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annotate libinterp/corefcn/sylvester.cc @ 22287:d9913b55ef15

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sylvester.cc: fix function name in help text.
author Carnë Draug <carandraug@octave.org>
date Sun, 14 Aug 2016 13:50:13 +0100
parents 112b20240c87
children bac0d6f07a3e
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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1 /*
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2
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3 Copyright (C) 1996-2015 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 the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 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 WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 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 #include "utils.h"
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34
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35 DEFUN (sylvester, args, ,
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36 doc: /* -*- texinfo -*-
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37 @deftypefn {} {@var{X} =} sylvester (@var{A}, @var{B}, @var{C})
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38 Solve the Sylvester equation
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39 @tex
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40 $$
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41 A X + X B = C
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42 $$
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43 @end tex
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44 @ifnottex
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45
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46 @example
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47 A X + X B = C
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48 @end example
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49
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50 @end ifnottex
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51 using standard @sc{lapack} subroutines.
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52
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53 For example:
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54
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55 @example
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56 @group
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57 sylvester ([1, 2; 3, 4], [5, 6; 7, 8], [9, 10; 11, 12])
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58 @result{} [ 0.50000, 0.66667; 0.66667, 0.50000 ]
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59 @end group
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60 @end example
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61 @end deftypefn */)
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62 {
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63 if (args.length () != 3)
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64 print_usage ();
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65
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66 octave_value retval;
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67
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68 octave_value arg_a = args(0);
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69 octave_value arg_b = args(1);
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70 octave_value arg_c = args(2);
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71
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72 octave_idx_type a_nr = arg_a.rows ();
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73 octave_idx_type a_nc = arg_a.columns ();
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74
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75 octave_idx_type b_nr = arg_b.rows ();
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76 octave_idx_type b_nc = arg_b.columns ();
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77
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78 octave_idx_type c_nr = arg_c.rows ();
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79 octave_idx_type c_nc = arg_c.columns ();
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80
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81 int arg_a_is_empty = empty_arg ("sylvester", a_nr, a_nc);
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82 int arg_b_is_empty = empty_arg ("sylvester", b_nr, b_nc);
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83 int arg_c_is_empty = empty_arg ("sylvester", c_nr, c_nc);
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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_is_empty > 0 && arg_b_is_empty > 0 && arg_c_is_empty > 0)
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90 if (isfloat)
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91 return ovl (FloatMatrix ());
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92 else
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93 return ovl (Matrix ());
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94 else if (arg_a_is_empty || arg_b_is_empty || arg_c_is_empty)
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95 return retval;
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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.is_complex_type ()
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109 || arg_b.is_complex_type ()
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110 || arg_c.is_complex_type ())
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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.is_complex_type ()
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134 || arg_b.is_complex_type ()
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135 || arg_c.is_complex_type ())
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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]), [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))
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172 */