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std::comp_ellint_2l

STD：：COMP[医]艾林[医]2，STD：：COMP[医]艾林[医]2F，STD：：COMP[医]艾林[医]2L

double comp_ellint_2( double k double comp_ellint_2( float k double comp_ellint_2( long double k float comp_ellint_2f( float k long double comp_ellint_2l( long double k (1)(since C++17)
double comp_ellint_2( Integral k (2)(since C++17)

1%29计算第二类完全椭圆积分成k...

4%29一组过载或接受任意参数的函数模板积分型将参数转换为double...

参数

k-elliptic modulus or eccentricity (a value of a floating-point or integral type)

返回值

如果没有错误发生，则第二类完全椭圆积分的值k，那就是ellint_2(k,π/2)，被归还。

错误处理

错误可以按数学[医]错误处理...

  • 如果参数为nan，则返回nan，并且不报告域错误。

  • 如果k>1时，可能会发生域错误。

注记

不支持C++17但支持的实现ISO 29124：2010，则提供此功能__STDCPP_MATH_SPEC_FUNCS__由实现定义为值至少为201003L，且用户定义__STDCPP_WANT_MATH_SPEC_FUNCS__在包含任何标准库头之前。

不支持iso 29124：2010但支持tr 19768：2007%28TR1%29的实现，在标头中提供此功能。tr1/cmath和命名空间std::tr1...

此功能的实现也是可以在中学里找到。...

偏心椭圆的周长k半长轴a等于4AE%28k%29，其中E为std::comp_ellint_2当偏心度为0时，椭圆退化为半径为a，周长为2πa的圆，因此E%280%29=π/2。当偏心度等于1时，椭圆退化为一条长度为2a的线，其周长为4a，因此E%281%29=1。

例

二次

#include <cmath>
#include <iostream>
int main()
{
    double hpi = std::acos(-1)/2;
    std::cout << "E(0) = " << std::comp_ellint_2(0) << '\n'
              << "π/2 = " << hpi << '\n'
              << "E(1) = " << std::comp_ellint_2(1) << '\n'
              << "E(1, π/2) = " << std::ellint_2(1, hpi) << '\n';
}

二次

产出：

二次

E(0) = 1.5708
π/2 = 1.5708
E(1) = 1
E(1, π/2) = 1

二次

外部链接

第二类完全椭圆积分。来自MathWorld的一个Wolfram Web资源。

另见

ellint_2ellint_2fellint_2l (C++17)(C++17)(C++17)(incomplete) elliptic integral of the second kind (function)

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