Calculates the integrated radial transport coefficients (index 3) It uses Gauss laguerre integration https://en.wikipedia.org/wiki/Gauss%E2%80%93Laguerre_quadrature
function neoclassics_calc_D113()
!! Calculates the integrated radial transport coefficients (index 3)
!! 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) :: D113, neoclassics_calc_D113
real(dp),dimension(no_roots) :: xi,wi
xi = roots
wi = weights
D113(1) = sum(2.0d0/sqrt(pi) * D11_mono(1,:) * xi**(3.0d0-0.5d0) * wi)
D113(2) = sum(2.0d0/sqrt(pi) * D11_mono(2,:) * xi**(3.0d0-0.5d0) * wi)
D113(3) = sum(2.0d0/sqrt(pi) * D11_mono(3,:) * xi**(3.0d0-0.5d0) * wi)
D113(4) = sum(2.0d0/sqrt(pi) * D11_mono(4,:) * xi**(3.0d0-0.5d0) * wi)
neoclassics_calc_D113 = D113
end function neoclassics_calc_D113