Computes the Bessel function of the first kind, \( J_0(x)=\frac1{\pi }\int _{0}^{\pi}\cos(x\sin \tau)
\,\mathrm {d} \tau \).
It is the solution of \( x^{2}y''+xy'+x^2y=0\) for which \( y(0) = 1\).
Defined in header
#include <eve/module/bessel.hpp>
{
template< eve::floating_real_value T >
}
constexpr callable_cyl_bessel_j0_ cyl_bessel_j0
Computes the Bessel function of the first kind, .
Definition: cyl_bessel_j0.hpp:54
Definition: all_of.hpp:22
Parameters
Return value
The value of \( \displaystyle J_0(x)=\frac1{\pi }\int _{0}^{\pi}\cos(x\sin \tau )
\,\mathrm {d} \tau \) is returned.
#include <eve/module/bessel.hpp>
#include <eve/wide.hpp>
#include <iostream>
int main()
{
wide_ft pf = {0.5, -1.5, 0.1, -1.0, 19.0, 25.0, 21.5, 10000.0};
std::cout << "---- simd" << '\n'
<< "<- pf = " << pf << '\n'
;
double xd = -1.0;
std::cout << "---- scalar" << '\n'
<< "<- xd = " << xd << '\n'
return 0;
}
Wrapper for SIMD registers.
Definition: wide.hpp:65