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LinearLibPoly9.idr
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module LinearLibPoly9
import System.FFI
import PrimIO
import Prelude
import Control.Linear.LIO
import Control.App
import Control.App.Console
import System.FFI
import PrimIO
import Prelude
import Control.Linear.LIO
import Control.Monad.State.State
import Control.Monad.State
import Data.Fin
import Data.Nat
import Data.Vect
import Debug.Trace
--Pointer Operations in C
%foreign "C:alloc_pointer, pointer_functions"
alloc_C : PrimIO AnyPtr
%foreign "C:write_int_pointer, pointer_functions"
writeInt_C : Int -> (1 _ : AnyPtr) -> PrimIO ()
%foreign "C:read_int_pointer, pointer_functions"
readInt_C : (1 _ : AnyPtr) -> PrimIO Int
%foreign "C:free_pointer, pointer_functions"
free_C : (1 _ : AnyPtr) -> PrimIO ()
--Section 3.1 Basic Operations
allocUnsafe : IO AnyPtr
allocUnsafe = fromPrim alloc_C
writeUnsafe : Int -> AnyPtr -> IO ()
writeUnsafe to_write ptr = fromPrim $ writeInt_C to_write ptr
readUnsafe : AnyPtr -> IO Int
readUnsafe ptr = fromPrim (readInt_C ptr)
freeUnsafe : AnyPtr -> IO ()
freeUnsafe ptr = fromPrim (free_C ptr)
example1 : IO ()
example1 = do
myPointer <- allocUnsafe
freeUnsafe myPointer
freeUnsafe myPointer
-- Moving onto safety with CPS style
export
alloc : ((1 _ : AnyPtr) -> IO Int) -> IO Int
alloc cc = do
ptr <- allocUnsafe
cc ptr
export
free : (1 _ : AnyPtr) -> IO Int
free = assert_linear free'
where
free' : AnyPtr -> IO Int
free' ptr = do
x <- readUnsafe ptr
freeUnsafe ptr
pure x
export
write : ((1 _ : AnyPtr) -> IO Int) -> Int -> (1 _ : AnyPtr) -> IO Int
write cc to_write = assert_linear write'
where
write' : AnyPtr -> IO Int
write' ptr = do
writeUnsafe to_write ptr
cc ptr
export
read : (Int -> (1 _ : AnyPtr) -> IO Int) -> (1 _ : AnyPtr) -> IO Int
read cc = assert_linear read'
where
read' : AnyPtr -> IO Int
read' ptr = do
x <- readUnsafe ptr
cc x ptr
example2 : IO Int
example2 = alloc . flip write 10 . read . (\cont, x => cont (x*2)) . write $ free
example3 : IO Int
example3 = alloc (flip write 10 (read ((\cont, x => cont (x*2)) (write free))))
-- Using the SafePointer construction
--private
export
data SafePointer : Type where
ConstructSafePointer : AnyPtr -> SafePointer
export
allocSP : ((1 _ : SafePointer) -> IO Int) -> IO Int
allocSP cc = do
ptr <- ConstructSafePointer <$> allocUnsafe
cc ptr
export
freeSP : (1 _ : SafePointer) -> IO Int
freeSP (ConstructSafePointer ptr) = free ptr
export
writeSP : ((1 _ : SafePointer) -> IO Int) -> Int -> (1 _ : SafePointer) -> IO Int
writeSP cc to_write (ConstructSafePointer ptr) = do
writeUnsafe to_write ptr
cc (ConstructSafePointer ptr)
export
readSP : (Int -> (1 _ : SafePointer) -> IO Int) -> (1 _ : SafePointer) -> IO Int
readSP cc (ConstructSafePointer ptr)= do
x <- readUnsafe ptr
cc x (ConstructSafePointer ptr)
-- Section 3.2 Linear Monad
export
allocLin : L IO {use=Linear} SafePointer
allocLin = do
ptr <- liftIO1 allocUnsafe
pure1 $ ConstructSafePointer ptr
export
writeLin : Int -> (1 _ : SafePointer) -> L IO {use=Linear} SafePointer
writeLin to_write (ConstructSafePointer ptr) = do
liftIO1 $ writeUnsafe to_write ptr
pure1 $ ConstructSafePointer ptr
export
freeLin : (1 _ : SafePointer) -> L IO {use=Unrestricted} ()
freeLin (ConstructSafePointer ptr) = liftIO1 $ freeUnsafe ptr
export
runLin : (Applicative io, LinearBind io) => (1 _ : L io a) -> io a
runLin = Control.Linear.LIO.run
example4 : IO ()
example4 = runLin $ do
myPointer <- allocLin
myPointer' <- writeLin 10 myPointer
myPointer'' <- writeLin 20 myPointer'
freeLin myPointer''
example5 : IO ()
example5 = runLin $ do
myPointer <- allocLin
myPointer <- writeLin 10 myPointer
myPointer <- writeLin 20 myPointer
freeLin myPointer
public export
data SemiLinPair : Type -> Type -> Type where
(*?) : a -> (1 _ : b) -> SemiLinPair a b
infixr 4 *?
readLin : (1 _ : SafePointer) -> L IO {use=Linear} (SemiLinPair Int SafePointer)
readLin (ConstructSafePointer ptr) = do
x <- liftIO1 $ readUnsafe ptr
pure1 $ x *? (ConstructSafePointer ptr)
example6 : IO ()
example6 = runLin $ do
myPointer <- allocLin
myPointer <- writeLin 10 myPointer
doubled *? myPointer <- readLin myPointer
myPointer <- writeLin (doubled * 2) myPointer
freeLin myPointer
-- Section 3.3 Duplicate Pointer Handling
data SafePointer' = ConstructSafePointer' SafePointer
forceUnrestricted : L IO {use=1} a -> L IO a
forceUnrestricted act = do
x <- act
assert_linear pure x
public export
data LinPair : Type -> Type -> Type where
(??) : (1 _ : a) -> (1 _ : b) -> LinPair a b
infixr 4 ??
export
data TrackedPointer : (isParent : Bool) -> SafePointer' -> Type where
CreateTrackedPointer : (self : SafePointer) -> TrackedPointer isParent (ConstructSafePointer' self)
export
freeTP : (1 _ : TrackedPointer True self) -> L IO {use=Unrestricted} ()
freeTP (CreateTrackedPointer ptr) = freeLin ptr
export
freeKidTP : (1 _ : TrackedPointer grandparent self) -> (1 _ : TrackedPointer False self) -> L IO {use=Linear} (TrackedPointer grandparent self)
freeKidTP parent child = do
assert_linear consume child
pure1 parent
where
consume : (TrackedPointer _ _) -> L IO ()
consume _ = pure ()
export
allocTP : L IO {use=Linear} (Res SafePointer' (\self => TrackedPointer True self))
allocTP = do
ptr <- liftIO1 $ ConstructSafePointer <$> allocUnsafe
pure1 $ (ConstructSafePointer' ptr) # (CreateTrackedPointer ptr)
export
readTP : (1 _ : TrackedPointer parent self) -> L IO {use=1} (SemiLinPair Int (TrackedPointer parent self))
readTP = assert_linear readTP'
where
readTP' : (TrackedPointer parent self) -> L IO {use=1} (SemiLinPair Int (TrackedPointer parent self))
readTP' trackedPointer = do
let (CreateTrackedPointer ptr) = trackedPointer
int *? _ <- forceUnrestricted $ readLin ptr
pure1 $ int *? trackedPointer
export
writeTP : Int -> (1 _ : TrackedPointer parent self) -> L IO {use=1} (TrackedPointer parent self)
writeTP int = assert_linear writeTP'
where
writeTP' : (TrackedPointer parent self) -> L IO {use=1} (TrackedPointer parent self)
writeTP' trackedPointer = do
let (CreateTrackedPointer ptr) = trackedPointer
_ <- forceUnrestricted $ writeLin int ptr
pure1 trackedPointer
export
copyTP : (1 _ : TrackedPointer grandparent parent) -> L IO {use=1} (LinPair (TrackedPointer False parent) (TrackedPointer grandparent parent))
copyTP = assert_linear copyTP'
where
copyTP' : (TrackedPointer grandparent parent) -> L IO {use=1} (LinPair (TrackedPointer False parent) (TrackedPointer grandparent parent))
copyTP' tp = pure1 $ believe_me tp ?? tp
{-
main : IO ()
main = runLin $ do
_ # ptr <- allocTP
kid ?? ptr <- copyTP ptr
kid <- writeTP 50 kid
int *? ptr <- readTP ptr
print int
ptr <- freeKidTP ptr kid
freeTP ptr
-}
-- Section 3.4 Arrays -- PICK UP FROM HERE
--Array Int primitives
%foreign "C:create_int_array, pointer_functions"
allocIntArray_C : Int -> PrimIO AnyPtr
%foreign "C:write_int_array, pointer_functions"
writeIntArray_C : (loc : Int) -> (to_write : Int) -> (1 _ : AnyPtr) -> PrimIO ()
%foreign "C:read_int_array, pointer_functions"
readIntArray_C : (loc : Int) -> (1 _ : AnyPtr) -> PrimIO Int
export
data IntArray : Nat -> (isParent : Bool) -> SafePointer' -> Type where
CreateIntArray : (len : Nat) -> TrackedPointer parent self -> IntArray (S len) parent self
export
createIntArray : (size : Nat) -> L IO {use=Linear} (Res SafePointer' (\self => IntArray (S size) True self))
createIntArray size = do
ptr <- ConstructSafePointer <$> liftIO1 (fromPrim (allocIntArray_C . cast $ (S size)))
pure1 $ (ConstructSafePointer' ptr) # (CreateIntArray size (CreateTrackedPointer ptr))
--Fin is kinda shit
conv : (Fin m) -> Int
conv = cast . finToInteger
getPointerFromIntArray : IntArray _ _ _ -> AnyPtr
getPointerFromIntArray (CreateIntArray _ (CreateTrackedPointer (ConstructSafePointer ptr))) = ptr
export
writeIntArray : (Fin (S size)) -> Int -> (1 _ : IntArray (S size) parent self) -> L IO {use=Linear} (IntArray (S size) parent self)
writeIntArray loc to_write = assert_linear writeIntArray'
where
writeIntArray' : IntArray (S size) parent self -> L IO {use=Linear} (IntArray (S size) parent self)
writeIntArray' intArray = do
let ptr = getPointerFromIntArray intArray
liftIO1 (fromPrim (writeIntArray_C (conv loc) to_write ptr))
pure1 intArray
export
writeIntArrayPrf : (loc : Nat) -> {auto 0 prf : LTE loc size} -> Int -> (1 _ : IntArray (S size) parent self) -> L IO {use=Linear} (IntArray (S size) parent self)
writeIntArrayPrf loc to_write = assert_linear writeIntArrayPrf'
where
writeIntArrayPrf' : IntArray (S size) parent self -> L IO {use=Linear} (IntArray (S size) parent self)
writeIntArrayPrf' intArray = do
let ptr = getPointerFromIntArray intArray
liftIO1 (fromPrim (writeIntArray_C (cast loc) to_write ptr))
pure1 intArray
export
readIntArrayPrf : (loc : Nat) -> {auto 0 prf : LTE (S loc) (S size)} -> (1 _ : IntArray (S size) parent self) -> L IO {use=Linear} (SemiLinPair Int (IntArray (S size) parent self))
readIntArrayPrf loc = assert_linear readIntArrayPrf'
where
readIntArrayPrf' : IntArray (S size) parent self -> L IO {use=Linear} (SemiLinPair Int (IntArray (S size) parent self))
readIntArrayPrf' intArray = do
let ptr = getPointerFromIntArray intArray
val <- liftIO1 (fromPrim (readIntArray_C (cast loc) ptr))
pure1 $ val *? intArray
export
readIntArray : (Fin (S size)) -> (1 _ : IntArray (S size) parent self) -> L IO {use=Linear} (SemiLinPair Int (IntArray (S size) parent self))
readIntArray loc = assert_linear readIntArray'
where
readIntArray' : IntArray (S size) parent self -> L IO {use=Linear} (SemiLinPair Int (IntArray (S size) parent self))
readIntArray' intArray = do
let ptr = getPointerFromIntArray intArray
val <- liftIO1 (fromPrim (readIntArray_C (conv loc) ptr))
pure1 $ val *? intArray
export
getPointerUnsafe : (IntArray (S size) parent self) -> (Nat, AnyPtr)
getPointerUnsafe (CreateIntArray s (CreateTrackedPointer (ConstructSafePointer ptr))) = (s, ptr)
readIntArrayDegen : Int -> (1 _ : IntArray (S size) parent self) -> L IO {use=Linear} (SemiLinPair Int (IntArray (S size) parent self))
readIntArrayDegen loc = assert_linear readIntArrayDegen'
where
readIntArrayDegen' : IntArray (S size) parent self -> L IO {use=Linear} (SemiLinPair Int (IntArray (S size) parent self))
readIntArrayDegen' intArray = do
let ptr = getPointerFromIntArray intArray
val <- liftIO1 (fromPrim (readIntArray_C loc ptr))
pure1 $ val *? intArray
export
freeIntArray : (1 _ : IntArray size True self) -> L IO ()
freeIntArray = assert_linear freeIntArray'
where
freeIntArray' : IntArray _ _ _ -> L IO ()
freeIntArray' intArray = do
let ptr = getPointerFromIntArray intArray
liftIO1 $ freeUnsafe ptr
export
freeIntArrayKid : (1 _ : IntArray size isParent self) -> (1 _ : IntArray _ False self) -> L IO {use=1} (IntArray size isParent self)
freeIntArrayKid parent child = do
assert_linear consume child
pure1 parent
where
consume : (IntArray _ _ _) -> L IO ()
consume _ = pure ()
export
duplicateIntArray : (1 _ : IntArray size isParent self) -> L IO {use=1} (LinPair (IntArray size False self) (IntArray size isParent self))
duplicateIntArray = assert_linear duplicateIntArray'
where
duplicateIntArray' : IntArray size isParent self -> L IO {use=1} (LinPair (IntArray size False self) (IntArray size isParent self))
duplicateIntArray' intArray = pure1 $ believe_me intArray ?? intArray
-- We now get onto polymorphism with typeclasses
export
data SimplePolyArray : Nat -> (elem : Type) -> (isParent : Bool) -> SafePointer' -> Type where
CreateSimplePolyArray : (len : Nat) -> (TrackedPointer parent self) -> SimplePolyArray (S len) a parent self
public export
interface CType a where
createArraySimplePoly : (size : Nat) -> L IO {use=Linear} (Res SafePointer' (\self => SimplePolyArray (S size) a True self))
readArraySimplePoly : (loc : Fin (S size)) -> (1 _ : SimplePolyArray (S size) a parent self) -> L IO {use=Linear} (SemiLinPair a (SimplePolyArray (S size) a parent self))
writeArraySimplePoly : (loc : Fin (S size)) -> a -> (1 _ : SimplePolyArray (S size) a parent self) -> L IO {use=Linear} (SimplePolyArray (S size) a parent self)
-- Functions which are equivalent independnt of type of element withn
freeArraySimplePoly : (1 _ : SimplePolyArray _ _ True _) -> L IO {use=Unrestricted} ()
freeArraySimplePoly = assert_linear freeArraySimplePoly'
where
freeArraySimplePoly' : (SimplePolyArray _ _ _ _) -> L IO ()
freeArraySimplePoly' _ = pure ()
duplicateSimplePolyArray : (1 _ : SimplePolyArray size a grandparent parent) -> L IO {use=1} (LinPair (SimplePolyArray size a False parent) (SimplePolyArray size a grandparent parent))
duplicateSimplePolyArray = assert_linear duplicateSimplePolyArray'
where
duplicateSimplePolyArray' : SimplePolyArray size a grandparent parent -> L IO {use=1} (LinPair (SimplePolyArray size a False parent) (SimplePolyArray size a grandparent parent))
duplicateSimplePolyArray' polyArr = pure1 $ believe_me polyArr ?? polyArr
freeKidSimplePolyArray : (1 _ : SimplePolyArray size a grandparent parent) -> (1 _ : SimplePolyArray _ a False parent) -> L IO {use=1} (SimplePolyArray size a grandparent parent)
freeKidSimplePolyArray parent child = do
assert_linear consume child
pure1 parent
where
consume : (SimplePolyArray _ _ _ _) -> L IO ()
consume _ = pure ()
-- Here we create functions to create the above functions when passed the correct C primitive
createArraySimplePolyGeneric : (Int -> PrimIO AnyPtr) -> (size : Nat) -> L IO {use=1} (Res SafePointer' (\self => SimplePolyArray (S size) a True self))
createArraySimplePolyGeneric allocArr size = do
ptr <- ConstructSafePointer <$> liftIO1 (fromPrim (allocArr (cast (S size))))
pure1 $ (ConstructSafePointer' ptr) # (CreateSimplePolyArray size (CreateTrackedPointer ptr))
getPointerFromSimplePolyArray : (SimplePolyArray _ _ _ _) -> AnyPtr
getPointerFromSimplePolyArray (CreateSimplePolyArray _ (CreateTrackedPointer (ConstructSafePointer ptr))) = ptr
writeArraySimplePolyGeneric : (Int -> a -> (1 _ : AnyPtr) -> PrimIO ()) -> (Fin (S size)) -> a -> (1 _ : SimplePolyArray (S size) a parent self) -> L IO {use=Linear} (SimplePolyArray (S size) a parent self)
writeArraySimplePolyGeneric writeArr loc to_write = assert_linear writeArraySimplePolyGeneric'
where
writeArraySimplePolyGeneric' : SimplePolyArray (S size) a parent self -> L IO {use=Linear} (SimplePolyArray (S size) a parent self)
writeArraySimplePolyGeneric' polyArr = do
let ptr = getPointerFromSimplePolyArray polyArr
liftIO1 (fromPrim (writeArr (conv loc) to_write ptr))
pure1 polyArr
readArraySimplePolyGeneric : (Int -> (1 _ : AnyPtr) -> PrimIO.PrimIO a) -> (Fin (S size)) -> (1 _ : SimplePolyArray (S size) a parent self) -> L IO {use=Linear} (SemiLinPair a (SimplePolyArray (S size) a parent self))
readArraySimplePolyGeneric readArr loc = assert_linear readArraySimplePolyGeneric'
where
readArraySimplePolyGeneric' : SimplePolyArray (S size) a parent self -> L IO {use=Linear} (SemiLinPair a (SimplePolyArray (S size) a parent self))
readArraySimplePolyGeneric' polyArr = do
let ptr = getPointerFromSimplePolyArray polyArr
val <- liftIO1 (fromPrim (readArr (conv loc) ptr))
pure1 $ val *? polyArr
public export
CType Int where
createArraySimplePoly = createArraySimplePolyGeneric allocIntArray_C
readArraySimplePoly = readArraySimplePolyGeneric readIntArray_C
writeArraySimplePoly = writeArraySimplePolyGeneric writeIntArray_C
-- Adding Chars
%foreign "C:create_char_array, pointer_functions"
allocCharArray_C : Int -> PrimIO AnyPtr
%foreign "C:write_char_array, pointer_functions"
writeCharArray_C : (loc : Int) -> (to_write : Char) -> (1 _ : AnyPtr) -> PrimIO ()
%foreign "C:read_char_array, pointer_functions"
readCharArray_C : (loc : Int) -> (1 _ : AnyPtr) -> PrimIO Char
public export
CType Char where
createArraySimplePoly = createArraySimplePolyGeneric allocCharArray_C
readArraySimplePoly = readArraySimplePolyGeneric readCharArray_C
writeArraySimplePoly = writeArraySimplePolyGeneric writeCharArray_C
{-
main : IO ()
main = runLin $ do
_ # ptr <- createArraySimplePoly 9
ptr <- writeArraySimplePoly 5 'k' ptr
ptr2 ?? ptr <- duplicateSimplePolyArray ptr
val *? ptr2 <- readArraySimplePoly 5 ptr2
print val
ptr <- freeKidSimplePolyArray ptr ptr2
freeArraySimplePoly ptr
-}
-- Move onto section 3.6 full polymorphism
-- TODO simple polymorphism with ValidInt + ValidChar
-- This is purely for explanation purposes so does not include code necessary for pointer duplaction
public export
data ValidType' = ValidInt' | ValidChar'
validTypeToType' : ValidType' -> Type
validTypeToType' ValidInt' = Int
validTypeToType' ValidChar' = Char
export
data PolyArr' : Nat -> ValidType' -> Type where
CreatePolyArr' : (len : Nat) -> SafePointer -> PolyArr' (S len) validType'
createArrayPolyGeneric' : (Int -> PrimIO AnyPtr) -> (size : Nat) -> L IO {use=1} (PolyArr' (S size) a)
createArrayPolyGeneric' allocArr size = do
ptr <- ConstructSafePointer <$> liftIO1 (fromPrim (allocArr (cast (S size))))
pure1 $ (CreatePolyArr' size ptr)
export
createPolyArr' : (size : Nat) -> (validType' : ValidType') -> L IO {use=1} (PolyArr' (S size) validType')
createPolyArr' size ValidInt' = createArrayPolyGeneric' allocIntArray_C size
createPolyArr' size ValidChar' = createArrayPolyGeneric' allocCharArray_C size
-- TODO implement the rest of this section, read write free with and without ConvertValidType big thing
-- Full polymorphism an Arrays
{-
--Create Arrays
%foreign "C:getArray, libsmall"
getArray : Int -> PrimIO (Ptr Int)
%foreign "C:getArray, libsmall"
getArrayChar : Int -> PrimIO (AnyPtr)
--Read Arrays
%foreign "C:readPointerOffset, libsmall"
readPointerOffset : Int -> (1 mem : AnyPtr) -> PrimIO Int
%foreign "C:readPointerOffsetChar, libsmall"
readPointerOffsetChar : Int -> (1 mem : AnyPtr) -> PrimIO Char
--Write Arrays
%foreign "C:writeOffset, libsmall"
writeOffset : Int -> (1 mem : AnyPtr) -> Int -> PrimIO ()
%foreign "C:writeOffsetChar, libsmall"
writeOffsetChar : Int -> (1 mem : AnyPtr) -> Char -> PrimIO ()
%foreign "C:freePointerChar, libsmall"
freePointerChar : (1 mem : Ptr Char) -> PrimIO ()
--Creating any Sized Struct
%foreign "C:createStruct, libsmall"
createStruct : Int -> PrimIO AnyPtr
--Getting data from structs
%foreign "C:getIntStruct, libsmall"
getIntStruct : AnyPtr -> Int -> PrimIO Int
%foreign "C:getCharStruct, libsmall"
getCharStruct : AnyPtr -> Int -> PrimIO Char
%foreign "C:getStructStruct, libsmall"
getStructStruct : AnyPtr -> Int -> PrimIO AnyPtr
--Writing to Structs
%foreign "C:writeIntStruct, libsmall"
writeIntStruct : AnyPtr -> (offset : Int) -> Int -> PrimIO ()
%foreign "C:writeCharStruct, libsmall"
writeCharStruct : AnyPtr -> (offset : Int) -> Char -> PrimIO ()
%foreign "C:writeStructStruct, libsmall"
writeStructStruct : AnyPtr -> (offset : Int) -> AnyPtr -> Int -> PrimIO ()
-}