Example of the binning process for two bands. Left: k-coefficients on N_g = 20 Gauss-Legendre quadrature points for two bands ( and ). Middle: g-distribution for the two bands resampled on , a grid of N_k = 100 points between k_min and k_max ( and ). The black line indicates the weighted sum of these two g-distributions, i.e., the g-distribution of the super-band (). Right: colored lines are shown as in the left panel. The black line indicates the finely sampled k-distribution (). The gray line represents the k-distribution of the super-band re-sampled on the original g-grid with N_g = 20, i.e., the final k-coefficients ().