415 lines
14 KiB
Ada
415 lines
14 KiB
Ada
------------------------------------------------------------------------------
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-- --
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-- GNAT RUN-TIME COMPONENTS --
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-- --
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-- I N T E R F A C E S . F O R T R A N . 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 if non-RM package ???
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with Interfaces.Fortran.BLAS;
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package Interfaces.Fortran.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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subtype Real_Vector is BLAS.Real_Vector;
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subtype Real_Matrix is BLAS.Real_Matrix;
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subtype Double_Precision_Vector is BLAS.Double_Precision_Vector;
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subtype Double_Precision_Matrix is BLAS.Double_Precision_Matrix;
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subtype Complex_Vector is BLAS.Complex_Vector;
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subtype Complex_Matrix is BLAS.Complex_Matrix;
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subtype Double_Complex_Vector is BLAS.Double_Complex_Vector;
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subtype Double_Complex_Matrix is BLAS.Double_Complex_Matrix;
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-- LAPACK Computational Routines
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-- gerfs Refines the solution of a system of linear equations with
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-- a general matrix and estimates its error
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-- getrf Computes LU factorization of a general m-by-n matrix
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-- getri Computes inverse of an LU-factored general matrix
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-- square matrix, with multiple right-hand sides
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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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-- hetrd Reduces a complex Hermitian matrix to tridiagonal form
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-- heevr Computes selected eigenvalues and, optionally, eigenvectors of
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-- a Hermitian matrix using the Relatively Robust Representations
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-- orgtr Generates the real orthogonal matrix Q determined by sytrd
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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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-- sterf Computes all eigenvalues of a real symmetric
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-- tridiagonal matrix using QR algorithm
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-- sytrd Reduces a real symmetric matrix to tridiagonal form
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procedure sgetrf
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(M : Natural;
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N : Natural;
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A : in out Real_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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procedure dgetrf
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(M : Natural;
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N : Natural;
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A : in out Double_Precision_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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procedure cgetrf
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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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procedure zgetrf
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(M : Natural;
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N : Natural;
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A : in out Double_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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procedure sgetri
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(N : Natural;
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A : in out Real_Matrix;
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Ld_A : Positive;
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I_Piv : Integer_Vector;
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Work : in out Real_Vector;
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L_Work : Integer;
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Info : access Integer);
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procedure dgetri
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(N : Natural;
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A : in out Double_Precision_Matrix;
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Ld_A : Positive;
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I_Piv : Integer_Vector;
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Work : in out Double_Precision_Vector;
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L_Work : Integer;
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Info : access Integer);
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procedure cgetri
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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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procedure zgetri
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(N : Natural;
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A : in out Double_Complex_Matrix;
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Ld_A : Positive;
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I_Piv : Integer_Vector;
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Work : in out Double_Complex_Vector;
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L_Work : Integer;
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Info : access Integer);
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procedure sgetrs
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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 : Real_Matrix;
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Ld_A : Positive;
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I_Piv : Integer_Vector;
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B : in out Real_Matrix;
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Ld_B : Positive;
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Info : access Integer);
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procedure dgetrs
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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 : Double_Precision_Matrix;
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Ld_A : Positive;
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I_Piv : Integer_Vector;
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B : in out Double_Precision_Matrix;
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Ld_B : Positive;
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Info : access Integer);
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procedure cgetrs
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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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procedure zgetrs
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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 : Double_Complex_Matrix;
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Ld_A : Positive;
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I_Piv : Integer_Vector;
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B : in out Double_Complex_Matrix;
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Ld_B : Positive;
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Info : access Integer);
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procedure cheevr
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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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procedure zheevr
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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 Double_Complex_Matrix;
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Ld_A : Positive;
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Vl, Vu : Double_Precision := 0.0;
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Il, Iu : Integer := 1;
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Abs_Tol : Double_Precision := 0.0;
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M : out Integer;
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W : out Double_Precision_Vector;
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Z : out Double_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 Double_Complex_Vector;
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L_Work : Integer;
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R_Work : out Double_Precision_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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procedure chetrd
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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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D : out Real_Vector;
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E : out Real_Vector;
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Tau : out Complex_Vector;
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Work : out Complex_Vector;
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L_Work : Integer;
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Info : access Integer);
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procedure zhetrd
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(Uplo : access constant Character;
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N : Natural;
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A : in out Double_Complex_Matrix;
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Ld_A : Positive;
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D : out Double_Precision_Vector;
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E : out Double_Precision_Vector;
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Tau : out Double_Complex_Vector;
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Work : out Double_Complex_Vector;
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L_Work : Integer;
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Info : access Integer);
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procedure ssytrd
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(Uplo : access constant Character;
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N : Natural;
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A : in out Real_Matrix;
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Ld_A : Positive;
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D : out Real_Vector;
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E : out Real_Vector;
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Tau : out Real_Vector;
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Work : out Real_Vector;
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L_Work : Integer;
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Info : access Integer);
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procedure dsytrd
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(Uplo : access constant Character;
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N : Natural;
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A : in out Double_Precision_Matrix;
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Ld_A : Positive;
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D : out Double_Precision_Vector;
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E : out Double_Precision_Vector;
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Tau : out Double_Precision_Vector;
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Work : out Double_Precision_Vector;
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L_Work : Integer;
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Info : access Integer);
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procedure ssterf
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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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Info : access Integer);
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procedure dsterf
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(N : Natural;
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D : in out Double_Precision_Vector;
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E : in out Double_Precision_Vector;
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Info : access Integer);
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procedure sorgtr
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(Uplo : access constant Character;
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N : Natural;
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A : in out Real_Matrix;
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Ld_A : Positive;
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Tau : Real_Vector;
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Work : out Real_Vector;
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L_Work : Integer;
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Info : access Integer);
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procedure dorgtr
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(Uplo : access constant Character;
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N : Natural;
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A : in out Double_Precision_Matrix;
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Ld_A : Positive;
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Tau : Double_Precision_Vector;
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Work : out Double_Precision_Vector;
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L_Work : Integer;
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Info : access Integer);
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procedure sstebz
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(Rng : access constant Character;
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Order : access constant Character;
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N : Natural;
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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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D : Real_Vector;
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E : Real_Vector;
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M : out Natural;
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N_Split : out Natural;
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W : out Real_Vector;
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I_Block : out Integer_Vector;
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I_Split : out Integer_Vector;
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Work : out Real_Vector;
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I_Work : out Integer_Vector;
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Info : access Integer);
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procedure dstebz
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(Rng : access constant Character;
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Order : access constant Character;
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N : Natural;
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Vl, Vu : Double_Precision := 0.0;
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Il, Iu : Integer := 1;
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Abs_Tol : Double_Precision := 0.0;
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D : Double_Precision_Vector;
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E : Double_Precision_Vector;
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M : out Natural;
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N_Split : out Natural;
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W : out Double_Precision_Vector;
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I_Block : out Integer_Vector;
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I_Split : out Integer_Vector;
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Work : out Double_Precision_Vector;
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I_Work : out Integer_Vector;
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Info : access Integer);
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procedure ssteqr
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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 Real_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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procedure dsteqr
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(Comp_Z : access constant Character;
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N : Natural;
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D : in out Double_Precision_Vector;
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E : in out Double_Precision_Vector;
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Z : in out Double_Precision_Matrix;
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Ld_Z : Positive;
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Work : out Double_Precision_Vector;
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Info : access Integer);
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procedure csteqr
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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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procedure zsteqr
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(Comp_Z : access constant Character;
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N : Natural;
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D : in out Double_Precision_Vector;
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E : in out Double_Precision_Vector;
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Z : in out Double_Complex_Matrix;
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Ld_Z : Positive;
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Work : out Double_Precision_Vector;
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Info : access Integer);
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private
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pragma Import (Fortran, csteqr, "csteqr_");
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pragma Import (Fortran, cgetrf, "cgetrf_");
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pragma Import (Fortran, cgetri, "cgetri_");
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pragma Import (Fortran, cgetrs, "cgetrs_");
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pragma Import (Fortran, cheevr, "cheevr_");
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pragma Import (Fortran, chetrd, "chetrd_");
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pragma Import (Fortran, dgetrf, "dgetrf_");
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pragma Import (Fortran, dgetri, "dgetri_");
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pragma Import (Fortran, dgetrs, "dgetrs_");
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pragma Import (Fortran, dsytrd, "dsytrd_");
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pragma Import (Fortran, dstebz, "dstebz_");
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pragma Import (Fortran, dsterf, "dsterf_");
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pragma Import (Fortran, dorgtr, "dorgtr_");
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pragma Import (Fortran, dsteqr, "dsteqr_");
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pragma Import (Fortran, sgetrf, "sgetrf_");
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pragma Import (Fortran, sgetri, "sgetri_");
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pragma Import (Fortran, sgetrs, "sgetrs_");
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pragma Import (Fortran, sorgtr, "sorgtr_");
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pragma Import (Fortran, sstebz, "sstebz_");
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pragma Import (Fortran, ssterf, "ssterf_");
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pragma Import (Fortran, ssteqr, "ssteqr_");
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pragma Import (Fortran, ssytrd, "ssytrd_");
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pragma Import (Fortran, zgetrf, "zgetrf_");
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pragma Import (Fortran, zgetri, "zgetri_");
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pragma Import (Fortran, zgetrs, "zgetrs_");
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pragma Import (Fortran, zheevr, "zheevr_");
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pragma Import (Fortran, zhetrd, "zhetrd_");
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pragma Import (Fortran, zsteqr, "zsteqr_");
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end Interfaces.Fortran.LAPACK;
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