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hat:: relative_matrix computation
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@ -401,6 +401,16 @@ struct hrmap_hat : hrmap {
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// vertices of each type of hat
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vector<hyperpoint> hatcorners[2];
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struct memo_matrix : transmatrix {
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bool known;
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transmatrix& get() { return (transmatrix&) (*this); }
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void clear() { known = false; }
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void set(const transmatrix& T) { known = true; get() = T; }
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};
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memo_matrix adj_memo[2][2][14][14];
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vector<vector<memo_matrix>> long_transformations;
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void init() {
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transmatrix T = Id;
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@ -486,7 +496,46 @@ struct hrmap_hat : hrmap {
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for(int b=0; b<2; b++)
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for(int c=0; c<14; c++)
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for(int d=0; d<14; d++)
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is_known[a][b][c][d] = false;
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adj_memo[a][b][c][d].clear();
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auto& lt = long_transformations;
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lt.clear();
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lt.resize(1);
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lt[0].resize(relations+1);
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for(auto& t: lt[0]) t.clear();
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lt[0][0].set(Id);
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lt[0][1].set(Id);
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lt.resize(20, lt[0]);
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while(true) {
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int chg = 0;
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int unknown = 0;
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int errors = 0;
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auto products_equal = [&] (memo_matrix& A, memo_matrix& B, memo_matrix& C, memo_matrix& D) {
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if(A.known && B.known && C.known && D.known) {
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if(!eqmatrix(A*B, C*D)) errors++;
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}
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else if(B.known && C.known && D.known) chg++, A.set( C * D * inverse(B) );
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else if(A.known && C.known && D.known) chg++, B.set( inverse(A) * C * D );
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else if(A.known && B.known && D.known) chg++, C.set( A * B * inverse(D) );
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else if(A.known && B.known && C.known) chg++, D.set( inverse(C) * A * B );
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else unknown++;
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};
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for(auto& b: rules_base) {
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products_equal(lt[0][b.id0+1], adj(b.id0==0, fix(b.edge0), b.id1==0, fix(b.edge1)), lt[1][b.master_connection+1], lt[0][b.id1+1]);
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}
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for(int k=1; k<19; k++) for(auto& b: rules_recursive) {
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products_equal(lt[k+1][b.id0+1], lt[k][b.child+1], lt[k+1][b.parent+1], lt[k+1][b.id1+1]);
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}
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if(debugflags & DF_GEOM) println(hlog, "changed = ", chg, " unknown = ", unknown, " errors = ", errors);
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if(!chg) break;
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}
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}
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constexpr static int relations = 34;
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@ -597,12 +646,9 @@ struct hrmap_hat : hrmap {
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return adj(t0, d0, t1, d1);
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}
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bool is_known[2][2][14][14];
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transmatrix adj_memo[2][2][14][14];
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transmatrix adj(int t0, int d0, int t1, int d1) {
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if(is_known[t0][t1][d0][d1])
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return adj_memo[t0][t1][d0][d1];
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memo_matrix& adj(int t0, int d0, int t1, int d1) {
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auto& mm = adj_memo[t0][t1][d0][d1];
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if(mm.known) return mm;
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int n = isize(hatcorners[0]);
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@ -636,9 +682,8 @@ struct hrmap_hat : hrmap {
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geom3::light_flip(false);
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}
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is_known[t0][t1][d0][d1] = true;
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adj_memo[t0][t1][d0][d1] = T;
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return T;
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mm.set(T);
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return mm;
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}
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void build_cells(heptagon *h) {
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@ -658,6 +703,18 @@ struct hrmap_hat : hrmap {
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build_cells(origin);
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}
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transmatrix relative_matrixh(heptagon *h2, heptagon *h1, const hyperpoint& hint) override {
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if(h1 == h2) return Id;
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int d = h2->distance + 2;
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return iso_inverse(long_transformations[d][h1->c.spin(0)]) * relative_matrixh(h2->move(0), h1->move(0), hint) * long_transformations[d][h2->c.spin(0)];
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}
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transmatrix relative_matrixc(cell *c2, cell *c1, const hyperpoint& hint) override {
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if(c1 == c2) return Id;
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transmatrix T = iso_inverse(long_transformations[0][hat_id(c1)+1]) * relative_matrixh(c2->master, c1->master, hint) * long_transformations[0][hat_id(c2)+1];
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return T;
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}
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~hrmap_hat() {
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clearfrom(origin);
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}
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