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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 );
(a partir do C++ 11)
double      tgamma( double arg );
(a partir do C++ 11)
long double tgamma( long double arg );
(a partir do C++ 11)
double      tgamma( Integral arg );
(a partir do C++ 11)
Calcula a gama de funções de arg.
Original:
Computes the gama de funções of arg.
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Índice

[editar] Parâmetros

arg -
flutuando valor de ponto
Original:
floating point value
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[editar] Valor de retorno

O valor da função gama de arg, isto é
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 é um número natural, std::tgamma(arg) é o fatorial de arg-1.
Original:
If arg is a natural number, std::tgamma(arg) is the factorial of arg-1.
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[editar] Exceções

Se arg é negativo, o erro de domínio pode ocorrer e pode ser elevado FE_INVALID.
Original:
If arg is negative, domain error may occur and FE_INVALID may be raised.
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Se arg é zero, o erro pode ocorrer pólo e FE_DIVBYZERO pode ser levantada.
Original:
If arg is zero, pole error may occur and FE_DIVBYZERO may be raised.
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Se arg for demasiado grande, intervalo de erro pode ocorrer e pode ser elevado FE_OVERFLOW.
Original:
If arg is too large, range error may occur and FE_OVERFLOW may be raised.
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Se arg é muito pequeno, intervalo de erro pode ocorrer e pode ser elevado FE_UNDERFLOW.
Original:
If arg is too small, range error may occur and FE_UNDERFLOW may be raised.
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[editar] Notas

Muitas implementações calcular o exato número inteiro domínio fatorial se o argumento é um inteiro suficientemente pequeno.
Original:
Many implementations calculate the exact integer-domain factorial if the argument is a sufficiently small integer.
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[editar] Exemplo

#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] Veja também

(C++11)
logaritmo natural da função gama
Original:
natural logarithm of the gamma function
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(função) [edit]

[editar] Links externos

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