/usr/include/rotations.h is in libalglib-dev 2.6.0-3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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Copyright (c) 1992-2007 The University of Tennessee. All rights reserved.
Contributors:
* Sergey Bochkanov (ALGLIB project). Translation from FORTRAN to
pseudocode.
See subroutines comments for additional copyrights.
>>> SOURCE LICENSE >>>
This program 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 (www.fsf.org); either version 2 of the
License, or (at your option) any later version.
This program 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.
A copy of the GNU General Public License is available at
http://www.fsf.org/licensing/licenses
>>> END OF LICENSE >>>
*************************************************************************/
#ifndef _rotations_h
#define _rotations_h
#include "ap.h"
#include "ialglib.h"
/*************************************************************************
Application of a sequence of elementary rotations to a matrix
The algorithm pre-multiplies the matrix by a sequence of rotation
transformations which is given by arrays C and S. Depending on the value
of the IsForward parameter either 1 and 2, 3 and 4 and so on (if IsForward=true)
rows are rotated, or the rows N and N-1, N-2 and N-3 and so on, are rotated.
Not the whole matrix but only a part of it is transformed (rows from M1 to
M2, columns from N1 to N2). Only the elements of this submatrix are changed.
Input parameters:
IsForward - the sequence of the rotation application.
M1,M2 - the range of rows to be transformed.
N1, N2 - the range of columns to be transformed.
C,S - transformation coefficients.
Array whose index ranges within [1..M2-M1].
A - processed matrix.
WORK - working array whose index ranges within [N1..N2].
Output parameters:
A - transformed matrix.
Utility subroutine.
*************************************************************************/
void applyrotationsfromtheleft(bool isforward,
int m1,
int m2,
int n1,
int n2,
const ap::real_1d_array& c,
const ap::real_1d_array& s,
ap::real_2d_array& a,
ap::real_1d_array& work);
/*************************************************************************
Application of a sequence of elementary rotations to a matrix
The algorithm post-multiplies the matrix by a sequence of rotation
transformations which is given by arrays C and S. Depending on the value
of the IsForward parameter either 1 and 2, 3 and 4 and so on (if IsForward=true)
rows are rotated, or the rows N and N-1, N-2 and N-3 and so on are rotated.
Not the whole matrix but only a part of it is transformed (rows from M1
to M2, columns from N1 to N2). Only the elements of this submatrix are changed.
Input parameters:
IsForward - the sequence of the rotation application.
M1,M2 - the range of rows to be transformed.
N1, N2 - the range of columns to be transformed.
C,S - transformation coefficients.
Array whose index ranges within [1..N2-N1].
A - processed matrix.
WORK - working array whose index ranges within [M1..M2].
Output parameters:
A - transformed matrix.
Utility subroutine.
*************************************************************************/
void applyrotationsfromtheright(bool isforward,
int m1,
int m2,
int n1,
int n2,
const ap::real_1d_array& c,
const ap::real_1d_array& s,
ap::real_2d_array& a,
ap::real_1d_array& work);
/*************************************************************************
The subroutine generates the elementary rotation, so that:
[ CS SN ] . [ F ] = [ R ]
[ -SN CS ] [ G ] [ 0 ]
CS**2 + SN**2 = 1
*************************************************************************/
void generaterotation(double f, double g, double& cs, double& sn, double& r);
#endif
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