Mercurial > octave
annotate libinterp/corefcn/sylvester.cc @ 27923:bd51beb6205e
update formatting of copyright notices
* Use <https://octave.org/copyright/> instead of
<https://octave.org/COPYRIGHT.html/>.
* For consistency with other comments in the Octave sources, use
C++-style comments for copyright blocks in C and C++ files.
* Use delimiters above and below copyright blocks that are appropriate
for the language used in the file.
* Eliminate extra spacing inside copyright blocks.
* lex.ll (looks_like_copyright): Also allow newlines and carriage
returns before the word "Copyright".
* scripts/mk-doc.pl (gethelp): Also skip empty comment lines.
* bp-table.cc, type.m: Adjust tests.
author | John W. Eaton <jwe@octave.org> |
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date | Wed, 08 Jan 2020 11:59:41 -0500 |
parents | 1891570abac8 |
children | a4268efb7334 |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 1996-2020 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 //////////////////////////////////////////////////////////////////////// |
2928 | 25 |
3911 | 26 // Author: A. S. Hodel <scotte@eng.auburn.edu> |
2928 | 27 |
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28 #if defined (HAVE_CONFIG_H) |
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29 # include "config.h" |
2928 | 30 #endif |
31 | |
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32 #include "defun.h" |
2928 | 33 #include "error.h" |
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34 #include "errwarn.h" |
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35 #include "ovl.h" |
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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 */) |
2928 | 66 { |
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67 if (args.length () != 3) |
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68 print_usage (); |
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70 octave_value retval; |
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71 |
2928 | 72 octave_value arg_a = args(0); |
73 octave_value arg_b = args(1); | |
74 octave_value arg_c = args(2); | |
75 | |
5275 | 76 octave_idx_type a_nr = arg_a.rows (); |
77 octave_idx_type a_nc = arg_a.columns (); | |
2928 | 78 |
5275 | 79 octave_idx_type b_nr = arg_b.rows (); |
80 octave_idx_type b_nc = arg_b.columns (); | |
2928 | 81 |
5275 | 82 octave_idx_type c_nr = arg_c.rows (); |
83 octave_idx_type c_nc = arg_c.columns (); | |
2928 | 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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97 // Arguments are not empty, so check for correct dimensions. | |
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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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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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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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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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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153 retval = Sylvester (ca, cb, cc); |
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154 } |
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155 } |
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157 return retval; | |
158 } | |
159 | |
160 /* | |
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161 %!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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162 %!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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163 |
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164 ## Test input validation |
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165 %!error sylvester () |
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166 %!error sylvester (1) |
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167 %!error sylvester (1,2) |
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168 %!error sylvester (1, 2, 3, 4) |
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169 %!error <A must be a square matrix> sylvester (ones (2,3), ones (2,2), ones (2,2)) |
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170 %!error <B must be a square matrix> sylvester (ones (2,2), ones (2,3), ones (2,2)) |
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171 %!error <nonconformant matrices> sylvester (ones (2,2), ones (2,2), ones (3,3)) |
2928 | 172 */ |