shady-graphics (empty) → 0.5.0
raw patch · 10 files changed
+2017/−0 lines, 10 filesdep +Booleandep +MemoTriedep +TypeComposesetup-changed
Dependencies added: Boolean, MemoTrie, TypeCompose, applicative-numbers, base, containers, data-treify, mtl, shady-gen, ty, vector-space, wl-pprint
Files
- COPYING +661/−0
- Setup.lhs +3/−0
- shady-graphics.cabal +40/−0
- src/Shady/Color.hs +161/−0
- src/Shady/CompileImage.hs +49/−0
- src/Shady/CompileSurface.hs +143/−0
- src/Shady/ITransform.hs +87/−0
- src/Shady/Image.hs +271/−0
- src/Shady/Lighting.hs +295/−0
- src/Shady/ParamSurf.hs +307/−0
+ COPYING view
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+ Setup.lhs view
@@ -0,0 +1,3 @@+#!/usr/bin/env runhaskell+> import Distribution.Simple+> main = defaultMain
+ shady-graphics.cabal view
@@ -0,0 +1,40 @@+Name: shady-graphics+Version: 0.5.0+Cabal-Version: >= 1.2+Synopsis: Functional GPU programming - DSEL & compiler+Category: Graphics+Description:+ Compile functional specifications for GPU execution.+ See also shady-render, shady-tv, and shady-examples+ .+ Copyright 2009-2011 by Conal Elliott; GNU AGPLv3 license (see COPYING).+ This license is a place-holder. Let me know if you'd like other terms.+Author: Conal Elliott+Maintainer: conal@conal.net+Homepage: http://haskell.org/haskellwiki/shady+Package-Url: http://conal.net/repos/shady-graphics+Copyright: (c) by Conal Elliott 2009-2011+License: OtherLicense+License-File: COPYING+Stability: experimental+build-type: Simple++Library+ hs-Source-Dirs: src++ Build-Depends: base >=4 && < 5, containers, mtl, wl-pprint+ , applicative-numbers>=0.0.4, vector-space>=0.5.6+ , TypeCompose >= 0.7+ , MemoTrie, ty, data-treify, Boolean+ , shady-gen+ Exposed-Modules:++ Shady.ITransform+ Shady.Color+ Shady.Image+ Shady.ParamSurf+ Shady.Lighting+ Shady.CompileSurface+ Shady.CompileImage++
+ src/Shady/Color.hs view
@@ -0,0 +1,161 @@+{-# LANGUAGE TypeSynonymInstances, TypeOperators, FlexibleInstances+ , GeneralizedNewtypeDeriving, TypeFamilies+ , MultiParamTypeClasses, UndecidableInstances+ #-}+{-# OPTIONS_GHC -Wall #-}+----------------------------------------------------------------------+-- |+-- Module : Shady.Color+-- Copyright : (c) Conal Elliott 2009+-- License : AGPLv3+-- +-- Maintainer : conal@conal.net+-- Stability : experimental+-- +-- Simple colors+----------------------------------------------------------------------++module Shady.Color+ (+ -- * Basics+ Color, colorToR4, r4ToColor, rgba, rgb, colorR, colorG, colorB, colorA+ -- * Color operations+ , overC, over+ -- * Some colors+ , black, white, red, green, blue, clear, grey, gray+ -- * Conversion to color+ , HasColor(..)+ ) where++import Data.Monoid (Monoid(..))+import Control.Applicative (liftA2)++import Control.Compose ((~>))++import Data.VectorSpace+import Data.NumInstances ()++import Data.Boolean++import Shady.Misc (Unop, Binop)+import Shady.Language.Exp+++-- TODO: Vector space instance+++{--------------------------------------------------------------------+ Basics+--------------------------------------------------------------------}++type Float4E = (FloatE,FloatE,FloatE,FloatE)++-- | Color, as RGBA+newtype Color = C { unC :: Float4E }+ deriving ( Eq,Ord,Show,Num,Fractional,Floating+ , AdditiveGroup, InnerSpace )++-- VectorSpace has an associated type, which @deriving@ currently doesn't handle.+instance VectorSpace Color where+ type Scalar Color = Scalar (Float4E)+ (*^) s = inC ((*^) s)++-- | Representation conversion+colorToR4 :: Color -> R4E+colorToR4 (C (r,g,b,a)) = vec4 r g b a++-- | Representation conversion+r4ToColor :: R4E -> Color+r4ToColor = C . un4++inC :: Unop (Float4E) -> Unop Color+inC = unC ~> C++inC2 :: Binop (Float4E) -> Binop Color+inC2 = unC ~> inC++-- | Color from red, green, blue, alpha components+rgba :: R1 :=> R1 :=> R1 :=> R1 :=> Color+rgba r g b a = C (r,g,b,a)++-- | Color from red, green, blue components+rgb :: R1 :=> R1 :=> R1 :=> Color+rgb r g b = rgba r g b 1+++-- | Extract the red component+colorR :: Color -> FloatE+colorR (C (r,_,_,_)) = r++-- | Extract the green component+colorG :: Color -> FloatE+colorG (C (_,g,_,_)) = g++-- | Extract the blue component+colorB :: Color -> FloatE+colorB (C (_,_,b,_)) = b++-- | Extract the alpha component+colorA :: Color -> FloatE+colorA (C (_,_,_,a)) = a+++{--------------------------------------------------------------------+ Color operations+--------------------------------------------------------------------}++-- | Overlay on two colors+overC :: Binop Color+overC top bot = top ^+^ (1 - colorA top) *^ bot++-- | Pointwise 'overC', e.g., for images.+over :: Binop (p->Color)+over = liftA2 overC+++{--------------------------------------------------------------------+ Some colors+--------------------------------------------------------------------}++-- | Some colors+black, white, red, green, blue, clear :: Color+black = grey 0+white = grey 1++red = rgb 1 0 0+green = rgb 0 1 0+blue = rgb 0 0 1++clear = rgba 0 0 0 0++-- | Shade of grey+grey, gray :: R1 :=> Color+grey x = rgb x x x+gray = grey+++{--------------------------------------------------------------------+ Instances+--------------------------------------------------------------------}++instance Monoid Color where+ mempty = clear+ mappend = overC++instance IfB BoolE Color where+ ifB = inC2 . ifB++{--------------------------------------------------------------------+ Conversion to color+--------------------------------------------------------------------}++class HasColor a where toColor :: a -> Color++instance HasColor Color where toColor = id+instance HasColor BoolE where toColor = boolean nonWhite white++nonWhite :: Color+nonWhite = clear+ -- rgb 0 0.2 0+ -- dark green+ -- clear -- black
+ src/Shady/CompileImage.hs view
@@ -0,0 +1,49 @@+{-# LANGUAGE TypeOperators, ScopedTypeVariables+ , FlexibleContexts, TypeFamilies+ #-}+{-# OPTIONS_GHC -Wall #-}+----------------------------------------------------------------------+-- |+-- Module : Shady.CompileImage+-- Copyright : (c) Conal Elliott 2009+-- License : AGPLv3+-- +-- Maintainer : conal@conal.net+-- Stability : experimental+-- +-- Compile a parameterized image+----------------------------------------------------------------------++module Shady.CompileImage (ImageB, imageBProg,imSurfB, eyePos) where++import Data.Derivative (powVal)++import qualified Shady.Vec as V+import Shady.Language.Type (R1,R2)+import Shady.Language.Exp ((:=>),pureE)+import Shady.Color -- (white,HasColor(..))+import Shady.Image (Image)+import Shady.CompileE (GLSL)+import Shady.ParamSurf (xyPlane)+import Shady.Lighting (intrinsic,view1)+import Shady.CompileSurface (EyePosE,SurfB,surfBProg)+import Shady.Misc (EyePos)+++-- Built on top of RunSurface++-- | 2D animation+type ImageB c = R1 :=> Image c++eyePos :: EyePos+eyePos = (0, 0.75, 2.5) -- tweak++eyePosE :: EyePosE+eyePosE = pureE (V.vec3 ex ey ez) where (ex,ey,ez) = eyePos++imSurfB :: HasColor c => ImageB c -> SurfB+imSurfB imb t = (intrinsic, view1, xyPlane , toColor . imb (powVal t))++-- | GLSL program for an 'ImageB'.+imageBProg :: HasColor c => ImageB c -> GLSL R1 R2+imageBProg = surfBProg eyePosE . imSurfB
+ src/Shady/CompileSurface.hs view
@@ -0,0 +1,143 @@+{-# LANGUAGE TypeOperators, ScopedTypeVariables+ , FlexibleContexts, TypeFamilies+ #-}+{-# OPTIONS_GHC -Wall #-}+----------------------------------------------------------------------+-- |+-- Module : Shady.CompileSurface+-- Copyright : (c) Conal Elliott 2009+-- License : AGPLv3+-- +-- Maintainer : conal@conal.net+-- Stability : experimental+-- +-- Assemble shaders and display an image+----------------------------------------------------------------------++module Shady.CompileSurface+ ( EyePosE, FullSurf+ , SurfB+ , surfBProg+ , wrapSurf+ -- * unused but exported to suppress "unused" warning+ , wrapSurfExact, wrapSurfIN, wrapSurfIC+ ) where++import Control.Applicative (liftA2)+import Control.Arrow ((&&&))++import Control.Compose (result)++import Data.Derivative (pureD)++import Shady.Language.Exp hiding (indices)+import Shady.Language.GLSL hiding (Shader)+import Shady.Color (colorToR4)+import Shady.Image (Point,Image)+import Shady.Color (Color)+import Shady.CompileEs+ ((:->)(ShaderVF),ShaderVF,shaderProgram,GLSL) -- ,compile++import Shady.ParamSurf (T, SurfD, surfVN)+import Shady.Lighting -- (View,Shader)++-- Arbitrary for now. Later do progressive (infinite sequence of grids)+-- and adpative.++-- -- # of samples, vertically and horizontally+-- rows, cols :: GlIndex+-- rows = 100+-- cols = 100++-- | Eye position as a single expression. See also 'EyePos'.+type EyePosE = R3E++-- | Renderable surface+type FullSurf = (Lighter Color, EyePosE -> View, SurfD, Image Color)++splitF :: (a -> (b,c)) -> (a -> b, a -> c)+splitF = result fst &&& result snd++-- | Surface shader. Vertex stage converts uv into (uv,pos) for+-- fragment stage, which computes normals & lighting per pixel. Function+-- of eye position.+type ShSurf = ShaderVF Point++-- | Surface wrapper, e.g., 'wrapSurfExact', 'wrapSurfIN', 'wrapSurfIC'+type SurfWrapper u' = (u' -> FullSurf) -> (u' -> ShSurf)++wrapSurf :: forall u'. EyePosE -> SurfWrapper u'+wrapSurf = wrapSurfExact -- exact lighting (beautiful)+-- wrapSurf = wrapSurfIN -- interpolate normals (faster)+-- wrapSurf = wrapSurfIC -- interpolate colors (terrible)++-- Change wrapSurf to wrapSurfIN or wrapSurfIC to compare.+++-- | Wrap up a parameterized surface for compiling. Computes normals and+-- lighting per pixel -- sometimes called "exact shading".+wrapSurfExact :: forall u'. EyePosE -> SurfWrapper u'+wrapSurfExact eyePos f = liftA2 ShaderVF vert frag+ where+ vert :: u' -> Point -> (E R4, (Point, E R3))+ vert u' p' = (vTrans (pos <+> 1), (p',pos))+ where+ (_,_,surfd,_) = f u'+ (posF,_) = splitF (surfVN surfd)+ pos = posF (toE p')+ + frag :: u' -> (Point,E R3) -> (E R4,())+ frag u' (p',pos) = (col, ())+ where+ (l,view,surfd,img) = f u'+ (_,norF) = splitF (surfVN surfd)+ col = colorToR4 (l (view eyePos) (SurfInfo pos (nTrans nor) (img p')))+ nor = norF (toE p')++-- | Wrap up a parameterized surface for compiling. +-- This variant interpolates normals, as in Phong shading.+wrapSurfIN :: forall u'. EyePosE -> SurfWrapper u'+wrapSurfIN eyePos f = liftA2 ShaderVF vert frag+ where+ vert :: u' -> Point -> (E R4, (Point, (E R3, E R3)))+ vert u' p' = (vTrans (pos <+> 1), (p',(pos,nTrans nor)))+ where+ (_,_,surfd,_) = f u'+ (posF,norF) = splitF (surfVN surfd)+ pos = posF p+ nor = norF p+ p = toE p'+ + frag :: u' -> (Point,(E R3, E R3)) -> (E R4,())+ frag u' (p',(pos,nor)) = (col, ())+ where+ (sh,view,_,img) = f u'+ col = colorToR4 (sh (view eyePos) (SurfInfo pos nor (img p')))++-- TODO: wrapSurfIC, interpolating colors, as in Gouraud shading.++-- | Wrap up a parameterized surface for compiling. +-- This variant interpolates normals, as in Phong shading.+wrapSurfIC :: forall u'. EyePosE -> SurfWrapper u'+wrapSurfIC eyePos f = liftA2 ShaderVF vert frag+ where+ vert :: u' -> Point -> (E R4, E R4)+ vert u' p' = (vTrans (pos <+> 1), col)+ where+ (sh,view,surfd,img) = f u'+ (posF,norF) = splitF (surfVN surfd)+ pos = posF p+ nor = norF p+ p = toE p'+ col = colorToR4 (sh (view eyePos) (SurfInfo pos (nTrans nor) (img p')))+ + frag :: u' -> E R4 -> (E R4,())+ frag _ col = (col, ())+++-- | 3D animation+type SurfB = T -> FullSurf++-- | Surface shader program+surfBProg :: EyePosE -> SurfB -> GLSL R1 R2+surfBProg eyePos s = shaderProgram (wrapSurf eyePos (s . pureD))
+ src/Shady/ITransform.hs view
@@ -0,0 +1,87 @@+{-# LANGUAGE MultiParamTypeClasses, FlexibleInstances, FunctionalDependencies+ , UndecidableInstances+ #-}+{-# OPTIONS_GHC -Wall #-}+----------------------------------------------------------------------+-- |+-- Module : Shady.ITransform+-- Copyright : (c) Conal Elliott 2009+-- License : AGPLv3+-- +-- Maintainer : conal@conal.net+-- Stability : experimental+-- +-- Invertible transformations+----------------------------------------------------------------------++module Shady.ITransform+ (+ ITransform(..), inverse, andInverse+ , ITrans(..)+ ) where++import Data.Monoid (Monoid(..))+import Control.Applicative (liftA2)++import Shady.Misc+import Shady.Complex (Complex)+import Shady.Language.Exp++-- | Transform with inverse. The 'Monoid' instances is identity and+-- composition (in the usual order for composition of the forward+-- transformations).+data ITransform a = ITransform { itForward :: Unop a+ , itBackward :: Unop a }++instance Monoid (ITransform a) where+ mempty = ITransform id id+ ITransform oF oB `mappend` ITransform iF iB =+ ITransform (oF.iF) (iB.oB)++-- | Inverse an 'ITransform'+inverse :: Unop (ITransform a)+inverse (ITransform forw back) = ITransform back forw++-- | Handy when we invert a transform by modifying the argument to the+-- transform's maker.+andInverse :: (c -> Unop a) -> (c -> c) -> c -> ITransform a+andInverse f inva = liftA2 ITransform f (f.inva)++infixr 1 *:++-- | Transformable values+class ITrans w a | a -> w where+ (*:) :: ITransform w -> Unop a++-- Inert on our basic types+instance ITrans w (E a) where+ (*:) = const id+++-- Typical identity instance:++instance ITrans (Complex s) (Complex s) where (*:) = itForward++-- Distribute over tuple types.+++++instance (ITrans w a, ITrans w b) => ITrans w (a,b) where+ ix *: (a,b) = (ix *: a, ix *: b)++instance (ITrans w a, ITrans w b, ITrans w c) => ITrans w (a,b,c) where+ ix *: (a,b,c) = (ix *: a, ix *: b, ix *: c)++instance (ITrans w a, ITrans w b, ITrans w c, ITrans w d ) => ITrans w (a,b,c,d) where+ ix *: (a,b,c,d) =+ (ix *: a, ix *: b, ix *: c, ix *: d)+++-- Function is an interesting case. Inversely transform input.++instance (ITrans w a, ITrans w b) => ITrans w (a -> b) where+ ix *: f = (*:) ix . f . (*:) (inverse ix)+++-- type Trans = forall a. ITrans w a => a -> a
+ src/Shady/Image.hs view
@@ -0,0 +1,271 @@+{-# LANGUAGE TypeOperators, TypeFamilies, FlexibleContexts+ , TypeSynonymInstances, MultiParamTypeClasses, Rank2Types+ #-}+{-# OPTIONS_GHC -Wall -fno-warn-orphans #-}+----------------------------------------------------------------------+-- |+-- Module : Shady.Image+-- Copyright : (c) Conal Elliott 2009+-- License : GPLv3+-- +-- Maintainer : conal@conal.net+-- Stability : experimental+-- +-- Images (infinite & continuous)+----------------------------------------------------------------------++-- This variation uses Complex++module Shady.Image+ (+ Point, pointToR2, r2ToPoint+ , FilterG, Filter, samplerIm, scale2, uscale2, translate2, rotate2+ , bilerp, bilerpC+ , ImageG, Image+ -- * General regions+ , PRegion, Region+ , universeR, emptyR, eqF, neqF, intersectR, unionR, xorR, diffR, complementR+ , udisk, disk, annulus, checker+ , crop+ -- * Space-varying transformations+ , transformG, translate2Im, scale2Im, uscale2Im, rotate2Im+ , swirl -- , uswirl+ , utile, tile+ ) where++import Control.Applicative (Applicative(..),liftA2)+import Shady.Complex++import Data.VectorSpace++import Data.Boolean++import Shady.Misc+import Shady.Language.Exp+import Shady.Color+import Shady.ITransform++type Point = ComplexE R++pointToR2 :: Point -> R2E+pointToR2 (x :+ y) = vec2 x y++r2ToPoint :: R2E -> Point+r2ToPoint xy = getX xy :+ getY xy++-- | Generalized image -- continuous & infinite+type ImageG s a = Complex s -> a++-- | Continuous, infinite image+type Image a = ImageG FloatE a+++-- == Point -> a++-- | Generalized filter, polymorphic over domain+type FilterG p a = Unop (p -> a)++-- | Image filter+type Filter a = FilterG Point a+ -- Unop (Image a)+++-- | Wrap up a sampler as an image+samplerIm :: Sampler2 :=> Image Color+samplerIm s = r4ToColor . texture s . pointToR2+++-- -- | 2D invertible transform+-- type ITransform2 = ITransform Point++translate2X :: AdditiveGroup a => a -> ITransform a+scale2X :: Fractional s => Complex s -> ITransform (Complex s)+uscale2X :: Fractional s => s -> ITransform (Complex s)+rotate2X :: Floating s => s -> ITransform (Complex s)++translate2X = andInverse (^+^) negateV+scale2X = andInverse (onRI2 (*)) (onRI recip)+rotate2X = andInverse rotate2C negate+uscale2X = scale2X . \ a -> a :+ a++rotate2C :: Floating s => s -> Unop (Complex s)+rotate2C theta = (cis theta *)++-- experiment++translate2, scale2 :: (Floating s, ITrans (Complex s) a) => Complex s -> Unop a+uscale2,rotate2 :: (Floating s, ITrans (Complex s) a) => s -> Unop a++translate2 = (*:) . translate2X+scale2 = (*:) . scale2X+rotate2 = (*:) . rotate2X+uscale2 = (*:) . uscale2X++-- translate2 :: ITransform Point+-- (*:) :: ITransform w -> Unop a++-- (*:) . translate2 :: ITransform Point+-- :: ITransform w -> Unop a+++-- | Bilinear interpolation+bilerp :: VectorSpace w =>+ w -> w -> w -> w -> (Scalar w, Scalar w) -> w+bilerp ll lr ul ur (dx,dy) =+ lerp (lerp ll lr dx) (lerp ul ur dx) dy++-- | Bilinear interpolation image+bilerpC :: (VectorSpace w, Scalar w ~ s) =>+ w -> w -> w -> w -> ImageG s w+bilerpC ll lr ul ur (dx :+ dy) = bilerp ll lr ul ur (dx,dy)+++{--------------------------------------------------------------------+ Generalized regions+--------------------------------------------------------------------}++-- TODO: Move most of these definitions elsewhere, since they're not+-- specific to 2D.++-- | Region over general space+type PRegion p = p -> BoolE++-- | 2D spatial region+type Region = Image BoolE++universeR, emptyR :: Applicative f => f BoolE+universeR = pure true+emptyR = pure false++eqF, neqF :: (IsNat n, IsScalar a, Eq a, Applicative f) =>+ f (VecE n a) -> f (VecE n a) -> f BoolE++eqF = liftA2 (==^)+neqF = liftA2 (/=^)++-- intersectR, unionR, xorR, diffR+-- :: LiftA2 BoolE BoolE BoolE b b b => b -> b -> b+-- complementR :: LiftA1 BoolE BoolE b b => b -> b++intersectR, unionR, xorR, diffR :: Applicative f => Binop (f BoolE)+complementR :: Applicative f => Unop (f BoolE)++intersectR = liftA2 (&&*)+unionR = liftA2 (||*)+complementR = fmap notE+xorR = neqF++diffR r r' = r `intersectR` complementR r'+++-- | Generalized unit disk/ball+udisk :: (InnerSpace p, Scalar p ~ FloatE) => PRegion p+udisk p = magnitudeSq p <=* 1++-- | Generalized disk/ball, given radius+disk :: (InnerSpace p, Scalar p ~ FloatE) => FloatE -> PRegion p+disk s = udisk . (^/ s)++-- | Generalized annulus, given outer & inner radii+annulus :: (InnerSpace p, Scalar p ~ FloatE) => FloatE -> FloatE -> PRegion p+annulus o i = disk o `diffR` disk i+++-- | Checker-board+checker :: Region+checker (x :+ y) = getX c ==* getY c+ where c = frac (x <+> y) >* 0.5++-- checker (x :+ y) = big x ==* big y+-- where+-- big = (>* 0.5) . frac+++{--------------------------------------------------------------------+ Some generalized transforms+--------------------------------------------------------------------}++-- | General domain-varying transformation.+transformG' :: (c -> Unop p) -> (p -> c) -> Unop (p -> a)+transformG' f imc ima p = ima (f (imc p) p)++-- transformG' :: (c -> Unop Point) -> Image c -> Filter a++-- | General domain-varying transformation.+transformG :: (c -> ITransform p) -> (p -> c) -> Unop (p -> a)+transformG f = transformG' (itBackward . f)++-- transformG :: (c -> ITransform2) -> Image c -> Filter a++-- translate2Im :: Image Point -> Filter a+-- scale2Im :: Image Point -> Filter a+-- uscale2Im :: Image FloatE -> Filter a+-- rotate2Im :: Image FloatE -> Filter a+++-- | Space-varying 'translate2'+translate2Im :: AdditiveGroup p => Unop p -> Unop (p -> a)+translate2Im = transformG translate2X++-- | Space-varying 'scale2'+scale2Im :: Fractional s => Unop (Complex s) -> Unop (ImageG s a)+scale2Im = transformG scale2X++-- | Space-varying 'uscale2'+uscale2Im :: Fractional s => ImageG s s -> Unop (ImageG s a)+uscale2Im = transformG uscale2X++-- | Space-varying 'rotate2'+rotate2Im :: Floating s => ImageG s s -> Unop (ImageG s a)+rotate2Im = transformG rotate2X+++{--------------------------------------------------------------------+ Other transformations+--------------------------------------------------------------------}++-- -- | Unit swirl+-- uswirl :: Filter a+-- uswirl = rotate2Im magnitude++-- -- | Swirl transformation+-- swirl :: FloatE -> Filter a+-- swirl s = hyperUscale2 s uswirl++-- *Almost* equivalent, but differs for negative s.++-- | Swirl transformation+swirl :: Floating s => s -> Unop (ImageG s a)+swirl s = rotate2Im ((2*pi*s*) . magnitude)++utile' :: Frac p => Unop (p -> a)+utile' = (. frac)++-- Hm! This utile' definition repeats [0,1), not [-.5,.5). Eep. How can+-- I shift without loss of generality? For instance, the current+-- definition can handle nD.++-- | Unit, rectangular tiling.+utile :: (Frac p, ITrans (Complex s) p, ITrans (Complex s) a, Floating s) => + Unop (p -> a)+utile = translate2 (negate (0.5 :+ 0.5)) utile'++-- TODO: Generalize uniform scaling to arbitrary vector spaces, scaling+-- via scalar field.++-- Rectangle tiling with given size.+-- tile :: ITrans Point a => Point -> Filter a++tile :: (Floating s, Frac s, ITrans (Complex s) a) =>+ Complex s -> Unop (ImageG s a)+tile s = scale2 s utile++-- tile = flip scale2 utile+++{--------------------------------------------------------------------+ Orphans+--------------------------------------------------------------------}++-- Standard do-nothing transformation+instance ITrans Point Color where (*:) = const id
+ src/Shady/Lighting.hs view
@@ -0,0 +1,295 @@+{-# LANGUAGE MultiParamTypeClasses, FlexibleInstances, FlexibleContexts #-}+{-# OPTIONS_GHC -Wall #-}+----------------------------------------------------------------------+-- |+-- Module : Shady.Lighting+-- Copyright : (c) Conal Elliott 2009+-- License : AGPLv3+-- +-- Maintainer : conal@conal.net+-- Stability : experimental+-- +-- Lighting/shading. Adapted from Vertigo.+----------------------------------------------------------------------++module Shady.Lighting+ ( LightInfo(..), Light, View(..), SurfInfo(..)+ , Lighter, LLighter+ , ambient, eye, lights+ , surfP, surfN, intrinsic+ , colorL, dirL, illuminance+ , diffuse, ambDiff, eyeDir, eyeLight, reflection+ , specularG, specularRV, specularNH+ , BasicSh, basic, basicRV, basicNH+ , Liftable(..)+ , Dir3E, dirLight, pointLight+ , stdViewPos, stdView, view1+ , ma,md,ms,msh+ , basicStd+ ) where++import Data.VectorSpace (AdditiveGroup(..),(*^), sumV,(<.>),normalized)+import Data.Boolean++import Shady.Language.Exp+import Shady.Color+++{--------------------------------------------------------------------+ Basic types+--------------------------------------------------------------------}++-- | Info about how one light affects a given point. The surface lighter+-- decides what to do with the light info. Attenuation and relation of+-- light position (if finitely distant) to surface position are already+-- accounted for. 'liDir' is the direction /to/ the light (normalized).+data LightInfo = LI { liColor :: Color, liDir :: Dir3E }++-- | A light is something that provides light info to every point in space+-- (though to some points it provides blackness), independent of+-- obstructions. Should probably also take an atmosphere argument.+type Light = R3E -> LightInfo++-- | Viewing environment: ambient, eye, lights+data View =+ View { viewAmbient :: Color+ , viewEye :: R3E+ , viewLights :: [Light]+ }++-- | Info about a surface at a point: position, normal, color+data SurfInfo = SurfInfo { surfPos :: R3E, surfNormal :: Dir3E, surfColor :: Color }++-- Lighters are functions from contextual info to values.++-- | View-dependent lighter+type Lighter a = View -> SurfInfo -> a++-- | Light- and view-dependent lighter+type LLighter a = LightInfo -> Lighter a+++{--------------------------------------------------------------------+ Extractors+--------------------------------------------------------------------}+++-- | Ambient color+ambient :: Lighter Color+ambient = lift . viewAmbient++-- ambient v _ = viewAmbient v+-- ambient v = const (viewAmbient v)++-- | Eye point+eye :: Lighter R3E+eye = lift . viewEye++-- | Lights+lights :: Lighter [Light]+lights = lift . viewLights++-- | Surface point+surfP :: Lighter R3E+surfP = lift surfPos++-- | Surface normal+surfN :: Lighter Dir3E+surfN = lift surfNormal++-- | Surface Color+intrinsic :: Lighter Color+intrinsic = lift surfColor++-- | Light color+colorL :: LLighter Color+colorL = lift . liColor++-- | Direction /to/ light+dirL :: LLighter R3E+dirL = lift . liDir++-- | Combine contributions from multiple lights. Patterned after+-- Renderman's @illuminance@ construct.+illuminance :: -- (Num a, VectorSpace IfB (VecE OneT Bool) (Scalar a), Num (Scalar a)) =>+ (AdditiveGroup a, IfB BoolE a) =>+ LLighter a -> Lighter a+illuminance llighter v@(View _ _ ls) s@(SurfInfo p _ _) =+ -- sumV [ (ifB (lift surfN <.> dirL >* 0) llighter zeroV) (light p) v s | light <- ls ]+ sumV [ llighter (light p) v s | light <- ls ]++-- bsign b = boolean 1 0 b++-- | Does this bsign multiplier really help? The vertex engine clamps to+-- [0,1] anyway. Oh, with multiple light sources, negative contributions+-- would subtract from positive ones.+++{--------------------------------------------------------------------+ Composite lighters+--------------------------------------------------------------------}++-- Two-sided lighting?+twoSided :: Bool+twoSided = True++-- One-sided or two-sided lighting+sided :: (Ord a, Num a) => a -> a+sided | twoSided = abs+ | otherwise = max 0++-- | Pure diffuse+diffuse :: Lighter Color+diffuse = illuminance (sided (lift surfN <.> dirL) *^ colorL)+++-- | Weighted combination of ambient and diffuse+ambDiff :: (Color, Color) -> Lighter Color+ambDiff (ka,kd) = intrinsic * (lift ka * ambient + lift kd * diffuse)++-- | The Stanford rtsl version, with ambient and weights:+-- +-- surface float4+-- lightmodel_diffuse (float4 ka, float4 kd)+-- {+-- perlight float diffuse = dot(N,L);+-- perlight float4 fr = kd * select(diffuse > 0, diffuse, 0);+-- return ka * Ca + integrate(fr * Cl);+-- }++-- | Direction from surface point to eye+eyeDir :: Lighter Dir3E+eyeDir = normalized (eye - surfP)++-- | Eye/light vector average (CGPP p 731)+eyeLight :: LLighter Dir3E+eyeLight = normalized (dirL + lift eyeDir)++-- | Reflection vector (CGPP p 730)+reflection :: LLighter Dir3E+reflection = (2 * (n' <.> dirL)) *^ n' - dirL where n' = lift surfN++-- | Pure specular. Ignores intrinsic surface color. There are different+-- ways to compute the power base.+specularG :: LLighter FloatE -> FloatE -> Lighter Color+specularG base sh = illuminance ((max 0 base ** lift sh) *^ colorL)+++-- Phong's specular (R.V) model+specularRV :: FloatE -> Lighter Color+specularRV = specularG (reflection <.> lift eyeDir)++-- | Or the N.H model:+specularNH :: FloatE -> Lighter Color+specularNH = specularG (lift surfN <.> eyeLight)+++-- | surface floatv+-- lightmodel_specular (floatv s, floatv e, float sh)+-- {+-- perlight float diffuse = dot(N,DIRL);+-- perlight float specular = pow(max(dot(N,H),0),sh);+-- perlight floatv fr = select(diffuse > 0, s * specular, Zero);+-- return integrate(fr * Cl) + e;+-- }++type BasicSh = (Color,Color,Color,FloatE) -> Lighter Color++-- | Combine intrinsic, ambient, diffuse and specular, with weightings+basic :: LLighter FloatE -> BasicSh+basic base (ka,kd,ks,sh) = ambDiff (ka,kd) + lift ks * specularG base sh++basicRV, basicNH :: BasicSh+basicRV = basic (reflection <.> lift eyeDir) -- The R.V model+basicNH = basic (lift surfN <.> eyeLight) -- The N.H model++-- | surface float4+-- lightmodel (float4 a, float4 d, float4 s, float4 e, float sh)+-- {+-- perlight float diffuse = dot(N,DIRL);+-- perlight float specular = pow(max(dot(N,H),0),sh);+-- perlight float4 fr = d * max(diffuse, 0) ++-- s * select(diffuse > 0, specular, 0);+-- return a * Ca + integrate(fr * Cl) + e;+-- }+++{-+-- Phong model, taking normal as parameter+-- WORKING HERE. Coefficients not yet right.++phongN :: LLighter DirE -> Lighter Color+phongN n = + cs * lift ka * ambient + cs * lift kd ^* illuminance ldotN+ + lift ks ^* illuminance (vdotR ** lift sh)+-}++{--------------------------------------------------------------------+ Lifting. Revisit+--------------------------------------------------------------------}+++class Liftable k f where lift :: k -> f++instance Liftable a a where lift = id+instance Liftable b (a->b) where lift = const+instance Liftable c (a->b->c) where lift = const . const+instance Liftable d (a->b->c->d) where lift = const . const . const+++{--------------------------------------------------------------------+ Some lights+--------------------------------------------------------------------}++-- | Direction. Assumed normalized.+type Dir3E = R3E++-- | Directional light, given the direction /from/ the light (opposite 'dirL')+dirLight :: Color -> Dir3E -> Light+dirLight col dir = const (LI col (- dir))++-- | Point light+pointLight :: Color -> R3E -> Light+pointLight col lpos p = LI col (normalized (lpos - p))+++-- To do: add distance-based fall-off and spot lights++stdViewPos :: R3E+stdViewPos = vec3 0.5 1 (-2) :: R3E++-- | View with white ambient light and given eye position and lights+stdView :: R3E -> [Light] -> View+stdView = View white++-- | View with white ambient light, one directional light, and given eye position.+-- For now, light position is like eye position but more so.+view1 :: R3E -> View+view1 eyePos = stdView eyePos [dirLight lightColor lightDir]+ where+ lightColor = white+ -- lightColor = rgb 1 0.9 0.5 -- light gold+ lightDir = normalized (-eyePos + vec3 2 1 0)++-- view2 :: Anim R3E -> Anim View+-- view2 pos t = stdView [pointLight red (pos t)]+++-- Standard material properties (from rtsl-shaders.in)++ma,md,ms :: Color+msh :: FloatE++ma = gray 0.2 -- ambient+md = gray 0.4 -- diffuse+ms = gray 0.5 -- specular+msh = 15 -- specular exponent++{-+-- Simple shaders with standard material properties+ambDiffStd = ambDiff ma md+specularStd = specularNH msh+-}++basicStd :: Lighter Color+basicStd = basicRV (ma,md,ms,msh)
+ src/Shady/ParamSurf.hs view
@@ -0,0 +1,307 @@+{-# LANGUAGE Rank2Types, TypeOperators, FlexibleContexts, TypeFamilies+ , TypeSynonymInstances, FlexibleInstances, UndecidableInstances+ , MultiParamTypeClasses+ #-}+{-# OPTIONS_GHC -Wall -fno-warn-orphans #-}+----------------------------------------------------------------------+-- |+-- Module : Shady.ParamSurf+-- Copyright : (c) Conal Elliott 2008, 2009+-- License : AGPLv3+-- +-- Maintainer : conal@conal.net+-- Stability : experimental+-- +-- Parametric surfaces with automatic normals+----------------------------------------------------------------------++-- This version uses Complex s instead of (s,s). Complex is consistent+-- with Image but inconsistent with 1D and 3D.++module Shady.ParamSurf where++import Control.Applicative+import Control.Arrow ((&&&))++import Data.NumInstances ()+import Data.VectorSpace+import Data.Cross hiding (One,Two,Three)+import Data.Derivative++-- import Data.MemoTrie+import Data.Basis++import Shady.Language.Exp+import Shady.Complex+import Shady.ITransform (ITrans(..))+++type HeightField s = Complex s -> s+type Surf s = Complex s -> (s,s,s)++type USurf = forall s. Floating s => Surf s+++type Curve2 s = s -> Complex s+type Curve3 s = s -> (s,s,s)++type Warp1 s = s -> s+type Warp2 s = Complex s -> Complex s+type Warp3 s = (s,s,s) -> (s,s,s)++-- | Trig functions with unit period ([-1,1])+cosU, sinU :: Floating s => s -> s+cosU = cos . (* pi)+sinU = sin . (* pi)+++-- | Turn a height field into a surface+hfSurf :: HeightField s -> Surf s+hfSurf field = \ (u :+ v) -> (u, v, field (u :+ v))++-- | Like 'hfSurf' but for curve construction+fcurve :: Warp1 s -> Curve2 s+fcurve f = \ u -> u :+ f u++-- | Unit circle.+circle :: Floating s => Curve2 s+circle = liftA2 (:+) cosU sinU++-- | Half semi circle, with theta in [-pi/2,pi/2]+semiCircle :: Floating s => Curve2 s+semiCircle = circle . (/ 2)++-- | Torus, given radius of sweep circle and cross section+torus :: (Floating s, VectorSpace s, Scalar s ~ s) => s -> s -> Surf s+-- torus sr cr = revolve (\ s -> (sr,0) ^+^ cr *^ circle s)+torus sr cr = revolve (const (sr :+ 0) ^+^ const cr *^ circle)++-- Surface of revolution, formed by rotation around Z axis. The curve is+-- parameterized by u, and the rotation by v. In this generalized+-- version, we have not a single curve, but a function from v to curves.+revolveG :: Floating s => (s -> Curve2 s) -> Surf s+revolveG curveF = \ (u :+ v) -> onXY (rotate (-pi*v)) (addY (curveF v) u)++revolve :: Floating s => Curve2 s -> Surf s+revolve curve = revolveG (const curve)++-- A sphere is a revolved semi-circle+sphere1 :: Floating s => Surf s+sphere1 = revolve semiCircle+++-- | Profile product.+profile :: Num s => Curve2 s -> Curve2 s -> Surf s+profile curve prof (u :+ v) = (cx*px,cy*px,py)+ where+ cx :+ cy = curve u+ px :+ py = prof v++-- More spheres+sphere2,sphere3 :: Floating s => Surf s+sphere2 = profile circle semiCircle+sphere3 = profile semiCircle circle++-- | Frustum, given base & cap radii and height.+frustum :: (Floating s, VectorSpace s, Scalar s ~ s) => s -> s -> s -> Surf s+frustum baseR topR h = profile circle rad+ where+ rad t = lerp baseR topR (t + 1/2) :+ h*t++-- | Unit cylinder. Unit height and radii+ucylinder :: (Floating s, VectorSpace s) => Surf s+ucylinder = profile circle (const 1)++-- | XY plane as a surface+xyPlane :: Num s => Surf s+xyPlane = hfSurf (const 0)++-- | Given a combining op and two curves, make a surface. A sort of+-- Cartesian product with combination.+cartF :: (a -> b -> c) -> (s -> a) -> (s -> b) -> (Complex s -> c)+cartF op f g = \ (u :+ v) -> f u `op` g v++-- Sweep a basis curve by a sweep curve. Warning: does not reorient the+-- basis curve as cross-section. TODO: Frenet frame.+sweep :: VectorSpace s => Curve3 s -> Curve3 s -> Surf s+sweep = cartF (^+^)+++-- | One period, unit height eggcrate+eggcrateH :: Floating s => HeightField s+eggcrateH = cartF (*) cosU sinU++revolveH :: (Floating s, InnerSpace s, Scalar s ~ s) => Warp1 s -> HeightField s+revolveH = (. magnitude)++rippleH :: (Floating s, InnerSpace s, Scalar s ~ s) => HeightField s+rippleH = revolveH sinU++-- | Simple ripply pond shape+ripple :: Floating s => Surf s+ripple = -- onXY' (2 *^) $+ revolve (const (0.5 :+ 0) - fcurve sinU)++-- | Apply a displacement map at a value++displaceV :: (InnerSpace v, s ~ Scalar v, Floating s, HasNormal v) =>+ v -> Scalar v -> v+displaceV v s = v ^+^ s *^ normal v++-- | Apply a displacement map to a function (e.g., 'Curve2' or 'Surf') or+-- other container.+displace :: (InnerSpace v, Scalar v ~ s, Floating s, HasNormal v, Applicative f) =>+ f v -> f (Scalar v) -> f v+displace = liftA2 displaceV++++---- Misc++-- TODO: Reconcile this version with the one in Image++rotate :: Floating s => s -> Warp2 s+rotate theta = \ (x :+ y) -> (x * c - y * s) :+ (y * c + x * s)+ where c = cos theta+ s = sin theta++addX, addY, addZ :: Num s => (a -> Complex s) -> (a -> (s,s,s))+addX = fmap (\ (y :+ z) -> (0,y,z))+addY = fmap (\ (x :+ z) -> (x,0,z))+addZ = fmap (\ (x :+ y) -> (x,y,0))++addYZ,addXZ,addXY :: Num s => (a -> s) -> (a -> (s,s,s))+addYZ = fmap (\ x -> (x,0,0))+addXZ = fmap (\ y -> (0,y,0))+addXY = fmap (\ z -> (0,0,z))++onX,onY,onZ :: Warp1 s -> Warp3 s+onX f (x,y,z) = (f x, y, z)+onY f (x,y,z) = (x, f y, z)+onZ f (x,y,z) = (x, y, f z)++onXY,onYZ,onXZ :: Warp2 s -> Warp3 s+onXY f (x,y,z) = (x',y',z ) where x' :+ y' = f (x :+ y)+onXZ f (x,y,z) = (x',y ,z') where x' :+ z' = f (x :+ z)+onYZ f (x,y,z) = (x ,y',z') where y' :+ z' = f (y :+ z)+++onX',onY',onZ' :: Warp1 s -> (a -> (s,s,s)) -> (a -> (s,s,s))+onX' = fmap . onX+onY' = fmap . onY+onZ' = fmap . onZ++onXY',onXZ',onYZ' :: Warp2 s -> (a -> (s,s,s)) -> (a -> (s,s,s))+onXY' = fmap . onXY+onXZ' = fmap . onXZ+onYZ' = fmap . onYZ+++{--------------------------------------------------------------------+ Normals and tessellation+--------------------------------------------------------------------}++-- -- | Derivative tower of point on a surface+-- type SurfPt = Exp R2 :> Exp R3++-- -- | Differentiable surface+-- type SurfD = Surf (Exp R2 :> Exp R)++-- -- | Vertex and normal+-- data VN = VN (Exp R3) (Exp R3)++-- -- No instances for (HasBasis (E V R2),+-- -- HasTrie (Basis (E V R2)),+-- -- HasNormal SurfPt)++-- toVN :: SurfPt -> VN+-- toVN v = VN (powVal v) (powVal (normal v))+++-- TODO: move to Exp and remove -fno-warn-orphans+++type V2 a = (a,a)+type V3 a = (a,a,a)++type ER = FloatE+type ER2 = V2 ER+type ER3 = V3 ER++instance HasBasis FloatE where+ type Basis FloatE = ()+ basisValue () = 1+ decompose s = [((),s)]+ decompose' s = const s++instance HasBasis R2E where+ type Basis R2E = Basis ER2+ basisValue b = vec2 x y where (x,y) = basisValue b+ decompose w = decompose (getX w, getX w)+ decompose' w = (w <.>) . basisValue++-- TODO: are these instances used?++-- TODO: move these two HasBasis orphans elsewhere.++-- instance IsNat n => HasBasis (VecE n R) where+-- type Basis (VecE n R) = n+-- basisValue = ???++-- TODO: fill out this definition. How to enumerate a basis for Vec n R,+-- for arbitrary IsNat n?++type TR = ER :> ER -- tower++type T = ER2 :> ER++-- Standard do-nothing transformation+instance ITrans (Complex T) T where (*:) = const id+++-- | Derivative towers of point on a surface+type SurfPt = V3 T++-- type SurfPt = ER2 :> ER3+++-- | Differentiable surface+type SurfD = Surf T+++-- -- | Vertex and normal+-- data VN = VN ER3 ER3++-- powVal3 :: V3 (a :> b) -> V3 b+-- powVal3 (q,r,s) = (powVal q, powVal r, powVal s)++-- toVN :: SurfPt -> VN+-- toVN v = VN (powVal3 v) (powVal3 (normal v))++-- -- type SurfV = ER2 :~> ER3++-- type SurfVN = ER2 -> VN++-- -- or+-- -- type SurfVN = Exp R2 -> (Exp R3, Exp R3)++-- surfVN :: SurfD -> SurfVN+-- surfVN f p = toVN (f (fstD p, sndD p))+++-- | Vertex and normal+type VN = (R3E, R3E)++toVN :: SurfPt -> VN+toVN = p3 &&& (p3 . normal)+ where+ p3 (q,r,s) = vec3 (powVal q) (powVal r) (powVal s)++-- type SurfV = ER2 :~> ER3++type SurfVN = R2E -> VN++surfVN :: SurfD -> SurfVN+surfVN f p = toVN (f (fstD p' :+ sndD p'))+ where+ p' = (getX p, getY p)