@@ -23,6 +23,7 @@ import Data.Aeson.Parser (scientific)
2323import qualified Data.Attoparsec.ByteString.Lazy as AttoL
2424import qualified Data.Attoparsec.ByteString.Char8 as Atto8
2525import qualified Data.Aeson as A
26+import qualified Data.ByteString as BS
2627import qualified Data.ByteString.Lazy as LBS
2728import qualified Data.ByteString.Lazy.Char8 as LBS8
2829
@@ -35,9 +36,8 @@ decodeString = A.decode
3536decodeScientific :: LBS.ByteString -> Maybe Scientific
3637decodeScientific = A.decode
3738
38−decodeRaw :: LBS.ByteString -> Integer
39−decodeRaw = LBS.foldl' step 0 where
40− step a b = a * 10 + fromIntegral (b - 48) -- 48 = '0'
39+decodeViaRead :: LBS.ByteString -> Integer
40+decodeViaRead = read . LBS8.unpack
4141
4242decodeAtto :: LBS.ByteString -> Maybe Scientific
4343decodeAtto
@@ -102,9 +102,63 @@ main = defaultMain
102102 where
103103 benchPair name input = bgroup name
104104 [ bench "Int" $ whnf decodeInt input
105− , bench "RawFold" $ whnf decodeRaw input
105+ , bench "Simple" $ whnf bsToIntegerSimple (LBS.toStrict input)
106+ , bench "Optim" $ whnf bsToInteger (LBS.toStrict input)
107+ , bench "Read" $ whnf decodeViaRead input
106108 , bench "Scientific" $ whnf decodeScientific input
107109 , bench "parserA" $ whnf decodeAtto input
108110 , bench "parserS" $ whnf decodeAtto8 input
109111 , bench "String" $ whnf decodeString $ "\"" <> input <> "\""
110112 ]
113+
114+-------------------------------------------------------------------------------
115+-- better fromInteger
116+-------------------------------------------------------------------------------
117+
118+bsToInteger :: BS.ByteString -> Integer
119+bsToInteger bs
120+ | l > 40 = valInteger 10 l [ fromIntegral (w - 48) | w <- BS.unpack bs ]
121+ | otherwise = bsToIntegerSimple bs
122+ where
123+ l = BS.length bs
124+
125+bsToIntegerSimple :: BS.ByteString -> Integer
126+bsToIntegerSimple = BS.foldl' step 0 where
127+ step a b = a * 10 + fromIntegral (b - 48) -- 48 = '0'
128+
129+-- A sub-quadratic algorithm for Integer. Pairs of adjacent radix b
130+-- digits are combined into a single radix b^2 digit. This process is
131+-- repeated until we are left with a single digit. This algorithm
132+-- performs well only on large inputs, so we use the simple algorithm
133+-- for smaller inputs.
134+valInteger :: Integer -> Int -> [Integer] -> Integer
135+valInteger = go
136+ where
137+ go :: Integer -> Int -> [Integer] -> Integer
138+ go _ _ [] = 0
139+ go _ _ [d] = d
140+ go b l ds
141+ | l > 40 = b' `seq` go b' l' (combine b ds')
142+ | otherwise = valSimple b ds
143+ where
144+ -- ensure that we have an even number of digits
145+ -- before we call combine:
146+ ds' = if even l then ds else 0 : ds
147+ b' = b * b
148+ l' = (l + 1) `quot` 2
149+
150+ combine b (d1 : d2 : ds) = d `seq` (d : combine b ds)
151+ where
152+ d = d1 * b + d2
153+ combine _ [] = []
154+ combine _ [_] = errorWithoutStackTrace "this should not happen"
155+
156+-- The following algorithm is only linear for types whose Num operations
157+-- are in constant time.
158+valSimple :: Integer -> [Integer] -> Integer
159+valSimple base = go 0
160+ where
161+ go r [] = r
162+ go r (d : ds) = r' `seq` go r' ds
163+ where
164+ r' = r * base + fromIntegral d