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// Copyright (C) 2002 Zbigniew Leyk (zbigniew.leyk@anu.edu.au)
// and David E. Stewart (david.stewart@anu.edu.au)
// and Ronan Collobert (collober@iro.umontreal.ca)
//
//
// This file is part of Torch. Release II.
// [The Ultimate Machine Learning Library]
//
// Torch is free software; you can redistribute it and/or modify
// it under the terms of the GNU General Public License as published by
// the Free Software Foundation; either version 2 of the License, or
// (at your option) any later version.
//
// Torch is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU General Public License
// along with Torch; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
#ifndef MX_GIVENS_INC
#define MX_GIVENS_INC
#include "Vec.h"
#include "Mat.h"
namespace Torch {
/**
Givens matrix operations routines.
Routines for calculating and applying Givens rotations for/to
vectors and also to matrices by row and by column.
Based on the "Meschach Library", available at the
anonymous ftp site thrain.anu.edu.au in the directory
pub/meschach.
@author David E. Stewart (david.stewart@anu.edu.au)
@author Zbigniew Leyk (zbigniew.leyk@anu.edu.au)
@author Ronan Collobert (collober@iro.umontreal.ca)
*/
//@{
/** Returns #c#, #s# parameters for Givens rotation
to eliminate #y# in the vector #[ x y ]'#.
*/
void mx_givens(real x, real y, real * c, real * s);
/** Apply Givens rotation to #x#'s #i# and #k# components.
*/
void mx_rot_vec(Vec * x, int i, int k, real c, real s, Vec * out);
/** Premultiply #mat# by givens rotation described by #c#,#s#.
*/
void mx_rot_rows(Mat * mat, int i, int k, real c, real s, Mat * out);
/** Postmultiply #mat# by givens rotation described by #c#,#s#.
*/
void mx_rot_cols(Mat * mat, int i, int k, real c, real s, Mat * out);
//@}
}
#endif
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