Mercurial > octave
annotate libinterp/corefcn/det.cc @ 31607:aac27ad79be6 stable
maint: Re-indent code after switch to using namespace macros.
* build-env.h, build-env.in.cc, Cell.h, __betainc__.cc, __eigs__.cc,
__ftp__.cc, __ichol__.cc, __ilu__.cc, __isprimelarge__.cc, __magick_read__.cc,
__pchip_deriv__.cc, amd.cc, base-text-renderer.cc, base-text-renderer.h,
besselj.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.h, call-stack.cc,
call-stack.h, ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, dasrt.cc, data.cc,
debug.cc, defaults.cc, defaults.h, det.cc, display.cc, display.h, dlmread.cc,
dynamic-ld.cc, dynamic-ld.h, 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,
file-io.cc, filter.cc, find.cc, ft-text-renderer.cc, ft-text-renderer.h,
gcd.cc, gl-render.cc, gl-render.h, gl2ps-print.cc, gl2ps-print.h,
graphics-toolkit.cc, graphics-toolkit.h, graphics.cc, gsvd.cc, gtk-manager.cc,
gtk-manager.h, help.cc, help.h, 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, latex-text-renderer.cc,
latex-text-renderer.h, load-path.cc, load-path.h, load-save.cc, load-save.h,
lookup.cc, ls-hdf5.cc, ls-mat4.cc, ls-mat5.cc, lsode.cc, lu.cc, mappers.cc,
matrix_type.cc, max.cc, mex.cc, mexproto.h, mxarray.h, mxtypes.in.h,
oct-errno.in.cc, oct-hdf5-types.cc, oct-hist.cc, oct-hist.h, oct-map.cc,
oct-map.h, oct-opengl.h, oct-prcstrm.h, oct-process.cc, oct-process.h,
oct-stdstrm.h, oct-stream.cc, oct-stream.h, oct-strstrm.h,
octave-default-image.h, ordqz.cc, ordschur.cc, pager.cc, pager.h, pinv.cc,
pow2.cc, pr-output.cc, psi.cc, qr.cc, quadcc.cc, rand.cc, regexp.cc,
settings.cc, settings.h, sighandlers.cc, sighandlers.h, sparse-xpow.cc,
sqrtm.cc, stack-frame.cc, stack-frame.h, stream-euler.cc, strfns.cc, svd.cc,
syminfo.cc, syminfo.h, symrcm.cc, symrec.cc, symrec.h, symscope.cc, symscope.h,
symtab.cc, symtab.h, sysdep.cc, sysdep.h, text-engine.cc, text-engine.h,
text-renderer.cc, text-renderer.h, time.cc, toplev.cc, typecast.cc,
url-handle-manager.cc, url-handle-manager.h, urlwrite.cc, utils.cc, utils.h,
variables.cc, variables.h, xdiv.cc, __delaunayn__.cc, __init_fltk__.cc,
__init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audioread.cc, convhulln.cc,
gzip.cc, 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-diag.cc, ov-base-int.cc, ov-base-mat.cc,
ov-base-mat.h, ov-base-scalar.cc, ov-base.cc, ov-base.h, ov-bool-mat.cc,
ov-bool-mat.h, ov-bool-sparse.cc, ov-bool.cc, ov-builtin.h, ov-cell.cc,
ov-ch-mat.cc, ov-class.cc, ov-class.h, ov-classdef.cc, ov-classdef.h,
ov-complex.cc, ov-cx-diag.cc, ov-cx-mat.cc, ov-cx-sparse.cc, ov-dld-fcn.cc,
ov-dld-fcn.h, ov-fcn-handle.cc, ov-fcn-handle.h, ov-fcn.h, ov-float.cc,
ov-flt-complex.cc, ov-flt-cx-diag.cc, ov-flt-cx-mat.cc, ov-flt-re-diag.cc,
ov-flt-re-mat.cc, ov-flt-re-mat.h, ov-intx.h, ov-java.cc, ov-lazy-idx.cc,
ov-legacy-range.cc, ov-magic-int.cc, ov-mex-fcn.cc, ov-mex-fcn.h,
ov-null-mat.cc, ov-perm.cc, ov-range.cc, ov-re-diag.cc, ov-re-mat.cc,
ov-re-mat.h, ov-re-sparse.cc, ov-scalar.cc, ov-str-mat.cc, ov-struct.cc,
ov-typeinfo.cc, ov-typeinfo.h, ov-usr-fcn.cc, ov-usr-fcn.h, ov.cc, ov.h, ovl.h,
octave.cc, octave.h, op-b-sbm.cc, op-bm-sbm.cc, op-cs-scm.cc, op-fm-fcm.cc,
op-fs-fcm.cc, op-s-scm.cc, op-scm-cs.cc, op-scm-s.cc, op-sm-cs.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, oct-lvalue.cc, oct-lvalue.h,
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-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:
Re-indent code after switch to using namespace macros.
author | Rik <rik@octave.org> |
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date | Thu, 01 Dec 2022 18:02:15 -0800 |
parents | e88a07dec498 |
children | 597f3ee61a48 |
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"); |
2928 | 82 |
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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 } |
2928 | 167 } |
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) |