octave: src/xpow.cc annotate

annotate src/xpow.cc @ 11523:fd0a3ac60b0e

update copyright notices

author	John W. Eaton <jwe@octave.org>
date	Fri, 14 Jan 2011 05:47:45 -0500
parents	231946a9ad55
children	12df7854fa7c

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
11523 fd0a3ac60b0e update copyright notices John W. Eaton <jwe@octave.org> parents: 11030 diff changeset	3 Copyright (C) 1993-2011 John W. Eaton
fd0a3ac60b0e update copyright notices John W. Eaton <jwe@octave.org> parents: 11030 diff changeset	4 Copyright (C) 2009-2010 VZLU Prague
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	5
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	6 This file is part of Octave.
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	7
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	8 Octave is free software; you can redistribute it and/or modify it
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	9 under the terms of the GNU General Public License as published by the
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6207 diff changeset	10 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6207 diff changeset	11 option) any later version.
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	12
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	13 Octave is distributed in the hope that it will be useful, but WITHOUT
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	16 for more details.
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	17
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	18 You should have received a copy of the GNU General Public License
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6207 diff changeset	19 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6207 diff changeset	20 <http://www.gnu.org/licenses/>.
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	21
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	22 */
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	23
240 a99f28f5e351 [project @ 1993-11-30 20:24:36 by jwe] jwe parents: 164 diff changeset	24 #ifdef HAVE_CONFIG_H
1192 b6360f2d4fa6 [project @ 1995-03-30 21:38:35 by jwe] jwe parents: 1009 diff changeset	25 #include <config.h>
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	26 #endif
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	27
1343 94bedeb289e5 [project @ 1995-09-04 00:29:21 by jwe] jwe parents: 1321 diff changeset	28 #include <cassert>
1580 0c49e5e8dd5b [project @ 1995-10-19 21:26:43 by jwe] jwe parents: 1567 diff changeset	29 #include <climits>
1343 94bedeb289e5 [project @ 1995-09-04 00:29:21 by jwe] jwe parents: 1321 diff changeset	30
4669 334a27c8f453 [project @ 2003-11-26 07:02:42 by jwe] jwe parents: 4543 diff changeset	31 #include "Array-util.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	32 #include "CColVector.h"
453 393e95f46b51 [project @ 1994-06-06 00:05:20 by jwe] jwe parents: 240 diff changeset	33 #include "CDiagMatrix.h"
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	34 #include "fCDiagMatrix.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	35 #include "CMatrix.h"
453 393e95f46b51 [project @ 1994-06-06 00:05:20 by jwe] jwe parents: 240 diff changeset	36 #include "EIG.h"
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	37 #include "fEIG.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	38 #include "dDiagMatrix.h"
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	39 #include "fDiagMatrix.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	40 #include "dMatrix.h"
8958 6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	41 #include "PermMatrix.h"
3585 d9803711e047 [project @ 2000-02-08 04:35:39 by jwe] jwe parents: 3178 diff changeset	42 #include "mx-cm-cdm.h"
1651 e846e361a265 [project @ 1995-12-20 06:59:12 by jwe] jwe parents: 1580 diff changeset	43 #include "oct-cmplx.h"
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	44 #include "Range.h"
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	45 #include "quit.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	46
19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	47 #include "error.h"
4055 7690958e7726 [project @ 2002-08-18 01:56:58 by jwe] jwe parents: 3585 diff changeset	48 #include "oct-obj.h"
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	49 #include "utils.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	50 #include "xpow.h"
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	51
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	52 #ifdef _OPENMP
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	53 #include <omp.h>
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	54 #endif
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	55
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	56 static inline int
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	57 xisint (double x)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	58 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	59 return (D_NINT (x) == x
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	60 && ((x >= 0 && x < INT_MAX)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	61 \|\| (x <= 0 && x > INT_MIN)));
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	62 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	63
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	64 // Safer pow functions.
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	65 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	66 // op2 \ op1: s m cs cm
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	67 // +-- +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	68 // scalar \| \| 1 \| 5 \| 7 \| 11 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	69 // +---+---+----+----+
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	70 // matrix \| 2 \| * \| 8 \| * \|
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	71 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	72 // complex_scalar \| 3 \| 6 \| 9 \| 12 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	73 // +---+---+----+----+
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	74 // complex_matrix \| 4 \| * \| 10 \| * \|
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	75 // +---+---+----+----+
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	76
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	77 // -- 1 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	78 octave_value
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	79 xpow (double a, double b)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	80 {
7543 b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	81 double retval;
b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	82
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	83 if (a < 0.0 && ! xisint (b))
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	84 {
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	85 Complex atmp (a);
4682 994f449a1eba [project @ 2003-12-19 15:37:14 by jwe] jwe parents: 4669 diff changeset	86
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	87 return std::pow (atmp, b);
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	88 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	89 else
7543 b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	90 retval = std::pow (a, b);
b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	91
b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	92 return retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	93 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	94
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	95 // -- 2 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	96 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	97 xpow (double a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	98 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	99 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	100
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	101 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	102 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	103
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	104 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	105 error ("for x^A, A must be square");
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	106 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	107 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	108 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	109
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	110 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	111 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	112 ComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	113 ComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	114
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	115 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	116 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	117 Complex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	118 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	119 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	120 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	121 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	122 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	123 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	124
11030 231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	125 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	126 if (a > 0)
231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	127 retval = real (C);
231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	128 else
231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	129 retval = C;
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	130 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	131 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	132 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	133 }
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 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	136 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	137
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	138 // -- 3 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	139 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	140 xpow (double a, const Complex& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	141 {
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	142 Complex result = std::pow (a, b);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	143 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	144 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	145
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	146 // -- 4 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	147 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	148 xpow (double a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	149 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	150 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	151
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	152 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	153 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	154
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	155 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	156 error ("for x^A, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	157 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	158 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	159 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	160
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	161 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	162 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	163 ComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	164 ComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	165
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	166 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	167 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	168 Complex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	169 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	170 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	171 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	172 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	173 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	174 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	175
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	176 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	177 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	178 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	179 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	180 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	181
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	182 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	183 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	184
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	185 // -- 5 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	186 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	187 xpow (const Matrix& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	188 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	189 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	190
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	191 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	192 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	193
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	194 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	195 error ("for A^b, A must be square");
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	196 else
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	197 {
2800 9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe] jwe parents: 2365 diff changeset	198 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	199 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	200 int btmp = static_cast<int> (b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	201 if (btmp == 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	202 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	203 retval = DiagMatrix (nr, nr, 1.0);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	204 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	205 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	206 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	207 // Too much copying?
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	208 // 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	209 // large...
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	210
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	211 Matrix atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	212 if (btmp < 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	213 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	214 btmp = -btmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	215
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	216 octave_idx_type info;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	217 double rcond = 0.0;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	218 MatrixType mattype (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	219
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	220 atmp = a.inverse (mattype, info, rcond, 1);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	221
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	222 if (info == -1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	223 warning ("inverse: matrix singular to machine\
1655 593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	224 precision, rcond = %g", rcond);
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	225 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	226 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	227 atmp = a;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	228
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	229 Matrix result (atmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	230
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	231 btmp--;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	232
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	233 while (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	234 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	235 if (btmp & 1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	236 result = result * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	237
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	238 btmp >>= 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	239
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	240 if (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	241 atmp = atmp * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	242 }
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 retval = result;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	245 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	246 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	247 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	248 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	249 EIG a_eig (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	250
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	251 if (! error_state)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	252 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	253 ComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	254 ComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	255
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	256 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	257 lambda(i) = std::pow (lambda(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	258
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	259 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	260
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	261 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	262 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	263 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	264 error ("xpow: matrix diagonalization failed");
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	265 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	266 }
1358 dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe] jwe parents: 1352 diff changeset	267
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	268 return retval;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	269 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	270
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	271 // -- 5d --
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	272 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	273 xpow (const DiagMatrix& a, double b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	274 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	275 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	276
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	277 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	278 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	279
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	280 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	281 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	282 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	283 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	284 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	285 {
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	286 DiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	287 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	288 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	289 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	290 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	291 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	292 {
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	293 ComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	294 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	295 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	296 retval = r;
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	297 }
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	298 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	299
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	300 return retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	301 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	302
8958 6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	303 // -- 5p --
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	304 octave_value
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	305 xpow (const PermMatrix& a, double b)
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	306 {
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	307 octave_value retval;
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	308 int btmp = static_cast<int> (b);
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	309 if (btmp == b)
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	310 return a.power (btmp);
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	311 else
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	312 return xpow (Matrix (a), b);
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	313 }
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	314
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	315 // -- 6 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	316 octave_value
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	317 xpow (const Matrix& a, const Complex& b)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	318 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	319 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	320
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	321 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	322 octave_idx_type nc = a.cols ();
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	323
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	324 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	325 error ("for A^b, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	326 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	327 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	328 EIG a_eig (a);
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	329
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	330 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	331 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	332 ComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	333 ComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	334
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	335 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	336 lambda(i) = std::pow (lambda(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	337
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	338 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	339
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	340 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	341 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	342 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	343 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	344 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	345
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	346 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	347 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	348
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	349 // -- 7 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	350 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	351 xpow (const Complex& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	352 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	353 Complex result;
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	354
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	355 if (xisint (b))
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	356 result = std::pow (a, static_cast<int> (b));
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	357 else
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	358 result = std::pow (a, b);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	359
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	360 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	361 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	362
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	363 // -- 8 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	364 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	365 xpow (const Complex& a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	366 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	367 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	368
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	369 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	370 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	371
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	372 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	373 error ("for x^A, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	374 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	375 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	376 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	377
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	378 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	379 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	380 ComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	381 ComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	382
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	383 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	384 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	385 Complex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	386 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	387 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	388 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	389 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	390 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	391 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	392
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	393 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	394 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	395 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	396 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	397 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	398
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	399 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	400 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	401
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	402 // -- 9 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	403 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	404 xpow (const Complex& a, const Complex& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	405 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	406 Complex result;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	407 result = std::pow (a, b);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	408 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	409 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	410
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	411 // -- 10 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	412 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	413 xpow (const Complex& a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	414 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	415 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	416
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	417 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	418 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	419
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	420 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	421 error ("for x^A, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	422 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	423 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	424 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	425
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	426 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	427 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	428 ComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	429 ComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	430
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	431 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	432 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	433 Complex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	434 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	435 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	436 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	437 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	438 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	439 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	440
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	441 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	442 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	443 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	444 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	445 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	446
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	447 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	448 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	449
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	450 // -- 11 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	451 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	452 xpow (const ComplexMatrix& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	453 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	454 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	455
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	456 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	457 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	458
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	459 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	460 error ("for A^b, A must be square");
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	461 else
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	462 {
2800 9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe] jwe parents: 2365 diff changeset	463 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	464 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	465 int btmp = static_cast<int> (b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	466 if (btmp == 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	467 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	468 retval = DiagMatrix (nr, nr, 1.0);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	469 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	470 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	471 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	472 // Too much copying?
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	473 // 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	474 // large...
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	475
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	476 ComplexMatrix atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	477 if (btmp < 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	478 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	479 btmp = -btmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	480
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	481 octave_idx_type info;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	482 double rcond = 0.0;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	483 MatrixType mattype (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	484
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	485 atmp = a.inverse (mattype, info, rcond, 1);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	486
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	487 if (info == -1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	488 warning ("inverse: matrix singular to machine\
1655 593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	489 precision, rcond = %g", rcond);
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	490 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	491 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	492 atmp = a;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	493
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	494 ComplexMatrix result (atmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	495
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	496 btmp--;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	497
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	498 while (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	499 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	500 if (btmp & 1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	501 result = result * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	502
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	503 btmp >>= 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	504
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	505 if (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	506 atmp = atmp * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	507 }
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 retval = result;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	510 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	511 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	512 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	513 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	514 EIG a_eig (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	515
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	516 if (! error_state)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	517 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	518 ComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	519 ComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	520
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	521 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	522 lambda(i) = std::pow (lambda(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	523
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	524 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	525
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	526 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	527 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	528 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	529 error ("xpow: matrix diagonalization failed");
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	530 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	531 }
1358 dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe] jwe parents: 1352 diff changeset	532
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	533 return retval;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	534 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	535
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	536 // -- 12 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	537 octave_value
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	538 xpow (const ComplexMatrix& a, const Complex& b)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	539 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	540 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	541
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	542 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	543 octave_idx_type nc = a.cols ();
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	544
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	545 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	546 error ("for A^b, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	547 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	548 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	549 EIG a_eig (a);
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	550
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	551 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	552 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	553 ComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	554 ComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	555
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	556 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	557 lambda(i) = std::pow (lambda(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	558
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	559 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	560
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	561 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	562 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	563 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	564 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	565 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	566
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	567 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	568 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	569
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	570 // -- 12d --
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	571 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	572 xpow (const ComplexDiagMatrix& a, const Complex& b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	573 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	574 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	575
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	576 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	577 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	578
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	579 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	580 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	581 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	582 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	583 ComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	584 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	585 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	586 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	587 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	588
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	589 return retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	590 }
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 // mixed
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	593 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	594 xpow (const ComplexDiagMatrix& a, double b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	595 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	596 return xpow (a, static_cast<Complex> (b));
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	597 }
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 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	600 xpow (const DiagMatrix& a, const Complex& b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	601 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	602 return xpow (ComplexDiagMatrix (a), b);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	603 }
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
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	606 // Safer pow functions that work elementwise for matrices.
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	607 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	608 // op2 \ op1: s m cs cm
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	609 // +-- +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	610 // scalar \| \| * \| 3 \| * \| 9 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	611 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	612 // matrix \| 1 \| 4 \| 7 \| 10 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	613 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	614 // complex_scalar \| * \| 5 \| * \| 11 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	615 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	616 // complex_matrix \| 2 \| 6 \| 8 \| 12 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	617 // +---+---+----+----+
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 // * -> not needed.
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	620
5775 ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe] jwe parents: 5667 diff changeset	621 // 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	622 // like
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	623 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	624 // 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	625 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	626 // and
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	627 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	628 // 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	629 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	630 // 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	631 // 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	632 // 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	633 // library...
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	634
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	635 // -- 1 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	636 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	637 elem_xpow (double a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	638 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	639 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	640
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	641 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	642 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	643
3162 7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	644 double d1, d2;
1358 dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe] jwe parents: 1352 diff changeset	645
3162 7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	646 if (a < 0.0 && ! b.all_integers (d1, d2))
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	647 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	648 Complex atmp (a);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	649 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	650
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	651 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	652 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	653 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	654 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	655 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	656 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	657
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	658 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	659 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	660 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	661 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	662 Matrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	663
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	664 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	665 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	666 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	667 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	668 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	669 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	670
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	671 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	672 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	673
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	674 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	675 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	676
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	677 // -- 2 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	678 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	679 elem_xpow (double a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	680 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	681 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	682 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	683
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	684 ComplexMatrix result (nr, nc);
3125 dcc6c985d72d [project @ 1998-01-16 05:08:21 by jwe] jwe parents: 2847 diff changeset	685 Complex atmp (a);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	686
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	687 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	688 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	689 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	690 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	691 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	692 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	693
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	694 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	695 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	696
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	697 static inline bool
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	698 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	699 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	700 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	701 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	702
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	703 octave_value
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	704 elem_xpow (double a, const Range& r)
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	705 {
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	706 octave_value retval;
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	707
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	708 // 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	709 // magnitude.
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	710 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	711 && same_sign (r.base (), r.limit ()))
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	712 {
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	713 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	714 Matrix result (1, n);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	715 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	716 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	717 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	718 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	719 result(0) = base;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	720 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	721 result(i) = (base *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	722 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	723 else
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	724 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	725 // 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	726 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	727 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	728 result(n-1) = limit;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	729 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	730 result(i) = (limit *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	731 }
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 retval = result;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	734 }
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	735 else
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	736 retval = elem_xpow (a, r.matrix_value ());
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	737
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	738 return retval;
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	739 }
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	740
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	741 // -- 3 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	742 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	743 elem_xpow (const Matrix& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	744 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	745 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	746
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	747 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	748 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	749
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	750 if (! xisint (b) && a.any_element_is_negative ())
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	751 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	752 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	753
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	754 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	755 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	756 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	757 octave_quit ();
5665 d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	758
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	759 Complex atmp (a (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	760
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	761 result (i, j) = std::pow (atmp, b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	762 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	763
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	764 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	765 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	766 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	767 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	768 Matrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	769
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	770 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	771 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	772 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	773 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	774 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	775 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	776
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	777 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	778 }
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 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	781 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	782
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	783 // -- 4 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	784 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	785 elem_xpow (const Matrix& a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	786 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	787 octave_value retval;
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	788
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	789 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	790 octave_idx_type nc = a.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	791
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	792 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	793 octave_idx_type b_nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	794
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	795 if (nr != b_nr \|\| nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	796 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	797 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	798 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	799 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	800
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	801 int convert_to_complex = 0;
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	802 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	803 for (octave_idx_type i = 0; i < nr; i++)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	804 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	805 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	806 double atmp = a (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	807 double btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	808 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	809 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	810 convert_to_complex = 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	811 goto done;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	812 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	813 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	814
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	815 done:
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	816
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	817 if (convert_to_complex)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	818 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	819 ComplexMatrix complex_result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	820
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	821 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	822 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	823 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	824 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	825 Complex atmp (a (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	826 Complex btmp (b (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	827 complex_result (i, j) = std::pow (atmp, btmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	828 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	829
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	830 retval = complex_result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	831 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	832 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	833 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	834 Matrix result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	835
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	836 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	837 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	838 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	839 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	840 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	841 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	842
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	843 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	844 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	845
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	846 return retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	847 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	848
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	849 // -- 5 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	850 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	851 elem_xpow (const Matrix& a, const Complex& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	852 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	853 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	854 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	855
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	856 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	857
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	858 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	859 for (octave_idx_type i = 0; i < nr; i++)
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	860 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	861 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	862 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	863 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	864
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	865 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	866 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	867
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	868 // -- 6 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	869 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	870 elem_xpow (const Matrix& a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	871 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	872 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	873 octave_idx_type nc = a.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	874
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	875 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	876 octave_idx_type b_nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	877
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	878 if (nr != b_nr \|\| nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	879 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	880 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	881 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	882 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	883
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	884 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	885
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	886 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	887 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	888 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	889 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	890 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	891 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	892
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	893 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	894 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	895
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	896 // -- 7 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	897 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	898 elem_xpow (const Complex& a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	899 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	900 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	901 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	902
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	903 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	904
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	905 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	906 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	907 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	908 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	909 double btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	910 if (xisint (btmp))
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	911 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	912 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	913 result (i, j) = std::pow (a, btmp);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	914 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	915
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	916 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	917 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	918
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	919 // -- 8 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	920 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	921 elem_xpow (const Complex& a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	922 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	923 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	924 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	925
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	926 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	927
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	928 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	929 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	930 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	931 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	932 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	933 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	934
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	935 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	936 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	937
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	938 octave_value
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	939 elem_xpow (const Complex& a, const Range& r)
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	940 {
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	941 octave_value retval;
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	942
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	943 // 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	944 // magnitude.
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	945 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	946 && same_sign (r.base (), r.limit ()))
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	947 {
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	948 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	949 ComplexMatrix result (1, n);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	950
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	951 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	952 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	953 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	954 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	955 result(0) = base;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	956 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	957 result(i) = (base *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	958 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	959 else
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	960 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	961 // 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	962 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	963 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	964 result(n-1) = limit;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	965 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	966 result(i) = (limit *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	967 }
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 retval = result;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	970 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	971 else
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	972 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	973
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	974
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	975 return retval;
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	976 }
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	977
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	978 // -- 9 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	979 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	980 elem_xpow (const ComplexMatrix& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	981 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	982 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	983 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	984
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	985 ComplexMatrix result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	986
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	987 if (xisint (b))
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	988 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	989 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	990 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	991 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	992 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	993 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	994 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	995 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	996 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	997 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	998 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	999 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	1000 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1001 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1002 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	1003 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	1004 }
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 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1007 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1008
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	1009 // -- 10 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	1010 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	1011 elem_xpow (const ComplexMatrix& a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1012 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1013 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1014 octave_idx_type nc = a.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1015
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1016 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1017 octave_idx_type b_nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1018
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1019 if (nr != b_nr \|\| nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1020 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1021 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1022 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1023 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1024
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1025 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1026
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1027 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1028 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	1029 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1030 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1031 double btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1032 if (xisint (btmp))
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1033 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	1034 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1035 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	1036 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1037
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	1038 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1039 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1040
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	1041 // -- 11 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	1042 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	1043 elem_xpow (const ComplexMatrix& a, const Complex& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1044 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1045 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1046 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1047
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1048 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1049
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1050 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1051 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	1052 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1053 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1054 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	1055 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1056
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	1057 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1058 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1059
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	1060 // -- 12 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	1061 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	1062 elem_xpow (const ComplexMatrix& a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1063 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1064 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1065 octave_idx_type nc = a.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1066
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1067 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1068 octave_idx_type b_nc = b.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1069
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1070 if (nr != b_nr \|\| nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1071 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1072 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1073 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1074 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1075
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1076 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1077
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1078 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1079 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	1080 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1081 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1082 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	1083 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1084
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	1085 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1086 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1087
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1088 // 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	1089 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1090 // op2 \ op1: s nd cs cnd
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1091 // +-- +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1092 // scalar \| \| * \| 3 \| * \| 9 \|
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1093 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1094 // N_d \| 1 \| 4 \| 7 \| 10 \|
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1095 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1096 // complex_scalar \| * \| 5 \| * \| 11 \|
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1097 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1098 // complex_N_d \| 2 \| 6 \| 8 \| 12 \|
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1099 // +---+---+----+----+
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 // * -> not needed.
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1102
5775 ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe] jwe parents: 5667 diff changeset	1103 // 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	1104 // like
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1105 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1106 // 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	1107 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1108 // and
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1109 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1110 // 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	1111 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1112 // 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	1113 // 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	1114 // 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	1115 // library...
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1116
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1117 // -- 1 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1118 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1119 elem_xpow (double a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1120 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1121 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1122
11011 a046d03e2417 slight simplifications in xpow.cc Jaroslav Hajek <highegg@gmail.com> parents: 10521 diff changeset	1123 if (a < 0.0 && ! b.all_integers ())
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1124 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1125 Complex atmp (a);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1126 ComplexNDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1127 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	1128 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1129 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1130 result(i) = std::pow (atmp, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1131 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1132
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1133 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1134 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1135 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1136 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1137 NDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1138 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	1139 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1140 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1141 result (i) = std::pow (a, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1142 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1143
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1144 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1145 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1146
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1147 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1148 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1149
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1150 // -- 2 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1151 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1152 elem_xpow (double a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1153 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1154 ComplexNDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1155
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1156 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	1157 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1158 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	1159 result(i) = std::pow (a, b(i));
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1160 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1161
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1162 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1163 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1164
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1165 // -- 3 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1166 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1167 elem_xpow (const NDArray& a, double b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1168 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1169 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1170
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1171 if (! xisint (b))
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1172 {
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1173 if (a.any_element_is_negative ())
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1174 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1175 ComplexNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1176
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1177 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1178 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1179 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1180
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1181 Complex atmp (a (i));
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1182
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1183 result(i) = std::pow (atmp, b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1184 }
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 retval = result;
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1187 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1188 else
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1189 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1190 NDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1191 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1192 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1193 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1194 result(i) = std::pow (a(i), b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1195 }
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 retval = result;
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1198 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1199 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1200 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1201 {
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1202 NoAlias<NDArray> result (a.dims ());
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1203
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1204 int ib = static_cast<int> (b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1205 if (ib == 2)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1206 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1207 for (octave_idx_type i = 0; i < a.length (); i++)
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1208 result(i) = a(i) * a(i);
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1209 }
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1210 else if (ib == 3)
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1211 {
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1212 for (octave_idx_type i = 0; i < a.length (); i++)
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1213 result(i) = a(i) * a(i) * a(i);
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1214 }
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1215 else if (ib == -1)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1216 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1217 for (octave_idx_type i = 0; i < a.length (); i++)
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1218 result(i) = 1.0 / a(i);
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1219 }
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1220 else
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1221 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1222 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1223 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1224 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1225 result(i) = std::pow (a(i), ib);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1226 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1227 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1228
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1229 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1230 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1231
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1232 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1233 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1234
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1235 // -- 4 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1236 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1237 elem_xpow (const NDArray& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1238 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1239 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1240
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1241 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1242 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1243
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1244 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1245 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1246 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1247 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1248 }
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 int len = a.length ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1251
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1252 bool convert_to_complex = false;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1253
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1254 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	1255 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1256 octave_quit ();
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1257 double atmp = a(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1258 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1259 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	1260 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1261 convert_to_complex = true;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1262 goto done;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1263 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1264 }
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 done:
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1267
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1268 if (convert_to_complex)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1269 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1270 ComplexNDArray complex_result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1271
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1272 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	1273 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1274 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1275 Complex atmp (a(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1276 complex_result(i) = std::pow (atmp, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1277 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1278
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1279 retval = complex_result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1280 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1281 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1282 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1283 NDArray result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1284
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1285 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	1286 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1287 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1288 result(i) = std::pow (a(i), b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1289 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1290
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1291 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1292 }
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 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1295 }
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 // -- 5 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1298 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1299 elem_xpow (const NDArray& a, const Complex& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1300 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1301 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1302
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1303 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	1304 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1305 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	1306 result(i) = std::pow (a(i), b);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1307 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1308
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1309 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1310 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1311
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1312 // -- 6 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1313 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1314 elem_xpow (const NDArray& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1315 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1316 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1317 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1318
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1319 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1320 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1321 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1322 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1323 }
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 ComplexNDArray result (a_dims);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1326
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1327 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	1328 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1329 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	1330 result(i) = std::pow (a(i), b(i));
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1331 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1334 }
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 // -- 7 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1337 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1338 elem_xpow (const Complex& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1339 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1340 ComplexNDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1341
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1342 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	1343 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1344 octave_quit ();
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1345 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1346 if (xisint (btmp))
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1347 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	1348 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1349 result(i) = std::pow (a, btmp);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1350 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1353 }
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 // -- 8 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1356 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1357 elem_xpow (const Complex& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1358 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1359 ComplexNDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1360
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1361 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	1362 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1363 octave_quit ();
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1364 result(i) = std::pow (a, b(i));
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1365 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1366
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1367 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1368 }
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 // -- 9 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1371 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1372 elem_xpow (const ComplexNDArray& a, double b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1373 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1374 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1375
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1376 if (xisint (b))
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1377 {
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1378 if (b == -1)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1379 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1380 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	1381 result.xelem (i) = 1.0 / a(i);
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1382 }
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1383 else
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1384 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1385 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1386 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1387 octave_quit ();
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1388 result(i) = std::pow (a(i), static_cast<int> (b));
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1389 }
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1390 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1391 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1392 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1393 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1394 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	1395 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1396 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1397 result(i) = std::pow (a(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1398 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1399 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1402 }
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 // -- 10 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1405 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1406 elem_xpow (const ComplexNDArray& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1407 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1408 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1409 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1410
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1411 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1412 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1413 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1414 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1415 }
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 ComplexNDArray result (a_dims);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1418
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1419 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	1420 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1421 octave_quit ();
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1422 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1423 if (xisint (btmp))
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1424 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	1425 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1426 result(i) = std::pow (a(i), btmp);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1427 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1430 }
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 // -- 11 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1433 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1434 elem_xpow (const ComplexNDArray& a, const Complex& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1435 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1436 ComplexNDArray result (a.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1437
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1438 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	1439 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1440 octave_quit ();
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1441 result(i) = std::pow (a(i), b);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1442 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1445 }
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 // -- 12 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1448 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1449 elem_xpow (const ComplexNDArray& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1450 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1451 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1452 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1453
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1454 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1455 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1456 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1457 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1458 }
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 ComplexNDArray result (a_dims);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1461
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1462 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	1463 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1464 octave_quit ();
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1465 result(i) = std::pow (a(i), b(i));
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1466 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1469 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1470
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1471 static inline int
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1472 xisint (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1473 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1474 return (D_NINT (x) == x
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1475 && ((x >= 0 && x < INT_MAX)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1476 \|\| (x <= 0 && x > INT_MIN)));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1477 }
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 // Safer pow functions.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1480 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1481 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1482 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1483 // scalar \| \| 1 \| 5 \| 7 \| 11 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1484 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1485 // matrix \| 2 \| * \| 8 \| * \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1486 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1487 // complex_scalar \| 3 \| 6 \| 9 \| 12 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1488 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1489 // complex_matrix \| 4 \| * \| 10 \| * \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1490 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1491
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1492 // -- 1 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1493 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1494 xpow (float a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1495 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1496 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1497
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1498 if (a < 0.0 && ! xisint (b))
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1499 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1500 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1501
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1502 return std::pow (atmp, b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1503 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1504 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1505 retval = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1506
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1507 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1508 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1509
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1510 // -- 2 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1511 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1512 xpow (float a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1513 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1514 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1515
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1516 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1517 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1518
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1519 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1520 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1521 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1522 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1523 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1524
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1525 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1526 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1527 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1528 FloatComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1529
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1530 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	1531 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1532 FloatComplex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1533 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1534 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1535 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1536 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1537 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1538 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1539
11030 231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	1540 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	1541
231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	1542 if (a > 0)
231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	1543 retval = real (C);
231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	1544 else
231946a9ad55 make the result of r^m real when r > 0 Jaroslav Hajek <highegg@gmail.com> parents: 11011 diff changeset	1545 retval = C;
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1546 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1547 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1548 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1549 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1552 }
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 // -- 3 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1555 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1556 xpow (float a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1557 {
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	1558 FloatComplex result = std::pow (a, b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1559 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1560 }
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 // -- 4 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1563 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1564 xpow (float a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1565 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1566 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1567
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1568 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1569 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1570
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1571 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1572 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1573 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1574 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1575 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1576
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1577 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1578 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1579 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1580 FloatComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1581
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1582 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	1583 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1584 FloatComplex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1585 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1586 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1587 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1588 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1589 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1590 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1591
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1592 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1593 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1594 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1595 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1596 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1599 }
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 // -- 5 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1602 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1603 xpow (const FloatMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1604 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1605 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1606
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1607 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1608 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1609
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1610 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1611 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1612 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1613 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1614 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1615 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1616 int btmp = static_cast<int> (b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1617 if (btmp == 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1618 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1619 retval = FloatDiagMatrix (nr, nr, 1.0);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1620 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1621 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1622 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1623 // Too much copying?
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1624 // 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	1625 // large...
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1626
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1627 FloatMatrix atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1628 if (btmp < 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1629 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1630 btmp = -btmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1631
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1632 octave_idx_type info;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1633 float rcond = 0.0;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1634 MatrixType mattype (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1635
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1636 atmp = a.inverse (mattype, info, rcond, 1);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1637
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1638 if (info == -1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1639 warning ("inverse: matrix singular to machine\
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1640 precision, rcond = %g", rcond);
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1641 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1642 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1643 atmp = a;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1644
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1645 FloatMatrix result (atmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1646
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1647 btmp--;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1648
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1649 while (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1650 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1651 if (btmp & 1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1652 result = result * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1653
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1654 btmp >>= 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1655
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1656 if (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1657 atmp = atmp * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1658 }
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 retval = result;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1661 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1662 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1663 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1664 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1665 FloatEIG a_eig (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1666
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1667 if (! error_state)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1668 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1669 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1670 FloatComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1671
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1672 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	1673 lambda(i) = std::pow (lambda(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1674
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1675 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1676
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1677 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1678 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1679 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1680 error ("xpow: matrix diagonalization failed");
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1681 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1682 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1685 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1686
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1687 // -- 5d --
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1688 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1689 xpow (const FloatDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1690 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1691 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1692
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1693 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1694 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1695
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1696 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1697 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1698 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1699 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1700 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1701 {
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1702 FloatDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1703 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	1704 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	1705 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1706 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1707 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1708 {
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1709 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1710 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	1711 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	1712 retval = r;
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1713 }
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1714 }
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 return retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1717 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1718
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1719 // -- 6 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1720 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1721 xpow (const FloatMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1722 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1723 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1724
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1725 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1726 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1727
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1728 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1729 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1730 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1731 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1732 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1733
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1734 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1735 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1736 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1737 FloatComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1738
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1739 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	1740 lambda(i) = std::pow (lambda(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1741
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1742 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1743
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1744 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1745 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1746 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1747 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1748 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1749
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1750 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1751 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1752
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1753 // -- 7 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1754 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1755 xpow (const FloatComplex& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1756 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1757 FloatComplex result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1758
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1759 if (xisint (b))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1760 result = std::pow (a, static_cast<int> (b));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1761 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1762 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1763
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1764 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1765 }
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 // -- 8 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1768 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1769 xpow (const FloatComplex& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1770 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1771 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1772
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1773 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1774 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1775
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1776 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1777 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1778 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1779 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1780 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1781
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1782 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1783 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1784 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1785 FloatComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1786
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1787 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	1788 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1789 FloatComplex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1790 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1791 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1792 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1793 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1794 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1795 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1796
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1797 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1798 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1799 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1800 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1801 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1804 }
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 // -- 9 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1807 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1808 xpow (const FloatComplex& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1809 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1810 FloatComplex result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1811 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1812 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1813 }
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 // -- 10 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1816 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1817 xpow (const FloatComplex& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1818 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1819 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1820
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1821 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1822 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1823
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1824 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1825 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1826 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1827 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1828 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1829
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1830 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1831 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1832 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1833 FloatComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1834
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1835 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	1836 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1837 FloatComplex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1838 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1839 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1840 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1841 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1842 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1843 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1844
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1845 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1846 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1847 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1848 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1849 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1852 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1853
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1854 // -- 11 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1855 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1856 xpow (const FloatComplexMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1857 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1858 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1859
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1860 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1861 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1862
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1863 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1864 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1865 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1866 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1867 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1868 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1869 int btmp = static_cast<int> (b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1870 if (btmp == 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1871 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1872 retval = FloatDiagMatrix (nr, nr, 1.0);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1873 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1874 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1875 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1876 // Too much copying?
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1877 // 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	1878 // large...
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1879
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1880 FloatComplexMatrix atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1881 if (btmp < 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1882 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1883 btmp = -btmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1884
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1885 octave_idx_type info;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1886 float rcond = 0.0;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1887 MatrixType mattype (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1888
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1889 atmp = a.inverse (mattype, info, rcond, 1);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1890
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1891 if (info == -1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1892 warning ("inverse: matrix singular to machine\
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1893 precision, rcond = %g", rcond);
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1894 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1895 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1896 atmp = a;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1897
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1898 FloatComplexMatrix result (atmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1899
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1900 btmp--;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1901
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1902 while (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1903 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1904 if (btmp & 1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1905 result = result * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1906
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1907 btmp >>= 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1908
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1909 if (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1910 atmp = atmp * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1911 }
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 retval = result;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1914 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1915 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1916 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1917 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1918 FloatEIG a_eig (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1919
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1920 if (! error_state)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1921 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1922 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1923 FloatComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1924
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1925 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	1926 lambda(i) = std::pow (lambda(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1927
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1928 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1929
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1930 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1931 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1932 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1933 error ("xpow: matrix diagonalization failed");
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1934 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1935 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1936
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1937 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1938 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1939
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1940 // -- 12 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1941 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1942 xpow (const FloatComplexMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1943 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1944 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1945
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1946 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1947 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1948
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1949 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1950 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1951 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1952 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1953 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1954
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1955 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1956 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1957 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1958 FloatComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1959
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1960 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	1961 lambda(i) = std::pow (lambda(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1962
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1963 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1964
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1965 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1966 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1967 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1968 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1969 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1970
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1971 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1972 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1973
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1974 // -- 12d --
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1975 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1976 xpow (const FloatComplexDiagMatrix& a, const FloatComplex& b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1977 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1978 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1979
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1980 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1981 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1982
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1983 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1984 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1985 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1986 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1987 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1988 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	1989 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	1990 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1991 }
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 return retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1994 }
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 // mixed
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1997 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1998 xpow (const FloatComplexDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1999 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2000 return xpow (a, static_cast<FloatComplex> (b));
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2001 }
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 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2004 xpow (const FloatDiagMatrix& a, const FloatComplex& b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2005 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2006 return xpow (FloatComplexDiagMatrix (a), b);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2007 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	2008
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2009 // Safer pow functions that work elementwise for matrices.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2010 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2011 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2012 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2013 // scalar \| \| * \| 3 \| * \| 9 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2014 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2015 // matrix \| 1 \| 4 \| 7 \| 10 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2016 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2017 // complex_scalar \| * \| 5 \| * \| 11 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2018 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2019 // complex_matrix \| 2 \| 6 \| 8 \| 12 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2020 // +---+---+----+----+
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 // * -> not needed.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2023
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2024 // 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	2025 // like
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2026 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2027 // 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	2028 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2029 // and
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2030 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2031 // 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	2032 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2033 // 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	2034 // 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	2035 // 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	2036 // library...
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2037
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2038 // -- 1 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2039 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2040 elem_xpow (float a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2041 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2042 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2043
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2044 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2045 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2046
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2047 float d1, d2;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2048
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2049 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	2050 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2051 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2052 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2053
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2054 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	2055 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	2056 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2057 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2058 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	2059 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2060
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2061 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2062 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2063 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2064 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2065 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2066
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2067 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	2068 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	2069 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2070 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2071 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	2072 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2073
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2074 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2075 }
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 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2078 }
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 // -- 2 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2081 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2082 elem_xpow (float a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2083 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2084 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2085 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2086
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2087 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2088 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2089
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2090 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	2091 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	2092 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2093 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2094 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	2095 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2098 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2099
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2100 // -- 3 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2101 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2102 elem_xpow (const FloatMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2103 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2104 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2105
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2106 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2107 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2108
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2109 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	2110 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2111 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2112
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2113 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	2114 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	2115 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2116 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2117
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2118 FloatComplex atmp (a (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2119
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2120 result (i, j) = std::pow (atmp, b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2121 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2122
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2123 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2124 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2125 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2126 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2127 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2128
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2129 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	2130 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	2131 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2132 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2133 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	2134 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2135
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2136 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2137 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2138
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2139 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2140 }
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 // -- 4 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2143 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2144 elem_xpow (const FloatMatrix& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2145 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2146 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2147
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2148 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2149 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2150
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2151 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2152 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2153
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2154 if (nr != b_nr \|\| nc != b_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2155 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2156 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	2157 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2158 }
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 int convert_to_complex = 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2161 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	2162 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	2163 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2164 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2165 float atmp = a (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2166 float btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2167 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	2168 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2169 convert_to_complex = 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2170 goto done;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2171 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2172 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2173
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2174 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2175
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2176 if (convert_to_complex)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2177 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2178 FloatComplexMatrix complex_result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2179
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2180 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	2181 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	2182 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2183 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2184 FloatComplex atmp (a (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2185 FloatComplex btmp (b (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2186 complex_result (i, j) = std::pow (atmp, btmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2187 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2188
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2189 retval = complex_result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2190 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2191 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2192 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2193 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2194
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2195 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	2196 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	2197 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2198 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2199 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	2200 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2201
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2202 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2203 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2204
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2205 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2206 }
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 // -- 5 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2209 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2210 elem_xpow (const FloatMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2211 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2212 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2213 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2214
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2215 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2216
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2217 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2218 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2219 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2220 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2221 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	2222 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2223
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2224 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2225 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2226
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2227 // -- 6 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2228 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2229 elem_xpow (const FloatMatrix& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2230 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2231 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2232 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2233
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2234 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2235 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2236
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2237 if (nr != b_nr \|\| nc != b_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2238 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2239 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	2240 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2241 }
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 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2244
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2245 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	2246 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	2247 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2248 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2249 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	2250 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2253 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2254
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2255 // -- 7 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2256 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2257 elem_xpow (const FloatComplex& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2258 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2259 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2260 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2261
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2262 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2263
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2264 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	2265 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	2266 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2267 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2268 float btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2269 if (xisint (btmp))
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2270 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	2271 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2272 result (i, j) = std::pow (a, btmp);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2273 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2276 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2277
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2278 // -- 8 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2279 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2280 elem_xpow (const FloatComplex& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2281 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2282 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2283 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2284
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2285 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2286
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2287 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	2288 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	2289 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2290 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2291 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	2292 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2295 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2296
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2297 // -- 9 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2298 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2299 elem_xpow (const FloatComplexMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2300 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2301 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2302 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2303
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2304 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2305
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2306 if (xisint (b))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2307 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2308 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	2309 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	2310 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2311 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2312 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	2313 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2314 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2315 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2316 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2317 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	2318 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	2319 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2320 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2321 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	2322 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2323 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2324
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2325 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2326 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2327
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2328 // -- 10 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2329 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2330 elem_xpow (const FloatComplexMatrix& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2331 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2332 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2333 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2334
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2335 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2336 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2337
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2338 if (nr != b_nr \|\| nc != b_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2339 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2340 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	2341 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2342 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2343
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2344 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2345
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2346 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	2347 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	2348 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2349 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2350 float btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2351 if (xisint (btmp))
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2352 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	2353 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2354 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	2355 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2358 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2359
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2360 // -- 11 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2361 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2362 elem_xpow (const FloatComplexMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2363 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2364 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2365 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2366
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2367 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2368
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2369 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	2370 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	2371 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2372 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2373 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	2374 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2377 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2378
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2379 // -- 12 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2380 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2381 elem_xpow (const FloatComplexMatrix& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2382 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2383 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2384 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2385
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2386 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2387 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2388
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2389 if (nr != b_nr \|\| nc != b_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2390 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2391 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	2392 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2393 }
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 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2396
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2397 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	2398 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	2399 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2400 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2401 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	2402 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2405 }
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 // 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	2408 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2409 // op2 \ op1: s nd cs cnd
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2410 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2411 // scalar \| \| * \| 3 \| * \| 9 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2412 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2413 // N_d \| 1 \| 4 \| 7 \| 10 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2414 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2415 // complex_scalar \| * \| 5 \| * \| 11 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2416 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2417 // complex_N_d \| 2 \| 6 \| 8 \| 12 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2418 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2419 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2420 // * -> not needed.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2421
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2422 // 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	2423 // like
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2424 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2425 // 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	2426 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2427 // and
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2428 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2429 // 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	2430 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2431 // 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	2432 // 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	2433 // 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	2434 // library...
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2435
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2436 // -- 1 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2437 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2438 elem_xpow (float a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2439 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2440 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2441
11011 a046d03e2417 slight simplifications in xpow.cc Jaroslav Hajek <highegg@gmail.com> parents: 10521 diff changeset	2442 if (a < 0.0 && ! b.all_integers ())
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2443 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2444 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2445 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2446 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	2447 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2448 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2449 result(i) = std::pow (atmp, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2450 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2451
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2452 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2453 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2454 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2455 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2456 FloatNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2457 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	2458 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2459 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2460 result (i) = std::pow (a, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2461 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2462
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2463 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2464 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2465
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2466 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2467 }
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 // -- 2 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2470 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2471 elem_xpow (float a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2472 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2473 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2474
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2475 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	2476 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2477 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	2478 result(i) = std::pow (a, b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2479 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2480
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2481 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2482 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2483
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2484 // -- 3 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2485 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2486 elem_xpow (const FloatNDArray& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2487 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2488 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2489
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2490 if (! xisint (b))
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2491 {
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2492 if (a.any_element_is_negative ())
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2493 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2494 FloatComplexNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2495
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2496 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2497 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2498 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2499
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2500 FloatComplex atmp (a (i));
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2501
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2502 result(i) = std::pow (atmp, b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2503 }
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 retval = result;
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2506 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2507 else
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2508 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2509 FloatNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2510 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2511 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2512 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2513 result(i) = std::pow (a(i), b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2514 }
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 retval = result;
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2517 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2518 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2519 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2520 {
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2521 NoAlias<FloatNDArray> result (a.dims ());
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2522
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2523 int ib = static_cast<int> (b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2524 if (ib == 2)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2525 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2526 for (octave_idx_type i = 0; i < a.length (); i++)
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2527 result(i) = a(i) * a(i);
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2528 }
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2529 else if (ib == 3)
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2530 {
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2531 for (octave_idx_type i = 0; i < a.length (); i++)
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2532 result(i) = a(i) * a(i) * a(i);
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2533 }
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2534 else if (ib == -1)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2535 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2536 for (octave_idx_type i = 0; i < a.length (); i++)
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2537 result(i) = 1.0f / a(i);
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2538 }
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2539 else
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2540 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2541 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2542 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2543 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2544 result(i) = std::pow (a(i), ib);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2545 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2546 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2547
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2548 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2549 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2550
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2551 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2552 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2553
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2554 // -- 4 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2555 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2556 elem_xpow (const FloatNDArray& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2557 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2558 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2559
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2560 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2561 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2562
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2563 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2564 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2565 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2566 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2567 }
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 int len = a.length ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2570
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2571 bool convert_to_complex = false;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2572
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2573 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	2574 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2575 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2576 float atmp = a(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2577 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2578 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	2579 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2580 convert_to_complex = true;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2581 goto done;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2582 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2583 }
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 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2586
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2587 if (convert_to_complex)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2588 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2589 FloatComplexNDArray complex_result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2590
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2591 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	2592 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2593 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2594 FloatComplex atmp (a(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2595 complex_result(i) = std::pow (atmp, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2596 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2597
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2598 retval = complex_result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2599 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2600 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2601 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2602 FloatNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2603
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2604 for (octave_idx_type i = 0; i < len; i++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2605 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2606 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2607 result(i) = std::pow (a(i), b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2608 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2609
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2610 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2611 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2612
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2613 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2614 }
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 // -- 5 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2617 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2618 elem_xpow (const FloatNDArray& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2619 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2620 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2621
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2622 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	2623 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2624 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	2625 result(i) = std::pow (a(i), b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2626 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2627
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2628 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2629 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2630
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2631 // -- 6 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2632 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2633 elem_xpow (const FloatNDArray& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2634 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2635 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2636 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2637
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2638 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2639 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2640 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2641 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2642 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2643
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2644 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2645
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2646 for (octave_idx_type i = 0; i < a.length (); i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2647 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2648 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	2649 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	2650 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2653 }
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 // -- 7 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2656 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2657 elem_xpow (const FloatComplex& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2658 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2659 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2660
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2661 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	2662 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2663 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2664 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2665 if (xisint (btmp))
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2666 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	2667 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2668 result(i) = std::pow (a, btmp);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2669 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2670
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2671 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2672 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2673
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2674 // -- 8 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2675 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2676 elem_xpow (const FloatComplex& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2677 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2678 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2679
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2680 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	2681 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2682 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2683 result(i) = std::pow (a, b(i));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2684 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2687 }
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 // -- 9 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2690 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2691 elem_xpow (const FloatComplexNDArray& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2692 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2693 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2694
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2695 if (xisint (b))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2696 {
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2697 if (b == -1)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2698 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2699 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	2700 result.xelem (i) = 1.0f / a(i);
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2701 }
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2702 else
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2703 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2704 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2705 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2706 octave_quit ();
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2707 result(i) = std::pow (a(i), static_cast<int> (b));
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2708 }
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2709 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2710 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2711 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2712 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2713 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	2714 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2715 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2716 result(i) = std::pow (a(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2717 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2718 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2721 }
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 // -- 10 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2724 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2725 elem_xpow (const FloatComplexNDArray& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2726 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2727 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2728 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2729
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2730 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2731 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2732 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2733 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2734 }
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 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2737
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2738 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	2739 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2740 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2741 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2742 if (xisint (btmp))
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2743 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	2744 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2745 result(i) = std::pow (a(i), btmp);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2746 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2749 }
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 // -- 11 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2752 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2753 elem_xpow (const FloatComplexNDArray& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2754 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2755 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2756
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2757 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	2758 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2759 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2760 result(i) = std::pow (a(i), b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2761 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2764 }
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 // -- 12 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2767 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2768 elem_xpow (const FloatComplexNDArray& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2769 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2770 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2771 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2772
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2773 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2774 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2775 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2776 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2777 }
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 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2780
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2781 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	2782 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2783 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2784 result(i) = std::pow (a(i), b(i));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2785 }
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 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2788 }

Mercurial > octave

annotate src/xpow.cc @ 11523:fd0a3ac60b0e