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在头文件<math.h>中定义



float complex       cpowf( float complex x, float complex y );

(1)

(since C99)

double complex      cpow( double complex x, double complex y );

(2)

(since C99)

long double complex cpowl( long double complex x, long double complex y );

(3)

(since C99)

Defined in header <tgmath.h>



#define pow( x, y )

(4)

(since C99)

1-3）计算复数幂函数xy

，沿负实轴的第一个参数分支切割。

4）类型 - 通用宏：如果任何参数具有类型long double complex，cpowl则被调用。如果任何参数具有类型double complex，cpow则被调用，如果任何参数具有类型float complex，cpowf则调用它。如果参数是实数或整数，则宏调用相应的实函数（powf，pow，powl）。如果有任何参数是虚构的，则调用相应的复数版本。

参数

x，y

-

复杂的论点

返回值

如果没有错误发生，复杂的权力xy

，返回。

错误和特殊情况的处理就像是通过执行操作一样cexp(y*clog(x))，除了允许实现更仔细地处理特殊情况。

例

#include <stdio.h>#include <complex.h>
 int main(void){    
    double complex z = cpow(1.0+2.0*I, 2);    printf("(1+2i)^2 = %.1f%+.1fi\n", creal(z), cimag(z));
 
    double complex z2 = cpow(-1, 0.5);    printf("(-1+0i)^0.5 = %.1f%+.1fi\n", creal(z2), cimag(z2));
 
    double complex z3 = cpow(conj(-1), 0.5); // other side of the cut    printf("(-1-0i)^0.5 = %.1f%+.1fi\n", creal(z3), cimag(z3));
 
    double complex z4 = cpow(I, I); // i^i = exp(-pi/2)    printf("i^i = %f%+fi\n", creal(z4), cimag(z4));}

输出：

(1+2i)^2 = -3.0+4.0i(-1+0i)^0.5 = 0.0+1.0i(-1-0i)^0.5 = 0.0-1.0i
i^i = 0.207880+0.000000i

参考

  • C11标准（ISO / IEC 9899：2011）：

    • 7.3.8.2 cpow函数（p：195-196）

    • 7.25类型通用数学<tgmath.h>（p：373-375）

    • G.6.4.1 cpow功能（p：544）

    • G.7类型 - 通用数学<tgmath.h>（p：545）

  • C99标准（ISO / IEC 9899：1999）：

    • 7.3.8.2 cpow函数（p：177）

    • 7.22类型通用数学<tgmath.h>（p：335-337）

    • G.6.4.1 cpow功能（p：479）

    • G.7类型 - 通用数学<tgmath.h>（p：480）

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