------------------------------------------------------------------------------ -- -- -- GNAT RUN-TIME COMPONENTS -- -- -- -- S Y S T E M . G E N E R I C _ R E A L _ 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 -- -- . -- -- -- -- GNAT was originally developed by the GNAT team at New York University. -- -- Extensive contributions were provided by Ada Core Technologies Inc. -- -- -- ------------------------------------------------------------------------------ -- Package comment required ??? generic type Real is digits <>; type Real_Vector is array (Integer range <>) of Real; type Real_Matrix is array (Integer range <>, Integer range <>) of Real; package System.Generic_Real_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 -- 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 -- orgtr Generates the Float 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 Float symmetric -- tridiagonal matrix using QR algorithm -- sytrd Reduces a Float symmetric matrix to tridiagonal form procedure getrf (M : Natural; N : Natural; A : in out Real_Matrix; Ld_A : Positive; I_Piv : out Integer_Vector; Info : access Integer); procedure getri (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 getrs (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 orgtr (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 sterf (N : Natural; D : in out Real_Vector; E : in out Real_Vector; Info : access Integer); procedure steqr (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 sytrd (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); end System.Generic_Real_LAPACK;