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在头文件<complex.h>中定义



float complex       csinf( float complex z );

(1)

(自 C99)

double complex      csin( double complex z );

(2)

( 自 C99)

long double complex csinl( long double complex z );

(3)

( 自 C99)

在头文件<tgmath.h>中定义



#define sin( z )

(4)

( 自C99)

1-3)计算z的复数正弦值。

4)类型通用宏:如果z具有类型long double complex,则调用csinl。 如果z具有类型double complex,则调用csin,如果z具有类型float complex,则调用csinf。 如果z是实数或整数,则宏调用相应的实函数(sinf,sin,sinl)。 如果z是虚构的,则宏调用相应的实函数sinh,实现公式sin(iy)= i sinh(y),并且宏的返回类型是虚数。

参数

z

-

complex argument

返回值

如果没有错误发生,则返回z的复数正弦。

错误和特殊情况的处理就像操作由-I * csinh(I * z)实现一样。

注意

正弦是复杂平面上的一个完整功能,并且没有分支切割。正弦的数学定义是sin z =

| eiz-e-iz |

|:----|

| 2i |

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

输出:

sin(1+0i) = 0.841471+0.000000i ( sin(1)=0.841471)sin(0+1i) = 0.000000+1.175201i (sinh(1)=1.175201)

参考

  • C11标准(ISO / IEC 9899:2011):

    • 7.3.5.5 csin函数(p:191-192)

    • 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):

    • 7.3.5.5 csin函数(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)

扩展内容

ccosccosfccosl (C99)(C99)(C99)

计算复余弦(函数)

ctanctanfctanl (C99)(C99)(C99)

计算复正切(函数)

casincasinfcasinl(C99)(C99)(C99)

计算复反正弦(函数)

sinsinfsinl(C99)(C99)

计算正弦(sin(x))(函数)

| 用于sin的C ++文档 |

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