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std::tan(std::complex)

STD：：Tan%28 std：：Complex%29

Defined in header ​​
template< class T > complex<T> tan( const complex<T>& z ​​

计算复值的复切线z...

参数

z-complex value

返回值

如果没有错误发生，则将z会被归还。

处理错误和特殊情况时，就好像操作是由-i *std::tanh(i*z)，在哪里i是想象中的单位。

注记

切线是复平面上的一个解析函数，不存在分支割线。它是相对于实分量的周期，周期πi，在坐标%28π%281/2+n%29，0%29处，沿实线有一阶极。然而，没有一个普通的浮点表示法能够精确地表示π/2，因此没有发生极点误差的参数的值。切线的数学定义是tan z=

i%28 e-iz-eiz%29

*。

E-iz+Eiz

例

二次

#include <iostream>
#include <cmath>
#include <complex>
 
int main()
{
    std::cout << std::fixed;
    std::complex<double> z(1, 0 // behaves like real tangent along the real line
    std::cout << "tan" << z << " = " << std::tan(z)
              << " ( tan(1) = " << std::tan(1) << ")\n";
 
    std::complex<double> z2(0, 1 // behaves like tanh along the imaginary line
    std::cout << "tan" << z2 << " = " << std::tan(z2)
              << " (tanh(1) = " << std::tanh(1) << ")\n";
}

二次

产出：

二次

tan(1.000000,0.000000) = (1.557408,0.000000) ( tan(1) = 1.557408)
tan(0.000000,1.000000) = (0.000000,0.761594) (tanh(1) = 0.761594)

二次

另见

sin(std::complex)computes sine of a complex number (sin(z)) (function template)
cos(std::complex)computes cosine of a complex number (cos(z)) (function template)
atan(std::complex) (C++11)computes arc tangent of a complex number (arctan(z)) (function template)
tancomputes tangent (tan(x)) (function)
tan(std::valarray)applies the function std::tan to each element of valarray (function template)

c ctan文件

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