Mercurial > hg > octave-nkf
annotate src/xpow.cc @ 10129:ab80681c44d9
optimize third powers
author | Jaroslav Hajek <highegg@gmail.com> |
---|---|
date | Mon, 18 Jan 2010 14:14:08 +0100 |
parents | f39b98237d5c |
children | 829e69ec3110 |
rev | line source |
---|---|
1 | 1 /* |
2 | |
7017 | 3 Copyright (C) 1993, 1994, 1995, 1996, 1997, 1998, 2000, 2002, 2003, |
8920 | 4 2004, 2005, 2006, 2007, 2008 John W. Eaton |
1 | 5 |
6 This file is part of Octave. | |
7 | |
8 Octave is free software; you can redistribute it and/or modify it | |
9 under the terms of the GNU General Public License as published by the | |
7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
11 option) any later version. | |
1 | 12 |
13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
16 for more details. | |
17 | |
18 You should have received a copy of the GNU General Public License | |
7016 | 19 along with Octave; see the file COPYING. If not, see |
20 <http://www.gnu.org/licenses/>. | |
1 | 21 |
22 */ | |
23 | |
240 | 24 #ifdef HAVE_CONFIG_H |
1192 | 25 #include <config.h> |
1 | 26 #endif |
27 | |
1343 | 28 #include <cassert> |
1580 | 29 #include <climits> |
1343 | 30 |
4669 | 31 #include "Array-util.h" |
1352 | 32 #include "CColVector.h" |
453 | 33 #include "CDiagMatrix.h" |
8382
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
34 #include "fCDiagMatrix.h" |
1352 | 35 #include "CMatrix.h" |
453 | 36 #include "EIG.h" |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
37 #include "fEIG.h" |
1352 | 38 #include "dDiagMatrix.h" |
8382
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
39 #include "fDiagMatrix.h" |
1352 | 40 #include "dMatrix.h" |
8958
6ccc12cc65ef
implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents:
8920
diff
changeset
|
41 #include "PermMatrix.h" |
3585 | 42 #include "mx-cm-cdm.h" |
1651 | 43 #include "oct-cmplx.h" |
9103
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
44 #include "Range.h" |
4153 | 45 #include "quit.h" |
1352 | 46 |
47 #include "error.h" | |
4055 | 48 #include "oct-obj.h" |
1567 | 49 #include "utils.h" |
1352 | 50 #include "xpow.h" |
1 | 51 |
5275 | 52 #ifdef _OPENMP |
53 #include <omp.h> | |
54 #endif | |
55 | |
1567 | 56 static inline int |
57 xisint (double x) | |
58 { | |
59 return (D_NINT (x) == x | |
60 && ((x >= 0 && x < INT_MAX) | |
61 || (x <= 0 && x > INT_MIN))); | |
62 } | |
63 | |
767 | 64 // Safer pow functions. |
65 // | |
66 // op2 \ op1: s m cs cm | |
67 // +-- +---+---+----+----+ | |
68 // scalar | | 1 | 5 | 7 | 11 | | |
69 // +---+---+----+----+ | |
2365 | 70 // matrix | 2 | * | 8 | * | |
767 | 71 // +---+---+----+----+ |
72 // complex_scalar | 3 | 6 | 9 | 12 | | |
73 // +---+---+----+----+ | |
2365 | 74 // complex_matrix | 4 | * | 10 | * | |
767 | 75 // +---+---+----+----+ |
1 | 76 |
767 | 77 // -*- 1 -*- |
2086 | 78 octave_value |
1 | 79 xpow (double a, double b) |
80 { | |
7543
b84c5cbc0812
print.m: handle gif and jpg devices
John W. Eaton <jwe@octave.org>
parents:
7017
diff
changeset
|
81 double retval; |
b84c5cbc0812
print.m: handle gif and jpg devices
John W. Eaton <jwe@octave.org>
parents:
7017
diff
changeset
|
82 |
8978
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
83 if (a < 0.0 && ! xisint (b)) |
1 | 84 { |
5260 | 85 Complex atmp (a); |
4682 | 86 |
5260 | 87 return std::pow (atmp, b); |
1 | 88 } |
89 else | |
7543
b84c5cbc0812
print.m: handle gif and jpg devices
John W. Eaton <jwe@octave.org>
parents:
7017
diff
changeset
|
90 retval = std::pow (a, b); |
b84c5cbc0812
print.m: handle gif and jpg devices
John W. Eaton <jwe@octave.org>
parents:
7017
diff
changeset
|
91 |
b84c5cbc0812
print.m: handle gif and jpg devices
John W. Eaton <jwe@octave.org>
parents:
7017
diff
changeset
|
92 return retval; |
1 | 93 } |
94 | |
767 | 95 // -*- 2 -*- |
2086 | 96 octave_value |
164 | 97 xpow (double a, const Matrix& b) |
1 | 98 { |
2086 | 99 octave_value retval; |
1 | 100 |
5275 | 101 octave_idx_type nr = b.rows (); |
102 octave_idx_type nc = b.cols (); | |
1 | 103 |
104 if (nr == 0 || nc == 0 || nr != nc) | |
105 error ("for x^A, A must be square"); | |
106 else | |
107 { | |
108 EIG b_eig (b); | |
109 | |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
110 if (! error_state) |
1 | 111 { |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
112 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
113 ComplexMatrix Q (b_eig.eigenvectors ()); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
114 |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
115 for (octave_idx_type i = 0; i < nr; i++) |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
116 { |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
117 Complex elt = lambda(i); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
118 if (std::imag (elt) == 0.0) |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
119 lambda(i) = std::pow (a, std::real (elt)); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
120 else |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
121 lambda(i) = std::pow (a, elt); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
122 } |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
123 ComplexDiagMatrix D (lambda); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
124 |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
125 retval = ComplexMatrix (Q * D * Q.inverse ()); |
1 | 126 } |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
127 else |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
128 error ("xpow: matrix diagonalization failed"); |
1 | 129 } |
130 | |
131 return retval; | |
132 } | |
133 | |
767 | 134 // -*- 3 -*- |
2086 | 135 octave_value |
164 | 136 xpow (double a, const Complex& b) |
1 | 137 { |
138 Complex result; | |
139 Complex atmp (a); | |
5260 | 140 result = std::pow (atmp, b); |
1567 | 141 return result; |
1 | 142 } |
143 | |
767 | 144 // -*- 4 -*- |
2086 | 145 octave_value |
164 | 146 xpow (double a, const ComplexMatrix& b) |
1 | 147 { |
2086 | 148 octave_value retval; |
1 | 149 |
5275 | 150 octave_idx_type nr = b.rows (); |
151 octave_idx_type nc = b.cols (); | |
1 | 152 |
153 if (nr == 0 || nc == 0 || nr != nc) | |
2365 | 154 error ("for x^A, A must be square"); |
1 | 155 else |
156 { | |
157 EIG b_eig (b); | |
158 | |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
159 if (! error_state) |
1 | 160 { |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
161 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
162 ComplexMatrix Q (b_eig.eigenvectors ()); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
163 |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
164 for (octave_idx_type i = 0; i < nr; i++) |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
165 { |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
166 Complex elt = lambda(i); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
167 if (std::imag (elt) == 0.0) |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
168 lambda(i) = std::pow (a, std::real (elt)); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
169 else |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
170 lambda(i) = std::pow (a, elt); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
171 } |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
172 ComplexDiagMatrix D (lambda); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
173 |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
174 retval = ComplexMatrix (Q * D * Q.inverse ()); |
1 | 175 } |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
176 else |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
177 error ("xpow: matrix diagonalization failed"); |
1 | 178 } |
179 | |
180 return retval; | |
181 } | |
182 | |
767 | 183 // -*- 5 -*- |
2086 | 184 octave_value |
164 | 185 xpow (const Matrix& a, double b) |
1 | 186 { |
2086 | 187 octave_value retval; |
1 | 188 |
5275 | 189 octave_idx_type nr = a.rows (); |
190 octave_idx_type nc = a.cols (); | |
1 | 191 |
192 if (nr == 0 || nc == 0 || nr != nc) | |
2365 | 193 error ("for A^b, A must be square"); |
1567 | 194 else |
1 | 195 { |
2800 | 196 if (static_cast<int> (b) == b) |
1 | 197 { |
2804 | 198 int btmp = static_cast<int> (b); |
1567 | 199 if (btmp == 0) |
200 { | |
201 retval = DiagMatrix (nr, nr, 1.0); | |
202 } | |
203 else | |
204 { | |
205 // Too much copying? | |
5775 | 206 // FIXME -- we shouldn't do this if the exponent is |
1567 | 207 // large... |
208 | |
209 Matrix atmp; | |
210 if (btmp < 0) | |
211 { | |
212 btmp = -btmp; | |
1655 | 213 |
5275 | 214 octave_idx_type info; |
1655 | 215 double rcond = 0.0; |
6207 | 216 MatrixType mattype (a); |
1655 | 217 |
6207 | 218 atmp = a.inverse (mattype, info, rcond, 1); |
1655 | 219 |
220 if (info == -1) | |
221 warning ("inverse: matrix singular to machine\ | |
222 precision, rcond = %g", rcond); | |
1567 | 223 } |
224 else | |
225 atmp = a; | |
226 | |
227 Matrix result (atmp); | |
3178 | 228 |
229 btmp--; | |
230 | |
231 while (btmp > 0) | |
232 { | |
233 if (btmp & 1) | |
234 result = result * atmp; | |
235 | |
236 btmp >>= 1; | |
237 | |
238 if (btmp > 0) | |
239 atmp = atmp * atmp; | |
240 } | |
1567 | 241 |
242 retval = result; | |
243 } | |
1 | 244 } |
245 else | |
246 { | |
1567 | 247 EIG a_eig (a); |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
248 |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
249 if (! error_state) |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
250 { |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
251 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
252 ComplexMatrix Q (a_eig.eigenvectors ()); |
1567 | 253 |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
254 for (octave_idx_type i = 0; i < nr; i++) |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
255 lambda(i) = std::pow (lambda(i), b); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
256 |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
257 ComplexDiagMatrix D (lambda); |
1567 | 258 |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
259 retval = ComplexMatrix (Q * D * Q.inverse ()); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
260 } |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
261 else |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
262 error ("xpow: matrix diagonalization failed"); |
1567 | 263 } |
264 } | |
1358 | 265 |
1567 | 266 return retval; |
267 } | |
1 | 268 |
8382
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
269 // -*- 5d -*- |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
270 octave_value |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
271 xpow (const DiagMatrix& a, double b) |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
272 { |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
273 octave_value retval; |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
274 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
275 octave_idx_type nr = a.rows (); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
276 octave_idx_type nc = a.cols (); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
277 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
278 if (nr == 0 || nc == 0 || nr != nc) |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
279 error ("for A^b, A must be square"); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
280 else |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
281 { |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
282 if (static_cast<int> (b) == b) |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
283 { |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
284 DiagMatrix r (nr, nc); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
285 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
|
286 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
|
287 retval = r; |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
288 } |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
289 else |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
290 { |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
291 ComplexDiagMatrix r (nr, nc); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
292 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
|
293 r(i, i) = std::pow (static_cast<Complex> (a(i, i)), b); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
294 retval = r; |
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 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
298 return retval; |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
299 } |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
300 |
8958
6ccc12cc65ef
implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents:
8920
diff
changeset
|
301 // -*- 5p -*- |
6ccc12cc65ef
implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents:
8920
diff
changeset
|
302 octave_value |
6ccc12cc65ef
implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents:
8920
diff
changeset
|
303 xpow (const PermMatrix& a, double b) |
6ccc12cc65ef
implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents:
8920
diff
changeset
|
304 { |
6ccc12cc65ef
implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents:
8920
diff
changeset
|
305 octave_value retval; |
6ccc12cc65ef
implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents:
8920
diff
changeset
|
306 int btmp = static_cast<int> (b); |
6ccc12cc65ef
implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents:
8920
diff
changeset
|
307 if (btmp == b) |
6ccc12cc65ef
implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents:
8920
diff
changeset
|
308 return a.power (btmp); |
6ccc12cc65ef
implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents:
8920
diff
changeset
|
309 else |
6ccc12cc65ef
implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents:
8920
diff
changeset
|
310 return xpow (Matrix (a), b); |
6ccc12cc65ef
implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents:
8920
diff
changeset
|
311 } |
6ccc12cc65ef
implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents:
8920
diff
changeset
|
312 |
1567 | 313 // -*- 6 -*- |
2086 | 314 octave_value |
1567 | 315 xpow (const Matrix& a, const Complex& b) |
316 { | |
2086 | 317 octave_value retval; |
1 | 318 |
5275 | 319 octave_idx_type nr = a.rows (); |
320 octave_idx_type nc = a.cols (); | |
1567 | 321 |
322 if (nr == 0 || nc == 0 || nr != nc) | |
2365 | 323 error ("for A^b, A must be square"); |
1 | 324 else |
325 { | |
326 EIG a_eig (a); | |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
327 |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
328 if (! error_state) |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
329 { |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
330 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
331 ComplexMatrix Q (a_eig.eigenvectors ()); |
1 | 332 |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
333 for (octave_idx_type i = 0; i < nr; i++) |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
334 lambda(i) = std::pow (lambda(i), b); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
335 |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
336 ComplexDiagMatrix D (lambda); |
1 | 337 |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
338 retval = ComplexMatrix (Q * D * Q.inverse ()); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
339 } |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
340 else |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
341 error ("xpow: matrix diagonalization failed"); |
1 | 342 } |
343 | |
344 return retval; | |
345 } | |
346 | |
767 | 347 // -*- 7 -*- |
2086 | 348 octave_value |
164 | 349 xpow (const Complex& a, double b) |
1 | 350 { |
351 Complex result; | |
1567 | 352 |
353 if (xisint (b)) | |
5260 | 354 result = std::pow (a, static_cast<int> (b)); |
1567 | 355 else |
5260 | 356 result = std::pow (a, b); |
1567 | 357 |
358 return result; | |
1 | 359 } |
360 | |
767 | 361 // -*- 8 -*- |
2086 | 362 octave_value |
164 | 363 xpow (const Complex& a, const Matrix& b) |
1 | 364 { |
2086 | 365 octave_value retval; |
1 | 366 |
5275 | 367 octave_idx_type nr = b.rows (); |
368 octave_idx_type nc = b.cols (); | |
1 | 369 |
370 if (nr == 0 || nc == 0 || nr != nc) | |
2365 | 371 error ("for x^A, A must be square"); |
1 | 372 else |
373 { | |
374 EIG b_eig (b); | |
375 | |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
376 if (! error_state) |
1 | 377 { |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
378 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
379 ComplexMatrix Q (b_eig.eigenvectors ()); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
380 |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
381 for (octave_idx_type i = 0; i < nr; i++) |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
382 { |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
383 Complex elt = lambda(i); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
384 if (std::imag (elt) == 0.0) |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
385 lambda(i) = std::pow (a, std::real (elt)); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
386 else |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
387 lambda(i) = std::pow (a, elt); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
388 } |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
389 ComplexDiagMatrix D (lambda); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
390 |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
391 retval = ComplexMatrix (Q * D * Q.inverse ()); |
1 | 392 } |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
393 else |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
394 error ("xpow: matrix diagonalization failed"); |
1 | 395 } |
396 | |
397 return retval; | |
398 } | |
399 | |
767 | 400 // -*- 9 -*- |
2086 | 401 octave_value |
164 | 402 xpow (const Complex& a, const Complex& b) |
1 | 403 { |
404 Complex result; | |
5260 | 405 result = std::pow (a, b); |
1567 | 406 return result; |
1 | 407 } |
408 | |
767 | 409 // -*- 10 -*- |
2086 | 410 octave_value |
164 | 411 xpow (const Complex& a, const ComplexMatrix& b) |
1 | 412 { |
2086 | 413 octave_value retval; |
1 | 414 |
5275 | 415 octave_idx_type nr = b.rows (); |
416 octave_idx_type nc = b.cols (); | |
1 | 417 |
418 if (nr == 0 || nc == 0 || nr != nc) | |
2365 | 419 error ("for x^A, A must be square"); |
1 | 420 else |
421 { | |
422 EIG b_eig (b); | |
423 | |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
424 if (! error_state) |
1 | 425 { |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
426 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
427 ComplexMatrix Q (b_eig.eigenvectors ()); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
428 |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
429 for (octave_idx_type i = 0; i < nr; i++) |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
430 { |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
431 Complex elt = lambda(i); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
432 if (std::imag (elt) == 0.0) |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
433 lambda(i) = std::pow (a, std::real (elt)); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
434 else |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
435 lambda(i) = std::pow (a, elt); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
436 } |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
437 ComplexDiagMatrix D (lambda); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
438 |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
439 retval = ComplexMatrix (Q * D * Q.inverse ()); |
1 | 440 } |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
441 else |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
442 error ("xpow: matrix diagonalization failed"); |
1 | 443 } |
444 | |
445 return retval; | |
446 } | |
447 | |
767 | 448 // -*- 11 -*- |
2086 | 449 octave_value |
164 | 450 xpow (const ComplexMatrix& a, double b) |
1 | 451 { |
2086 | 452 octave_value retval; |
1 | 453 |
5275 | 454 octave_idx_type nr = a.rows (); |
455 octave_idx_type nc = a.cols (); | |
1 | 456 |
457 if (nr == 0 || nc == 0 || nr != nc) | |
2365 | 458 error ("for A^b, A must be square"); |
1567 | 459 else |
1 | 460 { |
2800 | 461 if (static_cast<int> (b) == b) |
1 | 462 { |
2804 | 463 int btmp = static_cast<int> (b); |
1567 | 464 if (btmp == 0) |
465 { | |
466 retval = DiagMatrix (nr, nr, 1.0); | |
467 } | |
468 else | |
469 { | |
470 // Too much copying? | |
5775 | 471 // FIXME -- we shouldn't do this if the exponent is |
1567 | 472 // large... |
473 | |
474 ComplexMatrix atmp; | |
475 if (btmp < 0) | |
476 { | |
477 btmp = -btmp; | |
1655 | 478 |
5275 | 479 octave_idx_type info; |
1655 | 480 double rcond = 0.0; |
6207 | 481 MatrixType mattype (a); |
1655 | 482 |
6207 | 483 atmp = a.inverse (mattype, info, rcond, 1); |
1655 | 484 |
485 if (info == -1) | |
486 warning ("inverse: matrix singular to machine\ | |
487 precision, rcond = %g", rcond); | |
1567 | 488 } |
489 else | |
490 atmp = a; | |
491 | |
492 ComplexMatrix result (atmp); | |
3178 | 493 |
494 btmp--; | |
495 | |
496 while (btmp > 0) | |
497 { | |
498 if (btmp & 1) | |
499 result = result * atmp; | |
500 | |
501 btmp >>= 1; | |
502 | |
503 if (btmp > 0) | |
504 atmp = atmp * atmp; | |
505 } | |
1567 | 506 |
507 retval = result; | |
508 } | |
1 | 509 } |
510 else | |
511 { | |
1567 | 512 EIG a_eig (a); |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
513 |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
514 if (! error_state) |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
515 { |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
516 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
517 ComplexMatrix Q (a_eig.eigenvectors ()); |
1567 | 518 |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
519 for (octave_idx_type i = 0; i < nr; i++) |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
520 lambda(i) = std::pow (lambda(i), b); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
521 |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
522 ComplexDiagMatrix D (lambda); |
1567 | 523 |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
524 retval = ComplexMatrix (Q * D * Q.inverse ()); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
525 } |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
526 else |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
527 error ("xpow: matrix diagonalization failed"); |
1567 | 528 } |
529 } | |
1358 | 530 |
1567 | 531 return retval; |
532 } | |
1 | 533 |
1567 | 534 // -*- 12 -*- |
2086 | 535 octave_value |
1567 | 536 xpow (const ComplexMatrix& a, const Complex& b) |
537 { | |
2086 | 538 octave_value retval; |
1 | 539 |
5275 | 540 octave_idx_type nr = a.rows (); |
541 octave_idx_type nc = a.cols (); | |
1567 | 542 |
543 if (nr == 0 || nc == 0 || nr != nc) | |
2365 | 544 error ("for A^b, A must be square"); |
1 | 545 else |
546 { | |
547 EIG a_eig (a); | |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
548 |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
549 if (! error_state) |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
550 { |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
551 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
552 ComplexMatrix Q (a_eig.eigenvectors ()); |
1 | 553 |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
554 for (octave_idx_type i = 0; i < nr; i++) |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
555 lambda(i) = std::pow (lambda(i), b); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
556 |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
557 ComplexDiagMatrix D (lambda); |
1 | 558 |
7578
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
559 retval = ComplexMatrix (Q * D * Q.inverse ()); |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
560 } |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
561 else |
91f8446ce4ae
handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents:
7543
diff
changeset
|
562 error ("xpow: matrix diagonalization failed"); |
1 | 563 } |
564 | |
565 return retval; | |
566 } | |
567 | |
8382
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
568 // -*- 12d -*- |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
569 octave_value |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
570 xpow (const ComplexDiagMatrix& a, const Complex& b) |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
571 { |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
572 octave_value retval; |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
573 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
574 octave_idx_type nr = a.rows (); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
575 octave_idx_type nc = a.cols (); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
576 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
577 if (nr == 0 || nc == 0 || nr != nc) |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
578 error ("for A^b, A must be square"); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
579 else |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
580 { |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
581 ComplexDiagMatrix r (nr, nc); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
582 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
|
583 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
|
584 retval = r; |
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 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
587 return retval; |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
588 } |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
589 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
590 // mixed |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
591 octave_value |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
592 xpow (const ComplexDiagMatrix& a, double b) |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
593 { |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
594 return xpow (a, static_cast<Complex> (b)); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
595 } |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
596 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
597 octave_value |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
598 xpow (const DiagMatrix& a, const Complex& b) |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
599 { |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
600 return xpow (ComplexDiagMatrix (a), b); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
601 } |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
602 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
603 |
767 | 604 // Safer pow functions that work elementwise for matrices. |
605 // | |
606 // op2 \ op1: s m cs cm | |
607 // +-- +---+---+----+----+ | |
608 // scalar | | * | 3 | * | 9 | | |
609 // +---+---+----+----+ | |
610 // matrix | 1 | 4 | 7 | 10 | | |
611 // +---+---+----+----+ | |
612 // complex_scalar | * | 5 | * | 11 | | |
613 // +---+---+----+----+ | |
614 // complex_matrix | 2 | 6 | 8 | 12 | | |
615 // +---+---+----+----+ | |
616 // | |
617 // * -> not needed. | |
1 | 618 |
5775 | 619 // FIXME -- these functions need to be fixed so that things |
3162 | 620 // like |
621 // | |
622 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b | |
623 // | |
624 // and | |
625 // | |
626 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end | |
627 // | |
628 // produce identical results. Also, it would be nice if -1^0.5 | |
629 // produced a pure imaginary result instead of a complex number with a | |
630 // small real part. But perhaps that's really a problem with the math | |
631 // library... | |
632 | |
767 | 633 // -*- 1 -*- |
2086 | 634 octave_value |
164 | 635 elem_xpow (double a, const Matrix& b) |
1 | 636 { |
2086 | 637 octave_value retval; |
1 | 638 |
5275 | 639 octave_idx_type nr = b.rows (); |
640 octave_idx_type nc = b.cols (); | |
1 | 641 |
3162 | 642 double d1, d2; |
1358 | 643 |
3162 | 644 if (a < 0.0 && ! b.all_integers (d1, d2)) |
1 | 645 { |
646 Complex atmp (a); | |
647 ComplexMatrix result (nr, nc); | |
5275 | 648 |
649 for (octave_idx_type j = 0; j < nc; j++) | |
650 for (octave_idx_type i = 0; i < nr; i++) | |
4153 | 651 { |
652 OCTAVE_QUIT; | |
5260 | 653 result (i, j) = std::pow (atmp, b (i, j)); |
4153 | 654 } |
1 | 655 |
1567 | 656 retval = result; |
1 | 657 } |
658 else | |
659 { | |
660 Matrix result (nr, nc); | |
5275 | 661 |
662 for (octave_idx_type j = 0; j < nc; j++) | |
663 for (octave_idx_type i = 0; i < nr; i++) | |
4153 | 664 { |
665 OCTAVE_QUIT; | |
5260 | 666 result (i, j) = std::pow (a, b (i, j)); |
4153 | 667 } |
1 | 668 |
1567 | 669 retval = result; |
1 | 670 } |
671 | |
672 return retval; | |
673 } | |
674 | |
767 | 675 // -*- 2 -*- |
2086 | 676 octave_value |
164 | 677 elem_xpow (double a, const ComplexMatrix& b) |
1 | 678 { |
5275 | 679 octave_idx_type nr = b.rows (); |
680 octave_idx_type nc = b.cols (); | |
1 | 681 |
682 ComplexMatrix result (nr, nc); | |
3125 | 683 Complex atmp (a); |
5275 | 684 |
685 for (octave_idx_type j = 0; j < nc; j++) | |
686 for (octave_idx_type i = 0; i < nr; i++) | |
4153 | 687 { |
688 OCTAVE_QUIT; | |
5260 | 689 result (i, j) = std::pow (atmp, b (i, j)); |
4153 | 690 } |
1 | 691 |
1567 | 692 return result; |
1 | 693 } |
694 | |
9123
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
695 static inline bool |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
696 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
|
697 { |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
698 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
|
699 } |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
700 |
9103
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
701 octave_value |
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
702 elem_xpow (double a, const Range& r) |
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
703 { |
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
704 octave_value retval; |
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
705 |
9123
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
706 // 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
|
707 // magnitude. |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
708 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
|
709 && same_sign (r.base (), r.limit ())) |
9103
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
710 { |
9123
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
711 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
|
712 Matrix result (1, n); |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
713 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
|
714 { |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
715 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
|
716 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
|
717 result(0) = base; |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
718 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
|
719 result(i) = (base *= inc); |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
720 } |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
721 else |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
722 { |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
723 // 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
|
724 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
|
725 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
|
726 result(n-1) = limit; |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
727 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
|
728 result(i) = (limit *= inc); |
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 |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
731 retval = result; |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
732 } |
9103
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
733 else |
9123
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
734 retval = elem_xpow (a, r.matrix_value ()); |
9103
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
735 |
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
736 return retval; |
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
737 } |
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
738 |
767 | 739 // -*- 3 -*- |
2086 | 740 octave_value |
164 | 741 elem_xpow (const Matrix& a, double b) |
1 | 742 { |
2086 | 743 octave_value retval; |
1 | 744 |
5275 | 745 octave_idx_type nr = a.rows (); |
746 octave_idx_type nc = a.cols (); | |
1 | 747 |
8978
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
748 if (! xisint (b) && a.any_element_is_negative ()) |
1 | 749 { |
750 ComplexMatrix result (nr, nc); | |
5275 | 751 |
752 for (octave_idx_type j = 0; j < nc; j++) | |
753 for (octave_idx_type i = 0; i < nr; i++) | |
1 | 754 { |
5665 | 755 OCTAVE_QUIT; |
756 | |
757 Complex atmp (a (i, j)); | |
758 | |
759 result (i, j) = std::pow (atmp, b); | |
1 | 760 } |
761 | |
1567 | 762 retval = result; |
1 | 763 } |
764 else | |
765 { | |
766 Matrix result (nr, nc); | |
5275 | 767 |
768 for (octave_idx_type j = 0; j < nc; j++) | |
769 for (octave_idx_type i = 0; i < nr; i++) | |
4153 | 770 { |
771 OCTAVE_QUIT; | |
5260 | 772 result (i, j) = std::pow (a (i, j), b); |
4153 | 773 } |
1 | 774 |
1567 | 775 retval = result; |
1 | 776 } |
777 | |
778 return retval; | |
779 } | |
780 | |
767 | 781 // -*- 4 -*- |
2086 | 782 octave_value |
164 | 783 elem_xpow (const Matrix& a, const Matrix& b) |
1 | 784 { |
2086 | 785 octave_value retval; |
1567 | 786 |
5275 | 787 octave_idx_type nr = a.rows (); |
788 octave_idx_type nc = a.cols (); | |
2365 | 789 |
5275 | 790 octave_idx_type b_nr = b.rows (); |
791 octave_idx_type b_nc = b.cols (); | |
1 | 792 |
2365 | 793 if (nr != b_nr || nc != b_nc) |
794 { | |
795 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); | |
796 return octave_value (); | |
797 } | |
1 | 798 |
799 int convert_to_complex = 0; | |
5275 | 800 for (octave_idx_type j = 0; j < nc; j++) |
801 for (octave_idx_type i = 0; i < nr; i++) | |
1 | 802 { |
4153 | 803 OCTAVE_QUIT; |
2305 | 804 double atmp = a (i, j); |
805 double btmp = b (i, j); | |
2800 | 806 if (atmp < 0.0 && static_cast<int> (btmp) != btmp) |
1 | 807 { |
808 convert_to_complex = 1; | |
809 goto done; | |
810 } | |
811 } | |
812 | |
2365 | 813 done: |
1 | 814 |
815 if (convert_to_complex) | |
816 { | |
817 ComplexMatrix complex_result (nr, nc); | |
818 | |
5275 | 819 for (octave_idx_type j = 0; j < nc; j++) |
820 for (octave_idx_type i = 0; i < nr; i++) | |
1 | 821 { |
4153 | 822 OCTAVE_QUIT; |
5665 | 823 Complex atmp (a (i, j)); |
824 Complex btmp (b (i, j)); | |
825 complex_result (i, j) = std::pow (atmp, btmp); | |
1 | 826 } |
1567 | 827 |
828 retval = complex_result; | |
1 | 829 } |
830 else | |
831 { | |
832 Matrix result (nr, nc); | |
833 | |
5275 | 834 for (octave_idx_type j = 0; j < nc; j++) |
835 for (octave_idx_type i = 0; i < nr; i++) | |
4153 | 836 { |
837 OCTAVE_QUIT; | |
5260 | 838 result (i, j) = std::pow (a (i, j), b (i, j)); |
4153 | 839 } |
1 | 840 |
1567 | 841 retval = result; |
1 | 842 } |
1567 | 843 |
844 return retval; | |
1 | 845 } |
846 | |
767 | 847 // -*- 5 -*- |
2086 | 848 octave_value |
164 | 849 elem_xpow (const Matrix& a, const Complex& b) |
1 | 850 { |
5275 | 851 octave_idx_type nr = a.rows (); |
852 octave_idx_type nc = a.cols (); | |
1 | 853 |
854 ComplexMatrix result (nr, nc); | |
5275 | 855 |
856 for (octave_idx_type j = 0; j < nc; j++) | |
857 for (octave_idx_type i = 0; i < nr; i++) | |
4153 | 858 { |
859 OCTAVE_QUIT; | |
5260 | 860 result (i, j) = std::pow (Complex (a (i, j)), b); |
4153 | 861 } |
1 | 862 |
1567 | 863 return result; |
1 | 864 } |
865 | |
767 | 866 // -*- 6 -*- |
2086 | 867 octave_value |
164 | 868 elem_xpow (const Matrix& a, const ComplexMatrix& b) |
1 | 869 { |
5275 | 870 octave_idx_type nr = a.rows (); |
871 octave_idx_type nc = a.cols (); | |
2365 | 872 |
5275 | 873 octave_idx_type b_nr = b.rows (); |
874 octave_idx_type b_nc = b.cols (); | |
1 | 875 |
2365 | 876 if (nr != b_nr || nc != b_nc) |
877 { | |
878 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); | |
879 return octave_value (); | |
880 } | |
1 | 881 |
882 ComplexMatrix result (nr, nc); | |
5275 | 883 |
884 for (octave_idx_type j = 0; j < nc; j++) | |
885 for (octave_idx_type i = 0; i < nr; i++) | |
4153 | 886 { |
887 OCTAVE_QUIT; | |
5260 | 888 result (i, j) = std::pow (Complex (a (i, j)), b (i, j)); |
4153 | 889 } |
1 | 890 |
1567 | 891 return result; |
1 | 892 } |
893 | |
767 | 894 // -*- 7 -*- |
2086 | 895 octave_value |
164 | 896 elem_xpow (const Complex& a, const Matrix& b) |
1 | 897 { |
5275 | 898 octave_idx_type nr = b.rows (); |
899 octave_idx_type nc = b.cols (); | |
1 | 900 |
901 ComplexMatrix result (nr, nc); | |
5275 | 902 |
903 for (octave_idx_type j = 0; j < nc; j++) | |
904 for (octave_idx_type i = 0; i < nr; i++) | |
1567 | 905 { |
4153 | 906 OCTAVE_QUIT; |
2305 | 907 double btmp = b (i, j); |
1567 | 908 if (xisint (btmp)) |
5260 | 909 result (i, j) = std::pow (a, static_cast<int> (btmp)); |
1567 | 910 else |
5260 | 911 result (i, j) = std::pow (a, btmp); |
1567 | 912 } |
1 | 913 |
1567 | 914 return result; |
1 | 915 } |
916 | |
767 | 917 // -*- 8 -*- |
2086 | 918 octave_value |
164 | 919 elem_xpow (const Complex& a, const ComplexMatrix& b) |
1 | 920 { |
5275 | 921 octave_idx_type nr = b.rows (); |
922 octave_idx_type nc = b.cols (); | |
1 | 923 |
924 ComplexMatrix result (nr, nc); | |
5275 | 925 |
926 for (octave_idx_type j = 0; j < nc; j++) | |
927 for (octave_idx_type i = 0; i < nr; i++) | |
4153 | 928 { |
929 OCTAVE_QUIT; | |
5260 | 930 result (i, j) = std::pow (a, b (i, j)); |
4153 | 931 } |
1 | 932 |
1567 | 933 return result; |
1 | 934 } |
935 | |
9103
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
936 octave_value |
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
937 elem_xpow (const Complex& a, const Range& r) |
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
938 { |
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
939 octave_value retval; |
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
940 |
9123
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
941 // 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
|
942 // magnitude. |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
943 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
|
944 && same_sign (r.base (), r.limit ())) |
9103
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
945 { |
9123
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
946 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
|
947 ComplexMatrix result (1, n); |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
948 |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
949 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
|
950 { |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
951 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
|
952 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
|
953 result(0) = base; |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
954 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
|
955 result(i) = (base *= inc); |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
956 } |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
957 else |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
958 { |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
959 // 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
|
960 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
|
961 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
|
962 result(n-1) = limit; |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
963 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
|
964 result(i) = (limit *= inc); |
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 |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
967 retval = result; |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
968 } |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
969 else |
f39b98237d5c
use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents:
9103
diff
changeset
|
970 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
|
971 |
9103
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
972 |
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
973 return retval; |
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
974 } |
10bed8fbec99
optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents:
8979
diff
changeset
|
975 |
767 | 976 // -*- 9 -*- |
2086 | 977 octave_value |
164 | 978 elem_xpow (const ComplexMatrix& a, double b) |
1 | 979 { |
5275 | 980 octave_idx_type nr = a.rows (); |
981 octave_idx_type nc = a.cols (); | |
1 | 982 |
983 ComplexMatrix result (nr, nc); | |
984 | |
1567 | 985 if (xisint (b)) |
986 { | |
5275 | 987 for (octave_idx_type j = 0; j < nc; j++) |
988 for (octave_idx_type i = 0; i < nr; i++) | |
4153 | 989 { |
990 OCTAVE_QUIT; | |
5260 | 991 result (i, j) = std::pow (a (i, j), static_cast<int> (b)); |
4153 | 992 } |
1567 | 993 } |
994 else | |
995 { | |
5275 | 996 for (octave_idx_type j = 0; j < nc; j++) |
997 for (octave_idx_type i = 0; i < nr; i++) | |
4153 | 998 { |
999 OCTAVE_QUIT; | |
5260 | 1000 result (i, j) = std::pow (a (i, j), b); |
4153 | 1001 } |
1567 | 1002 } |
1003 | |
1004 return result; | |
1 | 1005 } |
1006 | |
767 | 1007 // -*- 10 -*- |
2086 | 1008 octave_value |
164 | 1009 elem_xpow (const ComplexMatrix& a, const Matrix& b) |
1 | 1010 { |
5275 | 1011 octave_idx_type nr = a.rows (); |
1012 octave_idx_type nc = a.cols (); | |
2365 | 1013 |
5275 | 1014 octave_idx_type b_nr = b.rows (); |
1015 octave_idx_type b_nc = b.cols (); | |
1 | 1016 |
2365 | 1017 if (nr != b_nr || nc != b_nc) |
1018 { | |
1019 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); | |
1020 return octave_value (); | |
1021 } | |
1 | 1022 |
1023 ComplexMatrix result (nr, nc); | |
5275 | 1024 |
1025 for (octave_idx_type j = 0; j < nc; j++) | |
1026 for (octave_idx_type i = 0; i < nr; i++) | |
1567 | 1027 { |
4153 | 1028 OCTAVE_QUIT; |
2305 | 1029 double btmp = b (i, j); |
1567 | 1030 if (xisint (btmp)) |
5260 | 1031 result (i, j) = std::pow (a (i, j), static_cast<int> (btmp)); |
1567 | 1032 else |
5260 | 1033 result (i, j) = std::pow (a (i, j), btmp); |
1567 | 1034 } |
1 | 1035 |
1567 | 1036 return result; |
1 | 1037 } |
1038 | |
767 | 1039 // -*- 11 -*- |
2086 | 1040 octave_value |
164 | 1041 elem_xpow (const ComplexMatrix& a, const Complex& b) |
1 | 1042 { |
5275 | 1043 octave_idx_type nr = a.rows (); |
1044 octave_idx_type nc = a.cols (); | |
1 | 1045 |
1046 ComplexMatrix result (nr, nc); | |
5275 | 1047 |
1048 for (octave_idx_type j = 0; j < nc; j++) | |
1049 for (octave_idx_type i = 0; i < nr; i++) | |
4153 | 1050 { |
1051 OCTAVE_QUIT; | |
5260 | 1052 result (i, j) = std::pow (a (i, j), b); |
4153 | 1053 } |
1 | 1054 |
1567 | 1055 return result; |
1 | 1056 } |
1057 | |
767 | 1058 // -*- 12 -*- |
2086 | 1059 octave_value |
164 | 1060 elem_xpow (const ComplexMatrix& a, const ComplexMatrix& b) |
1 | 1061 { |
5275 | 1062 octave_idx_type nr = a.rows (); |
1063 octave_idx_type nc = a.cols (); | |
2365 | 1064 |
5275 | 1065 octave_idx_type b_nr = b.rows (); |
1066 octave_idx_type b_nc = b.cols (); | |
2365 | 1067 |
1068 if (nr != b_nr || nc != b_nc) | |
1069 { | |
1070 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); | |
1071 return octave_value (); | |
1072 } | |
1 | 1073 |
1074 ComplexMatrix result (nr, nc); | |
5275 | 1075 |
1076 for (octave_idx_type j = 0; j < nc; j++) | |
1077 for (octave_idx_type i = 0; i < nr; i++) | |
4153 | 1078 { |
1079 OCTAVE_QUIT; | |
5260 | 1080 result (i, j) = std::pow (a (i, j), b (i, j)); |
4153 | 1081 } |
1 | 1082 |
1567 | 1083 return result; |
1 | 1084 } |
1085 | |
4543 | 1086 // Safer pow functions that work elementwise for N-d arrays. |
1087 // | |
1088 // op2 \ op1: s nd cs cnd | |
1089 // +-- +---+---+----+----+ | |
1090 // scalar | | * | 3 | * | 9 | | |
1091 // +---+---+----+----+ | |
1092 // N_d | 1 | 4 | 7 | 10 | | |
1093 // +---+---+----+----+ | |
1094 // complex_scalar | * | 5 | * | 11 | | |
1095 // +---+---+----+----+ | |
1096 // complex_N_d | 2 | 6 | 8 | 12 | | |
1097 // +---+---+----+----+ | |
1098 // | |
1099 // * -> not needed. | |
1100 | |
5775 | 1101 // FIXME -- these functions need to be fixed so that things |
4543 | 1102 // like |
1103 // | |
1104 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b | |
1105 // | |
1106 // and | |
1107 // | |
1108 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end | |
1109 // | |
1110 // produce identical results. Also, it would be nice if -1^0.5 | |
1111 // produced a pure imaginary result instead of a complex number with a | |
1112 // small real part. But perhaps that's really a problem with the math | |
1113 // library... | |
1114 | |
1115 // -*- 1 -*- | |
1116 octave_value | |
1117 elem_xpow (double a, const NDArray& b) | |
1118 { | |
1119 octave_value retval; | |
1120 | |
1121 double d1, d2; | |
1122 | |
1123 if (a < 0.0 && ! b.all_integers (d1, d2)) | |
1124 { | |
1125 Complex atmp (a); | |
1126 ComplexNDArray result (b.dims ()); | |
5275 | 1127 for (octave_idx_type i = 0; i < b.length (); i++) |
4543 | 1128 { |
1129 OCTAVE_QUIT; | |
5260 | 1130 result(i) = std::pow (atmp, b(i)); |
4543 | 1131 } |
1132 | |
1133 retval = result; | |
1134 } | |
1135 else | |
1136 { | |
1137 NDArray result (b.dims ()); | |
5275 | 1138 for (octave_idx_type i = 0; i < b.length (); i++) |
4543 | 1139 { |
1140 OCTAVE_QUIT; | |
5260 | 1141 result (i) = std::pow (a, b(i)); |
4543 | 1142 } |
1143 | |
1144 retval = result; | |
1145 } | |
1146 | |
1147 return retval; | |
1148 } | |
1149 | |
1150 // -*- 2 -*- | |
1151 octave_value | |
1152 elem_xpow (double a, const ComplexNDArray& b) | |
1153 { | |
1154 ComplexNDArray result (b.dims ()); | |
1155 Complex atmp (a); | |
5275 | 1156 |
1157 for (octave_idx_type i = 0; i < b.length (); i++) | |
4543 | 1158 { |
1159 OCTAVE_QUIT; | |
5260 | 1160 result(i) = std::pow (atmp, b(i)); |
4543 | 1161 } |
1162 | |
1163 return result; | |
1164 } | |
1165 | |
1166 // -*- 3 -*- | |
1167 octave_value | |
1168 elem_xpow (const NDArray& a, double b) | |
1169 { | |
1170 octave_value retval; | |
1171 | |
8978
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1172 if (! xisint (b)) |
4543 | 1173 { |
8978
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1174 if (a.any_element_is_negative ()) |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1175 { |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1176 ComplexNDArray result (a.dims ()); |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1177 |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1178 for (octave_idx_type i = 0; i < a.length (); i++) |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1179 { |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1180 OCTAVE_QUIT; |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1181 |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1182 Complex atmp (a (i)); |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1183 |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1184 result(i) = std::pow (atmp, b); |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1185 } |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1186 |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1187 retval = result; |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1188 } |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1189 else |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1190 { |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1191 NDArray result (a.dims ()); |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1192 for (octave_idx_type i = 0; i < a.length (); i++) |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1193 { |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1194 OCTAVE_QUIT; |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1195 result(i) = std::pow (a(i), b); |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1196 } |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1197 |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1198 retval = result; |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1199 } |
4543 | 1200 } |
1201 else | |
1202 { | |
10129 | 1203 NoAlias<NDArray> result (a.dims ()); |
4543 | 1204 |
8978
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1205 int ib = static_cast<int> (b); |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1206 if (ib == 2) |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1207 { |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1208 for (octave_idx_type i = 0; i < a.length (); i++) |
10129 | 1209 result(i) = a(i) * a(i); |
1210 } | |
1211 else if (ib == 3) | |
1212 { | |
1213 for (octave_idx_type i = 0; i < a.length (); i++) | |
1214 result(i) = a(i) * a(i) * a(i); | |
8978
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1215 } |
8979
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
1216 else if (ib == -1) |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
1217 { |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
1218 for (octave_idx_type i = 0; i < a.length (); i++) |
10129 | 1219 result(i) = 1.0 / a(i); |
8979
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
1220 } |
8978
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1221 else |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1222 { |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1223 for (octave_idx_type i = 0; i < a.length (); i++) |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1224 { |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1225 OCTAVE_QUIT; |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1226 result(i) = std::pow (a(i), ib); |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1227 } |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1228 } |
4543 | 1229 |
1230 retval = result; | |
1231 } | |
1232 | |
1233 return retval; | |
1234 } | |
1235 | |
1236 // -*- 4 -*- | |
1237 octave_value | |
1238 elem_xpow (const NDArray& a, const NDArray& b) | |
1239 { | |
1240 octave_value retval; | |
1241 | |
1242 dim_vector a_dims = a.dims (); | |
1243 dim_vector b_dims = b.dims (); | |
1244 | |
1245 if (a_dims != b_dims) | |
1246 { | |
1247 gripe_nonconformant ("operator .^", a_dims, b_dims); | |
1248 return octave_value (); | |
1249 } | |
1250 | |
1251 int len = a.length (); | |
1252 | |
1253 bool convert_to_complex = false; | |
1254 | |
5275 | 1255 for (octave_idx_type i = 0; i < len; i++) |
4543 | 1256 { |
1257 OCTAVE_QUIT; | |
1258 double atmp = a(i); | |
1259 double btmp = b(i); | |
1260 if (atmp < 0.0 && static_cast<int> (btmp) != btmp) | |
1261 { | |
1262 convert_to_complex = true; | |
1263 goto done; | |
1264 } | |
1265 } | |
1266 | |
1267 done: | |
1268 | |
1269 if (convert_to_complex) | |
1270 { | |
1271 ComplexNDArray complex_result (a_dims); | |
1272 | |
5275 | 1273 for (octave_idx_type i = 0; i < len; i++) |
4543 | 1274 { |
1275 OCTAVE_QUIT; | |
5665 | 1276 Complex atmp (a(i)); |
1277 Complex btmp (b(i)); | |
1278 complex_result(i) = std::pow (atmp, btmp); | |
4543 | 1279 } |
1280 | |
1281 retval = complex_result; | |
1282 } | |
1283 else | |
1284 { | |
1285 NDArray result (a_dims); | |
1286 | |
5275 | 1287 for (octave_idx_type i = 0; i < len; i++) |
4543 | 1288 { |
1289 OCTAVE_QUIT; | |
5260 | 1290 result(i) = std::pow (a(i), b(i)); |
4543 | 1291 } |
1292 | |
1293 retval = result; | |
1294 } | |
1295 | |
1296 return retval; | |
1297 } | |
1298 | |
1299 // -*- 5 -*- | |
1300 octave_value | |
1301 elem_xpow (const NDArray& a, const Complex& b) | |
1302 { | |
1303 ComplexNDArray result (a.dims ()); | |
1304 | |
5275 | 1305 for (octave_idx_type i = 0; i < a.length (); i++) |
4543 | 1306 { |
1307 OCTAVE_QUIT; | |
5260 | 1308 result(i) = std::pow (Complex (a(i)), b); |
4543 | 1309 } |
1310 | |
1311 return result; | |
1312 } | |
1313 | |
1314 // -*- 6 -*- | |
1315 octave_value | |
1316 elem_xpow (const NDArray& a, const ComplexNDArray& b) | |
1317 { | |
1318 dim_vector a_dims = a.dims (); | |
1319 dim_vector b_dims = b.dims (); | |
1320 | |
1321 if (a_dims != b_dims) | |
1322 { | |
1323 gripe_nonconformant ("operator .^", a_dims, b_dims); | |
1324 return octave_value (); | |
1325 } | |
1326 | |
1327 ComplexNDArray result (a_dims); | |
5275 | 1328 |
1329 for (octave_idx_type i = 0; i < a.length (); i++) | |
4543 | 1330 { |
1331 OCTAVE_QUIT; | |
5260 | 1332 result(i) = std::pow (Complex (a(i)), b(i)); |
4543 | 1333 } |
1334 | |
1335 return result; | |
1336 } | |
1337 | |
1338 // -*- 7 -*- | |
1339 octave_value | |
1340 elem_xpow (const Complex& a, const NDArray& b) | |
1341 { | |
1342 ComplexNDArray result (b.dims ()); | |
5275 | 1343 |
1344 for (octave_idx_type i = 0; i < b.length (); i++) | |
4543 | 1345 { |
1346 OCTAVE_QUIT; | |
1347 double btmp = b(i); | |
1348 if (xisint (btmp)) | |
5260 | 1349 result(i) = std::pow (a, static_cast<int> (btmp)); |
4543 | 1350 else |
5260 | 1351 result(i) = std::pow (a, btmp); |
4543 | 1352 } |
1353 | |
1354 return result; | |
1355 } | |
1356 | |
1357 // -*- 8 -*- | |
1358 octave_value | |
1359 elem_xpow (const Complex& a, const ComplexNDArray& b) | |
1360 { | |
1361 ComplexNDArray result (b.dims ()); | |
5275 | 1362 |
1363 for (octave_idx_type i = 0; i < b.length (); i++) | |
4543 | 1364 { |
1365 OCTAVE_QUIT; | |
5260 | 1366 result(i) = std::pow (a, b(i)); |
4543 | 1367 } |
1368 | |
1369 return result; | |
1370 } | |
1371 | |
1372 // -*- 9 -*- | |
1373 octave_value | |
1374 elem_xpow (const ComplexNDArray& a, double b) | |
1375 { | |
1376 ComplexNDArray result (a.dims ()); | |
1377 | |
1378 if (xisint (b)) | |
1379 { | |
8979
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
1380 if (b == -1) |
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 for (octave_idx_type i = 0; i < a.length (); i++) |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
1383 result.xelem (i) = std::conj (a(i)) / std::norm (a(i)); |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
1384 } |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
1385 else |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
1386 { |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
1387 for (octave_idx_type i = 0; i < a.length (); i++) |
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 OCTAVE_QUIT; |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
1390 result(i) = std::pow (a(i), static_cast<int> (b)); |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
1391 } |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
1392 } |
4543 | 1393 } |
1394 else | |
1395 { | |
5275 | 1396 for (octave_idx_type i = 0; i < a.length (); i++) |
4543 | 1397 { |
1398 OCTAVE_QUIT; | |
5260 | 1399 result(i) = std::pow (a(i), b); |
4543 | 1400 } |
1401 } | |
1402 | |
1403 return result; | |
1404 } | |
1405 | |
1406 // -*- 10 -*- | |
1407 octave_value | |
1408 elem_xpow (const ComplexNDArray& a, const NDArray& b) | |
1409 { | |
1410 dim_vector a_dims = a.dims (); | |
1411 dim_vector b_dims = b.dims (); | |
1412 | |
1413 if (a_dims != b_dims) | |
1414 { | |
1415 gripe_nonconformant ("operator .^", a_dims, b_dims); | |
1416 return octave_value (); | |
1417 } | |
1418 | |
1419 ComplexNDArray result (a_dims); | |
5275 | 1420 |
1421 for (octave_idx_type i = 0; i < a.length (); i++) | |
4543 | 1422 { |
1423 OCTAVE_QUIT; | |
1424 double btmp = b(i); | |
1425 if (xisint (btmp)) | |
5260 | 1426 result(i) = std::pow (a(i), static_cast<int> (btmp)); |
4543 | 1427 else |
5260 | 1428 result(i) = std::pow (a(i), btmp); |
4543 | 1429 } |
1430 | |
1431 return result; | |
1432 } | |
1433 | |
1434 // -*- 11 -*- | |
1435 octave_value | |
1436 elem_xpow (const ComplexNDArray& a, const Complex& b) | |
1437 { | |
1438 ComplexNDArray result (a.dims ()); | |
5275 | 1439 |
1440 for (octave_idx_type i = 0; i < a.length (); i++) | |
4543 | 1441 { |
1442 OCTAVE_QUIT; | |
5260 | 1443 result(i) = std::pow (a(i), b); |
4543 | 1444 } |
1445 | |
1446 return result; | |
1447 } | |
1448 | |
1449 // -*- 12 -*- | |
1450 octave_value | |
1451 elem_xpow (const ComplexNDArray& a, const ComplexNDArray& b) | |
1452 { | |
1453 dim_vector a_dims = a.dims (); | |
1454 dim_vector b_dims = b.dims (); | |
1455 | |
1456 if (a_dims != b_dims) | |
1457 { | |
1458 gripe_nonconformant ("operator .^", a_dims, b_dims); | |
1459 return octave_value (); | |
1460 } | |
1461 | |
1462 ComplexNDArray result (a_dims); | |
5275 | 1463 |
1464 for (octave_idx_type i = 0; i < a.length (); i++) | |
4543 | 1465 { |
1466 OCTAVE_QUIT; | |
5260 | 1467 result(i) = std::pow (a(i), b(i)); |
4543 | 1468 } |
1469 | |
1470 return result; | |
1471 } | |
1472 | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1473 static inline int |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1474 xisint (float x) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1475 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1476 return (D_NINT (x) == x |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1477 && ((x >= 0 && x < INT_MAX) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1478 || (x <= 0 && x > INT_MIN))); |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1481 // Safer pow functions. |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1482 // |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1483 // op2 \ op1: s m cs cm |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1484 // +-- +---+---+----+----+ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1485 // scalar | | 1 | 5 | 7 | 11 | |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1486 // +---+---+----+----+ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1487 // matrix | 2 | * | 8 | * | |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1488 // +---+---+----+----+ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1489 // complex_scalar | 3 | 6 | 9 | 12 | |
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 // complex_matrix | 4 | * | 10 | * | |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1492 // +---+---+----+----+ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1493 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1494 // -*- 1 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1495 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1496 xpow (float a, float b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1497 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1498 float retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1499 |
8978
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
1500 if (a < 0.0 && ! xisint (b)) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1501 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1502 FloatComplex atmp (a); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1503 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1504 return std::pow (atmp, 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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1507 retval = std::pow (a, b); |
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 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1510 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1511 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1512 // -*- 2 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1513 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1514 xpow (float a, const FloatMatrix& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1515 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1516 octave_value retval; |
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 octave_idx_type nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1519 octave_idx_type nc = b.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1520 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1521 if (nr == 0 || nc == 0 || nr != nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1522 error ("for x^A, A must be square"); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1523 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1524 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1525 FloatEIG b_eig (b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1526 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1527 if (! error_state) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1528 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1529 FloatComplexColumnVector lambda (b_eig.eigenvalues ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1530 FloatComplexMatrix Q (b_eig.eigenvectors ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1531 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1532 for (octave_idx_type i = 0; i < nr; i++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1533 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1534 FloatComplex elt = lambda(i); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1535 if (std::imag (elt) == 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1536 lambda(i) = std::pow (a, std::real (elt)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1537 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1538 lambda(i) = std::pow (a, elt); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1539 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1540 FloatComplexDiagMatrix D (lambda); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1541 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1542 retval = FloatComplexMatrix (Q * D * Q.inverse ()); |
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1545 error ("xpow: matrix diagonalization failed"); |
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 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1549 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1550 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1551 // -*- 3 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1552 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1553 xpow (float a, const FloatComplex& b) |
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 FloatComplex result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1556 FloatComplex atmp (a); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1557 result = std::pow (atmp, b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1558 return result; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1561 // -*- 4 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1562 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1563 xpow (float a, const FloatComplexMatrix& b) |
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 octave_value retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1566 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1567 octave_idx_type nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1568 octave_idx_type nc = b.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1569 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1570 if (nr == 0 || nc == 0 || nr != nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1571 error ("for x^A, A must be square"); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1572 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1573 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1574 FloatEIG b_eig (b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1575 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1576 if (! error_state) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1577 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1578 FloatComplexColumnVector lambda (b_eig.eigenvalues ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1579 FloatComplexMatrix Q (b_eig.eigenvectors ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1580 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1581 for (octave_idx_type i = 0; i < nr; i++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1582 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1583 FloatComplex elt = lambda(i); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1584 if (std::imag (elt) == 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1585 lambda(i) = std::pow (a, std::real (elt)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1586 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1587 lambda(i) = std::pow (a, elt); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1588 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1589 FloatComplexDiagMatrix D (lambda); |
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 retval = FloatComplexMatrix (Q * D * Q.inverse ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1592 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1593 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1594 error ("xpow: matrix diagonalization failed"); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1595 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1596 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1597 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1600 // -*- 5 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1601 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1602 xpow (const FloatMatrix& a, float b) |
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 octave_value retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1605 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1606 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1607 octave_idx_type nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1608 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1609 if (nr == 0 || nc == 0 || nr != nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1610 error ("for A^b, A must be square"); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1611 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1612 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1613 if (static_cast<int> (b) == b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1614 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1615 int btmp = static_cast<int> (b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1616 if (btmp == 0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1617 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1618 retval = FloatDiagMatrix (nr, nr, 1.0); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1619 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1620 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1621 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1622 // Too much copying? |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1623 // FIXME -- we shouldn't do this if the exponent is |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1624 // large... |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1625 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1626 FloatMatrix atmp; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1627 if (btmp < 0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1628 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1629 btmp = -btmp; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1630 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1631 octave_idx_type info; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1632 float rcond = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1633 MatrixType mattype (a); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1634 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1635 atmp = a.inverse (mattype, info, rcond, 1); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1636 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1637 if (info == -1) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1638 warning ("inverse: matrix singular to machine\ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1639 precision, rcond = %g", rcond); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1640 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1641 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1642 atmp = a; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1643 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1644 FloatMatrix result (atmp); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1645 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1646 btmp--; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1647 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1648 while (btmp > 0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1649 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1650 if (btmp & 1) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1651 result = result * atmp; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1652 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1653 btmp >>= 1; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1654 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1655 if (btmp > 0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1656 atmp = atmp * atmp; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1657 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1658 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1659 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1660 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1661 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1662 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1663 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1664 FloatEIG a_eig (a); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1665 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1666 if (! error_state) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1667 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1668 FloatComplexColumnVector lambda (a_eig.eigenvalues ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1669 FloatComplexMatrix Q (a_eig.eigenvectors ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1670 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1671 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
|
1672 lambda(i) = std::pow (lambda(i), b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1673 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1674 FloatComplexDiagMatrix D (lambda); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1675 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1676 retval = FloatComplexMatrix (Q * D * Q.inverse ()); |
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1679 error ("xpow: matrix diagonalization failed"); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1680 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1681 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1682 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1683 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1684 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1685 |
8382
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1686 // -*- 5d -*- |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1687 octave_value |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1688 xpow (const FloatDiagMatrix& a, float b) |
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 octave_value retval; |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1691 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1692 octave_idx_type nr = a.rows (); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1693 octave_idx_type nc = a.cols (); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1694 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1695 if (nr == 0 || nc == 0 || nr != nc) |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1696 error ("for A^b, A must be square"); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1697 else |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1698 { |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1699 if (static_cast<int> (b) == b) |
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 FloatDiagMatrix r (nr, nc); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1702 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
|
1703 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
|
1704 retval = r; |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1705 } |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1706 else |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1707 { |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1708 FloatComplexDiagMatrix r (nr, nc); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1709 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
|
1710 r(i, i) = std::pow (static_cast<FloatComplex> (a(i, i)), b); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1711 retval = r; |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1712 } |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1713 } |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1714 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1715 return retval; |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1716 } |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1717 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1718 // -*- 6 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1719 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1720 xpow (const FloatMatrix& a, const FloatComplex& b) |
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 octave_value retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1723 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1724 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1725 octave_idx_type nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1726 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1727 if (nr == 0 || nc == 0 || nr != nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1728 error ("for A^b, A must be square"); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1729 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1730 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1731 FloatEIG a_eig (a); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1732 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1733 if (! error_state) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1734 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1735 FloatComplexColumnVector lambda (a_eig.eigenvalues ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1736 FloatComplexMatrix Q (a_eig.eigenvectors ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1737 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1738 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
|
1739 lambda(i) = std::pow (lambda(i), b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1740 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1741 FloatComplexDiagMatrix D (lambda); |
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 retval = FloatComplexMatrix (Q * D * Q.inverse ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1744 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1745 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1746 error ("xpow: matrix diagonalization failed"); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1747 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1748 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1749 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1752 // -*- 7 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1753 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1754 xpow (const FloatComplex& a, float b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1755 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1756 FloatComplex result; |
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 if (xisint (b)) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1759 result = std::pow (a, static_cast<int> (b)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1760 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1761 result = std::pow (a, b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1762 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1763 return result; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1766 // -*- 8 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1767 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1768 xpow (const FloatComplex& a, const FloatMatrix& b) |
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 octave_value retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1771 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1772 octave_idx_type nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1773 octave_idx_type nc = b.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1774 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1775 if (nr == 0 || nc == 0 || nr != nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1776 error ("for x^A, A must be square"); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1777 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1778 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1779 FloatEIG b_eig (b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1780 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1781 if (! error_state) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1782 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1783 FloatComplexColumnVector lambda (b_eig.eigenvalues ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1784 FloatComplexMatrix Q (b_eig.eigenvectors ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1785 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1786 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
|
1787 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1788 FloatComplex elt = lambda(i); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1789 if (std::imag (elt) == 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1790 lambda(i) = std::pow (a, std::real (elt)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1791 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1792 lambda(i) = std::pow (a, elt); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1793 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1794 FloatComplexDiagMatrix D (lambda); |
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 retval = FloatComplexMatrix (Q * D * Q.inverse ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1797 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1798 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1799 error ("xpow: matrix diagonalization failed"); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1800 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1801 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1802 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1805 // -*- 9 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1806 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1807 xpow (const FloatComplex& a, const FloatComplex& b) |
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 FloatComplex result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1810 result = std::pow (a, b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1811 return result; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1814 // -*- 10 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1815 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1816 xpow (const FloatComplex& a, const FloatComplexMatrix& b) |
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 octave_value retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1819 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1820 octave_idx_type nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1821 octave_idx_type nc = b.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1822 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1823 if (nr == 0 || nc == 0 || nr != nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1824 error ("for x^A, A must be square"); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1825 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1826 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1827 FloatEIG b_eig (b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1828 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1829 if (! error_state) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1830 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1831 FloatComplexColumnVector lambda (b_eig.eigenvalues ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1832 FloatComplexMatrix Q (b_eig.eigenvectors ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1833 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1834 for (octave_idx_type i = 0; i < nr; i++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1835 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1836 FloatComplex elt = lambda(i); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1837 if (std::imag (elt) == 0.0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1838 lambda(i) = std::pow (a, std::real (elt)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1839 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1840 lambda(i) = std::pow (a, elt); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1841 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1842 FloatComplexDiagMatrix D (lambda); |
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 retval = FloatComplexMatrix (Q * D * Q.inverse ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1845 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1846 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1847 error ("xpow: matrix diagonalization failed"); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1848 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1849 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1850 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1853 // -*- 11 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1854 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1855 xpow (const FloatComplexMatrix& a, float b) |
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 octave_value retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1858 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1859 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1860 octave_idx_type nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1861 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1862 if (nr == 0 || nc == 0 || nr != nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1863 error ("for A^b, A must be square"); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1864 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1865 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1866 if (static_cast<int> (b) == b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1867 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1868 int btmp = static_cast<int> (b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1869 if (btmp == 0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1870 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1871 retval = FloatDiagMatrix (nr, nr, 1.0); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1872 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1873 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1874 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1875 // Too much copying? |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1876 // FIXME -- we shouldn't do this if the exponent is |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1877 // large... |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1878 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1879 FloatComplexMatrix atmp; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1880 if (btmp < 0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1881 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1882 btmp = -btmp; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1883 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1884 octave_idx_type info; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1885 float rcond = 0.0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1886 MatrixType mattype (a); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1887 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1888 atmp = a.inverse (mattype, info, rcond, 1); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1889 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1890 if (info == -1) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1891 warning ("inverse: matrix singular to machine\ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1892 precision, rcond = %g", rcond); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1893 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1894 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1895 atmp = a; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1896 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1897 FloatComplexMatrix result (atmp); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1898 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1899 btmp--; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1900 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1901 while (btmp > 0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1902 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1903 if (btmp & 1) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1904 result = result * atmp; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1905 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1906 btmp >>= 1; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1907 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1908 if (btmp > 0) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1909 atmp = atmp * atmp; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1910 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1911 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1912 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1913 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1914 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1915 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1916 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1917 FloatEIG a_eig (a); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1918 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1919 if (! error_state) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1920 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1921 FloatComplexColumnVector lambda (a_eig.eigenvalues ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1922 FloatComplexMatrix Q (a_eig.eigenvectors ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1923 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1924 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
|
1925 lambda(i) = std::pow (lambda(i), b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1926 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1927 FloatComplexDiagMatrix D (lambda); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1928 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1929 retval = FloatComplexMatrix (Q * D * Q.inverse ()); |
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 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1932 error ("xpow: matrix diagonalization failed"); |
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 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1935 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1936 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1939 // -*- 12 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1940 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1941 xpow (const FloatComplexMatrix& a, const FloatComplex& b) |
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 octave_value retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1944 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1945 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1946 octave_idx_type nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1947 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1948 if (nr == 0 || nc == 0 || nr != nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1949 error ("for A^b, A must be square"); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1950 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1951 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1952 FloatEIG a_eig (a); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1953 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1954 if (! error_state) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1955 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1956 FloatComplexColumnVector lambda (a_eig.eigenvalues ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1957 FloatComplexMatrix Q (a_eig.eigenvectors ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1958 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1959 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
|
1960 lambda(i) = std::pow (lambda(i), b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1961 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1962 FloatComplexDiagMatrix D (lambda); |
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 retval = FloatComplexMatrix (Q * D * Q.inverse ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1965 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1966 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1967 error ("xpow: matrix diagonalization failed"); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1968 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1969 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1970 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1971 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
1972 |
8382
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1973 // -*- 12d -*- |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1974 octave_value |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1975 xpow (const FloatComplexDiagMatrix& a, const FloatComplex& b) |
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 octave_value retval; |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1978 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1979 octave_idx_type nr = a.rows (); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1980 octave_idx_type nc = a.cols (); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1981 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1982 if (nr == 0 || nc == 0 || nr != nc) |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1983 error ("for A^b, A must be square"); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1984 else |
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 FloatComplexDiagMatrix r (nr, nc); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1987 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
|
1988 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
|
1989 retval = r; |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1990 } |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1991 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1992 return retval; |
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 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1995 // mixed |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1996 octave_value |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1997 xpow (const FloatComplexDiagMatrix& a, float b) |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1998 { |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
1999 return xpow (a, static_cast<FloatComplex> (b)); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
2000 } |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
2001 |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
2002 octave_value |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
2003 xpow (const FloatDiagMatrix& a, const FloatComplex& b) |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
2004 { |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
2005 return xpow (FloatComplexDiagMatrix (a), b); |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
2006 } |
9b20a4847056
implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents:
7789
diff
changeset
|
2007 |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2008 // Safer pow functions that work elementwise for matrices. |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2009 // |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2010 // op2 \ op1: s m cs cm |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2011 // +-- +---+---+----+----+ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2012 // scalar | | * | 3 | * | 9 | |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2013 // +---+---+----+----+ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2014 // matrix | 1 | 4 | 7 | 10 | |
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 // complex_scalar | * | 5 | * | 11 | |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2017 // +---+---+----+----+ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2018 // complex_matrix | 2 | 6 | 8 | 12 | |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2019 // +---+---+----+----+ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2020 // |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2021 // * -> not needed. |
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 // 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
|
2024 // like |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2025 // |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2026 // 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
|
2027 // |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2028 // and |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2029 // |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2030 // 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
|
2031 // |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2032 // 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
|
2033 // 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
|
2034 // 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
|
2035 // library... |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2036 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2037 // -*- 1 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2038 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2039 elem_xpow (float a, const FloatMatrix& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2040 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2041 octave_value retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2042 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2043 octave_idx_type nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2044 octave_idx_type nc = b.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2045 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2046 float d1, d2; |
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 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
|
2049 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2050 FloatComplex atmp (a); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2051 FloatComplexMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2052 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2053 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
|
2054 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
|
2055 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2056 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2057 result (i, j) = std::pow (atmp, b (i, j)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2058 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2059 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2060 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2061 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2062 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2063 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2064 FloatMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2065 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2066 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
|
2067 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
|
2068 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2069 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2070 result (i, j) = std::pow (a, b (i, j)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2071 } |
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 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2074 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2075 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2076 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2079 // -*- 2 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2080 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2081 elem_xpow (float a, const FloatComplexMatrix& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2082 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2083 octave_idx_type nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2084 octave_idx_type nc = b.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2085 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2086 FloatComplexMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2087 FloatComplex atmp (a); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2088 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2089 for (octave_idx_type j = 0; j < nc; j++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2090 for (octave_idx_type i = 0; i < nr; i++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2091 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2092 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2093 result (i, j) = std::pow (atmp, b (i, j)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2094 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2095 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2096 return result; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2099 // -*- 3 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2100 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2101 elem_xpow (const FloatMatrix& a, float b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2102 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2103 octave_value retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2104 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2105 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2106 octave_idx_type nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2107 |
8978
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2108 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
|
2109 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2110 FloatComplexMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2111 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2112 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
|
2113 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
|
2114 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2115 OCTAVE_QUIT; |
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 FloatComplex atmp (a (i, j)); |
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 result (i, j) = std::pow (atmp, b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2120 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2121 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2122 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2123 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2124 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2125 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2126 FloatMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2127 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2128 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
|
2129 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
|
2130 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2131 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2132 result (i, j) = std::pow (a (i, j), b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2133 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2134 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2135 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2136 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2137 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2138 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2141 // -*- 4 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2142 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2143 elem_xpow (const FloatMatrix& a, const FloatMatrix& b) |
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_value retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2146 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2147 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2148 octave_idx_type nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2149 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2150 octave_idx_type b_nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2151 octave_idx_type b_nc = b.cols (); |
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 if (nr != b_nr || nc != b_nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2154 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2155 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
|
2156 return octave_value (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2157 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2158 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2159 int convert_to_complex = 0; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2160 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
|
2161 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
|
2162 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2163 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2164 float atmp = a (i, j); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2165 float btmp = b (i, j); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2166 if (atmp < 0.0 && static_cast<int> (btmp) != btmp) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2167 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2168 convert_to_complex = 1; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2169 goto done; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2170 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2171 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2172 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2173 done: |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2174 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2175 if (convert_to_complex) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2176 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2177 FloatComplexMatrix complex_result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2178 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2179 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
|
2180 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
|
2181 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2182 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2183 FloatComplex atmp (a (i, j)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2184 FloatComplex btmp (b (i, j)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2185 complex_result (i, j) = std::pow (atmp, btmp); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2186 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2187 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2188 retval = complex_result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2189 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2190 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2191 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2192 FloatMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2193 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2194 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
|
2195 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
|
2196 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2197 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2198 result (i, j) = std::pow (a (i, j), b (i, j)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2199 } |
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 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2202 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2203 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2204 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2207 // -*- 5 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2208 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2209 elem_xpow (const FloatMatrix& a, const FloatComplex& b) |
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 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2212 octave_idx_type nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2213 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2214 FloatComplexMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2215 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2216 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
|
2217 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
|
2218 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2219 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2220 result (i, j) = std::pow (FloatComplex (a (i, j)), b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2221 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2222 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2223 return result; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2226 // -*- 6 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2227 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2228 elem_xpow (const FloatMatrix& a, const FloatComplexMatrix& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2229 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2230 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2231 octave_idx_type nc = a.cols (); |
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 octave_idx_type b_nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2234 octave_idx_type b_nc = b.cols (); |
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 if (nr != b_nr || nc != b_nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2237 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2238 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
|
2239 return octave_value (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2240 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2241 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2242 FloatComplexMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2243 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2244 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
|
2245 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
|
2246 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2247 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2248 result (i, j) = std::pow (FloatComplex (a (i, j)), b (i, j)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2249 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2250 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2251 return result; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2254 // -*- 7 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2255 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2256 elem_xpow (const FloatComplex& a, const FloatMatrix& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2257 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2258 octave_idx_type nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2259 octave_idx_type nc = b.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2260 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2261 FloatComplexMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2262 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2263 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
|
2264 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
|
2265 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2266 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2267 float btmp = b (i, j); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2268 if (xisint (btmp)) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2269 result (i, j) = std::pow (a, static_cast<int> (btmp)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2270 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2271 result (i, j) = std::pow (a, btmp); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2272 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2273 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2274 return result; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2277 // -*- 8 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2278 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2279 elem_xpow (const FloatComplex& a, const FloatComplexMatrix& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2280 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2281 octave_idx_type nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2282 octave_idx_type nc = b.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2283 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2284 FloatComplexMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2285 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2286 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
|
2287 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
|
2288 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2289 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2290 result (i, j) = std::pow (a, b (i, j)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2291 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2292 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2293 return result; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2296 // -*- 9 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2297 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2298 elem_xpow (const FloatComplexMatrix& a, float b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2299 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2300 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2301 octave_idx_type nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2302 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2303 FloatComplexMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2304 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2305 if (xisint (b)) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2306 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2307 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
|
2308 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
|
2309 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2310 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2311 result (i, j) = std::pow (a (i, j), static_cast<int> (b)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2312 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2313 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2314 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2315 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2316 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
|
2317 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
|
2318 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2319 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2320 result (i, j) = std::pow (a (i, j), b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2321 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2322 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2323 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2324 return result; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2327 // -*- 10 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2328 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2329 elem_xpow (const FloatComplexMatrix& a, const FloatMatrix& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2330 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2331 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2332 octave_idx_type nc = a.cols (); |
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 octave_idx_type b_nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2335 octave_idx_type b_nc = b.cols (); |
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 if (nr != b_nr || nc != b_nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2338 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2339 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
|
2340 return octave_value (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2341 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2342 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2343 FloatComplexMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2344 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2345 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
|
2346 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
|
2347 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2348 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2349 float btmp = b (i, j); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2350 if (xisint (btmp)) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2351 result (i, j) = std::pow (a (i, j), static_cast<int> (btmp)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2352 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2353 result (i, j) = std::pow (a (i, j), btmp); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2354 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2355 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2356 return result; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2359 // -*- 11 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2360 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2361 elem_xpow (const FloatComplexMatrix& a, const FloatComplex& b) |
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 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2364 octave_idx_type nc = a.cols (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2365 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2366 FloatComplexMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2367 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2368 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
|
2369 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
|
2370 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2371 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2372 result (i, j) = std::pow (a (i, j), b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2373 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2374 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2375 return result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2376 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2377 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2378 // -*- 12 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2379 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2380 elem_xpow (const FloatComplexMatrix& a, const FloatComplexMatrix& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2381 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2382 octave_idx_type nr = a.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2383 octave_idx_type nc = a.cols (); |
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 octave_idx_type b_nr = b.rows (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2386 octave_idx_type b_nc = b.cols (); |
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 if (nr != b_nr || nc != b_nc) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2389 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2390 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
|
2391 return octave_value (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2392 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2393 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2394 FloatComplexMatrix result (nr, nc); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2395 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2396 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
|
2397 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
|
2398 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2399 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2400 result (i, j) = std::pow (a (i, j), b (i, j)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2401 } |
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 return result; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2406 // 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
|
2407 // |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2408 // op2 \ op1: s nd cs cnd |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2409 // +-- +---+---+----+----+ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2410 // scalar | | * | 3 | * | 9 | |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2411 // +---+---+----+----+ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2412 // N_d | 1 | 4 | 7 | 10 | |
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 // complex_scalar | * | 5 | * | 11 | |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2415 // +---+---+----+----+ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2416 // complex_N_d | 2 | 6 | 8 | 12 | |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2417 // +---+---+----+----+ |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2418 // |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2419 // * -> not needed. |
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 // 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
|
2422 // like |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2423 // |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2424 // 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
|
2425 // |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2426 // and |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2427 // |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2428 // 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
|
2429 // |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2430 // 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
|
2431 // 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
|
2432 // 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
|
2433 // library... |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2434 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2435 // -*- 1 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2436 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2437 elem_xpow (float a, const FloatNDArray& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2438 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2439 octave_value retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2440 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2441 float d1, d2; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2442 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2443 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
|
2444 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2445 FloatComplex atmp (a); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2446 FloatComplexNDArray result (b.dims ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2447 for (octave_idx_type i = 0; i < b.length (); i++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2448 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2449 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2450 result(i) = std::pow (atmp, b(i)); |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2453 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2454 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2455 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2456 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2457 FloatNDArray result (b.dims ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2458 for (octave_idx_type i = 0; i < b.length (); i++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2459 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2460 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2461 result (i) = std::pow (a, b(i)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2462 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2463 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2464 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2465 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2466 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2467 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2468 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2469 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2470 // -*- 2 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2471 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2472 elem_xpow (float a, const FloatComplexNDArray& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2473 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2474 FloatComplexNDArray result (b.dims ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2475 FloatComplex atmp (a); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2476 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2477 for (octave_idx_type i = 0; i < b.length (); i++) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2478 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2479 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2480 result(i) = std::pow (atmp, b(i)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2481 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2482 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2483 return result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2484 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2485 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2486 // -*- 3 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2487 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2488 elem_xpow (const FloatNDArray& a, float b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2489 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2490 octave_value retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2491 |
8978
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2492 if (! xisint (b)) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2493 { |
8978
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2494 if (a.any_element_is_negative ()) |
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 FloatComplexNDArray result (a.dims ()); |
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 for (octave_idx_type i = 0; i < a.length (); i++) |
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 OCTAVE_QUIT; |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2501 |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2502 FloatComplex atmp (a (i)); |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2503 |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2504 result(i) = std::pow (atmp, b); |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2505 } |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2506 |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2507 retval = result; |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2508 } |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2509 else |
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 FloatNDArray result (a.dims ()); |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2512 for (octave_idx_type i = 0; i < a.length (); i++) |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2513 { |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2514 OCTAVE_QUIT; |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2515 result(i) = std::pow (a(i), b); |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2516 } |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2517 |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2518 retval = result; |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2519 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2520 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2521 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2522 { |
10129 | 2523 NoAlias<FloatNDArray> result (a.dims ()); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2524 |
8978
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2525 int ib = static_cast<int> (b); |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2526 if (ib == 2) |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2527 { |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2528 for (octave_idx_type i = 0; i < a.length (); i++) |
10129 | 2529 result(i) = a(i) * a(i); |
2530 } | |
2531 else if (ib == 3) | |
2532 { | |
2533 for (octave_idx_type i = 0; i < a.length (); i++) | |
2534 result(i) = a(i) * a(i) * a(i); | |
8978
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2535 } |
8979
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2536 else if (ib == -1) |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2537 { |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2538 for (octave_idx_type i = 0; i < a.length (); i++) |
10129 | 2539 result(i) = 1.0f / a(i); |
8979
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2540 } |
8978
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2541 else |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2542 { |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2543 for (octave_idx_type i = 0; i < a.length (); i++) |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2544 { |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2545 OCTAVE_QUIT; |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2546 result(i) = std::pow (a(i), ib); |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2547 } |
0a58c4cd1405
optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents:
8960
diff
changeset
|
2548 } |
7789
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 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2551 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2552 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2553 return retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2554 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2555 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2556 // -*- 4 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2557 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2558 elem_xpow (const FloatNDArray& a, const FloatNDArray& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2559 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2560 octave_value retval; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2561 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2562 dim_vector a_dims = a.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2563 dim_vector b_dims = b.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2564 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2565 if (a_dims != b_dims) |
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 gripe_nonconformant ("operator .^", a_dims, b_dims); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2568 return octave_value (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2569 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2570 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2571 int len = a.length (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2572 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2573 bool convert_to_complex = false; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2574 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2575 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
|
2576 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2577 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2578 float atmp = a(i); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2579 float btmp = b(i); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2580 if (atmp < 0.0 && static_cast<int> (btmp) != btmp) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2581 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2582 convert_to_complex = true; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2583 goto done; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2584 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2585 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2586 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2587 done: |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2588 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2589 if (convert_to_complex) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2590 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2591 FloatComplexNDArray complex_result (a_dims); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2592 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2593 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
|
2594 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2595 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2596 FloatComplex atmp (a(i)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2597 FloatComplex btmp (b(i)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2598 complex_result(i) = std::pow (atmp, btmp); |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2601 retval = complex_result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2602 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2603 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2604 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2605 FloatNDArray result (a_dims); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2606 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2607 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
|
2608 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2609 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2610 result(i) = std::pow (a(i), b(i)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2611 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2612 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2613 retval = result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2614 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2615 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2616 return retval; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2619 // -*- 5 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2620 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2621 elem_xpow (const FloatNDArray& a, const FloatComplex& b) |
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 FloatComplexNDArray result (a.dims ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2624 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2625 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
|
2626 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2627 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2628 result(i) = std::pow (FloatComplex (a(i)), b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2629 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2630 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2631 return result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2632 } |
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 // -*- 6 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2635 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2636 elem_xpow (const FloatNDArray& a, const FloatComplexNDArray& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2637 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2638 dim_vector a_dims = a.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2639 dim_vector b_dims = b.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2640 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2641 if (a_dims != b_dims) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2642 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2643 gripe_nonconformant ("operator .^", a_dims, b_dims); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2644 return octave_value (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2645 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2646 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2647 FloatComplexNDArray result (a_dims); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2648 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2649 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
|
2650 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2651 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2652 result(i) = std::pow (FloatComplex (a(i)), b(i)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2653 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2654 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2655 return result; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2658 // -*- 7 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2659 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2660 elem_xpow (const FloatComplex& a, const FloatNDArray& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2661 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2662 FloatComplexNDArray result (b.dims ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2663 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2664 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
|
2665 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2666 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2667 float btmp = b(i); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2668 if (xisint (btmp)) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2669 result(i) = std::pow (a, static_cast<int> (btmp)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2670 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2671 result(i) = std::pow (a, btmp); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2672 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2673 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2674 return result; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2677 // -*- 8 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2678 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2679 elem_xpow (const FloatComplex& a, const FloatComplexNDArray& b) |
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 FloatComplexNDArray result (b.dims ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2682 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2683 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
|
2684 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2685 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2686 result(i) = std::pow (a, b(i)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2687 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2688 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2689 return result; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2692 // -*- 9 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2693 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2694 elem_xpow (const FloatComplexNDArray& a, float b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2695 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2696 FloatComplexNDArray result (a.dims ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2697 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2698 if (xisint (b)) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2699 { |
8979
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2700 if (b == -1) |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2701 { |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2702 for (octave_idx_type i = 0; i < a.length (); i++) |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2703 result.xelem (i) = std::conj (a(i)) / std::norm (a(i)); |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2704 } |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2705 else |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2706 { |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2707 for (octave_idx_type i = 0; i < a.length (); i++) |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2708 { |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2709 OCTAVE_QUIT; |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2710 result(i) = std::pow (a(i), static_cast<int> (b)); |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2711 } |
a7c00773a089
optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents:
8978
diff
changeset
|
2712 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2713 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2714 else |
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 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
|
2717 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2718 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2719 result(i) = std::pow (a(i), b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2720 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2721 } |
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 return result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2724 } |
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 // -*- 10 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2727 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2728 elem_xpow (const FloatComplexNDArray& a, const FloatNDArray& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2729 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2730 dim_vector a_dims = a.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2731 dim_vector b_dims = b.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2732 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2733 if (a_dims != b_dims) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2734 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2735 gripe_nonconformant ("operator .^", a_dims, b_dims); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2736 return octave_value (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2737 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2738 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2739 FloatComplexNDArray result (a_dims); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2740 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2741 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
|
2742 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2743 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2744 float btmp = b(i); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2745 if (xisint (btmp)) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2746 result(i) = std::pow (a(i), static_cast<int> (btmp)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2747 else |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2748 result(i) = std::pow (a(i), btmp); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2749 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2750 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2751 return result; |
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 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2754 // -*- 11 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2755 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2756 elem_xpow (const FloatComplexNDArray& a, const FloatComplex& 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 FloatComplexNDArray result (a.dims ()); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2759 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2760 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
|
2761 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2762 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2763 result(i) = std::pow (a(i), b); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2764 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2765 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2766 return result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2767 } |
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 // -*- 12 -*- |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2770 octave_value |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2771 elem_xpow (const FloatComplexNDArray& a, const FloatComplexNDArray& b) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2772 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2773 dim_vector a_dims = a.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2774 dim_vector b_dims = b.dims (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2775 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2776 if (a_dims != b_dims) |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2777 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2778 gripe_nonconformant ("operator .^", a_dims, b_dims); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2779 return octave_value (); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2780 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2781 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2782 FloatComplexNDArray result (a_dims); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2783 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2784 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
|
2785 { |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2786 OCTAVE_QUIT; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2787 result(i) = std::pow (a(i), b(i)); |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2788 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2789 |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2790 return result; |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2791 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7578
diff
changeset
|
2792 |
1 | 2793 /* |
2794 ;;; Local Variables: *** | |
2795 ;;; mode: C++ *** | |
2796 ;;; End: *** | |
2797 */ |