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std::erfc

科技促进发展：ERFC

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

1-3%29计算互补误差函数成arg，那就是1.0-erf(arg)，但对于大型系统来说，它的精度并没有下降。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

如果没有错误发生，则互补错误函数的值arg，那就是

二

*。

#number7#π

富∞

阿格e-T2

丁T型或1-ERF%28 arg%29，返回。

如果由于下流而发生范围错误，则返回舍入%29后的正确结果%28。

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+∞，则返回+0

  • 如果参数为-∞，则返回2。

  • 如果参数为nan，则返回nan。

注记

适用于ieee兼容的类型。double，保证在以下情况下arg>26.55。

例

二次

#include <iostream>
#include <cmath>
#include <iomanip>
double normalCDF(double x) // Phi(-∞, x) aka N(x)
{
    return std::erfc(-x/std::sqrt(2))/2;
}
int main()
{
    std::cout << "normal cumulative distribution function:\n"
              << std::fixed << std::setprecision(2
    for(double n=0; n<1; n+=0.1)
        std::cout << "normalCDF(" << n << ") " << 100*normalCDF(n) << "%\n";
 
    std::cout << "special values:\n"
              << "erfc(-Inf) = " << std::erfc(-INFINITY) << '\n'
              << "erfc(Inf) = " << std::erfc(INFINITY) << '\n';
}

二次

产出：

二次

normal cumulative distribution function:
normalCDF(0.00) 50.00%
normalCDF(0.10) 53.98%
normalCDF(0.20) 57.93%
normalCDF(0.30) 61.79%
normalCDF(0.40) 65.54%
normalCDF(0.50) 69.15%
normalCDF(0.60) 72.57%
normalCDF(0.70) 75.80%
normalCDF(0.80) 78.81%
normalCDF(0.90) 81.59%
normalCDF(1.00) 84.13%
special values:
erfc(-Inf) = 2.00
erfc(Inf) = 0.00

二次

另见

erf (C++11)error function (function)

c为ERFC编写的文件

外部链接

韦斯斯坦，埃里克W.“ERFC”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/maath/erfc

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