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load('rope-convergence.txt');
rope_convergence = sortrows(rope_convergence);
i = rope_convergence(:,1);
err = rope_convergence(:,2);
sigma = rope_convergence(:,3);
group = [
1 * ones(sum(i == 1), 1)
2 * ones(sum(i == 2), 1)
3 * ones(sum(i == 3), 1)
4 * ones(sum(i == 4), 1)
5 * ones(sum(i == 5), 1)
6 * ones(sum(i == 6), 1)
7 * ones(sum(i == 7), 1)
8 * ones(sum(i == 8), 1)
9 * ones(sum(i == 9), 1)
10 * ones(sum(i == 10), 1)
11 * ones(sum(i == 11), 1)
12 * ones(sum(i == 12), 1)
13 * ones(sum(i == 13), 1)
14 * ones(sum(i == 14), 1)
15 * ones(sum(i == 15), 1)
16 * ones(sum(i == 16), 1)
17 * ones(sum(i == 17), 1)
18 * ones(sum(i == 18), 1)
19 * ones(sum(i == 19), 1)
20 * ones(sum(i == 20), 1)
21 * ones(sum(i == 21), 1)
22 * ones(sum(i == 22), 1)
23 * ones(sum(i == 23), 1)
24 * ones(sum(i == 24), 1)
25 * ones(sum(i == 25), 1)
26 * ones(sum(i == 26), 1)
27 * ones(sum(i == 27), 1)
28 * ones(sum(i == 28), 1)
29 * ones(sum(i == 29), 1)
30 * ones(sum(i == 30), 1)
31 * ones(sum(i == 31), 1)
32 * ones(sum(i == 32), 1)
33 * ones(sum(i == 33), 1)
34 * ones(sum(i == 34), 1)
35 * ones(sum(i == 35), 1)
36 * ones(sum(i == 36), 1)
37 * ones(sum(i == 37), 1)
38 * ones(sum(i == 38), 1)
39 * ones(sum(i == 39), 1)
40 * ones(sum(i == 40), 1)
41 * ones(sum(i == 41), 1)
42 * ones(sum(i == 42), 1)
43 * ones(sum(i == 43), 1)
44 * ones(sum(i == 44), 1)
45 * ones(sum(i == 45), 1)
46 * ones(sum(i == 46), 1)
47 * ones(sum(i == 47), 1)
48 * ones(sum(i == 48), 1)
49 * ones(sum(i == 49), 1)
50 * ones(sum(i == 50), 1)
51 * ones(sum(i == 51), 1)
52 * ones(sum(i == 52), 1)
53 * ones(sum(i == 53), 1)
54 * ones(sum(i == 54), 1)
55 * ones(sum(i == 55), 1)
56 * ones(sum(i == 56), 1)
57 * ones(sum(i == 57), 1)
58 * ones(sum(i == 58), 1)
59 * ones(sum(i == 59), 1)
60 * ones(sum(i == 60), 1)
61 * ones(sum(i == 61), 1)
62 * ones(sum(i == 62), 1)
63 * ones(sum(i == 63), 1)
64 * ones(sum(i == 64), 1)
65 * ones(sum(i == 65), 1)
66 * ones(sum(i == 66), 1)
67 * ones(sum(i == 67), 1)
68 * ones(sum(i == 68), 1)
69 * ones(sum(i == 69), 1)
70 * ones(sum(i == 70), 1)
71 * ones(sum(i == 71), 1)
72 * ones(sum(i == 72), 1)
73 * ones(sum(i == 73), 1)
74 * ones(sum(i == 74), 1)
75 * ones(sum(i == 75), 1)
76 * ones(sum(i == 76), 1)
77 * ones(sum(i == 77), 1)
78 * ones(sum(i == 78), 1)
79 * ones(sum(i == 79), 1)
80 * ones(sum(i == 80), 1)
81 * ones(sum(i == 81), 1)
82 * ones(sum(i == 82), 1)
83 * ones(sum(i == 83), 1)
84 * ones(sum(i == 84), 1)
85 * ones(sum(i == 85), 1)
86 * ones(sum(i == 86), 1)
87 * ones(sum(i == 87), 1)
88 * ones(sum(i == 88), 1)
89 * ones(sum(i == 89), 1)
90 * ones(sum(i == 90), 1)
91 * ones(sum(i == 91), 1)
92 * ones(sum(i == 92), 1)
93 * ones(sum(i == 93), 1)
94 * ones(sum(i == 94), 1)
95 * ones(sum(i == 95), 1)
96 * ones(sum(i == 96), 1)
97 * ones(sum(i == 97), 1)
98 * ones(sum(i == 98), 1)
99 * ones(sum(i == 99), 1)
100 * ones(sum(i == 100), 1)
101 * ones(sum(i == 101), 1)
102 * ones(sum(i == 102), 1)
103 * ones(sum(i == 103), 1)
104 * ones(sum(i == 104), 1)
105 * ones(sum(i == 105), 1)
106 * ones(sum(i == 106), 1)
107 * ones(sum(i == 107), 1)
108 * ones(sum(i == 108), 1)
109 * ones(sum(i == 109), 1)
110 * ones(sum(i == 110), 1)
111 * ones(sum(i == 111), 1)
112 * ones(sum(i == 112), 1)
113 * ones(sum(i == 113), 1)
114 * ones(sum(i == 114), 1)
115 * ones(sum(i == 115), 1)
116 * ones(sum(i == 116), 1)
117 * ones(sum(i == 117), 1)
118 * ones(sum(i == 118), 1)
119 * ones(sum(i == 119), 1)
120 * ones(sum(i == 120), 1)
121 * ones(sum(i == 121), 1)
122 * ones(sum(i == 122), 1)
123 * ones(sum(i == 123), 1)
124 * ones(sum(i == 124), 1)
125 * ones(sum(i == 125), 1)
126 * ones(sum(i == 126), 1)
127 * ones(sum(i == 127), 1)
128 * ones(sum(i == 128), 1)
129 * ones(sum(i == 129), 1)
130 * ones(sum(i == 130), 1)
131 * ones(sum(i == 131), 1)
132 * ones(sum(i == 132), 1)
133 * ones(sum(i == 133), 1)
134 * ones(sum(i == 134), 1)
135 * ones(sum(i == 135), 1)
136 * ones(sum(i == 136), 1)
137 * ones(sum(i == 137), 1)
138 * ones(sum(i == 138), 1)
139 * ones(sum(i == 139), 1)
140 * ones(sum(i == 140), 1)
141 * ones(sum(i == 141), 1)
142 * ones(sum(i == 142), 1)
143 * ones(sum(i == 143), 1)
144 * ones(sum(i == 144), 1)
145 * ones(sum(i == 145), 1)
146 * ones(sum(i == 146), 1)
147 * ones(sum(i == 147), 1)
148 * ones(sum(i == 148), 1)
149 * ones(sum(i == 149), 1)
150 * ones(sum(i == 150), 1)
151 * ones(sum(i == 151), 1)
152 * ones(sum(i == 152), 1)
153 * ones(sum(i == 153), 1)
154 * ones(sum(i == 154), 1)
155 * ones(sum(i == 155), 1)
156 * ones(sum(i == 156), 1)
157 * ones(sum(i == 157), 1)
158 * ones(sum(i == 158), 1)
159 * ones(sum(i == 159), 1)
160 * ones(sum(i == 160), 1)
161 * ones(sum(i == 161), 1)
162 * ones(sum(i == 162), 1)
163 * ones(sum(i == 163), 1)
164 * ones(sum(i == 164), 1)
165 * ones(sum(i == 165), 1)
166 * ones(sum(i == 166), 1)
167 * ones(sum(i == 167), 1)
168 * ones(sum(i == 168), 1)
169 * ones(sum(i == 169), 1)
170 * ones(sum(i == 170), 1)
171 * ones(sum(i == 171), 1)
172 * ones(sum(i == 172), 1)
173 * ones(sum(i == 173), 1)
174 * ones(sum(i == 174), 1)
175 * ones(sum(i == 175), 1)
176 * ones(sum(i == 176), 1)
177 * ones(sum(i == 177), 1)
178 * ones(sum(i == 178), 1)
179 * ones(sum(i == 179), 1)
180 * ones(sum(i == 180), 1)
181 * ones(sum(i == 181), 1)
182 * ones(sum(i == 182), 1)
183 * ones(sum(i == 183), 1)
184 * ones(sum(i == 184), 1)
185 * ones(sum(i == 185), 1)
186 * ones(sum(i == 186), 1)
187 * ones(sum(i == 187), 1)
188 * ones(sum(i == 188), 1)
189 * ones(sum(i == 189), 1)
190 * ones(sum(i == 190), 1)
191 * ones(sum(i == 191), 1)
192 * ones(sum(i == 192), 1)
193 * ones(sum(i == 193), 1)
194 * ones(sum(i == 194), 1)
195 * ones(sum(i == 195), 1)
196 * ones(sum(i == 196), 1)
197 * ones(sum(i == 197), 1)
198 * ones(sum(i == 198), 1)
199 * ones(sum(i == 199), 1)
200 * ones(sum(i == 200), 1)
201 * ones(sum(i == 201), 1)
202 * ones(sum(i == 202), 1)
203 * ones(sum(i == 203), 1)
204 * ones(sum(i == 204), 1)
205 * ones(sum(i == 205), 1)
206 * ones(sum(i == 206), 1)
207 * ones(sum(i == 207), 1)
208 * ones(sum(i == 208), 1)
209 * ones(sum(i == 209), 1)
210 * ones(sum(i == 210), 1)
211 * ones(sum(i == 211), 1)
212 * ones(sum(i == 212), 1)
213 * ones(sum(i == 213), 1)
214 * ones(sum(i == 214), 1)
215 * ones(sum(i == 215), 1)
216 * ones(sum(i == 216), 1)
217 * ones(sum(i == 217), 1)
218 * ones(sum(i == 218), 1)
219 * ones(sum(i == 219), 1)
220 * ones(sum(i == 220), 1)
221 * ones(sum(i == 221), 1)
222 * ones(sum(i == 222), 1)
223 * ones(sum(i == 223), 1)
224 * ones(sum(i == 224), 1)
225 * ones(sum(i == 225), 1)
226 * ones(sum(i == 226), 1)
227 * ones(sum(i == 227), 1)
228 * ones(sum(i == 228), 1)
229 * ones(sum(i == 229), 1)
230 * ones(sum(i == 230), 1)
231 * ones(sum(i == 231), 1)
232 * ones(sum(i == 232), 1)
233 * ones(sum(i == 233), 1)
234 * ones(sum(i == 234), 1)
235 * ones(sum(i == 235), 1)
236 * ones(sum(i == 236), 1)
237 * ones(sum(i == 237), 1)
238 * ones(sum(i == 238), 1)
239 * ones(sum(i == 239), 1)
240 * ones(sum(i == 240), 1)
241 * ones(sum(i == 241), 1)
242 * ones(sum(i == 242), 1)
243 * ones(sum(i == 243), 1)
244 * ones(sum(i == 244), 1)
245 * ones(sum(i == 245), 1)
246 * ones(sum(i == 246), 1)
247 * ones(sum(i == 247), 1)
248 * ones(sum(i == 248), 1)
249 * ones(sum(i == 249), 1)
250 * ones(sum(i == 250), 1)
251 * ones(sum(i == 251), 1)
252 * ones(sum(i == 252), 1)
253 * ones(sum(i == 253), 1)
254 * ones(sum(i == 254), 1)
255 * ones(sum(i == 255), 1)
256 * ones(sum(i == 256), 1)
257 * ones(sum(i == 257), 1)
258 * ones(sum(i == 258), 1)
259 * ones(sum(i == 259), 1)
260 * ones(sum(i == 260), 1)
261 * ones(sum(i == 261), 1)
262 * ones(sum(i == 262), 1)
263 * ones(sum(i == 263), 1)
264 * ones(sum(i == 264), 1)
265 * ones(sum(i == 265), 1)
266 * ones(sum(i == 266), 1)
267 * ones(sum(i == 267), 1)
268 * ones(sum(i == 268), 1)
269 * ones(sum(i == 269), 1)
270 * ones(sum(i == 270), 1)
271 * ones(sum(i == 271), 1)
272 * ones(sum(i == 272), 1)
273 * ones(sum(i == 273), 1)
274 * ones(sum(i == 274), 1)
275 * ones(sum(i == 275), 1)
276 * ones(sum(i == 276), 1)
277 * ones(sum(i == 277), 1)
278 * ones(sum(i == 278), 1)
279 * ones(sum(i == 279), 1)
280 * ones(sum(i == 280), 1)
281 * ones(sum(i == 281), 1)
282 * ones(sum(i == 282), 1)
283 * ones(sum(i == 283), 1)
284 * ones(sum(i == 284), 1)
285 * ones(sum(i == 285), 1)
286 * ones(sum(i == 286), 1)
287 * ones(sum(i == 287), 1)
288 * ones(sum(i == 288), 1)
289 * ones(sum(i == 289), 1)
290 * ones(sum(i == 290), 1)
291 * ones(sum(i == 291), 1)
292 * ones(sum(i == 292), 1)
293 * ones(sum(i == 293), 1)
294 * ones(sum(i == 294), 1)
295 * ones(sum(i == 295), 1)
296 * ones(sum(i == 296), 1)
297 * ones(sum(i == 297), 1)
298 * ones(sum(i == 298), 1)
299 * ones(sum(i == 299), 1)
300 * ones(sum(i == 300), 1)
];
% figure(1);
% boxplot(err, group);
% title('Convergence of error over number of iterations');
% xlabel('Number of iterations n'), ylabel('Absolute error \delta_n');
%
% figure(2);
% boxplot(sigma, group);
% title('Change in constraint force');
% xlabel('Number of iterations n'), ylabel('\sigma');
[fitresult, gof] = createfit(i, log(err));
fitresult
xlabel('Antal iterationer n'), ylabel('ln \delta'),
legend('ln \delta', 'Linjär anpassning');
f = 50:10:100;
timesteps = 1./f;