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文字

在头文件<math.h>中定义



float       coshf( float arg );

(1)

(since C99)

double      cosh( double arg );

(2)


long double coshl( long double arg );

(3)

(since C99)

Defined in header <tgmath.h>



#define cosh( arg )

(4)

(since C99)

1-3)计算双曲余弦arg

4)类型 - 通用宏:如果参数具有类型long doublecoshl则被调用。否则,如果参数具有整数类型或类型doublecosh则调用该参数。否则,coshf被调用。如果参数是复杂的,则宏调用相应的复变函数(ccoshfccoshccoshl)。

参数

arg

-

浮点值代表双曲线角度

返回值

如果没有错误发生,则arg(cosh(arg)或。的双曲余弦

| earg+e-arg |

|:----|

| 2 |

)返回。

如果范围误差由于发生溢出,+HUGE_VAL+HUGE_VALF,或+HUGE_VALL返回。

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),

  • 如果参数为±0,则返回1

  • 如果参数是±∞,则返回+∞

  • 如果参数是NaN,则返回NaN

笔记

对于IEEE兼容类型double,如果| arg | > 710.5,然后cosh(arg)溢出。

#include <stdio.h>#include <math.h>#include <errno.h>#include <fenv.h>
 #pragma STDC FENV_ACCESS ON
int main(void){    printf("cosh(1) = %f\ncosh(-1)= %f\n", cosh(1), cosh(-1));    printf("log(sinh(1) + cosh(1))=%f\n", log(sinh(1)+cosh(1)));    // special values    printf("cosh(+0) = %f\ncosh(-0) = %f\n", cosh(0.0), cosh(-0.0));    // error handling 
    errno=0; feclearexcept(FE_ALL_EXCEPT);    printf("cosh(710.5) = %f\n", cosh(710.5));    if(errno == ERANGE) perror("    errno == ERANGE");    if(fetestexcept(FE_OVERFLOW)) puts("    FE_OVERFLOW raised");}

可能的输出:

cosh(1) = 1.543081cosh(-1)= 1.543081log(sinh(1) + cosh(1))=1.000000cosh(+0) = 1.000000cosh(-0) = 1.000000cosh(710.5) = inf
    errno == ERANGE: Numerical result out of range
    FE_OVERFLOW raised

参考

  • C11标准(ISO / IEC 9899:2011):

    • 7.12.5.4 cosh函数(p:241)

    • 7.25类型通用数学<tgmath.h>(p:373-375)

    • F.10.2.4 cosh函数(p:520)

  • C99标准(ISO / IEC 9899:1999):

    • 7.12.5.4 cosh函数(p:222)

    • 7.22类型通用数学<tgmath.h>(p:335-337)

    • F.9.2.4 cosh函数(p:457)

  • C89 / C90标准(ISO / IEC 9899:1990):

    • 4.5.3.1 cosh函数

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