Mercurial > octave
annotate libinterp/corefcn/sqrtm.cc @ 21266:e69eaee28737
make better use of templates for Schur decomposition
* liboctave/numeric/schur.h, liboctave/numeric/schur.cc:
New files generated from SCHUR.h, SCHUR.cc, CmplxSCHUR.h,
CmplxSCHUR.cc, dbleSCHUR.h, dbleSCHUR.cc, fCmplxSCHUR.h,
fCmplxSCHUR.cc, floatSCHUR.h, and floatSCHUR.cc and making them
templates.
* liboctave/numeric/module.mk: Update.
* libinterp/corefcn/schur.cc, sqrtm.cc, CMatrix.cc, dMatrix.cc,
fCMatrix.cc, fMatrix.cc, mx-defs.h, mx-ext.h: Use new template classes
and header file.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Mon, 15 Feb 2016 20:06:12 -0500 |
parents | fcac5dbbf9ed |
children | 40de9f8f23a6 |
rev | line source |
---|---|
4331 | 1 /* |
2 | |
19697
4197fc428c7d
maint: Update copyright notices for 2015.
John W. Eaton <jwe@octave.org>
parents:
19040
diff
changeset
|
3 Copyright (C) 2001-2015 Ross Lippert and Paul Kienzle |
10608 | 4 Copyright (C) 2010 VZLU Prague |
4331 | 5 |
7016 | 6 This file is part of Octave. |
4331 | 7 |
7016 | 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 | |
10 Free Software Foundation; either version 3 of the License, or (at your | |
11 option) any later version. | |
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. | |
4331 | 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/>. | |
4331 | 21 |
22 */ | |
23 | |
24 #ifdef HAVE_CONFIG_H | |
21200
fcac5dbbf9ed
maint: Indent #ifdef blocks in libinterp.
Rik <rik@octave.org>
parents:
21139
diff
changeset
|
25 # include <config.h> |
4331 | 26 #endif |
27 | |
28 #include <float.h> | |
29 | |
21266
e69eaee28737
make better use of templates for Schur decomposition
John W. Eaton <jwe@octave.org>
parents:
21200
diff
changeset
|
30 #include "schur.h" |
4331 | 31 #include "lo-ieee.h" |
32 #include "lo-mappers.h" | |
10608 | 33 #include "oct-norm.h" |
4331 | 34 |
15039
e753177cde93
maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory
Rik <rik@octave.org>
parents:
14501
diff
changeset
|
35 #include "defun.h" |
4331 | 36 #include "error.h" |
21100
e39e05d90788
Switch gripe_XXX to either err_XXX or warn_XXX naming scheme.
Rik <rik@octave.org>
parents:
21017
diff
changeset
|
37 #include "errwarn.h" |
4331 | 38 #include "utils.h" |
10608 | 39 #include "xnorm.h" |
4331 | 40 |
21139
538b57866b90
consistently use "typename" intead of "class" in template declarations
John W. Eaton <jwe@octave.org>
parents:
21110
diff
changeset
|
41 template <typename Matrix> |
10608 | 42 static void |
43 sqrtm_utri_inplace (Matrix& T) | |
4331 | 44 { |
10608 | 45 typedef typename Matrix::element_type element_type; |
4331 | 46 |
10608 | 47 const element_type zero = element_type (); |
4331 | 48 |
10608 | 49 bool singular = false; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
50 |
12902
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
51 // The following code is equivalent to this triple loop: |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
52 // |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
53 // n = rows (T); |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
54 // for j = 1:n |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
55 // T(j,j) = sqrt (T(j,j)); |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
56 // for i = j-1:-1:1 |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
57 // T(i,j) /= (T(i,i) + T(j,j)); |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
58 // k = 1:i-1; |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
59 // T(k,j) -= T(k,i) * T(i,j); |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
60 // endfor |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
61 // endfor |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
62 // |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
63 // this is an in-place, cache-aligned variant of the code |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
64 // given in Higham's paper. |
4331 | 65 |
10608 | 66 const octave_idx_type n = T.rows (); |
67 element_type *Tp = T.fortran_vec (); | |
5275 | 68 for (octave_idx_type j = 0; j < n; j++) |
4331 | 69 { |
10608 | 70 element_type *colj = Tp + n*j; |
71 if (colj[j] != zero) | |
72 colj[j] = sqrt (colj[j]); | |
73 else | |
74 singular = true; | |
4331 | 75 |
10608 | 76 for (octave_idx_type i = j-1; i >= 0; i--) |
77 { | |
78 const element_type *coli = Tp + n*i; | |
79 const element_type colji = colj[i] /= (coli[i] + colj[j]); | |
80 for (octave_idx_type k = 0; k < i; k++) | |
81 colj[k] -= coli[k] * colji; | |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
82 } |
4331 | 83 } |
84 | |
10608 | 85 if (singular) |
10629
b7c4954e1c00
add specific ID for sqrtm singularity warning
Jaroslav Hajek <highegg@gmail.com>
parents:
10619
diff
changeset
|
86 warning_with_id ("Octave:sqrtm:SingularMatrix", |
b7c4954e1c00
add specific ID for sqrtm singularity warning
Jaroslav Hajek <highegg@gmail.com>
parents:
10619
diff
changeset
|
87 "sqrtm: matrix is singular, may not have a square root"); |
4331 | 88 } |
89 | |
21139
538b57866b90
consistently use "typename" intead of "class" in template declarations
John W. Eaton <jwe@octave.org>
parents:
21110
diff
changeset
|
90 template <typename Matrix, typename ComplexMatrix, typename ComplexSCHUR> |
10608 | 91 static octave_value |
92 do_sqrtm (const octave_value& arg) | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
93 { |
10608 | 94 |
95 octave_value retval; | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
96 |
10608 | 97 MatrixType mt = arg.matrix_type (); |
98 | |
99 bool iscomplex = arg.is_complex_type (); | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
100 |
10608 | 101 typedef typename Matrix::element_type real_type; |
102 | |
18100
6a71e5030df5
Follow coding convention of defining and initializing only 1 variable per line in liboctinterp.
Rik <rik@octave.org>
parents:
17787
diff
changeset
|
103 real_type cutoff = 0; |
6a71e5030df5
Follow coding convention of defining and initializing only 1 variable per line in liboctinterp.
Rik <rik@octave.org>
parents:
17787
diff
changeset
|
104 real_type one = 1; |
10608 | 105 real_type eps = std::numeric_limits<real_type>::epsilon (); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
106 |
10608 | 107 if (! iscomplex) |
108 { | |
109 Matrix x = octave_value_extract<Matrix> (arg); | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
110 |
10608 | 111 if (mt.is_unknown ()) // if type is not known, compute it now. |
112 arg.matrix_type (mt = MatrixType (x)); | |
113 | |
114 switch (mt.type ()) | |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
115 { |
10608 | 116 case MatrixType::Upper: |
117 case MatrixType::Diagonal: | |
12902
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
118 if (! x.diag ().any_element_is_negative ()) |
10608 | 119 { |
12902
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
120 // Do it in real arithmetic. |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
121 sqrtm_utri_inplace (x); |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
122 retval = x; |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
123 retval.matrix_type (mt); |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
124 } |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
125 else |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
126 iscomplex = true; |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
127 break; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
128 |
12902
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
129 case MatrixType::Lower: |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
130 if (! x.diag ().any_element_is_negative ()) |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
131 { |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
132 x = x.transpose (); |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
133 sqrtm_utri_inplace (x); |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
134 retval = x.transpose (); |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
135 retval.matrix_type (mt); |
10608 | 136 } |
12902
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
137 else |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
138 iscomplex = true; |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
139 break; |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
140 |
10608 | 141 default: |
12902
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
142 iscomplex = true; |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
143 break; |
10608 | 144 } |
145 | |
146 if (iscomplex) | |
147 cutoff = 10 * x.rows () * eps * xnorm (x, one); | |
148 } | |
149 | |
150 if (iscomplex) | |
151 { | |
152 ComplexMatrix x = octave_value_extract<ComplexMatrix> (arg); | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
153 |
10608 | 154 if (mt.is_unknown ()) // if type is not known, compute it now. |
155 arg.matrix_type (mt = MatrixType (x)); | |
156 | |
157 switch (mt.type ()) | |
158 { | |
159 case MatrixType::Upper: | |
160 case MatrixType::Diagonal: | |
12902
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
161 sqrtm_utri_inplace (x); |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
162 retval = x; |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
163 retval.matrix_type (mt); |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
164 break; |
10608 | 165 |
166 case MatrixType::Lower: | |
12902
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
167 x = x.transpose (); |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
168 sqrtm_utri_inplace (x); |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
169 retval = x.transpose (); |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
170 retval.matrix_type (mt); |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
171 break; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
172 |
10608 | 173 default: |
12902
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
174 { |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
175 ComplexMatrix u; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
176 |
12902
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
177 do |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
178 { |
21266
e69eaee28737
make better use of templates for Schur decomposition
John W. Eaton <jwe@octave.org>
parents:
21200
diff
changeset
|
179 ComplexSCHUR schur_fact (x, "", true); |
e69eaee28737
make better use of templates for Schur decomposition
John W. Eaton <jwe@octave.org>
parents:
21200
diff
changeset
|
180 x = schur_fact.schur_matrix (); |
e69eaee28737
make better use of templates for Schur decomposition
John W. Eaton <jwe@octave.org>
parents:
21200
diff
changeset
|
181 u = schur_fact.unitary_matrix (); |
12902
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
182 } |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
183 while (0); // schur no longer needed. |
10608 | 184 |
12902
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
185 sqrtm_utri_inplace (x); |
10608 | 186 |
12902
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
187 x = u * x; // original x no longer needed. |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
188 ComplexMatrix res = xgemm (x, u, blas_no_trans, blas_conj_trans); |
10608 | 189 |
12902
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
190 if (cutoff > 0 && xnorm (imag (res), one) <= cutoff) |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
191 retval = real (res); |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
192 else |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
193 retval = res; |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
194 } |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
195 break; |
10154
40dfc0c99116
DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents:
9064
diff
changeset
|
196 } |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
197 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
198 |
10608 | 199 return retval; |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
200 } |
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
201 |
15039
e753177cde93
maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory
Rik <rik@octave.org>
parents:
14501
diff
changeset
|
202 DEFUN (sqrtm, args, nargout, |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
203 "-*- texinfo -*-\n\ |
20853
1142cf6abc0d
2015 Code Sprint: remove class of function from docstring for all C++ files.
Rik <rik@octave.org>
parents:
20819
diff
changeset
|
204 @deftypefn {} {@var{s} =} sqrtm (@var{A})\n\ |
1142cf6abc0d
2015 Code Sprint: remove class of function from docstring for all C++ files.
Rik <rik@octave.org>
parents:
20819
diff
changeset
|
205 @deftypefnx {} {[@var{s}, @var{error_estimate}] =} sqrtm (@var{A})\n\ |
11553
01f703952eff
Improve docstrings for functions in DLD-FUNCTIONS directory.
Rik <octave@nomad.inbox5.com>
parents:
11523
diff
changeset
|
206 Compute the matrix square root of the square matrix @var{A}.\n\ |
4331 | 207 \n\ |
19040
0850b5212619
doc: Add @nospell macro around proper names in documentation.
Rik <rik@octave.org>
parents:
18100
diff
changeset
|
208 Ref: @nospell{N.J. Higham}. @cite{A New sqrtm for @sc{matlab}}. Numerical\n\ |
10791
3140cb7a05a1
Add spellchecker scripts for Octave and run spellcheck of documentation
Rik <octave@nomad.inbox5.com>
parents:
10629
diff
changeset
|
209 Analysis Report No. 336, Manchester @nospell{Centre} for Computational\n\ |
3140cb7a05a1
Add spellchecker scripts for Octave and run spellcheck of documentation
Rik <octave@nomad.inbox5.com>
parents:
10629
diff
changeset
|
210 Mathematics, Manchester, England, January 1999.\n\ |
8286
6f2d95255911
fix @seealso references to point to existing anchors
Thorsten Meyer <thorsten.meyier@gmx.de>
parents:
7795
diff
changeset
|
211 @seealso{expm, logm}\n\ |
5642 | 212 @end deftypefn") |
4331 | 213 { |
20819
f428cbe7576f
eliminate unnecessary uses of nargin
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
214 if (args.length () != 1) |
20801
a542a9bf177e
eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents:
20555
diff
changeset
|
215 print_usage (); |
4331 | 216 |
217 octave_value arg = args(0); | |
218 | |
5275 | 219 octave_idx_type n = arg.rows (); |
220 octave_idx_type nc = arg.columns (); | |
4331 | 221 |
10608 | 222 if (n != nc || arg.ndims () > 2) |
21110
3d0d84305600
Use err_square_matrix_required more widely.
Rik <rik@octave.org>
parents:
21100
diff
changeset
|
223 err_square_matrix_required ("sqrtm", "A"); |
4331 | 224 |
20892 | 225 octave_value_list retval (nargout > 1 ? 3 : 1); |
226 | |
14022
de90542b7afc
Return retval(1) before retval(0) to avoid re-sizing call on retval.
Rik <octave@nomad.inbox5.com>
parents:
12926
diff
changeset
|
227 if (nargout > 1) |
de90542b7afc
Return retval(1) before retval(0) to avoid re-sizing call on retval.
Rik <octave@nomad.inbox5.com>
parents:
12926
diff
changeset
|
228 { |
20892 | 229 // FIXME: Octave does not calculate a condition number with respect to |
230 // sqrtm. Should this return NaN instead of -1? | |
14022
de90542b7afc
Return retval(1) before retval(0) to avoid re-sizing call on retval.
Rik <octave@nomad.inbox5.com>
parents:
12926
diff
changeset
|
231 retval(2) = -1.0; |
de90542b7afc
Return retval(1) before retval(0) to avoid re-sizing call on retval.
Rik <octave@nomad.inbox5.com>
parents:
12926
diff
changeset
|
232 } |
de90542b7afc
Return retval(1) before retval(0) to avoid re-sizing call on retval.
Rik <octave@nomad.inbox5.com>
parents:
12926
diff
changeset
|
233 |
10608 | 234 if (arg.is_diag_matrix ()) |
12902
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
235 // sqrtm of a diagonal matrix is just sqrt. |
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
236 retval(0) = arg.sqrt (); |
10608 | 237 else if (arg.is_single_type ()) |
21266
e69eaee28737
make better use of templates for Schur decomposition
John W. Eaton <jwe@octave.org>
parents:
21200
diff
changeset
|
238 retval(0) = do_sqrtm<FloatMatrix, FloatComplexMatrix, |
e69eaee28737
make better use of templates for Schur decomposition
John W. Eaton <jwe@octave.org>
parents:
21200
diff
changeset
|
239 schur<FloatComplexMatrix> > (arg); |
10608 | 240 else if (arg.is_numeric_type ()) |
21266
e69eaee28737
make better use of templates for Schur decomposition
John W. Eaton <jwe@octave.org>
parents:
21200
diff
changeset
|
241 retval(0) = do_sqrtm<Matrix, ComplexMatrix, schur<ComplexMatrix> > (arg); |
4331 | 242 |
20555
f90c8372b7ba
eliminate many more simple uses of error_state
John W. Eaton <jwe@octave.org>
parents:
19697
diff
changeset
|
243 if (nargout > 1) |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
244 { |
10608 | 245 // This corresponds to generic code |
12902
b9c66f891281
maint: style fixes for sqrtm
John W. Eaton <jwe@octave.org>
parents:
12829
diff
changeset
|
246 // |
10608 | 247 // norm (s*s - x, "fro") / norm (x, "fro"); |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
248 |
10608 | 249 octave_value s = retval(0); |
250 retval(1) = xfrobnorm (s*s - arg) / xfrobnorm (arg); | |
7789
82be108cc558
First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents:
7017
diff
changeset
|
251 } |
4331 | 252 |
253 return retval; | |
254 } | |
12829
ab529124f516
codesprint: Wrote 3 tests for sqrtm.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents:
12584
diff
changeset
|
255 |
ab529124f516
codesprint: Wrote 3 tests for sqrtm.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents:
12584
diff
changeset
|
256 /* |
ab529124f516
codesprint: Wrote 3 tests for sqrtm.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents:
12584
diff
changeset
|
257 %!assert (sqrtm (2*ones (2)), ones (2), 3*eps) |
ab529124f516
codesprint: Wrote 3 tests for sqrtm.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents:
12584
diff
changeset
|
258 |
ab529124f516
codesprint: Wrote 3 tests for sqrtm.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents:
12584
diff
changeset
|
259 ## The following two tests are from the reference in the docstring above. |
12926
838ada8779a5
Fix brain-o in sqrtm test
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents:
12917
diff
changeset
|
260 %!test |
838ada8779a5
Fix brain-o in sqrtm test
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents:
12917
diff
changeset
|
261 %! x = [0 1; 0 0]; |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
262 %! assert (any (isnan (sqrtm (x))(:))); |
12829
ab529124f516
codesprint: Wrote 3 tests for sqrtm.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents:
12584
diff
changeset
|
263 |
ab529124f516
codesprint: Wrote 3 tests for sqrtm.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents:
12584
diff
changeset
|
264 %!test |
14501
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
265 %! x = eye (4); x(2,2) = x(3,3) = 2^-26; x(1,4) = 1; |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
266 %! z = eye (4); z(2,2) = z(3,3) = 2^-13; z(1,4) = 0.5; |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
267 %! [y, err] = sqrtm (x); |
60e5cf354d80
Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
268 %! assert (y, z); |
17336
b81b9d079515
Use '##' for comments which stand alone on a line.
Rik <rik@octave.org>
parents:
15195
diff
changeset
|
269 %! assert (err, 0); # Yes, this one has to hold exactly |
12829
ab529124f516
codesprint: Wrote 3 tests for sqrtm.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents:
12584
diff
changeset
|
270 */ |