@@ -243,7 +243,7 @@ type Trivial a = FromNat (Count a) ~ a
244instance (Num e) => Category (Matrix e) where
244instance (Num e) => Category (Matrix e) where
245 type Object (Matrix e) a = (FL a a, Countable a)
245 type Object (Matrix e) a = (FL a a, Countable a)
246− id = iden
246+ id = iden
247 (.) = comp
247 (.) = comp
249instance NFData e => NFData (Matrix e cols rows) where
249instance NFData e => NFData (Matrix e cols rows) where
@@ -259,7 +259,6 @@ instance Eq e => Eq (Matrix e cols rows) where
259 x@(Join _ _) == y@(Fork _ _) = abideJF x == y
259 x@(Join _ _) == y@(Fork _ _) = abideJF x == y
261instance Num e => Num (Matrix e cols rows) where
261instance Num e => Num (Matrix e cols rows) where
263 a + b = zipWithM (+) a b
262 a + b = zipWithM (+) a b
265 a - b = zipWithM (-) a b
264 a - b = zipWithM (-) a b
@@ -326,7 +325,8 @@ instance (FromLists cols ()) => FromLists (Either () cols) () where
326 fromLists [h : t] = Join (One h) (fromLists [t])
325 fromLists [h : t] = Join (One h) (fromLists [t])
327 fromLists _ = error "Wrong dimensions"
326 fromLists _ = error "Wrong dimensions"
328+instance {-# OVERLAPPABLE #-}
329−instance {-# OVERLAPPABLE #-} (FromLists a (), FromLists b (), Countable a) => FromLists (Either a b) () where
329+ (FromLists a (), FromLists b (), Countable a) => FromLists (Either a b) () where
330 fromLists [l] =
330 fromLists [l] =
331 let rowsA = fromInteger (natVal (Proxy :: Proxy (Count a)))
331 let rowsA = fromInteger (natVal (Proxy :: Proxy (Count a)))
332 in Join (fromLists [take rowsA l]) (fromLists [drop rowsA l])
332 in Join (fromLists [take rowsA l]) (fromLists [drop rowsA l])
@@ -336,13 +336,15 @@ instance (FromLists () rows) => FromLists () (Either () rows) where
336 fromLists ([h] : t) = Fork (One h) (fromLists t)
336 fromLists ([h] : t) = Fork (One h) (fromLists t)
337 fromLists _ = error "Wrong dimensions"
337 fromLists _ = error "Wrong dimensions"
339+instance {-# OVERLAPPABLE #-}
339−instance {-# OVERLAPPABLE #-} (FromLists () a, FromLists () b, Countable a) => FromLists () (Either a b) where
340+ (FromLists () a, FromLists () b, Countable a) => FromLists () (Either a b) where
340 fromLists l@([_] : _) =
341 fromLists l@([_] : _) =
341 let rowsA = fromInteger (natVal (Proxy :: Proxy (Count a)))
342 let rowsA = fromInteger (natVal (Proxy :: Proxy (Count a)))
342 in Fork (fromLists (take rowsA l)) (fromLists (drop rowsA l))
343 in Fork (fromLists (take rowsA l)) (fromLists (drop rowsA l))
343 fromLists _ = error "Wrong dimensions"
344 fromLists _ = error "Wrong dimensions"
345−instance (FromLists (Either a b) c, FromLists (Either a b) d, Countable c) => FromLists (Either a b) (Either c d) where
346+instance (FromLists (Either a b) c, FromLists (Either a b) d, Countable c)
347+ => FromLists (Either a b) (Either c d) where
346 fromLists l@(h : t) =
348 fromLists l@(h : t) =
347 let lh = length h
349 let lh = length h
348 rowsC = fromInteger (natVal (Proxy :: Proxy (Count c)))
350 rowsC = fromInteger (natVal (Proxy :: Proxy (Count c)))
@@ -369,16 +371,15 @@ matrixBuilder' f =
369matrixBuilder ::
371matrixBuilder ::
370 forall e a b.
372 forall e a b.
371 ( FLN a b,
373 ( FLN a b,
375 Bounded a,
376 Bounded a,
376 Bounded b,
377 Bounded b,
378− CountableDimsN a b
379+ Countable b
379 ) => ((a, b) -> e) -> Matrix e (Normalize a) (Normalize b)
380 ) => ((a, b) -> e) -> Matrix e (Normalize a) (Normalize b)
380matrixBuilder f =
381matrixBuilder f =
381− let r = fromInteger $ natVal (Proxy :: Proxy (Count (Normalize b)))
382+ let r = fromInteger $ natVal (Proxy :: Proxy (Count b))
382 positions = [(a, b) | a <- [minBound .. maxBound], b <- [minBound .. maxBound]]
383 positions = [(a, b) | a <- [minBound .. maxBound], b <- [minBound .. maxBound]]
383 in fromLists . map (map f) . transpose . buildList r $ positions
384 in fromLists . map (map f) . transpose . buildList r $ positions
@@ -434,24 +435,7 @@ fromF ::
435 (a -> b) ->
436 (a -> b) ->
436 Matrix e (Normalize a) (Normalize b)
437 Matrix e (Normalize a) (Normalize b)
437−fromF f =
438+fromF = fromF'
438− let minA = minBound @a
442− ccols = fromInteger $ natVal (Proxy :: Proxy (Count (Normalize a)))
443− rrows = fromInteger $ natVal (Proxy :: Proxy (Count (Normalize b)))
444− elementsA = take ccols [minA .. maxA]
445− elementsB = take rrows [minB .. maxB]
446− combinations = (,) <$> elementsA <*> elementsB
447− combAp = map snd . sort . map (\(a, b) -> if f a == b
448− then ((fromEnum a, fromEnum b), 1)
449− else ((fromEnum a, fromEnum b), 0)) $ combinations
450− mList = buildList combAp rrows
451− in tr $ fromLists mList
454− buildList l r = take r l : buildList (drop r l) r
456-- Conversion
440-- Conversion
@@ -947,24 +931,7 @@ fromFRel' ::
948 (a -> b) ->
932 (a -> b) ->
949 Relation cols rows
933 Relation cols rows
950−fromFRel' f =
934+fromFRel' = fromF'
951− let minA = minBound @a
955− ccols = fromInteger $ natVal (Proxy :: Proxy (Count cols))
956− rrows = fromInteger $ natVal (Proxy :: Proxy (Count rows))
957− elementsA = take ccols [minA .. maxA]
958− elementsB = take rrows [minB .. maxB]
959− combinations = (,) <$> elementsA <*> elementsB
960− combAp = map snd . sort . map (\(a, b) -> if f a == b
961− then ((fromEnum a, fromEnum b), nat 1)
962− else ((fromEnum a, fromEnum b), nat 0)) $ combinations
963− mList = buildList combAp rrows
964− in tr $ fromLists mList
967− buildList l r = take r l : buildList (drop r l) r
969-- | Lifts functions to relations with dimensions matching @a@ and @b@
936-- | Lifts functions to relations with dimensions matching @a@ and @b@
970-- cardinality's.
937-- cardinality's.
@@ -972,28 +939,11 @@ fromFRel ::
972 forall a b.
939 forall a b.
973 ( Liftable Boolean a b,
940 ( Liftable Boolean a b,
974 CountableDimsN a b,
941 CountableDimsN a b,
975− FL (Normalize b) (Normalize a)
942+ FLN b a
977 (a -> b) ->
944 (a -> b) ->
978 Relation (Normalize a) (Normalize b)
945 Relation (Normalize a) (Normalize b)
979−fromFRel f =
946+fromFRel = fromFRel'
980− let minA = minBound @a
984− ccols = fromInteger $ natVal (Proxy :: Proxy (Count (Normalize a)))
985− rrows = fromInteger $ natVal (Proxy :: Proxy (Count (Normalize b)))
986− elementsA = take ccols [minA .. maxA]
987− elementsB = take rrows [minB .. maxB]
988− combinations = (,) <$> elementsA <*> elementsB
989− combAp = map snd . sort . map (\(a, b) -> if f a == b
990− then ((fromEnum a, fromEnum b), nat 1)
991− else ((fromEnum a, fromEnum b), nat 0)) $ combinations
992− mList = buildList combAp rrows
993− in tr $ fromLists mList
996− buildList l r = take r l : buildList (drop r l) r
998-- | Lifts a relation function to a Boolean Matrix
948-- | Lifts a relation function to a Boolean Matrix
@@ -1003,7 +953,7 @@ toRel ::
1006− CountableDimsN a b,
956+ CountableDims a b,
1009 => (a -> b -> Bool) -> Relation (Normalize a) (Normalize b)
959 => (a -> b -> Bool) -> Relation (Normalize a) (Normalize b)
@@ -1012,8 +962,8 @@ toRel f =
1012 maxA = maxBound @a
962 maxA = maxBound @a
1013 minB = minBound @b
963 minB = minBound @b
1014 maxB = maxBound @b
964 maxB = maxBound @b
1015− ccols = fromInteger $ natVal (Proxy :: Proxy (Count (Normalize a)))
965+ ccols = fromInteger $ natVal (Proxy :: Proxy (Count a))
1016− rrows = fromInteger $ natVal (Proxy :: Proxy (Count (Normalize b)))
966+ rrows = fromInteger $ natVal (Proxy :: Proxy (Count b))
1017 elementsA = take ccols [minA .. maxA]
967 elementsA = take ccols [minA .. maxA]
1018 elementsB = take rrows [minB .. maxB]
968 elementsB = take rrows [minB .. maxB]
1019 combinations = (,) <$> elementsA <*> elementsB
969 combinations = (,) <$> elementsA <*> elementsB