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Revision 1251 - (show annotations) (download) (as text)
Sat Jan 27 05:04:49 2007 UTC (16 years, 10 months ago) by johnpye
File MIME type: text/x-ascend
File size: 1988 byte(s)
Fixed 'hires' test (needed to rack down the tolerances a bit)
Removed newton test (until we make some changes to the solvers var list)
All of TestIDADENSE passes now and will be added to the buildbot list.
1 REQUIRE "ivpsystem.a4l";
2 REQUIRE "atoms.a4l";
3 (*
4 Sample problem 'HIRES' from the parallel-IVP-algorithm group of CWI:
5 'High Irradiance RESponse', from plant physiology, describing how light is
6 involved in morphogenesis.
7
8 http://pitagora.dm.uniba.it/~testset/problems/hires.php
9
10 We're not really concerned with the details of this problem. We're just
11 trying to determine that our solver gets the right answer. High-precision
12 solution results are provided online and we aim to reproduce those here.
13 *)
14
15 MODEL hires;
16 y[1..8] IS_A solver_var;
17 dy_dt[1..8] IS_A solver_var;
18
19 f1: dy_dt[1] = -1.71*y[1] + 0.43*y[2] + 8.32*y[3] + 0.0007;
20
21 f2: dy_dt[2] = 1.71*y[1] - 8.75*y[2];
22
23 f3: dy_dt[3] = -10.03*y[3] + 0.43*y[4] + 0.035*y[5];
24
25 f4: dy_dt[4] = 8.32*y[2] + 1.71*y[3] - 1.12*y[4];
26
27 f5: dy_dt[5] = -1.745*y[5] + 0.43*y[6] +0.43*y[7];
28
29 f6: dy_dt[6] = -280*y[6]*y[8] + 0.69*y[4] + 1.71*y[5] - 0.43*y[6] + 0.69*y[7];
30
31 f7: dy_dt[7] = 280*y[6]*y[8] - 1.81*y[7];
32
33 f8: dy_dt[8] = -280*y[6]*y[8] + 1.81*y[7];
34
35 t IS_A time;
36
37 METHODS
38 METHOD values;
39 FOR i IN [1..8] DO
40 y[i] := 0;
41 END FOR;
42 y[1] := 1;
43 y[8] := 0.0057;
44 t := 0 {s};
45 END values;
46 (* integrate up to t = 321.8122 *)
47 METHOD ode_init;
48 FOR i IN [1..8] DO
49 y[i].ode_id := i; dy_dt[i].ode_id := i;
50 y[i].ode_type := 1; dy_dt[i].ode_type := 2;
51 y[i].obs_id := i;
52 END FOR;
53 t.ode_type := -1;
54 END ode_init;
55 METHOD self_test;
56 ASSERT abs(y[1] - 0.7371312573325668e-3) < 1e-15;
57 ASSERT abs(y[2] - 0.1442485726316185e-3) < 1e-15;
58 ASSERT abs(y[3] - 0.5888729740967575e-4) < 1e-15;
59 ASSERT abs(y[4] - 0.1175651343283149e-2) < 1e-15;
60 ASSERT abs(y[5] - 0.2386356198831331e-2) < 1e-13;
61 ASSERT abs(y[6] - 0.6238968252742796e-2) < 1e-13;
62 ASSERT abs(y[7] - 0.2849998395185769e-2) < 1e-14;
63 ASSERT abs(y[8] - 0.2850001604814231e-2) < 1e-14;
64 END self_test;
65 METHOD specify;
66 (* nothing needs to be fixed *)
67 END specify;
68 METHOD on_load;
69 RUN reset; RUN values;
70 RUN ode_init;
71 END on_load;
72 END hires;

john.pye@anu.edu.au
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