| 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 | Double_t GaussProb2D(Double_t x, Double_t sigma=1);
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| 20 |
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| 21 | template <class Size, class Element> void ReSortImp(Size n, Element *a, Bool_t down=kFALSE);
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| 22 | void ReSort(Long64_t n, Short_t *a, Bool_t down=kFALSE);
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| 23 | void ReSort(Long64_t n, Int_t *a, Bool_t down=kFALSE);
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| 24 | void ReSort(Long64_t n, Float_t *a, Bool_t down=kFALSE);
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| 25 | void ReSort(Long64_t n, Double_t *a, Bool_t down=kFALSE);
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| 26 |
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| 27 | 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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| 28 | template <class Size, class Element> Double_t MedianDevImp(Size n, const Element *a, Double_t &med);
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| 29 | Double_t MedianDev(Long64_t n, const Short_t *a, Double_t &med);
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| 30 | Double_t MedianDev(Long64_t n, const Int_t *a, Double_t &med);
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| 31 | Double_t MedianDev(Long64_t n, const Float_t *a, Double_t &med);
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| 32 | Double_t MedianDev(Long64_t n, const Double_t *a, Double_t &med);
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| 33 | Double_t MedianDev(Long64_t n, const Long_t *a, Double_t &med);
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| 34 | Double_t MedianDev(Long64_t n, const Long64_t *a, Double_t &med);
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| 35 | Double_t MedianDev(Long64_t n, const Short_t *a);
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| 36 | Double_t MedianDev(Long64_t n, const Int_t *a);
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| 37 | Double_t MedianDev(Long64_t n, const Float_t *a);
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| 38 | Double_t MedianDev(Long64_t n, const Double_t *a);
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| 39 | Double_t MedianDev(Long64_t n, const Long_t *a);
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| 40 | Double_t MedianDev(Long64_t n, const Long64_t *a);
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| 41 |
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| 42 | Double_t Significance(Double_t s, Double_t b);
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| 43 | Double_t SignificanceSym(Double_t s, Double_t b);
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| 44 | Double_t SignificanceLiMa(Double_t s, Double_t b, Double_t alpha=1);
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| 45 | Double_t SignificanceLiMaSigned(Double_t s, Double_t b, Double_t alpha=1);
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| 46 | Double_t SignificanceExc(Double_t s, Double_t b, Double_t alpha=1);
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| 47 | Double_t ErrorExc(Double_t s, Double_t b, Double_t alpha=1);
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| 48 |
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| 49 | void ReducePrecision(Float_t &val);
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| 50 |
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| 51 | TVector3 GetParab(const TVector3 &x, const TVector3 &y);
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| 52 | Double_t InterpolParabLin(const TVector3 &vx, const TVector3 &vy, Double_t x);
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| 53 | Double_t InterpolParabLin(const TVector3 &vy, Double_t x);
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| 54 | Double_t InterpolParabLog(const TVector3 &vx, const TVector3 &vy, Double_t x);
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| 55 | Double_t InterpolParabCos(const TVector3 &vx, const TVector3 &vy, Double_t x);
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| 56 |
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| 57 | TVector2 GetIntersectionPoint(const TVector2 &x1, const TVector2 &y1, const TVector2 &x2, const TVector2 &y2, Bool_t &rc);
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| 58 | TVector2 GetIntersectionPoint(const TVector2 &x1, const TVector2 &y1, const TVector2 &x2, const TVector2 &y2);
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| 59 |
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| 60 | inline Int_t SolvePol1(Double_t c, Double_t d, Double_t &x1)
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| 61 | {
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| 62 | if (c==0)
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| 63 | return 0;
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| 64 |
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| 65 | x1 = -d/c;
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| 66 | return 1;
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| 67 | }
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| 68 | Int_t SolvePol2(Double_t c, Double_t d, Double_t &x1, Double_t &x2);
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| 69 | inline Int_t SolvePol2(Double_t b, Double_t c, Double_t d, Double_t &x1, Double_t &x2)
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| 70 | {
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| 71 | return b==0 ? SolvePol1(c, d, x1) : SolvePol2(c/b, d/b, x1, x2);
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| 72 | }
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| 73 | 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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| 74 | 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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| 75 | {
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| 76 | return a==0 ? SolvePol2(b, c, d, x1, x2) : SolvePol3(b/a, c/a, d/a, x1, x2, x3);
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| 77 | }
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| 78 |
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| 79 | TArrayD LeastSqFitExpW1(Int_t n, Double_t *x, Double_t *y);
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| 80 | TArrayD LeastSqFitExp(Int_t n, Double_t *x, Double_t *y);
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| 81 | TArrayD LeastSqFitLog(Int_t n, Double_t *x, Double_t *y);
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| 82 | TArrayD LeastSqFitPowerLaw(Int_t n, Double_t *x, Double_t *y);
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| 83 |
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| 84 | 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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| 85 |
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| 86 | inline Double_t Sqrt3(Double_t x) { return ::cbrt(x); }
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| 87 |
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| 88 | inline Double_t Sgn(Double_t d) { return d<0 ? -1 : 1; }
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| 89 |
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| 90 | void Format(Double_t &v, Double_t &e);
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| 91 |
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| 92 | Double_t RndmExp(Double_t tau);
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| 93 | Double_t RndmPSF(Double_t sigma=1);
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| 94 | }
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| 95 |
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| 96 | #endif
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