1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
|
/*27:*/
#line 80 "./lotkavolterra2.w"
#include <fstream>
#include "vnode.h"
using namespace std;
using namespace vnodelp;
/*20:*/
#line 6 "./lotkavolterra2.w"
/*19:*/
#line 76 "./usage.w"
template<typename var_type>
void lotkavolterra2(int n,var_type*yp,
const var_type*y,
var_type t,void*param)
{
yp[0]= (1-0.01*y[1])*y[0];
yp[1]= (-1+0.02*y[0])*y[1];
}
#line 1 "./lotkavolterra2.w"
/*:19*/
#line 7 "./lotkavolterra2.w"
int main()
{
/*21:*/
#line 24 "./lotkavolterra2.w"
const int n= 2;
interval t= 0.0,tend= 2;
iVector y(n);
//interval ci1 = interval(49.5, 50.5);
//interval ci2 = interval(49.5, 50.5);
//y[0]= ci1;
//y[1]= ci2;
y[0]= 50.0;
y[1]= 50.0;
/*:21*/
#line 10 "./lotkavolterra2.w"
/*22:*/
#line 41 "./lotkavolterra2.w"
AD*ad= new FADBAD_AD(n,lotkavolterra2,lotkavolterra2);
/*:22*/
#line 11 "./lotkavolterra2.w"
/*23:*/
#line 48 "./lotkavolterra2.w"
VNODE*Solver= new VNODE(ad);
/*:23*/
#line 12 "./lotkavolterra2.w"
/*24:*/
#line 57 "./lotkavolterra2.w"
interval step= string_to_interval("0.1");
tend= 0.0;
for(int i= 1;i<=20;i++)
{
tend+= step;
Solver->integrate(t,y,tend);
/*26:*/
#line 67 "./basic.w"
ofstream outFile1("lorenz.tight",ios::out);
outFile1<<"Solution enclosure at t = "<<t<<endl<<"\t";
cout<<"Solution enclosure at t = "<<t<<endl;
printVector(y);
/*:26*/
#line 19 "./intermed.w"
}
tend= 2.1;
Solver->integrate(t,y,tend);
/*26:*/
#line 67 "./basic.w"
cout<<"Solution enclosure at t = "<<t<<endl;
printVector(y);
/*:24*/
#line 13 "./lotkavolterra2.w"
/*25:*/
#line 62 "./lotkavolterra2.w"
if(!Solver->successful())
cout<<"VNODE-LP could not reach t = "<<tend<<endl;
/*:25*/
#line 14 "./lotkavolterra2.w"
/*26:*/
#line 67 "./lotkavolterra2.w"
cout<<"Solution enclosure at t = "<<t<<endl;
printVector(y);
/*:26*/
#line 15 "./lotkavolterra2.w"
return 0;
}
/*:20*/
#line 86 "./lotkavolterra2.w"
/*:27*/ |
