| ------------------------------------------------------------------------------ |
| -- -- |
| -- 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 -- |
| -- <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 ??? |
| |
| 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; |