Mercurial > octave
annotate src/DLD-FUNCTIONS/givens.cc @ 12840:ecafefd638c9
codesprint: Wrote 5 tests for givens.cc
author | Jordi Gutiérrez Hermoso <jordigh@gmail.com> |
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date | Sat, 16 Jul 2011 16:59:10 -0500 |
parents | 12df7854fa7c |
children | 6e2971841d67 |
rev | line source |
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2928 | 1 /* |
2 | |
11523 | 3 Copyright (C) 1996-2011 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 | |
29 #include "defun-dld.h" | |
30 #include "error.h" | |
31 #include "oct-obj.h" | |
32 | |
33 DEFUN_DLD (givens, args, nargout, | |
3548 | 34 "-*- texinfo -*-\n\ |
10840 | 35 @deftypefn {Loadable Function} {@var{g} =} givens (@var{x}, @var{y})\n\ |
3372 | 36 @deftypefnx {Loadable Function} {[@var{c}, @var{s}] =} givens (@var{x}, @var{y})\n\ |
37 @tex\n\ | |
38 Return a $2\\times 2$ orthogonal matrix\n\ | |
39 $$\n\ | |
40 G = \\left[\\matrix{c & s\\cr -s'& c\\cr}\\right]\n\ | |
41 $$\n\ | |
42 such that\n\ | |
43 $$\n\ | |
44 G \\left[\\matrix{x\\cr y}\\right] = \\left[\\matrix{\\ast\\cr 0}\\right]\n\ | |
45 $$\n\ | |
46 with $x$ and $y$ scalars.\n\ | |
47 @end tex\n\ | |
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48 @ifnottex\n\ |
3372 | 49 Return a 2 by 2 orthogonal matrix\n\ |
3499 | 50 @code{@var{g} = [@var{c} @var{s}; -@var{s}' @var{c}]} such that\n\ |
51 @code{@var{g} [@var{x}; @var{y}] = [*; 0]} with @var{x} and @var{y} scalars.\n\ | |
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52 @end ifnottex\n\ |
2928 | 53 \n\ |
10840 | 54 For example:\n\ |
2928 | 55 \n\ |
3372 | 56 @example\n\ |
57 @group\n\ | |
58 givens (1, 1)\n\ | |
59 @result{} 0.70711 0.70711\n\ | |
60 -0.70711 0.70711\n\ | |
61 @end group\n\ | |
62 @end example\n\ | |
63 @end deftypefn") | |
2928 | 64 { |
65 octave_value_list retval; | |
66 | |
67 int nargin = args.length (); | |
68 | |
69 if (nargin != 2 || nargout > 2) | |
70 { | |
5823 | 71 print_usage (); |
2928 | 72 return retval; |
73 } | |
74 else | |
75 { | |
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76 if (args(0).is_single_type () || args(1).is_single_type ()) |
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77 { |
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78 if (args(0).is_complex_type () || args(1).is_complex_type ()) |
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79 { |
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80 FloatComplex cx = args(0).float_complex_value (); |
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81 FloatComplex cy = args(1).float_complex_value (); |
2928 | 82 |
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83 if (! error_state) |
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84 { |
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85 FloatComplexMatrix result = Givens (cx, cy); |
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86 |
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87 if (! error_state) |
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88 { |
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89 switch (nargout) |
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90 { |
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91 case 0: |
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92 case 1: |
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93 retval(0) = result; |
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94 break; |
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95 |
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96 case 2: |
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97 retval(1) = result (0, 1); |
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98 retval(0) = result (0, 0); |
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99 break; |
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100 |
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101 default: |
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102 error ("givens: invalid number of output arguments"); |
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103 break; |
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104 } |
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105 } |
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106 } |
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107 } |
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108 else |
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109 { |
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110 float x = args(0).float_value (); |
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111 float y = args(1).float_value (); |
2928 | 112 |
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113 if (! error_state) |
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114 { |
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115 FloatMatrix result = Givens (x, y); |
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116 |
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117 if (! error_state) |
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118 { |
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119 switch (nargout) |
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120 { |
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121 case 0: |
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122 case 1: |
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123 retval(0) = result; |
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124 break; |
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125 |
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126 case 2: |
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127 retval(1) = result (0, 1); |
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128 retval(0) = result (0, 0); |
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129 break; |
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130 |
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131 default: |
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132 error ("givens: invalid number of output arguments"); |
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133 break; |
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134 } |
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135 } |
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136 } |
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137 } |
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138 } |
2928 | 139 else |
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140 { |
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141 if (args(0).is_complex_type () || args(1).is_complex_type ()) |
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142 { |
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143 Complex cx = args(0).complex_value (); |
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144 Complex cy = args(1).complex_value (); |
2928 | 145 |
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146 if (! error_state) |
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147 { |
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148 ComplexMatrix result = Givens (cx, cy); |
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149 |
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150 if (! error_state) |
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151 { |
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152 switch (nargout) |
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153 { |
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154 case 0: |
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155 case 1: |
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156 retval(0) = result; |
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157 break; |
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158 |
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159 case 2: |
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160 retval(1) = result (0, 1); |
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161 retval(0) = result (0, 0); |
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162 break; |
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163 |
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164 default: |
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165 error ("givens: invalid number of output arguments"); |
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166 break; |
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167 } |
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168 } |
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169 } |
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170 } |
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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 (); |
2928 | 175 |
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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 default: |
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195 error ("givens: invalid number of output arguments"); |
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196 break; |
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197 } |
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198 } |
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199 } |
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200 } |
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201 } |
2928 | 202 } |
203 | |
204 return retval; | |
205 } | |
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206 |
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207 /* |
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208 |
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209 %!assert (givens (1,1), [1, 1; -1, 1]/sqrt(2)); |
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210 %!assert (givens (1,0), eye(2)); |
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211 %!assert (givens (0,1), [0, 1; -1 0]); |
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212 %!error givens(1); |
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213 %!error givens() |
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214 |
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215 */ |