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在头文件<math.h>中定义



float erfcf（float arg）;

(1)

（自C99以来）

双erfc（double arg）;

(2)

（自C99以来）

long double erfcl（long double arg）;

(3)

（自C99以来）

在头文件<tgmath.h>中定义



#define erfc（arg）

(4)

（自C99以来）

1-3）计算arg的补充误差函数，即1.0-erf（arg），但不会损失大的精度。

4）类型 - 通用宏：如果arg的类型为long double，则调用erfcl。 否则，如果arg具有整数类型或类型double，则调用erfc。 否则，调用erfcf。

参数

arg

-

floating point value

返回值

如果没有错误发生，arg的互补错误函数的值为：

| 2 |

|:----|

| √π |

∫∞

arge-t2

返回d t或1-erf（arg）。

如果由于下溢而发生范围错误，则返回正确的结果（舍入后）。

错误处理

按照math_errhandling中的指定报告错误。

如果实现支持IEEE浮点运算（IEC 60559），

  • 如果参数是+∞，则返回+0

  • 如果参数是-∞，则返回2

  • 如果参数是NaN，则返回NaN

注意

对于兼容IEEE的类型double，如果arg> 26.55 ，则保证下溢。

例

#include <stdio.h>#include <math.h>
 double normalCDF(double x) // Phi(-∞, x) aka N(x){    return erfc(-x/sqrt(2))/2;}int main(void){    puts("normal cumulative distribution function:");    for(double n=0; n<1; n+=0.1)        printf("normalCDF(%.2f) %5.2f%%\n", n, 100*normalCDF(n)); 
    puts("special values:");    printf("erfc(-Inf) = %f\n", erfc(-INFINITY));    printf("erfc(Inf) = %f\n", erfc(INFINITY));}

输出：

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) = 2.000000erfc(Inf) = 0.000000

参考

  • C11标准（ISO / IEC 9899：2011）：

    • 7.12.8.2 erfc函数（p：249-250）

    • 7.25类型通用数学<tgmath.h>（p：373-375）

    • F.10.5.2 erfc函数（p：525）

  • C99标准（ISO / IEC 9899：1999）：

    • 7.12.8.2 erfc函数（p：230）

    • 7.22类型通用数学<tgmath.h>（p：335-337）

    • F.9.5.2 erfc函数（p：462）

扩展内容

erferfferfl (C99)(C99)(C99)

计算错误函数（函数）

| 用于erfc的C ++文档 |

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