QagpIntegration Class

Adaptive integration with known singular points.

Inheritance Hierarchy

SystemObject
Altaxo.Calc.IntegrationIntegrationBase
Altaxo.Calc.IntegrationQagpIntegration

Namespace: Altaxo.Calc.Integration
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)

Syntax

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public class QagpIntegration : IntegrationBase

The QagpIntegration type exposes the following members.

Constructors

	Name	Description
	QagpIntegration	Creates an instance of this integration class with a default integration rule and default debug flag setting.
	QagpIntegration(Boolean)	Creates an instance of this integration class with a default integration rule and specified debug flag setting.
	QagpIntegration(gsl_integration_rule, Boolean)	Creates an instance of this integration class with specified integration rule and specified debug flag setting.

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Properties

	Name	Description
	DefaultIntegrationRule	Returns the default integration rule used for this class.

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Methods

	Name	Description
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object)
	GetHashCode	Serves as the default hash function. (Inherited from Object)
	GetType	Gets the Type of the current instance. (Inherited from Object)
	Integrate(FuncDouble, Double, Double, Double, Double, Int32, Double, Double)	Adaptive integration with known singular points using the integration rule and debug setting given in the constructor.
	Integrate(FuncDouble, Double, Double, Int32, Double, Double, Int32, Double, Double)	Adaptive integration with known singular points using the integration rule and debug setting given in the constructor.
	Integrate(FuncDouble, Double, Double, Double, Double, Int32, gsl_integration_rule, Boolean, Double, Double)	Adaptive integration with known singular points.
	Integrate(FuncDouble, Double, Double, Int32, Double, Double, Int32, gsl_integration_rule, Boolean, Double, Double)	Adaptive integration with known singular points.
	Integration(FuncDouble, Double, Double, Int32, Double, Double, Int32, Double, Double)	Adaptive integration with known singular points using default settings for integration rule and debugging.
	Integration(FuncDouble, Double, Double, Int32, Double, Double, Int32, Double, Double, Object)	Adaptive integration with known singular points using default settings for integration rule and debugging.
	Integration(FuncDouble, Double, Double, Int32, Double, Double, Int32, gsl_integration_rule, Boolean, Double, Double)	Adaptive integration with known singular points.
	Integration(FuncDouble, Double, Double, Int32, Double, Double, Int32, gsl_integration_rule, Boolean, Double, Double, Object)	Adaptive integration with known singular points.
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object)
	ToString	Returns a string that represents the current object. (Inherited from Object)

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Remarks

This class applies the adaptive integration algorithm QAGS taking account of the user-supplied locations of singular points. The array pts of length npts should contain the endpoints of the integration ranges defined by the integration region and locations of the singularities. For example, to integrate over the region (a, b) with break-points at x1, x2, x3 (where a < x1 < x2 < x3 < b) the following pts array should be used:

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pts[0] = a
pts[1] = x1
pts[2] = x2
pts[3] = x3
pts[4] = b

with npts = 5. If you know the locations of the singular points in the integration region then this routine will be faster than QAGS.

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

Reference

Altaxo.Calc.Integration Namespace