module BLAS.Matrix.Solve.Mutable (
getSolve,
getSolveMat,
getSSolve,
getSSolveMat,
doSolve,
doSolveMat,
doSSolve,
doSSolveMat,
doSolve_,
doSolveMat_,
doSSolve_,
doSSolveMat_,
MSolve(..),
unsafeGetSolve,
unsafeGetSolveMat,
unsafeGetSSolve,
unsafeGetSSolveMat,
) where
import BLAS.Elem
import BLAS.Internal ( checkMatVecSolv, checkMatMatSolv, checkMatVecSolvTo,
checkMatMatSolvTo, checkSquare )
import BLAS.Matrix.Base
import Data.Vector.Dense.Class
import Data.Matrix.Dense.Class hiding ( BaseMatrix )
class (BaseMatrix a, BLAS1 e, Monad m) => MSolve a e m where
unsafeDoSolve :: (ReadVector y m, WriteVector x m) =>
a (k,l) e -> y k e -> x l e -> m ()
unsafeDoSolve = unsafeDoSSolve 1
unsafeDoSolveMat :: (ReadMatrix c y m, WriteMatrix b x m) =>
a (r,s) e -> c (r,t) e -> b (s,t) e -> m ()
unsafeDoSolveMat = unsafeDoSSolveMat 1
unsafeDoSSolve :: (ReadVector y m, WriteVector x m) =>
e -> a (k,l) e -> y k e -> x l e -> m ()
unsafeDoSSolve alpha a y x = do
unsafeDoSolve a y x
scaleBy alpha x
unsafeDoSSolveMat :: (ReadMatrix c y m, WriteMatrix b x m) =>
e -> a (r,s) e -> c (r,t) e -> b (s,t) e -> m ()
unsafeDoSSolveMat alpha a c b = do
unsafeDoSolveMat a c b
scaleBy alpha b
unsafeDoSolve_ :: (WriteVector x m) => a (k,k) e -> x k e -> m ()
unsafeDoSolve_ = unsafeDoSSolve_ 1
unsafeDoSSolve_ :: (WriteVector x m) => e -> a (k,k) e -> x k e -> m ()
unsafeDoSSolve_ alpha a x = do
scaleBy alpha x
unsafeDoSolve_ a x
unsafeDoSolveMat_ :: (WriteMatrix b x m) => a (k,k) e -> b (k,l) e -> m ()
unsafeDoSolveMat_ = unsafeDoSSolveMat_ 1
unsafeDoSSolveMat_ :: (WriteMatrix b x m) => e -> a (k,k) e -> b (k,l) e -> m ()
unsafeDoSSolveMat_ alpha a b = do
scaleBy alpha b
unsafeDoSolveMat_ a b
unsafeGetSolve :: (MSolve a e m, ReadVector y m, WriteVector x m) =>
a (k,l) e -> y k e -> m (x l e)
unsafeGetSolve a y = do
x <- newVector_ (numCols a)
unsafeDoSolve a y x
return x
unsafeGetSSolve :: (MSolve a e m, ReadVector y m, WriteVector x m) =>
e -> a (k,l) e -> y k e -> m (x l e)
unsafeGetSSolve alpha a y = do
x <- newVector_ (numCols a)
unsafeDoSSolve alpha a y x
return x
unsafeGetSolveMat :: (MSolve a e m, ReadMatrix c y m, WriteMatrix b x m) =>
a (r,s) e -> c (r,t) e -> m (b (s,t) e)
unsafeGetSolveMat a c = do
b <- newMatrix_ (numCols a, numCols c)
unsafeDoSolveMat a c b
return b
unsafeGetSSolveMat :: (MSolve a e m, ReadMatrix c y m, WriteMatrix b x m) =>
e -> a (r,s) e -> c (r,t) e -> m (b (s,t) e)
unsafeGetSSolveMat alpha a c = do
b <- newMatrix_ (numCols a, numCols c)
unsafeDoSSolveMat alpha a c b
return b
getSolve :: (MSolve a e m, ReadVector y m, WriteVector x m) =>
a (k,l) e -> y k e -> m (x l e)
getSolve a y =
checkMatVecSolv (shape a) (dim y) $
unsafeGetSolve a y
getSSolve :: (MSolve a e m, ReadVector y m, WriteVector x m) =>
e -> a (k,l) e -> y k e -> m (x l e)
getSSolve alpha a y =
checkMatVecSolv (shape a) (dim y) $
unsafeGetSSolve alpha a y
getSolveMat :: (MSolve a e m, ReadMatrix c y m, WriteMatrix b x m) =>
a (r,s) e -> c (r,t) e -> m (b (s,t) e)
getSolveMat a c =
checkMatMatSolv (shape a) (shape c) $
unsafeGetSolveMat a c
getSSolveMat :: (MSolve a e m, ReadMatrix c y m, WriteMatrix b x m) =>
e -> a (r,s) e -> c (r,t) e -> m (b (s,t) e)
getSSolveMat alpha a b =
checkMatMatSolv (shape a) (shape b) $
unsafeGetSSolveMat alpha a b
doSolve :: (MSolve a e m, ReadVector y m, WriteVector x m) =>
a (r,s) e -> y r e -> x s e -> m ()
doSolve a y x =
checkMatVecSolvTo (shape a) (dim y) (dim x) $
unsafeDoSolve a y x
doSolveMat :: (MSolve a e m, ReadMatrix c y m, WriteMatrix b x m) =>
a (r,s) e -> c (r,t) e -> b (s,t) e -> m ()
doSolveMat a c b =
checkMatMatSolvTo (shape a) (shape c) (shape b) $
unsafeDoSolveMat a c b
doSSolve :: (MSolve a e m, ReadVector y m, WriteVector x m) =>
e -> a (k,l) e -> y k e -> x l e -> m ()
doSSolve alpha a y x =
checkMatVecSolvTo (shape a) (dim y) (dim x) $
unsafeDoSSolve alpha a y x
doSSolveMat :: (MSolve a e m, ReadMatrix c y m, WriteMatrix b x m) =>
e -> a (r,s) e -> c (r,t) e -> b (s,t) e -> m ()
doSSolveMat alpha a c b =
checkMatMatSolvTo (shape a) (shape c) (shape b) $
unsafeDoSSolveMat alpha a c b
doSolve_ :: (MSolve a e m, ReadVector y m, WriteVector x m) =>
a (k,k) e -> x k e -> m ()
doSolve_ a x =
checkSquare (shape a) $
checkMatVecSolv (shape a) (dim x) $
unsafeDoSolve_ a x
doSSolve_ :: (MSolve a e m, WriteVector x m) =>
e -> a (k,k) e -> x k e -> m ()
doSSolve_ alpha a x =
checkSquare (shape a) $
checkMatVecSolv (shape a) (dim x) $
unsafeDoSSolve_ alpha a x
doSolveMat_ :: (MSolve a e m, WriteMatrix b x m) =>
a (k,k) e -> b (k,l) e -> m ()
doSolveMat_ a b =
checkSquare (shape a) $
checkMatMatSolv (shape a) (shape b) $
unsafeDoSolveMat_ a b
doSSolveMat_ :: (MSolve a e m, WriteMatrix b x m) =>
e -> a (k,k) e -> b (k,l) e -> m ()
doSSolveMat_ alpha a b =
checkSquare (shape a) $
checkMatMatSolv (shape a) (shape b) $
unsafeDoSSolveMat_ alpha a b