Foreign.CUDA.Solver.Dense.Eigenvalue

For more information see the cuSolver function reference:

http://docs.nvidia.com/cuda/cusolver/index.html#cuds-eigensolver-reference

Documentation

data Handle

An opaque handle to the cuSolverDN context, which is passed to all library function calls.

http://docs.nvidia.com/cuda/cusolver/index.html#cuSolverDNhandle

data Fill :: *

Indicates which part, upper or lower, of a dense matrix was filled and consequently should be used by the function.

http://docs.nvidia.com/cuda/cublas/index.html#cublasfillmode_t

Constructors

Lower

Upper

Instances

Enum Fill

Methods

succ :: Fill -> Fill

pred :: Fill -> Fill

toEnum :: Int -> Fill

fromEnum :: Fill -> Int

enumFrom :: Fill -> [Fill]

enumFromThen :: Fill -> Fill -> [Fill]

enumFromTo :: Fill -> Fill -> [Fill]

enumFromThenTo :: Fill -> Fill -> Fill -> [Fill]

Eq Fill

Methods

(==) :: Fill -> Fill -> Bool

(/=) :: Fill -> Fill -> Bool

Show Fill

Methods

showsPrec :: Int -> Fill -> ShowS

show :: Fill -> String

showList :: [Fill] -> ShowS

data Side :: *

Indicates whether the dense matrix is on the lift or right side in the matrix equation solved by a particular function.

http://docs.nvidia.com/cuda/cublas/index.html#cublassidemode_t

Constructors

Left

Right

Instances

Enum Side

Methods

succ :: Side -> Side

pred :: Side -> Side

toEnum :: Int -> Side

fromEnum :: Side -> Int

enumFrom :: Side -> [Side]

enumFromThen :: Side -> Side -> [Side]

enumFromTo :: Side -> Side -> [Side]

enumFromThenTo :: Side -> Side -> Side -> [Side]

Eq Side

Methods

(==) :: Side -> Side -> Bool

(/=) :: Side -> Side -> Bool

Show Side

Methods

showsPrec :: Int -> Side -> ShowS

show :: Side -> String

showList :: [Side] -> ShowS

data Operation :: *

Indicates which operation needs to be performed with a dense matrix.

• N: no transpose selected
• T: transpose operation
• C: conjugate transpose

http://docs.nvidia.com/cuda/cublas/index.html#cublasoperation_t

Constructors

N

T

C

Instances

Enum Operation

Methods

succ :: Operation -> Operation

pred :: Operation -> Operation

toEnum :: Int -> Operation

fromEnum :: Operation -> Int

enumFrom :: Operation -> [Operation]

enumFromThen :: Operation -> Operation -> [Operation]

enumFromTo :: Operation -> Operation -> [Operation]

enumFromThenTo :: Operation -> Operation -> Operation -> [Operation]

Eq Operation

Methods

(==) :: Operation -> Operation -> Bool

(/=) :: Operation -> Operation -> Bool

Show Operation

Methods

showsPrec :: Int -> Operation -> ShowS

show :: Operation -> String

showList :: [Operation] -> ShowS

data EigMode

This type indicates whether eigenvectors are computed.

http://docs.nvidia.com/cuda/cusolver/index.html#cusolverEigMode

Constructors

NoVector

Vector

Instances

Enum EigMode

Methods

succ :: EigMode -> EigMode

pred :: EigMode -> EigMode

toEnum :: Int -> EigMode

fromEnum :: EigMode -> Int

enumFrom :: EigMode -> [EigMode]

enumFromThen :: EigMode -> EigMode -> [EigMode]

enumFromTo :: EigMode -> EigMode -> [EigMode]

enumFromThenTo :: EigMode -> EigMode -> EigMode -> [EigMode]

Eq EigMode

Methods

(==) :: EigMode -> EigMode -> Bool

(/=) :: EigMode -> EigMode -> Bool

Show EigMode

Methods

showsPrec :: Int -> EigMode -> ShowS

show :: EigMode -> String

showList :: [EigMode] -> ShowS

data EigType

This type indicates which type of eigenvalue solver is used. It corresponds to the parameters used by legacy LAPACK implementations:

• EigType1: \( A*x = lambda*B*x \)
• EigType2: \( A*B*x = lambda*x \)
• EigType3: \( B*A*x = lambda*x \)

http://docs.nvidia.com/cuda/cusolver/index.html#cusolverEigType

Constructors

EigType1

EigType2

EigType3

Instances

Enum EigType

Methods

succ :: EigType -> EigType

pred :: EigType -> EigType

toEnum :: Int -> EigType

fromEnum :: EigType -> Int

enumFrom :: EigType -> [EigType]

enumFromThen :: EigType -> EigType -> [EigType]

enumFromTo :: EigType -> EigType -> [EigType]

enumFromThenTo :: EigType -> EigType -> EigType -> [EigType]

Eq EigType

Methods

(==) :: EigType -> EigType -> Bool

(/=) :: EigType -> EigType -> Bool

Show EigType

Methods

showsPrec :: Int -> EigType -> ShowS

show :: EigType -> String

showList :: [EigType] -> ShowS

sgebrd_bufferSize :: Handle -> Int -> Int -> IO Int

dgebrd_bufferSize :: Handle -> Int -> Int -> IO Int

cgebrd_bufferSize :: Handle -> Int -> Int -> IO Int

zgebrd_bufferSize :: Handle -> Int -> Int -> IO Int

sgebrd :: Handle -> Int -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> DevicePtr Float -> DevicePtr Float -> DevicePtr Float -> DevicePtr Float -> Int -> DevicePtr Int32 -> IO ()

dgebrd :: Handle -> Int -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> DevicePtr Double -> DevicePtr Double -> DevicePtr Double -> DevicePtr Double -> Int -> DevicePtr Int32 -> IO ()

cgebrd :: Handle -> Int -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> DevicePtr (Complex Float) -> DevicePtr (Complex Float) -> DevicePtr (Complex Float) -> DevicePtr (Complex Float) -> Int -> DevicePtr Int32 -> IO ()

zgebrd :: Handle -> Int -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> DevicePtr (Complex Double) -> DevicePtr (Complex Double) -> DevicePtr (Complex Double) -> DevicePtr (Complex Double) -> Int -> DevicePtr Int32 -> IO ()

sgesvd_bufferSize :: Handle -> Int -> Int -> IO Int

dgesvd_bufferSize :: Handle -> Int -> Int -> IO Int

cgesvd_bufferSize :: Handle -> Int -> Int -> IO Int

zgesvd_bufferSize :: Handle -> Int -> Int -> IO Int

sgesvd :: Handle -> Char -> Char -> Int -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> DevicePtr Float -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> DevicePtr Int32 -> IO ()

dgesvd :: Handle -> Char -> Char -> Int -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> DevicePtr Double -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> DevicePtr Int32 -> IO ()

cgesvd :: Handle -> Char -> Char -> Int -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> DevicePtr Int32 -> IO ()

zgesvd :: Handle -> Char -> Char -> Int -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> DevicePtr Int32 -> IO ()

sorgbr_bufferSize :: Handle -> Side -> Int -> Int -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> IO Int

dorgbr_bufferSize :: Handle -> Side -> Int -> Int -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> IO Int

cungbr_bufferSize :: Handle -> Side -> Int -> Int -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> IO Int

zungbr_bufferSize :: Handle -> Side -> Int -> Int -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> IO Int

sorgbr :: Handle -> Side -> Int -> Int -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> DevicePtr Float -> Int -> DevicePtr Int32 -> IO ()

dorgbr :: Handle -> Side -> Int -> Int -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> DevicePtr Double -> Int -> DevicePtr Int32 -> IO ()

cungbr :: Handle -> Side -> Int -> Int -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> DevicePtr (Complex Float) -> Int -> DevicePtr Int32 -> IO ()

zungbr :: Handle -> Side -> Int -> Int -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> DevicePtr (Complex Double) -> Int -> DevicePtr Int32 -> IO ()

ssytrd_bufferSize :: Handle -> Fill -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> DevicePtr Float -> DevicePtr Float -> IO Int

dsytrd_bufferSize :: Handle -> Fill -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> DevicePtr Double -> DevicePtr Double -> IO Int

chetrd_bufferSize :: Handle -> Fill -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> DevicePtr (Complex Float) -> DevicePtr (Complex Float) -> IO Int

zhetrd_bufferSize :: Handle -> Fill -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> DevicePtr (Complex Double) -> DevicePtr (Complex Double) -> IO Int

ssytrd :: Handle -> Fill -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> DevicePtr Float -> DevicePtr Float -> DevicePtr Float -> Int -> DevicePtr Int32 -> IO ()

dsytrd :: Handle -> Fill -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> DevicePtr Double -> DevicePtr Double -> DevicePtr Double -> Int -> DevicePtr Int32 -> IO ()

chetrd :: Handle -> Fill -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> DevicePtr (Complex Float) -> DevicePtr (Complex Float) -> DevicePtr (Complex Float) -> Int -> DevicePtr Int32 -> IO ()

zhetrd :: Handle -> Fill -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> DevicePtr (Complex Double) -> DevicePtr (Complex Double) -> DevicePtr (Complex Double) -> Int -> DevicePtr Int32 -> IO ()

sormtr_bufferSize :: Handle -> Side -> Fill -> Operation -> Int -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> DevicePtr Float -> Int -> IO Int

dormtr_bufferSize :: Handle -> Side -> Fill -> Operation -> Int -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> DevicePtr Double -> Int -> IO Int

cunmtr_bufferSize :: Handle -> Side -> Fill -> Operation -> Int -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> DevicePtr (Complex Float) -> Int -> IO Int

zunmtr_bufferSize :: Handle -> Side -> Fill -> Operation -> Int -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> DevicePtr (Complex Double) -> Int -> IO Int

sormtr :: Handle -> Side -> Fill -> Operation -> Int -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> DevicePtr Float -> Int -> DevicePtr Float -> Int -> DevicePtr Int32 -> IO ()

dormtr :: Handle -> Side -> Fill -> Operation -> Int -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> DevicePtr Double -> Int -> DevicePtr Double -> Int -> DevicePtr Int32 -> IO ()

cunmtr :: Handle -> Side -> Fill -> Operation -> Int -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr Int32 -> IO ()

zunmtr :: Handle -> Side -> Fill -> Operation -> Int -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr Int32 -> IO ()

sorgtr_bufferSize :: Handle -> Fill -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> IO Int

dorgtr_bufferSize :: Handle -> Fill -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> IO Int

cungtr_bufferSize :: Handle -> Fill -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> IO Int

zungtr_bufferSize :: Handle -> Fill -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> IO Int

sorgtr :: Handle -> Fill -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> DevicePtr Float -> Int -> DevicePtr Int32 -> IO ()

dorgtr :: Handle -> Fill -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> DevicePtr Double -> Int -> DevicePtr Int32 -> IO ()

cungtr :: Handle -> Fill -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> DevicePtr (Complex Float) -> Int -> DevicePtr Int32 -> IO ()

zungtr :: Handle -> Fill -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> DevicePtr (Complex Double) -> Int -> DevicePtr Int32 -> IO ()

ssyevd_bufferSize :: Handle -> EigMode -> Fill -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> IO Int

dsyevd_bufferSize :: Handle -> EigMode -> Fill -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> IO Int

cheevd_bufferSize :: Handle -> EigMode -> Fill -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> IO Int

zheevd_bufferSize :: Handle -> EigMode -> Fill -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> IO Int

ssyevd :: Handle -> EigMode -> Fill -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> DevicePtr Float -> Int -> DevicePtr Int32 -> IO ()

dsyevd :: Handle -> EigMode -> Fill -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> DevicePtr Double -> Int -> DevicePtr Int32 -> IO ()

cheevd :: Handle -> EigMode -> Fill -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> DevicePtr (Complex Float) -> Int -> DevicePtr Int32 -> IO ()

zheevd :: Handle -> EigMode -> Fill -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> DevicePtr (Complex Double) -> Int -> DevicePtr Int32 -> IO ()

ssygvd_bufferSize :: Handle -> EigType -> EigMode -> Fill -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> IO Int

dsygvd_bufferSize :: Handle -> EigType -> EigMode -> Fill -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> IO Int

chegvd_bufferSize :: Handle -> EigType -> EigMode -> Fill -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> IO Int

zhegvd_bufferSize :: Handle -> EigType -> EigMode -> Fill -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> IO Int

ssygvd :: Handle -> EigType -> EigMode -> Fill -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> Int -> DevicePtr Float -> DevicePtr Float -> Int -> DevicePtr Int32 -> IO ()

dsygvd :: Handle -> EigType -> EigMode -> Fill -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> Int -> DevicePtr Double -> DevicePtr Double -> Int -> DevicePtr Int32 -> IO ()

chegvd :: Handle -> EigType -> EigMode -> Fill -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> Int -> DevicePtr (Complex Float) -> DevicePtr (Complex Float) -> Int -> DevicePtr Int32 -> IO ()

zhegvd :: Handle -> EigType -> EigMode -> Fill -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> Int -> DevicePtr (Complex Double) -> DevicePtr (Complex Double) -> Int -> DevicePtr Int32 -> IO ()