{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE TypeFamilies #-}
{-# LANGUAGE CPP #-}
module Codec.Picture.Jpg.Types( MutableMacroBlock
, createEmptyMutableMacroBlock
, printMacroBlock
, printPureMacroBlock
, DcCoefficient
, JpgImage( .. )
, JpgComponent( .. )
, JpgFrameHeader( .. )
, JpgFrame( .. )
, JpgFrameKind( .. )
, JpgScanHeader( .. )
, JpgQuantTableSpec( .. )
, JpgHuffmanTableSpec( .. )
, JpgImageKind( .. )
, JpgScanSpecification( .. )
, JpgColorSpace( .. )
, AdobeTransform( .. )
, JpgAdobeApp14( .. )
, JpgJFIFApp0( .. )
, JFifUnit( .. )
, calculateSize
, dctBlockSize
) where
#if !MIN_VERSION_base(4,8,0)
import Control.Applicative( pure, (<*>), (<$>) )
#endif
import Control.Monad( when, replicateM, forM, forM_, unless )
import Control.Monad.ST( ST )
import Data.Bits( (.|.), (.&.), unsafeShiftL, unsafeShiftR )
import Data.List( partition )
import Data.Monoid( (<>) )
import Foreign.Storable ( Storable )
import Data.Vector.Unboxed( (!) )
import qualified Data.Vector as V
import qualified Data.Vector.Unboxed as VU
import qualified Data.Vector.Storable as VS
import qualified Data.Vector.Storable.Mutable as M
import qualified Data.ByteString as B
import qualified Data.ByteString.Char8 as BC
import qualified Data.ByteString.Lazy as L
import Data.Int( Int16 )
import Data.Word(Word8, Word16 )
import Data.Binary( Binary(..) )
import Data.Binary.Get( Get
, getWord8
, getWord16be
, getByteString
, skip
, bytesRead
)
import Data.Binary.Put( Put
, putWord8
, putWord16be
, putLazyByteString
, putByteString
, runPut
)
import Codec.Picture.InternalHelper
import Codec.Picture.Jpg.DefaultTable
import Codec.Picture.Tiff.Types
import Codec.Picture.Tiff.Metadata( exifOffsetIfd )
import Codec.Picture.Metadata.Exif
import Text.Printf
type DcCoefficient = Int16
type MutableMacroBlock s a = M.STVector s a
data JpgFrameKind =
JpgBaselineDCTHuffman
| JpgExtendedSequentialDCTHuffman
| JpgProgressiveDCTHuffman
| JpgLosslessHuffman
| JpgDifferentialSequentialDCTHuffman
| JpgDifferentialProgressiveDCTHuffman
| JpgDifferentialLosslessHuffman
| JpgExtendedSequentialArithmetic
| JpgProgressiveDCTArithmetic
| JpgLosslessArithmetic
| JpgDifferentialSequentialDCTArithmetic
| JpgDifferentialProgressiveDCTArithmetic
| JpgDifferentialLosslessArithmetic
| JpgQuantizationTable
| JpgHuffmanTableMarker
| JpgStartOfScan
| JpgEndOfImage
| JpgAppSegment Word8
| JpgExtensionSegment Word8
| JpgRestartInterval
| JpgRestartIntervalEnd Word8
deriving (Eq, Show)
data JpgFrame =
JpgAppFrame !Word8 B.ByteString
| JpgAdobeAPP14 !JpgAdobeApp14
| JpgJFIF !JpgJFIFApp0
| JpgExif ![ImageFileDirectory]
| JpgExtension !Word8 B.ByteString
| JpgQuantTable ![JpgQuantTableSpec]
| JpgHuffmanTable ![(JpgHuffmanTableSpec, HuffmanPackedTree)]
| JpgScanBlob !JpgScanHeader !L.ByteString
| JpgScans !JpgFrameKind !JpgFrameHeader
| JpgIntervalRestart !Word16
deriving Show
data JpgColorSpace
= JpgColorSpaceYCbCr
| JpgColorSpaceYCC
| JpgColorSpaceY
| JpgColorSpaceYA
| JpgColorSpaceYCCA
| JpgColorSpaceYCCK
| JpgColorSpaceCMYK
| JpgColorSpaceRGB
| JpgColorSpaceRGBA
deriving Show
data AdobeTransform
= AdobeUnknown
| AdobeYCbCr
| AdobeYCck
deriving Show
data JpgAdobeApp14 = JpgAdobeApp14
{ _adobeDctVersion :: !Word16
, _adobeFlag0 :: !Word16
, _adobeFlag1 :: !Word16
, _adobeTransform :: !AdobeTransform
}
deriving Show
data JFifUnit
= JFifUnitUnknown
| JFifPixelsPerInch
| JFifPixelsPerCentimeter
deriving Show
instance Binary JFifUnit where
put v = putWord8 $ case v of
JFifUnitUnknown -> 0
JFifPixelsPerInch -> 1
JFifPixelsPerCentimeter -> 2
get = do
v <- getWord8
pure $ case v of
0 -> JFifUnitUnknown
1 -> JFifPixelsPerInch
2 -> JFifPixelsPerCentimeter
_ -> JFifUnitUnknown
data JpgJFIFApp0 = JpgJFIFApp0
{ _jfifUnit :: !JFifUnit
, _jfifDpiX :: !Word16
, _jfifDpiY :: !Word16
, _jfifThumbnail :: !(Maybe Int)
}
deriving Show
instance Binary JpgJFIFApp0 where
get = do
sig <- getByteString 5
when (sig /= BC.pack "JFIF\0") $
fail "Invalid JFIF signature"
major <- getWord8
minor <- getWord8
when (major /= 1 && minor > 2) $
fail "Unrecognize JFIF version"
unit <- get
dpiX <- getWord16be
dpiY <- getWord16be
w <- getWord8
h <- getWord8
let pxCount = 3 * w * h
img <- case pxCount of
0 -> return Nothing
_ -> return Nothing
return $ JpgJFIFApp0
{ _jfifUnit = unit
, _jfifDpiX = dpiX
, _jfifDpiY = dpiY
, _jfifThumbnail = img
}
put jfif = do
putByteString $ BC.pack "JFIF\0"
putWord8 1
putWord8 2
put $ _jfifUnit jfif
putWord16be $ _jfifDpiX jfif
putWord16be $ _jfifDpiY jfif
putWord8 0
putWord8 0
instance Binary AdobeTransform where
put v = case v of
AdobeUnknown -> putWord8 0
AdobeYCbCr -> putWord8 1
AdobeYCck -> putWord8 2
get = do
v <- getWord8
pure $ case v of
0 -> AdobeUnknown
1 -> AdobeYCbCr
2 -> AdobeYCck
_ -> AdobeUnknown
instance Binary JpgAdobeApp14 where
get = do
let sig = BC.pack "Adobe"
fileSig <- getByteString 5
when (fileSig /= sig) $
fail "Invalid Adobe APP14 marker"
version <- getWord16be
when (version /= 100) $
fail $ "Invalid Adobe APP14 version " ++ show version
JpgAdobeApp14 version
<$> getWord16be
<*> getWord16be <*> get
put (JpgAdobeApp14 v f0 f1 t) = do
putByteString $ BC.pack "Adobe"
putWord16be v
putWord16be f0
putWord16be f1
put t
data JpgFrameHeader = JpgFrameHeader
{ jpgFrameHeaderLength :: !Word16
, jpgSamplePrecision :: !Word8
, jpgHeight :: !Word16
, jpgWidth :: !Word16
, jpgImageComponentCount :: !Word8
, jpgComponents :: ![JpgComponent]
}
deriving Show
instance SizeCalculable JpgFrameHeader where
calculateSize hdr = 2 + 1 + 2 + 2 + 1
+ sum [calculateSize c | c <- jpgComponents hdr]
data JpgComponent = JpgComponent
{ componentIdentifier :: !Word8
, horizontalSamplingFactor :: !Word8
, verticalSamplingFactor :: !Word8
, quantizationTableDest :: !Word8
}
deriving Show
instance SizeCalculable JpgComponent where
calculateSize _ = 3
data JpgImage = JpgImage { jpgFrame :: [JpgFrame] }
deriving Show
data JpgScanSpecification = JpgScanSpecification
{ componentSelector :: !Word8
, dcEntropyCodingTable :: !Word8
, acEntropyCodingTable :: !Word8
}
deriving Show
instance SizeCalculable JpgScanSpecification where
calculateSize _ = 2
data JpgScanHeader = JpgScanHeader
{ scanLength :: !Word16
, scanComponentCount :: !Word8
, scans :: [JpgScanSpecification]
, spectralSelection :: (Word8, Word8)
, successiveApproxHigh :: !Word8
, successiveApproxLow :: !Word8
}
deriving Show
instance SizeCalculable JpgScanHeader where
calculateSize hdr = 2 + 1
+ sum [calculateSize c | c <- scans hdr]
+ 2
+ 1
data JpgQuantTableSpec = JpgQuantTableSpec
{
quantPrecision :: !Word8
, quantDestination :: !Word8
, quantTable :: MacroBlock Int16
}
deriving Show
class SizeCalculable a where
calculateSize :: a -> Int
newtype TableList a = TableList [a]
instance (SizeCalculable a, Binary a) => Binary (TableList a) where
put (TableList lst) = do
putWord16be . fromIntegral $ sum [calculateSize table | table <- lst] + 2
mapM_ put lst
get = TableList <$> (getWord16be >>= \s -> innerParse (fromIntegral s - 2))
where innerParse :: Int -> Get [a]
innerParse 0 = return []
innerParse size = do
onStart <- fromIntegral <$> bytesRead
table <- get
onEnd <- fromIntegral <$> bytesRead
(table :) <$> innerParse (size - (onEnd - onStart))
instance SizeCalculable JpgQuantTableSpec where
calculateSize table =
1 + (fromIntegral (quantPrecision table) + 1) * 64
instance Binary JpgQuantTableSpec where
put table = do
let precision = quantPrecision table
put4BitsOfEach precision (quantDestination table)
forM_ (VS.toList $ quantTable table) $ \coeff ->
if precision == 0 then putWord8 $ fromIntegral coeff
else putWord16be $ fromIntegral coeff
get = do
(precision, dest) <- get4BitOfEach
coeffs <- replicateM 64 $ if precision == 0
then fromIntegral <$> getWord8
else fromIntegral <$> getWord16be
return JpgQuantTableSpec
{ quantPrecision = precision
, quantDestination = dest
, quantTable = VS.fromListN 64 coeffs
}
data JpgHuffmanTableSpec = JpgHuffmanTableSpec
{
huffmanTableClass :: !DctComponent
, huffmanTableDest :: !Word8
, huffSizes :: !(VU.Vector Word8)
, huffCodes :: !(V.Vector (VU.Vector Word8))
}
deriving Show
instance SizeCalculable JpgHuffmanTableSpec where
calculateSize table = 1 + 16 + sum [fromIntegral e | e <- VU.toList $ huffSizes table]
instance Binary JpgHuffmanTableSpec where
put table = do
let classVal = if huffmanTableClass table == DcComponent
then 0 else 1
put4BitsOfEach classVal $ huffmanTableDest table
mapM_ put . VU.toList $ huffSizes table
forM_ [0 .. 15] $ \i ->
when (huffSizes table ! i /= 0)
(let elements = VU.toList $ huffCodes table V.! i
in mapM_ put elements)
get = do
(huffClass, huffDest) <- get4BitOfEach
sizes <- replicateM 16 getWord8
codes <- forM sizes $ \s ->
VU.replicateM (fromIntegral s) getWord8
return JpgHuffmanTableSpec
{ huffmanTableClass =
if huffClass == 0 then DcComponent else AcComponent
, huffmanTableDest = huffDest
, huffSizes = VU.fromListN 16 sizes
, huffCodes = V.fromListN 16 codes
}
instance Binary JpgImage where
put (JpgImage { jpgFrame = frames }) =
putWord8 0xFF >> putWord8 0xD8 >> mapM_ putFrame frames
>> putWord8 0xFF >> putWord8 0xD9
get = do
let startOfImageMarker = 0xD8
checkMarker commonMarkerFirstByte startOfImageMarker
eatUntilCode
frames <- parseFrames
return JpgImage { jpgFrame = frames }
eatUntilCode :: Get ()
eatUntilCode = do
code <- getWord8
unless (code == 0xFF) eatUntilCode
takeCurrentFrame :: Get B.ByteString
takeCurrentFrame = do
size <- getWord16be
getByteString (fromIntegral size - 2)
putFrame :: JpgFrame -> Put
putFrame (JpgAdobeAPP14 adobe) =
put (JpgAppSegment 14) >> putWord16be 14 >> put adobe
putFrame (JpgJFIF jfif) =
put (JpgAppSegment 0) >> putWord16be (14+2) >> put jfif
putFrame (JpgExif exif) = putExif exif
putFrame (JpgAppFrame appCode str) =
put (JpgAppSegment appCode) >> putWord16be (fromIntegral $ B.length str) >> put str
putFrame (JpgExtension appCode str) =
put (JpgExtensionSegment appCode) >> putWord16be (fromIntegral $ B.length str) >> put str
putFrame (JpgQuantTable tables) =
put JpgQuantizationTable >> put (TableList tables)
putFrame (JpgHuffmanTable tables) =
put JpgHuffmanTableMarker >> put (TableList $ map fst tables)
putFrame (JpgIntervalRestart size) =
put JpgRestartInterval >> put (RestartInterval size)
putFrame (JpgScanBlob hdr blob) =
put JpgStartOfScan >> put hdr >> putLazyByteString blob
putFrame (JpgScans kind hdr) =
put kind >> put hdr
commonMarkerFirstByte :: Word8
commonMarkerFirstByte = 0xFF
checkMarker :: Word8 -> Word8 -> Get ()
checkMarker b1 b2 = do
rb1 <- getWord8
rb2 <- getWord8
when (rb1 /= b1 || rb2 /= b2)
(fail "Invalid marker used")
extractScanContent :: L.ByteString -> (L.ByteString, L.ByteString)
extractScanContent str = aux 0
where maxi = fromIntegral $ L.length str - 1
aux n | n >= maxi = (str, L.empty)
| v == 0xFF && vNext /= 0 && not isReset = L.splitAt n str
| otherwise = aux (n + 1)
where v = str `L.index` n
vNext = str `L.index` (n + 1)
isReset = 0xD0 <= vNext && vNext <= 0xD7
parseAdobe14 :: B.ByteString -> [JpgFrame] -> [JpgFrame]
parseAdobe14 str lst = go where
go = case runGetStrict get str of
Left _err -> lst
Right app14 -> JpgAdobeAPP14 app14 : lst
parseJF__ :: B.ByteString -> [JpgFrame] -> [JpgFrame]
parseJF__ str lst = go where
go = case runGetStrict get str of
Left _err -> lst
Right jfif -> JpgJFIF jfif : lst
parseExif :: B.ByteString -> [JpgFrame] -> [JpgFrame]
parseExif str lst
| exifHeader `B.isPrefixOf` str = go
| otherwise = lst
where
exifHeader = BC.pack "Exif\0\0"
tiff = B.drop (B.length exifHeader) str
go = case runGetStrict (getP tiff) tiff of
Left _err -> lst
Right (_hdr :: TiffHeader, []) -> lst
Right (_hdr :: TiffHeader, ifds : _) -> JpgExif ifds : lst
putExif :: [ImageFileDirectory] -> Put
putExif ifds = putAll where
hdr = TiffHeader
{ hdrEndianness = EndianBig
, hdrOffset = 8
}
ifdList = case partition (isInIFD0 . ifdIdentifier) ifds of
(ifd0, []) -> [ifd0]
(ifd0, ifdExif) -> [ifd0 <> pure exifOffsetIfd, ifdExif]
exifBlob = runPut $ do
putByteString $ BC.pack "Exif\0\0"
putP BC.empty (hdr, ifdList)
putAll = do
put (JpgAppSegment 1)
putWord16be . fromIntegral $ L.length exifBlob + 2
putLazyByteString exifBlob
parseFrames :: Get [JpgFrame]
parseFrames = do
kind <- get
let parseNextFrame = do
word <- getWord8
when (word /= 0xFF) $ do
readedData <- bytesRead
fail $ "Invalid Frame marker (" ++ show word
++ ", bytes read : " ++ show readedData ++ ")"
parseFrames
case kind of
JpgEndOfImage -> return []
JpgAppSegment 0 ->
parseJF__ <$> takeCurrentFrame <*> parseNextFrame
JpgAppSegment 1 ->
parseExif <$> takeCurrentFrame <*> parseNextFrame
JpgAppSegment 14 ->
parseAdobe14 <$> takeCurrentFrame <*> parseNextFrame
JpgAppSegment c ->
(\frm lst -> JpgAppFrame c frm : lst) <$> takeCurrentFrame <*> parseNextFrame
JpgExtensionSegment c ->
(\frm lst -> JpgExtension c frm : lst) <$> takeCurrentFrame <*> parseNextFrame
JpgQuantizationTable ->
(\(TableList quants) lst -> JpgQuantTable quants : lst) <$> get <*> parseNextFrame
JpgRestartInterval ->
(\(RestartInterval i) lst -> JpgIntervalRestart i : lst) <$> get <*> parseNextFrame
JpgHuffmanTableMarker ->
(\(TableList huffTables) lst ->
JpgHuffmanTable [(t, packHuffmanTree . buildPackedHuffmanTree $ huffCodes t) | t <- huffTables] : lst)
<$> get <*> parseNextFrame
JpgStartOfScan ->
(\frm imgData ->
let (d, other) = extractScanContent imgData
in
case runGet parseFrames (L.drop 1 other) of
Left _ -> [JpgScanBlob frm d]
Right lst -> JpgScanBlob frm d : lst
) <$> get <*> getRemainingLazyBytes
_ -> (\hdr lst -> JpgScans kind hdr : lst) <$> get <*> parseNextFrame
buildPackedHuffmanTree :: V.Vector (VU.Vector Word8) -> HuffmanTree
buildPackedHuffmanTree = buildHuffmanTree . map VU.toList . V.toList
secondStartOfFrameByteOfKind :: JpgFrameKind -> Word8
secondStartOfFrameByteOfKind = aux
where
aux JpgBaselineDCTHuffman = 0xC0
aux JpgExtendedSequentialDCTHuffman = 0xC1
aux JpgProgressiveDCTHuffman = 0xC2
aux JpgLosslessHuffman = 0xC3
aux JpgDifferentialSequentialDCTHuffman = 0xC5
aux JpgDifferentialProgressiveDCTHuffman = 0xC6
aux JpgDifferentialLosslessHuffman = 0xC7
aux JpgExtendedSequentialArithmetic = 0xC9
aux JpgProgressiveDCTArithmetic = 0xCA
aux JpgLosslessArithmetic = 0xCB
aux JpgHuffmanTableMarker = 0xC4
aux JpgDifferentialSequentialDCTArithmetic = 0xCD
aux JpgDifferentialProgressiveDCTArithmetic = 0xCE
aux JpgDifferentialLosslessArithmetic = 0xCF
aux JpgEndOfImage = 0xD9
aux JpgQuantizationTable = 0xDB
aux JpgStartOfScan = 0xDA
aux JpgRestartInterval = 0xDD
aux (JpgRestartIntervalEnd v) = v
aux (JpgAppSegment a) = (a + 0xE0)
aux (JpgExtensionSegment a) = a
data JpgImageKind = BaseLineDCT | ProgressiveDCT
instance Binary JpgFrameKind where
put v = putWord8 0xFF >> put (secondStartOfFrameByteOfKind v)
get = do
word2 <- getWord8
return $ case word2 of
0xC0 -> JpgBaselineDCTHuffman
0xC1 -> JpgExtendedSequentialDCTHuffman
0xC2 -> JpgProgressiveDCTHuffman
0xC3 -> JpgLosslessHuffman
0xC4 -> JpgHuffmanTableMarker
0xC5 -> JpgDifferentialSequentialDCTHuffman
0xC6 -> JpgDifferentialProgressiveDCTHuffman
0xC7 -> JpgDifferentialLosslessHuffman
0xC9 -> JpgExtendedSequentialArithmetic
0xCA -> JpgProgressiveDCTArithmetic
0xCB -> JpgLosslessArithmetic
0xCD -> JpgDifferentialSequentialDCTArithmetic
0xCE -> JpgDifferentialProgressiveDCTArithmetic
0xCF -> JpgDifferentialLosslessArithmetic
0xD9 -> JpgEndOfImage
0xDA -> JpgStartOfScan
0xDB -> JpgQuantizationTable
0xDD -> JpgRestartInterval
a | a >= 0xF0 -> JpgExtensionSegment a
| a >= 0xE0 -> JpgAppSegment (a - 0xE0)
| a >= 0xD0 && a <= 0xD7 -> JpgRestartIntervalEnd a
| otherwise -> error ("Invalid frame marker (" ++ show a ++ ")")
put4BitsOfEach :: Word8 -> Word8 -> Put
put4BitsOfEach a b = put $ (a `unsafeShiftL` 4) .|. b
get4BitOfEach :: Get (Word8, Word8)
get4BitOfEach = do
val <- get
return ((val `unsafeShiftR` 4) .&. 0xF, val .&. 0xF)
newtype RestartInterval = RestartInterval Word16
instance Binary RestartInterval where
put (RestartInterval i) = putWord16be 4 >> putWord16be i
get = do
size <- getWord16be
when (size /= 4) (fail "Invalid jpeg restart interval size")
RestartInterval <$> getWord16be
instance Binary JpgComponent where
get = do
ident <- getWord8
(horiz, vert) <- get4BitOfEach
quantTableIndex <- getWord8
return JpgComponent
{ componentIdentifier = ident
, horizontalSamplingFactor = horiz
, verticalSamplingFactor = vert
, quantizationTableDest = quantTableIndex
}
put v = do
put $ componentIdentifier v
put4BitsOfEach (horizontalSamplingFactor v) $ verticalSamplingFactor v
put $ quantizationTableDest v
instance Binary JpgFrameHeader where
get = do
beginOffset <- fromIntegral <$> bytesRead
frmHLength <- getWord16be
samplePrec <- getWord8
h <- getWord16be
w <- getWord16be
compCount <- getWord8
components <- replicateM (fromIntegral compCount) get
endOffset <- fromIntegral <$> bytesRead
when (beginOffset - endOffset < fromIntegral frmHLength)
(skip $ fromIntegral frmHLength - (endOffset - beginOffset))
return JpgFrameHeader
{ jpgFrameHeaderLength = frmHLength
, jpgSamplePrecision = samplePrec
, jpgHeight = h
, jpgWidth = w
, jpgImageComponentCount = compCount
, jpgComponents = components
}
put v = do
putWord16be $ jpgFrameHeaderLength v
putWord8 $ jpgSamplePrecision v
putWord16be $ jpgHeight v
putWord16be $ jpgWidth v
putWord8 $ jpgImageComponentCount v
mapM_ put $ jpgComponents v
instance Binary JpgScanSpecification where
put v = do
put $ componentSelector v
put4BitsOfEach (dcEntropyCodingTable v) $ acEntropyCodingTable v
get = do
compSel <- get
(dc, ac) <- get4BitOfEach
return JpgScanSpecification {
componentSelector = compSel
, dcEntropyCodingTable = dc
, acEntropyCodingTable = ac
}
instance Binary JpgScanHeader where
get = do
thisScanLength <- getWord16be
compCount <- getWord8
comp <- replicateM (fromIntegral compCount) get
specBeg <- get
specEnd <- get
(approxHigh, approxLow) <- get4BitOfEach
return JpgScanHeader {
scanLength = thisScanLength,
scanComponentCount = compCount,
scans = comp,
spectralSelection = (specBeg, specEnd),
successiveApproxHigh = approxHigh,
successiveApproxLow = approxLow
}
put v = do
putWord16be $ scanLength v
putWord8 $ scanComponentCount v
mapM_ put $ scans v
putWord8 . fst $ spectralSelection v
putWord8 . snd $ spectralSelection v
put4BitsOfEach (successiveApproxHigh v) $ successiveApproxLow v
{-# INLINE createEmptyMutableMacroBlock #-}
createEmptyMutableMacroBlock :: (Storable a, Num a) => ST s (MutableMacroBlock s a)
createEmptyMutableMacroBlock = M.replicate 64 0
printMacroBlock :: (Storable a, PrintfArg a)
=> MutableMacroBlock s a -> ST s String
printMacroBlock block = pLn 0
where pLn 64 = return "===============================\n"
pLn i = do
v <- block `M.unsafeRead` i
vn <- pLn (i+1)
return $ printf (if i `mod` 8 == 0 then "\n%5d " else "%5d ") v ++ vn
printPureMacroBlock :: (Storable a, PrintfArg a) => MacroBlock a -> String
printPureMacroBlock block = pLn 0
where pLn 64 = "===============================\n"
pLn i = str ++ pLn (i + 1)
where str | i `mod` 8 == 0 = printf "\n%5d " v
| otherwise = printf "%5d" v
v = block VS.! i
{-# INLINE dctBlockSize #-}
dctBlockSize :: Num a => a
dctBlockSize = 8