Mercurial > octave
annotate libinterp/corefcn/pinv.cc @ 21966:112b20240c87
move docstrings in C++ files out of C strings and into comments
* __contourc__.cc, __dispatch__.cc, __dsearchn__.cc, __ichol__.cc,
__ilu__.cc, __lin_interpn__.cc, __luinc__.cc, __magick_read__.cc,
__pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc, betainc.cc,
bitfcns.cc, bsxfun.cc, cellfun.cc, colloc.cc, conv2.cc, daspk.cc,
dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc, det.cc, dirfns.cc,
dlmread.cc, dot.cc, eig.cc, ellipj.cc, error.cc, fft.cc, fft2.cc,
fftn.cc, file-io.cc, filter.cc, find.cc, gammainc.cc, gcd.cc,
getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, graphics.cc,
hash.cc, help.cc, hess.cc, hex2num.cc, input.cc, inv.cc, kron.cc,
load-path.cc, load-save.cc, lookup.cc, ls-oct-text.cc, lsode.cc,
lu.cc, mappers.cc, matrix_type.cc, max.cc, mgorth.cc, nproc.cc,
oct-hist.cc, octave-link.cc, ordschur.cc, pager.cc, pinv.cc,
pr-output.cc, profiler.cc, psi.cc, pt-jit.cc, quad.cc, quadcc.cc,
qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, sighandlers.cc,
sparse.cc, spparms.cc, sqrtm.cc, str2double.cc, strfind.cc, strfns.cc,
sub2ind.cc, svd.cc, sylvester.cc, symtab.cc, syscalls.cc, sysdep.cc,
time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, urlwrite.cc,
utils.cc, variables.cc, __delaunayn__.cc, __eigs__.cc,
__fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc,
__init_gnuplot__.cc, __osmesa_print__.cc, __voronoi__.cc, amd.cc,
audiodevinfo.cc, audioread.cc, ccolamd.cc, chol.cc, colamd.cc,
convhulln.cc, dmperm.cc, fftw.cc, qr.cc, symbfact.cc, symrcm.cc,
ov-base.cc, ov-bool-mat.cc, ov-cell.cc, ov-class.cc, ov-classdef.cc,
ov-fcn-handle.cc, ov-fcn-inline.cc, ov-flt-re-mat.cc, ov-int16.cc,
ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.cc, ov-null-mat.cc,
ov-oncleanup.cc, ov-range.cc, ov-re-mat.cc, ov-struct.cc,
ov-typeinfo.cc, ov-uint16.cc, ov-uint32.cc, ov-uint64.cc, ov-uint8.cc,
ov-usr-fcn.cc, ov.cc, octave.cc, pt-arg-list.cc, pt-binop.cc,
pt-eval.cc, pt-mat.cc, lex.ll, oct-parse.in.yy:
Docstrings are now comments instead of C strings.
* build-aux/mk-opts.pl: Emit docstrings as comments instead of C
strings.
* DASPK-opts.in, LSODE-opts.in: Don't quote " in docstring fragments.
* builtins.h: Include builtin-defun-decls.h unconditionally.
* defun.h (DEFUN, DEFUNX, DEFCONSTFUN): Simply emit declaration.
(DEFALIAS): Always expand to nothing.
* defun-dld.h: No special macro expansions for MAKE_BUILTINS.
(DEFUN_DLD): Use FORWARD_DECLARE_FUN.
(DEFUNX_DLD): Use FORWARD_DECLARE_FUNX.
* defun-int.h: No special macro expansions for MAKE_BUILTINS.
(FORWARD_DECLARE_FUN, FORWARD_DECLARE_FUNX): New macros.
(DEFINE_FUN_INSTALLER_FUN): If compiling an Octave source file, pass
"external-doc" to DEFINE_FUNX_INSTALLER_FUN.
(DEFUN_INTERNAL, DEFCONSTFUN_INTERNAL, DEFUNX_INTERNAL,
DEFALIAS_INTERNAL): Delete.
* common.mk (move_if_change_rule): New macro.
(simple_move_if_change_rule): Define using move_if_change_rule.
* find-defun-files.sh (DEFUN_PATTERN): Update. Don't transform file
name extension to ".df".
* libinterp/mk-pkg-add, gendoc.pl: Operate directly on source files.
* mkbuiltins: New argument, SRCDIR. Operate directly on source files.
* mkdefs: Delete.
* libinterp/module.mk (BUILT_SOURCES): Update list to contain only
files included in other source files.
(GENERATED_MAKE_BUILTINS_INCS, DEF_FILES): Delete.
(LIBINTERP_BUILT_DISTFILES): Include $(OPT_HANDLERS) here.
(LIBINTERP_BUILT_NODISTFILES): Not here. Remove $(ALL_DEF_FILES from
the list.
(libinterp_EXTRA_DIST): Remove mkdefs from the list.
(FOUND_DEFUN_FILES): Rename from SRC_DEF_FILES.
(DLDFCN_DEFUN_FILES): Rename from DLDFCN_DEF_FILES.
(SRC_DEFUN_FILES): Rename from SRC_DEF_FILES.
(ALL_DEFUN_FILES): Rename from ALL_DEF_FILES.
(%.df: %.cc): Delete pattern rule.
(libinterp/build-env-features.cc, libinterp/builtins.cc,
libinterp/dldfcn/PKG_ADD): Use mv instead of move-if-change.
(libinterp/builtins.cc, libinterp/builtin-defun-decls.h):
Update mkbuiltins command.
($(srcdir)/libinterp/DOCSTRINGS): Update gendoc.pl command.
* liboctave/module.mk (BUILT_SOURCES): Don't include
liboctave-build-info.cc in the list.
author | John W. Eaton <jwe@octave.org> |
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date | Tue, 21 Jun 2016 16:07:51 -0400 |
parents | aba2e6293dd8 |
children | bac0d6f07a3e |
rev | line source |
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2928 | 1 /* |
2 | |
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3 Copyright (C) 1996-2015 John W. Eaton |
2928 | 4 |
5 This file is part of Octave. | |
6 | |
7 Octave is free software; you can redistribute it and/or modify it | |
8 under the terms of the GNU General Public License as published by the | |
7016 | 9 Free Software Foundation; either version 3 of the License, or (at your |
10 option) any later version. | |
2928 | 11 |
12 Octave is distributed in the hope that it will be useful, but WITHOUT | |
13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
15 for more details. | |
16 | |
17 You should have received a copy of the GNU General Public License | |
7016 | 18 along with Octave; see the file COPYING. If not, see |
19 <http://www.gnu.org/licenses/>. | |
2928 | 20 |
21 */ | |
22 | |
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23 #if defined (HAVE_CONFIG_H) |
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24 # include "config.h" |
2928 | 25 #endif |
26 | |
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27 #include "defun.h" |
2928 | 28 #include "error.h" |
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29 #include "errwarn.h" |
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30 #include "ovl.h" |
2928 | 31 #include "utils.h" |
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32 #include "ops.h" |
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33 #include "ov-re-diag.h" |
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34 #include "ov-cx-diag.h" |
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35 #include "ov-flt-re-diag.h" |
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36 #include "ov-flt-cx-diag.h" |
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37 #include "ov-perm.h" |
2928 | 38 |
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39 DEFUN (pinv, args, , |
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40 doc: /* -*- texinfo -*- |
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41 @deftypefn {} {} pinv (@var{x}) |
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42 @deftypefnx {} {} pinv (@var{x}, @var{tol}) |
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43 Return the pseudoinverse of @var{x}. |
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44 |
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45 Singular values less than @var{tol} are ignored. |
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46 |
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47 If the second argument is omitted, it is taken to be |
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48 |
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49 @example |
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50 tol = max (size (@var{x})) * sigma_max (@var{x}) * eps, |
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51 @end example |
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52 |
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53 @noindent |
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54 where @code{sigma_max (@var{x})} is the maximal singular value of @var{x}. |
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55 @end deftypefn */) |
2928 | 56 { |
57 int nargin = args.length (); | |
58 | |
59 if (nargin < 1 || nargin > 2) | |
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60 print_usage (); |
2928 | 61 |
62 octave_value arg = args(0); | |
63 | |
64 int arg_is_empty = empty_arg ("pinv", arg.rows (), arg.columns ()); | |
65 | |
66 if (arg_is_empty < 0) | |
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67 return ovl (); |
2928 | 68 else if (arg_is_empty > 0) |
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69 return ovl (Matrix ()); |
2928 | 70 |
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71 octave_value retval; |
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72 |
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73 bool isfloat = arg.is_single_type (); |
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74 |
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75 if (arg.is_diag_matrix ()) |
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76 { |
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77 if (isfloat) |
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78 { |
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79 float tol = 0.0; |
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80 if (nargin == 2) |
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81 tol = args(1).float_value (); |
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82 |
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83 if (tol < 0.0) |
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84 error ("pinv: TOL must be greater than zero"); |
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85 |
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86 if (arg.is_real_type ()) |
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87 retval = arg.float_diag_matrix_value ().pseudo_inverse (tol); |
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88 else |
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89 retval = arg.float_complex_diag_matrix_value ().pseudo_inverse (tol); |
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90 } |
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91 else |
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92 { |
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93 double tol = 0.0; |
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94 if (nargin == 2) |
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95 tol = args(1).double_value (); |
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96 |
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97 if (tol < 0.0) |
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98 error ("pinv: TOL must be greater than zero"); |
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99 |
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100 if (arg.is_real_type ()) |
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101 retval = arg.diag_matrix_value ().pseudo_inverse (tol); |
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102 else |
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103 retval = arg.complex_diag_matrix_value ().pseudo_inverse (tol); |
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104 } |
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105 } |
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106 else if (arg.is_perm_matrix ()) |
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107 { |
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108 retval = arg.perm_matrix_value ().inverse (); |
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109 } |
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110 else if (isfloat) |
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112 float tol = 0.0; |
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113 if (nargin == 2) |
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114 tol = args(1).float_value (); |
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115 |
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116 if (tol < 0.0) |
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117 error ("pinv: TOL must be greater than zero"); |
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119 if (arg.is_real_type ()) |
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120 { |
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121 FloatMatrix m = arg.float_matrix_value (); |
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123 retval = m.pseudo_inverse (tol); |
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124 } |
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125 else if (arg.is_complex_type ()) |
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126 { |
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127 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
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128 |
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129 retval = m.pseudo_inverse (tol); |
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130 } |
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131 else |
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132 err_wrong_type_arg ("pinv", arg); |
2928 | 133 } |
134 else | |
135 { | |
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136 double tol = 0.0; |
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137 if (nargin == 2) |
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138 tol = args(1).double_value (); |
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139 |
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140 if (tol < 0.0) |
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141 error ("pinv: TOL must be greater than zero"); |
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142 |
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143 if (arg.is_real_type ()) |
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144 { |
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145 Matrix m = arg.matrix_value (); |
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146 |
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147 retval = m.pseudo_inverse (tol); |
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148 } |
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149 else if (arg.is_complex_type ()) |
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150 { |
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151 ComplexMatrix m = arg.complex_matrix_value (); |
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152 |
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153 retval = m.pseudo_inverse (tol); |
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154 } |
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155 else |
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156 err_wrong_type_arg ("pinv", arg); |
2928 | 157 } |
158 | |
159 return retval; | |
160 } | |
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161 |
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162 /* |
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163 %!shared a, b, tol, hitol, d, u, x, y |
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164 %! a = reshape (rand*[1:16], 4, 4); # Rank 2 matrix |
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165 %! b = pinv (a); |
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166 %! tol = 4e-14; |
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167 %! hitol = 40*sqrt (eps); |
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168 %! d = diag ([rand, rand, hitol, hitol]); |
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169 %! u = rand (4); # Could be singular by freak accident |
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170 %! x = inv (u)*d*u; |
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171 %! y = pinv (x, sqrt (eps)); |
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172 %! |
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173 %!assert (a*b*a, a, tol) |
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174 %!assert (b*a*b, b, tol) |
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175 %!assert ((b*a)', b*a, tol) |
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176 %!assert ((a*b)', a*b, tol) |
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177 %!assert (x*y*x, x, -hitol) |
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178 %!assert (y*x*y, y, -hitol) |
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179 %!assert ((x*y)', x*y, hitol) |
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180 %!assert ((y*x)', y*x, hitol) |
18494 | 181 |
182 ## Clear shared variables | |
183 %!shared | |
184 | |
185 ## Test pinv for Diagonal matrices | |
186 %!test | |
187 %! x = diag ([3 2 1 0 -0.5]); | |
188 %! y = pinv (x); | |
189 %! assert (typeinfo (y)(1:8), "diagonal"); | |
190 %! assert (isa (y, "double")); | |
191 %! assert (diag (y), [1/3, 1/2, 1, 0 1/-0.5]'); | |
192 %! y = pinv (x, 1); | |
193 %! assert (diag (y), [1/3 1/2 1 0 0]'); | |
194 %! y = pinv (x, 2); | |
195 %! assert (diag (y), [1/3 1/2 0 0 0]'); | |
196 | |
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197 */ |