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annotate libinterp/corefcn/mgorth.cc @ 21100:e39e05d90788

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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 b17fda023ca6
children 538b57866b90
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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1 /*
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2
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3 Copyright (C) 2009-2015 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.h"
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30 #include "error.h"
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31 #include "errwarn.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 /= h(Vc);
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49 }
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50
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51 DEFUN (mgorth, args, ,
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52 "-*- texinfo -*-\n\
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53 @deftypefn {} {[@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 set of\n\
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55 orthonormal vectors comprising the columns of @var{v} using the modified\n\
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56 Gram-Schmidt method.\n\
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57 \n\
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58 On exit, @var{y} is a unit vector such that:\n\
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59 \n\
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60 @example\n\
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61 @group\n\
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62 norm (@var{y}) = 1\n\
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63 @var{v}' * @var{y} = 0\n\
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64 @var{x} = [@var{v}, @var{y}]*@var{h}'\n\
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65 @end group\n\
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66 @end example\n\
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67 \n\
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68 @end deftypefn")
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69 {
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70 if (args.length () != 2)
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71 print_usage ();
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72
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73 octave_value arg_x = args(0);
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74 octave_value arg_v = args(1);
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75
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76 if (arg_v.ndims () != 2 || arg_x.ndims () != 2 || arg_x.columns () != 1
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77 || arg_v.rows () != arg_x.rows ())
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78 error ("mgorth: V should be a matrix, and X a column vector with"
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79 " the same number of rows as V.");
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80
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81 if (! arg_x.is_numeric_type () && ! arg_v.is_numeric_type ())
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82 error ("mgorth: X and V must be numeric");
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83
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84 octave_value_list retval;
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85
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86 bool iscomplex = (arg_x.is_complex_type () || arg_v.is_complex_type ());
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87 if (arg_x.is_single_type () || arg_v.is_single_type ())
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88 {
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89 if (iscomplex)
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90 {
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91 FloatComplexColumnVector x
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92 = arg_x.float_complex_column_vector_value ();
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93 FloatComplexMatrix V = arg_v.float_complex_matrix_value ();
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94 FloatComplexRowVector h;
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95 do_mgorth (x, V, h);
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96 retval = ovl (x, h);
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97 }
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98 else
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99 {
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100 FloatColumnVector x = arg_x.float_column_vector_value ();
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101 FloatMatrix V = arg_v.float_matrix_value ();
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102 FloatRowVector h;
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103 do_mgorth (x, V, h);
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104 retval = ovl (x, h);
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105 }
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106 }
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107 else
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108 {
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109 if (iscomplex)
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110 {
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111 ComplexColumnVector x = arg_x.complex_column_vector_value ();
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112 ComplexMatrix V = arg_v.complex_matrix_value ();
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113 ComplexRowVector h;
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114 do_mgorth (x, V, h);
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115 retval = ovl (x, h);
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116 }
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117 else
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118 {
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119 ColumnVector x = arg_x.column_vector_value ();
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120 Matrix V = arg_v.matrix_value ();
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121 RowVector h;
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122 do_mgorth (x, V, h);
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123 retval = ovl (x, h);
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124 }
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125 }
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126
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127 return retval;
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128 }
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129
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130 /*
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131 %!test
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132 %! for ii=1:100
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133 %! assert (abs (mgorth (randn (5, 1), eye (5, 4))), [0 0 0 0 1]', eps);
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134 %! endfor
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135
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136 %!test
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137 %! a = hilb (5);
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138 %! a(:, 1) /= norm (a(:, 1));
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139 %! for ii = 1:5
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140 %! a(:, ii) = mgorth (a(:, ii), a(:, 1:ii-1));
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141 %! endfor
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142 %! assert (a' * a, eye (5), 1e10);
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143 */