E.V.E
v2023.02.15
 
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◆ sph_bessel_y0

eve::sph_bessel_y0 = functor<sph_bessel_y0_t>
inlineconstexpr

It is the solution of \( x^{2}y''+2xy'+x^2 y=0\) for which \( y(0) = -\infty\).

Header file

#include <eve/module/bessel.hpp>

Callable Signatures

namespace eve
{
// Regular overload
constexpr auto sph_bessel_y0(floating_value auto x) -> decltype(x) noexcept; // 1
// Lanes masking
constexpr auto sph_bessel_y0[conditional_expr auto c](floating_value auto x) noexcept; // 2
constexpr auto sph_bessel_y0[logical_value auto m](floating_value auto x) noexcept; // 2
}
Specifies that a type is a Conditional Expression.
Definition: conditional.hpp:27
The concept floating_value<T> is satisfied if and only if T satisfies eve::value and the element type...
Definition: value.hpp:95
The concept logical_value<T> is satisfied if and only if T satisfies eve::value and the element type ...
Definition: value.hpp:107
constexpr auto sph_bessel_y0
Computes the spherical Bessel function of the second kind of order 0, .
Definition: sph_bessel_y0.hpp:75
EVE Main Namespace.
Definition: abi.hpp:18

Parameters

  • x: positive floating argument.
  • c: Conditional expression masking the operation.
  • m: Logical value masking the operation.

Return value

1.The value of \(\displaystyle y_{0}(x)=-\frac{\cos x }{x}\) is returned.

  1. The operation is performed conditionnaly.

External references

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 << "-> sph_bessel_y0(wf0) = " << eve::sph_bessel_y0(wf0) << "\n";
std::cout << "-> sph_bessel_y0[ignore_last(2)](wf0)= " << eve::sph_bessel_y0[eve::ignore_last(2)](wf0) << "\n";
std::cout << "-> sph_bessel_y0[wf0!= 6.0](wf0) = " << eve::sph_bessel_y0[wf0!= 6.0f](wf0) << "\n";
std::cout << "-> sph_bessel_y0(wf1) = " << eve::sph_bessel_y0(wf1) << "\n";
}
Conditional expression ignoring the k last lanes from a eve::simd_value.
Definition: conditional.hpp:304
Wrapper for SIMD registers.
Definition: wide.hpp:71