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    std::erf

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    definiert in Header <cmath>
    float       erf(float arg );
    		(seit C++11)
    double      erf(double arg );
    		(seit C++11)
    longdouble erf(longdouble arg );
    		(seit C++11)
    double      erf( Integral arg );
    		(seit C++11)
    Berechnet den Fehlerfunktion der arg .
    Original:
    Computes the Fehlerfunktion of arg.
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    Inhaltsverzeichnis

    [Bearbeiten]Parameter

    arg -
    Floating-Point-Wert
    Original:
    floating point value
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    [Bearbeiten]Rückgabewert

    Der Wert der Fehlerfunktion der arg, das heißt
    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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    [Bearbeiten]Beispiel

    The following example calculates the probability that a normal variate is on the interval (x1, x2) 

    #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";}

    Output: 

    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%


    [Bearbeiten]Siehe auch

    (C++11)
    komplementäre Fehlerfunktion
    Original:
    complementary error function
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    (Funktion)[edit]

    [Bearbeiten]Externer Links

    Weisstein, Eric W. "Erf." Von MathWorld - A Wolfram Web Resource .
    Original:
    Weisstein, Eric W. "Erf." From MathWorld--A Wolfram Web Resource.
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    Von „https://de.cppreference.com/mwiki/index.php?title=cpp/numeric/math/erf&oldid=29527“
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