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|
{-# LANGUAGE PatternSynonyms #-}
{-# LANGUAGE ViewPatterns #-}
{-# LANGUAGE OverloadedStrings #-}
{-# LANGUAGE FlexibleContexts #-}
{-# LANGUAGE LambdaCase #-}
{-# LANGUAGE PackageImports #-}
{-# LANGUAGE DeriveFunctor #-}
{-# LANGUAGE DeriveFoldable #-}
{-# LANGUAGE DeriveTraversable #-}
{-# OPTIONS_GHC -fno-warn-unused-binds #-} -- TODO: remove
module LambdaCube.Compiler.CoreToIR
( compilePipeline
) where
import Data.Char
import Data.List
import Data.Maybe
import Data.Monoid
import Data.Set (Set)
import qualified Data.Set as Set
import Data.Map (Map)
import qualified Data.Map as Map
import Data.Vector ((!))
import qualified Data.Vector as Vector
--import Control.Applicative
import Control.Arrow hiding ((<+>))
import Control.Monad.Writer
import Control.Monad.State
import Control.Monad.Reader
--import Control.Monad.Except
--import Control.Monad.Identity
--import Text.Parsec.Pos
--import Debug.Trace
import LambdaCube.IR(Backend(..))
import qualified LambdaCube.IR as IR
import qualified LambdaCube.Linear as IR
import LambdaCube.Compiler.Pretty hiding (parens)
import qualified LambdaCube.Compiler.Infer as I
import LambdaCube.Compiler.Infer (SName, Lit(..), Visibility(..))
--------------------------------------------------------------------------
type CG = State IR.Pipeline
pattern TFrameBuffer a b <- A2 "FrameBuffer" a b
emptyPipeline b = IR.Pipeline b mempty mempty mempty mempty mempty mempty mempty
update i x xs = xs Vector.// [(i,x)]
newTexture :: Int -> Int -> IR.ImageSemantic -> CG IR.TextureName
newTexture width height semantic = do
let sampleDescriptor = IR.SamplerDescriptor
{ IR.samplerWrapS = IR.Repeat
, IR.samplerWrapT = Nothing
, IR.samplerWrapR = Nothing
, IR.samplerMinFilter = IR.Linear
, IR.samplerMagFilter = IR.Linear
, IR.samplerBorderColor = IR.VV4F (IR.V4 0 0 0 1)
, IR.samplerMinLod = Nothing
, IR.samplerMaxLod = Nothing
, IR.samplerLodBias = 0
, IR.samplerCompareFunc = Nothing
}
textureDescriptor = IR.TextureDescriptor
{ IR.textureType = IR.Texture2D (if semantic == IR.Color then IR.FloatT IR.RGBA else IR.FloatT IR.Red) 1
, IR.textureSize = IR.VV2U $ IR.V2 (fromIntegral width) (fromIntegral height)
, IR.textureSemantic = semantic
, IR.textureSampler = sampleDescriptor
, IR.textureBaseLevel = 0
, IR.textureMaxLevel = 0
}
tv <- gets IR.textures
modify (\s -> s {IR.textures = tv <> pure textureDescriptor})
return $ length tv
newFrameBufferTarget :: Ty -> CG IR.RenderTargetName
newFrameBufferTarget (TFrameBuffer _ a) = do
let t = IR.RenderTarget $ Vector.fromList [IR.TargetItem s (Just (IR.Framebuffer s)) | s <- compSemantics a]
tv <- gets IR.targets
modify (\s -> s {IR.targets = tv <> pure t})
return $ length tv
newFrameBufferTarget x = error $ "newFrameBufferTarget illegal target type: " ++ ppShow x
newTextureTarget :: Int -> Int -> Ty -> CG IR.RenderTargetName
newTextureTarget w h (TFrameBuffer _ a) = do
tl <- forM (compSemantics a) $ \s -> do
texture <- newTexture w h s
return $ IR.TargetItem s (Just (IR.TextureImage texture 0 Nothing))
tv <- gets IR.targets
modify (\s -> s {IR.targets = tv <> pure (IR.RenderTarget $ Vector.fromList tl)})
return $ Vector.length tv
newTextureTarget _ _ x = error $ "newTextureTarget illegal target type: " ++ ppShow x
compilePipeline :: IR.Backend -> I.ExpType -> IR.Pipeline
compilePipeline b e = flip execState (emptyPipeline b) $ do
(subCmds,cmds) <- getCommands $ toExp e
modify (\s -> s {IR.commands = Vector.fromList subCmds <> Vector.fromList cmds})
mergeSlot a b = a
{ IR.slotUniforms = IR.slotUniforms a <> IR.slotUniforms b
, IR.slotStreams = IR.slotStreams a <> IR.slotStreams b
, IR.slotPrograms = IR.slotPrograms a <> IR.slotPrograms b
}
getSlot :: Exp -> CG (IR.Command,[(String,IR.InputType)])
getSlot e@(Prim2 "fetch_" (EString slotName) attrs) = do
let input = compAttribute attrs
slot = IR.Slot
{ IR.slotName = slotName
, IR.slotUniforms = mempty
, IR.slotStreams = Map.fromList input
, IR.slotPrimitive = compFetchPrimitive $ getPrim $ tyOf e
, IR.slotPrograms = mempty
}
sv <- gets IR.slots
case Vector.findIndex ((slotName ==) . IR.slotName) sv of
Nothing -> do
modify (\s -> s {IR.slots = sv <> pure slot})
return (IR.RenderSlot $ length sv,input)
Just i -> do
modify (\s -> s {IR.slots = update i (mergeSlot (sv ! i) slot) sv})
return (IR.RenderSlot i,input)
getSlot e@(Prim1 "fetchArrays_" attrs) = do
let (input,values) = unzip [((name,ty),(name,value)) | (i,(ty,value)) <- zip [0..] (compAttributeValue attrs), let name = "attribute_" ++ show i]
stream = IR.StreamData
{ IR.streamData = Map.fromList values
, IR.streamType = Map.fromList input
, IR.streamPrimitive = compFetchPrimitive $ getPrim $ tyOf e
, IR.streamPrograms = mempty
}
sv <- gets IR.streams
modify (\s -> s {IR.streams = sv <> pure stream})
return (IR.RenderStream $ length sv,input)
getSlot x = error $ "getSlot: " ++ ppShow x
getPrim (A1 "List" (A2 "Primitive" _ p)) = p
getPrim' (A1 "List" (A2 "Primitive" a _)) = a
getPrim'' (A1 "List" (A2 "Vector" _ (A1 "Maybe" (A1 "SimpleFragment" a)))) = a
getPrim'' x = error $ "getPrim'':" ++ ppShow x
addProgramToSlot :: IR.ProgramName -> IR.Command -> CG ()
addProgramToSlot prgName (IR.RenderSlot slotName) = do
sv <- gets IR.slots
pv <- gets IR.programs
let slot = sv ! slotName
prg = pv ! prgName
slot' = slot
{ IR.slotUniforms = IR.slotUniforms slot <> IR.programUniforms prg
, IR.slotPrograms = IR.slotPrograms slot <> pure prgName
}
modify (\s -> s {IR.slots = update slotName slot' sv})
addProgramToSlot prgName (IR.RenderStream streamName) = do
sv <- gets IR.streams
pv <- gets IR.programs
let stream = sv ! streamName
prg = pv ! prgName
stream' = stream
{ IR.streamPrograms = IR.streamPrograms stream <> pure prgName
}
modify (\s -> s {IR.streams = update streamName stream' sv})
getProgram :: [(String,IR.InputType)] -> IR.Command -> Exp -> Exp -> Exp -> Exp -> Maybe Exp -> CG IR.ProgramName
getProgram input slot rp is vert frag ffilter = do
backend <- gets IR.backend
let ((vertexInput,vertOut),vertSrc) = genVertexGLSL backend rp is vert
fragSrc = genFragmentGLSL backend pUniforms vertOut frag ffilter
pUniforms = Map.fromList $ Set.toList $ getUniforms vert <> getUniforms rp <> getUniforms frag <> maybe mempty getUniforms ffilter
prg = IR.Program
{ IR.programUniforms = pUniforms
, IR.programStreams = Map.fromList $ zip vertexInput $ map (uncurry IR.Parameter) input
, IR.programInTextures = Map.fromList $ Set.toList $ getSamplerUniforms vert <> getSamplerUniforms rp <> getSamplerUniforms frag <> maybe mempty getSamplerUniforms ffilter
, IR.programOutput = pure $ IR.Parameter "f0" IR.V4F -- TODO
, IR.vertexShader = vertSrc
, IR.geometryShader = mempty -- TODO
, IR.fragmentShader = fragSrc
}
pv <- gets IR.programs
modify (\s -> s {IR.programs = pv <> pure prg})
let prgName = length pv
addProgramToSlot prgName slot
return prgName
getRenderTextures :: Exp -> [Exp]
getRenderTextures e = case e of
ELet (PVar (A0 "Sampler") _) (A3 "Sampler" _ _ (A2 "Texture2D" _ _)) _ -> [e]
Exp e -> foldMap getRenderTextures e
type SamplerBinding = (IR.UniformName,IR.ImageRef)
getRenderTextureCommands :: Exp -> CG ([SamplerBinding],[IR.Command])
getRenderTextureCommands e = foldM (\(a,b) x -> f x >>= (\(c,d) -> return (c:a,d ++ b))) mempty (getRenderTextures e)
where
f = \case
ELet (PVar t n) (A3 "Sampler" _ _ (A2 "Texture2D" (A2 "V2" (EInt w) (EInt h)) (Prim1 "PrjImageColor" a))) _ -> do
rt <- newTextureTarget (fromIntegral w) (fromIntegral h) (tyOf a)
tv <- gets IR.targets
let IR.RenderTarget (Vector.toList -> [_,IR.TargetItem IR.Color (Just (IR.TextureImage texture _ _))]) = tv ! rt
(subCmds,cmds) <- getCommands a
return ((n,IR.TextureImage texture 0 Nothing), subCmds <> (IR.SetRenderTarget rt:cmds))
ELet (PVar t n) (A3 "Sampler" _ _ (A2 "Texture2D" (A2 "V2" (EInt w) (EInt h)) (Prim1 "PrjImage" a))) _ -> do
rt <- newTextureTarget (fromIntegral w) (fromIntegral h) (tyOf a)
tv <- gets IR.targets
let IR.RenderTarget (Vector.toList -> [IR.TargetItem IR.Color (Just (IR.TextureImage texture _ _))]) = tv ! rt
(subCmds,cmds) <- getCommands a
return ((n,IR.TextureImage texture 0 Nothing), subCmds <> (IR.SetRenderTarget rt:cmds))
x -> error $ "getRenderTextureCommands: not supported render texture exp: " ++ ppShow x
getFragFilter (Prim2 "map" (EtaPrim2 "filterFragment" p) x) = (Just p, x)
getFragFilter x = (Nothing, x)
getVertexShader (Prim2 "map" (EtaPrim2 "mapPrimitive" f) x) = (f, x)
getVertexShader x = (idFun $ getPrim' $ tyOf x, x)
getFragmentShader (Prim2 "map" (EtaPrim2 "mapFragment" f) x) = (f, x)
getFragmentShader x = (idFun $ getPrim'' $ tyOf x, x)
removeDepthHandler (Prim2 "map" (EtaPrim1 "noDepth") x) = x
removeDepthHandler x = x
getCommands :: Exp -> CG ([IR.Command],[IR.Command])
getCommands e = case e of
A1 "ScreenOut" a -> do
rt <- newFrameBufferTarget (tyOf a)
(subCmds,cmds) <- getCommands a
return (subCmds,IR.SetRenderTarget rt : cmds)
Prim3 "Accumulate" actx (getFragmentShader . removeDepthHandler -> (frag, getFragFilter -> (ffilter, Prim3 "foldr" (EtaPrim2_2 "++") (A0 "Nil") (Prim2 "map" (EtaPrim3 "rasterizePrimitive" is rctx) (getVertexShader -> (vert, input)))))) fbuf -> do
let rp = compRC' rctx
(smpBindingsV,vertCmds) <- getRenderTextureCommands vert
(smpBindingsR,rastCmds) <- maybe (return mempty) getRenderTextureCommands ffilter
(smpBindingsP,raspCmds) <- getRenderTextureCommands rp
(smpBindingsF,fragCmds) <- getRenderTextureCommands frag
(renderCommand,input) <- getSlot input
prog <- getProgram input renderCommand rp is vert frag ffilter
(subFbufCmds, fbufCommands) <- getCommands fbuf
programs <- gets IR.programs
let textureUniforms = [IR.SetSamplerUniform n textureUnit | ((n,IR.FTexture2D),textureUnit) <- zip (Map.toList $ IR.programUniforms $ programs ! prog) [0..]]
cmds =
[ IR.SetProgram prog ] <>
textureUniforms <>
concat -- TODO: generate IR.SetSamplerUniform commands for texture slots
[ [ IR.SetTexture textureUnit texture
, IR.SetSamplerUniform name textureUnit
] | (textureUnit,(name,IR.TextureImage texture _ _)) <- zip [length textureUniforms..] (smpBindingsV <> smpBindingsP <> smpBindingsR <> smpBindingsF)
] <>
[ IR.SetRasterContext (compRC rctx)
, IR.SetAccumulationContext (compAC actx)
, renderCommand
]
return (subFbufCmds <> vertCmds <> raspCmds <> rastCmds <> fragCmds, fbufCommands <> cmds)
Prim1 "FrameBuffer" a -> return ([],[IR.ClearRenderTarget (Vector.fromList $ map (uncurry IR.ClearImage) $ compFrameBuffer a)])
x -> error $ "getCommands " ++ ppShow x
getSamplerUniforms :: Exp -> Set (String,IR.InputType)
getSamplerUniforms e = case e of
ELet (PVar _ _) (A3 "Sampler" _ _ (A1 "Texture2DSlot" (EString s))) _ -> Set.singleton (s, IR.FTexture2D{-compInputType $ tyOf e-}) -- TODO
ELet (PVar _ n) (A3 "Sampler" _ _ (A2 "Texture2D" _ _)) _ -> Set.singleton (n, IR.FTexture2D)
Exp e -> foldMap getSamplerUniforms e
getUniforms :: Exp -> Set (String,IR.InputType)
getUniforms e = case e of
Uniform s -> Set.singleton (s, compInputType $ tyOf e)
ELet (PVar _ _) (A3 "Sampler" _ _ (A1 "Texture2DSlot" (EString s))) _ -> Set.singleton (s, IR.FTexture2D{-compInputType $ tyOf e-}) -- TODO
ELet (PVar _ _) (A3 "Sampler" _ _ (A2 "Texture2D" _ _)) _ -> mempty
Exp e -> foldMap getUniforms e
compFrameBuffer x = case x of
ETuple a -> concatMap compFrameBuffer a
Prim1 "DepthImage" a -> [(IR.Depth, compValue a)]
Prim1 "ColorImage" a -> [(IR.Color, compValue a)]
x -> error $ "compFrameBuffer " ++ ppShow x
compSemantics x = case x of
A2 "Cons" a b -> compSemantic a: compSemantics b
A0 "Nil" -> []
x -> error $ "compSemantics: " ++ ppShow x
compSemantic x = case x of
A1 "Depth" _ -> IR.Depth
A1 "Stencil" _ -> IR.Stencil
A1 "Color" _ -> IR.Color
x -> error $ "compSemantic: " ++ ppShow x
compAC x = IR.AccumulationContext Nothing $ map compFrag $ case x of
ETuple a -> a
a -> [a]
compBlending x = case x of
A0 "NoBlending" -> IR.NoBlending
A1 "BlendLogicOp" a -> IR.BlendLogicOp (compLO a)
A3 "Blend" (ETuple [a,b]) (ETuple [ETuple [c,d],ETuple [e,f]]) (compValue -> IR.VV4F g) -> IR.Blend (compBE a) (compBE b) (compBF c) (compBF d) (compBF e) (compBF f) g
x -> error $ "compBlending " ++ ppShow x
compBF x = case x of
A0 "Zero'" -> IR.Zero
A0 "One" -> IR.One
A0 "SrcColor" -> IR.SrcColor
A0 "OneMinusSrcColor" -> IR.OneMinusSrcColor
A0 "DstColor" -> IR.DstColor
A0 "OneMinusDstColor" -> IR.OneMinusDstColor
A0 "SrcAlpha" -> IR.SrcAlpha
A0 "OneMinusSrcAlpha" -> IR.OneMinusSrcAlpha
A0 "DstAlpha" -> IR.DstAlpha
A0 "OneMinusDstAlpha" -> IR.OneMinusDstAlpha
A0 "ConstantColor" -> IR.ConstantColor
A0 "OneMinusConstantColor" -> IR.OneMinusConstantColor
A0 "ConstantAlpha" -> IR.ConstantAlpha
A0 "OneMinusConstantAlpha" -> IR.OneMinusConstantAlpha
A0 "SrcAlphaSaturate" -> IR.SrcAlphaSaturate
x -> error $ "compBF " ++ ppShow x
compBE x = case x of
A0 "FuncAdd" -> IR.FuncAdd
A0 "FuncSubtract" -> IR.FuncSubtract
A0 "FuncReverseSubtract" -> IR.FuncReverseSubtract
A0 "Min" -> IR.Min
A0 "Max" -> IR.Max
x -> error $ "compBE " ++ ppShow x
compLO x = case x of
A0 "Clear" -> IR.Clear
A0 "And" -> IR.And
A0 "AndReverse" -> IR.AndReverse
A0 "Copy" -> IR.Copy
A0 "AndInverted" -> IR.AndInverted
A0 "Noop" -> IR.Noop
A0 "Xor" -> IR.Xor
A0 "Or" -> IR.Or
A0 "Nor" -> IR.Nor
A0 "Equiv" -> IR.Equiv
A0 "Invert" -> IR.Invert
A0 "OrReverse" -> IR.OrReverse
A0 "CopyInverted" -> IR.CopyInverted
A0 "OrInverted" -> IR.OrInverted
A0 "Nand" -> IR.Nand
A0 "Set" -> IR.Set
x -> error $ "compLO " ++ ppShow x
compComparisonFunction x = case x of
A0 "Never" -> IR.Never
A0 "Less" -> IR.Less
A0 "Equal" -> IR.Equal
A0 "Lequal" -> IR.Lequal
A0 "Greater" -> IR.Greater
A0 "Notequal" -> IR.Notequal
A0 "Gequal" -> IR.Gequal
A0 "Always" -> IR.Always
x -> error $ "compComparisonFunction " ++ ppShow x
pattern EBool a <- (compBool -> Just a)
compBool x = case x of
A0 "True" -> Just True
A0 "False" -> Just False
x -> Nothing
compFrag x = case x of
A2 "DepthOp" (compComparisonFunction -> a) (EBool b) -> IR.DepthOp a b
A2 "ColorOp" (compBlending -> b) (compValue -> v) -> IR.ColorOp b v
x -> error $ "compFrag " ++ ppShow x
compInputType x = case x of
TFloat -> IR.Float
TVec 2 TFloat -> IR.V2F
TVec 3 TFloat -> IR.V3F
TVec 4 TFloat -> IR.V4F
TBool -> IR.Bool
TVec 2 TBool -> IR.V2B
TVec 3 TBool -> IR.V3B
TVec 4 TBool -> IR.V4B
TInt -> IR.Int
TVec 2 TInt -> IR.V2I
TVec 3 TInt -> IR.V3I
TVec 4 TInt -> IR.V4I
TWord -> IR.Word
TVec 2 TWord -> IR.V2U
TVec 3 TWord -> IR.V3U
TVec 4 TWord -> IR.V4U
TMat 2 2 TFloat -> IR.M22F
TMat 2 3 TFloat -> IR.M23F
TMat 2 4 TFloat -> IR.M24F
TMat 3 2 TFloat -> IR.M32F
TMat 3 3 TFloat -> IR.M33F
TMat 3 4 TFloat -> IR.M34F
TMat 4 2 TFloat -> IR.M42F
TMat 4 3 TFloat -> IR.M43F
TMat 4 4 TFloat -> IR.M44F
x -> error $ "compInputType " ++ ppShow x
compAttribute x = case x of
ETuple a -> concatMap compAttribute a
Prim1 "Attribute" (EString s) -> [(s, compInputType $ tyOf x)]
x -> error $ "compAttribute " ++ ppShow x
compAttributeValue :: Exp -> [(IR.InputType,IR.ArrayValue)]
compAttributeValue x = let
compList (A2 "Cons" a x) = compValue a : compList x
compList (A0 "Nil") = []
compList x = error $ "compList: " ++ ppShow x
emptyArray t | t `elem` [IR.Float,IR.V2F,IR.V3F,IR.V4F,IR.M22F,IR.M23F,IR.M24F,IR.M32F,IR.M33F,IR.M34F,IR.M42F,IR.M43F,IR.M44F] = IR.VFloatArray mempty
emptyArray t | t `elem` [IR.Int,IR.V2I,IR.V3I,IR.V4I] = IR.VIntArray mempty
emptyArray t | t `elem` [IR.Word,IR.V2U,IR.V3U,IR.V4U] = IR.VWordArray mempty
emptyArray t | t `elem` [IR.Bool,IR.V2B,IR.V3B,IR.V4B] = IR.VBoolArray mempty
emptyArray _ = error "compAttributeValue - emptyArray"
flatten IR.Float (IR.VFloat x) (IR.VFloatArray l) = IR.VFloatArray $ pure x <> l
flatten IR.V2F (IR.VV2F (IR.V2 x y)) (IR.VFloatArray l) = IR.VFloatArray $ pure x <> pure y <> l
flatten IR.V3F (IR.VV3F (IR.V3 x y z)) (IR.VFloatArray l) = IR.VFloatArray $ pure x <> pure y <> pure z <> l
flatten IR.V4F (IR.VV4F (IR.V4 x y z w)) (IR.VFloatArray l) = IR.VFloatArray $ pure x <> pure y <> pure z <> pure w <> l
flatten _ _ _ = error "compAttributeValue"
checkLength l@((a,_):_) = case all (\(i,_) -> i == a) l of
True -> snd $ unzip l
False -> error "FetchArrays array length mismatch!"
go = \case
ETuple a -> concatMap go a
a -> let A1 "List" (compInputType -> t) = tyOf a
values = compList a
in
[(length values,(t,foldr (flatten t) (emptyArray t) values))]
in checkLength $ go x
compFetchPrimitive x = case x of
A0 "Point" -> IR.Points
A0 "Line" -> IR.Lines
A0 "Triangle" -> IR.Triangles
A0 "LineAdjacency" -> IR.LinesAdjacency
A0 "TriangleAdjacency" -> IR.TrianglesAdjacency
x -> error $ "compFetchPrimitive " ++ ppShow x
compValue x = case x of
EFloat a -> IR.VFloat $ realToFrac a
EInt a -> IR.VInt $ fromIntegral a
A2 "V2" (EFloat a) (EFloat b) -> IR.VV2F $ IR.V2 (realToFrac a) (realToFrac b)
A3 "V3" (EFloat a) (EFloat b) (EFloat c) -> IR.VV3F $ IR.V3 (realToFrac a) (realToFrac b) (realToFrac c)
A4 "V4" (EFloat a) (EFloat b) (EFloat c) (EFloat d) -> IR.VV4F $ IR.V4 (realToFrac a) (realToFrac b) (realToFrac c) (realToFrac d)
A2 "V2" (EBool a) (EBool b) -> IR.VV2B $ IR.V2 a b
A3 "V3" (EBool a) (EBool b) (EBool c) -> IR.VV3B $ IR.V3 a b c
A4 "V4" (EBool a) (EBool b) (EBool c) (EBool d) -> IR.VV4B $ IR.V4 a b c d
x -> error $ "compValue " ++ ppShow x
compRC x = case x of
A3 "PointCtx" a (EFloat b) c -> IR.PointCtx (compPS a) (realToFrac b) (compPSCO c)
A2 "LineCtx" (EFloat a) b -> IR.LineCtx (realToFrac a) (compPV b)
A4 "TriangleCtx" a b c d -> IR.TriangleCtx (compCM a) (compPM b) (compPO c) (compPV d)
x -> error $ "compRC " ++ ppShow x
compRC' x = case x of
A3 "PointCtx" a _ _ -> compPS' a
A4 "TriangleCtx" _ b _ _ -> compPM' b
x -> defaultPointSizeFun $ case tyOf x of A2 "RasterContext" t _ -> t
compPSCO x = case x of
A0 "LowerLeft" -> IR.LowerLeft
A0 "UpperLeft" -> IR.UpperLeft
x -> error $ "compPSCO " ++ ppShow x
compCM x = case x of
A0 "CullNone" -> IR.CullNone
A0 "CullFront" -> IR.CullFront IR.CCW
A0 "CullBack" -> IR.CullBack IR.CCW
x -> error $ "compCM " ++ ppShow x
compPM x = case x of
A0 "PolygonFill" -> IR.PolygonFill
A1 "PolygonLine" (EFloat a) -> IR.PolygonLine $ realToFrac a
A1 "PolygonPoint" a -> IR.PolygonPoint $ compPS a
x -> error $ "compPM " ++ ppShow x
compPM' x = case x of
A1 "PolygonPoint" a -> compPS' a
x -> defaultPointSizeFun $ case tyOf x of A1 "PolygonMode" t -> t
compPS x = case x of
A1 "PointSize" (EFloat a) -> IR.PointSize $ realToFrac a
A1 "ProgramPointSize" _ -> IR.ProgramPointSize
x -> error $ "compPS " ++ ppShow x
compPS' x = case x of
A1 "ProgramPointSize" x -> x
x -> defaultPointSizeFun $ case tyOf x of A1 "PointSize" t -> t
compPO x = case x of
A2 "Offset" (EFloat a) (EFloat b) -> IR.Offset (realToFrac a) (realToFrac b)
A0 "NoOffset" -> IR.NoOffset
x -> error $ "compPO " ++ ppShow x
compPV x = case x of
A0 "FirstVertex" -> IR.FirstVertex
A0 "LastVertex" -> IR.LastVertex
x -> error $ "compPV " ++ ppShow x
--------------------------------------------------------------- GLSL generation
{-
mangleIdent :: String -> String
mangleIdent n = '_': concatMap encodeChar n
where
encodeChar = \case
c | isAlphaNum c -> [c]
'_' -> "__"
'.' -> "_dot"
'$' -> "_dollar"
'~' -> "_tilde"
'=' -> "_eq"
'<' -> "_less"
'>' -> "_greater"
'!' -> "_bang"
'#' -> "_hash"
'%' -> "_percent"
'^' -> "_up"
'&' -> "_amp"
'|' -> "_bar"
'*' -> "_times"
'/' -> "_div"
'+' -> "_plus"
'-' -> "_minus"
':' -> "_colon"
'\\' -> "_bslash"
'?' -> "_qmark"
'@' -> "_at"
'\'' -> "_prime"
c -> '$' : show (ord c)
-}
genUniforms :: Exp -> Set [String]
genUniforms e = case e of
Uniform s -> Set.singleton [unwords ["uniform",toGLSLType "1" $ tyOf e,s,";"]]
ELet (PVar _ _) (A3 "Sampler" _ _ (A1 "Texture2DSlot" (EString n))) _ -> Set.singleton [unwords ["uniform","sampler2D",n,";"]]
ELet (PVar _ n) (A3 "Sampler" _ _ (A2 "Texture2D" _ _)) _ -> Set.singleton [unwords ["uniform","sampler2D",n,";"]]
Exp e -> foldMap genUniforms e
type GLSL = Writer [String]
genStreamInput :: Backend -> Pat -> GLSL [String]
genStreamInput backend i = fmap concat $ mapM input $ case i of
PTuple l -> l
x -> [x]
where
input (PVar t n) = tell [unwords [inputDef,toGLSLType (n ++ " " ++ "\n") t,n,";"]] >> return [n]
input a = error $ "genStreamInput " ++ ppShow a
inputDef = case backend of
OpenGL33 -> "in"
WebGL1 -> "attribute"
streamInput :: Pat -> [String]
streamInput i = concatMap input $ case i of
PTuple l -> l
x -> [x]
where
input (PVar t n) = [n]
input a = error $ "streamInput " ++ ppShow a
genStreamOutput :: Backend -> Exp -> [Exp] -> GLSL [(String, String, String)]
genStreamOutput backend (eTuple -> is) l = fmap concat $ zipWithM go (map (("vv" ++) . show) [0..]) $ zip is l
where
go var (A0 (f -> i), toGLSLType "3" . tyOf -> t) = do
tell $ case backend of
WebGL1 -> [unwords ["varying",t,var,";"]]
OpenGL33 -> [unwords [i,"out",t,var,";"]]
return [(i,t,var)]
f "Smooth" = "smooth"
f "Flat" = "flat"
f "NoPerspective" = "noperspective"
eTuple (ETuple l) = l
eTuple x = [x]
genFragmentInput :: Backend -> [(String, String, String)] -> GLSL ()
genFragmentInput OpenGL33 s = tell [unwords [i,"in",t,n,";"] | (i,t,n) <- s]
genFragmentInput WebGL1 s = tell [unwords ["varying",t,n,";"] | (i,t,n) <- s]
genFragmentOutput backend (tyOf -> a@(toGLSLType "4" -> t)) = case a of
TUnit -> return False
_ -> case backend of
OpenGL33 -> tell [unwords ["out",t,"f0",";"]] >> return True
WebGL1 -> return True
shaderHeader = \case
OpenGL33 -> do
tell ["#version 330 core"]
tell ["vec4 texture2D(sampler2D s, vec2 uv){return texture(s,uv);}"]
WebGL1 -> do
tell ["#version 100"]
tell ["precision highp float;"]
tell ["precision highp int;"]
defaultPointSizeFun t = ELam (PVar t "dps") $ EFloat 1
genVertexGLSL :: Backend -> Exp -> Exp -> Exp -> (([String],[(String,String,String)]),String)
genVertexGLSL backend rp@(etaRed -> ELam is s) ints e@(etaRed -> ELam i o) = second unlines $ runWriter $ do
shaderHeader backend
mapM_ tell $ foldMap genUniforms [e, rp]
input <- genStreamInput backend i
out <- genStreamOutput backend ints $ tail $ eTuple o
tell ["void main() {"]
unless (null out) $ sequence_ [tell [var <> " = " <> genGLSL x <> ";"] | ((_,_,var),x) <- zip out $ tail $ eTuple o]
tell ["gl_Position = " <> genGLSL (head $ eTuple o) <> ";"]
tell ["gl_PointSize = " <> show (genGLSLSubst (Map.fromList $ zip (streamInput is) $ map (\(_,_,var) -> var) out) s) <> ";"]
tell ["}"]
return (input,out)
genVertexGLSL _ _ _ e = error $ "genVertexGLSL: " ++ ppShow e
genGLSL :: Exp -> String
genGLSL e = show $ genGLSLSubst mempty e
genFragmentGLSL :: Backend -> Map String IR.InputType -> [(String,String,String)] -> Exp -> Maybe Exp -> String
genFragmentGLSL backend unifs s e@(etaRed -> ELam i o) ffilter = unlines $ execWriter $ do
shaderHeader backend
mapM_ tell $ foldMap genUniforms $ maybe [e] ((e:) . (:[])) ffilter -- todo: use unifs?
genFragmentInput backend s
hasOutput <- genFragmentOutput backend o
tell ["void main() {"]
case ffilter of
Nothing -> return ()
Just (etaRed -> ELam i o) -> tell ["if (!(" <> show (genGLSLSubst (makeSubst i s) o) <> ")) discard;"]
when hasOutput $ case backend of
OpenGL33 -> tell ["f0 = " <> show (genGLSLSubst (makeSubst i s) o) <> ";"]
WebGL1 -> tell ["gl_FragColor = " <> show (genGLSLSubst (makeSubst i s) o) <> ";"]
tell ["}"]
genFragmentGLSL _ _ _ e ff = error $ "genFragmentGLSL: " ++ ppShow e ++ ppShow ff
makeSubst (PVar _ x) [(_,_,n)] = Map.singleton x n
makeSubst (PTuple l) x = Map.fromList $ go l x where
go [] [] = []
go (PVar _ x: al) ((_,_,n):bl) = (x,n) : go al bl
go i s = error $ "makeSubst illegal input " ++ ppShow i ++ " " ++ show s
parens a = "(" <+> a <+> ")"
-- todo: (on hold) name mangling to prevent name collisions
-- todo: reader monad
genGLSLSubst :: Map String String -> Exp -> Doc
genGLSLSubst s e = case e of
ELit a -> text $ show a
EVar a -> text $ Map.findWithDefault a a s
Uniform s -> text s
-- texturing
A3 "Sampler" _ _ _ -> error "sampler GLSL codegen is not supported"
PrimN "texture2D" xs -> functionCall "texture2D" xs
-- temp builtins FIXME: get rid of these
Prim1 "primIntToWord" a -> error $ "WebGL 1 does not support uint types: " ++ ppShow e
Prim1 "primIntToFloat" a -> gen a -- FIXME: does GLSL support implicit int to float cast???
Prim2 "primCompareInt" a b -> error $ "GLSL codegen does not support: " ++ ppShow e
Prim2 "primCompareWord" a b -> error $ "GLSL codegen does not support: " ++ ppShow e
Prim2 "primCompareFloat" a b -> error $ "GLSL codegen does not support: " ++ ppShow e
Prim1 "primNegateInt" a -> text "-" <+> parens (gen a)
Prim1 "primNegateWord" a -> error $ "WebGL 1 does not support uint types: " ++ ppShow e
Prim1 "primNegateFloat" a -> text "-" <+> parens (gen a)
-- vectors
AN n xs | n `elem` ["V2", "V3", "V4"], Just s <- vecConName $ tyOf e -> functionCall s xs
-- bool
A0 "True" -> text "true"
A0 "False" -> text "false"
-- matrices
AN "M22F" xs -> functionCall "mat2" xs
AN "M23F" xs -> error "WebGL 1 does not support matrices with this dimension"
AN "M24F" xs -> error "WebGL 1 does not support matrices with this dimension"
AN "M32F" xs -> error "WebGL 1 does not support matrices with this dimension"
AN "M33F" xs -> functionCall "mat3" xs
AN "M34F" xs -> error "WebGL 1 does not support matrices with this dimension"
AN "M42F" xs -> error "WebGL 1 does not support matrices with this dimension"
AN "M43F" xs -> error "WebGL 1 does not support matrices with this dimension"
AN "M44F" xs -> functionCall "mat4" xs -- where gen = gen
Prim3 "primIfThenElse" a b c -> gen a <+> "?" <+> gen b <+> ":" <+> gen c
-- TODO: Texture Lookup Functions
SwizzProj a x -> "(" <+> gen a <+> (")." <> text x)
ELam _ _ -> error "GLSL codegen for lambda function is not supported yet"
ELet (PVar _ _) (A3 "Sampler" _ _ (A1 "Texture2DSlot" (EString n))) _ -> text n
ELet (PVar _ n) (A3 "Sampler" _ _ (A2 "Texture2D" _ _)) _ -> text n
ELet{} -> error "GLSL codegen for let is not supported yet"
ETuple _ -> error "GLSL codegen for tuple is not supported yet"
-- Primitive Functions
PrimN "==" xs -> binOp "==" xs
PrimN ('P':'r':'i':'m':n) xs | n'@(_:_) <- trName (dropS n) -> case n' of
(c:_) | isAlpha c -> functionCall n' xs
[op, '_'] -> prefixOp [op] xs
n' -> binOp n' xs
where
ifType p a b = if all (p . tyOf) xs then a else b
dropS n
| last n == 'S' && init n `elem` ["Add", "Sub", "Div", "Mod", "BAnd", "BOr", "BXor", "BShiftL", "BShiftR", "Min", "Max", "Clamp", "Mix", "Step", "SmoothStep"] = init n
| otherwise = n
trName = \case
-- Arithmetic Functions
"Add" -> "+"
"Sub" -> "-"
"Neg" -> "-_"
"Mul" -> ifType isMatrix "matrixCompMult" "*"
"MulS" -> "*"
"Div" -> "/"
"Mod" -> ifType isIntegral "%" "mod"
-- Bit-wise Functions
"BAnd" -> "&"
"BOr" -> "|"
"BXor" -> "^"
"BNot" -> "~_"
"BShiftL" -> "<<"
"BShiftR" -> ">>"
-- Logic Functions
"And" -> "&&"
"Or" -> "||"
"Xor" -> "^"
"Not" -> ifType isScalar "!_" "not"
-- Integer/Float Conversion Functions
"FloatBitsToInt" -> "floatBitsToInt"
"FloatBitsToUInt" -> "floatBitsToUint"
"IntBitsToFloat" -> "intBitsToFloat"
"UIntBitsToFloat" -> "uintBitsToFloat"
-- Matrix Functions
"OuterProduct" -> "outerProduct"
"MulMatVec" -> "*"
"MulVecMat" -> "*"
"MulMatMat" -> "*"
-- Fragment Processing Functions
"DFdx" -> "dFdx"
"DFdy" -> "dFdy"
-- Vector and Scalar Relational Functions
"LessThan" -> ifType isScalarNum "<" "lessThan"
"LessThanEqual" -> ifType isScalarNum "<=" "lessThanEqual"
"GreaterThan" -> ifType isScalarNum ">" "greaterThan"
"GreaterThanEqual" -> ifType isScalarNum ">=" "greaterThanEqual"
"Equal" -> "=="
"EqualV" -> ifType isScalar "==" "equal"
"NotEqual" -> "!="
"NotEqualV" -> ifType isScalar "!=" "notEqual"
-- Angle and Trigonometry Functions
"ATan2" -> "atan"
-- Exponential Functions
"InvSqrt" -> "inversesqrt"
-- Common Functions
"RoundEven" -> "roundEven"
"ModF" -> error "PrimModF is not implemented yet!" -- TODO
"MixB" -> "mix"
n | n `elem`
-- Logic Functions
[ "Any", "All"
-- Angle and Trigonometry Functions
, "ACos", "ACosH", "ASin", "ASinH", "ATan", "ATanH", "Cos", "CosH", "Degrees", "Radians", "Sin", "SinH", "Tan", "TanH"
-- Exponential Functions
, "Pow", "Exp", "Exp2", "Log2", "Sqrt"
-- Common Functions
, "IsNan", "IsInf", "Abs", "Sign", "Floor", "Trunc", "Round", "Ceil", "Fract", "Min", "Max", "Mix", "Step", "SmoothStep"
-- Geometric Functions
, "Length", "Distance", "Dot", "Cross", "Normalize", "FaceForward", "Reflect", "Refract"
-- Matrix Functions
, "Transpose", "Determinant", "Inverse"
-- Fragment Processing Functions
, "FWidth"
-- Noise Functions
, "Noise1", "Noise2", "Noise3", "Noise4"
] -> map toLower n
_ -> ""
x -> error $ "GLSL codegen - unsupported expression: " ++ ppShow x
where
prefixOp o [a] = text o <+> parens (gen a)
binOp o [a, b] = parens (gen a) <+> text o <+> parens (gen b)
functionCall f a = text f <+> parens (hcat $ intersperse "," $ map gen a)
gen = genGLSLSubst s
isMatrix :: Ty -> Bool
isMatrix TMat{} = True
isMatrix _ = False
isIntegral :: Ty -> Bool
isIntegral TWord = True
isIntegral TInt = True
isIntegral (TVec _ TWord) = True
isIntegral (TVec _ TInt) = True
isIntegral _ = False
isScalarNum :: Ty -> Bool
isScalarNum = \case
TInt -> True
TWord -> True
TFloat -> True
_ -> False
isScalar :: Ty -> Bool
isScalar = isJust . scalarType
scalarType = \case
TBool -> Just "b"
TWord -> Just "u"
TInt -> Just "i"
TFloat -> Just ""
_ -> Nothing
vecConName = \case
TVec n t | is234 n, Just s <- scalarType t -> Just $ s ++ "vec" ++ show n
t -> Nothing
toGLSLType msg = \case
TBool -> "bool"
TWord -> "uint"
TInt -> "int"
TFloat -> "float"
x@(TVec n t) | Just s <- vecConName x -> s
TMat i j TFloat | is234 i && is234 j -> "mat" ++ if i == j then show i else show i ++ "x" ++ show j
TTuple [] -> "void"
t -> error $ "toGLSLType: " ++ msg ++ " " ++ ppShow t
is234 = (`elem` [2,3,4])
--------------------------------------------------------------------------------
data Exp_ a
= Pi_ Visibility SName a a
| Lam_ Visibility Pat a a
| Con_ SName a [a]
| ELit_ Lit
| Fun_ SName a [a]
| App_ a a
| Var_ SName a
| TType_
| Let_ Pat a a
deriving (Show, Eq, Functor, Foldable, Traversable)
instance PShow Exp where
pShowPrec p = \case
Var n t -> text n
TType -> "Type"
ELit a -> text $ show a
Con n t ps -> pApps p (text n) ps
Fun n t ps -> pApps p (text n) ps
EApp a b -> pApp p a b
Lam h n t e -> pParens True $ "\\" <> showVis h <> pShow n </> "->" <+> pShow e
Pi h n t e -> pParens True $ showVis h <> pShow n </> "->" <+> pShow e
ELet pat x e -> pParens (p > 0) $ "let" <+> pShow pat </> "=" <+> pShow x </> "in" <+> pShow e
where
showVis Visible = ""
showVis Hidden = "@"
pattern Pi h n a b = Exp (Pi_ h n a b)
pattern Lam h n a b = Exp (Lam_ h n a b)
pattern Con n a b = Exp (Con_ (UntickName n) a b)
pattern ELit a = Exp (ELit_ a)
pattern Fun n a b = Exp (Fun_ (UntickName n) a b)
pattern EApp a b = Exp (App_ a b)
pattern Var a b = Exp (Var_ a b)
pattern TType = Exp TType_
pattern ELet a b c = Exp (Let_ a b c)
pattern UntickName n <- (untick -> n) where UntickName = untick
pattern EString s = ELit (LString s)
pattern EFloat s = ELit (LFloat s)
pattern EInt s = ELit (LInt s)
newtype Exp = Exp (Exp_ Exp)
deriving (Show, Eq)
makeTE [] = I.EGlobal (error "makeTE - no source") I.initEnv $ error "makeTE"
makeTE ((_, t): vs) = I.EBind2 (I.BLam Visible) t $ makeTE vs
toExp :: I.ExpType -> Exp
toExp = flip runReader [] . flip evalStateT freshTypeVars . f_
where
freshTypeVars = flip (:) <$> map show [0..] <*> ['a'..'z']
newName = gets head <* modify tail
f_ (e, et)
| isSampler et = newName >>= \n -> do
t <- f_ (et, I.TType)
ELet (PVar t n) <$> f__ (e, et) <*> pure (Var n t)
| otherwise = f__ (e, et)
f__ (e, et) = case e of
I.Var i -> asks $ fst . (!!! i)
I.Pi b x (I.down 0 -> Just y) -> Pi b "" <$> f_ (x, I.TType) <*> f_ (y, I.TType)
I.Pi b x y -> newName >>= \n -> do
t <- f_ (x, I.TType)
Pi b n t <$> local ((Var n t, x):) (f_ (y, I.TType))
I.Lam y -> case et of
I.Pi b x yt -> newName >>= \n -> do
t <- f_ (x, I.TType)
Lam b (PVar t n) t <$> local ((Var n t, x):) (f_ (y, yt))
I.Con s n xs -> Con (show s) <$> f_ (I.nType s, I.TType) <*> chain [] (I.nType s) (I.mkConPars n et ++ xs)
I.TyCon s xs -> Con (show s) <$> f_ (I.nType s, I.TType) <*> chain [] (I.nType s) xs
I.Fun s xs -> Fun (show s) <$> f_ (I.nType s, I.TType) <*> chain [] (I.nType s) xs
I.CaseFun s xs n -> asks makeTE >>= \te -> Fun (show s) <$> f_ (I.nType s, I.TType) <*> chain [] (I.nType s) (I.makeCaseFunPars te n ++ xs ++ [I.Neut n])
I.Neut (I.App_ a b) -> asks makeTE >>= \te -> do
let t = I.neutType te a
app' <$> f_ (I.Neut a, t) <*> (head <$> chain [] t [b])
I.ELit l -> pure $ ELit l
I.TType -> pure TType
(I.unpmlabel -> Just x) -> f_ (x, et)
I.FixLabel _ x -> f_ (x, et)
-- I.LabelEnd x -> f x -- not possible
z -> error $ "toExp: " ++ show z
chain acc t [] = return $ reverse acc
chain acc t@(I.Pi b at y) (a: as) = do
a' <- f_ (a, at)
chain (a': acc) (I.appTy t a) as
xs !!! i | i < 0 || i >= length xs = error $ show xs ++ " !! " ++ show i
xs !!! i = xs !! i
isSampler (I.TyCon n _) = show n == "'Sampler"
isSampler _ = False
untick ('\'': s) = s
untick s = s
freeVars :: Exp -> Set.Set SName
freeVars = \case
Var n _ -> Set.singleton n
Con _ _ xs -> mconcat $ map freeVars xs
ELit _ -> mempty
Fun _ _ xs -> mconcat $ map freeVars xs
EApp a b -> freeVars a <> freeVars b
Pi _ n a b -> freeVars a <> Set.delete n (freeVars b)
Lam _ n a b -> freeVars a <> foldr Set.delete (freeVars b) (patVars n)
TType -> mempty
ELet n a b -> freeVars a <> foldr Set.delete (freeVars b) (patVars n)
type Ty = Exp
tyOf :: Exp -> Ty
tyOf = \case
Lam h (PVar _ n) t x -> Pi h n t $ tyOf x
EApp f x -> app (tyOf f) x
Var _ t -> t
Pi{} -> TType
Con _ t xs -> foldl app t xs
Fun _ t xs -> foldl app t xs
ELit l -> toExp (I.litType l, I.TType)
TType -> TType
ELet a b c -> tyOf $ EApp (ELam a c) b
x -> error $ "tyOf: " ++ ppShow x
where
app (Pi _ n a b) x = substE n x b
substE n x = \case
z@(Var n' _) | n' == n -> x
| otherwise -> z
Pi h n' a b | n == n' -> Pi h n' (substE n x a) b
Pi h n' a b -> Pi h n' (substE n x a) (substE n x b)
Lam h n' a b -> Lam h n' (substE n x a) $ if n `elem` patVars n' then b else substE n x b
Con n' cn xs -> Con n' cn (map (substE n x) xs)
Fun n' cn xs -> Fun n' cn (map (substE n x) xs)
TType -> TType
EApp a b -> app' (substE n x a) (substE n x b)
x@ELit{} -> x
z -> error $ "substE: " ++ ppShow z
app' (Lam _ (PVar _ n) _ x) b = substE n b x
app' a b = EApp a b
-------------------------------------------------------------------------------- Exp conversion -- TODO: remove
data Pat
= PVar Exp SName
| PTuple [Pat]
deriving (Eq, Show)
instance PShow Pat where
pShowPrec p = \case
PVar t n -> text n
PTuple ps -> tupled $ map pShow ps
patVars (PVar _ n) = [n]
patVars (PTuple ps) = concatMap patVars ps
patTy (PVar t _) = t
patTy (PTuple ps) = Con ("Tuple" ++ show (length ps)) (tupTy $ length ps) $ map patTy ps
tupTy n = foldr (:~>) TType $ replicate n TType
-- workaround for backward compatibility
etaRed (ELam (PVar _ n) (EApp f (EVar n'))) | n == n' && n `Set.notMember` freeVars f = f
etaRed (ELam (PVar _ n) (Prim3 (tupCaseName -> Just k) _ x (EVar n'))) | n == n' && n `Set.notMember` freeVars x = uncurry (\ps e -> ELam (PTuple ps) e) $ getPats k x
etaRed x = x
pattern EtaPrim1 s <- (getEtaPrim -> Just (s, []))
pattern EtaPrim2 s x <- (getEtaPrim -> Just (s, [x]))
pattern EtaPrim3 s x1 x2 <- (getEtaPrim -> Just (s, [x1, x2]))
pattern EtaPrim4 s x1 x2 x3 <- (getEtaPrim -> Just (s, [x1, x2, x3]))
pattern EtaPrim5 s x1 x2 x3 x4 <- (getEtaPrim -> Just (s, [x1, x2, x3, x4]))
pattern EtaPrim2_2 s <- (getEtaPrim2 -> Just (s, []))
getEtaPrim (ELam (PVar _ n) (PrimN s (initLast -> Just (xs, EVar n')))) | n == n' && all (Set.notMember n . freeVars) xs = Just (s, xs)
getEtaPrim _ = Nothing
getEtaPrim2 (ELam (PVar _ n) (ELam (PVar _ n2) (PrimN s (initLast -> Just (initLast -> Just (xs, EVar n'), EVar n2'))))) | n == n' && n2 == n2' && all (Set.notMember n . freeVars) xs = Just (s, xs)
getEtaPrim2 _ = Nothing
initLast [] = Nothing
initLast xs = Just (init xs, last xs)
tupCaseName "Tuple2Case" = Just 2
tupCaseName "Tuple3Case" = Just 3
tupCaseName "Tuple4Case" = Just 4
tupCaseName "Tuple5Case" = Just 5
tupCaseName "Tuple6Case" = Just 6
tupCaseName "Tuple7Case" = Just 7
tupCaseName _ = Nothing
getPats 0 e = ([], e)
getPats i (ELam p e) = first (p:) $ getPats (i-1) e
-------------
pattern EVar n <- Var n _
pattern ELam n b <- Lam Visible n _ b where ELam n b = Lam Visible n (patTy n) b
idFun t = Lam Visible (PVar t n) t (Var n t) where n = "id"
pattern a :~> b = Pi Visible "" a b
infixr 1 :~>
pattern PrimN n xs <- Fun n t (filterRelevant (n, 0) t -> xs) where PrimN n xs = Fun n (builtinType n) xs
pattern Prim1 n a = PrimN n [a]
pattern Prim2 n a b = PrimN n [a, b]
pattern Prim3 n a b c <- PrimN n [a, b, c]
pattern Prim4 n a b c d <- PrimN n [a, b, c, d]
pattern Prim5 n a b c d e <- PrimN n [a, b, c, d, e]
builtinType = \case
"Output" -> TType
"Bool" -> TType
"Float" -> TType
"Nat" -> TType
"Zero" -> TNat
"Succ" -> TNat :~> TNat
"String" -> TType
"Sampler" -> TType
"VecS" -> TType :~> TNat :~> TType
n -> error $ "type of " ++ ppShow n
filterRelevant _ _ [] = []
filterRelevant i (Pi h n t t') (x: xs) = (if h == Visible then (x:) else id) $ filterRelevant (second (+1) i) (substE n x t') xs
pattern AN n xs <- Con n t (filterRelevant (n, 0) t -> xs) where AN n xs = Con n (builtinType n) xs
pattern A0 n = AN n []
pattern A1 n a = AN n [a]
pattern A2 n a b = AN n [a, b]
pattern A3 n a b c <- AN n [a, b, c]
pattern A4 n a b c d <- AN n [a, b, c, d]
pattern A5 n a b c d e <- AN n [a, b, c, d, e]
pattern TCon0 n = A0 n
pattern TCon t n = Con n t []
pattern TUnit <- A0 "Tuple0"
pattern TBool = A0 "Bool"
pattern TWord <- A0 "Word"
pattern TInt <- A0 "Int"
pattern TNat = A0 "Nat"
pattern TFloat = A0 "Float"
pattern TString = A0 "String"
pattern Uniform n <- Prim1 "Uniform" (EString n)
pattern Zero = A0 "Zero"
pattern Succ n = A1 "Succ" n
pattern TVec n a = A2 "VecS" a (Nat n)
pattern TMat i j a <- A3 "Mat" (Nat i) (Nat j) a
pattern Nat n <- (fromNat -> Just n) where Nat = toNat
toNat :: Int -> Exp
toNat 0 = Zero
toNat n = Succ (toNat $ n-1)
fromNat :: Exp -> Maybe Int
fromNat Zero = Just 0
fromNat (Succ n) = (1 +) <$> fromNat n
fromNat _ = Nothing
pattern TTuple xs <- (getTuple -> Just xs)
pattern ETuple xs <- (getTuple -> Just xs)
getTuple (AN (tupName -> Just n) xs) | length xs == n = Just xs
getTuple _ = Nothing
tupName = \case
"Tuple0" -> Just 0
"Tuple2" -> Just 2
"Tuple3" -> Just 3
"Tuple4" -> Just 4
"Tuple5" -> Just 5
"Tuple6" -> Just 6
"Tuple7" -> Just 7
_ -> Nothing
pattern SwizzProj a b <- (getSwizzProj -> Just (a, b))
getSwizzProj = \case
Prim2 "swizzscalar" e (getSwizzChar -> Just s) -> Just (e, [s])
Prim2 "swizzvector" e (AN ((`elem` ["V2","V3","V4"]) -> True) (traverse getSwizzChar -> Just s)) -> Just (e, s)
_ -> Nothing
getSwizzChar = \case
A0 "Sx" -> Just 'x'
A0 "Sy" -> Just 'y'
A0 "Sz" -> Just 'z'
A0 "Sw" -> Just 'w'
_ -> Nothing
|