TMath

class TMath

    private:

      Double_t GamCf(Double_t a, Double_t x)
      Double_t GamSer(Double_t a, Double_t x)

    public:

                TMath TMath()
                TMath TMath(TMath&)
                 void ~TMath()
              Short_t Abs(Short_t d)
                Int_t Abs(Int_t d)
               Long_t Abs(Long_t d)
              Float_t Abs(Float_t d)
             Double_t Abs(Double_t d)
             Double_t ACos(Double_t x)
             Double_t ACosH(Double_t)
             Double_t ASin(Double_t x)
             Double_t ASinH(Double_t)
             Double_t ATan(Double_t x)
             Double_t ATan2(Double_t y, Double_t x)
             Double_t Atan2(Long_t x, Long_t y)
             Double_t ATanH(Double_t)
                Int_t BinarySearch(Int_t n, Short_t* array, Short_t value)
                Int_t BinarySearch(Int_t n, Short_t** array, Short_t value)
                Int_t BinarySearch(Int_t n, Int_t* array, Int_t value)
                Int_t BinarySearch(Int_t n, Int_t** array, Int_t value)
                Int_t BinarySearch(Int_t n, Float_t* array, Float_t value)
                Int_t BinarySearch(Int_t n, Float_t** array, Float_t value)
                Int_t BinarySearch(Int_t n, Double_t* array, Double_t value)
                Int_t BinarySearch(Int_t n, Double_t** array, Double_t value)
             Double_t Ceil(Double_t x)
              TClass* Class()
             Double_t Cos(Double_t x)
             Double_t CosH(Double_t x)
             Float_t* Cross(Float_t* v1, Float_t* v2, Float_t* out)
            Double_t* Cross(Double_t* v1, Double_t* v2, Double_t* out)
             Double_t E()
             Double_t Erf(Double_t x)
             Double_t Erfc(Double_t x)
               Bool_t Even(Long_t a)
             Double_t Exp(Double_t x)
             Double_t Floor(Double_t x)
             Double_t Gamma(Double_t z)
             Double_t Gamma(Double_t a, Double_t x)
             Double_t Gaus(Double_t x, Double_t mean = 0, Double_t sigma = 1)
              ULong_t Hash(void* txt, Int_t ntxt)
              ULong_t Hash(char* str)
             Double_t Hypot(Double_t x, Double_t y)
               Long_t Hypot(Long_t x, Long_t y)
      virtual TClass* IsA()
             Double_t Landau(Double_t x, Double_t mean = 0, Double_t sigma = 1)
             Double_t LnGamma(Double_t z)
                Int_t LocMax(Int_t n, Short_t* a)
                Int_t LocMax(Int_t n, Int_t* a)
                Int_t LocMax(Int_t n, Float_t* a)
                Int_t LocMax(Int_t n, Double_t* a)
                Int_t LocMin(Int_t n, Short_t* a)
                Int_t LocMin(Int_t n, Int_t* a)
                Int_t LocMin(Int_t n, Float_t* a)
                Int_t LocMin(Int_t n, Double_t* a)
             Double_t Log(Double_t x)
             Double_t Log10(Double_t x)
             Double_t Log2(Double_t x)
              Short_t Max(Short_t a, Short_t b)
             UShort_t Max(UShort_t a, UShort_t b)
                Int_t Max(Int_t a, Int_t b)
               UInt_t Max(UInt_t a, UInt_t b)
               Long_t Max(Long_t a, Long_t b)
              ULong_t Max(ULong_t a, ULong_t b)
              Float_t Max(Float_t a, Float_t b)
             Double_t Max(Double_t a, Double_t b)
              Short_t Min(Short_t a, Short_t b)
             UShort_t Min(UShort_t a, UShort_t b)
                Int_t Min(Int_t a, Int_t b)
               UInt_t Min(UInt_t a, UInt_t b)
               Long_t Min(Long_t a, Long_t b)
              ULong_t Min(ULong_t a, ULong_t b)
              Float_t Min(Float_t a, Float_t b)
             Double_t Min(Double_t a, Double_t b)
               Long_t NextPrime(Long_t x)
                Int_t Nint(Float_t x)
                Int_t Nint(Double_t x)
             Float_t* Normal2Plane(Float_t* v1, Float_t* v2, Float_t* v3, Float_t* normal)
            Double_t* Normal2Plane(Double_t* v1, Double_t* v2, Double_t* v3, Double_t* normal)
              Float_t Normalize(Float_t* v)
             Double_t Normalize(Double_t* v)
              Float_t NormCross(Float_t* v1, Float_t* v2, Float_t* out)
             Double_t NormCross(Double_t* v1, Double_t* v2, Double_t* out)
               Bool_t Odd(Long_t a)
             Double_t Pi()
             Double_t Power(Double_t x, Double_t y)
             Double_t Prob(Double_t chi2, Int_t ndf)
              Short_t Range(Short_t lb, Short_t ub, Short_t x)
                Int_t Range(Int_t lb, Int_t ub, Int_t x)
               Long_t Range(Long_t lb, Long_t ub, Long_t x)
              ULong_t Range(ULong_t lb, ULong_t ub, ULong_t x)
             Double_t Range(Double_t lb, Double_t ub, Double_t x)
         virtual void ShowMembers(TMemberInspector& insp, char* parent)
              Short_t Sign(Short_t a, Short_t b)
                Int_t Sign(Int_t a, Int_t b)
               Long_t Sign(Long_t a, Long_t b)
              Float_t Sign(Float_t a, Float_t b)
             Double_t Sign(Double_t a, Double_t b)
             Double_t Sin(Double_t x)
                 void Sincos(Double_t a, Double_t* sin, Double_t* cos)
             Double_t SinH(Double_t x)
                 void Sort(Int_t n, Short_t* a, Int_t* index, Bool_t down = kTRUE)
                 void Sort(Int_t n, Int_t* a, Int_t* index, Bool_t down = kTRUE)
                 void Sort(Int_t n, Float_t* a, Int_t* index, Bool_t down = kTRUE)
                 void Sort(Int_t n, Double_t* a, Int_t* index, Bool_t down = kTRUE)
             Double_t Sqrt(Double_t x)
               Long_t Sqrt(Long_t x)
         virtual void Streamer(TBuffer& b)
             Double_t Tan(Double_t x)
             Double_t TanH(Double_t x)

  Data Members

Class Description

                                                                      
 TMath                                                                
                                                                      
 Encapsulate math routines (i.e. provide a kind of namespace).        
 For the time being avoid templates.                                  
                                                                      

 Return next prime number after x.

 Calculate the Cross Product of two vectors
         out = [v1 x v2]

 Calculate the Cross Product of two vectors
         out = [v1 x v2]

 Computation of the error function erf(x).

--- NvE 14-nov-1998 UU-SAP Utrecht

 Computation of the complementary error function erfc(x).

 The algorithm is based on a Chebyshev fit as denoted in
 Numerical Recipes 2nd ed. on p. 214 (W.H.Press et al.).

 The fractional error is always less than 1.2e-7.

--- Nve 14-nov-1998 UU-SAP Utrecht

 Computation of gamma(z) for all z>0.

 The algorithm is based on the article by C.Lanczos [1] as denoted in
 Numerical Recipes 2nd ed. on p. 207 (W.H.Press et al.).

 [1] C.Lanczos, SIAM Journal of Numerical Analysis B1 (1964), 86.

--- Nve 14-nov-1998 UU-SAP Utrecht

 Computation of the incomplete gamma function P(a,x)

 The algorithm is based on the formulas and code as denoted in
 Numerical Recipes 2nd ed. on p. 210-212 (W.H.Press et al.).

--- Nve 14-nov-1998 UU-SAP Utrecht

 Computation of the incomplete gamma function P(a,x)
 via its continued fraction representation.

 The algorithm is based on the formulas and code as denoted in
 Numerical Recipes 2nd ed. on p. 210-212 (W.H.Press et al.).

--- Nve 14-nov-1998 UU-SAP Utrecht

 Computation of the incomplete gamma function P(a,x)
 via its series representation.

 The algorithm is based on the formulas and code as denoted in
 Numerical Recipes 2nd ed. on p. 210-212 (W.H.Press et al.).

--- Nve 14-nov-1998 UU-SAP Utrecht

 Calculate a gaussian function with mean and sigma

 The LANDAU function with mean and sigma.
 This function has been adapted from the CERNLIB routine G110 denlan.

 Computation of ln[gamma(z)] for all z>0.

 The algorithm is based on the article by C.Lanczos [1] as denoted in
 Numerical Recipes 2nd ed. on p. 207 (W.H.Press et al.).

 [1] C.Lanczos, SIAM Journal of Numerical Analysis B1 (1964), 86.

 The accuracy of the result is better than 2e-10.

--- Nve 14-nov-1998 UU-SAP Utrecht

 Normalize a vector v in place
 Return:
    The norm of the original vector

 Normalize a vector v in place
  Return:
    The norm of the original vector

 Calculate a normal vector of a plane

  Input:
     Float_t *p1,*p2,*p3  -  3 3D points belonged the plane to define it.

  Return:
     Pointer to 3D normal vector (normalized)

 Calculate a normal vector of a plane

  Input:
     Float_t *p1,*p2,*p3  -  3 3D points belonged the plane to define it.

  Return:
     Pointer to 3D normal vector (normalized)

 Computation of the probability for a certain Chi-squared (chi2)
 and number of degrees of freedom (ndf).

 Calculations are based on the incomplete gamma function P(a,x),
 where a=ndf/2 and x=chi2/2.

 P(a,x) represents the probability that the observed Chi-squared
 for a correct model should be less than the value chi2.

 The returned probability corresponds to 1-P(a,x),
 which denotes the probability that an observed Chi-squared exceeds
 the value chi2 by chance, even for a correct model.

--- NvE 14-nov-1998 UU-SAP Utrecht

 Return index of array with the minimum element
 If more than one element is minimum returns first found

 Return index of array with the minimum element
 If more than one element is minimum returns first found

 Return index of array with the minimum element
 If more than one element is minimum returns first found

 Return index of array with the minimum element
 If more than one element is minimum returns first found

 Return index of array with the maximum element
 If more than one element is maximum returns first found

 Return index of array with the maximum element
 If more than one element is maximum returns first found

 Return index of array with the maximum element
 If more than one element is maximum returns first found

 Return index of array with the maximum element
 If more than one element is maximum returns first found

 Binary search in an array of n values to locate value

 Array is supposed  to be sorted prior to this call.
 If match is found, function returns position of element.
 If no match found, function gives nearest element smaller than value.

 Binary search in an array of n values to locate value

 Array is supposed  to be sorted prior to this call.
 If match is found, function returns position of element.
 If no match found, function gives nearest element smaller than value.

 Binary search in an array of n values to locate value

 Array is supposed  to be sorted prior to this call.
 If match is found, function returns position of element.
 If no match found, function gives nearest element smaller than value.

 Binary search in an array of n values to locate value

 Array is supposed  to be sorted prior to this call.
 If match is found, function returns position of element.
 If no match found, function gives nearest element smaller than value.

 Binary search in an array of n values to locate value

 Array is supposed  to be sorted prior to this call.
 If match is found, function returns position of element.
 If no match found, function gives nearest element smaller than value.

 Binary search in an array of n values to locate value

 Array is supposed  to be sorted prior to this call.
 If match is found, function returns position of element.
 If no match found, function gives nearest element smaller than value.

 Binary search in an array of n values to locate value

 Array is supposed  to be sorted prior to this call.
 If match is found, function returns position of element.
 If no match found, function gives nearest element smaller than value.

 Binary search in an array of n values to locate value

 Array is supposed  to be sorted prior to this call.
 If match is found, function returns position of element.
 If no match found, function gives nearest element smaller than value.

  Sort the n1 elements of the Short_t array a.
  In output the array index contains the indices of the sorted array.
  If down is false sort in increasing order (default is decreasing order).
  This is a translation of the CERNLIB routine sortzv (M101)
  based on the quicksort algorithm.
  NOTE that the array index must be created with a length >= n1
  before calling this function.

  Sort the n1 elements of the Int_t array a.
  In output the array index contains the indices of the sorted array.
  If down is false sort in increasing order (default is decreasing order).
  This is a translation of the CERNLIB routine sortzv (M101)
  based on the quicksort algorithm.
  NOTE that the array index must be created with a length >= n1
  before calling this function.

  Sort the n1 elements of the Float_t array a.
  In output the array index contains the indices of the sorted array.
  If down is false sort in increasing order (default is decreasing order).
  This is a translation of the CERNLIB routine sortzv (M101)
  based on the quicksort algorithm.
  NOTE that the array index must be created with a length >= n1
  before calling this function.

  Sort the n1 elements of the Double_t array a.
  In output the array index contains the indices of the sorted array.
  If down is false sort in increasing order (default is decreasing order).
  This is a translation of the CERNLIB routine sortzv (M101)
  based on the quicksort algorithm.
  NOTE that the array index must be created with a length >= n1
  before calling this function.

 Calculates hash index from any char string
 based on precalculated table of 256 specially selected
 random numbers.

   For string:  i = TExMap::Hash(string,nstring);
   For int:     i = TExMap::Hash(&intword,sizeof(int));
   For pointer: i = TExMap::Hash(&pointer,sizeof(void*));

   Limitation: for ntxt>256 calculates hash only from first 256 bytes

              V.Perev

Inline Functions

           Double_t Pi()
           Double_t E()
           Double_t Sin(Double_t x)
           Double_t Cos(Double_t x)
           Double_t Tan(Double_t x)
           Double_t SinH(Double_t x)
           Double_t CosH(Double_t x)
           Double_t TanH(Double_t x)
           Double_t ASin(Double_t x)
           Double_t ACos(Double_t x)
           Double_t ATan(Double_t x)
           Double_t ATan2(Double_t y, Double_t x)
           Double_t Exp(Double_t x)
           Double_t Power(Double_t x, Double_t y)
           Double_t Log(Double_t x)
           Double_t Log10(Double_t x)
             Long_t Sqrt(Long_t x)
             Long_t Hypot(Long_t x, Long_t y)
            Short_t Abs(Short_t d)
              Int_t Abs(Int_t d)
             Long_t Abs(Long_t d)
            Float_t Abs(Float_t d)
           Double_t Abs(Double_t d)
             Bool_t Even(Long_t a)
             Bool_t Odd(Long_t a)
            Short_t Sign(Short_t a, Short_t b)
              Int_t Sign(Int_t a, Int_t b)
             Long_t Sign(Long_t a, Long_t b)
            Float_t Sign(Float_t a, Float_t b)
           Double_t Sign(Double_t a, Double_t b)
            Short_t Min(Short_t a, Short_t b)
           UShort_t Min(UShort_t a, UShort_t b)
              Int_t Min(Int_t a, Int_t b)
             UInt_t Min(UInt_t a, UInt_t b)
             Long_t Min(Long_t a, Long_t b)
            ULong_t Min(ULong_t a, ULong_t b)
            Float_t Min(Float_t a, Float_t b)
           Double_t Min(Double_t a, Double_t b)
            Short_t Max(Short_t a, Short_t b)
           UShort_t Max(UShort_t a, UShort_t b)
              Int_t Max(Int_t a, Int_t b)
             UInt_t Max(UInt_t a, UInt_t b)
             Long_t Max(Long_t a, Long_t b)
            ULong_t Max(ULong_t a, ULong_t b)
            Float_t Max(Float_t a, Float_t b)
           Double_t Max(Double_t a, Double_t b)
            Short_t Range(Short_t lb, Short_t ub, Short_t x)
              Int_t Range(Int_t lb, Int_t ub, Int_t x)
             Long_t Range(Long_t lb, Long_t ub, Long_t x)
            ULong_t Range(ULong_t lb, ULong_t ub, ULong_t x)
           Double_t Range(Double_t lb, Double_t ub, Double_t x)
            Float_t NormCross(Float_t* v1, Float_t* v2, Float_t* out)
           Double_t NormCross(Double_t* v1, Double_t* v2, Double_t* out)
            TClass* Class()
            TClass* IsA()
               void ShowMembers(TMemberInspector& insp, char* parent)
               void Streamer(TBuffer& b)
              TMath TMath()
              TMath TMath(TMath&)
               void ~TMath()