{-# LANGUAGE CPP #-}
#include "containers.h"
{-# LANGUAGE BangPatterns #-}
#if __GLASGOW_HASKELL__
{-# LANGUAGE DeriveDataTypeable #-}
{-# LANGUAGE DeriveGeneric #-}
{-# LANGUAGE StandaloneDeriving #-}
{-# LANGUAGE FlexibleInstances #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE TypeFamilies #-}
{-# LANGUAGE Trustworthy #-}
#endif
#ifdef DEFINE_PATTERN_SYNONYMS
{-# LANGUAGE PatternSynonyms #-}
{-# LANGUAGE ViewPatterns #-}
#endif
{-# LANGUAGE PatternGuards #-}

{-# OPTIONS_HADDOCK not-home #-}

-----------------------------------------------------------------------------
-- |
-- Module      :  Data.Sequence.Internal
-- Copyright   :  (c) Ross Paterson 2005
--                (c) Louis Wasserman 2009
--                (c) Bertram Felgenhauer, David Feuer, Ross Paterson, and
--                    Milan Straka 2014
-- License     :  BSD-style
-- Maintainer  :  libraries@haskell.org
-- Portability :  portable
--
--
-- = WARNING
--
-- This module is considered __internal__.
--
-- The Package Versioning Policy __does not apply__.
--
-- The contents of this module may change __in any way whatsoever__
-- and __without any warning__ between minor versions of this package.
--
-- Authors importing this module are expected to track development
-- closely.
--
-- = Description
--
-- General purpose finite sequences.
-- Apart from being finite and having strict operations, sequences
-- also differ from lists in supporting a wider variety of operations
-- efficiently.
--
-- An amortized running time is given for each operation, with \( n \) referring
-- to the length of the sequence and \( i \) being the integral index used by
-- some operations. These bounds hold even in a persistent (shared) setting.
--
-- The implementation uses 2-3 finger trees annotated with sizes,
-- as described in section 4.2 of
--
--    * Ralf Hinze and Ross Paterson,
--      \"Finger trees: a simple general-purpose data structure\",
--      /Journal of Functional Programming/ 16:2 (2006) pp 197-217.
--      <http://staff.city.ac.uk/~ross/papers/FingerTree.html>
--
-- /Note/: Many of these operations have the same names as similar
-- operations on lists in the "Prelude". The ambiguity may be resolved
-- using either qualification or the @hiding@ clause.
--
-- /Warning/: The size of a 'Seq' must not exceed @maxBound::Int@.  Violation
-- of this condition is not detected and if the size limit is exceeded, the
-- behaviour of the sequence is undefined.  This is unlikely to occur in most
-- applications, but some care may be required when using '><', '<*>', '*>', or
-- '>>', particularly repeatedly and particularly in combination with
-- 'replicate' or 'fromFunction'.
--
-- @since 0.5.9
-----------------------------------------------------------------------------

module Data.Sequence.Internal (
    Elem(..), FingerTree(..), Node(..), Digit(..), Sized(..), MaybeForce,
#if defined(DEFINE_PATTERN_SYNONYMS)
    Seq (.., Empty, (:<|), (:|>)),
#else
    Seq (..),
#endif
    State(..),
    execState,
    foldDigit,
    foldNode,
    foldWithIndexDigit,
    foldWithIndexNode,

    -- * Construction
    empty,          -- :: Seq a
    singleton,      -- :: a -> Seq a
    (<|),           -- :: a -> Seq a -> Seq a
    (|>),           -- :: Seq a -> a -> Seq a
    (><),           -- :: Seq a -> Seq a -> Seq a
    fromList,       -- :: [a] -> Seq a
    fromFunction,   -- :: Int -> (Int -> a) -> Seq a
    fromArray,      -- :: Ix i => Array i a -> Seq a
    -- ** Repetition
    replicate,      -- :: Int -> a -> Seq a
    replicateA,     -- :: Applicative f => Int -> f a -> f (Seq a)
    replicateM,     -- :: Applicative m => Int -> m a -> m (Seq a)
    cycleTaking,    -- :: Int -> Seq a -> Seq a
    -- ** Iterative construction
    iterateN,       -- :: Int -> (a -> a) -> a -> Seq a
    unfoldr,        -- :: (b -> Maybe (a, b)) -> b -> Seq a
    unfoldl,        -- :: (b -> Maybe (b, a)) -> b -> Seq a
    -- * Deconstruction
    -- | Additional functions for deconstructing sequences are available
    -- via the 'Foldable' instance of 'Seq'.

    -- ** Queries
    null,           -- :: Seq a -> Bool
    length,         -- :: Seq a -> Int
    -- ** Views
    ViewL(..),
    viewl,          -- :: Seq a -> ViewL a
    ViewR(..),
    viewr,          -- :: Seq a -> ViewR a
    -- * Scans
    scanl,          -- :: (a -> b -> a) -> a -> Seq b -> Seq a
    scanl1,         -- :: (a -> a -> a) -> Seq a -> Seq a
    scanr,          -- :: (a -> b -> b) -> b -> Seq a -> Seq b
    scanr1,         -- :: (a -> a -> a) -> Seq a -> Seq a
    -- * Sublists
    tails,          -- :: Seq a -> Seq (Seq a)
    inits,          -- :: Seq a -> Seq (Seq a)
    chunksOf,       -- :: Int -> Seq a -> Seq (Seq a)
    -- ** Sequential searches
    takeWhileL,     -- :: (a -> Bool) -> Seq a -> Seq a
    takeWhileR,     -- :: (a -> Bool) -> Seq a -> Seq a
    dropWhileL,     -- :: (a -> Bool) -> Seq a -> Seq a
    dropWhileR,     -- :: (a -> Bool) -> Seq a -> Seq a
    spanl,          -- :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
    spanr,          -- :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
    breakl,         -- :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
    breakr,         -- :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
    partition,      -- :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
    filter,         -- :: (a -> Bool) -> Seq a -> Seq a
    -- * Indexing
    lookup,         -- :: Int -> Seq a -> Maybe a
    (!?),           -- :: Seq a -> Int -> Maybe a
    index,          -- :: Seq a -> Int -> a
    adjust,         -- :: (a -> a) -> Int -> Seq a -> Seq a
    adjust',        -- :: (a -> a) -> Int -> Seq a -> Seq a
    update,         -- :: Int -> a -> Seq a -> Seq a
    take,           -- :: Int -> Seq a -> Seq a
    drop,           -- :: Int -> Seq a -> Seq a
    insertAt,       -- :: Int -> a -> Seq a -> Seq a
    deleteAt,       -- :: Int -> Seq a -> Seq a
    splitAt,        -- :: Int -> Seq a -> (Seq a, Seq a)
    -- ** Indexing with predicates
    -- | These functions perform sequential searches from the left
    -- or right ends of the sequence, returning indices of matching
    -- elements.
    elemIndexL,     -- :: Eq a => a -> Seq a -> Maybe Int
    elemIndicesL,   -- :: Eq a => a -> Seq a -> [Int]
    elemIndexR,     -- :: Eq a => a -> Seq a -> Maybe Int
    elemIndicesR,   -- :: Eq a => a -> Seq a -> [Int]
    findIndexL,     -- :: (a -> Bool) -> Seq a -> Maybe Int
    findIndicesL,   -- :: (a -> Bool) -> Seq a -> [Int]
    findIndexR,     -- :: (a -> Bool) -> Seq a -> Maybe Int
    findIndicesR,   -- :: (a -> Bool) -> Seq a -> [Int]
    -- * Folds
    -- | General folds are available via the 'Foldable' instance of 'Seq'.
    foldMapWithIndex, -- :: Monoid m => (Int -> a -> m) -> Seq a -> m
    foldlWithIndex, -- :: (b -> Int -> a -> b) -> b -> Seq a -> b
    foldrWithIndex, -- :: (Int -> a -> b -> b) -> b -> Seq a -> b
    -- * Transformations
    mapWithIndex,   -- :: (Int -> a -> b) -> Seq a -> Seq b
    traverseWithIndex, -- :: Applicative f => (Int -> a -> f b) -> Seq a -> f (Seq b)
    reverse,        -- :: Seq a -> Seq a
    intersperse,    -- :: a -> Seq a -> Seq a
    liftA2Seq,      -- :: (a -> b -> c) -> Seq a -> Seq b -> Seq c
    -- ** Zips and unzips
    zip,            -- :: Seq a -> Seq b -> Seq (a, b)
    zipWith,        -- :: (a -> b -> c) -> Seq a -> Seq b -> Seq c
    zip3,           -- :: Seq a -> Seq b -> Seq c -> Seq (a, b, c)
    zipWith3,       -- :: (a -> b -> c -> d) -> Seq a -> Seq b -> Seq c -> Seq d
    zip4,           -- :: Seq a -> Seq b -> Seq c -> Seq d -> Seq (a, b, c, d)
    zipWith4,       -- :: (a -> b -> c -> d -> e) -> Seq a -> Seq b -> Seq c -> Seq d -> Seq e
    unzip,          -- :: Seq (a, b) -> (Seq a, Seq b)
    unzipWith,      -- :: (a -> (b, c)) -> Seq a -> (Seq b, Seq c)
#ifdef TESTING
    deep,
    node2,
    node3,
#endif
    ) where

import Prelude hiding (
    Functor(..),
#if MIN_VERSION_base(4,11,0)
    (<>),
#endif
#if MIN_VERSION_base(4,8,0)
    Applicative, (<$>), foldMap, Monoid,
#endif
    null, length, lookup, take, drop, splitAt, foldl, foldl1, foldr, foldr1,
    scanl, scanl1, scanr, scanr1, replicate, zip, zipWith, zip3, zipWith3,
    unzip, takeWhile, dropWhile, iterate, reverse, filter, mapM, sum, all)
import qualified Data.List
import Control.Applicative (Applicative(..), (<$>), (<**>),  Alternative,
                            liftA2, liftA3)
import qualified Control.Applicative as Applicative
import Control.DeepSeq (NFData(rnf))
import Control.Monad (MonadPlus(..))
import Data.Monoid (Monoid(..))
import Data.Functor (Functor(..))
import Utils.Containers.Internal.State (State(..), execState)
import Data.Foldable (Foldable(foldl, foldl1, foldr, foldr1, foldMap, foldl', foldr'), toList)

#if MIN_VERSION_base(4,9,0)
import qualified Data.Semigroup as Semigroup
import Data.Functor.Classes
#endif
import Data.Traversable
import Data.Typeable

-- GHC specific stuff
#ifdef __GLASGOW_HASKELL__
import GHC.Exts (build)
import Text.Read (Lexeme(Ident), lexP, parens, prec,
    readPrec, readListPrec, readListPrecDefault)
import Data.Data
import Data.String (IsString(..))
#endif
#if __GLASGOW_HASKELL__
import GHC.Generics (Generic, Generic1)
#endif

-- Array stuff, with GHC.Arr on GHC
import Data.Array (Ix, Array)
import qualified Data.Array
#ifdef __GLASGOW_HASKELL__
import qualified GHC.Arr
#endif

import Utils.Containers.Internal.Coercions ((.#), (.^#))
-- Coercion on GHC 7.8+
#if __GLASGOW_HASKELL__ >= 708
import Data.Coerce
import qualified GHC.Exts
#else
#endif

-- Identity functor on base 4.8 (GHC 7.10+)
#if MIN_VERSION_base(4,8,0)
import Data.Functor.Identity (Identity(..))
#endif

#if !MIN_VERSION_base(4,8,0)
import Data.Word (Word)
#endif

import Utils.Containers.Internal.StrictPair (StrictPair (..), toPair)
import Control.Monad.Zip (MonadZip (..))
import Control.Monad.Fix (MonadFix (..), fix)

default ()

-- We define our own copy here, for Monoid only, even though this
-- is now a Semigroup operator in base. The essential reason is that
-- we have absolutely no use for semigroups in this module. Everything
-- that needs to sum things up requires a Monoid constraint to deal
-- with empty sequences. I'm not sure if there's a risk of walking
-- through dictionaries to reach <> from Monoid, but I see no reason
-- to risk it.
infixr 6 <>
(<>) :: Monoid m => m -> m -> m
<> :: m -> m -> m
(<>) = m -> m -> m
forall a. Monoid a => a -> a -> a
mappend
{-# INLINE (<>) #-}

infixr 5 `consTree`
infixl 5 `snocTree`
infixr 5 `appendTree0`

infixr 5 ><
infixr 5 <|, :<
infixl 5 |>, :>

#ifdef DEFINE_PATTERN_SYNONYMS
infixr 5 :<|
infixl 5 :|>

#if __GLASGOW_HASKELL__ >= 801
{-# COMPLETE (:<|), Empty #-}
{-# COMPLETE (:|>), Empty #-}
#endif

-- | A bidirectional pattern synonym matching an empty sequence.
--
-- @since 0.5.8
pattern Empty :: Seq a
pattern $bEmpty :: Seq a
$mEmpty :: forall r a. Seq a -> (Void# -> r) -> (Void# -> r) -> r
Empty = Seq EmptyT

-- | A bidirectional pattern synonym viewing the front of a non-empty
-- sequence.
--
-- @since 0.5.8
pattern (:<|) :: a -> Seq a -> Seq a
pattern x $b:<| :: a -> Seq a -> Seq a
$m:<| :: forall r a. Seq a -> (a -> Seq a -> r) -> (Void# -> r) -> r
:<| xs <- (viewl -> x :< xs)
  where
    x :: a
x :<| xs :: Seq a
xs = a
x a -> Seq a -> Seq a
forall a. a -> Seq a -> Seq a
<| Seq a
xs

-- | A bidirectional pattern synonym viewing the rear of a non-empty
-- sequence.
--
-- @since 0.5.8
pattern (:|>) :: Seq a -> a -> Seq a
pattern xs $b:|> :: Seq a -> a -> Seq a
$m:|> :: forall r a. Seq a -> (Seq a -> a -> r) -> (Void# -> r) -> r
:|> x <- (viewr -> xs :> x)
  where
    xs :: Seq a
xs :|> x :: a
x = Seq a
xs Seq a -> a -> Seq a
forall a. Seq a -> a -> Seq a
|> a
x
#endif

class Sized a where
    size :: a -> Int

-- In much the same way that Sized lets us handle the
-- sizes of elements and nodes uniformly, MaybeForce lets
-- us handle their strictness (or lack thereof) uniformly.
-- We can `mseq` something and not have to worry about
-- whether it's an element or a node.
class MaybeForce a where
  maybeRwhnf :: a -> ()

mseq :: MaybeForce a => a -> b -> b
mseq :: a -> b -> b
mseq a :: a
a b :: b
b = case a -> ()
forall a. MaybeForce a => a -> ()
maybeRwhnf a
a of () -> b
b
{-# INLINE mseq #-}

infixr 0 $!?
($!?) :: MaybeForce a => (a -> b) -> a -> b
f :: a -> b
f $!? :: (a -> b) -> a -> b
$!? a :: a
a = case a -> ()
forall a. MaybeForce a => a -> ()
maybeRwhnf a
a of () -> a -> b
f a
a
{-# INLINE ($!?) #-}

instance MaybeForce (Elem a) where
  maybeRwhnf :: Elem a -> ()
maybeRwhnf _ = ()
  {-# INLINE maybeRwhnf #-}

instance MaybeForce (Node a) where
  maybeRwhnf :: Node a -> ()
maybeRwhnf !Node a
_ = ()
  {-# INLINE maybeRwhnf #-}

-- A wrapper making mseq = seq
newtype ForceBox a = ForceBox a
instance MaybeForce (ForceBox a) where
  maybeRwhnf :: ForceBox a -> ()
maybeRwhnf !ForceBox a
_ = ()
instance Sized (ForceBox a) where
  size :: ForceBox a -> Int
size _ = 1

-- | General-purpose finite sequences.
newtype Seq a = Seq (FingerTree (Elem a))

instance Functor Seq where
    fmap :: (a -> b) -> Seq a -> Seq b
fmap = (a -> b) -> Seq a -> Seq b
forall a b. (a -> b) -> Seq a -> Seq b
fmapSeq
#ifdef __GLASGOW_HASKELL__
    x :: a
x <$ :: a -> Seq b -> Seq a
<$ s :: Seq b
s = Int -> a -> Seq a
forall a. Int -> a -> Seq a
replicate (Seq b -> Int
forall a. Seq a -> Int
length Seq b
s) a
x
#endif

fmapSeq :: (a -> b) -> Seq a -> Seq b
fmapSeq :: (a -> b) -> Seq a -> Seq b
fmapSeq f :: a -> b
f (Seq xs :: FingerTree (Elem a)
xs) = FingerTree (Elem b) -> Seq b
forall a. FingerTree (Elem a) -> Seq a
Seq ((Elem a -> Elem b) -> FingerTree (Elem a) -> FingerTree (Elem b)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap ((a -> b) -> Elem a -> Elem b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> b
f) FingerTree (Elem a)
xs)
#ifdef __GLASGOW_HASKELL__
{-# NOINLINE [1] fmapSeq #-}
{-# RULES
"fmapSeq/fmapSeq" forall f g xs . fmapSeq f (fmapSeq g xs) = fmapSeq (f . g) xs
 #-}
#endif
#if __GLASGOW_HASKELL__ >= 709
-- Safe coercions were introduced in 7.8, but did not work well with RULES yet.
{-# RULES
"fmapSeq/coerce" fmapSeq coerce = coerce
 #-}
#endif

getSeq :: Seq a -> FingerTree (Elem a)
getSeq :: Seq a -> FingerTree (Elem a)
getSeq (Seq xs :: FingerTree (Elem a)
xs) = FingerTree (Elem a)
xs

instance Foldable Seq where
    foldMap :: (a -> m) -> Seq a -> m
foldMap f :: a -> m
f = (Elem a -> m) -> FingerTree (Elem a) -> m
forall (t :: * -> *) m a.
(Foldable t, Monoid m) =>
(a -> m) -> t a -> m
foldMap (a -> m
f (a -> m) -> (Elem a -> a) -> Elem a -> m
forall b a c. Coercible b a => (b -> c) -> (a -> b) -> a -> c
.# Elem a -> a
forall a. Elem a -> a
getElem) (FingerTree (Elem a) -> m)
-> (Seq a -> FingerTree (Elem a)) -> Seq a -> m
forall b a c. Coercible b a => (b -> c) -> (a -> b) -> a -> c
.# Seq a -> FingerTree (Elem a)
forall a. Seq a -> FingerTree (Elem a)
getSeq
    foldr :: (a -> b -> b) -> b -> Seq a -> b
foldr f :: a -> b -> b
f z :: b
z = (Elem a -> b -> b) -> b -> FingerTree (Elem a) -> b
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr (a -> b -> b
f (a -> b -> b) -> (Elem a -> a) -> Elem a -> b -> b
forall b a c. Coercible b a => (b -> c) -> (a -> b) -> a -> c
.# Elem a -> a
forall a. Elem a -> a
getElem) b
z (FingerTree (Elem a) -> b)
-> (Seq a -> FingerTree (Elem a)) -> Seq a -> b
forall b a c. Coercible b a => (b -> c) -> (a -> b) -> a -> c
.# Seq a -> FingerTree (Elem a)
forall a. Seq a -> FingerTree (Elem a)
getSeq
    foldl :: (b -> a -> b) -> b -> Seq a -> b
foldl f :: b -> a -> b
f z :: b
z = (b -> Elem a -> b) -> b -> FingerTree (Elem a) -> b
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl (b -> a -> b
f (b -> a -> b) -> (Elem a -> a) -> b -> Elem a -> b
forall c b a d.
Coercible c b =>
(a -> c -> d) -> (b -> c) -> a -> b -> d
.^# Elem a -> a
forall a. Elem a -> a
getElem) b
z (FingerTree (Elem a) -> b)
-> (Seq a -> FingerTree (Elem a)) -> Seq a -> b
forall b a c. Coercible b a => (b -> c) -> (a -> b) -> a -> c
.# Seq a -> FingerTree (Elem a)
forall a. Seq a -> FingerTree (Elem a)
getSeq

#if __GLASGOW_HASKELL__
    {-# INLINABLE foldMap #-}
    {-# INLINABLE foldr #-}
    {-# INLINABLE foldl #-}
#endif

    foldr' :: (a -> b -> b) -> b -> Seq a -> b
foldr' f :: a -> b -> b
f z :: b
z = (Elem a -> b -> b) -> b -> FingerTree (Elem a) -> b
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr' (a -> b -> b
f (a -> b -> b) -> (Elem a -> a) -> Elem a -> b -> b
forall b a c. Coercible b a => (b -> c) -> (a -> b) -> a -> c
.# Elem a -> a
forall a. Elem a -> a
getElem) b
z (FingerTree (Elem a) -> b)
-> (Seq a -> FingerTree (Elem a)) -> Seq a -> b
forall b a c. Coercible b a => (b -> c) -> (a -> b) -> a -> c
.# Seq a -> FingerTree (Elem a)
forall a. Seq a -> FingerTree (Elem a)
getSeq
    foldl' :: (b -> a -> b) -> b -> Seq a -> b
foldl' f :: b -> a -> b
f z :: b
z = (b -> Elem a -> b) -> b -> FingerTree (Elem a) -> b
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl' (b -> a -> b
f (b -> a -> b) -> (Elem a -> a) -> b -> Elem a -> b
forall c b a d.
Coercible c b =>
(a -> c -> d) -> (b -> c) -> a -> b -> d
.^# Elem a -> a
forall a. Elem a -> a
getElem) b
z (FingerTree (Elem a) -> b)
-> (Seq a -> FingerTree (Elem a)) -> Seq a -> b
forall b a c. Coercible b a => (b -> c) -> (a -> b) -> a -> c
.# Seq a -> FingerTree (Elem a)
forall a. Seq a -> FingerTree (Elem a)
getSeq

#if __GLASGOW_HASKELL__
    {-# INLINABLE foldr' #-}
    {-# INLINABLE foldl' #-}
#endif

    foldr1 :: (a -> a -> a) -> Seq a -> a
foldr1 f :: a -> a -> a
f (Seq xs :: FingerTree (Elem a)
xs) = Elem a -> a
forall a. Elem a -> a
getElem ((Elem a -> Elem a -> Elem a) -> FingerTree (Elem a) -> Elem a
forall (t :: * -> *) a. Foldable t => (a -> a -> a) -> t a -> a
foldr1 Elem a -> Elem a -> Elem a
f' FingerTree (Elem a)
xs)
      where f' :: Elem a -> Elem a -> Elem a
f' (Elem x :: a
x) (Elem y :: a
y) = a -> Elem a
forall a. a -> Elem a
Elem (a -> a -> a
f a
x a
y)

    foldl1 :: (a -> a -> a) -> Seq a -> a
foldl1 f :: a -> a -> a
f (Seq xs :: FingerTree (Elem a)
xs) = Elem a -> a
forall a. Elem a -> a
getElem ((Elem a -> Elem a -> Elem a) -> FingerTree (Elem a) -> Elem a
forall (t :: * -> *) a. Foldable t => (a -> a -> a) -> t a -> a
foldl1 Elem a -> Elem a -> Elem a
f' FingerTree (Elem a)
xs)
      where f' :: Elem a -> Elem a -> Elem a
f' (Elem x :: a
x) (Elem y :: a
y) = a -> Elem a
forall a. a -> Elem a
Elem (a -> a -> a
f a
x a
y)

#if MIN_VERSION_base(4,8,0)
    length :: Seq a -> Int
length = Seq a -> Int
forall a. Seq a -> Int
length
    {-# INLINE length #-}
    null :: Seq a -> Bool
null   = Seq a -> Bool
forall a. Seq a -> Bool
null
    {-# INLINE null #-}
#endif

instance Traversable Seq where
#if __GLASGOW_HASKELL__
    {-# INLINABLE traverse #-}
#endif
    traverse :: (a -> f b) -> Seq a -> f (Seq b)
traverse _ (Seq EmptyT) = Seq b -> f (Seq b)
forall (f :: * -> *) a. Applicative f => a -> f a
pure (FingerTree (Elem b) -> Seq b
forall a. FingerTree (Elem a) -> Seq a
Seq FingerTree (Elem b)
forall a. FingerTree a
EmptyT)
    traverse f' :: a -> f b
f' (Seq (Single (Elem x' :: a
x'))) =
        (\x'' :: b
x'' -> FingerTree (Elem b) -> Seq b
forall a. FingerTree (Elem a) -> Seq a
Seq (Elem b -> FingerTree (Elem b)
forall a. a -> FingerTree a
Single (b -> Elem b
forall a. a -> Elem a
Elem b
x''))) (b -> Seq b) -> f b -> f (Seq b)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> a -> f b
f' a
x'
    traverse f' :: a -> f b
f' (Seq (Deep s' :: Int
s' pr' :: Digit (Elem a)
pr' m' :: FingerTree (Node (Elem a))
m' sf' :: Digit (Elem a)
sf')) =
        (Digit (Elem b)
 -> FingerTree (Node (Elem b)) -> Digit (Elem b) -> Seq b)
-> f (Digit (Elem b))
-> f (FingerTree (Node (Elem b)))
-> f (Digit (Elem b))
-> f (Seq b)
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3
            (\pr'' :: Digit (Elem b)
pr'' m'' :: FingerTree (Node (Elem b))
m'' sf'' :: Digit (Elem b)
sf'' -> FingerTree (Elem b) -> Seq b
forall a. FingerTree (Elem a) -> Seq a
Seq (Int
-> Digit (Elem b)
-> FingerTree (Node (Elem b))
-> Digit (Elem b)
-> FingerTree (Elem b)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s' Digit (Elem b)
pr'' FingerTree (Node (Elem b))
m'' Digit (Elem b)
sf''))
            ((a -> f b) -> Digit (Elem a) -> f (Digit (Elem b))
forall (f :: * -> *) a b.
Applicative f =>
(a -> f b) -> Digit (Elem a) -> f (Digit (Elem b))
traverseDigitE a -> f b
f' Digit (Elem a)
pr')
            ((Node (Elem a) -> f (Node (Elem b)))
-> FingerTree (Node (Elem a)) -> f (FingerTree (Node (Elem b)))
forall (f :: * -> *) a b.
Applicative f =>
(Node a -> f (Node b))
-> FingerTree (Node a) -> f (FingerTree (Node b))
traverseTree ((a -> f b) -> Node (Elem a) -> f (Node (Elem b))
forall (f :: * -> *) a b.
Applicative f =>
(a -> f b) -> Node (Elem a) -> f (Node (Elem b))
traverseNodeE a -> f b
f') FingerTree (Node (Elem a))
m')
            ((a -> f b) -> Digit (Elem a) -> f (Digit (Elem b))
forall (f :: * -> *) a b.
Applicative f =>
(a -> f b) -> Digit (Elem a) -> f (Digit (Elem b))
traverseDigitE a -> f b
f' Digit (Elem a)
sf')
      where
        traverseTree
            :: Applicative f
            => (Node a -> f (Node b))
            -> FingerTree (Node a)
            -> f (FingerTree (Node b))
        traverseTree :: (Node a -> f (Node b))
-> FingerTree (Node a) -> f (FingerTree (Node b))
traverseTree _ EmptyT = FingerTree (Node b) -> f (FingerTree (Node b))
forall (f :: * -> *) a. Applicative f => a -> f a
pure FingerTree (Node b)
forall a. FingerTree a
EmptyT
        traverseTree f :: Node a -> f (Node b)
f (Single x :: Node a
x) = Node b -> FingerTree (Node b)
forall a. a -> FingerTree a
Single (Node b -> FingerTree (Node b))
-> f (Node b) -> f (FingerTree (Node b))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Node a -> f (Node b)
f Node a
x
        traverseTree f :: Node a -> f (Node b)
f (Deep s :: Int
s pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf) =
            (Digit (Node b)
 -> FingerTree (Node (Node b))
 -> Digit (Node b)
 -> FingerTree (Node b))
-> f (Digit (Node b))
-> f (FingerTree (Node (Node b)))
-> f (Digit (Node b))
-> f (FingerTree (Node b))
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3
                (Int
-> Digit (Node b)
-> FingerTree (Node (Node b))
-> Digit (Node b)
-> FingerTree (Node b)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s)
                ((Node a -> f (Node b)) -> Digit (Node a) -> f (Digit (Node b))
forall (f :: * -> *) a b.
Applicative f =>
(Node a -> f (Node b)) -> Digit (Node a) -> f (Digit (Node b))
traverseDigitN Node a -> f (Node b)
f Digit (Node a)
pr)
                ((Node (Node a) -> f (Node (Node b)))
-> FingerTree (Node (Node a)) -> f (FingerTree (Node (Node b)))
forall (f :: * -> *) a b.
Applicative f =>
(Node a -> f (Node b))
-> FingerTree (Node a) -> f (FingerTree (Node b))
traverseTree ((Node a -> f (Node b)) -> Node (Node a) -> f (Node (Node b))
forall (f :: * -> *) a b.
Applicative f =>
(Node a -> f (Node b)) -> Node (Node a) -> f (Node (Node b))
traverseNodeN Node a -> f (Node b)
f) FingerTree (Node (Node a))
m)
                ((Node a -> f (Node b)) -> Digit (Node a) -> f (Digit (Node b))
forall (f :: * -> *) a b.
Applicative f =>
(Node a -> f (Node b)) -> Digit (Node a) -> f (Digit (Node b))
traverseDigitN Node a -> f (Node b)
f Digit (Node a)
sf)
        traverseDigitE
            :: Applicative f
            => (a -> f b) -> Digit (Elem a) -> f (Digit (Elem b))
        traverseDigitE :: (a -> f b) -> Digit (Elem a) -> f (Digit (Elem b))
traverseDigitE f :: a -> f b
f (One (Elem a :: a
a)) =
            (\a' :: b
a' -> Elem b -> Digit (Elem b)
forall a. a -> Digit a
One (b -> Elem b
forall a. a -> Elem a
Elem b
a')) (b -> Digit (Elem b)) -> f b -> f (Digit (Elem b))
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$>
            a -> f b
f a
a
        traverseDigitE f :: a -> f b
f (Two (Elem a :: a
a) (Elem b :: a
b)) =
            (b -> b -> Digit (Elem b)) -> f b -> f b -> f (Digit (Elem b))
forall (f :: * -> *) a b c.
Applicative f =>
(a -> b -> c) -> f a -> f b -> f c
liftA2
                (\a' :: b
a' b' :: b
b' -> Elem b -> Elem b -> Digit (Elem b)
forall a. a -> a -> Digit a
Two (b -> Elem b
forall a. a -> Elem a
Elem b
a') (b -> Elem b
forall a. a -> Elem a
Elem b
b'))
                (a -> f b
f a
a)
                (a -> f b
f a
b)
        traverseDigitE f :: a -> f b
f (Three (Elem a :: a
a) (Elem b :: a
b) (Elem c :: a
c)) =
            (b -> b -> b -> Digit (Elem b))
-> f b -> f b -> f b -> f (Digit (Elem b))
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3
                (\a' :: b
a' b' :: b
b' c' :: b
c' ->
                      Elem b -> Elem b -> Elem b -> Digit (Elem b)
forall a. a -> a -> a -> Digit a
Three (b -> Elem b
forall a. a -> Elem a
Elem b
a') (b -> Elem b
forall a. a -> Elem a
Elem b
b') (b -> Elem b
forall a. a -> Elem a
Elem b
c'))
                (a -> f b
f a
a)
                (a -> f b
f a
b)
                (a -> f b
f a
c)
        traverseDigitE f :: a -> f b
f (Four (Elem a :: a
a) (Elem b :: a
b) (Elem c :: a
c) (Elem d :: a
d)) =
            (b -> b -> b -> b -> Digit (Elem b))
-> f b -> f b -> f b -> f (b -> Digit (Elem b))
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3
                (\a' :: b
a' b' :: b
b' c' :: b
c' d' :: b
d' -> Elem b -> Elem b -> Elem b -> Elem b -> Digit (Elem b)
forall a. a -> a -> a -> a -> Digit a
Four (b -> Elem b
forall a. a -> Elem a
Elem b
a') (b -> Elem b
forall a. a -> Elem a
Elem b
b') (b -> Elem b
forall a. a -> Elem a
Elem b
c') (b -> Elem b
forall a. a -> Elem a
Elem b
d'))
                (a -> f b
f a
a)
                (a -> f b
f a
b)
                (a -> f b
f a
c) f (b -> Digit (Elem b)) -> f b -> f (Digit (Elem b))
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> 
                (a -> f b
f a
d)
        traverseDigitN
            :: Applicative f
            => (Node a -> f (Node b)) -> Digit (Node a) -> f (Digit (Node b))
        traverseDigitN :: (Node a -> f (Node b)) -> Digit (Node a) -> f (Digit (Node b))
traverseDigitN f :: Node a -> f (Node b)
f t :: Digit (Node a)
t = (Node a -> f (Node b)) -> Digit (Node a) -> f (Digit (Node b))
forall (t :: * -> *) (f :: * -> *) a b.
(Traversable t, Applicative f) =>
(a -> f b) -> t a -> f (t b)
traverse Node a -> f (Node b)
f Digit (Node a)
t
        traverseNodeE
            :: Applicative f
            => (a -> f b) -> Node (Elem a) -> f (Node (Elem b))
        traverseNodeE :: (a -> f b) -> Node (Elem a) -> f (Node (Elem b))
traverseNodeE f :: a -> f b
f (Node2 s :: Int
s (Elem a :: a
a) (Elem b :: a
b)) =
            (b -> b -> Node (Elem b)) -> f b -> f b -> f (Node (Elem b))
forall (f :: * -> *) a b c.
Applicative f =>
(a -> b -> c) -> f a -> f b -> f c
liftA2
                (\a' :: b
a' b' :: b
b' -> Int -> Elem b -> Elem b -> Node (Elem b)
forall a. Int -> a -> a -> Node a
Node2 Int
s (b -> Elem b
forall a. a -> Elem a
Elem b
a') (b -> Elem b
forall a. a -> Elem a
Elem b
b'))
                (a -> f b
f a
a)
                (a -> f b
f a
b)
        traverseNodeE f :: a -> f b
f (Node3 s :: Int
s (Elem a :: a
a) (Elem b :: a
b) (Elem c :: a
c)) =
            (b -> b -> b -> Node (Elem b))
-> f b -> f b -> f b -> f (Node (Elem b))
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3
                (\a' :: b
a' b' :: b
b' c' :: b
c' ->
                      Int -> Elem b -> Elem b -> Elem b -> Node (Elem b)
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s (b -> Elem b
forall a. a -> Elem a
Elem b
a') (b -> Elem b
forall a. a -> Elem a
Elem b
b') (b -> Elem b
forall a. a -> Elem a
Elem b
c'))
                (a -> f b
f a
a)
                (a -> f b
f a
b)
                (a -> f b
f a
c)
        traverseNodeN
            :: Applicative f
            => (Node a -> f (Node b)) -> Node (Node a) -> f (Node (Node b))
        traverseNodeN :: (Node a -> f (Node b)) -> Node (Node a) -> f (Node (Node b))
traverseNodeN f :: Node a -> f (Node b)
f t :: Node (Node a)
t = (Node a -> f (Node b)) -> Node (Node a) -> f (Node (Node b))
forall (t :: * -> *) (f :: * -> *) a b.
(Traversable t, Applicative f) =>
(a -> f b) -> t a -> f (t b)
traverse Node a -> f (Node b)
f Node (Node a)
t

instance NFData a => NFData (Seq a) where
    rnf :: Seq a -> ()
rnf (Seq xs :: FingerTree (Elem a)
xs) = FingerTree (Elem a) -> ()
forall a. NFData a => a -> ()
rnf FingerTree (Elem a)
xs

instance Monad Seq where
    return :: a -> Seq a
return = a -> Seq a
forall (f :: * -> *) a. Applicative f => a -> f a
pure
    xs :: Seq a
xs >>= :: Seq a -> (a -> Seq b) -> Seq b
>>= f :: a -> Seq b
f = (Seq b -> a -> Seq b) -> Seq b -> Seq a -> Seq b
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl' Seq b -> a -> Seq b
add Seq b
forall a. Seq a
empty Seq a
xs
      where add :: Seq b -> a -> Seq b
add ys :: Seq b
ys x :: a
x = Seq b
ys Seq b -> Seq b -> Seq b
forall a. Seq a -> Seq a -> Seq a
>< a -> Seq b
f a
x
    >> :: Seq a -> Seq b -> Seq b
(>>) = Seq a -> Seq b -> Seq b
forall (f :: * -> *) a b. Applicative f => f a -> f b -> f b
(*>)

-- | @since 0.5.11
instance MonadFix Seq where
    mfix :: (a -> Seq a) -> Seq a
mfix = (a -> Seq a) -> Seq a
forall a. (a -> Seq a) -> Seq a
mfixSeq

-- This is just like the instance for lists, but we can take advantage of
-- constant-time length and logarithmic-time indexing to speed things up.
-- Using fromFunction, we make this about as lazy as we can.
mfixSeq :: (a -> Seq a) -> Seq a
mfixSeq :: (a -> Seq a) -> Seq a
mfixSeq f :: a -> Seq a
f = Int -> (Int -> a) -> Seq a
forall a. Int -> (Int -> a) -> Seq a
fromFunction (Seq a -> Int
forall a. Seq a -> Int
length (a -> Seq a
f a
forall a. a
err)) (\k :: Int
k -> (a -> a) -> a
forall a. (a -> a) -> a
fix (\xk :: a
xk -> a -> Seq a
f a
xk Seq a -> Int -> a
forall a. Seq a -> Int -> a
`index` Int
k))
  where
    err :: a
err = [Char] -> a
forall a. HasCallStack => [Char] -> a
error "mfix for Data.Sequence.Seq applied to strict function"

-- | @since 0.5.4
instance Applicative Seq where
    pure :: a -> Seq a
pure = a -> Seq a
forall a. a -> Seq a
singleton
    xs :: Seq a
xs *> :: Seq a -> Seq b -> Seq b
*> ys :: Seq b
ys = Int -> Seq b -> Seq b
forall a. Int -> Seq a -> Seq a
cycleNTimes (Seq a -> Int
forall a. Seq a -> Int
length Seq a
xs) Seq b
ys
    <*> :: Seq (a -> b) -> Seq a -> Seq b
(<*>) = Seq (a -> b) -> Seq a -> Seq b
forall a b. Seq (a -> b) -> Seq a -> Seq b
apSeq
#if MIN_VERSION_base(4,10,0)
    liftA2 :: (a -> b -> c) -> Seq a -> Seq b -> Seq c
liftA2 = (a -> b -> c) -> Seq a -> Seq b -> Seq c
forall a b c. (a -> b -> c) -> Seq a -> Seq b -> Seq c
liftA2Seq
#endif

apSeq :: Seq (a -> b) -> Seq a -> Seq b
apSeq :: Seq (a -> b) -> Seq a -> Seq b
apSeq fs :: Seq (a -> b)
fs xs :: Seq a
xs@(Seq xsFT :: FingerTree (Elem a)
xsFT) = case Seq (a -> b) -> ViewL (a -> b)
forall a. Seq a -> ViewL a
viewl Seq (a -> b)
fs of
  EmptyL -> Seq b
forall a. Seq a
empty
  firstf :: a -> b
firstf :< fs' :: Seq (a -> b)
fs' -> case Seq (a -> b) -> ViewR (a -> b)
forall a. Seq a -> ViewR a
viewr Seq (a -> b)
fs' of
    EmptyR -> (a -> b) -> Seq a -> Seq b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> b
firstf Seq a
xs
    Seq fs''FT :: FingerTree (Elem (a -> b))
fs''FT :> lastf :: a -> b
lastf -> case FingerTree (Elem a) -> Rigidified (Elem a)
forall a. FingerTree (Elem a) -> Rigidified (Elem a)
rigidify FingerTree (Elem a)
xsFT of
         RigidEmpty -> Seq b
forall a. Seq a
empty
         RigidOne (Elem x :: a
x) -> ((a -> b) -> b) -> Seq (a -> b) -> Seq b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap ((a -> b) -> a -> b
forall a b. (a -> b) -> a -> b
$a
x) Seq (a -> b)
fs
         RigidTwo (Elem x1 :: a
x1) (Elem x2 :: a
x2) ->
            FingerTree (Elem b) -> Seq b
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem b) -> Seq b) -> FingerTree (Elem b) -> Seq b
forall a b. (a -> b) -> a -> b
$ (a -> b)
-> FingerTree (Elem (a -> b))
-> (a -> b)
-> (a, a)
-> FingerTree (Elem b)
forall a b.
(a -> b)
-> FingerTree (Elem (a -> b))
-> (a -> b)
-> (a, a)
-> FingerTree (Elem b)
ap2FT a -> b
firstf FingerTree (Elem (a -> b))
fs''FT a -> b
lastf (a
x1, a
x2)
         RigidThree (Elem x1 :: a
x1) (Elem x2 :: a
x2) (Elem x3 :: a
x3) ->
            FingerTree (Elem b) -> Seq b
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem b) -> Seq b) -> FingerTree (Elem b) -> Seq b
forall a b. (a -> b) -> a -> b
$ (a -> b)
-> FingerTree (Elem (a -> b))
-> (a -> b)
-> (a, a, a)
-> FingerTree (Elem b)
forall a b.
(a -> b)
-> FingerTree (Elem (a -> b))
-> (a -> b)
-> (a, a, a)
-> FingerTree (Elem b)
ap3FT a -> b
firstf FingerTree (Elem (a -> b))
fs''FT a -> b
lastf (a
x1, a
x2, a
x3)
         RigidFull r :: Rigid (Elem a)
r@(Rigid s :: Int
s pr :: Digit23 (Elem a)
pr _m :: Thin (Digit23 (Elem a))
_m sf :: Digit23 (Elem a)
sf) -> FingerTree (Elem b) -> Seq b
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem b) -> Seq b) -> FingerTree (Elem b) -> Seq b
forall a b. (a -> b) -> a -> b
$
               Int
-> Digit (Elem b)
-> FingerTree (Node (Elem b))
-> Digit (Elem b)
-> FingerTree (Elem b)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
* Seq (a -> b) -> Int
forall a. Seq a -> Int
length Seq (a -> b)
fs)
                    ((Elem a -> Elem b) -> Digit (Elem a) -> Digit (Elem b)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap ((a -> b) -> Elem a -> Elem b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> b
firstf) (Digit23 (Elem a) -> Digit (Elem a)
forall a. Node a -> Digit a
nodeToDigit Digit23 (Elem a)
pr))
                    ((Elem a -> Elem b)
-> (Elem a -> Elem b)
-> ((a -> b) -> Elem a -> Elem b)
-> FingerTree (Elem (a -> b))
-> Rigid (Elem a)
-> FingerTree (Node (Elem b))
forall b c a.
(b -> c)
-> (b -> c)
-> (a -> b -> c)
-> FingerTree (Elem a)
-> Rigid b
-> FingerTree (Node c)
aptyMiddle ((a -> b) -> Elem a -> Elem b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> b
firstf) ((a -> b) -> Elem a -> Elem b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> b
lastf) (a -> b) -> Elem a -> Elem b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap FingerTree (Elem (a -> b))
fs''FT Rigid (Elem a)
r)
                    ((Elem a -> Elem b) -> Digit (Elem a) -> Digit (Elem b)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap ((a -> b) -> Elem a -> Elem b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> b
lastf) (Digit23 (Elem a) -> Digit (Elem a)
forall a. Node a -> Digit a
nodeToDigit Digit23 (Elem a)
sf))
{-# NOINLINE [1] apSeq #-}

{-# RULES
"ap/fmap1" forall f xs ys . apSeq (fmapSeq f xs) ys = liftA2Seq f xs ys
"ap/fmap2" forall f gs xs . apSeq gs (fmapSeq f xs) =
                              liftA2Seq (\g x -> g (f x)) gs xs
"fmap/ap" forall f gs xs . fmapSeq f (gs `apSeq` xs) =
                             liftA2Seq (\g x -> f (g x)) gs xs
"fmap/liftA2" forall f g m n . fmapSeq f (liftA2Seq g m n) =
                       liftA2Seq (\x y -> f (g x y)) m n
"liftA2/fmap1" forall f g m n . liftA2Seq f (fmapSeq g m) n =
                       liftA2Seq (\x y -> f (g x) y) m n
"liftA2/fmap2" forall f g m n . liftA2Seq f m (fmapSeq g n) =
                       liftA2Seq (\x y -> f x (g y)) m n
 #-}

ap2FT :: (a -> b) -> FingerTree (Elem (a->b)) -> (a -> b) -> (a,a) -> FingerTree (Elem b)
ap2FT :: (a -> b)
-> FingerTree (Elem (a -> b))
-> (a -> b)
-> (a, a)
-> FingerTree (Elem b)
ap2FT firstf :: a -> b
firstf fs :: FingerTree (Elem (a -> b))
fs lastf :: a -> b
lastf (x :: a
x,y :: a
y) =
                 Int
-> Digit (Elem b)
-> FingerTree (Node (Elem b))
-> Digit (Elem b)
-> FingerTree (Elem b)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (FingerTree (Elem (a -> b)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Elem (a -> b))
fs Int -> Int -> Int
forall a. Num a => a -> a -> a
* 2 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 4)
                      (Elem b -> Elem b -> Digit (Elem b)
forall a. a -> a -> Digit a
Two (b -> Elem b
forall a. a -> Elem a
Elem (b -> Elem b) -> b -> Elem b
forall a b. (a -> b) -> a -> b
$ a -> b
firstf a
x) (b -> Elem b
forall a. a -> Elem a
Elem (b -> Elem b) -> b -> Elem b
forall a b. (a -> b) -> a -> b
$ a -> b
firstf a
y))
                      (Int
-> (Elem (a -> b) -> Node (Elem b))
-> FingerTree (Elem (a -> b))
-> FingerTree (Node (Elem b))
forall a b. Int -> (a -> b) -> FingerTree a -> FingerTree b
mapMulFT 2 (\(Elem f :: a -> b
f) -> Int -> Elem b -> Elem b -> Node (Elem b)
forall a. Int -> a -> a -> Node a
Node2 2 (b -> Elem b
forall a. a -> Elem a
Elem (a -> b
f a
x)) (b -> Elem b
forall a. a -> Elem a
Elem (a -> b
f a
y))) FingerTree (Elem (a -> b))
fs)
                      (Elem b -> Elem b -> Digit (Elem b)
forall a. a -> a -> Digit a
Two (b -> Elem b
forall a. a -> Elem a
Elem (b -> Elem b) -> b -> Elem b
forall a b. (a -> b) -> a -> b
$ a -> b
lastf a
x) (b -> Elem b
forall a. a -> Elem a
Elem (b -> Elem b) -> b -> Elem b
forall a b. (a -> b) -> a -> b
$ a -> b
lastf a
y))

ap3FT :: (a -> b) -> FingerTree (Elem (a->b)) -> (a -> b) -> (a,a,a) -> FingerTree (Elem b)
ap3FT :: (a -> b)
-> FingerTree (Elem (a -> b))
-> (a -> b)
-> (a, a, a)
-> FingerTree (Elem b)
ap3FT firstf :: a -> b
firstf fs :: FingerTree (Elem (a -> b))
fs lastf :: a -> b
lastf (x :: a
x,y :: a
y,z :: a
z) = Int
-> Digit (Elem b)
-> FingerTree (Node (Elem b))
-> Digit (Elem b)
-> FingerTree (Elem b)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (FingerTree (Elem (a -> b)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Elem (a -> b))
fs Int -> Int -> Int
forall a. Num a => a -> a -> a
* 3 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 6)
                        (Elem b -> Elem b -> Elem b -> Digit (Elem b)
forall a. a -> a -> a -> Digit a
Three (b -> Elem b
forall a. a -> Elem a
Elem (b -> Elem b) -> b -> Elem b
forall a b. (a -> b) -> a -> b
$ a -> b
firstf a
x) (b -> Elem b
forall a. a -> Elem a
Elem (b -> Elem b) -> b -> Elem b
forall a b. (a -> b) -> a -> b
$ a -> b
firstf a
y) (b -> Elem b
forall a. a -> Elem a
Elem (b -> Elem b) -> b -> Elem b
forall a b. (a -> b) -> a -> b
$ a -> b
firstf a
z))
                        (Int
-> (Elem (a -> b) -> Node (Elem b))
-> FingerTree (Elem (a -> b))
-> FingerTree (Node (Elem b))
forall a b. Int -> (a -> b) -> FingerTree a -> FingerTree b
mapMulFT 3 (\(Elem f :: a -> b
f) -> Int -> Elem b -> Elem b -> Elem b -> Node (Elem b)
forall a. Int -> a -> a -> a -> Node a
Node3 3 (b -> Elem b
forall a. a -> Elem a
Elem (a -> b
f a
x)) (b -> Elem b
forall a. a -> Elem a
Elem (a -> b
f a
y)) (b -> Elem b
forall a. a -> Elem a
Elem (a -> b
f a
z))) FingerTree (Elem (a -> b))
fs)
                        (Elem b -> Elem b -> Elem b -> Digit (Elem b)
forall a. a -> a -> a -> Digit a
Three (b -> Elem b
forall a. a -> Elem a
Elem (b -> Elem b) -> b -> Elem b
forall a b. (a -> b) -> a -> b
$ a -> b
lastf a
x) (b -> Elem b
forall a. a -> Elem a
Elem (b -> Elem b) -> b -> Elem b
forall a b. (a -> b) -> a -> b
$ a -> b
lastf a
y) (b -> Elem b
forall a. a -> Elem a
Elem (b -> Elem b) -> b -> Elem b
forall a b. (a -> b) -> a -> b
$ a -> b
lastf a
z))

lift2FT :: (a -> b -> c) -> a -> FingerTree (Elem a) -> a -> (b,b) -> FingerTree (Elem c)
lift2FT :: (a -> b -> c)
-> a -> FingerTree (Elem a) -> a -> (b, b) -> FingerTree (Elem c)
lift2FT f :: a -> b -> c
f firstx :: a
firstx xs :: FingerTree (Elem a)
xs lastx :: a
lastx (y1 :: b
y1,y2 :: b
y2) =
                 Int
-> Digit (Elem c)
-> FingerTree (Node (Elem c))
-> Digit (Elem c)
-> FingerTree (Elem c)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (FingerTree (Elem a) -> Int
forall a. Sized a => a -> Int
size FingerTree (Elem a)
xs Int -> Int -> Int
forall a. Num a => a -> a -> a
* 2 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 4)
                      (Elem c -> Elem c -> Digit (Elem c)
forall a. a -> a -> Digit a
Two (c -> Elem c
forall a. a -> Elem a
Elem (c -> Elem c) -> c -> Elem c
forall a b. (a -> b) -> a -> b
$ a -> b -> c
f a
firstx b
y1) (c -> Elem c
forall a. a -> Elem a
Elem (c -> Elem c) -> c -> Elem c
forall a b. (a -> b) -> a -> b
$ a -> b -> c
f a
firstx b
y2))
                      (Int
-> (Elem a -> Node (Elem c))
-> FingerTree (Elem a)
-> FingerTree (Node (Elem c))
forall a b. Int -> (a -> b) -> FingerTree a -> FingerTree b
mapMulFT 2 (\(Elem x :: a
x) -> Int -> Elem c -> Elem c -> Node (Elem c)
forall a. Int -> a -> a -> Node a
Node2 2 (c -> Elem c
forall a. a -> Elem a
Elem (a -> b -> c
f a
x b
y1)) (c -> Elem c
forall a. a -> Elem a
Elem (a -> b -> c
f a
x b
y2))) FingerTree (Elem a)
xs)
                      (Elem c -> Elem c -> Digit (Elem c)
forall a. a -> a -> Digit a
Two (c -> Elem c
forall a. a -> Elem a
Elem (c -> Elem c) -> c -> Elem c
forall a b. (a -> b) -> a -> b
$ a -> b -> c
f a
lastx b
y1) (c -> Elem c
forall a. a -> Elem a
Elem (c -> Elem c) -> c -> Elem c
forall a b. (a -> b) -> a -> b
$ a -> b -> c
f a
lastx b
y2))

lift3FT :: (a -> b -> c) -> a -> FingerTree (Elem a) -> a -> (b,b,b) -> FingerTree (Elem c)
lift3FT :: (a -> b -> c)
-> a
-> FingerTree (Elem a)
-> a
-> (b, b, b)
-> FingerTree (Elem c)
lift3FT f :: a -> b -> c
f firstx :: a
firstx xs :: FingerTree (Elem a)
xs lastx :: a
lastx (y1 :: b
y1,y2 :: b
y2,y3 :: b
y3) =
                 Int
-> Digit (Elem c)
-> FingerTree (Node (Elem c))
-> Digit (Elem c)
-> FingerTree (Elem c)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (FingerTree (Elem a) -> Int
forall a. Sized a => a -> Int
size FingerTree (Elem a)
xs Int -> Int -> Int
forall a. Num a => a -> a -> a
* 3 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 6)
                      (Elem c -> Elem c -> Elem c -> Digit (Elem c)
forall a. a -> a -> a -> Digit a
Three (c -> Elem c
forall a. a -> Elem a
Elem (c -> Elem c) -> c -> Elem c
forall a b. (a -> b) -> a -> b
$ a -> b -> c
f a
firstx b
y1) (c -> Elem c
forall a. a -> Elem a
Elem (c -> Elem c) -> c -> Elem c
forall a b. (a -> b) -> a -> b
$ a -> b -> c
f a
firstx b
y2) (c -> Elem c
forall a. a -> Elem a
Elem (c -> Elem c) -> c -> Elem c
forall a b. (a -> b) -> a -> b
$ a -> b -> c
f a
firstx b
y3))
                      (Int
-> (Elem a -> Node (Elem c))
-> FingerTree (Elem a)
-> FingerTree (Node (Elem c))
forall a b. Int -> (a -> b) -> FingerTree a -> FingerTree b
mapMulFT 3 (\(Elem x :: a
x) -> Int -> Elem c -> Elem c -> Elem c -> Node (Elem c)
forall a. Int -> a -> a -> a -> Node a
Node3 3 (c -> Elem c
forall a. a -> Elem a
Elem (a -> b -> c
f a
x b
y1)) (c -> Elem c
forall a. a -> Elem a
Elem (a -> b -> c
f a
x b
y2)) (c -> Elem c
forall a. a -> Elem a
Elem (a -> b -> c
f a
x b
y3))) FingerTree (Elem a)
xs)
                      (Elem c -> Elem c -> Elem c -> Digit (Elem c)
forall a. a -> a -> a -> Digit a
Three (c -> Elem c
forall a. a -> Elem a
Elem (c -> Elem c) -> c -> Elem c
forall a b. (a -> b) -> a -> b
$ a -> b -> c
f a
lastx b
y1) (c -> Elem c
forall a. a -> Elem a
Elem (c -> Elem c) -> c -> Elem c
forall a b. (a -> b) -> a -> b
$ a -> b -> c
f a
lastx b
y2) (c -> Elem c
forall a. a -> Elem a
Elem (c -> Elem c) -> c -> Elem c
forall a b. (a -> b) -> a -> b
$ a -> b -> c
f a
lastx b
y3))

liftA2Seq :: (a -> b -> c) -> Seq a -> Seq b -> Seq c
liftA2Seq :: (a -> b -> c) -> Seq a -> Seq b -> Seq c
liftA2Seq f :: a -> b -> c
f xs :: Seq a
xs ys :: Seq b
ys@(Seq ysFT :: FingerTree (Elem b)
ysFT) = case Seq a -> ViewL a
forall a. Seq a -> ViewL a
viewl Seq a
xs of
  EmptyL -> Seq c
forall a. Seq a
empty
  firstx :: a
firstx :< xs' :: Seq a
xs' -> case Seq a -> ViewR a
forall a. Seq a -> ViewR a
viewr Seq a
xs' of
    EmptyR -> a -> b -> c
f a
firstx (b -> c) -> Seq b -> Seq c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Seq b
ys
    Seq xs''FT :: FingerTree (Elem a)
xs''FT :> lastx :: a
lastx -> case FingerTree (Elem b) -> Rigidified (Elem b)
forall a. FingerTree (Elem a) -> Rigidified (Elem a)
rigidify FingerTree (Elem b)
ysFT of
      RigidEmpty -> Seq c
forall a. Seq a
empty
      RigidOne (Elem y :: b
y) -> (a -> c) -> Seq a -> Seq c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (\x :: a
x -> a -> b -> c
f a
x b
y) Seq a
xs
      RigidTwo (Elem y1 :: b
y1) (Elem y2 :: b
y2) ->
        FingerTree (Elem c) -> Seq c
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem c) -> Seq c) -> FingerTree (Elem c) -> Seq c
forall a b. (a -> b) -> a -> b
$ (a -> b -> c)
-> a -> FingerTree (Elem a) -> a -> (b, b) -> FingerTree (Elem c)
forall a b c.
(a -> b -> c)
-> a -> FingerTree (Elem a) -> a -> (b, b) -> FingerTree (Elem c)
lift2FT a -> b -> c
f a
firstx FingerTree (Elem a)
xs''FT a
lastx (b
y1, b
y2)
      RigidThree (Elem y1 :: b
y1) (Elem y2 :: b
y2) (Elem y3 :: b
y3) ->
        FingerTree (Elem c) -> Seq c
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem c) -> Seq c) -> FingerTree (Elem c) -> Seq c
forall a b. (a -> b) -> a -> b
$ (a -> b -> c)
-> a
-> FingerTree (Elem a)
-> a
-> (b, b, b)
-> FingerTree (Elem c)
forall a b c.
(a -> b -> c)
-> a
-> FingerTree (Elem a)
-> a
-> (b, b, b)
-> FingerTree (Elem c)
lift3FT a -> b -> c
f a
firstx FingerTree (Elem a)
xs''FT a
lastx (b
y1, b
y2, b
y3)
      RigidFull r :: Rigid (Elem b)
r@(Rigid s :: Int
s pr :: Digit23 (Elem b)
pr _m :: Thin (Digit23 (Elem b))
_m sf :: Digit23 (Elem b)
sf) -> FingerTree (Elem c) -> Seq c
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem c) -> Seq c) -> FingerTree (Elem c) -> Seq c
forall a b. (a -> b) -> a -> b
$
        Int
-> Digit (Elem c)
-> FingerTree (Node (Elem c))
-> Digit (Elem c)
-> FingerTree (Elem c)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
* Seq a -> Int
forall a. Seq a -> Int
length Seq a
xs)
             ((Elem b -> Elem c) -> Digit (Elem b) -> Digit (Elem c)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap ((b -> c) -> Elem b -> Elem c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c
f a
firstx)) (Digit23 (Elem b) -> Digit (Elem b)
forall a. Node a -> Digit a
nodeToDigit Digit23 (Elem b)
pr))
             ((Elem b -> Elem c)
-> (Elem b -> Elem c)
-> (a -> Elem b -> Elem c)
-> FingerTree (Elem a)
-> Rigid (Elem b)
-> FingerTree (Node (Elem c))
forall b c a.
(b -> c)
-> (b -> c)
-> (a -> b -> c)
-> FingerTree (Elem a)
-> Rigid b
-> FingerTree (Node c)
aptyMiddle ((b -> c) -> Elem b -> Elem c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c
f a
firstx)) ((b -> c) -> Elem b -> Elem c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c
f a
lastx)) ((a -> b -> c) -> a -> Elem b -> Elem c
forall a b c. (a -> b -> c) -> a -> Elem b -> Elem c
lift_elem a -> b -> c
f) FingerTree (Elem a)
xs''FT Rigid (Elem b)
r)
             ((Elem b -> Elem c) -> Digit (Elem b) -> Digit (Elem c)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap ((b -> c) -> Elem b -> Elem c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c
f a
lastx)) (Digit23 (Elem b) -> Digit (Elem b)
forall a. Node a -> Digit a
nodeToDigit Digit23 (Elem b)
sf))
  where
    lift_elem :: (a -> b -> c) -> a -> Elem b -> Elem c
#if __GLASGOW_HASKELL__ >= 708
    lift_elem :: (a -> b -> c) -> a -> Elem b -> Elem c
lift_elem = (a -> b -> c) -> a -> Elem b -> Elem c
forall a b. Coercible a b => a -> b
coerce
#else
    lift_elem f x (Elem y) = Elem (f x y)
#endif
{-# NOINLINE [1] liftA2Seq #-}


data Rigidified a = RigidEmpty
                  | RigidOne a
                  | RigidTwo a a
                  | RigidThree a a a
                  | RigidFull (Rigid a)
#ifdef TESTING
                  deriving Show
#endif

-- | A finger tree whose top level has only Two and/or Three digits, and whose
-- other levels have only One and Two digits. A Rigid tree is precisely what one
-- gets by unzipping/inverting a 2-3 tree, so it is precisely what we need to
-- turn a finger tree into in order to transform it into a 2-3 tree.
data Rigid a = Rigid {-# UNPACK #-} !Int !(Digit23 a) (Thin (Node a)) !(Digit23 a)
#ifdef TESTING
             deriving Show
#endif

-- | A finger tree whose digits are all ones and twos
data Thin a = EmptyTh
            | SingleTh a
            | DeepTh {-# UNPACK #-} !Int !(Digit12 a) (Thin (Node a)) !(Digit12 a)
#ifdef TESTING
            deriving Show
#endif

data Digit12 a = One12 a | Two12 a a
#ifdef TESTING
        deriving Show
#endif

-- | Sometimes, we want to emphasize that we are viewing a node as a top-level
-- digit of a 'Rigid' tree.
type Digit23 a = Node a

-- | 'aptyMiddle' does most of the hard work of computing @fs<*>xs@.  It
-- produces the center part of a finger tree, with a prefix corresponding to
-- the prefix of @xs@ and a suffix corresponding to the suffix of @xs@ omitted;
-- the missing suffix and prefix are added by the caller.  For the recursive
-- call, it squashes the prefix and the suffix into the center tree. Once it
-- gets to the bottom, it turns the tree into a 2-3 tree, applies 'mapMulFT' to
-- produce the main body, and glues all the pieces together.
--
-- @map23@ itself is a bit horrifying because of the nested types involved. Its
-- job is to map over the *elements* of a 2-3 tree, rather than the subtrees.
-- If we used a higher-order nested type with MPTC, we could probably use a
-- class, but as it is we have to build up @map23@ explicitly through the
-- recursion.
aptyMiddle
  :: (b -> c)
     -> (b -> c)
     -> (a -> b -> c)
     -> FingerTree (Elem a)
     -> Rigid b
     -> FingerTree (Node c)

-- Not at the bottom yet

aptyMiddle :: (b -> c)
-> (b -> c)
-> (a -> b -> c)
-> FingerTree (Elem a)
-> Rigid b
-> FingerTree (Node c)
aptyMiddle firstf :: b -> c
firstf
           lastf :: b -> c
lastf
           map23 :: a -> b -> c
map23
           fs :: FingerTree (Elem a)
fs
           (Rigid s :: Int
s pr :: Digit23 b
pr (DeepTh sm :: Int
sm prm :: Digit12 (Digit23 b)
prm mm :: Thin (Node (Digit23 b))
mm sfm :: Digit12 (Digit23 b)
sfm) sf :: Digit23 b
sf)
    = Int
-> Digit (Node c)
-> FingerTree (Node (Node c))
-> Digit (Node c)
-> FingerTree (Node c)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
sm Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
* (FingerTree (Elem a) -> Int
forall a. Sized a => a -> Int
size FingerTree (Elem a)
fs Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1)) -- note: sm = s - size pr - size sf
           ((Digit23 b -> Node c) -> Digit (Digit23 b) -> Digit (Node c)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap ((b -> c) -> Digit23 b -> Node c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap b -> c
firstf) (Digit12 (Digit23 b) -> Digit (Digit23 b)
forall a. Digit12 a -> Digit a
digit12ToDigit Digit12 (Digit23 b)
prm))
           ((Digit23 b -> Node c)
-> (Digit23 b -> Node c)
-> (a -> Digit23 b -> Node c)
-> FingerTree (Elem a)
-> Rigid (Digit23 b)
-> FingerTree (Node (Node c))
forall b c a.
(b -> c)
-> (b -> c)
-> (a -> b -> c)
-> FingerTree (Elem a)
-> Rigid b
-> FingerTree (Node c)
aptyMiddle ((b -> c) -> Digit23 b -> Node c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap b -> c
firstf)
                       ((b -> c) -> Digit23 b -> Node c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap b -> c
lastf)
                       ((b -> c) -> Digit23 b -> Node c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap ((b -> c) -> Digit23 b -> Node c)
-> (a -> b -> c) -> a -> Digit23 b -> Node c
forall b c a. (b -> c) -> (a -> b) -> a -> c
. a -> b -> c
map23)
                       FingerTree (Elem a)
fs
                       (Int
-> Node (Digit23 b)
-> Thin (Node (Digit23 b))
-> Node (Digit23 b)
-> Rigid (Digit23 b)
forall a.
Int -> Digit23 a -> Thin (Digit23 a) -> Digit23 a -> Rigid a
Rigid Int
s (Digit23 b -> Digit12 (Digit23 b) -> Node (Digit23 b)
forall a. Digit23 a -> Digit12 (Digit23 a) -> Digit23 (Digit23 a)
squashL Digit23 b
pr Digit12 (Digit23 b)
prm) Thin (Node (Digit23 b))
mm (Digit12 (Digit23 b) -> Digit23 b -> Node (Digit23 b)
forall a. Digit12 (Node a) -> Node a -> Digit23 (Node a)
squashR Digit12 (Digit23 b)
sfm Digit23 b
sf)))
           ((Digit23 b -> Node c) -> Digit (Digit23 b) -> Digit (Node c)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap ((b -> c) -> Digit23 b -> Node c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap b -> c
lastf) (Digit12 (Digit23 b) -> Digit (Digit23 b)
forall a. Digit12 a -> Digit a
digit12ToDigit Digit12 (Digit23 b)
sfm))

-- At the bottom

aptyMiddle firstf :: b -> c
firstf
           lastf :: b -> c
lastf
           map23 :: a -> b -> c
map23
           fs :: FingerTree (Elem a)
fs
           (Rigid s :: Int
s pr :: Digit23 b
pr EmptyTh sf :: Digit23 b
sf)
     = Digit (Node c)
-> FingerTree (Node (Node c))
-> Digit (Node c)
-> FingerTree (Node c)
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep
            (Node c -> Digit (Node c)
forall a. a -> Digit a
One ((b -> c) -> Digit23 b -> Node c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap b -> c
firstf Digit23 b
sf))
            (Int
-> (Elem a -> Node (Node c))
-> FingerTree (Elem a)
-> FingerTree (Node (Node c))
forall a b. Int -> (a -> b) -> FingerTree a -> FingerTree b
mapMulFT Int
s (\(Elem f :: a
f) -> (Digit23 b -> Node c) -> Node (Digit23 b) -> Node (Node c)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap ((b -> c) -> Digit23 b -> Node c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c
map23 a
f)) Node (Digit23 b)
converted) FingerTree (Elem a)
fs)
            (Node c -> Digit (Node c)
forall a. a -> Digit a
One ((b -> c) -> Digit23 b -> Node c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap b -> c
lastf Digit23 b
pr))
   where converted :: Node (Digit23 b)
converted = Digit23 b -> Digit23 b -> Node (Digit23 b)
forall a. Sized a => a -> a -> Node a
node2 Digit23 b
pr Digit23 b
sf

aptyMiddle firstf :: b -> c
firstf
           lastf :: b -> c
lastf
           map23 :: a -> b -> c
map23
           fs :: FingerTree (Elem a)
fs
           (Rigid s :: Int
s pr :: Digit23 b
pr (SingleTh q :: Digit23 b
q) sf :: Digit23 b
sf)
     = Digit (Node c)
-> FingerTree (Node (Node c))
-> Digit (Node c)
-> FingerTree (Node c)
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep
            (Node c -> Node c -> Digit (Node c)
forall a. a -> a -> Digit a
Two ((b -> c) -> Digit23 b -> Node c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap b -> c
firstf Digit23 b
q) ((b -> c) -> Digit23 b -> Node c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap b -> c
firstf Digit23 b
sf))
            (Int
-> (Elem a -> Node (Node c))
-> FingerTree (Elem a)
-> FingerTree (Node (Node c))
forall a b. Int -> (a -> b) -> FingerTree a -> FingerTree b
mapMulFT Int
s (\(Elem f :: a
f) -> (Digit23 b -> Node c) -> Node (Digit23 b) -> Node (Node c)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap ((b -> c) -> Digit23 b -> Node c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (a -> b -> c
map23 a
f)) Node (Digit23 b)
converted) FingerTree (Elem a)
fs)
            (Node c -> Node c -> Digit (Node c)
forall a. a -> a -> Digit a
Two ((b -> c) -> Digit23 b -> Node c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap b -> c
lastf Digit23 b
pr) ((b -> c) -> Digit23 b -> Node c
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap b -> c
lastf Digit23 b
q))
   where converted :: Node (Digit23 b)
converted = Digit23 b -> Digit23 b -> Digit23 b -> Node (Digit23 b)
forall a. Sized a => a -> a -> a -> Node a
node3 Digit23 b
pr Digit23 b
q Digit23 b
sf

digit12ToDigit :: Digit12 a -> Digit a
digit12ToDigit :: Digit12 a -> Digit a
digit12ToDigit (One12 a :: a
a) = a -> Digit a
forall a. a -> Digit a
One a
a
digit12ToDigit (Two12 a :: a
a b :: a
b) = a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b

-- Squash the first argument down onto the left side of the second.
squashL :: Digit23 a -> Digit12 (Node a) -> Digit23 (Node a)
squashL :: Digit23 a -> Digit12 (Digit23 a) -> Digit23 (Digit23 a)
squashL m :: Digit23 a
m (One12 n :: Digit23 a
n) = Digit23 a -> Digit23 a -> Digit23 (Digit23 a)
forall a. Sized a => a -> a -> Node a
node2 Digit23 a
m Digit23 a
n
squashL m :: Digit23 a
m (Two12 n1 :: Digit23 a
n1 n2 :: Digit23 a
n2) = Digit23 a -> Digit23 a -> Digit23 a -> Digit23 (Digit23 a)
forall a. Sized a => a -> a -> a -> Node a
node3 Digit23 a
m Digit23 a
n1 Digit23 a
n2

-- Squash the second argument down onto the right side of the first
squashR :: Digit12 (Node a) -> Digit23 a -> Digit23 (Node a)
squashR :: Digit12 (Node a) -> Node a -> Digit23 (Node a)
squashR (One12 n :: Node a
n) m :: Node a
m = Node a -> Node a -> Digit23 (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
n Node a
m
squashR (Two12 n1 :: Node a
n1 n2 :: Node a
n2) m :: Node a
m = Node a -> Node a -> Node a -> Digit23 (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
n1 Node a
n2 Node a
m


-- | /O(m*n)/ (incremental) Takes an /O(m)/ function and a finger tree of size
-- /n/ and maps the function over the tree leaves. Unlike the usual 'fmap', the
-- function is applied to the "leaves" of the 'FingerTree' (i.e., given a
-- @FingerTree (Elem a)@, it applies the function to elements of type @Elem
-- a@), replacing the leaves with subtrees of at least the same height, e.g.,
-- @Node(Node(Elem y))@. The multiplier argument serves to make the annotations
-- match up properly.
mapMulFT :: Int -> (a -> b) -> FingerTree a -> FingerTree b
mapMulFT :: Int -> (a -> b) -> FingerTree a -> FingerTree b
mapMulFT _ _ EmptyT = FingerTree b
forall a. FingerTree a
EmptyT
mapMulFT _mul :: Int
_mul f :: a -> b
f (Single a :: a
a) = b -> FingerTree b
forall a. a -> FingerTree a
Single (a -> b
f a
a)
mapMulFT mul :: Int
mul f :: a -> b
f (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m sf :: Digit a
sf) = Int -> Digit b -> FingerTree (Node b) -> Digit b -> FingerTree b
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
mul Int -> Int -> Int
forall a. Num a => a -> a -> a
* Int
s) ((a -> b) -> Digit a -> Digit b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> b
f Digit a
pr) (Int
-> (Node a -> Node b) -> FingerTree (Node a) -> FingerTree (Node b)
forall a b. Int -> (a -> b) -> FingerTree a -> FingerTree b
mapMulFT Int
mul (Int -> (a -> b) -> Node a -> Node b
forall a b. Int -> (a -> b) -> Node a -> Node b
mapMulNode Int
mul a -> b
f) FingerTree (Node a)
m) ((a -> b) -> Digit a -> Digit b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> b
f Digit a
sf)

mapMulNode :: Int -> (a -> b) -> Node a -> Node b
mapMulNode :: Int -> (a -> b) -> Node a -> Node b
mapMulNode mul :: Int
mul f :: a -> b
f (Node2 s :: Int
s a :: a
a b :: a
b)   = Int -> b -> b -> Node b
forall a. Int -> a -> a -> Node a
Node2 (Int
mul Int -> Int -> Int
forall a. Num a => a -> a -> a
* Int
s) (a -> b
f a
a) (a -> b
f a
b)
mapMulNode mul :: Int
mul f :: a -> b
f (Node3 s :: Int
s a :: a
a b :: a
b c :: a
c) = Int -> b -> b -> b -> Node b
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
mul Int -> Int -> Int
forall a. Num a => a -> a -> a
* Int
s) (a -> b
f a
a) (a -> b
f a
b) (a -> b
f a
c)

-- | /O(log n)/ (incremental) Takes the extra flexibility out of a 'FingerTree'
-- to make it a genuine 2-3 finger tree. The result of 'rigidify' will have
-- only two and three digits at the top level and only one and two
-- digits elsewhere. If the tree has fewer than four elements, 'rigidify'
-- will simply extract them, and will not build a tree.
rigidify :: FingerTree (Elem a) -> Rigidified (Elem a)
-- The patterns below just fix up the top level of the tree; 'rigidify'
-- delegates the hard work to 'thin'.

rigidify :: FingerTree (Elem a) -> Rigidified (Elem a)
rigidify EmptyT = Rigidified (Elem a)
forall a. Rigidified a
RigidEmpty

rigidify (Single q :: Elem a
q) = Elem a -> Rigidified (Elem a)
forall a. a -> Rigidified a
RigidOne Elem a
q

-- The left digit is Two or Three
rigidify (Deep s :: Int
s (Two a :: Elem a
a b :: Elem a
b) m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf) = Int
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> Rigidified (Elem a)
forall a.
Int
-> Digit23 (Elem a)
-> FingerTree (Digit23 (Elem a))
-> Digit (Elem a)
-> Rigidified (Elem a)
rigidifyRight Int
s (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
a Elem a
b) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
rigidify (Deep s :: Int
s (Three a :: Elem a
a b :: Elem a
b c :: Elem a
c) m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf) = Int
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> Rigidified (Elem a)
forall a.
Int
-> Digit23 (Elem a)
-> FingerTree (Digit23 (Elem a))
-> Digit (Elem a)
-> Rigidified (Elem a)
rigidifyRight Int
s (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
c) FingerTree (Node (Elem a))
m Digit (Elem a)
sf

-- The left digit is Four
rigidify (Deep s :: Int
s (Four a :: Elem a
a b :: Elem a
b c :: Elem a
c d :: Elem a
d) m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf) = Int
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> Rigidified (Elem a)
forall a.
Int
-> Digit23 (Elem a)
-> FingerTree (Digit23 (Elem a))
-> Digit (Elem a)
-> Rigidified (Elem a)
rigidifyRight Int
s (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
a Elem a
b) (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
c Elem a
d Node (Elem a)
-> FingerTree (Node (Elem a)) -> FingerTree (Node (Elem a))
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` FingerTree (Node (Elem a))
m) Digit (Elem a)
sf

-- The left digit is One
rigidify (Deep s :: Int
s (One a :: Elem a
a) m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf) = case FingerTree (Node (Elem a)) -> ViewLTree (Node (Elem a))
forall a. Sized a => FingerTree a -> ViewLTree a
viewLTree FingerTree (Node (Elem a))
m of
   ConsLTree (Node2 _ b :: Elem a
b c :: Elem a
c) m' :: FingerTree (Node (Elem a))
m' -> Int
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> Rigidified (Elem a)
forall a.
Int
-> Digit23 (Elem a)
-> FingerTree (Digit23 (Elem a))
-> Digit (Elem a)
-> Rigidified (Elem a)
rigidifyRight Int
s (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
c) FingerTree (Node (Elem a))
m' Digit (Elem a)
sf
   ConsLTree (Node3 _ b :: Elem a
b c :: Elem a
c d :: Elem a
d) m' :: FingerTree (Node (Elem a))
m' -> Int
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> Rigidified (Elem a)
forall a.
Int
-> Digit23 (Elem a)
-> FingerTree (Digit23 (Elem a))
-> Digit (Elem a)
-> Rigidified (Elem a)
rigidifyRight Int
s (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
a Elem a
b) (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
c Elem a
d Node (Elem a)
-> FingerTree (Node (Elem a)) -> FingerTree (Node (Elem a))
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` FingerTree (Node (Elem a))
m') Digit (Elem a)
sf
   EmptyLTree -> case Digit (Elem a)
sf of
     One b :: Elem a
b -> Elem a -> Elem a -> Rigidified (Elem a)
forall a. a -> a -> Rigidified a
RigidTwo Elem a
a Elem a
b
     Two b :: Elem a
b c :: Elem a
c -> Elem a -> Elem a -> Elem a -> Rigidified (Elem a)
forall a. a -> a -> a -> Rigidified a
RigidThree Elem a
a Elem a
b Elem a
c
     Three b :: Elem a
b c :: Elem a
c d :: Elem a
d -> Rigid (Elem a) -> Rigidified (Elem a)
forall a. Rigid a -> Rigidified a
RigidFull (Rigid (Elem a) -> Rigidified (Elem a))
-> Rigid (Elem a) -> Rigidified (Elem a)
forall a b. (a -> b) -> a -> b
$ Int
-> Node (Elem a)
-> Thin (Node (Elem a))
-> Node (Elem a)
-> Rigid (Elem a)
forall a.
Int -> Digit23 a -> Thin (Digit23 a) -> Digit23 a -> Rigid a
Rigid Int
s (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
a Elem a
b) Thin (Node (Elem a))
forall a. Thin a
EmptyTh (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
c Elem a
d)
     Four b :: Elem a
b c :: Elem a
c d :: Elem a
d e :: Elem a
e -> Rigid (Elem a) -> Rigidified (Elem a)
forall a. Rigid a -> Rigidified a
RigidFull (Rigid (Elem a) -> Rigidified (Elem a))
-> Rigid (Elem a) -> Rigidified (Elem a)
forall a b. (a -> b) -> a -> b
$ Int
-> Node (Elem a)
-> Thin (Node (Elem a))
-> Node (Elem a)
-> Rigid (Elem a)
forall a.
Int -> Digit23 a -> Thin (Digit23 a) -> Digit23 a -> Rigid a
Rigid Int
s (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
c) Thin (Node (Elem a))
forall a. Thin a
EmptyTh (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
d Elem a
e)

-- | /O(log n)/ (incremental) Takes a tree whose left side has been rigidified
-- and finishes the job.
rigidifyRight :: Int -> Digit23 (Elem a) -> FingerTree (Node (Elem a)) -> Digit (Elem a) -> Rigidified (Elem a)

-- The right digit is Two, Three, or Four
rigidifyRight :: Int
-> Digit23 (Elem a)
-> FingerTree (Digit23 (Elem a))
-> Digit (Elem a)
-> Rigidified (Elem a)
rigidifyRight s :: Int
s pr :: Digit23 (Elem a)
pr m :: FingerTree (Digit23 (Elem a))
m (Two a :: Elem a
a b :: Elem a
b) = Rigid (Elem a) -> Rigidified (Elem a)
forall a. Rigid a -> Rigidified a
RigidFull (Rigid (Elem a) -> Rigidified (Elem a))
-> Rigid (Elem a) -> Rigidified (Elem a)
forall a b. (a -> b) -> a -> b
$ Int
-> Digit23 (Elem a)
-> Thin (Digit23 (Elem a))
-> Digit23 (Elem a)
-> Rigid (Elem a)
forall a.
Int -> Digit23 a -> Thin (Digit23 a) -> Digit23 a -> Rigid a
Rigid Int
s Digit23 (Elem a)
pr (FingerTree (Digit23 (Elem a)) -> Thin (Digit23 (Elem a))
forall a. Sized a => FingerTree a -> Thin a
thin FingerTree (Digit23 (Elem a))
m) (Elem a -> Elem a -> Digit23 (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
a Elem a
b)
rigidifyRight s :: Int
s pr :: Digit23 (Elem a)
pr m :: FingerTree (Digit23 (Elem a))
m (Three a :: Elem a
a b :: Elem a
b c :: Elem a
c) = Rigid (Elem a) -> Rigidified (Elem a)
forall a. Rigid a -> Rigidified a
RigidFull (Rigid (Elem a) -> Rigidified (Elem a))
-> Rigid (Elem a) -> Rigidified (Elem a)
forall a b. (a -> b) -> a -> b
$ Int
-> Digit23 (Elem a)
-> Thin (Digit23 (Elem a))
-> Digit23 (Elem a)
-> Rigid (Elem a)
forall a.
Int -> Digit23 a -> Thin (Digit23 a) -> Digit23 a -> Rigid a
Rigid Int
s Digit23 (Elem a)
pr (FingerTree (Digit23 (Elem a)) -> Thin (Digit23 (Elem a))
forall a. Sized a => FingerTree a -> Thin a
thin FingerTree (Digit23 (Elem a))
m) (Elem a -> Elem a -> Elem a -> Digit23 (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
c)
rigidifyRight s :: Int
s pr :: Digit23 (Elem a)
pr m :: FingerTree (Digit23 (Elem a))
m (Four a :: Elem a
a b :: Elem a
b c :: Elem a
c d :: Elem a
d) = Rigid (Elem a) -> Rigidified (Elem a)
forall a. Rigid a -> Rigidified a
RigidFull (Rigid (Elem a) -> Rigidified (Elem a))
-> Rigid (Elem a) -> Rigidified (Elem a)
forall a b. (a -> b) -> a -> b
$ Int
-> Digit23 (Elem a)
-> Thin (Digit23 (Elem a))
-> Digit23 (Elem a)
-> Rigid (Elem a)
forall a.
Int -> Digit23 a -> Thin (Digit23 a) -> Digit23 a -> Rigid a
Rigid Int
s Digit23 (Elem a)
pr (FingerTree (Digit23 (Elem a)) -> Thin (Digit23 (Elem a))
forall a. Sized a => FingerTree a -> Thin a
thin (FingerTree (Digit23 (Elem a)) -> Thin (Digit23 (Elem a)))
-> FingerTree (Digit23 (Elem a)) -> Thin (Digit23 (Elem a))
forall a b. (a -> b) -> a -> b
$ FingerTree (Digit23 (Elem a))
m FingerTree (Digit23 (Elem a))
-> Digit23 (Elem a) -> FingerTree (Digit23 (Elem a))
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Elem a -> Elem a -> Digit23 (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
a Elem a
b) (Elem a -> Elem a -> Digit23 (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
c Elem a
d)

-- The right digit is One
rigidifyRight s :: Int
s pr :: Digit23 (Elem a)
pr m :: FingerTree (Digit23 (Elem a))
m (One e :: Elem a
e) = case FingerTree (Digit23 (Elem a)) -> ViewRTree (Digit23 (Elem a))
forall a. Sized a => FingerTree a -> ViewRTree a
viewRTree FingerTree (Digit23 (Elem a))
m of
    SnocRTree m' :: FingerTree (Digit23 (Elem a))
m' (Node2 _ a :: Elem a
a b :: Elem a
b) -> Rigid (Elem a) -> Rigidified (Elem a)
forall a. Rigid a -> Rigidified a
RigidFull (Rigid (Elem a) -> Rigidified (Elem a))
-> Rigid (Elem a) -> Rigidified (Elem a)
forall a b. (a -> b) -> a -> b
$ Int
-> Digit23 (Elem a)
-> Thin (Digit23 (Elem a))
-> Digit23 (Elem a)
-> Rigid (Elem a)
forall a.
Int -> Digit23 a -> Thin (Digit23 a) -> Digit23 a -> Rigid a
Rigid Int
s Digit23 (Elem a)
pr (FingerTree (Digit23 (Elem a)) -> Thin (Digit23 (Elem a))
forall a. Sized a => FingerTree a -> Thin a
thin FingerTree (Digit23 (Elem a))
m') (Elem a -> Elem a -> Elem a -> Digit23 (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
e)
    SnocRTree m' :: FingerTree (Digit23 (Elem a))
m' (Node3 _ a :: Elem a
a b :: Elem a
b c :: Elem a
c) -> Rigid (Elem a) -> Rigidified (Elem a)
forall a. Rigid a -> Rigidified a
RigidFull (Rigid (Elem a) -> Rigidified (Elem a))
-> Rigid (Elem a) -> Rigidified (Elem a)
forall a b. (a -> b) -> a -> b
$ Int
-> Digit23 (Elem a)
-> Thin (Digit23 (Elem a))
-> Digit23 (Elem a)
-> Rigid (Elem a)
forall a.
Int -> Digit23 a -> Thin (Digit23 a) -> Digit23 a -> Rigid a
Rigid Int
s Digit23 (Elem a)
pr (FingerTree (Digit23 (Elem a)) -> Thin (Digit23 (Elem a))
forall a. Sized a => FingerTree a -> Thin a
thin (FingerTree (Digit23 (Elem a)) -> Thin (Digit23 (Elem a)))
-> FingerTree (Digit23 (Elem a)) -> Thin (Digit23 (Elem a))
forall a b. (a -> b) -> a -> b
$ FingerTree (Digit23 (Elem a))
m' FingerTree (Digit23 (Elem a))
-> Digit23 (Elem a) -> FingerTree (Digit23 (Elem a))
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Elem a -> Elem a -> Digit23 (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
a Elem a
b) (Elem a -> Elem a -> Digit23 (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
c Elem a
e)
    EmptyRTree -> case Digit23 (Elem a)
pr of
      Node2 _ a :: Elem a
a b :: Elem a
b -> Elem a -> Elem a -> Elem a -> Rigidified (Elem a)
forall a. a -> a -> a -> Rigidified a
RigidThree Elem a
a Elem a
b Elem a
e
      Node3 _ a :: Elem a
a b :: Elem a
b c :: Elem a
c -> Rigid (Elem a) -> Rigidified (Elem a)
forall a. Rigid a -> Rigidified a
RigidFull (Rigid (Elem a) -> Rigidified (Elem a))
-> Rigid (Elem a) -> Rigidified (Elem a)
forall a b. (a -> b) -> a -> b
$ Int
-> Digit23 (Elem a)
-> Thin (Digit23 (Elem a))
-> Digit23 (Elem a)
-> Rigid (Elem a)
forall a.
Int -> Digit23 a -> Thin (Digit23 a) -> Digit23 a -> Rigid a
Rigid Int
s (Elem a -> Elem a -> Digit23 (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
a Elem a
b) Thin (Digit23 (Elem a))
forall a. Thin a
EmptyTh (Elem a -> Elem a -> Digit23 (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
c Elem a
e)

-- | /O(log n)/ (incremental) Rejigger a finger tree so the digits are all ones
-- and twos.
thin :: Sized a => FingerTree a -> Thin a
-- Note that 'thin12' will produce a 'DeepTh' constructor immediately before
-- recursively calling 'thin'.
thin :: FingerTree a -> Thin a
thin EmptyT = Thin a
forall a. Thin a
EmptyTh
thin (Single a :: a
a) = a -> Thin a
forall a. a -> Thin a
SingleTh a
a
thin (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m sf :: Digit a
sf) =
  case Digit a
pr of
    One a :: a
a -> Int -> Digit12 a -> FingerTree (Node a) -> Digit a -> Thin a
forall a.
Sized a =>
Int -> Digit12 a -> FingerTree (Node a) -> Digit a -> Thin a
thin12 Int
s (a -> Digit12 a
forall a. a -> Digit12 a
One12 a
a) FingerTree (Node a)
m Digit a
sf
    Two a :: a
a b :: a
b -> Int -> Digit12 a -> FingerTree (Node a) -> Digit a -> Thin a
forall a.
Sized a =>
Int -> Digit12 a -> FingerTree (Node a) -> Digit a -> Thin a
thin12 Int
s (a -> a -> Digit12 a
forall a. a -> a -> Digit12 a
Two12 a
a a
b) FingerTree (Node a)
m Digit a
sf
    Three a :: a
a b :: a
b c :: a
c  -> Int -> Digit12 a -> FingerTree (Node a) -> Digit a -> Thin a
forall a.
Sized a =>
Int -> Digit12 a -> FingerTree (Node a) -> Digit a -> Thin a
thin12 Int
s (a -> Digit12 a
forall a. a -> Digit12 a
One12 a
a) (a -> a -> Node a
forall a. Sized a => a -> a -> Node a
node2 a
b a
c Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` FingerTree (Node a)
m) Digit a
sf
    Four a :: a
a b :: a
b c :: a
c d :: a
d -> Int -> Digit12 a -> FingerTree (Node a) -> Digit a -> Thin a
forall a.
Sized a =>
Int -> Digit12 a -> FingerTree (Node a) -> Digit a -> Thin a
thin12 Int
s (a -> a -> Digit12 a
forall a. a -> a -> Digit12 a
Two12 a
a a
b) (a -> a -> Node a
forall a. Sized a => a -> a -> Node a
node2 a
c a
d Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` FingerTree (Node a)
m) Digit a
sf

thin12 :: Sized a => Int -> Digit12 a -> FingerTree (Node a) -> Digit a -> Thin a
thin12 :: Int -> Digit12 a -> FingerTree (Node a) -> Digit a -> Thin a
thin12 s :: Int
s pr :: Digit12 a
pr m :: FingerTree (Node a)
m (One a :: a
a) = Int -> Digit12 a -> Thin (Node a) -> Digit12 a -> Thin a
forall a. Int -> Digit12 a -> Thin (Node a) -> Digit12 a -> Thin a
DeepTh Int
s Digit12 a
pr (FingerTree (Node a) -> Thin (Node a)
forall a. Sized a => FingerTree a -> Thin a
thin FingerTree (Node a)
m) (a -> Digit12 a
forall a. a -> Digit12 a
One12 a
a)
thin12 s :: Int
s pr :: Digit12 a
pr m :: FingerTree (Node a)
m (Two a :: a
a b :: a
b) = Int -> Digit12 a -> Thin (Node a) -> Digit12 a -> Thin a
forall a. Int -> Digit12 a -> Thin (Node a) -> Digit12 a -> Thin a
DeepTh Int
s Digit12 a
pr (FingerTree (Node a) -> Thin (Node a)
forall a. Sized a => FingerTree a -> Thin a
thin FingerTree (Node a)
m) (a -> a -> Digit12 a
forall a. a -> a -> Digit12 a
Two12 a
a a
b)
thin12 s :: Int
s pr :: Digit12 a
pr m :: FingerTree (Node a)
m (Three a :: a
a b :: a
b c :: a
c) = Int -> Digit12 a -> Thin (Node a) -> Digit12 a -> Thin a
forall a. Int -> Digit12 a -> Thin (Node a) -> Digit12 a -> Thin a
DeepTh Int
s Digit12 a
pr (FingerTree (Node a) -> Thin (Node a)
forall a. Sized a => FingerTree a -> Thin a
thin (FingerTree (Node a) -> Thin (Node a))
-> FingerTree (Node a) -> Thin (Node a)
forall a b. (a -> b) -> a -> b
$ FingerTree (Node a)
m FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` a -> a -> Node a
forall a. Sized a => a -> a -> Node a
node2 a
a a
b) (a -> Digit12 a
forall a. a -> Digit12 a
One12 a
c)
thin12 s :: Int
s pr :: Digit12 a
pr m :: FingerTree (Node a)
m (Four a :: a
a b :: a
b c :: a
c d :: a
d) = Int -> Digit12 a -> Thin (Node a) -> Digit12 a -> Thin a
forall a. Int -> Digit12 a -> Thin (Node a) -> Digit12 a -> Thin a
DeepTh Int
s Digit12 a
pr (FingerTree (Node a) -> Thin (Node a)
forall a. Sized a => FingerTree a -> Thin a
thin (FingerTree (Node a) -> Thin (Node a))
-> FingerTree (Node a) -> Thin (Node a)
forall a b. (a -> b) -> a -> b
$ FingerTree (Node a)
m FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` a -> a -> Node a
forall a. Sized a => a -> a -> Node a
node2 a
a a
b) (a -> a -> Digit12 a
forall a. a -> a -> Digit12 a
Two12 a
c a
d)

-- | \( O(n) \). Intersperse an element between the elements of a sequence.
--
-- @
-- intersperse a empty = empty
-- intersperse a (singleton x) = singleton x
-- intersperse a (fromList [x,y]) = fromList [x,a,y]
-- intersperse a (fromList [x,y,z]) = fromList [x,a,y,a,z]
-- @
--
-- @since 0.5.8
intersperse :: a -> Seq a -> Seq a
intersperse :: a -> Seq a -> Seq a
intersperse y :: a
y xs :: Seq a
xs = case Seq a -> ViewL a
forall a. Seq a -> ViewL a
viewl Seq a
xs of
  EmptyL -> Seq a
forall a. Seq a
empty
  p :: a
p :< ps :: Seq a
ps -> a
p a -> Seq a -> Seq a
forall a. a -> Seq a -> Seq a
<| (Seq a
ps Seq a -> Seq (a -> a) -> Seq a
forall (f :: * -> *) a b. Applicative f => f a -> f (a -> b) -> f b
<**> (a -> a -> a
forall a b. a -> b -> a
const a
y (a -> a) -> Seq (a -> a) -> Seq (a -> a)
forall a. a -> Seq a -> Seq a
<| (a -> a) -> Seq (a -> a)
forall a. a -> Seq a
singleton a -> a
forall a. a -> a
id))
-- We used to use
--
-- intersperse y xs = drop 1 $ xs <**> (const y <| singleton id)
--
-- but if length xs = ((maxBound :: Int) `quot` 2) + 1 then
--
-- length (xs <**> (const y <| singleton id)) will wrap around to negative
-- and the drop won't work. The new implementation can produce a result
-- right up to maxBound :: Int

instance MonadPlus Seq where
    mzero :: Seq a
mzero = Seq a
forall a. Seq a
empty
    mplus :: Seq a -> Seq a -> Seq a
mplus = Seq a -> Seq a -> Seq a
forall a. Seq a -> Seq a -> Seq a
(><)

-- | @since 0.5.4
instance Alternative Seq where
    empty :: Seq a
empty = Seq a
forall a. Seq a
empty
    <|> :: Seq a -> Seq a -> Seq a
(<|>) = Seq a -> Seq a -> Seq a
forall a. Seq a -> Seq a -> Seq a
(><)

instance Eq a => Eq (Seq a) where
    xs :: Seq a
xs == :: Seq a -> Seq a -> Bool
== ys :: Seq a
ys = Seq a -> Int
forall a. Seq a -> Int
length Seq a
xs Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== Seq a -> Int
forall a. Seq a -> Int
length Seq a
ys Bool -> Bool -> Bool
&& Seq a -> [a]
forall (t :: * -> *) a. Foldable t => t a -> [a]
toList Seq a
xs [a] -> [a] -> Bool
forall a. Eq a => a -> a -> Bool
== Seq a -> [a]
forall (t :: * -> *) a. Foldable t => t a -> [a]
toList Seq a
ys

instance Ord a => Ord (Seq a) where
    compare :: Seq a -> Seq a -> Ordering
compare xs :: Seq a
xs ys :: Seq a
ys = [a] -> [a] -> Ordering
forall a. Ord a => a -> a -> Ordering
compare (Seq a -> [a]
forall (t :: * -> *) a. Foldable t => t a -> [a]
toList Seq a
xs) (Seq a -> [a]
forall (t :: * -> *) a. Foldable t => t a -> [a]
toList Seq a
ys)

#ifdef TESTING
instance Show a => Show (Seq a) where
    showsPrec p (Seq x) = showsPrec p x
#else
instance Show a => Show (Seq a) where
    showsPrec :: Int -> Seq a -> ShowS
showsPrec p :: Int
p xs :: Seq a
xs = Bool -> ShowS -> ShowS
showParen (Int
p Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
> 10) (ShowS -> ShowS) -> ShowS -> ShowS
forall a b. (a -> b) -> a -> b
$
        [Char] -> ShowS
showString "fromList " ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. [a] -> ShowS
forall a. Show a => a -> ShowS
shows (Seq a -> [a]
forall (t :: * -> *) a. Foldable t => t a -> [a]
toList Seq a
xs)
#endif

#if MIN_VERSION_base(4,9,0)
-- | @since 0.5.9
instance Show1 Seq where
  liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Seq a -> ShowS
liftShowsPrec _shwsPrc :: Int -> a -> ShowS
_shwsPrc shwList :: [a] -> ShowS
shwList p :: Int
p xs :: Seq a
xs = Bool -> ShowS -> ShowS
showParen (Int
p Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
> 10) (ShowS -> ShowS) -> ShowS -> ShowS
forall a b. (a -> b) -> a -> b
$
        [Char] -> ShowS
showString "fromList " ShowS -> ShowS -> ShowS
forall b c a. (b -> c) -> (a -> b) -> a -> c
. [a] -> ShowS
shwList (Seq a -> [a]
forall (t :: * -> *) a. Foldable t => t a -> [a]
toList Seq a
xs)

-- | @since 0.5.9
instance Eq1 Seq where
    liftEq :: (a -> b -> Bool) -> Seq a -> Seq b -> Bool
liftEq eq :: a -> b -> Bool
eq xs :: Seq a
xs ys :: Seq b
ys = Seq a -> Int
forall a. Seq a -> Int
length Seq a
xs Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== Seq b -> Int
forall a. Seq a -> Int
length Seq b
ys Bool -> Bool -> Bool
&& (a -> b -> Bool) -> [a] -> [b] -> Bool
forall (f :: * -> *) a b.
Eq1 f =>
(a -> b -> Bool) -> f a -> f b -> Bool
liftEq a -> b -> Bool
eq (Seq a -> [a]
forall (t :: * -> *) a. Foldable t => t a -> [a]
toList Seq a
xs) (Seq b -> [b]
forall (t :: * -> *) a. Foldable t => t a -> [a]
toList Seq b
ys)

-- | @since 0.5.9
instance Ord1 Seq where
    liftCompare :: (a -> b -> Ordering) -> Seq a -> Seq b -> Ordering
liftCompare cmp :: a -> b -> Ordering
cmp xs :: Seq a
xs ys :: Seq b
ys = (a -> b -> Ordering) -> [a] -> [b] -> Ordering
forall (f :: * -> *) a b.
Ord1 f =>
(a -> b -> Ordering) -> f a -> f b -> Ordering
liftCompare a -> b -> Ordering
cmp (Seq a -> [a]
forall (t :: * -> *) a. Foldable t => t a -> [a]
toList Seq a
xs) (Seq b -> [b]
forall (t :: * -> *) a. Foldable t => t a -> [a]
toList Seq b
ys)
#endif

instance Read a => Read (Seq a) where
#ifdef __GLASGOW_HASKELL__
    readPrec :: ReadPrec (Seq a)
readPrec = ReadPrec (Seq a) -> ReadPrec (Seq a)
forall a. ReadPrec a -> ReadPrec a
parens (ReadPrec (Seq a) -> ReadPrec (Seq a))
-> ReadPrec (Seq a) -> ReadPrec (Seq a)
forall a b. (a -> b) -> a -> b
$ Int -> ReadPrec (Seq a) -> ReadPrec (Seq a)
forall a. Int -> ReadPrec a -> ReadPrec a
prec 10 (ReadPrec (Seq a) -> ReadPrec (Seq a))
-> ReadPrec (Seq a) -> ReadPrec (Seq a)
forall a b. (a -> b) -> a -> b
$ do
        Ident "fromList" <- ReadPrec Lexeme
lexP
        [a]
xs <- ReadPrec [a]
forall a. Read a => ReadPrec a
readPrec
        Seq a -> ReadPrec (Seq a)
forall (m :: * -> *) a. Monad m => a -> m a
return ([a] -> Seq a
forall a. [a] -> Seq a
fromList [a]
xs)

    readListPrec :: ReadPrec [Seq a]
readListPrec = ReadPrec [Seq a]
forall a. Read a => ReadPrec [a]
readListPrecDefault
#else
    readsPrec p = readParen (p > 10) $ \ r -> do
        ("fromList",s) <- lex r
        (xs,t) <- reads s
        return (fromList xs,t)
#endif

#if MIN_VERSION_base(4,9,0)
-- | @since 0.5.9
instance Read1 Seq where
  liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (Seq a)
liftReadsPrec _rp :: Int -> ReadS a
_rp readLst :: ReadS [a]
readLst p :: Int
p = Bool -> ReadS (Seq a) -> ReadS (Seq a)
forall a. Bool -> ReadS a -> ReadS a
readParen (Int
p Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
> 10) (ReadS (Seq a) -> ReadS (Seq a)) -> ReadS (Seq a) -> ReadS (Seq a)
forall a b. (a -> b) -> a -> b
$ \r :: [Char]
r -> do
    ("fromList",s :: [Char]
s) <- ReadS [Char]
lex [Char]
r
    (xs :: [a]
xs,t :: [Char]
t) <- ReadS [a]
readLst [Char]
s
    (Seq a, [Char]) -> [(Seq a, [Char])]
forall (f :: * -> *) a. Applicative f => a -> f a
pure ([a] -> Seq a
forall a. [a] -> Seq a
fromList [a]
xs, [Char]
t)
#endif

instance Monoid (Seq a) where
    mempty :: Seq a
mempty = Seq a
forall a. Seq a
empty
    mappend :: Seq a -> Seq a -> Seq a
mappend = Seq a -> Seq a -> Seq a
forall a. Seq a -> Seq a -> Seq a
(><)

#if MIN_VERSION_base(4,9,0)
-- | @since 0.5.7
instance Semigroup.Semigroup (Seq a) where
    <> :: Seq a -> Seq a -> Seq a
(<>)    = Seq a -> Seq a -> Seq a
forall a. Seq a -> Seq a -> Seq a
(><)
    stimes :: b -> Seq a -> Seq a
stimes = Int -> Seq a -> Seq a
forall a. Int -> Seq a -> Seq a
cycleNTimes (Int -> Seq a -> Seq a) -> (b -> Int) -> b -> Seq a -> Seq a
forall b c a. (b -> c) -> (a -> b) -> a -> c
. b -> Int
forall a b. (Integral a, Num b) => a -> b
fromIntegral
#endif

INSTANCE_TYPEABLE1(Seq)

#if __GLASGOW_HASKELL__
instance Data a => Data (Seq a) where
    gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b)
-> (forall g. g -> c g) -> Seq a -> c (Seq a)
gfoldl f :: forall d b. Data d => c (d -> b) -> d -> c b
f z :: forall g. g -> c g
z s :: Seq a
s    = case Seq a -> ViewL a
forall a. Seq a -> ViewL a
viewl Seq a
s of
        EmptyL  -> Seq a -> c (Seq a)
forall g. g -> c g
z Seq a
forall a. Seq a
empty
        x :: a
x :< xs :: Seq a
xs -> (a -> Seq a -> Seq a) -> c (a -> Seq a -> Seq a)
forall g. g -> c g
z a -> Seq a -> Seq a
forall a. a -> Seq a -> Seq a
(<|) c (a -> Seq a -> Seq a) -> a -> c (Seq a -> Seq a)
forall d b. Data d => c (d -> b) -> d -> c b
`f` a
x c (Seq a -> Seq a) -> Seq a -> c (Seq a)
forall d b. Data d => c (d -> b) -> d -> c b
`f` Seq a
xs

    gunfold :: (forall b r. Data b => c (b -> r) -> c r)
-> (forall r. r -> c r) -> Constr -> c (Seq a)
gunfold k :: forall b r. Data b => c (b -> r) -> c r
k z :: forall r. r -> c r
z c :: Constr
c   = case Constr -> Int
constrIndex Constr
c of
        1 -> Seq a -> c (Seq a)
forall r. r -> c r
z Seq a
forall a. Seq a
empty
        2 -> c (Seq a -> Seq a) -> c (Seq a)
forall b r. Data b => c (b -> r) -> c r
k (c (a -> Seq a -> Seq a) -> c (Seq a -> Seq a)
forall b r. Data b => c (b -> r) -> c r
k ((a -> Seq a -> Seq a) -> c (a -> Seq a -> Seq a)
forall r. r -> c r
z a -> Seq a -> Seq a
forall a. a -> Seq a -> Seq a
(<|)))
        _ -> [Char] -> c (Seq a)
forall a. HasCallStack => [Char] -> a
error "gunfold"

    toConstr :: Seq a -> Constr
toConstr xs :: Seq a
xs
      | Seq a -> Bool
forall a. Seq a -> Bool
null Seq a
xs     = Constr
emptyConstr
      | Bool
otherwise   = Constr
consConstr

    dataTypeOf :: Seq a -> DataType
dataTypeOf _    = DataType
seqDataType

    dataCast1 :: (forall d. Data d => c (t d)) -> Maybe (c (Seq a))
dataCast1 f :: forall d. Data d => c (t d)
f     = c (t a) -> Maybe (c (Seq a))
forall k1 k2 (c :: k1 -> *) (t :: k2 -> k1) (t' :: k2 -> k1)
       (a :: k2).
(Typeable t, Typeable t') =>
c (t a) -> Maybe (c (t' a))
gcast1 c (t a)
forall d. Data d => c (t d)
f

emptyConstr, consConstr :: Constr
emptyConstr :: Constr
emptyConstr = DataType -> [Char] -> [[Char]] -> Fixity -> Constr
mkConstr DataType
seqDataType "empty" [] Fixity
Prefix
consConstr :: Constr
consConstr  = DataType -> [Char] -> [[Char]] -> Fixity -> Constr
mkConstr DataType
seqDataType "<|" [] Fixity
Infix

seqDataType :: DataType
seqDataType :: DataType
seqDataType = [Char] -> [Constr] -> DataType
mkDataType "Data.Sequence.Seq" [Constr
emptyConstr, Constr
consConstr]
#endif

-- Finger trees

data FingerTree a
    = EmptyT
    | Single a
    | Deep {-# UNPACK #-} !Int !(Digit a) (FingerTree (Node a)) !(Digit a)
#ifdef TESTING
    deriving Show
#endif

#ifdef __GLASGOW_HASKELL__
-- | @since 0.6.1
deriving instance Generic1 FingerTree

-- | @since 0.6.1
deriving instance Generic (FingerTree a)
#endif

instance Sized a => Sized (FingerTree a) where
    {-# SPECIALIZE instance Sized (FingerTree (Elem a)) #-}
    {-# SPECIALIZE instance Sized (FingerTree (Node a)) #-}
    size :: FingerTree a -> Int
size EmptyT             = 0
    size (Single x :: a
x)         = a -> Int
forall a. Sized a => a -> Int
size a
x
    size (Deep v :: Int
v _ _ _)     = Int
v

instance Foldable FingerTree where
    foldMap :: (a -> m) -> FingerTree a -> m
foldMap _ EmptyT = m
forall a. Monoid a => a
mempty
    foldMap f' :: a -> m
f' (Single x' :: a
x') = a -> m
f' a
x'
    foldMap f' :: a -> m
f' (Deep _ pr' :: Digit a
pr' m' :: FingerTree (Node a)
m' sf' :: Digit a
sf') = 
        (a -> m) -> Digit a -> m
forall m a. Monoid m => (a -> m) -> Digit a -> m
foldMapDigit a -> m
f' Digit a
pr' m -> m -> m
forall a. Monoid a => a -> a -> a
<>
        (Node a -> m) -> FingerTree (Node a) -> m
forall m a. Monoid m => (Node a -> m) -> FingerTree (Node a) -> m
foldMapTree ((a -> m) -> Node a -> m
forall m a. Monoid m => (a -> m) -> Node a -> m
foldMapNode a -> m
f') FingerTree (Node a)
m' m -> m -> m
forall a. Monoid a => a -> a -> a
<>
        (a -> m) -> Digit a -> m
forall m a. Monoid m => (a -> m) -> Digit a -> m
foldMapDigit a -> m
f' Digit a
sf'
      where
        foldMapTree :: Monoid m => (Node a -> m) -> FingerTree (Node a) -> m
        foldMapTree :: (Node a -> m) -> FingerTree (Node a) -> m
foldMapTree _ EmptyT = m
forall a. Monoid a => a
mempty
        foldMapTree f :: Node a -> m
f (Single x :: Node a
x) = Node a -> m
f Node a
x
        foldMapTree f :: Node a -> m
f (Deep _ pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf) = 
            (Node a -> m) -> Digit (Node a) -> m
forall m a. Monoid m => (Node a -> m) -> Digit (Node a) -> m
foldMapDigitN Node a -> m
f Digit (Node a)
pr m -> m -> m
forall a. Monoid a => a -> a -> a
<>
            (Node (Node a) -> m) -> FingerTree (Node (Node a)) -> m
forall m a. Monoid m => (Node a -> m) -> FingerTree (Node a) -> m
foldMapTree ((Node a -> m) -> Node (Node a) -> m
forall m a. Monoid m => (Node a -> m) -> Node (Node a) -> m
foldMapNodeN Node a -> m
f) FingerTree (Node (Node a))
m m -> m -> m
forall a. Monoid a => a -> a -> a
<>
            (Node a -> m) -> Digit (Node a) -> m
forall m a. Monoid m => (Node a -> m) -> Digit (Node a) -> m
foldMapDigitN Node a -> m
f Digit (Node a)
sf

        foldMapDigit :: Monoid m => (a -> m) -> Digit a -> m
        foldMapDigit :: (a -> m) -> Digit a -> m
foldMapDigit f :: a -> m
f t :: Digit a
t = (m -> m -> m) -> (a -> m) -> Digit a -> m
forall b a. (b -> b -> b) -> (a -> b) -> Digit a -> b
foldDigit m -> m -> m
forall a. Monoid a => a -> a -> a
(<>) a -> m
f Digit a
t

        foldMapDigitN :: Monoid m => (Node a -> m) -> Digit (Node a) -> m
        foldMapDigitN :: (Node a -> m) -> Digit (Node a) -> m
foldMapDigitN f :: Node a -> m
f t :: Digit (Node a)
t = (m -> m -> m) -> (Node a -> m) -> Digit (Node a) -> m
forall b a. (b -> b -> b) -> (a -> b) -> Digit a -> b
foldDigit m -> m -> m
forall a. Monoid a => a -> a -> a
(<>) Node a -> m
f Digit (Node a)
t

        foldMapNode :: Monoid m => (a -> m) -> Node a -> m
        foldMapNode :: (a -> m) -> Node a -> m
foldMapNode f :: a -> m
f t :: Node a
t = (m -> m -> m) -> (a -> m) -> Node a -> m
forall b a. (b -> b -> b) -> (a -> b) -> Node a -> b
foldNode m -> m -> m
forall a. Monoid a => a -> a -> a
(<>) a -> m
f Node a
t

        foldMapNodeN :: Monoid m => (Node a -> m) -> Node (Node a) -> m
        foldMapNodeN :: (Node a -> m) -> Node (Node a) -> m
foldMapNodeN f :: Node a -> m
f t :: Node (Node a)
t = (m -> m -> m) -> (Node a -> m) -> Node (Node a) -> m
forall b a. (b -> b -> b) -> (a -> b) -> Node a -> b
foldNode m -> m -> m
forall a. Monoid a => a -> a -> a
(<>) Node a -> m
f Node (Node a)
t
#if __GLASGOW_HASKELL__
    {-# INLINABLE foldMap #-}
#endif

    foldr :: (a -> b -> b) -> b -> FingerTree a -> b
foldr _ z' :: b
z' EmptyT = b
z'
    foldr f' :: a -> b -> b
f' z' :: b
z' (Single x' :: a
x') = a
x' a -> b -> b
`f'` b
z'
    foldr f' :: a -> b -> b
f' z' :: b
z' (Deep _ pr' :: Digit a
pr' m' :: FingerTree (Node a)
m' sf' :: Digit a
sf') =
        (a -> b -> b) -> b -> Digit a -> b
forall a b. (a -> b -> b) -> b -> Digit a -> b
foldrDigit a -> b -> b
f' ((Node a -> b -> b) -> b -> FingerTree (Node a) -> b
forall a b. (Node a -> b -> b) -> b -> FingerTree (Node a) -> b
foldrTree ((a -> b -> b) -> Node a -> b -> b
forall a b. (a -> b -> b) -> Node a -> b -> b
foldrNode a -> b -> b
f') ((a -> b -> b) -> b -> Digit a -> b
forall a b. (a -> b -> b) -> b -> Digit a -> b
foldrDigit a -> b -> b
f' b
z' Digit a
sf') FingerTree (Node a)
m') Digit a
pr'
      where
        foldrTree :: (Node a -> b -> b) -> b -> FingerTree (Node a) -> b
        foldrTree :: (Node a -> b -> b) -> b -> FingerTree (Node a) -> b
foldrTree _ z :: b
z EmptyT = b
z
        foldrTree f :: Node a -> b -> b
f z :: b
z (Single x :: Node a
x) = Node a
x Node a -> b -> b
`f` b
z
        foldrTree f :: Node a -> b -> b
f z :: b
z (Deep _ pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf) =
            (Node a -> b -> b) -> b -> Digit (Node a) -> b
forall a b. (Node a -> b -> b) -> b -> Digit (Node a) -> b
foldrDigitN Node a -> b -> b
f ((Node (Node a) -> b -> b) -> b -> FingerTree (Node (Node a)) -> b
forall a b. (Node a -> b -> b) -> b -> FingerTree (Node a) -> b
foldrTree ((Node a -> b -> b) -> Node (Node a) -> b -> b
forall a b. (Node a -> b -> b) -> Node (Node a) -> b -> b
foldrNodeN Node a -> b -> b
f) ((Node a -> b -> b) -> b -> Digit (Node a) -> b
forall a b. (Node a -> b -> b) -> b -> Digit (Node a) -> b
foldrDigitN Node a -> b -> b
f b
z Digit (Node a)
sf) FingerTree (Node (Node a))
m) Digit (Node a)
pr

        foldrDigit :: (a -> b -> b) -> b -> Digit a -> b
        foldrDigit :: (a -> b -> b) -> b -> Digit a -> b
foldrDigit f :: a -> b -> b
f z :: b
z t :: Digit a
t = (a -> b -> b) -> b -> Digit a -> b
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr a -> b -> b
f b
z Digit a
t

        foldrDigitN :: (Node a -> b -> b) -> b -> Digit (Node a) -> b
        foldrDigitN :: (Node a -> b -> b) -> b -> Digit (Node a) -> b
foldrDigitN f :: Node a -> b -> b
f z :: b
z t :: Digit (Node a)
t = (Node a -> b -> b) -> b -> Digit (Node a) -> b
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr Node a -> b -> b
f b
z Digit (Node a)
t

        foldrNode :: (a -> b -> b) -> Node a -> b -> b
        foldrNode :: (a -> b -> b) -> Node a -> b -> b
foldrNode f :: a -> b -> b
f t :: Node a
t z :: b
z = (a -> b -> b) -> b -> Node a -> b
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr a -> b -> b
f b
z Node a
t

        foldrNodeN :: (Node a -> b -> b) -> Node (Node a) -> b -> b
        foldrNodeN :: (Node a -> b -> b) -> Node (Node a) -> b -> b
foldrNodeN f :: Node a -> b -> b
f t :: Node (Node a)
t z :: b
z = (Node a -> b -> b) -> b -> Node (Node a) -> b
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr Node a -> b -> b
f b
z Node (Node a)
t
    {-# INLINE foldr #-}


    foldl :: (b -> a -> b) -> b -> FingerTree a -> b
foldl _ z' :: b
z' EmptyT = b
z'
    foldl f' :: b -> a -> b
f' z' :: b
z' (Single x' :: a
x') = b
z' b -> a -> b
`f'` a
x'
    foldl f' :: b -> a -> b
f' z' :: b
z' (Deep _ pr' :: Digit a
pr' m' :: FingerTree (Node a)
m' sf' :: Digit a
sf') =
        (b -> a -> b) -> b -> Digit a -> b
forall b a. (b -> a -> b) -> b -> Digit a -> b
foldlDigit b -> a -> b
f' ((b -> Node a -> b) -> b -> FingerTree (Node a) -> b
forall b a. (b -> Node a -> b) -> b -> FingerTree (Node a) -> b
foldlTree ((b -> a -> b) -> b -> Node a -> b
forall b a. (b -> a -> b) -> b -> Node a -> b
foldlNode b -> a -> b
f') ((b -> a -> b) -> b -> Digit a -> b
forall b a. (b -> a -> b) -> b -> Digit a -> b
foldlDigit b -> a -> b
f' b
z' Digit a
pr') FingerTree (Node a)
m') Digit a
sf'
      where
        foldlTree :: (b -> Node a -> b) -> b -> FingerTree (Node a) -> b
        foldlTree :: (b -> Node a -> b) -> b -> FingerTree (Node a) -> b
foldlTree _ z :: b
z EmptyT = b
z
        foldlTree f :: b -> Node a -> b
f z :: b
z (Single x :: Node a
x) = b
z b -> Node a -> b
`f` Node a
x
        foldlTree f :: b -> Node a -> b
f z :: b
z (Deep _ pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf) =
            (b -> Node a -> b) -> b -> Digit (Node a) -> b
forall b a. (b -> Node a -> b) -> b -> Digit (Node a) -> b
foldlDigitN b -> Node a -> b
f ((b -> Node (Node a) -> b) -> b -> FingerTree (Node (Node a)) -> b
forall b a. (b -> Node a -> b) -> b -> FingerTree (Node a) -> b
foldlTree ((b -> Node a -> b) -> b -> Node (Node a) -> b
forall b a. (b -> Node a -> b) -> b -> Node (Node a) -> b
foldlNodeN b -> Node a -> b
f) ((b -> Node a -> b) -> b -> Digit (Node a) -> b
forall b a. (b -> Node a -> b) -> b -> Digit (Node a) -> b
foldlDigitN b -> Node a -> b
f b
z Digit (Node a)
pr) FingerTree (Node (Node a))
m) Digit (Node a)
sf

        foldlDigit :: (b -> a -> b) -> b -> Digit a -> b
        foldlDigit :: (b -> a -> b) -> b -> Digit a -> b
foldlDigit f :: b -> a -> b
f z :: b
z t :: Digit a
t = (b -> a -> b) -> b -> Digit a -> b
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl b -> a -> b
f b
z Digit a
t

        foldlDigitN :: (b -> Node a -> b) -> b -> Digit (Node a) -> b
        foldlDigitN :: (b -> Node a -> b) -> b -> Digit (Node a) -> b
foldlDigitN f :: b -> Node a -> b
f z :: b
z t :: Digit (Node a)
t = (b -> Node a -> b) -> b -> Digit (Node a) -> b
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl b -> Node a -> b
f b
z Digit (Node a)
t

        foldlNode :: (b -> a -> b) -> b -> Node a -> b
        foldlNode :: (b -> a -> b) -> b -> Node a -> b
foldlNode f :: b -> a -> b
f z :: b
z t :: Node a
t = (b -> a -> b) -> b -> Node a -> b
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl b -> a -> b
f b
z Node a
t

        foldlNodeN :: (b -> Node a -> b) -> b -> Node (Node a) -> b
        foldlNodeN :: (b -> Node a -> b) -> b -> Node (Node a) -> b
foldlNodeN f :: b -> Node a -> b
f z :: b
z t :: Node (Node a)
t = (b -> Node a -> b) -> b -> Node (Node a) -> b
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl b -> Node a -> b
f b
z Node (Node a)
t
    {-# INLINE foldl #-}

    foldr' :: (a -> b -> b) -> b -> FingerTree a -> b
foldr' _ z' :: b
z' EmptyT = b
z'
    foldr' f' :: a -> b -> b
f' z' :: b
z' (Single x' :: a
x') = a -> b -> b
f' a
x' b
z'
    foldr' f' :: a -> b -> b
f' z' :: b
z' (Deep _ pr' :: Digit a
pr' m' :: FingerTree (Node a)
m' sf' :: Digit a
sf') =
        ((a -> b -> b) -> b -> Digit a -> b
forall a b. (a -> b -> b) -> b -> Digit a -> b
foldrDigit' a -> b -> b
f' (b -> Digit a -> b) -> b -> Digit a -> b
forall a b. (a -> b) -> a -> b
$! ((Node a -> b -> b) -> b -> FingerTree (Node a) -> b
forall a b. (Node a -> b -> b) -> b -> FingerTree (Node a) -> b
foldrTree' ((a -> b -> b) -> Node a -> b -> b
forall a b. (a -> b -> b) -> Node a -> b -> b
foldrNode' a -> b -> b
f') (b -> FingerTree (Node a) -> b) -> b -> FingerTree (Node a) -> b
forall a b. (a -> b) -> a -> b
$! ((a -> b -> b) -> b -> Digit a -> b
forall a b. (a -> b -> b) -> b -> Digit a -> b
foldrDigit' a -> b -> b
f' b
z') Digit a
sf') FingerTree (Node a)
m') Digit a
pr'
      where
        foldrTree' :: (Node a -> b -> b) -> b -> FingerTree (Node a) -> b
        foldrTree' :: (Node a -> b -> b) -> b -> FingerTree (Node a) -> b
foldrTree' _ z :: b
z EmptyT = b
z
        foldrTree' f :: Node a -> b -> b
f z :: b
z (Single x :: Node a
x) = Node a -> b -> b
f Node a
x (b -> b) -> b -> b
forall a b. (a -> b) -> a -> b
$! b
z
        foldrTree' f :: Node a -> b -> b
f z :: b
z (Deep _ pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf) =
            ((Node a -> b -> b) -> b -> Digit (Node a) -> b
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr' Node a -> b -> b
f (b -> Digit (Node a) -> b) -> b -> Digit (Node a) -> b
forall a b. (a -> b) -> a -> b
$! ((Node (Node a) -> b -> b) -> b -> FingerTree (Node (Node a)) -> b
forall a b. (Node a -> b -> b) -> b -> FingerTree (Node a) -> b
foldrTree' ((Node a -> b -> b) -> Node (Node a) -> b -> b
forall a b. (Node a -> b -> b) -> Node (Node a) -> b -> b
foldrNodeN' Node a -> b -> b
f) (b -> FingerTree (Node (Node a)) -> b)
-> b -> FingerTree (Node (Node a)) -> b
forall a b. (a -> b) -> a -> b
$! ((Node a -> b -> b) -> b -> Digit (Node a) -> b
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr' Node a -> b -> b
f (b -> Digit (Node a) -> b) -> b -> Digit (Node a) -> b
forall a b. (a -> b) -> a -> b
$! b
z) Digit (Node a)
sf) FingerTree (Node (Node a))
m) Digit (Node a)
pr

        foldrDigit' :: (a -> b -> b) -> b -> Digit a -> b
        foldrDigit' :: (a -> b -> b) -> b -> Digit a -> b
foldrDigit' f :: a -> b -> b
f z :: b
z t :: Digit a
t = (a -> b -> b) -> b -> Digit a -> b
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr' a -> b -> b
f b
z Digit a
t

        foldrNode' :: (a -> b -> b) -> Node a -> b -> b
        foldrNode' :: (a -> b -> b) -> Node a -> b -> b
foldrNode' f :: a -> b -> b
f t :: Node a
t z :: b
z = (a -> b -> b) -> b -> Node a -> b
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr' a -> b -> b
f b
z Node a
t

        foldrNodeN' :: (Node a -> b -> b) -> Node (Node a) -> b -> b
        foldrNodeN' :: (Node a -> b -> b) -> Node (Node a) -> b -> b
foldrNodeN' f :: Node a -> b -> b
f t :: Node (Node a)
t z :: b
z = (Node a -> b -> b) -> b -> Node (Node a) -> b
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr' Node a -> b -> b
f b
z Node (Node a)
t
    {-# INLINE foldr' #-}

    foldl' :: (b -> a -> b) -> b -> FingerTree a -> b
foldl' _ z' :: b
z' EmptyT = b
z'
    foldl' f' :: b -> a -> b
f' z' :: b
z' (Single x' :: a
x') = b -> a -> b
f' b
z' a
x'
    foldl' f' :: b -> a -> b
f' z' :: b
z' (Deep _ pr' :: Digit a
pr' m' :: FingerTree (Node a)
m' sf' :: Digit a
sf') =
        ((b -> a -> b) -> b -> Digit a -> b
forall b a. (b -> a -> b) -> b -> Digit a -> b
foldlDigit' b -> a -> b
f' (b -> Digit a -> b) -> b -> Digit a -> b
forall a b. (a -> b) -> a -> b
$!
         ((b -> Node a -> b) -> b -> FingerTree (Node a) -> b
forall b a. (b -> Node a -> b) -> b -> FingerTree (Node a) -> b
foldlTree' ((b -> a -> b) -> b -> Node a -> b
forall b a. (b -> a -> b) -> b -> Node a -> b
foldlNode' b -> a -> b
f') (b -> FingerTree (Node a) -> b) -> b -> FingerTree (Node a) -> b
forall a b. (a -> b) -> a -> b
$! ((b -> a -> b) -> b -> Digit a -> b
forall b a. (b -> a -> b) -> b -> Digit a -> b
foldlDigit' b -> a -> b
f' b
z') Digit a
pr') FingerTree (Node a)
m')
            Digit a
sf'
      where
        foldlTree' :: (b -> Node a -> b) -> b -> FingerTree (Node a) -> b
        foldlTree' :: (b -> Node a -> b) -> b -> FingerTree (Node a) -> b
foldlTree' _ z :: b
z EmptyT = b
z
        foldlTree' f :: b -> Node a -> b
f z :: b
z (Single xs :: Node a
xs) = b -> Node a -> b
f b
z Node a
xs
        foldlTree' f :: b -> Node a -> b
f z :: b
z (Deep _ pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf) =
            ((b -> Node a -> b) -> b -> Digit (Node a) -> b
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl' b -> Node a -> b
f (b -> Digit (Node a) -> b) -> b -> Digit (Node a) -> b
forall a b. (a -> b) -> a -> b
$! ((b -> Node (Node a) -> b) -> b -> FingerTree (Node (Node a)) -> b
forall b a. (b -> Node a -> b) -> b -> FingerTree (Node a) -> b
foldlTree' ((b -> Node a -> b) -> b -> Node (Node a) -> b
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl' b -> Node a -> b
f) (b -> FingerTree (Node (Node a)) -> b)
-> b -> FingerTree (Node (Node a)) -> b
forall a b. (a -> b) -> a -> b
$! (b -> Node a -> b) -> b -> Digit (Node a) -> b
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl' b -> Node a -> b
f b
z Digit (Node a)
pr) FingerTree (Node (Node a))
m) Digit (Node a)
sf

        foldlDigit' :: (b -> a -> b) -> b -> Digit a -> b
        foldlDigit' :: (b -> a -> b) -> b -> Digit a -> b
foldlDigit' f :: b -> a -> b
f z :: b
z t :: Digit a
t = (b -> a -> b) -> b -> Digit a -> b
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl' b -> a -> b
f b
z Digit a
t

        foldlNode' :: (b -> a -> b) -> b -> Node a -> b
        foldlNode' :: (b -> a -> b) -> b -> Node a -> b
foldlNode' f :: b -> a -> b
f z :: b
z t :: Node a
t = (b -> a -> b) -> b -> Node a -> b
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl' b -> a -> b
f b
z Node a
t
    {-# INLINE foldl' #-}

    foldr1 :: (a -> a -> a) -> FingerTree a -> a
foldr1 _ EmptyT = [Char] -> a
forall a. HasCallStack => [Char] -> a
error "foldr1: empty sequence"
    foldr1 _ (Single x :: a
x) = a
x
    foldr1 f :: a -> a -> a
f (Deep _ pr :: Digit a
pr m :: FingerTree (Node a)
m sf :: Digit a
sf) =
        (a -> a -> a) -> a -> Digit a -> a
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr a -> a -> a
f ((Node a -> a -> a) -> a -> FingerTree (Node a) -> a
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr ((a -> Node a -> a) -> Node a -> a -> a
forall a b c. (a -> b -> c) -> b -> a -> c
flip ((a -> a -> a) -> a -> Node a -> a
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr a -> a -> a
f)) ((a -> a -> a) -> Digit a -> a
forall (t :: * -> *) a. Foldable t => (a -> a -> a) -> t a -> a
foldr1 a -> a -> a
f Digit a
sf) FingerTree (Node a)
m) Digit a
pr

    foldl1 :: (a -> a -> a) -> FingerTree a -> a
foldl1 _ EmptyT = [Char] -> a
forall a. HasCallStack => [Char] -> a
error "foldl1: empty sequence"
    foldl1 _ (Single x :: a
x) = a
x
    foldl1 f :: a -> a -> a
f (Deep _ pr :: Digit a
pr m :: FingerTree (Node a)
m sf :: Digit a
sf) =
        (a -> a -> a) -> a -> Digit a -> a
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl a -> a -> a
f ((a -> Node a -> a) -> a -> FingerTree (Node a) -> a
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl ((a -> a -> a) -> a -> Node a -> a
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl a -> a -> a
f) ((a -> a -> a) -> Digit a -> a
forall (t :: * -> *) a. Foldable t => (a -> a -> a) -> t a -> a
foldl1 a -> a -> a
f Digit a
pr) FingerTree (Node a)
m) Digit a
sf

instance Functor FingerTree where
    fmap :: (a -> b) -> FingerTree a -> FingerTree b
fmap _ EmptyT = FingerTree b
forall a. FingerTree a
EmptyT
    fmap f :: a -> b
f (Single x :: a
x) = b -> FingerTree b
forall a. a -> FingerTree a
Single (a -> b
f a
x)
    fmap f :: a -> b
f (Deep v :: Int
v pr :: Digit a
pr m :: FingerTree (Node a)
m sf :: Digit a
sf) =
        Int -> Digit b -> FingerTree (Node b) -> Digit b -> FingerTree b
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
v ((a -> b) -> Digit a -> Digit b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> b
f Digit a
pr) ((Node a -> Node b) -> FingerTree (Node a) -> FingerTree (Node b)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap ((a -> b) -> Node a -> Node b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> b
f) FingerTree (Node a)
m) ((a -> b) -> Digit a -> Digit b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> b
f Digit a
sf)

instance Traversable FingerTree where
    traverse :: (a -> f b) -> FingerTree a -> f (FingerTree b)
traverse _ EmptyT = FingerTree b -> f (FingerTree b)
forall (f :: * -> *) a. Applicative f => a -> f a
pure FingerTree b
forall a. FingerTree a
EmptyT
    traverse f :: a -> f b
f (Single x :: a
x) = b -> FingerTree b
forall a. a -> FingerTree a
Single (b -> FingerTree b) -> f b -> f (FingerTree b)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> a -> f b
f a
x
    traverse f :: a -> f b
f (Deep v :: Int
v pr :: Digit a
pr m :: FingerTree (Node a)
m sf :: Digit a
sf) =
        (Digit b -> FingerTree (Node b) -> Digit b -> FingerTree b)
-> f (Digit b)
-> f (FingerTree (Node b))
-> f (Digit b)
-> f (FingerTree b)
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3 (Int -> Digit b -> FingerTree (Node b) -> Digit b -> FingerTree b
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
v) ((a -> f b) -> Digit a -> f (Digit b)
forall (t :: * -> *) (f :: * -> *) a b.
(Traversable t, Applicative f) =>
(a -> f b) -> t a -> f (t b)
traverse a -> f b
f Digit a
pr) ((Node a -> f (Node b))
-> FingerTree (Node a) -> f (FingerTree (Node b))
forall (t :: * -> *) (f :: * -> *) a b.
(Traversable t, Applicative f) =>
(a -> f b) -> t a -> f (t b)
traverse ((a -> f b) -> Node a -> f (Node b)
forall (t :: * -> *) (f :: * -> *) a b.
(Traversable t, Applicative f) =>
(a -> f b) -> t a -> f (t b)
traverse a -> f b
f) FingerTree (Node a)
m)
            ((a -> f b) -> Digit a -> f (Digit b)
forall (t :: * -> *) (f :: * -> *) a b.
(Traversable t, Applicative f) =>
(a -> f b) -> t a -> f (t b)
traverse a -> f b
f Digit a
sf)

instance NFData a => NFData (FingerTree a) where
    rnf :: FingerTree a -> ()
rnf EmptyT = ()
    rnf (Single x :: a
x) = a -> ()
forall a. NFData a => a -> ()
rnf a
x
    rnf (Deep _ pr :: Digit a
pr m :: FingerTree (Node a)
m sf :: Digit a
sf) = Digit a -> ()
forall a. NFData a => a -> ()
rnf Digit a
pr () -> () -> ()
forall a b. a -> b -> b
`seq` Digit a -> ()
forall a. NFData a => a -> ()
rnf Digit a
sf () -> () -> ()
forall a b. a -> b -> b
`seq` FingerTree (Node a) -> ()
forall a. NFData a => a -> ()
rnf FingerTree (Node a)
m

{-# INLINE deep #-}
deep            :: Sized a => Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep :: Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep pr :: Digit a
pr m :: FingerTree (Node a)
m sf :: Digit a
sf    =  Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Digit a -> Int
forall a. Sized a => a -> Int
size Digit a
pr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node a) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node a)
m Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Digit a -> Int
forall a. Sized a => a -> Int
size Digit a
sf) Digit a
pr FingerTree (Node a)
m Digit a
sf

{-# INLINE pullL #-}
pullL :: Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL :: Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL s :: Int
s m :: FingerTree (Node a)
m sf :: Digit a
sf = case FingerTree (Node a) -> ViewLTree (Node a)
forall a. Sized a => FingerTree a -> ViewLTree a
viewLTree FingerTree (Node a)
m of
    EmptyLTree          -> Int -> Digit a -> FingerTree a
forall a. Int -> Digit a -> FingerTree a
digitToTree' Int
s Digit a
sf
    ConsLTree pr :: Node a
pr m' :: FingerTree (Node a)
m'     -> Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Digit a
forall a. Node a -> Digit a
nodeToDigit Node a
pr) FingerTree (Node a)
m' Digit a
sf

{-# INLINE pullR #-}
pullR :: Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR :: Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m = case FingerTree (Node a) -> ViewRTree (Node a)
forall a. Sized a => FingerTree a -> ViewRTree a
viewRTree FingerTree (Node a)
m of
    EmptyRTree          -> Int -> Digit a -> FingerTree a
forall a. Int -> Digit a -> FingerTree a
digitToTree' Int
s Digit a
pr
    SnocRTree m' :: FingerTree (Node a)
m' sf :: Node a
sf     -> Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s Digit a
pr FingerTree (Node a)
m' (Node a -> Digit a
forall a. Node a -> Digit a
nodeToDigit Node a
sf)

-- Digits

data Digit a
    = One a
    | Two a a
    | Three a a a
    | Four a a a a
#ifdef TESTING
    deriving Show
#endif

#ifdef __GLASGOW_HASKELL__
-- | @since 0.6.1
deriving instance Generic1 Digit

-- | @since 0.6.1
deriving instance Generic (Digit a)
#endif

foldDigit :: (b -> b -> b) -> (a -> b) -> Digit a -> b
foldDigit :: (b -> b -> b) -> (a -> b) -> Digit a -> b
foldDigit _     f :: a -> b
f (One a :: a
a) = a -> b
f a
a
foldDigit <+> :: b -> b -> b
(<+>) f :: a -> b
f (Two a :: a
a b :: a
b) = a -> b
f a
a b -> b -> b
<+> a -> b
f a
b
foldDigit <+> :: b -> b -> b
(<+>) f :: a -> b
f (Three a :: a
a b :: a
b c :: a
c) = a -> b
f a
a b -> b -> b
<+> a -> b
f a
b b -> b -> b
<+> a -> b
f a
c
foldDigit <+> :: b -> b -> b
(<+>) f :: a -> b
f (Four a :: a
a b :: a
b c :: a
c d :: a
d) = a -> b
f a
a b -> b -> b
<+> a -> b
f a
b b -> b -> b
<+> a -> b
f a
c b -> b -> b
<+> a -> b
f a
d
{-# INLINE foldDigit #-}

instance Foldable Digit where
    foldMap :: (a -> m) -> Digit a -> m
foldMap = (m -> m -> m) -> (a -> m) -> Digit a -> m
forall b a. (b -> b -> b) -> (a -> b) -> Digit a -> b
foldDigit m -> m -> m
forall a. Monoid a => a -> a -> a
mappend

    foldr :: (a -> b -> b) -> b -> Digit a -> b
foldr f :: a -> b -> b
f z :: b
z (One a :: a
a) = a
a a -> b -> b
`f` b
z
    foldr f :: a -> b -> b
f z :: b
z (Two a :: a
a b :: a
b) = a
a a -> b -> b
`f` (a
b a -> b -> b
`f` b
z)
    foldr f :: a -> b -> b
f z :: b
z (Three a :: a
a b :: a
b c :: a
c) = a
a a -> b -> b
`f` (a
b a -> b -> b
`f` (a
c a -> b -> b
`f` b
z))
    foldr f :: a -> b -> b
f z :: b
z (Four a :: a
a b :: a
b c :: a
c d :: a
d) = a
a a -> b -> b
`f` (a
b a -> b -> b
`f` (a
c a -> b -> b
`f` (a
d a -> b -> b
`f` b
z)))
    {-# INLINE foldr #-}

    foldl :: (b -> a -> b) -> b -> Digit a -> b
foldl f :: b -> a -> b
f z :: b
z (One a :: a
a) = b
z b -> a -> b
`f` a
a
    foldl f :: b -> a -> b
f z :: b
z (Two a :: a
a b :: a
b) = (b
z b -> a -> b
`f` a
a) b -> a -> b
`f` a
b
    foldl f :: b -> a -> b
f z :: b
z (Three a :: a
a b :: a
b c :: a
c) = ((b
z b -> a -> b
`f` a
a) b -> a -> b
`f` a
b) b -> a -> b
`f` a
c
    foldl f :: b -> a -> b
f z :: b
z (Four a :: a
a b :: a
b c :: a
c d :: a
d) = (((b
z b -> a -> b
`f` a
a) b -> a -> b
`f` a
b) b -> a -> b
`f` a
c) b -> a -> b
`f` a
d
    {-# INLINE foldl #-}

    foldr' :: (a -> b -> b) -> b -> Digit a -> b
foldr' f :: a -> b -> b
f z :: b
z (One a :: a
a) = a -> b -> b
f a
a b
z
    foldr' f :: a -> b -> b
f z :: b
z (Two a :: a
a b :: a
b) = a -> b -> b
f a
a (b -> b) -> b -> b
forall a b. (a -> b) -> a -> b
$! a -> b -> b
f a
b b
z
    foldr' f :: a -> b -> b
f z :: b
z (Three a :: a
a b :: a
b c :: a
c) = a -> b -> b
f a
a (b -> b) -> b -> b
forall a b. (a -> b) -> a -> b
$! a -> b -> b
f a
b (b -> b) -> b -> b
forall a b. (a -> b) -> a -> b
$! a -> b -> b
f a
c b
z
    foldr' f :: a -> b -> b
f z :: b
z (Four a :: a
a b :: a
b c :: a
c d :: a
d) = a -> b -> b
f a
a (b -> b) -> b -> b
forall a b. (a -> b) -> a -> b
$! a -> b -> b
f a
b (b -> b) -> b -> b
forall a b. (a -> b) -> a -> b
$! a -> b -> b
f a
c (b -> b) -> b -> b
forall a b. (a -> b) -> a -> b
$! a -> b -> b
f a
d b
z
    {-# INLINE foldr' #-}

    foldl' :: (b -> a -> b) -> b -> Digit a -> b
foldl' f :: b -> a -> b
f z :: b
z (One a :: a
a) = b -> a -> b
f b
z a
a
    foldl' f :: b -> a -> b
f z :: b
z (Two a :: a
a b :: a
b) = (b -> a -> b
f (b -> a -> b) -> b -> a -> b
forall a b. (a -> b) -> a -> b
$! b -> a -> b
f b
z a
a) a
b
    foldl' f :: b -> a -> b
f z :: b
z (Three a :: a
a b :: a
b c :: a
c) = (b -> a -> b
f (b -> a -> b) -> b -> a -> b
forall a b. (a -> b) -> a -> b
$! (b -> a -> b
f (b -> a -> b) -> b -> a -> b
forall a b. (a -> b) -> a -> b
$! b -> a -> b
f b
z a
a) a
b) a
c
    foldl' f :: b -> a -> b
f z :: b
z (Four a :: a
a b :: a
b c :: a
c d :: a
d) = (b -> a -> b
f (b -> a -> b) -> b -> a -> b
forall a b. (a -> b) -> a -> b
$! (b -> a -> b
f (b -> a -> b) -> b -> a -> b
forall a b. (a -> b) -> a -> b
$! (b -> a -> b
f (b -> a -> b) -> b -> a -> b
forall a b. (a -> b) -> a -> b
$! b -> a -> b
f b
z a
a) a
b) a
c) a
d
    {-# INLINE foldl' #-}

    foldr1 :: (a -> a -> a) -> Digit a -> a
foldr1 _ (One a :: a
a) = a
a
    foldr1 f :: a -> a -> a
f (Two a :: a
a b :: a
b) = a
a a -> a -> a
`f` a
b
    foldr1 f :: a -> a -> a
f (Three a :: a
a b :: a
b c :: a
c) = a
a a -> a -> a
`f` (a
b a -> a -> a
`f` a
c)
    foldr1 f :: a -> a -> a
f (Four a :: a
a b :: a
b c :: a
c d :: a
d) = a
a a -> a -> a
`f` (a
b a -> a -> a
`f` (a
c a -> a -> a
`f` a
d))

    foldl1 :: (a -> a -> a) -> Digit a -> a
foldl1 _ (One a :: a
a) = a
a
    foldl1 f :: a -> a -> a
f (Two a :: a
a b :: a
b) = a
a a -> a -> a
`f` a
b
    foldl1 f :: a -> a -> a
f (Three a :: a
a b :: a
b c :: a
c) = (a
a a -> a -> a
`f` a
b) a -> a -> a
`f` a
c
    foldl1 f :: a -> a -> a
f (Four a :: a
a b :: a
b c :: a
c d :: a
d) = ((a
a a -> a -> a
`f` a
b) a -> a -> a
`f` a
c) a -> a -> a
`f` a
d

instance Functor Digit where
    {-# INLINE fmap #-}
    fmap :: (a -> b) -> Digit a -> Digit b
fmap f :: a -> b
f (One a :: a
a) = b -> Digit b
forall a. a -> Digit a
One (a -> b
f a
a)
    fmap f :: a -> b
f (Two a :: a
a b :: a
b) = b -> b -> Digit b
forall a. a -> a -> Digit a
Two (a -> b
f a
a) (a -> b
f a
b)
    fmap f :: a -> b
f (Three a :: a
a b :: a
b c :: a
c) = b -> b -> b -> Digit b
forall a. a -> a -> a -> Digit a
Three (a -> b
f a
a) (a -> b
f a
b) (a -> b
f a
c)
    fmap f :: a -> b
f (Four a :: a
a b :: a
b c :: a
c d :: a
d) = b -> b -> b -> b -> Digit b
forall a. a -> a -> a -> a -> Digit a
Four (a -> b
f a
a) (a -> b
f a
b) (a -> b
f a
c) (a -> b
f a
d)

instance Traversable Digit where
    {-# INLINE traverse #-}
    traverse :: (a -> f b) -> Digit a -> f (Digit b)
traverse f :: a -> f b
f (One a :: a
a) = b -> Digit b
forall a. a -> Digit a
One (b -> Digit b) -> f b -> f (Digit b)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> a -> f b
f a
a
    traverse f :: a -> f b
f (Two a :: a
a b :: a
b) = (b -> b -> Digit b) -> f b -> f b -> f (Digit b)
forall (f :: * -> *) a b c.
Applicative f =>
(a -> b -> c) -> f a -> f b -> f c
liftA2 b -> b -> Digit b
forall a. a -> a -> Digit a
Two (a -> f b
f a
a) (a -> f b
f a
b)
    traverse f :: a -> f b
f (Three a :: a
a b :: a
b c :: a
c) = (b -> b -> b -> Digit b) -> f b -> f b -> f b -> f (Digit b)
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3 b -> b -> b -> Digit b
forall a. a -> a -> a -> Digit a
Three (a -> f b
f a
a) (a -> f b
f a
b) (a -> f b
f a
c)
    traverse f :: a -> f b
f (Four a :: a
a b :: a
b c :: a
c d :: a
d) = (b -> b -> b -> b -> Digit b)
-> f b -> f b -> f b -> f (b -> Digit b)
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3 b -> b -> b -> b -> Digit b
forall a. a -> a -> a -> a -> Digit a
Four (a -> f b
f a
a) (a -> f b
f a
b) (a -> f b
f a
c) f (b -> Digit b) -> f b -> f (Digit b)
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> a -> f b
f a
d

instance NFData a => NFData (Digit a) where
    rnf :: Digit a -> ()
rnf (One a :: a
a) = a -> ()
forall a. NFData a => a -> ()
rnf a
a
    rnf (Two a :: a
a b :: a
b) = a -> ()
forall a. NFData a => a -> ()
rnf a
a () -> () -> ()
forall a b. a -> b -> b
`seq` a -> ()
forall a. NFData a => a -> ()
rnf a
b
    rnf (Three a :: a
a b :: a
b c :: a
c) = a -> ()
forall a. NFData a => a -> ()
rnf a
a () -> () -> ()
forall a b. a -> b -> b
`seq` a -> ()
forall a. NFData a => a -> ()
rnf a
b () -> () -> ()
forall a b. a -> b -> b
`seq` a -> ()
forall a. NFData a => a -> ()
rnf a
c
    rnf (Four a :: a
a b :: a
b c :: a
c d :: a
d) = a -> ()
forall a. NFData a => a -> ()
rnf a
a () -> () -> ()
forall a b. a -> b -> b
`seq` a -> ()
forall a. NFData a => a -> ()
rnf a
b () -> () -> ()
forall a b. a -> b -> b
`seq` a -> ()
forall a. NFData a => a -> ()
rnf a
c () -> () -> ()
forall a b. a -> b -> b
`seq` a -> ()
forall a. NFData a => a -> ()
rnf a
d

instance Sized a => Sized (Digit a) where
    {-# INLINE size #-}
    size :: Digit a -> Int
size = (Int -> Int -> Int) -> Digit Int -> Int
forall (t :: * -> *) a. Foldable t => (a -> a -> a) -> t a -> a
foldl1 Int -> Int -> Int
forall a. Num a => a -> a -> a
(+) (Digit Int -> Int) -> (Digit a -> Digit Int) -> Digit a -> Int
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (a -> Int) -> Digit a -> Digit Int
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> Int
forall a. Sized a => a -> Int
size

{-# SPECIALIZE digitToTree :: Digit (Elem a) -> FingerTree (Elem a) #-}
{-# SPECIALIZE digitToTree :: Digit (Node a) -> FingerTree (Node a) #-}
digitToTree     :: Sized a => Digit a -> FingerTree a
digitToTree :: Digit a -> FingerTree a
digitToTree (One a :: a
a) = a -> FingerTree a
forall a. a -> FingerTree a
Single a
a
digitToTree (Two a :: a
a b :: a
b) = Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep (a -> Digit a
forall a. a -> Digit a
One a
a) FingerTree (Node a)
forall a. FingerTree a
EmptyT (a -> Digit a
forall a. a -> Digit a
One a
b)
digitToTree (Three a :: a
a b :: a
b c :: a
c) = Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b) FingerTree (Node a)
forall a. FingerTree a
EmptyT (a -> Digit a
forall a. a -> Digit a
One a
c)
digitToTree (Four a :: a
a b :: a
b c :: a
c d :: a
d) = Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b) FingerTree (Node a)
forall a. FingerTree a
EmptyT (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
c a
d)

-- | Given the size of a digit and the digit itself, efficiently converts
-- it to a FingerTree.
digitToTree' :: Int -> Digit a -> FingerTree a
digitToTree' :: Int -> Digit a -> FingerTree a
digitToTree' n :: Int
n (Four a :: a
a b :: a
b c :: a
c d :: a
d) = Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
n (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b) FingerTree (Node a)
forall a. FingerTree a
EmptyT (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
c a
d)
digitToTree' n :: Int
n (Three a :: a
a b :: a
b c :: a
c) = Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
n (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b) FingerTree (Node a)
forall a. FingerTree a
EmptyT (a -> Digit a
forall a. a -> Digit a
One a
c)
digitToTree' n :: Int
n (Two a :: a
a b :: a
b) = Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
n (a -> Digit a
forall a. a -> Digit a
One a
a) FingerTree (Node a)
forall a. FingerTree a
EmptyT (a -> Digit a
forall a. a -> Digit a
One a
b)
digitToTree' !Int
_n (One a :: a
a) = a -> FingerTree a
forall a. a -> FingerTree a
Single a
a

-- Nodes

data Node a
    = Node2 {-# UNPACK #-} !Int a a
    | Node3 {-# UNPACK #-} !Int a a a
#ifdef TESTING
    deriving Show
#endif

#ifdef __GLASGOW_HASKELL__
-- | @since 0.6.1
deriving instance Generic1 Node

-- | @since 0.6.1
deriving instance Generic (Node a)
#endif

foldNode :: (b -> b -> b) -> (a -> b) -> Node a -> b
foldNode :: (b -> b -> b) -> (a -> b) -> Node a -> b
foldNode <+> :: b -> b -> b
(<+>) f :: a -> b
f (Node2 _ a :: a
a b :: a
b) = a -> b
f a
a b -> b -> b
<+> a -> b
f a
b
foldNode <+> :: b -> b -> b
(<+>) f :: a -> b
f (Node3 _ a :: a
a b :: a
b c :: a
c) = a -> b
f a
a b -> b -> b
<+> a -> b
f a
b b -> b -> b
<+> a -> b
f a
c
{-# INLINE foldNode #-}

instance Foldable Node where
    foldMap :: (a -> m) -> Node a -> m
foldMap = (m -> m -> m) -> (a -> m) -> Node a -> m
forall b a. (b -> b -> b) -> (a -> b) -> Node a -> b
foldNode m -> m -> m
forall a. Monoid a => a -> a -> a
mappend

    foldr :: (a -> b -> b) -> b -> Node a -> b
foldr f :: a -> b -> b
f z :: b
z (Node2 _ a :: a
a b :: a
b) = a
a a -> b -> b
`f` (a
b a -> b -> b
`f` b
z)
    foldr f :: a -> b -> b
f z :: b
z (Node3 _ a :: a
a b :: a
b c :: a
c) = a
a a -> b -> b
`f` (a
b a -> b -> b
`f` (a
c a -> b -> b
`f` b
z))
    {-# INLINE foldr #-}

    foldl :: (b -> a -> b) -> b -> Node a -> b
foldl f :: b -> a -> b
f z :: b
z (Node2 _ a :: a
a b :: a
b) = (b
z b -> a -> b
`f` a
a) b -> a -> b
`f` a
b
    foldl f :: b -> a -> b
f z :: b
z (Node3 _ a :: a
a b :: a
b c :: a
c) = ((b
z b -> a -> b
`f` a
a) b -> a -> b
`f` a
b) b -> a -> b
`f` a
c
    {-# INLINE foldl #-}

    foldr' :: (a -> b -> b) -> b -> Node a -> b
foldr' f :: a -> b -> b
f z :: b
z (Node2 _ a :: a
a b :: a
b) = a -> b -> b
f a
a (b -> b) -> b -> b
forall a b. (a -> b) -> a -> b
$! a -> b -> b
f a
b b
z
    foldr' f :: a -> b -> b
f z :: b
z (Node3 _ a :: a
a b :: a
b c :: a
c) = a -> b -> b
f a
a (b -> b) -> b -> b
forall a b. (a -> b) -> a -> b
$! a -> b -> b
f a
b (b -> b) -> b -> b
forall a b. (a -> b) -> a -> b
$! a -> b -> b
f a
c b
z
    {-# INLINE foldr' #-}

    foldl' :: (b -> a -> b) -> b -> Node a -> b
foldl' f :: b -> a -> b
f z :: b
z (Node2 _ a :: a
a b :: a
b) = (b -> a -> b
f (b -> a -> b) -> b -> a -> b
forall a b. (a -> b) -> a -> b
$! b -> a -> b
f b
z a
a) a
b
    foldl' f :: b -> a -> b
f z :: b
z (Node3 _ a :: a
a b :: a
b c :: a
c) = (b -> a -> b
f (b -> a -> b) -> b -> a -> b
forall a b. (a -> b) -> a -> b
$! (b -> a -> b
f (b -> a -> b) -> b -> a -> b
forall a b. (a -> b) -> a -> b
$! b -> a -> b
f b
z a
a) a
b) a
c
    {-# INLINE foldl' #-}

instance Functor Node where
    {-# INLINE fmap #-}
    fmap :: (a -> b) -> Node a -> Node b
fmap f :: a -> b
f (Node2 v :: Int
v a :: a
a b :: a
b) = Int -> b -> b -> Node b
forall a. Int -> a -> a -> Node a
Node2 Int
v (a -> b
f a
a) (a -> b
f a
b)
    fmap f :: a -> b
f (Node3 v :: Int
v a :: a
a b :: a
b c :: a
c) = Int -> b -> b -> b -> Node b
forall a. Int -> a -> a -> a -> Node a
Node3 Int
v (a -> b
f a
a) (a -> b
f a
b) (a -> b
f a
c)

instance Traversable Node where
    {-# INLINE traverse #-}
    traverse :: (a -> f b) -> Node a -> f (Node b)
traverse f :: a -> f b
f (Node2 v :: Int
v a :: a
a b :: a
b) = (b -> b -> Node b) -> f b -> f b -> f (Node b)
forall (f :: * -> *) a b c.
Applicative f =>
(a -> b -> c) -> f a -> f b -> f c
liftA2 (Int -> b -> b -> Node b
forall a. Int -> a -> a -> Node a
Node2 Int
v) (a -> f b
f a
a) (a -> f b
f a
b)
    traverse f :: a -> f b
f (Node3 v :: Int
v a :: a
a b :: a
b c :: a
c) = (b -> b -> b -> Node b) -> f b -> f b -> f b -> f (Node b)
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3 (Int -> b -> b -> b -> Node b
forall a. Int -> a -> a -> a -> Node a
Node3 Int
v) (a -> f b
f a
a) (a -> f b
f a
b) (a -> f b
f a
c)

instance NFData a => NFData (Node a) where
    rnf :: Node a -> ()
rnf (Node2 _ a :: a
a b :: a
b) = a -> ()
forall a. NFData a => a -> ()
rnf a
a () -> () -> ()
forall a b. a -> b -> b
`seq` a -> ()
forall a. NFData a => a -> ()
rnf a
b
    rnf (Node3 _ a :: a
a b :: a
b c :: a
c) = a -> ()
forall a. NFData a => a -> ()
rnf a
a () -> () -> ()
forall a b. a -> b -> b
`seq` a -> ()
forall a. NFData a => a -> ()
rnf a
b () -> () -> ()
forall a b. a -> b -> b
`seq` a -> ()
forall a. NFData a => a -> ()
rnf a
c

instance Sized (Node a) where
    size :: Node a -> Int
size (Node2 v :: Int
v _ _)      = Int
v
    size (Node3 v :: Int
v _ _ _)    = Int
v

{-# INLINE node2 #-}
node2           :: Sized a => a -> a -> Node a
node2 :: a -> a -> Node a
node2 a :: a
a b :: a
b       =  Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (a -> Int
forall a. Sized a => a -> Int
size a
a Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b) a
a a
b

{-# INLINE node3 #-}
node3           :: Sized a => a -> a -> a -> Node a
node3 :: a -> a -> a -> Node a
node3 a :: a
a b :: a
b c :: a
c     =  Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (a -> Int
forall a. Sized a => a -> Int
size a
a Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
c) a
a a
b a
c

nodeToDigit :: Node a -> Digit a
nodeToDigit :: Node a -> Digit a
nodeToDigit (Node2 _ a :: a
a b :: a
b) = a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b
nodeToDigit (Node3 _ a :: a
a b :: a
b c :: a
c) = a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b a
c

-- Elements

newtype Elem a  =  Elem { Elem a -> a
getElem :: a }
#ifdef TESTING
    deriving Show
#endif

#ifdef __GLASGOW_HASKELL__
-- | @since 0.6.1
deriving instance Generic1 Elem

-- | @since 0.6.1
deriving instance Generic (Elem a)
#endif

instance Sized (Elem a) where
    size :: Elem a -> Int
size _ = 1

instance Functor Elem where
#if __GLASGOW_HASKELL__ >= 708
-- This cuts the time for <*> by around a fifth.
    fmap :: (a -> b) -> Elem a -> Elem b
fmap = (a -> b) -> Elem a -> Elem b
forall a b. Coercible a b => a -> b
coerce
#else
    fmap f (Elem x) = Elem (f x)
#endif

instance Foldable Elem where
    foldr :: (a -> b -> b) -> b -> Elem a -> b
foldr f :: a -> b -> b
f z :: b
z (Elem x :: a
x) = a -> b -> b
f a
x b
z
#if __GLASGOW_HASKELL__ >= 708
    foldMap :: (a -> m) -> Elem a -> m
foldMap = (a -> m) -> Elem a -> m
forall a b. Coercible a b => a -> b
coerce
    foldl :: (b -> a -> b) -> b -> Elem a -> b
foldl = (b -> a -> b) -> b -> Elem a -> b
forall a b. Coercible a b => a -> b
coerce
    foldl' :: (b -> a -> b) -> b -> Elem a -> b
foldl' = (b -> a -> b) -> b -> Elem a -> b
forall a b. Coercible a b => a -> b
coerce
#else
    foldMap f (Elem x) = f x
    foldl f z (Elem x) = f z x
    foldl' f z (Elem x) = f z x
#endif

instance Traversable Elem where
    traverse :: (a -> f b) -> Elem a -> f (Elem b)
traverse f :: a -> f b
f (Elem x :: a
x) = b -> Elem b
forall a. a -> Elem a
Elem (b -> Elem b) -> f b -> f (Elem b)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> a -> f b
f a
x

instance NFData a => NFData (Elem a) where
    rnf :: Elem a -> ()
rnf (Elem x :: a
x) = a -> ()
forall a. NFData a => a -> ()
rnf a
x

-------------------------------------------------------
-- Applicative construction
-------------------------------------------------------
#if !MIN_VERSION_base(4,8,0)
newtype Identity a = Identity {runIdentity :: a}

instance Functor Identity where
    fmap f (Identity x) = Identity (f x)

instance Applicative Identity where
    pure = Identity
    Identity f <*> Identity x = Identity (f x)
#endif

-- | 'applicativeTree' takes an Applicative-wrapped construction of a
-- piece of a FingerTree, assumed to always have the same size (which
-- is put in the second argument), and replicates it as many times as
-- specified.  This is a generalization of 'replicateA', which itself
-- is a generalization of many Data.Sequence methods.
{-# SPECIALIZE applicativeTree :: Int -> Int -> State s a -> State s (FingerTree a) #-}
{-# SPECIALIZE applicativeTree :: Int -> Int -> Identity a -> Identity (FingerTree a) #-}
-- Special note: the Identity specialization automatically does node sharing,
-- reducing memory usage of the resulting tree to /O(log n)/.
applicativeTree :: Applicative f => Int -> Int -> f a -> f (FingerTree a)
applicativeTree :: Int -> Int -> f a -> f (FingerTree a)
applicativeTree n :: Int
n !Int
mSize m :: f a
m = case Int
n of
    0 -> FingerTree a -> f (FingerTree a)
forall (f :: * -> *) a. Applicative f => a -> f a
pure FingerTree a
forall a. FingerTree a
EmptyT
    1 -> (a -> FingerTree a) -> f a -> f (FingerTree a)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> FingerTree a
forall a. a -> FingerTree a
Single f a
m
    2 -> f (Digit a)
-> f (FingerTree (Node a)) -> f (Digit a) -> f (FingerTree a)
deepA f (Digit a)
one f (FingerTree (Node a))
forall a. f (FingerTree a)
emptyTree f (Digit a)
one
    3 -> f (Digit a)
-> f (FingerTree (Node a)) -> f (Digit a) -> f (FingerTree a)
deepA f (Digit a)
two f (FingerTree (Node a))
forall a. f (FingerTree a)
emptyTree f (Digit a)
one
    4 -> f (Digit a)
-> f (FingerTree (Node a)) -> f (Digit a) -> f (FingerTree a)
deepA f (Digit a)
two f (FingerTree (Node a))
forall a. f (FingerTree a)
emptyTree f (Digit a)
two
    5 -> f (Digit a)
-> f (FingerTree (Node a)) -> f (Digit a) -> f (FingerTree a)
deepA f (Digit a)
three f (FingerTree (Node a))
forall a. f (FingerTree a)
emptyTree f (Digit a)
two
    6 -> f (Digit a)
-> f (FingerTree (Node a)) -> f (Digit a) -> f (FingerTree a)
deepA f (Digit a)
three f (FingerTree (Node a))
forall a. f (FingerTree a)
emptyTree f (Digit a)
three
    _ -> case Int
n Int -> Int -> (Int, Int)
forall a. Integral a => a -> a -> (a, a)
`quotRem` 3 of
           (q :: Int
q,0) -> f (Digit a)
-> f (FingerTree (Node a)) -> f (Digit a) -> f (FingerTree a)
deepA f (Digit a)
three (Int -> Int -> f (Node a) -> f (FingerTree (Node a))
forall (f :: * -> *) a.
Applicative f =>
Int -> Int -> f a -> f (FingerTree a)
applicativeTree (Int
q Int -> Int -> Int
forall a. Num a => a -> a -> a
- 2) Int
mSize' f (Node a)
n3) f (Digit a)
three
           (q :: Int
q,1) -> f (Digit a)
-> f (FingerTree (Node a)) -> f (Digit a) -> f (FingerTree a)
deepA f (Digit a)
two (Int -> Int -> f (Node a) -> f (FingerTree (Node a))
forall (f :: * -> *) a.
Applicative f =>
Int -> Int -> f a -> f (FingerTree a)
applicativeTree (Int
q Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Int
mSize' f (Node a)
n3) f (Digit a)
two
           (q :: Int
q,_) -> f (Digit a)
-> f (FingerTree (Node a)) -> f (Digit a) -> f (FingerTree a)
deepA f (Digit a)
three (Int -> Int -> f (Node a) -> f (FingerTree (Node a))
forall (f :: * -> *) a.
Applicative f =>
Int -> Int -> f a -> f (FingerTree a)
applicativeTree (Int
q Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Int
mSize' f (Node a)
n3) f (Digit a)
two
      where !mSize' :: Int
mSize' = 3 Int -> Int -> Int
forall a. Num a => a -> a -> a
* Int
mSize
            n3 :: f (Node a)
n3 = (a -> a -> a -> Node a) -> f a -> f a -> f a -> f (Node a)
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3 (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
mSize') f a
m f a
m f a
m
  where
    one :: f (Digit a)
one = (a -> Digit a) -> f a -> f (Digit a)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> Digit a
forall a. a -> Digit a
One f a
m
    two :: f (Digit a)
two = (a -> a -> Digit a) -> f a -> f a -> f (Digit a)
forall (f :: * -> *) a b c.
Applicative f =>
(a -> b -> c) -> f a -> f b -> f c
liftA2 a -> a -> Digit a
forall a. a -> a -> Digit a
Two f a
m f a
m
    three :: f (Digit a)
three = (a -> a -> a -> Digit a) -> f a -> f a -> f a -> f (Digit a)
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3 a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three f a
m f a
m f a
m
    deepA :: f (Digit a)
-> f (FingerTree (Node a)) -> f (Digit a) -> f (FingerTree a)
deepA = (Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a)
-> f (Digit a)
-> f (FingerTree (Node a))
-> f (Digit a)
-> f (FingerTree a)
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3 (Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
n Int -> Int -> Int
forall a. Num a => a -> a -> a
* Int
mSize))
    emptyTree :: f (FingerTree a)
emptyTree = FingerTree a -> f (FingerTree a)
forall (f :: * -> *) a. Applicative f => a -> f a
pure FingerTree a
forall a. FingerTree a
EmptyT

------------------------------------------------------------------------
-- Construction
------------------------------------------------------------------------

-- | \( O(1) \). The empty sequence.
empty           :: Seq a
empty :: Seq a
empty           =  FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq FingerTree (Elem a)
forall a. FingerTree a
EmptyT

-- | \( O(1) \). A singleton sequence.
singleton       :: a -> Seq a
singleton :: a -> Seq a
singleton x :: a
x     =  FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (Elem a -> FingerTree (Elem a)
forall a. a -> FingerTree a
Single (a -> Elem a
forall a. a -> Elem a
Elem a
x))

-- | \( O(\log n) \). @replicate n x@ is a sequence consisting of @n@ copies of @x@.
replicate       :: Int -> a -> Seq a
replicate :: Int -> a -> Seq a
replicate n :: Int
n x :: a
x
  | Int
n Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
>= 0      = Identity (Seq a) -> Seq a
forall a. Identity a -> a
runIdentity (Int -> Identity a -> Identity (Seq a)
forall (f :: * -> *) a. Applicative f => Int -> f a -> f (Seq a)
replicateA Int
n (a -> Identity a
forall a. a -> Identity a
Identity a
x))
  | Bool
otherwise   = [Char] -> Seq a
forall a. HasCallStack => [Char] -> a
error "replicate takes a nonnegative integer argument"

-- | 'replicateA' is an 'Applicative' version of 'replicate', and makes
-- \( O(\log n) \) calls to 'liftA2' and 'pure'.
--
-- > replicateA n x = sequenceA (replicate n x)
replicateA :: Applicative f => Int -> f a -> f (Seq a)
replicateA :: Int -> f a -> f (Seq a)
replicateA n :: Int
n x :: f a
x
  | Int
n Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
>= 0      = FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem a) -> Seq a)
-> f (FingerTree (Elem a)) -> f (Seq a)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Int -> Int -> f (Elem a) -> f (FingerTree (Elem a))
forall (f :: * -> *) a.
Applicative f =>
Int -> Int -> f a -> f (FingerTree a)
applicativeTree Int
n 1 (a -> Elem a
forall a. a -> Elem a
Elem (a -> Elem a) -> f a -> f (Elem a)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> f a
x)
  | Bool
otherwise   = [Char] -> f (Seq a)
forall a. HasCallStack => [Char] -> a
error "replicateA takes a nonnegative integer argument"
{-# SPECIALIZE replicateA :: Int -> State a b -> State a (Seq b) #-}

-- | 'replicateM' is a sequence counterpart of 'Control.Monad.replicateM'.
--
-- > replicateM n x = sequence (replicate n x)
--
-- For @base >= 4.8.0@ and @containers >= 0.5.11@, 'replicateM'
-- is a synonym for 'replicateA'.
#if MIN_VERSION_base(4,8,0)
replicateM :: Applicative m => Int -> m a -> m (Seq a)
replicateM :: Int -> m a -> m (Seq a)
replicateM = Int -> m a -> m (Seq a)
forall (f :: * -> *) a. Applicative f => Int -> f a -> f (Seq a)
replicateA
#else
replicateM :: Monad m => Int -> m a -> m (Seq a)
replicateM n x
  | n >= 0      = Applicative.unwrapMonad (replicateA n (Applicative.WrapMonad x))
  | otherwise   = error "replicateM takes a nonnegative integer argument"
#endif

-- | /O(/log/ k)/. @'cycleTaking' k xs@ forms a sequence of length @k@ by
-- repeatedly concatenating @xs@ with itself. @xs@ may only be empty if
-- @k@ is 0.
--
-- prop> cycleTaking k = fromList . take k . cycle . toList

-- If you wish to concatenate a possibly empty sequence @xs@ with
-- itself precisely @k@ times, use @'stimes' k xs@ instead of this
-- function.
--
-- @since 0.5.8
cycleTaking :: Int -> Seq a -> Seq a
cycleTaking :: Int -> Seq a -> Seq a
cycleTaking n :: Int
n !Seq a
_xs | Int
n Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
<= 0 = Seq a
forall a. Seq a
empty
cycleTaking _n :: Int
_n xs :: Seq a
xs  | Seq a -> Bool
forall a. Seq a -> Bool
null Seq a
xs = [Char] -> Seq a
forall a. HasCallStack => [Char] -> a
error "cycleTaking cannot take a positive number of elements from an empty cycle."
cycleTaking n :: Int
n xs :: Seq a
xs = Int -> Seq a -> Seq a
forall a. Int -> Seq a -> Seq a
cycleNTimes Int
reps Seq a
xs Seq a -> Seq a -> Seq a
forall a. Seq a -> Seq a -> Seq a
>< Int -> Seq a -> Seq a
forall a. Int -> Seq a -> Seq a
take Int
final Seq a
xs
  where
    (reps :: Int
reps, final :: Int
final) = Int
n Int -> Int -> (Int, Int)
forall a. Integral a => a -> a -> (a, a)
`quotRem` Seq a -> Int
forall a. Seq a -> Int
length Seq a
xs

-- \( O(\log(kn)) \). @'cycleNTimes' k xs@ concatenates @k@ copies of @xs@. This
-- operation uses time and additional space logarithmic in the size of its
-- result.
cycleNTimes :: Int -> Seq a -> Seq a
cycleNTimes :: Int -> Seq a -> Seq a
cycleNTimes n :: Int
n !Seq a
xs
  | Int
n Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
<= 0    = Seq a
forall a. Seq a
empty
  | Int
n Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== 1    = Seq a
xs
cycleNTimes n :: Int
n (Seq xsFT :: FingerTree (Elem a)
xsFT) = case FingerTree (Elem a) -> Rigidified (Elem a)
forall a. FingerTree (Elem a) -> Rigidified (Elem a)
rigidify FingerTree (Elem a)
xsFT of
             RigidEmpty -> Seq a
forall a. Seq a
empty
             RigidOne (Elem x :: a
x) -> Int -> a -> Seq a
forall a. Int -> a -> Seq a
replicate Int
n a
x
             RigidTwo x1 :: Elem a
x1 x2 :: Elem a
x2 -> FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem a) -> Seq a) -> FingerTree (Elem a) -> Seq a
forall a b. (a -> b) -> a -> b
$
               Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
nInt -> Int -> Int
forall a. Num a => a -> a -> a
*2) Digit (Elem a)
pair
                    (Identity (FingerTree (Node (Elem a))) -> FingerTree (Node (Elem a))
forall a. Identity a -> a
runIdentity (Identity (FingerTree (Node (Elem a)))
 -> FingerTree (Node (Elem a)))
-> Identity (FingerTree (Node (Elem a)))
-> FingerTree (Node (Elem a))
forall a b. (a -> b) -> a -> b
$ Int
-> Int
-> Identity (Node (Elem a))
-> Identity (FingerTree (Node (Elem a)))
forall (f :: * -> *) a.
Applicative f =>
Int -> Int -> f a -> f (FingerTree a)
applicativeTree (Int
nInt -> Int -> Int
forall a. Num a => a -> a -> a
-2) 2 (Node (Elem a) -> Identity (Node (Elem a))
forall a. a -> Identity a
Identity (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
x1 Elem a
x2)))
                    Digit (Elem a)
pair
               where pair :: Digit (Elem a)
pair = Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
x1 Elem a
x2
             RigidThree x1 :: Elem a
x1 x2 :: Elem a
x2 x3 :: Elem a
x3 -> FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem a) -> Seq a) -> FingerTree (Elem a) -> Seq a
forall a b. (a -> b) -> a -> b
$
               Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
nInt -> Int -> Int
forall a. Num a => a -> a -> a
*3) Digit (Elem a)
triple
                    (Identity (FingerTree (Node (Elem a))) -> FingerTree (Node (Elem a))
forall a. Identity a -> a
runIdentity (Identity (FingerTree (Node (Elem a)))
 -> FingerTree (Node (Elem a)))
-> Identity (FingerTree (Node (Elem a)))
-> FingerTree (Node (Elem a))
forall a b. (a -> b) -> a -> b
$ Int
-> Int
-> Identity (Node (Elem a))
-> Identity (FingerTree (Node (Elem a)))
forall (f :: * -> *) a.
Applicative f =>
Int -> Int -> f a -> f (FingerTree a)
applicativeTree (Int
nInt -> Int -> Int
forall a. Num a => a -> a -> a
-2) 3 (Node (Elem a) -> Identity (Node (Elem a))
forall a. a -> Identity a
Identity (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
x1 Elem a
x2 Elem a
x3)))
                    Digit (Elem a)
triple
               where triple :: Digit (Elem a)
triple = Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
x1 Elem a
x2 Elem a
x3
             RigidFull r :: Rigid (Elem a)
r@(Rigid s :: Int
s pr :: Node (Elem a)
pr _m :: Thin (Node (Elem a))
_m sf :: Node (Elem a)
sf) -> FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem a) -> Seq a) -> FingerTree (Elem a) -> Seq a
forall a b. (a -> b) -> a -> b
$
                   Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
nInt -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s)
                        (Node (Elem a) -> Digit (Elem a)
forall a. Node a -> Digit a
nodeToDigit Node (Elem a)
pr)
                        (Int -> Rigid (Elem a) -> FingerTree (Node (Elem a))
forall c. Int -> Rigid c -> FingerTree (Node c)
cycleNMiddle (Int
nInt -> Int -> Int
forall a. Num a => a -> a -> a
-2) Rigid (Elem a)
r)
                        (Node (Elem a) -> Digit (Elem a)
forall a. Node a -> Digit a
nodeToDigit Node (Elem a)
sf)

cycleNMiddle
  :: Int
     -> Rigid c
     -> FingerTree (Node c)

-- Not at the bottom yet

cycleNMiddle :: Int -> Rigid c -> FingerTree (Node c)
cycleNMiddle !Int
n
           (Rigid s :: Int
s pr :: Node c
pr (DeepTh sm :: Int
sm prm :: Digit12 (Node c)
prm mm :: Thin (Node (Node c))
mm sfm :: Digit12 (Node c)
sfm) sf :: Node c
sf)
    = Int
-> Digit (Node c)
-> FingerTree (Node (Node c))
-> Digit (Node c)
-> FingerTree (Node c)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
sm Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
* (Int
n Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1)) -- note: sm = s - size pr - size sf
           (Digit12 (Node c) -> Digit (Node c)
forall a. Digit12 a -> Digit a
digit12ToDigit Digit12 (Node c)
prm)
           (Int -> Rigid (Node c) -> FingerTree (Node (Node c))
forall c. Int -> Rigid c -> FingerTree (Node c)
cycleNMiddle Int
n
                       (Int
-> Node (Node c)
-> Thin (Node (Node c))
-> Node (Node c)
-> Rigid (Node c)
forall a.
Int -> Digit23 a -> Thin (Digit23 a) -> Digit23 a -> Rigid a
Rigid Int
s (Node c -> Digit12 (Node c) -> Node (Node c)
forall a. Digit23 a -> Digit12 (Digit23 a) -> Digit23 (Digit23 a)
squashL Node c
pr Digit12 (Node c)
prm) Thin (Node (Node c))
mm (Digit12 (Node c) -> Node c -> Node (Node c)
forall a. Digit12 (Node a) -> Node a -> Digit23 (Node a)
squashR Digit12 (Node c)
sfm Node c
sf)))
           (Digit12 (Node c) -> Digit (Node c)
forall a. Digit12 a -> Digit a
digit12ToDigit Digit12 (Node c)
sfm)

-- At the bottom

cycleNMiddle n :: Int
n
           (Rigid s :: Int
s pr :: Node c
pr EmptyTh sf :: Node c
sf)
     = Digit (Node c)
-> FingerTree (Node (Node c))
-> Digit (Node c)
-> FingerTree (Node c)
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep
            (Node c -> Digit (Node c)
forall a. a -> Digit a
One Node c
sf)
            (Identity (FingerTree (Node (Node c))) -> FingerTree (Node (Node c))
forall a. Identity a -> a
runIdentity (Identity (FingerTree (Node (Node c)))
 -> FingerTree (Node (Node c)))
-> Identity (FingerTree (Node (Node c)))
-> FingerTree (Node (Node c))
forall a b. (a -> b) -> a -> b
$ Int
-> Int
-> Identity (Node (Node c))
-> Identity (FingerTree (Node (Node c)))
forall (f :: * -> *) a.
Applicative f =>
Int -> Int -> f a -> f (FingerTree a)
applicativeTree Int
n Int
s (Node (Node c) -> Identity (Node (Node c))
forall a. a -> Identity a
Identity Node (Node c)
converted))
            (Node c -> Digit (Node c)
forall a. a -> Digit a
One Node c
pr)
   where converted :: Node (Node c)
converted = Node c -> Node c -> Node (Node c)
forall a. Sized a => a -> a -> Node a
node2 Node c
pr Node c
sf

cycleNMiddle n :: Int
n
           (Rigid s :: Int
s pr :: Node c
pr (SingleTh q :: Node c
q) sf :: Node c
sf)
     = Digit (Node c)
-> FingerTree (Node (Node c))
-> Digit (Node c)
-> FingerTree (Node c)
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep
            (Node c -> Node c -> Digit (Node c)
forall a. a -> a -> Digit a
Two Node c
q Node c
sf)
            (Identity (FingerTree (Node (Node c))) -> FingerTree (Node (Node c))
forall a. Identity a -> a
runIdentity (Identity (FingerTree (Node (Node c)))
 -> FingerTree (Node (Node c)))
-> Identity (FingerTree (Node (Node c)))
-> FingerTree (Node (Node c))
forall a b. (a -> b) -> a -> b
$ Int
-> Int
-> Identity (Node (Node c))
-> Identity (FingerTree (Node (Node c)))
forall (f :: * -> *) a.
Applicative f =>
Int -> Int -> f a -> f (FingerTree a)
applicativeTree Int
n Int
s (Node (Node c) -> Identity (Node (Node c))
forall a. a -> Identity a
Identity Node (Node c)
converted))
            (Node c -> Node c -> Digit (Node c)
forall a. a -> a -> Digit a
Two Node c
pr Node c
q)
   where converted :: Node (Node c)
converted = Node c -> Node c -> Node c -> Node (Node c)
forall a. Sized a => a -> a -> a -> Node a
node3 Node c
pr Node c
q Node c
sf


-- | \( O(1) \). Add an element to the left end of a sequence.
-- Mnemonic: a triangle with the single element at the pointy end.
(<|)            :: a -> Seq a -> Seq a
x :: a
x <| :: a -> Seq a -> Seq a
<| Seq xs :: FingerTree (Elem a)
xs     =  FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (a -> Elem a
forall a. a -> Elem a
Elem a
x Elem a -> FingerTree (Elem a) -> FingerTree (Elem a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` FingerTree (Elem a)
xs)

{-# SPECIALIZE consTree :: Elem a -> FingerTree (Elem a) -> FingerTree (Elem a) #-}
{-# SPECIALIZE consTree :: Node a -> FingerTree (Node a) -> FingerTree (Node a) #-}
consTree        :: Sized a => a -> FingerTree a -> FingerTree a
consTree :: a -> FingerTree a -> FingerTree a
consTree a :: a
a EmptyT       = a -> FingerTree a
forall a. a -> FingerTree a
Single a
a
consTree a :: a
a (Single b :: a
b)   = Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep (a -> Digit a
forall a. a -> Digit a
One a
a) FingerTree (Node a)
forall a. FingerTree a
EmptyT (a -> Digit a
forall a. a -> Digit a
One a
b)
-- As described in the paper, we force the middle of a tree
-- *before* consing onto it; this preserves the amortized
-- bounds but prevents repeated consing from building up
-- gigantic suspensions.
consTree a :: a
a (Deep s :: Int
s (Four b :: a
b c :: a
c d :: a
d e :: a
e) m :: FingerTree (Node a)
m sf :: Digit a
sf) = FingerTree (Node a)
m FingerTree (Node a) -> FingerTree a -> FingerTree a
forall a b. a -> b -> b
`seq`
    Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (a -> Int
forall a. Sized a => a -> Int
size a
a Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b) (a -> a -> a -> Node a
forall a. Sized a => a -> a -> a -> Node a
node3 a
c a
d a
e Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` FingerTree (Node a)
m) Digit a
sf
consTree a :: a
a (Deep s :: Int
s (Three b :: a
b c :: a
c d :: a
d) m :: FingerTree (Node a)
m sf :: Digit a
sf) =
    Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (a -> Int
forall a. Sized a => a -> Int
size a
a Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s) (a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b a
c a
d) FingerTree (Node a)
m Digit a
sf
consTree a :: a
a (Deep s :: Int
s (Two b :: a
b c :: a
c) m :: FingerTree (Node a)
m sf :: Digit a
sf) =
    Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (a -> Int
forall a. Sized a => a -> Int
size a
a Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s) (a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b a
c) FingerTree (Node a)
m Digit a
sf
consTree a :: a
a (Deep s :: Int
s (One b :: a
b) m :: FingerTree (Node a)
m sf :: Digit a
sf) =
    Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (a -> Int
forall a. Sized a => a -> Int
size a
a Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b) FingerTree (Node a)
m Digit a
sf

cons' :: a -> Seq a -> Seq a
cons' :: a -> Seq a -> Seq a
cons' x :: a
x (Seq xs :: FingerTree (Elem a)
xs) = FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (a -> Elem a
forall a. a -> Elem a
Elem a
x Elem a -> FingerTree (Elem a) -> FingerTree (Elem a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree'` FingerTree (Elem a)
xs)

snoc' :: Seq a -> a -> Seq a
snoc' :: Seq a -> a -> Seq a
snoc' (Seq xs :: FingerTree (Elem a)
xs) x :: a
x = FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem a)
xs FingerTree (Elem a) -> Elem a -> FingerTree (Elem a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree'` a -> Elem a
forall a. a -> Elem a
Elem a
x)

{-# SPECIALIZE consTree' :: Elem a -> FingerTree (Elem a) -> FingerTree (Elem a) #-}
{-# SPECIALIZE consTree' :: Node a -> FingerTree (Node a) -> FingerTree (Node a) #-}
consTree'        :: Sized a => a -> FingerTree a -> FingerTree a
consTree' :: a -> FingerTree a -> FingerTree a
consTree' a :: a
a EmptyT       = a -> FingerTree a
forall a. a -> FingerTree a
Single a
a
consTree' a :: a
a (Single b :: a
b)   = Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep (a -> Digit a
forall a. a -> Digit a
One a
a) FingerTree (Node a)
forall a. FingerTree a
EmptyT (a -> Digit a
forall a. a -> Digit a
One a
b)
-- As described in the paper, we force the middle of a tree
-- *before* consing onto it; this preserves the amortized
-- bounds but prevents repeated consing from building up
-- gigantic suspensions.
consTree' a :: a
a (Deep s :: Int
s (Four b :: a
b c :: a
c d :: a
d e :: a
e) m :: FingerTree (Node a)
m sf :: Digit a
sf) =
    Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (a -> Int
forall a. Sized a => a -> Int
size a
a Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b) FingerTree (Node a)
m' Digit a
sf
  where !m' :: FingerTree (Node a)
m' = Node a
abc Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree'` FingerTree (Node a)
m
        !abc :: Node a
abc = a -> a -> a -> Node a
forall a. Sized a => a -> a -> a -> Node a
node3 a
c a
d a
e
consTree' a :: a
a (Deep s :: Int
s (Three b :: a
b c :: a
c d :: a
d) m :: FingerTree (Node a)
m sf :: Digit a
sf) =
    Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (a -> Int
forall a. Sized a => a -> Int
size a
a Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s) (a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b a
c a
d) FingerTree (Node a)
m Digit a
sf
consTree' a :: a
a (Deep s :: Int
s (Two b :: a
b c :: a
c) m :: FingerTree (Node a)
m sf :: Digit a
sf) =
    Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (a -> Int
forall a. Sized a => a -> Int
size a
a Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s) (a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b a
c) FingerTree (Node a)
m Digit a
sf
consTree' a :: a
a (Deep s :: Int
s (One b :: a
b) m :: FingerTree (Node a)
m sf :: Digit a
sf) =
    Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (a -> Int
forall a. Sized a => a -> Int
size a
a Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b) FingerTree (Node a)
m Digit a
sf

-- | \( O(1) \). Add an element to the right end of a sequence.
-- Mnemonic: a triangle with the single element at the pointy end.
(|>)            :: Seq a -> a -> Seq a
Seq xs :: FingerTree (Elem a)
xs |> :: Seq a -> a -> Seq a
|> x :: a
x     =  FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem a)
xs FingerTree (Elem a) -> Elem a -> FingerTree (Elem a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` a -> Elem a
forall a. a -> Elem a
Elem a
x)

{-# SPECIALIZE snocTree :: FingerTree (Elem a) -> Elem a -> FingerTree (Elem a) #-}
{-# SPECIALIZE snocTree :: FingerTree (Node a) -> Node a -> FingerTree (Node a) #-}
snocTree        :: Sized a => FingerTree a -> a -> FingerTree a
snocTree :: FingerTree a -> a -> FingerTree a
snocTree EmptyT a :: a
a       =  a -> FingerTree a
forall a. a -> FingerTree a
Single a
a
snocTree (Single a :: a
a) b :: a
b   =  Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep (a -> Digit a
forall a. a -> Digit a
One a
a) FingerTree (Node a)
forall a. FingerTree a
EmptyT (a -> Digit a
forall a. a -> Digit a
One a
b)
-- See note on `seq` in `consTree`.
snocTree (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m (Four a :: a
a b :: a
b c :: a
c d :: a
d)) e :: a
e = FingerTree (Node a)
m FingerTree (Node a) -> FingerTree a -> FingerTree a
forall a b. a -> b -> b
`seq`
    Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
e) Digit a
pr (FingerTree (Node a)
m FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` a -> a -> a -> Node a
forall a. Sized a => a -> a -> a -> Node a
node3 a
a a
b a
c) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
d a
e)
snocTree (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m (Three a :: a
a b :: a
b c :: a
c)) d :: a
d =
    Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
d) Digit a
pr FingerTree (Node a)
m (a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b a
c a
d)
snocTree (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m (Two a :: a
a b :: a
b)) c :: a
c =
    Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
c) Digit a
pr FingerTree (Node a)
m (a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b a
c)
snocTree (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m (One a :: a
a)) b :: a
b =
    Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b) Digit a
pr FingerTree (Node a)
m (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b)

{-# SPECIALIZE snocTree' :: FingerTree (Elem a) -> Elem a -> FingerTree (Elem a) #-}
{-# SPECIALIZE snocTree' :: FingerTree (Node a) -> Node a -> FingerTree (Node a) #-}
snocTree'        :: Sized a => FingerTree a -> a -> FingerTree a
snocTree' :: FingerTree a -> a -> FingerTree a
snocTree' EmptyT a :: a
a       =  a -> FingerTree a
forall a. a -> FingerTree a
Single a
a
snocTree' (Single a :: a
a) b :: a
b   =  Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep (a -> Digit a
forall a. a -> Digit a
One a
a) FingerTree (Node a)
forall a. FingerTree a
EmptyT (a -> Digit a
forall a. a -> Digit a
One a
b)
-- See note on `seq` in `consTree`.
snocTree' (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m (Four a :: a
a b :: a
b c :: a
c d :: a
d)) e :: a
e =
    Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
e) Digit a
pr FingerTree (Node a)
m' (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
d a
e)
  where !m' :: FingerTree (Node a)
m' = FingerTree (Node a)
m FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree'` Node a
abc
        !abc :: Node a
abc = a -> a -> a -> Node a
forall a. Sized a => a -> a -> a -> Node a
node3 a
a a
b a
c
snocTree' (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m (Three a :: a
a b :: a
b c :: a
c)) d :: a
d =
    Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
d) Digit a
pr FingerTree (Node a)
m (a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b a
c a
d)
snocTree' (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m (Two a :: a
a b :: a
b)) c :: a
c =
    Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
c) Digit a
pr FingerTree (Node a)
m (a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b a
c)
snocTree' (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m (One a :: a
a)) b :: a
b =
    Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b) Digit a
pr FingerTree (Node a)
m (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b)

-- | \( O(\log(\min(n_1,n_2))) \). Concatenate two sequences.
(><)            :: Seq a -> Seq a -> Seq a
Seq xs :: FingerTree (Elem a)
xs >< :: Seq a -> Seq a -> Seq a
>< Seq ys :: FingerTree (Elem a)
ys = FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem a) -> FingerTree (Elem a) -> FingerTree (Elem a)
forall a.
FingerTree (Elem a) -> FingerTree (Elem a) -> FingerTree (Elem a)
appendTree0 FingerTree (Elem a)
xs FingerTree (Elem a)
ys)

-- The appendTree/addDigits gunk below is machine generated

appendTree0 :: FingerTree (Elem a) -> FingerTree (Elem a) -> FingerTree (Elem a)
appendTree0 :: FingerTree (Elem a) -> FingerTree (Elem a) -> FingerTree (Elem a)
appendTree0 EmptyT xs :: FingerTree (Elem a)
xs =
    FingerTree (Elem a)
xs
appendTree0 xs :: FingerTree (Elem a)
xs EmptyT =
    FingerTree (Elem a)
xs
appendTree0 (Single x :: Elem a
x) xs :: FingerTree (Elem a)
xs =
    Elem a
x Elem a -> FingerTree (Elem a) -> FingerTree (Elem a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` FingerTree (Elem a)
xs
appendTree0 xs :: FingerTree (Elem a)
xs (Single x :: Elem a
x) =
    FingerTree (Elem a)
xs FingerTree (Elem a) -> Elem a -> FingerTree (Elem a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Elem a
x
appendTree0 (Deep s1 :: Int
s1 pr1 :: Digit (Elem a)
pr1 m1 :: FingerTree (Node (Elem a))
m1 sf1 :: Digit (Elem a)
sf1) (Deep s2 :: Int
s2 pr2 :: Digit (Elem a)
pr2 m2 :: FingerTree (Node (Elem a))
m2 sf2 :: Digit (Elem a)
sf2) =
    Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s1 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s2) Digit (Elem a)
pr1 FingerTree (Node (Elem a))
m Digit (Elem a)
sf2
  where !m :: FingerTree (Node (Elem a))
m = FingerTree (Node (Elem a))
-> Digit (Elem a)
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node (Elem a))
-> Digit (Elem a)
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
addDigits0 FingerTree (Node (Elem a))
m1 Digit (Elem a)
sf1 Digit (Elem a)
pr2 FingerTree (Node (Elem a))
m2

addDigits0 :: FingerTree (Node (Elem a)) -> Digit (Elem a) -> Digit (Elem a) -> FingerTree (Node (Elem a)) -> FingerTree (Node (Elem a))
addDigits0 :: FingerTree (Node (Elem a))
-> Digit (Elem a)
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
addDigits0 m1 :: FingerTree (Node (Elem a))
m1 (One a :: Elem a
a) (One b :: Elem a
b) m2 :: FingerTree (Node (Elem a))
m2 =
    FingerTree (Node (Elem a))
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node a)
-> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree1 FingerTree (Node (Elem a))
m1 (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
a Elem a
b) FingerTree (Node (Elem a))
m2
addDigits0 m1 :: FingerTree (Node (Elem a))
m1 (One a :: Elem a
a) (Two b :: Elem a
b c :: Elem a
c) m2 :: FingerTree (Node (Elem a))
m2 =
    FingerTree (Node (Elem a))
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node a)
-> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree1 FingerTree (Node (Elem a))
m1 (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
c) FingerTree (Node (Elem a))
m2
addDigits0 m1 :: FingerTree (Node (Elem a))
m1 (One a :: Elem a
a) (Three b :: Elem a
b c :: Elem a
c d :: Elem a
d) m2 :: FingerTree (Node (Elem a))
m2 =
    FingerTree (Node (Elem a))
-> Node (Elem a)
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Elem a))
m1 (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
a Elem a
b) (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
c Elem a
d) FingerTree (Node (Elem a))
m2
addDigits0 m1 :: FingerTree (Node (Elem a))
m1 (One a :: Elem a
a) (Four b :: Elem a
b c :: Elem a
c d :: Elem a
d e :: Elem a
e) m2 :: FingerTree (Node (Elem a))
m2 =
    FingerTree (Node (Elem a))
-> Node (Elem a)
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Elem a))
m1 (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
c) (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
d Elem a
e) FingerTree (Node (Elem a))
m2
addDigits0 m1 :: FingerTree (Node (Elem a))
m1 (Two a :: Elem a
a b :: Elem a
b) (One c :: Elem a
c) m2 :: FingerTree (Node (Elem a))
m2 =
    FingerTree (Node (Elem a))
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node a)
-> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree1 FingerTree (Node (Elem a))
m1 (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
c) FingerTree (Node (Elem a))
m2
addDigits0 m1 :: FingerTree (Node (Elem a))
m1 (Two a :: Elem a
a b :: Elem a
b) (Two c :: Elem a
c d :: Elem a
d) m2 :: FingerTree (Node (Elem a))
m2 =
    FingerTree (Node (Elem a))
-> Node (Elem a)
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Elem a))
m1 (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
a Elem a
b) (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
c Elem a
d) FingerTree (Node (Elem a))
m2
addDigits0 m1 :: FingerTree (Node (Elem a))
m1 (Two a :: Elem a
a b :: Elem a
b) (Three c :: Elem a
c d :: Elem a
d e :: Elem a
e) m2 :: FingerTree (Node (Elem a))
m2 =
    FingerTree (Node (Elem a))
-> Node (Elem a)
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Elem a))
m1 (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
c) (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
d Elem a
e) FingerTree (Node (Elem a))
m2
addDigits0 m1 :: FingerTree (Node (Elem a))
m1 (Two a :: Elem a
a b :: Elem a
b) (Four c :: Elem a
c d :: Elem a
d e :: Elem a
e f :: Elem a
f) m2 :: FingerTree (Node (Elem a))
m2 =
    FingerTree (Node (Elem a))
-> Node (Elem a)
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Elem a))
m1 (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
c) (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
d Elem a
e Elem a
f) FingerTree (Node (Elem a))
m2
addDigits0 m1 :: FingerTree (Node (Elem a))
m1 (Three a :: Elem a
a b :: Elem a
b c :: Elem a
c) (One d :: Elem a
d) m2 :: FingerTree (Node (Elem a))
m2 =
    FingerTree (Node (Elem a))
-> Node (Elem a)
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Elem a))
m1 (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
a Elem a
b) (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
c Elem a
d) FingerTree (Node (Elem a))
m2
addDigits0 m1 :: FingerTree (Node (Elem a))
m1 (Three a :: Elem a
a b :: Elem a
b c :: Elem a
c) (Two d :: Elem a
d e :: Elem a
e) m2 :: FingerTree (Node (Elem a))
m2 =
    FingerTree (Node (Elem a))
-> Node (Elem a)
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Elem a))
m1 (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
c) (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
d Elem a
e) FingerTree (Node (Elem a))
m2
addDigits0 m1 :: FingerTree (Node (Elem a))
m1 (Three a :: Elem a
a b :: Elem a
b c :: Elem a
c) (Three d :: Elem a
d e :: Elem a
e f :: Elem a
f) m2 :: FingerTree (Node (Elem a))
m2 =
    FingerTree (Node (Elem a))
-> Node (Elem a)
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Elem a))
m1 (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
c) (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
d Elem a
e Elem a
f) FingerTree (Node (Elem a))
m2
addDigits0 m1 :: FingerTree (Node (Elem a))
m1 (Three a :: Elem a
a b :: Elem a
b c :: Elem a
c) (Four d :: Elem a
d e :: Elem a
e f :: Elem a
f g :: Elem a
g) m2 :: FingerTree (Node (Elem a))
m2 =
    FingerTree (Node (Elem a))
-> Node (Elem a)
-> Node (Elem a)
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Elem a))
m1 (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
c) (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
d Elem a
e) (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
f Elem a
g) FingerTree (Node (Elem a))
m2
addDigits0 m1 :: FingerTree (Node (Elem a))
m1 (Four a :: Elem a
a b :: Elem a
b c :: Elem a
c d :: Elem a
d) (One e :: Elem a
e) m2 :: FingerTree (Node (Elem a))
m2 =
    FingerTree (Node (Elem a))
-> Node (Elem a)
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Elem a))
m1 (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
c) (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
d Elem a
e) FingerTree (Node (Elem a))
m2
addDigits0 m1 :: FingerTree (Node (Elem a))
m1 (Four a :: Elem a
a b :: Elem a
b c :: Elem a
c d :: Elem a
d) (Two e :: Elem a
e f :: Elem a
f) m2 :: FingerTree (Node (Elem a))
m2 =
    FingerTree (Node (Elem a))
-> Node (Elem a)
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Elem a))
m1 (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
c) (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
d Elem a
e Elem a
f) FingerTree (Node (Elem a))
m2
addDigits0 m1 :: FingerTree (Node (Elem a))
m1 (Four a :: Elem a
a b :: Elem a
b c :: Elem a
c d :: Elem a
d) (Three e :: Elem a
e f :: Elem a
f g :: Elem a
g) m2 :: FingerTree (Node (Elem a))
m2 =
    FingerTree (Node (Elem a))
-> Node (Elem a)
-> Node (Elem a)
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Elem a))
m1 (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
c) (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
d Elem a
e) (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
f Elem a
g) FingerTree (Node (Elem a))
m2
addDigits0 m1 :: FingerTree (Node (Elem a))
m1 (Four a :: Elem a
a b :: Elem a
b c :: Elem a
c d :: Elem a
d) (Four e :: Elem a
e f :: Elem a
f g :: Elem a
g h :: Elem a
h) m2 :: FingerTree (Node (Elem a))
m2 =
    FingerTree (Node (Elem a))
-> Node (Elem a)
-> Node (Elem a)
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Node (Elem a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Elem a))
m1 (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
a Elem a
b Elem a
c) (Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> a -> Node a
node3 Elem a
d Elem a
e Elem a
f) (Elem a -> Elem a -> Node (Elem a)
forall a. Sized a => a -> a -> Node a
node2 Elem a
g Elem a
h) FingerTree (Node (Elem a))
m2

appendTree1 :: FingerTree (Node a) -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree1 :: FingerTree (Node a)
-> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree1 EmptyT !Node a
a xs :: FingerTree (Node a)
xs =
    Node a
a Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` FingerTree (Node a)
xs
appendTree1 xs :: FingerTree (Node a)
xs !Node a
a EmptyT =
    FingerTree (Node a)
xs FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
a
appendTree1 (Single x :: Node a
x) !Node a
a xs :: FingerTree (Node a)
xs =
    Node a
x Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` Node a
a Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` FingerTree (Node a)
xs
appendTree1 xs :: FingerTree (Node a)
xs !Node a
a (Single x :: Node a
x) =
    FingerTree (Node a)
xs FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
a FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
x
appendTree1 (Deep s1 :: Int
s1 pr1 :: Digit (Node a)
pr1 m1 :: FingerTree (Node (Node a))
m1 sf1 :: Digit (Node a)
sf1) a :: Node a
a (Deep s2 :: Int
s2 pr2 :: Digit (Node a)
pr2 m2 :: FingerTree (Node (Node a))
m2 sf2 :: Digit (Node a)
sf2) =
    Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s1 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
a Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s2) Digit (Node a)
pr1 FingerTree (Node (Node a))
m Digit (Node a)
sf2
  where !m :: FingerTree (Node (Node a))
m = FingerTree (Node (Node a))
-> Digit (Node a)
-> Node a
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node (Node a))
-> Digit (Node a)
-> Node a
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
addDigits1 FingerTree (Node (Node a))
m1 Digit (Node a)
sf1 Node a
a Digit (Node a)
pr2 FingerTree (Node (Node a))
m2

addDigits1 :: FingerTree (Node (Node a)) -> Digit (Node a) -> Node a -> Digit (Node a) -> FingerTree (Node (Node a)) -> FingerTree (Node (Node a))
addDigits1 :: FingerTree (Node (Node a))
-> Digit (Node a)
-> Node a
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
addDigits1 m1 :: FingerTree (Node (Node a))
m1 (One a :: Node a
a) b :: Node a
b (One c :: Node a
c) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree1 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) FingerTree (Node (Node a))
m2
addDigits1 m1 :: FingerTree (Node (Node a))
m1 (One a :: Node a
a) b :: Node a
b (Two c :: Node a
c d :: Node a
d) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
a Node a
b) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
c Node a
d) FingerTree (Node (Node a))
m2
addDigits1 m1 :: FingerTree (Node (Node a))
m1 (One a :: Node a
a) b :: Node a
b (Three c :: Node a
c d :: Node a
d e :: Node a
e) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) FingerTree (Node (Node a))
m2
addDigits1 m1 :: FingerTree (Node (Node a))
m1 (One a :: Node a
a) b :: Node a
b (Four c :: Node a
c d :: Node a
d e :: Node a
e f :: Node a
f) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) FingerTree (Node (Node a))
m2
addDigits1 m1 :: FingerTree (Node (Node a))
m1 (Two a :: Node a
a b :: Node a
b) c :: Node a
c (One d :: Node a
d) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
a Node a
b) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
c Node a
d) FingerTree (Node (Node a))
m2
addDigits1 m1 :: FingerTree (Node (Node a))
m1 (Two a :: Node a
a b :: Node a
b) c :: Node a
c (Two d :: Node a
d e :: Node a
e) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) FingerTree (Node (Node a))
m2
addDigits1 m1 :: FingerTree (Node (Node a))
m1 (Two a :: Node a
a b :: Node a
b) c :: Node a
c (Three d :: Node a
d e :: Node a
e f :: Node a
f) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) FingerTree (Node (Node a))
m2
addDigits1 m1 :: FingerTree (Node (Node a))
m1 (Two a :: Node a
a b :: Node a
b) c :: Node a
c (Four d :: Node a
d e :: Node a
e f :: Node a
f g :: Node a
g) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
f Node a
g) FingerTree (Node (Node a))
m2
addDigits1 m1 :: FingerTree (Node (Node a))
m1 (Three a :: Node a
a b :: Node a
b c :: Node a
c) d :: Node a
d (One e :: Node a
e) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) FingerTree (Node (Node a))
m2
addDigits1 m1 :: FingerTree (Node (Node a))
m1 (Three a :: Node a
a b :: Node a
b c :: Node a
c) d :: Node a
d (Two e :: Node a
e f :: Node a
f) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) FingerTree (Node (Node a))
m2
addDigits1 m1 :: FingerTree (Node (Node a))
m1 (Three a :: Node a
a b :: Node a
b c :: Node a
c) d :: Node a
d (Three e :: Node a
e f :: Node a
f g :: Node a
g) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
f Node a
g) FingerTree (Node (Node a))
m2
addDigits1 m1 :: FingerTree (Node (Node a))
m1 (Three a :: Node a
a b :: Node a
b c :: Node a
c) d :: Node a
d (Four e :: Node a
e f :: Node a
f g :: Node a
g h :: Node a
h) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) FingerTree (Node (Node a))
m2
addDigits1 m1 :: FingerTree (Node (Node a))
m1 (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) e :: Node a
e (One f :: Node a
f) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) FingerTree (Node (Node a))
m2
addDigits1 m1 :: FingerTree (Node (Node a))
m1 (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) e :: Node a
e (Two f :: Node a
f g :: Node a
g) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
f Node a
g) FingerTree (Node (Node a))
m2
addDigits1 m1 :: FingerTree (Node (Node a))
m1 (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) e :: Node a
e (Three f :: Node a
f g :: Node a
g h :: Node a
h) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) FingerTree (Node (Node a))
m2
addDigits1 m1 :: FingerTree (Node (Node a))
m1 (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) e :: Node a
e (Four f :: Node a
f g :: Node a
g h :: Node a
h i :: Node a
i) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
g Node a
h Node a
i) FingerTree (Node (Node a))
m2

appendTree2 :: FingerTree (Node a) -> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 :: FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 EmptyT !Node a
a !Node a
b xs :: FingerTree (Node a)
xs =
    Node a
a Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` Node a
b Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` FingerTree (Node a)
xs
appendTree2 xs :: FingerTree (Node a)
xs !Node a
a !Node a
b EmptyT =
    FingerTree (Node a)
xs FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
a FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
b
appendTree2 (Single x :: Node a
x) a :: Node a
a b :: Node a
b xs :: FingerTree (Node a)
xs =
    Node a
x Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` Node a
a Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` Node a
b Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` FingerTree (Node a)
xs
appendTree2 xs :: FingerTree (Node a)
xs a :: Node a
a b :: Node a
b (Single x :: Node a
x) =
    FingerTree (Node a)
xs FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
a FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
b FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
x
appendTree2 (Deep s1 :: Int
s1 pr1 :: Digit (Node a)
pr1 m1 :: FingerTree (Node (Node a))
m1 sf1 :: Digit (Node a)
sf1) a :: Node a
a b :: Node a
b (Deep s2 :: Int
s2 pr2 :: Digit (Node a)
pr2 m2 :: FingerTree (Node (Node a))
m2 sf2 :: Digit (Node a)
sf2) =
    Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s1 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
a Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s2) Digit (Node a)
pr1 FingerTree (Node (Node a))
m Digit (Node a)
sf2
  where !m :: FingerTree (Node (Node a))
m = FingerTree (Node (Node a))
-> Digit (Node a)
-> Node a
-> Node a
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node (Node a))
-> Digit (Node a)
-> Node a
-> Node a
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
addDigits2 FingerTree (Node (Node a))
m1 Digit (Node a)
sf1 Node a
a Node a
b Digit (Node a)
pr2 FingerTree (Node (Node a))
m2

addDigits2 :: FingerTree (Node (Node a)) -> Digit (Node a) -> Node a -> Node a -> Digit (Node a) -> FingerTree (Node (Node a)) -> FingerTree (Node (Node a))
addDigits2 :: FingerTree (Node (Node a))
-> Digit (Node a)
-> Node a
-> Node a
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
addDigits2 m1 :: FingerTree (Node (Node a))
m1 (One a :: Node a
a) b :: Node a
b c :: Node a
c (One d :: Node a
d) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
a Node a
b) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
c Node a
d) FingerTree (Node (Node a))
m2
addDigits2 m1 :: FingerTree (Node (Node a))
m1 (One a :: Node a
a) b :: Node a
b c :: Node a
c (Two d :: Node a
d e :: Node a
e) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) FingerTree (Node (Node a))
m2
addDigits2 m1 :: FingerTree (Node (Node a))
m1 (One a :: Node a
a) b :: Node a
b c :: Node a
c (Three d :: Node a
d e :: Node a
e f :: Node a
f) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) FingerTree (Node (Node a))
m2
addDigits2 m1 :: FingerTree (Node (Node a))
m1 (One a :: Node a
a) b :: Node a
b c :: Node a
c (Four d :: Node a
d e :: Node a
e f :: Node a
f g :: Node a
g) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
f Node a
g) FingerTree (Node (Node a))
m2
addDigits2 m1 :: FingerTree (Node (Node a))
m1 (Two a :: Node a
a b :: Node a
b) c :: Node a
c d :: Node a
d (One e :: Node a
e) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) FingerTree (Node (Node a))
m2
addDigits2 m1 :: FingerTree (Node (Node a))
m1 (Two a :: Node a
a b :: Node a
b) c :: Node a
c d :: Node a
d (Two e :: Node a
e f :: Node a
f) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) FingerTree (Node (Node a))
m2
addDigits2 m1 :: FingerTree (Node (Node a))
m1 (Two a :: Node a
a b :: Node a
b) c :: Node a
c d :: Node a
d (Three e :: Node a
e f :: Node a
f g :: Node a
g) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
f Node a
g) FingerTree (Node (Node a))
m2
addDigits2 m1 :: FingerTree (Node (Node a))
m1 (Two a :: Node a
a b :: Node a
b) c :: Node a
c d :: Node a
d (Four e :: Node a
e f :: Node a
f g :: Node a
g h :: Node a
h) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) FingerTree (Node (Node a))
m2
addDigits2 m1 :: FingerTree (Node (Node a))
m1 (Three a :: Node a
a b :: Node a
b c :: Node a
c) d :: Node a
d e :: Node a
e (One f :: Node a
f) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) FingerTree (Node (Node a))
m2
addDigits2 m1 :: FingerTree (Node (Node a))
m1 (Three a :: Node a
a b :: Node a
b c :: Node a
c) d :: Node a
d e :: Node a
e (Two f :: Node a
f g :: Node a
g) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
f Node a
g) FingerTree (Node (Node a))
m2
addDigits2 m1 :: FingerTree (Node (Node a))
m1 (Three a :: Node a
a b :: Node a
b c :: Node a
c) d :: Node a
d e :: Node a
e (Three f :: Node a
f g :: Node a
g h :: Node a
h) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) FingerTree (Node (Node a))
m2
addDigits2 m1 :: FingerTree (Node (Node a))
m1 (Three a :: Node a
a b :: Node a
b c :: Node a
c) d :: Node a
d e :: Node a
e (Four f :: Node a
f g :: Node a
g h :: Node a
h i :: Node a
i) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
g Node a
h Node a
i) FingerTree (Node (Node a))
m2
addDigits2 m1 :: FingerTree (Node (Node a))
m1 (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) e :: Node a
e f :: Node a
f (One g :: Node a
g) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
f Node a
g) FingerTree (Node (Node a))
m2
addDigits2 m1 :: FingerTree (Node (Node a))
m1 (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) e :: Node a
e f :: Node a
f (Two g :: Node a
g h :: Node a
h) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) FingerTree (Node (Node a))
m2
addDigits2 m1 :: FingerTree (Node (Node a))
m1 (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) e :: Node a
e f :: Node a
f (Three g :: Node a
g h :: Node a
h i :: Node a
i) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
g Node a
h Node a
i) FingerTree (Node (Node a))
m2
addDigits2 m1 :: FingerTree (Node (Node a))
m1 (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) e :: Node a
e f :: Node a
f (Four g :: Node a
g h :: Node a
h i :: Node a
i j :: Node a
j) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree4 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
i Node a
j) FingerTree (Node (Node a))
m2

appendTree3 :: FingerTree (Node a) -> Node a -> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree3 :: FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 EmptyT !Node a
a !Node a
b !Node a
c xs :: FingerTree (Node a)
xs =
    Node a
a Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` Node a
b Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` Node a
c Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` FingerTree (Node a)
xs
appendTree3 xs :: FingerTree (Node a)
xs !Node a
a !Node a
b !Node a
c EmptyT =
    FingerTree (Node a)
xs FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
a FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
b FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
c
appendTree3 (Single x :: Node a
x) a :: Node a
a b :: Node a
b c :: Node a
c xs :: FingerTree (Node a)
xs =
    Node a
x Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` Node a
a Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` Node a
b Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` Node a
c Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` FingerTree (Node a)
xs
appendTree3 xs :: FingerTree (Node a)
xs a :: Node a
a b :: Node a
b c :: Node a
c (Single x :: Node a
x) =
    FingerTree (Node a)
xs FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
a FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
b FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
c FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
x
appendTree3 (Deep s1 :: Int
s1 pr1 :: Digit (Node a)
pr1 m1 :: FingerTree (Node (Node a))
m1 sf1 :: Digit (Node a)
sf1) a :: Node a
a b :: Node a
b c :: Node a
c (Deep s2 :: Int
s2 pr2 :: Digit (Node a)
pr2 m2 :: FingerTree (Node (Node a))
m2 sf2 :: Digit (Node a)
sf2) =
    Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s1 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
a Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
c Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s2) Digit (Node a)
pr1 FingerTree (Node (Node a))
m Digit (Node a)
sf2
  where !m :: FingerTree (Node (Node a))
m = FingerTree (Node (Node a))
-> Digit (Node a)
-> Node a
-> Node a
-> Node a
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node (Node a))
-> Digit (Node a)
-> Node a
-> Node a
-> Node a
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
addDigits3 FingerTree (Node (Node a))
m1 Digit (Node a)
sf1 Node a
a Node a
b Node a
c Digit (Node a)
pr2 FingerTree (Node (Node a))
m2

addDigits3 :: FingerTree (Node (Node a)) -> Digit (Node a) -> Node a -> Node a -> Node a -> Digit (Node a) -> FingerTree (Node (Node a)) -> FingerTree (Node (Node a))
addDigits3 :: FingerTree (Node (Node a))
-> Digit (Node a)
-> Node a
-> Node a
-> Node a
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
addDigits3 m1 :: FingerTree (Node (Node a))
m1 (One a :: Node a
a) !Node a
b !Node a
c !Node a
d (One e :: Node a
e) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) FingerTree (Node (Node a))
m2
addDigits3 m1 :: FingerTree (Node (Node a))
m1 (One a :: Node a
a) b :: Node a
b c :: Node a
c d :: Node a
d (Two e :: Node a
e f :: Node a
f) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) FingerTree (Node (Node a))
m2
addDigits3 m1 :: FingerTree (Node (Node a))
m1 (One a :: Node a
a) b :: Node a
b c :: Node a
c d :: Node a
d (Three e :: Node a
e f :: Node a
f g :: Node a
g) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
f Node a
g) FingerTree (Node (Node a))
m2
addDigits3 m1 :: FingerTree (Node (Node a))
m1 (One a :: Node a
a) b :: Node a
b c :: Node a
c d :: Node a
d (Four e :: Node a
e f :: Node a
f g :: Node a
g h :: Node a
h) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) FingerTree (Node (Node a))
m2
addDigits3 m1 :: FingerTree (Node (Node a))
m1 (Two a :: Node a
a b :: Node a
b) !Node a
c !Node a
d !Node a
e (One f :: Node a
f) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) FingerTree (Node (Node a))
m2
addDigits3 m1 :: FingerTree (Node (Node a))
m1 (Two a :: Node a
a b :: Node a
b) c :: Node a
c d :: Node a
d e :: Node a
e (Two f :: Node a
f g :: Node a
g) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
f Node a
g) FingerTree (Node (Node a))
m2
addDigits3 m1 :: FingerTree (Node (Node a))
m1 (Two a :: Node a
a b :: Node a
b) c :: Node a
c d :: Node a
d e :: Node a
e (Three f :: Node a
f g :: Node a
g h :: Node a
h) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) FingerTree (Node (Node a))
m2
addDigits3 m1 :: FingerTree (Node (Node a))
m1 (Two a :: Node a
a b :: Node a
b) c :: Node a
c d :: Node a
d e :: Node a
e (Four f :: Node a
f g :: Node a
g h :: Node a
h i :: Node a
i) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
g Node a
h Node a
i) FingerTree (Node (Node a))
m2
addDigits3 m1 :: FingerTree (Node (Node a))
m1 (Three a :: Node a
a b :: Node a
b c :: Node a
c) !Node a
d !Node a
e !Node a
f (One g :: Node a
g) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
f Node a
g) FingerTree (Node (Node a))
m2
addDigits3 m1 :: FingerTree (Node (Node a))
m1 (Three a :: Node a
a b :: Node a
b c :: Node a
c) d :: Node a
d e :: Node a
e f :: Node a
f (Two g :: Node a
g h :: Node a
h) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) FingerTree (Node (Node a))
m2
addDigits3 m1 :: FingerTree (Node (Node a))
m1 (Three a :: Node a
a b :: Node a
b c :: Node a
c) d :: Node a
d e :: Node a
e f :: Node a
f (Three g :: Node a
g h :: Node a
h i :: Node a
i) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
g Node a
h Node a
i) FingerTree (Node (Node a))
m2
addDigits3 m1 :: FingerTree (Node (Node a))
m1 (Three a :: Node a
a b :: Node a
b c :: Node a
c) d :: Node a
d e :: Node a
e f :: Node a
f (Four g :: Node a
g h :: Node a
h i :: Node a
i j :: Node a
j) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree4 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
i Node a
j) FingerTree (Node (Node a))
m2
addDigits3 m1 :: FingerTree (Node (Node a))
m1 (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) !Node a
e !Node a
f !Node a
g (One h :: Node a
h) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) FingerTree (Node (Node a))
m2
addDigits3 m1 :: FingerTree (Node (Node a))
m1 (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) e :: Node a
e f :: Node a
f g :: Node a
g (Two h :: Node a
h i :: Node a
i) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
g Node a
h Node a
i) FingerTree (Node (Node a))
m2
addDigits3 m1 :: FingerTree (Node (Node a))
m1 (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) e :: Node a
e f :: Node a
f g :: Node a
g (Three h :: Node a
h i :: Node a
i j :: Node a
j) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree4 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
i Node a
j) FingerTree (Node (Node a))
m2
addDigits3 m1 :: FingerTree (Node (Node a))
m1 (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) e :: Node a
e f :: Node a
f g :: Node a
g (Four h :: Node a
h i :: Node a
i j :: Node a
j k :: Node a
k) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree4 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
g Node a
h Node a
i) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
j Node a
k) FingerTree (Node (Node a))
m2

appendTree4 :: FingerTree (Node a) -> Node a -> Node a -> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree4 :: FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree4 EmptyT !Node a
a !Node a
b !Node a
c !Node a
d xs :: FingerTree (Node a)
xs =
    Node a
a Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` Node a
b Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` Node a
c Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` Node a
d Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` FingerTree (Node a)
xs
appendTree4 xs :: FingerTree (Node a)
xs !Node a
a !Node a
b !Node a
c !Node a
d EmptyT =
    FingerTree (Node a)
xs FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
a FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
b FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
c FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
d
appendTree4 (Single x :: Node a
x) a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d xs :: FingerTree (Node a)
xs =
    Node a
x Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` Node a
a Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` Node a
b Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` Node a
c Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` Node a
d Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` FingerTree (Node a)
xs
appendTree4 xs :: FingerTree (Node a)
xs a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d (Single x :: Node a
x) =
    FingerTree (Node a)
xs FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
a FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
b FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
c FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
d FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
x
appendTree4 (Deep s1 :: Int
s1 pr1 :: Digit (Node a)
pr1 m1 :: FingerTree (Node (Node a))
m1 sf1 :: Digit (Node a)
sf1) a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d (Deep s2 :: Int
s2 pr2 :: Digit (Node a)
pr2 m2 :: FingerTree (Node (Node a))
m2 sf2 :: Digit (Node a)
sf2) =
    Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s1 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
a Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
c Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
d Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s2) Digit (Node a)
pr1 FingerTree (Node (Node a))
m Digit (Node a)
sf2
  where !m :: FingerTree (Node (Node a))
m = FingerTree (Node (Node a))
-> Digit (Node a)
-> Node a
-> Node a
-> Node a
-> Node a
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node (Node a))
-> Digit (Node a)
-> Node a
-> Node a
-> Node a
-> Node a
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
addDigits4 FingerTree (Node (Node a))
m1 Digit (Node a)
sf1 Node a
a Node a
b Node a
c Node a
d Digit (Node a)
pr2 FingerTree (Node (Node a))
m2

addDigits4 :: FingerTree (Node (Node a)) -> Digit (Node a) -> Node a -> Node a -> Node a -> Node a -> Digit (Node a) -> FingerTree (Node (Node a)) -> FingerTree (Node (Node a))
addDigits4 :: FingerTree (Node (Node a))
-> Digit (Node a)
-> Node a
-> Node a
-> Node a
-> Node a
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
addDigits4 m1 :: FingerTree (Node (Node a))
m1 (One a :: Node a
a) !Node a
b !Node a
c !Node a
d !Node a
e (One f :: Node a
f) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a -> Node a -> FingerTree (Node a) -> FingerTree (Node a)
appendTree2 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) FingerTree (Node (Node a))
m2
addDigits4 m1 :: FingerTree (Node (Node a))
m1 (One a :: Node a
a) b :: Node a
b c :: Node a
c d :: Node a
d e :: Node a
e (Two f :: Node a
f g :: Node a
g) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
f Node a
g) FingerTree (Node (Node a))
m2
addDigits4 m1 :: FingerTree (Node (Node a))
m1 (One a :: Node a
a) b :: Node a
b c :: Node a
c d :: Node a
d e :: Node a
e (Three f :: Node a
f g :: Node a
g h :: Node a
h) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) FingerTree (Node (Node a))
m2
addDigits4 m1 :: FingerTree (Node (Node a))
m1 (One a :: Node a
a) b :: Node a
b c :: Node a
c d :: Node a
d e :: Node a
e (Four f :: Node a
f g :: Node a
g h :: Node a
h i :: Node a
i) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
g Node a
h Node a
i) FingerTree (Node (Node a))
m2
addDigits4 m1 :: FingerTree (Node (Node a))
m1 (Two a :: Node a
a b :: Node a
b) !Node a
c !Node a
d !Node a
e !Node a
f (One g :: Node a
g) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
d Node a
e) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
f Node a
g) FingerTree (Node (Node a))
m2
addDigits4 m1 :: FingerTree (Node (Node a))
m1 (Two a :: Node a
a b :: Node a
b) c :: Node a
c d :: Node a
d e :: Node a
e f :: Node a
f (Two g :: Node a
g h :: Node a
h) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) FingerTree (Node (Node a))
m2
addDigits4 m1 :: FingerTree (Node (Node a))
m1 (Two a :: Node a
a b :: Node a
b) c :: Node a
c d :: Node a
d e :: Node a
e f :: Node a
f (Three g :: Node a
g h :: Node a
h i :: Node a
i) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
g Node a
h Node a
i) FingerTree (Node (Node a))
m2
addDigits4 m1 :: FingerTree (Node (Node a))
m1 (Two a :: Node a
a b :: Node a
b) c :: Node a
c d :: Node a
d e :: Node a
e f :: Node a
f (Four g :: Node a
g h :: Node a
h i :: Node a
i j :: Node a
j) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree4 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
i Node a
j) FingerTree (Node (Node a))
m2
addDigits4 m1 :: FingerTree (Node (Node a))
m1 (Three a :: Node a
a b :: Node a
b c :: Node a
c) !Node a
d !Node a
e !Node a
f !Node a
g (One h :: Node a
h) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) FingerTree (Node (Node a))
m2
addDigits4 m1 :: FingerTree (Node (Node a))
m1 (Three a :: Node a
a b :: Node a
b c :: Node a
c) d :: Node a
d e :: Node a
e f :: Node a
f g :: Node a
g (Two h :: Node a
h i :: Node a
i) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
g Node a
h Node a
i) FingerTree (Node (Node a))
m2
addDigits4 m1 :: FingerTree (Node (Node a))
m1 (Three a :: Node a
a b :: Node a
b c :: Node a
c) d :: Node a
d e :: Node a
e f :: Node a
f g :: Node a
g (Three h :: Node a
h i :: Node a
i j :: Node a
j) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree4 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
i Node a
j) FingerTree (Node (Node a))
m2
addDigits4 m1 :: FingerTree (Node (Node a))
m1 (Three a :: Node a
a b :: Node a
b c :: Node a
c) d :: Node a
d e :: Node a
e f :: Node a
f g :: Node a
g (Four h :: Node a
h i :: Node a
i j :: Node a
j k :: Node a
k) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree4 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
g Node a
h Node a
i) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
j Node a
k) FingerTree (Node (Node a))
m2
addDigits4 m1 :: FingerTree (Node (Node a))
m1 (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) !Node a
e !Node a
f !Node a
g !Node a
h (One i :: Node a
i) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree3 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
g Node a
h Node a
i) FingerTree (Node (Node a))
m2
addDigits4 m1 :: FingerTree (Node (Node a))
m1 (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) !Node a
e !Node a
f !Node a
g !Node a
h (Two i :: Node a
i j :: Node a
j) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree4 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
g Node a
h) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
i Node a
j) FingerTree (Node (Node a))
m2
addDigits4 m1 :: FingerTree (Node (Node a))
m1 (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) !Node a
e !Node a
f !Node a
g !Node a
h (Three i :: Node a
i j :: Node a
j k :: Node a
k) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree4 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
g Node a
h Node a
i) (Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> Node a
node2 Node a
j Node a
k) FingerTree (Node (Node a))
m2
addDigits4 m1 :: FingerTree (Node (Node a))
m1 (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) !Node a
e !Node a
f !Node a
g !Node a
h (Four i :: Node a
i j :: Node a
j k :: Node a
k l :: Node a
l) m2 :: FingerTree (Node (Node a))
m2 =
    FingerTree (Node (Node a))
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> Node (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
FingerTree (Node a)
-> Node a
-> Node a
-> Node a
-> Node a
-> FingerTree (Node a)
-> FingerTree (Node a)
appendTree4 FingerTree (Node (Node a))
m1 (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
a Node a
b Node a
c) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
d Node a
e Node a
f) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
g Node a
h Node a
i) (Node a -> Node a -> Node a -> Node (Node a)
forall a. Sized a => a -> a -> a -> Node a
node3 Node a
j Node a
k Node a
l) FingerTree (Node (Node a))
m2

-- | Builds a sequence from a seed value.  Takes time linear in the
-- number of generated elements.  /WARNING:/ If the number of generated
-- elements is infinite, this method will not terminate.
unfoldr :: (b -> Maybe (a, b)) -> b -> Seq a
unfoldr :: (b -> Maybe (a, b)) -> b -> Seq a
unfoldr f :: b -> Maybe (a, b)
f = Seq a -> b -> Seq a
unfoldr' Seq a
forall a. Seq a
empty
  -- uses tail recursion rather than, for instance, the List implementation.
  where unfoldr' :: Seq a -> b -> Seq a
unfoldr' !Seq a
as b :: b
b = Seq a -> ((a, b) -> Seq a) -> Maybe (a, b) -> Seq a
forall b a. b -> (a -> b) -> Maybe a -> b
maybe Seq a
as (\ (a :: a
a, b' :: b
b') -> Seq a -> b -> Seq a
unfoldr' (Seq a
as Seq a -> a -> Seq a
forall a. Seq a -> a -> Seq a
`snoc'` a
a) b
b') (b -> Maybe (a, b)
f b
b)

-- | @'unfoldl' f x@ is equivalent to @'reverse' ('unfoldr' ('fmap' swap . f) x)@.
unfoldl :: (b -> Maybe (b, a)) -> b -> Seq a
unfoldl :: (b -> Maybe (b, a)) -> b -> Seq a
unfoldl f :: b -> Maybe (b, a)
f = Seq a -> b -> Seq a
unfoldl' Seq a
forall a. Seq a
empty
  where unfoldl' :: Seq a -> b -> Seq a
unfoldl' !Seq a
as b :: b
b = Seq a -> ((b, a) -> Seq a) -> Maybe (b, a) -> Seq a
forall b a. b -> (a -> b) -> Maybe a -> b
maybe Seq a
as (\ (b' :: b
b', a :: a
a) -> Seq a -> b -> Seq a
unfoldl' (a
a a -> Seq a -> Seq a
forall a. a -> Seq a -> Seq a
`cons'` Seq a
as) b
b') (b -> Maybe (b, a)
f b
b)

-- | \( O(n) \).  Constructs a sequence by repeated application of a function
-- to a seed value.
--
-- > iterateN n f x = fromList (Prelude.take n (Prelude.iterate f x))
iterateN :: Int -> (a -> a) -> a -> Seq a
iterateN :: Int -> (a -> a) -> a -> Seq a
iterateN n :: Int
n f :: a -> a
f x :: a
x
  | Int
n Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
>= 0      = Int -> State a a -> State a (Seq a)
forall (f :: * -> *) a. Applicative f => Int -> f a -> f (Seq a)
replicateA Int
n ((a -> (a, a)) -> State a a
forall s a. (s -> (s, a)) -> State s a
State (\ y :: a
y -> (a -> a
f a
y, a
y))) State a (Seq a) -> a -> Seq a
forall s a. State s a -> s -> a
`execState` a
x
  | Bool
otherwise   = [Char] -> Seq a
forall a. HasCallStack => [Char] -> a
error "iterateN takes a nonnegative integer argument"

------------------------------------------------------------------------
-- Deconstruction
------------------------------------------------------------------------

-- | \( O(1) \). Is this the empty sequence?
null            :: Seq a -> Bool
null :: Seq a -> Bool
null (Seq EmptyT) = Bool
True
null _            =  Bool
False

-- | \( O(1) \). The number of elements in the sequence.
length          :: Seq a -> Int
length :: Seq a -> Int
length (Seq xs :: FingerTree (Elem a)
xs) =  FingerTree (Elem a) -> Int
forall a. Sized a => a -> Int
size FingerTree (Elem a)
xs

-- Views

data ViewLTree a = ConsLTree a (FingerTree a) | EmptyLTree
data ViewRTree a = SnocRTree (FingerTree a) a | EmptyRTree

-- | View of the left end of a sequence.
data ViewL a
    = EmptyL        -- ^ empty sequence
    | a :< Seq a    -- ^ leftmost element and the rest of the sequence
    deriving (ViewL a -> ViewL a -> Bool
(ViewL a -> ViewL a -> Bool)
-> (ViewL a -> ViewL a -> Bool) -> Eq (ViewL a)
forall a. Eq a => ViewL a -> ViewL a -> Bool
forall a. (a -> a -> Bool) -> (a -> a -> Bool) -> Eq a
/= :: ViewL a -> ViewL a -> Bool
$c/= :: forall a. Eq a => ViewL a -> ViewL a -> Bool
== :: ViewL a -> ViewL a -> Bool
$c== :: forall a. Eq a => ViewL a -> ViewL a -> Bool
Eq, Eq (ViewL a)
Eq (ViewL a) =>
(ViewL a -> ViewL a -> Ordering)
-> (ViewL a -> ViewL a -> Bool)
-> (ViewL a -> ViewL a -> Bool)
-> (ViewL a -> ViewL a -> Bool)
-> (ViewL a -> ViewL a -> Bool)
-> (ViewL a -> ViewL a -> ViewL a)
-> (ViewL a -> ViewL a -> ViewL a)
-> Ord (ViewL a)
ViewL a -> ViewL a -> Bool
ViewL a -> ViewL a -> Ordering
ViewL a -> ViewL a -> ViewL a
forall a.
Eq a =>
(a -> a -> Ordering)
-> (a -> a -> Bool)
-> (a -> a -> Bool)
-> (a -> a -> Bool)
-> (a -> a -> Bool)
-> (a -> a -> a)
-> (a -> a -> a)
-> Ord a
forall a. Ord a => Eq (ViewL a)
forall a. Ord a => ViewL a -> ViewL a -> Bool
forall a. Ord a => ViewL a -> ViewL a -> Ordering
forall a. Ord a => ViewL a -> ViewL a -> ViewL a
min :: ViewL a -> ViewL a -> ViewL a
$cmin :: forall a. Ord a => ViewL a -> ViewL a -> ViewL a
max :: ViewL a -> ViewL a -> ViewL a
$cmax :: forall a. Ord a => ViewL a -> ViewL a -> ViewL a
>= :: ViewL a -> ViewL a -> Bool
$c>= :: forall a. Ord a => ViewL a -> ViewL a -> Bool
> :: ViewL a -> ViewL a -> Bool
$c> :: forall a. Ord a => ViewL a -> ViewL a -> Bool
<= :: ViewL a -> ViewL a -> Bool
$c<= :: forall a. Ord a => ViewL a -> ViewL a -> Bool
< :: ViewL a -> ViewL a -> Bool
$c< :: forall a. Ord a => ViewL a -> ViewL a -> Bool
compare :: ViewL a -> ViewL a -> Ordering
$ccompare :: forall a. Ord a => ViewL a -> ViewL a -> Ordering
$cp1Ord :: forall a. Ord a => Eq (ViewL a)
Ord, Int -> ViewL a -> ShowS
[ViewL a] -> ShowS
ViewL a -> [Char]
(Int -> ViewL a -> ShowS)
-> (ViewL a -> [Char]) -> ([ViewL a] -> ShowS) -> Show (ViewL a)
forall a. Show a => Int -> ViewL a -> ShowS
forall a. Show a => [ViewL a] -> ShowS
forall a. Show a => ViewL a -> [Char]
forall a.
(Int -> a -> ShowS) -> (a -> [Char]) -> ([a] -> ShowS) -> Show a
showList :: [ViewL a] -> ShowS
$cshowList :: forall a. Show a => [ViewL a] -> ShowS
show :: ViewL a -> [Char]
$cshow :: forall a. Show a => ViewL a -> [Char]
showsPrec :: Int -> ViewL a -> ShowS
$cshowsPrec :: forall a. Show a => Int -> ViewL a -> ShowS
Show, ReadPrec [ViewL a]
ReadPrec (ViewL a)
Int -> ReadS (ViewL a)
ReadS [ViewL a]
(Int -> ReadS (ViewL a))
-> ReadS [ViewL a]
-> ReadPrec (ViewL a)
-> ReadPrec [ViewL a]
-> Read (ViewL a)
forall a. Read a => ReadPrec [ViewL a]
forall a. Read a => ReadPrec (ViewL a)
forall a. Read a => Int -> ReadS (ViewL a)
forall a. Read a => ReadS [ViewL a]
forall a.
(Int -> ReadS a)
-> ReadS [a] -> ReadPrec a -> ReadPrec [a] -> Read a
readListPrec :: ReadPrec [ViewL a]
$creadListPrec :: forall a. Read a => ReadPrec [ViewL a]
readPrec :: ReadPrec (ViewL a)
$creadPrec :: forall a. Read a => ReadPrec (ViewL a)
readList :: ReadS [ViewL a]
$creadList :: forall a. Read a => ReadS [ViewL a]
readsPrec :: Int -> ReadS (ViewL a)
$creadsPrec :: forall a. Read a => Int -> ReadS (ViewL a)
Read)

#ifdef __GLASGOW_HASKELL__
deriving instance Data a => Data (ViewL a)

-- | @since 0.5.8
deriving instance Generic1 ViewL

-- | @since 0.5.8
deriving instance Generic (ViewL a)
#endif

INSTANCE_TYPEABLE1(ViewL)

instance Functor ViewL where
    {-# INLINE fmap #-}
    fmap :: (a -> b) -> ViewL a -> ViewL b
fmap _ EmptyL       = ViewL b
forall a. ViewL a
EmptyL
    fmap f :: a -> b
f (x :: a
x :< xs :: Seq a
xs)    = a -> b
f a
x b -> Seq b -> ViewL b
forall a. a -> Seq a -> ViewL a
:< (a -> b) -> Seq a -> Seq b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> b
f Seq a
xs

instance Foldable ViewL where
    foldr :: (a -> b -> b) -> b -> ViewL a -> b
foldr _ z :: b
z EmptyL = b
z
    foldr f :: a -> b -> b
f z :: b
z (x :: a
x :< xs :: Seq a
xs) = a -> b -> b
f a
x ((a -> b -> b) -> b -> Seq a -> b
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr a -> b -> b
f b
z Seq a
xs)

    foldl :: (b -> a -> b) -> b -> ViewL a -> b
foldl _ z :: b
z EmptyL = b
z
    foldl f :: b -> a -> b
f z :: b
z (x :: a
x :< xs :: Seq a
xs) = (b -> a -> b) -> b -> Seq a -> b
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl b -> a -> b
f (b -> a -> b
f b
z a
x) Seq a
xs

    foldl1 :: (a -> a -> a) -> ViewL a -> a
foldl1 _ EmptyL = [Char] -> a
forall a. HasCallStack => [Char] -> a
error "foldl1: empty view"
    foldl1 f :: a -> a -> a
f (x :: a
x :< xs :: Seq a
xs) = (a -> a -> a) -> a -> Seq a -> a
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl a -> a -> a
f a
x Seq a
xs

#if MIN_VERSION_base(4,8,0)
    null :: ViewL a -> Bool
null EmptyL = Bool
True
    null (_ :< _) = Bool
False

    length :: ViewL a -> Int
length EmptyL = 0
    length (_ :< xs :: Seq a
xs) = 1 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Seq a -> Int
forall a. Seq a -> Int
length Seq a
xs
#endif

instance Traversable ViewL where
    traverse :: (a -> f b) -> ViewL a -> f (ViewL b)
traverse _ EmptyL       = ViewL b -> f (ViewL b)
forall (f :: * -> *) a. Applicative f => a -> f a
pure ViewL b
forall a. ViewL a
EmptyL
    traverse f :: a -> f b
f (x :: a
x :< xs :: Seq a
xs)    = (b -> Seq b -> ViewL b) -> f b -> f (Seq b) -> f (ViewL b)
forall (f :: * -> *) a b c.
Applicative f =>
(a -> b -> c) -> f a -> f b -> f c
liftA2 b -> Seq b -> ViewL b
forall a. a -> Seq a -> ViewL a
(:<) (a -> f b
f a
x) ((a -> f b) -> Seq a -> f (Seq b)
forall (t :: * -> *) (f :: * -> *) a b.
(Traversable t, Applicative f) =>
(a -> f b) -> t a -> f (t b)
traverse a -> f b
f Seq a
xs)

-- | \( O(1) \). Analyse the left end of a sequence.
viewl           ::  Seq a -> ViewL a
viewl :: Seq a -> ViewL a
viewl (Seq xs :: FingerTree (Elem a)
xs)  =  case FingerTree (Elem a) -> ViewLTree (Elem a)
forall a. Sized a => FingerTree a -> ViewLTree a
viewLTree FingerTree (Elem a)
xs of
    EmptyLTree -> ViewL a
forall a. ViewL a
EmptyL
    ConsLTree (Elem x :: a
x) xs' :: FingerTree (Elem a)
xs' -> a
x a -> Seq a -> ViewL a
forall a. a -> Seq a -> ViewL a
:< FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq FingerTree (Elem a)
xs'

{-# SPECIALIZE viewLTree :: FingerTree (Elem a) -> ViewLTree (Elem a) #-}
{-# SPECIALIZE viewLTree :: FingerTree (Node a) -> ViewLTree (Node a) #-}
viewLTree       :: Sized a => FingerTree a -> ViewLTree a
viewLTree :: FingerTree a -> ViewLTree a
viewLTree EmptyT                = ViewLTree a
forall a. ViewLTree a
EmptyLTree
viewLTree (Single a :: a
a)            = a -> FingerTree a -> ViewLTree a
forall a. a -> FingerTree a -> ViewLTree a
ConsLTree a
a FingerTree a
forall a. FingerTree a
EmptyT
viewLTree (Deep s :: Int
s (One a :: a
a) m :: FingerTree (Node a)
m sf :: Digit a
sf) = a -> FingerTree a -> ViewLTree a
forall a. a -> FingerTree a -> ViewLTree a
ConsLTree a
a (Int -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- a -> Int
forall a. Sized a => a -> Int
size a
a) FingerTree (Node a)
m Digit a
sf)
viewLTree (Deep s :: Int
s (Two a :: a
a b :: a
b) m :: FingerTree (Node a)
m sf :: Digit a
sf) =
    a -> FingerTree a -> ViewLTree a
forall a. a -> FingerTree a -> ViewLTree a
ConsLTree a
a (Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- a -> Int
forall a. Sized a => a -> Int
size a
a) (a -> Digit a
forall a. a -> Digit a
One a
b) FingerTree (Node a)
m Digit a
sf)
viewLTree (Deep s :: Int
s (Three a :: a
a b :: a
b c :: a
c) m :: FingerTree (Node a)
m sf :: Digit a
sf) =
    a -> FingerTree a -> ViewLTree a
forall a. a -> FingerTree a -> ViewLTree a
ConsLTree a
a (Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- a -> Int
forall a. Sized a => a -> Int
size a
a) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
b a
c) FingerTree (Node a)
m Digit a
sf)
viewLTree (Deep s :: Int
s (Four a :: a
a b :: a
b c :: a
c d :: a
d) m :: FingerTree (Node a)
m sf :: Digit a
sf) =
    a -> FingerTree a -> ViewLTree a
forall a. a -> FingerTree a -> ViewLTree a
ConsLTree a
a (Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- a -> Int
forall a. Sized a => a -> Int
size a
a) (a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
b a
c a
d) FingerTree (Node a)
m Digit a
sf)

-- | View of the right end of a sequence.
data ViewR a
    = EmptyR        -- ^ empty sequence
    | Seq a :> a    -- ^ the sequence minus the rightmost element,
            -- and the rightmost element
    deriving (ViewR a -> ViewR a -> Bool
(ViewR a -> ViewR a -> Bool)
-> (ViewR a -> ViewR a -> Bool) -> Eq (ViewR a)
forall a. Eq a => ViewR a -> ViewR a -> Bool
forall a. (a -> a -> Bool) -> (a -> a -> Bool) -> Eq a
/= :: ViewR a -> ViewR a -> Bool
$c/= :: forall a. Eq a => ViewR a -> ViewR a -> Bool
== :: ViewR a -> ViewR a -> Bool
$c== :: forall a. Eq a => ViewR a -> ViewR a -> Bool
Eq, Eq (ViewR a)
Eq (ViewR a) =>
(ViewR a -> ViewR a -> Ordering)
-> (ViewR a -> ViewR a -> Bool)
-> (ViewR a -> ViewR a -> Bool)
-> (ViewR a -> ViewR a -> Bool)
-> (ViewR a -> ViewR a -> Bool)
-> (ViewR a -> ViewR a -> ViewR a)
-> (ViewR a -> ViewR a -> ViewR a)
-> Ord (ViewR a)
ViewR a -> ViewR a -> Bool
ViewR a -> ViewR a -> Ordering
ViewR a -> ViewR a -> ViewR a
forall a.
Eq a =>
(a -> a -> Ordering)
-> (a -> a -> Bool)
-> (a -> a -> Bool)
-> (a -> a -> Bool)
-> (a -> a -> Bool)
-> (a -> a -> a)
-> (a -> a -> a)
-> Ord a
forall a. Ord a => Eq (ViewR a)
forall a. Ord a => ViewR a -> ViewR a -> Bool
forall a. Ord a => ViewR a -> ViewR a -> Ordering
forall a. Ord a => ViewR a -> ViewR a -> ViewR a
min :: ViewR a -> ViewR a -> ViewR a
$cmin :: forall a. Ord a => ViewR a -> ViewR a -> ViewR a
max :: ViewR a -> ViewR a -> ViewR a
$cmax :: forall a. Ord a => ViewR a -> ViewR a -> ViewR a
>= :: ViewR a -> ViewR a -> Bool
$c>= :: forall a. Ord a => ViewR a -> ViewR a -> Bool
> :: ViewR a -> ViewR a -> Bool
$c> :: forall a. Ord a => ViewR a -> ViewR a -> Bool
<= :: ViewR a -> ViewR a -> Bool
$c<= :: forall a. Ord a => ViewR a -> ViewR a -> Bool
< :: ViewR a -> ViewR a -> Bool
$c< :: forall a. Ord a => ViewR a -> ViewR a -> Bool
compare :: ViewR a -> ViewR a -> Ordering
$ccompare :: forall a. Ord a => ViewR a -> ViewR a -> Ordering
$cp1Ord :: forall a. Ord a => Eq (ViewR a)
Ord, Int -> ViewR a -> ShowS
[ViewR a] -> ShowS
ViewR a -> [Char]
(Int -> ViewR a -> ShowS)
-> (ViewR a -> [Char]) -> ([ViewR a] -> ShowS) -> Show (ViewR a)
forall a. Show a => Int -> ViewR a -> ShowS
forall a. Show a => [ViewR a] -> ShowS
forall a. Show a => ViewR a -> [Char]
forall a.
(Int -> a -> ShowS) -> (a -> [Char]) -> ([a] -> ShowS) -> Show a
showList :: [ViewR a] -> ShowS
$cshowList :: forall a. Show a => [ViewR a] -> ShowS
show :: ViewR a -> [Char]
$cshow :: forall a. Show a => ViewR a -> [Char]
showsPrec :: Int -> ViewR a -> ShowS
$cshowsPrec :: forall a. Show a => Int -> ViewR a -> ShowS
Show, ReadPrec [ViewR a]
ReadPrec (ViewR a)
Int -> ReadS (ViewR a)
ReadS [ViewR a]
(Int -> ReadS (ViewR a))
-> ReadS [ViewR a]
-> ReadPrec (ViewR a)
-> ReadPrec [ViewR a]
-> Read (ViewR a)
forall a. Read a => ReadPrec [ViewR a]
forall a. Read a => ReadPrec (ViewR a)
forall a. Read a => Int -> ReadS (ViewR a)
forall a. Read a => ReadS [ViewR a]
forall a.
(Int -> ReadS a)
-> ReadS [a] -> ReadPrec a -> ReadPrec [a] -> Read a
readListPrec :: ReadPrec [ViewR a]
$creadListPrec :: forall a. Read a => ReadPrec [ViewR a]
readPrec :: ReadPrec (ViewR a)
$creadPrec :: forall a. Read a => ReadPrec (ViewR a)
readList :: ReadS [ViewR a]
$creadList :: forall a. Read a => ReadS [ViewR a]
readsPrec :: Int -> ReadS (ViewR a)
$creadsPrec :: forall a. Read a => Int -> ReadS (ViewR a)
Read)

#ifdef __GLASGOW_HASKELL__
deriving instance Data a => Data (ViewR a)

-- | @since 0.5.8
deriving instance Generic1 ViewR

-- | @since 0.5.8
deriving instance Generic (ViewR a)
#endif

INSTANCE_TYPEABLE1(ViewR)

instance Functor ViewR where
    {-# INLINE fmap #-}
    fmap :: (a -> b) -> ViewR a -> ViewR b
fmap _ EmptyR       = ViewR b
forall a. ViewR a
EmptyR
    fmap f :: a -> b
f (xs :: Seq a
xs :> x :: a
x)    = (a -> b) -> Seq a -> Seq b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> b
f Seq a
xs Seq b -> b -> ViewR b
forall a. Seq a -> a -> ViewR a
:> a -> b
f a
x

instance Foldable ViewR where
    foldMap :: (a -> m) -> ViewR a -> m
foldMap _ EmptyR = m
forall a. Monoid a => a
mempty
    foldMap f :: a -> m
f (xs :: Seq a
xs :> x :: a
x) = (a -> m) -> Seq a -> m
forall (t :: * -> *) m a.
(Foldable t, Monoid m) =>
(a -> m) -> t a -> m
foldMap a -> m
f Seq a
xs m -> m -> m
forall a. Monoid a => a -> a -> a
<> a -> m
f a
x

    foldr :: (a -> b -> b) -> b -> ViewR a -> b
foldr _ z :: b
z EmptyR = b
z
    foldr f :: a -> b -> b
f z :: b
z (xs :: Seq a
xs :> x :: a
x) = (a -> b -> b) -> b -> Seq a -> b
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr a -> b -> b
f (a -> b -> b
f a
x b
z) Seq a
xs

    foldl :: (b -> a -> b) -> b -> ViewR a -> b
foldl _ z :: b
z EmptyR = b
z
    foldl f :: b -> a -> b
f z :: b
z (xs :: Seq a
xs :> x :: a
x) = (b -> a -> b) -> b -> Seq a -> b
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl b -> a -> b
f b
z Seq a
xs b -> a -> b
`f` a
x

    foldr1 :: (a -> a -> a) -> ViewR a -> a
foldr1 _ EmptyR = [Char] -> a
forall a. HasCallStack => [Char] -> a
error "foldr1: empty view"
    foldr1 f :: a -> a -> a
f (xs :: Seq a
xs :> x :: a
x) = (a -> a -> a) -> a -> Seq a -> a
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr a -> a -> a
f a
x Seq a
xs
#if MIN_VERSION_base(4,8,0)
    null :: ViewR a -> Bool
null EmptyR = Bool
True
    null (_ :> _) = Bool
False

    length :: ViewR a -> Int
length EmptyR = 0
    length (xs :: Seq a
xs :> _) = Seq a -> Int
forall a. Seq a -> Int
length Seq a
xs Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1
#endif

instance Traversable ViewR where
    traverse :: (a -> f b) -> ViewR a -> f (ViewR b)
traverse _ EmptyR       = ViewR b -> f (ViewR b)
forall (f :: * -> *) a. Applicative f => a -> f a
pure ViewR b
forall a. ViewR a
EmptyR
    traverse f :: a -> f b
f (xs :: Seq a
xs :> x :: a
x)    = (Seq b -> b -> ViewR b) -> f (Seq b) -> f b -> f (ViewR b)
forall (f :: * -> *) a b c.
Applicative f =>
(a -> b -> c) -> f a -> f b -> f c
liftA2 Seq b -> b -> ViewR b
forall a. Seq a -> a -> ViewR a
(:>) ((a -> f b) -> Seq a -> f (Seq b)
forall (t :: * -> *) (f :: * -> *) a b.
(Traversable t, Applicative f) =>
(a -> f b) -> t a -> f (t b)
traverse a -> f b
f Seq a
xs) (a -> f b
f a
x)

-- | \( O(1) \). Analyse the right end of a sequence.
viewr           ::  Seq a -> ViewR a
viewr :: Seq a -> ViewR a
viewr (Seq xs :: FingerTree (Elem a)
xs)  =  case FingerTree (Elem a) -> ViewRTree (Elem a)
forall a. Sized a => FingerTree a -> ViewRTree a
viewRTree FingerTree (Elem a)
xs of
    EmptyRTree -> ViewR a
forall a. ViewR a
EmptyR
    SnocRTree xs' :: FingerTree (Elem a)
xs' (Elem x :: a
x) -> FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq FingerTree (Elem a)
xs' Seq a -> a -> ViewR a
forall a. Seq a -> a -> ViewR a
:> a
x

{-# SPECIALIZE viewRTree :: FingerTree (Elem a) -> ViewRTree (Elem a) #-}
{-# SPECIALIZE viewRTree :: FingerTree (Node a) -> ViewRTree (Node a) #-}
viewRTree       :: Sized a => FingerTree a -> ViewRTree a
viewRTree :: FingerTree a -> ViewRTree a
viewRTree EmptyT                = ViewRTree a
forall a. ViewRTree a
EmptyRTree
viewRTree (Single z :: a
z)            = FingerTree a -> a -> ViewRTree a
forall a. FingerTree a -> a -> ViewRTree a
SnocRTree FingerTree a
forall a. FingerTree a
EmptyT a
z
viewRTree (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m (One z :: a
z)) = FingerTree a -> a -> ViewRTree a
forall a. FingerTree a -> a -> ViewRTree a
SnocRTree (Int -> Digit a -> FingerTree (Node a) -> FingerTree a
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- a -> Int
forall a. Sized a => a -> Int
size a
z) Digit a
pr FingerTree (Node a)
m) a
z
viewRTree (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m (Two y :: a
y z :: a
z)) =
    FingerTree a -> a -> ViewRTree a
forall a. FingerTree a -> a -> ViewRTree a
SnocRTree (Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- a -> Int
forall a. Sized a => a -> Int
size a
z) Digit a
pr FingerTree (Node a)
m (a -> Digit a
forall a. a -> Digit a
One a
y)) a
z
viewRTree (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m (Three x :: a
x y :: a
y z :: a
z)) =
    FingerTree a -> a -> ViewRTree a
forall a. FingerTree a -> a -> ViewRTree a
SnocRTree (Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- a -> Int
forall a. Sized a => a -> Int
size a
z) Digit a
pr FingerTree (Node a)
m (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
x a
y)) a
z
viewRTree (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m (Four w :: a
w x :: a
x y :: a
y z :: a
z)) =
    FingerTree a -> a -> ViewRTree a
forall a. FingerTree a -> a -> ViewRTree a
SnocRTree (Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- a -> Int
forall a. Sized a => a -> Int
size a
z) Digit a
pr FingerTree (Node a)
m (a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
w a
x a
y)) a
z

------------------------------------------------------------------------
-- Scans
--
-- These are not particularly complex applications of the Traversable
-- functor, though making the correspondence with Data.List exact
-- requires the use of (<|) and (|>).
--
-- Note that save for the single (<|) or (|>), we maintain the original
-- structure of the Seq, not having to do any restructuring of our own.
--
-- wasserman.louis@gmail.com, 5/23/09
------------------------------------------------------------------------

-- | 'scanl' is similar to 'foldl', but returns a sequence of reduced
-- values from the left:
--
-- > scanl f z (fromList [x1, x2, ...]) = fromList [z, z `f` x1, (z `f` x1) `f` x2, ...]
scanl :: (a -> b -> a) -> a -> Seq b -> Seq a
scanl :: (a -> b -> a) -> a -> Seq b -> Seq a
scanl f :: a -> b -> a
f z0 :: a
z0 xs :: Seq b
xs = a
z0 a -> Seq a -> Seq a
forall a. a -> Seq a -> Seq a
<| (a, Seq a) -> Seq a
forall a b. (a, b) -> b
snd ((a -> b -> (a, a)) -> a -> Seq b -> (a, Seq a)
forall (t :: * -> *) a b c.
Traversable t =>
(a -> b -> (a, c)) -> a -> t b -> (a, t c)
mapAccumL (\ x :: a
x z :: b
z -> let x' :: a
x' = a -> b -> a
f a
x b
z in (a
x', a
x')) a
z0 Seq b
xs)

-- | 'scanl1' is a variant of 'scanl' that has no starting value argument:
--
-- > scanl1 f (fromList [x1, x2, ...]) = fromList [x1, x1 `f` x2, ...]
scanl1 :: (a -> a -> a) -> Seq a -> Seq a
scanl1 :: (a -> a -> a) -> Seq a -> Seq a
scanl1 f :: a -> a -> a
f xs :: Seq a
xs = case Seq a -> ViewL a
forall a. Seq a -> ViewL a
viewl Seq a
xs of
    EmptyL          -> [Char] -> Seq a
forall a. HasCallStack => [Char] -> a
error "scanl1 takes a nonempty sequence as an argument"
    x :: a
x :< xs' :: Seq a
xs'        -> (a -> a -> a) -> a -> Seq a -> Seq a
forall a b. (a -> b -> a) -> a -> Seq b -> Seq a
scanl a -> a -> a
f a
x Seq a
xs'

-- | 'scanr' is the right-to-left dual of 'scanl'.
scanr :: (a -> b -> b) -> b -> Seq a -> Seq b
scanr :: (a -> b -> b) -> b -> Seq a -> Seq b
scanr f :: a -> b -> b
f z0 :: b
z0 xs :: Seq a
xs = (b, Seq b) -> Seq b
forall a b. (a, b) -> b
snd ((b -> a -> (b, b)) -> b -> Seq a -> (b, Seq b)
forall (t :: * -> *) a b c.
Traversable t =>
(a -> b -> (a, c)) -> a -> t b -> (a, t c)
mapAccumR (\ z :: b
z x :: a
x -> let z' :: b
z' = a -> b -> b
f a
x b
z in (b
z', b
z')) b
z0 Seq a
xs) Seq b -> b -> Seq b
forall a. Seq a -> a -> Seq a
|> b
z0

-- | 'scanr1' is a variant of 'scanr' that has no starting value argument.
scanr1 :: (a -> a -> a) -> Seq a -> Seq a
scanr1 :: (a -> a -> a) -> Seq a -> Seq a
scanr1 f :: a -> a -> a
f xs :: Seq a
xs = case Seq a -> ViewR a
forall a. Seq a -> ViewR a
viewr Seq a
xs of
    EmptyR          -> [Char] -> Seq a
forall a. HasCallStack => [Char] -> a
error "scanr1 takes a nonempty sequence as an argument"
    xs' :: Seq a
xs' :> x :: a
x        -> (a -> a -> a) -> a -> Seq a -> Seq a
forall a b. (a -> b -> b) -> b -> Seq a -> Seq b
scanr a -> a -> a
f a
x Seq a
xs'

-- Indexing

-- | \( O(\log(\min(i,n-i))) \). The element at the specified position,
-- counting from 0.  The argument should thus be a non-negative
-- integer less than the size of the sequence.
-- If the position is out of range, 'index' fails with an error.
--
-- prop> xs `index` i = toList xs !! i
--
-- Caution: 'index' necessarily delays retrieving the requested
-- element until the result is forced. It can therefore lead to a space
-- leak if the result is stored, unforced, in another structure. To retrieve
-- an element immediately without forcing it, use 'lookup' or '(!?)'.
index           :: Seq a -> Int -> a
index :: Seq a -> Int -> a
index (Seq xs :: FingerTree (Elem a)
xs) i :: Int
i
  -- See note on unsigned arithmetic in splitAt
  | Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral Int
i Word -> Word -> Bool
forall a. Ord a => a -> a -> Bool
< (Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral (FingerTree (Elem a) -> Int
forall a. Sized a => a -> Int
size FingerTree (Elem a)
xs) :: Word) = case Int -> FingerTree (Elem a) -> Place (Elem a)
forall a. Sized a => Int -> FingerTree a -> Place a
lookupTree Int
i FingerTree (Elem a)
xs of
                Place _ (Elem x :: a
x) -> a
x
  | Bool
otherwise   = 
      [Char] -> a
forall a. HasCallStack => [Char] -> a
error ([Char] -> a) -> [Char] -> a
forall a b. (a -> b) -> a -> b
$ "index out of bounds in call to: Data.Sequence.index " [Char] -> ShowS
forall a. [a] -> [a] -> [a]
++ Int -> [Char]
forall a. Show a => a -> [Char]
show Int
i

-- | \( O(\log(\min(i,n-i))) \). The element at the specified position,
-- counting from 0. If the specified position is negative or at
-- least the length of the sequence, 'lookup' returns 'Nothing'.
--
-- prop> 0 <= i < length xs ==> lookup i xs == Just (toList xs !! i)
-- prop> i < 0 || i >= length xs ==> lookup i xs = Nothing
--
-- Unlike 'index', this can be used to retrieve an element without
-- forcing it. For example, to insert the fifth element of a sequence
-- @xs@ into a 'Data.Map.Lazy.Map' @m@ at key @k@, you could use
--
-- @
-- case lookup 5 xs of
--   Nothing -> m
--   Just x -> 'Data.Map.Lazy.insert' k x m
-- @
--
-- @since 0.5.8
lookup            :: Int -> Seq a -> Maybe a
lookup :: Int -> Seq a -> Maybe a
lookup i :: Int
i (Seq xs :: FingerTree (Elem a)
xs)
  -- Note: we perform the lookup *before* applying the Just constructor
  -- to ensure that we don't hold a reference to the whole sequence in
  -- a thunk. If we applied the Just constructor around the case, the
  -- actual lookup wouldn't be performed unless and until the value was
  -- forced.
  | Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral Int
i Word -> Word -> Bool
forall a. Ord a => a -> a -> Bool
< (Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral (FingerTree (Elem a) -> Int
forall a. Sized a => a -> Int
size FingerTree (Elem a)
xs) :: Word) = case Int -> FingerTree (Elem a) -> Place (Elem a)
forall a. Sized a => Int -> FingerTree a -> Place a
lookupTree Int
i FingerTree (Elem a)
xs of
                Place _ (Elem x :: a
x) -> a -> Maybe a
forall a. a -> Maybe a
Just a
x
  | Bool
otherwise = Maybe a
forall a. Maybe a
Nothing

-- | \( O(\log(\min(i,n-i))) \). A flipped, infix version of `lookup`.
--
-- @since 0.5.8
(!?) ::           Seq a -> Int -> Maybe a
!? :: Seq a -> Int -> Maybe a
(!?) = (Int -> Seq a -> Maybe a) -> Seq a -> Int -> Maybe a
forall a b c. (a -> b -> c) -> b -> a -> c
flip Int -> Seq a -> Maybe a
forall a. Int -> Seq a -> Maybe a
lookup

data Place a = Place {-# UNPACK #-} !Int a
#ifdef TESTING
    deriving Show
#endif

{-# SPECIALIZE lookupTree :: Int -> FingerTree (Elem a) -> Place (Elem a) #-}
{-# SPECIALIZE lookupTree :: Int -> FingerTree (Node a) -> Place (Node a) #-}
lookupTree :: Sized a => Int -> FingerTree a -> Place a
lookupTree :: Int -> FingerTree a -> Place a
lookupTree !Int
_ EmptyT = [Char] -> Place a
forall a. HasCallStack => [Char] -> a
error "lookupTree of empty tree"
lookupTree i :: Int
i (Single x :: a
x) = Int -> a -> Place a
forall a. Int -> a -> Place a
Place Int
i a
x
lookupTree i :: Int
i (Deep _ pr :: Digit a
pr m :: FingerTree (Node a)
m sf :: Digit a
sf)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spr     =  Int -> Digit a -> Place a
forall a. Sized a => Int -> Digit a -> Place a
lookupDigit Int
i Digit a
pr
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spm     =  case Int -> FingerTree (Node a) -> Place (Node a)
forall a. Sized a => Int -> FingerTree a -> Place a
lookupTree (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spr) FingerTree (Node a)
m of
                   Place i' :: Int
i' xs :: Node a
xs -> Int -> Node a -> Place a
forall a. Sized a => Int -> Node a -> Place a
lookupNode Int
i' Node a
xs
  | Bool
otherwise   =  Int -> Digit a -> Place a
forall a. Sized a => Int -> Digit a -> Place a
lookupDigit (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spm) Digit a
sf
  where
    spr :: Int
spr     = Digit a -> Int
forall a. Sized a => a -> Int
size Digit a
pr
    spm :: Int
spm     = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node a) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node a)
m

{-# SPECIALIZE lookupNode :: Int -> Node (Elem a) -> Place (Elem a) #-}
{-# SPECIALIZE lookupNode :: Int -> Node (Node a) -> Place (Node a) #-}
lookupNode :: Sized a => Int -> Node a -> Place a
lookupNode :: Int -> Node a -> Place a
lookupNode i :: Int
i (Node2 _ a :: a
a b :: a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = Int -> a -> Place a
forall a. Int -> a -> Place a
Place Int
i a
a
  | Bool
otherwise   = Int -> a -> Place a
forall a. Int -> a -> Place a
Place (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b
  where
    sa :: Int
sa      = a -> Int
forall a. Sized a => a -> Int
size a
a
lookupNode i :: Int
i (Node3 _ a :: a
a b :: a
b c :: a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = Int -> a -> Place a
forall a. Int -> a -> Place a
Place Int
i a
a
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = Int -> a -> Place a
forall a. Int -> a -> Place a
Place (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b
  | Bool
otherwise   = Int -> a -> Place a
forall a. Int -> a -> Place a
Place (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) a
c
  where
    sa :: Int
sa      = a -> Int
forall a. Sized a => a -> Int
size a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b

{-# SPECIALIZE lookupDigit :: Int -> Digit (Elem a) -> Place (Elem a) #-}
{-# SPECIALIZE lookupDigit :: Int -> Digit (Node a) -> Place (Node a) #-}
lookupDigit :: Sized a => Int -> Digit a -> Place a
lookupDigit :: Int -> Digit a -> Place a
lookupDigit i :: Int
i (One a :: a
a) = Int -> a -> Place a
forall a. Int -> a -> Place a
Place Int
i a
a
lookupDigit i :: Int
i (Two a :: a
a b :: a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = Int -> a -> Place a
forall a. Int -> a -> Place a
Place Int
i a
a
  | Bool
otherwise   = Int -> a -> Place a
forall a. Int -> a -> Place a
Place (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b
  where
    sa :: Int
sa      = a -> Int
forall a. Sized a => a -> Int
size a
a
lookupDigit i :: Int
i (Three a :: a
a b :: a
b c :: a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = Int -> a -> Place a
forall a. Int -> a -> Place a
Place Int
i a
a
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = Int -> a -> Place a
forall a. Int -> a -> Place a
Place (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b
  | Bool
otherwise   = Int -> a -> Place a
forall a. Int -> a -> Place a
Place (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) a
c
  where
    sa :: Int
sa      = a -> Int
forall a. Sized a => a -> Int
size a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b
lookupDigit i :: Int
i (Four a :: a
a b :: a
b c :: a
c d :: a
d)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = Int -> a -> Place a
forall a. Int -> a -> Place a
Place Int
i a
a
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = Int -> a -> Place a
forall a. Int -> a -> Place a
Place (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sabc    = Int -> a -> Place a
forall a. Int -> a -> Place a
Place (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) a
c
  | Bool
otherwise   = Int -> a -> Place a
forall a. Int -> a -> Place a
Place (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sabc) a
d
  where
    sa :: Int
sa      = a -> Int
forall a. Sized a => a -> Int
size a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b
    sabc :: Int
sabc    = Int
sab Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
c

-- | \( O(\log(\min(i,n-i))) \). Replace the element at the specified position.
-- If the position is out of range, the original sequence is returned.
update          :: Int -> a -> Seq a -> Seq a
update :: Int -> a -> Seq a -> Seq a
update i :: Int
i x :: a
x (Seq xs :: FingerTree (Elem a)
xs)
  -- See note on unsigned arithmetic in splitAt
  | Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral Int
i Word -> Word -> Bool
forall a. Ord a => a -> a -> Bool
< (Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral (FingerTree (Elem a) -> Int
forall a. Sized a => a -> Int
size FingerTree (Elem a)
xs) :: Word) = FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (Elem a -> Int -> FingerTree (Elem a) -> FingerTree (Elem a)
forall a.
Elem a -> Int -> FingerTree (Elem a) -> FingerTree (Elem a)
updateTree (a -> Elem a
forall a. a -> Elem a
Elem a
x) Int
i FingerTree (Elem a)
xs)
  | Bool
otherwise   = FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq FingerTree (Elem a)
xs

-- It seems a shame to copy the implementation of the top layer of
-- `adjust` instead of just using `update i x = adjust (const x) i`.
-- With the latter implementation, updating the same position many
-- times could lead to silly thunks building up around that position.
-- The thunks will each look like @const v a@, where @v@ is the new
-- value and @a@ the old.
updateTree      :: Elem a -> Int -> FingerTree (Elem a) -> FingerTree (Elem a)
updateTree :: Elem a -> Int -> FingerTree (Elem a) -> FingerTree (Elem a)
updateTree _ !Int
_ EmptyT = FingerTree (Elem a)
forall a. FingerTree a
EmptyT -- Unreachable
updateTree v :: Elem a
v _i :: Int
_i (Single _) = Elem a -> FingerTree (Elem a)
forall a. a -> FingerTree a
Single Elem a
v
updateTree v :: Elem a
v i :: Int
i (Deep s :: Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spr     = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Elem a -> Int -> Digit (Elem a) -> Digit (Elem a)
forall a. Elem a -> Int -> Digit (Elem a) -> Digit (Elem a)
updateDigit Elem a
v Int
i Digit (Elem a)
pr) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spm     = let !m' :: FingerTree (Node (Elem a))
m' = (Int -> Node (Elem a) -> Node (Elem a))
-> Int -> FingerTree (Node (Elem a)) -> FingerTree (Node (Elem a))
forall a.
(Sized a, MaybeForce a) =>
(Int -> a -> a) -> Int -> FingerTree a -> FingerTree a
adjustTree (Elem a -> Int -> Node (Elem a) -> Node (Elem a)
forall a. Elem a -> Int -> Node (Elem a) -> Node (Elem a)
updateNode Elem a
v) (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spr) FingerTree (Node (Elem a))
m
                  in Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s Digit (Elem a)
pr FingerTree (Node (Elem a))
m' Digit (Elem a)
sf
  | Bool
otherwise   = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Int -> Digit (Elem a) -> Digit (Elem a)
forall a. Elem a -> Int -> Digit (Elem a) -> Digit (Elem a)
updateDigit Elem a
v (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spm) Digit (Elem a)
sf)
  where
    spr :: Int
spr     = Digit (Elem a) -> Int
forall a. Sized a => a -> Int
size Digit (Elem a)
pr
    spm :: Int
spm     = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Elem a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a))
m

updateNode      :: Elem a -> Int -> Node (Elem a) -> Node (Elem a)
updateNode :: Elem a -> Int -> Node (Elem a) -> Node (Elem a)
updateNode v :: Elem a
v i :: Int
i (Node2 s :: Int
s a :: Elem a
a b :: Elem a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = Int -> Elem a -> Elem a -> Node (Elem a)
forall a. Int -> a -> a -> Node a
Node2 Int
s Elem a
v Elem a
b
  | Bool
otherwise   = Int -> Elem a -> Elem a -> Node (Elem a)
forall a. Int -> a -> a -> Node a
Node2 Int
s Elem a
a Elem a
v
  where
    sa :: Int
sa      = Elem a -> Int
forall a. Sized a => a -> Int
size Elem a
a
updateNode v :: Elem a
v i :: Int
i (Node3 s :: Int
s a :: Elem a
a b :: Elem a
b c :: Elem a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = Int -> Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s Elem a
v Elem a
b Elem a
c
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = Int -> Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s Elem a
a Elem a
v Elem a
c
  | Bool
otherwise   = Int -> Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s Elem a
a Elem a
b Elem a
v
  where
    sa :: Int
sa      = Elem a -> Int
forall a. Sized a => a -> Int
size Elem a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Elem a -> Int
forall a. Sized a => a -> Int
size Elem a
b

updateDigit     :: Elem a -> Int -> Digit (Elem a) -> Digit (Elem a)
updateDigit :: Elem a -> Int -> Digit (Elem a) -> Digit (Elem a)
updateDigit v :: Elem a
v !Int
_i (One _) = Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
v
updateDigit v :: Elem a
v i :: Int
i (Two a :: Elem a
a b :: Elem a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
v Elem a
b
  | Bool
otherwise   = Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
v
  where
    sa :: Int
sa      = Elem a -> Int
forall a. Sized a => a -> Int
size Elem a
a
updateDigit v :: Elem a
v i :: Int
i (Three a :: Elem a
a b :: Elem a
b c :: Elem a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
v Elem a
b Elem a
c
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
a Elem a
v Elem a
c
  | Bool
otherwise   = Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
a Elem a
b Elem a
v
  where
    sa :: Int
sa      = Elem a -> Int
forall a. Sized a => a -> Int
size Elem a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Elem a -> Int
forall a. Sized a => a -> Int
size Elem a
b
updateDigit v :: Elem a
v i :: Int
i (Four a :: Elem a
a b :: Elem a
b c :: Elem a
c d :: Elem a
d)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = Elem a -> Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> a -> Digit a
Four Elem a
v Elem a
b Elem a
c Elem a
d
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = Elem a -> Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> a -> Digit a
Four Elem a
a Elem a
v Elem a
c Elem a
d
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sabc    = Elem a -> Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> a -> Digit a
Four Elem a
a Elem a
b Elem a
v Elem a
d
  | Bool
otherwise   = Elem a -> Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> a -> Digit a
Four Elem a
a Elem a
b Elem a
c Elem a
v
  where
    sa :: Int
sa      = Elem a -> Int
forall a. Sized a => a -> Int
size Elem a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Elem a -> Int
forall a. Sized a => a -> Int
size Elem a
b
    sabc :: Int
sabc    = Int
sab Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Elem a -> Int
forall a. Sized a => a -> Int
size Elem a
c

-- | \( O(\log(\min(i,n-i))) \). Update the element at the specified position.  If
-- the position is out of range, the original sequence is returned.  'adjust'
-- can lead to poor performance and even memory leaks, because it does not
-- force the new value before installing it in the sequence. 'adjust'' should
-- usually be preferred.
--
-- @since 0.5.8
adjust          :: (a -> a) -> Int -> Seq a -> Seq a
adjust :: (a -> a) -> Int -> Seq a -> Seq a
adjust f :: a -> a
f i :: Int
i (Seq xs :: FingerTree (Elem a)
xs)
  -- See note on unsigned arithmetic in splitAt
  | Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral Int
i Word -> Word -> Bool
forall a. Ord a => a -> a -> Bool
< (Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral (FingerTree (Elem a) -> Int
forall a. Sized a => a -> Int
size FingerTree (Elem a)
xs) :: Word) = FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq ((Int -> Elem a -> Elem a)
-> Int -> FingerTree (Elem a) -> FingerTree (Elem a)
forall a.
(Sized a, MaybeForce a) =>
(Int -> a -> a) -> Int -> FingerTree a -> FingerTree a
adjustTree (Int -> (Elem a -> Elem a) -> Elem a -> Elem a
forall a b. a -> b -> b
`seq` (a -> a) -> Elem a -> Elem a
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> a
f) Int
i FingerTree (Elem a)
xs)
  | Bool
otherwise   = FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq FingerTree (Elem a)
xs

-- | \( O(\log(\min(i,n-i))) \). Update the element at the specified position.
-- If the position is out of range, the original sequence is returned.
-- The new value is forced before it is installed in the sequence.
--
-- @
-- adjust' f i xs =
--  case xs !? i of
--    Nothing -> xs
--    Just x -> let !x' = f x
--              in update i x' xs
-- @
--
-- @since 0.5.8
adjust'          :: forall a . (a -> a) -> Int -> Seq a -> Seq a
#if __GLASGOW_HASKELL__ >= 708
adjust' :: (a -> a) -> Int -> Seq a -> Seq a
adjust' f :: a -> a
f i :: Int
i xs :: Seq a
xs
  -- See note on unsigned arithmetic in splitAt
  | Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral Int
i Word -> Word -> Bool
forall a. Ord a => a -> a -> Bool
< (Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral (Seq a -> Int
forall a. Seq a -> Int
length Seq a
xs) :: Word) =
      FingerTree (ForceBox a) -> Seq a
forall a b. Coercible a b => a -> b
coerce (FingerTree (ForceBox a) -> Seq a)
-> FingerTree (ForceBox a) -> Seq a
forall a b. (a -> b) -> a -> b
$ (Int -> ForceBox a -> ForceBox a)
-> Int -> FingerTree (ForceBox a) -> FingerTree (ForceBox a)
forall a.
(Sized a, MaybeForce a) =>
(Int -> a -> a) -> Int -> FingerTree a -> FingerTree a
adjustTree (\ !Int
_k (ForceBox a :: a
a) -> a -> ForceBox a
forall a. a -> ForceBox a
ForceBox (a -> a
f a
a)) Int
i (Seq a -> FingerTree (ForceBox a)
forall a b. Coercible a b => a -> b
coerce Seq a
xs)
  | Bool
otherwise   = Seq a
xs
#else
-- This is inefficient, but fixing it would take a lot of fuss and bother
-- for little immediate gain. We can deal with that when we have another
-- Haskell implementation to worry about.
adjust' f i xs =
  case xs !? i of
    Nothing -> xs
    Just x -> let !x' = f x
              in update i x' xs
#endif

{-# SPECIALIZE adjustTree :: (Int -> ForceBox a -> ForceBox a) -> Int -> FingerTree (ForceBox a) -> FingerTree (ForceBox a) #-}
{-# SPECIALIZE adjustTree :: (Int -> Elem a -> Elem a) -> Int -> FingerTree (Elem a) -> FingerTree (Elem a) #-}
{-# SPECIALIZE adjustTree :: (Int -> Node a -> Node a) -> Int -> FingerTree (Node a) -> FingerTree (Node a) #-}
adjustTree      :: (Sized a, MaybeForce a) => (Int -> a -> a) ->
             Int -> FingerTree a -> FingerTree a
adjustTree :: (Int -> a -> a) -> Int -> FingerTree a -> FingerTree a
adjustTree _ !Int
_ EmptyT = FingerTree a
forall a. FingerTree a
EmptyT -- Unreachable
adjustTree f :: Int -> a -> a
f i :: Int
i (Single x :: a
x) = a -> FingerTree a
forall a. a -> FingerTree a
Single (a -> FingerTree a) -> a -> FingerTree a
forall a b. MaybeForce a => (a -> b) -> a -> b
$!? Int -> a -> a
f Int
i a
x
adjustTree f :: Int -> a -> a
f i :: Int
i (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m sf :: Digit a
sf)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spr     = Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s ((Int -> a -> a) -> Int -> Digit a -> Digit a
forall a.
(Sized a, MaybeForce a) =>
(Int -> a -> a) -> Int -> Digit a -> Digit a
adjustDigit Int -> a -> a
f Int
i Digit a
pr) FingerTree (Node a)
m Digit a
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spm     = let !m' :: FingerTree (Node a)
m' = (Int -> Node a -> Node a)
-> Int -> FingerTree (Node a) -> FingerTree (Node a)
forall a.
(Sized a, MaybeForce a) =>
(Int -> a -> a) -> Int -> FingerTree a -> FingerTree a
adjustTree ((Int -> a -> a) -> Int -> Node a -> Node a
forall a.
(Sized a, MaybeForce a) =>
(Int -> a -> a) -> Int -> Node a -> Node a
adjustNode Int -> a -> a
f) (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spr) FingerTree (Node a)
m
                  in Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s Digit a
pr FingerTree (Node a)
m' Digit a
sf
  | Bool
otherwise   = Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s Digit a
pr FingerTree (Node a)
m ((Int -> a -> a) -> Int -> Digit a -> Digit a
forall a.
(Sized a, MaybeForce a) =>
(Int -> a -> a) -> Int -> Digit a -> Digit a
adjustDigit Int -> a -> a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spm) Digit a
sf)
  where
    spr :: Int
spr     = Digit a -> Int
forall a. Sized a => a -> Int
size Digit a
pr
    spm :: Int
spm     = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node a) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node a)
m

{-# SPECIALIZE adjustNode :: (Int -> Elem a -> Elem a) -> Int -> Node (Elem a) -> Node (Elem a) #-}
{-# SPECIALIZE adjustNode :: (Int -> Node a -> Node a) -> Int -> Node (Node a) -> Node (Node a) #-}
adjustNode      :: (Sized a, MaybeForce a) => (Int -> a -> a) -> Int -> Node a -> Node a
adjustNode :: (Int -> a -> a) -> Int -> Node a -> Node a
adjustNode f :: Int -> a -> a
f i :: Int
i (Node2 s :: Int
s a :: a
a b :: a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = let fia :: a
fia = Int -> a -> a
f Int
i a
a in a
fia a -> Node a -> Node a
forall a b. MaybeForce a => a -> b -> b
`mseq` Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 Int
s a
fia a
b
  | Bool
otherwise   = let fisab :: a
fisab = Int -> a -> a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b in a
fisab a -> Node a -> Node a
forall a b. MaybeForce a => a -> b -> b
`mseq` Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 Int
s a
a a
fisab
  where
    sa :: Int
sa      = a -> Int
forall a. Sized a => a -> Int
size a
a
adjustNode f :: Int -> a -> a
f i :: Int
i (Node3 s :: Int
s a :: a
a b :: a
b c :: a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = let fia :: a
fia = Int -> a -> a
f Int
i a
a in a
fia a -> Node a -> Node a
forall a b. MaybeForce a => a -> b -> b
`mseq` Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
fia a
b a
c
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = let fisab :: a
fisab = Int -> a -> a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b in a
fisab a -> Node a -> Node a
forall a b. MaybeForce a => a -> b -> b
`mseq` Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
a a
fisab a
c
  | Bool
otherwise   = let fisabc :: a
fisabc = Int -> a -> a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) a
c in a
fisabc a -> Node a -> Node a
forall a b. MaybeForce a => a -> b -> b
`mseq` Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
a a
b a
fisabc
  where
    sa :: Int
sa      = a -> Int
forall a. Sized a => a -> Int
size a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b

{-# SPECIALIZE adjustDigit :: (Int -> Elem a -> Elem a) -> Int -> Digit (Elem a) -> Digit (Elem a) #-}
{-# SPECIALIZE adjustDigit :: (Int -> Node a -> Node a) -> Int -> Digit (Node a) -> Digit (Node a) #-}
adjustDigit     :: (Sized a, MaybeForce a) => (Int -> a -> a) -> Int -> Digit a -> Digit a
adjustDigit :: (Int -> a -> a) -> Int -> Digit a -> Digit a
adjustDigit f :: Int -> a -> a
f !Int
i (One a :: a
a) = a -> Digit a
forall a. a -> Digit a
One (a -> Digit a) -> a -> Digit a
forall a b. MaybeForce a => (a -> b) -> a -> b
$!? Int -> a -> a
f Int
i a
a
adjustDigit f :: Int -> a -> a
f i :: Int
i (Two a :: a
a b :: a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = let fia :: a
fia = Int -> a -> a
f Int
i a
a in a
fia a -> Digit a -> Digit a
forall a b. MaybeForce a => a -> b -> b
`mseq` a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
fia a
b
  | Bool
otherwise   = let fisab :: a
fisab = Int -> a -> a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b in a
fisab a -> Digit a -> Digit a
forall a b. MaybeForce a => a -> b -> b
`mseq` a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
fisab
  where
    sa :: Int
sa      = a -> Int
forall a. Sized a => a -> Int
size a
a
adjustDigit f :: Int -> a -> a
f i :: Int
i (Three a :: a
a b :: a
b c :: a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = let fia :: a
fia = Int -> a -> a
f Int
i a
a in a
fia a -> Digit a -> Digit a
forall a b. MaybeForce a => a -> b -> b
`mseq` a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
fia a
b a
c
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = let fisab :: a
fisab = Int -> a -> a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b in a
fisab a -> Digit a -> Digit a
forall a b. MaybeForce a => a -> b -> b
`mseq` a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
fisab a
c
  | Bool
otherwise   = let fisabc :: a
fisabc = Int -> a -> a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) a
c in a
fisabc a -> Digit a -> Digit a
forall a b. MaybeForce a => a -> b -> b
`mseq` a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b a
fisabc
  where
    sa :: Int
sa      = a -> Int
forall a. Sized a => a -> Int
size a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b
adjustDigit f :: Int -> a -> a
f i :: Int
i (Four a :: a
a b :: a
b c :: a
c d :: a
d)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = let fia :: a
fia = Int -> a -> a
f Int
i a
a in a
fia a -> Digit a -> Digit a
forall a b. MaybeForce a => a -> b -> b
`mseq` a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
fia a
b a
c a
d
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = let fisab :: a
fisab = Int -> a -> a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b in a
fisab a -> Digit a -> Digit a
forall a b. MaybeForce a => a -> b -> b
`mseq` a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
fisab a
c a
d
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sabc    = let fisabc :: a
fisabc = Int -> a -> a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) a
c in a
fisabc a -> Digit a -> Digit a
forall a b. MaybeForce a => a -> b -> b
`mseq` a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b a
fisabc a
d
  | Bool
otherwise   = let fisabcd :: a
fisabcd = Int -> a -> a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sabc) a
d in a
fisabcd a -> Digit a -> Digit a
forall a b. MaybeForce a => a -> b -> b
`mseq` a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b a
c a
fisabcd
  where
    sa :: Int
sa      = a -> Int
forall a. Sized a => a -> Int
size a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b
    sabc :: Int
sabc    = Int
sab Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
c

-- | \( O(\log(\min(i,n-i))) \). @'insertAt' i x xs@ inserts @x@ into @xs@
-- at the index @i@, shifting the rest of the sequence over.
--
-- @
-- insertAt 2 x (fromList [a,b,c,d]) = fromList [a,b,x,c,d]
-- insertAt 4 x (fromList [a,b,c,d]) = insertAt 10 x (fromList [a,b,c,d])
--                                   = fromList [a,b,c,d,x]
-- @
--
-- prop> insertAt i x xs = take i xs >< singleton x >< drop i xs
--
-- @since 0.5.8
insertAt :: Int -> a -> Seq a -> Seq a
insertAt :: Int -> a -> Seq a -> Seq a
insertAt i :: Int
i a :: a
a s :: Seq a
s@(Seq xs :: FingerTree (Elem a)
xs)
  | Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral Int
i Word -> Word -> Bool
forall a. Ord a => a -> a -> Bool
< (Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral (FingerTree (Elem a) -> Int
forall a. Sized a => a -> Int
size FingerTree (Elem a)
xs) :: Word)
      = FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq ((Int -> Elem a -> Ins (Elem a))
-> Int -> FingerTree (Elem a) -> FingerTree (Elem a)
forall a.
Sized a =>
(Int -> a -> Ins a) -> Int -> FingerTree a -> FingerTree a
insTree (Int -> (Elem a -> Ins (Elem a)) -> Elem a -> Ins (Elem a)
forall a b. a -> b -> b
`seq` Elem a -> Elem a -> Ins (Elem a)
forall a. a -> a -> Ins a
InsTwo (a -> Elem a
forall a. a -> Elem a
Elem a
a)) Int
i FingerTree (Elem a)
xs)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
<= 0 = a
a a -> Seq a -> Seq a
forall a. a -> Seq a -> Seq a
<| Seq a
s
  | Bool
otherwise = Seq a
s Seq a -> a -> Seq a
forall a. Seq a -> a -> Seq a
|> a
a

data Ins a = InsOne a | InsTwo a a

{-# SPECIALIZE insTree :: (Int -> Elem a -> Ins (Elem a)) -> Int -> FingerTree (Elem a) -> FingerTree (Elem a) #-}
{-# SPECIALIZE insTree :: (Int -> Node a -> Ins (Node a)) -> Int -> FingerTree (Node a) -> FingerTree (Node a) #-}
insTree      :: Sized a => (Int -> a -> Ins a) ->
             Int -> FingerTree a -> FingerTree a
insTree :: (Int -> a -> Ins a) -> Int -> FingerTree a -> FingerTree a
insTree _ !Int
_ EmptyT = FingerTree a
forall a. FingerTree a
EmptyT -- Unreachable
insTree f :: Int -> a -> Ins a
f i :: Int
i (Single x :: a
x) = case Int -> a -> Ins a
f Int
i a
x of
  InsOne x' :: a
x' -> a -> FingerTree a
forall a. a -> FingerTree a
Single a
x'
  InsTwo m :: a
m n :: a
n -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep (a -> Digit a
forall a. a -> Digit a
One a
m) FingerTree (Node a)
forall a. FingerTree a
EmptyT (a -> Digit a
forall a. a -> Digit a
One a
n)
insTree f :: Int -> a -> Ins a
f i :: Int
i (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m sf :: Digit a
sf)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spr     = case (Int -> a -> Ins a) -> Int -> Digit a -> InsDigNode a
forall a.
Sized a =>
(Int -> a -> Ins a) -> Int -> Digit a -> InsDigNode a
insLeftDigit Int -> a -> Ins a
f Int
i Digit a
pr of
     InsLeftDig pr' :: Digit a
pr' -> Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1) Digit a
pr' FingerTree (Node a)
m Digit a
sf
     InsDigNode pr' :: Digit a
pr' n :: Node a
n -> FingerTree (Node a)
m FingerTree (Node a) -> FingerTree a -> FingerTree a
forall a b. a -> b -> b
`seq` Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1) Digit a
pr' (Node a
n Node a -> FingerTree (Node a) -> FingerTree (Node a)
forall a. Sized a => a -> FingerTree a -> FingerTree a
`consTree` FingerTree (Node a)
m) Digit a
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spm     = let !m' :: FingerTree (Node a)
m' = (Int -> Node a -> Ins (Node a))
-> Int -> FingerTree (Node a) -> FingerTree (Node a)
forall a.
Sized a =>
(Int -> a -> Ins a) -> Int -> FingerTree a -> FingerTree a
insTree ((Int -> a -> Ins a) -> Int -> Node a -> Ins (Node a)
forall a.
Sized a =>
(Int -> a -> Ins a) -> Int -> Node a -> Ins (Node a)
insNode Int -> a -> Ins a
f) (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spr) FingerTree (Node a)
m
                  in Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1) Digit a
pr FingerTree (Node a)
m' Digit a
sf
  | Bool
otherwise   = case (Int -> a -> Ins a) -> Int -> Digit a -> InsNodeDig a
forall a.
Sized a =>
(Int -> a -> Ins a) -> Int -> Digit a -> InsNodeDig a
insRightDigit Int -> a -> Ins a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spm) Digit a
sf of
     InsRightDig sf' :: Digit a
sf' -> Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1) Digit a
pr FingerTree (Node a)
m Digit a
sf'
     InsNodeDig n :: Node a
n sf' :: Digit a
sf' -> FingerTree (Node a)
m FingerTree (Node a) -> FingerTree a -> FingerTree a
forall a b. a -> b -> b
`seq` Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1) Digit a
pr (FingerTree (Node a)
m FingerTree (Node a) -> Node a -> FingerTree (Node a)
forall a. Sized a => FingerTree a -> a -> FingerTree a
`snocTree` Node a
n) Digit a
sf'
  where
    spr :: Int
spr     = Digit a -> Int
forall a. Sized a => a -> Int
size Digit a
pr
    spm :: Int
spm     = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node a) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node a)
m

{-# SPECIALIZE insNode :: (Int -> Elem a -> Ins (Elem a)) -> Int -> Node (Elem a) -> Ins (Node (Elem a)) #-}
{-# SPECIALIZE insNode :: (Int -> Node a -> Ins (Node a)) -> Int -> Node (Node a) -> Ins (Node (Node a)) #-}
insNode :: Sized a => (Int -> a -> Ins a) -> Int -> Node a -> Ins (Node a)
insNode :: (Int -> a -> Ins a) -> Int -> Node a -> Ins (Node a)
insNode f :: Int -> a -> Ins a
f i :: Int
i (Node2 s :: Int
s a :: a
a b :: a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa = case Int -> a -> Ins a
f Int
i a
a of
      InsOne n :: a
n -> Node a -> Ins (Node a)
forall a. a -> Ins a
InsOne (Node a -> Ins (Node a)) -> Node a -> Ins (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1) a
n a
b
      InsTwo m :: a
m n :: a
n -> Node a -> Ins (Node a)
forall a. a -> Ins a
InsOne (Node a -> Ins (Node a)) -> Node a -> Ins (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1) a
m a
n a
b
  | Bool
otherwise = case Int -> a -> Ins a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b of
      InsOne n :: a
n -> Node a -> Ins (Node a)
forall a. a -> Ins a
InsOne (Node a -> Ins (Node a)) -> Node a -> Ins (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1) a
a a
n
      InsTwo m :: a
m n :: a
n -> Node a -> Ins (Node a)
forall a. a -> Ins a
InsOne (Node a -> Ins (Node a)) -> Node a -> Ins (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1) a
a a
m a
n
  where sa :: Int
sa = a -> Int
forall a. Sized a => a -> Int
size a
a
insNode f :: Int -> a -> Ins a
f i :: Int
i (Node3 s :: Int
s a :: a
a b :: a
b c :: a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa = case Int -> a -> Ins a
f Int
i a
a of
      InsOne n :: a
n -> Node a -> Ins (Node a)
forall a. a -> Ins a
InsOne (Node a -> Ins (Node a)) -> Node a -> Ins (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1) a
n a
b a
c
      InsTwo m :: a
m n :: a
n -> Node a -> Node a -> Ins (Node a)
forall a. a -> a -> Ins a
InsTwo (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1) a
m a
n) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab = case Int -> a -> Ins a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b of
      InsOne n :: a
n -> Node a -> Ins (Node a)
forall a. a -> Ins a
InsOne (Node a -> Ins (Node a)) -> Node a -> Ins (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1) a
a a
n a
c
      InsTwo m :: a
m n :: a
n -> Node a -> Node a -> Ins (Node a)
forall a. a -> a -> Ins a
InsTwo Node a
am Node a
nc
        where !am :: Node a
am = a -> a -> Node a
forall a. Sized a => a -> a -> Node a
node2 a
a a
m
              !nc :: Node a
nc = a -> a -> Node a
forall a. Sized a => a -> a -> Node a
node2 a
n a
c
  | Bool
otherwise = case Int -> a -> Ins a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) a
c of
      InsOne n :: a
n -> Node a -> Ins (Node a)
forall a. a -> Ins a
InsOne (Node a -> Ins (Node a)) -> Node a -> Ins (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1) a
a a
b a
n
      InsTwo m :: a
m n :: a
n -> Node a -> Node a -> Ins (Node a)
forall a. a -> a -> Ins a
InsTwo (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 Int
sab a
a a
b) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1) a
m a
n)
  where sa :: Int
sa = a -> Int
forall a. Sized a => a -> Int
size a
a
        sab :: Int
sab = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b

data InsDigNode a = InsLeftDig !(Digit a) | InsDigNode !(Digit a) !(Node a)
{-# SPECIALIZE insLeftDigit :: (Int -> Elem a -> Ins (Elem a)) -> Int -> Digit (Elem a) -> InsDigNode (Elem a) #-}
{-# SPECIALIZE insLeftDigit :: (Int -> Node a -> Ins (Node a)) -> Int -> Digit (Node a) -> InsDigNode (Node a) #-}
insLeftDigit :: Sized a => (Int -> a -> Ins a) -> Int -> Digit a -> InsDigNode a
insLeftDigit :: (Int -> a -> Ins a) -> Int -> Digit a -> InsDigNode a
insLeftDigit f :: Int -> a -> Ins a
f !Int
i (One a :: a
a) = case Int -> a -> Ins a
f Int
i a
a of
  InsOne a' :: a
a' -> Digit a -> InsDigNode a
forall a. Digit a -> InsDigNode a
InsLeftDig (Digit a -> InsDigNode a) -> Digit a -> InsDigNode a
forall a b. (a -> b) -> a -> b
$ a -> Digit a
forall a. a -> Digit a
One a
a'
  InsTwo a1 :: a
a1 a2 :: a
a2 -> Digit a -> InsDigNode a
forall a. Digit a -> InsDigNode a
InsLeftDig (Digit a -> InsDigNode a) -> Digit a -> InsDigNode a
forall a b. (a -> b) -> a -> b
$ a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a1 a
a2
insLeftDigit f :: Int -> a -> Ins a
f i :: Int
i (Two a :: a
a b :: a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa = case Int -> a -> Ins a
f Int
i a
a of
     InsOne a' :: a
a' -> Digit a -> InsDigNode a
forall a. Digit a -> InsDigNode a
InsLeftDig (Digit a -> InsDigNode a) -> Digit a -> InsDigNode a
forall a b. (a -> b) -> a -> b
$ a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a' a
b
     InsTwo a1 :: a
a1 a2 :: a
a2 -> Digit a -> InsDigNode a
forall a. Digit a -> InsDigNode a
InsLeftDig (Digit a -> InsDigNode a) -> Digit a -> InsDigNode a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a1 a
a2 a
b
  | Bool
otherwise = case Int -> a -> Ins a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b of
     InsOne b' :: a
b' -> Digit a -> InsDigNode a
forall a. Digit a -> InsDigNode a
InsLeftDig (Digit a -> InsDigNode a) -> Digit a -> InsDigNode a
forall a b. (a -> b) -> a -> b
$ a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b'
     InsTwo b1 :: a
b1 b2 :: a
b2 -> Digit a -> InsDigNode a
forall a. Digit a -> InsDigNode a
InsLeftDig (Digit a -> InsDigNode a) -> Digit a -> InsDigNode a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b1 a
b2
  where sa :: Int
sa = a -> Int
forall a. Sized a => a -> Int
size a
a
insLeftDigit f :: Int -> a -> Ins a
f i :: Int
i (Three a :: a
a b :: a
b c :: a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa = case Int -> a -> Ins a
f Int
i a
a of
     InsOne a' :: a
a' -> Digit a -> InsDigNode a
forall a. Digit a -> InsDigNode a
InsLeftDig (Digit a -> InsDigNode a) -> Digit a -> InsDigNode a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a' a
b a
c
     InsTwo a1 :: a
a1 a2 :: a
a2 -> Digit a -> InsDigNode a
forall a. Digit a -> InsDigNode a
InsLeftDig (Digit a -> InsDigNode a) -> Digit a -> InsDigNode a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a1 a
a2 a
b a
c
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab = case Int -> a -> Ins a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b of
     InsOne b' :: a
b' -> Digit a -> InsDigNode a
forall a. Digit a -> InsDigNode a
InsLeftDig (Digit a -> InsDigNode a) -> Digit a -> InsDigNode a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b' a
c
     InsTwo b1 :: a
b1 b2 :: a
b2 -> Digit a -> InsDigNode a
forall a. Digit a -> InsDigNode a
InsLeftDig (Digit a -> InsDigNode a) -> Digit a -> InsDigNode a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b1 a
b2 a
c
  | Bool
otherwise = case Int -> a -> Ins a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) a
c of
     InsOne c' :: a
c' -> Digit a -> InsDigNode a
forall a. Digit a -> InsDigNode a
InsLeftDig (Digit a -> InsDigNode a) -> Digit a -> InsDigNode a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b a
c'
     InsTwo c1 :: a
c1 c2 :: a
c2 -> Digit a -> InsDigNode a
forall a. Digit a -> InsDigNode a
InsLeftDig (Digit a -> InsDigNode a) -> Digit a -> InsDigNode a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b a
c1 a
c2
  where sa :: Int
sa = a -> Int
forall a. Sized a => a -> Int
size a
a
        sab :: Int
sab = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b
insLeftDigit f :: Int -> a -> Ins a
f i :: Int
i (Four a :: a
a b :: a
b c :: a
c d :: a
d)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa = case Int -> a -> Ins a
f Int
i a
a of
     InsOne a' :: a
a' -> Digit a -> InsDigNode a
forall a. Digit a -> InsDigNode a
InsLeftDig (Digit a -> InsDigNode a) -> Digit a -> InsDigNode a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a' a
b a
c a
d
     InsTwo a1 :: a
a1 a2 :: a
a2 -> Digit a -> Node a -> InsDigNode a
forall a. Digit a -> Node a -> InsDigNode a
InsDigNode (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a1 a
a2) (a -> a -> a -> Node a
forall a. Sized a => a -> a -> a -> Node a
node3 a
b a
c a
d)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab = case Int -> a -> Ins a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b of
     InsOne b' :: a
b' -> Digit a -> InsDigNode a
forall a. Digit a -> InsDigNode a
InsLeftDig (Digit a -> InsDigNode a) -> Digit a -> InsDigNode a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b' a
c a
d
     InsTwo b1 :: a
b1 b2 :: a
b2 -> Digit a -> Node a -> InsDigNode a
forall a. Digit a -> Node a -> InsDigNode a
InsDigNode (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b1) (a -> a -> a -> Node a
forall a. Sized a => a -> a -> a -> Node a
node3 a
b2 a
c a
d)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sabc = case Int -> a -> Ins a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) a
c of
     InsOne c' :: a
c' -> Digit a -> InsDigNode a
forall a. Digit a -> InsDigNode a
InsLeftDig (Digit a -> InsDigNode a) -> Digit a -> InsDigNode a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b a
c' a
d
     InsTwo c1 :: a
c1 c2 :: a
c2 -> Digit a -> Node a -> InsDigNode a
forall a. Digit a -> Node a -> InsDigNode a
InsDigNode (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b) (a -> a -> a -> Node a
forall a. Sized a => a -> a -> a -> Node a
node3 a
c1 a
c2 a
d)
  | Bool
otherwise = case Int -> a -> Ins a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sabc) a
d of
     InsOne d' :: a
d' -> Digit a -> InsDigNode a
forall a. Digit a -> InsDigNode a
InsLeftDig (Digit a -> InsDigNode a) -> Digit a -> InsDigNode a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b a
c a
d'
     InsTwo d1 :: a
d1 d2 :: a
d2 -> Digit a -> Node a -> InsDigNode a
forall a. Digit a -> Node a -> InsDigNode a
InsDigNode (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b) (a -> a -> a -> Node a
forall a. Sized a => a -> a -> a -> Node a
node3 a
c a
d1 a
d2)
  where sa :: Int
sa = a -> Int
forall a. Sized a => a -> Int
size a
a
        sab :: Int
sab = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b
        sabc :: Int
sabc = Int
sab Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
c

data InsNodeDig a = InsRightDig !(Digit a) | InsNodeDig !(Node a) !(Digit a)
{-# SPECIALIZE insRightDigit :: (Int -> Elem a -> Ins (Elem a)) -> Int -> Digit (Elem a) -> InsNodeDig (Elem a) #-}
{-# SPECIALIZE insRightDigit :: (Int -> Node a -> Ins (Node a)) -> Int -> Digit (Node a) -> InsNodeDig (Node a) #-}
insRightDigit :: Sized a => (Int -> a -> Ins a) -> Int -> Digit a -> InsNodeDig a
insRightDigit :: (Int -> a -> Ins a) -> Int -> Digit a -> InsNodeDig a
insRightDigit f :: Int -> a -> Ins a
f !Int
i (One a :: a
a) = case Int -> a -> Ins a
f Int
i a
a of
  InsOne a' :: a
a' -> Digit a -> InsNodeDig a
forall a. Digit a -> InsNodeDig a
InsRightDig (Digit a -> InsNodeDig a) -> Digit a -> InsNodeDig a
forall a b. (a -> b) -> a -> b
$ a -> Digit a
forall a. a -> Digit a
One a
a'
  InsTwo a1 :: a
a1 a2 :: a
a2 -> Digit a -> InsNodeDig a
forall a. Digit a -> InsNodeDig a
InsRightDig (Digit a -> InsNodeDig a) -> Digit a -> InsNodeDig a
forall a b. (a -> b) -> a -> b
$ a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a1 a
a2
insRightDigit f :: Int -> a -> Ins a
f i :: Int
i (Two a :: a
a b :: a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa = case Int -> a -> Ins a
f Int
i a
a of
     InsOne a' :: a
a' -> Digit a -> InsNodeDig a
forall a. Digit a -> InsNodeDig a
InsRightDig (Digit a -> InsNodeDig a) -> Digit a -> InsNodeDig a
forall a b. (a -> b) -> a -> b
$ a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a' a
b
     InsTwo a1 :: a
a1 a2 :: a
a2 -> Digit a -> InsNodeDig a
forall a. Digit a -> InsNodeDig a
InsRightDig (Digit a -> InsNodeDig a) -> Digit a -> InsNodeDig a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a1 a
a2 a
b
  | Bool
otherwise = case Int -> a -> Ins a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b of
     InsOne b' :: a
b' -> Digit a -> InsNodeDig a
forall a. Digit a -> InsNodeDig a
InsRightDig (Digit a -> InsNodeDig a) -> Digit a -> InsNodeDig a
forall a b. (a -> b) -> a -> b
$ a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b'
     InsTwo b1 :: a
b1 b2 :: a
b2 -> Digit a -> InsNodeDig a
forall a. Digit a -> InsNodeDig a
InsRightDig (Digit a -> InsNodeDig a) -> Digit a -> InsNodeDig a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b1 a
b2
  where sa :: Int
sa = a -> Int
forall a. Sized a => a -> Int
size a
a
insRightDigit f :: Int -> a -> Ins a
f i :: Int
i (Three a :: a
a b :: a
b c :: a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa = case Int -> a -> Ins a
f Int
i a
a of
     InsOne a' :: a
a' -> Digit a -> InsNodeDig a
forall a. Digit a -> InsNodeDig a
InsRightDig (Digit a -> InsNodeDig a) -> Digit a -> InsNodeDig a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a' a
b a
c
     InsTwo a1 :: a
a1 a2 :: a
a2 -> Digit a -> InsNodeDig a
forall a. Digit a -> InsNodeDig a
InsRightDig (Digit a -> InsNodeDig a) -> Digit a -> InsNodeDig a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a1 a
a2 a
b a
c
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab = case Int -> a -> Ins a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b of
     InsOne b' :: a
b' -> Digit a -> InsNodeDig a
forall a. Digit a -> InsNodeDig a
InsRightDig (Digit a -> InsNodeDig a) -> Digit a -> InsNodeDig a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b' a
c
     InsTwo b1 :: a
b1 b2 :: a
b2 -> Digit a -> InsNodeDig a
forall a. Digit a -> InsNodeDig a
InsRightDig (Digit a -> InsNodeDig a) -> Digit a -> InsNodeDig a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b1 a
b2 a
c
  | Bool
otherwise = case Int -> a -> Ins a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) a
c of
     InsOne c' :: a
c' -> Digit a -> InsNodeDig a
forall a. Digit a -> InsNodeDig a
InsRightDig (Digit a -> InsNodeDig a) -> Digit a -> InsNodeDig a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b a
c'
     InsTwo c1 :: a
c1 c2 :: a
c2 -> Digit a -> InsNodeDig a
forall a. Digit a -> InsNodeDig a
InsRightDig (Digit a -> InsNodeDig a) -> Digit a -> InsNodeDig a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b a
c1 a
c2
  where sa :: Int
sa = a -> Int
forall a. Sized a => a -> Int
size a
a
        sab :: Int
sab = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b
insRightDigit f :: Int -> a -> Ins a
f i :: Int
i (Four a :: a
a b :: a
b c :: a
c d :: a
d)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa = case Int -> a -> Ins a
f Int
i a
a of
     InsOne a' :: a
a' -> Digit a -> InsNodeDig a
forall a. Digit a -> InsNodeDig a
InsRightDig (Digit a -> InsNodeDig a) -> Digit a -> InsNodeDig a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a' a
b a
c a
d
     InsTwo a1 :: a
a1 a2 :: a
a2 -> Node a -> Digit a -> InsNodeDig a
forall a. Node a -> Digit a -> InsNodeDig a
InsNodeDig (a -> a -> a -> Node a
forall a. Sized a => a -> a -> a -> Node a
node3 a
a1 a
a2 a
b) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
c a
d)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab = case Int -> a -> Ins a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) a
b of
     InsOne b' :: a
b' -> Digit a -> InsNodeDig a
forall a. Digit a -> InsNodeDig a
InsRightDig (Digit a -> InsNodeDig a) -> Digit a -> InsNodeDig a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b' a
c a
d
     InsTwo b1 :: a
b1 b2 :: a
b2 -> Node a -> Digit a -> InsNodeDig a
forall a. Node a -> Digit a -> InsNodeDig a
InsNodeDig (a -> a -> a -> Node a
forall a. Sized a => a -> a -> a -> Node a
node3 a
a a
b1 a
b2) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
c a
d)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sabc = case Int -> a -> Ins a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) a
c of
     InsOne c' :: a
c' -> Digit a -> InsNodeDig a
forall a. Digit a -> InsNodeDig a
InsRightDig (Digit a -> InsNodeDig a) -> Digit a -> InsNodeDig a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b a
c' a
d
     InsTwo c1 :: a
c1 c2 :: a
c2 -> Node a -> Digit a -> InsNodeDig a
forall a. Node a -> Digit a -> InsNodeDig a
InsNodeDig (a -> a -> a -> Node a
forall a. Sized a => a -> a -> a -> Node a
node3 a
a a
b a
c1) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
c2 a
d)
  | Bool
otherwise = case Int -> a -> Ins a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sabc) a
d of
     InsOne d' :: a
d' -> Digit a -> InsNodeDig a
forall a. Digit a -> InsNodeDig a
InsRightDig (Digit a -> InsNodeDig a) -> Digit a -> InsNodeDig a
forall a b. (a -> b) -> a -> b
$ a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b a
c a
d'
     InsTwo d1 :: a
d1 d2 :: a
d2 -> Node a -> Digit a -> InsNodeDig a
forall a. Node a -> Digit a -> InsNodeDig a
InsNodeDig (a -> a -> a -> Node a
forall a. Sized a => a -> a -> a -> Node a
node3 a
a a
b a
c) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
d1 a
d2)
  where sa :: Int
sa = a -> Int
forall a. Sized a => a -> Int
size a
a
        sab :: Int
sab = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b
        sabc :: Int
sabc = Int
sab Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
c

-- | \( O(\log(\min(i,n-i))) \). Delete the element of a sequence at a given
-- index. Return the original sequence if the index is out of range.
--
-- @
-- deleteAt 2 [a,b,c,d] = [a,b,d]
-- deleteAt 4 [a,b,c,d] = deleteAt (-1) [a,b,c,d] = [a,b,c,d]
-- @
--
-- @since 0.5.8
deleteAt :: Int -> Seq a -> Seq a
deleteAt :: Int -> Seq a -> Seq a
deleteAt i :: Int
i (Seq xs :: FingerTree (Elem a)
xs)
  | Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral Int
i Word -> Word -> Bool
forall a. Ord a => a -> a -> Bool
< (Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral (FingerTree (Elem a) -> Int
forall a. Sized a => a -> Int
size FingerTree (Elem a)
xs) :: Word) = FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem a) -> Seq a) -> FingerTree (Elem a) -> Seq a
forall a b. (a -> b) -> a -> b
$ Int -> FingerTree (Elem a) -> FingerTree (Elem a)
forall a. Int -> FingerTree (Elem a) -> FingerTree (Elem a)
delTreeE Int
i FingerTree (Elem a)
xs
  | Bool
otherwise = FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq FingerTree (Elem a)
xs

delTreeE :: Int -> FingerTree (Elem a) -> FingerTree (Elem a)
delTreeE :: Int -> FingerTree (Elem a) -> FingerTree (Elem a)
delTreeE !Int
_i EmptyT = FingerTree (Elem a)
forall a. FingerTree a
EmptyT -- Unreachable
delTreeE _i :: Int
_i Single{} = FingerTree (Elem a)
forall a. FingerTree a
EmptyT
delTreeE i :: Int
i (Deep s :: Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spr = Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
delLeftDigitE Int
i Int
s Digit (Elem a)
pr FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spm = case (Int -> Node (Elem a) -> Del (Elem a))
-> Int -> FingerTree (Node (Elem a)) -> DelTree (Elem a)
forall a.
Sized a =>
(Int -> Node a -> Del a) -> Int -> FingerTree (Node a) -> DelTree a
delTree Int -> Node (Elem a) -> Del (Elem a)
forall a. Int -> Node (Elem a) -> Del (Elem a)
delNodeE (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spr) FingerTree (Node (Elem a))
m of
     FullTree m' :: FingerTree (Node (Elem a))
m' -> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m' Digit (Elem a)
sf
     DefectTree e :: Elem a
e -> Int
-> Digit (Elem a)
-> Elem a
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a. Sized a => Int -> Digit a -> a -> Digit a -> FingerTree a
delRebuildMiddle (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr Elem a
e Digit (Elem a)
sf
  | Bool
otherwise = Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
delRightDigitE (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spm) Int
s Digit (Elem a)
pr FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  where spr :: Int
spr = Digit (Elem a) -> Int
forall a. Sized a => a -> Int
size Digit (Elem a)
pr
        spm :: Int
spm = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Elem a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a))
m

delNodeE :: Int -> Node (Elem a) -> Del (Elem a)
delNodeE :: Int -> Node (Elem a) -> Del (Elem a)
delNodeE i :: Int
i (Node3 _ a :: Elem a
a b :: Elem a
b c :: Elem a
c) = case Int
i of
  0 -> Node (Elem a) -> Del (Elem a)
forall a. Node a -> Del a
Full (Node (Elem a) -> Del (Elem a)) -> Node (Elem a) -> Del (Elem a)
forall a b. (a -> b) -> a -> b
$ Int -> Elem a -> Elem a -> Node (Elem a)
forall a. Int -> a -> a -> Node a
Node2 2 Elem a
b Elem a
c
  1 -> Node (Elem a) -> Del (Elem a)
forall a. Node a -> Del a
Full (Node (Elem a) -> Del (Elem a)) -> Node (Elem a) -> Del (Elem a)
forall a b. (a -> b) -> a -> b
$ Int -> Elem a -> Elem a -> Node (Elem a)
forall a. Int -> a -> a -> Node a
Node2 2 Elem a
a Elem a
c
  _ -> Node (Elem a) -> Del (Elem a)
forall a. Node a -> Del a
Full (Node (Elem a) -> Del (Elem a)) -> Node (Elem a) -> Del (Elem a)
forall a b. (a -> b) -> a -> b
$ Int -> Elem a -> Elem a -> Node (Elem a)
forall a. Int -> a -> a -> Node a
Node2 2 Elem a
a Elem a
b
delNodeE i :: Int
i (Node2 _ a :: Elem a
a b :: Elem a
b) = case Int
i of
  0 -> Elem a -> Del (Elem a)
forall a. a -> Del a
Defect Elem a
b
  _ -> Elem a -> Del (Elem a)
forall a. a -> Del a
Defect Elem a
a


delLeftDigitE :: Int -> Int -> Digit (Elem a) -> FingerTree (Node (Elem a)) -> Digit (Elem a) -> FingerTree (Elem a)
delLeftDigitE :: Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
delLeftDigitE !Int
_i s :: Int
s One{} m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf = Int
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
delLeftDigitE i :: Int
i s :: Int
s (Two a :: Elem a
a b :: Elem a
b) m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== 0 = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
b) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  | Bool
otherwise = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
delLeftDigitE i :: Int
i s :: Int
s (Three a :: Elem a
a b :: Elem a
b c :: Elem a
c) m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== 0 = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
b Elem a
c) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== 1 = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
c) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  | Bool
otherwise = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
b) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
delLeftDigitE i :: Int
i s :: Int
s (Four a :: Elem a
a b :: Elem a
b c :: Elem a
c d :: Elem a
d) m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== 0 = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
b Elem a
c Elem a
d) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== 1 = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
a Elem a
c Elem a
d) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== 2 = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
a Elem a
b Elem a
d) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  | Bool
otherwise = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
a Elem a
b Elem a
c) FingerTree (Node (Elem a))
m Digit (Elem a)
sf

delRightDigitE :: Int -> Int -> Digit (Elem a) -> FingerTree (Node (Elem a)) -> Digit (Elem a) -> FingerTree (Elem a)
delRightDigitE :: Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
delRightDigitE !Int
_i s :: Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m One{} = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Elem a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m
delRightDigitE i :: Int
i s :: Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m (Two a :: Elem a
a b :: Elem a
b)
  | Int
i Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== 0 = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
b)
  | Bool
otherwise = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a)
delRightDigitE i :: Int
i s :: Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m (Three a :: Elem a
a b :: Elem a
b c :: Elem a
c)
  | Int
i Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== 0 = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
b Elem a
c)
  | Int
i Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== 1 = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
c)
  | Bool
otherwise = Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
b)
delRightDigitE i :: Int
i s :: Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m (Four a :: Elem a
a b :: Elem a
b c :: Elem a
c d :: Elem a
d)
  | Int
i Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== 0 = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
b Elem a
c Elem a
d)
  | Int
i Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== 1 = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
a Elem a
c Elem a
d)
  | Int
i Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== 2 = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
a Elem a
b Elem a
d)
  | Bool
otherwise = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
a Elem a
b Elem a
c)

data DelTree a = FullTree !(FingerTree (Node a)) | DefectTree a

{-# SPECIALIZE delTree :: (Int -> Node (Elem a) -> Del (Elem a)) -> Int -> FingerTree (Node (Elem a)) -> DelTree (Elem a) #-}
{-# SPECIALIZE delTree :: (Int -> Node (Node a) -> Del (Node a)) -> Int -> FingerTree (Node (Node a)) -> DelTree (Node a) #-}
delTree :: Sized a => (Int -> Node a -> Del a) -> Int -> FingerTree (Node a) -> DelTree a
delTree :: (Int -> Node a -> Del a) -> Int -> FingerTree (Node a) -> DelTree a
delTree _f :: Int -> Node a -> Del a
_f !Int
_i EmptyT = FingerTree (Node a) -> DelTree a
forall a. FingerTree (Node a) -> DelTree a
FullTree FingerTree (Node a)
forall a. FingerTree a
EmptyT -- Unreachable
delTree f :: Int -> Node a -> Del a
f i :: Int
i (Single a :: Node a
a) = case Int -> Node a -> Del a
f Int
i Node a
a of
  Full a' :: Node a
a' -> FingerTree (Node a) -> DelTree a
forall a. FingerTree (Node a) -> DelTree a
FullTree (Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single Node a
a')
  Defect e :: a
e -> a -> DelTree a
forall a. a -> DelTree a
DefectTree a
e
delTree f :: Int -> Node a -> Del a
f i :: Int
i (Deep s :: Int
s pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spr = case (Int -> Node a -> Del a) -> Int -> Digit (Node a) -> DelDig a
forall a.
Sized a =>
(Int -> Node a -> Del a) -> Int -> Digit (Node a) -> DelDig a
delDigit Int -> Node a -> Del a
f Int
i Digit (Node a)
pr of
     FullDig pr' :: Digit (Node a)
pr' -> FingerTree (Node a) -> DelTree a
forall a. FingerTree (Node a) -> DelTree a
FullTree (FingerTree (Node a) -> DelTree a)
-> FingerTree (Node a) -> DelTree a
forall a b. (a -> b) -> a -> b
$ Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Node a)
pr' FingerTree (Node (Node a))
m Digit (Node a)
sf
     DefectDig e :: a
e -> case FingerTree (Node (Node a)) -> ViewLTree (Node (Node a))
forall a. Sized a => FingerTree a -> ViewLTree a
viewLTree FingerTree (Node (Node a))
m of
                      EmptyLTree -> FingerTree (Node a) -> DelTree a
forall a. FingerTree (Node a) -> DelTree a
FullTree (FingerTree (Node a) -> DelTree a)
-> FingerTree (Node a) -> DelTree a
forall a b. (a -> b) -> a -> b
$ Int -> a -> Digit (Node a) -> FingerTree (Node a)
forall a.
Sized a =>
Int -> a -> Digit (Node a) -> FingerTree (Node a)
delRebuildRightDigit (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) a
e Digit (Node a)
sf
                      ConsLTree n :: Node (Node a)
n m' :: FingerTree (Node (Node a))
m' -> FingerTree (Node a) -> DelTree a
forall a. FingerTree (Node a) -> DelTree a
FullTree (FingerTree (Node a) -> DelTree a)
-> FingerTree (Node a) -> DelTree a
forall a b. (a -> b) -> a -> b
$ Int
-> a
-> Node (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Sized a =>
Int
-> a
-> Node (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
delRebuildLeftSide (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) a
e Node (Node a)
n FingerTree (Node (Node a))
m' Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spm = case (Int -> Node (Node a) -> Del (Node a))
-> Int -> FingerTree (Node (Node a)) -> DelTree (Node a)
forall a.
Sized a =>
(Int -> Node a -> Del a) -> Int -> FingerTree (Node a) -> DelTree a
delTree ((Int -> Node a -> Del a) -> Int -> Node (Node a) -> Del (Node a)
forall a.
Sized a =>
(Int -> Node a -> Del a) -> Int -> Node (Node a) -> Del (Node a)
delNode Int -> Node a -> Del a
f) (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spr) FingerTree (Node (Node a))
m of
     FullTree m' :: FingerTree (Node (Node a))
m' -> FingerTree (Node a) -> DelTree a
forall a. FingerTree (Node a) -> DelTree a
FullTree (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Node a)
pr FingerTree (Node (Node a))
m' Digit (Node a)
sf)
     DefectTree e :: Node a
e -> FingerTree (Node a) -> DelTree a
forall a. FingerTree (Node a) -> DelTree a
FullTree (FingerTree (Node a) -> DelTree a)
-> FingerTree (Node a) -> DelTree a
forall a b. (a -> b) -> a -> b
$ Int
-> Digit (Node a)
-> Node a
-> Digit (Node a)
-> FingerTree (Node a)
forall a. Sized a => Int -> Digit a -> a -> Digit a -> FingerTree a
delRebuildMiddle (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Node a)
pr Node a
e Digit (Node a)
sf
  | Bool
otherwise = case (Int -> Node a -> Del a) -> Int -> Digit (Node a) -> DelDig a
forall a.
Sized a =>
(Int -> Node a -> Del a) -> Int -> Digit (Node a) -> DelDig a
delDigit Int -> Node a -> Del a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spm) Digit (Node a)
sf of
     FullDig sf' :: Digit (Node a)
sf' -> FingerTree (Node a) -> DelTree a
forall a. FingerTree (Node a) -> DelTree a
FullTree (FingerTree (Node a) -> DelTree a)
-> FingerTree (Node a) -> DelTree a
forall a b. (a -> b) -> a -> b
$ Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Node a)
pr FingerTree (Node (Node a))
m Digit (Node a)
sf'
     DefectDig e :: a
e -> case FingerTree (Node (Node a)) -> ViewRTree (Node (Node a))
forall a. Sized a => FingerTree a -> ViewRTree a
viewRTree FingerTree (Node (Node a))
m of
                      EmptyRTree -> FingerTree (Node a) -> DelTree a
forall a. FingerTree (Node a) -> DelTree a
FullTree (FingerTree (Node a) -> DelTree a)
-> FingerTree (Node a) -> DelTree a
forall a b. (a -> b) -> a -> b
$ Int -> Digit (Node a) -> a -> FingerTree (Node a)
forall a.
Sized a =>
Int -> Digit (Node a) -> a -> FingerTree (Node a)
delRebuildLeftDigit (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Node a)
pr a
e
                      SnocRTree m' :: FingerTree (Node (Node a))
m' n :: Node (Node a)
n -> FingerTree (Node a) -> DelTree a
forall a. FingerTree (Node a) -> DelTree a
FullTree (FingerTree (Node a) -> DelTree a)
-> FingerTree (Node a) -> DelTree a
forall a b. (a -> b) -> a -> b
$ Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Node (Node a)
-> a
-> FingerTree (Node a)
forall a.
Sized a =>
Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Node (Node a)
-> a
-> FingerTree (Node a)
delRebuildRightSide (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Node a)
pr FingerTree (Node (Node a))
m' Node (Node a)
n a
e
  where spr :: Int
spr = Digit (Node a) -> Int
forall a. Sized a => a -> Int
size Digit (Node a)
pr
        spm :: Int
spm = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
m

data Del a = Full !(Node a) | Defect a

{-# SPECIALIZE delNode :: (Int -> Node (Elem a) -> Del (Elem a)) -> Int -> Node (Node (Elem a)) -> Del (Node (Elem a)) #-}
{-# SPECIALIZE delNode :: (Int -> Node (Node a) -> Del (Node a)) -> Int -> Node (Node (Node a)) -> Del (Node (Node a)) #-}
delNode :: Sized a => (Int -> Node a -> Del a) -> Int -> Node (Node a) -> Del (Node a)
delNode :: (Int -> Node a -> Del a) -> Int -> Node (Node a) -> Del (Node a)
delNode f :: Int -> Node a -> Del a
f i :: Int
i (Node3 s :: Int
s a :: Node a
a b :: Node a
b c :: Node a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa = case Int -> Node a -> Del a
f Int
i Node a
a of
     Full a' :: Node a
a' -> Node (Node a) -> Del (Node a)
forall a. Node a -> Del a
Full (Node (Node a) -> Del (Node a)) -> Node (Node a) -> Del (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Node a
a' Node a
b Node a
c
     Defect e :: a
e -> let !se :: Int
se = a -> Int
forall a. Sized a => a -> Int
size a
e in case Node a
b of
       Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Node (Node a) -> Del (Node a)
forall a. Node a -> Del a
Full (Node (Node a) -> Del (Node a)) -> Node (Node a) -> Del (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
se Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sx) a
e a
x) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sx) a
y a
z) Node a
c
         where !sx :: Int
sx = a -> Int
forall a. Sized a => a -> Int
size a
x
       Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Node (Node a) -> Del (Node a)
forall a. Node a -> Del a
Full (Node (Node a) -> Del (Node a)) -> Node (Node a) -> Del (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> Node a
Node2 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sxy Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
e a
x a
y) Node a
c
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab = case Int -> Node a -> Del a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) Node a
b of
     Full b' :: Node a
b' -> Node (Node a) -> Del (Node a)
forall a. Node a -> Del a
Full (Node (Node a) -> Del (Node a)) -> Node (Node a) -> Del (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Node a
a Node a
b' Node a
c
     Defect e :: a
e -> let !se :: Int
se = a -> Int
forall a. Sized a => a -> Int
size a
e in case Node a
a of
       Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Node (Node a) -> Del (Node a)
forall a. Node a -> Del a
Full (Node (Node a) -> Del (Node a)) -> Node (Node a) -> Del (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sz) a
x a
y) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sz Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
z a
e) Node a
c
         where !sz :: Int
sz = a -> Int
forall a. Sized a => a -> Int
size a
z
       Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Node (Node a) -> Del (Node a)
forall a. Node a -> Del a
Full (Node (Node a) -> Del (Node a)) -> Node (Node a) -> Del (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> Node a
Node2 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sxy Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
x a
y a
e) Node a
c
  | Bool
otherwise = case Int -> Node a -> Del a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) Node a
c of
     Full c' :: Node a
c' -> Node (Node a) -> Del (Node a)
forall a. Node a -> Del a
Full (Node (Node a) -> Del (Node a)) -> Node (Node a) -> Del (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Node a
a Node a
b Node a
c'
     Defect e :: a
e -> let !se :: Int
se = a -> Int
forall a. Sized a => a -> Int
size a
e in case Node a
b of
       Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Node (Node a) -> Del (Node a)
forall a. Node a -> Del a
Full (Node (Node a) -> Del (Node a)) -> Node (Node a) -> Del (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Node a
a (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sz) a
x a
y) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sz Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
z a
e)
         where !sz :: Int
sz = a -> Int
forall a. Sized a => a -> Int
size a
z
       Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Node (Node a) -> Del (Node a)
forall a. Node a -> Del a
Full (Node (Node a) -> Del (Node a)) -> Node (Node a) -> Del (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> Node a
Node2 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Node a
a (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sxy Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
x a
y a
e)
  where sa :: Int
sa = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
        sab :: Int
sab = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
delNode f :: Int -> Node a -> Del a
f i :: Int
i (Node2 s :: Int
s a :: Node a
a b :: Node a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa = case Int -> Node a -> Del a
f Int
i Node a
a of
     Full a' :: Node a
a' -> Node (Node a) -> Del (Node a)
forall a. Node a -> Del a
Full (Node (Node a) -> Del (Node a)) -> Node (Node a) -> Del (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> Node a
Node2 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Node a
a' Node a
b
     Defect e :: a
e -> let !se :: Int
se = a -> Int
forall a. Sized a => a -> Int
size a
e in case Node a
b of
       Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Node (Node a) -> Del (Node a)
forall a. Node a -> Del a
Full (Node (Node a) -> Del (Node a)) -> Node (Node a) -> Del (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> Node a
Node2 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
se Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sx) a
e a
x) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sx) a
y a
z)
        where !sx :: Int
sx = a -> Int
forall a. Sized a => a -> Int
size a
x
       Node2 _ x :: a
x y :: a
y -> Node a -> Del (Node a)
forall a. a -> Del a
Defect (Node a -> Del (Node a)) -> Node a -> Del (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) a
e a
x a
y
  | Bool
otherwise = case Int -> Node a -> Del a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) Node a
b of
     Full b' :: Node a
b' -> Node (Node a) -> Del (Node a)
forall a. Node a -> Del a
Full (Node (Node a) -> Del (Node a)) -> Node (Node a) -> Del (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> Node a
Node2 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Node a
a Node a
b'
     Defect e :: a
e -> let !se :: Int
se = a -> Int
forall a. Sized a => a -> Int
size a
e in case Node a
a of
       Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Node (Node a) -> Del (Node a)
forall a. Node a -> Del a
Full (Node (Node a) -> Del (Node a)) -> Node (Node a) -> Del (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> Node a
Node2 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sz) a
x a
y) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sz Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
z a
e)
         where !sz :: Int
sz = a -> Int
forall a. Sized a => a -> Int
size a
z
       Node2 _ x :: a
x y :: a
y -> Node a -> Del (Node a)
forall a. a -> Del a
Defect (Node a -> Del (Node a)) -> Node a -> Del (Node a)
forall a b. (a -> b) -> a -> b
$ Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) a
x a
y a
e
  where sa :: Int
sa = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a

{-# SPECIALIZE delRebuildRightDigit :: Int -> Elem a -> Digit (Node (Elem a)) -> FingerTree (Node (Elem a)) #-}
{-# SPECIALIZE delRebuildRightDigit :: Int -> Node a -> Digit (Node (Node a)) -> FingerTree (Node (Node a)) #-}
delRebuildRightDigit :: Sized a => Int -> a -> Digit (Node a) -> FingerTree (Node a)
delRebuildRightDigit :: Int -> a -> Digit (Node a) -> FingerTree (Node a)
delRebuildRightDigit s :: Int
s p :: a
p (One a :: Node a
a) = let !sp :: Int
sp = a -> Int
forall a. Sized a => a -> Int
size a
p in case Node a
a of
  Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Digit (Node a)
forall a. a -> Digit a
One (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sp Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sx) a
p a
x)) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sx) a
y a
z))
    where !sx :: Int
sx = a -> Int
forall a. Sized a => a -> Int
size a
x
  Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sp Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sxy) a
p a
x a
y)
delRebuildRightDigit s :: Int
s p :: a
p (Two a :: Node a
a b :: Node a
b) = let !sp :: Int
sp = a -> Int
forall a. Sized a => a -> Int
size a
p in case Node a
a of
  Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sp Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sx) a
p a
x) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sx) a
y a
z)) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
b)
    where !sx :: Int
sx = a -> Int
forall a. Sized a => a -> Int
size a
x
  Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Digit (Node a)
forall a. a -> Digit a
One (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sp Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sxy) a
p a
x a
y)) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
b)
delRebuildRightDigit s :: Int
s p :: a
p (Three a :: Node a
a b :: Node a
b c :: Node a
c) = let !sp :: Int
sp = a -> Int
forall a. Sized a => a -> Int
size a
p in case Node a
a of
  Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sp Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sx) a
p a
x) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sx) a
y a
z)) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
b Node a
c)
    where !sx :: Int
sx = a -> Int
forall a. Sized a => a -> Int
size a
x
  Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sp Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sxy) a
p a
x a
y) Node a
b) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
c)
delRebuildRightDigit s :: Int
s p :: a
p (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) = let !sp :: Int
sp = a -> Int
forall a. Sized a => a -> Int
size a
p in case Node a
a of
  Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sp Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sx) a
p a
x) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sx) a
y a
z) Node a
b) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
c Node a
d)
    where !sx :: Int
sx = a -> Int
forall a. Sized a => a -> Int
size a
x
  Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sp Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sxy) a
p a
x a
y) Node a
b) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
c Node a
d)

{-# SPECIALIZE delRebuildLeftDigit :: Int -> Digit (Node (Elem a)) -> Elem a -> FingerTree (Node (Elem a)) #-}
{-# SPECIALIZE delRebuildLeftDigit :: Int -> Digit (Node (Node a)) -> Node a -> FingerTree (Node (Node a)) #-}
delRebuildLeftDigit :: Sized a => Int -> Digit (Node a) -> a -> FingerTree (Node a)
delRebuildLeftDigit :: Int -> Digit (Node a) -> a -> FingerTree (Node a)
delRebuildLeftDigit s :: Int
s (One a :: Node a
a) p :: a
p = let !sp :: Int
sp = a -> Int
forall a. Sized a => a -> Int
size a
p in case Node a
a of
  Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Digit (Node a)
forall a. a -> Digit a
One (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sz) a
x a
y)) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sz Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sp) a
z a
p))
    where !sz :: Int
sz = a -> Int
forall a. Sized a => a -> Int
size a
z
  Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sxy Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sp) a
x a
y a
p)
delRebuildLeftDigit s :: Int
s (Two a :: Node a
a b :: Node a
b) p :: a
p = let !sp :: Int
sp = a -> Int
forall a. Sized a => a -> Int
size a
p in case Node a
b of
  Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
a (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sz) a
x a
y)) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sz Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sp) a
z a
p))
    where !sz :: Int
sz = a -> Int
forall a. Sized a => a -> Int
size a
z
  Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
a) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sxy Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sp) a
x a
y a
p))
delRebuildLeftDigit s :: Int
s (Three a :: Node a
a b :: Node a
b c :: Node a
c) p :: a
p = let !sp :: Int
sp = a -> Int
forall a. Sized a => a -> Int
size a
p in case Node a
c of
  Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
a Node a
b) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sz) a
x a
y) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sz Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sp) a
z a
p))
    where !sz :: Int
sz = a -> Int
forall a. Sized a => a -> Int
size a
z
  Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
a Node a
b) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sxy Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sp) a
x a
y a
p))
delRebuildLeftDigit s :: Int
s (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) p :: a
p = let !sp :: Int
sp = a -> Int
forall a. Sized a => a -> Int
size a
p in case Node a
d of
  Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
a Node a
b Node a
c) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sz) a
x a
y) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sz Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sp) a
z a
p))
    where !sz :: Int
sz = a -> Int
forall a. Sized a => a -> Int
size a
z
  Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
a Node a
b) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
c (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sxy Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sp) a
x a
y a
p))

delRebuildLeftSide :: Sized a
                   => Int -> a -> Node (Node a) -> FingerTree (Node (Node a)) -> Digit (Node a)
                   -> FingerTree (Node a)
delRebuildLeftSide :: Int
-> a
-> Node (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
delRebuildLeftSide s :: Int
s p :: a
p (Node2 _ a :: Node a
a b :: Node a
b) m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf = let !sp :: Int
sp = a -> Int
forall a. Sized a => a -> Int
size a
p in case Node a
a of
  Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sp Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sxy) a
p a
x a
y) Node a
b) FingerTree (Node (Node a))
m Digit (Node a)
sf
  Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sp Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sx) a
p a
x) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sx) a
y a
z) Node a
b) FingerTree (Node (Node a))
m Digit (Node a)
sf
    where !sx :: Int
sx = a -> Int
forall a. Sized a => a -> Int
size a
x
delRebuildLeftSide s :: Int
s p :: a
p (Node3 _ a :: Node a
a b :: Node a
b c :: Node a
c) m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf = let !sp :: Int
sp = a -> Int
forall a. Sized a => a -> Int
size a
p in case Node a
a of
  Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sp Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sxy) a
p a
x a
y) Node a
b Node a
c) FingerTree (Node (Node a))
m Digit (Node a)
sf
  Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Node a -> Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> a -> Digit a
Four (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sp Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sx) a
p a
x) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sx) a
y a
z) Node a
b Node a
c) FingerTree (Node (Node a))
m Digit (Node a)
sf
    where !sx :: Int
sx = a -> Int
forall a. Sized a => a -> Int
size a
x

delRebuildRightSide :: Sized a
                    => Int -> Digit (Node a) -> FingerTree (Node (Node a)) -> Node (Node a) -> a
                    -> FingerTree (Node a)
delRebuildRightSide :: Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Node (Node a)
-> a
-> FingerTree (Node a)
delRebuildRightSide s :: Int
s pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m (Node2 _ a :: Node a
a b :: Node a
b) p :: a
p = let !sp :: Int
sp = a -> Int
forall a. Sized a => a -> Int
size a
p in case Node a
b of
  Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s Digit (Node a)
pr FingerTree (Node (Node a))
m (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
a (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sxy Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sp) a
x a
y a
p))
  Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s Digit (Node a)
pr FingerTree (Node (Node a))
m (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
a (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sz) a
x a
y) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sz Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sp) a
z a
p))
    where !sz :: Int
sz = a -> Int
forall a. Sized a => a -> Int
size a
z
delRebuildRightSide s :: Int
s pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m (Node3 _ a :: Node a
a b :: Node a
b c :: Node a
c) p :: a
p = let !sp :: Int
sp = a -> Int
forall a. Sized a => a -> Int
size a
p in case Node a
c of
  Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s Digit (Node a)
pr FingerTree (Node (Node a))
m (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
a Node a
b (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sxy Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sp) a
x a
y a
p))
  Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s Digit (Node a)
pr FingerTree (Node (Node a))
m (Node a -> Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> a -> Digit a
Four Node a
a Node a
b (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sz) a
x a
y) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sz Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sp) a
z a
p))
    where !sz :: Int
sz = a -> Int
forall a. Sized a => a -> Int
size a
z

delRebuildMiddle :: Sized a
                 => Int -> Digit a -> a -> Digit a
                 -> FingerTree a
delRebuildMiddle :: Int -> Digit a -> a -> Digit a -> FingerTree a
delRebuildMiddle s :: Int
s (One a :: a
a) e :: a
e sf :: Digit a
sf = Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
e) FingerTree (Node a)
forall a. FingerTree a
EmptyT Digit a
sf
delRebuildMiddle s :: Int
s (Two a :: a
a b :: a
b) e :: a
e sf :: Digit a
sf = Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b a
e) FingerTree (Node a)
forall a. FingerTree a
EmptyT Digit a
sf
delRebuildMiddle s :: Int
s (Three a :: a
a b :: a
b c :: a
c) e :: a
e sf :: Digit a
sf = Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b a
c a
e) FingerTree (Node a)
forall a. FingerTree a
EmptyT Digit a
sf
delRebuildMiddle s :: Int
s (Four a :: a
a b :: a
b c :: a
c d :: a
d) e :: a
e sf :: Digit a
sf = Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b) (Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single (a -> a -> a -> Node a
forall a. Sized a => a -> a -> a -> Node a
node3 a
c a
d a
e)) Digit a
sf

data DelDig a = FullDig !(Digit (Node a)) | DefectDig a

{-# SPECIALIZE delDigit :: (Int -> Node (Elem a) -> Del (Elem a)) -> Int -> Digit (Node (Elem a)) -> DelDig (Elem a) #-}
{-# SPECIALIZE delDigit :: (Int -> Node (Node a) -> Del (Node a)) -> Int -> Digit (Node (Node a)) -> DelDig (Node a) #-}
delDigit :: Sized a => (Int -> Node a -> Del a) -> Int -> Digit (Node a) -> DelDig a
delDigit :: (Int -> Node a -> Del a) -> Int -> Digit (Node a) -> DelDig a
delDigit f :: Int -> Node a -> Del a
f !Int
i (One a :: Node a
a) = case Int -> Node a -> Del a
f Int
i Node a
a of
  Full a' :: Node a
a' -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
a'
  Defect e :: a
e -> a -> DelDig a
forall a. a -> DelDig a
DefectDig a
e
delDigit f :: Int -> Node a -> Del a
f i :: Int
i (Two a :: Node a
a b :: Node a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa = case Int -> Node a -> Del a
f Int
i Node a
a of
     Full a' :: Node a
a' -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
a' Node a
b
     Defect e :: a
e -> let !se :: Int
se = a -> Int
forall a. Sized a => a -> Int
size a
e in case Node a
b of
       Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
se Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sx) a
e a
x) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sx) a
y a
z)
         where !sx :: Int
sx = a -> Int
forall a. Sized a => a -> Int
size a
x
       Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Digit (Node a)
forall a. a -> Digit a
One (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
se Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sxy) a
e a
x a
y)
  | Bool
otherwise = case Int -> Node a -> Del a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) Node a
b of
     Full b' :: Node a
b' -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
a Node a
b'
     Defect e :: a
e -> let !se :: Int
se = a -> Int
forall a. Sized a => a -> Int
size a
e in case Node a
a of
       Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sz) a
x a
y) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sz Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
z a
e)
         where !sz :: Int
sz = a -> Int
forall a. Sized a => a -> Int
size a
z
       Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Digit (Node a)
forall a. a -> Digit a
One (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sxy Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
x a
y a
e)
  where sa :: Int
sa = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
delDigit f :: Int -> Node a -> Del a
f i :: Int
i (Three a :: Node a
a b :: Node a
b c :: Node a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa = case Int -> Node a -> Del a
f Int
i Node a
a of
     Full a' :: Node a
a' -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
a' Node a
b Node a
c
     Defect e :: a
e -> let !se :: Int
se = a -> Int
forall a. Sized a => a -> Int
size a
e in case Node a
b of
       Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
se Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sx) a
e a
x) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sx) a
y a
z) Node a
c
         where !sx :: Int
sx = a -> Int
forall a. Sized a => a -> Int
size a
x
       Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
se Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sxy) a
e a
x a
y) Node a
c
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab = case Int -> Node a -> Del a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) Node a
b of
     Full b' :: Node a
b' -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
a Node a
b' Node a
c
     Defect e :: a
e -> let !se :: Int
se = a -> Int
forall a. Sized a => a -> Int
size a
e in case Node a
a of
       Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sz) a
x a
y) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sz Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
z a
e) Node a
c
         where !sz :: Int
sz = a -> Int
forall a. Sized a => a -> Int
size a
z
       Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sxy Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
x a
y a
e) Node a
c
  | Bool
otherwise = case Int -> Node a -> Del a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) Node a
c of
     Full c' :: Node a
c' -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
a Node a
b Node a
c'
     Defect e :: a
e -> let !se :: Int
se = a -> Int
forall a. Sized a => a -> Int
size a
e in case Node a
b of
       Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
a (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sz) a
x a
y) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sz Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
z a
e)
         where !sz :: Int
sz = a -> Int
forall a. Sized a => a -> Int
size a
z
       Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
a (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sxy Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
x a
y a
e)
  where sa :: Int
sa = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
        sab :: Int
sab = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
delDigit f :: Int -> Node a -> Del a
f i :: Int
i (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa = case Int -> Node a -> Del a
f Int
i Node a
a of
     Full a' :: Node a
a' -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> a -> Digit a
Four Node a
a' Node a
b Node a
c Node a
d
     Defect e :: a
e -> let !se :: Int
se = a -> Int
forall a. Sized a => a -> Int
size a
e in case Node a
b of
       Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> a -> Digit a
Four (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
se Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sx) a
e a
x) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sx) a
y a
z) Node a
c Node a
d
         where !sx :: Int
sx = a -> Int
forall a. Sized a => a -> Int
size a
x
       Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
se Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sxy) a
e a
x a
y) Node a
c Node a
d
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab = case Int -> Node a -> Del a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) Node a
b of
     Full b' :: Node a
b' -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> a -> Digit a
Four Node a
a Node a
b' Node a
c Node a
d
     Defect e :: a
e -> let !se :: Int
se = a -> Int
forall a. Sized a => a -> Int
size a
e in case Node a
a of
       Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> a -> Digit a
Four (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sz) a
x a
y) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sz Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
z a
e) Node a
c Node a
d
         where !sz :: Int
sz = a -> Int
forall a. Sized a => a -> Int
size a
z
       Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sxy Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
x a
y a
e) Node a
c Node a
d
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sabc = case Int -> Node a -> Del a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) Node a
c of
     Full c' :: Node a
c' -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> a -> Digit a
Four Node a
a Node a
b Node a
c' Node a
d
     Defect e :: a
e -> let !se :: Int
se = a -> Int
forall a. Sized a => a -> Int
size a
e in case Node a
b of
       Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> a -> Digit a
Four Node a
a (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sz) a
x a
y) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sz Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
z a
e) Node a
d
         where !sz :: Int
sz = a -> Int
forall a. Sized a => a -> Int
size a
z
       Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
a (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sxy Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
x a
y a
e) Node a
d
  | Bool
otherwise = case Int -> Node a -> Del a
f (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sabc) Node a
d of
     Full d' :: Node a
d' -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> a -> Digit a
Four Node a
a Node a
b Node a
c Node a
d'
     Defect e :: a
e -> let !se :: Int
se = a -> Int
forall a. Sized a => a -> Int
size a
e in case Node a
c of
       Node3 sxyz :: Int
sxyz x :: a
x y :: a
y z :: a
z -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> a -> Digit a
Four Node a
a Node a
b (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sxyz Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sz) a
x a
y) (Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 (Int
sz Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
z a
e)
         where !sz :: Int
sz = a -> Int
forall a. Sized a => a -> Int
size a
z
       Node2 sxy :: Int
sxy x :: a
x y :: a
y -> Digit (Node a) -> DelDig a
forall a. Digit (Node a) -> DelDig a
FullDig (Digit (Node a) -> DelDig a) -> Digit (Node a) -> DelDig a
forall a b. (a -> b) -> a -> b
$ Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
a Node a
b (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (Int
sxy Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
se) a
x a
y a
e)
  where sa :: Int
sa = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
        sab :: Int
sab = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
        sabc :: Int
sabc = Int
sab Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
c


-- | A generalization of 'fmap', 'mapWithIndex' takes a mapping
-- function that also depends on the element's index, and applies it to every
-- element in the sequence.
mapWithIndex :: (Int -> a -> b) -> Seq a -> Seq b
mapWithIndex :: (Int -> a -> b) -> Seq a -> Seq b
mapWithIndex f' :: Int -> a -> b
f' (Seq xs' :: FingerTree (Elem a)
xs') = FingerTree (Elem b) -> Seq b
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem b) -> Seq b) -> FingerTree (Elem b) -> Seq b
forall a b. (a -> b) -> a -> b
$ (Int -> Elem a -> Elem b)
-> Int -> FingerTree (Elem a) -> FingerTree (Elem b)
forall a b.
Sized a =>
(Int -> a -> b) -> Int -> FingerTree a -> FingerTree b
mapWithIndexTree (\s :: Int
s (Elem a :: a
a) -> b -> Elem b
forall a. a -> Elem a
Elem (Int -> a -> b
f' Int
s a
a)) 0 FingerTree (Elem a)
xs'
 where
  {-# SPECIALIZE mapWithIndexTree :: (Int -> Elem y -> b) -> Int -> FingerTree (Elem y) -> FingerTree b #-}
  {-# SPECIALIZE mapWithIndexTree :: (Int -> Node y -> b) -> Int -> FingerTree (Node y) -> FingerTree b #-}
  mapWithIndexTree :: Sized a => (Int -> a -> b) -> Int -> FingerTree a -> FingerTree b
  mapWithIndexTree :: (Int -> a -> b) -> Int -> FingerTree a -> FingerTree b
mapWithIndexTree _ !Int
_s EmptyT = FingerTree b
forall a. FingerTree a
EmptyT
  mapWithIndexTree f :: Int -> a -> b
f s :: Int
s (Single xs :: a
xs) = b -> FingerTree b
forall a. a -> FingerTree a
Single (b -> FingerTree b) -> b -> FingerTree b
forall a b. (a -> b) -> a -> b
$ Int -> a -> b
f Int
s a
xs
  mapWithIndexTree f :: Int -> a -> b
f s :: Int
s (Deep n :: Int
n pr :: Digit a
pr m :: FingerTree (Node a)
m sf :: Digit a
sf) =
          Int -> Digit b -> FingerTree (Node b) -> Digit b -> FingerTree b
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
n
               ((Int -> a -> b) -> Int -> Digit a -> Digit b
forall a b. Sized a => (Int -> a -> b) -> Int -> Digit a -> Digit b
mapWithIndexDigit Int -> a -> b
f Int
s Digit a
pr)
               ((Int -> Node a -> Node b)
-> Int -> FingerTree (Node a) -> FingerTree (Node b)
forall a b.
Sized a =>
(Int -> a -> b) -> Int -> FingerTree a -> FingerTree b
mapWithIndexTree ((Int -> a -> b) -> Int -> Node a -> Node b
forall a b. Sized a => (Int -> a -> b) -> Int -> Node a -> Node b
mapWithIndexNode Int -> a -> b
f) Int
sPspr FingerTree (Node a)
m)
               ((Int -> a -> b) -> Int -> Digit a -> Digit b
forall a b. Sized a => (Int -> a -> b) -> Int -> Digit a -> Digit b
mapWithIndexDigit Int -> a -> b
f Int
sPsprm Digit a
sf)
    where
      !sPspr :: Int
sPspr = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Digit a -> Int
forall a. Sized a => a -> Int
size Digit a
pr
      !sPsprm :: Int
sPsprm = Int
sPspr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node a) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node a)
m

  {-# SPECIALIZE mapWithIndexDigit :: (Int -> Elem y -> b) -> Int -> Digit (Elem y) -> Digit b #-}
  {-# SPECIALIZE mapWithIndexDigit :: (Int -> Node y -> b) -> Int -> Digit (Node y) -> Digit b #-}
  mapWithIndexDigit :: Sized a => (Int -> a -> b) -> Int -> Digit a -> Digit b
  mapWithIndexDigit :: (Int -> a -> b) -> Int -> Digit a -> Digit b
mapWithIndexDigit f :: Int -> a -> b
f !Int
s (One a :: a
a) = b -> Digit b
forall a. a -> Digit a
One (Int -> a -> b
f Int
s a
a)
  mapWithIndexDigit f :: Int -> a -> b
f s :: Int
s (Two a :: a
a b :: a
b) = b -> b -> Digit b
forall a. a -> a -> Digit a
Two (Int -> a -> b
f Int
s a
a) (Int -> a -> b
f Int
sPsa a
b)
    where
      !sPsa :: Int
sPsa = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
a
  mapWithIndexDigit f :: Int -> a -> b
f s :: Int
s (Three a :: a
a b :: a
b c :: a
c) =
                                      b -> b -> b -> Digit b
forall a. a -> a -> a -> Digit a
Three (Int -> a -> b
f Int
s a
a) (Int -> a -> b
f Int
sPsa a
b) (Int -> a -> b
f Int
sPsab a
c)
    where
      !sPsa :: Int
sPsa = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
a
      !sPsab :: Int
sPsab = Int
sPsa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b
  mapWithIndexDigit f :: Int -> a -> b
f s :: Int
s (Four a :: a
a b :: a
b c :: a
c d :: a
d) =
                          b -> b -> b -> b -> Digit b
forall a. a -> a -> a -> a -> Digit a
Four (Int -> a -> b
f Int
s a
a) (Int -> a -> b
f Int
sPsa a
b) (Int -> a -> b
f Int
sPsab a
c) (Int -> a -> b
f Int
sPsabc a
d)
    where
      !sPsa :: Int
sPsa = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
a
      !sPsab :: Int
sPsab = Int
sPsa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b
      !sPsabc :: Int
sPsabc = Int
sPsab Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
c

  {-# SPECIALIZE mapWithIndexNode :: (Int -> Elem y -> b) -> Int -> Node (Elem y) -> Node b #-}
  {-# SPECIALIZE mapWithIndexNode :: (Int -> Node y -> b) -> Int -> Node (Node y) -> Node b #-}
  mapWithIndexNode :: Sized a => (Int -> a -> b) -> Int -> Node a -> Node b
  mapWithIndexNode :: (Int -> a -> b) -> Int -> Node a -> Node b
mapWithIndexNode f :: Int -> a -> b
f s :: Int
s (Node2 ns :: Int
ns a :: a
a b :: a
b) = Int -> b -> b -> Node b
forall a. Int -> a -> a -> Node a
Node2 Int
ns (Int -> a -> b
f Int
s a
a) (Int -> a -> b
f Int
sPsa a
b)
    where
      !sPsa :: Int
sPsa = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
a
  mapWithIndexNode f :: Int -> a -> b
f s :: Int
s (Node3 ns :: Int
ns a :: a
a b :: a
b c :: a
c) =
                                     Int -> b -> b -> b -> Node b
forall a. Int -> a -> a -> a -> Node a
Node3 Int
ns (Int -> a -> b
f Int
s a
a) (Int -> a -> b
f Int
sPsa a
b) (Int -> a -> b
f Int
sPsab a
c)
    where
      !sPsa :: Int
sPsa = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
a
      !sPsab :: Int
sPsab = Int
sPsa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b

#ifdef __GLASGOW_HASKELL__
{-# NOINLINE [1] mapWithIndex #-}
{-# RULES
"mapWithIndex/mapWithIndex" forall f g xs . mapWithIndex f (mapWithIndex g xs) =
  mapWithIndex (\k a -> f k (g k a)) xs
"mapWithIndex/fmapSeq" forall f g xs . mapWithIndex f (fmapSeq g xs) =
  mapWithIndex (\k a -> f k (g a)) xs
"fmapSeq/mapWithIndex" forall f g xs . fmapSeq f (mapWithIndex g xs) =
  mapWithIndex (\k a -> f (g k a)) xs
 #-}
#endif

{-# INLINE foldWithIndexDigit #-}
foldWithIndexDigit :: Sized a => (b -> b -> b) -> (Int -> a -> b) -> Int -> Digit a -> b
foldWithIndexDigit :: (b -> b -> b) -> (Int -> a -> b) -> Int -> Digit a -> b
foldWithIndexDigit _ f :: Int -> a -> b
f !Int
s (One a :: a
a) = Int -> a -> b
f Int
s a
a
foldWithIndexDigit <+> :: b -> b -> b
(<+>) f :: Int -> a -> b
f s :: Int
s (Two a :: a
a b :: a
b) = Int -> a -> b
f Int
s a
a b -> b -> b
<+> Int -> a -> b
f Int
sPsa a
b
  where
    !sPsa :: Int
sPsa = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
a
foldWithIndexDigit <+> :: b -> b -> b
(<+>) f :: Int -> a -> b
f s :: Int
s (Three a :: a
a b :: a
b c :: a
c) = Int -> a -> b
f Int
s a
a b -> b -> b
<+> Int -> a -> b
f Int
sPsa a
b b -> b -> b
<+> Int -> a -> b
f Int
sPsab a
c
  where
    !sPsa :: Int
sPsa = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
a
    !sPsab :: Int
sPsab = Int
sPsa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b
foldWithIndexDigit <+> :: b -> b -> b
(<+>) f :: Int -> a -> b
f s :: Int
s (Four a :: a
a b :: a
b c :: a
c d :: a
d) =
    Int -> a -> b
f Int
s a
a b -> b -> b
<+> Int -> a -> b
f Int
sPsa a
b b -> b -> b
<+> Int -> a -> b
f Int
sPsab a
c b -> b -> b
<+> Int -> a -> b
f Int
sPsabc a
d
  where
    !sPsa :: Int
sPsa = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
a
    !sPsab :: Int
sPsab = Int
sPsa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b
    !sPsabc :: Int
sPsabc = Int
sPsab Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
c

{-# INLINE foldWithIndexNode #-}
foldWithIndexNode :: Sized a => (m -> m -> m) -> (Int -> a -> m) -> Int -> Node a -> m
foldWithIndexNode :: (m -> m -> m) -> (Int -> a -> m) -> Int -> Node a -> m
foldWithIndexNode <+> :: m -> m -> m
(<+>) f :: Int -> a -> m
f !Int
s (Node2 _ a :: a
a b :: a
b) = Int -> a -> m
f Int
s a
a m -> m -> m
<+> Int -> a -> m
f Int
sPsa a
b
  where
    !sPsa :: Int
sPsa = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
a
foldWithIndexNode <+> :: m -> m -> m
(<+>) f :: Int -> a -> m
f s :: Int
s (Node3 _ a :: a
a b :: a
b c :: a
c) = Int -> a -> m
f Int
s a
a m -> m -> m
<+> Int -> a -> m
f Int
sPsa a
b m -> m -> m
<+> Int -> a -> m
f Int
sPsab a
c
  where
    !sPsa :: Int
sPsa = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
a
    !sPsab :: Int
sPsab = Int
sPsa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b

-- A generalization of 'foldMap', 'foldMapWithIndex' takes a folding
-- function that also depends on the element's index, and applies it to every
-- element in the sequence.
--
-- @since 0.5.8
foldMapWithIndex :: Monoid m => (Int -> a -> m) -> Seq a -> m
foldMapWithIndex :: (Int -> a -> m) -> Seq a -> m
foldMapWithIndex f' :: Int -> a -> m
f' (Seq xs' :: FingerTree (Elem a)
xs') = (Int -> Elem a -> m) -> Int -> FingerTree (Elem a) -> m
forall m a.
Monoid m =>
(Int -> Elem a -> m) -> Int -> FingerTree (Elem a) -> m
foldMapWithIndexTreeE ((Int -> a -> m) -> Int -> Elem a -> m
forall a m. (Int -> a -> m) -> Int -> Elem a -> m
lift_elem Int -> a -> m
f') 0 FingerTree (Elem a)
xs'
 where
  lift_elem :: (Int -> a -> m) -> (Int -> Elem a -> m)
#if __GLASGOW_HASKELL__ >= 708
  lift_elem :: (Int -> a -> m) -> Int -> Elem a -> m
lift_elem g :: Int -> a -> m
g = (Int -> a -> m) -> Int -> Elem a -> m
forall a b. Coercible a b => a -> b
coerce Int -> a -> m
g
#else
  lift_elem g = \s (Elem a) -> g s a
#endif
  {-# INLINE lift_elem #-}
-- We have to specialize these functions by hand, unfortunately, because
-- GHC does not specialize until *all* instances are determined.
-- Although the Sized instance is known at compile time, the Monoid
-- instance generally is not.
  foldMapWithIndexTreeE :: Monoid m => (Int -> Elem a -> m) -> Int -> FingerTree (Elem a) -> m
  foldMapWithIndexTreeE :: (Int -> Elem a -> m) -> Int -> FingerTree (Elem a) -> m
foldMapWithIndexTreeE _ !Int
_s EmptyT = m
forall a. Monoid a => a
mempty
  foldMapWithIndexTreeE f :: Int -> Elem a -> m
f s :: Int
s (Single xs :: Elem a
xs) = Int -> Elem a -> m
f Int
s Elem a
xs
  foldMapWithIndexTreeE f :: Int -> Elem a -> m
f s :: Int
s (Deep _ pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf) =
               (Int -> Elem a -> m) -> Int -> Digit (Elem a) -> m
forall m a.
Monoid m =>
(Int -> Elem a -> m) -> Int -> Digit (Elem a) -> m
foldMapWithIndexDigitE Int -> Elem a -> m
f Int
s Digit (Elem a)
pr m -> m -> m
forall a. Monoid a => a -> a -> a
<>
               (Int -> Node (Elem a) -> m)
-> Int -> FingerTree (Node (Elem a)) -> m
forall m a.
Monoid m =>
(Int -> Node a -> m) -> Int -> FingerTree (Node a) -> m
foldMapWithIndexTreeN ((Int -> Elem a -> m) -> Int -> Node (Elem a) -> m
forall m a.
Monoid m =>
(Int -> Elem a -> m) -> Int -> Node (Elem a) -> m
foldMapWithIndexNodeE Int -> Elem a -> m
f) Int
sPspr FingerTree (Node (Elem a))
m m -> m -> m
forall a. Monoid a => a -> a -> a
<>
               (Int -> Elem a -> m) -> Int -> Digit (Elem a) -> m
forall m a.
Monoid m =>
(Int -> Elem a -> m) -> Int -> Digit (Elem a) -> m
foldMapWithIndexDigitE Int -> Elem a -> m
f Int
sPsprm Digit (Elem a)
sf
    where
      !sPspr :: Int
sPspr = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Digit (Elem a) -> Int
forall a. Sized a => a -> Int
size Digit (Elem a)
pr
      !sPsprm :: Int
sPsprm = Int
sPspr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Elem a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a))
m

  foldMapWithIndexTreeN :: Monoid m => (Int -> Node a -> m) -> Int -> FingerTree (Node a) -> m
  foldMapWithIndexTreeN :: (Int -> Node a -> m) -> Int -> FingerTree (Node a) -> m
foldMapWithIndexTreeN _ !Int
_s EmptyT = m
forall a. Monoid a => a
mempty
  foldMapWithIndexTreeN f :: Int -> Node a -> m
f s :: Int
s (Single xs :: Node a
xs) = Int -> Node a -> m
f Int
s Node a
xs
  foldMapWithIndexTreeN f :: Int -> Node a -> m
f s :: Int
s (Deep _ pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf) =
               (Int -> Node a -> m) -> Int -> Digit (Node a) -> m
forall m a.
Monoid m =>
(Int -> Node a -> m) -> Int -> Digit (Node a) -> m
foldMapWithIndexDigitN Int -> Node a -> m
f Int
s Digit (Node a)
pr m -> m -> m
forall a. Monoid a => a -> a -> a
<>
               (Int -> Node (Node a) -> m)
-> Int -> FingerTree (Node (Node a)) -> m
forall m a.
Monoid m =>
(Int -> Node a -> m) -> Int -> FingerTree (Node a) -> m
foldMapWithIndexTreeN ((Int -> Node a -> m) -> Int -> Node (Node a) -> m
forall m a.
Monoid m =>
(Int -> Node a -> m) -> Int -> Node (Node a) -> m
foldMapWithIndexNodeN Int -> Node a -> m
f) Int
sPspr FingerTree (Node (Node a))
m m -> m -> m
forall a. Monoid a => a -> a -> a
<>
               (Int -> Node a -> m) -> Int -> Digit (Node a) -> m
forall m a.
Monoid m =>
(Int -> Node a -> m) -> Int -> Digit (Node a) -> m
foldMapWithIndexDigitN Int -> Node a -> m
f Int
sPsprm Digit (Node a)
sf
    where
      !sPspr :: Int
sPspr = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Digit (Node a) -> Int
forall a. Sized a => a -> Int
size Digit (Node a)
pr
      !sPsprm :: Int
sPsprm = Int
sPspr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
m

  foldMapWithIndexDigitE :: Monoid m => (Int -> Elem a -> m) -> Int -> Digit (Elem a) -> m
  foldMapWithIndexDigitE :: (Int -> Elem a -> m) -> Int -> Digit (Elem a) -> m
foldMapWithIndexDigitE f :: Int -> Elem a -> m
f i :: Int
i t :: Digit (Elem a)
t = (m -> m -> m) -> (Int -> Elem a -> m) -> Int -> Digit (Elem a) -> m
forall a b.
Sized a =>
(b -> b -> b) -> (Int -> a -> b) -> Int -> Digit a -> b
foldWithIndexDigit m -> m -> m
forall a. Monoid a => a -> a -> a
(<>) Int -> Elem a -> m
f Int
i Digit (Elem a)
t

  foldMapWithIndexDigitN :: Monoid m => (Int -> Node a -> m) -> Int -> Digit (Node a) -> m
  foldMapWithIndexDigitN :: (Int -> Node a -> m) -> Int -> Digit (Node a) -> m
foldMapWithIndexDigitN f :: Int -> Node a -> m
f i :: Int
i t :: Digit (Node a)
t = (m -> m -> m) -> (Int -> Node a -> m) -> Int -> Digit (Node a) -> m
forall a b.
Sized a =>
(b -> b -> b) -> (Int -> a -> b) -> Int -> Digit a -> b
foldWithIndexDigit m -> m -> m
forall a. Monoid a => a -> a -> a
(<>) Int -> Node a -> m
f Int
i Digit (Node a)
t

  foldMapWithIndexNodeE :: Monoid m => (Int -> Elem a -> m) -> Int -> Node (Elem a) -> m
  foldMapWithIndexNodeE :: (Int -> Elem a -> m) -> Int -> Node (Elem a) -> m
foldMapWithIndexNodeE f :: Int -> Elem a -> m
f i :: Int
i t :: Node (Elem a)
t = (m -> m -> m) -> (Int -> Elem a -> m) -> Int -> Node (Elem a) -> m
forall a m.
Sized a =>
(m -> m -> m) -> (Int -> a -> m) -> Int -> Node a -> m
foldWithIndexNode m -> m -> m
forall a. Monoid a => a -> a -> a
(<>) Int -> Elem a -> m
f Int
i Node (Elem a)
t

  foldMapWithIndexNodeN :: Monoid m => (Int -> Node a -> m) -> Int -> Node (Node a) -> m
  foldMapWithIndexNodeN :: (Int -> Node a -> m) -> Int -> Node (Node a) -> m
foldMapWithIndexNodeN f :: Int -> Node a -> m
f i :: Int
i t :: Node (Node a)
t = (m -> m -> m) -> (Int -> Node a -> m) -> Int -> Node (Node a) -> m
forall a m.
Sized a =>
(m -> m -> m) -> (Int -> a -> m) -> Int -> Node a -> m
foldWithIndexNode m -> m -> m
forall a. Monoid a => a -> a -> a
(<>) Int -> Node a -> m
f Int
i Node (Node a)
t

#if __GLASGOW_HASKELL__
{-# INLINABLE foldMapWithIndex #-}
#endif

-- | 'traverseWithIndex' is a version of 'traverse' that also offers
-- access to the index of each element.
--
-- @since 0.5.8
traverseWithIndex :: Applicative f => (Int -> a -> f b) -> Seq a -> f (Seq b)
traverseWithIndex :: (Int -> a -> f b) -> Seq a -> f (Seq b)
traverseWithIndex f' :: Int -> a -> f b
f' (Seq xs' :: FingerTree (Elem a)
xs') = FingerTree (Elem b) -> Seq b
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem b) -> Seq b)
-> f (FingerTree (Elem b)) -> f (Seq b)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> (Int -> Elem a -> f (Elem b))
-> Int -> FingerTree (Elem a) -> f (FingerTree (Elem b))
forall (f :: * -> *) a b.
Applicative f =>
(Int -> Elem a -> f b)
-> Int -> FingerTree (Elem a) -> f (FingerTree b)
traverseWithIndexTreeE (\s :: Int
s (Elem a :: a
a) -> b -> Elem b
forall a. a -> Elem a
Elem (b -> Elem b) -> f b -> f (Elem b)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Int -> a -> f b
f' Int
s a
a) 0 FingerTree (Elem a)
xs'
 where
-- We have to specialize these functions by hand, unfortunately, because
-- GHC does not specialize until *all* instances are determined.
-- Although the Sized instance is known at compile time, the Applicative
-- instance generally is not.
  traverseWithIndexTreeE :: Applicative f => (Int -> Elem a -> f b) -> Int -> FingerTree (Elem a) -> f (FingerTree b)
  traverseWithIndexTreeE :: (Int -> Elem a -> f b)
-> Int -> FingerTree (Elem a) -> f (FingerTree b)
traverseWithIndexTreeE _ !Int
_s EmptyT = FingerTree b -> f (FingerTree b)
forall (f :: * -> *) a. Applicative f => a -> f a
pure FingerTree b
forall a. FingerTree a
EmptyT
  traverseWithIndexTreeE f :: Int -> Elem a -> f b
f s :: Int
s (Single xs :: Elem a
xs) = b -> FingerTree b
forall a. a -> FingerTree a
Single (b -> FingerTree b) -> f b -> f (FingerTree b)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Int -> Elem a -> f b
f Int
s Elem a
xs
  traverseWithIndexTreeE f :: Int -> Elem a -> f b
f s :: Int
s (Deep n :: Int
n pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf) =
          (Digit b -> FingerTree (Node b) -> Digit b -> FingerTree b)
-> f (Digit b)
-> f (FingerTree (Node b))
-> f (Digit b)
-> f (FingerTree b)
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3 (Int -> Digit b -> FingerTree (Node b) -> Digit b -> FingerTree b
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
n)
               ((Int -> Elem a -> f b) -> Int -> Digit (Elem a) -> f (Digit b)
forall (f :: * -> *) a b.
Applicative f =>
(Int -> Elem a -> f b) -> Int -> Digit (Elem a) -> f (Digit b)
traverseWithIndexDigitE Int -> Elem a -> f b
f Int
s Digit (Elem a)
pr)
               ((Int -> Node (Elem a) -> f (Node b))
-> Int -> FingerTree (Node (Elem a)) -> f (FingerTree (Node b))
forall (f :: * -> *) a b.
Applicative f =>
(Int -> Node a -> f b)
-> Int -> FingerTree (Node a) -> f (FingerTree b)
traverseWithIndexTreeN ((Int -> Elem a -> f b) -> Int -> Node (Elem a) -> f (Node b)
forall (f :: * -> *) a b.
Applicative f =>
(Int -> Elem a -> f b) -> Int -> Node (Elem a) -> f (Node b)
traverseWithIndexNodeE Int -> Elem a -> f b
f) Int
sPspr FingerTree (Node (Elem a))
m)
               ((Int -> Elem a -> f b) -> Int -> Digit (Elem a) -> f (Digit b)
forall (f :: * -> *) a b.
Applicative f =>
(Int -> Elem a -> f b) -> Int -> Digit (Elem a) -> f (Digit b)
traverseWithIndexDigitE Int -> Elem a -> f b
f Int
sPsprm Digit (Elem a)
sf)
    where
      !sPspr :: Int
sPspr = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Digit (Elem a) -> Int
forall a. Sized a => a -> Int
size Digit (Elem a)
pr
      !sPsprm :: Int
sPsprm = Int
sPspr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Elem a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a))
m

  traverseWithIndexTreeN :: Applicative f => (Int -> Node a -> f b) -> Int -> FingerTree (Node a) -> f (FingerTree b)
  traverseWithIndexTreeN :: (Int -> Node a -> f b)
-> Int -> FingerTree (Node a) -> f (FingerTree b)
traverseWithIndexTreeN _ !Int
_s EmptyT = FingerTree b -> f (FingerTree b)
forall (f :: * -> *) a. Applicative f => a -> f a
pure FingerTree b
forall a. FingerTree a
EmptyT
  traverseWithIndexTreeN f :: Int -> Node a -> f b
f s :: Int
s (Single xs :: Node a
xs) = b -> FingerTree b
forall a. a -> FingerTree a
Single (b -> FingerTree b) -> f b -> f (FingerTree b)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Int -> Node a -> f b
f Int
s Node a
xs
  traverseWithIndexTreeN f :: Int -> Node a -> f b
f s :: Int
s (Deep n :: Int
n pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf) =
          (Digit b -> FingerTree (Node b) -> Digit b -> FingerTree b)
-> f (Digit b)
-> f (FingerTree (Node b))
-> f (Digit b)
-> f (FingerTree b)
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3 (Int -> Digit b -> FingerTree (Node b) -> Digit b -> FingerTree b
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
n)
               ((Int -> Node a -> f b) -> Int -> Digit (Node a) -> f (Digit b)
forall (f :: * -> *) a b.
Applicative f =>
(Int -> Node a -> f b) -> Int -> Digit (Node a) -> f (Digit b)
traverseWithIndexDigitN Int -> Node a -> f b
f Int
s Digit (Node a)
pr)
               ((Int -> Node (Node a) -> f (Node b))
-> Int -> FingerTree (Node (Node a)) -> f (FingerTree (Node b))
forall (f :: * -> *) a b.
Applicative f =>
(Int -> Node a -> f b)
-> Int -> FingerTree (Node a) -> f (FingerTree b)
traverseWithIndexTreeN ((Int -> Node a -> f b) -> Int -> Node (Node a) -> f (Node b)
forall (f :: * -> *) a b.
Applicative f =>
(Int -> Node a -> f b) -> Int -> Node (Node a) -> f (Node b)
traverseWithIndexNodeN Int -> Node a -> f b
f) Int
sPspr FingerTree (Node (Node a))
m)
               ((Int -> Node a -> f b) -> Int -> Digit (Node a) -> f (Digit b)
forall (f :: * -> *) a b.
Applicative f =>
(Int -> Node a -> f b) -> Int -> Digit (Node a) -> f (Digit b)
traverseWithIndexDigitN Int -> Node a -> f b
f Int
sPsprm Digit (Node a)
sf)
    where
      !sPspr :: Int
sPspr = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Digit (Node a) -> Int
forall a. Sized a => a -> Int
size Digit (Node a)
pr
      !sPsprm :: Int
sPsprm = Int
sPspr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
m

  traverseWithIndexDigitE :: Applicative f => (Int -> Elem a -> f b) -> Int -> Digit (Elem a) -> f (Digit b)
  traverseWithIndexDigitE :: (Int -> Elem a -> f b) -> Int -> Digit (Elem a) -> f (Digit b)
traverseWithIndexDigitE f :: Int -> Elem a -> f b
f i :: Int
i t :: Digit (Elem a)
t = (Int -> Elem a -> f b) -> Int -> Digit (Elem a) -> f (Digit b)
forall (f :: * -> *) a b.
(Applicative f, Sized a) =>
(Int -> a -> f b) -> Int -> Digit a -> f (Digit b)
traverseWithIndexDigit Int -> Elem a -> f b
f Int
i Digit (Elem a)
t

  traverseWithIndexDigitN :: Applicative f => (Int -> Node a -> f b) -> Int -> Digit (Node a) -> f (Digit b)
  traverseWithIndexDigitN :: (Int -> Node a -> f b) -> Int -> Digit (Node a) -> f (Digit b)
traverseWithIndexDigitN f :: Int -> Node a -> f b
f i :: Int
i t :: Digit (Node a)
t = (Int -> Node a -> f b) -> Int -> Digit (Node a) -> f (Digit b)
forall (f :: * -> *) a b.
(Applicative f, Sized a) =>
(Int -> a -> f b) -> Int -> Digit a -> f (Digit b)
traverseWithIndexDigit Int -> Node a -> f b
f Int
i Digit (Node a)
t

  {-# INLINE traverseWithIndexDigit #-}
  traverseWithIndexDigit :: (Applicative f, Sized a) => (Int -> a -> f b) -> Int -> Digit a -> f (Digit b)
  traverseWithIndexDigit :: (Int -> a -> f b) -> Int -> Digit a -> f (Digit b)
traverseWithIndexDigit f :: Int -> a -> f b
f !Int
s (One a :: a
a) = b -> Digit b
forall a. a -> Digit a
One (b -> Digit b) -> f b -> f (Digit b)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
<$> Int -> a -> f b
f Int
s a
a
  traverseWithIndexDigit f :: Int -> a -> f b
f s :: Int
s (Two a :: a
a b :: a
b) = (b -> b -> Digit b) -> f b -> f b -> f (Digit b)
forall (f :: * -> *) a b c.
Applicative f =>
(a -> b -> c) -> f a -> f b -> f c
liftA2 b -> b -> Digit b
forall a. a -> a -> Digit a
Two (Int -> a -> f b
f Int
s a
a) (Int -> a -> f b
f Int
sPsa a
b)
    where
      !sPsa :: Int
sPsa = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
a
  traverseWithIndexDigit f :: Int -> a -> f b
f s :: Int
s (Three a :: a
a b :: a
b c :: a
c) =
                                      (b -> b -> b -> Digit b) -> f b -> f b -> f b -> f (Digit b)
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3 b -> b -> b -> Digit b
forall a. a -> a -> a -> Digit a
Three (Int -> a -> f b
f Int
s a
a) (Int -> a -> f b
f Int
sPsa a
b) (Int -> a -> f b
f Int
sPsab a
c)
    where
      !sPsa :: Int
sPsa = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
a
      !sPsab :: Int
sPsab = Int
sPsa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b
  traverseWithIndexDigit f :: Int -> a -> f b
f s :: Int
s (Four a :: a
a b :: a
b c :: a
c d :: a
d) =
                          (b -> b -> b -> b -> Digit b)
-> f b -> f b -> f b -> f (b -> Digit b)
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3 b -> b -> b -> b -> Digit b
forall a. a -> a -> a -> a -> Digit a
Four (Int -> a -> f b
f Int
s a
a) (Int -> a -> f b
f Int
sPsa a
b) (Int -> a -> f b
f Int
sPsab a
c) f (b -> Digit b) -> f b -> f (Digit b)
forall (f :: * -> *) a b. Applicative f => f (a -> b) -> f a -> f b
<*> Int -> a -> f b
f Int
sPsabc a
d
    where
      !sPsa :: Int
sPsa = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
a
      !sPsab :: Int
sPsab = Int
sPsa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b
      !sPsabc :: Int
sPsabc = Int
sPsab Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
c

  traverseWithIndexNodeE :: Applicative f => (Int -> Elem a -> f b) -> Int -> Node (Elem a) -> f (Node b)
  traverseWithIndexNodeE :: (Int -> Elem a -> f b) -> Int -> Node (Elem a) -> f (Node b)
traverseWithIndexNodeE f :: Int -> Elem a -> f b
f i :: Int
i t :: Node (Elem a)
t = (Int -> Elem a -> f b) -> Int -> Node (Elem a) -> f (Node b)
forall (f :: * -> *) a b.
(Applicative f, Sized a) =>
(Int -> a -> f b) -> Int -> Node a -> f (Node b)
traverseWithIndexNode Int -> Elem a -> f b
f Int
i Node (Elem a)
t

  traverseWithIndexNodeN :: Applicative f => (Int -> Node a -> f b) -> Int -> Node (Node a) -> f (Node b)
  traverseWithIndexNodeN :: (Int -> Node a -> f b) -> Int -> Node (Node a) -> f (Node b)
traverseWithIndexNodeN f :: Int -> Node a -> f b
f i :: Int
i t :: Node (Node a)
t = (Int -> Node a -> f b) -> Int -> Node (Node a) -> f (Node b)
forall (f :: * -> *) a b.
(Applicative f, Sized a) =>
(Int -> a -> f b) -> Int -> Node a -> f (Node b)
traverseWithIndexNode Int -> Node a -> f b
f Int
i Node (Node a)
t

  {-# INLINE traverseWithIndexNode #-}
  traverseWithIndexNode :: (Applicative f, Sized a) => (Int -> a -> f b) -> Int -> Node a -> f (Node b)
  traverseWithIndexNode :: (Int -> a -> f b) -> Int -> Node a -> f (Node b)
traverseWithIndexNode f :: Int -> a -> f b
f !Int
s (Node2 ns :: Int
ns a :: a
a b :: a
b) = (b -> b -> Node b) -> f b -> f b -> f (Node b)
forall (f :: * -> *) a b c.
Applicative f =>
(a -> b -> c) -> f a -> f b -> f c
liftA2 (Int -> b -> b -> Node b
forall a. Int -> a -> a -> Node a
Node2 Int
ns) (Int -> a -> f b
f Int
s a
a) (Int -> a -> f b
f Int
sPsa a
b)
    where
      !sPsa :: Int
sPsa = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
a
  traverseWithIndexNode f :: Int -> a -> f b
f s :: Int
s (Node3 ns :: Int
ns a :: a
a b :: a
b c :: a
c) =
                           (b -> b -> b -> Node b) -> f b -> f b -> f b -> f (Node b)
forall (f :: * -> *) a b c d.
Applicative f =>
(a -> b -> c -> d) -> f a -> f b -> f c -> f d
liftA3 (Int -> b -> b -> b -> Node b
forall a. Int -> a -> a -> a -> Node a
Node3 Int
ns) (Int -> a -> f b
f Int
s a
a) (Int -> a -> f b
f Int
sPsa a
b) (Int -> a -> f b
f Int
sPsab a
c)
    where
      !sPsa :: Int
sPsa = Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
a
      !sPsab :: Int
sPsab = Int
sPsa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
b


#ifdef __GLASGOW_HASKELL__
{-# INLINABLE [1] traverseWithIndex #-}
#else
{-# INLINE [1] traverseWithIndex #-}
#endif

#ifdef __GLASGOW_HASKELL__
{-# RULES
"travWithIndex/mapWithIndex" forall f g xs . traverseWithIndex f (mapWithIndex g xs) =
  traverseWithIndex (\k a -> f k (g k a)) xs
"travWithIndex/fmapSeq" forall f g xs . traverseWithIndex f (fmapSeq g xs) =
  traverseWithIndex (\k a -> f k (g a)) xs
 #-}
#endif
{-
It might be nice to be able to rewrite

traverseWithIndex f (fromFunction i g)
to
replicateAWithIndex i (\k -> f k (g k))
and
traverse f (fromFunction i g)
to
replicateAWithIndex i (f . g)

but we don't have replicateAWithIndex as yet.

We might wish for a rule like
"fmapSeq/travWithIndex" forall f g xs . fmapSeq f <$> traverseWithIndex g xs =
  traverseWithIndex (\k a -> f <$> g k a) xs
Unfortunately, this rule could screw up the inliner's treatment of
fmap in general, and it also relies on the arbitrary Functor being
valid.
-}


-- | \( O(n) \). Convert a given sequence length and a function representing that
-- sequence into a sequence.
--
-- @since 0.5.6.2
fromFunction :: Int -> (Int -> a) -> Seq a
fromFunction :: Int -> (Int -> a) -> Seq a
fromFunction len :: Int
len f :: Int -> a
f | Int
len Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 0 = [Char] -> Seq a
forall a. HasCallStack => [Char] -> a
error "Data.Sequence.fromFunction called with negative len"
                   | Int
len Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== 0 = Seq a
forall a. Seq a
empty
                   | Bool
otherwise = FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem a) -> Seq a) -> FingerTree (Elem a) -> Seq a
forall a b. (a -> b) -> a -> b
$ (Int -> Elem a) -> Int -> Int -> Int -> FingerTree (Elem a)
forall a. (Int -> a) -> Int -> Int -> Int -> FingerTree a
create ((Int -> a) -> Int -> Elem a
forall a. (Int -> a) -> Int -> Elem a
lift_elem Int -> a
f) 1 0 Int
len
  where
    create :: (Int -> a) -> Int -> Int -> Int -> FingerTree a
    create :: (Int -> a) -> Int -> Int -> Int -> FingerTree a
create b :: Int -> a
b{-tree_builder-} !Int
s{-tree_size-} !Int
i{-start_index-} trees :: Int
trees = case Int
trees of
       1 -> a -> FingerTree a
forall a. a -> FingerTree a
Single (a -> FingerTree a) -> a -> FingerTree a
forall a b. (a -> b) -> a -> b
$ Int -> a
b Int
i
       2 -> Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (2Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (a -> Digit a
forall a. a -> Digit a
One (Int -> a
b Int
i)) FingerTree (Node a)
forall a. FingerTree a
EmptyT (a -> Digit a
forall a. a -> Digit a
One (Int -> a
b (Int
iInt -> Int -> Int
forall a. Num a => a -> a -> a
+Int
s)))
       3 -> Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Int -> Digit a
createTwo Int
i) FingerTree (Node a)
forall a. FingerTree a
EmptyT (a -> Digit a
forall a. a -> Digit a
One (Int -> a
b (Int
iInt -> Int -> Int
forall a. Num a => a -> a -> a
+2Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s)))
       4 -> Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (4Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Int -> Digit a
createTwo Int
i) FingerTree (Node a)
forall a. FingerTree a
EmptyT (Int -> Digit a
createTwo (Int
iInt -> Int -> Int
forall a. Num a => a -> a -> a
+2Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s))
       5 -> Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (5Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Int -> Digit a
createThree Int
i) FingerTree (Node a)
forall a. FingerTree a
EmptyT (Int -> Digit a
createTwo (Int
iInt -> Int -> Int
forall a. Num a => a -> a -> a
+3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s))
       6 -> Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (6Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Int -> Digit a
createThree Int
i) FingerTree (Node a)
forall a. FingerTree a
EmptyT (Int -> Digit a
createThree (Int
iInt -> Int -> Int
forall a. Num a => a -> a -> a
+3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s))
       _ -> case Int
trees Int -> Int -> (Int, Int)
forall a. Integral a => a -> a -> (a, a)
`quotRem` 3 of
           (trees' :: Int
trees', 1) -> Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
treesInt -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Int -> Digit a
createTwo Int
i)
                              ((Int -> Node a) -> Int -> Int -> Int -> FingerTree (Node a)
forall a. (Int -> a) -> Int -> Int -> Int -> FingerTree a
create Int -> Node a
mb (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Int
iInt -> Int -> Int
forall a. Num a => a -> a -> a
+2Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Int
trees'Int -> Int -> Int
forall a. Num a => a -> a -> a
-1))
                              (Int -> Digit a
createTwo (Int
iInt -> Int -> Int
forall a. Num a => a -> a -> a
+(2Int -> Int -> Int
forall a. Num a => a -> a -> a
+3Int -> Int -> Int
forall a. Num a => a -> a -> a
*(Int
trees'Int -> Int -> Int
forall a. Num a => a -> a -> a
-1))Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s))
           (trees' :: Int
trees', 2) -> Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
treesInt -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Int -> Digit a
createThree Int
i)
                              ((Int -> Node a) -> Int -> Int -> Int -> FingerTree (Node a)
forall a. (Int -> a) -> Int -> Int -> Int -> FingerTree a
create Int -> Node a
mb (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Int
iInt -> Int -> Int
forall a. Num a => a -> a -> a
+3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Int
trees'Int -> Int -> Int
forall a. Num a => a -> a -> a
-1))
                              (Int -> Digit a
createTwo (Int
iInt -> Int -> Int
forall a. Num a => a -> a -> a
+(3Int -> Int -> Int
forall a. Num a => a -> a -> a
+3Int -> Int -> Int
forall a. Num a => a -> a -> a
*(Int
trees'Int -> Int -> Int
forall a. Num a => a -> a -> a
-1))Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s))
           (trees' :: Int
trees', _) -> Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
treesInt -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Int -> Digit a
createThree Int
i)
                              ((Int -> Node a) -> Int -> Int -> Int -> FingerTree (Node a)
forall a. (Int -> a) -> Int -> Int -> Int -> FingerTree a
create Int -> Node a
mb (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Int
iInt -> Int -> Int
forall a. Num a => a -> a -> a
+3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Int
trees'Int -> Int -> Int
forall a. Num a => a -> a -> a
-2))
                              (Int -> Digit a
createThree (Int
iInt -> Int -> Int
forall a. Num a => a -> a -> a
+(3Int -> Int -> Int
forall a. Num a => a -> a -> a
+3Int -> Int -> Int
forall a. Num a => a -> a -> a
*(Int
trees'Int -> Int -> Int
forall a. Num a => a -> a -> a
-2))Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s))
      where
        createTwo :: Int -> Digit a
createTwo j :: Int
j = a -> a -> Digit a
forall a. a -> a -> Digit a
Two (Int -> a
b Int
j) (Int -> a
b (Int
j Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s))
        {-# INLINE createTwo #-}
        createThree :: Int -> Digit a
createThree j :: Int
j = a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three (Int -> a
b Int
j) (Int -> a
b (Int
j Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s)) (Int -> a
b (Int
j Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 2Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s))
        {-# INLINE createThree #-}
        mb :: Int -> Node a
mb j :: Int
j = Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Int -> a
b Int
j) (Int -> a
b (Int
j Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
s)) (Int -> a
b (Int
j Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 2Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s))
        {-# INLINE mb #-}

    lift_elem :: (Int -> a) -> (Int -> Elem a)
#if __GLASGOW_HASKELL__ >= 708
    lift_elem :: (Int -> a) -> Int -> Elem a
lift_elem g :: Int -> a
g = (Int -> a) -> Int -> Elem a
forall a b. Coercible a b => a -> b
coerce Int -> a
g
#else
    lift_elem g = Elem . g
#endif
    {-# INLINE lift_elem #-}

-- | \( O(n) \). Create a sequence consisting of the elements of an 'Array'.
-- Note that the resulting sequence elements may be evaluated lazily (as on GHC),
-- so you must force the entire structure to be sure that the original array
-- can be garbage-collected.
--
-- @since 0.5.6.2
fromArray :: Ix i => Array i a -> Seq a
#ifdef __GLASGOW_HASKELL__
fromArray :: Array i a -> Seq a
fromArray a :: Array i a
a = Int -> (Int -> a) -> Seq a
forall a. Int -> (Int -> a) -> Seq a
fromFunction (Array i a -> Int
forall i e. Array i e -> Int
GHC.Arr.numElements Array i a
a) (Array i a -> Int -> a
forall i e. Array i e -> Int -> e
GHC.Arr.unsafeAt Array i a
a)
 where
  -- The following definition uses (Ix i) constraing, which is needed for the
  -- other fromArray definition.
  Int
_ = (i, i) -> Int
forall a. Ix a => (a, a) -> Int
Data.Array.rangeSize (Array i a -> (i, i)
forall i e. Array i e -> (i, i)
Data.Array.bounds Array i a
a)
#else
fromArray a = fromList2 (Data.Array.rangeSize (Data.Array.bounds a)) (Data.Array.elems a)
#endif

-- Splitting

-- | \( O(\log(\min(i,n-i))) \). The first @i@ elements of a sequence.
-- If @i@ is negative, @'take' i s@ yields the empty sequence.
-- If the sequence contains fewer than @i@ elements, the whole sequence
-- is returned.
take :: Int -> Seq a -> Seq a
take :: Int -> Seq a -> Seq a
take i :: Int
i xs :: Seq a
xs@(Seq t :: FingerTree (Elem a)
t)
    -- See note on unsigned arithmetic in splitAt
  | Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral Int
i Word -> Word -> Word
forall a. Num a => a -> a -> a
- 1 Word -> Word -> Bool
forall a. Ord a => a -> a -> Bool
< (Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral (Seq a -> Int
forall a. Seq a -> Int
length Seq a
xs) Word -> Word -> Word
forall a. Num a => a -> a -> a
- 1 :: Word) =
      FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (Int -> FingerTree (Elem a) -> FingerTree (Elem a)
forall a. Int -> FingerTree (Elem a) -> FingerTree (Elem a)
takeTreeE Int
i FingerTree (Elem a)
t)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
<= 0 = Seq a
forall a. Seq a
empty
  | Bool
otherwise = Seq a
xs

takeTreeE :: Int -> FingerTree (Elem a) -> FingerTree (Elem a)
takeTreeE :: Int -> FingerTree (Elem a) -> FingerTree (Elem a)
takeTreeE !Int
_i EmptyT = FingerTree (Elem a)
forall a. FingerTree a
EmptyT
takeTreeE i :: Int
i t :: FingerTree (Elem a)
t@(Single _)
   | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
<= 0 = FingerTree (Elem a)
forall a. FingerTree a
EmptyT
   | Bool
otherwise = FingerTree (Elem a)
t
takeTreeE i :: Int
i (Deep s :: Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spr     = Int -> Digit (Elem a) -> FingerTree (Elem a)
forall a. Int -> Digit (Elem a) -> FingerTree (Elem a)
takePrefixE Int
i Digit (Elem a)
pr
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spm     = case Int
-> FingerTree (Node (Elem a))
-> StrictPair (FingerTree (Node (Elem a))) (Node (Elem a))
forall a.
Int
-> FingerTree (Node a) -> StrictPair (FingerTree (Node a)) (Node a)
takeTreeN Int
im FingerTree (Node (Elem a))
m of
            ml :: FingerTree (Node (Elem a))
ml :*: xs :: Node (Elem a)
xs -> Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Node (Elem a)
-> FingerTree (Elem a)
forall a.
Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Node (Elem a)
-> FingerTree (Elem a)
takeMiddleE (Int
im Int -> Int -> Int
forall a. Num a => a -> a -> a
- FingerTree (Node (Elem a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a))
ml) Int
spr Digit (Elem a)
pr FingerTree (Node (Elem a))
ml Node (Elem a)
xs
  | Bool
otherwise   = Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
takeSuffixE (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spm) Int
s Digit (Elem a)
pr FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  where
    spr :: Int
spr     = Digit (Elem a) -> Int
forall a. Sized a => a -> Int
size Digit (Elem a)
pr
    spm :: Int
spm     = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Elem a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a))
m
    im :: Int
im      = Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spr

takeTreeN :: Int -> FingerTree (Node a) -> StrictPair (FingerTree (Node a)) (Node a)
takeTreeN :: Int
-> FingerTree (Node a) -> StrictPair (FingerTree (Node a)) (Node a)
takeTreeN !Int
_i EmptyT = [Char] -> StrictPair (FingerTree (Node a)) (Node a)
forall a. HasCallStack => [Char] -> a
error "takeTreeN of empty tree"
takeTreeN _i :: Int
_i (Single x :: Node a
x) = FingerTree (Node a)
forall a. FingerTree a
EmptyT FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
x
takeTreeN i :: Int
i (Deep s :: Int
s pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spr     = Int -> Digit (Node a) -> StrictPair (FingerTree (Node a)) (Node a)
forall a.
Int -> Digit (Node a) -> StrictPair (FingerTree (Node a)) (Node a)
takePrefixN Int
i Digit (Node a)
pr
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spm     = case Int
-> FingerTree (Node (Node a))
-> StrictPair (FingerTree (Node (Node a))) (Node (Node a))
forall a.
Int
-> FingerTree (Node a) -> StrictPair (FingerTree (Node a)) (Node a)
takeTreeN Int
im FingerTree (Node (Node a))
m of
            ml :: FingerTree (Node (Node a))
ml :*: xs :: Node (Node a)
xs -> Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Node (Node a)
-> StrictPair (FingerTree (Node a)) (Node a)
forall a.
Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Node (Node a)
-> StrictPair (FingerTree (Node a)) (Node a)
takeMiddleN (Int
im Int -> Int -> Int
forall a. Num a => a -> a -> a
- FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
ml) Int
spr Digit (Node a)
pr FingerTree (Node (Node a))
ml Node (Node a)
xs
  | Bool
otherwise   = Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> StrictPair (FingerTree (Node a)) (Node a)
forall a.
Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> StrictPair (FingerTree (Node a)) (Node a)
takeSuffixN (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spm) Int
s Digit (Node a)
pr FingerTree (Node (Node a))
m Digit (Node a)
sf  where
    spr :: Int
spr     = Digit (Node a) -> Int
forall a. Sized a => a -> Int
size Digit (Node a)
pr
    spm :: Int
spm     = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
m
    im :: Int
im      = Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spr

takeMiddleN :: Int -> Int
             -> Digit (Node a) -> FingerTree (Node (Node a)) -> Node (Node a)
             -> StrictPair (FingerTree (Node a)) (Node a)
takeMiddleN :: Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Node (Node a)
-> StrictPair (FingerTree (Node a)) (Node a)
takeMiddleN i :: Int
i spr :: Int
spr pr :: Digit (Node a)
pr ml :: FingerTree (Node (Node a))
ml (Node2 _ a :: Node a
a b :: Node a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR Int
sprml Digit (Node a)
pr FingerTree (Node (Node a))
ml FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
a
  | Bool
otherwise   = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sprmla Digit (Node a)
pr FingerTree (Node (Node a))
ml (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
a) FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
b
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
    sprml :: Int
sprml   = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
ml
    sprmla :: Int
sprmla  = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sprml
takeMiddleN i :: Int
i spr :: Int
spr pr :: Digit (Node a)
pr ml :: FingerTree (Node (Node a))
ml (Node3 _ a :: Node a
a b :: Node a
b c :: Node a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR Int
sprml Digit (Node a)
pr FingerTree (Node (Node a))
ml FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
a
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sprmla Digit (Node a)
pr FingerTree (Node (Node a))
ml (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
a) FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
b
  | Bool
otherwise   = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sprmlab Digit (Node a)
pr FingerTree (Node (Node a))
ml (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
a Node a
b) FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
c
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
    sprml :: Int
sprml   = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
ml
    sprmla :: Int
sprmla  = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sprml
    sprmlab :: Int
sprmlab = Int
sprmla Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b

takeMiddleE :: Int -> Int
             -> Digit (Elem a) -> FingerTree (Node (Elem a)) -> Node (Elem a)
             -> FingerTree (Elem a)
takeMiddleE :: Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Node (Elem a)
-> FingerTree (Elem a)
takeMiddleE i :: Int
i spr :: Int
spr pr :: Digit (Elem a)
pr ml :: FingerTree (Node (Elem a))
ml (Node2 _ a :: Elem a
a _)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1       = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Elem a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR Int
sprml Digit (Elem a)
pr FingerTree (Node (Elem a))
ml
  | Bool
otherwise   = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sprmla Digit (Elem a)
pr FingerTree (Node (Elem a))
ml (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a)
  where
    sprml :: Int
sprml   = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Elem a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a))
ml
    sprmla :: Int
sprmla  = 1 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sprml
takeMiddleE i :: Int
i spr :: Int
spr pr :: Digit (Elem a)
pr ml :: FingerTree (Node (Elem a))
ml (Node3 _ a :: Elem a
a b :: Elem a
b _)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1       = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Elem a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR Int
sprml Digit (Elem a)
pr FingerTree (Node (Elem a))
ml
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 2       = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sprmla Digit (Elem a)
pr FingerTree (Node (Elem a))
ml (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a)
  | Bool
otherwise   = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sprmlab Digit (Elem a)
pr FingerTree (Node (Elem a))
ml (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
b)
  where
    sprml :: Int
sprml   = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Elem a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a))
ml
    sprmla :: Int
sprmla  = 1 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sprml
    sprmlab :: Int
sprmlab = Int
sprmla Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1

takePrefixE :: Int -> Digit (Elem a) -> FingerTree (Elem a)
takePrefixE :: Int -> Digit (Elem a) -> FingerTree (Elem a)
takePrefixE !Int
_i (One _) = FingerTree (Elem a)
forall a. FingerTree a
EmptyT
takePrefixE i :: Int
i (Two a :: Elem a
a _)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1       = FingerTree (Elem a)
forall a. FingerTree a
EmptyT
  | Bool
otherwise   = Elem a -> FingerTree (Elem a)
forall a. a -> FingerTree a
Single Elem a
a
takePrefixE i :: Int
i (Three a :: Elem a
a b :: Elem a
b _)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1       = FingerTree (Elem a)
forall a. FingerTree a
EmptyT
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 2       = Elem a -> FingerTree (Elem a)
forall a. a -> FingerTree a
Single Elem a
a
  | Bool
otherwise   = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 2 (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a) FingerTree (Node (Elem a))
forall a. FingerTree a
EmptyT (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
b)
takePrefixE i :: Int
i (Four a :: Elem a
a b :: Elem a
b c :: Elem a
c _)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1       = FingerTree (Elem a)
forall a. FingerTree a
EmptyT
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 2       = Elem a -> FingerTree (Elem a)
forall a. a -> FingerTree a
Single Elem a
a
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 3       = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 2 (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a) FingerTree (Node (Elem a))
forall a. FingerTree a
EmptyT (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
b)
  | Bool
otherwise   = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 3 (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
b) FingerTree (Node (Elem a))
forall a. FingerTree a
EmptyT (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
c)

takePrefixN :: Int -> Digit (Node a)
                    -> StrictPair (FingerTree (Node a)) (Node a)
takePrefixN :: Int -> Digit (Node a) -> StrictPair (FingerTree (Node a)) (Node a)
takePrefixN !Int
_i (One a :: Node a
a) = FingerTree (Node a)
forall a. FingerTree a
EmptyT FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
a
takePrefixN i :: Int
i (Two a :: Node a
a b :: Node a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = FingerTree (Node a)
forall a. FingerTree a
EmptyT FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
a
  | Bool
otherwise   = Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single Node a
a FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
b
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
takePrefixN i :: Int
i (Three a :: Node a
a b :: Node a
b c :: Node a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = FingerTree (Node a)
forall a. FingerTree a
EmptyT FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
a
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single Node a
a FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
b
  | Bool
otherwise   = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sab (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
a) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
b) FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
c
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
takePrefixN i :: Int
i (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = FingerTree (Node a)
forall a. FingerTree a
EmptyT FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
a
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single Node a
a FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
b
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sabc    = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sab (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
a) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
b) FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
c
  | Bool
otherwise   = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sabc (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
a Node a
b) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
c) FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
d
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
    sabc :: Int
sabc    = Int
sab Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
c

takeSuffixE :: Int -> Int -> Digit (Elem a) -> FingerTree (Node (Elem a)) -> Digit (Elem a) ->
   FingerTree (Elem a)
takeSuffixE :: Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
takeSuffixE !Int
_i !Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m (One _) = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Elem a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m
takeSuffixE i :: Int
i s :: Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m (Two a :: Elem a
a _)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1      = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Elem a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 2) Digit (Elem a)
pr FingerTree (Node (Elem a))
m
  | Bool
otherwise  = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a)
takeSuffixE i :: Int
i s :: Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m (Three a :: Elem a
a b :: Elem a
b _)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1      = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Elem a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 3) Digit (Elem a)
pr FingerTree (Node (Elem a))
m
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 2      = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 2) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a)
  | Bool
otherwise  = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
b)
takeSuffixE i :: Int
i s :: Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m (Four a :: Elem a
a b :: Elem a
b c :: Elem a
c _)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1      = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Elem a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 4) Digit (Elem a)
pr FingerTree (Node (Elem a))
m
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 2      = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 3) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 3      = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 2) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
b)
  | Bool
otherwise  = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
a Elem a
b Elem a
c)

takeSuffixN :: Int -> Int -> Digit (Node a) -> FingerTree (Node (Node a)) -> Digit (Node a) ->
   StrictPair (FingerTree (Node a)) (Node a)
takeSuffixN :: Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> StrictPair (FingerTree (Node a)) (Node a)
takeSuffixN !Int
_i !Int
s pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m (One a :: Node a
a) = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
a) Digit (Node a)
pr FingerTree (Node (Node a))
m FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
a
takeSuffixN i :: Int
i s :: Int
s pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m (Two a :: Node a
a b :: Node a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
b) Digit (Node a)
pr FingerTree (Node (Node a))
m FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
a
  | Bool
otherwise   = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
b) Digit (Node a)
pr FingerTree (Node (Node a))
m (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
a) FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
b
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
takeSuffixN i :: Int
i s :: Int
s pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m (Three a :: Node a
a b :: Node a
b c :: Node a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
c) Digit (Node a)
pr FingerTree (Node (Node a))
m FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
a
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
b Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
c) Digit (Node a)
pr FingerTree (Node (Node a))
m (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
a) FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
b
  | Bool
otherwise   = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
c) Digit (Node a)
pr FingerTree (Node (Node a))
m (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
a Node a
b) FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
c
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
takeSuffixN i :: Int
i s :: Int
s pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sbcd) Digit (Node a)
pr FingerTree (Node (Node a))
m FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
a
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sbcd) Digit (Node a)
pr FingerTree (Node (Node a))
m (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
a) FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
b
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sabc    = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
scd) Digit (Node a)
pr FingerTree (Node (Node a))
m (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
a Node a
b) FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
c
  | Bool
otherwise   = Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sd) Digit (Node a)
pr FingerTree (Node (Node a))
m (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
a Node a
b Node a
c) FingerTree (Node a)
-> Node a -> StrictPair (FingerTree (Node a)) (Node a)
forall a b. a -> b -> StrictPair a b
:*: Node a
d
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
    sabc :: Int
sabc    = Int
sab Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
c
    sd :: Int
sd      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
d
    scd :: Int
scd     = Node a -> Int
forall a. Sized a => a -> Int
size Node a
c Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sd
    sbcd :: Int
sbcd    = Node a -> Int
forall a. Sized a => a -> Int
size Node a
b Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
scd

-- | \( O(\log(\min(i,n-i))) \). Elements of a sequence after the first @i@.
-- If @i@ is negative, @'drop' i s@ yields the whole sequence.
-- If the sequence contains fewer than @i@ elements, the empty sequence
-- is returned.
drop            :: Int -> Seq a -> Seq a
drop :: Int -> Seq a -> Seq a
drop i :: Int
i xs :: Seq a
xs@(Seq t :: FingerTree (Elem a)
t)
    -- See note on unsigned arithmetic in splitAt
  | Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral Int
i Word -> Word -> Word
forall a. Num a => a -> a -> a
- 1 Word -> Word -> Bool
forall a. Ord a => a -> a -> Bool
< (Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral (Seq a -> Int
forall a. Seq a -> Int
length Seq a
xs) Word -> Word -> Word
forall a. Num a => a -> a -> a
- 1 :: Word) =
      FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (Int -> FingerTree (Elem a) -> FingerTree (Elem a)
forall a. Int -> FingerTree (Elem a) -> FingerTree (Elem a)
takeTreeER (Seq a -> Int
forall a. Seq a -> Int
length Seq a
xs Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
i) FingerTree (Elem a)
t)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
<= 0 = Seq a
xs
  | Bool
otherwise = Seq a
forall a. Seq a
empty

-- We implement `drop` using a "take from the rear" strategy.  There's no
-- particular technical reason for this; it just lets us reuse the arithmetic
-- from `take` (which itself reuses the arithmetic from `splitAt`) instead of
-- figuring it out from scratch and ending up with lots of off-by-one errors.
takeTreeER :: Int -> FingerTree (Elem a) -> FingerTree (Elem a)
takeTreeER :: Int -> FingerTree (Elem a) -> FingerTree (Elem a)
takeTreeER !Int
_i EmptyT = FingerTree (Elem a)
forall a. FingerTree a
EmptyT
takeTreeER i :: Int
i t :: FingerTree (Elem a)
t@(Single _)
   | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
<= 0 = FingerTree (Elem a)
forall a. FingerTree a
EmptyT
   | Bool
otherwise = FingerTree (Elem a)
t
takeTreeER i :: Int
i (Deep s :: Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
ssf     = Int -> Digit (Elem a) -> FingerTree (Elem a)
forall a. Int -> Digit (Elem a) -> FingerTree (Elem a)
takeSuffixER Int
i Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
ssm     = case Int
-> FingerTree (Node (Elem a))
-> StrictPair (Node (Elem a)) (FingerTree (Node (Elem a)))
forall a.
Int
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
takeTreeNR Int
im FingerTree (Node (Elem a))
m of
            xs :: Node (Elem a)
xs :*: mr :: FingerTree (Node (Elem a))
mr -> Int
-> Int
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int
-> Int
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
takeMiddleER (Int
im Int -> Int -> Int
forall a. Num a => a -> a -> a
- FingerTree (Node (Elem a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a))
mr) Int
ssf Node (Elem a)
xs FingerTree (Node (Elem a))
mr Digit (Elem a)
sf
  | Bool
otherwise   = Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
takePrefixER (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
ssm) Int
s Digit (Elem a)
pr FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  where
    ssf :: Int
ssf     = Digit (Elem a) -> Int
forall a. Sized a => a -> Int
size Digit (Elem a)
sf
    ssm :: Int
ssm     = Int
ssf Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Elem a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a))
m
    im :: Int
im      = Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
ssf

takeTreeNR :: Int -> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
takeTreeNR :: Int
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
takeTreeNR !Int
_i EmptyT = [Char] -> StrictPair (Node a) (FingerTree (Node a))
forall a. HasCallStack => [Char] -> a
error "takeTreeNR of empty tree"
takeTreeNR _i :: Int
_i (Single x :: Node a
x) = Node a
x Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: FingerTree (Node a)
forall a. FingerTree a
EmptyT
takeTreeNR i :: Int
i (Deep s :: Int
s pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
ssf     = Int -> Digit (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a.
Int -> Digit (Node a) -> StrictPair (Node a) (FingerTree (Node a))
takeSuffixNR Int
i Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
ssm     = case Int
-> FingerTree (Node (Node a))
-> StrictPair (Node (Node a)) (FingerTree (Node (Node a)))
forall a.
Int
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
takeTreeNR Int
im FingerTree (Node (Node a))
m of
            xs :: Node (Node a)
xs :*: mr :: FingerTree (Node (Node a))
mr -> Int
-> Int
-> Node (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> StrictPair (Node a) (FingerTree (Node a))
forall a.
Int
-> Int
-> Node (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> StrictPair (Node a) (FingerTree (Node a))
takeMiddleNR (Int
im Int -> Int -> Int
forall a. Num a => a -> a -> a
- FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
mr) Int
ssf Node (Node a)
xs FingerTree (Node (Node a))
mr Digit (Node a)
sf
  | Bool
otherwise   = Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> StrictPair (Node a) (FingerTree (Node a))
forall a.
Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> StrictPair (Node a) (FingerTree (Node a))
takePrefixNR (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
ssm) Int
s Digit (Node a)
pr FingerTree (Node (Node a))
m Digit (Node a)
sf  where
    ssf :: Int
ssf     = Digit (Node a) -> Int
forall a. Sized a => a -> Int
size Digit (Node a)
sf
    ssm :: Int
ssm     = Int
ssf Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
m
    im :: Int
im      = Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
ssf

takeMiddleNR :: Int -> Int
             -> Node (Node a) -> FingerTree (Node (Node a)) -> Digit (Node a)
             -> StrictPair (Node a) (FingerTree (Node a))
takeMiddleNR :: Int
-> Int
-> Node (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> StrictPair (Node a) (FingerTree (Node a))
takeMiddleNR i :: Int
i ssf :: Int
ssf (Node2 _ a :: Node a
a b :: Node a
b) mr :: FingerTree (Node (Node a))
mr sf :: Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sb      = Node a
b Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL Int
ssfmr FingerTree (Node (Node a))
mr Digit (Node a)
sf
  | Bool
otherwise   = Node a
a Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
ssfmrb (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
b) FingerTree (Node (Node a))
mr Digit (Node a)
sf
  where
    sb :: Int
sb      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
    ssfmr :: Int
ssfmr   = Int
ssf Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
mr
    ssfmrb :: Int
ssfmrb  = Int
sb Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
ssfmr
takeMiddleNR i :: Int
i ssf :: Int
ssf (Node3 _ a :: Node a
a b :: Node a
b c :: Node a
c) mr :: FingerTree (Node (Node a))
mr sf :: Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sc      = Node a
c Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL Int
ssfmr FingerTree (Node (Node a))
mr Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sbc     = Node a
b Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
ssfmrc (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
c) FingerTree (Node (Node a))
mr Digit (Node a)
sf
  | Bool
otherwise   = Node a
a Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
ssfmrbc (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
b Node a
c) FingerTree (Node (Node a))
mr Digit (Node a)
sf
  where
    sc :: Int
sc      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
c
    sbc :: Int
sbc     = Int
sc Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
    ssfmr :: Int
ssfmr   = Int
ssf Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
mr
    ssfmrc :: Int
ssfmrc  = Int
sc Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
ssfmr
    ssfmrbc :: Int
ssfmrbc = Int
ssfmrc Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b

takeMiddleER :: Int -> Int
             -> Node (Elem a) -> FingerTree (Node (Elem a)) -> Digit (Elem a)
             -> FingerTree (Elem a)
takeMiddleER :: Int
-> Int
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
takeMiddleER i :: Int
i ssf :: Int
ssf (Node2 _ _ b :: Elem a
b) mr :: FingerTree (Node (Elem a))
mr sf :: Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1       = Int
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL Int
ssfmr FingerTree (Node (Elem a))
mr Digit (Elem a)
sf
  | Bool
otherwise   = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
ssfmrb (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
b) FingerTree (Node (Elem a))
mr Digit (Elem a)
sf
  where
    ssfmr :: Int
ssfmr   = Int
ssf Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Elem a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a))
mr
    ssfmrb :: Int
ssfmrb  = 1 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
ssfmr
takeMiddleER i :: Int
i ssf :: Int
ssf (Node3 _ _ b :: Elem a
b c :: Elem a
c) mr :: FingerTree (Node (Elem a))
mr sf :: Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1       = Int
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL Int
ssfmr FingerTree (Node (Elem a))
mr Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 2       = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
ssfmrc (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
c) FingerTree (Node (Elem a))
mr Digit (Elem a)
sf
  | Bool
otherwise   = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
ssfmrbc (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
b Elem a
c) FingerTree (Node (Elem a))
mr Digit (Elem a)
sf
  where
    ssfmr :: Int
ssfmr   = Int
ssf Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Elem a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a))
mr
    ssfmrc :: Int
ssfmrc  = 1 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
ssfmr
    ssfmrbc :: Int
ssfmrbc = Int
ssfmr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 2

takeSuffixER :: Int -> Digit (Elem a) -> FingerTree (Elem a)
takeSuffixER :: Int -> Digit (Elem a) -> FingerTree (Elem a)
takeSuffixER !Int
_i (One _) = FingerTree (Elem a)
forall a. FingerTree a
EmptyT
takeSuffixER i :: Int
i (Two _ b :: Elem a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1       = FingerTree (Elem a)
forall a. FingerTree a
EmptyT
  | Bool
otherwise   = Elem a -> FingerTree (Elem a)
forall a. a -> FingerTree a
Single Elem a
b
takeSuffixER i :: Int
i (Three _ b :: Elem a
b c :: Elem a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1       = FingerTree (Elem a)
forall a. FingerTree a
EmptyT
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 2       = Elem a -> FingerTree (Elem a)
forall a. a -> FingerTree a
Single Elem a
c
  | Bool
otherwise   = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 2 (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
b) FingerTree (Node (Elem a))
forall a. FingerTree a
EmptyT (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
c)
takeSuffixER i :: Int
i (Four _ b :: Elem a
b c :: Elem a
c d :: Elem a
d)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1       = FingerTree (Elem a)
forall a. FingerTree a
EmptyT
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 2       = Elem a -> FingerTree (Elem a)
forall a. a -> FingerTree a
Single Elem a
d
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 3       = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 2 (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
c) FingerTree (Node (Elem a))
forall a. FingerTree a
EmptyT (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
d)
  | Bool
otherwise   = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 3 (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
b Elem a
c) FingerTree (Node (Elem a))
forall a. FingerTree a
EmptyT (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
d)

takeSuffixNR :: Int -> Digit (Node a)
                    -> StrictPair (Node a) (FingerTree (Node a))
takeSuffixNR :: Int -> Digit (Node a) -> StrictPair (Node a) (FingerTree (Node a))
takeSuffixNR !Int
_i (One a :: Node a
a) = Node a
a Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: FingerTree (Node a)
forall a. FingerTree a
EmptyT
takeSuffixNR i :: Int
i (Two a :: Node a
a b :: Node a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sb      = Node a
b Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: FingerTree (Node a)
forall a. FingerTree a
EmptyT
  | Bool
otherwise   = Node a
a Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single Node a
b
  where
    sb :: Int
sb      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
takeSuffixNR i :: Int
i (Three a :: Node a
a b :: Node a
b c :: Node a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sc      = Node a
c Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: FingerTree (Node a)
forall a. FingerTree a
EmptyT
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sbc     = Node a
b Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single Node a
c
  | Bool
otherwise   = Node a
a Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sbc (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
b) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
c)
  where
    sc :: Int
sc      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
c
    sbc :: Int
sbc     = Int
sc Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
takeSuffixNR i :: Int
i (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sd      = Node a
d Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: FingerTree (Node a)
forall a. FingerTree a
EmptyT
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
scd     = Node a
c Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single Node a
d
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sbcd    = Node a
b Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
scd (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
c) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
d)
  | Bool
otherwise   = Node a
a Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sbcd (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
b Node a
c) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
d)
  where
    sd :: Int
sd      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
d
    scd :: Int
scd     = Int
sd Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
c
    sbcd :: Int
sbcd    = Int
scd Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b

takePrefixER :: Int -> Int -> Digit (Elem a) -> FingerTree (Node (Elem a)) -> Digit (Elem a) ->
   FingerTree (Elem a)
takePrefixER :: Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
takePrefixER !Int
_i !Int
s (One _) m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf = Int
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
takePrefixER i :: Int
i s :: Int
s (Two _ b :: Elem a
b) m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1      = Int
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 2) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  | Bool
otherwise  = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
b) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
takePrefixER i :: Int
i s :: Int
s (Three _ b :: Elem a
b c :: Elem a
c) m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1      = Int
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 3) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 2      = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 2) (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
c) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  | Bool
otherwise  = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
b Elem a
c) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
takePrefixER i :: Int
i s :: Int
s (Four _ b :: Elem a
b c :: Elem a
c d :: Elem a
d) m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1      = Int
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 4) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 2      = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 3) (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
d) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 3      = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 2) (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
c Elem a
d) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  | Bool
otherwise  = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
b Elem a
c Elem a
d) FingerTree (Node (Elem a))
m Digit (Elem a)
sf

takePrefixNR :: Int -> Int -> Digit (Node a) -> FingerTree (Node (Node a)) -> Digit (Node a) ->
   StrictPair (Node a) (FingerTree (Node a))
takePrefixNR :: Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> StrictPair (Node a) (FingerTree (Node a))
takePrefixNR !Int
_i !Int
s (One a :: Node a
a) m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf = Node a
a Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
a) FingerTree (Node (Node a))
m Digit (Node a)
sf
takePrefixNR i :: Int
i s :: Int
s (Two a :: Node a
a b :: Node a
b) m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sb      = Node a
b Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sb Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
a) FingerTree (Node (Node a))
m Digit (Node a)
sf
  | Bool
otherwise   = Node a
a Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
a) (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
b) FingerTree (Node (Node a))
m Digit (Node a)
sf
  where
    sb :: Int
sb      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
takePrefixNR i :: Int
i s :: Int
s (Three a :: Node a
a b :: Node a
b c :: Node a
c) m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sc      = Node a
c Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sbc Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
a) FingerTree (Node (Node a))
m Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sbc     = Node a
b Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
b Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
a) (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
c) FingerTree (Node (Node a))
m Digit (Node a)
sf
  | Bool
otherwise   = Node a
a Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
a) (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
b Node a
c) FingerTree (Node (Node a))
m Digit (Node a)
sf
  where
    sc :: Int
sc      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
c
    sbc :: Int
sbc     = Int
sc Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
takePrefixNR i :: Int
i s :: Int
s (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sd      = Node a
d Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sd Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sabc) FingerTree (Node (Node a))
m Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
scd     = Node a
c Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sabc) (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
d) FingerTree (Node (Node a))
m Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sbcd    = Node a
b Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
c Node a
d) FingerTree (Node (Node a))
m Digit (Node a)
sf
  | Bool
otherwise   = Node a
a Node a
-> FingerTree (Node a) -> StrictPair (Node a) (FingerTree (Node a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
b Node a
c Node a
d) FingerTree (Node (Node a))
m Digit (Node a)
sf
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
    sabc :: Int
sabc    = Int
sab Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
c
    sd :: Int
sd      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
d
    scd :: Int
scd     = Node a -> Int
forall a. Sized a => a -> Int
size Node a
c Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sd
    sbcd :: Int
sbcd    = Node a -> Int
forall a. Sized a => a -> Int
size Node a
b Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
scd

-- | \( O(\log(\min(i,n-i))) \). Split a sequence at a given position.
-- @'splitAt' i s = ('take' i s, 'drop' i s)@.
splitAt                  :: Int -> Seq a -> (Seq a, Seq a)
splitAt :: Int -> Seq a -> (Seq a, Seq a)
splitAt i :: Int
i xs :: Seq a
xs@(Seq t :: FingerTree (Elem a)
t)
  -- We use an unsigned comparison to make the common case
  -- faster. This only works because our representation of
  -- sizes as (signed) Ints gives us a free high bit to play
  -- with. Note also that there's no sharing to lose in the
  -- case that the length is 0.
  | Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral Int
i Word -> Word -> Word
forall a. Num a => a -> a -> a
- 1 Word -> Word -> Bool
forall a. Ord a => a -> a -> Bool
< (Int -> Word
forall a b. (Integral a, Num b) => a -> b
fromIntegral (Seq a -> Int
forall a. Seq a -> Int
length Seq a
xs) Word -> Word -> Word
forall a. Num a => a -> a -> a
- 1 :: Word) =
      case Int
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a.
Int
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
splitTreeE Int
i FingerTree (Elem a)
t of
        l :: FingerTree (Elem a)
l :*: r :: FingerTree (Elem a)
r -> (FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq FingerTree (Elem a)
l, FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq FingerTree (Elem a)
r)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
<= 0 = (Seq a
forall a. Seq a
empty, Seq a
xs)
  | Bool
otherwise = (Seq a
xs, Seq a
forall a. Seq a
empty)

-- | \( O(\log(\min(i,n-i))) \) A version of 'splitAt' that does not attempt to
-- enhance sharing when the split point is less than or equal to 0, and that
-- gives completely wrong answers when the split point is at least the length
-- of the sequence, unless the sequence is a singleton. This is used to
-- implement zipWith and chunksOf, which are extremely sensitive to the cost of
-- splitting very short sequences. There is just enough of a speed increase to
-- make this worth the trouble.
uncheckedSplitAt :: Int -> Seq a -> (Seq a, Seq a)
uncheckedSplitAt :: Int -> Seq a -> (Seq a, Seq a)
uncheckedSplitAt i :: Int
i (Seq xs :: FingerTree (Elem a)
xs) = case Int
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a.
Int
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
splitTreeE Int
i FingerTree (Elem a)
xs of
  l :: FingerTree (Elem a)
l :*: r :: FingerTree (Elem a)
r -> (FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq FingerTree (Elem a)
l, FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq FingerTree (Elem a)
r)

data Split a = Split !(FingerTree (Node a)) !(Node a) !(FingerTree (Node a))
#ifdef TESTING
    deriving Show
#endif

splitTreeE :: Int -> FingerTree (Elem a) -> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
splitTreeE :: Int
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
splitTreeE !Int
_i EmptyT = FingerTree (Elem a)
forall a. FingerTree a
EmptyT FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: FingerTree (Elem a)
forall a. FingerTree a
EmptyT
splitTreeE i :: Int
i t :: FingerTree (Elem a)
t@(Single _)
   | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
<= 0 = FingerTree (Elem a)
forall a. FingerTree a
EmptyT FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: FingerTree (Elem a)
t
   | Bool
otherwise = FingerTree (Elem a)
t FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: FingerTree (Elem a)
forall a. FingerTree a
EmptyT
splitTreeE i :: Int
i (Deep s :: Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spr     = Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a.
Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
splitPrefixE Int
i Int
s Digit (Elem a)
pr FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spm     = case Int -> FingerTree (Node (Elem a)) -> Split (Elem a)
forall a. Int -> FingerTree (Node a) -> Split a
splitTreeN Int
im FingerTree (Node (Elem a))
m of
            Split ml :: FingerTree (Node (Elem a))
ml xs :: Node (Elem a)
xs mr :: FingerTree (Node (Elem a))
mr -> Int
-> Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a.
Int
-> Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
splitMiddleE (Int
im Int -> Int -> Int
forall a. Num a => a -> a -> a
- FingerTree (Node (Elem a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a))
ml) Int
s Int
spr Digit (Elem a)
pr FingerTree (Node (Elem a))
ml Node (Elem a)
xs FingerTree (Node (Elem a))
mr Digit (Elem a)
sf
  | Bool
otherwise   = Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a.
Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
splitSuffixE (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spm) Int
s Digit (Elem a)
pr FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  where
    spr :: Int
spr     = Digit (Elem a) -> Int
forall a. Sized a => a -> Int
size Digit (Elem a)
pr
    spm :: Int
spm     = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Elem a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a))
m
    im :: Int
im      = Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spr

splitTreeN :: Int -> FingerTree (Node a) -> Split a
splitTreeN :: Int -> FingerTree (Node a) -> Split a
splitTreeN !Int
_i EmptyT = [Char] -> Split a
forall a. HasCallStack => [Char] -> a
error "splitTreeN of empty tree"
splitTreeN _i :: Int
_i (Single x :: Node a
x) = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split FingerTree (Node a)
forall a. FingerTree a
EmptyT Node a
x FingerTree (Node a)
forall a. FingerTree a
EmptyT
splitTreeN i :: Int
i (Deep s :: Int
s pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spr     = Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> Split a
forall a.
Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> Split a
splitPrefixN Int
i Int
s Digit (Node a)
pr FingerTree (Node (Node a))
m Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
spm     = case Int -> FingerTree (Node (Node a)) -> Split (Node a)
forall a. Int -> FingerTree (Node a) -> Split a
splitTreeN Int
im FingerTree (Node (Node a))
m of
            Split ml :: FingerTree (Node (Node a))
ml xs :: Node (Node a)
xs mr :: FingerTree (Node (Node a))
mr -> Int
-> Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Node (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> Split a
forall a.
Int
-> Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Node (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> Split a
splitMiddleN (Int
im Int -> Int -> Int
forall a. Num a => a -> a -> a
- FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
ml) Int
s Int
spr Digit (Node a)
pr FingerTree (Node (Node a))
ml Node (Node a)
xs FingerTree (Node (Node a))
mr Digit (Node a)
sf
  | Bool
otherwise   = Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> Split a
forall a.
Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> Split a
splitSuffixN (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spm) Int
s Digit (Node a)
pr FingerTree (Node (Node a))
m Digit (Node a)
sf  where
    spr :: Int
spr     = Digit (Node a) -> Int
forall a. Sized a => a -> Int
size Digit (Node a)
pr
    spm :: Int
spm     = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
m
    im :: Int
im      = Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spr

splitMiddleN :: Int -> Int -> Int
             -> Digit (Node a) -> FingerTree (Node (Node a)) -> Node (Node a) -> FingerTree (Node (Node a)) -> Digit (Node a)
             -> Split a
splitMiddleN :: Int
-> Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Node (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> Split a
splitMiddleN i :: Int
i s :: Int
s spr :: Int
spr pr :: Digit (Node a)
pr ml :: FingerTree (Node (Node a))
ml (Node2 _ a :: Node a
a b :: Node a
b) mr :: FingerTree (Node (Node a))
mr sf :: Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR Int
sprml Digit (Node a)
pr FingerTree (Node (Node a))
ml) Node a
a (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sprmla) (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
b) FingerTree (Node (Node a))
mr Digit (Node a)
sf)
  | Bool
otherwise   = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sprmla Digit (Node a)
pr FingerTree (Node (Node a))
ml (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
a)) Node a
b (Int
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sprmla Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
b) FingerTree (Node (Node a))
mr Digit (Node a)
sf)
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
    sprml :: Int
sprml   = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
ml
    sprmla :: Int
sprmla  = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sprml
splitMiddleN i :: Int
i s :: Int
s spr :: Int
spr pr :: Digit (Node a)
pr ml :: FingerTree (Node (Node a))
ml (Node3 _ a :: Node a
a b :: Node a
b c :: Node a
c) mr :: FingerTree (Node (Node a))
mr sf :: Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR Int
sprml Digit (Node a)
pr FingerTree (Node (Node a))
ml) Node a
a (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sprmla) (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
b Node a
c) FingerTree (Node (Node a))
mr Digit (Node a)
sf)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sprmla Digit (Node a)
pr FingerTree (Node (Node a))
ml (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
a)) Node a
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sprmlab) (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
c) FingerTree (Node (Node a))
mr Digit (Node a)
sf)
  | Bool
otherwise   = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sprmlab Digit (Node a)
pr FingerTree (Node (Node a))
ml (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
a Node a
b)) Node a
c (Int
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sprmlab Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
c) FingerTree (Node (Node a))
mr Digit (Node a)
sf)
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
    sprml :: Int
sprml   = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
ml
    sprmla :: Int
sprmla  = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sprml
    sprmlab :: Int
sprmlab = Int
sprmla Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b

splitMiddleE :: Int -> Int -> Int
             -> Digit (Elem a) -> FingerTree (Node (Elem a)) -> Node (Elem a) -> FingerTree (Node (Elem a)) -> Digit (Elem a)
             -> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
splitMiddleE :: Int
-> Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Node (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
splitMiddleE i :: Int
i s :: Int
s spr :: Int
spr pr :: Digit (Elem a)
pr ml :: FingerTree (Node (Elem a))
ml (Node2 _ a :: Elem a
a b :: Elem a
b) mr :: FingerTree (Node (Elem a))
mr sf :: Digit (Elem a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< 1       = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Elem a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR Int
sprml Digit (Elem a)
pr FingerTree (Node (Elem a))
ml FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sprml) (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
b) FingerTree (Node (Elem a))
mr Digit (Elem a)
sf
  | Bool
otherwise   = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sprmla Digit (Elem a)
pr FingerTree (Node (Elem a))
ml (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a) FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sprmla) (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
b) FingerTree (Node (Elem a))
mr Digit (Elem a)
sf
  where
    sprml :: Int
sprml   = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Elem a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a))
ml
    sprmla :: Int
sprmla  = 1 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sprml
splitMiddleE i :: Int
i s :: Int
s spr :: Int
spr pr :: Digit (Elem a)
pr ml :: FingerTree (Node (Elem a))
ml (Node3 _ a :: Elem a
a b :: Elem a
b c :: Elem a
c) mr :: FingerTree (Node (Elem a))
mr sf :: Digit (Elem a)
sf = case Int
i of
  0 -> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Elem a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR Int
sprml Digit (Elem a)
pr FingerTree (Node (Elem a))
ml FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sprml) (Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
a Elem a
b Elem a
c) FingerTree (Node (Elem a))
mr Digit (Elem a)
sf
  1 -> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sprmla Digit (Elem a)
pr FingerTree (Node (Elem a))
ml (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a) FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sprmla) (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
b Elem a
c) FingerTree (Node (Elem a))
mr Digit (Elem a)
sf
  _ -> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sprmlab Digit (Elem a)
pr FingerTree (Node (Elem a))
ml (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
b) FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sprmlab) (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
c) FingerTree (Node (Elem a))
mr Digit (Elem a)
sf
  where
    sprml :: Int
sprml   = Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Elem a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a))
ml
    sprmla :: Int
sprmla  = 1 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sprml
    sprmlab :: Int
sprmlab = Int
sprmla Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1

splitPrefixE :: Int -> Int -> Digit (Elem a) -> FingerTree (Node (Elem a)) -> Digit (Elem a) ->
                    StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
splitPrefixE :: Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
splitPrefixE !Int
_i !Int
s (One a :: Elem a
a) m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf = FingerTree (Elem a)
forall a. FingerTree a
EmptyT FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
splitPrefixE i :: Int
i s :: Int
s (Two a :: Elem a
a b :: Elem a
b) m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf = case Int
i of
  0 -> FingerTree (Elem a)
forall a. FingerTree a
EmptyT FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
b) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  _ -> Elem a -> FingerTree (Elem a)
forall a. a -> FingerTree a
Single Elem a
a FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
b) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
splitPrefixE i :: Int
i s :: Int
s (Three a :: Elem a
a b :: Elem a
b c :: Elem a
c) m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf = case Int
i of
  0 -> FingerTree (Elem a)
forall a. FingerTree a
EmptyT FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
a Elem a
b Elem a
c) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  1 -> Elem a -> FingerTree (Elem a)
forall a. a -> FingerTree a
Single Elem a
a FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
b Elem a
c) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  _ -> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 2 (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a) FingerTree (Node (Elem a))
forall a. FingerTree a
EmptyT (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
b) FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 2) (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
c) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
splitPrefixE i :: Int
i s :: Int
s (Four a :: Elem a
a b :: Elem a
b c :: Elem a
c d :: Elem a
d) m :: FingerTree (Node (Elem a))
m sf :: Digit (Elem a)
sf = case Int
i of
  0 -> FingerTree (Elem a)
forall a. FingerTree a
EmptyT FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s (Elem a -> Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> a -> Digit a
Four Elem a
a Elem a
b Elem a
c Elem a
d) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  1 -> Elem a -> FingerTree (Elem a)
forall a. a -> FingerTree a
Single Elem a
a FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) (Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
b Elem a
c Elem a
d) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  2 -> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 2 (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a) FingerTree (Node (Elem a))
forall a. FingerTree a
EmptyT (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
b) FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 2) (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
c Elem a
d) FingerTree (Node (Elem a))
m Digit (Elem a)
sf
  _ -> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 3 (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
b) FingerTree (Node (Elem a))
forall a. FingerTree a
EmptyT (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
c) FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 3) (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
d) FingerTree (Node (Elem a))
m Digit (Elem a)
sf

splitPrefixN :: Int -> Int -> Digit (Node a) -> FingerTree (Node (Node a)) -> Digit (Node a) ->
                    Split a
splitPrefixN :: Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> Split a
splitPrefixN !Int
_i !Int
s (One a :: Node a
a) m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split FingerTree (Node a)
forall a. FingerTree a
EmptyT Node a
a (Int
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
a) FingerTree (Node (Node a))
m Digit (Node a)
sf)
splitPrefixN i :: Int
i s :: Int
s (Two a :: Node a
a b :: Node a
b) m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split FingerTree (Node a)
forall a. FingerTree a
EmptyT Node a
a (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
b) FingerTree (Node (Node a))
m Digit (Node a)
sf)
  | Bool
otherwise   = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single Node a
a) Node a
b (Int
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
b) FingerTree (Node (Node a))
m Digit (Node a)
sf)
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
splitPrefixN i :: Int
i s :: Int
s (Three a :: Node a
a b :: Node a
b c :: Node a
c) m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split FingerTree (Node a)
forall a. FingerTree a
EmptyT Node a
a (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
b Node a
c) FingerTree (Node (Node a))
m Digit (Node a)
sf)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single Node a
a) Node a
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
c) FingerTree (Node (Node a))
m Digit (Node a)
sf)
  | Bool
otherwise   = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sab (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
a) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
b)) Node a
c (Int
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
c) FingerTree (Node (Node a))
m Digit (Node a)
sf)
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
splitPrefixN i :: Int
i s :: Int
s (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d) m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split FingerTree (Node a)
forall a. FingerTree a
EmptyT Node a
a (FingerTree (Node a) -> Split a) -> FingerTree (Node a) -> Split a
forall a b. (a -> b) -> a -> b
$ Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa) (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
b Node a
c Node a
d) FingerTree (Node (Node a))
m Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single Node a
a) Node a
b (FingerTree (Node a) -> Split a) -> FingerTree (Node a) -> Split a
forall a b. (a -> b) -> a -> b
$ Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab) (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
c Node a
d) FingerTree (Node (Node a))
m Digit (Node a)
sf
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sabc    = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sab (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
a) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
b)) Node a
c (FingerTree (Node a) -> Split a) -> FingerTree (Node a) -> Split a
forall a b. (a -> b) -> a -> b
$ Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sabc) (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
d) FingerTree (Node (Node a))
m Digit (Node a)
sf
  | Bool
otherwise   = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sabc (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
a Node a
b) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
c)) Node a
d (FingerTree (Node a) -> Split a) -> FingerTree (Node a) -> Split a
forall a b. (a -> b) -> a -> b
$ Int
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a. Int -> FingerTree (Node a) -> Digit a -> FingerTree a
pullL (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sabc Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
d) FingerTree (Node (Node a))
m Digit (Node a)
sf
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
    sabc :: Int
sabc    = Int
sab Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
c

splitSuffixE :: Int -> Int -> Digit (Elem a) -> FingerTree (Node (Elem a)) -> Digit (Elem a) ->
   StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
splitSuffixE :: Int
-> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
splitSuffixE !Int
_i !Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m (One a :: Elem a
a) = Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Elem a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Elem a -> FingerTree (Elem a)
forall a. a -> FingerTree a
Single Elem a
a
splitSuffixE i :: Int
i s :: Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m (Two a :: Elem a
a b :: Elem a
b) = case Int
i of
  0 -> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Elem a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 2) Digit (Elem a)
pr FingerTree (Node (Elem a))
m FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 2 (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a) FingerTree (Node (Elem a))
forall a. FingerTree a
EmptyT (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
b)
  _ -> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a) FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Elem a -> FingerTree (Elem a)
forall a. a -> FingerTree a
Single Elem a
b
splitSuffixE i :: Int
i s :: Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m (Three a :: Elem a
a b :: Elem a
b c :: Elem a
c) = case Int
i of
  0 -> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Elem a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 3) Digit (Elem a)
pr FingerTree (Node (Elem a))
m FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 3 (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
b) FingerTree (Node (Elem a))
forall a. FingerTree a
EmptyT (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
c)
  1 -> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 2) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a) FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 2 (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
b) FingerTree (Node (Elem a))
forall a. FingerTree a
EmptyT (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
c)
  _ -> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
b) FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Elem a -> FingerTree (Elem a)
forall a. a -> FingerTree a
Single Elem a
c
splitSuffixE i :: Int
i s :: Int
s pr :: Digit (Elem a)
pr m :: FingerTree (Node (Elem a))
m (Four a :: Elem a
a b :: Elem a
b c :: Elem a
c d :: Elem a
d) = case Int
i of
  0 -> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> FingerTree (Elem a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 4) Digit (Elem a)
pr FingerTree (Node (Elem a))
m FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 4 (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
b) FingerTree (Node (Elem a))
forall a. FingerTree a
EmptyT (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
c Elem a
d)
  1 -> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 3) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
a) FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 3 (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
b Elem a
c) FingerTree (Node (Elem a))
forall a. FingerTree a
EmptyT (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
d)
  2 -> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 2) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> Digit a
Two Elem a
a Elem a
b) FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 2 (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
c) FingerTree (Node (Elem a))
forall a. FingerTree a
EmptyT (Elem a -> Digit (Elem a)
forall a. a -> Digit a
One Elem a
d)
  _ -> Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1) Digit (Elem a)
pr FingerTree (Node (Elem a))
m (Elem a -> Elem a -> Elem a -> Digit (Elem a)
forall a. a -> a -> a -> Digit a
Three Elem a
a Elem a
b Elem a
c) FingerTree (Elem a)
-> FingerTree (Elem a)
-> StrictPair (FingerTree (Elem a)) (FingerTree (Elem a))
forall a b. a -> b -> StrictPair a b
:*: Elem a -> FingerTree (Elem a)
forall a. a -> FingerTree a
Single Elem a
d

splitSuffixN :: Int -> Int -> Digit (Node a) -> FingerTree (Node (Node a)) -> Digit (Node a) ->
   Split a
splitSuffixN :: Int
-> Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> Split a
splitSuffixN !Int
_i !Int
s pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m (One a :: Node a
a) = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
a) Digit (Node a)
pr FingerTree (Node (Node a))
m) Node a
a FingerTree (Node a)
forall a. FingerTree a
EmptyT
splitSuffixN i :: Int
i s :: Int
s pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m (Two a :: Node a
a b :: Node a
b)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
b) Digit (Node a)
pr FingerTree (Node (Node a))
m) Node a
a (Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single Node a
b)
  | Bool
otherwise   = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
b) Digit (Node a)
pr FingerTree (Node (Node a))
m (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
a)) Node a
b FingerTree (Node a)
forall a. FingerTree a
EmptyT
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
splitSuffixN i :: Int
i s :: Int
s pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m (Three a :: Node a
a b :: Node a
b c :: Node a
c)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sab Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
c) Digit (Node a)
pr FingerTree (Node (Node a))
m) Node a
a (Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
b) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
c))
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
b Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
c) Digit (Node a)
pr FingerTree (Node (Node a))
m (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
a)) Node a
b (Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single Node a
c)
  | Bool
otherwise   = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Node a -> Int
forall a. Sized a => a -> Int
size Node a
c) Digit (Node a)
pr FingerTree (Node (Node a))
m (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
a Node a
b)) Node a
c FingerTree (Node a)
forall a. FingerTree a
EmptyT
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
splitSuffixN i :: Int
i s :: Int
s pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m (Four a :: Node a
a b :: Node a
b c :: Node a
c d :: Node a
d)
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sa      = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> FingerTree (Node a)
forall a. Int -> Digit a -> FingerTree (Node a) -> FingerTree a
pullR (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sbcd) Digit (Node a)
pr FingerTree (Node (Node a))
m) Node a
a (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
sbcd (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
b Node a
c) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
d))
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sab     = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sbcd) Digit (Node a)
pr FingerTree (Node (Node a))
m (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
a)) Node a
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
scd (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
c) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
d))
  | Int
i Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
< Int
sabc    = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
scd) Digit (Node a)
pr FingerTree (Node (Node a))
m (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
a Node a
b)) Node a
c (Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single Node a
d)
  | Bool
otherwise   = FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
forall a.
FingerTree (Node a) -> Node a -> FingerTree (Node a) -> Split a
Split (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
sd) Digit (Node a)
pr FingerTree (Node (Node a))
m (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
a Node a
b Node a
c)) Node a
d FingerTree (Node a)
forall a. FingerTree a
EmptyT
  where
    sa :: Int
sa      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
a
    sab :: Int
sab     = Int
sa Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
b
    sabc :: Int
sabc    = Int
sab Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Node a -> Int
forall a. Sized a => a -> Int
size Node a
c
    sd :: Int
sd      = Node a -> Int
forall a. Sized a => a -> Int
size Node a
d
    scd :: Int
scd     = Node a -> Int
forall a. Sized a => a -> Int
size Node a
c Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
sd
    sbcd :: Int
sbcd    = Node a -> Int
forall a. Sized a => a -> Int
size Node a
b Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
scd

-- | \(O \Bigl(\bigl(\frac{n}{c}\bigr) \log c\Bigr)\). @chunksOf c xs@ splits @xs@ into chunks of size @c>0@.
-- If @c@ does not divide the length of @xs@ evenly, then the last element
-- of the result will be short.
--
-- Side note: the given performance bound is missing some messy terms that only
-- really affect edge cases. Performance degrades smoothly from \( O(1) \) (for
-- \( c = n \)) to \( O(n) \) (for \( c = 1 \)). The true bound is more like
-- \( O \Bigl( \bigl(\frac{n}{c} - 1\bigr) (\log (c + 1)) + 1 \Bigr) \)
--
-- @since 0.5.8
chunksOf :: Int -> Seq a -> Seq (Seq a)
chunksOf :: Int -> Seq a -> Seq (Seq a)
chunksOf n :: Int
n xs :: Seq a
xs | Int
n Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
<= 0 =
  if Seq a -> Bool
forall a. Seq a -> Bool
null Seq a
xs
    then Seq (Seq a)
forall a. Seq a
empty
    else [Char] -> Seq (Seq a)
forall a. HasCallStack => [Char] -> a
error "chunksOf: A non-empty sequence can only be broken up into positively-sized chunks."
chunksOf 1 s :: Seq a
s = (a -> Seq a) -> Seq a -> Seq (Seq a)
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap a -> Seq a
forall a. a -> Seq a
singleton Seq a
s
chunksOf n :: Int
n s :: Seq a
s = (Int -> Seq a -> (Seq a, Seq a))
-> (Seq a -> () -> Seq a) -> Seq a -> Seq () -> Seq (Seq a)
forall s a' b'.
(Int -> s -> (s, s)) -> (s -> a' -> b') -> s -> Seq a' -> Seq b'
splitMap (Int -> Seq a -> (Seq a, Seq a)
forall a. Int -> Seq a -> (Seq a, Seq a)
uncheckedSplitAt (Int -> Seq a -> (Seq a, Seq a))
-> (Int -> Int) -> Int -> Seq a -> (Seq a, Seq a)
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
n)) Seq a -> () -> Seq a
forall a b. a -> b -> a
const Seq a
most (Int -> () -> Seq ()
forall a. Int -> a -> Seq a
replicate Int
numReps ())
                 Seq (Seq a) -> Seq (Seq a) -> Seq (Seq a)
forall a. Seq a -> Seq a -> Seq a
>< if Seq a -> Bool
forall a. Seq a -> Bool
null Seq a
end then Seq (Seq a)
forall a. Seq a
empty else Seq a -> Seq (Seq a)
forall a. a -> Seq a
singleton Seq a
end
  where
    (numReps :: Int
numReps, endLength :: Int
endLength) = Seq a -> Int
forall a. Seq a -> Int
length Seq a
s Int -> Int -> (Int, Int)
forall a. Integral a => a -> a -> (a, a)
`quotRem` Int
n
    (most :: Seq a
most, end :: Seq a
end) = Int -> Seq a -> (Seq a, Seq a)
forall a. Int -> Seq a -> (Seq a, Seq a)
splitAt (Seq a -> Int
forall a. Seq a -> Int
length Seq a
s Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
endLength) Seq a
s

-- | \( O(n) \).  Returns a sequence of all suffixes of this sequence,
-- longest first.  For example,
--
-- > tails (fromList "abc") = fromList [fromList "abc", fromList "bc", fromList "c", fromList ""]
--
-- Evaluating the \( i \)th suffix takes \( O(\log(\min(i, n-i))) \), but evaluating
-- every suffix in the sequence takes \( O(n) \) due to sharing.
tails                   :: Seq a -> Seq (Seq a)
tails :: Seq a -> Seq (Seq a)
tails (Seq xs :: FingerTree (Elem a)
xs)          = FingerTree (Elem (Seq a)) -> Seq (Seq a)
forall a. FingerTree (Elem a) -> Seq a
Seq ((FingerTree (Elem a) -> Elem (Seq a))
-> FingerTree (Elem a) -> FingerTree (Elem (Seq a))
forall a b.
Sized a =>
(FingerTree a -> b) -> FingerTree a -> FingerTree b
tailsTree (Seq a -> Elem (Seq a)
forall a. a -> Elem a
Elem (Seq a -> Elem (Seq a))
-> (FingerTree (Elem a) -> Seq a)
-> FingerTree (Elem a)
-> Elem (Seq a)
forall b c a. (b -> c) -> (a -> b) -> a -> c
. FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq) FingerTree (Elem a)
xs) Seq (Seq a) -> Seq a -> Seq (Seq a)
forall a. Seq a -> a -> Seq a
|> Seq a
forall a. Seq a
empty

-- | \( O(n) \).  Returns a sequence of all prefixes of this sequence,
-- shortest first.  For example,
--
-- > inits (fromList "abc") = fromList [fromList "", fromList "a", fromList "ab", fromList "abc"]
--
-- Evaluating the \( i \)th prefix takes \( O(\log(\min(i, n-i))) \), but evaluating
-- every prefix in the sequence takes \( O(n) \) due to sharing.
inits                   :: Seq a -> Seq (Seq a)
inits :: Seq a -> Seq (Seq a)
inits (Seq xs :: FingerTree (Elem a)
xs)          = Seq a
forall a. Seq a
empty Seq a -> Seq (Seq a) -> Seq (Seq a)
forall a. a -> Seq a -> Seq a
<| FingerTree (Elem (Seq a)) -> Seq (Seq a)
forall a. FingerTree (Elem a) -> Seq a
Seq ((FingerTree (Elem a) -> Elem (Seq a))
-> FingerTree (Elem a) -> FingerTree (Elem (Seq a))
forall a b.
Sized a =>
(FingerTree a -> b) -> FingerTree a -> FingerTree b
initsTree (Seq a -> Elem (Seq a)
forall a. a -> Elem a
Elem (Seq a -> Elem (Seq a))
-> (FingerTree (Elem a) -> Seq a)
-> FingerTree (Elem a)
-> Elem (Seq a)
forall b c a. (b -> c) -> (a -> b) -> a -> c
. FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq) FingerTree (Elem a)
xs)

-- This implementation of tails (and, analogously, inits) has the
-- following algorithmic advantages:
--      Evaluating each tail in the sequence takes linear total time,
--      which is better than we could say for
--              @fromList [drop n xs | n <- [0..length xs]]@.
--      Evaluating any individual tail takes logarithmic time, which is
--      better than we can say for either
--              @scanr (<|) empty xs@ or @iterateN (length xs + 1) (\ xs -> let _ :< xs' = viewl xs in xs') xs@.
--
-- Moreover, if we actually look at every tail in the sequence, the
-- following benchmarks demonstrate that this implementation is modestly
-- faster than any of the above:
--
-- Times (ms)
--               min      mean    +/-sd    median    max
-- Seq.tails:   21.986   24.961   10.169   22.417   86.485
-- scanr:       85.392   87.942    2.488   87.425  100.217
-- iterateN:       29.952   31.245    1.574   30.412   37.268
--
-- The algorithm for tails (and, analogously, inits) is as follows:
--
-- A Node in the FingerTree of tails is constructed by evaluating the
-- corresponding tail of the FingerTree of Nodes, considering the first
-- Node in this tail, and constructing a Node in which each tail of this
-- Node is made to be the prefix of the remaining tree.  This ends up
-- working quite elegantly, as the remainder of the tail of the FingerTree
-- of Nodes becomes the middle of a new tail, the suffix of the Node is
-- the prefix, and the suffix of the original tree is retained.
--
-- In particular, evaluating the /i/th tail involves making as
-- many partial evaluations as the Node depth of the /i/th element.
-- In addition, when we evaluate the /i/th tail, and we also evaluate
-- the /j/th tail, and /m/ Nodes are on the path to both /i/ and /j/,
-- each of those /m/ evaluations are shared between the computation of
-- the /i/th and /j/th tails.
--
-- wasserman.louis@gmail.com, 7/16/09

tailsDigit :: Digit a -> Digit (Digit a)
tailsDigit :: Digit a -> Digit (Digit a)
tailsDigit (One a :: a
a) = Digit a -> Digit (Digit a)
forall a. a -> Digit a
One (a -> Digit a
forall a. a -> Digit a
One a
a)
tailsDigit (Two a :: a
a b :: a
b) = Digit a -> Digit a -> Digit (Digit a)
forall a. a -> a -> Digit a
Two (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b) (a -> Digit a
forall a. a -> Digit a
One a
b)
tailsDigit (Three a :: a
a b :: a
b c :: a
c) = Digit a -> Digit a -> Digit a -> Digit (Digit a)
forall a. a -> a -> a -> Digit a
Three (a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b a
c) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
b a
c) (a -> Digit a
forall a. a -> Digit a
One a
c)
tailsDigit (Four a :: a
a b :: a
b c :: a
c d :: a
d) = Digit a -> Digit a -> Digit a -> Digit a -> Digit (Digit a)
forall a. a -> a -> a -> a -> Digit a
Four (a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b a
c a
d) (a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
b a
c a
d) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
c a
d) (a -> Digit a
forall a. a -> Digit a
One a
d)

initsDigit :: Digit a -> Digit (Digit a)
initsDigit :: Digit a -> Digit (Digit a)
initsDigit (One a :: a
a) = Digit a -> Digit (Digit a)
forall a. a -> Digit a
One (a -> Digit a
forall a. a -> Digit a
One a
a)
initsDigit (Two a :: a
a b :: a
b) = Digit a -> Digit a -> Digit (Digit a)
forall a. a -> a -> Digit a
Two (a -> Digit a
forall a. a -> Digit a
One a
a) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b)
initsDigit (Three a :: a
a b :: a
b c :: a
c) = Digit a -> Digit a -> Digit a -> Digit (Digit a)
forall a. a -> a -> a -> Digit a
Three (a -> Digit a
forall a. a -> Digit a
One a
a) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b) (a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b a
c)
initsDigit (Four a :: a
a b :: a
b c :: a
c d :: a
d) = Digit a -> Digit a -> Digit a -> Digit a -> Digit (Digit a)
forall a. a -> a -> a -> a -> Digit a
Four (a -> Digit a
forall a. a -> Digit a
One a
a) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b) (a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b a
c) (a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
a a
b a
c a
d)

tailsNode :: Node a -> Node (Digit a)
tailsNode :: Node a -> Node (Digit a)
tailsNode (Node2 s :: Int
s a :: a
a b :: a
b) = Int -> Digit a -> Digit a -> Node (Digit a)
forall a. Int -> a -> a -> Node a
Node2 Int
s (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b) (a -> Digit a
forall a. a -> Digit a
One a
b)
tailsNode (Node3 s :: Int
s a :: a
a b :: a
b c :: a
c) = Int -> Digit a -> Digit a -> Digit a -> Node (Digit a)
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s (a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b a
c) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
b a
c) (a -> Digit a
forall a. a -> Digit a
One a
c)

initsNode :: Node a -> Node (Digit a)
initsNode :: Node a -> Node (Digit a)
initsNode (Node2 s :: Int
s a :: a
a b :: a
b) = Int -> Digit a -> Digit a -> Node (Digit a)
forall a. Int -> a -> a -> Node a
Node2 Int
s (a -> Digit a
forall a. a -> Digit a
One a
a) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b)
initsNode (Node3 s :: Int
s a :: a
a b :: a
b c :: a
c) = Int -> Digit a -> Digit a -> Digit a -> Node (Digit a)
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s (a -> Digit a
forall a. a -> Digit a
One a
a) (a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
a a
b) (a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
a a
b a
c)

{-# SPECIALIZE tailsTree :: (FingerTree (Elem a) -> Elem b) -> FingerTree (Elem a) -> FingerTree (Elem b) #-}
{-# SPECIALIZE tailsTree :: (FingerTree (Node a) -> Node b) -> FingerTree (Node a) -> FingerTree (Node b) #-}
-- | Given a function to apply to tails of a tree, applies that function
-- to every tail of the specified tree.
tailsTree :: Sized a => (FingerTree a -> b) -> FingerTree a -> FingerTree b
tailsTree :: (FingerTree a -> b) -> FingerTree a -> FingerTree b
tailsTree _ EmptyT = FingerTree b
forall a. FingerTree a
EmptyT
tailsTree f :: FingerTree a -> b
f (Single x :: a
x) = b -> FingerTree b
forall a. a -> FingerTree a
Single (FingerTree a -> b
f (a -> FingerTree a
forall a. a -> FingerTree a
Single a
x))
tailsTree f :: FingerTree a -> b
f (Deep n :: Int
n pr :: Digit a
pr m :: FingerTree (Node a)
m sf :: Digit a
sf) =
    Int -> Digit b -> FingerTree (Node b) -> Digit b -> FingerTree b
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
n ((Digit a -> b) -> Digit (Digit a) -> Digit b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (\ pr' :: Digit a
pr' -> FingerTree a -> b
f (Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep Digit a
pr' FingerTree (Node a)
m Digit a
sf)) (Digit a -> Digit (Digit a)
forall a. Digit a -> Digit (Digit a)
tailsDigit Digit a
pr))
        ((FingerTree (Node a) -> Node b)
-> FingerTree (Node a) -> FingerTree (Node b)
forall a b.
Sized a =>
(FingerTree a -> b) -> FingerTree a -> FingerTree b
tailsTree FingerTree (Node a) -> Node b
f' FingerTree (Node a)
m)
        ((Digit a -> b) -> Digit (Digit a) -> Digit b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (FingerTree a -> b
f (FingerTree a -> b) -> (Digit a -> FingerTree a) -> Digit a -> b
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Digit a -> FingerTree a
forall a. Sized a => Digit a -> FingerTree a
digitToTree) (Digit a -> Digit (Digit a)
forall a. Digit a -> Digit (Digit a)
tailsDigit Digit a
sf))
  where
    f' :: FingerTree (Node a) -> Node b
f' ms :: FingerTree (Node a)
ms = let ConsLTree node :: Node a
node m' :: FingerTree (Node a)
m' = FingerTree (Node a) -> ViewLTree (Node a)
forall a. Sized a => FingerTree a -> ViewLTree a
viewLTree FingerTree (Node a)
ms in
        (Digit a -> b) -> Node (Digit a) -> Node b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (\ pr' :: Digit a
pr' -> FingerTree a -> b
f (Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep Digit a
pr' FingerTree (Node a)
m' Digit a
sf)) (Node a -> Node (Digit a)
forall a. Node a -> Node (Digit a)
tailsNode Node a
node)

{-# SPECIALIZE initsTree :: (FingerTree (Elem a) -> Elem b) -> FingerTree (Elem a) -> FingerTree (Elem b) #-}
{-# SPECIALIZE initsTree :: (FingerTree (Node a) -> Node b) -> FingerTree (Node a) -> FingerTree (Node b) #-}
-- | Given a function to apply to inits of a tree, applies that function
-- to every init of the specified tree.
initsTree :: Sized a => (FingerTree a -> b) -> FingerTree a -> FingerTree b
initsTree :: (FingerTree a -> b) -> FingerTree a -> FingerTree b
initsTree _ EmptyT = FingerTree b
forall a. FingerTree a
EmptyT
initsTree f :: FingerTree a -> b
f (Single x :: a
x) = b -> FingerTree b
forall a. a -> FingerTree a
Single (FingerTree a -> b
f (a -> FingerTree a
forall a. a -> FingerTree a
Single a
x))
initsTree f :: FingerTree a -> b
f (Deep n :: Int
n pr :: Digit a
pr m :: FingerTree (Node a)
m sf :: Digit a
sf) =
    Int -> Digit b -> FingerTree (Node b) -> Digit b -> FingerTree b
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
n ((Digit a -> b) -> Digit (Digit a) -> Digit b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (FingerTree a -> b
f (FingerTree a -> b) -> (Digit a -> FingerTree a) -> Digit a -> b
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Digit a -> FingerTree a
forall a. Sized a => Digit a -> FingerTree a
digitToTree) (Digit a -> Digit (Digit a)
forall a. Digit a -> Digit (Digit a)
initsDigit Digit a
pr))
        ((FingerTree (Node a) -> Node b)
-> FingerTree (Node a) -> FingerTree (Node b)
forall a b.
Sized a =>
(FingerTree a -> b) -> FingerTree a -> FingerTree b
initsTree FingerTree (Node a) -> Node b
f' FingerTree (Node a)
m)
        ((Digit a -> b) -> Digit (Digit a) -> Digit b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (FingerTree a -> b
f (FingerTree a -> b) -> (Digit a -> FingerTree a) -> Digit a -> b
forall b c a. (b -> c) -> (a -> b) -> a -> c
. Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep Digit a
pr FingerTree (Node a)
m) (Digit a -> Digit (Digit a)
forall a. Digit a -> Digit (Digit a)
initsDigit Digit a
sf))
  where
    f' :: FingerTree (Node a) -> Node b
f' ms :: FingerTree (Node a)
ms =  let SnocRTree m' :: FingerTree (Node a)
m' node :: Node a
node = FingerTree (Node a) -> ViewRTree (Node a)
forall a. Sized a => FingerTree a -> ViewRTree a
viewRTree FingerTree (Node a)
ms in
             (Digit a -> b) -> Node (Digit a) -> Node b
forall (f :: * -> *) a b. Functor f => (a -> b) -> f a -> f b
fmap (\ sf' :: Digit a
sf' -> FingerTree a -> b
f (Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Sized a =>
Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
deep Digit a
pr FingerTree (Node a)
m' Digit a
sf')) (Node a -> Node (Digit a)
forall a. Node a -> Node (Digit a)
initsNode Node a
node)

{-# INLINE foldlWithIndex #-}
-- | 'foldlWithIndex' is a version of 'foldl' that also provides access
-- to the index of each element.
foldlWithIndex :: (b -> Int -> a -> b) -> b -> Seq a -> b
foldlWithIndex :: (b -> Int -> a -> b) -> b -> Seq a -> b
foldlWithIndex f :: b -> Int -> a -> b
f z :: b
z xs :: Seq a
xs = ((Int -> b) -> a -> Int -> b) -> (Int -> b) -> Seq a -> Int -> b
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl (\ g :: Int -> b
g x :: a
x !Int
i -> b -> Int -> a -> b
f (Int -> b
g (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1)) Int
i a
x) (b -> Int -> b
forall a b. a -> b -> a
const b
z) Seq a
xs (Seq a -> Int
forall a. Seq a -> Int
length Seq a
xs Int -> Int -> Int
forall a. Num a => a -> a -> a
- 1)

{-# INLINE foldrWithIndex #-}
-- | 'foldrWithIndex' is a version of 'foldr' that also provides access
-- to the index of each element.
foldrWithIndex :: (Int -> a -> b -> b) -> b -> Seq a -> b
foldrWithIndex :: (Int -> a -> b -> b) -> b -> Seq a -> b
foldrWithIndex f :: Int -> a -> b -> b
f z :: b
z xs :: Seq a
xs = (a -> (Int -> b) -> Int -> b) -> (Int -> b) -> Seq a -> Int -> b
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr (\ x :: a
x g :: Int -> b
g !Int
i -> Int -> a -> b -> b
f Int
i a
x (Int -> b
g (Int
iInt -> Int -> Int
forall a. Num a => a -> a -> a
+1))) (b -> Int -> b
forall a b. a -> b -> a
const b
z) Seq a
xs 0

{-# INLINE listToMaybe' #-}
-- 'listToMaybe\'' is a good consumer version of 'listToMaybe'.
listToMaybe' :: [a] -> Maybe a
listToMaybe' :: [a] -> Maybe a
listToMaybe' = (a -> Maybe a -> Maybe a) -> Maybe a -> [a] -> Maybe a
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr (\ x :: a
x _ -> a -> Maybe a
forall a. a -> Maybe a
Just a
x) Maybe a
forall a. Maybe a
Nothing

-- | \( O(i) \) where \( i \) is the prefix length. 'takeWhileL', applied
-- to a predicate @p@ and a sequence @xs@, returns the longest prefix
-- (possibly empty) of @xs@ of elements that satisfy @p@.
takeWhileL :: (a -> Bool) -> Seq a -> Seq a
takeWhileL :: (a -> Bool) -> Seq a -> Seq a
takeWhileL p :: a -> Bool
p = (Seq a, Seq a) -> Seq a
forall a b. (a, b) -> a
fst ((Seq a, Seq a) -> Seq a)
-> (Seq a -> (Seq a, Seq a)) -> Seq a -> Seq a
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (a -> Bool) -> Seq a -> (Seq a, Seq a)
forall a. (a -> Bool) -> Seq a -> (Seq a, Seq a)
spanl a -> Bool
p

-- | \( O(i) \) where \( i \) is the suffix length.  'takeWhileR', applied
-- to a predicate @p@ and a sequence @xs@, returns the longest suffix
-- (possibly empty) of @xs@ of elements that satisfy @p@.
--
-- @'takeWhileR' p xs@ is equivalent to @'reverse' ('takeWhileL' p ('reverse' xs))@.
takeWhileR :: (a -> Bool) -> Seq a -> Seq a
takeWhileR :: (a -> Bool) -> Seq a -> Seq a
takeWhileR p :: a -> Bool
p = (Seq a, Seq a) -> Seq a
forall a b. (a, b) -> a
fst ((Seq a, Seq a) -> Seq a)
-> (Seq a -> (Seq a, Seq a)) -> Seq a -> Seq a
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (a -> Bool) -> Seq a -> (Seq a, Seq a)
forall a. (a -> Bool) -> Seq a -> (Seq a, Seq a)
spanr a -> Bool
p

-- | \( O(i) \) where \( i \) is the prefix length.  @'dropWhileL' p xs@ returns
-- the suffix remaining after @'takeWhileL' p xs@.
dropWhileL :: (a -> Bool) -> Seq a -> Seq a
dropWhileL :: (a -> Bool) -> Seq a -> Seq a
dropWhileL p :: a -> Bool
p = (Seq a, Seq a) -> Seq a
forall a b. (a, b) -> b
snd ((Seq a, Seq a) -> Seq a)
-> (Seq a -> (Seq a, Seq a)) -> Seq a -> Seq a
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (a -> Bool) -> Seq a -> (Seq a, Seq a)
forall a. (a -> Bool) -> Seq a -> (Seq a, Seq a)
spanl a -> Bool
p

-- | \( O(i) \) where \( i \) is the suffix length.  @'dropWhileR' p xs@ returns
-- the prefix remaining after @'takeWhileR' p xs@.
--
-- @'dropWhileR' p xs@ is equivalent to @'reverse' ('dropWhileL' p ('reverse' xs))@.
dropWhileR :: (a -> Bool) -> Seq a -> Seq a
dropWhileR :: (a -> Bool) -> Seq a -> Seq a
dropWhileR p :: a -> Bool
p = (Seq a, Seq a) -> Seq a
forall a b. (a, b) -> b
snd ((Seq a, Seq a) -> Seq a)
-> (Seq a -> (Seq a, Seq a)) -> Seq a -> Seq a
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (a -> Bool) -> Seq a -> (Seq a, Seq a)
forall a. (a -> Bool) -> Seq a -> (Seq a, Seq a)
spanr a -> Bool
p

-- | \( O(i) \) where \( i \) is the prefix length.  'spanl', applied to
-- a predicate @p@ and a sequence @xs@, returns a pair whose first
-- element is the longest prefix (possibly empty) of @xs@ of elements that
-- satisfy @p@ and the second element is the remainder of the sequence.
spanl :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
spanl :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
spanl p :: a -> Bool
p = (a -> Bool) -> Seq a -> (Seq a, Seq a)
forall a. (a -> Bool) -> Seq a -> (Seq a, Seq a)
breakl (Bool -> Bool
not (Bool -> Bool) -> (a -> Bool) -> a -> Bool
forall b c a. (b -> c) -> (a -> b) -> a -> c
. a -> Bool
p)

-- | \( O(i) \) where \( i \) is the suffix length.  'spanr', applied to a
-- predicate @p@ and a sequence @xs@, returns a pair whose /first/ element
-- is the longest /suffix/ (possibly empty) of @xs@ of elements that
-- satisfy @p@ and the second element is the remainder of the sequence.
spanr :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
spanr :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
spanr p :: a -> Bool
p = (a -> Bool) -> Seq a -> (Seq a, Seq a)
forall a. (a -> Bool) -> Seq a -> (Seq a, Seq a)
breakr (Bool -> Bool
not (Bool -> Bool) -> (a -> Bool) -> a -> Bool
forall b c a. (b -> c) -> (a -> b) -> a -> c
. a -> Bool
p)

{-# INLINE breakl #-}
-- | \( O(i) \) where \( i \) is the breakpoint index.  'breakl', applied to a
-- predicate @p@ and a sequence @xs@, returns a pair whose first element
-- is the longest prefix (possibly empty) of @xs@ of elements that
-- /do not satisfy/ @p@ and the second element is the remainder of
-- the sequence.
--
-- @'breakl' p@ is equivalent to @'spanl' (not . p)@.
breakl :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
breakl :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
breakl p :: a -> Bool
p xs :: Seq a
xs = (Int -> (Seq a, Seq a) -> (Seq a, Seq a))
-> (Seq a, Seq a) -> [Int] -> (Seq a, Seq a)
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr (\ i :: Int
i _ -> Int -> Seq a -> (Seq a, Seq a)
forall a. Int -> Seq a -> (Seq a, Seq a)
splitAt Int
i Seq a
xs) (Seq a
xs, Seq a
forall a. Seq a
empty) ((a -> Bool) -> Seq a -> [Int]
forall a. (a -> Bool) -> Seq a -> [Int]
findIndicesL a -> Bool
p Seq a
xs)

{-# INLINE breakr #-}
-- | @'breakr' p@ is equivalent to @'spanr' (not . p)@.
breakr :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
breakr :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
breakr p :: a -> Bool
p xs :: Seq a
xs = (Int -> (Seq a, Seq a) -> (Seq a, Seq a))
-> (Seq a, Seq a) -> [Int] -> (Seq a, Seq a)
forall (t :: * -> *) a b.
Foldable t =>
(a -> b -> b) -> b -> t a -> b
foldr (\ i :: Int
i _ -> (Seq a, Seq a) -> (Seq a, Seq a)
forall b a. (b, a) -> (a, b)
flipPair (Int -> Seq a -> (Seq a, Seq a)
forall a. Int -> Seq a -> (Seq a, Seq a)
splitAt (Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
+ 1) Seq a
xs)) (Seq a
xs, Seq a
forall a. Seq a
empty) ((a -> Bool) -> Seq a -> [Int]
forall a. (a -> Bool) -> Seq a -> [Int]
findIndicesR a -> Bool
p Seq a
xs)
  where flipPair :: (b, a) -> (a, b)
flipPair (x :: b
x, y :: a
y) = (a
y, b
x)

-- | \( O(n) \).  The 'partition' function takes a predicate @p@ and a
-- sequence @xs@ and returns sequences of those elements which do and
-- do not satisfy the predicate.
partition :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
partition :: (a -> Bool) -> Seq a -> (Seq a, Seq a)
partition p :: a -> Bool
p = StrictPair (Seq a) (Seq a) -> (Seq a, Seq a)
forall a b. StrictPair a b -> (a, b)
toPair (StrictPair (Seq a) (Seq a) -> (Seq a, Seq a))
-> (Seq a -> StrictPair (Seq a) (Seq a)) -> Seq a -> (Seq a, Seq a)
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (StrictPair (Seq a) (Seq a) -> a -> StrictPair (Seq a) (Seq a))
-> StrictPair (Seq a) (Seq a)
-> Seq a
-> StrictPair (Seq a) (Seq a)
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl' StrictPair (Seq a) (Seq a) -> a -> StrictPair (Seq a) (Seq a)
part (Seq a
forall a. Seq a
empty Seq a -> Seq a -> StrictPair (Seq a) (Seq a)
forall a b. a -> b -> StrictPair a b
:*: Seq a
forall a. Seq a
empty)
  where
    part :: StrictPair (Seq a) (Seq a) -> a -> StrictPair (Seq a) (Seq a)
part (xs :: Seq a
xs :*: ys :: Seq a
ys) x :: a
x
      | a -> Bool
p a
x         = (Seq a
xs Seq a -> a -> Seq a
forall a. Seq a -> a -> Seq a
`snoc'` a
x) Seq a -> Seq a -> StrictPair (Seq a) (Seq a)
forall a b. a -> b -> StrictPair a b
:*: Seq a
ys
      | Bool
otherwise   = Seq a
xs Seq a -> Seq a -> StrictPair (Seq a) (Seq a)
forall a b. a -> b -> StrictPair a b
:*: (Seq a
ys Seq a -> a -> Seq a
forall a. Seq a -> a -> Seq a
`snoc'` a
x)

-- | \( O(n) \).  The 'filter' function takes a predicate @p@ and a sequence
-- @xs@ and returns a sequence of those elements which satisfy the
-- predicate.
filter :: (a -> Bool) -> Seq a -> Seq a
filter :: (a -> Bool) -> Seq a -> Seq a
filter p :: a -> Bool
p = (Seq a -> a -> Seq a) -> Seq a -> Seq a -> Seq a
forall (t :: * -> *) b a.
Foldable t =>
(b -> a -> b) -> b -> t a -> b
foldl' (\ xs :: Seq a
xs x :: a
x -> if a -> Bool
p a
x then Seq a
xs Seq a -> a -> Seq a
forall a. Seq a -> a -> Seq a
`snoc'` a
x else Seq a
xs) Seq a
forall a. Seq a
empty

-- Indexing sequences

-- | 'elemIndexL' finds the leftmost index of the specified element,
-- if it is present, and otherwise 'Nothing'.
elemIndexL :: Eq a => a -> Seq a -> Maybe Int
elemIndexL :: a -> Seq a -> Maybe Int
elemIndexL x :: a
x = (a -> Bool) -> Seq a -> Maybe Int
forall a. (a -> Bool) -> Seq a -> Maybe Int
findIndexL (a
x a -> a -> Bool
forall a. Eq a => a -> a -> Bool
==)

-- | 'elemIndexR' finds the rightmost index of the specified element,
-- if it is present, and otherwise 'Nothing'.
elemIndexR :: Eq a => a -> Seq a -> Maybe Int
elemIndexR :: a -> Seq a -> Maybe Int
elemIndexR x :: a
x = (a -> Bool) -> Seq a -> Maybe Int
forall a. (a -> Bool) -> Seq a -> Maybe Int
findIndexR (a
x a -> a -> Bool
forall a. Eq a => a -> a -> Bool
==)

-- | 'elemIndicesL' finds the indices of the specified element, from
-- left to right (i.e. in ascending order).
elemIndicesL :: Eq a => a -> Seq a -> [Int]
elemIndicesL :: a -> Seq a -> [Int]
elemIndicesL x :: a
x = (a -> Bool) -> Seq a -> [Int]
forall a. (a -> Bool) -> Seq a -> [Int]
findIndicesL (a
x a -> a -> Bool
forall a. Eq a => a -> a -> Bool
==)

-- | 'elemIndicesR' finds the indices of the specified element, from
-- right to left (i.e. in descending order).
elemIndicesR :: Eq a => a -> Seq a -> [Int]
elemIndicesR :: a -> Seq a -> [Int]
elemIndicesR x :: a
x = (a -> Bool) -> Seq a -> [Int]
forall a. (a -> Bool) -> Seq a -> [Int]
findIndicesR (a
x a -> a -> Bool
forall a. Eq a => a -> a -> Bool
==)

-- | @'findIndexL' p xs@ finds the index of the leftmost element that
-- satisfies @p@, if any exist.
findIndexL :: (a -> Bool) -> Seq a -> Maybe Int
findIndexL :: (a -> Bool) -> Seq a -> Maybe Int
findIndexL p :: a -> Bool
p = [Int] -> Maybe Int
forall a. [a] -> Maybe a
listToMaybe' ([Int] -> Maybe Int) -> (Seq a -> [Int]) -> Seq a -> Maybe Int
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (a -> Bool) -> Seq a -> [Int]
forall a. (a -> Bool) -> Seq a -> [Int]
findIndicesL a -> Bool
p

-- | @'findIndexR' p xs@ finds the index of the rightmost element that
-- satisfies @p@, if any exist.
findIndexR :: (a -> Bool) -> Seq a -> Maybe Int
findIndexR :: (a -> Bool) -> Seq a -> Maybe Int
findIndexR p :: a -> Bool
p = [Int] -> Maybe Int
forall a. [a] -> Maybe a
listToMaybe' ([Int] -> Maybe Int) -> (Seq a -> [Int]) -> Seq a -> Maybe Int
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (a -> Bool) -> Seq a -> [Int]
forall a. (a -> Bool) -> Seq a -> [Int]
findIndicesR a -> Bool
p

{-# INLINE findIndicesL #-}
-- | @'findIndicesL' p@ finds all indices of elements that satisfy @p@,
-- in ascending order.
findIndicesL :: (a -> Bool) -> Seq a -> [Int]
#if __GLASGOW_HASKELL__
findIndicesL :: (a -> Bool) -> Seq a -> [Int]
findIndicesL p :: a -> Bool
p xs :: Seq a
xs = (forall b. (Int -> b -> b) -> b -> b) -> [Int]
forall a. (forall b. (a -> b -> b) -> b -> b) -> [a]
build (\ c :: Int -> b -> b
c n :: b
n -> let g :: Int -> a -> b -> b
g i :: Int
i x :: a
x z :: b
z = if a -> Bool
p a
x then Int -> b -> b
c Int
i b
z else b
z in
                (Int -> a -> b -> b) -> b -> Seq a -> b
forall a b. (Int -> a -> b -> b) -> b -> Seq a -> b
foldrWithIndex Int -> a -> b -> b
g b
n Seq a
xs)
#else
findIndicesL p xs = foldrWithIndex g [] xs
  where g i x is = if p x then i:is else is
#endif

{-# INLINE findIndicesR #-}
-- | @'findIndicesR' p@ finds all indices of elements that satisfy @p@,
-- in descending order.
findIndicesR :: (a -> Bool) -> Seq a -> [Int]
#if __GLASGOW_HASKELL__
findIndicesR :: (a -> Bool) -> Seq a -> [Int]
findIndicesR p :: a -> Bool
p xs :: Seq a
xs = (forall b. (Int -> b -> b) -> b -> b) -> [Int]
forall a. (forall b. (a -> b -> b) -> b -> b) -> [a]
build (\ c :: Int -> b -> b
c n :: b
n ->
    let g :: b -> Int -> a -> b
g z :: b
z i :: Int
i x :: a
x = if a -> Bool
p a
x then Int -> b -> b
c Int
i b
z else b
z in (b -> Int -> a -> b) -> b -> Seq a -> b
forall b a. (b -> Int -> a -> b) -> b -> Seq a -> b
foldlWithIndex b -> Int -> a -> b
g b
n Seq a
xs)
#else
findIndicesR p xs = foldlWithIndex g [] xs
  where g is i x = if p x then i:is else is
#endif

------------------------------------------------------------------------
-- Lists
------------------------------------------------------------------------

-- The implementation below is based on an idea by Ross Paterson and
-- implemented by Lennart Spitzner. It avoids the rebuilding the original
-- (|>)-based implementation suffered from. It also avoids the excessive pair
-- allocations Paterson's implementation suffered from.
--
-- David Feuer suggested building in nine-element chunks, which reduces
-- intermediate conses from around (1/2)*n to around (1/8)*n with a concomitant
-- improvement in benchmark constant factors. In fact, it should be even
-- better to work in chunks of 27 `Elem`s and chunks of three `Node`s, rather
-- than nine of each, but it seems hard to avoid a code explosion with
-- such large chunks.
--
-- Paterson's code can be seen, for example, in
-- https://github.com/haskell/containers/blob/74034b3244fa4817c7bef1202e639b887a975d9e/Data/Sequence.hs#L3532
--
-- Given a list
--
-- [1..302]
--
-- the original code forms Three 1 2 3 | [node3 4 5 6, node3 7 8 9, node3 10 11
-- 12, ...] | Two 301 302
--
-- Then it recurses on the middle list. The middle lists become successively
-- shorter as their elements become successively deeper nodes.
--
-- The original implementation of the list shortener, getNodes, included the
-- recursive step

--     getNodes s x1 (x2:x3:x4:xs) = (Node3 s x1 x2 x3:ns, d)
--            where (ns, d) = getNodes s x4 xs

-- This allocates a cons and a lazy pair at each 3-element step. It relies on
-- the Haskell implementation using Wadler's technique, described in "Fixing
-- some space leaks with a garbage collector"
-- http://homepages.inf.ed.ac.uk/wadler/papers/leak/leak.ps.gz, to repeatedly
-- simplify the `d` thunk. Although GHC uses this GC trick, heap profiling at
-- least appears to indicate that the pair constructors and conses build up
-- with this implementation.
--
-- Spitzner's implementation uses a similar approach, but replaces the middle
-- list, in each level, with a customized stream type that finishes off with
-- the final digit in that level and (since it works in nines) in the one
-- above. To work around the nested tree structure, the overall computation is
-- structured using continuation-passing style, with a function that, at the
-- bottom of the tree, deals with a stream that terminates in a nested-pair
-- representation of the entire right side of the tree. Perhaps someone will
-- eventually find a less mind-bending way to accomplish this.

-- | \( O(n) \). Create a sequence from a finite list of elements.
-- There is a function 'toList' in the opposite direction for all
-- instances of the 'Foldable' class, including 'Seq'.
fromList        :: [a] -> Seq a
-- Note: we can avoid map_elem if we wish by scattering
-- Elem applications throughout mkTreeE and getNodesE, but
-- it gets a bit hard to read.
fromList :: [a] -> Seq a
fromList = FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem a) -> Seq a)
-> ([a] -> FingerTree (Elem a)) -> [a] -> Seq a
forall b c a. (b -> c) -> (a -> b) -> a -> c
. [Elem a] -> FingerTree (Elem a)
forall a'. [Elem a'] -> FingerTree (Elem a')
mkTree ([Elem a] -> FingerTree (Elem a))
-> ([a] -> [Elem a]) -> [a] -> FingerTree (Elem a)
forall b c a. (b -> c) -> (a -> b) -> a -> c
. [a] -> [Elem a]
forall a. [a] -> [Elem a]
map_elem
  where
#ifdef __GLASGOW_HASKELL__
    mkTree :: forall a' . [Elem a'] -> FingerTree (Elem a')
#else
    mkTree :: [Elem a] -> FingerTree (Elem a)
#endif
    mkTree :: [Elem a'] -> FingerTree (Elem a')
mkTree [] = FingerTree (Elem a')
forall a. FingerTree a
EmptyT
    mkTree [x1 :: Elem a'
x1] = Elem a' -> FingerTree (Elem a')
forall a. a -> FingerTree a
Single Elem a'
x1
    mkTree [x1 :: Elem a'
x1, x2 :: Elem a'
x2] = Int
-> Digit (Elem a')
-> FingerTree (Node (Elem a'))
-> Digit (Elem a')
-> FingerTree (Elem a')
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 2 (Elem a' -> Digit (Elem a')
forall a. a -> Digit a
One Elem a'
x1) FingerTree (Node (Elem a'))
forall a. FingerTree a
EmptyT (Elem a' -> Digit (Elem a')
forall a. a -> Digit a
One Elem a'
x2)
    mkTree [x1 :: Elem a'
x1, x2 :: Elem a'
x2, x3 :: Elem a'
x3] = Int
-> Digit (Elem a')
-> FingerTree (Node (Elem a'))
-> Digit (Elem a')
-> FingerTree (Elem a')
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 3 (Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> Digit a
Two Elem a'
x1 Elem a'
x2) FingerTree (Node (Elem a'))
forall a. FingerTree a
EmptyT (Elem a' -> Digit (Elem a')
forall a. a -> Digit a
One Elem a'
x3)
    mkTree [x1 :: Elem a'
x1, x2 :: Elem a'
x2, x3 :: Elem a'
x3, x4 :: Elem a'
x4] = Int
-> Digit (Elem a')
-> FingerTree (Node (Elem a'))
-> Digit (Elem a')
-> FingerTree (Elem a')
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 4 (Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> Digit a
Two Elem a'
x1 Elem a'
x2) FingerTree (Node (Elem a'))
forall a. FingerTree a
EmptyT (Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> Digit a
Two Elem a'
x3 Elem a'
x4)
    mkTree [x1 :: Elem a'
x1, x2 :: Elem a'
x2, x3 :: Elem a'
x3, x4 :: Elem a'
x4, x5 :: Elem a'
x5] = Int
-> Digit (Elem a')
-> FingerTree (Node (Elem a'))
-> Digit (Elem a')
-> FingerTree (Elem a')
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 5 (Elem a' -> Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> a -> Digit a
Three Elem a'
x1 Elem a'
x2 Elem a'
x3) FingerTree (Node (Elem a'))
forall a. FingerTree a
EmptyT (Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> Digit a
Two Elem a'
x4 Elem a'
x5)
    mkTree [x1 :: Elem a'
x1, x2 :: Elem a'
x2, x3 :: Elem a'
x3, x4 :: Elem a'
x4, x5 :: Elem a'
x5, x6 :: Elem a'
x6] =
      Int
-> Digit (Elem a')
-> FingerTree (Node (Elem a'))
-> Digit (Elem a')
-> FingerTree (Elem a')
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 6 (Elem a' -> Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> a -> Digit a
Three Elem a'
x1 Elem a'
x2 Elem a'
x3) FingerTree (Node (Elem a'))
forall a. FingerTree a
EmptyT (Elem a' -> Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> a -> Digit a
Three Elem a'
x4 Elem a'
x5 Elem a'
x6)
    mkTree [x1 :: Elem a'
x1, x2 :: Elem a'
x2, x3 :: Elem a'
x3, x4 :: Elem a'
x4, x5 :: Elem a'
x5, x6 :: Elem a'
x6, x7 :: Elem a'
x7] =
      Int
-> Digit (Elem a')
-> FingerTree (Node (Elem a'))
-> Digit (Elem a')
-> FingerTree (Elem a')
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 7 (Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> Digit a
Two Elem a'
x1 Elem a'
x2) (Node (Elem a') -> FingerTree (Node (Elem a'))
forall a. a -> FingerTree a
Single (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x3 Elem a'
x4 Elem a'
x5)) (Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> Digit a
Two Elem a'
x6 Elem a'
x7)
    mkTree [x1 :: Elem a'
x1, x2 :: Elem a'
x2, x3 :: Elem a'
x3, x4 :: Elem a'
x4, x5 :: Elem a'
x5, x6 :: Elem a'
x6, x7 :: Elem a'
x7, x8 :: Elem a'
x8] =
      Int
-> Digit (Elem a')
-> FingerTree (Node (Elem a'))
-> Digit (Elem a')
-> FingerTree (Elem a')
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 8 (Elem a' -> Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> a -> Digit a
Three Elem a'
x1 Elem a'
x2 Elem a'
x3) (Node (Elem a') -> FingerTree (Node (Elem a'))
forall a. a -> FingerTree a
Single (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x4 Elem a'
x5 Elem a'
x6)) (Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> Digit a
Two Elem a'
x7 Elem a'
x8)
    mkTree [x1 :: Elem a'
x1, x2 :: Elem a'
x2, x3 :: Elem a'
x3, x4 :: Elem a'
x4, x5 :: Elem a'
x5, x6 :: Elem a'
x6, x7 :: Elem a'
x7, x8 :: Elem a'
x8, x9 :: Elem a'
x9] =
      Int
-> Digit (Elem a')
-> FingerTree (Node (Elem a'))
-> Digit (Elem a')
-> FingerTree (Elem a')
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 9 (Elem a' -> Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> a -> Digit a
Three Elem a'
x1 Elem a'
x2 Elem a'
x3) (Node (Elem a') -> FingerTree (Node (Elem a'))
forall a. a -> FingerTree a
Single (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x4 Elem a'
x5 Elem a'
x6)) (Elem a' -> Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> a -> Digit a
Three Elem a'
x7 Elem a'
x8 Elem a'
x9)
    mkTree [x1 :: Elem a'
x1, x2 :: Elem a'
x2, x3 :: Elem a'
x3, x4 :: Elem a'
x4, x5 :: Elem a'
x5, x6 :: Elem a'
x6, x7 :: Elem a'
x7, x8 :: Elem a'
x8, y0 :: Elem a'
y0, y1 :: Elem a'
y1] =
      Int
-> Digit (Elem a')
-> FingerTree (Node (Elem a'))
-> Digit (Elem a')
-> FingerTree (Elem a')
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 10 (Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> Digit a
Two Elem a'
x1 Elem a'
x2)
              (Int
-> Digit (Node (Elem a'))
-> FingerTree (Node (Node (Elem a')))
-> Digit (Node (Elem a'))
-> FingerTree (Node (Elem a'))
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 6 (Node (Elem a') -> Digit (Node (Elem a'))
forall a. a -> Digit a
One (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x3 Elem a'
x4 Elem a'
x5)) FingerTree (Node (Node (Elem a')))
forall a. FingerTree a
EmptyT (Node (Elem a') -> Digit (Node (Elem a'))
forall a. a -> Digit a
One (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x6 Elem a'
x7 Elem a'
x8)))
              (Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> Digit a
Two Elem a'
y0 Elem a'
y1)
    mkTree [x1 :: Elem a'
x1, x2 :: Elem a'
x2, x3 :: Elem a'
x3, x4 :: Elem a'
x4, x5 :: Elem a'
x5, x6 :: Elem a'
x6, x7 :: Elem a'
x7, x8 :: Elem a'
x8, x9 :: Elem a'
x9, y0 :: Elem a'
y0, y1 :: Elem a'
y1] =
      Int
-> Digit (Elem a')
-> FingerTree (Node (Elem a'))
-> Digit (Elem a')
-> FingerTree (Elem a')
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 11 (Elem a' -> Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> a -> Digit a
Three Elem a'
x1 Elem a'
x2 Elem a'
x3)
              (Int
-> Digit (Node (Elem a'))
-> FingerTree (Node (Node (Elem a')))
-> Digit (Node (Elem a'))
-> FingerTree (Node (Elem a'))
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 6 (Node (Elem a') -> Digit (Node (Elem a'))
forall a. a -> Digit a
One (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x4 Elem a'
x5 Elem a'
x6)) FingerTree (Node (Node (Elem a')))
forall a. FingerTree a
EmptyT (Node (Elem a') -> Digit (Node (Elem a'))
forall a. a -> Digit a
One (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x7 Elem a'
x8 Elem a'
x9)))
              (Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> Digit a
Two Elem a'
y0 Elem a'
y1)
    mkTree [x1 :: Elem a'
x1, x2 :: Elem a'
x2, x3 :: Elem a'
x3, x4 :: Elem a'
x4, x5 :: Elem a'
x5, x6 :: Elem a'
x6, x7 :: Elem a'
x7, x8 :: Elem a'
x8, x9 :: Elem a'
x9, y0 :: Elem a'
y0, y1 :: Elem a'
y1, y2 :: Elem a'
y2] =
      Int
-> Digit (Elem a')
-> FingerTree (Node (Elem a'))
-> Digit (Elem a')
-> FingerTree (Elem a')
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 12 (Elem a' -> Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> a -> Digit a
Three Elem a'
x1 Elem a'
x2 Elem a'
x3)
              (Int
-> Digit (Node (Elem a'))
-> FingerTree (Node (Node (Elem a')))
-> Digit (Node (Elem a'))
-> FingerTree (Node (Elem a'))
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 6 (Node (Elem a') -> Digit (Node (Elem a'))
forall a. a -> Digit a
One (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x4 Elem a'
x5 Elem a'
x6)) FingerTree (Node (Node (Elem a')))
forall a. FingerTree a
EmptyT (Node (Elem a') -> Digit (Node (Elem a'))
forall a. a -> Digit a
One (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x7 Elem a'
x8 Elem a'
x9)))
              (Elem a' -> Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> a -> Digit a
Three Elem a'
y0 Elem a'
y1 Elem a'
y2)
    mkTree [x1 :: Elem a'
x1, x2 :: Elem a'
x2, x3 :: Elem a'
x3, x4 :: Elem a'
x4, x5 :: Elem a'
x5, x6 :: Elem a'
x6, x7 :: Elem a'
x7, x8 :: Elem a'
x8, y0 :: Elem a'
y0, y1 :: Elem a'
y1, y2 :: Elem a'
y2, y3 :: Elem a'
y3, y4 :: Elem a'
y4] =
      Int
-> Digit (Elem a')
-> FingerTree (Node (Elem a'))
-> Digit (Elem a')
-> FingerTree (Elem a')
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 13 (Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> Digit a
Two Elem a'
x1 Elem a'
x2)
              (Int
-> Digit (Node (Elem a'))
-> FingerTree (Node (Node (Elem a')))
-> Digit (Node (Elem a'))
-> FingerTree (Node (Elem a'))
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 9 (Node (Elem a') -> Node (Elem a') -> Digit (Node (Elem a'))
forall a. a -> a -> Digit a
Two (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x3 Elem a'
x4 Elem a'
x5) (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x6 Elem a'
x7 Elem a'
x8)) FingerTree (Node (Node (Elem a')))
forall a. FingerTree a
EmptyT (Node (Elem a') -> Digit (Node (Elem a'))
forall a. a -> Digit a
One (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
y0 Elem a'
y1 Elem a'
y2)))
              (Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> Digit a
Two Elem a'
y3 Elem a'
y4)
    mkTree [x1 :: Elem a'
x1, x2 :: Elem a'
x2, x3 :: Elem a'
x3, x4 :: Elem a'
x4, x5 :: Elem a'
x5, x6 :: Elem a'
x6, x7 :: Elem a'
x7, x8 :: Elem a'
x8, x9 :: Elem a'
x9, y0 :: Elem a'
y0, y1 :: Elem a'
y1, y2 :: Elem a'
y2, y3 :: Elem a'
y3, y4 :: Elem a'
y4] =
      Int
-> Digit (Elem a')
-> FingerTree (Node (Elem a'))
-> Digit (Elem a')
-> FingerTree (Elem a')
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 14 (Elem a' -> Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> a -> Digit a
Three Elem a'
x1 Elem a'
x2 Elem a'
x3)
              (Int
-> Digit (Node (Elem a'))
-> FingerTree (Node (Node (Elem a')))
-> Digit (Node (Elem a'))
-> FingerTree (Node (Elem a'))
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 9 (Node (Elem a') -> Node (Elem a') -> Digit (Node (Elem a'))
forall a. a -> a -> Digit a
Two (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x4 Elem a'
x5 Elem a'
x6) (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x7 Elem a'
x8 Elem a'
x9)) FingerTree (Node (Node (Elem a')))
forall a. FingerTree a
EmptyT (Node (Elem a') -> Digit (Node (Elem a'))
forall a. a -> Digit a
One (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
y0 Elem a'
y1 Elem a'
y2)))
              (Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> Digit a
Two Elem a'
y3 Elem a'
y4)
    mkTree [x1 :: Elem a'
x1, x2 :: Elem a'
x2, x3 :: Elem a'
x3, x4 :: Elem a'
x4, x5 :: Elem a'
x5, x6 :: Elem a'
x6, x7 :: Elem a'
x7, x8 :: Elem a'
x8, x9 :: Elem a'
x9, y0 :: Elem a'
y0, y1 :: Elem a'
y1, y2 :: Elem a'
y2, y3 :: Elem a'
y3, y4 :: Elem a'
y4, y5 :: Elem a'
y5] =
      Int
-> Digit (Elem a')
-> FingerTree (Node (Elem a'))
-> Digit (Elem a')
-> FingerTree (Elem a')
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 15 (Elem a' -> Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> a -> Digit a
Three Elem a'
x1 Elem a'
x2 Elem a'
x3)
              (Int
-> Digit (Node (Elem a'))
-> FingerTree (Node (Node (Elem a')))
-> Digit (Node (Elem a'))
-> FingerTree (Node (Elem a'))
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep 9 (Node (Elem a') -> Node (Elem a') -> Digit (Node (Elem a'))
forall a. a -> a -> Digit a
Two (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x4 Elem a'
x5 Elem a'
x6) (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x7 Elem a'
x8 Elem a'
x9)) FingerTree (Node (Node (Elem a')))
forall a. FingerTree a
EmptyT (Node (Elem a') -> Digit (Node (Elem a'))
forall a. a -> Digit a
One (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
y0 Elem a'
y1 Elem a'
y2)))
              (Elem a' -> Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> a -> Digit a
Three Elem a'
y3 Elem a'
y4 Elem a'
y5)
    mkTree (x1 :: Elem a'
x1:x2 :: Elem a'
x2:x3 :: Elem a'
x3:x4 :: Elem a'
x4:x5 :: Elem a'
x5:x6 :: Elem a'
x6:x7 :: Elem a'
x7:x8 :: Elem a'
x8:x9 :: Elem a'
x9:y0 :: Elem a'
y0:y1 :: Elem a'
y1:y2 :: Elem a'
y2:y3 :: Elem a'
y3:y4 :: Elem a'
y4:y5 :: Elem a'
y5:y6 :: Elem a'
y6:xs :: [Elem a']
xs) =
        ((Digit (Node (Elem a')), Digit (Elem a'))
 -> FingerTree (Node (Node (Elem a'))) -> FingerTree (Elem a'))
-> Int
-> ListFinal
     (Node (Node (Elem a'))) (Digit (Node (Elem a')), Digit (Elem a'))
-> FingerTree (Elem a')
forall a b c.
(b -> FingerTree (Node a) -> c) -> Int -> ListFinal (Node a) b -> c
mkTreeC (Digit (Node (Elem a')), Digit (Elem a'))
-> FingerTree (Node (Node (Elem a'))) -> FingerTree (Elem a')
cont 9 (Int
-> Node (Elem a')
-> Elem a'
-> [Elem a']
-> ListFinal
     (Node (Node (Elem a'))) (Digit (Node (Elem a')), Digit (Elem a'))
forall a.
Int
-> Node a
-> a
-> [a]
-> ListFinal (Node (Node a)) (Digit (Node a), Digit a)
getNodes 3 (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
y3 Elem a'
y4 Elem a'
y5) Elem a'
y6 [Elem a']
xs)
      where
        d2 :: Digit (Elem a')
d2 = Elem a' -> Elem a' -> Elem a' -> Digit (Elem a')
forall a. a -> a -> a -> Digit a
Three Elem a'
x1 Elem a'
x2 Elem a'
x3
        d1 :: Digit (Node (Elem a'))
d1 = Node (Elem a')
-> Node (Elem a') -> Node (Elem a') -> Digit (Node (Elem a'))
forall a. a -> a -> a -> Digit a
Three (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x4 Elem a'
x5 Elem a'
x6) (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
x7 Elem a'
x8 Elem a'
x9) (Int -> Elem a' -> Elem a' -> Elem a' -> Node (Elem a')
forall a. Int -> a -> a -> a -> Node a
Node3 3 Elem a'
y0 Elem a'
y1 Elem a'
y2)
#ifdef __GLASGOW_HASKELL__
        cont :: (Digit (Node (Elem a')), Digit (Elem a')) -> FingerTree (Node (Node (Elem a'))) -> FingerTree (Elem a')
#endif
        cont :: (Digit (Node (Elem a')), Digit (Elem a'))
-> FingerTree (Node (Node (Elem a'))) -> FingerTree (Elem a')
cont (!Digit (Node (Elem a'))
r1, !Digit (Elem a')
r2) !FingerTree (Node (Node (Elem a')))
sub =
          let !sub1 :: FingerTree (Node (Elem a'))
sub1 = Int
-> Digit (Node (Elem a'))
-> FingerTree (Node (Node (Elem a')))
-> Digit (Node (Elem a'))
-> FingerTree (Node (Elem a'))
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (9 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Digit (Node (Elem a')) -> Int
forall a. Sized a => a -> Int
size Digit (Node (Elem a'))
r1 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Node (Elem a'))) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node (Elem a')))
sub) Digit (Node (Elem a'))
d1 FingerTree (Node (Node (Elem a')))
sub Digit (Node (Elem a'))
r1
          in Int
-> Digit (Elem a')
-> FingerTree (Node (Elem a'))
-> Digit (Elem a')
-> FingerTree (Elem a')
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (3 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Digit (Elem a') -> Int
forall a. Sized a => a -> Int
size Digit (Elem a')
r2 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Elem a')) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Elem a'))
sub1) Digit (Elem a')
d2 FingerTree (Node (Elem a'))
sub1 Digit (Elem a')
r2

    getNodes :: forall a . Int
             -> Node a
             -> a
             -> [a]
             -> ListFinal (Node (Node a)) (Digit (Node a), Digit a)
    getNodes :: Int
-> Node a
-> a
-> [a]
-> ListFinal (Node (Node a)) (Digit (Node a), Digit a)
getNodes !Int
_ n1 :: Node a
n1 x1 :: a
x1 [] = (Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
n1, a -> Digit a
forall a. a -> Digit a
One a
x1)
    getNodes _ n1 :: Node a
n1 x1 :: a
x1 [x2 :: a
x2] = (Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
n1, a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
x1 a
x2)
    getNodes _ n1 :: Node a
n1 x1 :: a
x1 [x2 :: a
x2, x3 :: a
x3] = (Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
n1, a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
x1 a
x2 a
x3)
    getNodes s :: Int
s n1 :: Node a
n1 x1 :: a
x1 [x2 :: a
x2, x3 :: a
x3, x4 :: a
x4] = (Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
n1 (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x1 a
x2 a
x3), a -> Digit a
forall a. a -> Digit a
One a
x4)
    getNodes s :: Int
s n1 :: Node a
n1 x1 :: a
x1 [x2 :: a
x2, x3 :: a
x3, x4 :: a
x4, x5 :: a
x5] = (Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
n1 (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x1 a
x2 a
x3), a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
x4 a
x5)
    getNodes s :: Int
s n1 :: Node a
n1 x1 :: a
x1 [x2 :: a
x2, x3 :: a
x3, x4 :: a
x4, x5 :: a
x5, x6 :: a
x6] = (Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
n1 (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x1 a
x2 a
x3), a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
x4 a
x5 a
x6)
    getNodes s :: Int
s n1 :: Node a
n1 x1 :: a
x1 [x2 :: a
x2, x3 :: a
x3, x4 :: a
x4, x5 :: a
x5, x6 :: a
x6, x7 :: a
x7] = (Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
n1 (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x1 a
x2 a
x3) (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x4 a
x5 a
x6), a -> Digit a
forall a. a -> Digit a
One a
x7)
    getNodes s :: Int
s n1 :: Node a
n1 x1 :: a
x1 [x2 :: a
x2, x3 :: a
x3, x4 :: a
x4, x5 :: a
x5, x6 :: a
x6, x7 :: a
x7, x8 :: a
x8] = (Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
n1 (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x1 a
x2 a
x3) (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x4 a
x5 a
x6), a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
x7 a
x8)
    getNodes s :: Int
s n1 :: Node a
n1 x1 :: a
x1 [x2 :: a
x2, x3 :: a
x3, x4 :: a
x4, x5 :: a
x5, x6 :: a
x6, x7 :: a
x7, x8 :: a
x8, x9 :: a
x9] = (Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
n1 (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x1 a
x2 a
x3) (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x4 a
x5 a
x6), a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
x7 a
x8 a
x9)
    getNodes s :: Int
s n1 :: Node a
n1 x1 :: a
x1 (x2 :: a
x2:x3 :: a
x3:x4 :: a
x4:x5 :: a
x5:x6 :: a
x6:x7 :: a
x7:x8 :: a
x8:x9 :: a
x9:x10 :: a
x10:xs :: [a]
xs) = Node (Node a)
-> ListFinal (Node (Node a)) (Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (Digit (Node a), Digit a)
forall a cont. a -> ListFinal a cont -> ListFinal a cont
LCons Node (Node a)
n10 (Int
-> Node a
-> a
-> [a]
-> ListFinal (Node (Node a)) (Digit (Node a), Digit a)
forall a.
Int
-> Node a
-> a
-> [a]
-> ListFinal (Node (Node a)) (Digit (Node a), Digit a)
getNodes Int
s (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x7 a
x8 a
x9) a
x10 [a]
xs)
      where !n2 :: Node a
n2 = Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x1 a
x2 a
x3
            !n3 :: Node a
n3 = Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x4 a
x5 a
x6
            !n10 :: Node (Node a)
n10 = Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
n1 Node a
n2 Node a
n3

    mkTreeC ::
#ifdef __GLASGOW_HASKELL__
               forall a b c .
#endif
               (b -> FingerTree (Node a) -> c)
            -> Int
            -> ListFinal (Node a) b
            -> c
    mkTreeC :: (b -> FingerTree (Node a) -> c) -> Int -> ListFinal (Node a) b -> c
mkTreeC cont :: b -> FingerTree (Node a) -> c
cont !Int
_ (LFinal b :: b
b) =
      b -> FingerTree (Node a) -> c
cont b
b FingerTree (Node a)
forall a. FingerTree a
EmptyT
    mkTreeC cont :: b -> FingerTree (Node a) -> c
cont _ (LCons x1 :: Node a
x1 (LFinal b :: b
b)) =
      b -> FingerTree (Node a) -> c
cont b
b (Node a -> FingerTree (Node a)
forall a. a -> FingerTree a
Single Node a
x1)
    mkTreeC cont :: b -> FingerTree (Node a) -> c
cont s :: Int
s (LCons x1 :: Node a
x1 (LCons x2 :: Node a
x2 (LFinal b :: b
b))) =
      b -> FingerTree (Node a) -> c
cont b
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (2Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
x1) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
x2))
    mkTreeC cont :: b -> FingerTree (Node a) -> c
cont s :: Int
s (LCons x1 :: Node a
x1 (LCons x2 :: Node a
x2 (LCons x3 :: Node a
x3 (LFinal b :: b
b)))) =
      b -> FingerTree (Node a) -> c
cont b
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
x1 Node a
x2) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
x3))
    mkTreeC cont :: b -> FingerTree (Node a) -> c
cont s :: Int
s (LCons x1 :: Node a
x1 (LCons x2 :: Node a
x2 (LCons x3 :: Node a
x3 (LCons x4 :: Node a
x4 (LFinal b :: b
b))))) =
      b -> FingerTree (Node a) -> c
cont b
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (4Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
x1 Node a
x2) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
x3 Node a
x4))
    mkTreeC cont :: b -> FingerTree (Node a) -> c
cont s :: Int
s (LCons x1 :: Node a
x1 (LCons x2 :: Node a
x2 (LCons x3 :: Node a
x3 (LCons x4 :: Node a
x4 (LCons x5 :: Node a
x5 (LFinal b :: b
b)))))) =
      b -> FingerTree (Node a) -> c
cont b
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (5Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
x1 Node a
x2 Node a
x3) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
x4 Node a
x5))
    mkTreeC cont :: b -> FingerTree (Node a) -> c
cont s :: Int
s (LCons x1 :: Node a
x1 (LCons x2 :: Node a
x2 (LCons x3 :: Node a
x3 (LCons x4 :: Node a
x4 (LCons x5 :: Node a
x5 (LCons x6 :: Node a
x6 (LFinal b :: b
b))))))) =
      b -> FingerTree (Node a) -> c
cont b
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (6Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
x1 Node a
x2 Node a
x3) FingerTree (Node (Node a))
forall a. FingerTree a
EmptyT (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
x4 Node a
x5 Node a
x6))
    mkTreeC cont :: b -> FingerTree (Node a) -> c
cont s :: Int
s (LCons x1 :: Node a
x1 (LCons x2 :: Node a
x2 (LCons x3 :: Node a
x3 (LCons x4 :: Node a
x4 (LCons x5 :: Node a
x5 (LCons x6 :: Node a
x6 (LCons x7 :: Node a
x7 (LFinal b :: b
b)))))))) =
      b -> FingerTree (Node a) -> c
cont b
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (7Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
x1 Node a
x2) (Node (Node a) -> FingerTree (Node (Node a))
forall a. a -> FingerTree a
Single (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x3 Node a
x4 Node a
x5)) (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
x6 Node a
x7))
    mkTreeC cont :: b -> FingerTree (Node a) -> c
cont s :: Int
s (LCons x1 :: Node a
x1 (LCons x2 :: Node a
x2 (LCons x3 :: Node a
x3 (LCons x4 :: Node a
x4 (LCons x5 :: Node a
x5 (LCons x6 :: Node a
x6 (LCons x7 :: Node a
x7 (LCons x8 :: Node a
x8 (LFinal b :: b
b))))))))) =
      b -> FingerTree (Node a) -> c
cont b
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (8Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
x1 Node a
x2 Node a
x3) (Node (Node a) -> FingerTree (Node (Node a))
forall a. a -> FingerTree a
Single (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x4 Node a
x5 Node a
x6)) (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
x7 Node a
x8))
    mkTreeC cont :: b -> FingerTree (Node a) -> c
cont s :: Int
s (LCons x1 :: Node a
x1 (LCons x2 :: Node a
x2 (LCons x3 :: Node a
x3 (LCons x4 :: Node a
x4 (LCons x5 :: Node a
x5 (LCons x6 :: Node a
x6 (LCons x7 :: Node a
x7 (LCons x8 :: Node a
x8 (LCons x9 :: Node a
x9 (LFinal b :: b
b)))))))))) =
      b -> FingerTree (Node a) -> c
cont b
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (9Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
x1 Node a
x2 Node a
x3) (Node (Node a) -> FingerTree (Node (Node a))
forall a. a -> FingerTree a
Single (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x4 Node a
x5 Node a
x6)) (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
x7 Node a
x8 Node a
x9))
    mkTreeC cont :: b -> FingerTree (Node a) -> c
cont s :: Int
s (LCons x1 :: Node a
x1 (LCons x2 :: Node a
x2 (LCons x3 :: Node a
x3 (LCons x4 :: Node a
x4 (LCons x5 :: Node a
x5 (LCons x6 :: Node a
x6 (LCons x7 :: Node a
x7 (LCons x8 :: Node a
x8 (LCons y0 :: Node a
y0 (LCons y1 :: Node a
y1 (LFinal b :: b
b))))))))))) =
      b -> FingerTree (Node a) -> c
cont b
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (10Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
x1 Node a
x2) (Int
-> Digit (Node (Node a))
-> FingerTree (Node (Node (Node a)))
-> Digit (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (6Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node (Node a) -> Digit (Node (Node a))
forall a. a -> Digit a
One (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x3 Node a
x4 Node a
x5)) FingerTree (Node (Node (Node a)))
forall a. FingerTree a
EmptyT (Node (Node a) -> Digit (Node (Node a))
forall a. a -> Digit a
One (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x6 Node a
x7 Node a
x8))) (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
y0 Node a
y1))
    mkTreeC cont :: b -> FingerTree (Node a) -> c
cont s :: Int
s (LCons x1 :: Node a
x1 (LCons x2 :: Node a
x2 (LCons x3 :: Node a
x3 (LCons x4 :: Node a
x4 (LCons x5 :: Node a
x5 (LCons x6 :: Node a
x6 (LCons x7 :: Node a
x7 (LCons x8 :: Node a
x8 (LCons x9 :: Node a
x9 (LCons y0 :: Node a
y0 (LCons y1 :: Node a
y1 (LFinal b :: b
b)))))))))))) =
      b -> FingerTree (Node a) -> c
cont b
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (11Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
x1 Node a
x2 Node a
x3) (Int
-> Digit (Node (Node a))
-> FingerTree (Node (Node (Node a)))
-> Digit (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (6Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node (Node a) -> Digit (Node (Node a))
forall a. a -> Digit a
One (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x4 Node a
x5 Node a
x6)) FingerTree (Node (Node (Node a)))
forall a. FingerTree a
EmptyT (Node (Node a) -> Digit (Node (Node a))
forall a. a -> Digit a
One (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x7 Node a
x8 Node a
x9))) (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
y0 Node a
y1))
    mkTreeC cont :: b -> FingerTree (Node a) -> c
cont s :: Int
s (LCons x1 :: Node a
x1 (LCons x2 :: Node a
x2 (LCons x3 :: Node a
x3 (LCons x4 :: Node a
x4 (LCons x5 :: Node a
x5 (LCons x6 :: Node a
x6 (LCons x7 :: Node a
x7 (LCons x8 :: Node a
x8 (LCons x9 :: Node a
x9 (LCons y0 :: Node a
y0 (LCons y1 :: Node a
y1 (LCons y2 :: Node a
y2 (LFinal b :: b
b))))))))))))) =
      b -> FingerTree (Node a) -> c
cont b
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (12Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
x1 Node a
x2 Node a
x3) (Int
-> Digit (Node (Node a))
-> FingerTree (Node (Node (Node a)))
-> Digit (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (6Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node (Node a) -> Digit (Node (Node a))
forall a. a -> Digit a
One (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x4 Node a
x5 Node a
x6)) FingerTree (Node (Node (Node a)))
forall a. FingerTree a
EmptyT (Node (Node a) -> Digit (Node (Node a))
forall a. a -> Digit a
One (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x7 Node a
x8 Node a
x9))) (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
y0 Node a
y1 Node a
y2))
    mkTreeC cont :: b -> FingerTree (Node a) -> c
cont s :: Int
s (LCons x1 :: Node a
x1 (LCons x2 :: Node a
x2 (LCons x3 :: Node a
x3 (LCons x4 :: Node a
x4 (LCons x5 :: Node a
x5 (LCons x6 :: Node a
x6 (LCons x7 :: Node a
x7 (LCons x8 :: Node a
x8 (LCons y0 :: Node a
y0 (LCons y1 :: Node a
y1 (LCons y2 :: Node a
y2 (LCons y3 :: Node a
y3 (LCons y4 :: Node a
y4 (LFinal b :: b
b)))))))))))))) =
      b -> FingerTree (Node a) -> c
cont b
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (13Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
x1 Node a
x2) (Int
-> Digit (Node (Node a))
-> FingerTree (Node (Node (Node a)))
-> Digit (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (9Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node (Node a) -> Node (Node a) -> Digit (Node (Node a))
forall a. a -> a -> Digit a
Two (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x3 Node a
x4 Node a
x5) (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x6 Node a
x7 Node a
x8)) FingerTree (Node (Node (Node a)))
forall a. FingerTree a
EmptyT (Node (Node a) -> Digit (Node (Node a))
forall a. a -> Digit a
One (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
y0 Node a
y1 Node a
y2))) (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
y3 Node a
y4))
    mkTreeC cont :: b -> FingerTree (Node a) -> c
cont s :: Int
s (LCons x1 :: Node a
x1 (LCons x2 :: Node a
x2 (LCons x3 :: Node a
x3 (LCons x4 :: Node a
x4 (LCons x5 :: Node a
x5 (LCons x6 :: Node a
x6 (LCons x7 :: Node a
x7 (LCons x8 :: Node a
x8 (LCons x9 :: Node a
x9 (LCons y0 :: Node a
y0 (LCons y1 :: Node a
y1 (LCons y2 :: Node a
y2 (LCons y3 :: Node a
y3 (LCons y4 :: Node a
y4 (LFinal b :: b
b))))))))))))))) =
      b -> FingerTree (Node a) -> c
cont b
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (14Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
x1 Node a
x2 Node a
x3) (Int
-> Digit (Node (Node a))
-> FingerTree (Node (Node (Node a)))
-> Digit (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (9Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node (Node a) -> Node (Node a) -> Digit (Node (Node a))
forall a. a -> a -> Digit a
Two (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x4 Node a
x5 Node a
x6) (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x7 Node a
x8 Node a
x9)) FingerTree (Node (Node (Node a)))
forall a. FingerTree a
EmptyT (Node (Node a) -> Digit (Node (Node a))
forall a. a -> Digit a
One (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
y0 Node a
y1 Node a
y2))) (Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
y3 Node a
y4))
    mkTreeC cont :: b -> FingerTree (Node a) -> c
cont s :: Int
s (LCons x1 :: Node a
x1 (LCons x2 :: Node a
x2 (LCons x3 :: Node a
x3 (LCons x4 :: Node a
x4 (LCons x5 :: Node a
x5 (LCons x6 :: Node a
x6 (LCons x7 :: Node a
x7 (LCons x8 :: Node a
x8 (LCons x9 :: Node a
x9 (LCons y0 :: Node a
y0 (LCons y1 :: Node a
y1 (LCons y2 :: Node a
y2 (LCons y3 :: Node a
y3 (LCons y4 :: Node a
y4 (LCons y5 :: Node a
y5 (LFinal b :: b
b)))))))))))))))) =
      b -> FingerTree (Node a) -> c
cont b
b (Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (15Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
x1 Node a
x2 Node a
x3) (Int
-> Digit (Node (Node a))
-> FingerTree (Node (Node (Node a)))
-> Digit (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (9Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Node (Node a) -> Node (Node a) -> Digit (Node (Node a))
forall a. a -> a -> Digit a
Two (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x4 Node a
x5 Node a
x6) (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x7 Node a
x8 Node a
x9)) FingerTree (Node (Node (Node a)))
forall a. FingerTree a
EmptyT (Node (Node a) -> Digit (Node (Node a))
forall a. a -> Digit a
One (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
y0 Node a
y1 Node a
y2))) (Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
y3 Node a
y4 Node a
y5))
    mkTreeC cont :: b -> FingerTree (Node a) -> c
cont s :: Int
s (LCons x1 :: Node a
x1 (LCons x2 :: Node a
x2 (LCons x3 :: Node a
x3 (LCons x4 :: Node a
x4 (LCons x5 :: Node a
x5 (LCons x6 :: Node a
x6 (LCons x7 :: Node a
x7 (LCons x8 :: Node a
x8 (LCons x9 :: Node a
x9 (LCons y0 :: Node a
y0 (LCons y1 :: Node a
y1 (LCons y2 :: Node a
y2 (LCons y3 :: Node a
y3 (LCons y4 :: Node a
y4 (LCons y5 :: Node a
y5 (LCons y6 :: Node a
y6 xs :: ListFinal (Node a) b
xs)))))))))))))))) =
      ((b, Digit (Node (Node a)), Digit (Node a))
 -> FingerTree (Node (Node (Node a))) -> c)
-> Int
-> ListFinal
     (Node (Node (Node a))) (b, Digit (Node (Node a)), Digit (Node a))
-> c
forall a b c.
(b -> FingerTree (Node a) -> c) -> Int -> ListFinal (Node a) b -> c
mkTreeC (b, Digit (Node (Node a)), Digit (Node a))
-> FingerTree (Node (Node (Node a))) -> c
cont2 (9Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Int
-> Node (Node a)
-> Node a
-> ListFinal (Node a) b
-> ListFinal
     (Node (Node (Node a))) (b, Digit (Node (Node a)), Digit (Node a))
forall a b.
Int
-> Node a
-> a
-> ListFinal a b
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
getNodesC (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
y3 Node a
y4 Node a
y5) Node a
y6 ListFinal (Node a) b
xs)
      where
#ifdef __GLASGOW_HASKELL__
        cont2 :: (b, Digit (Node (Node a)), Digit (Node a)) -> FingerTree (Node (Node (Node a))) -> c
#endif
        cont2 :: (b, Digit (Node (Node a)), Digit (Node a))
-> FingerTree (Node (Node (Node a))) -> c
cont2 (b :: b
b, r1 :: Digit (Node (Node a))
r1, r2 :: Digit (Node a)
r2) !FingerTree (Node (Node (Node a)))
sub =
          let d2 :: Digit (Node a)
d2 = Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
x1 Node a
x2 Node a
x3
              d1 :: Digit (Node (Node a))
d1 = Node (Node a)
-> Node (Node a) -> Node (Node a) -> Digit (Node (Node a))
forall a. a -> a -> a -> Digit a
Three (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x4 Node a
x5 Node a
x6) (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
x7 Node a
x8 Node a
x9) (Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
y0 Node a
y1 Node a
y2)
              !sub1 :: FingerTree (Node (Node a))
sub1 = Int
-> Digit (Node (Node a))
-> FingerTree (Node (Node (Node a)))
-> Digit (Node (Node a))
-> FingerTree (Node (Node a))
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (9Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Digit (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size Digit (Node (Node a))
r1 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Node (Node a))) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node (Node a)))
sub) Digit (Node (Node a))
d1 FingerTree (Node (Node (Node a)))
sub Digit (Node (Node a))
r1
          in b -> FingerTree (Node a) -> c
cont b
b (FingerTree (Node a) -> c) -> FingerTree (Node a) -> c
forall a b. (a -> b) -> a -> b
$! Int
-> Digit (Node a)
-> FingerTree (Node (Node a))
-> Digit (Node a)
-> FingerTree (Node a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Digit (Node a) -> Int
forall a. Sized a => a -> Int
size Digit (Node a)
r2 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
sub1) Digit (Node a)
d2 FingerTree (Node (Node a))
sub1 Digit (Node a)
r2

    getNodesC :: Int
              -> Node a
              -> a
              -> ListFinal a b
              -> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
    getNodesC :: Int
-> Node a
-> a
-> ListFinal a b
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
getNodesC !Int
_ n1 :: Node a
n1 x1 :: a
x1 (LFinal b :: b
b) = (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal ((b, Digit (Node a), Digit a)
 -> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a))
-> (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a b. (a -> b) -> a -> b
$ (b
b, Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
n1, a -> Digit a
forall a. a -> Digit a
One a
x1)
    getNodesC _  n1 :: Node a
n1  x1 :: a
x1 (LCons x2 :: a
x2 (LFinal b :: b
b)) = (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal ((b, Digit (Node a), Digit a)
 -> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a))
-> (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a b. (a -> b) -> a -> b
$ (b
b, Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
n1, a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
x1 a
x2)
    getNodesC _  n1 :: Node a
n1  x1 :: a
x1 (LCons x2 :: a
x2 (LCons x3 :: a
x3 (LFinal b :: b
b))) = (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal ((b, Digit (Node a), Digit a)
 -> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a))
-> (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a b. (a -> b) -> a -> b
$ (b
b, Node a -> Digit (Node a)
forall a. a -> Digit a
One Node a
n1, a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
x1 a
x2 a
x3)
    getNodesC s :: Int
s  n1 :: Node a
n1  x1 :: a
x1 (LCons x2 :: a
x2 (LCons x3 :: a
x3 (LCons x4 :: a
x4 (LFinal b :: b
b)))) =
      let !n2 :: Node a
n2 = Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x1 a
x2 a
x3
      in (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal ((b, Digit (Node a), Digit a)
 -> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a))
-> (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a b. (a -> b) -> a -> b
$ (b
b, Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
n1 Node a
n2, a -> Digit a
forall a. a -> Digit a
One a
x4)
    getNodesC s :: Int
s  n1 :: Node a
n1  x1 :: a
x1 (LCons x2 :: a
x2 (LCons x3 :: a
x3 (LCons x4 :: a
x4 (LCons x5 :: a
x5 (LFinal b :: b
b))))) =
      let !n2 :: Node a
n2 = Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x1 a
x2 a
x3
      in (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal ((b, Digit (Node a), Digit a)
 -> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a))
-> (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a b. (a -> b) -> a -> b
$ (b
b, Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
n1 Node a
n2, a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
x4 a
x5)
    getNodesC s :: Int
s  n1 :: Node a
n1  x1 :: a
x1 (LCons x2 :: a
x2 (LCons x3 :: a
x3 (LCons x4 :: a
x4 (LCons x5 :: a
x5 (LCons x6 :: a
x6 (LFinal b :: b
b)))))) =
      let !n2 :: Node a
n2 = Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x1 a
x2 a
x3
      in (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal ((b, Digit (Node a), Digit a)
 -> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a))
-> (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a b. (a -> b) -> a -> b
$ (b
b, Node a -> Node a -> Digit (Node a)
forall a. a -> a -> Digit a
Two Node a
n1 Node a
n2, a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
x4 a
x5 a
x6)
    getNodesC s :: Int
s  n1 :: Node a
n1  x1 :: a
x1 (LCons x2 :: a
x2 (LCons x3 :: a
x3 (LCons x4 :: a
x4 (LCons x5 :: a
x5 (LCons x6 :: a
x6 (LCons x7 :: a
x7 (LFinal b :: b
b))))))) =
      let !n2 :: Node a
n2 = Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x1 a
x2 a
x3
          !n3 :: Node a
n3 = Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x4 a
x5 a
x6
      in (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal ((b, Digit (Node a), Digit a)
 -> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a))
-> (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a b. (a -> b) -> a -> b
$ (b
b, Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
n1 Node a
n2 Node a
n3, a -> Digit a
forall a. a -> Digit a
One a
x7)
    getNodesC s :: Int
s  n1 :: Node a
n1  x1 :: a
x1 (LCons x2 :: a
x2 (LCons x3 :: a
x3 (LCons x4 :: a
x4 (LCons x5 :: a
x5 (LCons x6 :: a
x6 (LCons x7 :: a
x7 (LCons x8 :: a
x8 (LFinal b :: b
b)))))))) =
      let !n2 :: Node a
n2 = Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x1 a
x2 a
x3
          !n3 :: Node a
n3 = Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x4 a
x5 a
x6
      in (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal ((b, Digit (Node a), Digit a)
 -> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a))
-> (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a b. (a -> b) -> a -> b
$ (b
b, Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
n1 Node a
n2 Node a
n3, a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
x7 a
x8)
    getNodesC s :: Int
s  n1 :: Node a
n1  x1 :: a
x1 (LCons x2 :: a
x2 (LCons x3 :: a
x3 (LCons x4 :: a
x4 (LCons x5 :: a
x5 (LCons x6 :: a
x6 (LCons x7 :: a
x7 (LCons x8 :: a
x8 (LCons x9 :: a
x9 (LFinal b :: b
b))))))))) =
      let !n2 :: Node a
n2 = Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x1 a
x2 a
x3
          !n3 :: Node a
n3 = Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x4 a
x5 a
x6
      in (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a cont. cont -> ListFinal a cont
LFinal ((b, Digit (Node a), Digit a)
 -> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a))
-> (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a b. (a -> b) -> a -> b
$ (b
b, Node a -> Node a -> Node a -> Digit (Node a)
forall a. a -> a -> a -> Digit a
Three Node a
n1 Node a
n2 Node a
n3, a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
x7 a
x8 a
x9)
    getNodesC s :: Int
s  n1 :: Node a
n1  x1 :: a
x1 (LCons x2 :: a
x2 (LCons x3 :: a
x3 (LCons x4 :: a
x4 (LCons x5 :: a
x5 (LCons x6 :: a
x6 (LCons x7 :: a
x7 (LCons x8 :: a
x8 (LCons x9 :: a
x9 (LCons x10 :: a
x10 xs :: ListFinal a b
xs))))))))) =
        Node (Node a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a cont. a -> ListFinal a cont -> ListFinal a cont
LCons Node (Node a)
n10 (ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
 -> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a))
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a b. (a -> b) -> a -> b
$ Int
-> Node a
-> a
-> ListFinal a b
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
forall a b.
Int
-> Node a
-> a
-> ListFinal a b
-> ListFinal (Node (Node a)) (b, Digit (Node a), Digit a)
getNodesC Int
s (Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x7 a
x8 a
x9) a
x10 ListFinal a b
xs
      where !n2 :: Node a
n2 = Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x1 a
x2 a
x3
            !n3 :: Node a
n3 = Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x4 a
x5 a
x6
            !n10 :: Node (Node a)
n10 = Int -> Node a -> Node a -> Node a -> Node (Node a)
forall a. Int -> a -> a -> a -> Node a
Node3 (3Int -> Int -> Int
forall a. Num a => a -> a -> a
*Int
s) Node a
n1 Node a
n2 Node a
n3

    map_elem :: [a] -> [Elem a]
#if __GLASGOW_HASKELL__ >= 708
    map_elem :: [a] -> [Elem a]
map_elem xs :: [a]
xs = [a] -> [Elem a]
forall a b. Coercible a b => a -> b
coerce [a]
xs
#else
    map_elem xs = Data.List.map Elem xs
#endif
    {-# INLINE map_elem #-}

-- essentially: Free ((,) a) b.
data ListFinal a cont = LFinal !cont | LCons !a (ListFinal a cont)

#if __GLASGOW_HASKELL__ >= 708
instance GHC.Exts.IsList (Seq a) where
    type Item (Seq a) = a
    fromList :: [Item (Seq a)] -> Seq a
fromList = [Item (Seq a)] -> Seq a
forall a. [a] -> Seq a
fromList
    fromListN :: Int -> [Item (Seq a)] -> Seq a
fromListN = Int -> [Item (Seq a)] -> Seq a
forall a. Int -> [a] -> Seq a
fromList2
    toList :: Seq a -> [Item (Seq a)]
toList = Seq a -> [Item (Seq a)]
forall (t :: * -> *) a. Foldable t => t a -> [a]
toList
#endif

#ifdef __GLASGOW_HASKELL__
-- | @since 0.5.7
instance a ~ Char => IsString (Seq a) where
    fromString :: [Char] -> Seq a
fromString = [Char] -> Seq a
forall a. [a] -> Seq a
fromList
#endif

------------------------------------------------------------------------
-- Reverse
------------------------------------------------------------------------

-- | \( O(n) \). The reverse of a sequence.
reverse :: Seq a -> Seq a
reverse :: Seq a -> Seq a
reverse (Seq xs :: FingerTree (Elem a)
xs) = FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq ((Elem a -> Elem a) -> FingerTree (Elem a) -> FingerTree (Elem a)
forall a b. (a -> b) -> FingerTree a -> FingerTree b
fmapReverseTree Elem a -> Elem a
forall a. a -> a
id FingerTree (Elem a)
xs)

#ifdef __GLASGOW_HASKELL__
{-# NOINLINE [1] reverse #-}

-- | \( O(n) \). Reverse a sequence while mapping over it. This is not
-- currently exported, but is used in rewrite rules.
fmapReverse :: (a -> b) -> Seq a -> Seq b
fmapReverse :: (a -> b) -> Seq a -> Seq b
fmapReverse f :: a -> b
f (Seq xs :: FingerTree (Elem a)
xs) = FingerTree (Elem b) -> Seq b
forall a. FingerTree (Elem a) -> Seq a
Seq ((Elem a -> Elem b) -> FingerTree (Elem a) -> FingerTree (Elem b)
forall a b. (a -> b) -> FingerTree a -> FingerTree b
fmapReverseTree ((a -> b) -> Elem a -> Elem b
forall a b. (a -> b) -> Elem a -> Elem b
lift_elem a -> b
f) FingerTree (Elem a)
xs)
  where
    lift_elem :: (a -> b) -> (Elem a -> Elem b)
#if __GLASGOW_HASKELL__ >= 708
    lift_elem :: (a -> b) -> Elem a -> Elem b
lift_elem = (a -> b) -> Elem a -> Elem b
forall a b. Coercible a b => a -> b
coerce
#else
    lift_elem g (Elem a) = Elem (g a)
#endif

-- If we're mapping over a sequence, we can reverse it at the same time
-- at no extra charge.
{-# RULES
"fmapSeq/reverse" forall f xs . fmapSeq f (reverse xs) = fmapReverse f xs
"reverse/fmapSeq" forall f xs . reverse (fmapSeq f xs) = fmapReverse f xs
 #-}
#endif

fmapReverseTree :: (a -> b) -> FingerTree a -> FingerTree b
fmapReverseTree :: (a -> b) -> FingerTree a -> FingerTree b
fmapReverseTree _ EmptyT = FingerTree b
forall a. FingerTree a
EmptyT
fmapReverseTree f :: a -> b
f (Single x :: a
x) = b -> FingerTree b
forall a. a -> FingerTree a
Single (a -> b
f a
x)
fmapReverseTree f :: a -> b
f (Deep s :: Int
s pr :: Digit a
pr m :: FingerTree (Node a)
m sf :: Digit a
sf) =
    Int -> Digit b -> FingerTree (Node b) -> Digit b -> FingerTree b
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s ((a -> b) -> Digit a -> Digit b
forall a b. (a -> b) -> Digit a -> Digit b
reverseDigit a -> b
f Digit a
sf)
        ((Node a -> Node b) -> FingerTree (Node a) -> FingerTree (Node b)
forall a b. (a -> b) -> FingerTree a -> FingerTree b
fmapReverseTree ((a -> b) -> Node a -> Node b
forall a b. (a -> b) -> Node a -> Node b
reverseNode a -> b
f) FingerTree (Node a)
m)
        ((a -> b) -> Digit a -> Digit b
forall a b. (a -> b) -> Digit a -> Digit b
reverseDigit a -> b
f Digit a
pr)

{-# INLINE reverseDigit #-}
reverseDigit :: (a -> b) -> Digit a -> Digit b
reverseDigit :: (a -> b) -> Digit a -> Digit b
reverseDigit f :: a -> b
f (One a :: a
a) = b -> Digit b
forall a. a -> Digit a
One (a -> b
f a
a)
reverseDigit f :: a -> b
f (Two a :: a
a b :: a
b) = b -> b -> Digit b
forall a. a -> a -> Digit a
Two (a -> b
f a
b) (a -> b
f a
a)
reverseDigit f :: a -> b
f (Three a :: a
a b :: a
b c :: a
c) = b -> b -> b -> Digit b
forall a. a -> a -> a -> Digit a
Three (a -> b
f a
c) (a -> b
f a
b) (a -> b
f a
a)
reverseDigit f :: a -> b
f (Four a :: a
a b :: a
b c :: a
c d :: a
d) = b -> b -> b -> b -> Digit b
forall a. a -> a -> a -> a -> Digit a
Four (a -> b
f a
d) (a -> b
f a
c) (a -> b
f a
b) (a -> b
f a
a)

reverseNode :: (a -> b) -> Node a -> Node b
reverseNode :: (a -> b) -> Node a -> Node b
reverseNode f :: a -> b
f (Node2 s :: Int
s a :: a
a b :: a
b) = Int -> b -> b -> Node b
forall a. Int -> a -> a -> Node a
Node2 Int
s (a -> b
f a
b) (a -> b
f a
a)
reverseNode f :: a -> b
f (Node3 s :: Int
s a :: a
a b :: a
b c :: a
c) = Int -> b -> b -> b -> Node b
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s (a -> b
f a
c) (a -> b
f a
b) (a -> b
f a
a)

------------------------------------------------------------------------
-- Mapping with a splittable value
------------------------------------------------------------------------

-- For zipping, it is useful to build a result by
-- traversing a sequence while splitting up something else.  For zipping, we
-- traverse the first sequence while splitting up the second.
--
-- What makes all this crazy code a good idea:
--
-- Suppose we zip together two sequences of the same length:
--
-- zs = zip xs ys
--
-- We want to get reasonably fast indexing into zs immediately, rather than
-- needing to construct the entire thing first, as the previous implementation
-- required. The first aspect is that we build the result "outside-in" or
-- "top-down", rather than left to right. That gives us access to both ends
-- quickly. But that's not enough, by itself, to give immediate access to the
-- center of zs. For that, we need to be able to skip over larger segments of
-- zs, delaying their construction until we actually need them. The way we do
-- this is to traverse xs, while splitting up ys according to the structure of
-- xs. If we have a Deep _ pr m sf, we split ys into three pieces, and hand off
-- one piece to the prefix, one to the middle, and one to the suffix of the
-- result. The key point is that we don't need to actually do anything further
-- with those pieces until we actually need them; the computations to split
-- them up further and zip them with their matching pieces can be delayed until
-- they're actually needed. We do the same thing for Digits (splitting into
-- between one and four pieces) and Nodes (splitting into two or three). The
-- ultimate result is that we can index into, or split at, any location in zs
-- in polylogarithmic time *immediately*, while still being able to force all
-- the thunks in O(n) time.
--
-- Benchmark info, and alternatives:
--
-- The old zipping code used mapAccumL to traverse the first sequence while
-- cutting down the second sequence one piece at a time.
--
-- An alternative way to express that basic idea is to convert both sequences
-- to lists, zip the lists, and then convert the result back to a sequence.
-- I'll call this the "listy" implementation.
--
-- I benchmarked two operations: Each started by zipping two sequences
-- constructed with replicate and/or fromList. The first would then immediately
-- index into the result. The second would apply deepseq to force the entire
-- result.  The new implementation worked much better than either of the others
-- on the immediate indexing test, as expected. It also worked better than the
-- old implementation for all the deepseq tests. For short sequences, the listy
-- implementation outperformed all the others on the deepseq test. However, the
-- splitting implementation caught up and surpassed it once the sequences grew
-- long enough. It seems likely that by avoiding rebuilding, it interacts
-- better with the cache hierarchy.
--
-- David Feuer, with some guidance from Carter Schonwald, December 2014

-- | \( O(n) \). Constructs a new sequence with the same structure as an existing
-- sequence using a user-supplied mapping function along with a splittable
-- value and a way to split it. The value is split up lazily according to the
-- structure of the sequence, so one piece of the value is distributed to each
-- element of the sequence. The caller should provide a splitter function that
-- takes a number, @n@, and a splittable value, breaks off a chunk of size @n@
-- from the value, and returns that chunk and the remainder as a pair. The
-- following examples will hopefully make the usage clear:
--
-- > zipWith :: (a -> b -> c) -> Seq a -> Seq b -> Seq c
-- > zipWith f s1 s2 = splitMap splitAt (\b a -> f a (b `index` 0)) s2' s1'
-- >   where
-- >     minLen = min (length s1) (length s2)
-- >     s1' = take minLen s1
-- >     s2' = take minLen s2
--
-- > mapWithIndex :: (Int -> a -> b) -> Seq a -> Seq b
-- > mapWithIndex f = splitMap (\n i -> (i, n+i)) f 0
#ifdef __GLASGOW_HASKELL__
-- We use ScopedTypeVariables to improve performance and make
-- performance less sensitive to minor changes.

-- We INLINE this so GHC can see that the function passed in is
-- strict in its Int argument.
{-# INLINE splitMap #-}
splitMap :: forall s a' b' . (Int -> s -> (s,s)) -> (s -> a' -> b') -> s -> Seq a' -> Seq b'
splitMap :: (Int -> s -> (s, s)) -> (s -> a' -> b') -> s -> Seq a' -> Seq b'
splitMap splt :: Int -> s -> (s, s)
splt f0 :: s -> a' -> b'
f0 s0 :: s
s0 (Seq xs0 :: FingerTree (Elem a')
xs0) = FingerTree (Elem b') -> Seq b'
forall a. FingerTree (Elem a) -> Seq a
Seq (FingerTree (Elem b') -> Seq b') -> FingerTree (Elem b') -> Seq b'
forall a b. (a -> b) -> a -> b
$ (s -> Elem a' -> Elem b')
-> s -> FingerTree (Elem a') -> FingerTree (Elem b')
forall y b.
(s -> Elem y -> b) -> s -> FingerTree (Elem y) -> FingerTree b
splitMapTreeE (\s' :: s
s' (Elem a :: a'
a) -> b' -> Elem b'
forall a. a -> Elem a
Elem (s -> a' -> b'
f0 s
s' a'
a)) s
s0 FingerTree (Elem a')
xs0
  where
    {-# INLINE splitMapTreeE #-}
    splitMapTreeE :: (s -> Elem y -> b) -> s -> FingerTree (Elem y) -> FingerTree b
    splitMapTreeE :: (s -> Elem y -> b) -> s -> FingerTree (Elem y) -> FingerTree b
splitMapTreeE  _ _ EmptyT = FingerTree b
forall a. FingerTree a
EmptyT
    splitMapTreeE  f :: s -> Elem y -> b
f s :: s
s (Single xs :: Elem y
xs) = b -> FingerTree b
forall a. a -> FingerTree a
Single (b -> FingerTree b) -> b -> FingerTree b
forall a b. (a -> b) -> a -> b
$ s -> Elem y -> b
f s
s Elem y
xs
    splitMapTreeE  f :: s -> Elem y -> b
f s :: s
s (Deep n :: Int
n pr :: Digit (Elem y)
pr m :: FingerTree (Node (Elem y))
m sf :: Digit (Elem y)
sf) = Int -> Digit b -> FingerTree (Node b) -> Digit b -> FingerTree b
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
n ((s -> Elem y -> b) -> s -> Digit (Elem y) -> Digit b
forall a b. Sized a => (s -> a -> b) -> s -> Digit a -> Digit b
splitMapDigit s -> Elem y -> b
f s
prs Digit (Elem y)
pr) ((s -> Node (Elem y) -> Node b)
-> s -> FingerTree (Node (Elem y)) -> FingerTree (Node b)
forall a b.
(s -> Node a -> b) -> s -> FingerTree (Node a) -> FingerTree b
splitMapTreeN (\eta1 :: s
eta1 eta2 :: Node (Elem y)
eta2 -> (s -> Elem y -> b) -> s -> Node (Elem y) -> Node b
forall a b. Sized a => (s -> a -> b) -> s -> Node a -> Node b
splitMapNode s -> Elem y -> b
f s
eta1 Node (Elem y)
eta2) s
ms FingerTree (Node (Elem y))
m) ((s -> Elem y -> b) -> s -> Digit (Elem y) -> Digit b
forall a b. Sized a => (s -> a -> b) -> s -> Digit a -> Digit b
splitMapDigit s -> Elem y -> b
f s
sfs Digit (Elem y)
sf)
          where
            !spr :: Int
spr = Digit (Elem y) -> Int
forall a. Sized a => a -> Int
size Digit (Elem y)
pr
            !sm :: Int
sm = Int
n Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
spr Int -> Int -> Int
forall a. Num a => a -> a -> a
- Digit (Elem y) -> Int
forall a. Sized a => a -> Int
size Digit (Elem y)
sf
            (prs :: s
prs, r :: s
r) = Int -> s -> (s, s)
splt Int
spr s
s
            (ms :: s
ms, sfs :: s
sfs) = Int -> s -> (s, s)
splt Int
sm s
r

    splitMapTreeN :: (s -> Node a -> b) -> s -> FingerTree (Node a) -> FingerTree b
    splitMapTreeN :: (s -> Node a -> b) -> s -> FingerTree (Node a) -> FingerTree b
splitMapTreeN _ _ EmptyT = FingerTree b
forall a. FingerTree a
EmptyT
    splitMapTreeN f :: s -> Node a -> b
f s :: s
s (Single xs :: Node a
xs) = b -> FingerTree b
forall a. a -> FingerTree a
Single (b -> FingerTree b) -> b -> FingerTree b
forall a b. (a -> b) -> a -> b
$ s -> Node a -> b
f s
s Node a
xs
    splitMapTreeN f :: s -> Node a -> b
f s :: s
s (Deep n :: Int
n pr :: Digit (Node a)
pr m :: FingerTree (Node (Node a))
m sf :: Digit (Node a)
sf) = Int -> Digit b -> FingerTree (Node b) -> Digit b -> FingerTree b
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
n ((s -> Node a -> b) -> s -> Digit (Node a) -> Digit b
forall a b. Sized a => (s -> a -> b) -> s -> Digit a -> Digit b
splitMapDigit s -> Node a -> b
f s
prs Digit (Node a)
pr) ((s -> Node (Node a) -> Node b)
-> s -> FingerTree (Node (Node a)) -> FingerTree (Node b)
forall a b.
(s -> Node a -> b) -> s -> FingerTree (Node a) -> FingerTree b
splitMapTreeN (\eta1 :: s
eta1 eta2 :: Node (Node a)
eta2 -> (s -> Node a -> b) -> s -> Node (Node a) -> Node b
forall a b. Sized a => (s -> a -> b) -> s -> Node a -> Node b
splitMapNode s -> Node a -> b
f s
eta1 Node (Node a)
eta2) s
ms FingerTree (Node (Node a))
m) ((s -> Node a -> b) -> s -> Digit (Node a) -> Digit b
forall a b. Sized a => (s -> a -> b) -> s -> Digit a -> Digit b
splitMapDigit s -> Node a -> b
f s
sfs Digit (Node a)
sf)
          where
            (prs :: s
prs, r :: s
r) = Int -> s -> (s, s)
splt (Digit (Node a) -> Int
forall a. Sized a => a -> Int
size Digit (Node a)
pr) s
s
            (ms :: s
ms, sfs :: s
sfs) = Int -> s -> (s, s)
splt (FingerTree (Node (Node a)) -> Int
forall a. Sized a => a -> Int
size FingerTree (Node (Node a))
m) s
r

    {-# INLINE splitMapDigit #-}
    splitMapDigit :: Sized a => (s -> a -> b) -> s -> Digit a -> Digit b
    splitMapDigit :: (s -> a -> b) -> s -> Digit a -> Digit b
splitMapDigit f :: s -> a -> b
f s :: s
s (One a :: a
a) = b -> Digit b
forall a. a -> Digit a
One (s -> a -> b
f s
s a
a)
    splitMapDigit f :: s -> a -> b
f s :: s
s (Two a :: a
a b :: a
b) = b -> b -> Digit b
forall a. a -> a -> Digit a
Two (s -> a -> b
f s
first a
a) (s -> a -> b
f s
second a
b)
      where
        (first :: s
first, second :: s
second) = Int -> s -> (s, s)
splt (a -> Int
forall a. Sized a => a -> Int
size a
a) s
s
    splitMapDigit f :: s -> a -> b
f s :: s
s (Three a :: a
a b :: a
b c :: a
c) = b -> b -> b -> Digit b
forall a. a -> a -> a -> Digit a
Three (s -> a -> b
f s
first a
a) (s -> a -> b
f s
second a
b) (s -> a -> b
f s
third a
c)
      where
        (first :: s
first, r :: s
r) = Int -> s -> (s, s)
splt (a -> Int
forall a. Sized a => a -> Int
size a
a) s
s
        (second :: s
second, third :: s
third) = Int -> s -> (s, s)
splt (a -> Int
forall a. Sized a => a -> Int
size a
b) s
r
    splitMapDigit f :: s -> a -> b
f s :: s
s (Four a :: a
a b :: a
b c :: a
c d :: a
d) = b -> b -> b -> b -> Digit b
forall a. a -> a -> a -> a -> Digit a
Four (s -> a -> b
f s
first a
a) (s -> a -> b
f s
second a
b) (s -> a -> b
f s
third a
c) (s -> a -> b
f s
fourth a
d)
      where
        (first :: s
first, s' :: s
s') = Int -> s -> (s, s)
splt (a -> Int
forall a. Sized a => a -> Int
size a
a) s
s
        (middle :: s
middle, fourth :: s
fourth) = Int -> s -> (s, s)
splt (a -> Int
forall a. Sized a => a -> Int
size a
b Int -> Int -> Int
forall a. Num a => a -> a -> a
+ a -> Int
forall a. Sized a => a -> Int
size a
c) s
s'
        (second :: s
second, third :: s
third) = Int -> s -> (s, s)
splt (a -> Int
forall a. Sized a => a -> Int
size a
b) s
middle

    {-# INLINE splitMapNode #-}
    splitMapNode :: Sized a => (s -> a -> b) -> s -> Node a -> Node b
    splitMapNode :: (s -> a -> b) -> s -> Node a -> Node b
splitMapNode f :: s -> a -> b
f s :: s
s (Node2 ns :: Int
ns a :: a
a b :: a
b) = Int -> b -> b -> Node b
forall a. Int -> a -> a -> Node a
Node2 Int
ns (s -> a -> b
f s
first a
a) (s -> a -> b
f s
second a
b)
      where
        (first :: s
first, second :: s
second) = Int -> s -> (s, s)
splt (a -> Int
forall a. Sized a => a -> Int
size a
a) s
s
    splitMapNode f :: s -> a -> b
f s :: s
s (Node3 ns :: Int
ns a :: a
a b :: a
b c :: a
c) = Int -> b -> b -> b -> Node b
forall a. Int -> a -> a -> a -> Node a
Node3 Int
ns (s -> a -> b
f s
first a
a) (s -> a -> b
f s
second a
b) (s -> a -> b
f s
third a
c)
      where
        (first :: s
first, r :: s
r) = Int -> s -> (s, s)
splt (a -> Int
forall a. Sized a => a -> Int
size a
a) s
s
        (second :: s
second, third :: s
third) = Int -> s -> (s, s)
splt (a -> Int
forall a. Sized a => a -> Int
size a
b) s
r

#else
-- Implementation without ScopedTypeVariables--somewhat slower,
-- and much more sensitive to minor changes in various places.

{-# INLINE splitMap #-}
splitMap :: (Int -> s -> (s,s)) -> (s -> a -> b) -> s -> Seq a -> Seq b
splitMap splt' f0 s0 (Seq xs0) = Seq $ splitMapTreeE splt' (\s' (Elem a) -> Elem (f0 s' a)) s0 xs0

{-# INLINE splitMapTreeE #-}
splitMapTreeE :: (Int -> s -> (s,s)) -> (s -> Elem y -> b) -> s -> FingerTree (Elem y) -> FingerTree b
splitMapTreeE _    _ _ EmptyT = EmptyT
splitMapTreeE _    f s (Single xs) = Single $ f s xs
splitMapTreeE splt f s (Deep n pr m sf) = Deep n (splitMapDigit splt f prs pr) (splitMapTreeN splt (\eta1 eta2 -> splitMapNode splt f eta1 eta2) ms m) (splitMapDigit splt f sfs sf)
      where
        !spr = size pr
        sm = n - spr - size sf
        (prs, r) = splt spr s
        (ms, sfs) = splt sm r

splitMapTreeN :: (Int -> s -> (s,s)) -> (s -> Node a -> b) -> s -> FingerTree (Node a) -> FingerTree b
splitMapTreeN _    _ _ EmptyT = EmptyT
splitMapTreeN _    f s (Single xs) = Single $ f s xs
splitMapTreeN splt f s (Deep n pr m sf) = Deep n (splitMapDigit splt f prs pr) (splitMapTreeN splt (\eta1 eta2 -> splitMapNode splt f eta1 eta2) ms m) (splitMapDigit splt f sfs sf)
      where
        (prs, r) = splt (size pr) s
        (ms, sfs) = splt (size m) r

{-# INLINE splitMapDigit #-}
splitMapDigit :: Sized a => (Int -> s -> (s,s)) -> (s -> a -> b) -> s -> Digit a -> Digit b
splitMapDigit _    f s (One a) = One (f s a)
splitMapDigit splt f s (Two a b) = Two (f first a) (f second b)
  where
    (first, second) = splt (size a) s
splitMapDigit splt f s (Three a b c) = Three (f first a) (f second b) (f third c)
  where
    (first, r) = splt (size a) s
    (second, third) = splt (size b) r
splitMapDigit splt f s (Four a b c d) = Four (f first a) (f second b) (f third c) (f fourth d)
  where
    (first, s') = splt (size a) s
    (middle, fourth) = splt (size b + size c) s'
    (second, third) = splt (size b) middle

{-# INLINE splitMapNode #-}
splitMapNode :: Sized a => (Int -> s -> (s,s)) -> (s -> a -> b) -> s -> Node a -> Node b
splitMapNode splt f s (Node2 ns a b) = Node2 ns (f first a) (f second b)
  where
    (first, second) = splt (size a) s
splitMapNode splt f s (Node3 ns a b c) = Node3 ns (f first a) (f second b) (f third c)
  where
    (first, r) = splt (size a) s
    (second, third) = splt (size b) r
#endif

------------------------------------------------------------------------
-- Zipping
------------------------------------------------------------------------

-- We use a custom definition of munzip to avoid retaining
-- memory longer than necessary. Using the default definition, if
-- we write
--
-- let (xs,ys) = munzip zs
-- in xs `deepseq` (... ys ...)
--
-- then ys will retain the entire zs sequence until ys itself is fully forced.
-- This implementation uses the selector thunk optimization to prevent that.
-- Unfortunately, that optimization is fragile, so we can't actually guarantee
-- anything.

-- | @ 'mzipWith' = 'zipWith' @
--
-- @ 'munzip' = 'unzip' @
instance MonadZip Seq where
  mzipWith :: (a -> b -> c) -> Seq a -> Seq b -> Seq c
mzipWith = (a -> b -> c) -> Seq a -> Seq b -> Seq c
forall a b c. (a -> b -> c) -> Seq a -> Seq b -> Seq c
zipWith
  munzip :: Seq (a, b) -> (Seq a, Seq b)
munzip = Seq (a, b) -> (Seq a, Seq b)
forall a b. Seq (a, b) -> (Seq a, Seq b)
unzip

-- | Unzip a sequence of pairs.
--
-- @
-- unzip ps = ps ``seq`` ('fmap' 'fst' ps) ('fmap' 'snd' ps)
-- @
--
-- Example:
--
-- @
-- unzip $ fromList [(1,"a"), (2,"b"), (3,"c")] =
--   (fromList [1,2,3], fromList ["a", "b", "c"])
-- @
--
-- See the note about efficiency at 'unzipWith'.
--
-- @since 0.5.11
unzip :: Seq (a, b) -> (Seq a, Seq b)
unzip :: Seq (a, b) -> (Seq a, Seq b)
unzip xs :: Seq (a, b)
xs = ((a, b) -> (a, b)) -> Seq (a, b) -> (Seq a, Seq b)
forall a b c. (a -> (b, c)) -> Seq a -> (Seq b, Seq c)
unzipWith (a, b) -> (a, b)
forall a. a -> a
id Seq (a, b)
xs

-- | \( O(n) \). Unzip a sequence using a function to divide elements.
--
-- @ unzipWith f xs == 'unzip' ('fmap' f xs) @
--
-- Efficiency note:
--
-- @unzipWith@ produces its two results in lockstep. If you calculate
-- @ unzipWith f xs @ and fully force /either/ of the results, then the
-- entire structure of the /other/ one will be built as well. This
-- behavior allows the garbage collector to collect each calculated
-- pair component as soon as it dies, without having to wait for its mate
-- to die. If you do not need this behavior, you may be better off simply
-- calculating the sequence of pairs and using 'fmap' to extract each
-- component sequence.
--
-- @since 0.5.11
unzipWith :: (a -> (b, c)) -> Seq a -> (Seq b, Seq c)
unzipWith :: (a -> (b, c)) -> Seq a -> (Seq b, Seq c)
unzipWith f :: a -> (b, c)
f = (a -> (b, c)) -> Seq a -> (Seq b, Seq c)
forall (f :: * -> *) x a b.
UnzipWith f =>
(x -> (a, b)) -> f x -> (f a, f b)
unzipWith' (\x :: a
x ->
  let
    {-# NOINLINE fx #-}
    fx :: (b, c)
fx = a -> (b, c)
f a
x
    (y :: b
y,z :: c
z) = (b, c)
fx
  in (b
y,c
z))
-- Why do we lazify `f`? Because we don't want the strictness to depend
-- on exactly how the sequence is balanced. For example, what do we want
-- from
--
-- unzip [(1,2), undefined, (5,6)]?
--
-- The argument could be represented as
--
-- Seq $ Deep 3 (One (Elem (1,2))) EmptyT (Two undefined (Elem (5,6)))
--
-- or as
--
-- Seq $ Deep 3 (Two (Elem (1,2)) undefined) EmptyT (One (Elem (5,6)))
--
-- We don't want the tree balance to determine whether we get
--
-- ([1, undefined, undefined], [2, undefined, undefined])
--
-- or
--
-- ([undefined, undefined, 5], [undefined, undefined, 6])
--
-- so we pretty much have to be completely lazy in the elements.

#ifdef __GLASGOW_HASKELL__
{-# NOINLINE [1] unzipWith #-}

-- We don't need a special rule for unzip:
--
-- unzip (fmap f xs) = unzipWith id f xs,
--
-- which rewrites to unzipWith (id . f) xs
--
-- It's true that if GHC doesn't know the arity of `f` then
-- it won't reduce further, but that doesn't seem like too
-- big a deal here.
{-# RULES
"unzipWith/fmapSeq" forall f g xs. unzipWith f (fmapSeq g xs) =
                                     unzipWith (f . g) xs
 #-}
#endif

class UnzipWith f where
  unzipWith' :: (x -> (a, b)) -> f x -> (f a, f b)

-- This instance is only used at the very top of the tree;
-- the rest of the elements are handled by unzipWithNodeElem
instance UnzipWith Elem where
#if __GLASGOW_HASKELL__ >= 708
  unzipWith' :: (x -> (a, b)) -> Elem x -> (Elem a, Elem b)
unzipWith' = (x -> (a, b)) -> Elem x -> (Elem a, Elem b)
forall a b. Coercible a b => a -> b
coerce
#else
  unzipWith' f (Elem a) = case f a of (x, y) -> (Elem x, Elem y)
#endif

-- We're very lazy here for the sake of efficiency. We want to be able to
-- reach any element of either result in logarithmic time. If we pattern
-- match strictly, we'll end up building entire 2-3 trees at once, which
-- would take linear time.
--
-- However, we're not *entirely* lazy! We are careful to build pieces
-- of each sequence as the corresponding pieces of the *other* sequence
-- are demanded. This allows the garbage collector to get rid of each
-- *component* of each result pair as soon as it is dead.
--
-- Note that this instance is used only for *internal* nodes. Nodes
-- containing elements are handled by 'unzipWithNodeElem'
instance UnzipWith Node where
  unzipWith' :: (x -> (a, b)) -> Node x -> (Node a, Node b)
unzipWith' f :: x -> (a, b)
f (Node2 s :: Int
s x :: x
x y :: x
y) =
    ( Int -> a -> a -> Node a
forall a. Int -> a -> a -> Node a
Node2 Int
s a
x1 a
y1
    , Int -> b -> b -> Node b
forall a. Int -> a -> a -> Node a
Node2 Int
s b
x2 b
y2)
    where
      {-# NOINLINE fx #-}
      {-# NOINLINE fy #-}
      fx :: (a, b)
fx = (a, b) -> (a, b)
forall a b. (a, b) -> (a, b)
strictifyPair (x -> (a, b)
f x
x)
      fy :: (a, b)
fy = (a, b) -> (a, b)
forall a b. (a, b) -> (a, b)
strictifyPair (x -> (a, b)
f x
y)
      (x1 :: a
x1, x2 :: b
x2) = (a, b)
fx
      (y1 :: a
y1, y2 :: b
y2) = (a, b)
fy
  unzipWith' f :: x -> (a, b)
f (Node3 s :: Int
s x :: x
x y :: x
y z :: x
z) =
    ( Int -> a -> a -> a -> Node a
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s a
x1 a
y1 a
z1
    , Int -> b -> b -> b -> Node b
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s b
x2 b
y2 b
z2)
    where
      {-# NOINLINE fx #-}
      {-# NOINLINE fy #-}
      {-# NOINLINE fz #-}
      fx :: (a, b)
fx = (a, b) -> (a, b)
forall a b. (a, b) -> (a, b)
strictifyPair (x -> (a, b)
f x
x)
      fy :: (a, b)
fy = (a, b) -> (a, b)
forall a b. (a, b) -> (a, b)
strictifyPair (x -> (a, b)
f x
y)
      fz :: (a, b)
fz = (a, b) -> (a, b)
forall a b. (a, b) -> (a, b)
strictifyPair (x -> (a, b)
f x
z)
      (x1 :: a
x1, x2 :: b
x2) = (a, b)
fx
      (y1 :: a
y1, y2 :: b
y2) = (a, b)
fy
      (z1 :: a
z1, z2 :: b
z2) = (a, b)
fz

-- Force both elements of a pair
strictifyPair :: (a, b) -> (a, b)
strictifyPair :: (a, b) -> (a, b)
strictifyPair (!a
x, !b
y) = (a
x, b
y)

-- We're strict here for the sake of efficiency. The Node instance
-- is lazy, so we don't particularly need to add an extra thunk on top
-- of each node.
instance UnzipWith Digit where
  unzipWith' :: (x -> (a, b)) -> Digit x -> (Digit a, Digit b)
unzipWith' f :: x -> (a, b)
f (One x :: x
x)
    | (x1 :: a
x1, x2 :: b
x2) <- x -> (a, b)
f x
x
    = (a -> Digit a
forall a. a -> Digit a
One a
x1, b -> Digit b
forall a. a -> Digit a
One b
x2)
  unzipWith' f :: x -> (a, b)
f (Two x :: x
x y :: x
y)
    | (x1 :: a
x1, x2 :: b
x2) <- x -> (a, b)
f x
x
    , (y1 :: a
y1, y2 :: b
y2) <- x -> (a, b)
f x
y
    = ( a -> a -> Digit a
forall a. a -> a -> Digit a
Two a
x1 a
y1
      , b -> b -> Digit b
forall a. a -> a -> Digit a
Two b
x2 b
y2)
  unzipWith' f :: x -> (a, b)
f (Three x :: x
x y :: x
y z :: x
z)
    | (x1 :: a
x1, x2 :: b
x2) <- x -> (a, b)
f x
x
    , (y1 :: a
y1, y2 :: b
y2) <- x -> (a, b)
f x
y
    , (z1 :: a
z1, z2 :: b
z2) <- x -> (a, b)
f x
z
    = ( a -> a -> a -> Digit a
forall a. a -> a -> a -> Digit a
Three a
x1 a
y1 a
z1
      , b -> b -> b -> Digit b
forall a. a -> a -> a -> Digit a
Three b
x2 b
y2 b
z2)
  unzipWith' f :: x -> (a, b)
f (Four x :: x
x y :: x
y z :: x
z w :: x
w)
    | (x1 :: a
x1, x2 :: b
x2) <- x -> (a, b)
f x
x
    , (y1 :: a
y1, y2 :: b
y2) <- x -> (a, b)
f x
y
    , (z1 :: a
z1, z2 :: b
z2) <- x -> (a, b)
f x
z
    , (w1 :: a
w1, w2 :: b
w2) <- x -> (a, b)
f x
w
    = ( a -> a -> a -> a -> Digit a
forall a. a -> a -> a -> a -> Digit a
Four a
x1 a
y1 a
z1 a
w1
      , b -> b -> b -> b -> Digit b
forall a. a -> a -> a -> a -> Digit a
Four b
x2 b
y2 b
z2 b
w2)

instance UnzipWith FingerTree where
  unzipWith' :: (x -> (a, b)) -> FingerTree x -> (FingerTree a, FingerTree b)
unzipWith' _ EmptyT = (FingerTree a
forall a. FingerTree a
EmptyT, FingerTree b
forall a. FingerTree a
EmptyT)
  unzipWith' f :: x -> (a, b)
f (Single x :: x
x)
    | (x1 :: a
x1, x2 :: b
x2) <- x -> (a, b)
f x
x
    = (a -> FingerTree a
forall a. a -> FingerTree a
Single a
x1, b -> FingerTree b
forall a. a -> FingerTree a
Single b
x2)
  unzipWith' f :: x -> (a, b)
f (Deep s :: Int
s pr :: Digit x
pr m :: FingerTree (Node x)
m sf :: Digit x
sf)
    | (!Digit a
pr1, !Digit b
pr2) <- (x -> (a, b)) -> Digit x -> (Digit a, Digit b)
forall (f :: * -> *) x a b.
UnzipWith f =>
(x -> (a, b)) -> f x -> (f a, f b)
unzipWith' x -> (a, b)
f Digit x
pr
    , (!Digit a
sf1, !Digit b
sf2) <- (x -> (a, b)) -> Digit x -> (Digit a, Digit b)
forall (f :: * -> *) x a b.
UnzipWith f =>
(x -> (a, b)) -> f x -> (f a, f b)
unzipWith' x -> (a, b)
f Digit x
sf
    = (Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s Digit a
pr1 FingerTree (Node a)
m1 Digit a
sf1, Int -> Digit b -> FingerTree (Node b) -> Digit b -> FingerTree b
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s Digit b
pr2 FingerTree (Node b)
m2 Digit b
sf2)
    where
      {-# NOINLINE m1m2 #-}
      m1m2 :: (FingerTree (Node a), FingerTree (Node b))
m1m2 = (FingerTree (Node a), FingerTree (Node b))
-> (FingerTree (Node a), FingerTree (Node b))
forall a b. (a, b) -> (a, b)
strictifyPair ((FingerTree (Node a), FingerTree (Node b))
 -> (FingerTree (Node a), FingerTree (Node b)))
-> (FingerTree (Node a), FingerTree (Node b))
-> (FingerTree (Node a), FingerTree (Node b))
forall a b. (a -> b) -> a -> b
$ (Node x -> (Node a, Node b))
-> FingerTree (Node x)
-> (FingerTree (Node a), FingerTree (Node b))
forall (f :: * -> *) x a b.
UnzipWith f =>
(x -> (a, b)) -> f x -> (f a, f b)
unzipWith' ((x -> (a, b)) -> Node x -> (Node a, Node b)
forall (f :: * -> *) x a b.
UnzipWith f =>
(x -> (a, b)) -> f x -> (f a, f b)
unzipWith' x -> (a, b)
f) FingerTree (Node x)
m
      (m1 :: FingerTree (Node a)
m1, m2 :: FingerTree (Node b)
m2) = (FingerTree (Node a), FingerTree (Node b))
m1m2

instance UnzipWith Seq where
  unzipWith' :: (x -> (a, b)) -> Seq x -> (Seq a, Seq b)
unzipWith' _ (Seq EmptyT) = (Seq a
forall a. Seq a
empty, Seq b
forall a. Seq a
empty)
  unzipWith' f :: x -> (a, b)
f (Seq (Single (Elem x :: x
x)))
    | (x1 :: a
x1, x2 :: b
x2) <- x -> (a, b)
f x
x
    = (a -> Seq a
forall a. a -> Seq a
singleton a
x1, b -> Seq b
forall a. a -> Seq a
singleton b
x2)
  unzipWith' f :: x -> (a, b)
f (Seq (Deep s :: Int
s pr :: Digit (Elem x)
pr m :: FingerTree (Node (Elem x))
m sf :: Digit (Elem x)
sf))
    | (!Digit (Elem a)
pr1, !Digit (Elem b)
pr2) <- (Elem x -> (Elem a, Elem b))
-> Digit (Elem x) -> (Digit (Elem a), Digit (Elem b))
forall (f :: * -> *) x a b.
UnzipWith f =>
(x -> (a, b)) -> f x -> (f a, f b)
unzipWith' ((x -> (a, b)) -> Elem x -> (Elem a, Elem b)
forall (f :: * -> *) x a b.
UnzipWith f =>
(x -> (a, b)) -> f x -> (f a, f b)
unzipWith' x -> (a, b)
f) Digit (Elem x)
pr
    , (!Digit (Elem a)
sf1, !Digit (Elem b)
sf2) <- (Elem x -> (Elem a, Elem b))
-> Digit (Elem x) -> (Digit (Elem a), Digit (Elem b))
forall (f :: * -> *) x a b.
UnzipWith f =>
(x -> (a, b)) -> f x -> (f a, f b)
unzipWith' ((x -> (a, b)) -> Elem x -> (Elem a, Elem b)
forall (f :: * -> *) x a b.
UnzipWith f =>
(x -> (a, b)) -> f x -> (f a, f b)
unzipWith' x -> (a, b)
f) Digit (Elem x)
sf
    = (FingerTree (Elem a) -> Seq a
forall a. FingerTree (Elem a) -> Seq a
Seq (Int
-> Digit (Elem a)
-> FingerTree (Node (Elem a))
-> Digit (Elem a)
-> FingerTree (Elem a)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s Digit (Elem a)
pr1 FingerTree (Node (Elem a))
m1 Digit (Elem a)
sf1), FingerTree (Elem b) -> Seq b
forall a. FingerTree (Elem a) -> Seq a
Seq (Int
-> Digit (Elem b)
-> FingerTree (Node (Elem b))
-> Digit (Elem b)
-> FingerTree (Elem b)
forall a.
Int -> Digit a -> FingerTree (Node a) -> Digit a -> FingerTree a
Deep Int
s Digit (Elem b)
pr2 FingerTree (Node (Elem b))
m2 Digit (Elem b)
sf2))
    where
      {-# NOINLINE m1m2 #-}
      m1m2 :: (FingerTree (Node (Elem a)), FingerTree (Node (Elem b)))
m1m2 = (FingerTree (Node (Elem a)), FingerTree (Node (Elem b)))
-> (FingerTree (Node (Elem a)), FingerTree (Node (Elem b)))
forall a b. (a, b) -> (a, b)
strictifyPair ((FingerTree (Node (Elem a)), FingerTree (Node (Elem b)))
 -> (FingerTree (Node (Elem a)), FingerTree (Node (Elem b))))
-> (FingerTree (Node (Elem a)), FingerTree (Node (Elem b)))
-> (FingerTree (Node (Elem a)), FingerTree (Node (Elem b)))
forall a b. (a -> b) -> a -> b
$ (Node (Elem x) -> (Node (Elem a), Node (Elem b)))
-> FingerTree (Node (Elem x))
-> (FingerTree (Node (Elem a)), FingerTree (Node (Elem b)))
forall (f :: * -> *) x a b.
UnzipWith f =>
(x -> (a, b)) -> f x -> (f a, f b)
unzipWith' ((x -> (a, b)) -> Node (Elem x) -> (Node (Elem a), Node (Elem b))
forall x a b.
(x -> (a, b)) -> Node (Elem x) -> (Node (Elem a), Node (Elem b))
unzipWithNodeElem x -> (a, b)
f) FingerTree (Node (Elem x))
m
      (m1 :: FingerTree (Node (Elem a))
m1, m2 :: FingerTree (Node (Elem b))
m2) = (FingerTree (Node (Elem a)), FingerTree (Node (Elem b)))
m1m2

-- Here we need to be lazy in the children (because they're
-- Elems), but we can afford to be strict in the results
-- of `f` because it's sure to return a pair immediately
-- (unzipWith lazifies the function it's passed).
unzipWithNodeElem :: (x -> (a, b))
       -> Node (Elem x) -> (Node (Elem a), Node (Elem b))
unzipWithNodeElem :: (x -> (a, b)) -> Node (Elem x) -> (Node (Elem a), Node (Elem b))
unzipWithNodeElem f :: x -> (a, b)
f (Node2 s :: Int
s (Elem x :: x
x) (Elem y :: x
y))
  | (x1 :: a
x1, x2 :: b
x2) <- x -> (a, b)
f x
x
  , (y1 :: a
y1, y2 :: b
y2) <- x -> (a, b)
f x
y
  = ( Int -> Elem a -> Elem a -> Node (Elem a)
forall a. Int -> a -> a -> Node a
Node2 Int
s (a -> Elem a
forall a. a -> Elem a
Elem a
x1) (a -> Elem a
forall a. a -> Elem a
Elem a
y1)
    , Int -> Elem b -> Elem b -> Node (Elem b)
forall a. Int -> a -> a -> Node a
Node2 Int
s (b -> Elem b
forall a. a -> Elem a
Elem b
x2) (b -> Elem b
forall a. a -> Elem a
Elem b
y2))
unzipWithNodeElem f :: x -> (a, b)
f (Node3 s :: Int
s (Elem x :: x
x) (Elem y :: x
y) (Elem z :: x
z))
  | (x1 :: a
x1, x2 :: b
x2) <- x -> (a, b)
f x
x
  , (y1 :: a
y1, y2 :: b
y2) <- x -> (a, b)
f x
y
  , (z1 :: a
z1, z2 :: b
z2) <- x -> (a, b)
f x
z
  = ( Int -> Elem a -> Elem a -> Elem a -> Node (Elem a)
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s (a -> Elem a
forall a. a -> Elem a
Elem a
x1) (a -> Elem a
forall a. a -> Elem a
Elem a
y1) (a -> Elem a
forall a. a -> Elem a
Elem a
z1)
    , Int -> Elem b -> Elem b -> Elem b -> Node (Elem b)
forall a. Int -> a -> a -> a -> Node a
Node3 Int
s (b -> Elem b
forall a. a -> Elem a
Elem b
x2) (b -> Elem b
forall a. a -> Elem a
Elem b
y2) (b -> Elem b
forall a. a -> Elem a
Elem b
z2))

-- | \( O(\min(n_1,n_2)) \).  'zip' takes two sequences and returns a sequence
-- of corresponding pairs.  If one input is short, excess elements are
-- discarded from the right end of the longer sequence.
zip :: Seq a -> Seq b -> Seq (a, b)
zip :: Seq a -> Seq b -> Seq (a, b)
zip = (a -> b -> (a, b)) -> Seq a -> Seq b -> Seq (a, b)
forall a b c. (a -> b -> c) -> Seq a -> Seq b -> Seq c
zipWith (,)

-- | \( O(\min(n_1,n_2)) \).  'zipWith' generalizes 'zip' by zipping with the
-- function given as the first argument, instead of a tupling function.
-- For example, @zipWith (+)@ is applied to two sequences to take the
-- sequence of corresponding sums.
zipWith :: (a -> b -> c) -> Seq a -> Seq b -> Seq c
zipWith :: (a -> b -> c) -> Seq a -> Seq b -> Seq c
zipWith f :: a -> b -> c
f s1 :: Seq a
s1 s2 :: Seq b
s2 = (a -> b -> c) -> Seq a -> Seq b -> Seq c
forall a b c. (a -> b -> c) -> Seq a -> Seq b -> Seq c
zipWith' a -> b -> c
f Seq a
s1' Seq b
s2'
  where
    minLen :: Int
minLen = Int -> Int -> Int
forall a. Ord a => a -> a -> a
min (Seq a -> Int
forall a. Seq a -> Int
length Seq a
s1) (Seq b -> Int
forall a. Seq a -> Int
length Seq b
s2)
    s1' :: Seq a
s1' = Int -> Seq a -> Seq a
forall a. Int -> Seq a -> Seq a
take Int
minLen Seq a
s1
    s2' :: Seq b
s2' = Int -> Seq b -> Seq b
forall a. Int -> Seq a -> Seq a
take Int
minLen Seq b
s2

-- | A version of zipWith that assumes the sequences have the same length.
zipWith' :: (a -> b -> c) -> Seq a -> Seq b -> Seq c
zipWith' :: (a -> b -> c) -> Seq a -> Seq b -> Seq c
zipWith' f :: a -> b -> c
f s1 :: Seq a
s1 s2 :: Seq b
s2 = (Int -> Seq b -> (Seq b, Seq b))
-> (Seq b -> a -> c) -> Seq b -> Seq a -> Seq c
forall s a' b'.
(Int -> s -> (s, s)) -> (s -> a' -> b') -> s -> Seq a' -> Seq b'
splitMap Int -> Seq b -> (Seq b, Seq b)
forall a. Int -> Seq a -> (Seq a, Seq a)
uncheckedSplitAt Seq b -> a -> c
goLeaf Seq b
s2 Seq a
s1
  where
    goLeaf :: Seq b -> a -> c
goLeaf (Seq (Single (Elem b :: b
b))) a :: a
a = a -> b -> c
f a
a b
b
    goLeaf _ _ = [Char] -> c
forall a. HasCallStack => [Char] -> a
error "Data.Sequence.zipWith'.goLeaf internal error: not a singleton"

-- | \( O(\min(n_1,n_2,n_3)) \).  'zip3' takes three sequences and returns a
-- sequence of triples, analogous to 'zip'.
zip3 :: Seq a -> Seq b -> Seq c -> Seq (a,b,c)
zip3 :: Seq a -> Seq b -> Seq c -> Seq (a, b, c)
zip3 = (a -> b -> c -> (a, b, c))
-> Seq a -> Seq b -> Seq c -> Seq (a, b, c)
forall a b c d.
(a -> b -> c -> d) -> Seq a -> Seq b -> Seq c -> Seq d
zipWith3 (,,)

-- | \( O(\min(n_1,n_2,n_3)) \).  'zipWith3' takes a function which combines
-- three elements, as well as three sequences and returns a sequence of
-- their point-wise combinations, analogous to 'zipWith'.
zipWith3 :: (a -> b -> c -> d) -> Seq a -> Seq b -> Seq c -> Seq d
zipWith3 :: (a -> b -> c -> d) -> Seq a -> Seq b -> Seq c -> Seq d
zipWith3 f :: a -> b -> c -> d
f s1 :: Seq a
s1 s2 :: Seq b
s2 s3 :: Seq c
s3 = ((c -> d) -> c -> d) -> Seq (c -> d) -> Seq c -> Seq d
forall a b c. (a -> b -> c) -> Seq a -> Seq b -> Seq c
zipWith' (c -> d) -> c -> d
forall a b. (a -> b) -> a -> b
($) ((a -> b -> c -> d) -> Seq a -> Seq b -> Seq (c -> d)
forall a b c. (a -> b -> c) -> Seq a -> Seq b -> Seq c
zipWith' a -> b -> c -> d
f Seq a
s1' Seq b
s2') Seq c
s3'
  where
    minLen :: Int
minLen = [Int] -> Int
forall (t :: * -> *) a. (Foldable t, Ord a) => t a -> a
minimum [Seq a -> Int
forall a. Seq a -> Int
length Seq a
s1, Seq b -> Int
forall a. Seq a -> Int
length Seq b
s2, Seq c -> Int
forall a. Seq a -> Int
length Seq c
s3]
    s1' :: Seq a
s1' = Int -> Seq a -> Seq a
forall a. Int -> Seq a -> Seq a
take Int
minLen Seq a
s1
    s2' :: Seq b
s2' = Int -> Seq b -> Seq b
forall a. Int -> Seq a -> Seq a
take Int
minLen Seq b
s2
    s3' :: Seq c
s3' = Int -> Seq c -> Seq c
forall a. Int -> Seq a -> Seq a
take Int
minLen Seq c
s3

zipWith3' :: (a -> b -> c -> d) -> Seq a -> Seq b -> Seq c -> Seq d
zipWith3' :: (a -> b -> c -> d) -> Seq a -> Seq b -> Seq c -> Seq d
zipWith3' f :: a -> b -> c -> d
f s1 :: Seq a
s1 s2 :: Seq b
s2 s3 :: Seq c
s3 = ((c -> d) -> c -> d) -> Seq (c -> d) -> Seq c -> Seq d
forall a b c. (a -> b -> c) -> Seq a -> Seq b -> Seq c
zipWith' (c -> d) -> c -> d
forall a b. (a -> b) -> a -> b
($) ((a -> b -> c -> d) -> Seq a -> Seq b -> Seq (c -> d)
forall a b c. (a -> b -> c) -> Seq a -> Seq b -> Seq c
zipWith' a -> b -> c -> d
f Seq a
s1 Seq b
s2) Seq c
s3

-- | \( O(\min(n_1,n_2,n_3,n_4)) \).  'zip4' takes four sequences and returns a
-- sequence of quadruples, analogous to 'zip'.
zip4 :: Seq a -> Seq b -> Seq c -> Seq d -> Seq (a,b,c,d)
zip4 :: Seq a -> Seq b -> Seq c -> Seq d -> Seq (a, b, c, d)
zip4 = (a -> b -> c -> d -> (a, b, c, d))
-> Seq a -> Seq b -> Seq c -> Seq d -> Seq (a, b, c, d)
forall a b c d e.
(a -> b -> c -> d -> e)
-> Seq a -> Seq b -> Seq c -> Seq d -> Seq e
zipWith4 (,,,)

-- | \( O(\min(n_1,n_2,n_3,n_4)) \).  'zipWith4' takes a function which combines
-- four elements, as well as four sequences and returns a sequence of
-- their point-wise combinations, analogous to 'zipWith'.
zipWith4 :: (a -> b -> c -> d -> e) -> Seq a -> Seq b -> Seq c -> Seq d -> Seq e
zipWith4 :: (a -> b -> c -> d -> e)
-> Seq a -> Seq b -> Seq c -> Seq d -> Seq e
zipWith4 f :: a -> b -> c -> d -> e
f s1 :: Seq a
s1 s2 :: Seq b
s2 s3 :: Seq c
s3 s4 :: Seq d
s4 = ((d -> e) -> d -> e) -> Seq (d -> e) -> Seq d -> Seq e
forall a b c. (a -> b -> c) -> Seq a -> Seq b -> Seq c
zipWith' (d -> e) -> d -> e
forall a b. (a -> b) -> a -> b
($) ((a -> b -> c -> d -> e) -> Seq a -> Seq b -> Seq c -> Seq (d -> e)
forall a b c d.
(a -> b -> c -> d) -> Seq a -> Seq b -> Seq c -> Seq d
zipWith3' a -> b -> c -> d -> e
f Seq a
s1' Seq b
s2' Seq c
s3') Seq d
s4'
  where
    minLen :: Int
minLen = [Int] -> Int
forall (t :: * -> *) a. (Foldable t, Ord a) => t a -> a
minimum [Seq a -> Int
forall a. Seq a -> Int
length Seq a
s1, Seq b -> Int
forall a. Seq a -> Int
length Seq b
s2, Seq c -> Int
forall a. Seq a -> Int
length Seq c
s3, Seq d -> Int
forall a. Seq a -> Int
length Seq d
s4]
    s1' :: Seq a
s1' = Int -> Seq a -> Seq a
forall a. Int -> Seq a -> Seq a
take Int
minLen Seq a
s1
    s2' :: Seq b
s2' = Int -> Seq b -> Seq b
forall a. Int -> Seq a -> Seq a
take Int
minLen Seq b
s2
    s3' :: Seq c
s3' = Int -> Seq c -> Seq c
forall a. Int -> Seq a -> Seq a
take Int
minLen Seq c
s3
    s4' :: Seq d
s4' = Int -> Seq d -> Seq d
forall a. Int -> Seq a -> Seq a
take Int
minLen Seq d
s4

-- | fromList2, given a list and its length, constructs a completely
-- balanced Seq whose elements are that list using the replicateA
-- generalization.
fromList2 :: Int -> [a] -> Seq a
fromList2 :: Int -> [a] -> Seq a
fromList2 n :: Int
n = State [a] (Seq a) -> [a] -> Seq a
forall s a. State s a -> s -> a
execState (Int -> State [a] a -> State [a] (Seq a)
forall (f :: * -> *) a. Applicative f => Int -> f a -> f (Seq a)
replicateA Int
n (([a] -> ([a], a)) -> State [a] a
forall s a. (s -> (s, a)) -> State s a
State [a] -> ([a], a)
forall b. [b] -> ([b], b)
ht))
  where
    ht :: [b] -> ([b], b)
ht (x :: b
x:xs :: [b]
xs) = ([b]
xs, b
x)
    ht []     = [Char] -> ([b], b)
forall a. HasCallStack => [Char] -> a
error "fromList2: short list"