| 1 | /* ======================================================================== *\
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| 2 | !
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| 3 | ! *
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| 4 | ! * This file is part of MARS, the MAGIC Analysis and Reconstruction
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| 5 | ! * Software. It is distributed to you in the hope that it can be a useful
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| 6 | ! * and timesaving tool in analysing Data of imaging Cerenkov telescopes.
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| 7 | ! * It is distributed WITHOUT ANY WARRANTY.
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| 8 | ! *
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| 9 | ! * Permission to use, copy, modify and distribute this software and its
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| 10 | ! * documentation for any purpose is hereby granted without fee,
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| 11 | ! * provided that the above copyright notice appear in all copies and
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| 12 | ! * that both that copyright notice and this permission notice appear
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| 13 | ! * in supporting documentation. It is provided "as is" without express
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| 14 | ! * or implied warranty.
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| 15 | ! *
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| 16 | !
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| 17 | !
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| 18 | ! Author(s): Wolfgang Wittek, 7/2003 <mailto:wittek@mppmu.mpg.de>
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| 19 | ! Author(s): Thomas Bretz, 12/2003 <mailto:tbretz@astro.uni-wuerzburg.de>
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| 20 | !
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| 21 | ! Copyright: MAGIC Software Development, 2000-2003
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| 22 | !
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| 23 | !
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| 24 | \* ======================================================================== */
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| 25 |
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| 26 | /////////////////////////////////////////////////////////////////////////////
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| 27 | //
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| 28 | // MTMinuit
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| 29 | //
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| 30 | // Class for interfacing with Minuit
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| 31 | //
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| 32 | /////////////////////////////////////////////////////////////////////////////
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| 33 | #include "MTMinuit.h"
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| 34 |
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| 35 | #include <TMinuit.h>
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| 36 |
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| 37 | #include "MLog.h"
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| 38 | #include "MLogManip.h"
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| 39 |
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| 40 | ClassImp(MTMinuit);
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| 41 |
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| 42 | using namespace std;
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| 43 |
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| 44 | // --------------------------------------------------------------------------
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| 45 | //
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| 46 | // Default constructor.
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| 47 | //
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| 48 | MTMinuit::MTMinuit(const char *name, const char *title)
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| 49 | : fFcn(NULL), fNames(NULL), fMinuit(NULL)
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| 50 | {
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| 51 | fName = name ? name : "MTMinuit";
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| 52 | fTitle = title ? title : "Interface for Minuit";
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| 53 | }
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| 54 |
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| 55 | MTMinuit::~MTMinuit()
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| 56 | {
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| 57 | if (fMinuit)
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| 58 | delete fMinuit;
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| 59 | }
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| 60 |
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| 61 | TMinuit *MTMinuit::GetMinuit() const
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| 62 | {
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| 63 | return fMinuit;
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| 64 | }
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| 65 |
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| 66 | void MTMinuit::SetFcn(void (*fcn)(Int_t &, Double_t *, Double_t &, Double_t *, Int_t))
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| 67 | {
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| 68 | fFcn = fcn;
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| 69 | }
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| 70 |
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| 71 | void MTMinuit::InitParameters(const TArrayD &vinit, const TArrayD *step, const TString *name)
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| 72 | {
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| 73 | const int n = fVinit.GetSize();
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| 74 |
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| 75 | fVinit = vinit;
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| 76 |
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| 77 | fStep.Set(n);
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| 78 | memset(fStep.GetArray(), 0, n*sizeof(Double_t));
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| 79 |
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| 80 | if (step && step->GetSize()!=n)
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| 81 | {
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| 82 | *fLog << warn << "MTMinuit::SetParameters: number of steps doesn't match number of parameters... ignored." << endl;
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| 83 | step = NULL;
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| 84 | }
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| 85 |
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| 86 | for (int i=0; i<n; i++)
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| 87 | fStep[i] = step ? (*step)[i] : TMath::Abs(fVinit[i]/10.0);
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| 88 |
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| 89 | if (fNames)
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| 90 | delete fNames;
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| 91 |
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| 92 | fNames = new TString[n];
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| 93 |
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| 94 | // FIXME: Sanity check for TString array size!
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| 95 | for (int i=0; i<n ; i++)
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| 96 | fNames[i] = name ? (const char*)name[i] : Form("par%02d", i);
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| 97 |
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| 98 | // ---------------------------------------------------------------
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| 99 |
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| 100 | fLimLo.Set(n);
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| 101 | fLimUp.Set(n);
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| 102 | memset(fLimLo.GetArray(), 0, n*sizeof(Double_t));
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| 103 | memset(fLimUp.GetArray(), 0, n*sizeof(Double_t));
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| 104 |
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| 105 | fFix.Set(n);
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| 106 | memset(fFix.GetArray(), 0, n*sizeof(Char_t));
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| 107 | }
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| 108 |
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| 109 | void MTMinuit::SetLimits(const TArrayD &limlo, const TArrayD &limup)
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| 110 | {
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| 111 | if (fVinit.GetSize()==limlo.GetSize())
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| 112 | fLimLo = limlo;
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| 113 | else
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| 114 | *fLog << warn << "MTMinuit::SetLimits: size of limlo doesn't match number of parameters... ignored." << endl;
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| 115 |
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| 116 | if (fVinit.GetSize()==limup.GetSize())
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| 117 | fLimUp = limup;
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| 118 | else
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| 119 | *fLog << warn << "MTMinuit::SetLimits: size of limup doesn't match number of parameters... ignored." << endl;
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| 120 | }
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| 121 |
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| 122 | void MTMinuit::SetFixedParameters(const TArrayC &fix)
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| 123 | {
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| 124 | if (fVinit.GetSize()==fix.GetSize())
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| 125 | fFix = fix;
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| 126 | else
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| 127 | *fLog << warn << "MTMinuit::SetFixedParameters: size of fix doesn't match number of parameters... ignored." << endl;
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| 128 | }
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| 129 |
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| 130 | // -----------------------------------------------------------------------
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| 131 | //
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| 132 | // Interface to MINUIT
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| 133 | //
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| 134 | Bool_t MTMinuit::CallMinuit(TObject *objectfit , const TString &method, Bool_t nulloutput)
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| 135 | {
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| 136 | if (!fFcn(NULL))
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| 137 | {
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| 138 | *fLog << err << "CallMinuit: ERROR - fFcn not set... abort." << endl;
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| 139 | return kFALSE;
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| 140 | }
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| 141 | if (!fNames)
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| 142 | {
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| 143 | *fLog << err << "CallMinuit: ERROR - Parameters not set... abort." << endl;
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| 144 | return kFALSE;
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| 145 | }
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| 146 |
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| 147 | // Make a copy of fStep
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| 148 | TArrayD step(fStep);
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| 149 |
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| 150 | // Save gMinuit
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| 151 | TMinuit *const save = gMinuit;
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| 152 |
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| 153 | // Set the maximum number of parameters
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| 154 | if (fMinuit)
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| 155 | delete fMinuit;
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| 156 | fMinuit = new TMinuit(fVinit.GetSize());
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| 157 |
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| 158 | //
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| 159 | // Set the print level
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| 160 | // -1 no output except SHOW comands
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| 161 | // 0 minimum output
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| 162 | // 1 normal output (default)
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| 163 | // 2 additional ouput giving intermediate results
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| 164 | // 3 maximum output, showing progress of minimizations
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| 165 | //
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| 166 | fMinuit->SetPrintLevel(-1);
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| 167 |
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| 168 | //..............................................
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| 169 | // Printout for warnings
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| 170 | // SET WAR print warnings
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| 171 | // SET NOW suppress warnings
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| 172 | Int_t errWarn;
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| 173 | Double_t tmpwar = 0;
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| 174 | fMinuit->mnexcm("SET NOW", &tmpwar, 0, errWarn);
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| 175 | //fMinuit->mnexcm("SET WAR", &tmpwar, 0, errWarn);
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| 176 |
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| 177 | //..............................................
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| 178 | // Set the address of the minimization function
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| 179 | fMinuit->SetFCN(fFcn);
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| 180 |
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| 181 | //..............................................
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| 182 | // Store address of object to be used in fcn
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| 183 | fMinuit->SetObjectFit(objectfit);
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| 184 |
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| 185 | //..............................................
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| 186 | // Set starting values and step sizes for parameters
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| 187 | for (Int_t i=0; i<fVinit.GetSize(); i++)
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| 188 | {
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| 189 | if (!fMinuit->DefineParameter(i, fNames[i], fVinit[i], fStep[i], fLimLo[i], fLimUp[i]))
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| 190 | continue;
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| 191 |
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| 192 | *fLog << err << "CallMinuit: Error in defining parameter " << fNames[i] << endl;
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| 193 | return kFALSE;
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| 194 | }
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| 195 |
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| 196 | //
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| 197 | // Error definition :
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| 198 | //
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| 199 | // for chisquare function :
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| 200 | // up = 1.0 means calculate 1-standard deviation error
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| 201 | // = 4.0 means calculate 2-standard deviation error
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| 202 | //
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| 203 | // for log(likelihood) function :
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| 204 | // up = 0.5 means calculate 1-standard deviation error
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| 205 | // = 2.0 means calculate 2-standard deviation error
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| 206 | //
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| 207 | fMinuit->SetErrorDef(1.0);
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| 208 |
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| 209 | // Int_t errMigrad;
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| 210 | // Double_t tmp = 0;
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| 211 | // fMinuit->mnexcm("MIGRAD", &tmp, 0, errMigrad);
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| 212 |
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| 213 | // fix a parameter
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| 214 | for (Int_t i=0; i<fVinit.GetSize(); i++)
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| 215 | {
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| 216 | if (!fFix[i])
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| 217 | continue;
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| 218 |
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| 219 | fMinuit->FixParameter(i);
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| 220 | }
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| 221 |
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| 222 | //..............................................
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| 223 | // This doesn't seem to have any effect
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| 224 | // Set maximum number of iterations (default = 500)
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| 225 | //Int_t maxiter = 100000;
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| 226 | //fMinuit->SetMaxIterations(maxiter);
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| 227 |
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| 228 | // minimization by the method of Migrad
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| 229 | Int_t fErrMinimize=0;
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| 230 | if (method.Contains("Migrad", TString::kIgnoreCase))
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| 231 | {
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| 232 | if (nulloutput)
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| 233 | fLog->SetNullOutput(kTRUE);
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| 234 | Double_t tmp = 0;
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| 235 | fMinuit->mnexcm("MIGRAD", &tmp, 0, fErrMinimize);
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| 236 | if (nulloutput)
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| 237 | fLog->SetNullOutput(kFALSE);
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| 238 | }
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| 239 |
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| 240 | //..............................................
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| 241 | // same minimization as by Migrad
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| 242 | // but switches to the SIMPLEX method if MIGRAD fails to converge
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| 243 | if (method.Contains("Minimize", TString::kIgnoreCase))
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| 244 | {
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| 245 | Double_t tmp = 0;
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| 246 | fMinuit->mnexcm("MINIMIZE", &tmp, 0, fErrMinimize);
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| 247 | }
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| 248 |
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| 249 | //..............................................
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| 250 | // minimization by the SIMPLEX method
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| 251 | if (method.Contains("Simplex", TString::kIgnoreCase))
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| 252 | {
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| 253 | Double_t tmp[2];
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| 254 | tmp[0] = 3000; // maxcalls;
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| 255 | tmp[1] = 0.1; // tolerance;
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| 256 |
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| 257 | if (nulloutput)
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| 258 | fLog->SetNullOutput(kTRUE);
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| 259 | fMinuit->mnexcm("SIMPLEX", &tmp[0], 2, fErrMinimize);
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| 260 | if (nulloutput)
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| 261 | fLog->SetNullOutput(kFALSE);
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| 262 | }
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| 263 |
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| 264 | //..............................................
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| 265 | // check quality of minimization
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| 266 | // istat = 0 covariance matrix not calculated
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| 267 | // 1 diagonal approximation only (not accurate)
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| 268 | // 2 full matrix, but forced positive-definite
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| 269 | // 3 full accurate covariance matrix
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| 270 | // (indication of normal convergence)
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| 271 | Double_t fMin, fEdm, fErrdef;
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| 272 | Int_t fNpari, fNparx, fIstat;
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| 273 | fMinuit->mnstat(fMin, fEdm, fErrdef, fNpari, fNparx, fIstat);
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| 274 |
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| 275 | if (fErrMinimize != 0)
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| 276 | {
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| 277 | *fLog << err << "CallMinuit: Minimization failed with:" << endl;
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| 278 | *fLog << " fMin = " << fMin << endl;
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| 279 | *fLog << " fEdm = " << fEdm << endl;
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| 280 | *fLog << " fErrdef = " << fErrdef << endl;
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| 281 | *fLog << " fIstat = " << fIstat << endl;
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| 282 | *fLog << " fErrMinimize = " << fErrMinimize << endl;
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| 283 | return kFALSE;
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| 284 | }
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| 285 |
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| 286 | //..............................................
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| 287 | // minimization by the method of Migrad
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| 288 | if (method.Contains("Hesse", TString::kIgnoreCase))
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| 289 | {
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| 290 | Double_t tmp = 0;
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| 291 | fMinuit->mnexcm("HESSE", &tmp, 0, fErrMinimize);
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| 292 | }
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| 293 |
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| 294 | //..............................................
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| 295 | // Minos error analysis
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| 296 | if (method.Contains("Minos", TString::kIgnoreCase))
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| 297 | {
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| 298 | Double_t tmp = 0;
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| 299 | fMinuit->mnexcm("MINOS", &tmp, 0, fErrMinimize);
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| 300 | }
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| 301 |
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| 302 | //..............................................
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| 303 | // Print current status of minimization
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| 304 | // if nkode = 0 only function value
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| 305 | // 1 parameter values, errors, limits
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| 306 | // 2 values, errors, step sizes, internal values
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| 307 | // 3 values, errors, step sizes, 1st derivatives
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| 308 | // 4 values, parabolic errors, MINOS errors
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| 309 |
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| 310 | //Int_t nkode = 4;
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| 311 | //fMinuit->mnprin(nkode, fmin);
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| 312 |
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| 313 | //..............................................
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| 314 | // call fcn with IFLAG = 3 (final calculation : calculate p(chi2))
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| 315 | // iflag = 1 initial calculations only
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| 316 | // 2 calculate 1st derivatives and function
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| 317 | // 3 calculate function only
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| 318 | // 4 calculate function + final calculations
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| 319 | Double_t iflag = 3;
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| 320 | Int_t errfcn3;
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| 321 | fMinuit->mnexcm("CALL", &iflag, 1, errfcn3);
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| 322 |
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| 323 | // WW : the following statements were commented out because the
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| 324 | // Minuit object will still be used;
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| 325 | // this may be changed in the future
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| 326 | gMinuit = save;
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| 327 |
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| 328 | return kTRUE;
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| 329 | }
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