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-rw-r--r--src/Data/Array/Nested/Internal/Shape.hs19
1 files changed, 19 insertions, 0 deletions
diff --git a/src/Data/Array/Nested/Internal/Shape.hs b/src/Data/Array/Nested/Internal/Shape.hs
index 1e0d7cc..4cc58dd 100644
--- a/src/Data/Array/Nested/Internal/Shape.hs
+++ b/src/Data/Array/Nested/Internal/Shape.hs
@@ -76,6 +76,10 @@ listrFromList :: [i] -> (forall n. ListR n i -> r) -> r
listrFromList [] k = k ZR
listrFromList (x : xs) k = listrFromList xs $ \l -> k (x ::: l)
+listrTail :: ListR (n + 1) i -> ListR n i
+listrTail (_ ::: sh) = sh
+listrTail ZR = error "unreachable"
+
listrIndex :: forall k n i. (k + 1 <= n) => SNat k -> ListR n i -> i
listrIndex SZ (x ::: _) = x
listrIndex (SS i) (_ ::: xs) | Refl <- lemLeqSuccSucc (Proxy @k) (Proxy @n) = listrIndex i xs
@@ -149,6 +153,9 @@ ixCvtRX (n :.: (idx :: IxR m Int)) =
castWith (subst2 @IxX @Int (lemReplicateSucc @(Nothing @Nat) @m))
(n :.% ixCvtRX idx)
+ixrTail :: IxR (n + 1) i -> IxR n i
+ixrTail (IxR list) = IxR (listrTail list)
+
ixrToSNat :: IxR n i -> SNat n
ixrToSNat (IxR sh) = listrToSNat sh
@@ -209,6 +216,9 @@ shrSize :: IShR n -> Int
shrSize ZSR = 1
shrSize (n :$: sh) = n * shrSize sh
+shrTail :: ShR (n + 1) i -> ShR n i
+shrTail (ShR list) = ShR (listrTail list)
+
shrToSNat :: ShR n i -> SNat n
shrToSNat (ShR sh) = listrToSNat sh
@@ -278,6 +288,9 @@ listsToList :: ListS sh (Const i) -> [i]
listsToList ZS = []
listsToList (Const i ::$ is) = i : listsToList is
+listsTail :: ListS (n : sh) i -> ListS sh i
+listsTail (_ ::$ sh) = sh
+
listsAppend :: ListS sh f -> ListS sh' f -> ListS (sh ++ sh') f
listsAppend ZS idx' = idx'
listsAppend (i ::$ idx) idx' = i ::$ listsAppend idx idx'
@@ -370,6 +383,9 @@ ixCvtSX :: IIxS sh -> IIxX (MapJust sh)
ixCvtSX ZIS = ZIX
ixCvtSX (n :.$ sh) = n :.% ixCvtSX sh
+ixsTail :: IxS (n : sh) i -> IxS sh i
+ixsTail (IxS list) = IxS (listsTail list)
+
-- | The shape of a shape-typed array given as a list of 'SNat' values.
--
@@ -421,6 +437,9 @@ shCvtSX :: ShS sh -> IShX (MapJust sh)
shCvtSX ZSS = ZSX
shCvtSX (n :$$ sh) = SKnown n :$% shCvtSX sh
+shsTail :: ShS (n : sh) -> ShS sh
+shsTail (ShS list) = ShS (listsTail list)
+
shsSize :: ShS sh -> Int
shsSize ZSS = 1
shsSize (n :$$ sh) = fromSNat' n * shsSize sh