#ifndef MARS_MMath #define MARS_MMath #ifndef _MATH_H #include // Needed for darwin #endif #ifndef ROOT_TMath #include // TMath is included here for convinience #endif class TVector2; class TVector3; class TArrayD; namespace MMath { Double_t GaussProb(Double_t x, Double_t sigma=1, Double_t mean=0); Double_t GaussProb2D(Double_t x, Double_t sigma=1); template void ReSortImp(Size n, Element *a, Bool_t down=kFALSE); void ReSort(Long64_t n, Short_t *a, Bool_t down=kFALSE); void ReSort(Long64_t n, Int_t *a, Bool_t down=kFALSE); void ReSort(Long64_t n, Float_t *a, Bool_t down=kFALSE); void ReSort(Long64_t n, Double_t *a, Bool_t down=kFALSE); template Double_t MedianDevImp(Size n, const Element *a) { Double_t med; return MedianDevImp(n, a, med); } template Double_t MedianDevImp(Size n, const Element *a, Double_t &med); Double_t MedianDev(Long64_t n, const Short_t *a, Double_t &med); Double_t MedianDev(Long64_t n, const Int_t *a, Double_t &med); Double_t MedianDev(Long64_t n, const Float_t *a, Double_t &med); Double_t MedianDev(Long64_t n, const Double_t *a, Double_t &med); Double_t MedianDev(Long64_t n, const Long_t *a, Double_t &med); Double_t MedianDev(Long64_t n, const Long64_t *a, Double_t &med); Double_t MedianDev(Long64_t n, const Short_t *a); Double_t MedianDev(Long64_t n, const Int_t *a); Double_t MedianDev(Long64_t n, const Float_t *a); Double_t MedianDev(Long64_t n, const Double_t *a); Double_t MedianDev(Long64_t n, const Long_t *a); Double_t MedianDev(Long64_t n, const Long64_t *a); Double_t Significance(Double_t s, Double_t b); Double_t SignificanceSym(Double_t s, Double_t b); Double_t SignificanceLiMa(Double_t s, Double_t b, Double_t alpha=1); Double_t SignificanceLiMaSigned(Double_t s, Double_t b, Double_t alpha=1); Double_t SignificanceExc(Double_t s, Double_t b, Double_t alpha=1); Double_t ErrorExc(Double_t s, Double_t b, Double_t alpha=1); void ReducePrecision(Float_t &val); TVector3 GetParab(const TVector3 &x, const TVector3 &y); Double_t InterpolParabLin(const TVector3 &vx, const TVector3 &vy, Double_t x); Double_t InterpolParabLin(const TVector3 &vy, Double_t x); Double_t InterpolParabLog(const TVector3 &vx, const TVector3 &vy, Double_t x); Double_t InterpolParabCos(const TVector3 &vx, const TVector3 &vy, Double_t x); TVector2 GetIntersectionPoint(const TVector2 &x1, const TVector2 &y1, const TVector2 &x2, const TVector2 &y2, Bool_t &rc); TVector2 GetIntersectionPoint(const TVector2 &x1, const TVector2 &y1, const TVector2 &x2, const TVector2 &y2); inline Int_t SolvePol1(Double_t c, Double_t d, Double_t &x1) { if (c==0) return 0; x1 = -d/c; return 1; } Int_t SolvePol2(Double_t c, Double_t d, Double_t &x1, Double_t &x2); inline Int_t SolvePol2(Double_t b, Double_t c, Double_t d, Double_t &x1, Double_t &x2) { return b==0 ? SolvePol1(c, d, x1) : SolvePol2(c/b, d/b, x1, x2); } Int_t SolvePol3(Double_t b, Double_t c, Double_t d, Double_t &x1, Double_t &x2, Double_t &x3); 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) { return a==0 ? SolvePol2(b, c, d, x1, x2) : SolvePol3(b/a, c/a, d/a, x1, x2, x3); } TArrayD LeastSqFitExpW1(Int_t n, Double_t *x, Double_t *y); TArrayD LeastSqFitExp(Int_t n, Double_t *x, Double_t *y); TArrayD LeastSqFitLog(Int_t n, Double_t *x, Double_t *y); TArrayD LeastSqFitPowerLaw(Int_t n, Double_t *x, Double_t *y); inline Int_t ModF(Double_t dbl, Double_t &frac) { Double_t rc; frac = ::modf(dbl, &rc); return TMath::Nint(rc); } inline Double_t Sqrt3(Double_t x) { return ::cbrt(x); } inline Double_t Sgn(Double_t d) { return d<0 ? -1 : 1; } void Format(Double_t &v, Double_t &e); Double_t RndmExp(Double_t tau); Double_t RndmPSF(Double_t sigma=1); } #endif