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1 %% Automatically generated from DejaGNU files |
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2 |
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3 %% test/octave.test/diffeq/lsode-1.m |
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4 %% dassl-1.m |
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5 %% |
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6 %% Test lsode() function |
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7 %% |
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8 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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9 %% Comalco Research and Technology |
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10 %% 20 May 1998 |
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11 %% |
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12 %% Problem |
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13 %% |
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14 %% y1' = -y2, y1(0) = 1 |
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15 %% y2' = y1, y2(0) = 0 |
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16 %% |
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17 %% Solution |
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18 %% |
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19 %% y1(t) = cos(t) |
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20 %% y2(t) = sin(t) |
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21 %!function xdot = f (x, t) |
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22 %! xdot = [-x(2); x(1)]; |
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23 %!test |
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24 %! |
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25 %! x0 = [1; 0]; |
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26 %! xdot0 = [0; 1]; |
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27 %! t = (0:1:10)'; |
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28 %! |
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29 %! tol = 500 * lsode_options ("relative tolerance"); |
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30 %! |
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31 %! |
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32 %! x = lsode ("f", x0, t); |
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33 %! |
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34 %! y = [cos(t), sin(t)]; |
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35 %! |
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36 %! assert(all (all (abs (x - y) < tol))); |
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37 |
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38 %% test/octave.test/diffeq/lsode-2.m |
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39 %!function xdotdot = f (x, t) |
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40 %! xdotdot = [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 %! t = [0; 2*pi]; |
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45 %! tol = 100 * dassl_options ("relative tolerance"); |
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46 %! |
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47 %! x = lsode ("f", x0, t); |
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48 %! |
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49 %! y = [1, 0; 1, 0]; |
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50 %! |
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51 %! assert(all (all (abs (x - y) < tol))); |
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52 |
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53 %% test/octave.test/diffeq/lsode-3.m |
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54 %!function xdot = f (x, t) |
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55 %! xdot = x; |
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56 %!test |
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57 %! |
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58 %! x0 = 1; |
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59 %! t = [0; 1]; |
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60 %! tol = 100 * dassl_options ("relative tolerance"); |
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61 %! |
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62 %! x = lsode ("f", x0, t); |
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63 %! |
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64 %! y = [1; e]; |
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65 %! |
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66 %! assert(all (all (abs (x - y) < tol))); |
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67 |
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68 %% test/octave.test/diffeq/lsode_options-1.m |
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69 %!test |
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70 %! lsode_options ("absolute tolerance", eps); |
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71 %! assert(lsode_options ("absolute tolerance") == eps); |
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72 |
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73 %% test/octave.test/diffeq/lsode_options-2.m |
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74 %!error <Invalid call to lsode_options.*> lsode_options (); |
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75 |
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76 %% test/octave.test/diffeq/lsode_options-3.m |
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77 %!error <Invalid call to lsode_options.*> lsode_options ("foo", 1, 2); |
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78 |
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79 %% test/octave.test/diffeq/dassl-1.m |
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80 %% dassl-1.m |
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81 %% |
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82 %% Test dassl() function |
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83 %% |
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84 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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85 %% Comalco Research and Technology |
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86 %% 20 May 1998 |
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87 %% |
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88 %% Problem |
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89 %% |
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90 %% y1' = -y2, y1(0) = 1 |
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91 %% y2' = y1, y2(0) = 0 |
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92 %% |
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93 %% Solution |
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94 %% |
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95 %% y1(t) = cos(t) |
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96 %% y2(t) = sin(t) |
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97 %!function res = f (x, xdot, t) |
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98 %! res = [xdot(1)+x(2); xdot(2)-x(1)]; |
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99 %!test |
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100 %! |
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101 %! x0 = [1; 0]; |
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102 %! xdot0 = [0; 1]; |
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103 %! t = (0:1:10)'; |
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104 %! |
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105 %! tol = 100 * dassl_options ("relative tolerance"); |
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106 %! |
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107 %! |
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108 %! [x, xdot] = dassl ("f", x0, xdot0, t); |
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109 %! |
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110 %! y = [cos(t), sin(t)]; |
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111 %! |
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112 %! assert(all (all (abs (x - y) < tol))); |
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113 |
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114 %% test/octave.test/diffeq/dassl-2.m |
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115 %% dassl-2.m |
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116 %% |
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117 %% Test dassl() function |
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118 %% |
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119 %% Author: David Billinghurst (David.Billinghurst@riotinto.com.au) |
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120 %% Comalco Research and Technology |
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121 %% 20 May 1998 |
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122 %% |
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123 %% Based on SLATEC quick check for DASSL by Linda Petzold |
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124 %% |
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125 %% Problem |
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126 %% |
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127 %% x1' + 10*x1 = 0, x1(0) = 1 |
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128 %% x1 + x2 = 1, x2(0) = 0 |
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129 %% |
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130 %% |
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131 %% Solution |
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132 %% |
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133 %% x1(t) = exp(-10*t) |
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134 %% x2(t) = 1 - x(1) |
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135 %!function res = f (x, xdot, t) |
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136 %! res = [xdot(1)+10*x(1); x(1)+x(2)-1]; |
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137 %!test |
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138 %! |
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139 %! x0 = [1; 0]; |
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140 %! xdot0 = [-10; 10]; |
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141 %! t = (0:0.2:1)'; |
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142 %! |
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143 %! tol = 500 * dassl_options ("relative tolerance"); |
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144 %! |
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145 %! |
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146 %! [x, xdot] = dassl ("f", x0, xdot0, t); |
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147 %! |
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148 %! y = [exp(-10*t), 1-exp(-10*t)]; |
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149 %! |
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150 %! assert(all (all (abs (x - y) < tol))); |
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151 |
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152 %% test/octave.test/diffeq/dassl_options-1.m |
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153 %!test |
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154 %! dassl_options ("absolute tolerance", eps); |
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155 %! assert(dassl_options ("absolute tolerance") == eps); |
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156 |
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157 %% test/octave.test/diffeq/dassl_options-2.m |
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158 %!error <Invalid call to dassl_options.*> dassl_options (); |
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159 |
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160 %% test/octave.test/diffeq/dassl_options-3.m |
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161 %!error <Invalid call to dassl_options.*> dassl_options ("foo", 1, 2); |
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162 |
