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std::atan(std::complex)

STD：：Atan%28 std：：Complex%29

Defined in header ​​
template< class T > complex<T> atan( const complex<T>& z ​(since C++11)

计算复值的复弧切线z.分支切割存在于间隔之外。-i；+i沿着想象的轴。

参数

z-complex value

返回值

复弧切线z在范围内-我π/2；+我π/2沿着想象的轴。

返回值

如果没有错误发生，则复弧切线z返回，在沿假想轴和间隔无界的条带范围内返回。-π/2；+π/2沿着真正的轴线。

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

注记

逆切线%28或弧切%29是一个多值函数，需要在复平面上切一个分支。分支切割按惯例放置在虚轴的线段%28-∞i、-i%29和%28+i、+∞i%29处。逆正切主值的数学定义是：atan z=-

一

*。

二

我Ln%281-iz%29-IN%281+iz

例

二次

#include <iostream>
#include <complex>
#include <cmath>
int main()
{
    std::cout << std::fixed;
    std::complex<double> z1(0, 2
    std::cout << "atan" << z1 << " = " << std::atan(z1) << '\n';
 
    std::complex<double> z2(-0.0, 2
    std::cout << "atan" << z2 << " (the other side of the cut) = "
              << std::atan(z2) << '\n';
 
    std::complex<double> z3(0, INFINITY
    std::cout << "2*atan" << z3 << " = " << 2.0*std::atan(z3) << '\n';
}

二次

产出：

二次

atan(0.000000,2.000000) = (1.570796,0.549306)
atan(-0.000000,2.000000) (the other side of the cut) = (-1.570796,0.549306)
2*atan(0.000000,inf) = (3.141593,0.000000)

二次

另见

asin(std::complex) (C++11)computes arc sine of a complex number (arcsin(z)) (function template)
acos(std::complex) (C++11)computes arc cosine of a complex number (arccos(z)) (function template)
tan(std::complex)computes tangent of a complex number (tan(z)) (function template)
atancomputes arc tangent (arctan(x)) (function)
atan(std::valarray)applies the function std::atan to each element of valarray (function template)

c Catan文件

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