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文字

在头文件<math.h>中定义



float erfcf(float arg);

(1)

(自C99以来)

double 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,则为arg的互补错误函数的值:

| 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。

#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)

computes error function  (function)

| 用于erfc 的C ++文档|

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