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annotate libinterp/corefcn/sylvester.cc @ 23220:092078913d54

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maint: Merge stable to default.
author John W. Eaton <jwe@octave.org>
date Wed, 22 Feb 2017 12:58:07 -0500
parents ef4d915df748 3ac9f9ecfae5
children 80c42f4cca13
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1 /*
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2
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3 Copyright (C) 1996-2017 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
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9 the Free Software Foundation; either version 3 of the License, or
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10 (at your 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
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13 WITHOUT ANY WARRANTY; without even the implied warranty of
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14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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15 GNU General Public License 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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22
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23 // Author: A. S. Hodel <scotte@eng.auburn.edu>
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24
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25 #if defined (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 "errwarn.h"
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32 #include "ovl.h"
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33
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34 DEFUN (sylvester, args, ,
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35 doc: /* -*- texinfo -*-
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36 @deftypefn {} {@var{X} =} sylvester (@var{A}, @var{B}, @var{C})
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37 Solve the Sylvester equation
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38 @tex
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39 $$
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40 A X + X B = C
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41 $$
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42 @end tex
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43 @ifnottex
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44
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45 @example
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46 A X + X B = C
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47 @end example
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48
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49 @end ifnottex
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50 using standard @sc{lapack} subroutines.
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51
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52 For example:
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53
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54 @example
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55 @group
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56 sylvester ([1, 2; 3, 4], [5, 6; 7, 8], [9, 10; 11, 12])
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57 @result{} [ 0.50000, 0.66667; 0.66667, 0.50000 ]
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58 @end group
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59 @end example
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60 @end deftypefn */)
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61 {
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62 if (args.length () != 3)
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63 print_usage ();
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64
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65 octave_value retval;
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66
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67 octave_value arg_a = args(0);
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68 octave_value arg_b = args(1);
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69 octave_value arg_c = args(2);
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70
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71 octave_idx_type a_nr = arg_a.rows ();
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72 octave_idx_type a_nc = arg_a.columns ();
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73
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74 octave_idx_type b_nr = arg_b.rows ();
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75 octave_idx_type b_nc = arg_b.columns ();
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76
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77 octave_idx_type c_nr = arg_c.rows ();
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78 octave_idx_type c_nc = arg_c.columns ();
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79
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80 bool isfloat = arg_a.is_single_type ()
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81 || arg_b.is_single_type ()
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82 || arg_c.is_single_type ();
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83
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84 if (arg_a.is_empty () || arg_b.is_empty () || arg_c.is_empty ())
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85 {
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86 if (isfloat)
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87 return ovl (FloatMatrix ());
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88 else
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89 return ovl (Matrix ());
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90 }
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91
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92 // Arguments are not empty, so check for correct dimensions.
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93
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94 if (a_nr != a_nc)
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95 err_square_matrix_required ("sylvester", "A");
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96 if (b_nr != b_nc)
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97 err_square_matrix_required ("sylvester", "B");
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98 if (a_nr != c_nr || b_nr != c_nc)
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99 err_nonconformant ();
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100
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101 if (isfloat)
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102 {
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103 if (arg_a.is_complex_type ()
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104 || arg_b.is_complex_type ()
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105 || arg_c.is_complex_type ())
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106 {
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107 // Do everything in complex arithmetic;
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108
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109 FloatComplexMatrix ca = arg_a.float_complex_matrix_value ();
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110 FloatComplexMatrix cb = arg_b.float_complex_matrix_value ();
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111 FloatComplexMatrix cc = arg_c.float_complex_matrix_value ();
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112
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113 retval = Sylvester (ca, cb, cc);
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114 }
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115 else
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116 {
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117 // Do everything in real arithmetic.
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118
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119 FloatMatrix ca = arg_a.float_matrix_value ();
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120 FloatMatrix cb = arg_b.float_matrix_value ();
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121 FloatMatrix cc = arg_c.float_matrix_value ();
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122
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123 retval = Sylvester (ca, cb, cc);
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124 }
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125 }
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126 else
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127 {
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128 if (arg_a.is_complex_type ()
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129 || arg_b.is_complex_type ()
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130 || arg_c.is_complex_type ())
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131 {
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132 // Do everything in complex arithmetic;
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133
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134 ComplexMatrix ca = arg_a.complex_matrix_value ();
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135 ComplexMatrix cb = arg_b.complex_matrix_value ();
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136 ComplexMatrix cc = arg_c.complex_matrix_value ();
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137
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138 retval = Sylvester (ca, cb, cc);
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139 }
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140 else
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141 {
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142 // Do everything in real arithmetic.
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143
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144 Matrix ca = arg_a.matrix_value ();
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145 Matrix cb = arg_b.matrix_value ();
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146 Matrix cc = arg_c.matrix_value ();
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147
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148 retval = Sylvester (ca, cb, cc);
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149 }
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150 }
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151
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152 return retval;
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153 }
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154
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155 /*
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156 %!assert (sylvester ([1, 2; 3, 4], [5, 6; 7, 8], [9, 10; 11, 12]), [1/2, 2/3; 2/3, 1/2], sqrt (eps))
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157 %!assert (sylvester (single ([1, 2; 3, 4]), single ([5, 6; 7, 8]), single ([9, 10; 11, 12])), single ([1/2, 2/3; 2/3, 1/2]), sqrt (eps ("single")))
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158
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159 ## Test input validation
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160 %!error sylvester ()
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161 %!error sylvester (1)
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162 %!error sylvester (1,2)
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163 %!error sylvester (1, 2, 3, 4)
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164 %!error <A must be a square matrix> sylvester (ones (2,3), ones (2,2), ones (2,2))
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165 %!error <B must be a square matrix> sylvester (ones (2,2), ones (2,3), ones (2,2))
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166 %!error <nonconformant matrices> sylvester (ones (2,2), ones (2,2), ones (3,3))
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167 */