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std::erf

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< cpp‎ | numeric‎ | math

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C++
 
Bibliothèque Numerics
Fonctions mathématiques courantes
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Nombres complexes
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</div>
 
</div>
Déclaré dans l'en-tête <cmath>
float       erf( float arg );
 (depuis C++11)
double      erf( double arg );
 (depuis C++11)
long double erf( long double arg );
 (depuis C++11)
double      erf( Integral arg );
 (depuis C++11)
Calcule la fonction d'erreur de arg .
Original:
Computes the fonction d'erreur 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 d'erreur de arg, c'est
2
√π
∫arg
0e-t2
dt .
Original:
The value of the error function of arg, that is
2
√π
∫arg
0e-t2
dt.
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[modifier] Exemple

L'exemple suivant, on calcule la probabilité qu'une variable normale est présent dans l'intervalle (x1, x2)
Original:
The following example calculates the probability that a normal variate is on the interval (x1, x2)
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#include <iostream>
#include <cmath>
#include <iomanip>
double phi(double x1, double x2)
{
    return (std::erf(x2/std::sqrt(2)) - std::erf(x1/std::sqrt(2)))/2;
}
int main()
{
    std::cout << "normal variate probabilities:\n";
    for(int n=-4; n<4; ++n)
        std::cout << "[" << std::setw(2) << n << ":" << std::setw(2) << n+1 << "]: "
                  << std::setw(5) << std::fixed << std::setprecision(2)
                  << 100*phi(n, n+1) << "%\n";
}

Résultat : 

normal variate probabilities:
[-4:-3]:  0.13%
[-3:-2]:  2.14%
[-2:-1]: 13.59%
[-1: 0]: 34.13%
[ 0: 1]: 34.13%
[ 1: 2]: 13.59%
[ 2: 3]:  2.14%
[ 3: 4]:  0.13%


[modifier] Voir aussi

(C++11)
fonction d'erreur complémentaire
Original:
complementary error function
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(fonction) [edit]

[modifier] Liens externes

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