11 {
14
15 double DeltaX = dc2.x() - dc1.x();
16 double DeltaY = dc2.y() - dc1.y();
17 double DistanceOfCenters = std::hypot(DeltaX, DeltaY);
18 if (DistanceOfCenters == 0.) {
19 std::cout << " TangentToCircles::tangentLines >>> ERROR same tube on input " << std::endl;
21 }
22 double Alpha0 = std::atan2(DeltaY, DeltaX);
23
24
25 if (dc1.r() == 0. && dc2.r() == 0.) {
26 lines.emplace_back(dc1.position(), Alpha0);
28 }
29
30
31 double RSum = dc1.r() + dc2.r();
32
33 double ratio = RSum / DistanceOfCenters;
34 if (std::abs(ratio) > 1.)
return lines;
35
36 double Alpha1 = std::asin(ratio);
37
38 double line_phi = Alpha0 + Alpha1;
39 LocVec2D pos1(dc1.x() + dc1.r() * std::sin(line_phi), dc1.y() - dc1.r() * std::cos(line_phi));
40 lines.emplace_back(pos1, line_phi);
41
42 line_phi = Alpha0 - Alpha1;
43 LocVec2D pos2(dc1.x() - dc1.r() * std::sin(line_phi), dc1.y() + dc1.r() * std::cos(line_phi));
44 lines.emplace_back(pos2, line_phi);
45
46
47 if (dc1.r() == 0. || dc2.r() == 0.)
return lines;
48
49
50 double DeltaR = std::abs(dc2.r() - dc1.r());
51
53 if (std::abs(ratio) > 1.)
return lines;
54
55 double Alpha2 = asin(ratio);
56
57 if (dc1.r() < dc2.r()) {
58 line_phi = Alpha0 + Alpha2;
59 LocVec2D pos3(dc1.x() - dc1.r() *
sin(line_phi), dc1.y() + dc1.r() *
cos(line_phi));
60 lines.emplace_back(pos3, line_phi);
61
62 line_phi = Alpha0 - Alpha2;
63 LocVec2D pos4(dc1.x() + dc1.r() * std::sin(line_phi), dc1.y() - dc1.r() * std::cos(line_phi));
64 lines.emplace_back(pos4, line_phi);
65
66 } else {
67 line_phi = Alpha0 + Alpha2;
68 LocVec2D pos3(dc1.x() + dc1.r() * std::sin(line_phi), dc1.y() - dc1.r() * std::cos(line_phi));
69 lines.emplace_back(pos3, line_phi);
70
71 line_phi = Alpha0 - Alpha2;
72 LocVec2D pos4(dc1.x() - dc1.r() * std::sin(line_phi), dc1.y() + dc1.r() * std::cos(line_phi));
73 lines.emplace_back(pos4, line_phi);
74 }
76 }
std::vector< Line > LineVec