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在头文件<math.h>中定义



float       acoshf( float arg );

(1)

(since C99)

double      acosh( double arg );

(2)

(since C99)

long double acoshl( long double arg );

(3)

(since C99)

Defined in header <tgmath.h>



#define acosh( arg )

(4)

(since C99)

1-3）计算的反双曲余弦arg。

4）类型 - 通用宏：如果参数具有类型long double，acoshl则被调用。否则，如果参数具有整数类型或类型double，acosh则调用该参数。否则，acoshf被调用。如果参数是复杂的，则宏调用相应的复变函数（cacoshf，cacosh，cacoshl）。

参数

arg

-

浮点值代表双曲线区域的面积

返回值

如果没有错误发生，则arg（cosh-1）的反双曲余弦

（arg）或arcosh（arg））返回间隔0，+∞。

如果发生域错误，则返回实现定义的值（NaN，如果支持）。

错误处理

按照math_errhandling中的指定报告错误。

如果参数小于1，则会发生域错误。

如果实现支持IEEE浮点运算（IEC 60559），

  • 如果参数小于1，FE_INVALID则返回NaN

  • 如果参数是1，则返回+0

  • 如果参数是+∞，则返回+∞

  • 如果参数是NaN，则返回NaN

笔记

尽管C标准将该函数命名为“弧双曲余弦”，但双曲函数的反函数是区域函数。他们的论点是双曲线领域，而不是弧线。正确的名称是“反双曲余弦”（由POSIX使用）或“区域双曲余弦”。

例

#include <stdio.h>#include <math.h>#include <float.h>#include <errno.h>#include <fenv.h>#pragma STDC FENV_ACCESS ON
int main(void){    printf("acosh(1) = %f\nacosh(10) = %f\n", acosh(1), acosh(10));    printf("acosh(DBL_MAX) = %f\nacosh(Inf) = %f\n", acosh(DBL_MAX), acosh(INFINITY));    //error handling
    errno = 0; feclearexcept(FE_ALL_EXCEPT);    printf("acosh(0.5) = %f\n", acosh(0.5));    if(errno == EDOM)         perror("    errno == EDOM");    if(fetestexcept(FE_INVALID)) puts("    FE_INVALID raised");}

可能的输出：

acosh(1) = 0.000000acosh(10) = 2.993223acosh(DBL_MAX) = 710.475860acosh(Inf) = infacosh(0.5) = -nan
    errno == EDOM: Numerical argument out of domain
    FE_INVALID raised

参考

  • C11标准（ISO / IEC 9899：2011）：

    • 7.12.5.1交流功能（p：240）

    • 7.25类型通用数学<tgmath.h>（p：373-375）

    • F.10.2.1交流功能（p：520）

  • C99标准（ISO / IEC 9899：1999）：

    • 7.12.5.1交流功能（p：221）

    • 7.22类型通用数学<tgmath.h>（p：335-337）

    • F.9.2.1交流功能（p：457）

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