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#!/usr/bin/env stack
{- stack script --resolver lts-16.27 --install-ghc
--ghc-options -Wall --ghc-options -Wno-unused-imports -}
{-# language NoImplicitPrelude #-}
{-# language DuplicateRecordFields #-}
import Rebase.Prelude
import Control.Lens
import Data.Ratio
import Text.Printf
toCarpenter :: RealFrac a => a -> (Int, Int, Ratio Int)
toCarpenter l = (feet, div r 32, mod r 32 % 32) where
(feet, r) = divMod (round $ l * 32) (32 * 12)
feetAndInches :: RealFrac a => a -> String
feetAndInches l = case toCarpenter l of
(0,0,0) -> "0 feet 0 inches"
(f,i,t) -> showUnit "foot" "feet" (f % 1) ++
(if f > 0 && (i%1 + t) > 0 then " " else "") ++
showUnit "inch" "inches" (i % 1 + t)
where
showUnit _ _ 0 = ""
showUnit s m n = printf "%s %s" (showVal n) $ if n <= 1 then s else m
showVal v | d == 1 = show n
| v < 1 = printf "%d/%d" n d
| otherwise = printf "%d and %d/%d" (div n d) (mod n d) d
where (n,d) = (numerator v, denominator v)
type Inches = Rational
boardLength, boardThickness, kickerHeight, numShelves, numHorizontals, availableSpace :: Inches
boardLength = 6 * 12
boardThickness = 5/8
kickerHeight = 4
numShelves = 5
numHorizontals = numShelves + 1
availableSpace = boardLength - kickerHeight - numHorizontals * boardThickness
shelves :: [Rational]
shelves = kickerHeight : map (* availableSpace) [2%9, 2%9, 2%9, 1%6, 1%6]
positions :: [Inches]
positions = map (+ boardThickness) $ map sum $ tails shelves
positions' = map (boardLength -) positions
main :: IO ()
main = do
_ <- return $ assert $ sum shelves == 1
print shelves
print positions
print $ map (fromRational :: Rational -> Float) positions
print positions'
print $ map (fromRational :: Rational -> Float) positions'
mapM_ putStrLn $ feetAndInches <$> positions'
return ()
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