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文字

在头文件<math.h>中定义



float       asinf( float arg );

(1)

(since C99)

double      asin( double arg );

(2)


long double asinl( long double arg );

(3)

(since C99)

Defined in header <tgmath.h>



#define asin( arg )

(4)

(since C99)

1-3)计算弧的正弦值的主值arg

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

参数

arg

-

浮点值

返回值

如果没有出现错误,arg则范围[ - (arcsin(arg))的反正弦值

| π |

|:----|

| 2 |

; +

| π |

|:----|

| 2 |

],返回。

如果发生域错误,则返回实现定义的值(NaN,如果支持)。

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arg超出范围,则会发生域错误[-1.0; 1.0]

如果实现支持IEEE浮点运算(IEC 60559),

  • 如果参数为±0,则不加修改地返回

  • 如果| arg | > 1,发生域错误并返回NaN。

  • 如果参数是NaN,则返回NaN

#include <math.h>#include <stdio.h>#include <errno.h>#include <fenv.h>#include <string.h>
 #pragma STDC FENV_ACCESS ON
int main(void){    printf("asin( 1.0) = %+f, 2*asin( 1.0)=%+f\n", asin(1), 2*asin(1));    printf("asin(-0.5) = %+f, 6*asin(-0.5)=%+f\n", asin(-0.5), 6*asin(-0.5));    // special values    printf("asin(0.0) = %1f, asin(-0.0)=%f\n", asin(+0.0), asin(-0.0));    // error handling 
    errno = 0; feclearexcept(FE_ALL_EXCEPT);    printf("asin(1.1) = %f\n", asin(1.1));    if(errno == EDOM) perror("    errno == EDOM");    if(fetestexcept(FE_INVALID)) puts("    FE_INVALID raised");}

可能的输出:

asin( 1.0) = +1.570796, 2*asin( 1.0)=+3.141593asin(-0.5) = -0.523599, 6*asin(-0.5)=-3.141593asin(0.0) = 0.000000, asin(-0.0)=-0.000000asin(1.1) = nan
    errno == EDOM: Numerical argument out of domain
    FE_INVALID raised

参考

  • C11标准(ISO / IEC 9899:2011):

    • 7.12.4.2 asin函数(p:238)

    • 7.25类型通用数学<tgmath.h>(p:373-375)

    • F.10.1.2 asin函数(p:518)

  • C99标准(ISO / IEC 9899:1999):

    • 7.12.4.2 asin函数(p:219)

    • 7.22类型通用数学<tgmath.h>(p:335-337)

    • F.9.1.2 asin函数(p:456)

  • C89 / C90标准(ISO / IEC 9899:1990):

    • 4.5.2.2 asin函数

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