Mercurial > octave
annotate libinterp/corefcn/givens.cc @ 19169:1faae07afbd8
Overhaul givens and planerot functions.
* givens.cc (Fgivens): Redo docstring. Remove useless default to detect
nargout > 2 in switch statements.
* planerot.m: Redo docstring. Add input validation. Add BIST tests for input validation.
author | Rik <rik@octave.org> |
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date | Sat, 27 Sep 2014 13:41:57 -0700 |
parents | 175b392e91fe |
children | 4197fc428c7d |
rev | line source |
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2928 | 1 /* |
2 | |
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3 Copyright (C) 1996-2013 John W. Eaton |
2928 | 4 |
5 This file is part of Octave. | |
6 | |
7 Octave is free software; you can redistribute it and/or modify it | |
8 under the terms of the GNU General Public License as published by the | |
7016 | 9 Free Software Foundation; either version 3 of the License, or (at your |
10 option) any later version. | |
2928 | 11 |
12 Octave is distributed in the hope that it will be useful, but WITHOUT | |
13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
15 for more details. | |
16 | |
17 You should have received a copy of the GNU General Public License | |
7016 | 18 along with Octave; see the file COPYING. If not, see |
19 <http://www.gnu.org/licenses/>. | |
2928 | 20 |
21 */ | |
22 | |
23 // Originally written by A. S. Hodel <scotte@eng.auburn.edu> | |
24 | |
25 #ifdef HAVE_CONFIG_H | |
26 #include <config.h> | |
27 #endif | |
28 | |
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29 #include "defun.h" |
2928 | 30 #include "error.h" |
31 #include "oct-obj.h" | |
32 | |
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33 DEFUN (givens, args, nargout, |
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34 "-*- texinfo -*-\n\ |
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35 @deftypefn {Built-in Function} {@var{G} =} givens (@var{x}, @var{y})\n\ |
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36 @deftypefnx {Built-in Function} {[@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\ |
3372 | 39 @tex\n\ |
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40 The Givens matrix is a $2\\times 2$ orthogonal matrix\n\ |
3372 | 41 $$\n\ |
42 G = \\left[\\matrix{c & s\\cr -s'& c\\cr}\\right]\n\ | |
43 $$\n\ | |
44 such that\n\ | |
45 $$\n\ | |
46 G \\left[\\matrix{x\\cr y}\\right] = \\left[\\matrix{\\ast\\cr 0}\\right]\n\ | |
47 $$\n\ | |
48 with $x$ and $y$ scalars.\n\ | |
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\ |
2928 | 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\ |
10840 | 65 For example:\n\ |
2928 | 66 \n\ |
3372 | 67 @example\n\ |
68 @group\n\ | |
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\ |
3372 | 72 @end group\n\ |
73 @end example\n\ | |
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74 @seealso{planerot}\n\ |
3372 | 75 @end deftypefn") |
2928 | 76 { |
77 octave_value_list retval; | |
78 | |
79 int nargin = args.length (); | |
80 | |
81 if (nargin != 2 || nargout > 2) | |
82 { | |
5823 | 83 print_usage (); |
2928 | 84 return retval; |
85 } | |
86 else | |
87 { | |
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88 if (args(0).is_single_type () || args(1).is_single_type ()) |
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89 { |
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90 if (args(0).is_complex_type () || args(1).is_complex_type ()) |
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91 { |
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92 FloatComplex cx = args(0).float_complex_value (); |
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93 FloatComplex cy = args(1).float_complex_value (); |
2928 | 94 |
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95 if (! error_state) |
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96 { |
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97 FloatComplexMatrix result = Givens (cx, cy); |
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98 |
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99 if (! error_state) |
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100 { |
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101 switch (nargout) |
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102 { |
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103 case 0: |
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104 case 1: |
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105 retval(0) = result; |
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106 break; |
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107 |
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108 case 2: |
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109 retval(1) = result (0, 1); |
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110 retval(0) = result (0, 0); |
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111 break; |
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112 } |
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113 } |
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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 float x = args(0).float_value (); |
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119 float y = args(1).float_value (); |
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121 if (! error_state) |
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122 { |
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123 FloatMatrix result = Givens (x, y); |
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124 |
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125 if (! error_state) |
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126 { |
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127 switch (nargout) |
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128 { |
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129 case 0: |
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130 case 1: |
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131 retval(0) = result; |
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133 |
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134 case 2: |
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135 retval(1) = result (0, 1); |
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136 retval(0) = result (0, 0); |
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137 break; |
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138 } |
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141 } |
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142 } |
2928 | 143 else |
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144 { |
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145 if (args(0).is_complex_type () || args(1).is_complex_type ()) |
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146 { |
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147 Complex cx = args(0).complex_value (); |
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148 Complex cy = args(1).complex_value (); |
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150 if (! error_state) |
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151 { |
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152 ComplexMatrix result = Givens (cx, cy); |
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154 if (! error_state) |
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156 switch (nargout) |
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158 case 0: |
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160 retval(0) = result; |
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161 break; |
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162 |
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163 case 2: |
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164 retval(1) = result (0, 1); |
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165 retval(0) = result (0, 0); |
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167 } |
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171 else |
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172 { |
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173 double x = args(0).double_value (); |
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174 double y = args(1).double_value (); |
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176 if (! error_state) |
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177 { |
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178 Matrix result = Givens (x, y); |
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179 |
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180 if (! error_state) |
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181 { |
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182 switch (nargout) |
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183 { |
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184 case 0: |
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185 case 1: |
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186 retval(0) = result; |
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187 break; |
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188 |
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189 case 2: |
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190 retval(1) = result (0, 1); |
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191 retval(0) = result (0, 0); |
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192 break; |
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193 } |
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194 } |
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195 } |
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196 } |
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197 } |
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199 | |
200 return retval; | |
201 } | |
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202 |
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203 /* |
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204 %!assert (givens (1,1), [1, 1; -1, 1] / sqrt (2), 2*eps) |
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205 %!assert (givens (1,0), eye (2)) |
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206 %!assert (givens (0,1), [0, 1; -1 0]) |
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207 |
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208 %!error givens () |
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209 %!error givens (1) |
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210 %!error [a,b,c] = givens (1, 1) |
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211 */ |