Mercurial > octave
view libinterp/corefcn/mgorth.cc @ 21139:538b57866b90
consistently use "typename" intead of "class" in template declarations
* Object.h, QtHandlesUtils.cc, QtHandlesUtils.h, ToolBarButton.cc,
ToolBarButton.h, Cell.h, __lin_interpn__.cc, bitfcns.cc, bsxfun.cc,
cellfun.cc, data.cc, filter.cc, gcd.cc, graphics.cc, help.cc, kron.cc,
lookup.cc, ls-mat5.cc, ls-oct-text.h, lu.cc, max.cc, mgorth.cc,
oct-map.cc, oct-map.h, oct-stream.cc, oct-stream.h, octave-link.h,
pr-output.cc, profiler.h, schur.cc, sparse-xdiv.cc, sparse-xpow.cc,
sqrtm.cc, symtab.h, tril.cc, typecast.cc, variables.cc, xdiv.cc,
zfstream.h, __init_fltk__.cc, __magick_read__.cc, chol.cc, qr.cc,
ov-base-diag.cc, ov-base-diag.h, ov-base-int.cc, ov-base-int.h,
ov-base-mat.cc, ov-base-mat.h, ov-base-scalar.cc, ov-base-scalar.h,
ov-base-sparse.cc, ov-base-sparse.h, ov-base.h, ov-classdef.cc,
ov-int-traits.h, ov-java.h, ov-usr-fcn.h, ov.cc, ov.h,
op-dms-template.cc, oct-parse.in.yy, parse.h, pt-mat.cc, Array-b.cc,
Array.cc, Array.h, CDiagMatrix.h, CMatrix.h, CNDArray.h,
DiagArray2.cc, DiagArray2.h, MArray.cc, MArray.h, MDiagArray2.cc,
MDiagArray2.h, MSparse.cc, MSparse.h, MatrixType.cc, Sparse.cc,
Sparse.h, dDiagMatrix.h, dMatrix.h, dNDArray.h, fCDiagMatrix.h,
fCMatrix.h, fCNDArray.h, fDiagMatrix.h, fMatrix.h, fNDArray.h,
idx-vector.cc, idx-vector.h, intNDArray.cc, intNDArray.h, DET.h,
base-aepbal.h, base-lu.cc, base-lu.h, base-qr.cc, base-qr.h,
bsxfun-defs.cc, eigs-base.cc, lo-mappers.h, lo-specfun.cc,
lo-specfun.h, oct-convn.cc, oct-fftw.cc, oct-norm.cc,
sparse-base-chol.cc, sparse-base-chol.h, sparse-base-lu.cc,
sparse-base-lu.h, sparse-dmsolve.cc, mx-inlines.cc,
action-container.h, base-list.h, lo-traits.h, lo-utils.h,
oct-base64.h, oct-binmap.h, oct-cmplx.h, oct-inttypes.cc,
oct-inttypes.h, oct-locbuf.h, oct-refcount.h, oct-sort.cc, oct-sort.h:
Use "typename" instead of "class" in template declarations.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Sun, 24 Jan 2016 13:50:04 -0500 |
parents | e39e05d90788 |
children | fcac5dbbf9ed |
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/* Copyright (C) 2009-2015 Carlo de Falco Copyright (C) 2010 VZLU Prague 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 "oct-norm.h" #include "defun.h" #include "error.h" #include "errwarn.h" template <typename ColumnVector, typename Matrix, typename RowVector> static void do_mgorth (ColumnVector& x, const Matrix& V, RowVector& h) { octave_idx_type Vc = V.columns (); h = RowVector (Vc + 1); for (octave_idx_type j = 0; j < Vc; j++) { ColumnVector Vcj = V.column (j); h(j) = RowVector (Vcj.hermitian ()) * x; x -= h(j) * Vcj; } h(Vc) = xnorm (x); if (real (h(Vc)) > 0) x /= h(Vc); } DEFUN (mgorth, args, , "-*- texinfo -*-\n\ @deftypefn {} {[@var{y}, @var{h}] =} mgorth (@var{x}, @var{v})\n\ Orthogonalize a given column vector @var{x} with respect to a set of\n\ orthonormal vectors comprising the columns of @var{v} using the modified\n\ Gram-Schmidt method.\n\ \n\ On exit, @var{y} is a unit vector such that:\n\ \n\ @example\n\ @group\n\ norm (@var{y}) = 1\n\ @var{v}' * @var{y} = 0\n\ @var{x} = [@var{v}, @var{y}]*@var{h}'\n\ @end group\n\ @end example\n\ \n\ @end deftypefn") { if (args.length () != 2) print_usage (); octave_value arg_x = args(0); octave_value arg_v = args(1); if (arg_v.ndims () != 2 || arg_x.ndims () != 2 || arg_x.columns () != 1 || arg_v.rows () != arg_x.rows ()) error ("mgorth: V should be a matrix, and X a column vector with" " the same number of rows as V."); if (! arg_x.is_numeric_type () && ! arg_v.is_numeric_type ()) error ("mgorth: X and V must be numeric"); octave_value_list retval; bool iscomplex = (arg_x.is_complex_type () || arg_v.is_complex_type ()); if (arg_x.is_single_type () || arg_v.is_single_type ()) { if (iscomplex) { FloatComplexColumnVector x = arg_x.float_complex_column_vector_value (); FloatComplexMatrix V = arg_v.float_complex_matrix_value (); FloatComplexRowVector h; do_mgorth (x, V, h); retval = ovl (x, h); } else { FloatColumnVector x = arg_x.float_column_vector_value (); FloatMatrix V = arg_v.float_matrix_value (); FloatRowVector h; do_mgorth (x, V, h); retval = ovl (x, h); } } else { if (iscomplex) { ComplexColumnVector x = arg_x.complex_column_vector_value (); ComplexMatrix V = arg_v.complex_matrix_value (); ComplexRowVector h; do_mgorth (x, V, h); retval = ovl (x, h); } else { ColumnVector x = arg_x.column_vector_value (); Matrix V = arg_v.matrix_value (); RowVector h; do_mgorth (x, V, h); retval = ovl (x, h); } } return retval; } /* %!test %! for ii=1:100 %! assert (abs (mgorth (randn (5, 1), eye (5, 4))), [0 0 0 0 1]', eps); %! endfor %!test %! a = hilb (5); %! a(:, 1) /= norm (a(:, 1)); %! for ii = 1:5 %! a(:, ii) = mgorth (a(:, ii), a(:, 1:ii-1)); %! endfor %! assert (a' * a, eye (5), 1e10); */