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(* ocamlgsl - OCaml interface to GSL *)
(* Copyright () 2002 - Olivier Andrieu *)
(* distributed under the terms of the GPL version 2 *)
type order = Gsl_blas.order =
| RowMajor
| ColMajor
type transpose = Gsl_blas.transpose =
| NoTrans
| Trans
| ConjTrans
type uplo = Gsl_blas.uplo =
| Upper
| Lower
type diag = Gsl_blas.diag =
| NonUnit
| Unit
type side = Gsl_blas.side =
| Left
| Right
open Gsl_matrix_flat
open Gsl_vector_flat
(* LEVEL 1 *)
external dot : vector -> vector -> float = "ml_gsl_blas_ddot"
external nrm2 : vector -> float = "ml_gsl_blas_dnrm2"
external asum : vector -> float = "ml_gsl_blas_dasum"
external iamax : vector -> int = "ml_gsl_blas_idamax"
external swap : vector -> vector -> unit = "ml_gsl_blas_dswap"
external copy : vector -> vector -> unit = "ml_gsl_blas_dcopy"
external axpy : float -> vector -> vector -> unit = "ml_gsl_blas_daxpy"
external rot : vector -> vector -> float -> float -> unit = "ml_gsl_blas_drot"
external scal : float -> vector -> unit = "ml_gsl_blas_dscal"
(* LEVEL 2 *)
external gemv : transpose -> alpha:float -> a:matrix ->
x:vector -> beta:float -> y:vector -> unit
= "ml_gsl_blas_dgemv_bc" "ml_gsl_blas_dgemv"
external trmv : uplo -> transpose -> diag ->
a:matrix -> x:vector -> unit
= "ml_gsl_blas_dtrmv"
external trsv : uplo -> transpose -> diag ->
a:matrix -> x:vector -> unit
= "ml_gsl_blas_dtrsv"
external symv : uplo -> alpha:float -> a:matrix ->
x:vector -> beta:float -> y:vector -> unit
= "ml_gsl_blas_dsymv_bc" "ml_gsl_blas_dsymv"
external dger : alpha:float -> x:vector ->
y:vector -> a:matrix -> unit
= "ml_gsl_blas_dger"
external syr : uplo -> alpha:float -> x:vector ->
a:matrix -> unit
= "ml_gsl_blas_dsyr"
external syr2 : uplo -> alpha:float -> x:vector ->
y:vector -> a:matrix -> unit
= "ml_gsl_blas_dsyr2"
(* LEVEL 3 *)
external gemm : ta:transpose -> tb:transpose ->
alpha:float -> a:matrix -> b:matrix ->
beta:float -> c:matrix -> unit
= "ml_gsl_blas_dgemm_bc" "ml_gsl_blas_dgemm"
external symm : side -> uplo ->
alpha:float -> a:matrix -> b:matrix ->
beta:float -> c:matrix -> unit
= "ml_gsl_blas_dsymm_bc" "ml_gsl_blas_dsymm"
external trmm : side -> uplo -> transpose -> diag ->
alpha:float -> a:matrix -> b:matrix -> unit
= "ml_gsl_blas_dtrmm_bc" "ml_gsl_blas_dtrmm"
external trsm : side -> uplo -> transpose -> diag ->
alpha:float -> a:matrix -> b:matrix -> unit
= "ml_gsl_blas_dtrsm_bc" "ml_gsl_blas_dtrsm"
external syrk : uplo -> transpose ->
alpha:float -> a:matrix -> beta:float -> c:matrix -> unit
= "ml_gsl_blas_dsyrk_bc" "ml_gsl_blas_dsyrk"
external syr2k : uplo -> transpose ->
alpha:float -> a:matrix -> b:matrix ->
beta:float -> c:matrix -> unit
= "ml_gsl_blas_dsyr2k_bc" "ml_gsl_blas_dsyr2k"
open Gsl_vector_complex_flat
open Gsl_matrix_complex_flat
open Gsl_complex
module Complex =
struct
(* LEVEL 1 *)
external dotu : vector -> vector -> complex = "ml_gsl_blas_zdotu"
external dotc : vector -> vector -> complex = "ml_gsl_blas_zdotc"
external nrm2 : vector -> float = "ml_gsl_blas_znrm2"
external asum : vector -> float = "ml_gsl_blas_zasum"
external iamax : vector -> int = "ml_gsl_blas_izamax"
external swap : vector -> vector -> unit = "ml_gsl_blas_zswap"
external copy : vector -> vector -> unit = "ml_gsl_blas_zcopy"
external axpy : complex -> vector -> vector -> unit = "ml_gsl_blas_zaxpy"
external scal : complex -> vector -> unit = "ml_gsl_blas_zscal"
external zdscal : float -> vector -> unit = "ml_gsl_blas_zdscal"
(* LEVEL 2 *)
external gemv : transpose -> alpha:complex -> a:matrix ->
x:vector -> beta:complex -> y:vector -> unit
= "ml_gsl_blas_zgemv_bc" "ml_gsl_blas_zgemv"
external trmv : uplo -> transpose -> diag ->
a:matrix -> x:vector -> unit
= "ml_gsl_blas_ztrmv"
external trsv : uplo -> transpose -> diag ->
a:matrix -> x:vector -> unit
= "ml_gsl_blas_ztrsv"
external hemv : uplo -> alpha:complex -> a:matrix ->
x:vector -> beta:complex -> y:vector -> unit
= "ml_gsl_blas_zhemv_bc" "ml_gsl_blas_zhemv"
external geru : alpha:complex -> x:vector ->
y:vector -> a:matrix -> unit
= "ml_gsl_blas_zgeru"
external gerc : alpha:complex -> x:vector ->
y:vector -> a:matrix -> unit
= "ml_gsl_blas_zgerc"
external her : uplo -> alpha:float ->
x:vector -> a:matrix -> unit
= "ml_gsl_blas_zher"
external her2 : uplo -> alpha:complex ->
x:vector -> y:vector -> a:matrix -> unit
= "ml_gsl_blas_zher2"
(* LEVEL 3 *)
external gemm : ta:transpose -> tb:transpose ->
alpha:complex -> a:matrix -> b:matrix ->
beta:complex -> c:matrix -> unit
= "ml_gsl_blas_zgemm_bc" "ml_gsl_blas_zgemm"
external symm : side -> uplo ->
alpha:complex -> a:matrix -> b:matrix ->
beta:complex -> c:matrix -> unit
= "ml_gsl_blas_zsymm_bc" "ml_gsl_blas_zsymm"
external syrk : uplo -> transpose ->
alpha:complex -> a:matrix -> beta:complex -> c:matrix -> unit
= "ml_gsl_blas_zsyrk_bc" "ml_gsl_blas_zsyrk"
external syr2k : uplo -> transpose ->
alpha:complex -> a:matrix -> b:matrix ->
beta:complex -> c:matrix -> unit
= "ml_gsl_blas_zsyr2k_bc" "ml_gsl_blas_zsyr2k"
external trmm : side -> uplo -> transpose -> diag ->
alpha:complex -> a:matrix -> b:matrix -> unit
= "ml_gsl_blas_ztrmm_bc" "ml_gsl_blas_ztrmm"
external trsm : side -> uplo -> transpose -> diag ->
alpha:complex -> a:matrix -> b:matrix -> unit
= "ml_gsl_blas_ztrsm_bc" "ml_gsl_blas_ztrsm"
external hemm : side -> uplo -> alpha:complex ->
a:matrix -> b:matrix -> beta:complex -> c:matrix -> unit
= "ml_gsl_blas_zhemm_bc" "ml_gsl_blas_zhemm"
external herk : uplo -> transpose -> alpha:float ->
a:matrix -> beta:float -> c:matrix -> unit
= "ml_gsl_blas_zherk_bc" "ml_gsl_blas_zherk"
external her2k : uplo -> transpose -> alpha:complex ->
a:matrix -> b:matrix -> beta:float -> c:matrix -> unit
= "ml_gsl_blas_zher2k_bc" "ml_gsl_blas_zher2k"
end
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