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maint: Merge stable to default.
author John W. Eaton <jwe@octave.org>
date Tue, 28 Dec 2021 18:59:33 -0500
parents 91c6288781ba 796f54d4ddbf
children e88a07dec498
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Copyright (C) 1996-2022 The Octave Project Developers
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4 //
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5 // See the file COPYRIGHT.md in the top-level directory of this
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6 // distribution or <https://octave.org/copyright/>.
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7 //
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8 // This file is part of Octave.
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9 //
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10 // Octave is free software: you can redistribute it and/or modify it
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11 // under the terms of the GNU General Public License as published by
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12 // the Free Software Foundation, either version 3 of the License, or
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13 // (at your option) any later version.
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14 //
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15 // Octave is distributed in the hope that it will be useful, but
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 // GNU General Public License for more details.
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19 //
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20 // You should have received a copy of the GNU General Public License
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21 // along with Octave; see the file COPYING. If not, see
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22 // <https://www.gnu.org/licenses/>.
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23 //
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24 ////////////////////////////////////////////////////////////////////////
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25
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26 #if defined (HAVE_CONFIG_H)
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27 # include "config.h"
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28 #endif
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29
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30 #include "defun.h"
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31 #include "error.h"
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32 #include "errwarn.h"
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33 #include "ovl.h"
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34
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35 OCTAVE_NAMESPACE_BEGIN
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36
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37 DEFUN (sylvester, args, ,
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38 doc: /* -*- texinfo -*-
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39 @deftypefn {} {@var{X} =} sylvester (@var{A}, @var{B}, @var{C})
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40 Solve the Sylvester equation.
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41
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42 The Sylvester equation is defined as:
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43 @tex
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44 $$
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45 A X + X B = C
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46 $$
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47 @end tex
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48 @ifnottex
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49
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50 @example
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51 A X + X B = C
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52 @end example
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53
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54 @end ifnottex
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55 The solution is computed using standard @sc{lapack} subroutines.
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56
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57 For example:
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58
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59 @example
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60 @group
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61 sylvester ([1, 2; 3, 4], [5, 6; 7, 8], [9, 10; 11, 12])
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62 @result{} [ 0.50000, 0.66667; 0.66667, 0.50000 ]
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63 @end group
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64 @end example
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65 @end deftypefn */)
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66 {
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67 if (args.length () != 3)
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68 print_usage ();
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69
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70 octave_value retval;
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71
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72 octave_value arg_a = args(0);
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73 octave_value arg_b = args(1);
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74 octave_value arg_c = args(2);
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75
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76 octave_idx_type a_nr = arg_a.rows ();
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77 octave_idx_type a_nc = arg_a.columns ();
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78
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79 octave_idx_type b_nr = arg_b.rows ();
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80 octave_idx_type b_nc = arg_b.columns ();
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81
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82 octave_idx_type c_nr = arg_c.rows ();
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83 octave_idx_type c_nc = arg_c.columns ();
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84
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85 bool isfloat = arg_a.is_single_type ()
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86 || arg_b.is_single_type ()
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87 || arg_c.is_single_type ();
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88
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89 if (arg_a.isempty () || arg_b.isempty () || arg_c.isempty ())
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90 {
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91 if (isfloat)
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92 return ovl (FloatMatrix ());
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93 else
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94 return ovl (Matrix ());
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95 }
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96
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97 // Arguments are not empty, so check for correct dimensions.
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98
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99 if (a_nr != a_nc)
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100 err_square_matrix_required ("sylvester", "A");
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101 if (b_nr != b_nc)
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102 err_square_matrix_required ("sylvester", "B");
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103 if (a_nr != c_nr || b_nr != c_nc)
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104 ::err_nonconformant ();
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105
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106 if (isfloat)
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107 {
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108 if (arg_a.iscomplex ()
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109 || arg_b.iscomplex ()
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110 || arg_c.iscomplex ())
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111 {
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112 // Do everything in complex arithmetic;
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113
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114 FloatComplexMatrix ca = arg_a.float_complex_matrix_value ();
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115 FloatComplexMatrix cb = arg_b.float_complex_matrix_value ();
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116 FloatComplexMatrix cc = arg_c.float_complex_matrix_value ();
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117
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118 retval = Sylvester (ca, cb, cc);
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119 }
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120 else
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121 {
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122 // Do everything in real arithmetic.
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123
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124 FloatMatrix ca = arg_a.float_matrix_value ();
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125 FloatMatrix cb = arg_b.float_matrix_value ();
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126 FloatMatrix cc = arg_c.float_matrix_value ();
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127
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128 retval = Sylvester (ca, cb, cc);
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129 }
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130 }
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131 else
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132 {
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133 if (arg_a.iscomplex ()
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134 || arg_b.iscomplex ()
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135 || arg_c.iscomplex ())
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136 {
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137 // Do everything in complex arithmetic;
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138
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139 ComplexMatrix ca = arg_a.complex_matrix_value ();
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140 ComplexMatrix cb = arg_b.complex_matrix_value ();
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141 ComplexMatrix cc = arg_c.complex_matrix_value ();
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142
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143 retval = Sylvester (ca, cb, cc);
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144 }
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145 else
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146 {
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147 // Do everything in real arithmetic.
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148
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149 Matrix ca = arg_a.matrix_value ();
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150 Matrix cb = arg_b.matrix_value ();
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151 Matrix cc = arg_c.matrix_value ();
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152
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153 retval = Sylvester (ca, cb, cc);
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154 }
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155 }
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156
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157 return retval;
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158 }
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159
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160 /*
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161 %!assert (sylvester ([1, 2; 3, 4], [5, 6; 7, 8], [9, 10; 11, 12]),
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162 %! [1/2, 2/3; 2/3, 1/2], sqrt (eps))
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163 %!assert (sylvester (single ([1, 2; 3, 4]), single ([5, 6; 7, 8]), single ([9, 10; 11, 12])),
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164 %! single ([1/2, 2/3; 2/3, 1/2]), sqrt (eps ("single")))
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165
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166 ## Test input validation
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167 %!error sylvester ()
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168 %!error sylvester (1)
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169 %!error sylvester (1,2)
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170 %!error sylvester (1, 2, 3, 4)
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171 %!error <A must be a square matrix> sylvester (ones (2,3), ones (2,2), ones (2,2))
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172 %!error <B must be a square matrix> sylvester (ones (2,2), ones (2,3), ones (2,2))
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173 %!error <nonconformant matrices> sylvester (ones (2,2), ones (2,2), ones (3,3))
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174 */
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175
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176 OCTAVE_NAMESPACE_END