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在头文件<complex.h>中定义



float complex ctanf（float complex z）;

(1)

（自C99以来）

double complex ctan( double complex z );

(2)

（自C99以来）

long double complex ctanl( long double complex z );

(3)

（自C99以来）

在头文件<tgmath.h>中定义



#define tan（z）

(4)

（自C99以来）

1-3）计算z的复正切。

4）类型 - 泛型宏：如果z有类型long double complex，则调用ctanl。 如果z具有类型double复数，则调用ctan，如果z具有类型float complex，则调用ctanf。 如果z是实数或整数，则宏调用相应的实函数（tanf，tan，tanl）。 如果z是虚的，那么宏调用函数tanh的相应实数版本，实现公式tan（iy）= i tanh（y），并且返回类型是虚数。

参数

z

-

complex argument

返回值

如果没有发生错误，则返回z的复正切。

错误和特殊情况的处理就像操作由-i * ctanh（i * z）实现一样，其中i是虚数单位。

注意

Tangent是复杂函数上的分析功能，没有分支切割。它是周期性的，相对于实数分量，周期为πi，并且在坐标（π（1/2 + n），0）处具有沿着实线的一阶极点。然而，没有共同的浮点表示法能够精确地表示π/ 2，因此没有出现极点错误的参数值。切线的数学定义是tan z =

| i(e-iz-eiz) |

|:----|

| e-iz+eiz |

例

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

输出：

tan(1+0i) = 1.557408+0.000000i ( tan(1)=1.557408)tan(0+1i) = 0.000000+0.761594i (tanh(1)=0.761594)

参考

  • C11标准（ISO / IEC 9899：2011）：

    • 7.3.5.6 ctan函数（p：192）

    • 7.25类型通用复合体<tgmath.h>（p：373-375）

    • G.7类型 - 通用数学<tgmath.h>（p：545）

  • C99标准（ISO / IEC 9899：1999）：

    • 7.3.5.6 ctan函数（p：174）

    • 7.22类型通用复合体<tgcomplex.h>（p：335-337）

    • G.7类型 - 通用数学<tgmath.h>（p：480）

扩展内容

ctanhctanhfctanhl (C99)(C99)(C99)

计算复双曲正切（函数）

csincsinfcsinl (C99)(C99)(C99)

计算复正弦函数（函数）

ccosccosfccosl (C99)(C99)(C99)

计算复余弦（函数）

catancatanfcatanl (C99)(C99)(C99)

计算复反正切（函数）

tantanftanl（C99）（C99）

计算（tan（x））（函数）

| 用于tan 的C ++文档|

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