Mercurial > octave
annotate libinterp/corefcn/det.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 |
rev | line source |
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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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26 #if defined (HAVE_CONFIG_H) |
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27 # include "config.h" |
2928 | 28 #endif |
29 | |
8335 | 30 #include "DET.h" |
2928 | 31 |
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32 #include "defun.h" |
2928 | 33 #include "error.h" |
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34 #include "errwarn.h" |
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35 #include "ovl.h" |
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36 #include "ops.h" |
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38 #include "ov-re-mat.h" |
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39 #include "ov-cx-mat.h" |
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40 #include "ov-flt-re-mat.h" |
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41 #include "ov-flt-cx-mat.h" |
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42 #include "ov-re-diag.h" |
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43 #include "ov-cx-diag.h" |
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44 #include "ov-flt-re-diag.h" |
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45 #include "ov-flt-cx-diag.h" |
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46 #include "ov-perm.h" |
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47 |
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48 OCTAVE_BEGIN_NAMESPACE(octave) |
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49 |
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50 #define MAYBE_CAST(VAR, CLASS) \ |
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51 const CLASS *VAR = (arg.type_id () == CLASS::static_type_id () \ |
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52 ? dynamic_cast<const CLASS *> (&arg.get_rep ()) \ |
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53 : nullptr) |
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54 |
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55 DEFUN (det, args, nargout, |
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56 doc: /* -*- texinfo -*- |
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57 @deftypefn {} {@var{d} =} det (@var{A}) |
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58 @deftypefnx {} {[@var{d}, @var{rcond}] =} det (@var{A}) |
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59 Compute the determinant of @var{A}. |
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60 |
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61 Return an estimate of the reciprocal condition number if requested. |
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62 |
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63 Programming Notes: Routines from @sc{lapack} are used for full matrices and |
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64 code from @sc{umfpack} is used for sparse matrices. |
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65 |
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66 The determinant should not be used to check a matrix for singularity. |
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67 For that, use any of the condition number functions: @code{cond}, |
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68 @code{condest}, @code{rcond}. |
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69 @seealso{cond, condest, rcond} |
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70 @end deftypefn */) |
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72 if (args.length () != 1) |
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73 print_usage (); |
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75 octave_value arg = args(0); | |
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76 |
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77 if (arg.isempty ()) |
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78 return ovl (1.0); |
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80 if (arg.rows () != arg.columns ()) |
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81 err_square_matrix_required ("det", "A"); |
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84 | |
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85 bool isfloat = arg.is_single_type (); |
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86 |
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87 if (arg.is_diag_matrix ()) |
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88 { |
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90 retval.resize (1); | |
91 | |
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92 if (arg.iscomplex ()) |
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93 { |
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94 if (isfloat) |
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95 { |
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96 retval(0) = arg.float_complex_diag_matrix_value () |
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97 .determinant ().value (); |
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98 if (nargout > 1) |
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99 retval(1) = arg.float_complex_diag_matrix_value ().rcond (); |
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100 } |
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101 else |
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102 { |
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103 retval(0) = arg.complex_diag_matrix_value () |
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104 .determinant ().value (); |
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105 if (nargout > 1) |
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106 retval(1) = arg.complex_diag_matrix_value ().rcond (); |
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107 } |
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108 } |
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109 else |
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110 { |
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111 if (isfloat) |
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112 { |
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113 retval(0) = arg.float_diag_matrix_value () |
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114 .determinant ().value (); |
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115 if (nargout > 1) |
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116 retval(1) = arg.float_diag_matrix_value ().rcond (); |
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117 } |
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118 else |
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119 { |
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120 retval(0) = arg.diag_matrix_value ().determinant ().value (); |
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121 if (nargout > 1) |
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122 retval(1) = arg.diag_matrix_value ().rcond (); |
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123 } |
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124 } |
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125 } |
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126 else if (arg.is_perm_matrix ()) |
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127 { |
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129 retval.resize (1); | |
130 | |
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131 retval(0) = static_cast<double> (arg.perm_matrix_value ().determinant ()); |
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132 if (nargout > 1) |
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133 retval(1) = 1.0; |
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134 } |
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135 else if (arg.is_single_type ()) |
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137 if (arg.isreal ()) |
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138 { |
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139 octave_idx_type info; |
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140 float rcond = 0.0; |
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141 // Always compute rcond, so we can detect singular matrices. |
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142 FloatMatrix m = arg.float_matrix_value (); |
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143 |
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144 MAYBE_CAST (rep, octave_float_matrix); |
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145 MatrixType mtype = (rep ? rep -> matrix_type () : MatrixType ()); |
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146 FloatDET det = m.determinant (mtype, info, rcond); |
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147 retval(0) = (info == -1 ? 0.0f : det.value ()); |
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148 retval(1) = rcond; |
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149 if (rep) |
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150 rep->matrix_type (mtype); |
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151 } |
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152 else if (arg.iscomplex ()) |
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153 { |
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154 octave_idx_type info; |
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155 float rcond = 0.0; |
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156 // Always compute rcond, so we can detect singular matrices. |
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157 FloatComplexMatrix m = arg.float_complex_matrix_value (); |
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158 |
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159 MAYBE_CAST (rep, octave_float_complex_matrix); |
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160 MatrixType mtype = (rep ? rep -> matrix_type () : MatrixType ()); |
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161 FloatComplexDET det = m.determinant (mtype, info, rcond); |
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162 retval(0) = (info == -1 ? FloatComplex (0.0) : det.value ()); |
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163 retval(1) = rcond; |
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164 if (rep) |
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165 rep->matrix_type (mtype); |
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166 } |
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168 else | |
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169 { |
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170 if (arg.isreal ()) |
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171 { |
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172 octave_idx_type info; |
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173 double rcond = 0.0; |
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174 // Always compute rcond, so we can detect singular matrices. |
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175 if (arg.issparse ()) |
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176 { |
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177 SparseMatrix m = arg.sparse_matrix_value (); |
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178 |
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179 DET det = m.determinant (info, rcond); |
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180 retval(0) = (info == -1 ? 0.0 : det.value ()); |
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181 retval(1) = rcond; |
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182 } |
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183 else |
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184 { |
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185 Matrix m = arg.matrix_value (); |
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186 |
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187 MAYBE_CAST (rep, octave_matrix); |
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188 MatrixType mtype = (rep ? rep -> matrix_type () |
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189 : MatrixType ()); |
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190 DET det = m.determinant (mtype, info, rcond); |
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191 retval(0) = (info == -1 ? 0.0 : det.value ()); |
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192 retval(1) = rcond; |
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193 if (rep) |
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194 rep->matrix_type (mtype); |
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195 } |
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196 } |
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197 else if (arg.iscomplex ()) |
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198 { |
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199 octave_idx_type info; |
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200 double rcond = 0.0; |
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201 // Always compute rcond, so we can detect singular matrices. |
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202 if (arg.issparse ()) |
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203 { |
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204 SparseComplexMatrix m = arg.sparse_complex_matrix_value (); |
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205 |
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206 ComplexDET det = m.determinant (info, rcond); |
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207 retval(0) = (info == -1 ? Complex (0.0) : det.value ()); |
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208 retval(1) = rcond; |
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209 } |
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210 else |
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211 { |
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212 ComplexMatrix m = arg.complex_matrix_value (); |
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213 |
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214 MAYBE_CAST (rep, octave_complex_matrix); |
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215 MatrixType mtype = (rep ? rep -> matrix_type () |
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216 : MatrixType ()); |
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217 ComplexDET det = m.determinant (mtype, info, rcond); |
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218 retval(0) = (info == -1 ? Complex (0.0) : det.value ()); |
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219 retval(1) = rcond; |
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220 if (rep) |
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221 rep->matrix_type (mtype); |
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222 } |
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223 } |
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224 else |
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225 err_wrong_type_arg ("det", arg); |
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226 } |
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229 } | |
230 | |
231 /* | |
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232 %!assert (det ([1, 2; 3, 4]), -2, 10*eps) |
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233 %!assert (det (single ([1, 2; 3, 4])), single (-2), 10*eps ("single")) |
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234 %!assert (det (eye (2000)), 1) |
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235 %!error det () |
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236 %!error det (1, 2) |
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237 %!error <must be a square matrix> det ([1, 2; 3, 4; 5, 6]) |
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238 */ |
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239 |
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240 OCTAVE_END_NAMESPACE(octave) |