{-|
Module      : Gargantext.Viz.Phylo.Tools
Description : Phylomemy Tools to build/manage it
Copyright   : (c) CNRS, 2017-Present
License     : AGPL + CECILL v3
Maintainer  : team@gargantext.org
Stability   : experimental
Portability : POSIX


-}

{-# LANGUAGE NoImplicitPrelude #-}
{-# LANGUAGE FlexibleContexts  #-}
{-# LANGUAGE OverloadedStrings #-}

module Gargantext.Viz.Phylo.Tools
  where

import Control.Lens         hiding (both, Level)
import Data.List            (filter, intersect, (++), sort, null, head, tail, last, tails, delete, nub, concat, union)
import Data.Map             (Map, mapKeys, member, elems, adjust)
import Data.Set             (Set)
import Data.Text            (Text, toLower)
import Data.Tuple.Extra
import Data.Vector          (Vector,elemIndex)
import Gargantext.Prelude   hiding (head)
import Gargantext.Viz.Phylo

import qualified Data.List   as List
import qualified Data.Map    as Map
import qualified Data.Set    as Set
import qualified Data.Vector as Vector


------------------------------------------------------------------------
-- | Tools | --


-- | To add a new PhyloGroupId to a PhyloBranch
addGroupIdToBranch :: PhyloGroupId -> PhyloBranch -> PhyloBranch
addGroupIdToBranch id b = over (phylo_branchGroups) (++ [id]) b


-- | To alter each list of PhyloGroups following a given function
alterPhyloGroups :: ([PhyloGroup] -> [PhyloGroup]) -> Phylo -> Phylo
alterPhyloGroups f p = over ( phylo_periods
                            .  traverse
                            . phylo_periodLevels
                            .  traverse
                            . phylo_levelGroups
                            ) f p 


-- | To alter each PhyloPeriod of a Phylo following a given function
alterPhyloPeriods :: (PhyloPeriod -> PhyloPeriod) -> Phylo -> Phylo
alterPhyloPeriods f p = over ( phylo_periods
                             .  traverse) f p


-- | To alter the list of PhyloBranches of a Phylo
alterPhyloBranches :: ([PhyloBranch] -> [PhyloBranch]) -> Phylo -> Phylo
alterPhyloBranches f p = over ( phylo_branches ) f p


-- | To alter a list of PhyloLevels following a given function
alterPhyloLevels :: ([PhyloLevel] -> [PhyloLevel]) -> Phylo -> Phylo
alterPhyloLevels f p = over ( phylo_periods
                            .  traverse
                            . phylo_periodLevels) f p


-- | To append a list of PhyloPeriod to a Phylo
appendToPhyloPeriods :: [PhyloPeriod] -> Phylo -> Phylo
appendToPhyloPeriods l p = over (phylo_periods) (++ l) p


-- | Does a List of Sets contains at least one Set of an other List
doesAnySetContains :: Eq a =>  Set a -> [Set a] -> [Set a] -> Bool
doesAnySetContains h l l' = any (\c -> doesContains (Set.toList c) (Set.toList h)) (l' ++ l)


-- | Does a list of A contains an other list of A
doesContains :: Eq a => [a] -> [a] -> Bool
doesContains l l'
  | null l'               = True
  | length l' > length l  = False
  | elem (head l') l      = doesContains l (tail l')
  | otherwise             = False


-- | Does a list of ordered A contains an other list of ordered A
doesContainsOrd :: Eq a => Ord a => [a] -> [a] -> Bool
doesContainsOrd l l'
  | null l'          = False
  | last l < head l' = False
  | head l' `elem` l = True
  | otherwise        = doesContainsOrd l (tail l')


 -- | To filter the PhyloGroup of a Phylo according to a function and a value
filterGroups :: Eq a => (PhyloGroup -> a) -> a -> [PhyloGroup] -> [PhyloGroup]
filterGroups f x l = filter (\g -> (f g) == x) l


-- | To filter nested Sets of a
filterNestedSets :: Eq a => Set a -> [Set a] -> [Set a] -> [Set a]
filterNestedSets h l l'
  | null l                 = if doesAnySetContains h l l'
                             then l'
                             else h : l'
  | doesAnySetContains h l l' = filterNestedSets (head l) (tail l) l'
  | otherwise              = filterNestedSets (head l) (tail l) (h : l')


-- | To filter some PhyloEdges with a given threshold
filterPhyloEdges :: Double -> PhyloEdges -> PhyloEdges
filterPhyloEdges thr edges = filter (\((s,t),w) -> w > thr) edges 


-- | To get the PhyloGroups Childs of a PhyloGroup
getGroupChilds :: PhyloGroup -> Phylo -> [PhyloGroup]
getGroupChilds g p = getGroupsFromIds (map fst $ _phylo_groupPeriodChilds g) p


-- | To get the id of a PhyloGroup
getGroupId :: PhyloGroup -> PhyloGroupId
getGroupId = _phylo_groupId


-- | To get the Cooc Matrix of a PhyloGroup
getGroupCooc :: PhyloGroup -> Map (Int,Int) Double
getGroupCooc = _phylo_groupCooc


-- | To get the level out of the id of a PhyloGroup
getGroupLevel :: PhyloGroup -> Int
getGroupLevel = snd . fst . getGroupId


-- | To get the Ngrams of a PhyloGroup
getGroupNgrams :: PhyloGroup -> [Int]
getGroupNgrams =  _phylo_groupNgrams


-- | To get the list of pairs (Childs & Parents) of a PhyloGroup
getGroupPairs :: PhyloGroup -> Phylo -> [PhyloGroup]
getGroupPairs g p = (getGroupChilds g p) ++ (getGroupParents g p)


-- | To get the PhyloGroups Parents of a PhyloGroup
getGroupParents :: PhyloGroup -> Phylo -> [PhyloGroup]
getGroupParents g p = getGroupsFromIds (map fst $ _phylo_groupPeriodParents g) p


-- | To get the period out of the id of a PhyloGroup
getGroupPeriod :: PhyloGroup -> (Date,Date)
getGroupPeriod = fst . fst . getGroupId


-- | To get all the PhyloGroup of a Phylo
getGroups :: Phylo -> [PhyloGroup]
getGroups = view ( phylo_periods
                 .  traverse
                 . phylo_periodLevels
                 .  traverse 
                 . phylo_levelGroups
                 )


-- | To all PhyloGroups matching a list of PhyloGroupIds in a Phylo
getGroupsFromIds :: [PhyloGroupId] -> Phylo -> [PhyloGroup]
getGroupsFromIds ids p = filter (\g -> elem (getGroupId g) ids) $ getGroups p


-- | To get all the PhyloGroup of a Phylo with a given level and period
getGroupsWithFilters :: Int -> (Date,Date) -> Phylo -> [PhyloGroup]
getGroupsWithFilters lvl prd p = (getGroupsWithLevel  lvl p)
                                 `intersect`
                                 (getGroupsWithPeriod prd p)


-- | To get all the PhyloGroup of a Phylo with a given Level
getGroupsWithLevel :: Int -> Phylo -> [PhyloGroup]
getGroupsWithLevel lvl p = filterGroups getGroupLevel lvl (getGroups p)


-- | To get all the PhyloGroup of a Phylo with a given Period
getGroupsWithPeriod :: (Date,Date) -> Phylo -> [PhyloGroup]
getGroupsWithPeriod prd p = filterGroups getGroupPeriod prd (getGroups p)


-- | To get the index of an element of a Vector
getIdx :: Eq a => a -> Vector a -> Int
getIdx x v = case (elemIndex x v) of
              Nothing -> panic "[ERR][Viz.Phylo.Tools.getIndex] Nothing"
              Just i  -> i


-- | To get the good pair of keys (x,y) or (y,x) in a given Map (a,b) c
getKeyPair :: (Int,Int) -> Map (Int,Int) a -> (Int,Int)
getKeyPair (x,y) m = case findPair (x,y) m of
                      Nothing -> panic "[ERR][Viz.Phylo.Example.getKeyPair] Nothing"
                      Just i  -> i
                     where
                      --------------------------------------
                      findPair :: (Int,Int) -> Map (Int,Int) a -> Maybe (Int,Int)
                      findPair (x,y) m
                        | member (x,y) m = Just (x,y)
                        | member (y,x) m = Just (y,x)
                        | otherwise      = Nothing
                      --------------------------------------


-- | To get the neighbours (directed/undirected) of a PhyloGroup from a list of PhyloEdges 
getNeighbours :: Bool -> PhyloGroup -> PhyloEdges -> [PhyloGroup]
getNeighbours directed g e = case directed of 
  True  -> map (\((s,t),w) -> t) 
             $ filter (\((s,t),w) -> s == g) e 
  False -> map (\((s,t),w) -> head $ delete g $ nub [s,t,g]) 
             $ filter (\((s,t),w) -> s == g || t == g) e


-- | To get the Branches of a Phylo
getPhyloBranches :: Phylo -> [PhyloBranch] 
getPhyloBranches = _phylo_branches


-- | To get all the Phylolevels of a given PhyloPeriod
getPhyloLevels :: PhyloPeriod -> [PhyloLevel]
getPhyloLevels = view (phylo_periodLevels)


-- | To get the Ngrams of a Phylo
getPhyloNgrams :: Phylo -> PhyloNgrams
getPhyloNgrams = _phylo_ngrams


-- | To get all the PhyloPeriodIds of a Phylo
getPhyloPeriods :: Phylo -> [PhyloPeriodId]
getPhyloPeriods p = map _phylo_periodId 
                  $ view (phylo_periods) p


-- | To get the id of a given PhyloPeriod
getPhyloPeriodId :: PhyloPeriod -> PhyloPeriodId
getPhyloPeriodId prd = _phylo_periodId prd 


-- | To create a PhyloGroup in a Phylo out of a list of Ngrams and a set of parameters 
initGroup :: [Ngrams] -> Text -> Int -> Int -> Int -> Int -> Phylo -> PhyloGroup
initGroup ngrams lbl idx lvl from to p = PhyloGroup 
  (((from, to), lvl), idx)
  lbl
  (sort $ map (\x -> ngramsToIdx x p) ngrams)
  (Map.empty)
  (Map.empty)
  [] [] [] []


-- | To init a PhyloNgrams as a Vector of Ngrams 
initNgrams :: [Ngrams] -> PhyloNgrams
initNgrams l = Vector.fromList $ map toLower l


-- | To create a Phylo from a list of PhyloPeriods and Ngrams
initPhylo :: [(Date, Date)] -> PhyloNgrams -> Phylo
initPhylo l ngrams = Phylo ((fst . head) l, (snd . last) l) ngrams (map (\prd -> initPhyloPeriod prd []) l) []

-- | To create a PhyloLevel
initPhyloLevel :: PhyloLevelId -> [PhyloGroup] -> PhyloLevel
initPhyloLevel id groups = PhyloLevel id groups


-- | To create a PhyloPeriod
initPhyloPeriod :: PhyloPeriodId -> [PhyloLevel] -> PhyloPeriod
initPhyloPeriod id l = PhyloPeriod id l


-- | To filter Fis with small Support but by keeping non empty Periods
keepFilled :: (Int -> [a] -> [a]) -> Int -> [a] -> [a] 
keepFilled f thr l = if (null $ f thr l) && (not $ null l)
                     then keepFilled f (thr - 1) l
                     else f thr l  


-- | To get all combinations of a list
listToDirectedCombi :: Eq a => [a] -> [(a,a)]
listToDirectedCombi l = [(x,y) | x <- l, y <- l, x /= y]


-- | To get all combinations of a list and apply a function to the resulting list of pairs
listToDirectedCombiWith :: Eq a => forall b. (a -> b) -> [a] -> [(b,b)]
listToDirectedCombiWith f l = [(f x,f y) | x <- l, y <- l, x /= y]


-- | To get all combinations of a list with no repetition
listToUnDirectedCombi :: [a] -> [(a,a)]
listToUnDirectedCombi l = [ (x,y) | (x:rest) <- tails l,  y <- rest ]


-- | To get all combinations of a list with no repetition and apply a function to the resulting list of pairs
listToUnDirectedCombiWith :: forall a b. (a -> b) -> [a] -> [(b,b)]
listToUnDirectedCombiWith f l = [ (f x, f y) | (x:rest) <- tails l,  y <- rest ]


-- | To transform an Ngrams into its corresponding index in a Phylo 
ngramsToIdx :: Ngrams -> Phylo -> Int
ngramsToIdx x p = getIdx x (_phylo_ngrams p)


-- | To set the LevelId of a PhyloLevel and of all its PhyloGroups
setPhyloLevelId :: Int -> PhyloLevel -> PhyloLevel
setPhyloLevelId lvl' (PhyloLevel (id, lvl) groups)
    = PhyloLevel (id, lvl') groups'
        where 
            groups' = over (traverse . phylo_groupId) (\((period, lvl), idx) -> ((period, lvl'), idx)) groups 


-- | To unify the keys (x,y) that Map 1 share with Map 2 such as: (x,y) <=> (y,x)
unifySharedKeys :: Eq a => Ord a => Map (a,a) b -> Map (a,a) b -> Map (a,a) b
unifySharedKeys m1 m2 = mapKeys (\(x,y) -> if member (y,x) m2
                                           then (y,x)
                                           else (x,y) ) m1