module Test.QuickCheck.Matrix.Tri.Banded
where
import Control.Monad ( replicateM )
import Test.QuickCheck hiding ( vector )
import qualified Test.QuickCheck as QC
import Test.QuickCheck.Vector.Dense ( TestVector(..), dvector )
import Test.QuickCheck.Matrix.Dense ( dmatrix )
import Test.QuickCheck.Matrix ( matrixSized )
import Data.Vector.Dense ( Vector )
import Data.Matrix.Dense ( Matrix )
import Data.Matrix.Banded
import BLAS.Elem ( BLAS1, BLAS2 )
import Data.Matrix.Tri.Banded ( Tri, UpLo(..), Diag(..), fromBase )
triBanded :: (BLAS1 e, Arbitrary e) => UpLo -> Diag -> Int -> Int -> Gen (Banded (n,n) e)
triBanded Upper NonUnit n k = do
a <- triBanded Upper Unit n k
d <- QC.vector n
let (_,_,(_:ds)) = toLists a
return $ listsBanded (n,n) (0,k) (d:ds)
triBanded Lower NonUnit n k = do
a <- triBanded Lower Unit n k
d <- QC.vector n
let (_,_,ds) = toLists a
ds' = (init ds) ++ [d]
return $ listsBanded (n,n) (k,0) ds'
triBanded _ Unit n 0 = do
return $ listsBanded (n,n) (0,0) [replicate n 1]
triBanded Upper Unit n k = do
a <- triBanded Upper Unit n (k1)
let (_,_,ds) = toLists a
d <- QC.vector (nk) >>= \xs -> return $ xs ++ replicate k 0
return $ listsBanded (n,n) (0,k) $ ds ++ [d]
triBanded Lower Unit n k = do
a <- triBanded Lower Unit n (k1)
let (_,_,ds) = toLists a
d <- QC.vector (nk) >>= \xs -> return $ replicate k 0 ++ xs
return $ listsBanded (n,n) (k,0) $ [d] ++ ds
data TriBanded n e =
TriBanded (Tri Banded (n,n) e) (Banded (n,n) e) deriving Show
instance (Arbitrary e, BLAS1 e) => Arbitrary (TriBanded n e) where
arbitrary = matrixSized $ \s -> do
u <- elements [ Upper, Lower ]
d <- elements [ Unit, NonUnit ]
n <- choose (0,s)
k <- if n == 0 then return 0 else choose (0,n1)
a <- triBanded u d n k
l <- if n == 0 then return 0 else choose (0,n1)
junk <- replicateM l $ QC.vector n
diagJunk <- QC.vector n
let (_,_,ds) = toLists a
t = case (u,d) of
(Upper,NonUnit) ->
listsBanded (n,n) (l,k) $ junk ++ ds
(Upper,Unit) ->
listsBanded (n,n) (l,k) $ junk ++ [diagJunk] ++ tail ds
(Lower,NonUnit) ->
listsBanded (n,n) (k,l) $ ds ++ junk
(Lower,Unit) ->
listsBanded (n,n) (k,l) $ init ds ++ [diagJunk] ++ junk
t' = fromBase u d t
return $ TriBanded t' a
coarbitrary = undefined
data TriBandedMV n e =
TriBandedMV (Tri Banded (n,n) e) (Banded (n,n) e) (Vector n e) deriving Show
instance (Arbitrary e, BLAS1 e) => Arbitrary (TriBandedMV n e) where
arbitrary = do
(TriBanded t a) <- arbitrary
x <- dvector (numCols t)
return $ TriBandedMV t a x
coarbitrary (TriBandedMV t a x) =
coarbitrary (TriBanded t a, TestVector x)
data TriBandedMM m n e =
TriBandedMM (Tri Banded (m,m) e) (Banded (m,m) e) (Matrix (m,n) e) deriving Show
instance (Arbitrary e, BLAS1 e) => Arbitrary (TriBandedMM m n e) where
arbitrary = matrixSized $ \s -> do
(TriBanded t a) <- arbitrary
n <- choose (0,s)
b <- dmatrix (numCols t, n)
return $ TriBandedMM t a b
coarbitrary = undefined
data TriBandedSV n e =
TriBandedSV (Tri Banded (n,n) e) (Vector n e) deriving (Show)
instance (Arbitrary e, BLAS2 e) => Arbitrary (TriBandedSV n e) where
arbitrary = do
(TriBanded t _) <- arbitrary
t' <- elements [ t
, herm t
]
x <- dvector (numCols t')
let y = t' <*> x
return (TriBandedSV t' y)
coarbitrary = undefined
data TriBandedSM m n e =
TriBandedSM (Tri Banded (m,m) e) (Matrix (m,n) e)
deriving (Show)
instance (Arbitrary e, BLAS2 e) => Arbitrary (TriBandedSM m n e) where
arbitrary = matrixSized $ \s -> do
(TriBandedSV t _) <- arbitrary
t' <- elements [ t
, herm t
]
n <- choose (0, s)
a <- dmatrix (numCols t, n)
let b = t' <**> a
return (TriBandedSM t' b)
coarbitrary = undefined