{-# LANGUAGE NoImplicitPrelude #-}
-- |
-- Module : Phladiprelio.PermutationsArrMini
-- Copyright : (c) OleksandrZhabenko 2021-2023
-- License : MIT
-- Stability : Experimental
-- Maintainer : oleksandr.zhabenko@yahoo.com
--
-- Special permutations functions for the phonetic-languages series of packages. This
-- module uses no vectors, but instead uses arrays.
module Phladiprelio.PermutationsArrMini (
genPairwisePermutations
, pairsSwapP
, genPairwisePermutationsArrN
, genPairwisePermutationsArr
, genPairwisePermutationsLN
, genPairwisePermutationsL
, genPairwisePermutationsArrLN
, genPairwisePermutationsArrL
) where
import Data.Bits (shiftR)
import GHC.Base
import GHC.Num
import GHC.List
import GHC.Arr
genPairwisePermutations :: Int -> Array Int [Int]
genPairwisePermutations n = listArray (0, shiftR (n*(n-1)) 1) . pairsSwapP . take n $ [0..]
{-# INLINE genPairwisePermutations #-}
pairsSwapP :: [Int] -> [[Int]]
pairsSwapP xs = xs:[swap2Ls k m xs | k <- xs, m <- xs , k < m]
{-# INLINABLE pairsSwapP #-}
-- | The first two arguments are considered not equal, though it is not checked.
swap2ns :: Int -> Int -> Int -> Int
swap2ns k m n
| n /= k = if n /= m then n else k
| otherwise = m
{-# INLINE swap2ns #-}
swap2Ls :: Int -> Int -> [Int] -> [Int]
swap2Ls k m = map (swap2ns k m)
{-# INLINE swap2Ls #-}
genPairwisePermutationsArrN :: Int -> Array Int (Array Int [Int])
genPairwisePermutationsArrN n = amap genPairwisePermutations . listArray (0,n - 2) $ [2..n]
{-# INLINE genPairwisePermutationsArrN #-}
genPairwisePermutationsArr :: Array Int (Array Int [Int])
genPairwisePermutationsArr = genPairwisePermutationsArrN 10
{-# INLINE genPairwisePermutationsArr #-}
genPairwisePermutationsLN :: Int -> [Array Int Int]
genPairwisePermutationsLN n = map (\xs -> listArray (0,n - 1) xs) . pairsSwapP . take n $ [0..]
{-# INLINE genPairwisePermutationsLN #-}
genPairwisePermutationsL :: [Array Int Int]
genPairwisePermutationsL = genPairwisePermutationsLN 10
{-# INLINE genPairwisePermutationsL #-}
genPairwisePermutationsArrLN :: Int -> Array Int [Array Int Int]
genPairwisePermutationsArrLN n = amap genPairwisePermutationsLN . listArray (0,n - 2) $ [2..n]
{-# INLINE genPairwisePermutationsArrLN #-}
genPairwisePermutationsArrL :: Array Int [Array Int Int]
genPairwisePermutationsArrL = genPairwisePermutationsArrLN 10
{-# INLINE genPairwisePermutationsArrL #-}