sparse-linear-algebra-0.2.9.9: src/Data/Sparse/Internal/IntM.hs

{-# language GeneralizedNewtypeDeriving, DeriveFunctor, DeriveFoldable, CPP, TypeFamilies, FlexibleInstances #-}
module Data.Sparse.Internal.IntM where

import Data.Sparse.Utils
import Numeric.LinearAlgebra.Class

import GHC.Exts
import Data.Complex

import qualified Data.IntMap.Strict as IM





-- | A synonym for IntMap 
newtype IntM a = IntM {unIM :: IM.IntMap a} deriving (Eq, Show, Functor, Foldable)

empty :: IntM a
empty = IntM IM.empty

size :: IntM a -> Int
size (IntM x) = IM.size x

singleton :: IM.Key -> a -> IntM a
singleton i x = IntM $ IM.singleton i x

filterWithKey f im = IntM $ IM.filterWithKey f (unIM im)

insert :: IM.Key -> a -> IntM a -> IntM a
insert k x (IntM im) = IntM $ IM.insert k x im

filterI :: (a -> Bool) -> IntM a -> IntM a
filterI f (IntM im) = IntM $ IM.filter f im

lookup :: IM.Key -> IntM a -> Maybe a
lookup i (IntM im) = IM.lookup i im

lookupLT x (IntM im) = IM.lookupLT x im

foldlWithKey :: (a -> IM.Key -> b -> a) -> a -> IntM b -> a
foldlWithKey f z (IntM im) = IM.foldlWithKey f z im

foldlWithKey' :: (a -> IM.Key -> b -> a) -> a -> IntM b -> a
foldlWithKey' f z (IntM im) = IM.foldlWithKey' f z im

mapWithKey f (IntM im) = IntM $ IM.mapWithKey f im

keys :: IntM a -> [IM.Key]
keys (IntM im) = IM.keys im

mapKeys f (IntM im) = IntM $ IM.mapKeys f im

union :: IntM a -> IntM a -> IntM a
union (IntM a) (IntM b) = IntM $ IM.union a b

findMin (IntM im) = IM.findMin im
findMax (IntM im) = IM.findMax im

(!) :: IntM a -> IM.Key -> a
(IntM im) ! i = im IM.! i


instance IsList (IntM a) where
  type Item (IntM a) = (Int, a)
  fromList = IntM . IM.fromList
  toList = IM.toList . unIM



instance Set IntM where
  liftU2 f (IntM a) (IntM b) = IntM $ IM.unionWith f a b
  liftI2 f (IntM a) (IntM b) = IntM $ IM.intersectionWith f a b

instance Num a => AdditiveGroup (IntM a) where
  zeroV = IntM IM.empty
  {-# INLINE zeroV #-}
  (^+^) = liftU2 (+)
  {-# INLINE (^+^) #-}
  (^-^) = liftU2 (-)
  {-# INLINE (^-^) #-}
  negateV = fmap negate
  {-# INLINE negateV #-}




-- -- | ParamInstance can be used with all types that are instances of Set (which are by construction also instances of Functor)
-- #define ParamInstance(f, t) \
--   instance VectorSpace (f t) where {type (Scalar (f (t))) = (t); n .* im = fmap (* n) im};\
--   instance VectorSpace (f (Complex t)) where {type (Scalar (f (Complex t))) = Complex (t); n .* im = fmap (* n) im};\
--   instance InnerSpace (f t) where {a <.> b = sum $ liftI2 (*) a b};\
--   instance InnerSpace (f (Complex t)) where {a <.> b = sum $ liftI2 (*) (conjugate <$> a) b};\
--   -- instance Normed (f t) where {type RealScalar (f t) = t ; type Magnitude (f t) = t ; norm1 a = sum (abs <$> a) ; norm2Sq a = sum $ liftI2 (*) a a; normP p v = sum u**(1/p) where u = fmap (**p) v; normalize = normzPR ; normalize2 = normz2R}; \
--   -- instance Normed (f (Complex t)) where {type RealScalar (f (Complex t)) = t; type Magnitude (f (Complex t)) = t; norm1 a = realPart $ sum (abs <$> a); norm2Sq a = realPart $ sum $ liftI2 (*) (conjugate <$> a) a; normP p v = realPart $ sum u**(1/(p :+ 0)) where u = fmap (**(p :+ 0)) v; normalize = normzPC; normalize2 = normz2C }


-- instance Normed (IntM Double) where
--   type RealScalar (IntM Double) = Double
--   type Magnitude (IntM Double) = Double
--   norm1 a = sum (abs <$> a)
--   norm2Sq a = sum $ liftI2 (*) a a
--   normP p v = sum u**(1/p) where u = fmap (**p) v
--   normalize p v = v ./ normP p v 
--   normalize2 v = v ./ norm2 v 
  
-- instance Normed (IntM (Complex Double)) where
--   type RealScalar (IntM (Complex Double)) = Double
--   type Magnitude (IntM (Complex Double)) = Double
--   norm1 a = realPart $ sum (abs <$> a)
--   norm2Sq a = realPart $ sum $ liftI2 (*) (conjugate <$> a) a
--   normP p v = realPart $ sum u**(1/(p :+ 0)) where u = fmap (**(p :+ 0)) v
--   normalize p v = v ./ toC (normP p v)
--   normalize2 v = v ./ toC (norm2 v)






-- -- | IntMap instances
-- #define IntMapInstance(t) \
--   ParamInstance( IntM, t )

-- IntMapInstance(Double)
-- -- IntMapInstance(Float)





-- -- | list to IntMap
-- mkIm :: [Double] -> IM.IntMap Double
mkIm xs = fromList $ indexed xs :: IntM Double

-- mkImC :: [Complex Double] -> IM.IntMap (Complex Double)
mkImC xs = fromList $ indexed xs :: IntM (Complex Double)