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euclid:: sample tori

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This commit is contained in:
Zeno Rogue 2019-11-27 22:01:36 +01:00
parent 9ce5687f57
commit d6a38524a0
1 changed files with 50 additions and 3 deletions
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53
euclid.cpp
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@ -536,7 +536,9 @@ EX namespace euclid3 {
void swap01(transmatrix& M) {
for(int i=0; i<4; i++) swap(M[i][0], M[i][1]);
}
gp::loc ort1() { return (S3 == 3 ? gp::loc(1, -2) : gp::loc(0, 1)); }
EX coord twist(coord x, array<int, 3>& d, transmatrix& M, bool& mirr) {
if(WDIM == 3) {
auto coo = getcoord(x);
@ -559,7 +561,7 @@ EX namespace euclid3 {
else {
auto crd = getcoord(x);
gp::loc coo = gp::loc(crd[0], crd[1]);
gp::loc ort = (S3 == 3 ? gp::loc(1, -2) : gp::loc(0, 1)) * twisted_vec;
gp::loc ort = ort1() * twisted_vec;
int dsc = dscalar(twisted_vec, twisted_vec);
gp::loc d0 (d[0], d[1]);
hyperpoint h = eumove(as_coord(twisted_vec)) * C0;
@ -645,6 +647,42 @@ EX namespace euclid3 {
quickqueue();
}
using torus_config = pair<euclid3::intmatrix, int>;
euclid3::intmatrix on_periods(gp::loc a, gp::loc b) {
euclid3::intmatrix res;
for(int i=0; i<3; i++) for(int j=0; j<3; j++) res[i][j] = 0;
res[0][0] = a.first;
res[0][1] = a.second;
res[1][0] = b.first;
res[1][1] = b.second;
res[2][2] = 1;
return res;
}
torus_config single_row_torus(int qty, int dy) {
return { on_periods({qty, 0}, {dy, -1}), false };
}
torus_config regular_torus(gp::loc p) {
return { on_periods(p, gp::loc(0,1) * p), false };
}
torus_config rectangular_torus(int x, int y, bool klein) {
if(S3 == 3) y /= 2;
return { on_periods(euclid3::ort1() * gp::loc(y,0), gp::loc(x,0)), klein?8:0 };
}
void torus_config_option(string name, char key, torus_config tc) {
dialog::addBoolItem(name, make_pair(T_edit, twisted_edit) == tc && PURE, key);
dialog::add_action([tc] {
tie(euclid3::T0, euclid3::twisted0) = tc;
tie(T_edit, twisted_edit) = tc;
set_variation(eVariation::pure);
start_game();
});
}
EX void show_torus3() {
int dim = WDIM;
cmode = sm::SIDE | sm::MAYDARK | sm::TORUSCONFIG;
@ -707,6 +745,15 @@ EX namespace euclid3 {
dialog::addBoolItem(XLAT("mirror flip in the second period"), twisted_edit & 8, 'x');
dialog::add_action([] { twisted_edit ^= 8; });
}
dialog::addBreak(50);
torus_config_option(XLAT("single-cell torus"), 'A', regular_torus({1,0}));
torus_config_option(XLAT("large regular torus"), 'B', regular_torus({12, 0}));
torus_config_option(XLAT("Klein bottle"), 'C', rectangular_torus(12, 6, true));
torus_config_option(XLAT("cylinder"), 'D', rectangular_torus(6, 0, false));
torus_config_option(XLAT("Möbius band"), 'E', rectangular_torus(6, 0, true));
if(S3 == 3) torus_config_option(XLAT("seven-colorable torus"), 'F', regular_torus({1,2}));
if(S3 == 3) torus_config_option(XLAT("HyperRogue classic torus"), 'G', single_row_torus(381, -22));
}
dialog::addBreak(50);
@ -911,7 +958,7 @@ EX bool chiral(gp::loc g) {
EX void twist_once(gp::loc coo) {
coo = coo - euclid3::twisted_vec * gp::univ_param();
if(euclid3::twisted&8) {
gp::loc ort = (S3 == 3 ? gp::loc(1, -2) : gp::loc(0, 1)) * euclid3::twisted_vec * gp::univ_param();
gp::loc ort = euclid3::ort1() * euclid3::twisted_vec * gp::univ_param();
auto s = ort * dscalar(coo, ort) * 2;
auto v = dscalar(ort, ort);
s.first /= v;