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annotate libinterp/corefcn/det.cc @ 22407:34ce5be04942

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maint: Style check C++ code in libinterp/. * build-env.h, build-env.in.cc, builtins.h, Cell.cc, Cell.h, __contourc__.cc, __dispatch__.cc, __dsearchn__.cc, __ilu__.cc, __lin_interpn__.cc, __luinc__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, balance.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, cdisplay.c, cdisplay.h, cellfun.cc, coct-hdf5-types.c, comment-list.cc, comment-list.h, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, data.h, debug.cc, debug.h, defaults.cc, defaults.in.h, defun-dld.h, defun-int.h, defun.h, det.cc, dirfns.cc, dirfns.h, display.cc, display.h, dlmread.cc, dynamic-ld.cc, dynamic-ld.h, eig.cc, error.cc, error.h, errwarn.h, event-queue.cc, event-queue.h, fft.cc, fft2.cc, fftn.cc, file-io.cc, file-io.h, filter.cc, find.cc, ft-text-renderer.cc, ft-text-renderer.h, gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, givens.cc, gl-render.cc, gl-render.h, gl2ps-print.cc, gl2ps-print.h, graphics.cc, graphics.in.h, gripes.h, gsvd.cc, hash.cc, help.cc, help.h, hess.cc, hex2num.cc, hook-fcn.cc, hook-fcn.h, input.cc, input.h, interpreter.cc, interpreter.h, inv.cc, jit-ir.cc, jit-ir.h, jit-typeinfo.cc, jit-typeinfo.h, jit-util.cc, jit-util.h, kron.cc, load-path.cc, load-path.h, load-save.cc, load-save.h, lookup.cc, ls-ascii-helper.cc, ls-ascii-helper.h, ls-hdf5.cc, ls-hdf5.h, ls-mat-ascii.cc, ls-mat-ascii.h, ls-mat4.cc, ls-mat4.h, ls-mat5.h, ls-oct-binary.cc, ls-oct-binary.h, ls-oct-text.cc, ls-oct-text.h, ls-utils.cc, ls-utils.h, lsode.cc, lu.cc, matrix_type.cc, max.cc, mex.cc, mex.h, mexproto.h, mgorth.cc, mxarray.in.h, nproc.cc, oct-errno.h, oct-errno.in.cc, oct-fstrm.cc, oct-fstrm.h, oct-handle.h, oct-hdf5-types.cc, oct-hdf5-types.h, oct-hdf5.h, oct-hist.cc, oct-hist.h, oct-iostrm.cc, oct-iostrm.h, oct-lvalue.cc, oct-lvalue.h, oct-map.h, oct-obj.h, oct-opengl.h, oct-prcstrm.cc, oct-prcstrm.h, oct-procbuf.cc, oct-procbuf.h, oct-stdstrm.h, oct-stream.cc, oct-stream.h, oct-strstrm.cc, oct-strstrm.h, oct.h, octave-default-image.h, octave-link.h, octave-preserve-stream-state.h, ordschur.cc, pager.cc, pager.h, pinv.cc, pr-output.cc, pr-output.h, procstream.cc, procstream.h, profiler.h, psi.cc, pt-jit.cc, pt-jit.h, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, sighandlers.cc, sighandlers.h, sparse-xdiv.cc, sparse-xdiv.h, sparse-xpow.cc, sparse-xpow.h, sparse.cc, spparms.cc, sqrtm.cc, str2double.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symtab.cc, symtab.h, syscalls.cc, sysdep.cc, sysdep.h, text-renderer.cc, text-renderer.h, time.cc, toplev.cc, toplev.h, tril.cc, tsearch.cc, txt-eng.cc, txt-eng.h, typecast.cc, urlwrite.cc, utils.cc, utils.h, variables.cc, variables.h, workspace-element.h, xdiv.cc, xdiv.h, xnorm.cc, xnorm.h, xpow.cc, xpow.h, zfstream.cc, zfstream.h, deprecated-config.h, __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, gzip.cc, oct-qhull.h, qr.cc, symbfact.cc, symrcm.cc, liboctinterp-build-info.h, liboctinterp-build-info.in.cc, ov-base-diag.h, ov-base-int.cc, ov-base-int.h, ov-base-mat.cc, ov-base-mat.h, ov-base-scalar.h, ov-base-sparse.cc, ov-base-sparse.h, ov-base.cc, ov-base.h, ov-bool-mat.cc, ov-bool-mat.h, ov-bool-sparse.cc, ov-bool-sparse.h, ov-bool.cc, ov-bool.h, ov-builtin.cc, ov-builtin.h, ov-cell.cc, ov-cell.h, ov-ch-mat.cc, ov-ch-mat.h, ov-class.cc, ov-class.h, ov-classdef.cc, ov-classdef.h, ov-colon.cc, ov-colon.h, ov-complex.cc, ov-complex.h, ov-cs-list.h, ov-cx-diag.cc, ov-cx-diag.h, ov-cx-mat.cc, ov-cx-mat.h, ov-cx-sparse.cc, ov-cx-sparse.h, ov-dld-fcn.cc, ov-dld-fcn.h, ov-fcn-handle.cc, ov-fcn-handle.h, ov-fcn-inline.cc, ov-fcn-inline.h, ov-fcn.cc, ov-fcn.h, ov-float.cc, ov-float.h, ov-flt-complex.cc, ov-flt-complex.h, ov-flt-cx-diag.cc, ov-flt-cx-diag.h, ov-flt-cx-mat.cc, ov-flt-cx-mat.h, ov-flt-re-diag.cc, ov-flt-re-diag.h, ov-flt-re-mat.cc, ov-flt-re-mat.h, ov-int-traits.h, ov-int16.cc, ov-int16.h, ov-int32.cc, ov-int32.h, ov-int64.cc, ov-int64.h, ov-int8.cc, ov-int8.h, ov-intx.h, ov-java.cc, ov-java.h, ov-lazy-idx.cc, ov-lazy-idx.h, ov-mex-fcn.cc, ov-mex-fcn.h, ov-null-mat.cc, ov-null-mat.h, ov-oncleanup.cc, ov-oncleanup.h, ov-perm.cc, ov-perm.h, ov-range.cc, ov-range.h, ov-re-diag.cc, ov-re-diag.h, ov-re-mat.cc, ov-re-mat.h, ov-re-sparse.cc, ov-re-sparse.h, ov-scalar.cc, ov-scalar.h, ov-str-mat.cc, ov-str-mat.h, ov-struct.cc, ov-struct.h, ov-typeinfo.cc, ov-typeinfo.h, ov-uint16.cc, ov-uint16.h, ov-uint32.cc, ov-uint32.h, ov-uint64.cc, ov-uint64.h, ov-uint8.cc, ov-uint8.h, ov-usr-fcn.cc, ov-usr-fcn.h, ov.h, ovl.cc, ovl.h, octave.cc, octave.h, 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-pm.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-fcm-pm.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-fm-pm.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-int.h, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-pm.cc, op-m-s.cc, op-m-scm.cc, op-m-sm.cc, op-pm-cm.cc, op-pm-fcm.cc, op-pm-fm.cc, op-pm-m.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, options-usage.h, lex.h, parse.h, pt-all.h, pt-arg-list.cc, pt-arg-list.h, 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.cc, 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-funcall.cc, pt-funcall.h, pt-id.cc, pt-id.h, pt-idx.cc, pt-idx.h, pt-jump.cc, 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-stmt.cc, pt-stmt.h, pt-unop.cc, pt-unop.h, pt-walk.h, pt.cc, pt.h, token.cc, token.h, Array-jit.cc, Array-tc.cc, version.cc, version.in.h: Style check C++ code in libinterp/
author Rik <rik@octave.org>
date Tue, 30 Aug 2016 21:46:47 -0700
parents 0c0de2205d38
children 3a2b891d0b33 e9a0469dedd9
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1 /*
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2
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3 Copyright (C) 1996-2016 John W. Eaton
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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22
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23 #if defined (HAVE_CONFIG_H)
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24 # include "config.h"
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25 #endif
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26
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27 #include "DET.h"
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29 #include "defun.h"
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30 #include "error.h"
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31 #include "errwarn.h"
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32 #include "ovl.h"
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33 #include "ops.h"
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34
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35 #include "ov-re-mat.h"
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36 #include "ov-cx-mat.h"
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37 #include "ov-flt-re-mat.h"
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38 #include "ov-flt-cx-mat.h"
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39 #include "ov-re-diag.h"
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40 #include "ov-cx-diag.h"
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41 #include "ov-flt-re-diag.h"
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42 #include "ov-flt-cx-diag.h"
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43 #include "ov-perm.h"
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44
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45 #define MAYBE_CAST(VAR, CLASS) \
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46 const CLASS *VAR = (arg.type_id () == CLASS::static_type_id () \
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47 ? dynamic_cast<const CLASS *> (&arg.get_rep ()) \
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48 : 0)
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49
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50 DEFUN (det, args, nargout,
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51 doc: /* -*- texinfo -*-
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52 @deftypefn {} {} det (@var{A})
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53 @deftypefnx {} {[@var{d}, @var{rcond}] =} det (@var{A})
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54 Compute the determinant of @var{A}.
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55
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56 Return an estimate of the reciprocal condition number if requested.
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57
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58 Programming Notes: Routines from @sc{lapack} are used for full matrices and
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59 code from @sc{umfpack} is used for sparse matrices.
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60
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61 The determinant should not be used to check a matrix for singularity.
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62 For that, use any of the condition number functions: @code{cond},
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63 @code{condest}, @code{rcond}.
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64 @seealso{cond, condest, rcond}
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65 @end deftypefn */)
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66 {
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67 if (args.length () != 1)
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68 print_usage ();
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70 octave_value arg = args(0);
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72 if (arg.is_empty ())
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73 return ovl (1.0);
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75 if (arg.rows () != arg.columns ())
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76 err_square_matrix_required ("det", "A");
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77
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78 octave_value_list retval (2);
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79
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80 bool isfloat = arg.is_single_type ();
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81
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82 if (arg.is_diag_matrix ())
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83 {
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84 if (nargout <= 1)
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85 retval.resize (1);
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86
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87 if (arg.is_complex_type ())
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88 {
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89 if (isfloat)
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90 {
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91 retval(0) = arg.float_complex_diag_matrix_value ()
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92 .determinant ().value ();
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93 if (nargout > 1)
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94 retval(1) = arg.float_complex_diag_matrix_value ().rcond ();
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95 }
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96 else
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97 {
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98 retval(0) = arg.complex_diag_matrix_value ()
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99 .determinant ().value ();
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100 if (nargout > 1)
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101 retval(1) = arg.complex_diag_matrix_value ().rcond ();
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102 }
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103 }
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104 else
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105 {
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106 if (isfloat)
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107 {
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108 retval(0) = arg.float_diag_matrix_value ()
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109 .determinant ().value ();
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110 if (nargout > 1)
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111 retval(1) = arg.float_diag_matrix_value ().rcond ();
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112 }
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113 else
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114 {
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115 retval(0) = arg.diag_matrix_value ().determinant ().value ();
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116 if (nargout > 1)
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117 retval(1) = arg.diag_matrix_value ().rcond ();
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118 }
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119 }
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120 }
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121 else if (arg.is_perm_matrix ())
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122 {
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123 if (nargout <= 1)
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124 retval.resize (1);
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125
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126 retval(0) = static_cast<double> (arg.perm_matrix_value ().determinant ());
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127 if (nargout > 1)
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128 retval(1) = 1.0;
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129 }
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130 else if (arg.is_single_type ())
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131 {
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132 if (arg.is_real_type ())
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133 {
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134 octave_idx_type info;
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135 float rcond = 0.0;
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136 // Always compute rcond, so we can detect singular matrices.
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137 FloatMatrix m = arg.float_matrix_value ();
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138
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139 MAYBE_CAST (rep, octave_float_matrix);
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140 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
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141 FloatDET det = m.determinant (mtype, info, rcond);
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142 retval(0) = info == -1 ? 0.0f : det.value ();
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143 retval(1) = rcond;
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144 if (rep)
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145 rep->matrix_type (mtype);
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146 }
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147 else if (arg.is_complex_type ())
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148 {
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149 octave_idx_type info;
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150 float rcond = 0.0;
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151 // Always compute rcond, so we can detect singular matrices.
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152 FloatComplexMatrix m = arg.float_complex_matrix_value ();
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153
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154 MAYBE_CAST (rep, octave_float_complex_matrix);
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155 MatrixType mtype = rep ? rep -> matrix_type () : MatrixType ();
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156 FloatComplexDET det = m.determinant (mtype, info, rcond);
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157 retval(0) = info == -1 ? FloatComplex (0.0) : det.value ();
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158 retval(1) = rcond;
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159 if (rep)
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160 rep->matrix_type (mtype);
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161 }
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162 }
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163 else
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164 {
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165 if (arg.is_real_type ())
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166 {
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167 octave_idx_type info;
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168 double rcond = 0.0;
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169 // Always compute rcond, so we can detect singular matrices.
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170 if (arg.is_sparse_type ())
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171 {
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172 SparseMatrix m = arg.sparse_matrix_value ();
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173
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174 DET det = m.determinant (info, rcond);
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175 retval(0) = info == -1 ? 0.0 : det.value ();
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176 retval(1) = rcond;
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177 }
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178 else
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179 {
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180 Matrix m = arg.matrix_value ();
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181
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182 MAYBE_CAST (rep, octave_matrix);
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183 MatrixType mtype = rep ? rep -> matrix_type ()
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184 : MatrixType ();
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185 DET det = m.determinant (mtype, info, rcond);
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186 retval(0) = info == -1 ? 0.0 : det.value ();
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187 retval(1) = rcond;
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188 if (rep)
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189 rep->matrix_type (mtype);
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190 }
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191 }
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192 else if (arg.is_complex_type ())
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193 {
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194 octave_idx_type info;
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195 double rcond = 0.0;
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196 // Always compute rcond, so we can detect singular matrices.
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197 if (arg.is_sparse_type ())
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198 {
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199 SparseComplexMatrix m = arg.sparse_complex_matrix_value ();
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200
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201 ComplexDET det = m.determinant (info, rcond);
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202 retval(0) = info == -1 ? Complex (0.0) : det.value ();
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203 retval(1) = rcond;
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204 }
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205 else
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206 {
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207 ComplexMatrix m = arg.complex_matrix_value ();
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208
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diff changeset
209 MAYBE_CAST (rep, octave_complex_matrix);
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diff changeset
210 MatrixType mtype = rep ? rep -> matrix_type ()
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211 : MatrixType ();
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212 ComplexDET det = m.determinant (mtype, info, rcond);
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diff changeset
213 retval(0) = info == -1 ? Complex (0.0) : det.value ();
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214 retval(1) = rcond;
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diff changeset
215 if (rep)
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216 rep->matrix_type (mtype);
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217 }
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218 }
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219 else
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220 err_wrong_type_arg ("det", arg);
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221 }
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222
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223 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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224 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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225
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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226 /*
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227 %!assert (det ([1, 2; 3, 4]), -2, 10*eps)
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228 %!assert (det (single ([1, 2; 3, 4])), single (-2), 10*eps ("single"))
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229 %!error det ()
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230 %!error det (1, 2)
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231 %!error <must be a square matrix> det ([1, 2; 3, 4; 5, 6])
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232 */
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Rik <rik@octave.org>
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233