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{-# LANGUAGE DataKinds #-}
{-# LANGUAGE GADTs #-}
{-# LANGUAGE NumericUnderscores #-}
{-# LANGUAGE PatternSynonyms #-}
{-# LANGUAGE RankNTypes #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE TypeAbstractions #-}
{-# LANGUAGE TypeApplications #-}
{-# LANGUAGE TypeOperators #-}
{-# OPTIONS_GHC -fplugin GHC.TypeLits.Normalise #-}
{-# OPTIONS_GHC -fplugin GHC.TypeLits.KnownNat.Solver #-}
module Gen where
import qualified Data.ByteString as BS
import Data.Foldable (toList)
import qualified Data.Vector.Storable as VS
import Foreign
import GHC.TypeLits
import qualified GHC.TypeNats as TN
import Data.Array.Mixed (fromSNat', pattern SZ, pattern SS)
import Data.Array.Nested
import Hedgehog
import qualified Hedgehog.Gen as Gen
import qualified Hedgehog.Range as Range
import qualified System.Random as Random
import Util
genRank :: (forall n. SNat n -> PropertyT IO ()) -> PropertyT IO ()
genRank k = do
rank <- forAll $ Gen.int (Range.linear 0 8)
TN.withSomeSNat (fromIntegral rank) k
genLowBiased :: RealFloat a => (a, a) -> Gen a
genLowBiased (lo, hi) = do
x <- Gen.realFloat (Range.linearFrac 0 1)
return (lo + x * x * x * (hi - lo))
shuffleShR :: IShR n -> Gen (IShR n)
shuffleShR = \sh -> go (length (toList sh)) (toList sh) sh
where
go :: Int -> [Int] -> IShR n -> Gen (IShR n)
go _ _ ZSR = return ZSR
go nbag bag (_ :$: sh) = do
idx <- Gen.int (Range.linear 0 (nbag - 1))
let (dim, bag') = case splitAt idx bag of
(pre, n : post) -> (n, pre ++ post)
_ -> error "unreachable"
(dim :$:) <$> go (nbag - 1) bag' sh
genShR :: SNat n -> Gen (IShR n)
genShR sn = do
let n = fromSNat' sn
targetSize <- Gen.int (Range.linear 0 100_000)
let genDims :: SNat m -> Int -> Gen (IShR m)
genDims SZ _ = return ZSR
genDims (SS m) 0 = do
dim <- Gen.int (Range.linear 0 20)
dims <- genDims m 0
return (dim :$: dims)
genDims (SS m) tgt = do
dim <- Gen.frequency [(20 * n, round <$> genLowBiased @Double (2.0, max 2.0 (sqrt (fromIntegral tgt))))
,(2 , return tgt)
,(4 , return 1)
,(1 , return 0)]
dims <- genDims m (if dim == 0 then 0 else tgt `div` dim)
return (dim :$: dims)
dims <- genDims sn targetSize
let dimsL = toList dims
maxdim = maximum dimsL
cap = binarySearch (`div` 2) 1 maxdim (\cap' -> product (min cap' <$> dimsL) <= targetSize)
shuffleShR (min cap <$> dims)
genStorables :: forall a. Storable a => Range Int -> (Word64 -> a) -> GenT IO (VS.Vector a)
genStorables rng f = do
n <- Gen.int rng
seed <- Gen.resize 99 $ Gen.int Range.linearBounded
let gen0 = Random.mkStdGen seed
(bs, _) = Random.genByteString (8 * n) gen0
let readW64 i = sum (zipWith (*) (iterate (*256) 1) [fromIntegral (bs `BS.index` (8 * i + j)) | j <- [0..7]])
return $ VS.generate n (f . readW64)
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