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    std::erf

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    <metanoindex/>

     
    C++
     
    Bibliothèque Numerics
    Fonctions mathématiques courantes
    Virgule flottante environnement
    Nombres complexes
    Tableaux numériques
    La génération de nombres pseudo-aléatoires
    Moment de la compilation arithmétique rationnelle (C++11)
    Génériques des opérations numériques
    Original:
    Generic numeric operations
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    iota (C++11)
    accumulate
    inner_product
    adjacent_difference
    partial_sum
     
    Fonctions mathématiques courantes
    {{{1}}}
    Original:
    {{{2}}}
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    Fonctions
    Original:
    Functions
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    Opérations de base
    Original:
    Basic operations
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    remainder (C++11)
    remquo (C++11)
    fma (C++11)
    fmax (C++11)
    fmin (C++11)
    fdim (C++11)
    nan
    nanf
    nanl    		 (C++11)
    (C++11)
    (C++11)
    Les fonctions exponentielles
    Original:
    Exponential functions
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    exp
    exp2 (C++11)
    expm1 (C++11)
    log
    log10
    log1p (C++11)
    log2 (C++11)
    Les fonctions de puissance
    Original:
    Power functions
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    sqrt
    cbrt (C++11)
    hypot (C++11)
    pow
    Les fonctions trigonométriques et hyperboliques
    Original:
    Trigonometric and hyperbolic functions
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    sinh
    cosh
    tanh
    asinh (C++11)
    acosh (C++11)
    atanh (C++11)
    {{{1}}}
    Original:
    {{{2}}}
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    Erreur fonctions et gamma
    Original:
    Error and gamma functions
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    erf (C++11)
    erfc (C++11)
    lgamma (C++11)
    tgamma (C++11)
    Entier le plus proche opérations en virgule flottante
    Original:
    Nearest integer floating point operations
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    ceil
    floor
    round
    lround
    llround    		 (C++11)
    (C++11)
    (C++11)
    trunc (C++11)
    nearbyint (C++11)
    rint
    lrint
    llrint    		 (C++11)
    (C++11)
    (C++11)
    Flottant fonctions de manipulation de points
    Original:
    Floating point manipulation functions
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    ldexp
    scalbn
    scalbln    		 (C++11)
    (C++11)
    ilogb (C++11)
    logb (C++11)
    frexp
    modf
    nextafter
    nexttoward    		 (C++11)
    (C++11)
    copysign (C++11)
    Classification / Comparaison
    Original:
    Classification/Comparison
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    fpclassify (C++11)
    isfinite (C++11)
    isinf (C++11)
    isnan (C++11)
    isnormal (C++11)
    signbit (C++11)
    isgreater (C++11)
    isgreaterequal (C++11)
    isless (C++11)
    islessequal (C++11)
    islessgreater (C++11)
    isunordered (C++11)
    Macro constantes
    Original:
    Macro constants
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    FP_NORMAL
    FP_SUBNORMAL
    FP_ZERO
    FP_INFINITE
    FP_NAN    		 (C++11)
    (C++11)
    (C++11)
    (C++11)
    (C++11)
     
    <tbody> </tbody>
    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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    Paramètres

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

    La valeur de la fonction d'erreur de arg, c'est
    2
    √π
    ∫arg
    0    e-t2
    dt     .
    Original:
    The value of the error function of arg, that is
    2
    √π
    ∫arg
    0    e-t2
    dt    .
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    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%


    Voir aussi

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

    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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