class ROOT::Math::GSLIntegrator: public ROOT::Math::VirtualIntegratorOneDim

 constructors
 Default constructor of GSL Integrator for Adaptive Singular integration

      @param absTol desired absolute Error
      @param relTol desired relative Error
      @param size maximum number of sub-intervals

 constructor of GSL Integrator. In the case of Adaptive integration the Gauss-Krond rule of 31 points is used

         @param type type of integration. The possible types are defined in the Integration::Type enumeration
         @param absTol desired absolute Error
         @param relTol desired relative Error
         @param size maximum number of sub-intervals

         generic constructor for GSL Integrator

       @param type type of integration. The possible types are defined in the Integration::Type enumeration
       @param rule Gauss-Kronrod rule. It is used only for ADAPTIVE::Integration types. The possible rules are defined in the Integration::GKRule enumeration
       @param absTol desired absolute Error
       @param relTol desired relative Error
       @param size maximum number of sub-intervals

 constructor of GSL Integrator. In the case of Adaptive integration the Gauss-Krond rule of 31 points is used
          This is used by the plug-in manager (need a char * instead of enumerations)

         @param type type of integration. The possible types are defined in the Integration::Type enumeration
         @param rule Gauss-Kronrod rule (from 1 to 6)
         @param absTol desired absolute Error
         @param relTol desired relative Error
         @param size maximum number of sub-intervals

~GSLIntegrator();

 disable copy ctrs

 template methods for generic functors

         method to set the a generic integration function

          @param f integration function. The function type must implement the assigment operator, <em>  double  operator() (  double  x ) </em>

         Set function from a GSL pointer function type

 methods using IGenFunction

         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 implement the mathlib::IGenFunction interface

	evaluate the Cauchy principal value of the integral of  a previously defined function f over
        the defined interval (a,b) with a singularity at c
        @param a lower interval value
        @param b lower interval value
        @param c singular value of f

	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 implement the mathlib::IGenFunction interface
        @param a lower interval value
        @param b lower interval value
        @param c singular value of f

         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 implement the mathlib::IGenFunction interface
       @param b upper value of the integration interval

         evaluate the Integral of a function f with known singular points over the defined Integral (a,b)
       @param f integration function. The function type must implement the mathlib::IGenFunction interface
       @param pts vector containing both the function singular points and the lower/upper edges of the interval. The vector must have as first element the lower edge of the integration Integral ( \a a) and last element the upper value.

 evaluate using cached function

         evaluate the Integral over the defined interval (a,b) using the function previously set with GSLIntegrator::SetFunction method
       @param a lower value of the integration interval
       @param b upper value of the integration interval

         evaluate the Integral over the infinite interval (-inf,+inf) using the function previously set with GSLIntegrator::SetFunction method.

         evaluate the Integral of a function f over the semi-infinite interval (a,+inf) using the function previously set with GSLIntegrator::SetFunction method.
       @param a lower value of the integration interval

         evaluate the Integral of a function f over the over the semi-infinite interval (-inf,b) using the function previously set with GSLIntegrator::SetFunction method.
       @param b upper value of the integration interval

         evaluate the Integral over the defined interval (a,b) using the function previously set with GSLIntegrator::SetFunction method. The function has known singular points.
       @param pts vector containing both the function singular points and the lower/upper edges of the interval. The vector must have as first element the lower edge of the integration Integral ( \a a) and last element the upper value.

 evaluate using free function pointer (same GSL signature)

         signature for function pointers used by GSL

typedef double ( * GSLFuncPointer ) ( double, void * );

         evaluate the Integral of  of a function f over the defined interval (a,b) passing a free function pointer
       The integration function must be a free function and have a signature consistent with GSL functions:

       <em>double my_function ( double x, void * p ) { ...... } </em>

       This method is the most efficient since no internal adapter to GSL function is created.
       @param f pointer to the integration function
       @param p pointer to the Parameters of the function
       @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) passing a free function pointer

         evaluate the Integral of a function f over the semi-infinite interval (a,+inf) passing a free function pointer

         evaluate the Integral of a function f over the over the semi-infinite interval (-inf,b) passing a free function pointer

         evaluate the Integral of a function f with knows singular points over the over a defined interval passing a free function pointer

         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

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

         set the desired relative Error

         set the desired absolute Error

         set the integration rule (Gauss-Kronrod rule).
       The possible rules are defined in the Integration::GKRule enumeration.
       The integration rule can be modified only for ADAPTIVE type integrations

 internal method to check validity of GSL function pointer