source: trunk/MagicSoft/Mars/mbase/MMath.h@ 9038

Last change on this file since 9038 was 8989, checked in by tbretz, 16 years ago
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1#ifndef MARS_MMath
2#define MARS_MMath
3
4#ifndef _MATH_H
5#include <math.h> // Needed for darwin
6#endif
7
8#ifndef ROOT_TMath
9#include <TMath.h> // TMath is included here for convinience
10#endif
11
12class TVector2;
13class TVector3;
14class TArrayD;
15
16namespace MMath
17{
18 Double_t GaussProb(Double_t x, Double_t sigma=1, Double_t mean=0);
19
20 template <class Size, class Element> Double_t MedianDevImp(Size n, const Element *a) { Double_t med; return MedianDevImp(n, a, med); }
21 template <class Size, class Element> Double_t MedianDevImp(Size n, const Element *a, Double_t &med);
22 Double_t MedianDev(Long64_t n, const Short_t *a, Double_t &med);
23 Double_t MedianDev(Long64_t n, const Int_t *a, Double_t &med);
24 Double_t MedianDev(Long64_t n, const Float_t *a, Double_t &med);
25 Double_t MedianDev(Long64_t n, const Double_t *a, Double_t &med);
26 Double_t MedianDev(Long64_t n, const Long_t *a, Double_t &med);
27 Double_t MedianDev(Long64_t n, const Long64_t *a, Double_t &med);
28 Double_t MedianDev(Long64_t n, const Short_t *a);
29 Double_t MedianDev(Long64_t n, const Int_t *a);
30 Double_t MedianDev(Long64_t n, const Float_t *a);
31 Double_t MedianDev(Long64_t n, const Double_t *a);
32 Double_t MedianDev(Long64_t n, const Long_t *a);
33 Double_t MedianDev(Long64_t n, const Long64_t *a);
34
35 Double_t Significance(Double_t s, Double_t b);
36 Double_t SignificanceSym(Double_t s, Double_t b);
37 Double_t SignificanceLiMa(Double_t s, Double_t b, Double_t alpha=1);
38 Double_t SignificanceLiMaSigned(Double_t s, Double_t b, Double_t alpha=1);
39 Double_t SignificanceExc(Double_t s, Double_t b, Double_t alpha=1);
40 Double_t ErrorExc(Double_t s, Double_t b, Double_t alpha=1);
41
42 void ReducePrecision(Float_t &val);
43
44 TVector3 GetParab(const TVector3 &x, const TVector3 &y);
45 Double_t InterpolParabLin(const TVector3 &vx, const TVector3 &vy, Double_t x);
46 Double_t InterpolParabLin(const TVector3 &vy, Double_t x);
47 Double_t InterpolParabLog(const TVector3 &vx, const TVector3 &vy, Double_t x);
48 Double_t InterpolParabCos(const TVector3 &vx, const TVector3 &vy, Double_t x);
49
50 TVector2 GetIntersectionPoint(const TVector2 &x1, const TVector2 &y1, const TVector2 &x2, const TVector2 &y2);
51
52 inline Int_t SolvePol1(Double_t c, Double_t d, Double_t &x1)
53 {
54 if (c==0)
55 return 0;
56
57 x1 = -d/c;
58 return 1;
59 }
60 Int_t SolvePol2(Double_t c, Double_t d, Double_t &x1, Double_t &x2);
61 inline Int_t SolvePol2(Double_t b, Double_t c, Double_t d, Double_t &x1, Double_t &x2)
62 {
63 return b==0 ? SolvePol1(c, d, x1) : SolvePol2(c/b, d/b, x1, x2);
64 }
65 Int_t SolvePol3(Double_t b, Double_t c, Double_t d, Double_t &x1, Double_t &x2, Double_t &x3);
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)
67 {
68 return a==0 ? SolvePol2(b, c, d, x1, x2) : SolvePol3(b/a, c/a, d/a, x1, x2, x3);
69 }
70
71 TArrayD LeastSqFitExpW1(Int_t n, Double_t *x, Double_t *y);
72 TArrayD LeastSqFitExp(Int_t n, Double_t *x, Double_t *y);
73 TArrayD LeastSqFitLog(Int_t n, Double_t *x, Double_t *y);
74 TArrayD LeastSqFitPowerLaw(Int_t n, Double_t *x, Double_t *y);
75
76 inline Int_t ModF(Double_t dbl, Double_t &frac) { Double_t rc; frac = ::modf(dbl, &rc); return TMath::Nint(rc); }
77
78 inline Double_t Sqrt3(Double_t x) { return ::cbrt(x); }
79
80 inline Double_t Sgn(Double_t d) { return d<0 ? -1 : 1; }
81
82 void Format(Double_t &v, Double_t &e);
83}
84
85#endif
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