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std::tgamma

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< cpp‎ | numeric‎ | math

 
 
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</div>
 
</div>
Déclaré dans l'en-tête <cmath>
float       tgamma(float arg );
(depuis C++11)
double      tgamma(double arg );
(depuis C++11)
longdouble tgamma(longdouble arg );
(depuis C++11)
double      tgamma( Integral arg );
(depuis C++11)
Calcule la fonction gamma de arg .
Original:
Computes the fonction gamma of arg.
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Sommaire

[modifier]Paramètres

arg -
valeur du point flottant
Original:
floating point value
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[modifier]Retourne la valeur

La valeur de la fonction gamma de arg, c'est
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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Si arg est un nombre naturel, std::tgamma(arg) est la factorielle de arg-1 .
Original:
If arg is a natural number, std::tgamma(arg) is the factorial of arg-1.
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[modifier]Exceptions

Si arg est négatif, une erreur de domaine peut se produire et FE_INVALID peut être soulevée .
Original:
If arg is negative, domain error may occur and FE_INVALID may be raised.
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Si arg est égal à zéro, erreur de pôle peut se produire et FE_DIVBYZERO peut être soulevée .
Original:
If arg is zero, pole error may occur and FE_DIVBYZERO may be raised.
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Si arg est trop grande, l'erreur peut se produire plage et FE_OVERFLOW peut être soulevée .
Original:
If arg is too large, range error may occur and FE_OVERFLOW may be raised.
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Si arg est trop petite erreur peut se produire plage et FE_UNDERFLOW peut être soulevée .
Original:
If arg is too small, range error may occur and FE_UNDERFLOW may be raised.
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[modifier]Notes

De nombreuses implémentations de calculer exactement le nombre entier le domaine factorielle si l'argument est un entier suffisamment petit .
Original:
Many implementations calculate the exact integer-domain factorial if the argument is a sufficiently small integer.
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[modifier]Exemple

#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';}

Résultat :

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


[modifier]Voir aussi

(C++11)
logarithme naturel de la fonction gamma
Original:
natural logarithm of the gamma function
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(fonction)[edit]

[modifier]Liens externes

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