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std::tgamma

Da cppreference.com.
< cpp‎ | numeric‎ | math

 
 
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Defined in header <cmath>
float       tgamma( float arg );
(dal C++11)
double      tgamma( double arg );
(dal C++11)
long double tgamma( long double arg );
(dal C++11)
double      tgamma( Integral arg );
(dal C++11)
Calcola la funzione gamma di arg.
Original:
Computes the funzione gamma of arg.
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Indice

[modifica] Parametri

arg -
valore in virgola mobile
Original:
floating point value
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[modifica] Valore di ritorno

Il valore della funzione gamma di arg, che è
0
targ-1
e-t dt
.
Original:
The value of the gamma function of arg, that is
0
targ-1
e-t dt
.
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Se arg è un numero naturale, std::tgamma(arg) è il fattoriale di arg-1.
Original:
If arg is a natural number, std::tgamma(arg) is the factorial of arg-1.
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[modifica] Eccezioni

Se arg è negativo, errore di dominio si può verificare e FE_INVALID può essere sollevata.
Original:
If arg is negative, domain error may occur and FE_INVALID may be raised.
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Se arg è zero, errore può verificarsi polo e FE_DIVBYZERO può essere sollevata.
Original:
If arg is zero, pole error may occur and FE_DIVBYZERO may be raised.
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Se arg è troppo grande, l'errore può verificarsi gamma e FE_OVERFLOW può essere sollevata.
Original:
If arg is too large, range error may occur and FE_OVERFLOW may be raised.
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Se arg è troppo piccolo, può verificarsi dell'errore gamma e FE_UNDERFLOW può essere sollevata.
Original:
If arg is too small, range error may occur and FE_UNDERFLOW may be raised.
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[modifica] Note

Molte implementazioni di calcolare l'esatto numero intero dominio fattoriale se l'argomento è un intero sufficientemente piccolo.
Original:
Many implementations calculate the exact integer-domain factorial if the argument is a sufficiently small integer.
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[modifica] Esempio

#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


[modifica] Vedi anche

(C++11)
logaritmo naturale della funzione gamma
Original:
natural logarithm of the gamma function
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(funzione) [edit]

[modifica] Collegamenti esterni

Weisstein, Eric W. "Gamma Function." Da MathWorld - Una risorsa Web Wolfram.
Original:
Weisstein, Eric W. "Gamma Function." From MathWorld--A Wolfram Web Resource.
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