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QawcIntegration Class

Adaptive integration for Cauchy principal values.
Inheritance Hierarchy
System.Object
  Altaxo.Calc.Integration.IntegrationBase
    Altaxo.Calc.Integration.QawcIntegration

Namespace: Altaxo.Calc.Integration
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3261.0 (4.8.3261.0)
Syntax
C#
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public class QawcIntegration : IntegrationBase

The QawcIntegration type exposes the following members.

Constructors
 NameDescription
Public methodQawcIntegration() Creates an instance of this integration class with a default integration rule and default debug flag setting.
Public methodQawcIntegration(Boolean) Creates an instance of this integration class with specified integration rule and specified debug flag setting.
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Methods
 NameDescription
Public methodEqualsDetermines whether the specified object is equal to the current object.
(Inherited from Object)
Protected methodFinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object)
Public methodGetHashCodeServes as the default hash function.
(Inherited from Object)
Public methodGetTypeGets the Type of the current instance.
(Inherited from Object)
Public methodIntegrate(Func<Double, Double>, Double, Double, Double, Double, Double, Int32, Double, Double) 
Public methodIntegrate(Func<Double, Double>, Double, Double, Double, Double, Double, Int32, Boolean, Double, Double) 
Public methodStatic memberIntegration(Func<Double, Double>, Double, Double, Double, Double, Double, Int32, Double, Double) 
Public methodStatic memberIntegration(Func<Double, Double>, Double, Double, Double, Double, Double, Int32, Boolean, Double, Double) 
Public methodStatic memberIntegration(Func<Double, Double>, Double, Double, Double, Double, Double, Int32, Double, Double, Object) 
Public methodStatic memberIntegration(Func<Double, Double>, Double, Double, Double, Double, Double, Int32, Boolean, Double, Double, Object) 
Protected methodMemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
Public methodToStringReturns a string that represents the current object.
(Inherited from Object)
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Remarks
This function computes the Cauchy principal value of the integral of f over (a, b), with a singularity at c. The adaptive bisection algorithm of QAG is used, with modifications to ensure that subdivisions do not occur at the singular point x = c. When a subinterval contains the point x = c or is close to it then a special 25-point modified Clenshaw-Curtis rule is used to control the singularity. Further away from the singularity the algorithm uses an ordinary 15-point Gauss-Kronrod integration rule.

Ref.: Gnu Scientific library reference manual (http://www.gnu.org/software/gsl/)

See Also