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std::tgamma

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< cpp‎ | numeric‎ | math

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Defined in header <cmath>
float       tgamma( float arg );
 (desde C++11)
double      tgamma( double arg );
 (desde C++11)
long double tgamma( long double arg );
 (desde C++11)
double      tgamma( Integral arg );
 (desde C++11)
Calcula el gamma función de arg .
Original:
Computes the gamma función of arg.
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Contenido

[editar] Parámetros

arg -
flotando valor en puntos
Original:
floating point value
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[editar] Valor de retorno

El valor de la función gamma de arg, que es ∫∞
0targ-1
 e-t dt .
Original:
The value of the gamma function of arg, that is ∫∞
0targ-1
 e-t dt.
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Si arg es un número natural, std::tgamma(arg) es el factorial de arg-1 .
Original:
If arg is a natural number, std::tgamma(arg) is the factorial of arg-1.
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[editar] Excepciones

Si arg es negativo, el error de dominio puede ocurrir y FE_INVALID haber erupción .
Original:
If arg is negative, domain error may occur and FE_INVALID may be raised.
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Si arg es cero, polo error puede ocurrir y FE_DIVBYZERO haber erupción .
Original:
If arg is zero, pole error may occur and FE_DIVBYZERO may be raised.
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Si arg es demasiado grande, el error de rango se puede producir y puede ser levantado FE_OVERFLOW .
Original:
If arg is too large, range error may occur and FE_OVERFLOW may be raised.
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Si arg es demasiado pequeña, el error de rango se puede producir y puede ser levantado FE_UNDERFLOW .
Original:
If arg is too small, range error may occur and FE_UNDERFLOW may be raised.
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[editar] Notas

Muchas implementaciones de calcular exactamente el número entero de dominio factorial si el argumento es un entero suficientemente pequeño .
Original:
Many implementations calculate the exact integer-domain factorial if the argument is a sufficiently small integer.
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[editar] Ejemplo

#include <iostream>
#include <cmath>
double factorial(double arg)
{
    return std::tgamma(arg + 1);
}
int main()
{
    std::cout << "The factorial of 5 is " << factorial(5) << '\n'
              << "The factorial of 100 is " << factorial(100) << '\n';
}

Output: 

The factorial of 5 is 120
The factorial of 100 is 9.33262e+157


[editar] Ver también

(C++11)
logaritmo natural de la función gamma
Original:
natural logarithm of the gamma function
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(función) [edit]

[editar] Enlaces externos

Weisstein, Eric W. "Gamma Function." De MathWorld - Un recurso del Web Wolfram .
Original:
Weisstein, Eric W. "Gamma Function." From MathWorld--A Wolfram Web Resource.
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