GPipe

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Revision as of 17:37, 12 March 2010

1 What is GPipe?
2 Creating a window
3 PrimitiveStreams
4 FragmentStreams
5 FrameBuffers
6 Screenshot
7 Questions and feedback

1 What is GPipe?

GPipe is a library for programming the GPU (graphics processing unit). It is an alternative to using OpenGl, and has the advantage that it is purely functional, statically typed and operates on immutable data as opposed to OpenGl's inherently imperative style. GPipe uses the same conceptual model as OpenGl, and it is recommended that you have at least a basic understanding of how OpenGl works to be able to use GPipe.

In GPipe, you'll primary work with these four types of data on the GPU:

PrimitiveStream
s
FragmentStream
s
FrameBuffer
s
Texture
s

Let's walk our way through an simple example as I explain how you work with these types. This page is formatted as a literate Haskell page, simply save it as "box.lhs" and then type

ghc --make –O box.lhs 
box

at the prompt to see a spinning box. You’ll also need an image named "myPicture.jpg" in the same directory (I used a picture of some wooden planks).

> module Main where
 
> import Graphics.GPipe
> import Graphics.GPipe.Texture.Load
> import qualified Data.Vec as Vec
> import Data.Vec.Nat
> import Data.Vec.LinAlg.Transform3D
> import Data.Monoid
> import Data.IORef
> import Graphics.UI.GLUT
>     (Window,
>     mainLoop,
>     postRedisplay,
>     idleCallback,
>     getArgsAndInitialize,
>     ($=))

Besides GPipe, this example also uses the Vec-Transform package for the transformation matrices, and the GPipe-TextureLoad package for loading textures from disc. GLUT is used in GPipe for window management and the main loop.

2 Creating a window

We start by defining the

main

function.

> main :: IO ()
> main = do
>     getArgsAndInitialize
>     tex <- loadTexture RGB8 "myPicture.jpg"
>     angleRef <- newIORef 0.0
>     newWindow "Spinning box" (100:.100:.()) (800:.600:.()) (renderFrame tex angleRef) initWindow
>     mainLoop       
 
> renderFrame :: Texture2D RGBFormat -> IORef Float -> Vec2 Int -> IO (FrameBuffer RGBFormat () ())
> renderFrame tex angleRef size = do
>     angle <- readIORef angleRef
>     writeIORef angleRef ((angle + 0.001) `mod'` (2*pi))
>     return $ cubeFrameBuffer tex angle size
 
> initWindow :: Window -> IO ()
> initWindow win = idleCallback $= Just (postRedisplay (Just win))

First we set up GLUT, and load a texture from disc via the GPipe-TextureLoad package function

loadTexture

. In this example we're going to animate a spinning box, and for that we put an angle in an

IORef

so that we can update it between frames. We then create a window with <div class="inline-code">

newWindow

</div>. When the window is created,

initWindow

registers this window as being continously redisplayed in the idle loop. At each frame, the

IO

action

renderFrame tex angleRef

is run. In this function the angle is incremented with 0.01 (reseted each lap), and a

FrameBuffer

is created and returned to be displayed in the window. But before I explain

FrameBuffer

s, let's jump to the start of the graphics pipeline instead.

3 PrimitiveStreams

The graphics pipeline starts with creating primitives such as triangles on the GPU.Let's create a box with six sides, each made up of two triangles each.

> cube :: PrimitiveStream Triangle (Vec3 (Vertex Float), Vec3 (Vertex Float), Vec2 (Vertex Float))
> cube = mconcat [sidePosX, sideNegX, sidePosY, sideNegY, sidePosZ, sideNegZ]
 
> sidePosX = toGPUStream TriangleStrip $ zip3 [1:.0:.0:.(), 1:.1:.0:.(), 1:.0:.1:.(), 1:.1:.1:.()] (repeat (1:.0:.0:.()))    uvCoords
> sideNegX = toGPUStream TriangleStrip $ zip3 [0:.0:.1:.(), 0:.1:.1:.(), 0:.0:.0:.(), 0:.1:.0:.()] (repeat ((-1):.0:.0:.())) uvCoords
> sidePosY = toGPUStream TriangleStrip $ zip3 [0:.1:.1:.(), 1:.1:.1:.(), 0:.1:.0:.(), 1:.1:.0:.()] (repeat (0:.1:.0:.()))    uvCoords
> sideNegY = toGPUStream TriangleStrip $ zip3 [0:.0:.0:.(), 1:.0:.0:.(), 0:.0:.1:.(), 1:.0:.1:.()] (repeat (0:.(-1):.0:.())) uvCoords
> sidePosZ = toGPUStream TriangleStrip $ zip3 [1:.0:.1:.(), 1:.1:.1:.(), 0:.0:.1:.(), 0:.1:.1:.()] (repeat (0:.0:.1:.()))    uvCoords
> sideNegZ = toGPUStream TriangleStrip $ zip3 [0:.0:.0:.(), 0:.1:.0:.(), 1:.0:.0:.(), 1:.1:.0:.()] (repeat (0:.0:.(-1):.())) uvCoords
 
> uvCoords = [0:.0:.(), 0:.1:.(), 1:.0:.(), 1:.1:.()]

Every side of the box is created from a normal list of four elements each, where each element is a tuple with three vectors: a position, a normal and an uv-coordinate. These lists of vertices are then turned into <div class="inline-code">

PrimitiveStream

s on the GPU by

toGPUStream

</div> that in our case creates triangle strips from the vertices, i.e 2 triangles from 4 vertices. Refer to the OpenGl specification on how triangle strips and the other topologies works. All six sides are then concatenated together into a cube. We can see that the type of the cube is a

PrimitiveStream

of <div class="inline-code">

Triangle

</div>s where each vertex is a tuple of three vectors, just as the lists we started with. One big difference is that those vectors now are made up of

Vertex Float

s instead of

Float

s since they are now on the GPU.

The cube is defined in model-space, i.e where positions and normals are relative the cube. We now want to rotate that cube using a variable angle and project the whole thing with a perspective projection, as it is seen through a camera 2 units down the z-axis.

> transformedCube :: Float -> Vec2 Int -> PrimitiveStream Triangle (Vec4 (Vertex Float), (Vec3 (Vertex Float), Vec2 (Vertex Float)))
> transformedCube angle size = fmap (transform angle size) cube
 
> transform angle (width:.height:.()) (pos, norm, uv) = (transformedPos, (transformedNorm, uv))
>     where
>         modelMat = rotationVec (normalize (1:.0.5:.0.3:.())) angle `multmm` translation (-0.5)
>         viewMat = translation (-(0:.0:.2:.())) 
>         projMat = perspective 1 100 (pi/3) (fromIntegral width / fromIntegral height)
>         viewProjMat = projMat `multmm` viewMat
>         transformedPos = toGPU (viewProjMat `multmm` modelMat) `multmv` homPoint pos
>         transformedNorm = toGPU (Vec.map (Vec.take n3) $ Vec.take n3 $ modelMat) `multmv` norm

The <div class="inline-code">

toGPU

</div> function transforms normal values like

Float

s into GPU-values like

Vertex Float

so it can be used with the vertices of the

PrimitiveStream

4 FragmentStreams

To render the primitives on the screen, we must first turn them into pixel fragments. This called rasterization and in our example done by the function <div class="inline-code">

rasterizeFront

, which transforms

PrimitiveStream

s into

FragmentStream

</div>s.

> rasterizedCube :: Float -> Vec2 Int -> FragmentStream (Vec3 (Fragment Float), Vec2 (Fragment Float))
> rasterizedCube angle size = rasterizeFront $ transformedCube angle size

In the rasterization process, values of type

Vertex Float

are turned into values of type

Fragment Float

For each fragment, we now want to give it a color from the texture we initially loaded, as well as light it with a directional light coming from the camera.

> litCube :: Texture2D RGBFormat -> Float -> Vec2 Int -> FragmentStream (Color RGBFormat (Fragment Float))
> litCube tex angle size = fmap (enlight tex) $ rasterizedCube angle size
 
> enlight tex (norm, uv) = RGB (c * Vec.vec (norm `dot` toGPU (0:.0:.1:.())))
>     where RGB c = sample (Sampler Linear Wrap) tex uv

The function <div class="inline-code">

sample

</div> is used for sampling the texture we have loaded, using the fragment's interpolated uv-coordinates and a sampler state. Once we have a

FragmentStream

Color

s, we can paint those fragments onto a

FrameBuffer

5 FrameBuffers

A <div class="inline-code">

FrameBuffer

</div> is a 2D image in which fragments from

FragmentStream

s are painted. A

FrameBuffer

may contain any combination of a color buffer, a depth buffer and a stencil buffer. Besides being shown in windows,

FrameBuffer

s may also be saved to memory or converted to textures, thus enabling multi pass rendering. A

FrameBuffer

has no defined size, but take the size of the window when shown, or are given a size when saved to memory or converted to a texture. And so finally, we paint the fragments we have created onto a black

FrameBuffer

. By this we use <div class="inline-code">

paintColor

</div> without any blending or color masking.

> cubeFrameBuffer :: Texture2D RGBFormat -> Float -> Vec2 Int -> FrameBuffer RGBFormat () ()
> cubeFrameBuffer tex angle size = paintSolid (litCube tex angle size) emptyFrameBuffer
 
> paintSolid = paintColor NoBlending (RGB $ Vec.vec True)
> emptyFrameBuffer = newFrameBufferColor (RGB 0)

This

FrameBuffer

is the one we return from the

renderFrame

action we defined at the top.

6 Screenshot

7 Questions and feedback

If you have any questions or suggestions, feel free to mail me. I'm also interested in seeing some use cases from the community, as complex or trivial they may be.

Retrieved from "http://www.haskell.org/haskellwiki/GPipe"

@@ Line 1: / Line 1: @@
 == What is GPipe? ==
-[http://hackage.haskell.org/package/GPipe GPipe] is a library for programming the GPU (graphics processing unit). It is an alternative to using OpenGl, and has the advantage that it is purely functional, statically typed and operates on immutable data as opposed to OpenGl's inherently imperative style. Another important difference with OpenGl is that with GPipe you don't need to write shaders in a second shader language such as GLSL or Cg, but instead use regular Haskell functions on the GPU data types. GPipe uses the same conceptual model as OpenGl, and it is recommended that you have at least a basic understanding of how OpenGl works to be able to use GPipe.
+[http://hackage.haskell.org/package/GPipe GPipe] is a library for programming the GPU (graphics processing unit). It is an alternative to using OpenGl, and has the advantage that it is purely functional, statically typed and operates on immutable data as opposed to OpenGl's inherently imperative style. GPipe uses the same conceptual model as OpenGl, and it is recommended that you have at least a basic understanding of how OpenGl works to be able to use GPipe.
 In GPipe, you'll primary work with these four types of data on the GPU:
-* [http://hackage.haskell.org/packages/archive/GPipe/latest/doc/html/Graphics-GPipe-Stream-Primitive.html#t:PrimitiveStream <hask>PrimitiveStream</hask>]
+* <hask>PrimitiveStream</hask>s
-* [http://hackage.haskell.org/packages/archive/GPipe/latest/doc/html/Graphics-GPipe-Stream-Fragment.html#t:FragmentStream <hask>FragmentStream</hask>]
+* <hask>FragmentStream</hask>s
-* [http://hackage.haskell.org/packages/archive/GPipe/latest/doc/html/Graphics-GPipe-FrameBuffer.html#t:FrameBuffer <hask>FrameBuffer</hask>]
+* <hask>FrameBuffer</hask>s
-* [http://hackage.haskell.org/packages/archive/GPipe/1.1.3/doc/html/Graphics-GPipe-Texture.html <hask>Texture</hask>]
+* <hask>Texture</hask>s
 Let's walk our way through an simple example as I explain how you work with these types.
 This page is formatted as a literate Haskell page, simply save it as &quot;<tt>box.lhs</tt>&quot; and then type
@@ Line 54: / Line 54: @@
 >     mainLoop
-> renderFrame :: Texture2D RGBFormat -> IORef Float -> IO (FrameBuffer RGBFormat () ())
+> renderFrame :: Texture2D RGBFormat -> IORef Float -> Vec2 Int -> IO (FrameBuffer RGBFormat () ())
-> renderFrame tex angleRef = do
+> renderFrame tex angleRef size = do
 >     angle <- readIORef angleRef
->     writeIORef angleRef ((angle + 0.01) `mod'` (2*pi))
+>     writeIORef angleRef ((angle + 0.001) `mod'` (2*pi))
->     return $ cubeFrameBuffer tex angle
+>     return $ cubeFrameBuffer tex angle size
 > initWindow :: Window -> IO ()
@@ Line 88: / Line 88: @@
 </haskell>
-Every side of the box is created from a regular list of four elements each, where each element is a tuple with three vectors: a position, a normal and an uv-coordinate. These lists of vertices are then turned into [http://hackage.haskell.org/packages/archive/GPipe/latest/doc/html/Graphics-GPipe-Stream-Primitive.html#t:PrimitiveStream <hask>PrimitiveStream</hask>]s on the GPU by [http://hackage.haskell.org/packages/archive/GPipe/latest/doc/html/Graphics-GPipe-Stream-Primitive.html#v:toGPUStream <hask>toGPUStream</hask>] that in our case creates triangle strips from the vertices, i.e 2 triangles from 4 vertices. Refer to the OpenGl specification on how triangle strips and the other topologies works.
+Every side of the box is created from a normal list of four elements each, where each element is a tuple with three vectors: a position, a normal and an uv-coordinate. These lists of vertices are then turned into [http://hackage.haskell.org/packages/archive/GPipe/latest/doc/html/Graphics-GPipe-Stream-Primitive.html#t:PrimitiveStream <hask>PrimitiveStream</hask>]s on the GPU by [http://hackage.haskell.org/packages/archive/GPipe/latest/doc/html/Graphics-GPipe-Stream-Primitive.html#v:toGPUStream <hask>toGPUStream</hask>] that in our case creates triangle strips from the vertices, i.e 2 triangles from 4 vertices. Refer to the OpenGl specification on how triangle strips and the other topologies works.
 All six sides are then concatenated together into a cube. We can see that the type of the cube is a <hask>PrimitiveStream</hask> of [http://hackage.haskell.org/packages/archive/GPipe/latest/doc/html/Graphics-GPipe-Stream-Primitive.html#t:Triangle <hask>Triangle</hask>]s where each vertex is a tuple of three vectors, just as the lists we started with. One big difference is that those vectors now are made up of <hask>Vertex Float</hask>s instead of <hask>Float</hask>s since they are now on the GPU.
@@ Line 96: / Line 96: @@
 <haskell>
-> transformedCube :: Float -> PrimitiveStream Triangle (Vec4 (Vertex Float), (Vec3 (Vertex Float), Vec2 (Vertex Float)))
+> transformedCube :: Float -> Vec2 Int -> PrimitiveStream Triangle (Vec4 (Vertex Float), (Vec3 (Vertex Float), Vec2 (Vertex Float)))
-> transformedCube angle = fmap (transform angle) cube
+> transformedCube angle size = fmap (transform angle size) cube
-> transform angle (pos, norm, uv) = (transformedPos, (transformedNorm, uv))
+> transform angle (width:.height:.()) (pos, norm, uv) = (transformedPos, (transformedNorm, uv))
 >     where
 >         modelMat = rotationVec (normalize (1:.0.5:.0.3:.())) angle `multmm` translation (-0.5)
 >         viewMat = translation (-(0:.0:.2:.()))
->         projMat = perspective 1 100 (pi/3) (4/3)
+>         projMat = perspective 1 100 (pi/3) (fromIntegral width / fromIntegral height)
 >         viewProjMat = projMat `multmm` viewMat
 >         transformedPos = toGPU (viewProjMat `multmm` modelMat) `multmv` homPoint pos
@@ Line 110: / Line 110: @@
 </haskell>
-When applying a function on the <hask>PrimitiveStream</hask> using <hask>fmap</hask>, that function will be executed on the GPU using vertex shaders. The [http://hackage.haskell.org/packages/archive/GPipe/latest/doc/html/Graphics-GPipe-Stream.html#v:toGPU <hask>toGPU</hask>] function transforms normal values like <hask>Float</hask>s into GPU-values like <hask>Vertex Float</hask> so it can be used with the vertices of the <hask>PrimitiveStream</hask>.
+The [http://hackage.haskell.org/packages/archive/GPipe/latest/doc/html/Graphics-GPipe-Stream.html#v:toGPU <hask>toGPU</hask>] function transforms normal values like <hask>Float</hask>s into GPU-values like <hask>Vertex Float</hask> so it can be used with the vertices of the <hask>PrimitiveStream</hask>.
 == FragmentStreams ==
-To render the primitives on the screen, we must first turn them into pixel fragments. This is called rasterization and in our example done by the function [http://hackage.haskell.org/packages/archive/GPipe/latest/doc/html/Graphics-GPipe-Stream-Fragment.html#v:rasterizeFront <hask>rasterizeFront</hask>], which transforms <hask>PrimitiveStream</hask>s into [http://hackage.haskell.org/packages/archive/GPipe/latest/doc/html/Graphics-GPipe-Stream-Fragment.html#t:FragmentStream <hask>FragmentStream</hask>]s.
+To render the primitives on the screen, we must first turn them into pixel fragments. This called rasterization and in our example done by the function [http://hackage.haskell.org/packages/archive/GPipe/latest/doc/html/Graphics-GPipe-Stream-Fragment.html#v:rasterizeFront <hask>rasterizeFront</hask>], which transforms <hask>PrimitiveStream</hask>s into [http://hackage.haskell.org/packages/archive/GPipe/latest/doc/html/Graphics-GPipe-Stream-Fragment.html#t:FragmentStream <hask>FragmentStream</hask>]s.
 <haskell>
-> rasterizedCube :: Float -> FragmentStream (Vec3 (Fragment Float), Vec2 (Fragment Float))
+> rasterizedCube :: Float -> Vec2 Int -> FragmentStream (Vec3 (Fragment Float), Vec2 (Fragment Float))
-> rasterizedCube angle = rasterizeFront $ transformedCube angle
+> rasterizedCube angle size = rasterizeFront $ transformedCube angle size
 </haskell>
@@ Line 130: / Line 130: @@
 <haskell>
-> litCube :: Texture2D RGBFormat -> Float -> FragmentStream (Color RGBFormat (Fragment Float))
+> litCube :: Texture2D RGBFormat -> Float -> Vec2 Int -> FragmentStream (Color RGBFormat (Fragment Float))
-> litCube tex angle = fmap (enlight tex) $ rasterizedCube angle
+> litCube tex angle size = fmap (enlight tex) $ rasterizedCube angle size
 > enlight tex (norm, uv) = RGB (c * Vec.vec (norm `dot` toGPU (0:.0:.1:.())))
@@ Line 138: / Line 138: @@
 </haskell>
-Using <hask>fmap</hask> on a <hask>FragmentStream</hask> will execute a function on the GPU using fragment shaders. The function [http://hackage.haskell.org/packages/archive/GPipe/1.1.3/doc/html/Graphics-GPipe-Texture.html#v:sample <hask>sample</hask>] is used for sampling the texture we have loaded, using the fragment's interpolated uv-coordinates and a sampler state.
+The function [http://hackage.haskell.org/packages/archive/GPipe/1.1.3/doc/html/Graphics-GPipe-Texture.html#v:sample <hask>sample</hask>] is used for sampling the texture we have loaded, using the fragment's interpolated uv-coordinates and a sampler state.
 Once we have a <hask>FragmentStream</hask> of <hask>Color</hask>s, we can paint those fragments onto a <hask>FrameBuffer</hask>.
@@ Line 151: / Line 151: @@
 <haskell>
-> cubeFrameBuffer :: Texture2D RGBFormat -> Float -> FrameBuffer RGBFormat () ()
+> cubeFrameBuffer :: Texture2D RGBFormat -> Float -> Vec2 Int -> FrameBuffer RGBFormat () ()
-> cubeFrameBuffer tex angle = paintSolid (litCube tex angle) emptyFrameBuffer
+> cubeFrameBuffer tex angle size = paintSolid (litCube tex angle size) emptyFrameBuffer
 > paintSolid = paintColor NoBlending (RGB $ Vec.vec True)
@@ Line 170: / Line 170: @@
 If you have any questions or suggestions, feel free to [mailto:tobias_bexelius@hotmail.com mail] me. I'm also interested in seeing some use cases from the community, as complex or trivial they may be.
-[[Category:3D]]

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