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在头文件<math.h>中定义



float complex       ccosf( float complex z );

(1)

(since C99)

double complex      ccos( double complex z );

(2)

(since C99)

long double complex ccosl( long double complex z );

(3)

(since C99)

Defined in header <tgmath.h>



#define cos( z )

(4)

(since C99)

1-3)计算复数余弦z

4)类型 - 通用宏:如果z有类型long double complexccosl被调用。如果z有类型double complexccos称为,如果z有类型float complexccosf称为。如果z是真实的或整数,则宏调用相应的实函数(cosfcoscosl)。如果z是虚构的,则宏调用函数的相应实际版本cosh,实现公式cos(iy)= cosh(y),并且返回类型是实数。

参数

z

-

复杂的论点

返回值

如果没有发生错误,z则返回复余弦。

错误和特殊情况被处理,就像操作被执行一样ccosh(I*z)

笔记

余弦是复平面上的整个函数,并且没有分支切割。余弦的数学定义是cos z =

| eiz+e-iz |

|:----|

| 2 |

#include <stdio.h>#include <math.h>#include <complex.h>
 int main(void){
    double complex z = ccos(1);  // behaves like real cosine along the real line    printf("cos(1+0i) = %f%+fi ( cos(1)=%f)\n", creal(z), cimag(z), cos(1));
 
    double complex z2 = ccos(I); // behaves like real cosh along the imaginary line    printf("cos(0+1i) = %f%+fi (cosh(1)=%f)\n", creal(z2), cimag(z2), cosh(1));}

输出:

cos(1+0i) = 0.540302-0.000000i ( cos(1)=0.540302)cos(0+1i) = 1.543081-0.000000i (cosh(1)=1.543081)

参考

  • C11标准(ISO / IEC 9899:2011):

    • 7.3.5.4 ccos功能(p:191)

    • 7.25类型通用数学<tgmath.h>(p:373-375)

    • G.7类型 - 通用数学<tgmath.h>(p:545)

  • C99标准(ISO / IEC 9899:1999):

    • 7.3.5.4 ccos功能(p:173)

    • 7.22类型通用数学<tgmath.h>(p:335-337)

    • G.7类型 - 通用数学<tgmath.h>(p:480)

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