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dbleHESS.cc
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1 /*
2 
3 Copyright (C) 1994-2015 John W. Eaton
4 
5 This file is part of Octave.
6 
7 Octave is free software; you can redistribute it and/or modify it
8 under the terms of the GNU General Public License as published by the
9 Free Software Foundation; either version 3 of the License, or (at your
10 option) any later version.
11 
12 Octave is distributed in the hope that it will be useful, but WITHOUT
13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
15 for more details.
16 
17 You should have received a copy of the GNU General Public License
18 along with Octave; see the file COPYING. If not, see
19 <http://www.gnu.org/licenses/>.
20 
21 */
22 
23 #ifdef HAVE_CONFIG_H
24 #include <config.h>
25 #endif
26 
27 #include "dbleHESS.h"
28 #include "f77-fcn.h"
29 #include "lo-error.h"
30 
31 extern "C"
32 {
33  F77_RET_T
34  F77_FUNC (dgebal, DGEBAL) (F77_CONST_CHAR_ARG_DECL,
35  const octave_idx_type&, double*,
36  const octave_idx_type&, octave_idx_type&,
37  octave_idx_type&, double*, octave_idx_type&
39 
40  F77_RET_T
41  F77_FUNC (dgehrd, DGEHRD) (const octave_idx_type&, const octave_idx_type&,
42  const octave_idx_type&, double*,
43  const octave_idx_type&, double*, double*,
44  const octave_idx_type&, octave_idx_type&);
45 
46  F77_RET_T
47  F77_FUNC (dorghr, DORGHR) (const octave_idx_type&, const octave_idx_type&,
48  const octave_idx_type&, double*,
49  const octave_idx_type&, double*, double*,
50  const octave_idx_type&, octave_idx_type&);
51 
52  F77_RET_T
53  F77_FUNC (dgebak, DGEBAK) (F77_CONST_CHAR_ARG_DECL,
55  const octave_idx_type&, const octave_idx_type&,
56  const octave_idx_type&, double*,
57  const octave_idx_type&, double*,
58  const octave_idx_type&, octave_idx_type&
61 }
62 
64 HESS::init (const Matrix& a)
65 {
66  octave_idx_type a_nr = a.rows ();
67  octave_idx_type a_nc = a.cols ();
68 
69  if (a_nr != a_nc)
70  {
71  (*current_liboctave_error_handler) ("HESS requires square matrix");
72  return -1;
73  }
74 
75  char job = 'N';
76  char side = 'R';
77 
78  octave_idx_type n = a_nc;
79  octave_idx_type lwork = 32 * n;
80  octave_idx_type info;
81  octave_idx_type ilo;
82  octave_idx_type ihi;
83 
84  hess_mat = a;
85  double *h = hess_mat.fortran_vec ();
86 
88  double *pscale = scale.fortran_vec ();
89 
90  F77_XFCN (dgebal, DGEBAL, (F77_CONST_CHAR_ARG2 (&job, 1),
91  n, h, n, ilo, ihi, pscale, info
92  F77_CHAR_ARG_LEN (1)));
93 
94  Array<double> tau (dim_vector (n-1, 1));
95  double *ptau = tau.fortran_vec ();
96 
97  Array<double> work (dim_vector (lwork, 1));
98  double *pwork = work.fortran_vec ();
99 
100  F77_XFCN (dgehrd, DGEHRD, (n, ilo, ihi, h, n, ptau, pwork,
101  lwork, info));
102 
104  double *z = unitary_hess_mat.fortran_vec ();
105 
106  F77_XFCN (dorghr, DORGHR, (n, ilo, ihi, z, n, ptau, pwork,
107  lwork, info));
108 
109  F77_XFCN (dgebak, DGEBAK, (F77_CONST_CHAR_ARG2 (&job, 1),
110  F77_CONST_CHAR_ARG2 (&side, 1),
111  n, ilo, ihi, pscale, n, z,
112  n, info
113  F77_CHAR_ARG_LEN (1)
114  F77_CHAR_ARG_LEN (1)));
115 
116  // If someone thinks of a more graceful way of doing
117  // this (or faster for that matter :-)), please let
118  // me know!
119 
120  if (n > 2)
121  for (octave_idx_type j = 0; j < a_nc; j++)
122  for (octave_idx_type i = j+2; i < a_nr; i++)
123  hess_mat.elem (i, j) = 0;
124 
125  return info;
126 }
#define F77_CHAR_ARG_LEN(l)
Definition: f77-fcn.h:253
Matrix unitary_hess_mat
Definition: dbleHESS.h:70
F77_RET_T const octave_idx_type double const octave_idx_type octave_idx_type octave_idx_type double octave_idx_type & F77_CHAR_ARG_LEN_DECL
Definition: dbleHESS.cc:35
T & elem(octave_idx_type n)
Definition: Array.h:380
F77_RET_T const octave_idx_type const octave_idx_type double const octave_idx_type double double const octave_idx_type octave_idx_type &F77_RET_T const octave_idx_type const octave_idx_type double const octave_idx_type double double const octave_idx_type octave_idx_type &F77_RET_T F77_CONST_CHAR_ARG_DECL
Definition: dbleHESS.cc:54
#define F77_XFCN(f, F, args)
Definition: f77-fcn.h:51
octave_idx_type rows(void) const
Definition: Array.h:313
#define F77_CONST_CHAR_ARG2(x, l)
Definition: f77-fcn.h:251
F77_RET_T F77_FUNC(dgebal, DGEBAL)(F77_CONST_CHAR_ARG_DECL
octave_idx_type init(const Matrix &a)
Definition: dbleHESS.cc:64
#define F77_RET_T
Definition: f77-fcn.h:264
Definition: dMatrix.h:35
Matrix hess_mat
Definition: dbleHESS.h:69
void scale(Matrix &m, double x, double y, double z)
Definition: graphics.cc:5281
const T * fortran_vec(void) const
Definition: Array.h:481
octave_idx_type cols(void) const
Definition: Array.h:321