models/test/hires.a4c

REQUIRE "ivpsystem.a4l";
REQUIRE "atoms.a4l";
(*
	Sample problem 'HIRES' from the parallel-IVP-algorithm group of CWI:
	'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-8;
		ASSERT abs(y[2] - 0.1442485726316185e-3) < 1e-8;
		ASSERT abs(y[3] - 0.5888729740967575e-4) < 1e-8;
		ASSERT abs(y[4] - 0.1175651343283149e-2) < 1e-8;
		ASSERT abs(y[5] - 0.2386356198831331e-2) < 1e-8;
		ASSERT abs(y[6] - 0.6238968252742796e-2) < 1e-8;
		ASSERT abs(y[7] - 0.2849998395185769e-2) < 1e-8;
		ASSERT abs(y[8] - 0.2850001604814231e-2) < 1e-8;
	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	johnpye	1247	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] = -1.71y[1] + 0.43y[2] + 8.32*y[3] + 0.0007;
20
21			f2: dy_dt[2] = 1.71y[1] - 8.75y[2];
22
23			f3: dy_dt[3] = -10.03y[3] + 0.43y[4] + 0.035*y[5];
24
25			f4: dy_dt[4] = 8.32y[2] + 1.71y[3] - 1.12*y[4];
26
27			f5: dy_dt[5] = -1.745y[5] + 0.43y[6] +0.43*y[7];
28
29			f6: dy_dt[6] = -280y[6]y[8] + 0.69y[4] + 1.71y[5] - 0.43y[6] + 0.69y[7];
30
31			f7: dy_dt[7] = 280y[6]y[8] - 1.81*y[7];
32
33			f8: dy_dt[8] = -280y[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-8;
57			ASSERT abs(y[2] - 0.1442485726316185e-3) < 1e-8;
58			ASSERT abs(y[3] - 0.5888729740967575e-4) < 1e-8;
59			ASSERT abs(y[4] - 0.1175651343283149e-2) < 1e-8;
60			ASSERT abs(y[5] - 0.2386356198831331e-2) < 1e-8;
61			ASSERT abs(y[6] - 0.6238968252742796e-2) < 1e-8;
62			ASSERT abs(y[7] - 0.2849998395185769e-2) < 1e-8;
63			ASSERT abs(y[8] - 0.2850001604814231e-2) < 1e-8;
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;
73