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authorAlex Auvolat <alex.auvolat@ens.fr>2015-02-02 00:16:37 +0100
committerAlex Auvolat <alex.auvolat@ens.fr>2015-02-02 00:16:37 +0100
commit0ff287ed38956c0a15f2a8ab503cb1b8253f706d (patch)
treee36c38014845422fe1409e2b4068d0dae1de9442 /problem.cpp
parent8bc5afb4114e94e31efc7534a0e51952e551a57f (diff)
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Diffstat (limited to 'problem.cpp')
-rw-r--r--problem.cpp69
1 files changed, 45 insertions, 24 deletions
diff --git a/problem.cpp b/problem.cpp
index 5f774fd..31cebe7 100644
--- a/problem.cpp
+++ b/problem.cpp
@@ -80,7 +80,8 @@ bool hilare_a_mvt::intersects(const problem &p) const {
// IMPLEMENTATION FOR CLASS SOLUTION //
// ================================= //
-solution solution::direct_sol(const hilare_a &pos_a, const hilare_a &pos_b) {
+vector<solution> solution::direct_sol(const hilare_a &pos_a, const hilare_a &pos_b) {
+ vector<solution> ret;
// première famille de mouvements :
// - trouver les quatre droites tangentes aux deux cercles canoniques
@@ -127,34 +128,43 @@ solution solution::direct_sol(const hilare_a &pos_a, const hilare_a &pos_b) {
vec w = l.proj(ccb);
double domega1 = (v - cca).angle() - (pos_a.pos_trolley() - cca).angle();
+ if (domega1 > M_PI) domega1 -= 2 * M_PI;
+ if (domega1 < -M_PI) domega1 += 2 * M_PI;
double dtheta1 = pos_a.phi;
double dtheta2 = -pos_b.phi;
double domega2 = (pos_b.pos_trolley() - ccb).angle() - (w - ccb).angle();
+ if (domega2 > M_PI) domega2 -= 2 * M_PI;
+ if (domega2 < -M_PI) domega2 += 2 * M_PI;
+
double xx = pos_a.theta + domega1 + dtheta1 + dtheta2 + domega2 - pos_b.theta;
cout << "domega1: " << domega1
<< ", domega2: " << domega2
<< ", xx:" << xx << endl;
+
if (fabs(xx) < 0.01 || fabs(xx - 2*M_PI) < 0.01 && fabs(xx + 2*M_PI) < 0.01) {
vector<hilare_a_mvt> sol;
+ vec p1 = cca + vec::from_polar((pos_a.pos() - cca).norm(), (pos_a.pos() - cca).angle() + domega1);
+ vec p2 = ccb + vec::from_polar((pos_b.pos() - ccb).norm(), (pos_b.pos() - ccb).angle() - domega2);
+
hilare_a_mvt r1;
+ r1.dtheta_before = 0;
r1.is_arc = true;
+ r1.center = cca;
+ r1.domega = domega1;
r1.from = pos_a;
r1.to = pos_a;
- r1.to.x = v.x; r1.to.y = v.y;
+ r1.to.x = p1.x; r1.to.y = p1.y;
r1.to.theta = r1.from.theta + domega1;
- r1.center = cca;
- r1.domega = domega1;
- r1.dtheta_before = 0;
sol.push_back(r1);
hilare_a_mvt t;
- t.from = r1.to;
- t.to = t.from;
- t.to.x = w.x; t.to.y = w.y; t.to.phi = 0;
t.is_arc = false;
t.ds = (w - v).norm();
- t.dtheta_before = t.from.phi;
+ t.dtheta_before = r1.to.phi;
+ t.from = r1.to;
+ t.to = t.from; t.to.theta = t.from.theta + t.dtheta_before;
+ t.to.x = p2.x; t.to.y = p2.y; t.to.phi = 0;
sol.push_back(t);
hilare_a_mvt r2;
@@ -166,11 +176,11 @@ solution solution::direct_sol(const hilare_a &pos_a, const hilare_a &pos_b) {
r2.domega = domega2;
sol.push_back(r2);
- return solution(sol);
+ ret.push_back(sol);
}
}
- return solution(); // empty solution
+ return ret;
}
bool solution::intersects(const problem &p) const {
@@ -180,6 +190,14 @@ bool solution::intersects(const problem &p) const {
return false;
}
+double solution::length() {
+ double x;
+ for (auto& m: movement) {
+ x += m.length();
+ }
+ return x;
+}
+
// =============================== //
// IMPLEMENTATION FOR CLASS SOLVER //
// =============================== //
@@ -265,10 +283,7 @@ void solver_internal::initialize(const problem &p) {
pts.push_back(p.begin_pos);
pts.push_back(p.end_pos);
- solution ts = solution::direct_sol(p.begin_pos, p.end_pos);
- if (ts.movement.size() > 0 && !ts.intersects(p)) {
- paths[0][1] = ts;
- }
+ find_direct_path(0, 1, p);
}
solution solver_internal::try_find_solution() {
@@ -338,18 +353,24 @@ void solver_internal::step(const problem &p) {
rp.theta = frand(-M_PI, M_PI);
rp.phi = frand(-M_PI, M_PI);
+ pts.push_back(rp);
+
// try to connect to all existing points
- for (unsigned i = 0; i < pts.size(); i++) {
- solution s = solution::direct_sol(pts[i], rp);
- if (s.movement.size() > 0 && !s.intersects(p)) {
- paths[i][pts.size()] = s;
- }
- solution ss = solution::direct_sol(rp, pts[i]);
- if (ss.movement.size() > 0 && !ss.intersects(p)) {
- paths[pts.size()][i] = ss;
+ for (unsigned i = 0; i < pts.size() - 1; i++) {
+ find_direct_path(i, pts.size() - 1, p);
+ find_direct_path(pts.size() - 1, i, p);
+ }
+}
+
+void solver_internal::find_direct_path(int a, int b, const problem &p) {
+ vector<solution> s = solution::direct_sol(pts[a], pts[b]);
+ int best = -1;
+ for (int k = 0; k < s.size(); k++) {
+ if (s[k].movement.size() > 0 && !s[k].intersects(p)) {
+ if (best == -1 || s[k].length() < s[best].length()) best = k;
}
}
- pts.push_back(rp);
+ if (best != -1) paths[a][b] = s[best];
}
/* vim: set ts=4 sw=4 tw=0 noet :*/