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
|
#include <2geom/piecewise.h>
#include <2geom/sbasis.h>
#include <2geom/sbasis-math.h>
#include <2geom/bezier-to-sbasis.h>
#include <toys/path-cairo.h>
#include <toys/toy-framework-2.h>
#include <vector>
using namespace Geom;
using namespace std;
void cairo_pw(cairo_t *cr, Piecewise<SBasis> p) {
for(unsigned i = 0; i < p.size(); i++) {
D2<SBasis> B;
B[0] = Linear(p.cuts[i], p.cuts[i+1]);
B[1] = p[i];
cairo_d2_sb(cr, B);
}
}
void cairo_horiz(cairo_t *cr, double y, vector<double> p) {
for(double i : p) {
cairo_move_to(cr, i, y);
cairo_rel_line_to(cr, 0, 10);
}
}
void cairo_vert(cairo_t *cr, double x, vector<double> p) {
for(double i : p) {
cairo_move_to(cr, x, i);
cairo_rel_line_to(cr, 10, 0);
}
}
Piecewise<SBasis> log(Interval in) {
Piecewise<SBasis> I = integral(Geom::reciprocal(Linear(in.min(), in.max())));
return I + Piecewise<SBasis> (-I.segs[0][0] + log(in.min()));
}
Piecewise<SBasis> xlogx(Interval in) {
Piecewise<SBasis> I = integral(log(in) + Piecewise<SBasis>(1));
return I + Piecewise<SBasis> (-I.segs[0][0] + in.min()*log(in.min()));
}
class PwToy: public Toy {
void draw(cairo_t *cr, std::ostringstream *notify, int width, int height, bool save, std::ostringstream *timer_stream) override {
cairo_set_source_rgba (cr, 0., 0., 0., 1);
cairo_set_line_width (cr, 1);
Piecewise<SBasis> pws;
//pws = Geom::cos(Linear(0,100)) + 3;
pws = Geom::sqrt(Linear(0,100));
//pws = log(Interval(1,8));
//Piecewise<SBasis> l(Linear(-100,100));
//Piecewise<SBasis> one(Linear(1,1));
//pws = Geom::reciprocal(l*l + one)*l + l;
//pws = xlogx(Interval(0.5,3));
//pws = Geom::reciprocal(pws);
//pws = -integral(Geom::reciprocal(Linear(1,2)))*Piecewise<SBasis>(Linear(1,2));
pws = -pws*width/4 + width/2;
pws.scaleDomain(width/2);
pws.offsetDomain(width/4);
cairo_pw(cr, pws);
cairo_stroke(cr);
cairo_set_source_rgba (cr, 0., 0., .5, 1.);
cairo_horiz(cr, 500, pws.cuts);
cairo_stroke(cr);
*notify << "total pieces: " << pws.size();
Toy::draw(cr, notify, width, height, save,timer_stream);
}
bool should_draw_numbers() override { return false; }
int should_draw_bounds() override { return 2; }
public:
PwToy () {}
};
int main(int argc, char **argv) {
init(argc, argv, new PwToy());
return 0;
}
/*
Local Variables:
mode:c++
c-file-style:"stroustrup"
c-file-offsets:((innamespace . 0)(inline-open . 0)(case-label . +))
indent-tabs-mode:nil
fill-column:99
End:
*/
// vim: filetype=cpp:expandtab:shiftwidth=4:tabstop=4:softtabstop=4:fileencoding=utf-8:textwidth=99 :
|