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CmplxQRP.cc
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1996-09-28
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// -*- C++ -*-
/*
Copyright (C) 1992, 1993, 1994, 1995 John W. Eaton
This file is part of Octave.
Octave 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, or (at your option) any
later version.
Octave 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 Octave; see the file COPYING. If not, write to the Free
Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
*/
#ifdef HAVE_CONFIG_H
#include "config.h"
#endif
#include <assert.h>
#include "CmplxQRP.h"
#include "mx-inlines.cc"
#include "lo-error.h"
#include "f77-uscore.h"
extern "C"
{
int F77_FCN (zgeqpf) (const int*, const int*, Complex*, const int*,
int*, Complex*, Complex*, double*, int*);
int F77_FCN (zungqr) (const int*, const int*, const int*, Complex*,
const int*, Complex*, Complex*, const int*, int*);
}
// It would be best to share some of this code with ComplexQR class...
ComplexQRP::ComplexQRP (const ComplexMatrix& a, QR::type qr_type)
{
assert (qr_type != QR::raw);
int m = a.rows ();
int n = a.cols ();
if (m == 0 || n == 0)
{
(*current_liboctave_error_handler)
("ComplexQR must have non-empty matrix");
return;
}
Complex *tmp_data;
int min_mn = m < n ? m : n;
Complex *tau = new Complex[min_mn];
int lwork = n;
Complex *work = new Complex[lwork];
int info = 0;
if (m > n)
{
tmp_data = new Complex [m*m];
copy (tmp_data, a.data (), a.length ());
}
else
tmp_data = dup (a.data (), a.length ());
work = new Complex[n];
double *rwork = new double[2*n];
int *jpvt = new int[n];
// Clear Pivot vector (code to enforce a certain permutation would go
// here...)
for (int i = 0; i < n; i++)
jpvt[i] = 0;
F77_FCN (zgeqpf) (&m, &n, tmp_data, &m, jpvt, tau, work, rwork, &info);
// Form Permutation matrix (if economy is requested, return the
// indices only!)
if (qr_type == QR::economy && m > n)
{
p.resize (1, n, 0.0);
for (int j = 0; j < n; j++)
p.elem (0, j) = jpvt[j];
}
else
{
p.resize (n, n, 0.0);
for (int j = 0; j < n; j++)
p.elem (jpvt[j]-1, j) = 1.0;
}
delete [] jpvt;
delete [] work;
int n2;
if (qr_type == QR::economy && m > n)
{
n2 = n;
r.resize (n, n, 0.0);
}
else
{
n2 = m;
r.resize (m, n, 0.0);
}
for (int j = 0; j < n; j++)
{
int limit = j < min_mn-1 ? j : min_mn-1;
for (int i = 0; i <= limit; i++)
r.elem (i, j) = tmp_data[m*j+i];
}
lwork = 32*m;
work = new Complex[lwork];
F77_FCN (zungqr) (&m, &m, &min_mn, tmp_data, &m, tau, work,
&lwork, &info);
q = ComplexMatrix (tmp_data, m, m);
q.resize (m, n2);
delete [] tau;
delete [] work;
}
/*
;;; Local Variables: ***
;;; mode: C++ ***
;;; page-delimiter: "^/\\*" ***
;;; End: ***
*/