octave-nkf: src/xpow.cc annotate

annotate src/xpow.cc @ 11030:231946a9ad55

make the result of r^m real when r > 0

author	Jaroslav Hajek <highegg@gmail.com>
date	Tue, 28 Sep 2010 13:56:10 +0200
parents	a046d03e2417
children	fd0a3ac60b0e

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
10521 4d1fc073fbb7 add some missing copyright stmts Jaroslav Hajek <highegg@gmail.com> parents: 10363 diff changeset	5 Copyright (C) 2009, 2010 VZLU Prague
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	6
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	7 This file is part of Octave.
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	8
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	9 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	10 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	11 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	12 option) any later version.
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	13
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	14 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	15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	16 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	17 for more details.
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	18
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	19 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	20 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	21 <http://www.gnu.org/licenses/>.
1 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 */
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	24
240 a99f28f5e351 [project @ 1993-11-30 20:24:36 by jwe] jwe parents: 164 diff changeset	25 #ifdef HAVE_CONFIG_H
1192 b6360f2d4fa6 [project @ 1995-03-30 21:38:35 by jwe] jwe parents: 1009 diff changeset	26 #include <config.h>
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	27 #endif
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	28
1343 94bedeb289e5 [project @ 1995-09-04 00:29:21 by jwe] jwe parents: 1321 diff changeset	29 #include <cassert>
1580 0c49e5e8dd5b [project @ 1995-10-19 21:26:43 by jwe] jwe parents: 1567 diff changeset	30 #include <climits>
1343 94bedeb289e5 [project @ 1995-09-04 00:29:21 by jwe] jwe parents: 1321 diff changeset	31
4669 334a27c8f453 [project @ 2003-11-26 07:02:42 by jwe] jwe parents: 4543 diff changeset	32 #include "Array-util.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	33 #include "CColVector.h"
453 393e95f46b51 [project @ 1994-06-06 00:05:20 by jwe] jwe parents: 240 diff changeset	34 #include "CDiagMatrix.h"
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	35 #include "fCDiagMatrix.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	36 #include "CMatrix.h"
453 393e95f46b51 [project @ 1994-06-06 00:05:20 by jwe] jwe parents: 240 diff changeset	37 #include "EIG.h"
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	38 #include "fEIG.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	39 #include "dDiagMatrix.h"
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	40 #include "fDiagMatrix.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	41 #include "dMatrix.h"
8958 6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	42 #include "PermMatrix.h"
3585 d9803711e047 [project @ 2000-02-08 04:35:39 by jwe] jwe parents: 3178 diff changeset	43 #include "mx-cm-cdm.h"
1651 e846e361a265 [project @ 1995-12-20 06:59:12 by jwe] jwe parents: 1580 diff changeset	44 #include "oct-cmplx.h"
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	45 #include "Range.h"
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	46 #include "quit.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	47
19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	48 #include "error.h"
4055 7690958e7726 [project @ 2002-08-18 01:56:58 by jwe] jwe parents: 3585 diff changeset	49 #include "oct-obj.h"
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	50 #include "utils.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	51 #include "xpow.h"
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	52
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	53 #ifdef _OPENMP
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	54 #include <omp.h>
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	55 #endif
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	56
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	57 static inline int
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	58 xisint (double x)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	59 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	60 return (D_NINT (x) == x
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	61 && ((x >= 0 && x < INT_MAX)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	62 \|\| (x <= 0 && x > INT_MIN)));
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	63 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	64
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	65 // Safer pow functions.
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	66 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	67 // op2 \ op1: s m cs cm
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	68 // +-- +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	69 // scalar \| \| 1 \| 5 \| 7 \| 11 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	70 // +---+---+----+----+
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	71 // matrix \| 2 \| * \| 8 \| * \|
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	72 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	73 // complex_scalar \| 3 \| 6 \| 9 \| 12 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	74 // +---+---+----+----+
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	75 // complex_matrix \| 4 \| * \| 10 \| * \|
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	76 // +---+---+----+----+
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	77
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	78 // -- 1 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	79 octave_value
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	80 xpow (double a, double b)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	81 {
7543 b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	82 double retval;
b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	83
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	84 if (a < 0.0 && ! xisint (b))
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	85 {
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	86 Complex atmp (a);
4682 994f449a1eba [project @ 2003-12-19 15:37:14 by jwe] jwe parents: 4669 diff changeset	87
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	88 return std::pow (atmp, b);
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	89 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	90 else
7543 b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	91 retval = std::pow (a, b);
b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	92
b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	93 return retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	94 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	95
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	96 // -- 2 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	97 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	98 xpow (double a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	99 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	100 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	101
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	102 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	103 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	104
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	105 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	106 error ("for x^A, A must be square");
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	107 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	108 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	109 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	110
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	111 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	112 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	113 ComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	114 ComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	115
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	116 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	117 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	118 Complex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	119 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	120 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	121 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	122 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	123 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	124 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	125
11030 231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	126 ComplexMatrix C = Q * D * Q.inverse ();
231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	127 if (a > 0)
231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	128 retval = real (C);
231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	129 else
231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	130 retval = C;
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	131 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	132 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	133 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	134 }
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 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	137 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	138
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	139 // -- 3 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	140 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	141 xpow (double a, const Complex& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	142 {
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	143 Complex result = std::pow (a, b);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	144 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	145 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	146
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	147 // -- 4 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	148 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	149 xpow (double a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	150 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	151 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	152
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	153 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	154 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	155
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	156 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	157 error ("for x^A, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	158 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	159 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	160 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	161
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	162 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	163 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	164 ComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	165 ComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	166
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	167 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	168 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	169 Complex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	170 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	171 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	172 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	173 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	174 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	175 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	176
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	177 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	178 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	179 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	180 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	181 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	182
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	183 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	184 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	185
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	186 // -- 5 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	187 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	188 xpow (const Matrix& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	189 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	190 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	191
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	192 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	193 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	194
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	195 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	196 error ("for A^b, A must be square");
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	197 else
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	198 {
2800 9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe] jwe parents: 2365 diff changeset	199 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	200 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	201 int btmp = static_cast<int> (b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	202 if (btmp == 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	203 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	204 retval = DiagMatrix (nr, nr, 1.0);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	205 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	206 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	207 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	208 // Too much copying?
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	209 // FIXME -- we shouldn't do this if the exponent is
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	210 // large...
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	211
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	212 Matrix atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	213 if (btmp < 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	214 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	215 btmp = -btmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	216
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	217 octave_idx_type info;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	218 double rcond = 0.0;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	219 MatrixType mattype (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	220
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	221 atmp = a.inverse (mattype, info, rcond, 1);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	222
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	223 if (info == -1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	224 warning ("inverse: matrix singular to machine\
1655 593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	225 precision, rcond = %g", rcond);
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	226 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	227 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	228 atmp = a;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	229
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	230 Matrix result (atmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	231
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	232 btmp--;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	233
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	234 while (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	235 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	236 if (btmp & 1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	237 result = result * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	238
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	239 btmp >>= 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	240
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	241 if (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	242 atmp = atmp * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	243 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	244
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	245 retval = result;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	246 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	247 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	248 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	249 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	250 EIG a_eig (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	251
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	252 if (! error_state)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	253 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	254 ComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	255 ComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	256
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	257 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	258 lambda(i) = std::pow (lambda(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	259
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	260 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	261
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	262 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	263 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	264 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	265 error ("xpow: matrix diagonalization failed");
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	266 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	267 }
1358 dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe] jwe parents: 1352 diff changeset	268
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	269 return retval;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	270 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	271
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	272 // -- 5d --
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	273 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	274 xpow (const DiagMatrix& a, double b)
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 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	277
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	278 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	279 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	280
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	281 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	282 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	283 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	284 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	285 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	286 {
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	287 DiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	288 for (octave_idx_type i = 0; i < nc; i++)
10363 a0728e81ed25 improve diag matrix interface & implementation Jaroslav Hajek <highegg@gmail.com> parents: 10315 diff changeset	289 r.dgelem (i) = std::pow (a.dgelem (i), b);
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	290 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	291 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	292 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	293 {
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	294 ComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	295 for (octave_idx_type i = 0; i < nc; i++)
10363 a0728e81ed25 improve diag matrix interface & implementation Jaroslav Hajek <highegg@gmail.com> parents: 10315 diff changeset	296 r.dgelem (i) = std::pow (static_cast<Complex> (a.dgelem (i)), b);
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	297 retval = r;
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	298 }
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	299 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	300
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	301 return retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	302 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	303
8958 6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	304 // -- 5p --
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	305 octave_value
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	306 xpow (const PermMatrix& a, double b)
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	307 {
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	308 octave_value retval;
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	309 int btmp = static_cast<int> (b);
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	310 if (btmp == b)
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	311 return a.power (btmp);
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	312 else
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	313 return xpow (Matrix (a), b);
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	314 }
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	315
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	316 // -- 6 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	317 octave_value
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	318 xpow (const Matrix& a, const Complex& b)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	319 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	320 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	321
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	322 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	323 octave_idx_type nc = a.cols ();
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	324
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	325 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	326 error ("for A^b, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	327 else
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 EIG a_eig (a);
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	330
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	331 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	332 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	333 ComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	334 ComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	335
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	336 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	337 lambda(i) = std::pow (lambda(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	338
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	339 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	340
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	341 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	342 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	343 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	344 error ("xpow: matrix diagonalization failed");
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
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	347 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	348 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	349
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	350 // -- 7 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	351 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	352 xpow (const Complex& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	353 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	354 Complex result;
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	355
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	356 if (xisint (b))
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	357 result = std::pow (a, static_cast<int> (b));
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	358 else
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	359 result = std::pow (a, b);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	360
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	361 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	362 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	363
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	364 // -- 8 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	365 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	366 xpow (const Complex& a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	367 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	368 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	369
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	370 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	371 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	372
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	373 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	374 error ("for x^A, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	375 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	376 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	377 EIG b_eig (b);
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 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	380 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	381 ComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	382 ComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	383
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	384 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	385 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	386 Complex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	387 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	388 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	389 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	390 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	391 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	392 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	393
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	394 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	395 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	396 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	397 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	398 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	399
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	400 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	401 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	402
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	403 // -- 9 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	404 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	405 xpow (const Complex& a, const Complex& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	406 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	407 Complex result;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	408 result = std::pow (a, b);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	409 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	410 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	411
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	412 // -- 10 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	413 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	414 xpow (const Complex& a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	415 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	416 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	417
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	418 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	419 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	420
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	421 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	422 error ("for x^A, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	423 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	424 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	425 EIG b_eig (b);
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 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	428 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	429 ComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	430 ComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	431
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	432 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	433 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	434 Complex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	435 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	436 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	437 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	438 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	439 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	440 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	441
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	442 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	443 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	444 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	445 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	446 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	447
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	448 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	449 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	450
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	451 // -- 11 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	452 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	453 xpow (const ComplexMatrix& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	454 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	455 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	456
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	457 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	458 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	459
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	460 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	461 error ("for A^b, A must be square");
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	462 else
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	463 {
2800 9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe] jwe parents: 2365 diff changeset	464 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	465 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	466 int btmp = static_cast<int> (b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	467 if (btmp == 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	468 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	469 retval = DiagMatrix (nr, nr, 1.0);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	470 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	471 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	472 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	473 // Too much copying?
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	474 // FIXME -- we shouldn't do this if the exponent is
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	475 // large...
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	476
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	477 ComplexMatrix atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	478 if (btmp < 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	479 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	480 btmp = -btmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	481
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	482 octave_idx_type info;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	483 double rcond = 0.0;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	484 MatrixType mattype (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	485
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	486 atmp = a.inverse (mattype, info, rcond, 1);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	487
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	488 if (info == -1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	489 warning ("inverse: matrix singular to machine\
1655 593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	490 precision, rcond = %g", rcond);
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	491 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	492 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	493 atmp = a;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	494
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	495 ComplexMatrix result (atmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	496
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	497 btmp--;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	498
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	499 while (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	500 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	501 if (btmp & 1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	502 result = result * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	503
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	504 btmp >>= 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	505
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	506 if (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	507 atmp = atmp * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	508 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	509
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	510 retval = result;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	511 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	512 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	513 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	514 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	515 EIG a_eig (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	516
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	517 if (! error_state)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	518 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	519 ComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	520 ComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	521
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	522 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	523 lambda(i) = std::pow (lambda(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	524
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	525 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	526
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	527 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	528 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	529 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	530 error ("xpow: matrix diagonalization failed");
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	531 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	532 }
1358 dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe] jwe parents: 1352 diff changeset	533
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	534 return retval;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	535 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	536
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	537 // -- 12 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	538 octave_value
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	539 xpow (const ComplexMatrix& a, const Complex& b)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	540 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	541 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	542
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	543 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	544 octave_idx_type nc = a.cols ();
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	545
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	546 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	547 error ("for A^b, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	548 else
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 EIG a_eig (a);
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	551
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	552 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	553 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	554 ComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	555 ComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	556
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	557 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	558 lambda(i) = std::pow (lambda(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	559
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	560 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	561
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	562 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	563 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	564 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	565 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	566 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	567
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	568 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	569 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	570
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	571 // -- 12d --
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	572 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	573 xpow (const ComplexDiagMatrix& a, const Complex& b)
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 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	576
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	577 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	578 octave_idx_type nc = a.cols ();
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 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	581 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	582 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	583 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	584 ComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	585 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	586 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	587 retval = r;
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
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	590 return retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	591 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	592
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	593 // mixed
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	594 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	595 xpow (const ComplexDiagMatrix& a, double b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	596 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	597 return xpow (a, static_cast<Complex> (b));
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	598 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	599
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	600 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	601 xpow (const DiagMatrix& a, const Complex& b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	602 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	603 return xpow (ComplexDiagMatrix (a), b);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	604 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	605
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	606
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	607 // Safer pow functions that work elementwise for matrices.
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	608 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	609 // op2 \ op1: s m cs cm
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	610 // +-- +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	611 // scalar \| \| * \| 3 \| * \| 9 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	612 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	613 // matrix \| 1 \| 4 \| 7 \| 10 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	614 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	615 // complex_scalar \| * \| 5 \| * \| 11 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	616 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	617 // complex_matrix \| 2 \| 6 \| 8 \| 12 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	618 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	619 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	620 // * -> not needed.
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	621
5775 ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe] jwe parents: 5667 diff changeset	622 // 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	623 // like
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	624 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	625 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	626 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	627 // and
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	628 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	629 // 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	630 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	631 // 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	632 // 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	633 // 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	634 // library...
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	635
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	636 // -- 1 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	637 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	638 elem_xpow (double a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	639 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	640 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	641
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	642 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	643 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	644
3162 7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	645 double d1, d2;
1358 dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe] jwe parents: 1352 diff changeset	646
3162 7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	647 if (a < 0.0 && ! b.all_integers (d1, d2))
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	648 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	649 Complex atmp (a);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	650 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	651
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	652 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	653 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	654 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	655 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	656 result (i, j) = std::pow (atmp, b (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	657 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	658
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	659 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	660 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	661 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	662 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	663 Matrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	664
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	665 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	666 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	667 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	668 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	669 result (i, j) = std::pow (a, b (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	670 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	671
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	672 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	673 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	674
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	675 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	676 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	677
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	678 // -- 2 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	679 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	680 elem_xpow (double a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	681 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	682 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	683 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	684
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	685 ComplexMatrix result (nr, nc);
3125 dcc6c985d72d [project @ 1998-01-16 05:08:21 by jwe] jwe parents: 2847 diff changeset	686 Complex atmp (a);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	687
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	688 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	689 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	690 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	691 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	692 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	693 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	694
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	695 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	696 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	697
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	698 static inline bool
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	699 same_sign (double a, double b)
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	700 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	701 return (a >= 0 && b >= 0) \|\| (a <= 0 && b <= 0);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	702 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	703
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	704 octave_value
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	705 elem_xpow (double a, const Range& r)
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	706 {
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	707 octave_value retval;
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	708
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	709 // Only optimize powers with ranges that are integer and monotonic in
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	710 // magnitude.
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	711 if (r.nelem () > 1 && r.all_elements_are_ints ()
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	712 && same_sign (r.base (), r.limit ()))
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	713 {
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	714 octave_idx_type n = r.nelem ();
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	715 Matrix result (1, n);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	716 if (same_sign (r.base (), r.inc ()))
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	717 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	718 double base = std::pow (a, r.base ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	719 double inc = std::pow (a, r.inc ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	720 result(0) = base;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	721 for (octave_idx_type i = 1; i < n; i++)
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	722 result(i) = (base *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	723 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	724 else
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	725 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	726 // Don't use Range::limit () here.
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	727 double limit = std::pow (a, r.base () + (n-1) * r.inc ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	728 double inc = std::pow (a, -r.inc ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	729 result(n-1) = limit;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	730 for (octave_idx_type i = n-2; i >= 0; i--)
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	731 result(i) = (limit *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	732 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	733
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	734 retval = result;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	735 }
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	736 else
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	737 retval = elem_xpow (a, r.matrix_value ());
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	738
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	739 return retval;
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	740 }
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	741
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	742 // -- 3 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	743 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	744 elem_xpow (const Matrix& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	745 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	746 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	747
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	748 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	749 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	750
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	751 if (! xisint (b) && a.any_element_is_negative ())
1 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 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	754
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	755 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	756 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	757 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	758 octave_quit ();
5665 d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	759
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	760 Complex atmp (a (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	761
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	762 result (i, j) = std::pow (atmp, b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	763 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	764
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	765 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	766 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	767 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	768 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	769 Matrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	770
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	771 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	772 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	773 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	774 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	775 result (i, j) = std::pow (a (i, j), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	776 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	777
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	778 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	779 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	780
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	781 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	782 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	783
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	784 // -- 4 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	785 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	786 elem_xpow (const Matrix& a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	787 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	788 octave_value retval;
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	789
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	790 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	791 octave_idx_type nc = a.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	792
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	793 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	794 octave_idx_type b_nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	795
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	796 if (nr != b_nr \|\| nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	797 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	798 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	799 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	800 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	801
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	802 int convert_to_complex = 0;
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	803 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	804 for (octave_idx_type i = 0; i < nr; i++)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	805 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	806 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	807 double atmp = a (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	808 double btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	809 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	810 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	811 convert_to_complex = 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	812 goto done;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	813 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	814 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	815
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	816 done:
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	817
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	818 if (convert_to_complex)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	819 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	820 ComplexMatrix complex_result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	821
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	822 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	823 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	824 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	825 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	826 Complex atmp (a (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	827 Complex btmp (b (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	828 complex_result (i, j) = std::pow (atmp, btmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	829 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	830
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	831 retval = complex_result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	832 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	833 else
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 Matrix result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	836
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	837 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	838 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	839 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	840 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	841 result (i, j) = std::pow (a (i, j), b (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	842 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	843
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	844 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	845 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	846
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	847 return retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	848 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	849
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	850 // -- 5 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	851 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	852 elem_xpow (const Matrix& a, const Complex& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	853 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	854 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	855 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	856
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	857 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	858
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	859 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	860 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	861 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	862 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	863 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	864 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	865
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	866 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	867 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	868
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	869 // -- 6 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	870 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	871 elem_xpow (const Matrix& a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	872 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	873 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	874 octave_idx_type nc = a.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	875
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	876 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	877 octave_idx_type b_nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	878
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	879 if (nr != b_nr \|\| nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	880 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	881 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	882 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	883 }
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);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	886
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	887 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	888 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	889 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	890 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	891 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	892 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	893
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	894 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	895 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	896
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	897 // -- 7 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	898 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	899 elem_xpow (const Complex& a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	900 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	901 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	902 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	903
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	904 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	905
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	906 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	907 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	908 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	909 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	910 double btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	911 if (xisint (btmp))
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	912 result (i, j) = std::pow (a, static_cast<int> (btmp));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	913 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	914 result (i, j) = std::pow (a, btmp);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	915 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	916
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	917 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	918 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	919
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	920 // -- 8 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	921 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	922 elem_xpow (const Complex& a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	923 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	924 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	925 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	926
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	927 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	928
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	929 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	930 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	931 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	932 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	933 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	934 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	935
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	936 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	937 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	938
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	939 octave_value
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	940 elem_xpow (const Complex& a, const Range& r)
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	941 {
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	942 octave_value retval;
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	943
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	944 // Only optimize powers with ranges that are integer and monotonic in
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	945 // magnitude.
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	946 if (r.nelem () > 1 && r.all_elements_are_ints ()
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	947 && same_sign (r.base (), r.limit ()))
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	948 {
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	949 octave_idx_type n = r.nelem ();
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	950 ComplexMatrix result (1, n);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	951
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	952 if (same_sign (r.base (), r.inc ()))
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	953 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	954 Complex base = std::pow (a, r.base ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	955 Complex inc = std::pow (a, r.inc ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	956 result(0) = base;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	957 for (octave_idx_type i = 1; i < n; i++)
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	958 result(i) = (base *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	959 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	960 else
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	961 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	962 // Don't use Range::limit () here.
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	963 Complex limit = std::pow (a, r.base () + (n-1) * r.inc ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	964 Complex inc = std::pow (a, -r.inc ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	965 result(n-1) = limit;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	966 for (octave_idx_type i = n-2; i >= 0; i--)
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	967 result(i) = (limit *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	968 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	969
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	970 retval = result;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	971 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	972 else
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	973 retval = elem_xpow (a, r.matrix_value ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	974
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	975
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	976 return retval;
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	977 }
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	978
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	979 // -- 9 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	980 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	981 elem_xpow (const ComplexMatrix& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	982 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	983 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	984 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	985
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	986 ComplexMatrix result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	987
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	988 if (xisint (b))
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	989 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	990 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	991 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	992 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	993 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	994 result (i, j) = std::pow (a (i, j), static_cast<int> (b));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	995 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	996 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	997 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	998 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	999 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1000 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1001 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1002 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1003 result (i, j) = std::pow (a (i, j), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1004 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	1005 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	1006
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	1007 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1008 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1009
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	1010 // -- 10 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	1011 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	1012 elem_xpow (const ComplexMatrix& a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1013 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1014 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1015 octave_idx_type nc = a.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1016
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1017 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1018 octave_idx_type b_nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1019
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1020 if (nr != b_nr \|\| nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1021 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1022 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1023 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1024 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1025
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1026 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1027
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1028 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1029 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	1030 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1031 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1032 double btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1033 if (xisint (btmp))
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1034 result (i, j) = std::pow (a (i, j), static_cast<int> (btmp));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1035 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1036 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	1037 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1038
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	1039 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1040 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1041
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	1042 // -- 11 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	1043 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	1044 elem_xpow (const ComplexMatrix& a, const Complex& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1045 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1046 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1047 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1048
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1049 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1050
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1051 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1052 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	1053 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1054 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1055 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	1056 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1057
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	1058 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1059 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1060
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	1061 // -- 12 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	1062 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	1063 elem_xpow (const ComplexMatrix& a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1064 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1065 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1066 octave_idx_type nc = a.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1067
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1068 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1069 octave_idx_type b_nc = b.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1070
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1071 if (nr != b_nr \|\| nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1072 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1073 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1074 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1075 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1076
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1077 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1078
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1079 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1080 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	1081 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1082 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1083 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	1084 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1085
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	1086 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1087 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1088
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1089 // 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	1090 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1091 // op2 \ op1: s nd cs cnd
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1092 // +-- +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1093 // scalar \| \| * \| 3 \| * \| 9 \|
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 // N_d \| 1 \| 4 \| 7 \| 10 \|
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1096 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1097 // complex_scalar \| * \| 5 \| * \| 11 \|
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 // complex_N_d \| 2 \| 6 \| 8 \| 12 \|
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 // * -> not needed.
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1103
5775 ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe] jwe parents: 5667 diff changeset	1104 // 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	1105 // like
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1106 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1107 // 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	1108 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1109 // and
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 // 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	1112 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1113 // 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	1114 // 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	1115 // 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	1116 // library...
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1117
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1118 // -- 1 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1119 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1120 elem_xpow (double a, const NDArray& b)
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 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1123
11011 a046d03e2417 slight simplifications in xpow.cc Jaroslav Hajek <highegg@gmail.com> parents: 10521 diff changeset	1124 if (a < 0.0 && ! b.all_integers ())
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 Complex atmp (a);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1127 ComplexNDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1128 for (octave_idx_type i = 0; i < b.length (); i++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1129 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1130 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1131 result(i) = std::pow (atmp, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1132 }
4543 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 retval = result;
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 else
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 NDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1139 for (octave_idx_type i = 0; i < b.length (); i++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1140 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1141 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1142 result (i) = std::pow (a, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1143 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1144
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1145 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1146 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1147
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1148 return retval;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1151 // -- 2 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1152 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1153 elem_xpow (double a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1154 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1155 ComplexNDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1156
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1157 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	1158 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1159 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	1160 result(i) = std::pow (a, b(i));
4543 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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1163 return result;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1166 // -- 3 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1167 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1168 elem_xpow (const NDArray& a, double b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1169 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1170 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1171
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1172 if (! xisint (b))
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1173 {
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1174 if (a.any_element_is_negative ())
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1175 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1176 ComplexNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1177
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1178 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1179 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1180 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1181
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1182 Complex atmp (a (i));
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1183
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1184 result(i) = std::pow (atmp, b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1185 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1186
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1187 retval = result;
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1188 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1189 else
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1190 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1191 NDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1192 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1193 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1194 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1195 result(i) = std::pow (a(i), b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1196 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1197
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1198 retval = result;
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1199 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1200 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1201 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1202 {
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1203 NoAlias<NDArray> result (a.dims ());
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1204
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1205 int ib = static_cast<int> (b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1206 if (ib == 2)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1207 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1208 for (octave_idx_type i = 0; i < a.length (); i++)
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1209 result(i) = a(i) * a(i);
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1210 }
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1211 else if (ib == 3)
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1212 {
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1213 for (octave_idx_type i = 0; i < a.length (); i++)
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1214 result(i) = a(i) * a(i) * a(i);
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1215 }
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1216 else if (ib == -1)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1217 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1218 for (octave_idx_type i = 0; i < a.length (); i++)
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1219 result(i) = 1.0 / a(i);
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1220 }
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1221 else
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1222 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1223 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1224 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1225 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1226 result(i) = std::pow (a(i), ib);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1227 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1228 }
4543 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 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1231 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1232
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1233 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1234 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1235
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1236 // -- 4 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1237 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1238 elem_xpow (const NDArray& a, const NDArray& b)
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 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1241
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1242 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1243 dim_vector b_dims = b.dims ();
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 if (a_dims != b_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 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1248 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1249 }
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 int len = a.length ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1252
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1253 bool convert_to_complex = false;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1254
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1255 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	1256 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1257 octave_quit ();
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1258 double atmp = a(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1259 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1260 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1261 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1262 convert_to_complex = true;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1263 goto done;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1264 }
4543 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 done:
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1268
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1269 if (convert_to_complex)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1270 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1271 ComplexNDArray complex_result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1272
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1273 for (octave_idx_type i = 0; i < len; i++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1274 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1275 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1276 Complex atmp (a(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1277 complex_result(i) = std::pow (atmp, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1278 }
4543 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 retval = complex_result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1281 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1282 else
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 NDArray result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1285
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1286 for (octave_idx_type i = 0; i < len; i++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1287 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1288 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1289 result(i) = std::pow (a(i), b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1290 }
4543 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 retval = 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 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1296 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1297
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1298 // -- 5 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1299 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1300 elem_xpow (const NDArray& a, const Complex& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1301 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1302 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1303
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1304 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	1305 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1306 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	1307 result(i) = std::pow (a(i), b);
4543 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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1311 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1312
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1313 // -- 6 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1314 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1315 elem_xpow (const NDArray& a, const ComplexNDArray& b)
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 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1318 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1319
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1320 if (a_dims != b_dims)
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 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1323 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1324 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1325
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1326 ComplexNDArray result (a_dims);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1327
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1328 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	1329 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1330 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	1331 result(i) = std::pow (a(i), b(i));
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1332 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1333
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1334 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1335 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1336
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1337 // -- 7 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1338 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1339 elem_xpow (const Complex& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1340 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1341 ComplexNDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1342
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1343 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	1344 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1345 octave_quit ();
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1346 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1347 if (xisint (btmp))
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1348 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	1349 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1350 result(i) = std::pow (a, btmp);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1351 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1352
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1353 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1354 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1355
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1356 // -- 8 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1357 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1358 elem_xpow (const Complex& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1359 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1360 ComplexNDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1361
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1362 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	1363 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1364 octave_quit ();
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1365 result(i) = std::pow (a, b(i));
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1366 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1367
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1368 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1369 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1370
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1371 // -- 9 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1372 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1373 elem_xpow (const ComplexNDArray& a, double b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1374 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1375 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1376
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1377 if (xisint (b))
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1378 {
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1379 if (b == -1)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1380 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1381 for (octave_idx_type i = 0; i < a.length (); i++)
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	1382 result.xelem (i) = 1.0 / a(i);
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1383 }
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1384 else
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1385 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1386 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1387 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1388 octave_quit ();
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1389 result(i) = std::pow (a(i), static_cast<int> (b));
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1390 }
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1391 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1392 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1393 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1394 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1395 for (octave_idx_type i = 0; i < a.length (); i++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1396 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1397 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1398 result(i) = std::pow (a(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1399 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1400 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1401
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1402 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1403 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1404
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1405 // -- 10 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1406 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1407 elem_xpow (const ComplexNDArray& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1408 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1409 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1410 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1411
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1412 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1413 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1414 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1415 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1416 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1417
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1418 ComplexNDArray result (a_dims);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1419
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1420 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	1421 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1422 octave_quit ();
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1423 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1424 if (xisint (btmp))
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1425 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	1426 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1427 result(i) = std::pow (a(i), btmp);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1428 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1429
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1430 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1431 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1432
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1433 // -- 11 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1434 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1435 elem_xpow (const ComplexNDArray& a, const Complex& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1436 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1437 ComplexNDArray result (a.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1438
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1439 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	1440 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1441 octave_quit ();
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1442 result(i) = std::pow (a(i), b);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1443 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1444
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1445 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1446 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1447
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1448 // -- 12 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1449 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1450 elem_xpow (const ComplexNDArray& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1451 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1452 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1453 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1454
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1455 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1456 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1457 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1458 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1459 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1460
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1461 ComplexNDArray result (a_dims);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1462
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1463 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	1464 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1465 octave_quit ();
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1466 result(i) = std::pow (a(i), b(i));
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1467 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1468
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1469 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1470 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1471
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1472 static inline int
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1473 xisint (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1474 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1475 return (D_NINT (x) == x
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1476 && ((x >= 0 && x < INT_MAX)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1477 \|\| (x <= 0 && x > INT_MIN)));
7789 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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1480 // Safer pow functions.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1481 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1482 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1483 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1484 // scalar \| \| 1 \| 5 \| 7 \| 11 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1485 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1486 // matrix \| 2 \| * \| 8 \| * \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1487 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1488 // complex_scalar \| 3 \| 6 \| 9 \| 12 \|
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 // complex_matrix \| 4 \| * \| 10 \| * \|
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1493 // -- 1 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1494 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1495 xpow (float a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1496 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1497 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1498
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1499 if (a < 0.0 && ! xisint (b))
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1500 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1501 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1502
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1503 return std::pow (atmp, b);
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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1506 retval = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1507
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1508 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1509 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1510
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1511 // -- 2 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1512 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1513 xpow (float a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1514 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1515 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1516
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1517 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1518 octave_idx_type nc = b.cols ();
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 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1521 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1522 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1523 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1524 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1525
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1526 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1527 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1528 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1529 FloatComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1530
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1531 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1532 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1533 FloatComplex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1534 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1535 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1536 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1537 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1538 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1539 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1540
11030 231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	1541 FloatComplexMatrix C = Q * D * Q.inverse ();
231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	1542
231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	1543 if (a > 0)
231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	1544 retval = real (C);
231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	1545 else
231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	1546 retval = C;
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1547 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1548 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1549 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1550 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1551
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1552 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1553 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1554
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1555 // -- 3 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1556 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1557 xpow (float a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1558 {
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	1559 FloatComplex result = std::pow (a, b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1560 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1561 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1562
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1563 // -- 4 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1564 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1565 xpow (float a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1566 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1567 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1568
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1569 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1570 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1571
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1572 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1573 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1574 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1575 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1576 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1577
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1578 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1579 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1580 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1581 FloatComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1582
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1583 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1584 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1585 FloatComplex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1586 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1587 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1588 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1589 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1590 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1591 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1592
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1593 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1594 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1595 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1596 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1597 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1600 }
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 // -- 5 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1603 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1604 xpow (const FloatMatrix& a, float b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1607
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1608 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1609 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1610
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1611 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1612 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1613 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1614 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1615 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1616 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1617 int btmp = static_cast<int> (b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1618 if (btmp == 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1619 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1620 retval = FloatDiagMatrix (nr, nr, 1.0);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1621 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1622 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1623 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1624 // Too much copying?
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1625 // FIXME -- we shouldn't do this if the exponent is
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1626 // large...
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1627
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1628 FloatMatrix atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1629 if (btmp < 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1630 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1631 btmp = -btmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1632
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1633 octave_idx_type info;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1634 float rcond = 0.0;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1635 MatrixType mattype (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1636
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1637 atmp = a.inverse (mattype, info, rcond, 1);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1638
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1639 if (info == -1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1640 warning ("inverse: matrix singular to machine\
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1641 precision, rcond = %g", rcond);
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1642 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1643 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1644 atmp = a;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1645
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1646 FloatMatrix result (atmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1647
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1648 btmp--;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1649
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1650 while (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1651 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1652 if (btmp & 1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1653 result = result * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1654
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1655 btmp >>= 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1656
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1657 if (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1658 atmp = atmp * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1659 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1660
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1661 retval = result;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1662 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1663 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1664 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1665 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1666 FloatEIG a_eig (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1667
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1668 if (! error_state)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1669 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1670 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1671 FloatComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1672
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1673 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1674 lambda(i) = std::pow (lambda(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1675
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1676 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1677
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1678 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1679 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1680 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1681 error ("xpow: matrix diagonalization failed");
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1682 }
7789 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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1685 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1686 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1687
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1688 // -- 5d --
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1689 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1690 xpow (const FloatDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1691 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1692 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1693
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1694 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1695 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1696
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1697 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1698 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1699 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1700 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1701 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1702 {
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1703 FloatDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1704 for (octave_idx_type i = 0; i < nc; i++)
10363 a0728e81ed25 improve diag matrix interface & implementation Jaroslav Hajek <highegg@gmail.com> parents: 10315 diff changeset	1705 r.dgelem (i) = std::pow (a.dgelem (i), b);
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1706 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1707 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1708 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1709 {
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1710 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1711 for (octave_idx_type i = 0; i < nc; i++)
10363 a0728e81ed25 improve diag matrix interface & implementation Jaroslav Hajek <highegg@gmail.com> parents: 10315 diff changeset	1712 r.dgelem (i) = std::pow (static_cast<FloatComplex> (a.dgelem (i)), b);
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1713 retval = r;
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1714 }
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1715 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1716
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1717 return retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1718 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1719
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1720 // -- 6 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1721 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1722 xpow (const FloatMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1723 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1724 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1725
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1726 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1727 octave_idx_type nc = a.cols ();
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 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1730 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1731 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1732 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1733 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1734
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1735 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1736 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1737 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1738 FloatComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1739
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1740 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1741 lambda(i) = std::pow (lambda(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1742
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1743 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1744
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1745 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1746 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1747 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1748 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1749 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1752 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1753
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1754 // -- 7 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1755 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1756 xpow (const FloatComplex& a, float b)
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 FloatComplex result;
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 if (xisint (b))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1761 result = std::pow (a, static_cast<int> (b));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1762 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1763 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1764
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1765 return result;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1768 // -- 8 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1769 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1770 xpow (const FloatComplex& a, const FloatMatrix& b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1773
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1774 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1775 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1776
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1777 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1778 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1779 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1780 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1781 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1782
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1783 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1784 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1785 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1786 FloatComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1787
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1788 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1789 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1790 FloatComplex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1791 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1792 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1793 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1794 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1795 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1796 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1797
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1798 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1799 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1800 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1801 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1802 }
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 return 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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1807 // -- 9 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1808 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1809 xpow (const FloatComplex& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1810 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1811 FloatComplex result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1812 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1813 return result;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1816 // -- 10 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1817 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1818 xpow (const FloatComplex& a, const FloatComplexMatrix& b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1821
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1822 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1823 octave_idx_type nc = b.cols ();
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 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1826 error ("for x^A, A must be square");
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 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1829 FloatEIG b_eig (b);
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 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1832 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1833 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1834 FloatComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1835
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1836 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1837 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1838 FloatComplex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1839 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1840 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1841 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1842 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1843 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1844 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1845
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1846 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1847 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1848 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1849 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1850 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1851
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1852 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1853 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1854
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1855 // -- 11 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1856 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1857 xpow (const FloatComplexMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1858 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1859 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1860
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1861 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1862 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1863
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1864 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1865 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1866 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1867 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1868 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1869 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1870 int btmp = static_cast<int> (b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1871 if (btmp == 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1872 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1873 retval = FloatDiagMatrix (nr, nr, 1.0);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1874 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1875 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1876 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1877 // Too much copying?
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1878 // FIXME -- we shouldn't do this if the exponent is
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1879 // large...
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1880
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1881 FloatComplexMatrix atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1882 if (btmp < 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1883 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1884 btmp = -btmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1885
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1886 octave_idx_type info;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1887 float rcond = 0.0;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1888 MatrixType mattype (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1889
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1890 atmp = a.inverse (mattype, info, rcond, 1);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1891
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1892 if (info == -1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1893 warning ("inverse: matrix singular to machine\
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1894 precision, rcond = %g", rcond);
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1895 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1896 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1897 atmp = a;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1898
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1899 FloatComplexMatrix result (atmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1900
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1901 btmp--;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1902
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1903 while (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1904 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1905 if (btmp & 1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1906 result = result * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1907
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1908 btmp >>= 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1909
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1910 if (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1911 atmp = atmp * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1912 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1913
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1914 retval = result;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1915 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1916 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1917 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1918 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1919 FloatEIG a_eig (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1920
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1921 if (! error_state)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1922 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1923 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1924 FloatComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1925
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1926 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1927 lambda(i) = std::pow (lambda(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1928
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1929 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1930
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1931 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1932 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1933 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1934 error ("xpow: matrix diagonalization failed");
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1935 }
7789 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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1938 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1941 // -- 12 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1942 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1943 xpow (const FloatComplexMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1944 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1945 octave_value retval;
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 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1948 octave_idx_type nc = a.cols ();
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 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1951 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1952 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1953 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1954 FloatEIG a_eig (a);
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 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1957 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1958 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1959 FloatComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1960
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1961 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1962 lambda(i) = std::pow (lambda(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1963
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1964 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1965
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1966 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1967 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1968 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1969 error ("xpow: matrix diagonalization failed");
7789 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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1972 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1973 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1974
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1975 // -- 12d --
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1976 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1977 xpow (const FloatComplexDiagMatrix& a, const FloatComplex& b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1978 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1979 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1980
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1981 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1982 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1983
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1984 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1985 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1986 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1987 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1988 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1989 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	1990 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	1991 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1992 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1993
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1994 return retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1995 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1996
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1997 // mixed
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1998 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1999 xpow (const FloatComplexDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2000 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2001 return xpow (a, static_cast<FloatComplex> (b));
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2002 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2003
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2004 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2005 xpow (const FloatDiagMatrix& a, const FloatComplex& b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2006 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2007 return xpow (FloatComplexDiagMatrix (a), b);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2008 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2009
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2010 // Safer pow functions that work elementwise for matrices.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2011 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2012 // op2 \ op1: s m cs cm
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 // scalar \| \| * \| 3 \| * \| 9 \|
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 // matrix \| 1 \| 4 \| 7 \| 10 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2017 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2018 // complex_scalar \| * \| 5 \| * \| 11 \|
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 // complex_matrix \| 2 \| 6 \| 8 \| 12 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2021 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2022 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2023 // * -> not needed.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2024
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2025 // 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	2026 // like
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2027 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2028 // 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	2029 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2030 // and
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 // 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	2033 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2034 // 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	2035 // 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	2036 // 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	2037 // library...
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2038
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2039 // -- 1 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2040 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2041 elem_xpow (float a, const FloatMatrix& b)
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_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2044
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2045 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2046 octave_idx_type nc = b.cols ();
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 float d1, d2;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2049
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2050 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	2051 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2052 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2053 FloatComplexMatrix 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++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2056 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2057 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2058 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2059 result (i, j) = std::pow (atmp, b (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2060 }
7789 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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2065 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2066 FloatMatrix result (nr, nc);
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 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2069 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2070 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2071 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2072 result (i, j) = std::pow (a, b (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2073 }
7789 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 retval = result;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2078 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2081 // -- 2 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2082 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2083 elem_xpow (float a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2084 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2085 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2086 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2087
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2088 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2089 FloatComplex atmp (a);
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 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	2092 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	2093 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2094 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2095 result (i, j) = std::pow (atmp, b (i, j));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2096 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2097
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2098 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2099 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2100
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2101 // -- 3 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2102 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2103 elem_xpow (const FloatMatrix& a, float b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2106
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2107 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2108 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2109
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2110 if (! xisint (b) && a.any_element_is_negative ())
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2111 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2112 FloatComplexMatrix result (nr, nc);
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 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2115 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2116 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2117 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2118
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2119 FloatComplex atmp (a (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2120
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2121 result (i, j) = std::pow (atmp, b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2122 }
7789 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 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2125 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2126 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2127 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2128 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2129
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2130 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2131 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2132 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2133 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2134 result (i, j) = std::pow (a (i, j), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2135 }
7789 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 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2138 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2139
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2140 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2143 // -- 4 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2144 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2145 elem_xpow (const FloatMatrix& a, const FloatMatrix& b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2148
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2149 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2150 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2151
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2152 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2153 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2154
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2155 if (nr != b_nr \|\| nc != b_nc)
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 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	2158 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2159 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2160
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2161 int convert_to_complex = 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2162 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	2163 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	2164 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2165 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2166 float atmp = a (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2167 float btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2168 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2169 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2170 convert_to_complex = 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2171 goto done;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2172 }
7789 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 done:
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 if (convert_to_complex)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2178 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2179 FloatComplexMatrix complex_result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2180
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2181 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2182 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2183 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2184 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2185 FloatComplex atmp (a (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2186 FloatComplex btmp (b (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2187 complex_result (i, j) = std::pow (atmp, btmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2188 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2189
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2190 retval = complex_result;
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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2193 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2194 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2195
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2196 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2197 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2198 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2199 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2200 result (i, j) = std::pow (a (i, j), b (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2201 }
7789 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 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2204 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2205
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2206 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2207 }
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 // -- 5 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2210 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2211 elem_xpow (const FloatMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2212 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2213 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2214 octave_idx_type nc = a.cols ();
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 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2217
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2218 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	2219 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	2220 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2221 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2222 result (i, j) = std::pow (FloatComplex (a (i, j)), b);
7789 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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2225 return result;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2228 // -- 6 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2229 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2230 elem_xpow (const FloatMatrix& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2231 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2232 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2233 octave_idx_type nc = a.cols ();
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 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2236 octave_idx_type b_nc = b.cols ();
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 if (nr != b_nr \|\| nc != b_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2239 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2240 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	2241 return octave_value ();
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2244 FloatComplexMatrix result (nr, nc);
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 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	2247 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	2248 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2249 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2250 result (i, j) = std::pow (FloatComplex (a (i, j)), b (i, j));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2251 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2252
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2253 return result;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2256 // -- 7 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2257 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2258 elem_xpow (const FloatComplex& a, const FloatMatrix& b)
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_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2261 octave_idx_type nc = b.cols ();
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 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2264
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2265 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	2266 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	2267 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2268 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2269 float btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2270 if (xisint (btmp))
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2271 result (i, j) = std::pow (a, static_cast<int> (btmp));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2272 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2273 result (i, j) = std::pow (a, btmp);
7789 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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2276 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2277 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2278
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2279 // -- 8 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2280 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2281 elem_xpow (const FloatComplex& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2282 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2283 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2284 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2285
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2286 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2287
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2288 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	2289 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	2290 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2291 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2292 result (i, j) = std::pow (a, b (i, j));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2293 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2294
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2295 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2296 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2297
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2298 // -- 9 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2299 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2300 elem_xpow (const FloatComplexMatrix& a, float b)
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 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2303 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2304
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2305 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2306
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2307 if (xisint (b))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2308 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2309 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2310 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2311 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2312 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2313 result (i, j) = std::pow (a (i, j), static_cast<int> (b));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2314 }
7789 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 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2319 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2320 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2321 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2322 result (i, j) = std::pow (a (i, j), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2323 }
7789 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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2326 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2327 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2328
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2329 // -- 10 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2330 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2331 elem_xpow (const FloatComplexMatrix& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2332 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2333 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2334 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2335
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2336 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2337 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2338
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2339 if (nr != b_nr \|\| nc != b_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2340 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2341 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	2342 return octave_value ();
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2345 FloatComplexMatrix result (nr, nc);
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 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	2348 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	2349 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2350 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2351 float btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2352 if (xisint (btmp))
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2353 result (i, j) = std::pow (a (i, j), static_cast<int> (btmp));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2354 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2355 result (i, j) = std::pow (a (i, j), btmp);
7789 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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2358 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2359 }
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 // -- 11 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2362 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2363 elem_xpow (const FloatComplexMatrix& a, const FloatComplex& 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 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2366 octave_idx_type nc = a.cols ();
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 FloatComplexMatrix result (nr, nc);
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 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	2371 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	2372 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2373 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2374 result (i, j) = std::pow (a (i, j), b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2375 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2376
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2377 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2378 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2379
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2380 // -- 12 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2381 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2382 elem_xpow (const FloatComplexMatrix& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2383 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2384 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2385 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2386
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2387 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2388 octave_idx_type b_nc = b.cols ();
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 if (nr != b_nr \|\| nc != b_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2391 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2392 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	2393 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2394 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2395
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2396 FloatComplexMatrix result (nr, nc);
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 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	2399 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	2400 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2401 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2402 result (i, j) = std::pow (a (i, j), b (i, j));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2403 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2406 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2407
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2408 // 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	2409 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2410 // op2 \ op1: s nd cs cnd
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2411 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2412 // scalar \| \| * \| 3 \| * \| 9 \|
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 // N_d \| 1 \| 4 \| 7 \| 10 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2415 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2416 // complex_scalar \| * \| 5 \| * \| 11 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2417 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2418 // complex_N_d \| 2 \| 6 \| 8 \| 12 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2419 // +---+---+----+----+
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 // * -> not needed.
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 // 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	2424 // like
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2425 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2426 // 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	2427 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2428 // and
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2429 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2430 // 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	2431 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2432 // 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	2433 // 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	2434 // 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	2435 // library...
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 // -- 1 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2438 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2439 elem_xpow (float a, const FloatNDArray& b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2442
11011 a046d03e2417 slight simplifications in xpow.cc Jaroslav Hajek <highegg@gmail.com> parents: 10521 diff changeset	2443 if (a < 0.0 && ! b.all_integers ())
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2444 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2445 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2446 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2447 for (octave_idx_type i = 0; i < b.length (); i++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2448 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2449 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2450 result(i) = std::pow (atmp, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2451 }
7789 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 retval = result;
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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2456 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2457 FloatNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2458 for (octave_idx_type i = 0; i < b.length (); i++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2459 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2460 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2461 result (i) = std::pow (a, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2462 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2463
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2464 retval = result;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2467 return retval;
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
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2470 // -- 2 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2471 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2472 elem_xpow (float a, const FloatComplexNDArray& b)
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 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2475
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2476 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	2477 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2478 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	2479 result(i) = std::pow (a, b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2480 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2483 }
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 // -- 3 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2486 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2487 elem_xpow (const FloatNDArray& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2488 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2489 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2490
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2491 if (! xisint (b))
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2492 {
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2493 if (a.any_element_is_negative ())
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2494 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2495 FloatComplexNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2496
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2497 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2498 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2499 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2500
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2501 FloatComplex atmp (a (i));
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2502
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2503 result(i) = std::pow (atmp, b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2504 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2505
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2506 retval = result;
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2507 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2508 else
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2509 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2510 FloatNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2511 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2512 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2513 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2514 result(i) = std::pow (a(i), b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2515 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2516
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2517 retval = result;
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2518 }
7789 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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2521 {
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2522 NoAlias<FloatNDArray> result (a.dims ());
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2523
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2524 int ib = static_cast<int> (b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2525 if (ib == 2)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2526 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2527 for (octave_idx_type i = 0; i < a.length (); i++)
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2528 result(i) = a(i) * a(i);
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2529 }
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2530 else if (ib == 3)
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2531 {
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2532 for (octave_idx_type i = 0; i < a.length (); i++)
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2533 result(i) = a(i) * a(i) * a(i);
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2534 }
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2535 else if (ib == -1)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2536 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2537 for (octave_idx_type i = 0; i < a.length (); i++)
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2538 result(i) = 1.0f / a(i);
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2539 }
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2540 else
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2541 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2542 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2543 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2544 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2545 result(i) = std::pow (a(i), ib);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2546 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2547 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2548
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2549 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2550 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2551
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2552 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2553 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2554
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2555 // -- 4 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2556 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2557 elem_xpow (const FloatNDArray& a, const FloatNDArray& b)
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 octave_value retval;
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 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2562 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2563
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2564 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2565 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2566 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2567 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2568 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2569
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2570 int len = a.length ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2571
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2572 bool convert_to_complex = false;
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 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	2575 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2576 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2577 float atmp = a(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2578 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2579 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2580 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2581 convert_to_complex = true;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2582 goto done;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2583 }
7789 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 done:
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 if (convert_to_complex)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2589 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2590 FloatComplexNDArray complex_result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2591
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2592 for (octave_idx_type i = 0; i < len; i++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2593 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2594 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2595 FloatComplex atmp (a(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2596 complex_result(i) = std::pow (atmp, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2597 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2598
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2599 retval = complex_result;
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 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2602 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2603 FloatNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2604
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2605 for (octave_idx_type i = 0; i < len; i++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2606 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2607 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2608 result(i) = std::pow (a(i), b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2609 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2610
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2611 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2612 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2613
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2614 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2615 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2616
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2617 // -- 5 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2618 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2619 elem_xpow (const FloatNDArray& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2620 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2621 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2622
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2623 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	2624 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2625 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	2626 result(i) = std::pow (a(i), b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2627 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2628
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2629 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2630 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2631
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2632 // -- 6 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2633 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2634 elem_xpow (const FloatNDArray& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2635 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2636 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2637 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2638
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2639 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2640 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2641 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2642 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2643 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2644
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2645 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2646
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2647 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	2648 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2649 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	2650 result(i) = std::pow (a(i), b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2651 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2652
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2653 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2654 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2655
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2656 // -- 7 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2657 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2658 elem_xpow (const FloatComplex& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2659 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2660 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2661
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2662 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	2663 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2664 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2665 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2666 if (xisint (btmp))
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2667 result(i) = std::pow (a, static_cast<int> (btmp));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2668 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2669 result(i) = std::pow (a, btmp);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2670 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2671
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2672 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2673 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2674
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2675 // -- 8 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2676 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2677 elem_xpow (const FloatComplex& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2678 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2679 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2680
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2681 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	2682 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2683 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2684 result(i) = std::pow (a, b(i));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2685 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2686
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2687 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2688 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2689
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2690 // -- 9 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2691 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2692 elem_xpow (const FloatComplexNDArray& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2693 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2694 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2695
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2696 if (xisint (b))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2697 {
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2698 if (b == -1)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2699 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2700 for (octave_idx_type i = 0; i < a.length (); i++)
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	2701 result.xelem (i) = 1.0f / a(i);
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2702 }
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2703 else
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2704 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2705 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2706 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2707 octave_quit ();
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2708 result(i) = std::pow (a(i), static_cast<int> (b));
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2709 }
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2710 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2711 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2712 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2713 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2714 for (octave_idx_type i = 0; i < a.length (); i++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2715 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2716 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2717 result(i) = std::pow (a(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2718 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2719 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2720
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2721 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2722 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2723
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2724 // -- 10 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2725 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2726 elem_xpow (const FloatComplexNDArray& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2727 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2728 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2729 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2730
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2731 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2732 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2733 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2734 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2735 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2736
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2737 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2738
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2739 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	2740 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2741 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2742 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2743 if (xisint (btmp))
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2744 result(i) = std::pow (a(i), static_cast<int> (btmp));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2745 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2746 result(i) = std::pow (a(i), btmp);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2747 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2748
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2749 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2750 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2751
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2752 // -- 11 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2753 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2754 elem_xpow (const FloatComplexNDArray& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2755 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2756 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2757
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2758 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	2759 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2760 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2761 result(i) = std::pow (a(i), b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2762 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2763
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2764 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2765 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2766
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2767 // -- 12 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2768 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2769 elem_xpow (const FloatComplexNDArray& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2770 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2771 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2772 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2773
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2774 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2775 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2776 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2777 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2778 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2779
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2780 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2781
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2782 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	2783 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2784 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2785 result(i) = std::pow (a(i), b(i));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2786 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2787
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2788 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2789 }

Mercurial > octave-nkf

annotate src/xpow.cc @ 11030:231946a9ad55