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// Copyright (C) 2003--2004 Zbigniew Leyk (zbigniew.leyk@anu.edu.au)
// and David E. Stewart (david.stewart@anu.edu.au)
// and Ronan Collobert (collober@idiap.ch)
//
// This file is part of Torch 3.1.
//
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions
// are met:
// 1. Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
// 2. Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in the
// documentation and/or other materials provided with the distribution.
// 3. The name of the author may not be used to endorse or promote products
// derived from this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
// IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
// OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
// IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
// INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
// NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
// THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#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@idiap.ch)
*/
//@{
/** 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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