annotate src/xpow.cc @ 8979:a7c00773a089

optimize also .^-1 case
author Jaroslav Hajek <highegg@gmail.com>
date Fri, 13 Mar 2009 22:54:37 +0100
parents 0a58c4cd1405
children 10bed8fbec99
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1 /*
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2
7017
a1dbe9d80eee [project @ 2007-10-12 21:27:11 by jwe]
jwe
parents: 7016
diff changeset
3 Copyright (C) 1993, 1994, 1995, 1996, 1997, 1998, 2000, 2002, 2003,
8920
eb63fbe60fab update copyright notices
John W. Eaton <jwe@octave.org>
parents: 8382
diff changeset
4 2004, 2005, 2006, 2007, 2008 John W. Eaton
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
5
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
6 This file is part of Octave.
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
7
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
8 Octave is free software; you can redistribute it and/or modify it
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
9 under the terms of the GNU General Public License as published by the
7016
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 6207
diff changeset
10 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 6207
diff changeset
11 option) any later version.
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
12
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
13 Octave is distributed in the hope that it will be useful, but WITHOUT
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
16 for more details.
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
17
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
18 You should have received a copy of the GNU General Public License
7016
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 6207
diff changeset
19 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 6207
diff changeset
20 <http://www.gnu.org/licenses/>.
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
21
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
22 */
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
23
240
a99f28f5e351 [project @ 1993-11-30 20:24:36 by jwe]
jwe
parents: 164
diff changeset
24 #ifdef HAVE_CONFIG_H
1192
b6360f2d4fa6 [project @ 1995-03-30 21:38:35 by jwe]
jwe
parents: 1009
diff changeset
25 #include <config.h>
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
26 #endif
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
27
1343
94bedeb289e5 [project @ 1995-09-04 00:29:21 by jwe]
jwe
parents: 1321
diff changeset
28 #include <cassert>
1580
0c49e5e8dd5b [project @ 1995-10-19 21:26:43 by jwe]
jwe
parents: 1567
diff changeset
29 #include <climits>
1343
94bedeb289e5 [project @ 1995-09-04 00:29:21 by jwe]
jwe
parents: 1321
diff changeset
30
4669
334a27c8f453 [project @ 2003-11-26 07:02:42 by jwe]
jwe
parents: 4543
diff changeset
31 #include "Array-util.h"
1352
19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe]
jwe
parents: 1343
diff changeset
32 #include "CColVector.h"
453
393e95f46b51 [project @ 1994-06-06 00:05:20 by jwe]
jwe
parents: 240
diff changeset
33 #include "CDiagMatrix.h"
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
34 #include "fCDiagMatrix.h"
1352
19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe]
jwe
parents: 1343
diff changeset
35 #include "CMatrix.h"
453
393e95f46b51 [project @ 1994-06-06 00:05:20 by jwe]
jwe
parents: 240
diff changeset
36 #include "EIG.h"
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
37 #include "fEIG.h"
1352
19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe]
jwe
parents: 1343
diff changeset
38 #include "dDiagMatrix.h"
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
39 #include "fDiagMatrix.h"
1352
19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe]
jwe
parents: 1343
diff changeset
40 #include "dMatrix.h"
8958
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
41 #include "PermMatrix.h"
3585
d9803711e047 [project @ 2000-02-08 04:35:39 by jwe]
jwe
parents: 3178
diff changeset
42 #include "mx-cm-cdm.h"
1651
e846e361a265 [project @ 1995-12-20 06:59:12 by jwe]
jwe
parents: 1580
diff changeset
43 #include "oct-cmplx.h"
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
44 #include "quit.h"
1352
19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe]
jwe
parents: 1343
diff changeset
45
19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe]
jwe
parents: 1343
diff changeset
46 #include "error.h"
4055
7690958e7726 [project @ 2002-08-18 01:56:58 by jwe]
jwe
parents: 3585
diff changeset
47 #include "oct-obj.h"
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
48 #include "utils.h"
1352
19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe]
jwe
parents: 1343
diff changeset
49 #include "xpow.h"
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
50
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
51 #ifdef _OPENMP
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
52 #include <omp.h>
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
53 #endif
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
54
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
55 static inline int
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
56 xisint (double x)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
57 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
58 return (D_NINT (x) == x
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
59 && ((x >= 0 && x < INT_MAX)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
60 || (x <= 0 && x > INT_MIN)));
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
61 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
62
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
63 // Safer pow functions.
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
64 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
65 // op2 \ op1: s m cs cm
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
66 // +-- +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
67 // scalar | | 1 | 5 | 7 | 11 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
68 // +---+---+----+----+
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
69 // matrix | 2 | * | 8 | * |
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
70 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
71 // complex_scalar | 3 | 6 | 9 | 12 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
72 // +---+---+----+----+
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
73 // complex_matrix | 4 | * | 10 | * |
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
74 // +---+---+----+----+
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
75
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
76 // -*- 1 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
77 octave_value
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
78 xpow (double a, double b)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
79 {
7543
b84c5cbc0812 print.m: handle gif and jpg devices
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
80 double retval;
b84c5cbc0812 print.m: handle gif and jpg devices
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
81
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
82 if (a < 0.0 && ! xisint (b))
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
83 {
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
84 Complex atmp (a);
4682
994f449a1eba [project @ 2003-12-19 15:37:14 by jwe]
jwe
parents: 4669
diff changeset
85
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
86 return std::pow (atmp, b);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
87 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
88 else
7543
b84c5cbc0812 print.m: handle gif and jpg devices
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
89 retval = std::pow (a, b);
b84c5cbc0812 print.m: handle gif and jpg devices
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
90
b84c5cbc0812 print.m: handle gif and jpg devices
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
91 return retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
92 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
93
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
94 // -*- 2 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
95 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
96 xpow (double a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
97 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
98 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
99
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
100 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
101 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
102
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
103 if (nr == 0 || nc == 0 || nr != nc)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
104 error ("for x^A, A must be square");
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
105 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
106 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
107 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
108
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
109 if (! error_state)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
110 {
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
111 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
112 ComplexMatrix Q (b_eig.eigenvectors ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
113
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
114 for (octave_idx_type i = 0; i < nr; i++)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
115 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
116 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
117 if (std::imag (elt) == 0.0)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
118 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
119 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
120 lambda(i) = std::pow (a, elt);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
121 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
122 ComplexDiagMatrix D (lambda);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
123
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
124 retval = ComplexMatrix (Q * D * Q.inverse ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
125 }
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
126 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
127 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
128 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
129
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
130 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
131 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
132
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
133 // -*- 3 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
134 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
135 xpow (double a, const Complex& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
136 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
137 Complex result;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
138 Complex atmp (a);
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
139 result = std::pow (atmp, b);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
140 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
141 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
142
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
143 // -*- 4 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
144 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
145 xpow (double a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
146 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
147 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
148
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
149 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
150 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
151
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
152 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
153 error ("for x^A, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
154 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
155 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
156 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
157
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
158 if (! error_state)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
159 {
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
160 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
161 ComplexMatrix Q (b_eig.eigenvectors ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
162
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
163 for (octave_idx_type i = 0; i < nr; i++)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
164 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
165 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
166 if (std::imag (elt) == 0.0)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
167 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
168 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
169 lambda(i) = std::pow (a, elt);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
170 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
171 ComplexDiagMatrix D (lambda);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
172
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
173 retval = ComplexMatrix (Q * D * Q.inverse ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
174 }
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
175 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
176 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
177 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
178
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
179 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
180 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
181
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
182 // -*- 5 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
183 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
184 xpow (const Matrix& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
185 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
186 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
187
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
188 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
189 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
190
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
191 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
192 error ("for A^b, A must be square");
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
193 else
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
194 {
2800
9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe]
jwe
parents: 2365
diff changeset
195 if (static_cast<int> (b) == b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
196 {
2804
eedc2f3f61f7 [project @ 1997-03-11 04:34:50 by jwe]
jwe
parents: 2800
diff changeset
197 int btmp = static_cast<int> (b);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
198 if (btmp == 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
199 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
200 retval = DiagMatrix (nr, nr, 1.0);
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
201 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
202 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
203 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
204 // Too much copying?
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5667
diff changeset
205 // FIXME -- we shouldn't do this if the exponent is
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
206 // large...
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
207
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
208 Matrix atmp;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
209 if (btmp < 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
210 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
211 btmp = -btmp;
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
212
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
213 octave_idx_type info;
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
214 double rcond = 0.0;
6207
3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman]
dbateman
parents: 5775
diff changeset
215 MatrixType mattype (a);
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
216
6207
3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman]
dbateman
parents: 5775
diff changeset
217 atmp = a.inverse (mattype, info, rcond, 1);
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
218
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
219 if (info == -1)
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
220 warning ("inverse: matrix singular to machine\
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
221 precision, rcond = %g", rcond);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
222 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
223 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
224 atmp = a;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
225
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
226 Matrix result (atmp);
3178
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
227
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
228 btmp--;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
229
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
230 while (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
231 {
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
232 if (btmp & 1)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
233 result = result * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
234
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
235 btmp >>= 1;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
236
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
237 if (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
238 atmp = atmp * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
239 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
240
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
241 retval = result;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
242 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
243 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
244 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
245 {
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
246 EIG a_eig (a);
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
247
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
248 if (! error_state)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
249 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
250 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
251 ComplexMatrix Q (a_eig.eigenvectors ());
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
252
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
253 for (octave_idx_type i = 0; i < nr; i++)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
254 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
255
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
256 ComplexDiagMatrix D (lambda);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
257
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
258 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
259 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
260 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
261 error ("xpow: matrix diagonalization failed");
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
262 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
263 }
1358
dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe]
jwe
parents: 1352
diff changeset
264
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
265 return retval;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
266 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
267
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
268 // -*- 5d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
269 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
270 xpow (const DiagMatrix& a, double b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
271 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
272 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
273
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
274 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
275 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
276
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
277 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
278 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
279 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
280 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
281 if (static_cast<int> (b) == b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
282 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
283 DiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
284 for (octave_idx_type i = 0; i < nc; i++)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
285 r(i, i) = std::pow (a(i, i), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
286 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
287 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
288 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
289 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
290 ComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
291 for (octave_idx_type i = 0; i < nc; i++)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
292 r(i, i) = std::pow (static_cast<Complex> (a(i, i)), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
293 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
294 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
295 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
296
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
297 return retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
298 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
299
8958
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
300 // -*- 5p -*-
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
301 octave_value
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
302 xpow (const PermMatrix& a, double b)
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
303 {
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
304 octave_value retval;
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
305 int btmp = static_cast<int> (b);
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
306 if (btmp == b)
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
307 return a.power (btmp);
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
308 else
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
309 return xpow (Matrix (a), b);
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
310 }
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
311
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
312 // -*- 6 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
313 octave_value
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
314 xpow (const Matrix& a, const Complex& b)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
315 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
316 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
317
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
318 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
319 octave_idx_type nc = a.cols ();
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
320
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
321 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
322 error ("for A^b, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
323 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
324 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
325 EIG a_eig (a);
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
326
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
327 if (! error_state)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
328 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
329 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
330 ComplexMatrix Q (a_eig.eigenvectors ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
331
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
332 for (octave_idx_type i = 0; i < nr; i++)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
333 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
334
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
335 ComplexDiagMatrix D (lambda);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
336
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
337 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
338 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
339 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
340 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
341 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
342
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
343 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
344 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
345
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
346 // -*- 7 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
347 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
348 xpow (const Complex& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
349 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
350 Complex result;
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
351
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
352 if (xisint (b))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
353 result = std::pow (a, static_cast<int> (b));
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
354 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
355 result = std::pow (a, b);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
356
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
357 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
358 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
359
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
360 // -*- 8 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
361 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
362 xpow (const Complex& a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
363 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
364 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
365
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
366 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
367 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
368
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
369 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
370 error ("for x^A, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
371 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
372 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
373 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
374
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
375 if (! error_state)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
376 {
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
377 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
378 ComplexMatrix Q (b_eig.eigenvectors ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
379
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
380 for (octave_idx_type i = 0; i < nr; i++)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
381 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
382 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
383 if (std::imag (elt) == 0.0)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
384 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
385 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
386 lambda(i) = std::pow (a, elt);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
387 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
388 ComplexDiagMatrix D (lambda);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
389
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
390 retval = ComplexMatrix (Q * D * Q.inverse ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
391 }
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
392 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
393 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
394 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
395
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
396 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
397 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
398
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
399 // -*- 9 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
400 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
401 xpow (const Complex& a, const Complex& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
402 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
403 Complex result;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
404 result = std::pow (a, b);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
405 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
406 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
407
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
408 // -*- 10 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
409 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
410 xpow (const Complex& a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
411 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
412 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
413
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
414 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
415 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
416
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
417 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
418 error ("for x^A, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
419 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
420 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
421 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
422
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
423 if (! error_state)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
424 {
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
425 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
426 ComplexMatrix Q (b_eig.eigenvectors ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
427
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
428 for (octave_idx_type i = 0; i < nr; i++)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
429 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
430 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
431 if (std::imag (elt) == 0.0)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
432 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
433 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
434 lambda(i) = std::pow (a, elt);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
435 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
436 ComplexDiagMatrix D (lambda);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
437
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
438 retval = ComplexMatrix (Q * D * Q.inverse ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
439 }
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
440 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
441 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
442 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
443
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
444 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
445 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
446
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
447 // -*- 11 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
448 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
449 xpow (const ComplexMatrix& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
450 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
451 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
452
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
453 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
454 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
455
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
456 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
457 error ("for A^b, A must be square");
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
458 else
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
459 {
2800
9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe]
jwe
parents: 2365
diff changeset
460 if (static_cast<int> (b) == b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
461 {
2804
eedc2f3f61f7 [project @ 1997-03-11 04:34:50 by jwe]
jwe
parents: 2800
diff changeset
462 int btmp = static_cast<int> (b);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
463 if (btmp == 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
464 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
465 retval = DiagMatrix (nr, nr, 1.0);
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
466 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
467 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
468 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
469 // Too much copying?
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5667
diff changeset
470 // FIXME -- we shouldn't do this if the exponent is
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
471 // large...
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
472
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
473 ComplexMatrix atmp;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
474 if (btmp < 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
475 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
476 btmp = -btmp;
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
477
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
478 octave_idx_type info;
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
479 double rcond = 0.0;
6207
3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman]
dbateman
parents: 5775
diff changeset
480 MatrixType mattype (a);
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
481
6207
3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman]
dbateman
parents: 5775
diff changeset
482 atmp = a.inverse (mattype, info, rcond, 1);
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
483
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
484 if (info == -1)
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
485 warning ("inverse: matrix singular to machine\
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
486 precision, rcond = %g", rcond);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
487 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
488 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
489 atmp = a;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
490
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
491 ComplexMatrix result (atmp);
3178
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
492
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
493 btmp--;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
494
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
495 while (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
496 {
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
497 if (btmp & 1)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
498 result = result * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
499
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
500 btmp >>= 1;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
501
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
502 if (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
503 atmp = atmp * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
504 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
505
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
506 retval = result;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
507 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
508 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
509 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
510 {
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
511 EIG a_eig (a);
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
512
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
513 if (! error_state)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
514 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
515 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
516 ComplexMatrix Q (a_eig.eigenvectors ());
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
517
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
518 for (octave_idx_type i = 0; i < nr; i++)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
519 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
520
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
521 ComplexDiagMatrix D (lambda);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
522
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
523 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
524 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
525 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
526 error ("xpow: matrix diagonalization failed");
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
527 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
528 }
1358
dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe]
jwe
parents: 1352
diff changeset
529
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
530 return retval;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
531 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
532
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
533 // -*- 12 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
534 octave_value
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
535 xpow (const ComplexMatrix& a, const Complex& b)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
536 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
537 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
538
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
539 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
540 octave_idx_type nc = a.cols ();
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
541
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
542 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
543 error ("for A^b, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
544 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
545 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
546 EIG a_eig (a);
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
547
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
548 if (! error_state)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
549 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
550 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
551 ComplexMatrix Q (a_eig.eigenvectors ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
552
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
553 for (octave_idx_type i = 0; i < nr; i++)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
554 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
555
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
556 ComplexDiagMatrix D (lambda);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
557
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
558 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
559 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
560 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
561 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
562 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
563
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
564 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
565 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
566
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
567 // -*- 12d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
568 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
569 xpow (const ComplexDiagMatrix& a, const Complex& b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
570 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
571 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
572
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
573 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
574 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
575
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
576 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
577 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
578 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
579 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
580 ComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
581 for (octave_idx_type i = 0; i < nc; i++)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
582 r(i, i) = std::pow (a(i, i), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
583 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
584 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
585
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
586 return retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
587 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
588
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
589 // mixed
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
590 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
591 xpow (const ComplexDiagMatrix& a, double b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
592 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
593 return xpow (a, static_cast<Complex> (b));
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
594 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
595
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
596 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
597 xpow (const DiagMatrix& a, const Complex& b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
598 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
599 return xpow (ComplexDiagMatrix (a), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
600 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
601
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
602
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
603 // Safer pow functions that work elementwise for matrices.
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
604 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
605 // op2 \ op1: s m cs cm
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
606 // +-- +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
607 // scalar | | * | 3 | * | 9 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
608 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
609 // matrix | 1 | 4 | 7 | 10 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
610 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
611 // complex_scalar | * | 5 | * | 11 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
612 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
613 // complex_matrix | 2 | 6 | 8 | 12 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
614 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
615 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
616 // * -> not needed.
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
617
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5667
diff changeset
618 // FIXME -- these functions need to be fixed so that things
3162
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
619 // like
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
620 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
621 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
622 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
623 // and
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
624 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
625 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
626 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
627 // produce identical results. Also, it would be nice if -1^0.5
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
628 // produced a pure imaginary result instead of a complex number with a
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
629 // small real part. But perhaps that's really a problem with the math
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
630 // library...
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
631
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
632 // -*- 1 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
633 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
634 elem_xpow (double a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
635 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
636 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
637
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
638 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
639 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
640
3162
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
641 double d1, d2;
1358
dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe]
jwe
parents: 1352
diff changeset
642
3162
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
643 if (a < 0.0 && ! b.all_integers (d1, d2))
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
644 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
645 Complex atmp (a);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
646 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
647
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
648 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
649 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
650 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
651 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
652 result (i, j) = std::pow (atmp, b (i, j));
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
653 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
654
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
655 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
656 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
657 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
658 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
659 Matrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
660
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
661 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
662 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
663 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
664 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
665 result (i, j) = std::pow (a, b (i, j));
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
666 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
667
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
668 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
669 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
670
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
671 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
672 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
673
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
674 // -*- 2 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
675 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
676 elem_xpow (double a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
677 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
678 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
679 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
680
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
681 ComplexMatrix result (nr, nc);
3125
dcc6c985d72d [project @ 1998-01-16 05:08:21 by jwe]
jwe
parents: 2847
diff changeset
682 Complex atmp (a);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
683
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
684 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
685 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
686 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
687 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
688 result (i, j) = std::pow (atmp, b (i, j));
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
689 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
690
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
691 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
692 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
693
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
694 // -*- 3 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
695 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
696 elem_xpow (const Matrix& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
697 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
698 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
699
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
700 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
701 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
702
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
703 if (! xisint (b) && a.any_element_is_negative ())
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
704 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
705 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
706
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
707 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
708 for (octave_idx_type i = 0; i < nr; i++)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
709 {
5665
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
710 OCTAVE_QUIT;
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
711
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
712 Complex atmp (a (i, j));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
713
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
714 result (i, j) = std::pow (atmp, b);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
715 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
716
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
717 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
718 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
719 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
720 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
721 Matrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
722
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
723 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
724 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
725 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
726 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
727 result (i, j) = std::pow (a (i, j), b);
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
728 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
729
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
730 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
731 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
732
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
733 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
734 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
735
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
736 // -*- 4 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
737 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
738 elem_xpow (const Matrix& a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
739 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
740 octave_value retval;
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
741
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
742 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
743 octave_idx_type nc = a.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
744
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
745 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
746 octave_idx_type b_nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
747
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
748 if (nr != b_nr || nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
749 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
750 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
751 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
752 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
753
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
754 int convert_to_complex = 0;
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
755 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
756 for (octave_idx_type i = 0; i < nr; i++)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
757 {
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
758 OCTAVE_QUIT;
2305
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe]
jwe
parents: 2086
diff changeset
759 double atmp = a (i, j);
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe]
jwe
parents: 2086
diff changeset
760 double btmp = b (i, j);
2800
9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe]
jwe
parents: 2365
diff changeset
761 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
762 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
763 convert_to_complex = 1;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
764 goto done;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
765 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
766 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
767
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
768 done:
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
769
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
770 if (convert_to_complex)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
771 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
772 ComplexMatrix complex_result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
773
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
774 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
775 for (octave_idx_type i = 0; i < nr; i++)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
776 {
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
777 OCTAVE_QUIT;
5665
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
778 Complex atmp (a (i, j));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
779 Complex btmp (b (i, j));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
780 complex_result (i, j) = std::pow (atmp, btmp);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
781 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
782
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
783 retval = complex_result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
784 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
785 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
786 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
787 Matrix result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
788
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
789 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
790 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
791 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
792 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
793 result (i, j) = std::pow (a (i, j), b (i, j));
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
794 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
795
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
796 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
797 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
798
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
799 return retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
800 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
801
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
802 // -*- 5 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
803 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
804 elem_xpow (const Matrix& a, const Complex& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
805 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
806 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
807 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
808
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
809 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
810
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
811 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
812 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
813 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
814 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
815 result (i, j) = std::pow (Complex (a (i, j)), b);
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
816 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
817
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
818 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
819 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
820
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
821 // -*- 6 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
822 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
823 elem_xpow (const Matrix& a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
824 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
825 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
826 octave_idx_type nc = a.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
827
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
828 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
829 octave_idx_type b_nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
830
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
831 if (nr != b_nr || nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
832 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
833 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
834 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
835 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
836
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
837 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
838
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
839 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
840 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
841 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
842 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
843 result (i, j) = std::pow (Complex (a (i, j)), b (i, j));
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
844 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
845
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
846 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
847 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
848
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
849 // -*- 7 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
850 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
851 elem_xpow (const Complex& a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
852 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
853 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
854 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
855
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
856 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
857
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
858 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
859 for (octave_idx_type i = 0; i < nr; i++)
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
860 {
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
861 OCTAVE_QUIT;
2305
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe]
jwe
parents: 2086
diff changeset
862 double btmp = b (i, j);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
863 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
864 result (i, j) = std::pow (a, static_cast<int> (btmp));
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
865 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
866 result (i, j) = std::pow (a, btmp);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
867 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
868
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
869 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
870 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
871
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
872 // -*- 8 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
873 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
874 elem_xpow (const Complex& a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
875 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
876 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
877 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
878
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
879 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
880
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
881 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
882 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
883 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
884 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
885 result (i, j) = std::pow (a, b (i, j));
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
886 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
887
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
888 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
889 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
890
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
891 // -*- 9 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
892 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
893 elem_xpow (const ComplexMatrix& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
894 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
895 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
896 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
897
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
898 ComplexMatrix result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
899
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
900 if (xisint (b))
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
901 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
902 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
903 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
904 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
905 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
906 result (i, j) = std::pow (a (i, j), static_cast<int> (b));
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
907 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
908 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
909 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
910 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
911 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
912 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
913 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
914 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
915 result (i, j) = std::pow (a (i, j), b);
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
916 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
917 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
918
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
919 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
920 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
921
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
922 // -*- 10 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
923 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
924 elem_xpow (const ComplexMatrix& a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
925 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
926 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
927 octave_idx_type nc = a.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
928
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
929 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
930 octave_idx_type b_nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
931
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
932 if (nr != b_nr || nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
933 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
934 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
935 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
936 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
937
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
938 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
939
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
940 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
941 for (octave_idx_type i = 0; i < nr; i++)
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
942 {
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
943 OCTAVE_QUIT;
2305
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe]
jwe
parents: 2086
diff changeset
944 double btmp = b (i, j);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
945 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
946 result (i, j) = std::pow (a (i, j), static_cast<int> (btmp));
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
947 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
948 result (i, j) = std::pow (a (i, j), btmp);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
949 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
950
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
951 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
952 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
953
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
954 // -*- 11 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
955 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
956 elem_xpow (const ComplexMatrix& a, const Complex& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
957 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
958 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
959 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
960
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
961 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
962
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
963 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
964 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
965 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
966 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
967 result (i, j) = std::pow (a (i, j), b);
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
968 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
969
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
970 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
971 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
972
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
973 // -*- 12 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
974 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
975 elem_xpow (const ComplexMatrix& a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
976 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
977 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
978 octave_idx_type nc = a.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
979
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
980 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
981 octave_idx_type b_nc = b.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
982
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
983 if (nr != b_nr || nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
984 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
985 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
986 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
987 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
988
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
989 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
990
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
991 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
992 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
993 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
994 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
995 result (i, j) = std::pow (a (i, j), b (i, j));
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
996 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
997
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
998 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
999 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1000
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1001 // Safer pow functions that work elementwise for N-d arrays.
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1002 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1003 // op2 \ op1: s nd cs cnd
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1004 // +-- +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1005 // scalar | | * | 3 | * | 9 |
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1006 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1007 // N_d | 1 | 4 | 7 | 10 |
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1008 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1009 // complex_scalar | * | 5 | * | 11 |
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1010 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1011 // complex_N_d | 2 | 6 | 8 | 12 |
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1012 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1013 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1014 // * -> not needed.
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1015
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5667
diff changeset
1016 // FIXME -- these functions need to be fixed so that things
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1017 // like
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1018 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1019 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1020 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1021 // and
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1022 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1023 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1024 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1025 // produce identical results. Also, it would be nice if -1^0.5
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1026 // produced a pure imaginary result instead of a complex number with a
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1027 // small real part. But perhaps that's really a problem with the math
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1028 // library...
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1029
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1030 // -*- 1 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1031 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1032 elem_xpow (double a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1033 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1034 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1035
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1036 double d1, d2;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1037
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1038 if (a < 0.0 && ! b.all_integers (d1, d2))
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1039 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1040 Complex atmp (a);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1041 ComplexNDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1042 for (octave_idx_type i = 0; i < b.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1043 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1044 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1045 result(i) = std::pow (atmp, b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1046 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1047
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1048 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1049 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1050 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1051 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1052 NDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1053 for (octave_idx_type i = 0; i < b.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1054 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1055 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1056 result (i) = std::pow (a, b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1057 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1058
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1059 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1060 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1061
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1062 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1063 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1064
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1065 // -*- 2 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1066 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1067 elem_xpow (double a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1068 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1069 ComplexNDArray result (b.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1070 Complex atmp (a);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1071
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1072 for (octave_idx_type i = 0; i < b.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1073 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1074 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1075 result(i) = std::pow (atmp, b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1076 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1077
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1078 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1079 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1080
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1081 // -*- 3 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1082 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1083 elem_xpow (const NDArray& a, double b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1084 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1085 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1086
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1087 if (! xisint (b))
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1088 {
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1089 if (a.any_element_is_negative ())
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1090 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1091 ComplexNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1092
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1093 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1094 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1095 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1096
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1097 Complex atmp (a (i));
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1098
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1099 result(i) = std::pow (atmp, b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1100 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1101
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1102 retval = result;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1103 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1104 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1105 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1106 NDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1107 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1108 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1109 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1110 result(i) = std::pow (a(i), b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1111 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1112
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1113 retval = result;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1114 }
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1115 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1116 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1117 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1118 NDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1119
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1120 int ib = static_cast<int> (b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1121 if (ib == 2)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1122 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1123 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1124 result.xelem (i) = a(i) * a(i);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1125 }
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1126 else if (ib == -1)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1127 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1128 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1129 result.xelem (i) = 1.0 / a(i);
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1130 }
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1131 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1132 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1133 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1134 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1135 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1136 result(i) = std::pow (a(i), ib);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1137 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1138 }
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1139
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1140 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1141 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1142
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1143 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1144 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1145
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1146 // -*- 4 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1147 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1148 elem_xpow (const NDArray& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1149 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1150 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1151
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1152 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1153 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1154
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1155 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1156 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1157 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1158 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1159 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1160
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1161 int len = a.length ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1162
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1163 bool convert_to_complex = false;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1164
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1165 for (octave_idx_type i = 0; i < len; i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1166 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1167 OCTAVE_QUIT;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1168 double atmp = a(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1169 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1170 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1171 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1172 convert_to_complex = true;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1173 goto done;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1174 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1175 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1176
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1177 done:
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1178
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1179 if (convert_to_complex)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1180 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1181 ComplexNDArray complex_result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1182
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1183 for (octave_idx_type i = 0; i < len; i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1184 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1185 OCTAVE_QUIT;
5665
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
1186 Complex atmp (a(i));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
1187 Complex btmp (b(i));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
1188 complex_result(i) = std::pow (atmp, btmp);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1189 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1190
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1191 retval = complex_result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1192 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1193 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1194 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1195 NDArray result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1196
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1197 for (octave_idx_type i = 0; i < len; i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1198 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1199 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1200 result(i) = std::pow (a(i), b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1201 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1202
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1203 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1204 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1205
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1206 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1207 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1208
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1209 // -*- 5 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1210 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1211 elem_xpow (const NDArray& a, const Complex& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1212 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1213 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1214
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1215 for (octave_idx_type i = 0; i < a.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1216 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1217 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1218 result(i) = std::pow (Complex (a(i)), b);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1219 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1220
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1221 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1222 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1223
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1224 // -*- 6 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1225 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1226 elem_xpow (const NDArray& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1227 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1228 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1229 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1230
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1231 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1232 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1233 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1234 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1235 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1236
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1237 ComplexNDArray result (a_dims);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1238
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1239 for (octave_idx_type i = 0; i < a.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1240 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1241 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1242 result(i) = std::pow (Complex (a(i)), b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1243 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1244
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1245 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1246 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1247
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1248 // -*- 7 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1249 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1250 elem_xpow (const Complex& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1251 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1252 ComplexNDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1253
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1254 for (octave_idx_type i = 0; i < b.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1255 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1256 OCTAVE_QUIT;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1257 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1258 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1259 result(i) = std::pow (a, static_cast<int> (btmp));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1260 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1261 result(i) = std::pow (a, btmp);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1262 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1263
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1264 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1265 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1266
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1267 // -*- 8 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1268 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1269 elem_xpow (const Complex& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1270 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1271 ComplexNDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1272
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1273 for (octave_idx_type i = 0; i < b.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1274 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1275 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1276 result(i) = std::pow (a, b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1277 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1278
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1279 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1280 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1281
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1282 // -*- 9 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1283 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1284 elem_xpow (const ComplexNDArray& a, double b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1285 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1286 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1287
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1288 if (xisint (b))
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1289 {
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1290 if (b == -1)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1291 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1292 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1293 result.xelem (i) = std::conj (a(i)) / std::norm (a(i));
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1294 }
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1295 else
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1296 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1297 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1298 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1299 OCTAVE_QUIT;
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1300 result(i) = std::pow (a(i), static_cast<int> (b));
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1301 }
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1302 }
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1303 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1304 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1305 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1306 for (octave_idx_type i = 0; i < a.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1307 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1308 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1309 result(i) = std::pow (a(i), b);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1310 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1311 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1312
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1313 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1314 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1315
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1316 // -*- 10 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1317 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1318 elem_xpow (const ComplexNDArray& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1319 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1320 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1321 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1322
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1323 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1324 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1325 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1326 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1327 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1328
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1329 ComplexNDArray result (a_dims);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1330
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1331 for (octave_idx_type i = 0; i < a.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1332 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1333 OCTAVE_QUIT;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1334 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1335 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1336 result(i) = std::pow (a(i), static_cast<int> (btmp));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1337 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1338 result(i) = std::pow (a(i), btmp);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1339 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1340
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1341 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1342 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1343
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1344 // -*- 11 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1345 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1346 elem_xpow (const ComplexNDArray& a, const Complex& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1347 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1348 ComplexNDArray result (a.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1349
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1350 for (octave_idx_type i = 0; i < a.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1351 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1352 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1353 result(i) = std::pow (a(i), b);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1354 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1355
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1356 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1357 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1358
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1359 // -*- 12 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1360 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1361 elem_xpow (const ComplexNDArray& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1362 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1363 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1364 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1365
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1366 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1367 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1368 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1369 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1370 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1371
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1372 ComplexNDArray result (a_dims);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1373
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1374 for (octave_idx_type i = 0; i < a.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1375 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1376 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1377 result(i) = std::pow (a(i), b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1378 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1379
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1380 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1381 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1382
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1383 static inline int
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1384 xisint (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1385 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1386 return (D_NINT (x) == x
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1387 && ((x >= 0 && x < INT_MAX)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1388 || (x <= 0 && x > INT_MIN)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1389 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1390
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1391 // Safer pow functions.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1392 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1393 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1394 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1395 // scalar | | 1 | 5 | 7 | 11 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1396 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1397 // matrix | 2 | * | 8 | * |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1398 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1399 // complex_scalar | 3 | 6 | 9 | 12 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1400 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1401 // complex_matrix | 4 | * | 10 | * |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1402 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1403
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1404 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1405 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1406 xpow (float a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1407 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1408 float retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1409
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1410 if (a < 0.0 && ! xisint (b))
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1411 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1412 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1413
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1414 return std::pow (atmp, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1415 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1416 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1417 retval = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1418
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1419 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1420 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1421
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1422 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1423 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1424 xpow (float a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1425 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1426 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1427
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1428 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1429 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1430
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1431 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1432 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1433 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1434 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1435 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1436
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1437 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1438 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1439 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1440 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1441
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1442 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1443 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1444 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1445 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1446 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1447 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1448 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1449 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1450 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1451
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1452 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1453 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1454 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1455 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1456 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1457
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1458 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1459 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1460
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1461 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1462 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1463 xpow (float a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1464 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1465 FloatComplex result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1466 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1467 result = std::pow (atmp, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1468 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1469 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1470
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1471 // -*- 4 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1472 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1473 xpow (float a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1474 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1475 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1476
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1477 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1478 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1479
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1480 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1481 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1482 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1483 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1484 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1485
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1486 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1487 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1488 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1489 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1490
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1491 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1492 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1493 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1494 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1495 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1496 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1497 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1498 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1499 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1500
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1501 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1502 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1503 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1504 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1505 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1506
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1507 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1508 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1509
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1510 // -*- 5 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1511 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1512 xpow (const FloatMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1513 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1514 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1515
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1516 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1517 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1518
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1519 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1520 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1521 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1522 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1523 if (static_cast<int> (b) == b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1524 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1525 int btmp = static_cast<int> (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1526 if (btmp == 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1527 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1528 retval = FloatDiagMatrix (nr, nr, 1.0);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1529 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1530 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1531 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1532 // Too much copying?
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1533 // FIXME -- we shouldn't do this if the exponent is
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1534 // large...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1535
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1536 FloatMatrix atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1537 if (btmp < 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1538 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1539 btmp = -btmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1540
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1541 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1542 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1543 MatrixType mattype (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1544
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1545 atmp = a.inverse (mattype, info, rcond, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1546
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1547 if (info == -1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1548 warning ("inverse: matrix singular to machine\
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1549 precision, rcond = %g", rcond);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1550 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1551 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1552 atmp = a;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1553
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1554 FloatMatrix result (atmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1555
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1556 btmp--;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1557
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1558 while (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1559 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1560 if (btmp & 1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1561 result = result * atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1562
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1563 btmp >>= 1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1564
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1565 if (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1566 atmp = atmp * atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1567 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1568
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1569 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1570 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1571 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1572 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1573 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1574 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1575
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1576 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1577 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1578 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1579 FloatComplexMatrix Q (a_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1580
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1581 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1582 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1583
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1584 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1585
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1586 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1587 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1588 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1589 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1590 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1591 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1592
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1593 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1594 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1595
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1596 // -*- 5d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1597 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1598 xpow (const FloatDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1599 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1600 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1601
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1602 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1603 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1604
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1605 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1606 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1607 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1608 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1609 if (static_cast<int> (b) == b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1610 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1611 FloatDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1612 for (octave_idx_type i = 0; i < nc; i++)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1613 r(i, i) = std::pow (a(i, i), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1614 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1615 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1616 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1617 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1618 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1619 for (octave_idx_type i = 0; i < nc; i++)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1620 r(i, i) = std::pow (static_cast<FloatComplex> (a(i, i)), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1621 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1622 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1623 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1624
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1625 return retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1626 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1627
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1628 // -*- 6 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1629 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1630 xpow (const FloatMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1631 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1632 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1633
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1634 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1635 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1636
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1637 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1638 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1639 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1640 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1641 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1642
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1643 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1644 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1645 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1646 FloatComplexMatrix Q (a_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1647
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1648 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1649 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1650
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1651 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1652
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1653 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1654 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1655 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1656 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1657 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1658
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1659 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1660 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1661
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1662 // -*- 7 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1663 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1664 xpow (const FloatComplex& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1665 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1666 FloatComplex result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1667
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1668 if (xisint (b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1669 result = std::pow (a, static_cast<int> (b));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1670 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1671 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1672
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1673 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1674 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1675
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1676 // -*- 8 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1677 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1678 xpow (const FloatComplex& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1679 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1680 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1681
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1682 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1683 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1684
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1685 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1686 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1687 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1688 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1689 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1690
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1691 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1692 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1693 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1694 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1695
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1696 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1697 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1698 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1699 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1700 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1701 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1702 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1703 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1704 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1705
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1706 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1707 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1708 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1709 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1710 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1711
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1712 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1713 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1714
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1715 // -*- 9 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1716 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1717 xpow (const FloatComplex& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1718 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1719 FloatComplex result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1720 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1721 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1722 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1723
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1724 // -*- 10 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1725 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1726 xpow (const FloatComplex& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1727 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1728 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1729
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1730 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1731 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1732
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1733 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1734 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1735 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1736 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1737 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1738
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1739 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1740 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1741 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1742 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1743
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1744 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1745 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1746 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1747 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1748 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1749 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1750 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1751 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1752 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1753
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1754 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1755 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1756 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1757 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1758 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1759
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1760 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1761 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1762
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1763 // -*- 11 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1764 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1765 xpow (const FloatComplexMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1766 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1767 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1768
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1769 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1770 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1771
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1772 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1773 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1774 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1775 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1776 if (static_cast<int> (b) == b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1777 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1778 int btmp = static_cast<int> (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1779 if (btmp == 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1780 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1781 retval = FloatDiagMatrix (nr, nr, 1.0);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1782 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1783 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1784 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1785 // Too much copying?
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1786 // FIXME -- we shouldn't do this if the exponent is
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1787 // large...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1788
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1789 FloatComplexMatrix atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1790 if (btmp < 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1791 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1792 btmp = -btmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1793
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1794 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1795 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1796 MatrixType mattype (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1797
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1798 atmp = a.inverse (mattype, info, rcond, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1799
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1800 if (info == -1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1801 warning ("inverse: matrix singular to machine\
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1802 precision, rcond = %g", rcond);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1803 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1804 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1805 atmp = a;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1806
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1807 FloatComplexMatrix result (atmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1808
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1809 btmp--;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1810
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1811 while (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1812 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1813 if (btmp & 1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1814 result = result * atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1815
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1816 btmp >>= 1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1817
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1818 if (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1819 atmp = atmp * atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1820 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1821
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1822 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1823 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1824 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1825 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1826 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1827 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1828
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1829 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1830 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1831 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1832 FloatComplexMatrix Q (a_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1833
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1834 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1835 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1836
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1837 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1838
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1839 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1840 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1841 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1842 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1843 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1844 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1845
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1846 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1847 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1848
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1849 // -*- 12 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1850 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1851 xpow (const FloatComplexMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1852 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1853 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1854
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1855 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1856 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1857
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1858 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1859 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1860 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1861 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1862 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1863
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1864 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1865 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1866 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1867 FloatComplexMatrix Q (a_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1868
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1869 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1870 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1871
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1872 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1873
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1874 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1875 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1876 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1877 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1878 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1879
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1880 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1881 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1882
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1883 // -*- 12d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1884 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1885 xpow (const FloatComplexDiagMatrix& a, const FloatComplex& b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1886 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1887 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1888
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1889 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1890 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1891
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1892 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1893 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1894 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1895 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1896 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1897 for (octave_idx_type i = 0; i < nc; i++)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1898 r(i, i) = std::pow (a(i, i), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1899 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1900 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1901
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1902 return retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1903 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1904
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1905 // mixed
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1906 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1907 xpow (const FloatComplexDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1908 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1909 return xpow (a, static_cast<FloatComplex> (b));
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1910 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1911
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1912 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1913 xpow (const FloatDiagMatrix& a, const FloatComplex& b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1914 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1915 return xpow (FloatComplexDiagMatrix (a), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1916 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1917
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1918 // Safer pow functions that work elementwise for matrices.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1919 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1920 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1921 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1922 // scalar | | * | 3 | * | 9 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1923 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1924 // matrix | 1 | 4 | 7 | 10 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1925 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1926 // complex_scalar | * | 5 | * | 11 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1927 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1928 // complex_matrix | 2 | 6 | 8 | 12 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1929 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1930 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1931 // * -> not needed.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1932
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1933 // FIXME -- these functions need to be fixed so that things
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1934 // like
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1935 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1936 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1937 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1938 // and
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1939 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1940 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1941 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1942 // produce identical results. Also, it would be nice if -1^0.5
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1943 // produced a pure imaginary result instead of a complex number with a
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1944 // small real part. But perhaps that's really a problem with the math
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1945 // library...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1946
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1947 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1948 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1949 elem_xpow (float a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1950 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1951 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1952
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1953 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1954 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1955
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1956 float d1, d2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1957
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1958 if (a < 0.0 && ! b.all_integers (d1, d2))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1959 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1960 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1961 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1962
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1963 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1964 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1965 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1966 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1967 result (i, j) = std::pow (atmp, b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1968 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1969
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1970 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1971 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1972 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1973 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1974 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1975
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1976 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1977 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1978 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1979 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1980 result (i, j) = std::pow (a, b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1981 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1982
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1983 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1984 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1985
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1986 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1987 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1988
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1989 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1990 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1991 elem_xpow (float a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1992 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1993 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1994 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1995
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1996 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1997 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1998
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1999 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2000 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2001 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2002 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2003 result (i, j) = std::pow (atmp, b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2004 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2005
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2006 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2007 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2008
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2009 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2010 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2011 elem_xpow (const FloatMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2012 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2013 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2014
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2015 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2016 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2017
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2018 if (! xisint (b) && a.any_element_is_negative ())
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2019 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2020 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2021
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2022 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2023 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2024 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2025 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2026
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2027 FloatComplex atmp (a (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2028
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2029 result (i, j) = std::pow (atmp, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2030 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2031
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2032 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2033 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2034 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2035 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2036 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2037
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2038 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2039 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2040 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2041 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2042 result (i, j) = std::pow (a (i, j), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2043 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2044
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2045 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2046 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2047
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2048 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2049 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2050
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2051 // -*- 4 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2052 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2053 elem_xpow (const FloatMatrix& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2054 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2055 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2056
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2057 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2058 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2059
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2060 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2061 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2062
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2063 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2064 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2065 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2066 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2067 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2068
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2069 int convert_to_complex = 0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2070 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2071 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2072 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2073 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2074 float atmp = a (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2075 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2076 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2077 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2078 convert_to_complex = 1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2079 goto done;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2080 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2081 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2082
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2083 done:
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2084
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2085 if (convert_to_complex)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2086 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2087 FloatComplexMatrix complex_result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2088
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2089 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2090 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2091 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2092 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2093 FloatComplex atmp (a (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2094 FloatComplex btmp (b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2095 complex_result (i, j) = std::pow (atmp, btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2096 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2097
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2098 retval = complex_result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2099 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2100 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2101 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2102 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2103
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2104 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2105 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2106 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2107 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2108 result (i, j) = std::pow (a (i, j), b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2109 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2110
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2111 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2112 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2113
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2114 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2115 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2116
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2117 // -*- 5 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2118 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2119 elem_xpow (const FloatMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2120 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2121 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2122 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2123
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2124 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2125
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2126 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2127 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2128 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2129 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2130 result (i, j) = std::pow (FloatComplex (a (i, j)), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2131 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2132
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2133 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2134 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2135
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2136 // -*- 6 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2137 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2138 elem_xpow (const FloatMatrix& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2139 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2140 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2141 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2142
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2143 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2144 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2145
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2146 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2147 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2148 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2149 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2150 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2151
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2152 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2153
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2154 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2155 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2156 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2157 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2158 result (i, j) = std::pow (FloatComplex (a (i, j)), b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2159 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2160
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2161 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2162 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2163
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2164 // -*- 7 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2165 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2166 elem_xpow (const FloatComplex& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2167 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2168 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2169 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2170
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2171 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2172
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2173 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2174 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2175 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2176 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2177 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2178 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2179 result (i, j) = std::pow (a, static_cast<int> (btmp));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2180 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2181 result (i, j) = std::pow (a, btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2182 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2183
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2184 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2185 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2186
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2187 // -*- 8 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2188 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2189 elem_xpow (const FloatComplex& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2190 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2191 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2192 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2193
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2194 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2195
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2196 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2197 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2198 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2199 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2200 result (i, j) = std::pow (a, b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2201 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2202
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2203 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2204 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2205
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2206 // -*- 9 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2207 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2208 elem_xpow (const FloatComplexMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2209 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2210 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2211 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2212
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2213 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2214
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2215 if (xisint (b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2216 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2217 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2218 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2219 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2220 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2221 result (i, j) = std::pow (a (i, j), static_cast<int> (b));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2222 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2223 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2224 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2225 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2226 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2227 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2228 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2229 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2230 result (i, j) = std::pow (a (i, j), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2231 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2232 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2233
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2234 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2235 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2236
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2237 // -*- 10 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2238 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2239 elem_xpow (const FloatComplexMatrix& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2240 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2241 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2242 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2243
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2244 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2245 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2246
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2247 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2248 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2249 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2250 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2251 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2252
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2253 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2254
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2255 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2256 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2257 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2258 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2259 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2260 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2261 result (i, j) = std::pow (a (i, j), static_cast<int> (btmp));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2262 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2263 result (i, j) = std::pow (a (i, j), btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2264 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2265
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2266 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2267 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2268
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2269 // -*- 11 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2270 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2271 elem_xpow (const FloatComplexMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2272 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2273 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2274 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2275
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2276 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2277
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2278 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2279 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2280 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2281 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2282 result (i, j) = std::pow (a (i, j), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2283 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2284
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2285 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2286 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2287
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2288 // -*- 12 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2289 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2290 elem_xpow (const FloatComplexMatrix& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2291 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2292 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2293 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2294
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2295 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2296 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2297
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2298 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2299 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2300 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2301 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2302 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2303
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2304 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2305
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2306 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2307 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2308 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2309 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2310 result (i, j) = std::pow (a (i, j), b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2311 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2312
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2313 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2314 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2315
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2316 // Safer pow functions that work elementwise for N-d arrays.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2317 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2318 // op2 \ op1: s nd cs cnd
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2319 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2320 // scalar | | * | 3 | * | 9 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2321 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2322 // N_d | 1 | 4 | 7 | 10 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2323 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2324 // complex_scalar | * | 5 | * | 11 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2325 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2326 // complex_N_d | 2 | 6 | 8 | 12 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2327 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2328 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2329 // * -> not needed.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2330
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2331 // FIXME -- these functions need to be fixed so that things
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2332 // like
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2333 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2334 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2335 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2336 // and
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2337 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2338 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2339 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2340 // produce identical results. Also, it would be nice if -1^0.5
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2341 // produced a pure imaginary result instead of a complex number with a
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2342 // small real part. But perhaps that's really a problem with the math
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2343 // library...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2344
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2345 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2346 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2347 elem_xpow (float a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2348 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2349 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2350
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2351 float d1, d2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2352
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2353 if (a < 0.0 && ! b.all_integers (d1, d2))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2354 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2355 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2356 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2357 for (octave_idx_type i = 0; i < b.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2358 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2359 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2360 result(i) = std::pow (atmp, b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2361 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2362
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2363 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2364 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2365 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2366 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2367 FloatNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2368 for (octave_idx_type i = 0; i < b.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2369 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2370 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2371 result (i) = std::pow (a, b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2372 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2373
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2374 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2375 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2376
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2377 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2378 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2379
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2380 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2381 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2382 elem_xpow (float a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2383 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2384 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2385 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2386
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2387 for (octave_idx_type i = 0; i < b.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2388 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2389 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2390 result(i) = std::pow (atmp, b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2391 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2392
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2393 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2394 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2395
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2396 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2397 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2398 elem_xpow (const FloatNDArray& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2399 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2400 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2401
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2402 if (! xisint (b))
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2403 {
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2404 if (a.any_element_is_negative ())
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2405 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2406 FloatComplexNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2407
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2408 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2409 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2410 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2411
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2412 FloatComplex atmp (a (i));
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2413
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2414 result(i) = std::pow (atmp, b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2415 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2416
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2417 retval = result;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2418 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2419 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2420 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2421 FloatNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2422 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2423 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2424 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2425 result(i) = std::pow (a(i), b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2426 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2427
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2428 retval = result;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2429 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2430 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2431 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2432 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2433 FloatNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2434
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2435 int ib = static_cast<int> (b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2436 if (ib == 2)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2437 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2438 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2439 result.xelem (i) = a(i) * a(i);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2440 }
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2441 else if (ib == -1)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2442 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2443 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2444 result.xelem (i) = 1.0f / a(i);
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2445 }
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2446 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2447 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2448 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2449 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2450 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2451 result(i) = std::pow (a(i), ib);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2452 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2453 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2454
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2455 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2456 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2457
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2458 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2459 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2460
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2461 // -*- 4 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2462 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2463 elem_xpow (const FloatNDArray& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2464 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2465 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2466
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2467 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2468 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2469
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2470 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2471 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2472 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2473 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2474 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2475
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2476 int len = a.length ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2477
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2478 bool convert_to_complex = false;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2479
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2480 for (octave_idx_type i = 0; i < len; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2481 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2482 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2483 float atmp = a(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2484 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2485 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2486 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2487 convert_to_complex = true;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2488 goto done;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2489 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2490 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2491
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2492 done:
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2493
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2494 if (convert_to_complex)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2495 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2496 FloatComplexNDArray complex_result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2497
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2498 for (octave_idx_type i = 0; i < len; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2499 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2500 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2501 FloatComplex atmp (a(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2502 FloatComplex btmp (b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2503 complex_result(i) = std::pow (atmp, btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2504 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2505
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2506 retval = complex_result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2507 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2508 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2509 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2510 FloatNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2511
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2512 for (octave_idx_type i = 0; i < len; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2513 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2514 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2515 result(i) = std::pow (a(i), b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2516 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2517
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2518 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2519 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2520
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2521 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2522 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2523
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2524 // -*- 5 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2525 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2526 elem_xpow (const FloatNDArray& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2527 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2528 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2529
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2530 for (octave_idx_type i = 0; i < a.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2531 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2532 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2533 result(i) = std::pow (FloatComplex (a(i)), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2534 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2535
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2536 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2537 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2538
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2539 // -*- 6 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2540 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2541 elem_xpow (const FloatNDArray& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2542 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2543 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2544 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2545
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2546 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2547 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2548 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2549 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2550 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2551
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2552 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2553
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2554 for (octave_idx_type i = 0; i < a.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2555 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2556 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2557 result(i) = std::pow (FloatComplex (a(i)), b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2558 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2559
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2560 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2561 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2562
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2563 // -*- 7 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2564 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2565 elem_xpow (const FloatComplex& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2566 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2567 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2568
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2569 for (octave_idx_type i = 0; i < b.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2570 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2571 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2572 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2573 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2574 result(i) = std::pow (a, static_cast<int> (btmp));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2575 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2576 result(i) = std::pow (a, btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2577 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2578
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2579 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2580 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2581
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2582 // -*- 8 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2583 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2584 elem_xpow (const FloatComplex& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2585 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2586 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2587
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2588 for (octave_idx_type i = 0; i < b.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2589 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2590 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2591 result(i) = std::pow (a, b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2592 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2593
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2594 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2595 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2596
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2597 // -*- 9 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2598 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2599 elem_xpow (const FloatComplexNDArray& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2600 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2601 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2602
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2603 if (xisint (b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2604 {
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2605 if (b == -1)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2606 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2607 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2608 result.xelem (i) = std::conj (a(i)) / std::norm (a(i));
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2609 }
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2610 else
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2611 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2612 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2613 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2614 OCTAVE_QUIT;
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2615 result(i) = std::pow (a(i), static_cast<int> (b));
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2616 }
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2617 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2618 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2619 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2620 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2621 for (octave_idx_type i = 0; i < a.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2622 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2623 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2624 result(i) = std::pow (a(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2625 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2626 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2627
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2628 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2629 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2630
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2631 // -*- 10 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2632 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2633 elem_xpow (const FloatComplexNDArray& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2634 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2635 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2636 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2637
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2638 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2639 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2640 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2641 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2642 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2643
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2644 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2645
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2646 for (octave_idx_type i = 0; i < a.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2647 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2648 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2649 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2650 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2651 result(i) = std::pow (a(i), static_cast<int> (btmp));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2652 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2653 result(i) = std::pow (a(i), btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2654 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2655
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2656 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2657 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2658
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2659 // -*- 11 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2660 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2661 elem_xpow (const FloatComplexNDArray& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2662 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2663 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2664
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2665 for (octave_idx_type i = 0; i < a.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2666 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2667 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2668 result(i) = std::pow (a(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2669 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2670
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2671 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2672 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2673
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2674 // -*- 12 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2675 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2676 elem_xpow (const FloatComplexNDArray& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2677 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2678 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2679 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2680
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2681 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2682 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2683 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2684 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2685 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2686
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2687 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2688
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2689 for (octave_idx_type i = 0; i < a.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2690 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2691 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2692 result(i) = std::pow (a(i), b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2693 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2694
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2695 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2696 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2697
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2698 /*
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2699 ;;; Local Variables: ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2700 ;;; mode: C++ ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2701 ;;; End: ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2702 */