ComputePi (Apache Commons RNG Examples 1.0 API)

```
public class ComputePi
extends MonteCarloIntegration
```
Computation of \( \pi \) using Monte-Carlo integration. The computation estimates the value by computing the probability that a point \( p = (x, y) \) will lie in the circle of radius \( r = 1 \) inscribed in the square of side \( r = 1 \). The probability could be computed by \[ area_{circle} / area_{square} \], where \( area_{circle} = \pi * r^2 \) and \( area_{square} = 4 r^2 \). Hence, the probability is \( \frac{\pi}{4} \). The Monte Carlo simulation will produce \( N \) points. Defining \( N_c \) as the number of point that satisfy \( x^2 + y^2 \le 1 \), we will have \( \frac{N_c}{N} \approx \frac{\pi}{4} \).

Constructors
Constructor and Description
`ComputePi(RandomSource source)`

All Methods Static Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`double`	`compute(long numPoints)`
`protected boolean`	`isInside(double... rand)` Indicates whether the given points is inside the region whose integral is computed.
`static void`	`main(String[] args)` Program entry point.

Methods inherited from class org.apache.commons.rng.examples.integration.MonteCarloIntegration
integrate

Class ComputePi