octave-nkf: src/xpow.cc annotate

annotate src/xpow.cc @ 10824:1e6664326d32

rsf2csf: Change first documentation line to active voice.

author	Rik <octave@nomad.inbox5.com>
date	Tue, 27 Jul 2010 10:46:11 -0700
parents	4d1fc073fbb7
children	a046d03e2417

rev	line source
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1 /*
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	2
7017 a1dbe9d80eee [project @ 2007-10-12 21:27:11 by jwe] jwe parents: 7016 diff changeset	3 Copyright (C) 1993, 1994, 1995, 1996, 1997, 1998, 2000, 2002, 2003,
8920 eb63fbe60fab update copyright notices John W. Eaton <jwe@octave.org> parents: 8382 diff changeset	4 2004, 2005, 2006, 2007, 2008 John W. Eaton
10521 4d1fc073fbb7 add some missing copyright stmts Jaroslav Hajek <highegg@gmail.com> parents: 10363 diff changeset	5 Copyright (C) 2009, 2010 VZLU Prague
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	6
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	7 This file is part of Octave.
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	8
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	9 Octave is free software; you can redistribute it and/or modify it
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	10 under the terms of the GNU General Public License as published by the
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6207 diff changeset	11 Free Software Foundation; either version 3 of the License, or (at your
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6207 diff changeset	12 option) any later version.
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	13
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	14 Octave is distributed in the hope that it will be useful, but WITHOUT
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	17 for more details.
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	18
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	19 You should have received a copy of the GNU General Public License
7016 93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6207 diff changeset	20 along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe] jwe parents: 6207 diff changeset	21 <http://www.gnu.org/licenses/>.
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	22
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	23 */
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	24
240 a99f28f5e351 [project @ 1993-11-30 20:24:36 by jwe] jwe parents: 164 diff changeset	25 #ifdef HAVE_CONFIG_H
1192 b6360f2d4fa6 [project @ 1995-03-30 21:38:35 by jwe] jwe parents: 1009 diff changeset	26 #include <config.h>
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	27 #endif
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	28
1343 94bedeb289e5 [project @ 1995-09-04 00:29:21 by jwe] jwe parents: 1321 diff changeset	29 #include <cassert>
1580 0c49e5e8dd5b [project @ 1995-10-19 21:26:43 by jwe] jwe parents: 1567 diff changeset	30 #include <climits>
1343 94bedeb289e5 [project @ 1995-09-04 00:29:21 by jwe] jwe parents: 1321 diff changeset	31
4669 334a27c8f453 [project @ 2003-11-26 07:02:42 by jwe] jwe parents: 4543 diff changeset	32 #include "Array-util.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	33 #include "CColVector.h"
453 393e95f46b51 [project @ 1994-06-06 00:05:20 by jwe] jwe parents: 240 diff changeset	34 #include "CDiagMatrix.h"
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	35 #include "fCDiagMatrix.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	36 #include "CMatrix.h"
453 393e95f46b51 [project @ 1994-06-06 00:05:20 by jwe] jwe parents: 240 diff changeset	37 #include "EIG.h"
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	38 #include "fEIG.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	39 #include "dDiagMatrix.h"
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	40 #include "fDiagMatrix.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	41 #include "dMatrix.h"
8958 6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	42 #include "PermMatrix.h"
3585 d9803711e047 [project @ 2000-02-08 04:35:39 by jwe] jwe parents: 3178 diff changeset	43 #include "mx-cm-cdm.h"
1651 e846e361a265 [project @ 1995-12-20 06:59:12 by jwe] jwe parents: 1580 diff changeset	44 #include "oct-cmplx.h"
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	45 #include "Range.h"
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	46 #include "quit.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	47
19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	48 #include "error.h"
4055 7690958e7726 [project @ 2002-08-18 01:56:58 by jwe] jwe parents: 3585 diff changeset	49 #include "oct-obj.h"
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	50 #include "utils.h"
1352 19c10b8657d5 [project @ 1995-09-05 08:11:57 by jwe] jwe parents: 1343 diff changeset	51 #include "xpow.h"
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	52
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	53 #ifdef _OPENMP
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	54 #include <omp.h>
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	55 #endif
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	56
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	57 static inline int
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	58 xisint (double x)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	59 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	60 return (D_NINT (x) == x
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	61 && ((x >= 0 && x < INT_MAX)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	62 \|\| (x <= 0 && x > INT_MIN)));
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	63 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	64
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	65 // Safer pow functions.
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	66 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	67 // op2 \ op1: s m cs cm
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	68 // +-- +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	69 // scalar \| \| 1 \| 5 \| 7 \| 11 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	70 // +---+---+----+----+
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	71 // matrix \| 2 \| * \| 8 \| * \|
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	72 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	73 // complex_scalar \| 3 \| 6 \| 9 \| 12 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	74 // +---+---+----+----+
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	75 // complex_matrix \| 4 \| * \| 10 \| * \|
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	76 // +---+---+----+----+
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	77
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	78 // -- 1 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	79 octave_value
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	80 xpow (double a, double b)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	81 {
7543 b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	82 double retval;
b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	83
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	84 if (a < 0.0 && ! xisint (b))
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	85 {
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	86 Complex atmp (a);
4682 994f449a1eba [project @ 2003-12-19 15:37:14 by jwe] jwe parents: 4669 diff changeset	87
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	88 return std::pow (atmp, b);
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	89 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	90 else
7543 b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	91 retval = std::pow (a, b);
b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	92
b84c5cbc0812 print.m: handle gif and jpg devices John W. Eaton <jwe@octave.org> parents: 7017 diff changeset	93 return retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	94 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	95
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	96 // -- 2 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	97 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	98 xpow (double a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	99 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	100 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	101
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	102 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	103 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	104
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	105 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	106 error ("for x^A, A must be square");
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	107 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	108 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	109 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	110
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	111 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	112 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	113 ComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	114 ComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	115
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	116 for (octave_idx_type i = 0; i < nr; i++)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	117 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	118 Complex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	119 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	120 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	121 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	122 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	123 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	124 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	125
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	126 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	127 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	128 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	129 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	130 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	131
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	132 return retval;
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
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	135 // -- 3 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	136 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	137 xpow (double a, const Complex& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	138 {
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	139 Complex result = std::pow (a, b);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	140 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	141 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	142
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	143 // -- 4 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	144 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	145 xpow (double a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	146 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	147 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	148
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	149 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	150 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	151
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	152 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	153 error ("for x^A, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	154 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	155 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	156 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	157
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	158 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	159 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	160 ComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	161 ComplexMatrix Q (b_eig.eigenvectors ());
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 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	164 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	165 Complex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	166 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	167 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	168 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	169 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	170 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	171 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	172
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	173 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	174 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	175 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	176 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	177 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	178
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	179 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	180 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	181
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	182 // -- 5 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	183 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	184 xpow (const Matrix& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	185 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	186 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	187
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	188 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	189 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	190
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	191 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	192 error ("for A^b, A must be square");
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	193 else
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	194 {
2800 9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe] jwe parents: 2365 diff changeset	195 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	196 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	197 int btmp = static_cast<int> (b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	198 if (btmp == 0)
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 retval = DiagMatrix (nr, nr, 1.0);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	201 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	202 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	203 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	204 // Too much copying?
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	205 // 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	206 // large...
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	207
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	208 Matrix atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	209 if (btmp < 0)
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 btmp = -btmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	212
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	213 octave_idx_type info;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	214 double rcond = 0.0;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	215 MatrixType mattype (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	216
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	217 atmp = a.inverse (mattype, info, rcond, 1);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	218
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	219 if (info == -1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	220 warning ("inverse: matrix singular to machine\
1655 593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	221 precision, rcond = %g", rcond);
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	222 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	223 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	224 atmp = a;
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 Matrix result (atmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	227
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	228 btmp--;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	229
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	230 while (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	231 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	232 if (btmp & 1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	233 result = result * atmp;
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 btmp >>= 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	236
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	237 if (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	238 atmp = atmp * atmp;
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
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	241 retval = result;
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 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	244 else
10315 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 EIG a_eig (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	247
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	248 if (! error_state)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	249 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	250 ComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	251 ComplexMatrix Q (a_eig.eigenvectors ());
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 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	254 lambda(i) = std::pow (lambda(i), b);
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 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	257
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	258 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	259 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	260 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	261 error ("xpow: matrix diagonalization failed");
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	262 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	263 }
1358 dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe] jwe parents: 1352 diff changeset	264
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	265 return retval;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	266 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	267
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	268 // -- 5d --
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	269 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	270 xpow (const DiagMatrix& a, double b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	271 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	272 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	273
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	274 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	275 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	276
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	277 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	278 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	279 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	280 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	281 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	282 {
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	283 DiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	284 for (octave_idx_type i = 0; i < nc; i++)
10363 a0728e81ed25 improve diag matrix interface & implementation Jaroslav Hajek <highegg@gmail.com> parents: 10315 diff changeset	285 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	286 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	287 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	288 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	289 {
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	290 ComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	291 for (octave_idx_type i = 0; i < nc; i++)
10363 a0728e81ed25 improve diag matrix interface & implementation Jaroslav Hajek <highegg@gmail.com> parents: 10315 diff changeset	292 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	293 retval = r;
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	294 }
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	295 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	296
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	297 return retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	298 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	299
8958 6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	300 // -- 5p --
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	301 octave_value
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	302 xpow (const PermMatrix& a, double b)
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	303 {
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	304 octave_value retval;
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	305 int btmp = static_cast<int> (b);
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	306 if (btmp == b)
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	307 return a.power (btmp);
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	308 else
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	309 return xpow (Matrix (a), b);
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	310 }
6ccc12cc65ef implement raising a permutation matrix to integer power Jaroslav Hajek <highegg@gmail.com> parents: 8920 diff changeset	311
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	312 // -- 6 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	313 octave_value
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	314 xpow (const Matrix& a, const Complex& b)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	315 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	316 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	317
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	318 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	319 octave_idx_type nc = a.cols ();
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	320
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	321 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	322 error ("for A^b, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	323 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	324 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	325 EIG a_eig (a);
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	326
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	327 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	328 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	329 ComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	330 ComplexMatrix Q (a_eig.eigenvectors ());
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 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	333 lambda(i) = std::pow (lambda(i), b);
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 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	336
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	337 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	338 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	339 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	340 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	341 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	342
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	343 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	344 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	345
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	346 // -- 7 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	347 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	348 xpow (const Complex& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	349 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	350 Complex result;
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	351
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	352 if (xisint (b))
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	353 result = std::pow (a, static_cast<int> (b));
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	354 else
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	355 result = std::pow (a, b);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	356
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	357 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	358 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	359
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	360 // -- 8 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	361 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	362 xpow (const Complex& a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	363 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	364 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	365
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	366 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	367 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	368
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	369 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	370 error ("for x^A, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	371 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	372 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	373 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	374
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	375 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	376 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	377 ComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	378 ComplexMatrix Q (b_eig.eigenvectors ());
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 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	381 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	382 Complex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	383 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	384 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	385 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	386 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	387 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	388 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	389
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	390 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	391 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	392 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	393 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	394 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	395
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	396 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	397 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	398
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	399 // -- 9 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	400 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	401 xpow (const Complex& a, const Complex& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	402 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	403 Complex result;
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	404 result = std::pow (a, b);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	405 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	406 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	407
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	408 // -- 10 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	409 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	410 xpow (const Complex& a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	411 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	412 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	413
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	414 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	415 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	416
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	417 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	418 error ("for x^A, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	419 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	420 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	421 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	422
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	423 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	424 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	425 ComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	426 ComplexMatrix Q (b_eig.eigenvectors ());
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 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	429 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	430 Complex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	431 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	432 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	433 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	434 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	435 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	436 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	437
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	438 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	439 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	440 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	441 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	442 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	443
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	444 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	445 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	446
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	447 // -- 11 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	448 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	449 xpow (const ComplexMatrix& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	450 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	451 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	452
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	453 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	454 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	455
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	456 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	457 error ("for A^b, A must be square");
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	458 else
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	459 {
2800 9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe] jwe parents: 2365 diff changeset	460 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	461 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	462 int btmp = static_cast<int> (b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	463 if (btmp == 0)
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 retval = DiagMatrix (nr, nr, 1.0);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	466 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	467 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	468 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	469 // Too much copying?
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	470 // 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	471 // large...
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	472
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	473 ComplexMatrix atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	474 if (btmp < 0)
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 btmp = -btmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	477
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	478 octave_idx_type info;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	479 double rcond = 0.0;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	480 MatrixType mattype (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	481
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	482 atmp = a.inverse (mattype, info, rcond, 1);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	483
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	484 if (info == -1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	485 warning ("inverse: matrix singular to machine\
1655 593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe] jwe parents: 1651 diff changeset	486 precision, rcond = %g", rcond);
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	487 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	488 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	489 atmp = a;
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 ComplexMatrix result (atmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	492
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	493 btmp--;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	494
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	495 while (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	496 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	497 if (btmp & 1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	498 result = result * atmp;
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 btmp >>= 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	501
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	502 if (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	503 atmp = atmp * atmp;
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
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	506 retval = result;
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 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	509 else
10315 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 EIG a_eig (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	512
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	513 if (! error_state)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	514 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	515 ComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	516 ComplexMatrix Q (a_eig.eigenvectors ());
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 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	519 lambda(i) = std::pow (lambda(i), b);
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 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	522
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	523 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	524 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	525 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	526 error ("xpow: matrix diagonalization failed");
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	527 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	528 }
1358 dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe] jwe parents: 1352 diff changeset	529
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	530 return retval;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	531 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	532
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	533 // -- 12 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	534 octave_value
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	535 xpow (const ComplexMatrix& a, const Complex& b)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	536 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	537 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	538
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	539 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	540 octave_idx_type nc = a.cols ();
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	541
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	542 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	543 error ("for A^b, A must be square");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	544 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	545 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	546 EIG a_eig (a);
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	547
91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	548 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	549 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	550 ComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	551 ComplexMatrix Q (a_eig.eigenvectors ());
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 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	554 lambda(i) = std::pow (lambda(i), b);
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 ComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	557
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	558 retval = ComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	559 }
7578 91f8446ce4ae handle possible error from EIG John W. Eaton <jwe@octave.org> parents: 7543 diff changeset	560 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	561 error ("xpow: matrix diagonalization failed");
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	562 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	563
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	564 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	565 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	566
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	567 // -- 12d --
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	568 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	569 xpow (const ComplexDiagMatrix& a, const Complex& b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	570 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	571 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	572
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	573 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	574 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	575
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	576 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	577 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	578 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	579 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	580 ComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	581 for (octave_idx_type i = 0; i < nc; i++)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	582 r(i, i) = std::pow (a(i, i), b);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	583 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	584 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	585
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	586 return retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	587 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	588
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	589 // mixed
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	590 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	591 xpow (const ComplexDiagMatrix& a, double b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	592 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	593 return xpow (a, static_cast<Complex> (b));
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	594 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	595
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	596 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	597 xpow (const DiagMatrix& a, const Complex& b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	598 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	599 return xpow (ComplexDiagMatrix (a), b);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	600 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	601
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	602
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	603 // Safer pow functions that work elementwise for matrices.
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	604 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	605 // op2 \ op1: s m cs cm
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	606 // +-- +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	607 // scalar \| \| * \| 3 \| * \| 9 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	608 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	609 // matrix \| 1 \| 4 \| 7 \| 10 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	610 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	611 // complex_scalar \| * \| 5 \| * \| 11 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	612 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	613 // complex_matrix \| 2 \| 6 \| 8 \| 12 \|
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	614 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	615 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	616 // * -> not needed.
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	617
5775 ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe] jwe parents: 5667 diff changeset	618 // FIXME -- these functions need to be fixed so that things
3162 7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	619 // like
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	620 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	621 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	622 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	623 // and
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	624 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	625 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	626 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	627 // produce identical results. Also, it would be nice if -1^0.5
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	628 // produced a pure imaginary result instead of a complex number with a
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	629 // small real part. But perhaps that's really a problem with the math
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	630 // library...
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	631
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	632 // -- 1 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	633 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	634 elem_xpow (double a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	635 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	636 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	637
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	638 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	639 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	640
3162 7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	641 double d1, d2;
1358 dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe] jwe parents: 1352 diff changeset	642
3162 7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe] jwe parents: 3125 diff changeset	643 if (a < 0.0 && ! b.all_integers (d1, d2))
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	644 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	645 Complex atmp (a);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	646 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	647
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	648 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	649 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	650 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	651 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	652 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	653 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	654
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	655 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	656 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	657 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	658 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	659 Matrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	660
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	661 for (octave_idx_type j = 0; j < nc; j++)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	662 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	663 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	664 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	665 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	666 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	667
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	668 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	669 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	670
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	671 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	672 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	673
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	674 // -- 2 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	675 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	676 elem_xpow (double a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	677 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	678 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	679 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	680
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	681 ComplexMatrix result (nr, nc);
3125 dcc6c985d72d [project @ 1998-01-16 05:08:21 by jwe] jwe parents: 2847 diff changeset	682 Complex atmp (a);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	683
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	684 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	685 for (octave_idx_type i = 0; i < nr; i++)
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	686 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	687 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	688 result (i, j) = std::pow (atmp, b (i, j));
4153 6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe] jwe parents: 4055 diff changeset	689 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	690
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	691 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	692 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	693
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	694 static inline bool
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	695 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	696 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	697 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	698 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	699
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	700 octave_value
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	701 elem_xpow (double a, const Range& r)
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	702 {
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	703 octave_value retval;
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	704
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	705 // 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	706 // magnitude.
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	707 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	708 && same_sign (r.base (), r.limit ()))
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	709 {
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	710 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	711 Matrix result (1, n);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	712 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	713 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	714 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	715 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	716 result(0) = base;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	717 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	718 result(i) = (base *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	719 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	720 else
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	721 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	722 // 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	723 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	724 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	725 result(n-1) = limit;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	726 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	727 result(i) = (limit *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	728 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	729
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	730 retval = result;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	731 }
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	732 else
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	733 retval = elem_xpow (a, r.matrix_value ());
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	734
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	735 return retval;
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	736 }
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	737
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	738 // -- 3 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	739 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	740 elem_xpow (const Matrix& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	741 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	742 octave_value retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	743
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	744 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	745 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	746
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	747 if (! xisint (b) && a.any_element_is_negative ())
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	748 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	749 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	750
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	751 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	752 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	753 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	754 octave_quit ();
5665 d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe] jwe parents: 5664 diff changeset	755
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	756 Complex atmp (a (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	757
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	758 result (i, j) = std::pow (atmp, b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	759 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	760
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	761 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	762 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	763 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	764 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	765 Matrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	766
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	767 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	768 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	769 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	770 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	771 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	772 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	773
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	774 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	775 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	776
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	777 return retval;
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
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	780 // -- 4 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	781 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	782 elem_xpow (const Matrix& a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	783 {
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	784 octave_value retval;
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	785
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	786 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	787 octave_idx_type nc = a.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	788
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	789 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	790 octave_idx_type b_nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	791
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	792 if (nr != b_nr \|\| nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	793 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	794 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	795 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	796 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	797
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	798 int convert_to_complex = 0;
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	799 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	800 for (octave_idx_type i = 0; i < nr; i++)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	801 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	802 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	803 double atmp = a (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	804 double btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	805 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	806 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	807 convert_to_complex = 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	808 goto done;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	809 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	810 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	811
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	812 done:
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 if (convert_to_complex)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	815 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	816 ComplexMatrix complex_result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	817
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	818 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	819 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	820 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	821 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	822 Complex atmp (a (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	823 Complex btmp (b (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	824 complex_result (i, j) = std::pow (atmp, btmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	825 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	826
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	827 retval = complex_result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	828 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	829 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	830 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	831 Matrix result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	832
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	833 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	834 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	835 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	836 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	837 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	838 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	839
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	840 retval = result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	841 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	842
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	843 return retval;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	844 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	845
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	846 // -- 5 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	847 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	848 elem_xpow (const Matrix& a, const Complex& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	849 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	850 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	851 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	852
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	853 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	854
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	855 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	856 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	857 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	858 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	859 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	860 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	861
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	862 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	863 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	864
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	865 // -- 6 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	866 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	867 elem_xpow (const Matrix& a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	868 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	869 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	870 octave_idx_type nc = a.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	871
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	872 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	873 octave_idx_type b_nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	874
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	875 if (nr != b_nr \|\| nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	876 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	877 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	878 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	879 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	880
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	881 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	882
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	883 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	884 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	885 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	886 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	887 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	888 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	889
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	890 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	891 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	892
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	893 // -- 7 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	894 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	895 elem_xpow (const Complex& a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	896 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	897 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	898 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	899
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	900 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	901
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	902 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	903 for (octave_idx_type i = 0; i < nr; i++)
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	904 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	905 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	906 double btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	907 if (xisint (btmp))
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	908 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	909 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	910 result (i, j) = std::pow (a, btmp);
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	911 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	912
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	913 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	914 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	915
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	916 // -- 8 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	917 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	918 elem_xpow (const Complex& a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	919 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	920 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	921 octave_idx_type nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	922
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	923 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	924
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	925 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	926 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	927 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	928 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	929 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	930 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	931
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	932 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	933 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	934
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	935 octave_value
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	936 elem_xpow (const Complex& a, const Range& r)
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	937 {
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	938 octave_value retval;
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	939
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	940 // 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	941 // magnitude.
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	942 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	943 && same_sign (r.base (), r.limit ()))
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	944 {
9123 f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	945 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	946 ComplexMatrix result (1, n);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	947
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	948 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	949 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	950 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	951 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	952 result(0) = base;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	953 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	954 result(i) = (base *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	955 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	956 else
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	957 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	958 // 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	959 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	960 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	961 result(n-1) = limit;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	962 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	963 result(i) = (limit *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	964 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	965
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	966 retval = result;
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 else
f39b98237d5c use more robust and less aggressive scalar .^ range optimization Jaroslav Hajek <highegg@gmail.com> parents: 9103 diff changeset	969 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	970
9103 10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	971
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	972 return retval;
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	973 }
10bed8fbec99 optimize scalar .^ range operation Jaroslav Hajek <highegg@gmail.com> parents: 8979 diff changeset	974
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	975 // -- 9 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	976 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	977 elem_xpow (const ComplexMatrix& a, double b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	978 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	979 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	980 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	981
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	982 ComplexMatrix result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	983
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	984 if (xisint (b))
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	985 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	986 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	987 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	988 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	989 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	990 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	991 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	992 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	993 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	994 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	995 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	996 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	997 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	998 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	999 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	1000 }
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	1001 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	1002
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	1003 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1004 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1005
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	1006 // -- 10 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	1007 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	1008 elem_xpow (const ComplexMatrix& a, const Matrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1009 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1010 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1011 octave_idx_type nc = a.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1012
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1013 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1014 octave_idx_type b_nc = b.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1015
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1016 if (nr != b_nr \|\| nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1017 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1018 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1019 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1020 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1021
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1022 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1023
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1024 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1025 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	1026 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1027 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1028 double btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1029 if (xisint (btmp))
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1030 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	1031 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1032 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	1033 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1034
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	1035 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1036 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1037
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	1038 // -- 11 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	1039 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	1040 elem_xpow (const ComplexMatrix& a, const Complex& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1041 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1042 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1043 octave_idx_type nc = a.cols ();
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1044
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1045 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1046
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1047 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1048 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	1049 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1050 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1051 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	1052 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1053
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	1054 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1055 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1056
767 42731861ee09 [project @ 1994-10-05 21:26:54 by jwe] jwe parents: 453 diff changeset	1057 // -- 12 --
2086 bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe] jwe parents: 1996 diff changeset	1058 octave_value
164 e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe] jwe parents: 1 diff changeset	1059 elem_xpow (const ComplexMatrix& a, const ComplexMatrix& b)
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1060 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1061 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1062 octave_idx_type nc = a.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1063
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1064 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1065 octave_idx_type b_nc = b.cols ();
2365 7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1066
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1067 if (nr != b_nr \|\| nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1068 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1069 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1070 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe] jwe parents: 2305 diff changeset	1071 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1072
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1073 ComplexMatrix result (nr, nc);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1074
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1075 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1076 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	1077 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1078 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1079 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	1080 }
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1081
1567 1da33230f424 [project @ 1995-10-18 00:47:12 by jwe] jwe parents: 1358 diff changeset	1082 return result;
1 78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1083 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe] jwe parents: diff changeset	1084
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1085 // 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	1086 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1087 // op2 \ op1: s nd cs cnd
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1088 // +-- +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1089 // scalar \| \| * \| 3 \| * \| 9 \|
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1090 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1091 // N_d \| 1 \| 4 \| 7 \| 10 \|
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1092 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1093 // complex_scalar \| * \| 5 \| * \| 11 \|
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1094 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1095 // complex_N_d \| 2 \| 6 \| 8 \| 12 \|
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1096 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1097 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1098 // * -> not needed.
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1099
5775 ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe] jwe parents: 5667 diff changeset	1100 // 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	1101 // like
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1102 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1103 // 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	1104 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1105 // and
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1106 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1107 // a = -1; b = [ 0, 0.5, 1 ]; 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	1108 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1109 // 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	1110 // 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	1111 // 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	1112 // library...
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1113
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1114 // -- 1 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1115 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1116 elem_xpow (double a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1117 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1118 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1119
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1120 double d1, d2;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1121
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1122 if (a < 0.0 && ! b.all_integers (d1, d2))
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1123 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1124 Complex atmp (a);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1125 ComplexNDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1126 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	1127 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1128 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1129 result(i) = std::pow (atmp, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1130 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1131
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1132 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1133 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1134 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1135 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1136 NDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1137 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	1138 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1139 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1140 result (i) = std::pow (a, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1141 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1142
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1143 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1144 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1145
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1146 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1147 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1148
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1149 // -- 2 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1150 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1151 elem_xpow (double a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1152 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1153 ComplexNDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1154
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1155 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	1156 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1157 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	1158 result(i) = std::pow (a, b(i));
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1159 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1160
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1161 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1162 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1163
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1164 // -- 3 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1165 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1166 elem_xpow (const NDArray& a, double b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1167 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1168 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1169
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1170 if (! xisint (b))
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1171 {
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1172 if (a.any_element_is_negative ())
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1173 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1174 ComplexNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1175
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1176 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1177 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1178 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1179
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1180 Complex atmp (a (i));
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1181
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1182 result(i) = std::pow (atmp, b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1183 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1184
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1185 retval = result;
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1186 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1187 else
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1188 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1189 NDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1190 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1191 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1192 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1193 result(i) = std::pow (a(i), b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1194 }
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 retval = result;
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1197 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1198 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1199 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1200 {
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1201 NoAlias<NDArray> result (a.dims ());
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1202
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1203 int ib = static_cast<int> (b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1204 if (ib == 2)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1205 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1206 for (octave_idx_type i = 0; i < a.length (); i++)
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1207 result(i) = a(i) * a(i);
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1208 }
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1209 else if (ib == 3)
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1210 {
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1211 for (octave_idx_type i = 0; i < a.length (); i++)
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1212 result(i) = a(i) * a(i) * a(i);
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1213 }
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1214 else if (ib == -1)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1215 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1216 for (octave_idx_type i = 0; i < a.length (); i++)
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	1217 result(i) = 1.0 / a(i);
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1218 }
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1219 else
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1220 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1221 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1222 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1223 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1224 result(i) = std::pow (a(i), ib);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1225 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1226 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1227
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1228 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1229 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1230
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1231 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1232 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1233
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1234 // -- 4 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1235 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1236 elem_xpow (const NDArray& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1237 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1238 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1239
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1240 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1241 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1242
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1243 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1244 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1245 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1246 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1247 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1248
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1249 int len = a.length ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1250
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1251 bool convert_to_complex = false;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1252
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1253 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	1254 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1255 octave_quit ();
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1256 double atmp = a(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1257 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1258 if (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	1259 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1260 convert_to_complex = true;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1261 goto done;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1262 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1263 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1264
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1265 done:
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1266
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1267 if (convert_to_complex)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1268 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1269 ComplexNDArray complex_result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1270
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1271 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	1272 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1273 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1274 Complex atmp (a(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1275 complex_result(i) = std::pow (atmp, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1276 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1277
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1278 retval = complex_result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1279 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1280 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1281 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1282 NDArray result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1283
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1284 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	1285 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1286 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1287 result(i) = std::pow (a(i), b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1288 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1289
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1290 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1291 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1292
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1293 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1294 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1295
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1296 // -- 5 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1297 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1298 elem_xpow (const NDArray& a, const Complex& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1299 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1300 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1301
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1302 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	1303 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1304 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	1305 result(i) = std::pow (a(i), b);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1306 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1307
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1308 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1309 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1310
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1311 // -- 6 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1312 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1313 elem_xpow (const NDArray& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1314 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1315 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1316 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1317
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1318 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1319 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1320 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1321 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1322 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1323
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1324 ComplexNDArray result (a_dims);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1325
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1326 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	1327 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1328 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	1329 result(i) = std::pow (a(i), b(i));
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1330 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1331
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1332 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1333 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1334
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1335 // -- 7 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1336 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1337 elem_xpow (const Complex& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1338 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1339 ComplexNDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1340
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1341 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	1342 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1343 octave_quit ();
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1344 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1345 if (xisint (btmp))
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1346 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	1347 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1348 result(i) = std::pow (a, btmp);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1349 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1352 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1353
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1354 // -- 8 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1355 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1356 elem_xpow (const Complex& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1357 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1358 ComplexNDArray result (b.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1359
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1360 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	1361 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1362 octave_quit ();
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1363 result(i) = std::pow (a, b(i));
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1364 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1367 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1368
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1369 // -- 9 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1370 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1371 elem_xpow (const ComplexNDArray& a, double b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1372 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1373 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1374
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1375 if (xisint (b))
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1376 {
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1377 if (b == -1)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1378 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1379 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	1380 result.xelem (i) = 1.0 / a(i);
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1381 }
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1382 else
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1383 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1384 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1385 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1386 octave_quit ();
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1387 result(i) = std::pow (a(i), static_cast<int> (b));
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1388 }
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	1389 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1390 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1391 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1392 {
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1393 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	1394 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1395 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1396 result(i) = std::pow (a(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1397 }
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1398 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1401 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1402
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1403 // -- 10 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1404 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1405 elem_xpow (const ComplexNDArray& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1406 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1407 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1408 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1409
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1410 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1411 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1412 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1413 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1414 }
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 ComplexNDArray result (a_dims);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1417
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1418 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	1419 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1420 octave_quit ();
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1421 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1422 if (xisint (btmp))
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1423 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	1424 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1425 result(i) = std::pow (a(i), btmp);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1426 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1429 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1430
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1431 // -- 11 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1432 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1433 elem_xpow (const ComplexNDArray& a, const Complex& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1434 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1435 ComplexNDArray result (a.dims ());
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1436
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1437 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	1438 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1439 octave_quit ();
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1440 result(i) = std::pow (a(i), b);
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1441 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1444 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1445
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1446 // -- 12 --
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1447 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1448 elem_xpow (const ComplexNDArray& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1449 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1450 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1451 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1452
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1453 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1454 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1455 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1456 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1457 }
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 ComplexNDArray result (a_dims);
5275 23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1460
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe] jwe parents: 5260 diff changeset	1461 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	1462 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	1463 octave_quit ();
5260 deed800e7bef [project @ 2005-03-30 23:18:58 by jwe] jwe parents: 4790 diff changeset	1464 result(i) = std::pow (a(i), b(i));
4543 79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1465 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1468 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe] jwe parents: 4153 diff changeset	1469
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1470 static inline int
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1471 xisint (float x)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1472 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1473 return (D_NINT (x) == x
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1474 && ((x >= 0 && x < INT_MAX)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1475 \|\| (x <= 0 && x > INT_MIN)));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1476 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1477
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1478 // Safer pow functions.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1479 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1480 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1481 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1482 // scalar \| \| 1 \| 5 \| 7 \| 11 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1483 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1484 // matrix \| 2 \| * \| 8 \| * \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1485 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1486 // complex_scalar \| 3 \| 6 \| 9 \| 12 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1487 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1488 // complex_matrix \| 4 \| * \| 10 \| * \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1489 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1490
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1491 // -- 1 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1492 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1493 xpow (float a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1494 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1495 float retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1496
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	1497 if (a < 0.0 && ! xisint (b))
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1498 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1499 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1500
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1501 return std::pow (atmp, b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1502 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1503 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1504 retval = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1505
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1506 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1507 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1508
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1509 // -- 2 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1510 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1511 xpow (float a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1512 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1513 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1514
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1515 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1516 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1517
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1518 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1519 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1520 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1521 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1522 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1523
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1524 if (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1525 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1526 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1527 FloatComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1528
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1529 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	1530 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1531 FloatComplex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1532 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1533 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1534 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1535 lambda(i) = std::pow (a, elt);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1536 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1537 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1538
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1539 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1540 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1541 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1542 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1543 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1544
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1545 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1546 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1547
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1548 // -- 3 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1549 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1550 xpow (float a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1551 {
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	1552 FloatComplex result = std::pow (a, b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1553 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1554 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1555
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1556 // -- 4 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1557 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1558 xpow (float a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1559 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1560 octave_value retval;
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 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1563 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1564
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1565 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1566 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1567 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1568 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1569 FloatEIG b_eig (b);
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 (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1572 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1573 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1574 FloatComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1575
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1576 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	1577 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1578 FloatComplex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1579 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1580 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1581 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1582 lambda(i) = std::pow (a, elt);
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 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1585
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1586 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1587 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1588 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1589 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1590 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1591
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1592 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1593 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1594
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1595 // -- 5 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1596 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1597 xpow (const FloatMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1598 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1599 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1600
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1601 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1602 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1603
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1604 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1605 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1606 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1607 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1608 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1609 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1610 int btmp = static_cast<int> (b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1611 if (btmp == 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1612 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1613 retval = FloatDiagMatrix (nr, nr, 1.0);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1614 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1615 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1616 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1617 // Too much copying?
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1618 // 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	1619 // large...
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 FloatMatrix atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1622 if (btmp < 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1623 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1624 btmp = -btmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1625
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1626 octave_idx_type info;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1627 float rcond = 0.0;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1628 MatrixType mattype (a);
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 atmp = a.inverse (mattype, info, rcond, 1);
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 if (info == -1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1633 warning ("inverse: matrix singular to machine\
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1634 precision, rcond = %g", rcond);
10315 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 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1637 atmp = a;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1638
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1639 FloatMatrix result (atmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1640
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1641 btmp--;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1642
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1643 while (btmp > 0)
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 if (btmp & 1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1646 result = result * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1647
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1648 btmp >>= 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1649
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1650 if (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1651 atmp = atmp * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1652 }
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 retval = result;
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 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1657 else
10315 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 FloatEIG a_eig (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1660
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1661 if (! error_state)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1662 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1663 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1664 FloatComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1665
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1666 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	1667 lambda(i) = std::pow (lambda(i), b);
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 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1670
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1671 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1672 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1673 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1674 error ("xpow: matrix diagonalization failed");
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1675 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1676 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1677
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1678 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1679 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1680
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1681 // -- 5d --
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1682 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1683 xpow (const FloatDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1684 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1685 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1686
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1687 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1688 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1689
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1690 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1691 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1692 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1693 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1694 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1695 {
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1696 FloatDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1697 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	1698 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	1699 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1700 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1701 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1702 {
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1703 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1704 for (octave_idx_type i = 0; i < nc; i++)
10363 a0728e81ed25 improve diag matrix interface & implementation Jaroslav Hajek <highegg@gmail.com> parents: 10315 diff changeset	1705 r.dgelem (i) = std::pow (static_cast<FloatComplex> (a.dgelem (i)), b);
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1706 retval = r;
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1707 }
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1708 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1709
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1710 return retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1711 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1712
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1713 // -- 6 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1714 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1715 xpow (const FloatMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1716 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1717 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1718
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1719 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1720 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1721
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1722 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1723 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1724 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1725 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1726 FloatEIG a_eig (a);
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 (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1729 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1730 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1731 FloatComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1732
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1733 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	1734 lambda(i) = std::pow (lambda(i), b);
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 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1737
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1738 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1739 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1740 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1741 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1742 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1743
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1744 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1745 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1746
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1747 // -- 7 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1748 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1749 xpow (const FloatComplex& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1750 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1751 FloatComplex result;
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 if (xisint (b))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1754 result = std::pow (a, static_cast<int> (b));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1755 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1756 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1757
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1758 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1759 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1760
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1761 // -- 8 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1762 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1763 xpow (const FloatComplex& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1764 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1765 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1766
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1767 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1768 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1769
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1770 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1771 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1772 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1773 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1774 FloatEIG b_eig (b);
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 (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1777 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1778 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1779 FloatComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1780
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1781 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	1782 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1783 FloatComplex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1784 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1785 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1786 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1787 lambda(i) = std::pow (a, elt);
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 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1790
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1791 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1792 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1793 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1794 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1795 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1796
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1797 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1798 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1799
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1800 // -- 9 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1801 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1802 xpow (const FloatComplex& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1803 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1804 FloatComplex result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1805 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1806 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1807 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1808
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1809 // -- 10 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1810 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1811 xpow (const FloatComplex& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1812 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1813 octave_value retval;
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 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1816 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1817
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1818 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1819 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1820 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1821 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1822 FloatEIG b_eig (b);
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 (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1825 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1826 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1827 FloatComplexMatrix Q (b_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1828
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1829 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	1830 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1831 FloatComplex elt = lambda(i);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1832 if (std::imag (elt) == 0.0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1833 lambda(i) = std::pow (a, std::real (elt));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1834 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1835 lambda(i) = std::pow (a, elt);
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 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1838
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1839 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1840 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1841 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1842 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1843 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1844
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1845 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1846 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1847
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1848 // -- 11 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1849 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1850 xpow (const FloatComplexMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1851 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1852 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1853
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1854 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1855 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1856
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1857 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1858 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1859 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1860 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1861 if (static_cast<int> (b) == b)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1862 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1863 int btmp = static_cast<int> (b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1864 if (btmp == 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1865 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1866 retval = FloatDiagMatrix (nr, nr, 1.0);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1867 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1868 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1869 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1870 // Too much copying?
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1871 // 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	1872 // large...
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 FloatComplexMatrix atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1875 if (btmp < 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1876 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1877 btmp = -btmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1878
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1879 octave_idx_type info;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1880 float rcond = 0.0;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1881 MatrixType mattype (a);
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 atmp = a.inverse (mattype, info, rcond, 1);
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 if (info == -1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1886 warning ("inverse: matrix singular to machine\
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1887 precision, rcond = %g", rcond);
10315 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 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1890 atmp = a;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1891
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1892 FloatComplexMatrix result (atmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1893
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1894 btmp--;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1895
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1896 while (btmp > 0)
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 if (btmp & 1)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1899 result = result * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1900
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1901 btmp >>= 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1902
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1903 if (btmp > 0)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1904 atmp = atmp * atmp;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1905 }
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 retval = result;
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 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1910 else
10315 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 FloatEIG a_eig (a);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1913
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1914 if (! error_state)
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1915 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1916 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1917 FloatComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1918
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1919 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	1920 lambda(i) = std::pow (lambda(i), b);
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 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1923
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1924 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1925 }
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1926 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1927 error ("xpow: matrix diagonalization failed");
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1928 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1929 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1930
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1931 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1932 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1933
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1934 // -- 12 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1935 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1936 xpow (const FloatComplexMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1937 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1938 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1939
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1940 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1941 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1942
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1943 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1944 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1945 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1946 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1947 FloatEIG a_eig (a);
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 (! error_state)
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1950 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1951 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1952 FloatComplexMatrix Q (a_eig.eigenvectors ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1953
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1954 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	1955 lambda(i) = std::pow (lambda(i), b);
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 FloatComplexDiagMatrix D (lambda);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1958
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1959 retval = FloatComplexMatrix (Q * D * Q.inverse ());
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1960 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1961 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	1962 error ("xpow: matrix diagonalization failed");
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1963 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1964
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1965 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1966 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	1967
8382 9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1968 // -- 12d --
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1969 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1970 xpow (const FloatComplexDiagMatrix& a, const FloatComplex& b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1971 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1972 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1973
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1974 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1975 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1976
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1977 if (nr == 0 \|\| nc == 0 \|\| nr != nc)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1978 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1979 else
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1980 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1981 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1982 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	1983 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	1984 retval = r;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1985 }
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 return retval;
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1988 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1989
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1990 // mixed
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1991 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1992 xpow (const FloatComplexDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1993 {
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1994 return xpow (a, static_cast<FloatComplex> (b));
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1995 }
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1996
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1997 octave_value
9b20a4847056 implement scalar powers of diag matrices Jaroslav Hajek <highegg@gmail.com> parents: 7789 diff changeset	1998 xpow (const FloatDiagMatrix& a, const FloatComplex& 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 (FloatComplexDiagMatrix (a), 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
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2003 // Safer pow functions that work elementwise for matrices.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2004 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2005 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2006 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2007 // scalar \| \| * \| 3 \| * \| 9 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2008 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2009 // matrix \| 1 \| 4 \| 7 \| 10 \|
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 // complex_scalar \| * \| 5 \| * \| 11 \|
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 // complex_matrix \| 2 \| 6 \| 8 \| 12 \|
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 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2016 // * -> not needed.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2017
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2018 // 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	2019 // like
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 // 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	2022 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2023 // and
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2024 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2025 // 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	2026 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2027 // 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	2028 // 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	2029 // 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	2030 // library...
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2031
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2032 // -- 1 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2033 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2034 elem_xpow (float a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2035 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2036 octave_value retval;
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 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2039 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2040
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2041 float d1, d2;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2042
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2043 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	2044 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2045 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2046 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2047
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2048 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	2049 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	2050 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2051 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2052 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	2053 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2054
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2055 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2056 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2057 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2058 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2059 FloatMatrix result (nr, nc);
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 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	2062 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	2063 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2064 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2065 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	2066 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2067
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2068 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2069 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2070
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2071 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2072 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2073
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2074 // -- 2 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2075 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2076 elem_xpow (float a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2077 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2078 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2079 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2080
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2081 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2082 FloatComplex atmp (a);
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 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	2085 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	2086 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2087 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2088 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	2089 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2090
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2091 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2092 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2093
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2094 // -- 3 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2095 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2096 elem_xpow (const FloatMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2097 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2098 octave_value retval;
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 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2101 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2102
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2103 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	2104 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2105 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2106
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2107 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	2108 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	2109 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2110 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2111
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2112 FloatComplex atmp (a (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2113
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2114 result (i, j) = std::pow (atmp, b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2115 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2116
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2117 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2118 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2119 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2120 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2121 FloatMatrix result (nr, nc);
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 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	2124 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	2125 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2126 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2127 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	2128 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2129
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2130 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2131 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2132
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2133 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2134 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2135
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2136 // -- 4 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2137 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2138 elem_xpow (const FloatMatrix& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2139 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2140 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2141
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2142 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2143 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2144
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2145 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2146 octave_idx_type b_nc = b.cols ();
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 if (nr != b_nr \|\| nc != b_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2149 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2150 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	2151 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2152 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2153
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2154 int convert_to_complex = 0;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2155 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	2156 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	2157 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2158 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2159 float atmp = a (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2160 float btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2161 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	2162 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2163 convert_to_complex = 1;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2164 goto done;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2165 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2166 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2167
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2168 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2169
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2170 if (convert_to_complex)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2171 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2172 FloatComplexMatrix complex_result (nr, nc);
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 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	2175 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	2176 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2177 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2178 FloatComplex atmp (a (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2179 FloatComplex btmp (b (i, j));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2180 complex_result (i, j) = std::pow (atmp, btmp);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2181 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2182
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2183 retval = complex_result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2184 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2185 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2186 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2187 FloatMatrix result (nr, nc);
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 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	2190 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	2191 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2192 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2193 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	2194 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2195
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2196 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2197 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2198
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2199 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2200 }
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 // -- 5 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2203 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2204 elem_xpow (const FloatMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2205 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2206 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2207 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2208
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2209 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2210
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2211 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	2212 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	2213 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2214 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2215 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	2216 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2217
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2218 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2219 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2220
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2221 // -- 6 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2222 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2223 elem_xpow (const FloatMatrix& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2224 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2225 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2226 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2227
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2228 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2229 octave_idx_type b_nc = b.cols ();
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 if (nr != b_nr \|\| nc != b_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2232 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2233 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	2234 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2235 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2236
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2237 FloatComplexMatrix result (nr, 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 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	2240 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	2241 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2242 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2243 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	2244 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2245
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2246 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2247 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2248
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2249 // -- 7 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2250 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2251 elem_xpow (const FloatComplex& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2252 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2253 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2254 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2255
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2256 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2257
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2258 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	2259 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	2260 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2261 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2262 float btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2263 if (xisint (btmp))
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2264 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	2265 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2266 result (i, j) = std::pow (a, btmp);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2267 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2268
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2269 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2270 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2271
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2272 // -- 8 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2273 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2274 elem_xpow (const FloatComplex& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2275 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2276 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2277 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2278
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2279 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2280
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2281 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	2282 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	2283 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2284 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2285 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	2286 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2287
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2288 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2289 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2290
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2291 // -- 9 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2292 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2293 elem_xpow (const FloatComplexMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2294 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2295 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2296 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2297
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2298 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2299
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2300 if (xisint (b))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2301 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2302 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	2303 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	2304 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2305 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2306 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	2307 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2308 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2309 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2310 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2311 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	2312 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	2313 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2314 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2315 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	2316 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2317 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2318
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2319 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2320 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2321
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2322 // -- 10 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2323 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2324 elem_xpow (const FloatComplexMatrix& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2325 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2326 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2327 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2328
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2329 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2330 octave_idx_type b_nc = b.cols ();
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 if (nr != b_nr \|\| nc != b_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2333 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2334 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	2335 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2336 }
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 FloatComplexMatrix result (nr, 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 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	2341 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	2342 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2343 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2344 float btmp = b (i, j);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2345 if (xisint (btmp))
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2346 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	2347 else
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2348 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	2349 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2350
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2351 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2352 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2353
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2354 // -- 11 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2355 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2356 elem_xpow (const FloatComplexMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2357 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2358 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2359 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2360
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2361 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2362
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2363 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	2364 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	2365 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2366 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2367 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	2368 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2369
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2370 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2371 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2372
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2373 // -- 12 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2374 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2375 elem_xpow (const FloatComplexMatrix& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2376 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2377 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2378 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2379
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2380 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2381 octave_idx_type b_nc = b.cols ();
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 if (nr != b_nr \|\| nc != b_nc)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2384 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2385 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	2386 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2387 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2388
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2389 FloatComplexMatrix result (nr, 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 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	2392 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	2393 {
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2394 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2395 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	2396 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2397
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2398 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2399 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2400
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2401 // 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	2402 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2403 // op2 \ op1: s nd cs cnd
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2404 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2405 // scalar \| \| * \| 3 \| * \| 9 \|
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 // N_d \| 1 \| 4 \| 7 \| 10 \|
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 // complex_scalar \| * \| 5 \| * \| 11 \|
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 // complex_N_d \| 2 \| 6 \| 8 \| 12 \|
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2412 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2413 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2414 // * -> not needed.
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2415
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2416 // 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	2417 // like
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 // 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	2420 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2421 // and
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2422 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2423 // 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	2424 //
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2425 // 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	2426 // 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	2427 // 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	2428 // library...
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2429
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2430 // -- 1 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2431 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2432 elem_xpow (float a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2433 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2434 octave_value retval;
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 float d1, d2;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2437
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2438 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	2439 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2440 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2441 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2442 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	2443 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2444 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2445 result(i) = std::pow (atmp, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2446 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2447
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2448 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2449 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2450 else
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 FloatNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2453 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	2454 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2455 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2456 result (i) = std::pow (a, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2457 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2458
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2459 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2460 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2461
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2462 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2463 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2464
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2465 // -- 2 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2466 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2467 elem_xpow (float a, const FloatComplexNDArray& b)
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 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2470
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2471 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	2472 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2473 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	2474 result(i) = std::pow (a, b(i));
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2475 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2476
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2477 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2478 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2479
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2480 // -- 3 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2481 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2482 elem_xpow (const FloatNDArray& a, float b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2485
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2486 if (! xisint (b))
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2487 {
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2488 if (a.any_element_is_negative ())
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2489 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2490 FloatComplexNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2491
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2492 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2493 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2494 octave_quit ();
8978 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 FloatComplex atmp (a (i));
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2497
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2498 result(i) = std::pow (atmp, b);
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
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2501 retval = result;
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2502 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2503 else
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 FloatNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2506 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2507 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2508 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2509 result(i) = std::pow (a(i), b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2510 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2511
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2512 retval = result;
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2513 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2514 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2515 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2516 {
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2517 NoAlias<FloatNDArray> result (a.dims ());
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2518
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2519 int ib = static_cast<int> (b);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2520 if (ib == 2)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2521 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2522 for (octave_idx_type i = 0; i < a.length (); i++)
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2523 result(i) = a(i) * a(i);
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2524 }
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2525 else if (ib == 3)
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2526 {
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2527 for (octave_idx_type i = 0; i < a.length (); i++)
ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2528 result(i) = a(i) * a(i) * a(i);
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2529 }
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2530 else if (ib == -1)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2531 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2532 for (octave_idx_type i = 0; i < a.length (); i++)
10129 ab80681c44d9 optimize third powers Jaroslav Hajek <highegg@gmail.com> parents: 9123 diff changeset	2533 result(i) = 1.0f / a(i);
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2534 }
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2535 else
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2536 {
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2537 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2538 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2539 octave_quit ();
8978 0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2540 result(i) = std::pow (a(i), ib);
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2541 }
0a58c4cd1405 optimize element-wise power Jaroslav Hajek <highegg@gmail.com> parents: 8960 diff changeset	2542 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2543
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2544 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2545 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2546
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2547 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2548 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2549
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2550 // -- 4 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2551 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2552 elem_xpow (const FloatNDArray& a, const FloatNDArray& b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2555
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2556 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2557 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2558
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2559 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2560 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2561 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2562 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2563 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2564
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2565 int len = a.length ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2566
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2567 bool convert_to_complex = false;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2568
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2569 for (octave_idx_type i = 0; i < len; i++)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2570 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2571 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2572 float atmp = a(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2573 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2574 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	2575 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2576 convert_to_complex = true;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2577 goto done;
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2578 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2579 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2580
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2581 done:
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2582
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2583 if (convert_to_complex)
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 FloatComplexNDArray complex_result (a_dims);
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 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	2588 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2589 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2590 FloatComplex atmp (a(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2591 complex_result(i) = std::pow (atmp, b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2592 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2593
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2594 retval = complex_result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2595 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2596 else
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 FloatNDArray result (a_dims);
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 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	2601 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2602 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2603 result(i) = std::pow (a(i), b(i));
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2604 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2605
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2606 retval = result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2607 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2608
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2609 return retval;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2610 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2611
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2612 // -- 5 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2613 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2614 elem_xpow (const FloatNDArray& a, const FloatComplex& b)
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 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2617
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2618 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	2619 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2620 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	2621 result(i) = std::pow (a(i), b);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2622 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2623
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2624 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2625 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2626
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2627 // -- 6 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2628 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2629 elem_xpow (const FloatNDArray& a, const FloatComplexNDArray& b)
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 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2632 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2633
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2634 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2635 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2636 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2637 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2638 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2639
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2640 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2641
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2642 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	2643 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2644 octave_quit ();
10144 1b883ce66707 avoid redundant real->complex conversions in xpow Jaroslav Hajek <highegg@gmail.com> parents: 10142 diff changeset	2645 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	2646 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2647
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2648 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2649 }
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 // -- 7 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2652 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2653 elem_xpow (const FloatComplex& a, const FloatNDArray& b)
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 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2656
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2657 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	2658 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2659 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2660 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2661 if (xisint (btmp))
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2662 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	2663 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2664 result(i) = std::pow (a, btmp);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2665 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2666
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2667 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2668 }
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 // -- 8 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2671 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2672 elem_xpow (const FloatComplex& a, const FloatComplexNDArray& b)
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 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2675
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2676 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	2677 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2678 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2679 result(i) = std::pow (a, b(i));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2680 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2681
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2682 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2683 }
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 // -- 9 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2686 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2687 elem_xpow (const FloatComplexNDArray& a, float b)
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 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2690
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2691 if (xisint (b))
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2692 {
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2693 if (b == -1)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2694 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2695 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	2696 result.xelem (i) = 1.0f / a(i);
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2697 }
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2698 else
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2699 {
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2700 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2701 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2702 octave_quit ();
8979 a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2703 result(i) = std::pow (a(i), static_cast<int> (b));
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2704 }
a7c00773a089 optimize also .^-1 case Jaroslav Hajek <highegg@gmail.com> parents: 8978 diff changeset	2705 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2706 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2707 else
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2708 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2709 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	2710 {
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2711 octave_quit ();
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2712 result(i) = std::pow (a(i), b);
57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2713 }
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2714 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2715
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2716 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2717 }
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 // -- 10 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2720 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2721 elem_xpow (const FloatComplexNDArray& a, const FloatNDArray& b)
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 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2724 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2725
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2726 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2727 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2728 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2729 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2730 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2731
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2732 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2733
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2734 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	2735 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2736 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2737 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2738 if (xisint (btmp))
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2739 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	2740 else
10315 57a59eae83cc untabify src C++ source files John W. Eaton <jwe@octave.org> parents: 10160 diff changeset	2741 result(i) = std::pow (a(i), btmp);
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2742 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2743
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2744 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2745 }
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 // -- 11 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2748 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2749 elem_xpow (const FloatComplexNDArray& a, const FloatComplex& b)
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 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2752
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2753 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	2754 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2755 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2756 result(i) = std::pow (a(i), b);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2757 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2758
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2759 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2760 }
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 // -- 12 --
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2763 octave_value
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2764 elem_xpow (const FloatComplexNDArray& a, const FloatComplexNDArray& b)
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 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2767 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2768
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2769 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2770 {
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2771 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2772 return octave_value ();
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2773 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2774
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2775 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2776
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2777 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	2778 {
10142 829e69ec3110 make OCTAVE_QUIT a function Jaroslav Hajek <highegg@gmail.com> parents: 10129 diff changeset	2779 octave_quit ();
7789 82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2780 result(i) = std::pow (a(i), b(i));
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2781 }
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2782
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2783 return result;
82be108cc558 First attempt at single precision tyeps David Bateman <dbateman@free.fr> parents: 7578 diff changeset	2784 }

Mercurial > hg > octave-nkf

annotate src/xpow.cc @ 10824:1e6664326d32