octave: src/xpow.cc annotate

annotate src/xpow.cc @ 8920:eb63fbe60fab

update copyright notices

author	John W. Eaton <jwe@octave.org>
date	Sat, 07 Mar 2009 10:41:27 -0500
parents	9b20a4847056
children	6ccc12cc65ef

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"
3585 d9803711e047 [project @ 2000-02-08 04:35:39 by jwe] jwe parents: 3178 diff changeset	41 #include "mx-cm-cdm.h"
1651 e846e361a265 [project @ 1995-12-20 06:59:12 by jwe] jwe parents: 1580 diff changeset	42 #include "oct-cmplx.h"
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	43 #include "quit.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	44
19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	45 #include "error.h"
4055 7690958e7726 [project @ 2002-08-18 01:56:58 by jwe] jwe parents: 3585 diff changeset	46 #include "oct-obj.h"
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	47 #include "utils.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	48 #include "xpow.h"
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	49
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	50 #ifdef _OPENMP
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	51 #include <omp.h>
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	52 #endif
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	53
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	54 static inline int
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	55 xisint (double x)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	56 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	57 return (D_NINT (x) == x
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	58 && ((x >= 0 && x < INT_MAX)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	59 \|\| (x <= 0 && x > INT_MIN)));
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	60 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	61
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	62 // Safer pow functions.
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	63 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	64 // op2 \ op1: s m cs cm
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	65 // +-- +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	66 // scalar \| \| 1 \| 5 \| 7 \| 11 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	67 // +---+---+----+----+
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	68 // matrix \| 2 \| * \| 8 \| * \|
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	69 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	70 // complex_scalar \| 3 \| 6 \| 9 \| 12 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	71 // +---+---+----+----+
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	72 // complex_matrix \| 4 \| * \| 10 \| * \|
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	73 // +---+---+----+----+
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	74
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	75 // -- 1 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	76 octave_value
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	77 xpow (double a, double b)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	78 {
7543 b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	79 double retval;
b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	80
2800 9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe] jwe parents: 2365 diff changeset	81 if (a < 0.0 && static_cast<int> (b) != b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	82 {
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	83 Complex atmp (a);
4682 994f449a1eba [project @ 2003-12-19 15:37:14 by jwe] jwe parents: 4669 diff changeset	84
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	85 return std::pow (atmp, b);
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	86 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	87 else
7543 b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	88 retval = std::pow (a, b);
b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	89
b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	90 return retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	91 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	92
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	93 // -- 2 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	94 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	95 xpow (double a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	96 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	97 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	98
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	99 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	100 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	101
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	102 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	103 error ("for x^A, A must be square");
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	104 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	105 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	106 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	107
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	108 if (! error_state)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	109 {
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	110 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	111 ComplexMatrix Q (b_eig.eigenvectors ());
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	112
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	113 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	114 {
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	115 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	116 if (std::imag (elt) == 0.0)
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	117 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	118 else
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	119 lambda(i) = std::pow (a, elt);
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	120 }
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	121 ComplexDiagMatrix D (lambda);
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	122
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	123 retval = ComplexMatrix (Q * D * Q.inverse ());
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	124 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	125 else
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	126 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	127 }
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 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	130 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	131
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	132 // -- 3 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	133 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	134 xpow (double a, const Complex& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	135 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	136 Complex result;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	137 Complex atmp (a);
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	138 result = std::pow (atmp, b);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	139 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	140 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	141
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	142 // -- 4 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	143 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	144 xpow (double a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	145 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	146 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	147
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	148 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	149 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	150
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	151 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	152 error ("for x^A, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	153 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	154 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	155 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	156
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	157 if (! error_state)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	158 {
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	159 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	160 ComplexMatrix Q (b_eig.eigenvectors ());
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	161
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	162 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	163 {
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	164 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	165 if (std::imag (elt) == 0.0)
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	166 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	167 else
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	168 lambda(i) = std::pow (a, elt);
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	169 }
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	170 ComplexDiagMatrix D (lambda);
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	171
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	172 retval = ComplexMatrix (Q * D * Q.inverse ());
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	173 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	174 else
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	175 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	176 }
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 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	179 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	180
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	181 // -- 5 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	182 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	183 xpow (const Matrix& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	184 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	185 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	186
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	187 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	188 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	189
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	190 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	191 error ("for A^b, A must be square");
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	192 else
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	193 {
2800 9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe] jwe parents: 2365 diff changeset	194 if (static_cast<int> (b) == b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	195 {
2804 eedc2f3f61f7 [project @ 1997-03-11 04:34:50 by jwe] jwe parents: 2800 diff changeset	196 int btmp = static_cast<int> (b);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	197 if (btmp == 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	198 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	199 retval = DiagMatrix (nr, nr, 1.0);
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	200 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	201 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	202 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	203 // Too much copying?
5775 ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe] jwe parents: 5667 diff changeset	204 // 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	205 // large...
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	206
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	207 Matrix atmp;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	208 if (btmp < 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	209 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	210 btmp = -btmp;
1655 593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	211
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	212 octave_idx_type info;
1655 593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	213 double rcond = 0.0;
6207 3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman] dbateman parents: 5775 diff changeset	214 MatrixType mattype (a);
1655 593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	215
6207 3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman] dbateman parents: 5775 diff changeset	216 atmp = a.inverse (mattype, info, rcond, 1);
1655 593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	217
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	218 if (info == -1)
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	219 warning ("inverse: matrix singular to machine\
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	220 precision, rcond = %g", rcond);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	221 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	222 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	223 atmp = a;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	224
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	225 Matrix result (atmp);
3178 09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	226
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	227 btmp--;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	228
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	229 while (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	230 {
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	231 if (btmp & 1)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	232 result = result * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	233
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	234 btmp >>= 1;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	235
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	236 if (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	237 atmp = atmp * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	238 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	239
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	240 retval = result;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	241 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	242 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	243 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	244 {
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	245 EIG a_eig (a);
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	246
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	247 if (! error_state)
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	248 {
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	249 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	250 ComplexMatrix Q (a_eig.eigenvectors ());
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	251
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	252 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	253 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	254
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	255 ComplexDiagMatrix D (lambda);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	256
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	257 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	258 }
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	259 else
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	260 error ("xpow: matrix diagonalization failed");
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	261 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	262 }
1358 dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe] jwe parents: 1352 diff changeset	263
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	264 return retval;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	265 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	266
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	267 // -- 5d --
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	268 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	269 xpow (const DiagMatrix& a, double b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	270 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	271 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	272
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	273 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	274 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	275
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	276 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	277 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	278 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	279 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	280 if (static_cast<int> (b) == b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	281 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	282 DiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	283 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	284 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	285 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	286 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	287 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	288 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	289 ComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	290 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	291 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	292 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	293 }
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 return retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	297 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	298
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	299 // -- 6 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	300 octave_value
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	301 xpow (const Matrix& a, const Complex& b)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	302 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	303 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	304
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	305 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	306 octave_idx_type nc = a.cols ();
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	307
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	308 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	309 error ("for A^b, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	310 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	311 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	312 EIG a_eig (a);
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	313
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	314 if (! error_state)
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	315 {
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	316 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	317 ComplexMatrix Q (a_eig.eigenvectors ());
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	318
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	319 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	320 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	321
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	322 ComplexDiagMatrix D (lambda);
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	323
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	324 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	325 }
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	326 else
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	327 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	328 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	329
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	330 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	331 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	332
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	333 // -- 7 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	334 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	335 xpow (const Complex& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	336 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	337 Complex result;
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	338
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	339 if (xisint (b))
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	340 result = std::pow (a, static_cast<int> (b));
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	341 else
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	342 result = std::pow (a, b);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	343
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	344 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	345 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	346
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	347 // -- 8 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	348 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	349 xpow (const Complex& a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	350 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	351 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	352
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	353 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	354 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	355
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	356 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	357 error ("for x^A, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	358 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	359 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	360 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	361
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	362 if (! error_state)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	363 {
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	364 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	365 ComplexMatrix Q (b_eig.eigenvectors ());
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	366
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	367 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	368 {
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	369 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	370 if (std::imag (elt) == 0.0)
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	371 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	372 else
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	373 lambda(i) = std::pow (a, elt);
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	374 }
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	375 ComplexDiagMatrix D (lambda);
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	376
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	377 retval = ComplexMatrix (Q * D * Q.inverse ());
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	378 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	379 else
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	380 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	381 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	382
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	383 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	384 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	385
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	386 // -- 9 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	387 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	388 xpow (const Complex& a, const Complex& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	389 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	390 Complex result;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	391 result = std::pow (a, b);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	392 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	393 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	394
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	395 // -- 10 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	396 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	397 xpow (const Complex& a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	398 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	399 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	400
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	401 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	402 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	403
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	404 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	405 error ("for x^A, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	406 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	407 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	408 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	409
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	410 if (! error_state)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	411 {
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	412 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	413 ComplexMatrix Q (b_eig.eigenvectors ());
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	414
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	415 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	416 {
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	417 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	418 if (std::imag (elt) == 0.0)
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	419 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	420 else
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	421 lambda(i) = std::pow (a, elt);
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	422 }
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	423 ComplexDiagMatrix D (lambda);
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	424
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	425 retval = ComplexMatrix (Q * D * Q.inverse ());
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	426 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	427 else
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	428 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	429 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	430
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	431 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	432 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	433
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	434 // -- 11 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	435 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	436 xpow (const ComplexMatrix& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	437 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	438 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	439
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	440 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	441 octave_idx_type nc = a.cols ();
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 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	444 error ("for A^b, A must be square");
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	445 else
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	446 {
2800 9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe] jwe parents: 2365 diff changeset	447 if (static_cast<int> (b) == b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	448 {
2804 eedc2f3f61f7 [project @ 1997-03-11 04:34:50 by jwe] jwe parents: 2800 diff changeset	449 int btmp = static_cast<int> (b);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	450 if (btmp == 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	451 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	452 retval = DiagMatrix (nr, nr, 1.0);
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	453 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	454 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	455 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	456 // Too much copying?
5775 ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe] jwe parents: 5667 diff changeset	457 // 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	458 // large...
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	459
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	460 ComplexMatrix atmp;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	461 if (btmp < 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	462 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	463 btmp = -btmp;
1655 593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	464
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	465 octave_idx_type info;
1655 593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	466 double rcond = 0.0;
6207 3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman] dbateman parents: 5775 diff changeset	467 MatrixType mattype (a);
1655 593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	468
6207 3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman] dbateman parents: 5775 diff changeset	469 atmp = a.inverse (mattype, info, rcond, 1);
1655 593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	470
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	471 if (info == -1)
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	472 warning ("inverse: matrix singular to machine\
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	473 precision, rcond = %g", rcond);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	474 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	475 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	476 atmp = a;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	477
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	478 ComplexMatrix result (atmp);
3178 09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	479
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	480 btmp--;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	481
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	482 while (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	483 {
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	484 if (btmp & 1)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	485 result = result * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	486
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	487 btmp >>= 1;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	488
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	489 if (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	490 atmp = atmp * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe] jwe parents: 3162 diff changeset	491 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	492
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	493 retval = result;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	494 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	495 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	496 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	497 {
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	498 EIG a_eig (a);
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	499
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	500 if (! error_state)
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	501 {
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	502 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	503 ComplexMatrix Q (a_eig.eigenvectors ());
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	504
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	505 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	506 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	507
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	508 ComplexDiagMatrix D (lambda);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	509
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	510 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	511 }
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	512 else
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	513 error ("xpow: matrix diagonalization failed");
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	514 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	515 }
1358 dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe] jwe parents: 1352 diff changeset	516
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	517 return retval;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	518 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	519
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	520 // -- 12 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	521 octave_value
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	522 xpow (const ComplexMatrix& a, const Complex& b)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	523 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	524 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	525
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	526 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	527 octave_idx_type nc = a.cols ();
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	528
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	529 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	530 error ("for A^b, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	531 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	532 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	533 EIG a_eig (a);
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	534
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	535 if (! error_state)
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	536 {
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	537 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	538 ComplexMatrix Q (a_eig.eigenvectors ());
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	539
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	540 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	541 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	542
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	543 ComplexDiagMatrix D (lambda);
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	544
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	545 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	546 }
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	547 else
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	548 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	549 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	550
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	551 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	552 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	553
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	554 // -- 12d --
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	555 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	556 xpow (const ComplexDiagMatrix& a, const Complex& b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	557 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	558 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	559
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	560 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	561 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	562
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	563 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	564 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	565 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	566 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	567 ComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	568 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	569 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	570 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	571 }
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 return retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	574 }
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 // mixed
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	577 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	578 xpow (const ComplexDiagMatrix& a, double b)
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 return xpow (a, static_cast<Complex> (b));
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	581 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	582
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	583 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	584 xpow (const DiagMatrix& a, const Complex& b)
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 xpow (ComplexDiagMatrix (a), b);
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
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	590 // Safer pow functions that work elementwise for matrices.
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	591 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	592 // op2 \ op1: s m cs cm
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	593 // +-- +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	594 // scalar \| \| * \| 3 \| * \| 9 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	595 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	596 // matrix \| 1 \| 4 \| 7 \| 10 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	597 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	598 // complex_scalar \| * \| 5 \| * \| 11 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	599 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	600 // complex_matrix \| 2 \| 6 \| 8 \| 12 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	601 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	602 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	603 // * -> not needed.
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	604
5775 ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe] jwe parents: 5667 diff changeset	605 // 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	606 // like
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	607 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	608 // 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	609 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	610 // and
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	611 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	612 // 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	613 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	614 // 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	615 // 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	616 // 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	617 // library...
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	618
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	619 // -- 1 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	620 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	621 elem_xpow (double a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	622 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	623 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	624
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	625 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	626 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	627
3162 7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	628 double d1, d2;
1358 dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe] jwe parents: 1352 diff changeset	629
3162 7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	630 if (a < 0.0 && ! b.all_integers (d1, d2))
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	631 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	632 Complex atmp (a);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	633 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	634
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	635 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	636 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	637 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	638 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	639 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	640 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	641
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	642 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	643 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	644 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	645 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	646 Matrix 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 (a, 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
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	658 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	659 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	660
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	661 // -- 2 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	662 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	663 elem_xpow (double a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	664 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	665 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	666 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	667
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	668 ComplexMatrix result (nr, nc);
3125 dcc6c985d72d [project @ 1998-01-16 05:08:21 by jwe] jwe parents: 2847 diff changeset	669 Complex atmp (a);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	670
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	671 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	672 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	673 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	674 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	675 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	676 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	677
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	678 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	679 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	680
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	681 // -- 3 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	682 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	683 elem_xpow (const Matrix& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	684 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	685 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	686
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	687 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	688 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	689
2800 9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe] jwe parents: 2365 diff changeset	690 if (static_cast<int> (b) != b && a.any_element_is_negative ())
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	691 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	692 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	693
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	694 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	695 for (octave_idx_type i = 0; i < nr; i++)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	696 {
5665 d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	697 OCTAVE_QUIT;
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	698
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	699 Complex atmp (a (i, j));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	700
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	701 result (i, j) = std::pow (atmp, b);
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	702 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	703
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	704 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	705 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	706 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	707 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	708 Matrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	709
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	710 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	711 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	712 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	713 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	714 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	715 }
1 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
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	720 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	721 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	722
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	723 // -- 4 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	724 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	725 elem_xpow (const Matrix& a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	726 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	727 octave_value retval;
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	728
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	729 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	730 octave_idx_type nc = a.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	731
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	732 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	733 octave_idx_type b_nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	734
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	735 if (nr != b_nr \|\| nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	736 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	737 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	738 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	739 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	740
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	741 int convert_to_complex = 0;
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	742 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	743 for (octave_idx_type i = 0; i < nr; i++)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	744 {
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	745 OCTAVE_QUIT;
2305 5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe] jwe parents: 2086 diff changeset	746 double atmp = a (i, j);
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe] jwe parents: 2086 diff changeset	747 double btmp = b (i, j);
2800 9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe] jwe parents: 2365 diff changeset	748 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	749 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	750 convert_to_complex = 1;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	751 goto done;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	752 }
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
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	755 done:
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	756
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	757 if (convert_to_complex)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	758 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	759 ComplexMatrix complex_result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	760
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	761 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	762 for (octave_idx_type i = 0; i < nr; i++)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	763 {
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	764 OCTAVE_QUIT;
5665 d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	765 Complex atmp (a (i, j));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	766 Complex btmp (b (i, j));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	767 complex_result (i, j) = std::pow (atmp, btmp);
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	768 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	769
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	770 retval = complex_result;
1 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 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	773 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	774 Matrix result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	775
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	776 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	777 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	778 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	779 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	780 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	781 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	782
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	783 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	784 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	785
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	786 return retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	787 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	788
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	789 // -- 5 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	790 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	791 elem_xpow (const Matrix& a, const Complex& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	792 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	793 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	794 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	795
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	796 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	797
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	798 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	799 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	800 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	801 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	802 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	803 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	804
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	805 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	806 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	807
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	808 // -- 6 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	809 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	810 elem_xpow (const Matrix& a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	811 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	812 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	813 octave_idx_type nc = a.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	814
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	815 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	816 octave_idx_type b_nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	817
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	818 if (nr != b_nr \|\| nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	819 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	820 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	821 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	822 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	823
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	824 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	825
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	826 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	827 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	828 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	829 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	830 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	831 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	832
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	833 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	834 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	835
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	836 // -- 7 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	837 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	838 elem_xpow (const Complex& a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	839 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	840 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	841 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	842
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	843 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	844
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	845 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	846 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	847 {
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	848 OCTAVE_QUIT;
2305 5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe] jwe parents: 2086 diff changeset	849 double btmp = b (i, j);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	850 if (xisint (btmp))
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	851 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	852 else
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	853 result (i, j) = std::pow (a, btmp);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	854 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	855
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	856 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	857 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	858
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	859 // -- 8 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	860 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	861 elem_xpow (const Complex& a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	862 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	863 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	864 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	865
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	866 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	867
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	868 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	869 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	870 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	871 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	872 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	873 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	874
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	875 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	876 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	877
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	878 // -- 9 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	879 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	880 elem_xpow (const ComplexMatrix& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	881 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	882 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	883 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	884
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	885 ComplexMatrix result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	886
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	887 if (xisint (b))
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	888 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	889 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	890 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	891 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	892 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	893 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	894 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	895 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	896 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	897 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	898 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	899 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	900 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	901 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	902 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	903 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	904 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	905
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	906 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	907 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	908
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	909 // -- 10 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	910 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	911 elem_xpow (const ComplexMatrix& a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	912 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	913 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	914 octave_idx_type nc = a.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	915
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	916 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	917 octave_idx_type b_nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	918
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	919 if (nr != b_nr \|\| nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	920 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	921 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	922 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	923 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	924
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	925 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	926
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	927 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	928 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	929 {
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	930 OCTAVE_QUIT;
2305 5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe] jwe parents: 2086 diff changeset	931 double btmp = b (i, j);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	932 if (xisint (btmp))
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	933 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	934 else
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	935 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	936 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	937
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	938 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	939 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	940
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	941 // -- 11 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	942 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	943 elem_xpow (const ComplexMatrix& a, const Complex& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	944 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	945 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	946 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	947
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	948 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	949
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	950 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	951 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	952 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	953 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	954 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	955 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	956
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	957 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	958 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	959
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	960 // -- 12 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	961 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	962 elem_xpow (const ComplexMatrix& a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	963 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	964 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	965 octave_idx_type nc = a.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	966
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	967 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	968 octave_idx_type b_nc = b.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	969
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	970 if (nr != b_nr \|\| nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	971 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	972 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	973 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	974 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	975
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	976 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	977
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	978 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	979 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	980 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	981 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	982 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	983 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	984
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	985 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	986 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	987
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	988 // 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	989 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	990 // op2 \ op1: s nd cs cnd
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	991 // +-- +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	992 // scalar \| \| * \| 3 \| * \| 9 \|
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	993 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	994 // N_d \| 1 \| 4 \| 7 \| 10 \|
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	995 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	996 // complex_scalar \| * \| 5 \| * \| 11 \|
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	997 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	998 // complex_N_d \| 2 \| 6 \| 8 \| 12 \|
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	999 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1000 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1001 // * -> not needed.
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1002
5775 ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe] jwe parents: 5667 diff changeset	1003 // 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	1004 // like
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1005 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1006 // 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	1007 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1008 // and
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1009 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1010 // 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	1011 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1012 // 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	1013 // 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	1014 // 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	1015 // library...
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1016
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1017 // -- 1 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1018 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1019 elem_xpow (double a, const NDArray& 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 octave_value retval;
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 double d1, d2;
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 if (a < 0.0 && ! b.all_integers (d1, d2))
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1026 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1027 Complex atmp (a);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1028 ComplexNDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1029 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	1030 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1031 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1032 result(i) = std::pow (atmp, b(i));
4543 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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1035 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1036 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1037 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1038 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1039 NDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1040 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	1041 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1042 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1043 result (i) = std::pow (a, b(i));
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1044 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1045
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1046 retval = result;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1049 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1050 }
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 // -- 2 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1053 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1054 elem_xpow (double a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1055 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1056 ComplexNDArray result (b.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1057 Complex atmp (a);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1058
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1059 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	1060 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1061 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1062 result(i) = std::pow (atmp, b(i));
4543 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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1066 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1067
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1068 // -- 3 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1069 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1070 elem_xpow (const NDArray& a, double b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1071 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1072 octave_value retval;
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 if (static_cast<int> (b) != b && a.any_element_is_negative ())
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1075 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1076 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1077
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1078 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	1079 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1080 OCTAVE_QUIT;
5665 d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	1081
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	1082 Complex atmp (a (i));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	1083
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	1084 result(i) = std::pow (atmp, b);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1085 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1086
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1087 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1088 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1089 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1090 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1091 NDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1092
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1093 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	1094 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1095 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1096 result(i) = std::pow (a(i), b);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1097 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1098
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1099 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1100 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1101
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1102 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1103 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1104
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1105 // -- 4 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1106 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1107 elem_xpow (const NDArray& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1108 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1109 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1110
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1111 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1112 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1113
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1114 if (a_dims != b_dims)
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 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1117 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1118 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1119
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1120 int len = a.length ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1121
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1122 bool convert_to_complex = false;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1123
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1124 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	1125 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1126 OCTAVE_QUIT;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1127 double atmp = a(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1128 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1129 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1130 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1131 convert_to_complex = true;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1132 goto done;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1133 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1134 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1135
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1136 done:
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1137
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1138 if (convert_to_complex)
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 ComplexNDArray complex_result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1141
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1142 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	1143 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1144 OCTAVE_QUIT;
5665 d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	1145 Complex atmp (a(i));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	1146 Complex btmp (b(i));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	1147 complex_result(i) = std::pow (atmp, btmp);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1148 }
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 retval = complex_result;
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 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1153 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1154 NDArray result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1155
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1156 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	1157 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1158 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1159 result(i) = std::pow (a(i), b(i));
4543 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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1162 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1163 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1164
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1165 return retval;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1168 // -- 5 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1169 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1170 elem_xpow (const NDArray& a, const Complex& b)
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 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1173
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1174 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	1175 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1176 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1177 result(i) = std::pow (Complex (a(i)), b);
4543 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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1180 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1181 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1182
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1183 // -- 6 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1184 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1185 elem_xpow (const NDArray& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1186 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1187 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1188 dim_vector b_dims = b.dims ();
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 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1191 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1192 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1193 return octave_value ();
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1196 ComplexNDArray result (a_dims);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1197
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1198 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	1199 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1200 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1201 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	1202 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1203
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1204 return result;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1207 // -- 7 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1208 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1209 elem_xpow (const Complex& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1210 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1211 ComplexNDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1212
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1213 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	1214 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1215 OCTAVE_QUIT;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1216 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1217 if (xisint (btmp))
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1218 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	1219 else
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1220 result(i) = std::pow (a, btmp);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1221 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1224 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1225
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1226 // -- 8 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1227 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1228 elem_xpow (const Complex& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1229 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1230 ComplexNDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1231
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1232 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	1233 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1234 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1235 result(i) = std::pow (a, b(i));
4543 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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1238 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1239 }
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 // -- 9 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1242 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1243 elem_xpow (const ComplexNDArray& a, double b)
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 ComplexNDArray result (a.dims ());
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 if (xisint (b))
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1248 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1249 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	1250 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1251 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1252 result(i) = std::pow (a(i), static_cast<int> (b));
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1253 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1254 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1255 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1256 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1257 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	1258 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1259 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1260 result(i) = std::pow (a(i), b);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1261 }
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 // -- 10 --
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 ComplexNDArray& a, const NDArray& 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 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1272 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1273
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1274 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1275 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1276 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1277 return octave_value ();
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1280 ComplexNDArray result (a_dims);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1281
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1282 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	1283 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1284 OCTAVE_QUIT;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1285 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1286 if (xisint (btmp))
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1287 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	1288 else
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1289 result(i) = std::pow (a(i), btmp);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1290 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1291
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1292 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1293 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1294
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1295 // -- 11 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1296 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1297 elem_xpow (const ComplexNDArray& a, const Complex& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1298 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1299 ComplexNDArray result (a.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1300
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1301 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	1302 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1303 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1304 result(i) = std::pow (a(i), b);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1305 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1306
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1307 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1308 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1309
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1310 // -- 12 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1311 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1312 elem_xpow (const ComplexNDArray& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1313 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1314 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1315 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1316
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1317 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1318 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1319 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1320 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1321 }
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 ComplexNDArray result (a_dims);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1324
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1325 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	1326 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1327 OCTAVE_QUIT;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1328 result(i) = std::pow (a(i), b(i));
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1329 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1330
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1331 return result;
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
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1334 static inline int
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1335 xisint (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1336 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1337 return (D_NINT (x) == x
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1338 && ((x >= 0 && x < INT_MAX)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1339 \|\| (x <= 0 && x > INT_MIN)));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1340 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1341
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1342 // Safer pow functions.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1343 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1344 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1345 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1346 // scalar \| \| 1 \| 5 \| 7 \| 11 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1347 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1348 // matrix \| 2 \| * \| 8 \| * \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1349 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1350 // complex_scalar \| 3 \| 6 \| 9 \| 12 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1351 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1352 // complex_matrix \| 4 \| * \| 10 \| * \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1353 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1354
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1355 // -- 1 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1356 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1357 xpow (float a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1358 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1359 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1360
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1361 if (a < 0.0 && static_cast<int> (b) != b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1362 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1363 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1364
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1365 return std::pow (atmp, b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1366 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1367 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1368 retval = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1369
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1370 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1371 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1372
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1373 // -- 2 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1374 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1375 xpow (float a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1376 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1377 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1378
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1379 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1380 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1381
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1382 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1383 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1384 else
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 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1387
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1388 if (! error_state)
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 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1391 FloatComplexMatrix Q (b_eig.eigenvectors ());
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 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	1394 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1395 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1396 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1397 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1398 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1399 lambda(i) = std::pow (a, elt);
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 FloatComplexDiagMatrix D (lambda);
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 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1404 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1405 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1406 error ("xpow: matrix diagonalization failed");
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1409 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1410 }
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 // -- 3 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1413 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1414 xpow (float a, const FloatComplex& 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 FloatComplex result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1417 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1418 result = std::pow (atmp, b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1419 return result;
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 // -- 4 --
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 FloatComplexMatrix& 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 // -- 5 --
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 (const FloatMatrix& a, float 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 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1466
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1467 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1468 octave_idx_type nc = a.cols ();
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 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1471 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1472 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1473 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1474 if (static_cast<int> (b) == b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1475 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1476 int btmp = static_cast<int> (b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1477 if (btmp == 0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1478 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1479 retval = FloatDiagMatrix (nr, nr, 1.0);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1480 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1481 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1482 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1483 // Too much copying?
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1484 // 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	1485 // large...
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1486
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1487 FloatMatrix atmp;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1488 if (btmp < 0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1489 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1490 btmp = -btmp;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1491
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1492 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1493 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1494 MatrixType mattype (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1495
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1496 atmp = a.inverse (mattype, info, rcond, 1);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1497
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1498 if (info == -1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1499 warning ("inverse: matrix singular to machine\
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1500 precision, rcond = %g", rcond);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1501 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1502 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1503 atmp = a;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1504
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1505 FloatMatrix result (atmp);
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 btmp--;
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 while (btmp > 0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1510 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1511 if (btmp & 1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1512 result = result * atmp;
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 btmp >>= 1;
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 if (btmp > 0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1517 atmp = atmp * atmp;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1520 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1521 }
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 else
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 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1526
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1527 if (! error_state)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1528 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1529 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1530 FloatComplexMatrix Q (a_eig.eigenvectors ());
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 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	1533 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1534
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1535 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1536
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1537 retval = FloatComplexMatrix (Q * D * Q.inverse ());
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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1540 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1541 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1542 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1543
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1544 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1545 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1546
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1547 // -- 5d --
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1548 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1549 xpow (const FloatDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1550 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1551 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1552
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1553 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1554 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1555
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1556 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1557 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1558 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1559 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1560 if (static_cast<int> (b) == b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1561 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1562 FloatDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1563 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	1564 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	1565 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1566 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1567 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1568 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1569 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1570 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	1571 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	1572 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1573 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1574 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1575
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1576 return retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1577 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1578
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1579 // -- 6 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1580 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1581 xpow (const FloatMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1582 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1583 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1584
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1585 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1586 octave_idx_type nc = a.cols ();
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 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1589 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1590 else
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 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1593
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1594 if (! error_state)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1595 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1596 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1597 FloatComplexMatrix Q (a_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1598
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1599 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	1600 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1601
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1602 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1603
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1604 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1605 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1606 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1607 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1608 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1609
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1610 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1611 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1612
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1613 // -- 7 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1614 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1615 xpow (const FloatComplex& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1616 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1617 FloatComplex result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1618
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1619 if (xisint (b))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1620 result = std::pow (a, static_cast<int> (b));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1621 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1622 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1623
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1624 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1625 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1626
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1627 // -- 8 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1628 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1629 xpow (const FloatComplex& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1630 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1631 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1632
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1633 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1634 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1635
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1636 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1637 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1638 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1639 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1640 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1641
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1642 if (! error_state)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1643 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1644 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1645 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1646
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1647 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	1648 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1649 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1650 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1651 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1652 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1653 lambda(i) = std::pow (a, elt);
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 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1656
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1657 retval = FloatComplexMatrix (Q * D * Q.inverse ());
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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1660 error ("xpow: matrix diagonalization failed");
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1663 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1664 }
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 // -- 9 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1667 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1668 xpow (const FloatComplex& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1669 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1670 FloatComplex result;
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1673 }
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 // -- 10 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1676 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1677 xpow (const FloatComplex& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1678 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1679 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1680
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1681 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1682 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1683
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1684 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1685 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1686 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1687 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1688 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1689
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1690 if (! error_state)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1691 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1692 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1693 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1694
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1695 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	1696 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1697 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1698 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1699 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1700 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1701 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1702 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1703 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1704
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1705 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1706 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1707 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1708 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1709 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1712 }
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 // -- 11 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1715 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1716 xpow (const FloatComplexMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1717 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1718 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1719
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1720 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1721 octave_idx_type nc = a.cols ();
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 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1724 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1725 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1726 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1727 if (static_cast<int> (b) == b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1728 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1729 int btmp = static_cast<int> (b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1730 if (btmp == 0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1731 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1732 retval = FloatDiagMatrix (nr, nr, 1.0);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1733 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1734 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1735 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1736 // Too much copying?
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1737 // 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	1738 // large...
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1739
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1740 FloatComplexMatrix atmp;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1741 if (btmp < 0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1742 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1743 btmp = -btmp;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1744
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1745 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1746 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1747 MatrixType mattype (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1748
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1749 atmp = a.inverse (mattype, info, rcond, 1);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1750
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1751 if (info == -1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1752 warning ("inverse: matrix singular to machine\
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1753 precision, rcond = %g", rcond);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1754 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1755 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1756 atmp = a;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1757
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1758 FloatComplexMatrix result (atmp);
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 btmp--;
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 while (btmp > 0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1763 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1764 if (btmp & 1)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1765 result = result * atmp;
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 btmp >>= 1;
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 if (btmp > 0)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1770 atmp = atmp * atmp;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1773 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1774 }
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 else
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 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1779
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1780 if (! error_state)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1781 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1782 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1783 FloatComplexMatrix Q (a_eig.eigenvectors ());
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 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	1786 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1787
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1788 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1789
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1790 retval = FloatComplexMatrix (Q * D * Q.inverse ());
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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1793 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1794 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1795 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1796
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1797 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1798 }
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 // -- 12 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1801 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1802 xpow (const FloatComplexMatrix& a, const FloatComplex& b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1805
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1806 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1807 octave_idx_type nc = a.cols ();
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 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1810 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1811 else
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 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1814
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1815 if (! error_state)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1816 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1817 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1818 FloatComplexMatrix Q (a_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1819
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1820 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	1821 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1822
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1823 FloatComplexDiagMatrix D (lambda);
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 retval = FloatComplexMatrix (Q * D * Q.inverse ());
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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1828 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1829 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1832 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1833
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1834 // -- 12d --
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1835 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1836 xpow (const FloatComplexDiagMatrix& a, const FloatComplex& b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1837 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1838 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1839
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1840 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1841 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1842
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1843 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1844 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1845 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1846 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1847 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1848 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	1849 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	1850 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1851 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1852
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1853 return retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1854 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1855
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1856 // mixed
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1857 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1858 xpow (const FloatComplexDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1859 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1860 return xpow (a, static_cast<FloatComplex> (b));
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1861 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1862
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1863 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1864 xpow (const FloatDiagMatrix& a, const FloatComplex& b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1865 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1866 return xpow (FloatComplexDiagMatrix (a), b);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1867 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1868
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1869 // Safer pow functions that work elementwise for matrices.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1870 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1871 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1872 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1873 // scalar \| \| * \| 3 \| * \| 9 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1874 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1875 // matrix \| 1 \| 4 \| 7 \| 10 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1876 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1877 // complex_scalar \| * \| 5 \| * \| 11 \|
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 // complex_matrix \| 2 \| 6 \| 8 \| 12 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1880 // +---+---+----+----+
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 // * -> not needed.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1883
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1884 // 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	1885 // like
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1886 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1887 // 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	1888 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1889 // and
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1890 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1891 // 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	1892 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1893 // 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	1894 // 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	1895 // 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	1896 // library...
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1897
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1898 // -- 1 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1899 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1900 elem_xpow (float a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1901 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1902 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1903
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1904 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1905 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1906
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1907 float d1, d2;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1908
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1909 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	1910 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1911 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1912 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1913
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1914 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	1915 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	1916 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1917 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1918 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	1919 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1920
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1921 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1922 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1923 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1924 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1925 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1926
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1927 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	1928 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	1929 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1930 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1931 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	1932 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1933
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1934 retval = result;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1937 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1938 }
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 // -- 2 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1941 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1942 elem_xpow (float a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1943 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1944 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1945 octave_idx_type nc = b.cols ();
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 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1948 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1949
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1950 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	1951 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	1952 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1953 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1954 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	1955 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1956
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1957 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1958 }
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 // -- 3 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1961 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1962 elem_xpow (const FloatMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1963 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1964 octave_value retval;
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_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1967 octave_idx_type nc = a.cols ();
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 if (static_cast<int> (b) != b && a.any_element_is_negative ())
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1970 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1971 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1972
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1973 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	1974 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	1975 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1976 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1977
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1978 FloatComplex atmp (a (i, j));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1979
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1980 result (i, j) = std::pow (atmp, b);
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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1986 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1987 FloatMatrix result (nr, nc);
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 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	1990 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	1991 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1992 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1993 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	1994 }
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 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1997 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2000 }
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 // -- 4 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2003 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2004 elem_xpow (const FloatMatrix& a, const FloatMatrix& b)
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 octave_value retval;
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 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2009 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2010
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2011 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2012 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2013
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2014 if (nr != b_nr \|\| nc != b_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2015 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2016 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	2017 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2018 }
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 int convert_to_complex = 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2021 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	2022 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	2023 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2024 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2025 float atmp = a (i, j);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2026 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2027 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	2028 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2029 convert_to_complex = 1;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2030 goto done;
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 }
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 done:
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 if (convert_to_complex)
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 FloatComplexMatrix complex_result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2039
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2040 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	2041 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	2042 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2043 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2044 FloatComplex atmp (a (i, j));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2045 FloatComplex btmp (b (i, j));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2046 complex_result (i, j) = std::pow (atmp, btmp);
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2049 retval = complex_result;
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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2052 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2053 FloatMatrix result (nr, nc);
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 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	2056 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	2057 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2058 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2059 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	2060 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2061
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2062 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2063 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2066 }
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 // -- 5 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2069 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2070 elem_xpow (const FloatMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2071 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2072 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2073 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2074
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2075 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2076
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2077 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	2078 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	2079 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2080 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2081 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	2082 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2083
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2084 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2085 }
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 // -- 6 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2088 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2089 elem_xpow (const FloatMatrix& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2090 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2091 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2092 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2093
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2094 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2095 octave_idx_type b_nc = b.cols ();
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 if (nr != b_nr \|\| nc != b_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2098 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2099 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	2100 return octave_value ();
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2103 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2104
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2105 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	2106 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	2107 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2108 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2109 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	2110 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2111
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2112 return result;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2115 // -- 7 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2116 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2117 elem_xpow (const FloatComplex& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2118 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2119 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2120 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2121
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2122 FloatComplexMatrix result (nr, nc);
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 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	2125 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	2126 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2127 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2128 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2129 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2130 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	2131 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2132 result (i, j) = std::pow (a, btmp);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2133 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2136 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2137
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2138 // -- 8 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2139 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2140 elem_xpow (const FloatComplex& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2141 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2142 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2143 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2144
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2145 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2146
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2147 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	2148 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	2149 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2150 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2151 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	2152 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2155 }
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 // -- 9 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2158 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2159 elem_xpow (const FloatComplexMatrix& a, float b)
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 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2162 octave_idx_type nc = a.cols ();
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 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2165
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2166 if (xisint (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 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	2169 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	2170 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2171 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2172 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	2173 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2174 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2175 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2176 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2177 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	2178 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	2179 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2180 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2181 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	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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2185 return result;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2188 // -- 10 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2189 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2190 elem_xpow (const FloatComplexMatrix& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2191 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2192 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2193 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2194
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2195 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2196 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2197
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2198 if (nr != b_nr \|\| nc != b_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2199 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2200 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	2201 return octave_value ();
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2204 FloatComplexMatrix result (nr, nc);
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 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	2207 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	2208 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2209 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2210 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2211 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2212 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	2213 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2214 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	2215 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2218 }
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 // -- 11 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2221 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2222 elem_xpow (const FloatComplexMatrix& a, const FloatComplex& b)
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 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2225 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2226
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2227 FloatComplexMatrix result (nr, nc);
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 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	2230 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	2231 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2232 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2233 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	2234 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2237 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2238
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2239 // -- 12 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2240 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2241 elem_xpow (const FloatComplexMatrix& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2242 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2243 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2244 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2245
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2246 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2247 octave_idx_type b_nc = b.cols ();
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 if (nr != b_nr \|\| nc != b_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2250 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2251 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	2252 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2253 }
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 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2256
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2257 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	2258 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	2259 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2260 OCTAVE_QUIT;
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), b (i, j));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2262 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2263
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2264 return result;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2267 // 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	2268 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2269 // op2 \ op1: s nd cs cnd
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2270 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2271 // scalar \| \| * \| 3 \| * \| 9 \|
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 // N_d \| 1 \| 4 \| 7 \| 10 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2274 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2275 // complex_scalar \| * \| 5 \| * \| 11 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2276 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2277 // complex_N_d \| 2 \| 6 \| 8 \| 12 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2278 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2279 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2280 // * -> not needed.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2281
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2282 // 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	2283 // like
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 // 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	2286 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2287 // and
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2288 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2289 // 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	2290 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2291 // 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	2292 // 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	2293 // 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	2294 // library...
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2295
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2296 // -- 1 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2297 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2298 elem_xpow (float a, const FloatNDArray& b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2301
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2302 float d1, d2;
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 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	2305 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2306 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2307 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2308 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	2309 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2310 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2311 result(i) = std::pow (atmp, b(i));
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2314 retval = result;
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 else
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 FloatNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2319 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	2320 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2321 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2322 result (i) = std::pow (a, b(i));
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2325 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2326 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2329 }
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 // -- 2 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2332 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2333 elem_xpow (float a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2334 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2335 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2336 FloatComplex atmp (a);
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 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	2339 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2340 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2341 result(i) = std::pow (atmp, b(i));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2342 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2343
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2344 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2345 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2346
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2347 // -- 3 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2348 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2349 elem_xpow (const FloatNDArray& a, float b)
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 octave_value retval;
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 (static_cast<int> (b) != b && a.any_element_is_negative ())
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 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2356
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2357 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	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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2361 FloatComplex atmp (a (i));
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 result(i) = std::pow (atmp, b);
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2366 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2367 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2368 else
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 FloatNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2371
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2372 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	2373 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2374 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2375 result(i) = std::pow (a(i), b);
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2378 retval = result;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2381 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2382 }
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 // -- 4 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2385 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2386 elem_xpow (const FloatNDArray& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2387 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2388 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2389
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2390 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2391 dim_vector b_dims = b.dims ();
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 if (a_dims != b_dims)
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 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2396 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2397 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2398
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2399 int len = a.length ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2400
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2401 bool convert_to_complex = false;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2402
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2403 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	2404 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2405 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2406 float atmp = a(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2407 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2408 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	2409 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2410 convert_to_complex = true;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2411 goto done;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2412 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2413 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2414
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2415 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2416
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2417 if (convert_to_complex)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2418 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2419 FloatComplexNDArray complex_result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2420
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2421 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	2422 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2423 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2424 FloatComplex atmp (a(i));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2425 FloatComplex btmp (b(i));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2426 complex_result(i) = std::pow (atmp, btmp);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2427 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2428
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2429 retval = complex_result;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2435 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	2436 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2437 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2438 result(i) = std::pow (a(i), b(i));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2439 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2440
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2441 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2442 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2443
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2444 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2445 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2446
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2447 // -- 5 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2448 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2449 elem_xpow (const FloatNDArray& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2450 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2451 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2452
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2453 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	2454 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2455 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2456 result(i) = std::pow (FloatComplex (a(i)), b);
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2459 return result;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2462 // -- 6 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2463 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2464 elem_xpow (const FloatNDArray& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2465 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2466 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2467 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2468
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2469 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2470 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2471 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2472 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2473 }
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 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2476
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2477 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	2478 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2479 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2480 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	2481 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2482
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2483 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2484 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2485
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2486 // -- 7 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2487 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2488 elem_xpow (const FloatComplex& a, const FloatNDArray& b)
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 FloatComplexNDArray result (b.dims ());
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 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	2493 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2494 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2495 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2496 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2497 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	2498 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2499 result(i) = std::pow (a, btmp);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2500 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2501
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2502 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2503 }
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 // -- 8 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2506 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2507 elem_xpow (const FloatComplex& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2508 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2509 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2510
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2511 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	2512 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2513 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2514 result(i) = std::pow (a, b(i));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2515 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2518 }
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 // -- 9 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2521 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2522 elem_xpow (const FloatComplexNDArray& a, float b)
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 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2525
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2526 if (xisint (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 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	2529 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2530 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2531 result(i) = std::pow (a(i), static_cast<int> (b));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2532 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2533 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2534 else
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 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	2537 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2538 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2539 result(i) = std::pow (a(i), b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2540 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2541 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2544 }
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 // -- 10 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2547 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2548 elem_xpow (const FloatComplexNDArray& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2549 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2550 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2551 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2552
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2553 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2554 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2555 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2556 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2557 }
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 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2560
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2561 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	2562 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2563 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2564 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2565 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2566 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	2567 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2568 result(i) = std::pow (a(i), btmp);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2569 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2572 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2573
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2574 // -- 11 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2575 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2576 elem_xpow (const FloatComplexNDArray& a, const FloatComplex& b)
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 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2579
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2580 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	2581 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2582 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2583 result(i) = std::pow (a(i), b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2584 }
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 return result;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2589 // -- 12 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2590 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2591 elem_xpow (const FloatComplexNDArray& a, const FloatComplexNDArray& b)
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 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2594 dim_vector b_dims = b.dims ();
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 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2597 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2598 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2599 return octave_value ();
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2602 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2603
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2604 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	2605 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2606 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2607 result(i) = std::pow (a(i), b(i));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2608 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2609
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2610 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2611 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2612
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	2613 /*
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	2614 ;;; Local Variables: ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	2615 ;;; mode: C++ ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	2616 ;;; End: ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	2617 */

Mercurial > octave

annotate src/xpow.cc @ 8920:eb63fbe60fab