GaussLegendreWeightAndAbscissaFunction (OpenGamma Strata)

java.lang.Object
- com.opengamma.strata.math.impl.integration.GaussLegendreWeightAndAbscissaFunction

All Implemented Interfaces:

QuadratureWeightAndAbscissaFunction
```
public class GaussLegendreWeightAndAbscissaFunction
extends Object
implements QuadratureWeightAndAbscissaFunction
```
Class that generates weights and abscissas for Gauss-Legendre quadrature. The weights $w_i$ are given by: $$ \begin{align*} w_i = \frac{2}{(1 - x_i^2) L_i'(x_i)^2} \end{align*} $$ where $x_i$ is the $i^{th}$ root of the orthogonal polynomial and $L_i'$ is the first derivative of the $i^{th}$ polynomial. The orthogonal polynomial is generated by LegendrePolynomialFunction.

- Constructor Summary
  
  Constructors
  Constructor Description
  
  GaussLegendreWeightAndAbscissaFunction()
- Method Summary
  
  All Methods Instance Methods Concrete Methods
  Modifier and Type Method Description
  
  GaussianQuadratureData generate(int n)
  - Methods inherited from class java.lang.Object
    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Constructor Detail
  - GaussLegendreWeightAndAbscissaFunction
```
public GaussLegendreWeightAndAbscissaFunction()
```
- Method Detail
  - generate
```
public GaussianQuadratureData generate(int n)
```
    Specified by:
    
    generate in interface QuadratureWeightAndAbscissaFunction
    
    Parameters:
    
    n - The number of weights and abscissas to generate, not negative or zero
    
    Returns:
    
    An object containing the weights and abscissas