132 lines
5.3 KiB
Ada
132 lines
5.3 KiB
Ada
------------------------------------------------------------------------------
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-- --
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-- GNAT RUN-TIME COMPONENTS --
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-- --
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-- 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 --
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-- --
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-- S p e c --
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-- --
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-- Copyright (C) 2006-2009, Free Software Foundation, Inc. --
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-- --
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-- GNAT is free software; you can redistribute it and/or modify it under --
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-- terms of the GNU General Public License as published by the Free Soft- --
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-- ware Foundation; either version 3, or (at your option) any later ver- --
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-- sion. GNAT is distributed in the hope that it will be useful, but WITH- --
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-- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY --
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-- or FITNESS FOR A PARTICULAR PURPOSE. --
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-- --
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-- As a special exception under Section 7 of GPL version 3, you are granted --
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-- additional permissions described in the GCC Runtime Library Exception, --
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-- version 3.1, as published by the Free Software Foundation. --
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-- --
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-- You should have received a copy of the GNU General Public License and --
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-- a copy of the GCC Runtime Library Exception along with this program; --
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-- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see --
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-- <http://www.gnu.org/licenses/>. --
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-- --
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-- GNAT was originally developed by the GNAT team at New York University. --
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-- Extensive contributions were provided by Ada Core Technologies Inc. --
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-- --
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------------------------------------------------------------------------------
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-- Package comment required ???
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with Ada.Numerics.Generic_Complex_Types;
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generic
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type Real is digits <>;
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type Real_Vector is array (Integer range <>) of Real;
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with package Complex_Types is new Ada.Numerics.Generic_Complex_Types (Real);
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use Complex_Types;
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type Complex_Vector is array (Integer range <>) of Complex;
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type Complex_Matrix is array (Integer range <>, Integer range <>)
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of Complex;
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package System.Generic_Complex_LAPACK is
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pragma Pure;
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type Integer_Vector is array (Integer range <>) of Integer;
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Upper : aliased constant Character := 'U';
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Lower : aliased constant Character := 'L';
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-- LAPACK Computational Routines
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-- getrf computes LU factorization of a general m-by-n matrix
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procedure getrf
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(M : Natural;
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N : Natural;
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A : in out Complex_Matrix;
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Ld_A : Positive;
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I_Piv : out Integer_Vector;
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Info : access Integer);
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-- getri computes inverse of an LU-factored square matrix,
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-- with multiple right-hand sides
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procedure getri
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(N : Natural;
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A : in out Complex_Matrix;
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Ld_A : Positive;
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I_Piv : Integer_Vector;
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Work : in out Complex_Vector;
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L_Work : Integer;
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Info : access Integer);
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-- getrs solves a system of linear equations with an LU-factored
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-- square matrix, with multiple right-hand sides
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procedure getrs
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(Trans : access constant Character;
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N : Natural;
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N_Rhs : Natural;
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A : Complex_Matrix;
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Ld_A : Positive;
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I_Piv : Integer_Vector;
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B : in out Complex_Matrix;
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Ld_B : Positive;
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Info : access Integer);
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-- heevr computes selected eigenvalues and, optionally,
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-- eigenvectors of a Hermitian matrix using the Relatively
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-- Robust Representations
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procedure heevr
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(Job_Z : access constant Character;
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Rng : access constant Character;
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Uplo : access constant Character;
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N : Natural;
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A : in out Complex_Matrix;
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Ld_A : Positive;
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Vl, Vu : Real := 0.0;
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Il, Iu : Integer := 1;
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Abs_Tol : Real := 0.0;
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M : out Integer;
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W : out Real_Vector;
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Z : out Complex_Matrix;
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Ld_Z : Positive;
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I_Supp_Z : out Integer_Vector;
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Work : out Complex_Vector;
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L_Work : Integer;
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R_Work : out Real_Vector;
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LR_Work : Integer;
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I_Work : out Integer_Vector;
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LI_Work : Integer;
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Info : access Integer);
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-- steqr computes all eigenvalues and eigenvectors of a symmetric or
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-- Hermitian matrix reduced to tridiagonal form (QR algorithm)
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procedure steqr
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(Comp_Z : access constant Character;
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N : Natural;
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D : in out Real_Vector;
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E : in out Real_Vector;
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Z : in out Complex_Matrix;
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Ld_Z : Positive;
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Work : out Real_Vector;
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Info : access Integer);
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end System.Generic_Complex_LAPACK;
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