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annotate libinterp/corefcn/givens.cc @ 20940:48b2ad5ee801

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maint: Rename oct-obj.[cc|h] to ovl.[cc|h] for clarity. * libinterp/corefcn/oct-obj.h: Replaced. Contains a #warning issued if used in compilation and includes "ovl.h" instead. Original file renamed to libinterp/octave-value/ovl.h * libinterp/corefcn/oct-obj.cc: Renamed to libinterp/octave-value/ovl.cc. * oct-obj.cc (ovl ()): Added new function to return empty octave_value_list. * libinterp/corefcn/module.mk: Remove oct-obj.cc from build system. * libinterp/octave-value/module.mk: Add ovl.h and ovl.cc to build system. * mk-opts.pl, annotation-dialog.h, Cell.cc, __contourc__.cc, __dsearchn__.cc, __lin_interpn__.cc, __pchip_deriv__.cc, __qp__.cc, balance.cc, besselj.cc, betainc.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc, defun.cc, det.cc, dirfns.cc, dlmread.cc, eig.cc, error.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, gammainc.cc, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, graphics.cc, gripes.cc, help.cc, hess.cc, hex2num.cc, hook-fcn.h, input.cc, input.h, inv.cc, kron.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, mex.cc, oct-hist.cc, oct-lvalue.cc, oct-lvalue.h, oct-map.h, oct-stream.cc, oct.h, ordschur.cc, pager.cc, pinv.cc, pr-output.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, sparse-xpow.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symtab.h, syscalls.cc, sysdep.cc, time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, urlwrite.cc, utils.cc, variables.cc, xpow.cc, __delaunayn__.cc, __glpk__.cc, __voronoi__.cc, audiodevinfo.cc, audioread.cc, chol.cc, convhulln.cc, dmperm.cc, qr.cc, symbfact.cc, mkbuiltins, ov-base-diag.h, ov-base-int.cc, ov-base-mat.cc, ov-base-mat.h, ov-base-scalar.cc, ov-base-sparse.cc, ov-base-sparse.h, ov-base.cc, ov-bool-mat.cc, ov-bool.cc, ov-builtin.cc, ov-cell.cc, ov-colon.cc, ov-complex.cc, ov-cs-list.h, ov-cx-mat.cc, ov-dld-fcn.cc, ov-fcn.cc, ov-fcn.h, ov-float.cc, ov-flt-complex.cc, ov-flt-cx-mat.cc, ov-flt-re-mat.cc, ov-int16.cc, ov-int32.cc, ov-int64.cc, ov-int8.cc, ov-java.h, ov-mex-fcn.cc, ov-perm.h, ov-range.cc, ov-re-mat.cc, ov-scalar.cc, ov-str-mat.cc, ov-uint16.cc, ov-uint32.cc, ov-uint64.cc, ov-uint8.cc, ov-usr-fcn.cc, ov-usr-fcn.h, ov.cc, octave.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-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-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, parse.h, pt-arg-list.cc, pt-assign.cc, pt-binop.cc, pt-cbinop.cc, pt-cell.cc, pt-colon.cc, pt-const.cc, pt-eval.h, pt-fcn-handle.cc, pt-funcall.h, pt-id.cc, pt-idx.cc, pt-jump.cc, pt-mat.cc, pt-select.cc, pt-unop.cc, token.cc, Array-sym.cc: replace '#include "oct-obj.h"' with '#include "ovl.h"'.
author Rik <rik@octave.org>
date Fri, 18 Dec 2015 16:04:56 -0800
parents b17fda023ca6
children fcac5dbbf9ed
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1 /*
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2
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3 Copyright (C) 1996-2015 John W. Eaton
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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23 // Originally written by A. S. Hodel <scotte@eng.auburn.edu>
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24
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25 #ifdef HAVE_CONFIG_H
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26 #include <config.h>
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27 #endif
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28
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29 #include "defun.h"
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30 #include "error.h"
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31 #include "ovl.h"
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32
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33 DEFUN (givens, args, nargout,
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34 "-*- texinfo -*-\n\
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35 @deftypefn {} {@var{G} =} givens (@var{x}, @var{y})\n\
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36 @deftypefnx {} {[@var{c}, @var{s}] =} givens (@var{x}, @var{y})\n\
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37 Compute the Givens rotation matrix @var{G}.\n\
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38 \n\
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39 @tex\n\
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40 The Givens matrix is a $2\\times 2$ orthogonal matrix\n\
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41 $$\n\
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42 G = \\left[\\matrix{c & s\\cr -s'& c\\cr}\\right]\n\
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43 $$\n\
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44 such that\n\
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45 $$\n\
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46 G \\left[\\matrix{x\\cr y}\\right] = \\left[\\matrix{\\ast\\cr 0}\\right]\n\
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47 $$\n\
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48 with $x$ and $y$ scalars.\n\
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49 @end tex\n\
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50 @ifnottex\n\
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51 The Givens matrix is a 2 by 2 orthogonal matrix\n\
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52 \n\
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53 @code{@var{g} = [@var{c} @var{s}; -@var{s}' @var{c}]}\n\
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54 \n\
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55 such that\n\
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56 \n\
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57 @code{@var{g} [@var{x}; @var{y}] = [*; 0]}\n\
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58 \n\
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59 with @var{x} and @var{y} scalars.\n\
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60 @end ifnottex\n\
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61 \n\
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62 If two output arguments are requested, return the factors @var{c} and\n\
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63 @var{s} rather than the Givens rotation matrix.\n\
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64 \n\
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65 For example:\n\
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66 \n\
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67 @example\n\
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68 @group\n\
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69 givens (1, 1)\n\
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70 @result{} 0.70711 0.70711\n\
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71 -0.70711 0.70711\n\
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72 @end group\n\
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73 @end example\n\
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74 @seealso{planerot}\n\
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75 @end deftypefn")
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76 {
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77 if (args.length () != 2)
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78 print_usage ();
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79
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80 octave_value_list retval;
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81
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82 if (args(0).is_single_type () || args(1).is_single_type ())
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83 {
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84 if (args(0).is_complex_type () || args(1).is_complex_type ())
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85 {
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86 FloatComplex cx = args(0).float_complex_value ();
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87 FloatComplex cy = args(1).float_complex_value ();
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88
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89 FloatComplexMatrix result = Givens (cx, cy);
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90
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91 switch (nargout)
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92 {
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93 case 0:
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94 case 1:
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95 retval = ovl (result);
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96 break;
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97
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98 case 2:
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99 retval = ovl (result(0, 0), result(0, 1));
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100 break;
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101 }
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102 }
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103 else
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104 {
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105 float x = args(0).float_value ();
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106 float y = args(1).float_value ();
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108 FloatMatrix result = Givens (x, y);
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109
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110 switch (nargout)
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111 {
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112 case 0:
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113 case 1:
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114 retval = ovl (result);
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115 break;
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116
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117 case 2:
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118 retval = ovl (result(0, 0), result(0, 1));
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119 break;
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120 }
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121 }
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122 }
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123 else
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124 {
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125 if (args(0).is_complex_type () || args(1).is_complex_type ())
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126 {
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127 Complex cx = args(0).complex_value ();
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128 Complex cy = args(1).complex_value ();
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129
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130 ComplexMatrix result = Givens (cx, cy);
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131
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132 switch (nargout)
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133 {
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134 case 0:
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135 case 1:
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136 retval = ovl (result);
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137 break;
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138
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139 case 2:
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140 retval = ovl (result(0, 0), result(0, 1));
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141 break;
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142 }
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143 }
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144 else
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145 {
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146 double x = args(0).double_value ();
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147 double y = args(1).double_value ();
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148
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149 Matrix result = Givens (x, y);
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150
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151 switch (nargout)
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152 {
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153 case 0:
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154 case 1:
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155 retval = ovl (result);
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156 break;
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157
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158 case 2:
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159 retval = ovl (result(0, 0), result(0, 1));
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160 break;
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161 }
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162 }
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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163 }
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164
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165 return retval;
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166 }
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167
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168 /*
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169 %!assert (givens (1,1), [1, 1; -1, 1] / sqrt (2), 2*eps)
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170 %!assert (givens (1,0), eye (2))
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171 %!assert (givens (0,1), [0, 1; -1 0])
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172
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173 %!error givens ()
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174 %!error givens (1)
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175 %!error [a,b,c] = givens (1, 1)
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176 */