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std::comp_ellint_1

STD：：COMP[医]艾林[医]1，STD：：COMP[医]艾林[医]1F，STD：：COMP[医]艾林[医]1L

double comp_ellint_1( double k double comp_ellint_1( float k double comp_ellint_1( long double k float comp_ellint_1f( float k long double comp_ellint_1l( long double k (1)(since C++17)
double comp_ellint_1( Integral k (2)(since C++17)

1%29计算第一类完全椭圆积分成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，则第一类完全椭圆积分的值k，那就是ellint_1(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。...

大摆周期%28网址：http：//en.wikipara.com/wiki/Pendulum_%28数学%29在重力g的加速度下，长度为l的%29，初始角θ=4Ⅹl/gk%28sin2

%28θ/2%29%29，其中K为std::comp_ellint_1...

例

二次

#include <cmath>
#include <iostream>
int main()
{
    double hpi = std::acos(-1)/2;
    std::cout << "K(0) = " << std::comp_ellint_1(0) << '\n'
              << "π/2 = " << hpi << '\n'
              << "K(0.5) = " << std::comp_ellint_1(0.5) << '\n'
              << "F(0.5, π/2) = " << std::ellint_1(0.5, hpi) << '\n';
    std::cout << "Period of a pendulum length 1 m at 90 degree initial angle is "
              << 4*std::sqrt(1/9.80665)*
                 std::comp_ellint_1(std::pow(std::sin(hpi/2),2)) << " s\n";
}

二次

产出：

二次

K(0) = 1.5708
π/2 = 1.5708
K(0.5) = 1.68575
F(0.5, π/2) = 1.68575
Period of a pendulum length 1 m at 90 degree initial angle is 2.15324 s

二次

外部链接

第一类椭圆积分。来自MathWorld的一个Wolfram Web资源。

另见

ellint_1ellint_1fellint_1l (C++17)(C++17)(C++17)(incomplete) elliptic integral of the first kind (function)

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