------------------------------------------------------------------------------
-- --
-- GNAT RUN-TIME COMPONENTS --
-- --
-- INTERFACES.FORTRAN.LAPACK --
-- --
-- S p e c --
-- --
-- Copyright (C) 2006, Free Software Foundation, Inc. --
-- --
-- GNAT is free software; you can redistribute it and/or modify it under --
-- terms of the GNU General Public License as published by the Free Soft- --
-- ware Foundation; either version 2, or (at your option) any later ver- --
-- sion. GNAT is distributed in the hope that it will be useful, but WITH- --
-- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY --
-- or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License --
-- for more details. You should have received a copy of the GNU General --
-- Public License distributed with GNAT; see file COPYING. If not, write --
-- to the Free Software Foundation, 51 Franklin Street, Fifth Floor, --
-- Boston, MA 02110-1301, USA. --
-- --
-- As a special exception, if other files instantiate generics from this --
-- unit, or you link this unit with other files to produce an executable, --
-- this unit does not by itself cause the resulting executable to be --
-- covered by the GNU General Public License. This exception does not --
-- however invalidate any other reasons why the executable file might be --
-- covered by the GNU Public License. --
-- --
-- GNAT was originally developed by the GNAT team at New York University. --
-- Extensive contributions were provided by Ada Core Technologies Inc. --
-- --
------------------------------------------------------------------------------
-- Package comment required if non-RM package ???
with Interfaces.Fortran.BLAS;
package Interfaces.Fortran.LAPACK is
pragma Pure;
type Integer_Vector is array (Integer range <>) of Integer;
Upper : aliased constant Character := 'U';
Lower : aliased constant Character := 'L';
subtype Real_Vector is BLAS.Real_Vector;
subtype Real_Matrix is BLAS.Real_Matrix;
subtype Double_Precision_Vector is BLAS.Double_Precision_Vector;
subtype Double_Precision_Matrix is BLAS.Double_Precision_Matrix;
subtype Complex_Vector is BLAS.Complex_Vector;
subtype Complex_Matrix is BLAS.Complex_Matrix;
subtype Double_Complex_Vector is BLAS.Double_Complex_Vector;
subtype Double_Complex_Matrix is BLAS.Double_Complex_Matrix;
-- LAPACK Computational Routines
-- gerfs Refines the solution of a system of linear equations with
-- a general matrix and estimates its error
-- getrf Computes LU factorization of a general m-by-n matrix
-- getri Computes inverse of an LU-factored general matrix
-- square matrix, with multiple right-hand sides
-- getrs Solves a system of linear equations with an LU-factored
-- square matrix, with multiple right-hand sides
-- hetrd Reduces a complex Hermitian matrix to tridiagonal form
-- heevr Computes selected eigenvalues and, optionally, eigenvectors of
-- a Hermitian matrix using the Relatively Robust Representations
-- orgtr Generates the real orthogonal matrix Q determined by sytrd
-- steqr Computes all eigenvalues and eigenvectors of a symmetric or
-- Hermitian matrix reduced to tridiagonal form (QR algorithm)
-- sterf Computes all eigenvalues of a real symmetric
-- tridiagonal matrix using QR algorithm
-- sytrd Reduces a real symmetric matrix to tridiagonal form
procedure sgetrf
(M : Natural;
N : Natural;
A : in out Real_Matrix;
Ld_A : Positive;
I_Piv : out Integer_Vector;
Info : access Integer);
procedure dgetrf
(M : Natural;
N : Natural;
A : in out Double_Precision_Matrix;
Ld_A : Positive;
I_Piv : out Integer_Vector;
Info : access Integer);
procedure cgetrf
(M : Natural;
N : Natural;
A : in out Complex_Matrix;
Ld_A : Positive;
I_Piv : out Integer_Vector;
Info : access Integer);
procedure zgetrf
(M : Natural;
N : Natural;
A : in out Double_Complex_Matrix;
Ld_A : Positive;
I_Piv : out Integer_Vector;
Info : access Integer);
procedure sgetri
(N : Natural;
A : in out Real_Matrix;
Ld_A : Positive;
I_Piv : Integer_Vector;
Work : in out Real_Vector;
L_Work : Integer;
Info : access Integer);
procedure dgetri
(N : Natural;
A : in out Double_Precision_Matrix;
Ld_A : Positive;
I_Piv : Integer_Vector;
Work : in out Double_Precision_Vector;
L_Work : Integer;
Info : access Integer);
procedure cgetri
(N : Natural;
A : in out Complex_Matrix;
Ld_A : Positive;
I_Piv : Integer_Vector;
Work : in out Complex_Vector;
L_Work : Integer;
Info : access Integer);
procedure zgetri
(N : Natural;
A : in out Double_Complex_Matrix;
Ld_A : Positive;
I_Piv : Integer_Vector;
Work : in out Double_Complex_Vector;
L_Work : Integer;
Info : access Integer);
procedure sgetrs
(Trans : access constant Character;
N : Natural;
N_Rhs : Natural;
A : Real_Matrix;
Ld_A : Positive;
I_Piv : Integer_Vector;
B : in out Real_Matrix;
Ld_B : Positive;
Info : access Integer);
procedure dgetrs
(Trans : access constant Character;
N : Natural;
N_Rhs : Natural;
A : Double_Precision_Matrix;
Ld_A : Positive;
I_Piv : Integer_Vector;
B : in out Double_Precision_Matrix;
Ld_B : Positive;
Info : access Integer);
procedure cgetrs
(Trans : access constant Character;
N : Natural;
N_Rhs : Natural;
A : Complex_Matrix;
Ld_A : Positive;
I_Piv : Integer_Vector;
B : in out Complex_Matrix;
Ld_B : Positive;
Info : access Integer);
procedure zgetrs
(Trans : access constant Character;
N : Natural;
N_Rhs : Natural;
A : Double_Complex_Matrix;
Ld_A : Positive;
I_Piv : Integer_Vector;
B : in out Double_Complex_Matrix;
Ld_B : Positive;
Info : access Integer);
procedure cheevr
(Job_Z : access constant Character;
Rng : access constant Character;
Uplo : access constant Character;
N : Natural;
A : in out Complex_Matrix;
Ld_A : Positive;
Vl, Vu : Real := 0.0;
Il, Iu : Integer := 1;
Abs_Tol : Real := 0.0;
M : out Integer;
W : out Real_Vector;
Z : out Complex_Matrix;
Ld_Z : Positive;
I_Supp_Z : out Integer_Vector;
Work : out Complex_Vector;
L_Work : Integer;
R_Work : out Real_Vector;
LR_Work : Integer;
I_Work : out Integer_Vector;
LI_Work : Integer;
Info : access Integer);
procedure zheevr
(Job_Z : access constant Character;
Rng : access constant Character;
Uplo : access constant Character;
N : Natural;
A : in out Double_Complex_Matrix;
Ld_A : Positive;
Vl, Vu : Double_Precision := 0.0;
Il, Iu : Integer := 1;
Abs_Tol : Double_Precision := 0.0;
M : out Integer;
W : out Double_Precision_Vector;
Z : out Double_Complex_Matrix;
Ld_Z : Positive;
I_Supp_Z : out Integer_Vector;
Work : out Double_Complex_Vector;
L_Work : Integer;
R_Work : out Double_Precision_Vector;
LR_Work : Integer;
I_Work : out Integer_Vector;
LI_Work : Integer;
Info : access Integer);
procedure chetrd
(Uplo : access constant Character;
N : Natural;
A : in out Complex_Matrix;
Ld_A : Positive;
D : out Real_Vector;
E : out Real_Vector;
Tau : out Complex_Vector;
Work : out Complex_Vector;
L_Work : Integer;
Info : access Integer);
procedure zhetrd
(Uplo : access constant Character;
N : Natural;
A : in out Double_Complex_Matrix;
Ld_A : Positive;
D : out Double_Precision_Vector;
E : out Double_Precision_Vector;
Tau : out Double_Complex_Vector;
Work : out Double_Complex_Vector;
L_Work : Integer;
Info : access Integer);
procedure ssytrd
(Uplo : access constant Character;
N : Natural;
A : in out Real_Matrix;
Ld_A : Positive;
D : out Real_Vector;
E : out Real_Vector;
Tau : out Real_Vector;
Work : out Real_Vector;
L_Work : Integer;
Info : access Integer);
procedure dsytrd
(Uplo : access constant Character;
N : Natural;
A : in out Double_Precision_Matrix;
Ld_A : Positive;
D : out Double_Precision_Vector;
E : out Double_Precision_Vector;
Tau : out Double_Precision_Vector;
Work : out Double_Precision_Vector;
L_Work : Integer;
Info : access Integer);
procedure ssterf
(N : Natural;
D : in out Real_Vector;
E : in out Real_Vector;
Info : access Integer);
procedure dsterf
(N : Natural;
D : in out Double_Precision_Vector;
E : in out Double_Precision_Vector;
Info : access Integer);
procedure sorgtr
(Uplo : access constant Character;
N : Natural;
A : in out Real_Matrix;
Ld_A : Positive;
Tau : Real_Vector;
Work : out Real_Vector;
L_Work : Integer;
Info : access Integer);
procedure dorgtr
(Uplo : access constant Character;
N : Natural;
A : in out Double_Precision_Matrix;
Ld_A : Positive;
Tau : Double_Precision_Vector;
Work : out Double_Precision_Vector;
L_Work : Integer;
Info : access Integer);
procedure sstebz
(Rng : access constant Character;
Order : access constant Character;
N : Natural;
Vl, Vu : Real := 0.0;
Il, Iu : Integer := 1;
Abs_Tol : Real := 0.0;
D : Real_Vector;
E : Real_Vector;
M : out Natural;
N_Split : out Natural;
W : out Real_Vector;
I_Block : out Integer_Vector;
I_Split : out Integer_Vector;
Work : out Real_Vector;
I_Work : out Integer_Vector;
Info : access Integer);
procedure dstebz
(Rng : access constant Character;
Order : access constant Character;
N : Natural;
Vl, Vu : Double_Precision := 0.0;
Il, Iu : Integer := 1;
Abs_Tol : Double_Precision := 0.0;
D : Double_Precision_Vector;
E : Double_Precision_Vector;
M : out Natural;
N_Split : out Natural;
W : out Double_Precision_Vector;
I_Block : out Integer_Vector;
I_Split : out Integer_Vector;
Work : out Double_Precision_Vector;
I_Work : out Integer_Vector;
Info : access Integer);
procedure ssteqr
(Comp_Z : access constant Character;
N : Natural;
D : in out Real_Vector;
E : in out Real_Vector;
Z : in out Real_Matrix;
Ld_Z : Positive;
Work : out Real_Vector;
Info : access Integer);
procedure dsteqr
(Comp_Z : access constant Character;
N : Natural;
D : in out Double_Precision_Vector;
E : in out Double_Precision_Vector;
Z : in out Double_Precision_Matrix;
Ld_Z : Positive;
Work : out Double_Precision_Vector;
Info : access Integer);
procedure csteqr
(Comp_Z : access constant Character;
N : Natural;
D : in out Real_Vector;
E : in out Real_Vector;
Z : in out Complex_Matrix;
Ld_Z : Positive;
Work : out Real_Vector;
Info : access Integer);
procedure zsteqr
(Comp_Z : access constant Character;
N : Natural;
D : in out Double_Precision_Vector;
E : in out Double_Precision_Vector;
Z : in out Double_Complex_Matrix;
Ld_Z : Positive;
Work : out Double_Precision_Vector;
Info : access Integer);
private
pragma Import (Fortran, csteqr, "csteqr_");
pragma Import (Fortran, cgetrf, "cgetrf_");
pragma Import (Fortran, cgetri, "cgetri_");
pragma Import (Fortran, cgetrs, "cgetrs_");
pragma Import (Fortran, cheevr, "cheevr_");
pragma Import (Fortran, chetrd, "chetrd_");
pragma Import (Fortran, dgetrf, "dgetrf_");
pragma Import (Fortran, dgetri, "dgetri_");
pragma Import (Fortran, dgetrs, "dgetrs_");
pragma Import (Fortran, dsytrd, "dsytrd_");
pragma Import (Fortran, dstebz, "dstebz_");
pragma Import (Fortran, dsterf, "dsterf_");
pragma Import (Fortran, dorgtr, "dorgtr_");
pragma Import (Fortran, dsteqr, "dsteqr_");
pragma Import (Fortran, sgetrf, "sgetrf_");
pragma Import (Fortran, sgetri, "sgetri_");
pragma Import (Fortran, sgetrs, "sgetrs_");
pragma Import (Fortran, sorgtr, "sorgtr_");
pragma Import (Fortran, sstebz, "sstebz_");
pragma Import (Fortran, ssterf, "ssterf_");
pragma Import (Fortran, ssteqr, "ssteqr_");
pragma Import (Fortran, ssytrd, "ssytrd_");
pragma Import (Fortran, zgetrf, "zgetrf_");
pragma Import (Fortran, zgetri, "zgetri_");
pragma Import (Fortran, zgetrs, "zgetrs_");
pragma Import (Fortran, zheevr, "zheevr_");
pragma Import (Fortran, zhetrd, "zhetrd_");
pragma Import (Fortran, zsteqr, "zsteqr_");
end Interfaces.Fortran.LAPACK;