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std::erf

STD：：ERF

Defined in header ​​
float erf( float arg (1)(since C++11)
double erf( double arg (2)(since C++11)
long double erf( long double arg (3)(since C++11)
double erf( Integral arg (4)(since C++11)

1-3%29计算误差函数成arg...

4%29一组过载或接受任意参数的函数模板积分型等于2%29%28double29%。

参数

arg-value of a floating-point or Integral type

返回值

如果没有发生错误，则错误函数的值为arg，那就是

二

*。

#number7#π

弗鲁阿格

0e-T2

丁T型，被归还。

如果由于下垫流而发生范围错误，则在舍入%29之后，正确的结果%28，即。

二%2A阿格

*。

#number7#π

返回

错误处理

错误按数学[医]错误处理...

如果实现支持ieee浮点算法%28IEC 60559%29，

  • 如果参数为±0，则返回±0

  • 如果参数为±∞，则返回±1

  • 如果参数为nan，则返回nan。

注记

如果|arg|<DBL_MIN*(sqrt(π)/2)ERF%28

X

*。

σⅩ2

%29是误差服从标准差σ的正态分布的概率小于x的概率。

例

下面的示例计算正常变量在区间%28X1，x2%29上的概率。

二次

#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"
              << std::fixed << std::setprecision(2
    for(int n=-4; n<4; ++n)
        std::cout << "[" << std::setw(2) << n << ":" << std::setw(2) << n+1 << "]: "
                  << std::setw(5) << 100*phi(n, n+1) << "%\n";
 
    std::cout << "special values:\n"
              << "erf(-0) = " << std::erf(-0.0) << '\n'
              << "erf(Inf) = " << std::erf(INFINITY) << '\n';
}

二次

产出：

二次

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%
special values:
erf(-0) = -0.00
erf(Inf) = 1.00

二次

另见

erfc (C++11)complementary error function (function)

c机构资源框架文件

外部链接

韦斯斯坦，埃里克W.“厄夫”来自MathWorld的一个Wolfram Web资源。

 © cppreference.com

在CreativeCommonsAttribution下授权-ShareAlike未移植许可v3.0。

http：//en.cppreference.com/w/cpp/数值/数学/ERF

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