w_aS
w_aS = MAX(-x/a , 0)
w_1L ,w_aL
w_1L = MAX(MIN(x , -(x-a)/(a-1)) , 0)
w_aL = MAX(MIN((x-1)/(a-1) , x/a) , 0)
w_1S ,w_2S
w_1S = MAX(MIN(x+2 , -x) , 0)
w_2S = MAX(MIN(-x-1 , -x/2) , 0)
w_1L ,w_2L ,w_3L
w_1L = MAX(MIN(x , 2-x) , 0)
w_2L = MAX(MIN(x-1 , 3-x) , 0)
w_3L = MAX(MIN(x-2 , x/3) , 0)