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Diffstat (limited to 'compute')
| -rw-r--r-- | compute/Compute.hs | 148 |
1 files changed, 148 insertions, 0 deletions
diff --git a/compute/Compute.hs b/compute/Compute.hs new file mode 100644 index 0000000..fde31cf --- /dev/null +++ b/compute/Compute.hs @@ -0,0 +1,148 @@ +{-# LANGUAGE BlockArguments #-} +{-# LANGUAGE DeriveGeneric #-} +{-# LANGUAGE FlexibleContexts #-} +{-# LANGUAGE LambdaCase #-} +{-# LANGUAGE PatternSynonyms #-} +{-# LANGUAGE TypeApplications #-} +{-# LANGUAGE UndecidableInstances #-} +{-# LANGUAGE ViewPatterns #-} +module Main where + +import qualified Data.Array.Accelerate as A +-- import qualified Data.Array.Accelerate.Interpreter as Interpreter +import qualified Data.Array.Accelerate.LLVM.Native as CPU +import qualified Data.ByteString.Lazy as BSL +import Data.Function ((&)) +import qualified Data.Serialize as Ser +import Data.Word +import qualified Data.Vector.Storable as VS +import Text.Read (readMaybe) +import System.Environment (getArgs) +import System.Exit (exitFailure) + +import MandelHSlib + + +mandelstep :: (A.Ord a, A.Num a, A.Elt a) => A.Exp (a, a) -> A.Exp (a, a) -> A.Exp (a, a) +mandelstep (A.T2 cx cy) (A.T2 x y) = A.T2 (x * x - y * y + cx) (2 * x * y + cy) + +mandeliter :: (A.Ord a, A.Num a, A.Elt a) => A.Exp (a, a) -> Int -> A.Exp Int +mandeliter (A.T2 cx cy) maxiter = + let A.T3 nres _ _ = + A.while (\(A.T3 n x y) -> n A.< A.constant maxiter A.&& x * x + y * y A.< 4) + (\(A.T3 n x y) -> + let A.T2 x' y' = mandelstep (A.T2 cx cy) (A.T2 x y) + in A.T3 (n+1) x' y') + (A.T3 0 cx cy) + in nres + +pixel :: (A.Num a, Num a, Fractional a, A.Floating a, A.ToFloating Int a, A.Elt a) + => (Int, Int) -> A.Exp (a, a) -> A.Exp a -> A.Exp A.DIM2 -> A.Exp (a, a) +pixel (w, h) (A.T2 cx cy) cw (A.I2 iy ix) = + let ch = cw * A.constant (fromIntegral h / fromIntegral w) + ltx = cx - cw / 2 + lty = cy - ch / 2 + in A.T2 (ltx + cw / fromIntegral (w - 1) * A.toFloating ix) + (lty + ch / fromIntegral (h - 1) * A.toFloating iy) + +invpixel :: (A.Num a, Num a, Fractional a, A.RealFrac a, A.ToFloating Int a, A.Elt a) + => (Int, Int) -> A.Exp (a, a) -> A.Exp a -> A.Exp (a, a) -> A.Exp (Maybe A.DIM2) +invpixel (w, h) (A.T2 cx cy) cw (A.T2 x y) = + let ch = cw * A.constant (fromIntegral h / fromIntegral w) + ltx = cx - cw / 2 + lty = cy - ch / 2 + ix = A.round $ (x - ltx) / cw * fromIntegral (w - 1) + iy = A.round $ (y - lty) / ch * fromIntegral (h - 1) + in A.cond (0 A.<= ix A.&& ix A.< A.constant w A.&& + 0 A.<= iy A.&& iy A.< A.constant h) + (A.Just_ (A.I2 iy ix)) + A.Nothing_ + +mandelbrot :: (A.Num a, Num a, A.Ord a, Fractional a, A.Floating a, A.ToFloating Int a, A.Elt a) + => (Int, Int) -> Int -> A.Acc (A.Scalar (a, a)) -> A.Acc (A.Scalar a) + -> A.Acc (A.Matrix Int) +mandelbrot size@(w, h) maxiter (A.the -> cpos) (A.the -> cw) = + A.generate (A.I2 (A.constant h) (A.constant w)) $ \idx -> + mandeliter (pixel size cpos cw idx) maxiter + +mandelSet :: (A.Num a, Num a, A.Ord a, Fractional a, A.Floating a, A.ToFloating Int a, A.Elt a) + => (Int, Int) -> Int -> A.Acc (A.Scalar (a, a)) -> A.Acc (A.Scalar a) + -> A.Acc (A.Matrix Bool) +mandelSet size maxiter cpos cw = + A.map (A.== A.constant maxiter) (mandelbrot size maxiter cpos cw) + +image :: (A.Num a, Num a, A.Ord a, Fractional a, A.RealFrac a, A.Floating a, A.ToFloating Int a, A.Elt a) + => (Int, Int) -> Int -> A.Acc (A.Scalar (a, a)) -> A.Acc (A.Scalar a) + -> A.Acc (A.Matrix a) +image size@(w, h) maxiter acpos@(A.the -> cpos) acw@(A.the -> cw) = + let mbrot = mandelbrot (w, h) maxiter acpos acw + mset = A.map (A.== A.constant maxiter) mbrot + isize = A.I2 (A.constant h) (A.constant w) + pixels = A.generate isize (pixel size cpos cw) + A.T2 _ res = + A.awhile (\(A.T2 (A.the -> iter) _) -> A.unit (iter A.< A.constant maxiter)) + (\(A.T2 iter current) -> + let current' = + A.zipWith (\c (A.T2 z n) -> + let z' = mandelstep c z + n' = invpixel size cpos cw z' & A.match \case + A.Nothing_ -> n + A.Just_ z'pix -> + A.cond (mset A.! z'pix) (n+1) n + in A.T2 z' n') + pixels current + in A.T2 (A.map (+1) iter) current') + (A.T2 (A.unit 0) + (A.map (\z -> A.T2 z (0 :: A.Exp Int)) pixels)) + counts = A.map A.snd res + in A.zipWith (/) (A.map A.toFloating counts) (A.map A.toFloating mbrot) + + +colorscheme :: (Ord a, Floating a, RealFrac a) => a -> (Word8, Word8, Word8) +colorscheme fraction + -- | fraction == 1.0 = (0, 0, 0) + | otherwise = + let x = max 0 fraction ** 0.3 + bg = 0.2 * (1 - curve x (-0.1) 0.2) + in (tow8 $ bg + curve x 0 0.4 - 0.8 * curve x 0.6 1.0 + ,tow8 $ bg + 0.8 * curve x 0.3 0.7 + ,tow8 $ bg + curve x 0.6 1.0) + where + tow8 x = round (max 0 (min 255 (x * 255))) + curve x start end + | x <= start = 0 + | x >= end = 1 + | otherwise = sin (pi/(end-start) * (x - start) - pi/2) / 2 + 0.5 + +computeFractal :: (Ord a, Floating a, RealFrac a, A.Elt a, A.RealFrac a, A.Floating a, A.ToFloating Int a, VS.Storable a) + => (Int, Int) -> Int -> Fractal a +computeFractal (w, h) maxiter = + -- let arr = CPU.runN (\cpos cw -> + -- A.map (\n -> A.toFloating n / A.toFloating (A.constant maxiter)) + -- (mandelbrot (w, h) maxiter cpos cw)) + -- (A.fromList A.Z [(-0.5, 0.0)]) + -- (A.fromList A.Z [3.5]) + let arr = CPU.runN (\cpos cw -> image (w, h) maxiter cpos cw) + (A.fromList A.Z [(-0.5, 0.0)]) + (A.fromList A.Z [3.5]) + in Fractal (w, h) maxiter (VS.fromList (A.toList arr)) + +usage :: String +usage = + "Usage: mandelhs-compute <outfile.data> <width> <height> <maxiter>\n" + +main :: IO () +main = do + -- let (w, h) = (4 * 2000, 4 * 1500) + -- maxiter = 1024 + + args <- getArgs + case args of + [outfile, wids, heis, maxiters] -> + case (readMaybe wids, readMaybe heis, readMaybe maxiters) of + (Just w, Just h, Just maxiter) -> + BSL.writeFile outfile $ + Ser.runPutLazy (Ser.put (computeFractal @Double (w, h) maxiter)) + _ -> putStr usage >> exitFailure + + _ -> putStr usage >> exitFailure |