Mercurial > octave
view libinterp/corefcn/hess.cc @ 21100:e39e05d90788
Switch gripe_XXX to either err_XXX or warn_XXX naming scheme.
* libinterp/corefcn/errwarn.h, libinterp/corefcn/errwarn.cc: New header and .cc
file with common errors and warnings for libinterp.
* libinterp/corefcn/module.mk: Add errwarn.h, errwarn.cc to build system.
* liboctave/util/lo-array-errwarn.h, liboctave/util/lo-array-errwarn.cc: New
header and .cc file with common errors and warnings for liboctave.
* liboctave/util/module.mk: Add lo-array-errwarn.h, lo-array-errwarn.cc to
build system.
* lo-array-gripes.h: #include "lo-array-errwarn.h" for access to class
index_exception. Remove const char *error_id_XXX prototypes.
* lo-array-gripes.cc: Remove const char *error_id_XXX initializations.
Remove index_exception method definitions.
* Cell.cc, __pchip_deriv__.cc, __qp__.cc, balance.cc, betainc.cc, cellfun.cc,
daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc, det.cc,
dirfns.cc, eig.cc, fft.cc, fft2.cc, fftn.cc, find.cc, gammainc.cc, gcd.cc,
getgrent.cc, getpwent.cc, graphics.in.h, help.cc, hess.cc, hex2num.cc,
input.cc, inv.cc, jit-typeinfo.cc, load-save.cc, lookup.cc, ls-hdf5.cc,
ls-mat-ascii.cc, ls-mat4.cc, ls-mat5.cc, ls-oct-binary.cc, ls-oct-text.cc,
lsode.cc, lu.cc, luinc.cc, max.cc, mgorth.cc, oct-hist.cc, oct-procbuf.cc,
oct-stream.cc, oct.h, pager.cc, pinv.cc, pr-output.cc, quad.cc, qz.cc, rand.cc,
rcond.cc, regexp.cc, schur.cc, sparse-xdiv.cc, sparse-xpow.cc, sparse.cc,
spparms.cc, sqrtm.cc, str2double.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc,
sylvester.cc, syscalls.cc, typecast.cc, utils.cc, variables.cc, xdiv.cc,
xnorm.cc, xpow.cc, __eigs__.cc, __glpk__.cc, __magick_read__.cc,
__osmesa_print__.cc, audiodevinfo.cc, audioread.cc, chol.cc, dmperm.cc,
fftw.cc, qr.cc, symbfact.cc, symrcm.cc, ov-base-diag.cc, ov-base-int.cc,
ov-base-mat.cc, ov-base-scalar.cc, ov-base-sparse.cc, ov-base.cc,
ov-bool-mat.cc, ov-bool-sparse.cc, ov-bool.cc, ov-builtin.cc, ov-cell.cc,
ov-ch-mat.cc, ov-class.cc, ov-complex.cc, ov-complex.h, ov-cs-list.cc,
ov-cx-diag.cc, ov-cx-mat.cc, ov-cx-sparse.cc, ov-fcn-handle.cc,
ov-fcn-inline.cc, ov-float.cc, ov-float.h, ov-flt-complex.cc, ov-flt-complex.h,
ov-flt-cx-diag.cc, ov-flt-cx-mat.cc, ov-flt-re-mat.cc, ov-int16.cc,
ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-intx.h, ov-mex-fcn.cc, ov-perm.cc,
ov-range.cc, ov-re-mat.cc, ov-re-sparse.cc, ov-scalar.cc, ov-scalar.h,
ov-str-mat.cc, ov-struct.cc, ov-type-conv.h, ov-uint16.cc, ov-uint32.cc,
ov-uint64.cc, ov-uint8.cc, ov-usr-fcn.cc, ov.cc, 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-dms-template.cc, op-double-conv.cc, op-fcdm-fcdm.cc, op-fcdm-fdm.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-float-conv.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-int-conv.cc,
op-int.h, 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-pm-pm.cc, op-pm-scm.cc, op-pm-sm.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, lex.ll, pt-assign.cc, pt-eval.cc, pt-idx.cc, pt-loop.cc, pt-mat.cc,
pt-stmt.cc, Array-util.cc, Array-util.h, Array.cc, CColVector.cc,
CDiagMatrix.cc, CMatrix.cc, CNDArray.cc, CRowVector.cc, CSparse.cc,
DiagArray2.cc, MDiagArray2.cc, MSparse.cc, PermMatrix.cc, Range.cc, Sparse.cc,
dColVector.cc, dDiagMatrix.cc, dMatrix.cc, dNDArray.cc, dRowVector.cc,
dSparse.cc, fCColVector.cc, fCDiagMatrix.cc, fCMatrix.cc, fCNDArray.cc,
fCRowVector.cc, fColVector.cc, fDiagMatrix.cc, fMatrix.cc, fNDArray.cc,
fRowVector.cc, idx-vector.cc, CmplxGEPBAL.cc, dbleGEPBAL.cc, fCmplxGEPBAL.cc,
floatGEPBAL.cc, Sparse-diag-op-defs.h, Sparse-op-defs.h, Sparse-perm-op-defs.h,
mx-inlines.cc, mx-op-defs.h, oct-binmap.h:
Replace 'include "gripes.h"' with 'include "errwarn.h". Change all gripe_XXX
to err_XXX or warn_XXX or errwarn_XXX.
author | Rik <rik@octave.org> |
---|---|
date | Mon, 18 Jan 2016 18:28:06 -0800 |
parents | 6176560b03d9 |
children | 3d0d84305600 |
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/* Copyright (C) 1996-2015 John W. Eaton This file is part of Octave. Octave is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. Octave is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with Octave; see the file COPYING. If not, see <http://www.gnu.org/licenses/>. */ #ifdef HAVE_CONFIG_H #include <config.h> #endif #include "CmplxHESS.h" #include "dbleHESS.h" #include "fCmplxHESS.h" #include "floatHESS.h" #include "defun.h" #include "error.h" #include "errwarn.h" #include "ovl.h" #include "utils.h" DEFUN (hess, args, nargout, "-*- texinfo -*-\n\ @deftypefn {} {@var{H} =} hess (@var{A})\n\ @deftypefnx {} {[@var{P}, @var{H}] =} hess (@var{A})\n\ @cindex Hessenberg decomposition\n\ Compute the Hessenberg decomposition of the matrix @var{A}.\n\ \n\ The Hessenberg decomposition is\n\ @tex\n\ $$\n\ A = PHP^T\n\ $$\n\ where $P$ is a square unitary matrix ($P^TP = I$), and $H$\n\ is upper Hessenberg ($H_{i,j} = 0, \\forall i > j+1$).\n\ @end tex\n\ @ifnottex\n\ @code{@var{P} * @var{H} * @var{P}' = @var{A}} where @var{P} is a square\n\ unitary matrix (@code{@var{P}' * @var{P} = I}, using complex-conjugate\n\ transposition) and @var{H} is upper Hessenberg\n\ (@code{@var{H}(i, j) = 0 forall i > j+1)}.\n\ @end ifnottex\n\ \n\ The Hessenberg decomposition is usually used as the first step in an\n\ eigenvalue computation, but has other applications as well\n\ (see @nospell{Golub, Nash, and Van Loan},\n\ IEEE Transactions on Automatic Control, 1979).\n\ @seealso{eig, chol, lu, qr, qz, schur, svd}\n\ @end deftypefn") { if (args.length () != 1) print_usage (); octave_value arg = args(0); octave_idx_type nr = arg.rows (); octave_idx_type nc = arg.columns (); int arg_is_empty = empty_arg ("hess", nr, nc); if (arg_is_empty < 0) return ovl (); else if (arg_is_empty > 0) return octave_value_list (2, Matrix ()); if (nr != nc) err_square_matrix_required ("hess"); octave_value_list retval; if (arg.is_single_type ()) { if (arg.is_real_type ()) { FloatMatrix tmp = arg.float_matrix_value (); FloatHESS result (tmp); if (nargout <= 1) retval = ovl (result.hess_matrix ()); else retval = ovl (result.unitary_hess_matrix (), result.hess_matrix ()); } else if (arg.is_complex_type ()) { FloatComplexMatrix ctmp = arg.float_complex_matrix_value (); FloatComplexHESS result (ctmp); if (nargout <= 1) retval = ovl (result.hess_matrix ()); else retval = ovl (result.unitary_hess_matrix (), result.hess_matrix ()); } } else { if (arg.is_real_type ()) { Matrix tmp = arg.matrix_value (); HESS result (tmp); if (nargout <= 1) retval = ovl (result.hess_matrix ()); else retval = ovl (result.unitary_hess_matrix (), result.hess_matrix ()); } else if (arg.is_complex_type ()) { ComplexMatrix ctmp = arg.complex_matrix_value (); ComplexHESS result (ctmp); if (nargout <= 1) retval = ovl (result.hess_matrix ()); else retval = ovl (result.unitary_hess_matrix (), result.hess_matrix ()); } else { err_wrong_type_arg ("hess", arg); } } return retval; } /* %!test %! a = [1, 2, 3; 5, 4, 6; 8, 7, 9]; %! [p, h] = hess (a); %! assert (p * h * p', a, sqrt (eps)); %!test %! a = single ([1, 2, 3; 5, 4, 6; 8, 7, 9]); %! [p, h] = hess (a); %! assert (p * h * p', a, sqrt (eps ("single"))); %!error hess () %!error hess ([1, 2; 3, 4], 2) %!error <argument must be a square matrix> hess ([1, 2; 3, 4; 5, 6]) */