Ajout : Hcompta.Chart.

[comptalang.git] / lib / Hcompta / Balance.hs

{-# LANGUAGE DeriveDataTypeable #-}
{-# LANGUAGE FlexibleContexts #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE NamedFieldPuns #-}
{-# LANGUAGE StandaloneDeriving #-}
{-# LANGUAGE TypeFamilies #-}
{-# OPTIONS_GHC -fno-warn-deprecations #-} -- FIXME: to be removed when dropping GHC-7.6 support
module Hcompta.Balance where

-- import           Control.Applicative (Const(..))
import           Control.Exception (assert)
import           Data.Bool
import           Data.Data
import           Data.Either (Either(..))
import           Data.Eq (Eq(..))
import           Data.Ord (Ord(..))
import qualified Data.Foldable
import           Data.Foldable (Foldable(..))
import qualified Data.Map.Strict as Data.Map
import           Data.Map.Strict (Map)
import           Data.Monoid (Monoid(..))
import qualified Data.Strict.Maybe as Strict
import           Data.Typeable ()
import           Text.Show (Show(..))
import           Prelude (($), (.), const, curry, flip, fst, undefined)

import           Hcompta.Account (Account)
import qualified Hcompta.Account as Account
-- import           Hcompta.Lib.Consable (Consable(..))
import qualified Hcompta.Lib.Foldable as Lib.Foldable
import           Hcompta.Lib.TreeMap (TreeMap)
import qualified Hcompta.Lib.TreeMap as Lib.TreeMap

-- * Requirements' interface

-- ** Class 'Amount'
class
 ( Data     (Amount_Unit a)
 , Ord      (Amount_Unit a)
 , Show     (Amount_Unit a)
 , Typeable (Amount_Unit a)
 ) => Amount a where
        type Amount_Unit a
        amount_null   :: a -> Bool
        amount_add    :: a -> a -> a
        amount_negate :: a -> a

-- ** Class 'Posting'

-- | A 'posting' used to produce a 'Balance'
--   must be an instance of this class.
class Amount (Posting_Amount p) => Posting p where
        type Posting_Amount p
        posting_account     :: p -> Account
        posting_amounts     :: p -> Map (Amount_Unit (Posting_Amount p)) (Posting_Amount p)
        posting_set_amounts ::      Map (Amount_Unit (Posting_Amount p)) (Posting_Amount p) -> p -> p

{- NOTE: not needed so far.
instance (Amount amount, unit ~ Amount_Unit amount)
 => Posting (Account, Map unit amount)
 where
        type Posting_Amount (Account, Map unit amount) = amount
        posting_account = fst
        posting_amounts = snd
        posting_set_amounts amounts (acct, _) = (acct, amounts)
-}

instance (Amount amount)
 => Posting (Account, Account_Sum amount)
 where
        type Posting_Amount (Account, Account_Sum amount) = amount
        posting_account = fst
        posting_amounts (_, Account_Sum x) = x
        posting_set_amounts amounts (acct, _) = (acct, Account_Sum amounts)

-- * Type 'Balance'

-- | Sum by 'Account' and sum by 'unit' of some 'Posting's.
--
-- NOTE: to reduce memory consumption when 'cons'ing iteratively,
--       the fields are explicitely stricts.
data Amount  amount
 =>  Balance amount
 =   Balance
 { balance_by_account :: !(Balance_by_Account amount)
 , balance_by_unit    :: !(Balance_by_Unit    amount)
 }
deriving instance ( Amount amount
                  , Data   amount
                  ) => Data (Balance amount)
deriving instance ( Amount amount
                  , Eq     amount
                  ) => Eq (Balance amount)
deriving instance ( Amount amount
                  , Show   amount
                  ) => Show (Balance amount)
deriving instance Typeable1 Balance
 -- FIXME: use 'Typeable' when dropping GHC-7.6 support

instance Amount amount => Monoid (Balance amount) where
        mempty  = empty
        mappend = union

-- ** Type 'Balance_by_Account'
type Balance_by_Account amount
 = TreeMap Account.Account_Section
           (Account_Sum amount)

-- *** Type 'Account_Sum'
-- | A sum of 'amount's,
-- concerning a single 'Account'.
newtype Amount amount
 => Account_Sum amount
 =  Account_Sum (Map (Amount_Unit amount) amount)
get_Account_Sum :: Amount amount => Account_Sum amount -> Map (Amount_Unit amount) amount
get_Account_Sum (Account_Sum m) = m
deriving instance ( Amount amount
                  , Data   amount
                  ) => Data (Account_Sum amount)
deriving instance ( Amount amount
                  , Eq     amount
                  ) => Eq (Account_Sum amount)
deriving instance ( Amount amount
                  , Show   amount
                  ) => Show (Account_Sum amount)
deriving instance Typeable1 Account_Sum
 -- FIXME: use 'Typeable' when dropping GHC-7.6 support

instance Amount amount
 => Monoid (Account_Sum amount) where
        mempty = Account_Sum mempty
        mappend
         (Account_Sum a0)
         (Account_Sum a1) =
                Account_Sum $ Data.Map.unionWith amount_add a0 a1

-- ** Type 'Balance_by_Unit'
newtype Amount      amount
 => Balance_by_Unit amount
 =  Balance_by_Unit (Map (Amount_Unit amount) (Unit_Sum amount))
deriving instance ( Amount amount
                  , Data   amount
                  ) => Data (Balance_by_Unit amount)
deriving instance ( Amount amount
                  , Eq     amount
                  ) => Eq (Balance_by_Unit amount)
deriving instance ( Amount amount
                  , Show   amount
                  ) => Show (Balance_by_Unit amount)
deriving instance Typeable1 Balance_by_Unit
 -- FIXME: use 'Typeable' when dropping GHC-7.6 support

instance Amount amount
 => Monoid (Balance_by_Unit amount) where
        mempty = Balance_by_Unit mempty
        mappend = union_by_unit

-- *** Type 'Unit_Sum'

-- | A sum of 'amount's with their 'Account's involved,
-- concerning a single 'unit'.
data Unit_Sum amount
 =   Unit_Sum
 { unit_sum_amount   :: !amount -- ^ The sum of 'amount's for a single 'unit'.
 , unit_sum_accounts :: !(Map Account ()) -- ^ The 'Account's involved to build 'unit_sum_amount'.
 } deriving (Data, Eq, Show, Typeable)

-- ** Constructors

empty :: Amount amount => Balance amount
empty =
        Balance
         { balance_by_account = mempty
         , balance_by_unit    = mempty
         }

-- | Return the given 'Balance'
--   updated by the given 'Posting'.
cons ::
 ( Posting posting
 , balance ~ Balance (Posting_Amount posting) )
 => posting -> balance -> balance
cons post bal =
        bal
         { balance_by_account = cons_by_account post (balance_by_account bal)
         , balance_by_unit    = cons_by_unit    post (balance_by_unit    bal)
         }

-- | Return the given 'Balance'
--   updated by the given 'Posting's.
postings ::
 ( Posting posting
 , balance ~ Balance (Posting_Amount posting)
 , Foldable foldable )
 => foldable posting -> balance -> balance
postings = flip (Data.Foldable.foldr cons)

-- | Return the first given 'Balance'
--   updated by the second given 'Balance'.
union :: Amount amount
 => Balance amount -> Balance amount -> Balance amount
union
 (Balance b0a b0u)
 (Balance b1a b1u) =
        Balance
         { balance_by_account = union_by_account b0a b1a
         , balance_by_unit    = union_by_unit    b0u b1u
         }

-- | Return the given 'Balance_by_Account'
--   updated by the given 'Posting'.
cons_by_account ::
 ( Posting posting
 , amount ~ Posting_Amount posting
 , unit   ~ Amount_Unit amount
 )
 => posting
 -> Balance_by_Account amount
 -> Balance_by_Account amount
cons_by_account post =
        Lib.TreeMap.insert mappend
         (posting_account post)
         (Account_Sum $ posting_amounts post)

-- | Return the given 'Balance_by_Unit'
--   updated by the given 'Posting'.
cons_by_unit ::
 ( Posting posting
 , amount ~ Posting_Amount posting
 , unit   ~ Amount_Unit amount )
 => posting
 -> Balance_by_Unit amount
 -> Balance_by_Unit amount
cons_by_unit post =
        union_by_unit $
        Balance_by_Unit $
        Data.Map.map
         (\amount -> Unit_Sum
                 { unit_sum_amount   = amount
                 , unit_sum_accounts = Data.Map.singleton (posting_account post) ()
                 })
         (posting_amounts post)

-- | Return a 'Balance_by_Unit'
--   derived from the given 'Balance_by_Account'.
by_unit_of_by_account ::
 ( Amount amount
 , unit ~ Amount_Unit amount
 )
 => Balance_by_Account amount
 -> Balance_by_Unit    amount
 -> Balance_by_Unit    amount
by_unit_of_by_account =
        flip $ Lib.TreeMap.foldr_with_Path $ curry cons_by_unit

-- | Return the first given 'Balance_by_Account'
--   updated by the second given 'Balance_by_Account'.
union_by_account :: Amount amount
 => Balance_by_Account amount
 -> Balance_by_Account amount
 -> Balance_by_Account amount
union_by_account = Lib.TreeMap.union mappend

-- | Return the first given 'Balance_by_Unit'
--   updated by the second given 'Balance_by_Unit'.
union_by_unit :: (Amount amount, unit ~ Amount_Unit amount)
 => Balance_by_Unit amount
 -> Balance_by_Unit amount
 -> Balance_by_Unit amount
union_by_unit
 (Balance_by_Unit a0)
 (Balance_by_Unit a1) =
        Balance_by_Unit $
        Data.Map.unionWith
         (\new old -> Unit_Sum
                 { unit_sum_amount = amount_add
                         (unit_sum_amount old)
                         (unit_sum_amount new)
                 , unit_sum_accounts = Data.Map.unionWith
                         (const::()->()->())
                         (unit_sum_accounts old)
                         (unit_sum_accounts new)
                 })
         a0 a1

-- * Type 'Deviation'

-- | The 'Balance_by_Unit' whose 'unit_sum_amount'
--   is not zero and possible 'Account' to 'infer_equilibrium'.
newtype Amount amount
 => Deviation amount
 =  Deviation (Balance_by_Unit amount)
deriving instance ( Amount amount
                  , Data   amount
                  ) => Data (Deviation amount)
deriving instance ( Amount amount
                  , Eq     amount
                  ) => Eq (Deviation amount)
deriving instance ( Amount amount
                  , Show   amount
                  ) => Show (Deviation amount)
deriving instance Typeable1 Deviation
 -- FIXME: use 'Typeable' when dropping GHC-7.6 support

-- | Return the 'balance_by_unit' of the given 'Balance' with:
--
-- * 'unit's whose 'unit_sum_amount' verifying 'amount_is_zero' removed,
--
-- * and remaining 'unit's having their 'unit_sum_accounts'
-- complemented with the 'balance_by_account' of the given 'Balance'
-- (i.e. now mapping to 'Account's __not__ involved to build the 'Unit_Sum').
deviation
 :: Amount amount
 => Balance amount
 -> Deviation amount
deviation Balance
 { balance_by_account=ba
 , balance_by_unit=Balance_by_Unit bu
 } = do
        let all_accounts = Lib.TreeMap.flatten (const ()) ba
        let max_accounts = Data.Map.size all_accounts
        Deviation $
                Data.Map.foldlWithKey
                 (\(Balance_by_Unit m) unit Unit_Sum{unit_sum_amount, unit_sum_accounts} ->
                        Balance_by_Unit $
                        if amount_null unit_sum_amount
                        then m
                        else
                                case Data.Map.size unit_sum_accounts of
                                 n | n == max_accounts ->
                                        Data.Map.insert unit Unit_Sum
                                         { unit_sum_amount
                                         , unit_sum_accounts = Data.Map.empty
                                         } m
                                 _ -> do
                                        let diff = Data.Map.difference all_accounts unit_sum_accounts
                                        Data.Map.insert unit Unit_Sum
                                         { unit_sum_amount
                                         , unit_sum_accounts = diff
                                         } m
                 )
                 mempty
                 bu

-- ** The equilibrium

-- | Return the 'Balance' (adjusted by inferred 'Amount's)
--   of the given 'Posting's and either:
--
--   * 'Left': the 'Posting's that cannot be inferred.
--   * 'Right': the given 'Posting's with inferred 'Amount's inserted.
infer_equilibrium ::
 ( Posting posting )
 => Map Account [posting]
 -> ( Balance (Posting_Amount posting)
    , Either [Unit_Sum (Posting_Amount posting)] (Map Account [posting])
    )
infer_equilibrium posts = do
        let bal_initial = Data.Foldable.foldr postings empty posts
        let Deviation (Balance_by_Unit dev) = deviation bal_initial
        let (bal_adjusted, eithers) =
                Data.Map.foldrWithKey
                 (\unit unit_sum@(Unit_Sum{unit_sum_amount, unit_sum_accounts})
                 (bal, lr) ->
                        case Data.Map.size unit_sum_accounts of
                         1 ->
                                let acct = fst $ Data.Map.elemAt 0 unit_sum_accounts in
                                let amt = amount_negate unit_sum_amount in
                                let amts = Data.Map.singleton unit amt in
                                ( cons (acct, Account_Sum amts) bal
                                , Right (acct, unit, amt) : lr
                                )
                         _ -> (bal, Left [unit_sum] : lr))
                 (bal_initial, [])
                 dev
        let (l, r) = Lib.Foldable.accumLeftsAndFoldrRights
                 (\(acct, unit, amt) ->
                        Data.Map.insertWith
                         (\_new_ps -> insert_amount (unit, amt))
                         acct (assert False []))
                 posts eithers
        case l of
         [] -> (bal_adjusted, Right r)
         _  -> (bal_adjusted, Left  l)
        where
                insert_amount
                 :: Posting posting
                 => (Amount_Unit (Posting_Amount posting), Posting_Amount posting)
                 -> [posting] -> [posting]
                insert_amount p@(unit, amt) ps =
                        case ps of
                         [] -> assert False []
                         (x:xs) | Data.Map.null (posting_amounts x) ->
                                posting_set_amounts (Data.Map.singleton unit amt) x:xs
                                | Data.Map.notMember unit (posting_amounts x) ->
                                let amts = Data.Map.insertWith
                                         (assert False undefined)
                                         unit amt (posting_amounts x) in
                                posting_set_amounts amts x:xs
                         (x:xs) -> x:insert_amount p xs

-- | Return 'True' if and only if the given 'Deviation' maps no 'unit'.
is_at_equilibrium :: Amount amount => Deviation amount -> Bool
is_at_equilibrium (Deviation (Balance_by_Unit dev)) = Data.Map.null dev

-- | Return 'True' if and only if the given 'Deviation'
-- maps only to 'Unit_Sum's whose 'unit_sum_accounts'
-- maps exactly one 'Account'.
is_equilibrium_inferrable :: Amount amount => Deviation amount -> Bool
is_equilibrium_inferrable (Deviation (Balance_by_Unit dev)) =
        Data.Foldable.all
         (\Unit_Sum{unit_sum_accounts} -> Data.Map.size unit_sum_accounts == 1)
         dev

-- | Return 'True' if and only if the given 'Deviation'
-- maps to at least one 'Unit_Sum' whose 'unit_sum_accounts'
-- maps more than one 'Account'.
is_equilibrium_non_inferrable :: Amount amount => Deviation amount -> Bool
is_equilibrium_non_inferrable (Deviation (Balance_by_Unit dev)) =
        Data.Foldable.any
         (\Unit_Sum{unit_sum_accounts} -> Data.Map.size unit_sum_accounts > 1)
         dev

-- * Type 'Expanded'

-- | Descending propagation of 'Amount's accross 'Account's.
type Expanded amount
 = TreeMap Account.Account_Section (Account_Sum_Expanded amount)
data Amount amount => Account_Sum_Expanded amount
 =   Account_Sum_Expanded
 { exclusive :: !(Account_Sum amount)
 , inclusive :: !(Account_Sum amount) -- ^ 'amount_add' folded over 'exclusive' and 'inclusive' of 'Lib.TreeMap.node_descendants'
 }
deriving instance ( Amount amount
                  , Data   amount
                  ) => Data (Account_Sum_Expanded amount)
deriving instance ( Amount amount
                  , Eq     amount
                  ) => Eq (Account_Sum_Expanded amount)
deriving instance ( Amount amount
                  , Show   amount
                  ) => Show (Account_Sum_Expanded amount)
deriving instance Typeable1 Account_Sum_Expanded
 -- FIXME: use 'Typeable' when dropping GHC-7.6 support

instance Amount amount => Monoid (Account_Sum_Expanded amount) where
        mempty = Account_Sum_Expanded mempty mempty
        mappend
         (Account_Sum_Expanded e0 i0)
         (Account_Sum_Expanded e1 i1) =
                Account_Sum_Expanded
                 (mappend e0 e1)
                 (mappend i0 i1)

-- | Return the given 'Balance_by_Account' with:
--
-- * all missing 'Account.ascending' 'Account's inserted,
--
-- * and every mapped 'Amount'
-- added with any 'Amount'
-- of the 'Account's for which it is 'Account.ascending'.
expanded
 :: Amount amount
 => Balance_by_Account amount
 -> Expanded amount
expanded =
        Lib.TreeMap.map_by_depth_first
         (\descendants value ->
                let exclusive = Strict.fromMaybe mempty value in
                Account_Sum_Expanded
                 { exclusive
                 , inclusive =
                        Data.Map.foldl'
                         ( flip $ mappend . inclusive
                         . Strict.fromMaybe (assert False undefined)
                         . Lib.TreeMap.node_value )
                         exclusive $
                        Lib.TreeMap.nodes descendants
                 })

-- | Return a 'Balance_by_Unit'
--   derived from the given 'Expanded' balance.
--
--   NOTE: also correct if the 'Expanded' has been filtered.
by_unit_of_expanded ::
 ( Amount amount
 , unit ~ Amount_Unit amount
 )
 => Expanded amount
 -> Balance_by_Unit amount
 -> Balance_by_Unit amount
by_unit_of_expanded =
        go []
        where
                go p (Lib.TreeMap.TreeMap m) bal =
                        Data.Map.foldrWithKey
                         (\k Lib.TreeMap.Node{Lib.TreeMap.node_value, Lib.TreeMap.node_descendants} acc ->
                                case node_value of
                                 Strict.Nothing -> go (k:p) node_descendants acc
                                 Strict.Just a  ->
                                        let account = Lib.TreeMap.reverse $ Lib.TreeMap.path k p in
                                        cons_by_unit (account, inclusive a) acc)
                         bal m