Qagi |
Adaptive integration on infinite interval (-Infinity,+Infinity).
Inheritance HierarchyNamespace: Altaxo.Calc.Integration
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
SyntaxC#
public class QagiIntegration : IntegrationBase
The QagiIntegration type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | QagiIntegration | Creates an instance of this integration class with a default integration rule and default debug flag setting. |
| QagiIntegration(Boolean) | Creates an instance of this integration class with a default integration rule and specified debug flag setting. |
| QagiIntegration(gsl_integration_rule, Boolean) | Creates an instance of this integration class with specified integration rule and specified debug flag setting. |
Properties| Name | Description | |
|---|---|---|
  | DefaultIntegrationRule | Returns the default integration rule used for this class. |
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, Int32, Double, Double) | Adaptive integration on infinite interval (-Infinity,+Infinity) using the integration rule and debug setting given in the constructor. |
| Integrate(FuncDouble, Double, Double, Double, Int32, gsl_integration_rule, Boolean, Double, Double) | Adaptive integration on infinite interval (-Infinity,+Infinity). |
| Integration(FuncDouble, Double, Double, Double, Int32, Double, Double) | Adaptive integration on infinite interval (-Infinity,+Infinity) using default settings for integration rule and debugging. |
| Integration(FuncDouble, Double, Double, Double, Int32, Double, Double, Object) | Adaptive integration on infinite interval (-Infinity,+Infinity) using default settings for integration rule and debugging. |
| Integration(FuncDouble, Double, Double, Double, Int32, gsl_integration_rule, Boolean, Double, Double) | Adaptive integration on infinite interval (-Infinity,+Infinity). |
| Integration(FuncDouble, Double, Double, Double, Int32, gsl_integration_rule, Boolean, Double, Double, Object) | Adaptive integration on infinite interval (-Infinity,+Infinity). |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object) |
| ToString | Returns a string that represents the current object. (Inherited from Object) |
Remarks
This class computes the integral of the function f over the infinite interval
(-Infinity,+Infinity). The integral is mapped onto the semi-open interval (0, 1] using the
transformation x = (1 - t)/t.
It is then integrated using the QAGS algorithm. The normal 21-point Gauss-Kronrod
rule of QAGS is replaced by a 15-point rule, because the transformation can generate
an integrable singularity at the origin. In this case a lower-order rule is more efficient.
Ref.: Gnu Scientific library reference manual (http://www.gnu.org/software/gsl/)
See Also