annotate libinterp/corefcn/pinv.cc @ 31605:e88a07dec498 stable

maint: Use macros to begin/end C++ namespaces. * oct-conf-post-public.in.h: Define two macros (OCTAVE_BEGIN_NAMESPACE, OCTAVE_END_NAMESPACE) that can be used to start/end a namespace. * mk-opts.pl, build-env.h, build-env.in.cc, __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc, __expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc, __isprimelarge__.cc, __lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, amd.cc, auto-shlib.cc, auto-shlib.h, balance.cc, base-text-renderer.cc, base-text-renderer.h, besselj.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.cc, c-file-ptr-stream.h, call-stack.cc, call-stack.h, ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, data.h, debug.cc, defaults.cc, defaults.h, defun-int.h, defun.cc, det.cc, dirfns.cc, display.cc, display.h, dlmread.cc, dmperm.cc, dot.cc, dynamic-ld.cc, dynamic-ld.h, eig.cc, ellipj.cc, environment.cc, environment.h, error.cc, error.h, errwarn.h, event-manager.cc, event-manager.h, event-queue.cc, event-queue.h, fcn-info.cc, fcn-info.h, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, ft-text-renderer.cc, ft-text-renderer.h, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, gl-render.cc, gl-render.h, gl2ps-print.cc, gl2ps-print.h, graphics-toolkit.cc, graphics-toolkit.h, graphics.cc, graphics.in.h, gsvd.cc, gtk-manager.cc, gtk-manager.h, hash.cc, help.cc, help.h, hess.cc, hex2num.cc, hook-fcn.cc, hook-fcn.h, input.cc, input.h, interpreter-private.cc, interpreter-private.h, interpreter.cc, interpreter.h, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc, latex-text-renderer.cc, latex-text-renderer.h, load-path.cc, load-path.h, load-save.cc, load-save.h, lookup.cc, ls-ascii-helper.cc, ls-ascii-helper.h, ls-oct-text.cc, ls-utils.cc, ls-utils.h, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mex-private.h, mex.cc, mgorth.cc, nproc.cc, oct-fstrm.cc, oct-fstrm.h, oct-hdf5-types.cc, oct-hdf5-types.h, oct-hist.cc, oct-hist.h, oct-iostrm.cc, oct-iostrm.h, oct-opengl.h, oct-prcstrm.cc, oct-prcstrm.h, oct-procbuf.cc, oct-procbuf.h, oct-process.cc, oct-process.h, oct-stdstrm.h, oct-stream.cc, oct-stream.h, oct-strstrm.cc, oct-strstrm.h, oct-tex-lexer.in.ll, oct-tex-parser.yy, ordqz.cc, ordschur.cc, pager.cc, pager.h, pinv.cc, pow2.cc, pr-flt-fmt.cc, pr-output.cc, procstream.cc, procstream.h, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, settings.cc, settings.h, sighandlers.cc, sighandlers.h, sparse-xdiv.cc, sparse-xdiv.h, sparse-xpow.cc, sparse-xpow.h, sparse.cc, spparms.cc, sqrtm.cc, stack-frame.cc, stack-frame.h, stream-euler.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symbfact.cc, syminfo.cc, syminfo.h, symrcm.cc, symrec.cc, symrec.h, symscope.cc, symscope.h, symtab.cc, symtab.h, syscalls.cc, sysdep.cc, sysdep.h, text-engine.cc, text-engine.h, text-renderer.cc, text-renderer.h, time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, url-handle-manager.cc, url-handle-manager.h, urlwrite.cc, utils.cc, utils.h, variables.cc, variables.h, xdiv.cc, xdiv.h, xnorm.cc, xnorm.h, xpow.cc, xpow.h, __delaunayn__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc, __init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audiodevinfo.cc, audioread.cc, convhulln.cc, fftw.cc, gzip.cc, mk-build-env-features.sh, mk-builtins.pl, cdef-class.cc, cdef-class.h, cdef-fwd.h, cdef-manager.cc, cdef-manager.h, cdef-method.cc, cdef-method.h, cdef-object.cc, cdef-object.h, cdef-package.cc, cdef-package.h, cdef-property.cc, cdef-property.h, cdef-utils.cc, cdef-utils.h, ov-base.cc, ov-base.h, ov-bool-mat.cc, ov-builtin.h, ov-cell.cc, ov-class.cc, ov-class.h, ov-classdef.cc, ov-classdef.h, ov-complex.cc, ov-fcn-handle.cc, ov-fcn-handle.h, ov-fcn.h, ov-java.cc, ov-java.h, ov-mex-fcn.h, ov-null-mat.cc, ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-typeinfo.h, ov-usr-fcn.cc, ov-usr-fcn.h, ov.cc, ov.h, octave.cc, octave.h, mk-ops.sh, op-b-b.cc, op-b-bm.cc, op-b-sbm.cc, op-bm-b.cc, op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc, op-chm.cc, op-class.cc, op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc, op-cm-scm.cc, op-cm-sm.cc, op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc, op-cs-scm.cc, op-cs-sm.cc, op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc, op-dm-template.cc, op-dms-template.cc, op-fcdm-fcdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc, op-fcn.cc, op-fcs-fcm.cc, op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc, op-fdm-fdm.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fm.cc, op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc, op-fs-fm.cc, op-fs-fs.cc, op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc, op-m-sm.cc, op-mi.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc, op-pm-template.cc, op-range.cc, op-s-cm.cc, op-s-cs.cc, op-s-m.cc, op-s-s.cc, op-s-scm.cc, op-s-sm.cc, op-sbm-b.cc, op-sbm-bm.cc, op-sbm-sbm.cc, op-scm-cm.cc, op-scm-cs.cc, op-scm-m.cc, op-scm-s.cc, op-scm-scm.cc, op-scm-sm.cc, op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc, op-sm-s.cc, op-sm-scm.cc, op-sm-sm.cc, op-str-m.cc, op-str-s.cc, op-str-str.cc, op-struct.cc, op-ui16-ui16.cc, op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc, ops.h, anon-fcn-validator.cc, anon-fcn-validator.h, bp-table.cc, bp-table.h, comment-list.cc, comment-list.h, filepos.h, lex.h, lex.ll, oct-lvalue.cc, oct-lvalue.h, oct-parse.yy, parse.h, profiler.cc, profiler.h, pt-anon-scopes.cc, pt-anon-scopes.h, pt-arg-list.cc, pt-arg-list.h, pt-args-block.cc, pt-args-block.h, pt-array-list.cc, pt-array-list.h, pt-assign.cc, pt-assign.h, pt-binop.cc, pt-binop.h, pt-bp.cc, pt-bp.h, pt-cbinop.cc, pt-cbinop.h, pt-cell.cc, pt-cell.h, pt-check.cc, pt-check.h, pt-classdef.cc, pt-classdef.h, pt-cmd.h, pt-colon.cc, pt-colon.h, pt-const.cc, pt-const.h, pt-decl.cc, pt-decl.h, pt-eval.cc, pt-eval.h, pt-except.cc, pt-except.h, pt-exp.cc, pt-exp.h, pt-fcn-handle.cc, pt-fcn-handle.h, pt-id.cc, pt-id.h, pt-idx.cc, pt-idx.h, pt-jump.h, pt-loop.cc, pt-loop.h, pt-mat.cc, pt-mat.h, pt-misc.cc, pt-misc.h, pt-pr-code.cc, pt-pr-code.h, pt-select.cc, pt-select.h, pt-spmd.cc, pt-spmd.h, pt-stmt.cc, pt-stmt.h, pt-tm-const.cc, pt-tm-const.h, pt-unop.cc, pt-unop.h, pt-vm-eval.cc, pt-walk.cc, pt-walk.h, pt.cc, pt.h, token.cc, token.h, Range.cc, Range.h, idx-vector.cc, idx-vector.h, range-fwd.h, CollocWt.cc, CollocWt.h, aepbalance.cc, aepbalance.h, chol.cc, chol.h, gepbalance.cc, gepbalance.h, gsvd.cc, gsvd.h, hess.cc, hess.h, lo-mappers.cc, lo-mappers.h, lo-specfun.cc, lo-specfun.h, lu.cc, lu.h, oct-convn.cc, oct-convn.h, oct-fftw.cc, oct-fftw.h, oct-norm.cc, oct-norm.h, oct-rand.cc, oct-rand.h, oct-spparms.cc, oct-spparms.h, qr.cc, qr.h, qrp.cc, qrp.h, randgamma.cc, randgamma.h, randmtzig.cc, randmtzig.h, randpoisson.cc, randpoisson.h, schur.cc, schur.h, sparse-chol.cc, sparse-chol.h, sparse-lu.cc, sparse-lu.h, sparse-qr.cc, sparse-qr.h, svd.cc, svd.h, child-list.cc, child-list.h, dir-ops.cc, dir-ops.h, file-ops.cc, file-ops.h, file-stat.cc, file-stat.h, lo-sysdep.cc, lo-sysdep.h, lo-sysinfo.cc, lo-sysinfo.h, mach-info.cc, mach-info.h, oct-env.cc, oct-env.h, oct-group.cc, oct-group.h, oct-password.cc, oct-password.h, oct-syscalls.cc, oct-syscalls.h, oct-time.cc, oct-time.h, oct-uname.cc, oct-uname.h, action-container.cc, action-container.h, base-list.h, cmd-edit.cc, cmd-edit.h, cmd-hist.cc, cmd-hist.h, f77-fcn.h, file-info.cc, file-info.h, lo-array-errwarn.cc, lo-array-errwarn.h, lo-hash.cc, lo-hash.h, lo-ieee.h, lo-regexp.cc, lo-regexp.h, lo-utils.cc, lo-utils.h, oct-base64.cc, oct-base64.h, oct-glob.cc, oct-glob.h, oct-inttypes.h, oct-mutex.cc, oct-mutex.h, oct-refcount.h, oct-shlib.cc, oct-shlib.h, oct-sparse.cc, oct-sparse.h, oct-string.h, octave-preserve-stream-state.h, pathsearch.cc, pathsearch.h, quit.cc, quit.h, unwind-prot.cc, unwind-prot.h, url-transfer.cc, url-transfer.h : Use new macros to begin/end C++ namespaces.
author Rik <rik@octave.org>
date Thu, 01 Dec 2022 14:23:45 -0800
parents 6cf02f842e74
children aac27ad79be6
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Copyright (C) 1996-2022 The Octave Project Developers
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4 //
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5 // See the file COPYRIGHT.md in the top-level directory of this
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6 // distribution or <https://octave.org/copyright/>.
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7 //
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8 // This file is part of Octave.
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9 //
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10 // Octave is free software: you can redistribute it and/or modify it
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11 // under the terms of the GNU General Public License as published by
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12 // the Free Software Foundation, either version 3 of the License, or
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13 // (at your option) any later version.
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14 //
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15 // Octave is distributed in the hope that it will be useful, but
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 // GNU General Public License for more details.
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19 //
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20 // You should have received a copy of the GNU General Public License
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21 // along with Octave; see the file COPYING. If not, see
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22 // <https://www.gnu.org/licenses/>.
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23 //
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24 ////////////////////////////////////////////////////////////////////////
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25
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26 #if defined (HAVE_CONFIG_H)
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27 # include "config.h"
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28 #endif
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29
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30 #include "defun.h"
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31 #include "error.h"
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32 #include "errwarn.h"
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33 #include "ovl.h"
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34 #include "ops.h"
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35 #include "ov-re-diag.h"
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36 #include "ov-cx-diag.h"
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37 #include "ov-flt-re-diag.h"
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38 #include "ov-flt-cx-diag.h"
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39 #include "ov-perm.h"
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40
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41 OCTAVE_BEGIN_NAMESPACE(octave)
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42
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43 DEFUN (pinv, args, ,
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44 doc: /* -*- texinfo -*-
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45 @deftypefn {} {@var{B} =} pinv (@var{A})
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46 @deftypefnx {} {@var{B} =} pinv (@var{A}, @var{tol})
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47 Return the @nospell{Moore-Penrose} pseudoinverse of @var{A}.
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48
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49 Singular values less than @var{tol} are ignored.
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50
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51 If the second argument is omitted, it is taken to be
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52
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53 @example
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54 tol = max ([rows(@var{x}), columns(@var{x})]) * norm (@var{x}) * eps
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55 @end example
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56
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57 @seealso{inv, ldivide}
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58 @end deftypefn */)
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59 {
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60 int nargin = args.length ();
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61
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62 if (nargin < 1 || nargin > 2)
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63 print_usage ();
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64
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65 octave_value arg = args(0);
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66
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67 if (! arg.isnumeric ())
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68 err_wrong_type_arg ("pinv", arg);
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69
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70 if (arg.isempty ())
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71 return ovl (Matrix ());
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72
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73 octave_value retval;
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74
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Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
75 bool isfloat = arg.is_single_type ();
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
76
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
77 if (arg.is_diag_matrix ())
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
78 {
18467
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
79 if (isfloat)
8840
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
80 {
18467
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
81 float tol = 0.0;
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
82 if (nargin == 2)
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
83 tol = args(1).float_value ();
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
84
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
85 if (tol < 0.0)
20831
35241c4b696c eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20802
diff changeset
86 error ("pinv: TOL must be greater than zero");
18467
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
87
23582
0cc2011d800e maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents: 23581
diff changeset
88 if (arg.isreal ())
31319
6cf02f842e74 Backed out changeset 24e45a79bf3c
Arun Giridhar <arungiridhar@gmail.com>
parents: 31316
diff changeset
89 retval = arg.float_diag_matrix_value ().pseudo_inverse (tol);
8840
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
90 else
31319
6cf02f842e74 Backed out changeset 24e45a79bf3c
Arun Giridhar <arungiridhar@gmail.com>
parents: 31316
diff changeset
91 retval = arg.float_complex_diag_matrix_value ().pseudo_inverse (tol);
8840
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
92 }
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
93 else
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
94 {
18467
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
95 double tol = 0.0;
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
96 if (nargin == 2)
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
97 tol = args(1).double_value ();
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
98
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
99 if (tol < 0.0)
20831
35241c4b696c eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20802
diff changeset
100 error ("pinv: TOL must be greater than zero");
18467
c5a101de2d88 Allow pinv to work on Diagonal Matrices with a tolerance (bug #41546).
Rik <rik@octave.org>
parents: 17787
diff changeset
101
23582
0cc2011d800e maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents: 23581
diff changeset
102 if (arg.isreal ())
31319
6cf02f842e74 Backed out changeset 24e45a79bf3c
Arun Giridhar <arungiridhar@gmail.com>
parents: 31316
diff changeset
103 retval = arg.diag_matrix_value ().pseudo_inverse (tol);
8840
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
104 else
31319
6cf02f842e74 Backed out changeset 24e45a79bf3c
Arun Giridhar <arungiridhar@gmail.com>
parents: 31316
diff changeset
105 retval = arg.complex_diag_matrix_value ().pseudo_inverse (tol);
8840
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
106 }
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
107 }
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
108 else if (arg.is_perm_matrix ())
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
109 {
31319
6cf02f842e74 Backed out changeset 24e45a79bf3c
Arun Giridhar <arungiridhar@gmail.com>
parents: 31316
diff changeset
110 retval = arg.perm_matrix_value ().inverse ();
8840
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
111 }
c690e3772583 support diagonal matrices in pinv
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
112 else if (isfloat)
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
113 {
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
114 float tol = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
115 if (nargin == 2)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
116 tol = args(1).float_value ();
7789
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David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
117
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
118 if (tol < 0.0)
20831
35241c4b696c eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20802
diff changeset
119 error ("pinv: TOL must be greater than zero");
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
120
23582
0cc2011d800e maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents: 23581
diff changeset
121 if (arg.isreal ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
122 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
123 FloatMatrix m = arg.float_matrix_value ();
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
124
20555
f90c8372b7ba eliminate many more simple uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
125 retval = m.pseudo_inverse (tol);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
126 }
23581
c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex.
Rik <rik@octave.org>
parents: 23577
diff changeset
127 else if (arg.iscomplex ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
128 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
129 FloatComplexMatrix m = arg.float_complex_matrix_value ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
130
20555
f90c8372b7ba eliminate many more simple uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
131 retval = m.pseudo_inverse (tol);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
132 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
133 else
21100
e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme.
Rik <rik@octave.org>
parents: 20941
diff changeset
134 err_wrong_type_arg ("pinv", arg);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
135 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
136 else
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
137 {
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
138 double tol = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
139 if (nargin == 2)
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
140 tol = args(1).double_value ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
141
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
142 if (tol < 0.0)
20831
35241c4b696c eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents: 20802
diff changeset
143 error ("pinv: TOL must be greater than zero");
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
144
23582
0cc2011d800e maint: Deprecate is_real_type and replace with isreal.
Rik <rik@octave.org>
parents: 23581
diff changeset
145 if (arg.isreal ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
146 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
147 Matrix m = arg.matrix_value ();
7789
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David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
148
20555
f90c8372b7ba eliminate many more simple uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20172
diff changeset
149 retval = m.pseudo_inverse (tol);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
150 }
23581
c3075ae020e1 maint: Deprecate is_complex_type and replace with iscomplex.
Rik <rik@octave.org>
parents: 23577
diff changeset
151 else if (arg.iscomplex ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
152 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
153 ComplexMatrix m = arg.complex_matrix_value ();
7789
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parents: 7017
diff changeset
154
20555
f90c8372b7ba eliminate many more simple uses of error_state
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diff changeset
155 retval = m.pseudo_inverse (tol);
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 9064
diff changeset
156 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7017
diff changeset
157 else
21100
e39e05d90788 Switch gripe_XXX to either err_XXX or warn_XXX naming scheme.
Rik <rik@octave.org>
parents: 20941
diff changeset
158 err_wrong_type_arg ("pinv", arg);
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
159 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
160
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
161 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
162 }
13042
ca7aaf2689c3 codesprint: 8 tests for pinv.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents: 12642
diff changeset
163
ca7aaf2689c3 codesprint: 8 tests for pinv.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents: 12642
diff changeset
164 /*
13079
9512d7272d5b codesprint: Fix tolerance for pinv test
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents: 13042
diff changeset
165 %!shared a, b, tol, hitol, d, u, x, y
25124
435645a627dd Fix random seed for pinv BIST tests (bug #53560).
Rik <rik@octave.org>
parents: 25054
diff changeset
166 %! old_state = rand ("state");
435645a627dd Fix random seed for pinv BIST tests (bug #53560).
Rik <rik@octave.org>
parents: 25054
diff changeset
167 %! restore_state = onCleanup (@() rand ("state", old_state));
435645a627dd Fix random seed for pinv BIST tests (bug #53560).
Rik <rik@octave.org>
parents: 25054
diff changeset
168 %! rand ("state", 42); # initialize generator to make behavior reproducible
17336
b81b9d079515 Use '##' for comments which stand alone on a line.
Rik <rik@octave.org>
parents: 15195
diff changeset
169 %! a = reshape (rand*[1:16], 4, 4); # Rank 2 matrix
13042
ca7aaf2689c3 codesprint: 8 tests for pinv.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents: 12642
diff changeset
170 %! b = pinv (a);
14179
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
171 %! tol = 4e-14;
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
172 %! hitol = 40*sqrt (eps);
13042
ca7aaf2689c3 codesprint: 8 tests for pinv.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents: 12642
diff changeset
173 %! d = diag ([rand, rand, hitol, hitol]);
17336
b81b9d079515 Use '##' for comments which stand alone on a line.
Rik <rik@octave.org>
parents: 15195
diff changeset
174 %! u = rand (4); # Could be singular by freak accident
13042
ca7aaf2689c3 codesprint: 8 tests for pinv.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents: 12642
diff changeset
175 %! x = inv (u)*d*u;
14179
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
176 %! y = pinv (x, sqrt (eps));
25124
435645a627dd Fix random seed for pinv BIST tests (bug #53560).
Rik <rik@octave.org>
parents: 25054
diff changeset
177
435645a627dd Fix random seed for pinv BIST tests (bug #53560).
Rik <rik@octave.org>
parents: 25054
diff changeset
178 ## Verify Penrose conditions for pseudoinverse
14179
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
179 %!assert (a*b*a, a, tol)
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
180 %!assert (b*a*b, b, tol)
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
181 %!assert ((b*a)', b*a, tol)
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
182 %!assert ((a*b)', a*b, tol)
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
183 %!assert (x*y*x, x, -hitol)
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
184 %!assert (y*x*y, y, -hitol)
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
185 %!assert ((x*y)', x*y, hitol)
a7a020cd6106 Relax tolerance for pinv tests so that it fails less than 1% of the time.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
186 %!assert ((y*x)', y*x, hitol)
18494
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
187
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
188 ## Clear shared variables
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
189 %!shared
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
190
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
191 ## Test pinv for Diagonal matrices
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
192 %!test
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
193 %! x = diag ([3 2 1 0 -0.5]);
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
194 %! y = pinv (x);
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
195 %! assert (typeinfo (y)(1:8), "diagonal");
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
196 %! assert (isa (y, "double"));
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
197 %! assert (diag (y), [1/3, 1/2, 1, 0 1/-0.5]');
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
198 %! y = pinv (x, 1);
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
199 %! assert (diag (y), [1/3 1/2 1 0 0]');
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
200 %! y = pinv (x, 2);
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
201 %! assert (diag (y), [1/3 1/2 0 0 0]');
1fa5bba16218 [mq]: pinv
Rik <rik@octave.org>
parents: 18467
diff changeset
202
30609
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30564
diff changeset
203 ## Basic test for integer inputs
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30564
diff changeset
204 %!assert (pinv (int32 (2)), 0.5)
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30564
diff changeset
205 %!assert (pinv (uint32 (2)), 0.5)
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30564
diff changeset
206 %!assert (pinv (int64 (2)), 0.5)
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30564
diff changeset
207 %!assert (pinv (uint64 (2)), 0.5)
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30564
diff changeset
208
24195
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
diff changeset
209 ## Test special case of 0 scalars and vectors
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
diff changeset
210 %!assert (pinv (0), 0)
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
diff changeset
211 %!assert (pinv ([0, 0, 0]), [0; 0; 0])
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
diff changeset
212 %!assert (pinv (single (0)), single (0))
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
diff changeset
213 %!assert (pinv (single ([0, 0, 0])), single ([0; 0; 0]))
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
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214 %!assert (pinv (complex (0,0)), 0)
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
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215 %!assert (pinv (complex ([0,0,0], [0,0,0])), [0; 0; 0])
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
diff changeset
216 %!assert (pinv (complex (single (0),0)), single (0))
d3dc76efb38b Return correct value for pinv of zero vectors and scalars (bug #51246).
Rik <rik@octave.org>
parents: 23582
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217 %!assert (pinv (complex (single ([0,0,0]), [0,0,0])), single ([0; 0; 0]))
30609
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30564
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218
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30564
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219 ## Test input validation
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30564
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220 %!error <wrong type argument> pinv ("Hello World")
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30564
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221 %!error <wrong type argument> pinv ({1})
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30564
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222 %!error <wrong type argument> pinv (true)
09012191bb0c pinv: Improve input validation (Bug #61767).
Antonius Burgers <arburgers@gmail.com>
parents: 30564
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223
13042
ca7aaf2689c3 codesprint: 8 tests for pinv.cc
Jordi Gutiérrez Hermoso <jordigh@gmail.com>
parents: 12642
diff changeset
224 */
29958
32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents: 29358
diff changeset
225
31605
e88a07dec498 maint: Use macros to begin/end C++ namespaces.
Rik <rik@octave.org>
parents: 31319
diff changeset
226 OCTAVE_END_NAMESPACE(octave)