Gauss |
Approximates a definite integral using an Nth order Gauss-Legendre rule. Precomputed Gauss-Legendre abscissas/weights for orders 2-20, 32, 64, 96, 100, 128, 256, 512, 1024 are used, otherwise they're calculated on the fly.
Inheritance HierarchyNamespace: Altaxo.Calc.Integration
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
SyntaxC#
public class GaussLegendreRule
The GaussLegendreRule type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | GaussLegendreRule | Initializes a new instance of the GaussLegendreRule class. |
Properties| Name | Description | |
|---|---|---|
 | Abscissas | Getter that returns a clone of the array containing the abscissas. |
| IntervalBegin | Getter for the InvervalBegin. |
| IntervalEnd | Getter for the InvervalEnd. |
| Order | Getter for the order. |
| Weights | Getter that returns a clone of the array containing the weights. |
Methods| Name | Description | |
|---|---|---|
 | ContourIntegrate | Approximates a definite integral using an Nth order Gauss-Legendre rule. |
| 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) |
| GetAbscissa | Gettter for the ith abscissa. |
| GetHashCode | Serves as the default hash function. (Inherited from Object) |
| GetType | Gets the Type of the current instance. (Inherited from Object) |
| GetWeight | Getter for the ith weight. |
| Integrate(FuncDouble, Double, Double, Double, Int32) | Approximates a definite integral using an Nth order Gauss-Legendre rule. |
| Integrate(FuncDouble, Double, Double, Double, Double, Double, Double, Int32) | Approximates a 2-dimensional definite integral using an Nth order Gauss-Legendre rule over the rectangle [a,b] x [c,d]. |
| Integrate(FuncDouble, Double, Double, Double, Double, Double, Double, Double, Double, Double, Int32) | Approximates a 3-dimensional definite integral using an Nth order Gauss-Legendre rule over the cuboid [a1,a2] x [b1,b2] x [c1,c2]. |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object) |
| ToString | Returns a string that represents the current object. (Inherited from Object) |
See Also