1 | #ifndef MARS_MMath
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2 | #define MARS_MMath
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3 |
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4 | #ifndef _MATH_H
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5 | #include <math.h> // Needed for darwin
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6 | #endif
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7 |
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8 | #ifndef ROOT_TMath
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9 | #include <TMath.h> // TMath is included here for convinience
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10 | #endif
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11 |
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12 | class TVector2;
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13 | class TVector3;
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14 | class TArrayD;
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15 |
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16 | namespace MMath
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17 | {
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18 | Double_t GaussProb(Double_t x, Double_t sigma=1, Double_t mean=0);
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19 |
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20 | template <class Size, class Element> Double_t MedianDevImp(Size n, const Element *a) { Double_t med; return MedianDevImp(n, a, med); }
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21 | template <class Size, class Element> Double_t MedianDevImp(Size n, const Element *a, Double_t &med);
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22 | Double_t MedianDev(Long64_t n, const Short_t *a, Double_t &med);
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23 | Double_t MedianDev(Long64_t n, const Int_t *a, Double_t &med);
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24 | Double_t MedianDev(Long64_t n, const Float_t *a, Double_t &med);
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25 | Double_t MedianDev(Long64_t n, const Double_t *a, Double_t &med);
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26 | Double_t MedianDev(Long64_t n, const Long_t *a, Double_t &med);
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27 | Double_t MedianDev(Long64_t n, const Long64_t *a, Double_t &med);
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28 | Double_t MedianDev(Long64_t n, const Short_t *a);
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29 | Double_t MedianDev(Long64_t n, const Int_t *a);
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30 | Double_t MedianDev(Long64_t n, const Float_t *a);
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31 | Double_t MedianDev(Long64_t n, const Double_t *a);
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32 | Double_t MedianDev(Long64_t n, const Long_t *a);
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33 | Double_t MedianDev(Long64_t n, const Long64_t *a);
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34 |
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35 | Double_t Significance(Double_t s, Double_t b);
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36 | Double_t SignificanceSym(Double_t s, Double_t b);
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37 | Double_t SignificanceLiMa(Double_t s, Double_t b, Double_t alpha=1);
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38 | Double_t SignificanceLiMaSigned(Double_t s, Double_t b, Double_t alpha=1);
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39 | Double_t SignificanceExc(Double_t s, Double_t b, Double_t alpha=1);
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40 | Double_t ErrorExc(Double_t s, Double_t b, Double_t alpha=1);
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41 |
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42 | void ReducePrecision(Float_t &val);
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43 |
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44 | TVector3 GetParab(const TVector3 &x, const TVector3 &y);
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45 | Double_t InterpolParabLin(const TVector3 &vx, const TVector3 &vy, Double_t x);
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46 | Double_t InterpolParabLin(const TVector3 &vy, Double_t x);
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47 | Double_t InterpolParabLog(const TVector3 &vx, const TVector3 &vy, Double_t x);
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48 | Double_t InterpolParabCos(const TVector3 &vx, const TVector3 &vy, Double_t x);
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49 |
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50 | TVector2 GetIntersectionPoint(const TVector2 &x1, const TVector2 &y1, const TVector2 &x2, const TVector2 &y2);
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51 |
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52 | inline Int_t SolvePol1(Double_t c, Double_t d, Double_t &x1)
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53 | {
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54 | if (c==0)
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55 | return 0;
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56 |
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57 | x1 = -d/c;
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58 | return 1;
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59 | }
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60 | Int_t SolvePol2(Double_t c, Double_t d, Double_t &x1, Double_t &x2);
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61 | inline Int_t SolvePol2(Double_t b, Double_t c, Double_t d, Double_t &x1, Double_t &x2)
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62 | {
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63 | return b==0 ? SolvePol1(c, d, x1) : SolvePol2(c/b, d/b, x1, x2);
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64 | }
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65 | Int_t SolvePol3(Double_t b, Double_t c, Double_t d, Double_t &x1, Double_t &x2, Double_t &x3);
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66 | inline Int_t SolvePol3(Double_t a, Double_t b, Double_t c, Double_t d, Double_t &x1, Double_t &x2, Double_t &x3)
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67 | {
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68 | return a==0 ? SolvePol2(b, c, d, x1, x2) : SolvePol3(b/a, c/a, d/a, x1, x2, x3);
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69 | }
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70 |
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71 | TArrayD LeastSqFitExpW1(Int_t n, Double_t *x, Double_t *y);
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72 | TArrayD LeastSqFitExp(Int_t n, Double_t *x, Double_t *y);
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73 | TArrayD LeastSqFitLog(Int_t n, Double_t *x, Double_t *y);
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74 | TArrayD LeastSqFitPowerLaw(Int_t n, Double_t *x, Double_t *y);
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75 |
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76 | inline Int_t ModF(Double_t dbl, Double_t &frac) { Double_t rc; frac = ::modf(dbl, &rc); return TMath::Nint(rc); }
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77 |
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78 | inline Double_t Sqrt3(Double_t x) { return ::cbrt(x); }
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79 |
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80 | inline Double_t Sgn(Double_t d) { return d<0 ? -1 : 1; }
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81 |
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82 | void Format(Double_t &v, Double_t &e);
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83 | }
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84 |
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85 | #endif
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