annotate libinterp/corefcn/sylvester.cc @ 20556:4bed806ee3d4

eliminate more simple uses of error_state * daspk.cc, dassl.cc, dot.cc, luinc.cc, sylvester.cc, variables.cc, __eigs__.cc: Eliminate simple uses of error_state.
author John W. Eaton <jwe@octave.org>
date Mon, 05 Oct 2015 20:21:55 -0400
parents 4197fc428c7d
children a542a9bf177e
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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 #ifdef 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 "gripes.h"
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32 #include "oct-obj.h"
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33 #include "utils.h"
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34
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35 DEFUN (sylvester, args, nargout,
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36 "-*- texinfo -*-\n\
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37 @deftypefn {Built-in Function} {@var{X} =} syl (@var{A}, @var{B}, @var{C})\n\
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38 Solve the Sylvester equation\n\
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39 @tex\n\
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40 $$\n\
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41 A X + X B = C\n\
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42 $$\n\
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43 @end tex\n\
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44 @ifnottex\n\
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45 \n\
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46 @example\n\
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47 A X + X B = C\n\
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48 @end example\n\
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49 \n\
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50 @end ifnottex\n\
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51 using standard @sc{lapack} subroutines.\n\
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52 \n\
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53 For example:\n\
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54 \n\
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55 @example\n\
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56 @group\n\
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57 sylvester ([1, 2; 3, 4], [5, 6; 7, 8], [9, 10; 11, 12])\n\
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58 @result{} [ 0.50000, 0.66667; 0.66667, 0.50000 ]\n\
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59 @end group\n\
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60 @end example\n\
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61 @end deftypefn")
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62 {
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63 octave_value retval;
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64
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65 int nargin = args.length ();
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66
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67 if (nargin != 3 || nargout > 1)
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68 {
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69 print_usage ();
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70 return retval;
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71 }
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72
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73 octave_value arg_a = args(0);
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74 octave_value arg_b = args(1);
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75 octave_value arg_c = args(2);
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76
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77 octave_idx_type a_nr = arg_a.rows ();
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78 octave_idx_type a_nc = arg_a.columns ();
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79
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80 octave_idx_type b_nr = arg_b.rows ();
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81 octave_idx_type b_nc = arg_b.columns ();
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82
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83 octave_idx_type c_nr = arg_c.rows ();
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84 octave_idx_type c_nc = arg_c.columns ();
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85
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86 int arg_a_is_empty = empty_arg ("sylvester", a_nr, a_nc);
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87 int arg_b_is_empty = empty_arg ("sylvester", b_nr, b_nc);
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88 int arg_c_is_empty = empty_arg ("sylvester", c_nr, c_nc);
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89
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90 bool isfloat = arg_a.is_single_type ()
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91 || arg_b.is_single_type ()
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92 || arg_c.is_single_type ();
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93
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94 if (arg_a_is_empty > 0 && arg_b_is_empty > 0 && arg_c_is_empty > 0)
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95 if (isfloat)
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96 return octave_value (FloatMatrix ());
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97 else
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98 return octave_value (Matrix ());
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99 else if (arg_a_is_empty || arg_b_is_empty || arg_c_is_empty)
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100 return retval;
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101
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102 // Arguments are not empty, so check for correct dimensions.
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103
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104 if (a_nr != a_nc)
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105 {
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106 gripe_square_matrix_required ("sylvester: input A");
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107 return retval;
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108 }
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109 else if (b_nr != b_nc)
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110 {
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111 gripe_square_matrix_required ("sylvester: input B");
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112 return retval;
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113 }
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114 else if (a_nr != c_nr || b_nr != c_nc)
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115 {
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116 gripe_nonconformant ();
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117 return retval;
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118 }
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119
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120 if (isfloat)
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121 {
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122 if (arg_a.is_complex_type ()
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123 || arg_b.is_complex_type ()
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124 || arg_c.is_complex_type ())
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125 {
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126 // Do everything in complex arithmetic;
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127
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128 FloatComplexMatrix ca = arg_a.float_complex_matrix_value ();
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129 FloatComplexMatrix cb = arg_b.float_complex_matrix_value ();
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130 FloatComplexMatrix cc = arg_c.float_complex_matrix_value ();
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131
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132 retval = Sylvester (ca, cb, cc);
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133 }
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134 else
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135 {
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136 // Do everything in real arithmetic.
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137
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138 FloatMatrix ca = arg_a.float_matrix_value ();
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139 FloatMatrix cb = arg_b.float_matrix_value ();
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140 FloatMatrix cc = arg_c.float_matrix_value ();
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141
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142 retval = Sylvester (ca, cb, cc);
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143 }
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144 }
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145 else
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146 {
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147 if (arg_a.is_complex_type ()
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148 || arg_b.is_complex_type ()
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149 || arg_c.is_complex_type ())
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150 {
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151 // Do everything in complex arithmetic;
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152
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153 ComplexMatrix ca = arg_a.complex_matrix_value ();
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154 ComplexMatrix cb = arg_b.complex_matrix_value ();
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155 ComplexMatrix cc = arg_c.complex_matrix_value ();
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156
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157 retval = Sylvester (ca, cb, cc);
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158 }
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159 else
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160 {
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161 // Do everything in real arithmetic.
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162
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163 Matrix ca = arg_a.matrix_value ();
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164 Matrix cb = arg_b.matrix_value ();
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165 Matrix cc = arg_c.matrix_value ();
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166
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167 retval = Sylvester (ca, cb, cc);
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168 }
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169 }
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170
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171 return retval;
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172 }
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173
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174 /*
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175 %!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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176 %!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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177
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178 %% Test input validation
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179 %!error sylvester ()
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180 %!error sylvester (1)
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181 %!error sylvester (1,2)
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182 %!error sylvester (1, 2, 3, 4)
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183 %!error <input A: .* must be a square matrix> sylvester (ones (2,3), ones (2,2), ones (2,2))
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184 %!error <input B: .* must be a square matrix> sylvester (ones (2,2), ones (2,3), ones (2,2))
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185 %!error <nonconformant matrices> sylvester (ones (2,2), ones (2,2), ones (3,3))
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186 */