move internal static

1 files changed, 0 insertions, 524 deletions

diff --git a/packages/base/src/Numeric/LinearAlgebra/Static/Internal.hs b/packages/base/src/Numeric/LinearAlgebra/Static/Internal.hs
deleted file mode 100644
index 7b770e0..0000000
--- a/packages/base/src/Numeric/LinearAlgebra/Static/Internal.hs
+++ /dev/null
@@ -1,524 +0,0 @@
-#if __GLASGOW_HASKELL__ >= 708
-
-{-# LANGUAGE DataKinds #-}
-{-# LANGUAGE KindSignatures #-}
-{-# LANGUAGE GeneralizedNewtypeDeriving #-}
-{-# LANGUAGE MultiParamTypeClasses #-}
-{-# LANGUAGE FunctionalDependencies #-}
-{-# LANGUAGE FlexibleContexts #-}
-{-# LANGUAGE ScopedTypeVariables #-}
-{-# LANGUAGE Rank2Types #-}
-{-# LANGUAGE FlexibleInstances #-}
-{-# LANGUAGE TypeOperators #-}
-{-# LANGUAGE ViewPatterns #-}
-
-{- |
-Module      :  Numeric.LinearAlgebra.Static.Internal
-Copyright   :  (c) Alberto Ruiz 2006-14
-License     :  BSD3
-Stability   :  provisional
-
--}
-
-module Numeric.LinearAlgebra.Static.Internal where
-
-
-import GHC.TypeLits
-import qualified Numeric.LinearAlgebra as LA
-import Numeric.LinearAlgebra hiding (konst,size)
-import Data.Packed as D
-import Data.Packed.ST
-import Data.Proxy(Proxy)
-import Foreign.Storable(Storable)
-import Text.Printf
-
---------------------------------------------------------------------------------
-
-newtype Dim (n :: Nat) t = Dim t
-  deriving Show
-
-lift1F
-  :: (c t -> c t)
-  -> Dim n (c t) -> Dim n (c t)
-lift1F f (Dim v) = Dim (f v)
-
-lift2F
-  :: (c t -> c t -> c t)
-  -> Dim n (c t) -> Dim n (c t) -> Dim n (c t)
-lift2F f (Dim u) (Dim v) = Dim (f u v)
-
---------------------------------------------------------------------------------
-
-newtype R n = R (Dim n (Vector ℝ))
-  deriving (Num,Fractional,Floating)
-
-newtype C n = C (Dim n (Vector ℂ))
-  deriving (Num,Fractional,Floating)
-
-newtype L m n = L (Dim m (Dim n (Matrix ℝ)))
-
-newtype M m n = M (Dim m (Dim n (Matrix  ℂ)))
-
-
-mkR :: Vector ℝ -> R n
-mkR = R . Dim
-
-mkC :: Vector ℂ -> C n
-mkC = C . Dim
-
-mkL :: Matrix ℝ -> L m n
-mkL x = L (Dim (Dim x))
-
-mkM :: Matrix ℂ -> M m n
-mkM x = M (Dim (Dim x))
-
---------------------------------------------------------------------------------
-
-type V n t = Dim n (Vector t)
-
-ud :: Dim n (Vector t) -> Vector t
-ud (Dim v) = v
-
-mkV :: forall (n :: Nat) t . t -> Dim n t
-mkV = Dim
-
-
-vconcat :: forall n m t . (KnownNat n, KnownNat m, Numeric t)
-    => V n t -> V m t -> V (n+m) t
-(ud -> u) `vconcat` (ud -> v) = mkV (vjoin [u', v'])
-  where
-    du = fromIntegral . natVal $ (undefined :: Proxy n)
-    dv = fromIntegral . natVal $ (undefined :: Proxy m)
-    u' | du > 1 && LA.size u == 1 = LA.konst (u D.@> 0) du
-       | otherwise = u
-    v' | dv > 1 && LA.size v == 1 = LA.konst (v D.@> 0) dv
-       | otherwise = v
-
-
-gvec2 :: Storable t => t -> t -> V 2 t
-gvec2 a b = mkV $ runSTVector $ do
-    v <- newUndefinedVector 2
-    writeVector v 0 a
-    writeVector v 1 b
-    return v
-
-gvec3 :: Storable t => t -> t -> t -> V 3 t
-gvec3 a b c = mkV $ runSTVector $ do
-    v <- newUndefinedVector 3
-    writeVector v 0 a
-    writeVector v 1 b
-    writeVector v 2 c
-    return v
-
-
-gvec4 :: Storable t => t -> t -> t -> t -> V 4 t
-gvec4 a b c d = mkV $ runSTVector $ do
-    v <- newUndefinedVector 4
-    writeVector v 0 a
-    writeVector v 1 b
-    writeVector v 2 c
-    writeVector v 3 d
-    return v
-
-
-gvect :: forall n t . (Show t, KnownNat n, Numeric t) => String -> [t] -> V n t
-gvect st xs'
-    | ok = mkV v
-    | not (null rest) && null (tail rest) = abort (show xs')
-    | not (null rest) = abort (init (show (xs++take 1 rest))++", ... ]")
-    | otherwise = abort (show xs)
-  where
-    (xs,rest) = splitAt d xs'
-    ok = LA.size v == d && null rest
-    v = LA.fromList xs
-    d = fromIntegral . natVal $ (undefined :: Proxy n)
-    abort info = error $ st++" "++show d++" can't be created from elements "++info
-
-
---------------------------------------------------------------------------------
-
-type GM m n t = Dim m (Dim n (Matrix t))
-
-
-gmat :: forall m n t . (Show t, KnownNat m, KnownNat n, Numeric t) => String -> [t] -> GM m n t
-gmat st xs'
-    | ok = Dim (Dim x)
-    | not (null rest) && null (tail rest) = abort (show xs')
-    | not (null rest) = abort (init (show (xs++take 1 rest))++", ... ]")
-    | otherwise = abort (show xs)
-  where
-    (xs,rest) = splitAt (m'*n') xs'
-    v = LA.fromList xs
-    x = reshape n' v
-    ok = null rest && ((n' == 0 && dim v == 0) || n'> 0 && (rem (LA.size v) n' == 0) && LA.size x == (m',n'))
-    m' = fromIntegral . natVal $ (undefined :: Proxy m) :: Int
-    n' = fromIntegral . natVal $ (undefined :: Proxy n) :: Int
-    abort info = error $ st ++" "++show m' ++ " " ++ show n'++" can't be created from elements " ++ info
-
---------------------------------------------------------------------------------
-
-class Num t => Sized t s d | s -> t, s -> d
-  where
-    konst     ::  t   -> s
-    unwrap    ::  s   -> d t
-    fromList  :: [t]  -> s
-    extract   ::  s   -> d t
-    create    ::  d t -> Maybe s
-    size      ::  s   -> IndexOf d
-
-singleV v = LA.size v == 1
-singleM m = rows m == 1 && cols m == 1
-
-
-instance forall n. KnownNat n => Sized ℂ (C n) Vector
-  where
-    size _ = fromIntegral . natVal $ (undefined :: Proxy n)
-    konst x = mkC (LA.scalar x)
-    unwrap (C (Dim v)) = v
-    fromList xs = C (gvect "C" xs)
-    extract s@(unwrap -> v)
-      | singleV v = LA.konst (v!0) (size s)
-      | otherwise = v
-    create v
-        | LA.size v == size r = Just r
-        | otherwise = Nothing
-      where
-        r = mkC v :: C n
-
-
-instance forall n. KnownNat n => Sized ℝ (R n) Vector
-  where
-    size _ = fromIntegral . natVal $ (undefined :: Proxy n)
-    konst x = mkR (LA.scalar x)
-    unwrap (R (Dim v)) = v
-    fromList xs = R (gvect "R" xs)
-    extract s@(unwrap -> v)
-      | singleV v = LA.konst (v!0) (size s)
-      | otherwise = v
-    create v
-        | LA.size v == size r = Just r
-        | otherwise = Nothing
-      where
-        r = mkR v :: R n
-
-
-
-instance forall m n . (KnownNat m, KnownNat n) => Sized ℝ (L m n) Matrix
-  where
-    size _ = ((fromIntegral . natVal) (undefined :: Proxy m)
-             ,(fromIntegral . natVal) (undefined :: Proxy n))
-    konst x = mkL (LA.scalar x)
-    fromList xs = L (gmat "L" xs)
-    unwrap (L (Dim (Dim m))) = m
-    extract (isDiag -> Just (z,y,(m',n'))) = diagRect z y m' n'
-    extract s@(unwrap -> a)
-        | singleM a = LA.konst (a `atIndex` (0,0)) (size s)
-        | otherwise = a
-    create x
-        | LA.size x == size r = Just r
-        | otherwise = Nothing
-      where
-        r = mkL x :: L m n
-
-
-instance forall m n . (KnownNat m, KnownNat n) => Sized ℂ (M m n) Matrix
-  where
-    size _ = ((fromIntegral . natVal) (undefined :: Proxy m)
-             ,(fromIntegral . natVal) (undefined :: Proxy n))
-    konst x = mkM (LA.scalar x)
-    fromList xs = M (gmat "M" xs)
-    unwrap (M (Dim (Dim m))) = m
-    extract (isDiagC -> Just (z,y,(m',n'))) = diagRect z y m' n'
-    extract s@(unwrap -> a)
-        | singleM a = LA.konst (a `atIndex` (0,0)) (size s)
-        | otherwise = a
-    create x
-        | LA.size x == size r = Just r
-        | otherwise = Nothing
-      where
-        r = mkM x :: M m n
-
---------------------------------------------------------------------------------
-
-instance (KnownNat n, KnownNat m) => Transposable (L m n) (L n m)
-  where
-    tr a@(isDiag -> Just _) = mkL (extract a)
-    tr (extract -> a) = mkL (tr a)
-    tr' = tr
-
-instance (KnownNat n, KnownNat m) => Transposable (M m n) (M n m)
-  where
-    tr a@(isDiagC -> Just _) = mkM (extract a)
-    tr (extract -> a) = mkM (tr a)
-    tr' a@(isDiagC -> Just _) = mkM (extract a)
-    tr' (extract -> a) = mkM (tr' a)
-
---------------------------------------------------------------------------------
-
-isDiag :: forall m n . (KnownNat m, KnownNat n) => L m n -> Maybe (ℝ, Vector ℝ, (Int,Int))
-isDiag (L x) = isDiagg x
-
-isDiagC :: forall m n . (KnownNat m, KnownNat n) => M m n -> Maybe (ℂ, Vector ℂ, (Int,Int))
-isDiagC (M x) = isDiagg x
-
-
-isDiagg :: forall m n t . (Numeric t, KnownNat m, KnownNat n) => GM m n t -> Maybe (t, Vector t, (Int,Int))
-isDiagg (Dim (Dim x))
-    | singleM x = Nothing
-    | rows x == 1 && m' > 1 || cols x == 1 && n' > 1 = Just (z,yz,(m',n'))
-    | otherwise = Nothing
-  where
-    m' = fromIntegral . natVal $ (undefined :: Proxy m) :: Int
-    n' = fromIntegral . natVal $ (undefined :: Proxy n) :: Int
-    v = flatten x
-    z = v `atIndex` 0
-    y = subVector 1 (LA.size v-1) v
-    ny = LA.size y
-    zeros = LA.konst 0 (max 0 (min m' n' - ny))
-    yz = vjoin [y,zeros]
-
---------------------------------------------------------------------------------
-
-instance forall n . KnownNat n => Show (R n)
-  where
-    show s@(R (Dim v))
-      | singleV v = "("++show (v!0)++" :: R "++show d++")"
-      | otherwise   = "(vector"++ drop 8 (show v)++" :: R "++show d++")"
-      where
-        d = size s
-
-instance forall n . KnownNat n => Show (C n)
-  where
-    show s@(C (Dim v))
-      | singleV v = "("++show (v!0)++" :: C "++show d++")"
-      | otherwise   = "(vector"++ drop 8 (show v)++" :: C "++show d++")"
-      where
-        d = size s
-
-instance forall m n . (KnownNat m, KnownNat n) => Show (L m n)
-  where
-    show (isDiag -> Just (z,y,(m',n'))) = printf "(diag %s %s :: L %d %d)" (show z) (drop 9 $ show y) m' n'
-    show s@(L (Dim (Dim x)))
-       | singleM x = printf "(%s :: L %d %d)" (show (x `atIndex` (0,0))) m' n'
-       | otherwise = "(matrix"++ dropWhile (/='\n') (show x)++" :: L "++show m'++" "++show n'++")"
-      where
-        (m',n') = size s
-
-instance forall m n . (KnownNat m, KnownNat n) => Show (M m n)
-  where
-    show (isDiagC -> Just (z,y,(m',n'))) = printf "(diag %s %s :: M %d %d)" (show z) (drop 9 $ show y) m' n'
-    show s@(M (Dim (Dim x)))
-       | singleM x = printf "(%s :: M %d %d)" (show (x `atIndex` (0,0))) m' n'
-       | otherwise = "(matrix"++ dropWhile (/='\n') (show x)++" :: M "++show m'++" "++show n'++")"
-      where
-        (m',n') = size s
-
---------------------------------------------------------------------------------
-
-instance forall n t . (Num (Vector t), Numeric t )=> Num (Dim n (Vector t))
-  where
-    (+) = lift2F (+)
-    (*) = lift2F (*)
-    (-) = lift2F (-)
-    abs = lift1F abs
-    signum = lift1F signum
-    negate = lift1F negate
-    fromInteger x = Dim (fromInteger x)
-
-instance (Num (Vector t), Num (Matrix t), Fractional t, Numeric t) => Fractional (Dim n (Vector t))
-  where
-    fromRational x = Dim (fromRational x)
-    (/) = lift2F (/)
-
-instance (Fractional t, Floating (Vector t), Numeric t) => Floating (Dim n (Vector t)) where
-    sin   = lift1F sin
-    cos   = lift1F cos
-    tan   = lift1F tan
-    asin  = lift1F asin
-    acos  = lift1F acos
-    atan  = lift1F atan
-    sinh  = lift1F sinh
-    cosh  = lift1F cosh
-    tanh  = lift1F tanh
-    asinh = lift1F asinh
-    acosh = lift1F acosh
-    atanh = lift1F atanh
-    exp   = lift1F exp
-    log   = lift1F log
-    sqrt  = lift1F sqrt
-    (**)  = lift2F (**)
-    pi    = Dim pi
-
-
-instance (Num (Matrix t), Numeric t) => Num (Dim m (Dim n (Matrix t)))
-  where
-    (+) = (lift2F . lift2F) (+)
-    (*) = (lift2F . lift2F) (*)
-    (-) = (lift2F . lift2F) (-)
-    abs = (lift1F . lift1F) abs
-    signum = (lift1F . lift1F) signum
-    negate = (lift1F . lift1F) negate
-    fromInteger x = Dim (Dim (fromInteger x))
-
-instance (Num (Vector t), Num (Matrix t), Fractional t, Numeric t) => Fractional (Dim m (Dim n (Matrix t)))
-  where
-    fromRational x = Dim (Dim (fromRational x))
-    (/) = (lift2F.lift2F) (/)
-
-instance (Num (Vector t), Floating (Matrix t), Fractional t, Numeric t) => Floating (Dim m (Dim n (Matrix t))) where
-    sin   = (lift1F . lift1F) sin
-    cos   = (lift1F . lift1F) cos
-    tan   = (lift1F . lift1F) tan
-    asin  = (lift1F . lift1F) asin
-    acos  = (lift1F . lift1F) acos
-    atan  = (lift1F . lift1F) atan
-    sinh  = (lift1F . lift1F) sinh
-    cosh  = (lift1F . lift1F) cosh
-    tanh  = (lift1F . lift1F) tanh
-    asinh = (lift1F . lift1F) asinh
-    acosh = (lift1F . lift1F) acosh
-    atanh = (lift1F . lift1F) atanh
-    exp   = (lift1F . lift1F) exp
-    log   = (lift1F . lift1F) log
-    sqrt  = (lift1F . lift1F) sqrt
-    (**)  = (lift2F . lift2F) (**)
-    pi    = Dim (Dim pi)
-
---------------------------------------------------------------------------------
-
-
-adaptDiag f a@(isDiag -> Just _) b | isFull b = f (mkL (extract a)) b
-adaptDiag f a b@(isDiag -> Just _) | isFull a = f a (mkL (extract b))
-adaptDiag f a b = f a b
-
-isFull m = isDiag m == Nothing && not (singleM (unwrap m))
-
-
-lift1L f (L v) = L (f v)
-lift2L f (L a) (L b) = L (f a b)
-lift2LD f = adaptDiag (lift2L f)
-
-
-instance (KnownNat n, KnownNat m) =>  Num (L n m)
-  where
-    (+) = lift2LD (+)
-    (*) = lift2LD (*)
-    (-) = lift2LD (-)
-    abs = lift1L abs
-    signum = lift1L signum
-    negate = lift1L negate
-    fromInteger = L . Dim . Dim . fromInteger
-
-instance (KnownNat n, KnownNat m) => Fractional (L n m)
-  where
-    fromRational = L . Dim . Dim . fromRational
-    (/) = lift2LD (/)
-
-instance (KnownNat n, KnownNat m) => Floating (L n m) where
-    sin   = lift1L sin
-    cos   = lift1L cos
-    tan   = lift1L tan
-    asin  = lift1L asin
-    acos  = lift1L acos
-    atan  = lift1L atan
-    sinh  = lift1L sinh
-    cosh  = lift1L cosh
-    tanh  = lift1L tanh
-    asinh = lift1L asinh
-    acosh = lift1L acosh
-    atanh = lift1L atanh
-    exp   = lift1L exp
-    log   = lift1L log
-    sqrt  = lift1L sqrt
-    (**)  = lift2LD (**)
-    pi    = konst pi
-
---------------------------------------------------------------------------------
-
-adaptDiagC f a@(isDiagC -> Just _) b | isFullC b = f (mkM (extract a)) b
-adaptDiagC f a b@(isDiagC -> Just _) | isFullC a = f a (mkM (extract b))
-adaptDiagC f a b = f a b
-
-isFullC m = isDiagC m == Nothing && not (singleM (unwrap m))
-
-lift1M f (M v) = M (f v)
-lift2M f (M a) (M b) = M (f a b)
-lift2MD f = adaptDiagC (lift2M f)
-
-instance (KnownNat n, KnownNat m) =>  Num (M n m)
-  where
-    (+) = lift2MD (+)
-    (*) = lift2MD (*)
-    (-) = lift2MD (-)
-    abs = lift1M abs
-    signum = lift1M signum
-    negate = lift1M negate
-    fromInteger = M . Dim . Dim . fromInteger
-
-instance (KnownNat n, KnownNat m) => Fractional (M n m)
-  where
-    fromRational = M . Dim . Dim . fromRational
-    (/) = lift2MD (/)
-
-instance (KnownNat n, KnownNat m) => Floating (M n m) where
-    sin   = lift1M sin
-    cos   = lift1M cos
-    tan   = lift1M tan
-    asin  = lift1M asin
-    acos  = lift1M acos
-    atan  = lift1M atan
-    sinh  = lift1M sinh
-    cosh  = lift1M cosh
-    tanh  = lift1M tanh
-    asinh = lift1M asinh
-    acosh = lift1M acosh
-    atanh = lift1M atanh
-    exp   = lift1M exp
-    log   = lift1M log
-    sqrt  = lift1M sqrt
-    (**)  = lift2MD (**)
-    pi    = M pi
-
---------------------------------------------------------------------------------
-
-
-class Disp t
-  where
-    disp :: Int -> t -> IO ()
-
-
-instance (KnownNat m, KnownNat n) => Disp (L m n)
-  where
-    disp n x = do
-        let a = extract x
-        let su = LA.dispf n a
-        printf "L %d %d" (rows a) (cols a) >> putStr (dropWhile (/='\n') $ su)
-
-instance (KnownNat m, KnownNat n) => Disp (M m n)
-  where
-    disp n x = do
-        let a = extract x
-        let su = LA.dispcf n a
-        printf "M %d %d" (rows a) (cols a) >> putStr (dropWhile (/='\n') $ su)
-
-
-instance KnownNat n => Disp (R n)
-  where
-    disp n v = do
-        let su = LA.dispf n (asRow $ extract v)
-        putStr "R " >> putStr (tail . dropWhile (/='x') $ su)
-
-instance KnownNat n => Disp (C n)
-  where
-    disp n v = do
-        let su = LA.dispcf n (asRow $ extract v)
-        putStr "C " >> putStr (tail . dropWhile (/='x') $ su)
-
---------------------------------------------------------------------------------
-
-#else
-
-module Numeric.LinearAlgebra.Static.Internal where
-
-#endif
-