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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

如果没有错误发生,则返回z的复数正切值。

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 |

#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)

计算切线(tan(x))(函数)

| 用于tan的C ++文档 |

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