{-
// Efficiency hack: We don't really map a newtype over a list,
// but do a coercion instead.
-}
fakeMap :: (a -> b) -> [a] -> [b]
fakeMap _f xs = unsafeCoerce xs
{-
// As long as there is no automatic derivation of classes for newtypes we resort
// to extremely dirty cpp-hackery. :-P Some care has to be taken when the
// macros below are modified, otherwise the layout rule will bite you.
-}
#define ARITHMETIC_TYPE(T,B) \
newtype T = T B deriving (Eq, Ord) ; \
INSTANCE_NUM(T) ; \
INSTANCE_REAL(T) ; \
INSTANCE_READ(T) ; \
INSTANCE_SHOW(T) ; \
INSTANCE_ENUM(T) ; \
INSTANCE_STORABLE(T)
-- // ToDo: INTEGRAL_TYPE should include INSTANCE_BITS, too..
#define INTEGRAL_TYPE(T,B) \
ARITHMETIC_TYPE(T,B) ; \
INSTANCE_BOUNDED(T) ; \
INSTANCE_INTEGRAL(T)
#define FLOATING_TYPE(T,B) \
ARITHMETIC_TYPE(T,B) ; \
INSTANCE_FRACTIONAL(T) ; \
INSTANCE_FLOATING(T) ; \
INSTANCE_REALFRAC(T) ; \
INSTANCE_REALFLOAT(T)
#define INSTANCE_READ(T) \
instance Read T where { \
readsPrec p s = fakeMap (\(x, t) -> (T x, t)) (readsPrec p s) }
#define INSTANCE_SHOW(T) \
instance Show T where { \
showsPrec p (T x) = showsPrec p x }
#define INSTANCE_NUM(T) \
instance Num T where { \
(T i) + (T j) = T (i + j) ; \
(T i) - (T j) = T (i - j) ; \
(T i) * (T j) = T (i * j) ; \
negate (T i) = T (negate i) ; \
abs (T i) = T (abs i) ; \
signum (T i) = T (signum i) ; \
fromInteger x = T (fromInteger x) }
#define INSTANCE_STORABLE(T) \
instance Storable T where { \
sizeOf (T x) = sizeOf x ; \
alignment (T x) = alignment x ; \
peekElemOff p i = liftM T (peekElemOff (castPtr p) i) ; \
pokeElemOff p i (T x) = pokeElemOff (castPtr p) i x }
#define INSTANCE_BOUNDED(T) \
instance Bounded T where { \
minBound = T minBound ; \
maxBound = T maxBound }
#define INSTANCE_ENUM(T) \
instance Enum T where { \
succ (T i) = T (succ i) ; \
pred (T i) = T (pred i) ; \
toEnum x = T (toEnum x) ; \
fromEnum (T i) = fromEnum i ; \
enumFrom (T i) = fakeMap T (enumFrom i) ; \
enumFromThen (T i) (T j) = fakeMap T (enumFromThen i j) ; \
enumFromTo (T i) (T j) = fakeMap T (enumFromTo i j) ; \
enumFromThenTo (T i) (T j) (T k) = fakeMap T (enumFromThenTo i j k) }
#define INSTANCE_REAL(T) \
instance Real T where { \
toRational (T i) = toRational i }
#define INSTANCE_INTEGRAL(T) \
instance Integral T where { \
(T i) `quot` (T j) = T (i `quot` j) ; \
(T i) `rem` (T j) = T (i `rem` j) ; \
(T i) `div` (T j) = T (i `div` j) ; \
(T i) `mod` (T j) = T (i `mod` j) ; \
(T i) `quotRem` (T j) = let (q,r) = i `quotRem` j in (T q, T r) ; \
(T i) `divMod` (T j) = let (d,m) = i `divMod` j in (T d, T m) ; \
toInteger (T i) = toInteger i }
#define INSTANCE_BITS(T) \
instance Bits T where { \
(T x) .&. (T y) = T (x .&. y) ; \
(T x) .|. (T y) = T (x .|. y) ; \
(T x) `xor` (T y) = T (x `xor` y) ; \
complement (T x) = T (complement x) ; \
shift (T x) n = T (shift x n) ; \
rotate (T x) n = T (rotate x n) ; \
bit n = T (bit n) ; \
setBit (T x) n = T (setBit x n) ; \
clearBit (T x) n = T (clearBit x n) ; \
complementBit (T x) n = T (complementBit x n) ; \
testBit (T x) n = testBit x n ; \
bitSize (T x) = bitSize x ; \
isSigned (T x) = isSigned x }
#define INSTANCE_FRACTIONAL(T) \
instance Fractional T where { \
(T x) / (T y) = T (x / y) ; \
recip (T x) = T (recip x) ; \
fromRational r = T (fromRational r) }
#define INSTANCE_FLOATING(T) \
instance Floating T where { \
pi = pi ; \
exp (T x) = T (exp x) ; \
log (T x) = T (log x) ; \
sqrt (T x) = T (sqrt x) ; \
(T x) ** (T y) = T (x ** y) ; \
(T x) `logBase` (T y) = T (x `logBase` y) ; \
sin (T x) = T (sin x) ; \
cos (T x) = T (cos x) ; \
tan (T x) = T (tan x) ; \
asin (T x) = T (asin x) ; \
acos (T x) = T (acos x) ; \
atan (T x) = T (atan x) ; \
sinh (T x) = T (sinh x) ; \
cosh (T x) = T (cosh x) ; \
tanh (T x) = T (tanh x) ; \
asinh (T x) = T (asinh x) ; \
acosh (T x) = T (acosh x) ; \
atanh (T x) = T (atanh x) }
#define INSTANCE_REALFRAC(T) \
instance RealFrac T where { \
properFraction (T x) = let my = properFraction x in (fst my, T (snd my)) ; \
truncate (T x) = truncate x ; \
round (T x) = round x ; \
ceiling (T x) = ceiling x ; \
floor (T x) = floor x }
#define INSTANCE_REALFLOAT(T) \
instance RealFloat T where { \
floatRadix (T x) = floatRadix x ; \
floatDigits (T x) = floatDigits x ; \
floatRange (T x) = floatRange x ; \
decodeFloat (T x) = decodeFloat x ; \
encodeFloat m n = T (encodeFloat m n) ; \
exponent (T x) = exponent x ; \
significand (T x) = T (significand x) ; \
scaleFloat n (T x) = T (scaleFloat n x) ; \
isNaN (T x) = isNaN x ; \
isInfinite (T x) = isInfinite x ; \
isDenormalized (T x) = isDenormalized x ; \
isNegativeZero (T x) = isNegativeZero x ; \
{- isIEEE (T x) = isIEEE x ; -} \
(T x) `atan2` (T y) = T (x `atan2` y) }
|