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hyperrogue/rulegen.cpp

2508 lines
69 KiB
C++

// Hyperbolic Rogue -- rule generator
// Copyright (C) 2011-2021 Zeno Rogue, see 'hyper.cpp' for details
/** \file rulegen.cpp
* \brief An algorithm to create strict tree rules for arb tessellations
*/
#include "hyper.h"
namespace hr {
EX namespace rulegen {
/* limits */
EX int max_retries = 999;
EX int max_tcellcount = 1000000;
EX int max_adv_steps = 100;
EX int max_examine_branch = 5040;
EX int max_bdata = 1000;
EX int max_getside = 10000;
EX int rulegen_timeout = 60;
#if HDR
/** exception thrown by this algoritm in case of any problems */
struct rulegen_failure : hr_exception {
rulegen_failure(string _s) : hr_exception(_s) {}
};
/** this exception is thrown if we want to restart the computation -- this is normal, but if thrown more than max_retries times, just surrender */
struct rulegen_retry : rulegen_failure {
rulegen_retry(string _s) : rulegen_failure(_s) {}
};
/** this exception is thrown in case if we run into a special case that is not implemented yet */
struct rulegen_surrender : rulegen_failure {
rulegen_surrender(string _s) : rulegen_failure(_s) {}
};
const int MYSTERY = 31999;
const int MYSTERY_LARGE = 31999999;
#endif
EX bool parent_debug;
/* === tcell === */
/** number of tcells created */
EX int tcellcount = 0;
/** number of tcells united into other tcells */
EX int tunified = 0;
/** hard cases for get_parent_dir */
EX int hard_parents = 0;
/** the number of roots with single live branches */
EX int single_live_branches = 0;
/** the number of roots with double live branches */
EX int double_live_branches = 0;
/** the number of treestates pre-minimization */
EX int states_premini = 0;
#if HDR
/** change some flags -- they usually make it worse */
static const flagtype w_numerical = Flag(1); /*< build trees numerically */
static const flagtype w_near_solid = Flag(2); /*< solid's pre-parent is also solid */
static const flagtype w_no_shortcut = Flag(3); /*< generate no shortcuts */
static const flagtype w_no_restart = Flag(4); /*< do not restart at powers of two */
static const flagtype w_no_sidecache = Flag(5); /*< do not cache get_side */
static const flagtype w_no_relative_distance = Flag(6); /*< do not build relative distances into codes */
static const flagtype w_examine_once = Flag(7); /*< restart after first conflict found in analysis */
static const flagtype w_examine_all = Flag(8); /*< focus on all conflicts found in analysis even if we know them */
static const flagtype w_conflict_all = Flag(9); /*< full extension in case of conflicts */
static const flagtype w_parent_always = Flag(10); /*< always consider the full parent rule */
static const flagtype w_parent_reverse = Flag(11); /*< reverse paths in parent_dir */
static const flagtype w_parent_side = Flag(12); /*< allow side paths in parent_dir */
static const flagtype w_parent_never = Flag(13); /*< never consider the full parent rule */
static const flagtype w_always_clean = Flag(14); /*< restart following phases after any distance errors */
static const flagtype w_single_origin = Flag(15); /*< consider only one origin */
static const flagtype w_slow_side = Flag(16); /*< do not try get_side optimization */
static const flagtype w_bfs = Flag(17); /*< compute distances using BFS */
static const flagtype w_numerical_fix = Flag(18); /*< when doing numerical, find out filled vertices */
static const flagtype w_known_structure = Flag(19); /*< do flagless first, then use the known distances from there (handled in ruletest) */
static const flagtype w_known_distances = Flag(20); /*< with, use the actual distances */
static const flagtype w_no_smart_shortcuts = Flag(21); /*< disable the 'smart shortcut' optimization */
static const flagtype w_less_smart_retrace = Flag(22); /*< stop early when examining smart shortcut retraction */
static const flagtype w_less_smart_advance = Flag(23); /*< stop early when examining smart shortcut advancement */
static const flagtype w_no_queued_extensions = Flag(24); /*< consider extensions one by one */
static const flagtype w_no_branch_skipping = Flag(24); /*< do not skip branches */
#endif
EX flagtype flags = 0;
EX int64_t movecount;
EX int current_getside, current_examine_branch;
#if HDR
struct tcell* tmove(tcell *c, int d);
/** rulegen algorithm works on tcells which have their own map generation */
struct tcell {
/** tcells form a list */
tcell *next;
/** shape ID in arb::current */
int id;
/** degree */
int type;
/** distance from the root */
short dist;
/** cached code */
int code;
/** direction to the parent in the tree */
short parent_dir;
/** direction to the OLD parent in the tree */
short old_parent_dir;
/** direction to anyone closer */
short any_nearer;
/** can we assume that dist is correct? if we assumed that the dist is correct but then find out it was wrong, throw an error */
bool is_solid;
bool distance_fixed;
/** is side info cached? */
unsigned long long known_sides;
/** which side is it */
unsigned long long which_side;
/** sometimes we find out that multiple tcells represent the same actual cell -- in this case we unify them; unified_to is used for the union-find algorithm */
walker<tcell> unified_to;
int degree() { return type; }
connection_table<tcell> c;
tcell*& move(int d) { movecount++; return c.move(d); }
tcell*& modmove(int d) { movecount++; return c.modmove(d); }
tcell* cmove(int d) { movecount++; return tmove(this, d); }
tcell* cmodmove(int d) { movecount++; return tmove(this, c.fix(d)); }
tcell() { }
};
inline void print(hstream& hs, tcell* h) { print(hs, "P", index_pointer(h)); }
using twalker = walker<tcell>;
#endif
queue<reaction_t> fix_queue;
void push_unify(twalker a, twalker b) {
if(a.at->id != b.at->id) {
throw hr_exception("queued bad unify");
}
fix_queue.push([=] { unify(a, b); });
}
bool in_fixing = false;
void process_fix_queue() {
if(in_fixing) return;
in_fixing = true;
while(!fix_queue.empty()) {
fix_queue.front()();
fix_queue.pop();
}
in_fixing = false;
}
EX void ufind(twalker& p) {
if(p.at->unified_to.at == p.at) return;
twalker p1 = p.at->unified_to;
ufind(p1);
p.at->unified_to = p1;
p = p1 + p.spin;
}
EX void ufindc(tcell*& c) {
twalker cw = c; ufind(cw); c = cw.at;
}
EX tcell *first_tcell = nullptr;
// sometimes the standard x+wstep returns nullptr because of unification
twalker addstep(twalker x) {
x.cpeek();
ufind(x);
return x + wstep;
}
tcell *gen_tcell(int id) {
int d = isize(arb::current.shapes[id].connections);
auto c = tailored_alloc<tcell> (d);
c->id = id;
c->next = first_tcell;
c->unified_to = twalker(c, 0);
c->is_solid = false;
c->distance_fixed = false;
c->dist = MYSTERY;
c->code = MYSTERY_LARGE;
c->parent_dir = MYSTERY;
c->old_parent_dir = MYSTERY;
c->known_sides = 0;
c->which_side = 0;
first_tcell = c;
// println(hlog, c, " is a new tcell of id ", id);
tcellcount++;
return c;
}
map<cell*, tcell*> cell_to_tcell;
map<tcell*, cell*> tcell_to_cell;
void numerical_fix(twalker pw) {
auto& shs = arb::current.shapes;
int id = pw.at->id;
int valence = shs[id].vertex_valence[pw.spin];
int steps = 0;
twalker pwf = pw;
twalker pwb = pw;
vector<twalker> deb = {pwb};
while(true) {
if(!pwb.peek()) break;
pwb = pwb + wstep - 1;
deb.push_back(pwb);
steps++;
if(pwb == pwf) {
if(steps == valence) return; /* that's great, we already know this loop */
else {
debuglist = deb;
println(hlog, "deb = ", deb);
throw rulegen_failure("vertex valence too small");
}
}
if(steps == valence) {
println(hlog, "steps = ", steps, " valence = ", valence, " (D)");
debuglist = deb;
println(hlog, "deb = ", deb);
throw rulegen_failure("incorrect looping");
}
}
while(true) {
pwf++;
if(!pwf.peek()) break;
pwf += wstep;
steps++;
if(pwb == pwf) {
if(steps == valence) return; /* that's great, we already know this loop */
else throw rulegen_failure("vertex valence too small");
}
if(steps == valence) {
println(hlog, "steps = ", steps, " valence = ", valence, " (C)");
debuglist = deb;
println(hlog, "deb = ", deb);
throw rulegen_failure("incorrect looping");
}
}
if(steps == valence - 1) {
pwb.at->c.connect(pwb.spin, pwf.at, pwf.spin, false);
fix_distances(pwb.at);
}
}
tcell* tmove(tcell *c, int d) {
if(d<0 || d >= c->type) throw hr_exception("wrong d");
if(c->c.move(d)) return c->c.move(d);
if(flags & (w_numerical | w_known_structure)) {
indenter ind(2);
if(flags & w_known_structure) swap_treestates();
cell *oc = tcell_to_cell[c];
int d1 = d;
if(flags & w_known_structure) {
d1 = gmod(d1 - treestates[oc->master->fieldval].parent_dir, oc->type);
}
cell *oc1 = oc->cmove(d1);
auto& c1 = cell_to_tcell[oc1];
if(!c1) {
c1 = gen_tcell(shvid(oc1));
tcell_to_cell[c1] = oc1;
if(flags & w_known_distances)
c1->dist = oc1->master->distance;
}
int d2 = oc->c.spin(d1);
if(flags & w_known_structure) {
d2 = gmod(d2 + treestates[oc1->master->fieldval].parent_dir, oc1->type);
}
c->c.connect(d, cell_to_tcell[oc1], d2, false);
/* if(arb::current.shapes[c->id].connections[d].eid != d2)
throw hr_exception("Wrong type!"); */
if(flags & w_known_structure)
swap_treestates();
if(!(flags & w_known_distances))
fix_distances(c);
ensure_shorter(c1);
if(flags & w_numerical_fix) {
numerical_fix(twalker(c, d));
numerical_fix(twalker(c, d) + wstep);
}
return c1;
}
auto cd = twalker(c, d);
ufind(cd);
auto& co = arb::current.shapes[c->id].connections[cd.spin];
tcell *c1 = gen_tcell(co.sid);
connect_and_check(cd, twalker(c1, co.eid));
return c1;
}
/** check whether we have completed the vertex to the right of edge d of c */
void check_loops(twalker pw) {
ufind(pw);
auto& shs = arb::current.shapes;
int id = pw.at->id;
int valence = shs[id].vertex_valence[pw.spin];
int steps = 0;
twalker pwf = pw;
twalker pwb = pw;
while(true) {
if(!pwb.peek()) break;
pwb = pwb + wstep - 1;
steps++;
if(pwb == pwf) {
if(steps == valence) return; /* that's great, we already know this loop */
else throw hr_exception("vertex valence too small");
}
if(steps == valence) {
push_unify(pwf, pwb);
return;
}
}
while(true) {
pwf++;
if(!pwf.peek()) break;
pwf += wstep;
steps++;
if(pwb == pwf) {
if(steps == valence) return; /* that's great, we already know this loop */
else throw hr_exception("vertex valence too small");
}
if(steps == valence) {
push_unify(pwf, pwb);
return;
}
}
if(steps == valence - 1) {
connect_and_check(pwb, pwf);
fix_distances(pwb.at);
}
}
EX void connect_and_check(twalker p1, twalker p2) {
ufind(p1); ufind(p2);
p1.at->c.connect(p1.spin, p2.at, p2.spin, false);
fix_queue.push([=] { check_loops(p1); });
fix_queue.push([=] { check_loops(p2); });
process_fix_queue();
}
EX void unify(twalker pw1, twalker pw2) {
ufind(pw1);
ufind(pw2);
if(pw1 == pw2) return;
if(pw1.at->unified_to.at != pw1.at)
throw hr_exception("not unified to itself");
if(pw2.at->unified_to.at != pw2.at)
throw hr_exception("not unified to itself");
if(pw1.at == pw2.at) {
if(pw1.spin != pw2.spin) throw hr_exception("called unify with self and wrong direction");
return;
}
if(pw1.at->id != pw2.at->id)
throw hr_exception("unifying two cells of different id's");
auto& shs = arb::current.shapes;
if((pw1.spin - pw2.spin) % shs[pw1.at->id].cycle_length)
throw hr_exception("unification spin disagrees with cycle_length");
unify_distances(pw1.at, pw2.at, pw2.spin - pw1.spin);
int id = pw1.at->id;
for(int i=0; i<shs[id].size(); i++) {
if(!pw2.peek()) {
/* no need to reconnect */
}
else if(!pw1.peek()) {
connect_and_check(pw1, pw2+wstep);
}
else {
push_unify(pw1+wstep, pw2+wstep);
auto ss = pw1+wstep;
connect_and_check(pw1, pw2+wstep);
connect_and_check(pw1, ss);
}
pw1++;
pw2++;
}
pw2.at->unified_to = pw1 - pw2.spin;
tunified++;
fix_distances(pw1.at);
}
EX vector<twalker> t_origin;
EX void delete_tmap() {
clean_analyzers();
while(first_tcell) {
auto second = first_tcell->next;
tailored_delete(first_tcell);
first_tcell = second;
}
tcellcount = 0;
tunified = 0;
t_origin.clear();
}
/* used in the debugger */
EX vector<twalker> debuglist;
EX vector<twalker> solid_errors_list;
/* === distances === */
bool no_errors = false;
struct hr_solid_error : rulegen_retry {
hr_solid_error() : rulegen_retry("solid error") {}
};
/** since the last restart */
int solid_errors;
/** total solid errors */
EX int all_solid_errors;
/** the next distance to warn about */
EX int next_distance_warning;
/** current distance warnings */
EX int distance_warnings;
#if HDR
struct shortcut {
vector<int> pre;
vector<int> post;
tcell *sample;
int delta;
int last_dir;
};
#endif
EX vector<vector<unique_ptr<shortcut>> > shortcuts;
vector<reaction_t> skipped_branches;
using branch_check = tuple<int, int, int>;
set<branch_check> checks_to_skip;
vector<int> root_path(twalker& cw) {
cw += wstep;
vector<int> res;
while(true) {
if(cw.at->dist == 0) {
int j = cw.to_spin(0);
res.push_back(j);
return res;
}
else {
auto cwd = get_parent_dir(cw);
int j = cw.to_spin(cwd.spin);
res.push_back(j);
cw = cwd + wstep;
}
}
}
EX void calc_distances(tcell *c);
EX void shortcut_found(tcell *c, tcell *alt, vector<twalker> &walkers, vector<twalker> &walkers2, const vector<int>& walkerdir, const vector<int>& walkerdir2, int wpos) {
vector<int> pre;
for(int i=wpos; i>=1; i--) pre.push_back(walkerdir[i]);
reverse(pre.begin(), pre.end());
vector<int> post;
for(int i=isize(walkers2)-1; i>=1; i--) post.push_back(walkerdir2[i]);
reverse(post.begin(), post.end());
int delta = walkers[wpos].to_spin(walkers2.back().spin);
for(auto& s: shortcuts[c->id]) if(s->pre == pre && s->post == post) {
if(parent_debug)
println(hlog, "already knew that ", pre, " ~ ", post);
return;
}
if(debugflags & DF_GEOM)
println(hlog, "new shortcut found, pre = ", pre, " post = ", post, " pre reaches ", walkers[wpos], " post reaches ", walkers2.back(), " of type ", walkers[wpos].at->id, " sample = ", c);
if(isize(pre) > 500) {
debuglist = { c };
throw rulegen_failure("shortcut too long");
}
shortcuts[c->id].emplace_back(unique_ptr<shortcut> (new shortcut));
auto& sh = shortcuts[c->id].back();
sh->pre = pre;
sh->post = post;
sh->sample = c;
sh->delta = delta;
sh->last_dir = c->any_nearer;
auto& sh1 = *sh;
if(debugflags & DF_GEOM) println(hlog, "exhaustive search:");
indenter ind(2);
tcell* c1 = first_tcell;
while(c1) {
if(c1->id == c->id) look_for_shortcuts(c1, sh1);
c1 = c1->next;
}
}
EX void find_new_shortcuts(tcell *c, int d, tcell *alt, int newdir, int delta) {
if(!solid_errors) debuglist = {};
solid_errors_list.push_back(c);
solid_errors++;
all_solid_errors++;
check_timeout(); /* may freeze no this */
if(flags & w_no_shortcut) return;
if(flags & w_known_distances) return;
ufindc(c);
if(debugflags & DF_GEOM)
println(hlog, "solid ", c, " changes ", c->dist, " to ", d, " alt=", alt);
if(newdir == c->any_nearer) {
if(debugflags & DF_GEOM)
println(hlog, "same direction");
return;
}
/* {
throw rulegen_failure("direction did not change");
} */
if(c->dist == MYSTERY)
throw rulegen_failure("find_new_shortcuts with MYSTERY distance");
map<tcell*, int> seen;
vector<twalker> walkers;
vector<int> walkerdir = {-1};
seen[c] = 0;
walkers.push_back(c);
for(int j=0; j<isize(walkers); j++) {
auto w = walkers[j];
if(w.at->dist == 0) break;
for(int s=0; s<w.at->type; s++) {
twalker w1 = w + s;
if(w1.peek() && w1.spin == w.at->any_nearer && !seen.count(w1.peek())) {
seen[w1.peek()] = isize(walkers);
walkers.push_back(w1 + wstep);
walkerdir.push_back(s);
}
}
}
set<tcell*> seen2; /* prevent loops */
c->dist = d;
c->any_nearer = gmod(newdir, c->type);
fix_distances(c);
vector<twalker> walkers2;
vector<int> walkerdir2 = {-1};
walkers2.push_back(twalker(alt, delta));
for(int j=0; j<isize(walkers2); j++) {
auto w = walkers2[j];
if(w.at->dist == 0) break;
for(int s=0; s<w.at->type; s++) {
twalker w1 = w + s;
ufind(w1);
if(w1.spin != w.at->any_nearer) continue;
if(!w1.peek()) continue;
if(seen2.count(w1.peek())) break;
seen2.insert(w1.peek());
if(true) {
walkers2.push_back(w1 + wstep);
walkerdir2.push_back(s);
if(seen.count(w1.peek())) {
shortcut_found(c, alt, walkers, walkers2, walkerdir, walkerdir2, seen[w1.peek()]);
return;
}
}
}
}
}
EX void remove_parentdir(tcell *c) {
if(c->parent_dir != MYSTERY) {
clear_sidecache_and_codes();
c->old_parent_dir = c->parent_dir;
}
c->parent_dir = MYSTERY;
c->code = MYSTERY_LARGE;
for(int i=0; i<c->type; i++) if(c->move(i)) {
if(c->move(i)->parent_dir) c->move(i)->old_parent_dir = c->move(i)->parent_dir;
c->move(i)->parent_dir = MYSTERY;
c->move(i)->code = MYSTERY_LARGE;
}
}
queue<tcell*> bfs_queue;
EX void fix_distances(tcell *c) {
if(flags & w_bfs) while(true) {
if(in_fixing) return;
ufindc(c);
if(c->dist != MYSTERY) return;
if(tcellcount >= max_tcellcount) throw rulegen_surrender("max_tcellcount exceeded");
if(bfs_queue.empty()) throw rulegen_failure("empty bfs queue");
auto c1 = bfs_queue.front();
ufindc(c1);
bfs_queue.pop();
for(int i=0; i<c1->type; i++) {
tcell *c2 = c1->cmove(i);
if(c2->dist == MYSTERY) {
c2->dist = c1->dist + 1;
bfs_queue.push(c2);
}
}
}
c->distance_fixed = true;
if(flags & w_known_distances) return;
vector<tcell*> q = {c};
for(int qi=0; qi<isize(q); qi++) {
c = q[qi];
restart:
for(int i=0; i<c->type; i++) {
if(!c->move(i)) continue;
ufindc(c);
auto process_edge = [&] (twalker tgtw, twalker srcw) {
tcell *tgt = tgtw.at;
tcell *src = srcw.at;
auto& tgt_d = tgt->dist;
int new_d = src->dist + 1;
if(tgt_d > new_d) {
if(tgt->is_solid)
find_new_shortcuts(tgt, new_d, tgt, tgtw.spin, 0);
ufind(tgtw); tgt = tgtw.at;
remove_parentdir(tgt);
tgt_d = new_d;
tgt->any_nearer = tgtw.spin;
if(new_d >= next_distance_warning) {
if(new_d >= MYSTERY-1) throw rulegen_failure("distance limit exceeded");
if(next_distance_warning < 10000) next_distance_warning *= 2;
else if(next_distance_warning < 20000) next_distance_warning = 20000;
else next_distance_warning = new_d; distance_warnings++;
}
return true;
}
return false;
};
twalker ci1(c->cmove(i), c->c.spin(i));
twalker ci(c, i);
if(process_edge(ci, ci1)) goto restart;
if(process_edge(ci1, ci)) q.push_back(ci1.at);
}
}
}
void calc_distances(tcell *c) {
if(c->dist != MYSTERY) return;
fix_distances(c);
}
EX void unify_distances(tcell *c1, tcell *c2, int delta) {
int d1 = c1->dist;
int d2 = c2->dist;
int d = min(d1, d2);
if(c1->is_solid && d != d1) { solid_errors++; find_new_shortcuts(c1, d, c2, c2->any_nearer - delta, +delta); remove_parentdir(c1); }
if(d != d1) fix_distances(c1);
c1->dist = d;
if(c2->is_solid && d != d2) { solid_errors++; find_new_shortcuts(c2, d, c1, c1->any_nearer + delta, -delta); remove_parentdir(c2); }
if(d != d2) fix_distances(c2);
c2->dist = d;
c1->distance_fixed = c2->distance_fixed = c1->distance_fixed || c2->distance_fixed;
c1->is_solid = c2->is_solid = c1->is_solid || c2->is_solid;
}
EX void handle_distance_errors() {
bool b = solid_errors;
solid_errors = 0;
if(b && !no_errors) {
clear_sidecache_and_codes();
if(flags & w_always_clean) clean_data();
debuglist = solid_errors_list;
solid_errors_list = {};
checks_to_skip.clear();
throw hr_solid_error();
}
b = distance_warnings;
distance_warnings = 0;
if(b && !no_errors) {
clean_parents();
checks_to_skip.clear();
throw rulegen_retry("distance exceeded");
}
}
/** make sure that we know c->dist */
void be_solid(tcell *c) {
if(c->is_solid) return;
if(tcellcount >= max_tcellcount)
throw rulegen_surrender("max_tcellcount exceeded");
ufindc(c);
calc_distances(c);
ufindc(c);
look_for_shortcuts(c);
ufindc(c);
if(c->dist == MYSTERY) {
if(debugflags & DF_GEOM)
println(hlog, "set solid but no dist ", c);
debuglist = { c };
throw rulegen_failure("set solid but no dist");
}
c->is_solid = true;
if(c->dist > 0 && !(flags & w_near_solid) && c->any_nearer >= 0 && c->any_nearer < c->type) {
tcell *c1 = c->move(c->any_nearer);
if(c1) be_solid(c1);
}
}
EX void look_for_shortcuts(tcell *c, shortcut& sh) {
if(c->dist <= 0) return;
if(!(flags & w_no_smart_shortcuts)) {
twalker tw0(c, 0);
twalker tw(c, 0);
ufind(tw);
ufind(tw0);
vector<tcell*> opath;
for(auto& v: sh.pre) {
opath.push_back(tw.at);
tw += v;
if(!tw.peek() && !(flags & w_less_smart_retrace)) return;
ufind(tw);
tw += wstep;
calc_distances(tw.at);
}
int more_steps = isize(sh.post);
int d = arb::current.shapes[c->id].cycle_length;
if(sh.last_dir % d < c->any_nearer % d) more_steps--;
tw += sh.delta;
for(auto it = sh.post.rbegin(); it != sh.post.rend(); it++) {
auto& v = *it;
ufind(tw);
if(!tw.peek() && tw.at->dist + more_steps > c->dist && !(flags & w_less_smart_advance)) return;
tw += wstep;
calc_distances(tw.at);
more_steps--;
tw -= v;
}
process_fix_queue();
if(tw.at->dist < c->dist) {
if(debugflags & DF_GEOM)
println(hlog, "smart shortcut updated ", c->dist, " to ", tw.at->dist);
}
push_unify(tw, tw0);
process_fix_queue();
}
else {
twalker tw0(c, 0);
twalker tw(c, 0);
ufind(tw);
ufind(tw0);
vector<tcell*> opath;
for(auto& v: sh.pre) {
opath.push_back(tw.at);
tw += v;
if(!tw.peek()) return;
if(tw.peek()->dist != tw.at->dist-1) return;
ufind(tw);
tw += wstep;
}
opath.push_back(tw.at);
ufind(tw0);
vector<tcell*> npath;
for(auto& v: sh.post) {
npath.push_back(tw0.at);
tw0 += v;
ufind(tw0);
tw0 += wstep;
calc_distances(tw0.at);
}
npath.push_back(tw0.at);
int d = sh.delta;
auto tw1 = tw + d;
if(tw1.at->id != tw0.at->id)
println(hlog, "ERROR: improper shortcut");
else
push_unify(tw1, tw0);
process_fix_queue();
for(auto t: npath) {
ufindc(t);
fix_distances(t);
}
ufindc(c);
}
}
EX void look_for_shortcuts(tcell *c) {
if(c->dist > 0)
for(int i=0; i<isize(shortcuts[c->id]); i++)
look_for_shortcuts(c, *shortcuts[c->id][i]);
}
EX void ensure_shorter(twalker cw) {
/* if cw.peek() has shorter dist, ensure it exists */
/* only with w_known_distances */
if(flags & w_known_distances) {
swap_treestates();
int d1 = cw.spin;
auto oc = tcell_to_cell[cw.at];
d1 = gmod(d1 - treestates[oc->master->fieldval].parent_dir, oc->type);
cell *c1 = oc->cmove(d1);
// println(hlog, "cw=", cw, " oc=", oc, " c1=", c1, " d=", oc->master->distance, "=", cw.at->dist, " vs ", c1->master->distance);
bool ok = c1->master->distance < cw.at->dist;
swap_treestates();
if(ok)
cw.at->cmove(cw.spin);
}
}
void trace_root_path(vector<int>& rp, twalker cw) {
auto d = cw.peek()->dist;
cw += wstep; auto scw = cw;
bool side = (flags & w_parent_side);
next:
if(d > 0) {
ufind(cw);
handle_distance_errors();
auto cwd = get_parent_dir(cw);
for(int i=0; i<cw.at->type; i++) {
if((!side) && (cw+i) != cwd) continue;
tcell *c1 = cwd.peek();
if(!c1) continue;
be_solid(c1);
handle_distance_errors();
if(c1->dist < d) {
rp.push_back(i);
cw += i;
cw += wstep;
d--;
goto next;
}
}
}
if(d > 0) {
debuglist = {scw};
throw rulegen_failure("should not happen [trace]");
}
rp.push_back(cw.to_spin(0));
if(flags & w_parent_reverse) reverse(rp.begin(), rp.end());
}
EX int parent_updates;
/** which neighbor will become the parent of c */
EX twalker get_parent_dir(twalker& cw) {
tcell*& c = cw.at;
if(c->parent_dir != MYSTERY) return twalker(c, c->parent_dir);
int bestd = -1;
vector<int> bestrootpath;
be_solid(c);
auto oc = c;
if(c->dist > 0) {
auto& sh = arb::current.shapes[c->id];
int n = sh.size();
int k = sh.cycle_length;
vector<int> nearer;
auto beats = [&] (int i, int old) {
if(old == -1) return true;
if(i%k != old%k) return i%k < old%k;
return true;
/* if(old < i) old += n;
return old <= i+n/2; */
};
int d = c->dist;
for(int i=0; i<n; i++) {
ensure_shorter(cw+i);
tcell *c1 = c->cmove(i);
be_solid(c1);
if(parent_debug) println(hlog, "direction = ", i, " is ", c1, " distance = ", c1->dist);
if(c1->dist < d) nearer.push_back(i);
ufind(cw); if(d != cw.at->dist || oc != cw.at) return get_parent_dir(cw);
}
if(parent_debug) println(hlog, "nearer = ", nearer, " n=", n, " k=", k);
bool failed = false;
if(flags & w_parent_always) {failed = true; goto resolve; }
// celebrity identification problem
for(auto ne: nearer)
if(beats(ne, bestd))
bestd = ne;
if(parent_debug) for(auto ne: nearer) println(hlog, "beats", tie(ne, bestd), " = ", beats(ne, bestd));
for(auto ne: nearer)
if(ne != bestd && beats(ne, bestd))
failed = true;
if(failed) {
if(flags & w_parent_never) {
debuglist = { c };
throw rulegen_failure("still confused");
}
resolve:
hard_parents++;
vector<int> best;
int bestfor = nearer[0];
trace_root_path(best, twalker(c, nearer[0]));
for(auto ne1: nearer) {
vector<int> other;
trace_root_path(other, twalker(c, ne1));
if(other < best) best = other, bestfor = ne1;
}
bestd = bestfor;
}
if(bestd == -1) {
debuglist = { c };
throw rulegen_failure("should not happen");
}
}
if(parent_debug) println(hlog, "set parent_dir to ", bestd);
c->parent_dir = bestd;
if(c->old_parent_dir != MYSTERY && c->old_parent_dir != bestd && c == oc) {
c->any_nearer = c->old_parent_dir;
find_new_shortcuts(c, c->dist, c, bestd, 0);
}
parent_updates++;
return twalker(c, bestd);
}
/** determine states for tcells */
#if HDR
using aid_t = pair<int, int>;
struct analyzer_state {
int analyzer_id;
int id, dir;
array<analyzer_state*, 10> substates;
analyzer_state() { id = MYSTERY; dir = MYSTERY; for(int i=0; i<10; i++) substates[i] = nullptr; }
vector<twalker> inhabitants;
};
#endif
int next_analyzer_id;
EX vector<vector<analyzer_state*>> analyzers;
EX vector<analyzer_state*> all_analyzers;
analyzer_state *alloc_analyzer() {
auto a = new analyzer_state;
a->analyzer_id = next_analyzer_id++;
all_analyzers.push_back(a);
return a;
}
EX aid_t get_aid(twalker cw) {
ufind(cw);
auto ide = cw.at->id;
return {ide, gmod(cw.to_spin(0), arb::current.shapes[ide].cycle_length)};
}
void extend_analyzer(twalker cwmain, int z, twalker giver) {
ufind(giver);
ufind(cwmain);
vector<twalker> giver_sprawl, main_sprawl, sub_sprawl;
vector<analyzer_state*> giver_states, main_states, sub_states;
id_at_spin(cwmain, main_sprawl, main_states);
id_at_spin((cwmain+z)+wstep, sub_sprawl, sub_states);
id_at_spin((giver+z)+wstep, giver_sprawl, giver_states);
int currently_at = 1+z;
vector<int> idlist;
for(int i=0;; i++) {
if(i == isize(sub_states) || i == isize(giver_states))
/* may happen if something changed but not updated */
throw rulegen_retry("reached the end");
if(giver_states[i] != sub_states[i]) {
i--;
while(i != 0) {
idlist.push_back(i);
i = giver_states[i]->id;
}
break;
}
}
reverse(idlist.begin(), idlist.end());
auto v = main_states.back();
auto v1 = v;
int new_id = isize(main_states)-1;
for(auto l: idlist) {
/* check if already tested */
for(int u=1; u<isize(main_states); u++)
if(main_states[u]->id == currently_at && main_states[u]->dir == sub_states[l]->dir) {
currently_at = u;
goto next_l;
}
v->id = currently_at;
v->dir = sub_states[l]->dir;
for(int i=0; i<10; i++) if(sub_states[l]->substates[i] == sub_states[l+1]) {
v = v->substates[i] = alloc_analyzer();
currently_at = new_id++;
goto next_l;
}
next_l: ;
}
update_all_codes(v1);
}
#if HDR
struct treestate {
int id;
bool known;
vector<int> rules;
twalker giver;
int sid;
int parent_dir;
int astate;
twalker where_seen;
bool is_live;
bool is_possible_parent;
bool is_root;
vector<pair<int, int>> possible_parents;
};
static const int C_IGNORE = 0;
static const int C_CHILD = 1;
static const int C_UNCLE = 2;
static const int C_EQUAL = 4;
static const int C_NEPHEW = 6;
static const int C_PARENT = 8;
#endif
EX vector<treestate> treestates;
EX set<tcell*> single_live_branch_close_to_root;
/** is what on the left side, or the right side, of to_what? */
void treewalk(twalker& cw, int delta) {
auto cwd = get_parent_dir(cw);
if(cw == cwd) cw = addstep(cw);
else {
auto cw1 = addstep(cw);
auto cwd = get_parent_dir(cw1);
if(cwd == cw1) cw = cw1;
}
cw+=delta;
}
EX vector<tcell*> sidecaches_to_clear;
void clear_sidecache() {
if(sidecaches_to_clear.size()) {
for(auto c: sidecaches_to_clear)
c->which_side = c->known_sides = 0;
sidecaches_to_clear.clear();
}
}
void set_sidecache(twalker what, int side) {
auto c = what.at;
if(c->known_sides == 0) sidecaches_to_clear.push_back(c);
unsigned long long bit = 1ll<<what.spin;
c->known_sides |= bit;
if(side > 0)
c->which_side |= bit;
}
int get_sidecache(twalker what) {
auto c = what.at;
unsigned long long bit = 1ll<<what.spin;
if(c->known_sides & bit)
return (c->which_side & bit) ? 1 : -1;
return 0;
}
int get_side(twalker what) {
bool side = !(flags & w_no_sidecache);
bool fast = (flags & w_slow_side);
if(side) {
auto w = get_sidecache(what);
if(w) return w;
}
int res = 99;
int steps = 0;
if(fast) {
twalker w = what;
twalker tw = what + wstep;
auto adv = [] (twalker& cw) {
cw = get_parent_dir(cw);
if(cw.peek()->dist >= cw.at->dist) {
handle_distance_errors();
if(debugflags & DF_GEOM)
println(hlog, "get_parent_dir error at ", cw, " and ", cw.at->move(cw.spin), ": ", cw.at->dist, "::", cw.at->move(cw.spin)->dist);
throw rulegen_failure("get_parent_dir error");
}
cw += wstep;
};
while(w.at != tw.at) {
steps++; if(steps > max_getside) {
debuglist = {what, w, tw};
throw rulegen_failure("qsidefreeze");
}
ufind(w); ufind(tw);
if(w.at->dist > tw.at->dist)
adv(w);
else if(w.at->dist < tw.at->dist)
adv(tw);
else {
adv(w); adv(tw);
}
}
if(w.at->dist && !single_live_branch_close_to_root.count(w.at)) {
twalker wd = get_parent_dir(w);
ufind(tw);
res = wd.to_spin(w.spin) - wd.to_spin(tw.spin);
}
}
// failed to solve this in the simple way (ended at the root) -- go around the tree
twalker wl = what;
twalker wr = wl;
auto to_what = what + wstep;
auto ws = what; treewalk(ws, 0); if(ws == to_what) res = 0;
static vector<twalker> lstack = {nullptr}, rstack = {nullptr};
lstack.resize(1); rstack.resize(1);
while(res == 99) {
handle_distance_errors();
steps++; if(steps > current_getside) {
debuglist = {what, to_what, wl, wr};
checks_to_skip.clear();
if(parent_updates) throw rulegen_retry("xsidefreeze");
else if(steps > max_getside) {
throw rulegen_failure("xsidefreeze");
}
else {
current_getside *= 2;
throw rulegen_retry("xsidefreeze double");
}
}
bool gl = wl.at->dist <= wr.at->dist;
bool gr = wl.at->dist >= wr.at->dist;
if(gl) {
if(get_sidecache(wl) == 1) wl += wstep;
treewalk(wl, -1);
if(wl == to_what) { res = 1; }
if(lstack.back() == wl+wstep) {
set_sidecache(lstack.back(), 1);
set_sidecache(wl, -1);
lstack.pop_back();
}
else if(wl.at->parent_dir != wl.spin && (wl+wstep).at->parent_dir != (wl+wstep).spin) lstack.push_back(wl);
}
if(gr) {
if(get_sidecache(wr) == -1) wr += wstep;
treewalk(wr, +1);
if(wr == to_what) {res = -1; }
if(rstack.back() == wr+wstep) {
set_sidecache(rstack.back(), -1);
set_sidecache(wr, +1);
rstack.pop_back();
}
else if(wr.at->parent_dir != wr.spin && (wr+wstep).at->parent_dir != (wr+wstep).spin) rstack.push_back(wr);
}
}
if(side && res)
set_sidecache(what, res), set_sidecache(what + wstep, -res);
return res;
}
int move_code(twalker cs) {
bool child = false;
if(cs.at->dist) {
auto csd = get_parent_dir(cs);
child = cs == csd;
}
if(child)
return C_CHILD;
else {
auto cs2 = cs + wstep;
be_solid(cs.at); ufind(cs); ufind(cs2); be_solid(cs2.at);
fix_distances(cs.at);
int y = cs.at->dist - cs.peek()->dist;
int x;
if(!(flags & w_no_relative_distance)) x = C_EQUAL;
else if(y == 1) x = C_NEPHEW;
else if(y == 0) x = C_EQUAL;
else if(y == -1) x = C_UNCLE;
else throw rulegen_failure("distance problem y=" + its(y) + lalign(0, " cs=", cs, " cs2=", cs2, " peek=", cs.peek(), " dist=", cs.at->dist, " dist2=", cs2.at->dist));
auto gs = get_side(cs);
if(gs == 0 && x == C_UNCLE) x = C_PARENT;
if(gs > 0) x++;
return x;
}
}
EX void id_at_spin(twalker cw, vector<twalker>& sprawl, vector<analyzer_state*>& states) {
ufind(cw);
auto aid = get_aid(cw);
auto a_ptr = &(analyzers[aid.first][aid.second]);
sprawl = { cw };
states = { nullptr };
indenter ind(2);
while(true) {
auto& a = *a_ptr;
if(!a) {
a = alloc_analyzer();
}
states.push_back(a);
if(isize(sprawl) <= cw.at->type) {
a->id = 0, a->dir = isize(sprawl)-1;
// println(hlog, "need to go in direction ", a->dir);
}
if(a->id == MYSTERY) {
return;
}
auto t = sprawl[a->id];
twalker tw = t + a->dir;
ufind(tw);
tw.cpeek();
ufind(tw);
int mc = move_code(tw + wstep);
sprawl.push_back(tw + wstep);
a_ptr = &(a->substates[mc]);
}
}
EX pair<int, int> get_code(twalker& cw) {
tcell *c = cw.at;
if(c->code != MYSTERY_LARGE && c->parent_dir != MYSTERY) {
int bestd = c->parent_dir;
if(bestd == -1) bestd = 0;
return {bestd, c->code};
}
be_solid(c);
twalker cd = c->dist == 0 ? twalker(c, 0) : get_parent_dir(cw);
if(cd.at != c) ufind(cw);
indenter ind(2);
static vector<twalker> sprawl;
static vector<analyzer_state*> states;
id_at_spin(cd, sprawl, states);
auto v = states.back();
v->inhabitants.push_back(cw);
cd.at->code = v->analyzer_id;
return {cd.spin, v->analyzer_id};
}
EX pair<int, int> get_treestate_id(twalker& cw) {
auto co = get_code(cw);
auto v = all_analyzers[co.second];
if(v->dir == MYSTERY) {
int id = isize(treestates);
v->dir = id;
treestates.emplace_back();
auto& nts = treestates.back();
nts.id = id;
nts.where_seen = cw;
nts.known = false;
nts.is_live = true;
nts.astate = co.second;
}
co.second = v->dir;
return co;
}
/* == rule generation == */
EX int rule_root;
vector<int> gen_rule(twalker cwmain);
EX int try_count;
EX vector<twalker> important;
vector<twalker> cq;
#if HDR
/* special codes */
static const int DIR_UNKNOWN = -1;
static const int DIR_LEFT = -4;
static const int DIR_RIGHT = -5;
static const int DIR_PARENT = -6;
#endif
vector<int> gen_rule(twalker cwmain, int id) {
vector<int> cids;
for(int a=0; a<cwmain.at->type; a++) {
auto front = cwmain+a;
twalker c1 = front + wstep;
be_solid(c1.at);
if(a == 0 && cwmain.at->dist) { cids.push_back(DIR_PARENT); continue; }
if(c1.at->dist <= cwmain.at->dist) { cids.push_back(DIR_UNKNOWN); continue; }
auto co = get_treestate_id(c1);
auto& d1 = co.first;
auto& id1 = co.second;
if(c1.at->cmove(d1) != cwmain.at || c1.at->c.spin(d1) != front.spin) {
cids.push_back(DIR_UNKNOWN); continue;
}
cids.push_back(id1);
}
for(int i=0; i<isize(cids); i++) if(cids[i] == DIR_UNKNOWN)
cids[i] = get_side(cwmain+i) < 0 ? DIR_RIGHT : DIR_LEFT;
return cids;
}
vector<reaction_t> queued_extensions;
void handle_queued_extensions() {
if(queued_extensions.empty()) return;
for(auto& r: queued_extensions) r();
throw rulegen_retry("mismatch error");
}
void rules_iteration_for(twalker& cw) {
indenter ri(2);
ufind(cw);
auto co = get_treestate_id(cw);
auto& d = co.first;
auto& id = co.second;
twalker cwmain(cw.at, d);
ufind(cwmain);
vector<int> cids = gen_rule(cwmain, id);
auto& ts = treestates[id];
if(!ts.known) {
ts.known = true;
ts.rules = cids;
ts.giver = cwmain;
ts.sid = cwmain.at->id;
ts.parent_dir = cwmain.spin;
ts.is_root = cw.at->dist == 0;
}
else if(ts.rules != cids) {
handle_distance_errors();
auto& r = ts.rules;
if(debugflags & DF_GEOM) {
println(hlog, "merging ", ts.rules, " vs ", cids);
}
int mismatches = 0;
for(int z=0; z<isize(cids); z++) {
if(r[z] == cids[z]) continue;
if(r[z] < 0 || cids[z] < 0) {
debuglist = { cwmain, ts.giver };
throw rulegen_retry("neg rule mismatch");
}
auto tg = ts.giver;
if(!(flags & w_no_queued_extensions)) {
queued_extensions.push_back([cwmain, z, tg] {
extend_analyzer(cwmain, z, tg);
});
return;
}
extend_analyzer(cwmain, z, tg);
mismatches++;
debuglist = { cwmain, ts.giver };
if(!(flags & w_conflict_all))
throw rulegen_retry("mismatch error");
}
debuglist = { cwmain, ts.giver };
if(mismatches)
throw rulegen_retry("mismatch error");
throw rulegen_failure("no mismatches?!");
}
}
void minimize_rules() {
states_premini = isize(treestates);
if(debugflags & DF_GEOM)
println(hlog, "minimizing rules...");
int next_id = isize(treestates);
vector<int> new_id(next_id);
map<aid_t, int> new_id_of;
int new_ids = 0;
for(int id=0; id<next_id; id++) {
auto aid = get_aid(treestates[id].giver);
if(!new_id_of.count(aid)) new_id_of[aid] = new_ids++;
new_id[id] = new_id_of[aid];
}
int last_new_ids = 0;
while(new_ids > last_new_ids && new_ids < next_id) {
last_new_ids = new_ids;
map<vector<int>, int> hashes;
new_ids = 0;
auto last_new_id = new_id;
for(int id=0; id<next_id; id++) {
vector<int> hash;
hash.push_back(last_new_id[id]);
auto& ts = treestates[id];
for(auto& r: ts.rules)
if(r >= 0) hash.push_back(last_new_id[r]);
else hash.push_back(r);
if(!hashes.count(hash))
hashes[hash] = new_ids++;
new_id[id] = hashes[hash];
}
}
if(debugflags & DF_GEOM)
println(hlog, "final new_ids = ", new_ids, " / ", next_id);
if(1) {
vector<int> old_id(new_ids, -1);
for(int i=0; i<next_id; i++) if(old_id[new_id[i]] == -1) old_id[new_id[i]] = i;
for(int i=0; i<new_ids; i++) treestates[i] = treestates[old_id[i]];
for(int i=0; i<new_ids; i++) treestates[i].id = i;
treestates.resize(new_ids);
for(auto& ts: treestates) {
for(auto& r: ts.rules)
if(r >= 0) r = new_id[r];
}
}
}
void find_possible_parents() {
for(auto& ts: treestates) {
ts.is_possible_parent = false;
for(int r: ts.rules)
if(r == DIR_PARENT)
ts.is_possible_parent = true;
}
while(true) {
int changes = 0;
for(auto& ts: treestates) ts.possible_parents.clear();
for(auto& ts: treestates)
if(ts.is_possible_parent) {
int rid = 0;
for(int r: ts.rules) {
if(r >= 0) treestates[r].possible_parents.emplace_back(ts.id, rid);
rid++;
}
}
for(auto& ts: treestates)
if(ts.is_possible_parent && ts.possible_parents.empty()) {
ts.is_possible_parent = false;
changes++;
}
if(!changes) break;
}
int pp = 0;
for(auto& ts: treestates) if(ts.is_possible_parent) pp++;
if(debugflags & DF_GEOM)
println(hlog, pp, " of ", isize(treestates), " states are possible_parents");
}
/* == branch testing == */
using tsinfo = pair<int, int>;
tsinfo get_tsinfo(twalker& tw) {
auto co = get_treestate_id(tw);
int spin;
if(co.first == -1) spin = tw.spin;
else spin = gmod(tw.spin - co.first, tw.at->type);
return {co.second, spin};
}
int get_rule(const twalker tw, tsinfo s) {
auto& r = treestates[s.first].rules;
if(r.empty()) {
important.push_back(tw.at);
throw rulegen_retry("unknown rule in get_rule");
}
return r[s.second];
}
set<vector<tsinfo> > verified_branches;
void push_deadstack(vector<tsinfo>& hash, twalker w, tsinfo tsi, int dir) {
hash.push_back(tsi);
while(true) {
ufind(w);
if(isize(hash) > 10000) throw rulegen_failure("deadstack overflow");
tsi.second += dir; w += dir;
auto& ts = treestates[tsi.first];
if(ts.is_root) return;
if(tsi.second == 0 || tsi.second == isize(ts.rules)) {
w += wstep;
tsi = get_tsinfo(w);
hash.push_back(tsi);
}
else {
if(ts.rules.empty()) throw rulegen_retry("empty rule");
int r = ts.rules[tsi.second];
if(r > 0 && treestates[r].is_live) return;
}
}
}
struct verify_advance_failed : hr_exception {};
using conflict_id_type = pair<pair<int, int>, pair<int, int>>;
set<conflict_id_type> branch_conflicts_seen;
void verified_treewalk(twalker& tw, int id, int dir) {
if(id >= 0) {
auto tw1 = tw + wstep;
auto co = get_treestate_id(tw1);
if(co.second != id || co.first != tw1.spin) {
handle_distance_errors();
conflict_id_type conflict_id = make_pair(make_pair((tw+wstep).spin,id), co);
if((flags & w_examine_all) || !branch_conflicts_seen.count(conflict_id)) {
branch_conflicts_seen.insert(conflict_id);
important.push_back(tw.at);
if(debugflags & DF_GEOM)
println(hlog, "branch conflict ", conflict_id, " found");
}
else if(debugflags & DF_GEOM)
println(hlog, "branch conflict ", conflict_id, " found again");
debuglist = {tw, tw+wstep};
throw verify_advance_failed();
}
}
treewalk(tw, dir);
}
bool examine_branch(int id, int left, int right) {
auto rg = treestates[id].giver;
if(debugflags & DF_GEOM)
println(hlog, "need to examine branches ", tie(left, right), " of ", id, " starting from ", rg, " step = ", rg+left+wstep, " vs ", rg+right+wstep);
indenter ind(2);
auto wl = rg+left;
auto wr = rg+left+1;
vector<twalker> lstack, rstack;
int steps = 0;
try {
while(true) {
handle_distance_errors();
steps++;
if(steps > current_examine_branch) {
debuglist = { rg+left, wl, wr };
if(skipped_branches.size()) {
checks_to_skip.clear();
throw rulegen_retry("max_examine_branch exceeded after a skipped check");
}
else if(branch_conflicts_seen.size())
/* may be not a real problem, but caused by incorrect detection of live branches */
throw rulegen_retry("max_examine_branch exceeded after a conflict");
else if(steps > max_examine_branch)
throw rulegen_failure("max_examine_branch exceeded");
else {
current_examine_branch *= 2;
throw rulegen_retry("max_examine_branch exceeded, doubling");
}
}
auto tsl = get_tsinfo(wl);
auto tsr = get_tsinfo(wr);
auto rl = get_rule(wl, tsl);
auto rr = get_rule(wr, tsr);
if(0) if(debugflags & DF_GEOM)
println(hlog, "wl = ", wl, " -> ", wl+wstep, " R", rl, " wr = ", wr, " -> ", wr+wstep, " R", rr, " lstack = ", lstack, " rstack = ", rstack);
if(rl == DIR_RIGHT && rr == DIR_LEFT && lstack.empty() && rstack.empty()) {
vector<tsinfo> hash;
push_deadstack(hash, wl, tsl, -1);
hash.emplace_back(-1, wl.at->dist - wr.at->dist);
push_deadstack(hash, wr, tsr, +1);
if(0) if(debugflags & DF_GEOM)
println(hlog, "got hash: ", hash);
if(verified_branches.count(hash)) {
return true;
}
verified_branches.insert(hash);
verified_treewalk(wl, rl, -1);
verified_treewalk(wr, rr, +1);
}
else if(rl == DIR_RIGHT && !lstack.empty() && lstack.back() == wl+wstep) {
lstack.pop_back();
verified_treewalk(wl, rl, -1);
}
else if(rr == DIR_LEFT && !rstack.empty() && rstack.back() == wr+wstep) {
rstack.pop_back();
verified_treewalk(wr, rr, +1);
}
else if(rl == DIR_LEFT) {
lstack.push_back(wl);
verified_treewalk(wl, rl, -1);
}
else if(rr == DIR_RIGHT) {
rstack.push_back(wr);
verified_treewalk(wr, rr, +1);
}
else if(rl != DIR_RIGHT)
verified_treewalk(wl, rl, -1);
else if(rr != DIR_RIGHT)
verified_treewalk(wr, rr, +1);
else throw rulegen_failure("cannot advance while examining");
}
}
catch(verify_advance_failed&) {
if(flags & w_examine_once) throw rulegen_retry("advance failed");
return false;
}
}
/* == main algorithm == */
bool need_clear_codes;
void clear_codes() {
need_clear_codes = false;
for(auto a: all_analyzers) {
for(auto tw: a->inhabitants) tw.at->code = MYSTERY_LARGE;
a->inhabitants.clear();
}
}
void find_single_live_branch(twalker& at) {
handle_distance_errors();
rules_iteration_for(at);
handle_queued_extensions();
int id = get_treestate_id(at).second;
int t = at.at->type;
auto r = treestates[id].rules; /* no & because may move */
int q = 0;
if(r.empty()) { important.push_back(at.at); throw rulegen_retry("no giver in find_single_live_branch"); }
for(int i=0; i<t; i++) if(r[i] >= 0) {
if(treestates[r[i]].is_live) q++;
}
for(int i=0; i<t; i++) if(r[i] >= 0) {
single_live_branch_close_to_root.insert(at.at);
if(!treestates[r[i]].is_live || q == 1) {
auto at1 = at + i + wstep;
find_single_live_branch(at1);
}
}
}
EX void clean_analyzers() {
for(auto a: all_analyzers) for(auto tw: a->inhabitants) tw.at->code = MYSTERY_LARGE;
for(auto a: all_analyzers) delete a;
for(auto& av: analyzers) for(auto& a: av) a = nullptr;
all_analyzers.clear();
next_analyzer_id = 0;
}
EX void clean_data() {
clean_analyzers();
checks_to_skip.clear();
important = t_origin;
}
EX void clear_sidecache_and_codes() {
clear_sidecache();
need_clear_codes = true;
}
EX void update_all_codes(analyzer_state *a) {
vector<twalker> old;
swap(old, a->inhabitants);
for(auto tw: old) {
ufind(tw);
if(tw.at->code == a->analyzer_id)
tw.at->code = MYSTERY_LARGE;
}
}
EX void clean_parents() {
clear_sidecache_and_codes();
clean_data();
auto c = first_tcell;
while(c) { c->parent_dir = MYSTERY; c = c->next; }
}
void clear_treestates() {
treestates.clear();
for(auto a: all_analyzers)
if(a->id == MYSTERY) a->dir = MYSTERY;
}
EX void rules_iteration() {
try_count++;
debuglist = {};
queued_extensions.clear();
if((try_count & (try_count-1)) == 0) if(!(flags & w_no_restart)) {
clean_data();
clean_parents();
}
if(debugflags & DF_GEOM) println(hlog, "attempt: ", try_count, " important = ", isize(important), " cells = ", tcellcount);
parent_updates = 0;
clear_treestates();
if(need_clear_codes) clear_codes();
cq = important;
if(debugflags & DF_GEOM)
println(hlog, "important = ", cq);
for(int i=0; i<isize(cq); i++) {
rules_iteration_for(cq[i]);
}
handle_distance_errors();
if(debugflags & DF_GEOM)
println(hlog, "number of treestates = ", isize(treestates));
rule_root = get_treestate_id(t_origin[0]).second;
if(debugflags & DF_GEOM)
println(hlog, "rule_root = ", rule_root);
for(int id=0; id<isize(treestates); id++) {
if(!treestates[id].known) {
auto ws = treestates[id].where_seen;
rules_iteration_for(ws);
continue;
}
}
handle_queued_extensions();
int N = isize(important);
int new_deadends = -1;
while(new_deadends) {
new_deadends = 0;
for(int id=0; id<isize(treestates); id++) {
auto& ts = treestates[id];
if(!ts.known) continue;
if(!ts.is_live) continue;
int children = 0;
for(int i: ts.rules) if(i >= 0 && treestates[i].is_live) children++;
if(!children)
treestates[id].is_live = false, new_deadends++;
}
if(debugflags & DF_GEOM)
println(hlog, "deadend states found: ", new_deadends);
}
// print_rules();
handle_distance_errors();
verified_branches.clear();
int q = isize(single_live_branch_close_to_root);
single_live_branches = 0;
double_live_branches = 0;
branch_conflicts_seen.clear();
// handle dead roots -- some of their branches MUST live
for(int id=0; id<isize(treestates); id++) if(treestates[id].is_root && !treestates[id].is_live) {
auto r = treestates[id].rules;
for(int i=0; i<isize(r); i++) if(r[i] >= 0) {
examine_branch(id, i, i);
break;
}
}
handle_queued_extensions();
skipped_branches.clear();
auto examine_or_skip_branch = [&] (int id, int fb, int sb) {
if(flags & w_no_branch_skipping) {
examine_branch(id, fb, sb);
return;
}
auto b = branch_check{treestates[id].astate, fb, sb};
if(checks_to_skip.count(b)) {
skipped_branches.emplace_back([id, fb, sb] { examine_branch(id, fb, sb); });
return;
}
if(examine_branch(id, fb, sb)) checks_to_skip.insert(b);
};
for(int id=0; id<isize(treestates); id++) if(treestates[id].is_live) {
auto r = treestates[id].rules; /* no & because treestates might have moved */
if(r.empty()) continue;
int last_live_branch = -1;
int first_live_branch = -1;
int qbranches = 0;
for(int i=0; i<isize(r); i++)
if(r[i] >= 0 && treestates[r[i]].is_live) {
if(first_live_branch == -1) first_live_branch = i;
if(last_live_branch >= 0)
examine_or_skip_branch(id, last_live_branch, i);
last_live_branch = i;
qbranches++;
}
if(qbranches == 2) double_live_branches++;
if((flags & w_slow_side) && first_live_branch == last_live_branch && treestates[id].is_root) {
if(debugflags & DF_GEOM)
println(hlog, "for id ", id, " we have a single live branch");
single_live_branches++;
indenter ind(2);
debuglist = { treestates[id].giver };
find_single_live_branch(treestates[id].giver);
}
if(isize(single_live_branch_close_to_root) != q) {
vector<tcell*> v;
for(auto c: single_live_branch_close_to_root) v.push_back(c);
if(debugflags & DF_GEOM)
println(hlog, "changed single_live_branch_close_to_root from ", q, " to ", v);
debuglist = { treestates[id].giver };
clear_sidecache_and_codes();
throw rulegen_retry("single live branch");
}
if(treestates[id].is_root)
examine_or_skip_branch(id, last_live_branch, first_live_branch);
}
after_branches:
for(int id=0; id<isize(treestates); id++) if(!treestates[id].giver.at) {
important.push_back(treestates[id].where_seen);
}
handle_distance_errors();
handle_queued_extensions();
if(isize(important) != N)
throw rulegen_retry("need more rules after examine");
if(skipped_branches.size()) {
checks_to_skip.clear();
for(auto sb: skipped_branches) sb();
skipped_branches.clear();
goto after_branches;
}
minimize_rules();
find_possible_parents();
if(isize(important) != N)
throw rulegen_retry("need more rules after minimize");
handle_distance_errors();
}
void clear_tcell_data() {
auto c = first_tcell;
while(c) {
c->is_solid = false;
// c->dist = MYSTERY;
c->parent_dir = MYSTERY;
c->code = MYSTERY_LARGE;
c->distance_fixed = false;
c = c->next;
}
in_fixing = false; fix_queue = std::queue<reaction_t>{};
}
EX void cleanup() {
clear_tcell_data();
clean_analyzers();
important.clear();
shortcuts.clear();
single_live_branch_close_to_root.clear();
}
EX void clear_all() {
treestates.clear();
cleanup();
}
EX int origin_id;
EX unsigned start_time;
EX void check_timeout() {
if(SDL_GetTicks() > start_time + 1000 * rulegen_timeout)
throw rulegen_surrender("timeout");
}
EX void generate_rules() {
start_time = SDL_GetTicks();
delete_tmap();
if(!arb::in()) try {
arb::convert::convert();
if(flags & w_numerical) arb::convert::activate();
}
catch(hr_exception& e) {
throw rulegen_surrender("conversion failure");
}
clear_all();
analyzers.clear();
important.clear();
treestates.clear();
hard_parents = single_live_branches = double_live_branches = all_solid_errors = solid_errors = 0;
next_distance_warning = 512;
current_getside = 512;
current_examine_branch = 512;
int NS = isize(arb::current.shapes);
shortcuts.resize(NS);
analyzers.resize(NS);
for(int i=0; i<NS; i++) analyzers[i].resize(arb::current.shapes[i].cycle_length);
t_origin.clear();
cell_to_tcell.clear();
tcell_to_cell.clear();
branch_conflicts_seen.clear();
clear_sidecache_and_codes();
fix_queue = queue<reaction_t>();; in_fixing = false;
if(flags & (w_numerical | w_known_structure)) {
if(flags & w_known_structure) swap_treestates();
stop_game();
start_game();
cell *s = currentmap->gamestart();
tcell *c = gen_tcell(shvid(s));
cell_to_tcell[s] = c;
tcell_to_cell[c] = s;
c->dist = 0;
t_origin.push_back(twalker(c, 0));
if((flags & w_known_structure) && !(flags & w_single_origin))
add_other_origins(currentmap);
if(flags & w_known_structure) swap_treestates();
}
else if(flags & w_single_origin) {
tcell *c = gen_tcell(origin_id);
c->dist = 0;
t_origin.push_back(twalker(c, 0));
}
else for(auto& ts: arb::current.shapes) {
tcell *c = gen_tcell(ts.id);
c->dist = 0;
t_origin.push_back(twalker(c, 0));
}
bfs_queue = queue<tcell*>();
if(flags & w_bfs) for(auto c: t_origin) bfs_queue.push(c.at);
try_count = 0;
important = t_origin;
while(true) {
check_timeout();
try {
rules_iteration();
break;
}
catch(rulegen_retry& e) {
if(debugflags & DF_GEOM)
println(hlog, "result ", try_count, ": ", e.what());
if(try_count >= max_retries) throw;
}
}
}
int reclevel;
void build_test();
/* == hrmap_rulegen == */
struct hrmap_rulegen : hrmap {
hrmap *base;
heptagon *origin;
vector<heptagon*> extra_origins;
heptagon* gen(int s, int d, bool c7) {
int t = arb::current.shapes[treestates[s].sid].size();
heptagon *h = init_heptagon(t);
if(c7) h->c7 = newCell(t, h);
h->distance = d;
h->fieldval = s;
h->zebraval = treestates[s].sid;
h->s = hsA;
return h;
}
~hrmap_rulegen() {
clearfrom(origin);
for(auto eo: extra_origins) clearfrom(eo);
}
hrmap_rulegen() {
origin = gen(rule_root, 0, true);
origin->s = hsOrigin;
}
hrmap_rulegen(heptagon *h) {
origin = h;
}
heptagon *getOrigin() override {
return origin;
}
int get_rule(heptspin hs) {
int s = hs.at->fieldval;
return treestates[s].rules[hs.spin];
}
static void hsconnect(heptspin a, heptspin b) {
a.at->c.connect(a.spin, b.at, b.spin, false);
}
heptagon *create_step(heptagon *h, int d) override {
heptspin hs(h, d);
int r = get_rule(hs);
indenter ind(2);
if(hlog.indentation >= 6000)
throw rulegen_failure("failed to create_step");
if(r >= 0) {
auto h1 = gen(r, h->distance + 1, h->c7);
auto hs1 = heptspin(h1, 0);
// verify_connection(hs, hs1);
hsconnect(hs, hs1);
return h1;
}
else if(r == DIR_PARENT) {
auto& hts = treestates[h->fieldval];
auto& choices = hts.possible_parents;
if(choices.empty()) throw rulegen_failure("no possible parents");
auto selected = hrand_elt(choices);
auto h1 = gen(selected.first, h->distance - 1, h->c7);
auto hs1 = heptspin(h1, selected.second);
hsconnect(hs, hs1);
return h1;
}
else if(r == DIR_LEFT || r == DIR_RIGHT) {
heptspin hs1 = hs;
int delta = r == DIR_LEFT ? -1 : 1;
int rev = (DIR_LEFT ^ DIR_RIGHT ^ r);
hs1 += delta;
while(true) {
int r1 = get_rule(hs1);
if(r1 == rev) {
hsconnect(hs, hs1);
return hs1.at;
}
else if(r1 == r || r1 == DIR_PARENT || r1 >= 0) {
hs1 += wstep;
hs1 += delta;
}
else throw rulegen_failure("bad R1");
}
}
else throw rulegen_failure("bad R");
throw rulegen_failure("impossible");
}
int get_arb_dir(int s, int dir) {
int sid = treestates[s].sid;
int N = arb::current.shapes[sid].size();
return gmod(dir + treestates[s].parent_dir, N);
}
transmatrix adj(heptagon *h, int dir) override {
if(h->fieldval == -1)
return arb::get_adj(arb::current_or_slided(), h->zebraval, dir, -1, -1);
int s = h->fieldval;
int dir0 = get_arb_dir(s, dir);
int dir1 = -1;
int sid1 = -1;
if(h->c.move(dir)) {
auto s1 = h->c.move(dir)->fieldval;
dir1 = get_arb_dir(s1, h->c.spin(dir));
sid1 = treestates[s1].sid;
}
return arb::get_adj(arb::current_or_slided(), treestates[s].sid, dir0, sid1, dir1);
}
int shvid(cell *c) override {
return c->master->zebraval;
}
transmatrix relative_matrixh(heptagon *h2, heptagon *h1, const hyperpoint& hint) override {
return relative_matrix_recursive(h2, h1);
}
hyperpoint get_corner(cell *c, int cid, ld cf) override {
if(c->master->fieldval == -1) {
auto& sh = arb::current_or_slided().shapes[c->master->zebraval];
cid = gmod(cid, sh.size());
return normalize(C0 + (sh.vertices[cid] - C0) * 3 / cf);
}
int s = c->master->fieldval;
auto& sh = arb::current_or_slided().shapes[c->master->zebraval];
auto dir = get_arb_dir(s, cid);
return normalize(C0 + (sh.vertices[dir] - C0) * 3 / cf);
}
void find_cell_connection(cell *c, int d) override {
if(c->master->cmove(d) == &oob) {
c->c.connect(d, &out_of_bounds, 0, false);
}
else hrmap::find_cell_connection(c, d);
}
bool strict_tree_rules() override { return true; }
virtual bool link_alt(heptagon *h, heptagon *alt, hstate firststate, int dir) override {
auto& hts = treestates[h->fieldval];
int psid = hts.sid;
if(firststate == hsOrigin) {
alt->s = hsOrigin;
for(auto& ts: treestates) if(ts.sid == psid && ts.is_root) {
alt->fieldval = ts.id;
// ts.parent_dir should be 0, but anyway
altmap::relspin(alt) = gmod(ts.parent_dir-hts.parent_dir, isize(hts.rules));
return true;
}
return false;
}
int odir = hts.parent_dir + dir;
int cl = arb::current.shapes[psid].cycle_length;
vector<int> choices;
for(auto& ts: treestates)
if(ts.is_possible_parent && ts.sid == psid)
if(gmod(ts.parent_dir - odir, cl) == 0)
choices.push_back(ts.id);
alt->fieldval = hrand_elt(choices, -1);
alt->s = hsA;
if(alt->fieldval == -1) return false;
altmap::relspin(alt) = dir;
return true;
}
};
EX vector<treestate> alt_treestates;
EX void swap_treestates() {
swap(treestates, alt_treestates);
}
EX void add_other_origins(hrmap *m0) {
auto m = dynamic_cast<hrmap_rulegen*> (m0);
if(!m) throw hr_exception("add_other_origins not on hrmap_rulegen");
/* we check for sid because state 0 is already there */
for(int i=1; i<isize(treestates); i++) if(treestates[i].is_root && treestates[i].sid) {
heptagon *extra_origin = m->gen(i, 0, true);
extra_origin->s = hsOrigin;
cell *s = extra_origin->c7;
tcell *c = gen_tcell(shvid(s));
cell_to_tcell[s] = c;
tcell_to_cell[c] = s;
c->dist = 0;
t_origin.push_back(twalker(c, 0));
m->extra_origins.push_back(extra_origin);
}
println(hlog, "t_origin size = ", isize(t_origin));
}
EX int get_arb_dir(cell *c, int dir) {
return ((hrmap_rulegen*)currentmap)->get_arb_dir(c->master->fieldval, dir);
}
EX hrmap *new_hrmap_rulegen_alt(heptagon *h) {
return new hrmap_rulegen(h);
}
EX hrmap *new_hrmap_rulegen() { return new hrmap_rulegen(); }
EX int get_state(cell *c) {
return c->master->fieldval;
}
EX string rules_known_for = "unknown";
string rule_status;
EX bool known() {
return arb::current.have_tree || rules_known_for == arb::current.name;
}
EX bool prepare_rules() {
if(known()) return true;
try {
generate_rules();
rules_known_for = arb::current.name;
rule_status = XLAT("rules generated successfully: %1 states using %2-%3 cells",
its(isize(treestates)), its(tcellcount), its(tunified));
if(debugflags & DF_GEOM) println(hlog, rule_status);
return true;
}
catch(rulegen_retry& e) {
rule_status = XLAT("too difficult: %1", e.what());
}
catch(rulegen_surrender& e) {
rule_status = XLAT("too difficult: %1", e.what());
}
catch(rulegen_failure& e) {
rule_status = XLAT("bug: %1", e.what());
}
if(debugflags & DF_GEOM) println(hlog, rule_status);
return false;
}
#if CAP_COMMANDLINE
int args() {
using namespace arg;
if(0) ;
else if(argis("-rulegen")) {
PHASEFROM(3);
prepare_rules();
}
else if(argis("-rulegen-cleanup"))
cleanup();
else if(argis("-rulegen-play")) {
PHASEFROM(3);
if(prepare_rules()) {
stop_game();
arb::convert::activate();
start_game();
}
}
else if(argis("-d:rulegen")) {
launch_dialog(show);
}
else return 1;
return 0;
}
auto hooks_arg =
addHook(hooks_args, 100, args);
#endif
auto hooks = addHook(hooks_configfile, 100, [] {
param_i(max_retries, "max_retries");
param_i(max_tcellcount, "max_tcellcount")
->editable(0, 16000000, 100000, "maximum cellcount", "controls the max memory usage of conversion algorithm -- the algorithm fails if exceeded", 'c');
param_i(max_adv_steps, "max_adv_steps");
param_i(max_examine_branch, "max_examine_branch");
param_i(max_getside, "max_getside");
param_i(max_bdata, "max_bdata");
param_i(rulegen_timeout, "rulegen_timeout");
});
EX void parse_treestate(arb::arbi_tiling& c, exp_parser& ep) {
if(!c.have_tree) {
c.have_tree = true;
treestates.clear();
rule_root = 0;
}
treestates.emplace_back();
auto& ts = treestates.back();
ts.id = isize(treestates) - 1;
ts.sid = ep.iparse();
ts.parent_dir = 0;
if(!arb::correct_index(ts.sid, isize(c.shapes)))
throw hr_parse_exception("incorrect treestate index at " + ep.where());
int N = c.shapes[ts.sid].size();
int qparent = 0, sumparent = 0;
for(int i=0; i<N; i++) {
ep.force_eat(","); ep.skip_white();
if(ep.eat("PARENT")) ts.rules.push_back(DIR_PARENT);
else if(ep.eat("LEFT")) ts.rules.push_back(DIR_LEFT);
else if(ep.eat("RIGHT")) ts.rules.push_back(DIR_RIGHT);
else { int i = ep.iparse(); ts.rules.push_back(i); }
}
for(int i=0; i<N; i++) {
if(ts.rules[i] == DIR_PARENT) qparent++, sumparent += i;
}
ts.is_root = qparent == 0;
if(qparent > 1) throw hr_parse_exception("multiple parent at " + ep.where());
if(qparent == 1) {
ts.parent_dir = sumparent;
println(hlog, "before: ", ts.rules);
std::rotate(ts.rules.begin(), ts.rules.begin() + sumparent, ts.rules.end());
println(hlog, "after : ", ts.rules);
}
ep.force_eat(")");
}
EX void verify_parsed_treestates() {
if(rule_root < 0 || rule_root >= isize(treestates))
throw hr_parse_exception("undefined treestate as root");
for(auto& ts: treestates) for(auto& r: ts.rules) {
if(r < 0 && !among(r, DIR_PARENT, DIR_LEFT, DIR_RIGHT))
throw hr_parse_exception("negative number in treestates");
if(r > isize(treestates))
throw hr_parse_exception("undefined treestate");
}
for(auto& sh: arb::current.shapes) sh.cycle_length = sh.size();
find_possible_parents();
}
EX void show() {
cmode = sm::SIDE | sm::MAYDARK;
gamescreen(1);
dialog::init(XLAT("strict tree maps"));
dialog::addHelp(XLAT(
"Strict tree maps are generated using a more powerful algorithm.\n\nThis algorithms supports horocycles and knows the expansion rates of various "
"tessellations (contrary to the basic implementation of Archimedean, tes, and unrectified/warped/untruncated tessellations).\n\nYou can convert mostly any "
"non-spherical periodic 2D tessellation to strict tree based.\n\nSwitching the map format erases your map."));
if(kite::in()) {
dialog::addInfo("not available in aperiodic tessellations");
dialog::addBack();
dialog::display();
}
else if(WDIM == 3) {
dialog::addInfo("not available in 3D tessellations");
dialog::addBack();
dialog::display();
}
dialog::addBoolItem(XLAT("in tes internal format"), arb::in(), 't');
dialog::add_action([] {
if(!arb::in()) {
arb::convert::convert();
arb::convert::activate();
start_game();
rule_status = XLAT("converted successfully -- %1 cell types", its(isize(arb::current.shapes)));
rules_known_for = "unknown";
}
else if(arb::convert::in()) {
stop_game();
geometry = arb::convert::base_geometry;
variation = arb::convert::base_variation;
start_game();
}
else {
addMessage(XLAT("cannot be disabled for this tiling"));
}
});
dialog::addBoolItem(XLAT("strict tree based"), currentmap->strict_tree_rules(), 's');
dialog::add_action([] {
if(!currentmap->strict_tree_rules()) {
if(prepare_rules()) {
println(hlog, "prepare_rules returned true");
stop_game();
arb::convert::activate();
start_game();
delete_tmap();
}
}
else if(arb::current.have_tree) {
addMessage(XLAT("cannot be disabled for this tiling"));
}
else {
rules_known_for = "unknown";
rule_status = "manually disabled";
stop_game();
start_game();
}
});
add_edit(max_tcellcount);
dialog::addBreak(100);
dialog::addHelp(rule_status);
dialog::items.back().color = known() ? 0x00FF00 : rules_known_for == "unknown" ? 0xFFFF00 : 0xFF0000;
dialog::addBreak(100);
dialog::addBack();
dialog::display();
}
EX }
}