JMEMath.Combinatoria

java.lang.Object
- jme.JMEMath.Combinatoria

Enclosing class:: JMEMath

public static class JMEMath.Combinatoria
extends java.lang.Object

COMBINATORIA

Constructor Summary

Constructors
Constructor and Description

Combinatoria()

Constructors
Constructor and Description
`Combinatoria()`

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method and Description
`static java.math.BigInteger`	`coeficienteMultinomial(long[] ni)` Calcula el coeficiente multinomial a partir de los coeficientes.
`static java.math.BigInteger`	`combinaciones(long m, long n)` Combinaciones de m elementos tomados de n en n
`static java.math.BigInteger`	`factorial(java.math.BigInteger n)` Factorial para BigInteger
`static double`	`factorial(double x)` factorial de un nº real (NaN para enteros negativos)
`static double`	`factorial(long n)` Factorial para Long
`static double`	`factorialAlternado(int n)` Factorial alternado (A005165)
`static java.math.BigInteger`	`factorialAlternadoBig(long n)` Factorial alternado exacto (A005165)
`static double`	`factorialDoble(long n)` Factorial doble para enteros positivos y negativos impares
`static double`	`hiperfactorial(int n)` Hiperfactorial (A002109)
`static java.math.BigInteger`	`hiperfactorialBig(long n)` Hiperfactorial exacto
`static double`	`primorial(long n)` Primorial de un natural
`static java.math.BigInteger`	`primorialBig(long n)` Primorial exacto de un natural
`static java.math.BigInteger`	`subfactorial(java.math.BigInteger n)` Subfactorial exacto usando fórmula recursiva `¡n=n(n-1)¡+(-1)^n`
`static double`	`subfactorial(long n)` Subfactorial [n!
`static double`	`superFactorial(int n)` Superfactorial de Sloane y Plouffe (A000178)
`static java.math.BigInteger`	`superFactorialBig(long n)` Superfactorial exacto de Sloane y Plouffe (A000178)

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Constructor Detail
  - Combinatoria
```
public Combinatoria()
```
- Method Detail
  - factorial
```
public static double factorial(double x)
```
    factorial de un nº real (NaN para enteros negativos)
    
    Parameters:
    
    x - x:R/Z^-
    
    Returns:
    
    x!
    
    Since:
    
    0.4.9
    
    See Also:
    
    factorial(long), factorial(BigInteger)
  - factorial
```
public static double factorial(long n)
```
    Factorial para Long
    
    Parameters:
    
    n - n>=0
    
    Returns:
    
    factorial como double. El valor es exacto hasta 21!. Menor que infinito hasta 170!
    
    See Also:
    
    factorial, factorial(BigInteger)
  - factorial
```
public static java.math.BigInteger factorial(java.math.BigInteger n)
                                      throws JMEInterruptedException
```
    Factorial para BigInteger
    
    Parameters:
    
    n - n>=0
    
    Returns:
    
    n! (factorial exacto)
    
    Throws:
    
    JMEInterruptedException - si el hilo se interrumpe
    
    See Also:
    
    factorial, factorial
  - factorialDoble
```
public static double factorialDoble(long n)
```
    Factorial doble para enteros positivos y negativos impares
    
    Parameters:
    
    n - para n>300 devuelve Infinity. Exacto hasta 30!!
    
    Returns:
    
    n!!
    
    Since:
    
    0.4.9
  - subfactorial
```
public static double subfactorial(long n)
```
    Subfactorial [n!/e].
    
    Parameters:
    
    n - n>=0. Exacto para n<=18. Infinity para n>170
    
    Returns:
    
    ¡n
    
    Since:
    
    0.4.9
    
    See Also:
    
    subfactorial(BigInteger)
  - subfactorial
```
public static java.math.BigInteger subfactorial(java.math.BigInteger n)
                                         throws JMEInterruptedException,
                                                java.lang.StackOverflowError
```
    Subfactorial exacto usando fórmula recursiva ¡n=n(n-1)¡+(-1)^n
    
    Parameters:
    
    n - n>=0
    
    Returns:
    
    ¡n
    
    Throws:
    
    JMEInterruptedException - si el hilo se interrumpe
    
    java.lang.StackOverflowError - algoritmo recursivo
    
    See Also:
    
    subfactorial
  - factorialAlternado
```
public static double factorialAlternado(int n)
```
    Factorial alternado (A005165)
    
    Parameters:
    
    n - n>=0. Exacto para n <=18. Infinity para n>170
    
    Returns:
    
    factorial alternado de n
    
    Since:
    
    0.4.9
    
    See Also:
    
    factorialAlternadoBig(long)
  - factorialAlternadoBig
```
public static java.math.BigInteger factorialAlternadoBig(long n)
                                                  throws JMEInterruptedException
```
    Factorial alternado exacto (A005165)
    
    Parameters:
    
    n - n>=0
    
    Returns:
    
    factorial alternado exacto de n
    
    Throws:
    
    JMEInterruptedException - si el hilo se interrumpe
    
    Since:
    
    0.4.9
    
    See Also:
    
    factorialAlternado
  - superFactorial
```
public static double superFactorial(int n)
```
    Superfactorial de Sloane y Plouffe (A000178)
    
    Parameters:
    
    n - n>=0. Exacto para n≥9. Infinity para n>26
    Returns: sf(n) Since: 0.4.9 See Also: superFactorialBig(long)
  superFactorialBig public static java.math.BigInteger superFactorialBig(long n) throws JMEInterruptedException Superfactorial exacto de Sloane y Plouffe (A000178) Parameters: n - n>0 Returns: sf(n) Throws: JMEInterruptedException - si el hilo se interrumpe Since: 0.4.9 See Also: superFactorial hiperfactorial public static double hiperfactorial(int n) Hiperfactorial (A002109) Parameters: n - n>=0. Exacto para n<=7. Infinity para n>22 Returns: H(n) Since: 0.4.9 See Also: hiperfactorialBig(long) hiperfactorialBig public static java.math.BigInteger hiperfactorialBig(long n) throws JMEInterruptedException Hiperfactorial exacto Parameters: n - n>=0 Returns: H(n) exacto Throws: JMEInterruptedException - si el hilo se interrumpe Since: 0.6.0 See Also: hiperfactorial primorial public static double primorial(long n) throws JMEInterruptedException Primorial de un natural Parameters: n - n>=0. Exacto para n<=46. Infinity para n>742 Returns: n# Throws: JMEInterruptedException - si el hilo se interrumpe Since: 0.4.10 See Also: primorialBig(long) primorialBig public static java.math.BigInteger primorialBig(long n) throws JMEInterruptedException Primorial exacto de un natural Parameters: n - n>=0 Returns: n# exacto Throws: JMEInterruptedException Since: 0.4.10 See Also: primorial combinaciones public static java.math.BigInteger combinaciones(long m, long n) throws JMEInterruptedException Combinaciones de m elementos tomados de n en n Parameters: m - nº de elementos n - tamaño muestra Returns: C(m,n) Throws: JMEInterruptedException - si el hilo está interrumpido coeficienteMultinomial public static java.math.BigInteger coeficienteMultinomial(long[] ni) Calcula el coeficiente multinomial a partir de los coeficientes. (n;n1,n2,...,n_N), con n=n1+n2+...+n_N Parameters: ni - array de coeficientes (no puede ser vacío). El array se modificará (ordenado ascendentemente) Returns: coeficiente multinomial

Class JMEMath.Combinatoria

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Constructor Detail

Combinatoria

Method Detail

factorial

factorial

factorial

factorialDoble

subfactorial

subfactorial

factorialAlternado

factorialAlternadoBig

superFactorial

superFactorialBig

hiperfactorial

hiperfactorialBig

primorial

primorialBig

combinaciones

coeficienteMultinomial