Mercurial > hg > octave-nkf

annotate src/DLD-FUNCTIONS/mgorth.cc @ 14846:460a3c6d8bf1

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maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists. Example: func() => func () * dynamic.txi, func.txi, oop.txi, var.txi, embedded.cc, fortdemo.cc, funcdemo.cc, paramdemo.cc, stringdemo.cc, unwinddemo.cc, Array.cc, Array.h, CColVector.cc, CDiagMatrix.h, CMatrix.cc, CNDArray.cc, CRowVector.cc, CSparse.cc, CmplxGEPBAL.cc, EIG.cc, MSparse.cc, MatrixType.cc, Sparse-op-defs.h, Sparse-perm-op-defs.h, Sparse.cc, Sparse.h, SparseCmplxCHOL.cc, SparseCmplxCHOL.h, SparseCmplxLU.cc, SparseCmplxQR.cc, SparseCmplxQR.h, SparseQR.cc, SparseQR.h, SparsedbleCHOL.cc, SparsedbleCHOL.h, SparsedbleLU.cc, SparsedbleLU.h, base-lu.cc, cmd-hist.cc, dColVector.cc, dDiagMatrix.h, dMatrix.cc, dNDArray.cc, dRowVector.cc, dSparse.cc, dbleCHOL.cc, dbleGEPBAL.cc, dim-vector.cc, eigs-base.cc, f2c-main.c, fCColVector.cc, fCDiagMatrix.h, fCMatrix.cc, fCNDArray.cc, fCRowVector.cc, fCmplxGEPBAL.cc, fColVector.cc, fDiagMatrix.h, fEIG.cc, fMatrix.cc, fNDArray.cc, fRowVector.cc, file-ops.cc, file-stat.cc, floatCHOL.cc, floatGEPBAL.cc, idx-vector.h, lo-specfun.cc, lo-sysdep.cc, mx-inlines.cc, oct-binmap.h, oct-convn.cc, oct-md5.cc, oct-mem.h, oct-rand.cc, oct-syscalls.cc, randgamma.c, randmtzig.c, sparse-base-chol.cc, sparse-base-chol.h, sparse-base-lu.cc, sparse-dmsolve.cc, tempname.c, curl.m, divergence.m, randi.m, dlmwrite.m, edit.m, getappdata.m, what.m, getarchdir.m, install.m, installed_packages.m, repackage.m, unload_packages.m, colorbar.m, figure.m, isosurface.m, legend.m, loglog.m, plot.m, plot3.m, plotyy.m, polar.m, __errplot__.m, __ghostscript__.m, __marching_cube__.m, __plt__.m, __scatter__.m, semilogx.m, semilogy.m, trimesh.m, trisurf.m, demo.m, test.m, datetick.m, __delaunayn__.cc, __dsearchn__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc, __lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, balance.cc, bsxfun.cc, ccolamd.cc, cellfun.cc, chol.cc, daspk.cc, dasrt.cc, dassl.cc, dmperm.cc, eig.cc, eigs.cc, fftw.cc, filter.cc, find.cc, kron.cc, lookup.cc, lsode.cc, matrix_type.cc, md5sum.cc, mgorth.cc, qr.cc, quad.cc, rand.cc, regexp.cc, symbfact.cc, tril.cc, urlwrite.cc, op-bm-bm.cc, op-cdm-cdm.cc, op-cell.cc, op-chm.cc, op-cm-cm.cc, op-cm-scm.cc, op-cm-sm.cc, op-cs-scm.cc, op-cs-sm.cc, op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc, op-fcdm-fcdm.cc, op-fcm-fcm.cc, op-fdm-fdm.cc, op-fm-fm.cc, op-int.h, op-m-m.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-scm.cc, op-s-sm.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-str.cc, op-struct.cc, bitfcns.cc, data.cc, debug.cc, dynamic-ld.cc, error.cc, gl-render.cc, graphics.cc, graphics.in.h, load-path.cc, ls-hdf5.cc, ls-mat5.cc, ls-mat5.h, ls-oct-ascii.cc, ls-oct-ascii.h, mex.cc, mk-errno-list, oct-map.cc, oct-obj.h, oct-parse.yy, octave-config.in.cc, ov-base-int.cc, ov-base-mat.cc, ov-base.cc, ov-bool-mat.cc, ov-bool-sparse.cc, ov-bool.cc, ov-cell.cc, ov-class.cc, ov-class.h, ov-cx-mat.cc, ov-cx-sparse.cc, ov-fcn-handle.cc, ov-flt-cx-mat.cc, ov-flt-re-mat.cc, ov-intx.h, ov-range.h, ov-re-mat.cc, ov-re-sparse.cc, ov-str-mat.cc, ov-struct.cc, ov-usr-fcn.h, ov.h, pr-output.cc, pt-id.cc, pt-id.h, pt-mat.cc, pt-select.cc, sparse.cc, symtab.cc, symtab.h, syscalls.cc, toplev.cc, txt-eng-ft.cc, variables.cc, zfstream.cc, zfstream.h, Dork.m, getStash.m, myStash.m, Gork.m, Pork.m, myStash.m, getStash.m, myStash.m, getStash.m, myStash.m, fntests.m: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists.
author Rik <octave@nomad.inbox5.com>
date Sun, 08 Jul 2012 11:28:50 -0700
parents 60e5cf354d80
children
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rev   line source
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1 /*
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2
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3 Copyright (C) 2009-2012 Carlo de Falco
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4 Copyright (C) 2010 VZLU Prague
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5
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6 This file is part of Octave.
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7
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by the
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10 Free Software Foundation; either version 3 of the License, or (at your
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11 option) any later version.
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12
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13 Octave is distributed in the hope that it will be useful, but WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
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24 #ifdef HAVE_CONFIG_H
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25 #include <config.h>
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26 #endif
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27
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28 #include "oct-norm.h"
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29 #include "defun-dld.h"
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30 #include "error.h"
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31 #include "gripes.h"
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32
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33 template <class ColumnVector, class Matrix, class RowVector>
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34 static void
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35 do_mgorth (ColumnVector& x, const Matrix& V, RowVector& h)
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36 {
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37 octave_idx_type Vc = V.columns ();
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38 h = RowVector (Vc + 1);
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39 for (octave_idx_type j = 0; j < Vc; j++)
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40 {
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41 ColumnVector Vcj = V.column (j);
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42 h(j) = RowVector (Vcj.hermitian ()) * x;
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43 x -= h(j) * Vcj;
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44 }
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45
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46 h(Vc) = xnorm (x);
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47 if (real (h(Vc)) > 0)
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48 x = x / h(Vc);
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49 }
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50
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51 DEFUN_DLD (mgorth, args, nargout,
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52 "-*- texinfo -*-\n\
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53 @deftypefn {Loadable Function} {[@var{y}, @var{h}] =} mgorth (@var{x}, @var{v})\n\
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54 Orthogonalize a given column vector @var{x} with respect to a given\n\
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55 orthonormal basis @var{v} using a modified Gram-Schmidt orthogonalization. \n\
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56 On exit, @var{y} is a unit vector such that:\n\
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57 \n\
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58 @example\n\
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59 @group\n\
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60 norm (@var{y}) = 1\n\
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61 @var{v}' * @var{y} = 0\n\
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62 @var{x} = @var{h}*[@var{v}, @var{y}]\n\
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63 @end group\n\
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64 @end example\n\
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65 \n\
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66 @end deftypefn")
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67 {
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68 octave_value_list retval;
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69
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70 int nargin = args.length ();
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71
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72 if (nargin != 2 || nargout > 2)
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73 {
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74 print_usage ();
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75 return retval;
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76 }
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77
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78 octave_value arg_x = args(0);
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79 octave_value arg_v = args(1);
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80
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81 if (arg_v.ndims () != 2 || arg_x.ndims () != 2 || arg_x.columns () != 1
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82 || arg_v.rows () != arg_x.rows ())
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83 {
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84 error ("mgorth: V should me a matrix, and X a column vector with"
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85 " the same number of rows as V.");
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86 return retval;
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87 }
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88
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89 if (! arg_x.is_numeric_type () && ! arg_v.is_numeric_type ())
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90 {
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91 error ("mgorth: X and V must be numeric");
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92 }
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93
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94 bool iscomplex = (arg_x.is_complex_type () || arg_v.is_complex_type ());
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95 if (arg_x.is_single_type () || arg_v.is_single_type ())
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96 {
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97 if (iscomplex)
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98 {
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99 FloatComplexColumnVector x = arg_x.float_complex_column_vector_value ();
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100 FloatComplexMatrix V = arg_v.float_complex_matrix_value ();
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101 FloatComplexRowVector h;
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102 do_mgorth (x, V, h);
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103 retval(1) = h;
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104 retval(0) = x;
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105 }
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106 else
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107 {
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108 FloatColumnVector x = arg_x.float_column_vector_value ();
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109 FloatMatrix V = arg_v.float_matrix_value ();
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110 FloatRowVector h;
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111 do_mgorth (x, V, h);
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112 retval(1) = h;
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113 retval(0) = x;
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114 }
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115 }
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116 else
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117 {
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118 if (iscomplex)
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119 {
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120 ComplexColumnVector x = arg_x.complex_column_vector_value ();
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121 ComplexMatrix V = arg_v.complex_matrix_value ();
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122 ComplexRowVector h;
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123 do_mgorth (x, V, h);
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124 retval(1) = h;
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125 retval(0) = x;
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126 }
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127 else
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128 {
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129 ColumnVector x = arg_x.column_vector_value ();
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130 Matrix V = arg_v.matrix_value ();
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131 RowVector h;
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132 do_mgorth (x, V, h);
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133 retval(1) = h;
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134 retval(0) = x;
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135 }
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136 }
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137
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138 return retval;
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139 }
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140
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141 /*
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142 %!test
14501
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143 %! for ii=1:100
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144 %! assert (abs (mgorth (randn (5, 1), eye (5, 4))), [0 0 0 0 1]', eps);
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145 %! endfor
12509
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146
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147 %!test
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148 %! a = hilb (5);
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149 %! a(:, 1) /= norm (a(:, 1));
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150 %! for ii = 1:5
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151 %! a(:, ii) = mgorth (a(:, ii), a(:, 1:ii-1));
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152 %! endfor
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153 %! assert (a' * a, eye (5), 1e10);
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154 */