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std::ellint_1

STD：ELINT[医]1，STD：：ellint[医]1F，STD：：ellint[医]1L

double ellint_1( double k, double φ float ellint_1f( float k, float φ long double ellint_1l( long double k, long double φ (1)(since C++17)
Promoted ellint_1( Arithmetic k, Arithmetic φ (2)(since C++17)

1%29计算第一类不完全椭圆积分成k和φ...

2%29一组重载或函数模板，用于%281%29中未涵盖的所有算术类型的参数组合。如果有任何争论积分型，它被铸造成double.如果有任何争论long double，则返回类型Promoted也是long double，否则返回类型总是double...

参数

k-elliptic modulus or eccentricity (a value of a floating-point or integral type)
φ-Jacobi amplitude (a value of floating-point or integral type, measured in radians)

返回值

如果没有错误发生，则第一类不完全椭圆积分的值k和φ，那就是整φ。

0

Dθ

*。

Ⅹ1-k2sin2θ

，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。...

例

二次

#include <cmath>
#include <iostream>
int main()
{
    double hpi = std::acos(-1)/2;
    std::cout << "F(0,π/2) = " << std::ellint_1(0, hpi) << '\n'
              << "F(0,-π/2) = " << std::ellint_1(0, -hpi) << '\n'
              << "π/2 = " << hpi << '\n'
              << "F(0.7,0) = " << std::ellint_1(0.7, 0) << '\n';
}

二次

产出：

二次

F(0,π/2) = 1.5708
F(0,-π/2) = -1.5708
π/2 = 1.5708
F(0.7,0) = 0

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

comp_ellint_1comp_ellint_1fcomp_ellint_1l (C++17)(C++17)(C++17)(complete) elliptic integral of the first kind (function)

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