Mercurial > octave
annotate libinterp/corefcn/eig.cc @ 20802:8bb38ba1bad6
eliminate return statements after calls to print_usage
* __contourc__.cc, __dispatch__.cc, __dsearchn__.cc, __ichol__.cc,
__lin_interpn__.cc, __qp__.cc, balance.cc, betainc.cc, bsxfun.cc,
colloc.cc, daspk.cc, dasrt.cc, dassl.cc, defaults.cc, det.cc,
dlmread.cc, dot.cc, eig.cc, ellipj.cc, fft.cc, fft2.cc, fftn.cc,
filter.cc, find.cc, gcd.cc, givens.cc, hex2num.cc, inv.cc, lookup.cc,
lu.cc, max.cc, mgorth.cc, ordschur.cc, pinv.cc, profiler.cc, quad.cc,
qz.cc, rcond.cc, schur.cc, str2double.cc:
Eliminate return statements after calls to print_usage.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Fri, 04 Dec 2015 12:03:44 -0500 |
parents | f90c8372b7ba |
children | 1142cf6abc0d |
rev | line source |
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2928 | 1 /* |
2 | |
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3 Copyright (C) 1996-2015 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 #ifdef HAVE_CONFIG_H | |
24 #include <config.h> | |
25 #endif | |
26 | |
27 #include "EIG.h" | |
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28 #include "fEIG.h" |
2928 | 29 |
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30 #include "defun.h" |
2928 | 31 #include "error.h" |
32 #include "gripes.h" | |
33 #include "oct-obj.h" | |
34 #include "utils.h" | |
35 | |
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36 DEFUN (eig, args, nargout, |
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37 "-*- texinfo -*-\n\ |
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38 @deftypefn {Built-in Function} {@var{lambda} =} eig (@var{A})\n\ |
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39 @deftypefnx {Built-in Function} {@var{lambda} =} eig (@var{A}, @var{B})\n\ |
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40 @deftypefnx {Built-in Function} {[@var{V}, @var{lambda}] =} eig (@var{A})\n\ |
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41 @deftypefnx {Built-in Function} {[@var{V}, @var{lambda}] =} eig (@var{A}, @var{B})\n\ |
14885 | 42 Compute the eigenvalues (and optionally the eigenvectors) of a matrix\n\ |
43 or a pair of matrices\n\ | |
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44 \n\ |
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46 matrices, if they are real or complex, and if they are symmetric\n\ |
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47 (Hermitian if complex) or non-symmetric.\n\ |
5829 | 48 \n\ |
49 The eigenvalues returned by @code{eig} are not ordered.\n\ | |
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50 @seealso{eigs, svd}\n\ |
3372 | 51 @end deftypefn") |
2928 | 52 { |
53 octave_value_list retval; | |
54 | |
55 int nargin = args.length (); | |
56 | |
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57 if (nargin > 2 || nargin == 0 || nargout > 2) |
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58 print_usage (); |
2928 | 59 |
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60 octave_value arg_a, arg_b; |
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61 |
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62 octave_idx_type nr_a, nr_b, nc_a, nc_b; |
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63 nr_a = nr_b = nc_a = nc_b = 0; |
2928 | 64 |
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65 arg_a = args(0); |
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66 nr_a = arg_a.rows (); |
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67 nc_a = arg_a.columns (); |
2928 | 68 |
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69 int arg_is_empty = empty_arg ("eig", nr_a, nc_a); |
2928 | 70 if (arg_is_empty < 0) |
71 return retval; | |
72 else if (arg_is_empty > 0) | |
73 return octave_value_list (2, Matrix ()); | |
74 | |
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75 if (!(arg_a.is_single_type () || arg_a.is_double_type ())) |
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76 { |
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77 gripe_wrong_type_arg ("eig", arg_a); |
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78 return retval; |
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79 } |
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80 |
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81 if (nargin == 2) |
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82 { |
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83 arg_b = args(1); |
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84 nr_b = arg_b.rows (); |
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85 nc_b = arg_b.columns (); |
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86 |
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87 arg_is_empty = empty_arg ("eig", nr_b, nc_b); |
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88 if (arg_is_empty < 0) |
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89 return retval; |
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90 else if (arg_is_empty > 0) |
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91 return octave_value_list (2, Matrix ()); |
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92 |
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93 if (!(arg_b.is_single_type () || arg_b.is_double_type ())) |
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94 { |
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95 gripe_wrong_type_arg ("eig", arg_b); |
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96 return retval; |
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97 } |
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98 } |
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99 |
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100 if (nr_a != nc_a) |
2928 | 101 { |
102 gripe_square_matrix_required ("eig"); | |
103 return retval; | |
104 } | |
105 | |
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106 if (nargin == 2 && nr_b != nc_b) |
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107 { |
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108 gripe_square_matrix_required ("eig"); |
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109 return retval; |
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110 } |
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111 |
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112 Matrix tmp_a, tmp_b; |
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113 ComplexMatrix ctmp_a, ctmp_b; |
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114 FloatMatrix ftmp_a, ftmp_b; |
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115 FloatComplexMatrix fctmp_a, fctmp_b; |
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116 |
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117 if (arg_a.is_single_type ()) |
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118 { |
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119 FloatEIG result; |
2928 | 120 |
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121 if (nargin == 1) |
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122 { |
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123 if (arg_a.is_real_type ()) |
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124 { |
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125 ftmp_a = arg_a.float_matrix_value (); |
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126 |
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127 result = FloatEIG (ftmp_a, nargout > 1); |
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128 } |
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129 else |
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130 { |
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131 fctmp_a = arg_a.float_complex_matrix_value (); |
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132 |
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133 result = FloatEIG (fctmp_a, nargout > 1); |
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134 } |
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135 } |
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136 else if (nargin == 2) |
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137 { |
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138 if (arg_a.is_real_type () && arg_b.is_real_type ()) |
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139 { |
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140 ftmp_a = arg_a.float_matrix_value (); |
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141 ftmp_b = arg_b.float_matrix_value (); |
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143 result = FloatEIG (ftmp_a, ftmp_b, nargout > 1); |
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144 } |
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145 else |
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146 { |
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147 fctmp_a = arg_a.float_complex_matrix_value (); |
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148 fctmp_b = arg_b.float_complex_matrix_value (); |
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149 |
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150 result = FloatEIG (fctmp_a, fctmp_b, nargout > 1); |
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151 } |
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152 } |
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154 if (nargout == 0 || nargout == 1) |
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155 { |
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156 retval(0) = result.eigenvalues (); |
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157 } |
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158 else |
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159 { |
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160 // Blame it on Matlab. |
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161 |
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162 FloatComplexDiagMatrix d (result.eigenvalues ()); |
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163 |
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164 retval(1) = d; |
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165 retval(0) = result.eigenvectors (); |
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166 } |
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168 else | |
169 { | |
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170 EIG result; |
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171 |
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172 if (nargin == 1) |
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173 { |
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174 if (arg_a.is_real_type ()) |
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175 { |
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176 tmp_a = arg_a.matrix_value (); |
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177 |
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178 result = EIG (tmp_a, nargout > 1); |
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179 } |
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180 else |
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181 { |
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182 ctmp_a = arg_a.complex_matrix_value (); |
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183 |
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184 result = EIG (ctmp_a, nargout > 1); |
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185 } |
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186 } |
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187 else if (nargin == 2) |
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188 { |
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189 if (arg_a.is_real_type () && arg_b.is_real_type ()) |
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190 { |
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191 tmp_a = arg_a.matrix_value (); |
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192 tmp_b = arg_b.matrix_value (); |
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193 |
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194 result = EIG (tmp_a, tmp_b, nargout > 1); |
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195 } |
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196 else |
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197 { |
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198 ctmp_a = arg_a.complex_matrix_value (); |
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199 ctmp_b = arg_b.complex_matrix_value (); |
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200 |
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201 result = EIG (ctmp_a, ctmp_b, nargout > 1); |
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202 } |
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203 } |
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205 if (nargout == 0 || nargout == 1) |
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206 { |
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207 retval(0) = result.eigenvalues (); |
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208 } |
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209 else |
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210 { |
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211 // Blame it on Matlab. |
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213 ComplexDiagMatrix d (result.eigenvalues ()); |
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214 |
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215 retval(1) = d; |
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216 retval(0) = result.eigenvectors (); |
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217 } |
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219 | |
220 return retval; | |
221 } | |
222 | |
223 /* | |
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224 %!assert (eig ([1, 2; 2, 1]), [-1; 3], sqrt (eps)) |
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225 |
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226 %!test |
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227 %! [v, d] = eig ([1, 2; 2, 1]); |
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228 %! x = 1 / sqrt (2); |
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229 %! assert (d, [-1, 0; 0, 3], sqrt (eps)); |
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230 %! assert (v, [-x, x; x, x], sqrt (eps)); |
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231 |
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232 %!assert (eig (single ([1, 2; 2, 1])), single ([-1; 3]), sqrt (eps ("single"))) |
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233 |
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234 %!test |
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235 %! [v, d] = eig (single ([1, 2; 2, 1])); |
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236 %! x = single (1 / sqrt (2)); |
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237 %! assert (d, single ([-1, 0; 0, 3]), sqrt (eps ("single"))); |
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238 %! assert (v, [-x, x; x, x], sqrt (eps ("single"))); |
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239 |
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240 %!test |
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241 %! A = [1, 2; -1, 1]; B = [3, 3; 1, 2]; |
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242 %! [v, d] = eig (A, B); |
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243 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps)); |
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244 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps)); |
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245 |
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246 %!test |
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247 %! A = single ([1, 2; -1, 1]); B = single ([3, 3; 1, 2]); |
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248 %! [v, d] = eig (A, B); |
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249 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps ("single"))); |
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250 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps ("single"))); |
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251 |
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252 %!test |
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253 %! A = [1, 2; 2, 1]; B = [3, -2; -2, 3]; |
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254 %! [v, d] = eig (A, B); |
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255 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps)); |
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256 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps)); |
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257 |
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258 %!test |
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259 %! A = single ([1, 2; 2, 1]); B = single ([3, -2; -2, 3]); |
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260 %! [v, d] = eig (A, B); |
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261 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps ("single"))); |
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262 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps ("single"))); |
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263 |
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264 %!test |
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265 %! A = [1+3i, 2+i; 2-i, 1+3i]; B = [5+9i, 2+i; 2-i, 5+9i]; |
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266 %! [v, d] = eig (A, B); |
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267 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps)); |
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268 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps)); |
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269 |
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270 %!test |
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271 %! A = single ([1+3i, 2+i; 2-i, 1+3i]); B = single ([5+9i, 2+i; 2-i, 5+9i]); |
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272 %! [v, d] = eig (A, B); |
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273 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps ("single"))); |
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274 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps ("single"))); |
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275 |
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276 %!test |
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277 %! A = [1+3i, 2+3i; 3-8i, 8+3i]; B = [8+i, 3+i; 4-9i, 3+i]; |
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278 %! [v, d] = eig (A, B); |
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279 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps)); |
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280 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps)); |
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281 |
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282 %!test |
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283 %! A = single ([1+3i, 2+3i; 3-8i, 8+3i]); B = single ([8+i, 3+i; 4-9i, 3+i]); |
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284 %! [v, d] = eig (A, B); |
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285 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps ("single"))); |
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286 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps ("single"))); |
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287 |
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288 %!test |
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289 %! A = [1, 2; 3, 8]; B = [8, 3; 4, 3]; |
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290 %! [v, d] = eig (A, B); |
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291 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps)); |
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292 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps)); |
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293 |
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294 %!test |
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295 %! A = [1, 1+i; 1-i, 1]; B = [2, 0; 0, 2]; |
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296 %! [v, d] = eig (A, B); |
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297 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps)); |
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298 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps)); |
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299 |
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300 %!test |
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301 %! A = single ([1, 1+i; 1-i, 1]); B = single ([2, 0; 0, 2]); |
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302 %! [v, d] = eig (A, B); |
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303 %! assert (A * v(:, 1), d(1, 1) * B * v(:, 1), sqrt (eps ("single"))); |
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304 %! assert (A * v(:, 2), d(2, 2) * B * v(:, 2), sqrt (eps ("single"))); |
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305 |
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306 %!error eig () |
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307 %!error eig ([1, 2; 3, 4], [4, 3; 2, 1], 1) |
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308 %!error <EIG requires same size matrices> eig ([1, 2; 3, 4], 2) |
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309 %!error <argument must be a square matrix> eig ([1, 2; 3, 4; 5, 6]) |
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310 %!error <wrong type argument> eig ("abcd") |
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311 %!error <wrong type argument> eig ([1 2 ; 2 3], "abcd") |
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312 %!error <wrong type argument> eig (false, [1 2 ; 2 3]) |
2928 | 313 */ |