{-# LANGUAGE BangPatterns, CPP, MagicHash, RankNTypes, ScopedTypeVariables,
    UnboxedTuples #-}
{-# LANGUAGE Trustworthy #-}

-- Module:      Data.Text.Lazy.Builder.Int
-- Copyright:   (c) 2013 Bryan O'Sullivan
--              (c) 2011 MailRank, Inc.
-- License:     BSD-style
-- Maintainer:  Bryan O'Sullivan <bos@serpentine.com>
-- Portability: portable
--
-- Efficiently write an integral value to a 'Builder'.

module Data.Text.Lazy.Builder.Int
    (
      decimal
    , hexadecimal
    ) where

import Data.Int (Int8, Int16, Int32, Int64)
import Data.Monoid (mempty)
import qualified Data.ByteString.Unsafe as B
import Data.Text.Internal.Builder.Functions ((<>), i2d)
import Data.Text.Internal.Builder
import Data.Text.Internal.Builder.Int.Digits (digits)
import Data.Text.Array
import Data.Word (Word, Word8, Word16, Word32, Word64)
import GHC.Base (quotInt, remInt)
import Control.Monad.ST
#if MIN_VERSION_base(4,11,0)
import Prelude hiding ((<>))
#endif

decimal :: Integral a => a -> Builder
{-# RULES "decimal/Int8" decimal = boundedDecimal :: Int8 -> Builder #-}
{-# RULES "decimal/Int" decimal = boundedDecimal :: Int -> Builder #-}
{-# RULES "decimal/Int16" decimal = boundedDecimal :: Int16 -> Builder #-}
{-# RULES "decimal/Int32" decimal = boundedDecimal :: Int32 -> Builder #-}
{-# RULES "decimal/Int64" decimal = boundedDecimal :: Int64 -> Builder #-}
{-# RULES "decimal/Word" decimal = positive :: Data.Word.Word -> Builder #-}
{-# RULES "decimal/Word8" decimal = positive :: Word8 -> Builder #-}
{-# RULES "decimal/Word16" decimal = positive :: Word16 -> Builder #-}
{-# RULES "decimal/Word32" decimal = positive :: Word32 -> Builder #-}
{-# RULES "decimal/Word64" decimal = positive :: Word64 -> Builder #-}
{-# RULES "decimal/Integer" decimal = integer 10 :: Integer -> Builder #-}
decimal :: forall a. Integral a => a -> Builder
decimal a
i = (a -> Bool) -> a -> Builder
forall a. Integral a => (a -> Bool) -> a -> Builder
decimal' (a -> a -> Bool
forall a. Ord a => a -> a -> Bool
<= -a
128) a
i
{-# NOINLINE decimal #-}

boundedDecimal :: (Integral a, Bounded a) => a -> Builder
{-# SPECIALIZE boundedDecimal :: Int -> Builder #-}
{-# SPECIALIZE boundedDecimal :: Int8 -> Builder #-}
{-# SPECIALIZE boundedDecimal :: Int16 -> Builder #-}
{-# SPECIALIZE boundedDecimal :: Int32 -> Builder #-}
{-# SPECIALIZE boundedDecimal :: Int64 -> Builder #-}
boundedDecimal :: forall a. (Integral a, Bounded a) => a -> Builder
boundedDecimal a
i = (a -> Bool) -> a -> Builder
forall a. Integral a => (a -> Bool) -> a -> Builder
decimal' (a -> a -> Bool
forall a. Eq a => a -> a -> Bool
== a
forall a. Bounded a => a
minBound) a
i

decimal' :: (Integral a) => (a -> Bool) -> a -> Builder
{-# INLINE decimal' #-}
decimal' :: forall a. Integral a => (a -> Bool) -> a -> Builder
decimal' a -> Bool
p a
i
    | a
i a -> a -> Bool
forall a. Ord a => a -> a -> Bool
< a
0 = if a -> Bool
p a
i
              then let (a
q, a
r) = a
i a -> a -> (a, a)
forall a. Integral a => a -> a -> (a, a)
`quotRem` a
10
                       qq :: a
qq = -a
q
                       !n :: Int
n = a -> Int
forall a. Integral a => a -> Int
countDigits a
qq
                   in Int -> (forall s. MArray s -> Int -> ST s ()) -> Builder
writeN (Int
n Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
2) ((forall s. MArray s -> Int -> ST s ()) -> Builder)
-> (forall s. MArray s -> Int -> ST s ()) -> Builder
forall a b. (a -> b) -> a -> b
$ \MArray s
marr Int
off -> do
                       MArray s -> Int -> Word8 -> ST s ()
forall s. MArray s -> Int -> Word8 -> ST s ()
unsafeWrite MArray s
marr Int
off Word8
minus
                       MArray s -> Int -> Int -> a -> ST s ()
forall a s. Integral a => MArray s -> Int -> Int -> a -> ST s ()
forall s. MArray s -> Int -> Int -> a -> ST s ()
posDecimal MArray s
marr (Int
offInt -> Int -> Int
forall a. Num a => a -> a -> a
+Int
1) Int
n a
qq
                       MArray s -> Int -> Word8 -> ST s ()
forall s. MArray s -> Int -> Word8 -> ST s ()
unsafeWrite MArray s
marr (Int
offInt -> Int -> Int
forall a. Num a => a -> a -> a
+Int
nInt -> Int -> Int
forall a. Num a => a -> a -> a
+Int
1) (a -> Word8
forall a. Integral a => a -> Word8
i2w (-a
r))
              else let j :: a
j = -a
i
                       !n :: Int
n = a -> Int
forall a. Integral a => a -> Int
countDigits a
j
                   in Int -> (forall s. MArray s -> Int -> ST s ()) -> Builder
writeN (Int
n Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
1) ((forall s. MArray s -> Int -> ST s ()) -> Builder)
-> (forall s. MArray s -> Int -> ST s ()) -> Builder
forall a b. (a -> b) -> a -> b
$ \MArray s
marr Int
off ->
                       MArray s -> Int -> Word8 -> ST s ()
forall s. MArray s -> Int -> Word8 -> ST s ()
unsafeWrite MArray s
marr Int
off Word8
minus ST s () -> ST s () -> ST s ()
forall a b. ST s a -> ST s b -> ST s b
forall (m :: * -> *) a b. Monad m => m a -> m b -> m b
>> MArray s -> Int -> Int -> a -> ST s ()
forall a s. Integral a => MArray s -> Int -> Int -> a -> ST s ()
forall s. MArray s -> Int -> Int -> a -> ST s ()
posDecimal MArray s
marr (Int
offInt -> Int -> Int
forall a. Num a => a -> a -> a
+Int
1) Int
n a
j
    | Bool
otherwise = a -> Builder
forall a. Integral a => a -> Builder
positive a
i

positive :: (Integral a) => a -> Builder
{-# SPECIALIZE positive :: Int -> Builder #-}
{-# SPECIALIZE positive :: Int8 -> Builder #-}
{-# SPECIALIZE positive :: Int16 -> Builder #-}
{-# SPECIALIZE positive :: Int32 -> Builder #-}
{-# SPECIALIZE positive :: Int64 -> Builder #-}
{-# SPECIALIZE positive :: Word -> Builder #-}
{-# SPECIALIZE positive :: Word8 -> Builder #-}
{-# SPECIALIZE positive :: Word16 -> Builder #-}
{-# SPECIALIZE positive :: Word32 -> Builder #-}
{-# SPECIALIZE positive :: Word64 -> Builder #-}
positive :: forall a. Integral a => a -> Builder
positive a
i
    | a
i a -> a -> Bool
forall a. Ord a => a -> a -> Bool
< a
10    = Int -> (forall s. MArray s -> Int -> ST s ()) -> Builder
writeN Int
1 ((forall s. MArray s -> Int -> ST s ()) -> Builder)
-> (forall s. MArray s -> Int -> ST s ()) -> Builder
forall a b. (a -> b) -> a -> b
$ \MArray s
marr Int
off -> MArray s -> Int -> Word8 -> ST s ()
forall s. MArray s -> Int -> Word8 -> ST s ()
unsafeWrite MArray s
marr Int
off (a -> Word8
forall a. Integral a => a -> Word8
i2w a
i)
    | Bool
otherwise = let !n :: Int
n = a -> Int
forall a. Integral a => a -> Int
countDigits a
i
                  in Int -> (forall s. MArray s -> Int -> ST s ()) -> Builder
writeN Int
n ((forall s. MArray s -> Int -> ST s ()) -> Builder)
-> (forall s. MArray s -> Int -> ST s ()) -> Builder
forall a b. (a -> b) -> a -> b
$ \MArray s
marr Int
off -> MArray s -> Int -> Int -> a -> ST s ()
forall a s. Integral a => MArray s -> Int -> Int -> a -> ST s ()
forall s. MArray s -> Int -> Int -> a -> ST s ()
posDecimal MArray s
marr Int
off Int
n a
i

posDecimal :: (Integral a) =>
              forall s. MArray s -> Int -> Int -> a -> ST s ()
{-# INLINE posDecimal #-}
posDecimal :: forall a s. Integral a => MArray s -> Int -> Int -> a -> ST s ()
posDecimal MArray s
marr Int
off0 Int
ds a
v0 = Int -> a -> ST s ()
forall {p}. Integral p => Int -> p -> ST s ()
go (Int
off0 Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
ds Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
1) a
v0
  where go :: Int -> p -> ST s ()
go Int
off p
v
           | p
v p -> p -> Bool
forall a. Ord a => a -> a -> Bool
>= p
100 = do
               let (p
q, p
r) = p
v p -> p -> (p, p)
forall a. Integral a => a -> a -> (a, a)
`quotRem` p
100
               Int -> p -> ST s ()
forall {p}. Integral p => Int -> p -> ST s ()
write2 Int
off p
r
               Int -> p -> ST s ()
go (Int
off Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
2) p
q
           | p
v p -> p -> Bool
forall a. Ord a => a -> a -> Bool
< p
10    = MArray s -> Int -> Word8 -> ST s ()
forall s. MArray s -> Int -> Word8 -> ST s ()
unsafeWrite MArray s
marr Int
off (p -> Word8
forall a. Integral a => a -> Word8
i2w p
v)
           | Bool
otherwise = Int -> p -> ST s ()
forall {p}. Integral p => Int -> p -> ST s ()
write2 Int
off p
v
        write2 :: Int -> p -> ST s ()
write2 Int
off p
i0 = do
          let i :: Int
i = p -> Int
forall a b. (Integral a, Num b) => a -> b
fromIntegral p
i0; j :: Int
j = Int
i Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
i
          MArray s -> Int -> Word8 -> ST s ()
forall s. MArray s -> Int -> Word8 -> ST s ()
unsafeWrite MArray s
marr Int
off (Word8 -> ST s ()) -> Word8 -> ST s ()
forall a b. (a -> b) -> a -> b
$ Int -> Word8
get (Int
j Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
1)
          MArray s -> Int -> Word8 -> ST s ()
forall s. MArray s -> Int -> Word8 -> ST s ()
unsafeWrite MArray s
marr (Int
off Int -> Int -> Int
forall a. Num a => a -> a -> a
- Int
1) (Word8 -> ST s ()) -> Word8 -> ST s ()
forall a b. (a -> b) -> a -> b
$ Int -> Word8
get Int
j
        get :: Int -> Word8
get = ByteString -> Int -> Word8
B.unsafeIndex ByteString
digits

minus, zero :: Word8
{-# INLINE minus #-}
{-# INLINE zero #-}
minus :: Word8
minus = Word8
45
zero :: Word8
zero = Word8
48

i2w :: (Integral a) => a -> Word8
{-# INLINE i2w #-}
i2w :: forall a. Integral a => a -> Word8
i2w a
v = Word8
zero Word8 -> Word8 -> Word8
forall a. Num a => a -> a -> a
+ a -> Word8
forall a b. (Integral a, Num b) => a -> b
fromIntegral a
v

countDigits :: (Integral a) => a -> Int
{-# INLINE countDigits #-}
countDigits :: forall a. Integral a => a -> Int
countDigits a
v0
  | Word64 -> a
forall a b. (Integral a, Num b) => a -> b
fromIntegral Word64
v64 a -> a -> Bool
forall a. Eq a => a -> a -> Bool
== a
v0 = Int -> Word64 -> Int
forall {t}. Num t => t -> Word64 -> t
go Int
1 Word64
v64
  | Bool
otherwise              = Int -> Integer -> Int
forall {t}. Num t => t -> Integer -> t
goBig Int
1 (a -> Integer
forall a. Integral a => a -> Integer
toInteger a
v0)
  where v64 :: Word64
v64 = a -> Word64
forall a b. (Integral a, Num b) => a -> b
fromIntegral a
v0
        goBig :: t -> Integer -> t
goBig !t
k (Integer
v :: Integer)
           | Integer
v Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
> Integer
big   = t -> Integer -> t
goBig (t
k t -> t -> t
forall a. Num a => a -> a -> a
+ t
19) (Integer
v Integer -> Integer -> Integer
forall a. Integral a => a -> a -> a
`quot` Integer
big)
           | Bool
otherwise = t -> Word64 -> t
forall {t}. Num t => t -> Word64 -> t
go t
k (Integer -> Word64
forall a. Num a => Integer -> a
fromInteger Integer
v)
        big :: Integer
big = Integer
10000000000000000000
        go :: t -> Word64 -> t
go !t
k (Word64
v :: Word64)
           | Word64
v Word64 -> Word64 -> Bool
forall a. Ord a => a -> a -> Bool
< Word64
10    = t
k
           | Word64
v Word64 -> Word64 -> Bool
forall a. Ord a => a -> a -> Bool
< Word64
100   = t
k t -> t -> t
forall a. Num a => a -> a -> a
+ t
1
           | Word64
v Word64 -> Word64 -> Bool
forall a. Ord a => a -> a -> Bool
< Word64
1000  = t
k t -> t -> t
forall a. Num a => a -> a -> a
+ t
2
           | Word64
v Word64 -> Word64 -> Bool
forall a. Ord a => a -> a -> Bool
< Word64
1000000000000 =
               t
k t -> t -> t
forall a. Num a => a -> a -> a
+ if Word64
v Word64 -> Word64 -> Bool
forall a. Ord a => a -> a -> Bool
< Word64
100000000
                   then if Word64
v Word64 -> Word64 -> Bool
forall a. Ord a => a -> a -> Bool
< Word64
1000000
                        then if Word64
v Word64 -> Word64 -> Bool
forall a. Ord a => a -> a -> Bool
< Word64
10000
                             then t
3
                             else t
4 t -> t -> t
forall a. Num a => a -> a -> a
+ Word64 -> Word64 -> t
forall {a} {a}. (Ord a, Num a) => a -> a -> a
fin Word64
v Word64
100000
                        else t
6 t -> t -> t
forall a. Num a => a -> a -> a
+ Word64 -> Word64 -> t
forall {a} {a}. (Ord a, Num a) => a -> a -> a
fin Word64
v Word64
10000000
                   else if Word64
v Word64 -> Word64 -> Bool
forall a. Ord a => a -> a -> Bool
< Word64
10000000000
                        then t
8 t -> t -> t
forall a. Num a => a -> a -> a
+ Word64 -> Word64 -> t
forall {a} {a}. (Ord a, Num a) => a -> a -> a
fin Word64
v Word64
1000000000
                        else t
10 t -> t -> t
forall a. Num a => a -> a -> a
+ Word64 -> Word64 -> t
forall {a} {a}. (Ord a, Num a) => a -> a -> a
fin Word64
v Word64
100000000000
           | Bool
otherwise = t -> Word64 -> t
go (t
k t -> t -> t
forall a. Num a => a -> a -> a
+ t
12) (Word64
v Word64 -> Word64 -> Word64
forall a. Integral a => a -> a -> a
`quot` Word64
1000000000000)
        fin :: a -> a -> a
fin a
v a
n = if a
v a -> a -> Bool
forall a. Ord a => a -> a -> Bool
>= a
n then a
1 else a
0

hexadecimal :: Integral a => a -> Builder
{-# SPECIALIZE hexadecimal :: Int -> Builder #-}
{-# SPECIALIZE hexadecimal :: Int8 -> Builder #-}
{-# SPECIALIZE hexadecimal :: Int16 -> Builder #-}
{-# SPECIALIZE hexadecimal :: Int32 -> Builder #-}
{-# SPECIALIZE hexadecimal :: Int64 -> Builder #-}
{-# SPECIALIZE hexadecimal :: Word -> Builder #-}
{-# SPECIALIZE hexadecimal :: Word8 -> Builder #-}
{-# SPECIALIZE hexadecimal :: Word16 -> Builder #-}
{-# SPECIALIZE hexadecimal :: Word32 -> Builder #-}
{-# SPECIALIZE hexadecimal :: Word64 -> Builder #-}
{-# RULES "hexadecimal/Integer"
    hexadecimal = hexInteger :: Integer -> Builder #-}
hexadecimal :: forall a. Integral a => a -> Builder
hexadecimal a
i
    | a
i a -> a -> Bool
forall a. Ord a => a -> a -> Bool
< a
0     = [Char] -> Builder
forall a. HasCallStack => [Char] -> a
error [Char]
hexErrMsg
    | Bool
otherwise = a -> Builder
forall a. Integral a => a -> Builder
go a
i
  where
    go :: a -> Builder
go a
n | a
n a -> a -> Bool
forall a. Ord a => a -> a -> Bool
< a
16    = a -> Builder
forall a. Integral a => a -> Builder
hexDigit a
n
         | Bool
otherwise = a -> Builder
go (a
n a -> a -> a
forall a. Integral a => a -> a -> a
`quot` a
16) Builder -> Builder -> Builder
<> a -> Builder
forall a. Integral a => a -> Builder
hexDigit (a
n a -> a -> a
forall a. Integral a => a -> a -> a
`rem` a
16)
{-# NOINLINE[0] hexadecimal #-}

hexInteger :: Integer -> Builder
hexInteger :: Integer -> Builder
hexInteger Integer
i
    | Integer
i Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
< Integer
0     = [Char] -> Builder
forall a. HasCallStack => [Char] -> a
error [Char]
hexErrMsg
    | Bool
otherwise = Int -> Integer -> Builder
integer Int
16 Integer
i

hexErrMsg :: String
hexErrMsg :: [Char]
hexErrMsg = [Char]
"Data.Text.Lazy.Builder.Int.hexadecimal: applied to negative number"

hexDigit :: Integral a => a -> Builder
hexDigit :: forall a. Integral a => a -> Builder
hexDigit a
n
    | a
n a -> a -> Bool
forall a. Ord a => a -> a -> Bool
<= a
9    = Char -> Builder
singleton (Char -> Builder) -> Char -> Builder
forall a b. (a -> b) -> a -> b
$! Int -> Char
i2d (a -> Int
forall a b. (Integral a, Num b) => a -> b
fromIntegral a
n)
    | Bool
otherwise = Char -> Builder
singleton (Char -> Builder) -> Char -> Builder
forall a b. (a -> b) -> a -> b
$! Int -> Char
forall a. Enum a => Int -> a
toEnum (a -> Int
forall a b. (Integral a, Num b) => a -> b
fromIntegral a
n Int -> Int -> Int
forall a. Num a => a -> a -> a
+ Int
87)
{-# INLINE hexDigit #-}

data T = T !Integer !Int

integer :: Int -> Integer -> Builder
integer :: Int -> Integer -> Builder
integer Int
10 Integer
i
    | Int
i' <- Integer -> Int
forall a. Num a => Integer -> a
fromInteger Integer
i, Int -> Integer
forall a. Integral a => a -> Integer
toInteger Int
i' Integer -> Integer -> Bool
forall a. Eq a => a -> a -> Bool
== Integer
i = Int -> Builder
forall a. Integral a => a -> Builder
decimal (Int
i' :: Int)
integer Int
16 Integer
i
    | Int
i' <- Integer -> Int
forall a. Num a => Integer -> a
fromInteger Integer
i, Int -> Integer
forall a. Integral a => a -> Integer
toInteger Int
i' Integer -> Integer -> Bool
forall a. Eq a => a -> a -> Bool
== Integer
i = Int -> Builder
forall a. Integral a => a -> Builder
hexadecimal (Int
i' :: Int)
integer Int
base Integer
i
    | Integer
i Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
< Integer
0     = Char -> Builder
singleton Char
'-' Builder -> Builder -> Builder
<> Integer -> Builder
go (-Integer
i)
    | Bool
otherwise = Integer -> Builder
go Integer
i
  where
    go :: Integer -> Builder
go Integer
n | Integer
n Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
< Integer
maxInt = Int -> Builder
int (Integer -> Int
forall a. Num a => Integer -> a
fromInteger Integer
n)
         | Bool
otherwise  = [Integer] -> Builder
putH (Integer -> Integer -> [Integer]
forall {t}. Integral t => t -> t -> [t]
splitf (Integer
maxInt Integer -> Integer -> Integer
forall a. Num a => a -> a -> a
* Integer
maxInt) Integer
n)

    splitf :: t -> t -> [t]
splitf t
p t
n
      | t
p t -> t -> Bool
forall a. Ord a => a -> a -> Bool
> t
n       = [t
n]
      | Bool
otherwise   = t -> [t] -> [t]
forall {a}. Integral a => a -> [a] -> [a]
splith t
p (t -> t -> [t]
splitf (t
pt -> t -> t
forall a. Num a => a -> a -> a
*t
p) t
n)

    splith :: a -> [a] -> [a]
splith a
p (a
n:[a]
ns) = case a
n a -> a -> (a, a)
forall a. Integral a => a -> a -> (a, a)
`quotRem` a
p of
                        (a
q, a
r) | a
q a -> a -> Bool
forall a. Ord a => a -> a -> Bool
> a
0     -> a
q a -> [a] -> [a]
forall a. a -> [a] -> [a]
: a
r a -> [a] -> [a]
forall a. a -> [a] -> [a]
: a -> [a] -> [a]
forall {a}. Integral a => a -> [a] -> [a]
splitb a
p [a]
ns
                               | Bool
otherwise -> a
r a -> [a] -> [a]
forall a. a -> [a] -> [a]
: a -> [a] -> [a]
forall {a}. Integral a => a -> [a] -> [a]
splitb a
p [a]
ns
    splith a
_ [a]
_      = [Char] -> [a]
forall a. HasCallStack => [Char] -> a
error [Char]
"splith: the impossible happened."

    splitb :: t -> [t] -> [t]
splitb t
p (t
n:[t]
ns) = case t
n t -> t -> (t, t)
forall a. Integral a => a -> a -> (a, a)
`quotRem` t
p of
                        (t
q, t
r) -> t
q t -> [t] -> [t]
forall a. a -> [a] -> [a]
: t
r t -> [t] -> [t]
forall a. a -> [a] -> [a]
: t -> [t] -> [t]
splitb t
p [t]
ns
    splitb t
_ [t]
_      = []

    T Integer
maxInt10 Int
maxDigits10 =
        (T -> Bool) -> (T -> T) -> T -> T
forall a. (a -> Bool) -> (a -> a) -> a -> a
until ((Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
>Integer
mi) (Integer -> Bool) -> (T -> Integer) -> T -> Bool
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (Integer -> Integer -> Integer
forall a. Num a => a -> a -> a
*Integer
10) (Integer -> Integer) -> (T -> Integer) -> T -> Integer
forall b c a. (b -> c) -> (a -> b) -> a -> c
. T -> Integer
fstT) (\(T Integer
n Int
d) -> Integer -> Int -> T
T (Integer
nInteger -> Integer -> Integer
forall a. Num a => a -> a -> a
*Integer
10) (Int
dInt -> Int -> Int
forall a. Num a => a -> a -> a
+Int
1)) (Integer -> Int -> T
T Integer
10 Int
1)
      where mi :: Integer
mi = Int -> Integer
forall a. Integral a => a -> Integer
toInteger (Int
forall a. Bounded a => a
maxBound :: Int)
    T Integer
maxInt16 Int
maxDigits16 =
        (T -> Bool) -> (T -> T) -> T -> T
forall a. (a -> Bool) -> (a -> a) -> a -> a
until ((Integer -> Integer -> Bool
forall a. Ord a => a -> a -> Bool
>Integer
mi) (Integer -> Bool) -> (T -> Integer) -> T -> Bool
forall b c a. (b -> c) -> (a -> b) -> a -> c
. (Integer -> Integer -> Integer
forall a. Num a => a -> a -> a
*Integer
16) (Integer -> Integer) -> (T -> Integer) -> T -> Integer
forall b c a. (b -> c) -> (a -> b) -> a -> c
. T -> Integer
fstT) (\(T Integer
n Int
d) -> Integer -> Int -> T
T (Integer
nInteger -> Integer -> Integer
forall a. Num a => a -> a -> a
*Integer
16) (Int
dInt -> Int -> Int
forall a. Num a => a -> a -> a
+Int
1)) (Integer -> Int -> T
T Integer
16 Int
1)
      where mi :: Integer
mi = Int -> Integer
forall a. Integral a => a -> Integer
toInteger (Int
forall a. Bounded a => a
maxBound :: Int)

    fstT :: T -> Integer
fstT (T Integer
a Int
_) = Integer
a

    maxInt :: Integer
maxInt | Int
base Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== Int
10 = Integer
maxInt10
           | Bool
otherwise  = Integer
maxInt16
    maxDigits :: Int
maxDigits | Int
base Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== Int
10 = Int
maxDigits10
              | Bool
otherwise  = Int
maxDigits16

    putH :: [Integer] -> Builder
putH (Integer
n:[Integer]
ns) = case Integer
n Integer -> Integer -> (Integer, Integer)
forall a. Integral a => a -> a -> (a, a)
`quotRem` Integer
maxInt of
                    (Integer
x, Integer
y)
                        | Int
q Int -> Int -> Bool
forall a. Ord a => a -> a -> Bool
> Int
0     -> Int -> Builder
int Int
q Builder -> Builder -> Builder
<> Int -> Builder
pblock Int
r Builder -> Builder -> Builder
<> [Integer] -> Builder
putB [Integer]
ns
                        | Bool
otherwise -> Int -> Builder
int Int
r Builder -> Builder -> Builder
<> [Integer] -> Builder
putB [Integer]
ns
                        where q :: Int
q = Integer -> Int
forall a. Num a => Integer -> a
fromInteger Integer
x
                              r :: Int
r = Integer -> Int
forall a. Num a => Integer -> a
fromInteger Integer
y
    putH [Integer]
_ = [Char] -> Builder
forall a. HasCallStack => [Char] -> a
error [Char]
"putH: the impossible happened"

    putB :: [Integer] -> Builder
putB (Integer
n:[Integer]
ns) = case Integer
n Integer -> Integer -> (Integer, Integer)
forall a. Integral a => a -> a -> (a, a)
`quotRem` Integer
maxInt of
                    (Integer
x, Integer
y) -> Int -> Builder
pblock Int
q Builder -> Builder -> Builder
<> Int -> Builder
pblock Int
r Builder -> Builder -> Builder
<> [Integer] -> Builder
putB [Integer]
ns
                        where q :: Int
q = Integer -> Int
forall a. Num a => Integer -> a
fromInteger Integer
x
                              r :: Int
r = Integer -> Int
forall a. Num a => Integer -> a
fromInteger Integer
y
    putB [Integer]
_ = Builder
forall a. Monoid a => a
Data.Monoid.mempty

    int :: Int -> Builder
    int :: Int -> Builder
int Int
x | Int
base Int -> Int -> Bool
forall a. Eq a => a -> a -> Bool
== Int
10 = Int -> Builder
forall a. Integral a => a -> Builder
decimal Int
x
          | Bool
otherwise  = Int -> Builder
forall a. Integral a => a -> Builder
hexadecimal Int
x

    pblock :: Int -> Builder
pblock = Int -> Int -> Builder
forall {t}. (Eq t, Num t) => t -> Int -> Builder
loop Int
maxDigits
      where
        loop :: t -> Int -> Builder
loop !t
d !Int
n
            | t
d t -> t -> Bool
forall a. Eq a => a -> a -> Bool
== t
1    = Int -> Builder
forall a. Integral a => a -> Builder
hexDigit Int
n
            | Bool
otherwise = t -> Int -> Builder
loop (t
dt -> t -> t
forall a. Num a => a -> a -> a
-t
1) Int
q Builder -> Builder -> Builder
<> Int -> Builder
forall a. Integral a => a -> Builder
hexDigit Int
r
            where q :: Int
q = Int
n Int -> Int -> Int
`quotInt` Int
base
                  r :: Int
r = Int
n Int -> Int -> Int
`remInt` Int
base