models/test/hires.a4c

REQUIRE "ivpsystem.a4l";
REQUIRE "atoms.a4l";
(*
	Sample problem 'HIRES' from the Test Set for IVP Solvers

	'High Irradiance RESponse', from plant physiology, describing how light is
	involved in morphogenesis.

	http://pitagora.dm.uniba.it/~testset/problems/hires.php

	We're not really concerned with the details of this problem. We're just	
	trying to determine that our solver gets the right answer.	High-precision
	solution results are provided online and we aim to reproduce those here.
*)

MODEL hires;
	y[1..8] IS_A solver_var;
	dy_dt[1..8] IS_A solver_var;

	f1: dy_dt[1] = -1.71*y[1] + 0.43*y[2] + 8.32*y[3] + 0.0007;
	
	f2: dy_dt[2] = 1.71*y[1] - 8.75*y[2];

	f3: dy_dt[3] = -10.03*y[3] + 0.43*y[4] + 0.035*y[5];
	
	f4: dy_dt[4] = 8.32*y[2] + 1.71*y[3] - 1.12*y[4];

	f5: dy_dt[5] = -1.745*y[5] + 0.43*y[6] +0.43*y[7];

	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];

	f7: dy_dt[7] = 280*y[6]*y[8] - 1.81*y[7];

	f8: dy_dt[8] = -280*y[6]*y[8] + 1.81*y[7];

	t IS_A time;

METHODS
	METHOD values;
		FOR i IN [1..8] DO
			y[i] := 0;
		END FOR;
		y[1] := 1;
		y[8] := 0.0057;
		t := 0 {s};
	END values;
	(* integrate up to t = 321.8122 *)
	METHOD ode_init;
		FOR i IN [1..8] DO
			y[i].ode_id := i; dy_dt[i].ode_id := i;
			y[i].ode_type := 1; dy_dt[i].ode_type := 2;
			y[i].obs_id := i;
		END FOR;
		t.ode_type := -1;
	END ode_init;
	METHOD self_test;
		ASSERT abs(y[1] - 0.7371312573325668e-3) < 1e-15;
		ASSERT abs(y[2] - 0.1442485726316185e-3) < 1e-15;
		ASSERT abs(y[3] - 0.5888729740967575e-4) < 1e-15;
		ASSERT abs(y[4] - 0.1175651343283149e-2) < 1e-15;
		ASSERT abs(y[5] - 0.2386356198831331e-2) < 1e-13;
		ASSERT abs(y[6] - 0.6238968252742796e-2) < 1e-13;
		ASSERT abs(y[7] - 0.2849998395185769e-2) < 1e-14;
		ASSERT abs(y[8] - 0.2850001604814231e-2) < 1e-14;
	END self_test;
	METHOD specify;
		(* nothing needs to be fixed *)
	END specify;
	METHOD on_load;
		RUN reset; RUN values;
		RUN ode_init;
	END on_load;
END hires;
1	REQUIRE "ivpsystem.a4l";
2	REQUIRE "atoms.a4l";
3	(*
4	Sample problem 'HIRES' from the Test Set for IVP Solvers
5
6	'High Irradiance RESponse', from plant physiology, describing how light is
7	involved in morphogenesis.
8
9	http://pitagora.dm.uniba.it/~testset/problems/hires.php
10
11	We're not really concerned with the details of this problem. We're just
12	trying to determine that our solver gets the right answer. High-precision
13	solution results are provided online and we aim to reproduce those here.
14	*)
15
16	MODEL hires;
17	y[1..8] IS_A solver_var;
18	dy_dt[1..8] IS_A solver_var;
19
20	f1: dy_dt[1] = -1.71y[1] + 0.43y[2] + 8.32*y[3] + 0.0007;
21
22	f2: dy_dt[2] = 1.71y[1] - 8.75y[2];
23
24	f3: dy_dt[3] = -10.03y[3] + 0.43y[4] + 0.035*y[5];
25
26	f4: dy_dt[4] = 8.32y[2] + 1.71y[3] - 1.12*y[4];
27
28	f5: dy_dt[5] = -1.745y[5] + 0.43y[6] +0.43*y[7];
29
30	f6: dy_dt[6] = -280y[6]y[8] + 0.69y[4] + 1.71y[5] - 0.43y[6] + 0.69y[7];
31
32	f7: dy_dt[7] = 280y[6]y[8] - 1.81*y[7];
33
34	f8: dy_dt[8] = -280y[6]y[8] + 1.81*y[7];
35
36	t IS_A time;
37
38	METHODS
39	METHOD values;
40	FOR i IN [1..8] DO
41	y[i] := 0;
42	END FOR;
43	y[1] := 1;
44	y[8] := 0.0057;
45	t := 0 {s};
46	END values;
47	(* integrate up to t = 321.8122 *)
48	METHOD ode_init;
49	FOR i IN [1..8] DO
50	y[i].ode_id := i; dy_dt[i].ode_id := i;
51	y[i].ode_type := 1; dy_dt[i].ode_type := 2;
52	y[i].obs_id := i;
53	END FOR;
54	t.ode_type := -1;
55	END ode_init;
56	METHOD self_test;
57	ASSERT abs(y[1] - 0.7371312573325668e-3) < 1e-15;
58	ASSERT abs(y[2] - 0.1442485726316185e-3) < 1e-15;
59	ASSERT abs(y[3] - 0.5888729740967575e-4) < 1e-15;
60	ASSERT abs(y[4] - 0.1175651343283149e-2) < 1e-15;
61	ASSERT abs(y[5] - 0.2386356198831331e-2) < 1e-13;
62	ASSERT abs(y[6] - 0.6238968252742796e-2) < 1e-13;
63	ASSERT abs(y[7] - 0.2849998395185769e-2) < 1e-14;
64	ASSERT abs(y[8] - 0.2850001604814231e-2) < 1e-14;
65	END self_test;
66	METHOD specify;
67	(* nothing needs to be fixed *)
68	END specify;
69	METHOD on_load;
70	RUN reset; RUN values;
71	RUN ode_init;
72	END on_load;
73	END hires;