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std::sqrt(std::complex)

STD：：sqrt%28std：：Complex%29

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

计算复数的平方根。z在负实轴上有一个分支。

参数

z-complex number to take the square root of

返回值

如果没有发生错误，则返回z，在右半平面的范围内，包括虚轴%28。[0；+∞%29沿实轴，%28-∞；+∞%29沿虚轴。%29。

如果这个论点是一个负实数，则结果是在正虚轴上。

错误处理和特殊值

错误报告与math_errhandling...

如果实现支持ieee浮点算法，

  • 考虑到虚部的符号，该函数连续于分支割集上。

  • std::sqrt(std::conj(z))== std::conj(std::sqrt(z))

  • 如果z是(±0,+0)，结果是(+0,+0)

  • 如果z是(x,+∞)，结果是(+∞,+∞)即使x是NaN

  • 如果z是(x,NaN)，结果是(NaN,NaN)%28，除非x是±∞%29和FE_INVALID可能被提高

  • 如果z是(-∞,y)，结果是(+0,+∞)对于有限正y

  • 如果z是(+∞,y)，结果是(+∞,+0)对于有限正y

  • 如果z是(-∞,NaN)，结果是(NaN,∞)%28虚设部分符号未指定%29

  • 如果z是(+∞,NaN)，结果是(+∞,NaN)

  • 如果z是(NaN,y)，结果是(NaN,NaN)和FE_INVALID可能被提高

  • 如果z是(NaN,NaN)，结果是(NaN,NaN)

例

二次

#include <iostream>
#include <complex>
 
int main()
{
    std::cout << "Square root of -4 is "
              << std::sqrt(std::complex<double>(-4, 0)) << '\n'
              << "Square root of (-4,-0), the other side of the cut, is "
              << std::sqrt(std::complex<double>(-4, -0.0)) << '\n';
}

二次

产出：

二次

Square root of -4 is (0,2)
Square root of (-4,-0), the other side of the cut, is (0,-2)

二次

另见

pow(std::complex)complex power, one or both arguments may be a complex number (function template)
sqrtcomputes square root (√x) (function)
sqrt(std::valarray)applies the function std::sqrt to each element of valarray (function template)

c csqrt文档

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