Calculates the integrated radial transport coefficients (index 1) It uses Gauss laguerre integration https://en.wikipedia.org/wiki/Gauss%E2%80%93Laguerre_quadrature
function neoclassics_calc_D111()
!! Calculates the integrated radial transport coefficients (index 1)
!! It uses Gauss laguerre integration
!! https://en.wikipedia.org/wiki/Gauss%E2%80%93Laguerre_quadrature
!
! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
use const_and_precisions, only: pi
real(dp),dimension(4) :: D111, neoclassics_calc_D111
real(dp),dimension(no_roots) :: xi,wi
xi = roots
wi = weights
D111(1) = sum(2.0d0/sqrt(pi) * D11_mono(1,:) * xi**(1.0d0-0.5d0) * wi)
D111(2) = sum(2.0d0/sqrt(pi) * D11_mono(2,:) * xi**(1.0d0-0.5d0) * wi)
D111(3) = sum(2.0d0/sqrt(pi) * D11_mono(3,:) * xi**(1.0d0-0.5d0) * wi)
D111(4) = sum(2.0d0/sqrt(pi) * D11_mono(4,:) * xi**(1.0d0-0.5d0) * wi)
neoclassics_calc_D111 = D111
end function neoclassics_calc_D111