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------------------------------------------------------------------------------
-- --
-- GNAT RUN-TIME COMPONENTS --
-- --
-- S Y S T E M . G E N E R I C _ C O M P L E X _ L A P A C K --
-- --
-- S p e c --
-- --
-- Copyright (C) 2006-2009, 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 3, 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. --
-- --
-- As a special exception under Section 7 of GPL version 3, you are granted --
-- additional permissions described in the GCC Runtime Library Exception, --
-- version 3.1, as published by the Free Software Foundation. --
-- --
-- You should have received a copy of the GNU General Public License and --
-- a copy of the GCC Runtime Library Exception along with this program; --
-- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see --
-- <http://www.gnu.org/licenses/>. --
-- --
-- GNAT was originally developed by the GNAT team at New York University. --
-- Extensive contributions were provided by Ada Core Technologies Inc. --
-- --
------------------------------------------------------------------------------
-- Package comment required ???
with Ada.Numerics.Generic_Complex_Types;
generic
type Real is digits <>;
type Real_Vector is array (Integer range <>) of Real;
with package Complex_Types is new Ada.Numerics.Generic_Complex_Types (Real);
use Complex_Types;
type Complex_Vector is array (Integer range <>) of Complex;
type Complex_Matrix is array (Integer range <>, Integer range <>)
of Complex;
package System.Generic_Complex_LAPACK is
pragma Pure;
type Integer_Vector is array (Integer range <>) of Integer;
Upper : aliased constant Character := 'U';
Lower : aliased constant Character := 'L';
-- LAPACK Computational Routines
-- getrf computes LU factorization of a general m-by-n matrix
procedure getrf
(M : Natural;
N : Natural;
A : in out Complex_Matrix;
Ld_A : Positive;
I_Piv : out Integer_Vector;
Info : access Integer);
-- getri computes inverse of an LU-factored square matrix,
-- with multiple right-hand sides
procedure getri
(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);
-- getrs solves a system of linear equations with an LU-factored
-- square matrix, with multiple right-hand sides
procedure getrs
(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);
-- heevr computes selected eigenvalues and, optionally,
-- eigenvectors of a Hermitian matrix using the Relatively
-- Robust Representations
procedure heevr
(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);
-- steqr computes all eigenvalues and eigenvectors of a symmetric or
-- Hermitian matrix reduced to tridiagonal form (QR algorithm)
procedure steqr
(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);
end System.Generic_Complex_LAPACK;
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