self-hiding knot option
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Zeno Rogue
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cc45b32be1
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038d209941
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@ -1,3 +1,7 @@
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#ifdef NOTKNOT
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#include "../hyper.cpp"
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#endif
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#include "../hyper.h"
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/**
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@ -16,6 +20,10 @@ nk_margin=2 -noplayer -canvas-random 20 -geo notknot -sight3 0.5 -ray-cells 6000
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https://youtu.be/eb2DhCcGH7U
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nk_margin=4 -noplayer -canvas-random 20 -geo notknot -sight3 0.5 -ray-cells 600000 smooth_scrolling=1 camspd=10 panini_alpha=1 fov=150 -shot-hd ray_exp_decay_poly=30 ray_fixed_map=1 -ray-iter 100 ray_reflect_val=0.30
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https://youtu.be/vFLZ2NGtuGw
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selfhide=1 loop=4 nk_margin=4 -noplayer -canvas-random 20 -geo notknot -sight3 0.5 -ray-cells 600000 smooth_scrolling=1 camspd=10 panini_alpha=1 fov=150 -shot-hd ray_exp_decay_poly=30 ray_fixed_map=1 -ray-iter 100 ray_reflect_val=0.30
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The algorithm here is as follows:
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* create the map without portals (this is just the cube with the trifoil knot in it)
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@ -51,6 +59,9 @@ int knotsize = 3;
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int terminate_at = 500000000;
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/* make a self-hiding knot */
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bool self_hiding = false;
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eGeometry gNotKnot(eGeometry(-1));
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/** It was easier to generate a program to design the trifoil knot than to generate it manually.
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@ -223,7 +234,7 @@ struct hrmap_notknot : hrmap {
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at(i,j,k)->zebraval = 0;
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for(auto h: trifoil)
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h->zebraval = 1;
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h->zebraval = 9;
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return at(cmax[0], cmax[1], cmax[2]);
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}
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@ -240,23 +251,30 @@ struct hrmap_notknot : hrmap {
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all.emplace_back(new ucover(create_trifoil_knot(), 0));
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bool first = true;
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auto gen_adj = [&] (ucover *u, int d) {
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if(u->ptr[d]) return u->ptr[d];
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cmov(u->where, d);
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auto x = u->where->move(d);
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auto d1 = u->where->c.spin(d);
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if(x->zebraval > 1) {
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auto z = x->zebraval;
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if(z & 6) {
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println(hlog, "zebraval failure!");
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exit(3);
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x->zebraval = 0;
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}
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u->ptr[d] = new ucover(x, x->zebraval);
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if(!first && (z & 8))
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z &=~ 9;
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u->ptr[d] = new ucover(x, z);
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u->ptr[d]->ptr[d1] = u;
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u->ptr[d]->index = isize(all);
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all.push_back(u->ptr[d]);
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return u->ptr[d];
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};
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back:
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while(true) {
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/* handle all known unifications */
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@ -269,7 +287,12 @@ struct hrmap_notknot : hrmap {
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if(uf == ut) continue;
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if(!uf || !ut) println(hlog, "null unified");
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/* we always keep the one with the lower index */
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if(uf->index < ut->index) swap(uf, ut);
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if(uf->index < ut->index) swap(uf, ut);
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/* if a knot is removed, remove the other copy */
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if((uf->state & 1) && !(ut->state & 1))
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uf->state &=~ 1;
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uf->state |= 2; uf->merged_into = ut;
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if(uf->where != ut->where)
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println(hlog, "where confusion");
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@ -356,9 +379,9 @@ struct hrmap_notknot : hrmap {
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auto uk = gen_adj(u, k);
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if(uk->state != 0) continue;
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auto ul = gen_adj(u, l);
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if(ul->state != 1) continue;
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if(!(ul->state & 1)) continue;
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auto ukl = gen_adj(uk, l);
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if(ukl->state != 1) continue;
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if(!(ukl->state & 1)) continue;
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funion(ul, ukl);
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}
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@ -366,9 +389,9 @@ struct hrmap_notknot : hrmap {
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for(int k=0; k<6; k++)
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for(int l=0; l<6; l++) {
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auto uk = gen_adj(u, k);
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if(uk->state != 1) continue;
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if(!(uk->state & 1)) continue;
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auto ul = gen_adj(u, l);
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if(ul->state != 1) continue;
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if(!(ul->state & 1)) continue;
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if(abs(k-l) != 3)
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funion(ul, uk);
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}
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@ -379,9 +402,9 @@ struct hrmap_notknot : hrmap {
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for(auto v: all) {
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if(v->state == 0) lives++;
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if(v->state == 1) walls++;
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if(v->state == 2) merged++;
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if(v->state == 3) overflow++;
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if(v->state & 1) walls++;
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if(v->state & 2) merged++;
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if(v->state & 4) overflow++;
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}
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set<heptagon*> wheres;
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@ -432,7 +455,8 @@ struct hrmap_notknot : hrmap {
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all[i]->wallcolor = 0;
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for(int i=0; i<isize(all); i++)
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if(all[i]->state == 1)
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if(all[i]->state & 1)
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if(!(all[i]->state & 2))
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ufind(all[i])->wallcolor++;
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map<int, int> sizes;
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@ -447,6 +471,22 @@ struct hrmap_notknot : hrmap {
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println(hlog, "colors_used = ", colors_used);
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if(first && self_hiding) {
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ucover *what = nullptr;
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for(int i=0; i<isize(all); i++)
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if((all[i]->state & 1) && (all[i]->state & 8) && !(all[i]->state & 2))
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what = ufind(all[i]);
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for(int i=0; i<isize(all); i++)
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if((all[i]->state & 1) && ufind(all[i]) == what)
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all[i]->state &=~ 9;
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println(hlog, "removed one knot!");
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first = false; i = 0;
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goto back;
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}
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for(int i=0; i<isize(all); i++)
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if((all[i]->state & 1) && ufind(all[i]) == all[i]) {
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all[i]->wallcolor = hrand(0x1000000) | 0x404040,
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