airy

auto eve::airy = functor<airy_t>

inlineconstexpr

This function is designed to be faster than two separate calls to eve::airy_ai and eve::airy_bi.

Header file

#include <eve/module/bessel.hpp>

Callable Signatures

namespace eve
{
   constexpr auto airy(eve::floating_value auto x) -> decltype(eve::zip(x,x)) noexcept;
}

Parameters

• x : floating value.

Return value

The tuple {airy_ai (x), airy_bi (x)} is returned.

External references

• Wolfram MathWorld: Airy Functions
• Wikipedia: Airy function
• DLMF: Airy and Related Functions

Example

// revision 1
#include <eve/module/bessel.hpp>
#include <iostream>
 
eve::wide<double> wf0([](auto i, auto c)->double{ return 2*(i-c/2);});
eve::wide         wf1{0.5, -1.5, 0.1, -1.0, 19.0, 25.0, 21.5, 10000.0};
 
int main()
{
   std::cout << "<- wf0 = " << wf0 << "\n";
   std::cout << "<- wf1 = " << wf1 << "\n";
 
   std::cout << "-> airy(wf0) = " << eve::airy(wf0) << "\n";
   std::cout << "-> airy(wf1) = " << eve::airy(wf1) << "\n";
   std::cout << eve::airy(2.0) << std::endl;
}