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1 ## Copyright (C) 2006, 2007 John W. Eaton |
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2 ## |
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3 ## This file is part of Octave. |
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4 ## |
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5 ## Octave is free software; you can redistribute it and/or modify it |
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6 ## under the terms of the GNU General Public License as published by |
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7 ## the Free Software Foundation; either version 3 of the License, or (at |
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8 ## your option) any later version. |
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9 ## |
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10 ## Octave is distributed in the hope that it will be useful, but |
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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13 ## General Public License for more details. |
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14 ## |
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15 ## You should have received a copy of the GNU General Public License |
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16 ## along with Octave; see the file COPYING. If not, see |
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17 ## <http://www.gnu.org/licenses/>. |
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18 |
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19 %% Automatically generated from DejaGNU files |
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20 |
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21 %% test/octave.test/diffeq/lsode-1.m |
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22 %% dassl-1.m |
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23 %% |
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24 %% Test lsode() function |
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25 %% |
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26 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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27 %% Comalco Research and Technology |
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28 %% 20 May 1998 |
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29 %% |
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30 %% Problem |
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31 %% |
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32 %% y1' = -y2, y1(0) = 1 |
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33 %% y2' = y1, y2(0) = 0 |
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34 %% |
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35 %% Solution |
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36 %% |
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37 %% y1(t) = cos(t) |
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38 %% y2(t) = sin(t) |
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39 %!function xdot = f (x, t) |
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40 %! xdot = [-x(2); x(1)]; |
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41 %!test |
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42 %! |
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43 %! x0 = [1; 0]; |
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44 %! xdot0 = [0; 1]; |
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45 %! t = (0:1:10)'; |
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46 %! |
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47 %! tol = 500 * lsode_options ("relative tolerance"); |
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48 %! |
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49 %! |
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50 %! x = lsode ("f", x0, t); |
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51 %! |
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52 %! y = [cos(t), sin(t)]; |
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53 %! |
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54 %! assert(all (all (abs (x - y) < tol))); |
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55 |
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56 %% test/octave.test/diffeq/lsode-2.m |
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57 %!function xdotdot = f (x, t) |
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58 %! xdotdot = [x(2); -x(1)]; |
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59 %!test |
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60 %! |
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61 %! x0 = [1; 0]; |
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62 %! t = [0; 2*pi]; |
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63 %! tol = 100 * dassl_options ("relative tolerance"); |
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64 %! |
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65 %! x = lsode ("f", x0, t); |
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66 %! |
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67 %! y = [1, 0; 1, 0]; |
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68 %! |
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69 %! assert(all (all (abs (x - y) < tol))); |
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70 |
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71 %% test/octave.test/diffeq/lsode-3.m |
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72 %!function xdot = f (x, t) |
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73 %! xdot = x; |
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74 %!test |
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75 %! |
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76 %! x0 = 1; |
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77 %! t = [0; 1]; |
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78 %! tol = 100 * dassl_options ("relative tolerance"); |
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79 %! |
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80 %! x = lsode ("f", x0, t); |
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81 %! |
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82 %! y = [1; e]; |
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83 %! |
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84 %! assert(all (all (abs (x - y) < tol))); |
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85 |
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86 %% test/octave.test/diffeq/lsode_options-1.m |
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87 %!test |
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88 %! lsode_options ("absolute tolerance", eps); |
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89 %! assert(lsode_options ("absolute tolerance") == eps); |
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90 |
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91 %% test/octave.test/diffeq/lsode_options-3.m |
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92 %!error <Invalid call to lsode_options.*> lsode_options ("foo", 1, 2); |
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93 |
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94 %% test/octave.test/diffeq/dassl-1.m |
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95 %% dassl-1.m |
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96 %% |
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97 %% Test dassl() function |
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98 %% |
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99 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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100 %% Comalco Research and Technology |
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101 %% 20 May 1998 |
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102 %% |
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103 %% Problem |
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104 %% |
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105 %% y1' = -y2, y1(0) = 1 |
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106 %% y2' = y1, y2(0) = 0 |
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107 %% |
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108 %% Solution |
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109 %% |
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110 %% y1(t) = cos(t) |
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111 %% y2(t) = sin(t) |
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112 %!function res = f (x, xdot, t) |
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113 %! res = [xdot(1)+x(2); xdot(2)-x(1)]; |
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114 %!test |
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115 %! |
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116 %! x0 = [1; 0]; |
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117 %! xdot0 = [0; 1]; |
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118 %! t = (0:1:10)'; |
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119 %! |
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120 %! tol = 100 * dassl_options ("relative tolerance"); |
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121 %! |
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122 %! |
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123 %! [x, xdot] = dassl ("f", x0, xdot0, t); |
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124 %! |
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125 %! y = [cos(t), sin(t)]; |
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126 %! |
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127 %! assert(all (all (abs (x - y) < tol))); |
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128 |
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129 %% test/octave.test/diffeq/dassl-2.m |
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130 %% dassl-2.m |
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131 %% |
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132 %% Test dassl() function |
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133 %% |
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134 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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135 %% Comalco Research and Technology |
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136 %% 20 May 1998 |
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137 %% |
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138 %% Based on SLATEC quick check for DASSL by Linda Petzold |
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139 %% |
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140 %% Problem |
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141 %% |
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142 %% x1' + 10*x1 = 0, x1(0) = 1 |
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143 %% x1 + x2 = 1, x2(0) = 0 |
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144 %% |
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145 %% |
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146 %% Solution |
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147 %% |
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148 %% x1(t) = exp(-10*t) |
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149 %% x2(t) = 1 - x(1) |
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150 %!function res = f (x, xdot, t) |
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151 %! res = [xdot(1)+10*x(1); x(1)+x(2)-1]; |
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152 %!test |
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153 %! |
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154 %! x0 = [1; 0]; |
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155 %! xdot0 = [-10; 10]; |
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156 %! t = (0:0.2:1)'; |
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157 %! |
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158 %! tol = 500 * dassl_options ("relative tolerance"); |
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159 %! |
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160 %! |
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161 %! [x, xdot] = dassl ("f", x0, xdot0, t); |
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162 %! |
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163 %! y = [exp(-10*t), 1-exp(-10*t)]; |
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164 %! |
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165 %! assert(all (all (abs (x - y) < tol))); |
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166 |
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167 %% test/octave.test/diffeq/dassl_options-1.m |
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168 %!test |
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169 %! dassl_options ("absolute tolerance", eps); |
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170 %! assert(dassl_options ("absolute tolerance") == eps); |
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171 |
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172 %% test/octave.test/diffeq/dassl_options-3.m |
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173 %!error <Invalid call to dassl_options.*> dassl_options ("foo", 1, 2); |
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174 |
