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Falling sum
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-- emit o numbers in an arithmetic series stepping by -r such that the sum | |
-- of the output numbers is n | |
-- assumes o > 0 | |
allen :: Double -> Double -> Int -> [Double] | |
allen n r o = take o [base,base-r..] where | |
z = fromIntegral o | |
base = n/z + (z-1)*r/2 | |
Examples: | |
*Main> allen 33 5 1 | |
[33.0] | |
*Main> allen 33 5 2 | |
[19.0,14.0] | |
*Main> allen 33 5 3 | |
[16.0,11.0,6.0] | |
*Main> allen 33 5 4 | |
[15.75,10.75,5.75,0.75] | |
*Main> allen 33 5 5 | |
[16.6,11.6,6.6,1.6,-3.4] | |
*Main> allen 33 1 2 | |
[17.0,16.0] | |
*Main> allen 33 1 3 | |
[12.0,11.0,10.0] | |
*Main> allen 33 1 4 | |
[9.75,8.75,7.75,6.75] |
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