mirror of
https://github.com/zenorogue/hyperrogue.git
synced 2024-11-24 13:27:17 +00:00
615 lines
17 KiB
C++
615 lines
17 KiB
C++
namespace hr {
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namespace synt {
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#define SDEBUG(x) if(debug_geometry) { doindent(); x; fflush(stdout); }
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static const int sfPH = 1;
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static const int sfLINE = 2;
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// Marek-snub
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vector<int> faces = {3, 6, 6, 6};
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vector<int> adj = {1, 0, 2, 3};
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vector<bool> invert = {false, false, true, false};
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vector<int> nflags = {sfPH | sfLINE, 0, 0, 0};
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bool have_ph, have_line, have_symmetry;
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int repetition = 1;
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int N;
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vector<int> flags;
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vector<vector<pair<int, int>>> adjacent;
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vector<vector<pair<ld, ld>>> triangles;
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// id of vertex in the syntetic tiling
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// odd numbers = reflected tiles
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// 0, 2, ..., 2(N-1) = as in the symbol
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// 2N = bitruncated tile
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short& id_of(heptagon *h) {
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return h->zebraval;
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}
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// which index in id_of's neighbor list does h->move[0] have
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short& parent_index_of(heptagon *h) {
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return h->emeraldval;
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}
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// total number of neighbors
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int neighbors_of(heptagon *h) {
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return isize(triangles[id_of(h)]);
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}
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ld edgelength;
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vector<ld> inradius, circumradius, alphas;
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int matches[30][30];
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int periods[30];
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int tilegroup[30], groupoffset[30], tilegroups;
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int gcd(int x, int y) { return x ? gcd(y%x, x) : y; }
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int errors;
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pair<int, int>& get_adj(heptagon *h, int cid);
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pair<ld, ld>& get_triangle(heptagon *h, int cid);
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pair<ld, ld>& get_triangle(const pair<int, int>& p, int delta = 0);
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pair<int, int>& get_adj(const pair<int, int>& p, int delta = 0);
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void make_match(int a, int i, int b, int j) {
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if(periods[a] != periods[b])
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errors++;
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if(matches[a][b] == -1)
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matches[a][b] = j - i, matches[b][a] = i - j;
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else
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periods[a] = periods[b] = gcd(matches[a][b] - (j-i), periods[a]);
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}
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void prepare() {
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errors = 0;
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/* build the 'adjacent' table */
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N = isize(faces);
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int M = 2 * N + 2;
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adjacent.clear();
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adjacent.resize(M);
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have_symmetry = false;
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for(int i=0; i<N; i++) if(invert[i]) have_symmetry = true;
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for(int i=0; i<M; i++) for(int j=0; j<M; j++) matches[i][j] = i==j ? 0 : -1;
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for(int i=0; i<M; i++) periods[i] = i<2*N ? faces[i/2] : N;
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for(int i=0; i<N; i++) {
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for(int oi=0; oi<1; oi++) {
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int at = (i+oi)%N;
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int inv = oi;
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printf("vertex ");
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for(int z=0; z<faces[i]; z++) {
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printf("[%d %d] " , at, inv);
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adjacent[2*i+oi].emplace_back(2*N+int(inv), inv ? (2*at+2*N-2) % (2*N) : 2*at);
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if(invert[at]) inv ^= 1;
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at = adj[at];
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if(inv) at = (at+1) % N;
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else at = (at+N-1) % N;
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}
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printf("-> [%d %d]\n", at, inv);
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}
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}
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for(int i=0; i<N; i++) {
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adjacent[2*N].emplace_back(2*i, 0);
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int ai = (i+1) % N;
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adjacent[2*N].emplace_back(2*N+int(invert[ai]), (2*adj[ai]+2*N-1) % (2*N));
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}
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for(int d=0; d<=2*N; d+=2) {
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int s = isize(adjacent[d]);
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for(int i=0; i<s; i++) {
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auto& orig = adjacent[d][s-1-i];
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adjacent[d+1].emplace_back(orig.first ^ 1, orig.second);
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}
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}
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for(int d=0; d<M; d++) {
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int s = isize(adjacent[d]);
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for(int i=0; i<s; i++) {
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auto& orig = adjacent[d][i];
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if(orig.first & 1) orig.second = isize(adjacent[orig.first]) - 1 - orig.second;
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}
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}
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for(int i=0; i<M; i++) {
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printf("adjacent %2d:", i);
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for(int j=0; j<isize(adjacent[i]); j++) {
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auto p = adjacent[i][j];
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printf(" (%d,%d)", p.first, p.second);
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}
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printf("\n");
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}
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/* verify all the triangles */
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for(int i=0; i<M; i++) {
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for(int j=0; j<isize(adjacent[i]); j++) {
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int ai = i, aj = j;
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printf("triangle ");
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for(int s=0; s<3; s++) {
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printf("[%d %d] ", ai, aj); fflush(stdout);
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tie(ai, aj) = adjacent[ai][aj];
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aj++; if(aj >= isize(adjacent[ai])) aj = 0;
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}
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printf("-> [%d %d]\n", ai, aj);
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make_match(i, j, ai, aj);
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}
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}
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for(int i=0; i<2*N; i++) {
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for(int j=0; j<isize(adjacent[i]); j++) {
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auto aa = make_pair(i, j);
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aa = get_adj(aa, 1);
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aa = get_adj(aa, 2);
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aa = get_adj(aa, 1);
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aa = get_adj(aa, 2);
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make_match(i, j, aa.first, aa.second);
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}
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}
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for(int i=0; i<M; i++) for(int j=0; j<M; j++) if(matches[i][j] != -1)
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for(int l=0; l<M; l++) for(int k=0; k<M; k++) if(matches[j][k] != -1) {
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make_match(i, 0, k, matches[i][j] + matches[j][k]);
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make_match(i, 0, k, matches[i][j] + matches[j][k] + gcd(periods[i], periods[j]));
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}
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for(int i=0; i<M; i++) tilegroup[i] = -1;
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tilegroups = 0;
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for(int i=0; i<M; i+=(have_symmetry?1:2)) if(tilegroup[i] == -1) {
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if(periods[i] < 0) periods[i] = -periods[i];
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for(int j=0; j<M; j++) if(matches[i][j] != -1)
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tilegroup[j] = tilegroups, groupoffset[j] = matches[i][j] % periods[i];
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tilegroups++;
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}
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flags.clear();
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flags.resize(M);
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for(int i=0; i<M; i++)
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for(int j=0; j<2*N; j++)
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if(tilegroup[i] == tilegroup[j]) flags[i] |= nflags[j/2];
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if(!have_ph) {
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if(nonbitrunc) {
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for(int i=0; i<M; i++) if(tilegroup[i] == 0) flags[i] |= sfPH;
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}
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else {
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for(int z=2*N; z<2*N+2; z++) flags[z] |= sfPH;
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}
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}
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for(int i=0; i<M; i+=(have_symmetry?1:2)) {
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printf("tiling group of %2d: [%2d]%2d+Z%2d\n", i, tilegroup[i], groupoffset[i], periods[i]);
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printf("\n");
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}
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ld sum = 0;
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for(int f: faces) sum += (f-2.) / f;
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if(sum < 1.999999) ginf[gSyntetic].cclass = gcSphere;
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else if(sum > 2.000001) ginf[gSyntetic].cclass = gcHyperbolic;
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else ginf[gSyntetic].cclass = gcEuclid;
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printf("sum = %lf\n", double(sum));
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dynamicval<eGeometry> dv(geometry, gSyntetic);
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/* compute the geometry */
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inradius.resize(N);
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circumradius.resize(N);
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alphas.resize(N);
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ld elmin = 0, elmax = hyperbolic ? 10 : sphere ? M_PI : 1;
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for(int p=0; p<100; p++) {
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edgelength = (elmin + elmax) / 2;
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ld alpha_total = 0;
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for(int i=0; i<N; i++) {
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ld crmin = 0, crmax = sphere ? M_PI : 10;
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for(int q=0; q<100; q++) {
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circumradius[i] = (crmin + crmax) / 2;
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hyperpoint p1 = xpush0(circumradius[i]);
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hyperpoint p2 = spin(2 * M_PI / faces[i]) * p1;
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inradius[i] = hdist0(mid(p1, p2));
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if(hdist(p1, p2) > edgelength) crmax = circumradius[i];
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else crmin = circumradius[i];
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}
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hyperpoint h = xpush(edgelength/2) * xspinpush0(M_PI/2, inradius[i]);
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alphas[i] = atan2(-h[1], h[0]);
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alpha_total += alphas[i];
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}
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// printf("el = %lf alpha = %lf\n", double(edgelength), double(alpha_total));
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if(sphere ^ (alpha_total > M_PI)) elmin = edgelength;
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else elmax = edgelength;
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if(euclid) break;
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}
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printf("computed edgelength = %lf\n", double(edgelength));
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triangles.clear();
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triangles.resize(M);
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for(int i=0; i<N; i++) for(int j=0; j<2; j++)
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for(int k=0; k<faces[i]; k++)
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triangles[2*i+j].emplace_back(2*M_PI/faces[i], circumradius[i]);
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for(int k=0; k<N; k++) {
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triangles[2*N].emplace_back(alphas[k], circumradius[k]);
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triangles[2*N].emplace_back(alphas[(k+1)%N], edgelength);
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triangles[2*N+1].emplace_back(alphas[N-1-k], edgelength);
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triangles[2*N+1].emplace_back(alphas[N-1-k], circumradius[N-1-k]);
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}
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for(auto& ts: triangles) {
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ld total = 0;
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for(auto& t: ts) tie(t.first, total) = make_pair(total, total + t.first);
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// printf("total = %lf\n", double(total));
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}
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for(auto& ts: triangles) {
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printf("T");
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for(auto& t: ts) printf(" %lf@%lf", double(t.first), double(t.second));
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printf("\n");
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}
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}
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map<heptagon*, vector<pair<heptagon*, transmatrix> > > altmap;
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map<heptagon*, pair<heptagon*, transmatrix>> syntetic_gmatrix;
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hrmap *current_altmap;
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struct hrmap_syntetic : hrmap {
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heptagon *origin;
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heptagon *getOrigin() { return origin; }
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hrmap_syntetic() {
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origin = new heptagon;
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origin->s = hsOrigin;
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origin->emeraldval = 0;
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origin->zebraval = 0;
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origin->fiftyval = 0;
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origin->fieldval = 0;
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origin->rval0 = origin->rval1 = 0;
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origin->cdata = NULL;
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origin->c.clear();
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origin->alt = NULL;
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origin->distance = 0;
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parent_index_of(origin) = 0;
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id_of(origin) = 0;
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origin->c7 = newCell(isize(adjacent[0]), origin);
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heptagon *alt = NULL;
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if(hyperbolic) {
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dynamicval<eGeometry> g(geometry, gNormal);
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alt = new heptagon;
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alt->s = hsOrigin;
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alt->emeraldval = 0;
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alt->zebraval = 0;
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alt->c.clear();
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alt->distance = 0;
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alt->c7 = NULL;
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alt->alt = alt;
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alt->cdata = NULL;
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current_altmap = newAltMap(alt);
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}
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transmatrix T = xpush(.01241) * spin(1.4117) * xpush(0.1241) * Id;
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syntetic_gmatrix[origin] = make_pair(alt, T);
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altmap[alt].emplace_back(origin, T);
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base_distlimit = 0;
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celllister cl(origin->c7, 1000, 200, NULL);
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base_distlimit = cl.dists.back();
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if(sphere) base_distlimit = 15;
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}
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~hrmap_syntetic() {
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clearfrom(origin);
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altmap.clear();
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syntetic_gmatrix.clear();
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if(current_altmap) {
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dynamicval<eGeometry> g(geometry, gNormal);
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delete current_altmap;
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current_altmap = NULL;
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}
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}
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void verify() { }
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};
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hrmap *new_map() { return new hrmap_syntetic; }
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transmatrix adjcell_matrix(heptagon *h, int d);
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heptagon *build_child(heptagon *parent, int d, int id, int pindex) {
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indenter ind;
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auto h = buildHeptagon1(new heptagon, parent, d, hstate(1), 0);
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SDEBUG( printf("NEW %p.%d ~ %p.0\n", parent, d, h); )
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id_of(h) = id;
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parent_index_of(h) = pindex;
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int nei = neighbors_of(h);
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h->c7 = newCell(nei, h);
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h->distance = parent->distance + 1;
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return h;
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}
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void connectHeptagons(heptagon *h, int i, heptspin hs) {
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SDEBUG( printf("OLD %p.%d ~ %p.%d\n", h, i, hs.at, hs.spin); )
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if(h->move(i) == hs.at && h->c.spin(i) == hs.spin) {
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SDEBUG( printf("WARNING: already connected\n"); )
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return;
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}
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if(h->move(i)) {
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SDEBUG( printf("ERROR: already connected left\n"); )
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exit(1);
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}
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if(hs.peek()) {
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SDEBUG( printf("ERROR: already connected right\n"); )
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exit(1);
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}
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h->c.connect(i, hs);
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auto p = get_adj(h, i);
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if(tilegroup[p.first] != tilegroup[id_of(hs.at)])
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printf("should merge %d %d\n", p.first, id_of(hs.at));
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// heptagon *hnew = build_child(h, d, get_adj(h, d).first, get_adj(h, d).second);
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}
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void create_adjacent(heptagon *h, int d) {
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SDEBUG( printf("%p.%d ~ ?\n", h, d); )
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auto& t1 = get_triangle(h, d);
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// * spin(-tri[id][pi+i].first) * xpush(t.second) * pispin * spin(tri[id'][p'+d'].first)
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auto& p = syntetic_gmatrix[h];
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heptagon *alt = p.first;
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transmatrix T = p.second * spin(-t1.first) * xpush(t1.second);
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if(hyperbolic) {
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dynamicval<eGeometry> g(geometry, gNormal);
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virtualRebaseSimple(alt, T);
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}
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if(euclid)
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alt = encodeId(pair_to_vec(int(T[0][2]), int(T[1][2])));
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SDEBUG( printf("look for: %p / %s\n", alt, display(T * C0)); )
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for(auto& p: altmap[alt]) if(intval(p.second * C0, T * C0) < 1e-6) {
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SDEBUG( printf("cell found: %p\n", p.first); )
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for(int d2=0; d2<p.first->c7->type; d2++) {
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auto& t2 = get_triangle(p.first, d2);
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transmatrix T1 = T * spin(M_PI + t2.first);
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SDEBUG( printf("compare: %s", display(T1 * xpush0(1))); )
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SDEBUG( printf(":: %s\n", display(p.second * xpush0(1))); )
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if(intval(T1 * xpush0(1), p.second * xpush0(1)) < 1e-6) {
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connectHeptagons(h, d, heptspin(p.first, d2));
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return;
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}
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}
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SDEBUG( printf("but rotation not found\n"));
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}
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auto& t2 = get_triangle(get_adj(h, d));
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transmatrix T1 = T * spin(M_PI + t2.first);
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fixmatrix(T1);
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heptagon *hnew = build_child(h, d, get_adj(h, d).first, get_adj(h, d).second);
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altmap[alt].emplace_back(hnew, T1);
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syntetic_gmatrix[hnew] = make_pair(alt, T1);
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}
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set<heptagon*> visited;
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queue<pair<heptagon*, transmatrix>> drawqueue;
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void enqueue(heptagon *h, const transmatrix& T) {
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if(visited.count(h)) { return; }
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visited.insert(h);
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drawqueue.emplace(h, T);
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}
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pair<ld, ld>& get_triangle(heptagon *h, int cid) {
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return triangles[id_of(h)][(parent_index_of(h) + cid + MODFIXER) % neighbors_of(h)];
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}
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pair<int, int>& get_adj(heptagon *h, int cid) {
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return adjacent[id_of(h)][(parent_index_of(h) + cid + MODFIXER) % neighbors_of(h)];
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}
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pair<int, int>& get_adj(const pair<int, int>& p, int delta) {
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return adjacent[p.first][(p.second + delta + MODFIXER) % isize(adjacent[p.first])];
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}
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pair<ld, ld>& get_triangle(const pair<int, int>& p, int delta) {
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return triangles[p.first][(p.second + delta + MODFIXER) % isize(adjacent[p.first])];
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}
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transmatrix adjcell_matrix(heptagon *h, int d) {
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auto& t1 = get_triangle(h, d);
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heptagon *h2 = h->move(d);
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int d2 = h->c.spin(d);
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auto& t2 = get_triangle(h2, d2);
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return spin(-t1.first) * xpush(t1.second) * spin(M_PI + t2.first);
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}
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void draw() {
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visited.clear();
|
|
enqueue(viewctr.at, cview());
|
|
int idx = 0;
|
|
|
|
while(!drawqueue.empty()) {
|
|
auto p = drawqueue.front();
|
|
drawqueue.pop();
|
|
heptagon *h = p.first;
|
|
transmatrix V = p.second;
|
|
int id = id_of(h);
|
|
int S = isize(triangles[id]);
|
|
|
|
if(!nonbitrunc || id < 2*N) {
|
|
if(!dodrawcell(h->c7)) continue;
|
|
drawcell(h->c7, V, 0, false);
|
|
}
|
|
|
|
for(int i=0; i<S; i++) {
|
|
h->cmove(i);
|
|
if(nonbitrunc && id >= 2*N && h->move(i) && id_of(h->move(i)) >= 2*N) continue;
|
|
enqueue(h->move(i), V * adjcell_matrix(h, i));
|
|
}
|
|
idx++;
|
|
}
|
|
}
|
|
|
|
transmatrix relative_matrix(heptagon *h2, heptagon *h1) {
|
|
if(gmatrix0.count(h2->c7) && gmatrix0.count(h1->c7))
|
|
return inverse(gmatrix0[h1->c7]) * gmatrix0[h2->c7];
|
|
transmatrix gm = Id, where = Id;
|
|
while(h1 != h2) {
|
|
for(int i=0; i<neighbors_of(h1); i++) if(h1->move(i) == h2) {
|
|
return gm * adjcell_matrix(h1, i) * where;
|
|
}
|
|
else if(h1->distance > h2->distance) {
|
|
gm = gm * adjcell_matrix(h1, 0);
|
|
h1 = h1->move(0);
|
|
}
|
|
else {
|
|
where = inverse(adjcell_matrix(h2, 0)) * where;
|
|
h2 = h2->move(0);
|
|
}
|
|
}
|
|
return gm * where;
|
|
}
|
|
|
|
int fix(heptagon *h, int spin) {
|
|
int type = isize(adjacent[id_of(h)]);
|
|
spin %= type;
|
|
if(spin < 0) spin += type;
|
|
return spin;
|
|
}
|
|
|
|
void parse_symbol(string s) {
|
|
int at = 0;
|
|
|
|
auto peek = [&] () { if(at == isize(s)) return char(0); else return s[at]; };
|
|
auto isnumber = [&] () { char p = peek(); return p >= '0' && p <= '9'; };
|
|
auto read_number = [&] () { int result = 0; while(isnumber()) result = 10 * result + peek() - '0', at++; return result; };
|
|
|
|
faces.clear(); nflags.clear();
|
|
have_line = false;
|
|
have_ph = false;
|
|
while(true) {
|
|
if(peek() == ')' || peek() == '^' || (peek() == '(' && isize(faces)) || peek() == 0) break;
|
|
else if((peek() == 'L' || peek() == 'l') && faces.size())
|
|
nflags.back() |= sfLINE, have_line = true, at++;
|
|
else if((peek() == 'H' || peek() == 'h') && faces.size())
|
|
nflags.back() |= sfPH, have_ph = true, at++;
|
|
else if(isnumber()) faces.push_back(read_number()), nflags.push_back(0);
|
|
else at++;
|
|
}
|
|
repetition = 1;
|
|
N = isize(faces);
|
|
invert.clear(); invert.resize(N, true);
|
|
adj.clear(); adj.resize(N, 0); for(int i=0; i<N; i++) adj[i] = i;
|
|
while(peek() != 0) {
|
|
if(peek() == '^') at++, repetition = read_number();
|
|
else if(peek() == '(') {
|
|
at++; int a = read_number(); while(!isnumber() && !among(peek(), '(', '[', ')',']', 0)) at++;
|
|
if(isnumber()) { int b = read_number(); adj[a] = b; adj[b] = a; invert[a] = invert[b] = false; }
|
|
else { invert[a] = false; }
|
|
}
|
|
else if(peek() == '[') {
|
|
at++; int a = read_number(); while(!isnumber() && !among(peek(), '(', '[', ')',']', 0)) at++;
|
|
if(isnumber()) { int b = read_number(); adj[a] = b; adj[b] = a; invert[a] = invert[b] = true; }
|
|
else { invert[a] = true; }
|
|
}
|
|
else at++;
|
|
}
|
|
prepare();
|
|
}
|
|
|
|
#if CAP_COMMANDLINE
|
|
int readArgs() {
|
|
using namespace arg;
|
|
|
|
if(0) ;
|
|
else if(argis("-symbol")) {
|
|
targetgeometry = gSyntetic;
|
|
if(targetgeometry != geometry)
|
|
stop_game_and_switch_mode(rg::geometry);
|
|
showstartmenu = false;
|
|
shift(); parse_symbol(args());
|
|
}
|
|
else if(argis("-dgeom")) debug_geometry = true;
|
|
else return 1;
|
|
return 0;
|
|
}
|
|
#endif
|
|
|
|
#if CAP_COMMANDLINE
|
|
auto hook =
|
|
addHook(hooks_args, 100, readArgs);
|
|
#endif
|
|
|
|
int support_threecolor() {
|
|
if(nonbitrunc)
|
|
return
|
|
(isize(faces) == 3 && faces[0] % 2 == 0 && faces[1] % 2 == 0 && faces[2] % 2 == 0 && tilegroup[N*2] == 3) ? 2 :
|
|
tilegroup[N*2] > 1 ? 1 :
|
|
0;
|
|
for(int i: faces) if(faces[i] % 2) return tilegroup[N*2] > 1 ? 1 : 0;
|
|
return 2;
|
|
}
|
|
|
|
int support_graveyard() {
|
|
if(!nonbitrunc) return 2;
|
|
return
|
|
isize(synt::faces) == 3 && synt::faces[0] % 2 == 0 ? 2 :
|
|
synt::have_ph ? 1 :
|
|
0;
|
|
}
|
|
|
|
bool support_chessboard() {
|
|
return 0;
|
|
}
|
|
|
|
bool pseudohept(int id) {
|
|
return flags[id] & synt::sfPH;
|
|
}
|
|
|
|
bool linespattern(cell *c) {
|
|
return flags[id_of(c->master)] & synt::sfLINE;
|
|
}
|
|
|
|
int threecolor(int id) {
|
|
if(nonbitrunc)
|
|
return tilegroup[id];
|
|
else {
|
|
if(support_threecolor() == 2) return id < N * 2 ? (id&1) : 2;
|
|
return tilegroup[id];
|
|
}
|
|
}
|
|
|
|
}
|
|
|
|
} |