class ROOT::Math::IntegratorOneDim

 constructors

        Constructor of one dimensional Integrator, default type is adaptive

       @param type   integration type (adaptive, non-adaptive, etc..)
       @param absTol desired absolute Error
       @param relTol desired relative Error
       @param size maximum number of sub-intervals
       @param rule  Gauss-Kronrod integration rule (only for GSL kADAPTIVE type)

       Possible type values are : kGAUSS (simple Gauss method), kADAPTIVE (from GSL), kADAPTIVESINGULAR (from GSL), kNONADAPTIVE (from GSL)
       Possible rule values are kGAUS15 (rule = 1), kGAUS21( rule = 2), kGAUS31(rule =3), kGAUS41 (rule=4), kGAUS51 (rule =5), kGAUS61(rule =6)
       lower rules are indicated for singular functions while higher for smooth functions to get better accuracies

       NOTE: When the default values are passed, the values used are taken from the default defined in ROOT::Math::IntegratorOneDimOptions

       Constructor of one dimensional Integrator passing a function interface

       @param f      integration function (1D interface). It is copied inside
       @param type   integration type (adaptive, non-adaptive, etc..)
       @param absTol desired absolute Error
       @param relTol desired relative Error
       @param size maximum number of sub-intervals
       @param rule Gauss-Kronrod integration rule (only for GSL ADAPTIVE type)

       NOTE: When the default values are passed, the values used are taken from the default defined in ROOT::Math::IntegratorOneDimOptions

        Template Constructor of one dimensional Integrator passing a generic function object

       @param f      integration function (any C++ callable object implementing operator()(double x)
       @param type   integration type (adaptive, non-adaptive, etc..)
       @param absTol desired absolute Error
       @param relTol desired relative Error
       @param size maximum number of sub-intervals
       @param rule Gauss-Kronrod integration rule (only for GSL ADAPTIVE type)

 destructor (will delete contained pointer)

 integration methods using a function

       evaluate the Integral of a function f over the defined interval (a,b)
       @param f integration function. The function type must be a C++ callable object implementing operator()(double x)
       @param a lower value of the integration interval
       @param b upper value of the integration interval

       evaluate the Integral of a function f over the defined interval (a,b)
       @param f integration function. The function type must implement the mathlib::IGenFunction interface
       @param a lower value of the integration interval
       @param b upper value of the integration interval

      evaluate the Integral of a function f over the infinite interval (-inf,+inf)
       @param f integration function. The function type must be a C++ callable object implementing operator()(double x)

    template<class Function>
    double Integral(const Function & f);

      evaluate the Integral of a function f over the infinite interval (-inf,+inf)
      @param f integration function. The function type must implement the mathlib::IGenFunction interface

      evaluate the Integral of a function f over the semi-infinite interval (a,+inf)
      @param f integration function. The function type must be a C++ callable object implementing operator()(double x)
      @param a lower value of the integration interval

    template<class Function>
    double IntegralUp(Function & f, double a);

      evaluate the Integral of a function f over the semi-infinite interval (a,+inf)
      @param f integration function. The function type must implement the mathlib::IGenFunction interface
      @param a lower value of the integration interval

      evaluate the Integral of a function f over the over the semi-infinite interval (-inf,b)
      @param f integration function. The function type must be a C++ callable object implementing operator()(double x)
      @param b upper value of the integration interval

    template<class Function>
    double IntegralLow(Function & f, double b);

      evaluate the Integral of a function f over the over the semi-infinite interval (-inf,b)
      @param f integration function. The function type must implement the mathlib::IGenFunction interface
      @param b upper value of the integration interval

      evaluate the Cauchy principal value of the integral of  a function f over the defined interval (a,b) with a singularity at c
      @param f integration function. The function type must be a C++ callable object implementing operator()(double x)
      @param a lower value of the integration interval
      @param b upper value of the integration interval
      @param c position of singularity

       define operator() for IntegralLow

      return  the Result of the last Integral calculation

      return the estimate of the absolute Error of the last Integral calculation

      return the Error Status of the last Integral calculation

      return number of function evaluations in calculating the integral
      (if integrator do not implement this function returns -1)

 setter for control Parameters  (getters are not needed so far )

      set the desired relative Error

      set the desired absolute Error

      return a pointer to integrator object

       set the options

 return name of integrator

 static function to get the enumeration from a string

 static function to get a string from the enumeration