 1068 | } |
| 1069 | |
| 1070 | // - Normalize integral to 1 |
| 1071 | if (integral[nbinsx] == 0) { |
| 1072 | Error("FillRandom", "Integral = zero"); |
| 1073 | return; |
| 1074 | } |
| 1075 | for (Int_t i = 1 ; i <= nbinsx; i++) |
| 1076 | integral[i] /= integral[nbinsx]; |
| 1077 | |
| 1078 | // --------------Start main loop ntimes |
| 1079 | for (Int_t i = 0; i < n; i++) { |
| 1080 | Double_t r1 = gRandom->Rndm(i); |
| 1081 | Int_t j = TMath::BinarySearch(nbinsx,&integral[0],r1); |
| 1082 | Double_t x = (xAxis->GetBinLowEdge(j+first) + |
| 1083 | xAxis->GetBinWidth(j+first) * |
| 1084 | (r1-integral[j])/(integral[j+1] - integral[j])); |
| 1085 | h->Fill(x); |
| 1086 | } |
| 1087 | } |
| 1088 | /** |
| 1089 | * Run the actual test |
| 1090 | */ |
| 1091 | void DoRun() |
| 1092 | { |
| 1093 | AliLandauGaus::EnableSigmaShift(1); // Enable sigma-shift |
| 1094 | Double_t xMin = XMin(); |
| 1095 | Double_t xMax = XMax(); |
| 1096 | Int_t n = N(); |
| 1097 | src->SetLineColor(kBlue); |
| 1098 | src->SetLineStyle(2); |
| 1099 | dist = new TH1D("dist", "Landau-Gaus distribution",500,xMin,xMax); |
| 1100 | dist->SetXTitle("#Delta"); |
| 1101 | dist->SetYTitle("dN/d#Delta"); |
| 1102 | dist->SetFillStyle(3001); |
| 1103 | dist->SetFillColor(kMagenta+1); |
| 1104 | dist->Sumw2(); |
| 1105 | dist->SetDirectory(0); |
| 1106 | FillRandom(dist, src); |
| 1107 | |
| 1108 | Int_t peakBin = dist->GetMaximumBin(); |
| 1109 | Double_t max = dist->GetBinContent(peakBin); |
| 1110 | dist->Scale(1/max); |
| 1111 | |
| 1112 | AliLandauGaus::EnableSigmaShift(fDoShift); // Disable sigma-shift |
| 1113 | AliLandauGausFitter f(xMin, xMax, 10); |
| 1114 | // f.SetDebug(true); |
| 1115 | |
| 1116 | TF1* r = f.FitNParticle(dist, n); |
| 1117 | if (!r) return; |
| 1118 | r->SetName("fit"); |
| 1119 | |
| 1120 | // Get the status for the covariance calculation: |
| 1121 | // 0: Not calculatuted |
| 1122 | // 1: Approximate |
| 1123 | // 2: Forced positive definite |
| 1124 | // 3: Accurate |
| 1125 | Int_t covStatus = |
| 1126 | static_cast<TFitResult*>(f.GetFitResults().At(n-1))->CovMatrixStatus(); |
| 1127 | if (covStatus < 2) ::Warning("", "Fit may not be good"); |
| 1128 | |
| 1129 | r->SetRange(xMin, xMax); |
| 1130 | res = static_cast<TF1*>(r->Clone()); |
| 1131 | res->SetLineColor(kPink+10); |
| 1132 | res->SetLineStyle(1); |
| 1133 | res->SetLineWidth(3); |
| 1134 | dist->GetListOfFunctions()->Add(res); |
| 1135 | |
| 1136 | Double_t min = 0.1*dist->GetMinimum(); |
| 1137 | TF1* old = src; // Tuck away src |
| 1138 | src = res; // Use fit now |
| 1139 | for (Int_t i = 1; i <= n; i++) { |
| 1140 | Double_t rDelta = Delta(); |
| 1141 | Double_t rxi = Xi(); |
| 1142 | Double_t rsigma = Sigma(); |
| 1143 | TF1* comp = Fi(i); |
| 1144 | comp->SetLineWidth(2); |
| 1145 | comp->SetLineStyle(1); |
| 1146 | |
| 1147 | // Modifies arguments! |
| 1148 | AliLandauGaus::IPars(i, rDelta, rxi, rsigma); |
| 1149 | TLine* l = VerticalLine(1, comp->GetLineColor(), rDelta, min, |
| 1150 | 1.1*old->Eval(rDelta)); |
| 1151 | dist->GetListOfFunctions()->Add(comp); |
| 1152 | dist->GetListOfFunctions()->Add(l); |
| 1153 | } |
| 1154 | src = old; // restore |
| 1155 | |
| 1156 | } |
| 1157 | /** |
| 1158 | * Draw results in pad |
| 1159 | * |
| 1160 | * @param p Pad |
| 1161 | */ |
| 1162 | void DrawInPad(TVirtualPad* p) |
| 1163 | { |
| 1164 | // Double_t scale = src->GetMaximum(); |
| 1165 | // src->SetParameter(0, 1/scale); |
| 1166 | p->Clear(); |
| 1167 | p->SetTopMargin(0.0); |
| 1168 | p->SetRightMargin(0.0); |
| 1169 | p->SetBottomMargin(0.0); |
| 1170 | p->SetLeftMargin(0.0); |
| 1171 | p->SetFillColor(kGray); |
| 1172 | p->Divide(2,1,0.001,0.001); |
| 1173 | TVirtualPad* q = p->cd(1); |
| 1174 | q->SetLogy(); |
| 1175 | q->SetTopMargin(0.01); |
| 1176 | q->SetRightMargin(0.02); |
| 1177 | q->SetFillColor(kWhite); |
| 1178 | gStyle->SetOptStat(0); |
| 1179 | gStyle->SetOptFit(11111); |
| 1180 | gStyle->SetOptTitle(false); |
| 1181 | gStyle->SetStatY(1-q->GetTopMargin()); |
| 1182 | |
| 1183 | dist->DrawCopy("hist"); |
| 1184 | dist->DrawCopy("e same"); |
| 1185 | AliLandauGaus::EnableSigmaShift(1); // Enable sigma-shift |
| 1186 | src->DrawClone("same"); |
| 1187 | AliLandauGaus::EnableSigmaShift(fDoShift); // Disable sigma-shift |
| 1188 | if (!res) return; |
| 1189 | |
| 1190 | |
| 1191 | q = p->cd(2); |
| 1192 | q->SetTopMargin(0.01); |
| 1193 | q->SetRightMargin(0.02); |
| 1194 | q->SetFillColor(kWhite); |
| 1195 | Int_t nPar = src->GetNpar(); |
| 1196 | pars = new TH1D("pars", "#chi^{2}/#nu & #Deltap_{i}/#deltap_{i}", |
| 1197 | nPar+1, 0, nPar+1); |
| 1198 | pars->SetDirectory(0); |
| 1199 | pars->SetFillColor(kCyan+2); |
| 1200 | pars->SetFillStyle(3001); |
| 1201 | pars->SetYTitle("#Deltap_{i}/#deltap_{i}"); |
| 1202 | |
| 1203 | TPaveStats* stats = new TPaveStats(0,0,0,0); |
| 1204 | stats->SetX1NDC(gStyle->GetStatX()-gStyle->GetStatW()); |
| 1205 | stats->SetY1NDC(gStyle->GetStatY()-gStyle->GetStatH()); |
| 1206 | stats->SetX2NDC(gStyle->GetStatX()); |
| 1207 | stats->SetY2NDC(gStyle->GetStatY()); |
| 1208 | stats->SetTextFont(42); |
| 1209 | |
| 1210 | stats->SetBorderSize(1); |
| 1211 | stats->SetFillColor(kWhite); |
| 1212 | stats->AddText(""); |
| 1213 | pars->GetListOfFunctions()->Add(stats); |
| 1214 | TString fmt(Form("%%s = %%%s", stats->GetFitFormat())); |
| 1215 | for (Int_t i = 0; i < nPar; i++) { |
| 1216 | Double_t low, high; |
| 1217 | res->GetParLimits(i, low, high); |
| 1218 | Double_t pSrc = src->GetParameter(i); |
| 1219 | Double_t pRes = res->GetParameter(i); |
| 1220 | Double_t eRes = res->GetParError(i); |
| 1221 | Bool_t fix = (low == high && ((pRes == 0 && low == 1) || low==pRes)); |
| 1222 | Double_t diff = fix ? 0 : TMath::Abs(pSrc-pRes)/eRes; |
| 1223 | pars->GetXaxis()->SetBinLabel(i+1,res->GetParName(i)); |
| 1224 | pars->SetBinContent(i+1, diff); |
| 1225 | stats->AddText(Form(fmt.Data(), res->GetParName(i), pSrc)); |
| 1226 | } |
| 1227 | pars->GetXaxis()->SetBinLabel(nPar+1,"#chi^{2}/#nu"); |
| 1228 | pars->SetBinContent(nPar+1,res->GetChisquare() / res->GetNDF()); |
| 1229 | pars->DrawCopy(); |
| 1230 | q->Modified(); |
| 1231 | q->Update(); |
| 1232 | |
| 1233 | p->Modified(); |
| 1234 | p->Update(); |
| 1235 | p->cd(); |
| 1236 | |
| 1237 | PrintFs(false); |
| 1238 | } |
| 1239 | /** |
| 1240 | * Print results |
| 1241 | * |
| 1242 | * @param full |
| 1243 | */ |
| 1244 | void PrintFs(Bool_t full=false) { |
| 1245 | if (full) { |
| 1246 | Int_t nPar = src->GetNpar(); |
| 1247 | Printf("%-2s %-10s | %-8s | %8s %-9s | %9.5s", |
| 1248 | "#", "Name", "Source", "Fit", "Error", "delta"); |
| 1249 | for (Int_t i = 0; i < nPar; i++) { |
| 1250 | Double_t low, high; |
| 1251 | res->GetParLimits(i, low, high); |
| 1252 | Double_t pSrc = src->GetParameter(i); |
| 1253 | Double_t pRes = res->GetParameter(i); |
| 1254 | Double_t eRes = res->GetParError(i); |
| 1255 | Bool_t fix = (low == high && ((pRes == 0 && low==1) || low==pRes)); |
| 1256 | Double_t diff = fix ? 0 : TMath::Abs(pSrc-pRes)/eRes; |
| 1257 | Printf("%2d %10s | %8.4f | %8.4f %9.5f | %9.5f %s", |
| 1258 | i, src->GetParName(i), pSrc, pRes, eRes, diff, |
| 1259 | (fix ? "fixed" : (diff < 2 ? "ok" : "bad"))); |
| 1260 | } |
| 1261 | Printf("chi^2/nu = %8.4f/%-3d = %9.5f", |
| 1262 | res->GetChisquare(), res->GetNDF(), |
| 1263 | res->GetChisquare() / res->GetNDF()); |
| 1264 | } |
| 1265 | else |
| 1266 | Printf("%8.4f", res->GetChisquare() / res->GetNDF()); |
| 1267 | } |
| 1268 | /** |
| 1269 | * Write results to disk |
| 1270 | * |
| 1271 | * @param d Directory to write to |
| 1272 | */ |
| 1273 | virtual void WriteOut(TDirectory* d) |
| 1274 | { |
| 1275 | d->cd(); |
| 1276 | src->Write(); |
| 1277 | dist->Write(); |
| 1278 | if (res) res->Write(); |
| 1279 | if (pars) pars->Write(); |
| 1280 | } |
| 1281 | |
| 1282 | }; |
| 1283 | //__________________________________________________________________ |
| 1284 | TestF::Test* MakeTest() { return new Test(); } |
| 1285 | const char* Prefix() const { return "fit"; } |
| 1286 | void PreLoop(UShort_t,Int_t) { |
| 1287 | Printf("%-8s | %-8s | %-8s | %-8s ", "Delta_p", "xi", "sigma", "chi^2/nu"); |
| 1288 | } |
| 1289 | void Step(UShort_t,Int_t,Int_t,Int_t,TestF::Test*,TNtuple*) {} |
| 1290 | void PostLoop(UShort_t,TCanvas* c,TNtuple*,TFile*) { PrintCanvas(c,0,0); } |
| 1291 | }; |
| 1292 | #endif |
| 1293 | // |
| 1294 | // EOF |
| 1295 | // |
| 1296 | |
| 1297 | |
git://git.uio.no / u / mrichter / AliRoot.git / blame