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notknot:: optimized by improved loop recording
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@ -410,7 +410,9 @@ struct hrmap_notknot : hrmap {
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unify.emplace_back(a, b);
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};
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bool make_loop(ucover* u, int loopcount, const vector<int>& looplist) {
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map<heptagon*, vector<vector<int> > > uloops;
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bool collapse_loop(ucover* u, int loopcount, const vector<int>& looplist) {
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auto ux = u;
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for(int iter=0; iter<loopcount; iter++)
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for(int w: looplist) {
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@ -421,7 +423,32 @@ struct hrmap_notknot : hrmap {
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return true;
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};
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set<heptagon*> analyzed;
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bool verify_loop(ucover* u, int loopcount, const vector<int>& looplist) {
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auto ux = u;
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for(int iter=0; iter<loopcount; iter++)
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for(int w: looplist) {
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ux = gen_adj(ux, w);
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if(ux->iswall()) return false;
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}
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return true;
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}
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void record_loop(ucover* u, int loopcount, const vector<int>& looplist) {
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vector<int> repeated;
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for(int l=0; l<loopcount; l++)
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for(auto v: looplist) repeated.push_back(v);
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uloops[u->where].push_back(repeated);
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};
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void record_loop_if_nowall(ucover* u, int loopcount, const vector<int>& looplist) {
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if(verify_loop(u, loopcount, looplist))
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record_loop(u, loopcount, looplist);
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}
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void record_loop_verify(ucover* u, int loopcount, const vector<int>& looplist, const hr_exception& ex) {
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if(!verify_loop(u, loopcount, looplist)) throw ex;
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record_loop(u, loopcount, looplist);
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}
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transmatrix adj(ucover *u, int k) {
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dynamicval<eGeometry> g(geometry, base);
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@ -447,15 +474,15 @@ struct hrmap_notknot : hrmap {
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void unify_homotopies(ucover *u) {
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/* unify homotopies */
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if(base == gNil) {
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make_loop(u, 1, {0, 2, 3, 5});
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make_loop(u, 1, {1, 2, 4, 5});
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make_loop(u, 1, {0, 1, 3, 4, 2});
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collapse_loop(u, 1, {0, 2, 3, 5});
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collapse_loop(u, 1, {1, 2, 4, 5});
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collapse_loop(u, 1, {0, 1, 3, 4, 2});
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return;
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}
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if(base == gCubeTiling) {
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make_loop(u, 1, {0, 1, 3, 4});
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make_loop(u, 1, {0, 2, 3, 5});
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make_loop(u, 1, {1, 2, 4, 5});
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collapse_loop(u, 1, {0, 1, 3, 4});
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collapse_loop(u, 1, {0, 2, 3, 5});
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collapse_loop(u, 1, {1, 2, 4, 5});
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return;
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}
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@ -492,16 +519,8 @@ struct hrmap_notknot : hrmap {
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}
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}
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map<heptagon*, vector<vector<int> > > uloops;
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void unify_loops_general(ucover *u) {
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int t = u->where->type;
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if(uloops.count(u->where)) {
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for(auto& ul: uloops[u->where])
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make_loop(u, loop, ul);
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return;
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}
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uloops[u->where] = {};
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for(int i=0; i<t; i++) {
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auto u1 = gen_adj(u, i);
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if(u1->nowall()) continue;
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@ -540,8 +559,7 @@ struct hrmap_notknot : hrmap {
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println(hlog, "path = ", path);
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}
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uloops[u->where].push_back(path);
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make_loop(u, loop, path);
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record_loop_verify(u, loop, path, hr_exception("wall in loops_general"));
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}
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else {
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camefrom[at->where] = ldir;
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@ -575,33 +593,22 @@ struct hrmap_notknot : hrmap {
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if(base_map == "" && base == gNil) {
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special = true;
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make_loop(u, loop, {0, 0, 2, 2, 2, 3, 3, 5, 5, 5});
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if(u->where->zebraval & 16)
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for(int dir: {0,1,2}) {
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auto ux = u;
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for(int iter=0; iter<nilv::nilperiod[dir]; iter++) {
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ux = gen_adj(ux, dir);
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if(ux->state != 0) goto next_dir;
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}
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println(hlog, "succeeded in direction ", dir);
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add_to_unify(u, ux);
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next_dir: ;
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record_loop_if_nowall(u, loop, {0, 0, 2, 2, 2, 3, 3, 5, 5, 5});
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if(u->where->zebraval & 16) {
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for(int dir: {0,1,2})
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record_loop_verify(u, nilv::nilperiod[dir], {dir}, hr_exception("16 failed"));
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}
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}
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if(base_map == "" && base == gArnoldCat) {
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if(u->where->zebraval & 16)
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if(u->where->zebraval & 16) {
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for(int dir: {0,4,5}) {
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auto ux = u;
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int steps = dir ? asonov::period_xy : asonov::period_z;
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if(dir) steps *= 2;
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for(int iter=0; iter<steps; iter++) {
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ux = gen_adj(ux, dir);
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if(ux->state != 0) goto next_dir_cat;
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record_loop_verify(u, steps, {dir}, hr_exception("16 failed"));
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}
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println(hlog, "succeeded in direction ", dir);
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add_to_unify(u, ux);
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next_dir_cat: ;
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}
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if(u->where->zebraval & 128) {
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@ -633,15 +640,14 @@ struct hrmap_notknot : hrmap {
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add_shift(2-p, 0, -1);
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myloop.push_back(0);
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if(!make_loop(u, 1, myloop))
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throw hr_exception("fail");
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record_loop_verify(u, 1, myloop, hr_exception("128 failed"));
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}
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}
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}
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if(base == gCubeTiling) {
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special = true;
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make_loop(u, loop, {0, 0, 1, 1, 3, 3, 4, 4});
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record_loop_if_nowall(u, loop, {0, 0, 1, 1, 3, 3, 4, 4});
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}
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if(base == gCell120) {
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@ -656,10 +662,13 @@ struct hrmap_notknot : hrmap {
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auto ucur = u;
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auto ulast = (ucover*) nullptr;
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for(int step=0; step<5*loop; step++) {
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vector<int> myloop;
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for(int step=0; step<5; step++) {
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for(int i=0; i<t; i++) {
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auto ucand = ucur->ptr[i];
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if(ucand && isNeighbor(ucand->where->c7, u1->where->c7) && isNeighbor(ucand->where->c7, u2->where->c7) && ucand != ulast) {
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myloop.push_back(i);
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ulast = ucur, ucur = ucand;
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goto next_step;
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}
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@ -668,7 +677,7 @@ struct hrmap_notknot : hrmap {
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next_step: ;
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}
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add_to_unify(u, ucur);
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record_loop(u, loop, myloop);
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fail: ;
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}
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}
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@ -677,35 +686,8 @@ struct hrmap_notknot : hrmap {
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unify_loops_general(u);
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if(u->where == all[0]->where)
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for(auto& lo: to_unloop)
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if(!make_loop(u, 1, lo))
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throw hr_exception("given loop goes through a wall");
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if(loop_any && u->where == all[0]->where) {
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auto us = all[0];
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for(int it=1; it<loop_any; it++) {
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vector<int> pathback;
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auto uc = u;
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while(uc->parentdir != -1) {
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pathback.push_back(uc->parentdir);
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us = gen_adj(us, uc->parentdir);
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uc = uc->ptr[(int) uc->parentdir];
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}
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if(it == 1) println(hlog, "pathback = ", pathback);
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}
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add_to_unify(us, u);
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}
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if(loop_any < 2 && u->where == all[0]->where) {
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vector<int> pathback;
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auto us = all[0];
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auto uc = u;
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while(uc->parentdir != -1) {
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pathback.push_back(uc->parentdir);
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us = gen_adj(us, uc->parentdir);
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uc = uc->ptr[(int) uc->parentdir];
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}
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println(hlog, "pathback = ", pathback);
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for(auto& lo: to_unloop) {
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record_loop_verify(u, 1, lo, hr_exception("loop-to-unloop goes through a wall"));
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}
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}
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@ -793,13 +775,39 @@ struct hrmap_notknot : hrmap {
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for(int k=0; k<u->where->type; k++) gen_adj(u, k);
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if(!analyzed.count(u->where)) {
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analyzed.insert(u->where);
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unify_homotopies(u);
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if(!uloops.count(u->where)) {
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uloops[u->where] = {};
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unify_loops(u);
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println(hlog, "loops recorded for ", u->where, ": ", isize(uloops[u->where]));
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}
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for(auto& myloop: uloops[u->where])
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if(!collapse_loop(u, 1, myloop))
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throw hr_exception("invalid loop recorded");
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if(u->where == all[0]->where) {
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vector<int> pathback;
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auto uc = u;
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while(uc->parentdir != -1) {
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pathback.push_back(uc->parentdir);
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uc = uc->ptr[(int) uc->parentdir];
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}
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println(hlog, "pathback = ", pathback);
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if(loop_any) {
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auto us = all[0];
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for(int it=1; it<loop_any; it++) {
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uc = u;
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while(uc->parentdir != -1) {
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us = gen_adj(us, uc->parentdir);
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uc = uc->ptr[(int) uc->parentdir];
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}
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}
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add_to_unify(us, u);
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}
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}
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unify_homotopies(u);
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unify_loops(u);
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}
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/* make the walls single-colored */
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