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made Archimedean more stable

This commit is contained in:
Zeno Rogue 2018-11-10 11:51:47 +01:00
parent ec0dae48c1
commit 3f8194746a

View File

@ -520,6 +520,20 @@ void connectHeptagons(heptspin hi, heptspin hs) {
// heptagon *hnew = build_child(h, d, get_adj(h, d).first, get_adj(h, d).second); // heptagon *hnew = build_child(h, d, get_adj(h, d).first, get_adj(h, d).second);
} }
// T and X are supposed to be equal -- move T so that it is closer to X
void fixup_matrix(transmatrix& T, const transmatrix& X, ld step) {
for(int i=0; i<3; i++)
for(int j=0; j<3; j++)
T[i][j] = (T[i][j] * (1-step) + X[i][j] * step);
/*
for(int i=0; i<3; i++)
for(int j=0; j<3; j++)
if(T[i][j] - X[i][j] > 1e-3) exit(1);
*/
fixmatrix(T);
}
void create_adjacent(heptagon *h, int d) { void create_adjacent(heptagon *h, int d) {
SDEBUG( printf("%p.%d ~ ?\n", h, d); ) SDEBUG( printf("%p.%d ~ ?\n", h, d); )
@ -532,15 +546,18 @@ void create_adjacent(heptagon *h, int d) {
// * spin(-tri[id][pi+i].first) * xpush(t.second) * pispin * spin(tri[id'][p'+d'].first) // * spin(-tri[id][pi+i].first) * xpush(t.second) * pispin * spin(tri[id'][p'+d'].first)
auto& p = archimedean_gmatrix[h]; auto& p1 = archimedean_gmatrix[h];
heptagon *alt = p.first; heptagon *alt = p1.first;
transmatrix T = p.second * spin(-t1.first) * xpush(t1.second); transmatrix T = p1.second * spin(-t1.first) * xpush(t1.second);
transmatrix U = Id;
if(hyperbolic) { if(hyperbolic) {
dynamicval<eGeometry> g(geometry, gNormal); dynamicval<eGeometry> g(geometry, gNormal);
U = T;
virtualRebaseSimple(alt, T); virtualRebaseSimple(alt, T);
U = U * inverse(T);
} }
if(euclid) if(euclid)
@ -548,15 +565,26 @@ void create_adjacent(heptagon *h, int d) {
SDEBUG( printf("look for: %p / %s\n", alt, display(T * C0)); ) SDEBUG( printf("look for: %p / %s\n", alt, display(T * C0)); )
for(auto& p: altmap[alt]) if(intval(p.second * C0, T * C0) < 1e-4) { for(auto& p2: altmap[alt]) if(intval(p2.second * C0, T * C0) < 1e-4) {
SDEBUG( printf("cell found: %p\n", p.first); ) SDEBUG( printf("cell found: %p\n", p2.first); )
for(int d2=0; d2<p.first->degree(); d2++) { for(int d2=0; d2<p2.first->degree(); d2++) {
heptspin hs(p.first, d2); heptspin hs(p2.first, d2);
auto& t2 = current.get_triangle(p.first, d2); auto& t2 = current.get_triangle(p2.first, d2);
transmatrix T1 = T * spin(M_PI + t2.first); transmatrix T1 = T * spin(M_PI + t2.first);
SDEBUG( printf("compare: %s", display(T1 * xpush0(1))); ) SDEBUG( printf("compare: %s", display(T1 * xpush0(1))); )
SDEBUG( printf(":: %s\n", display(p.second * xpush0(1))); ) SDEBUG( printf(":: %s\n", display(p2.second * xpush0(1))); )
if(intval(T1 * xpush0(1), p.second * xpush0(1)) < 1e-4) { if(intval(T1 * xpush0(1), p2.second * xpush0(1)) < 1e-4) {
// T1 = p2.second
// T * spin(pi+t2.first) == p2.second
// p1.second * spinm(-t1.first) * xpush(t1.second) * spin(pi+t2.first) == p2.second
// bring p1 and p2 closer, to prevent floating point errors
if(hyperbolic) {
fixup_matrix(p1.second, U * p2.second * spin(-M_PI - t2.first) * xpush(-t1.second) * spin(t1.first), 0.25);
fixup_matrix(p2.second, T1, 0.25);
}
while(skip_digons(hs, -1)) hs--; while(skip_digons(hs, -1)) hs--;
connectHeptagons(hi, hs); connectHeptagons(hi, hs);
connect_digons_too(hi, hs); connect_digons_too(hi, hs);