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new embedding: Euclidean cylinder

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Zeno Rogue
2023-01-24 15:17:09 +01:00
parent bab78c8179
commit 8744420504
7 changed files with 75 additions and 7 deletions
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34
hyperpoint.cpp
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@@ -629,6 +629,12 @@ EX hyperpoint normalize_flat(hyperpoint h) {
h1[2] = 0;
return parabolic13(h1);
}
if(geom3::euc_cylinder()) {
h /= h[3];
ld z = h[1] * h[1] + h[2] * h[2];
if(z > 0) h[1] /= z, h[2] /= z;
return h;
}
if(geom3::sph_in_euc()) {
ld z = hypot_d(3, h);
if(z > 0) h[0] /= z, h[1] /= z, h[2] /= z;
@@ -883,6 +889,14 @@ EX hyperpoint orthogonal_move(const hyperpoint& h, ld z) {
hf[3] = 1;
return hf;
}
if(geom3::euc_cylinder()) {
auto hf = h / h[3];
ld z0 = hypot(h[1], h[2]);
if(!z0) return hf;
ld f = ((z0 + z) / z0);
hf[1] *= f; hf[2] *= f;
return hf;
}
if(geom3::hyp_in_solnih()) {
return nisot::translate(h) * cpush0(0, z);
}
@@ -946,6 +960,9 @@ EX ld get_logical_z(hyperpoint h) {
auto h1 = h / exp(bz);
return asin_auto(h1[1]);
}
if(geom3::euc_cylinder()) {
return hypot(h[1], h[2]) - 1;
}
if(gproduct)
return log(h[2]);
return asin_auto(h[2]) - (moved_center() ? 1 : 0);
@@ -999,6 +1016,13 @@ EX void swapmatrix(transmatrix& T) {
for(int i=0; i<4; i++) T[i][3] = T[3][i] = i == 3;
}
}
else if(geom3::euc_cylinder()) {
if(!geom3::flipped) {
hyperpoint h1 = cgi.logical_to_intermediate * get_column(T, 2);
T = xpush(h1[0]) * cspin(1, 2, h1[1]);
return;
}
}
else if(geom3::euc_in_nil()) {
if(!geom3::flipped) {
hyperpoint h1 = cgi.logical_to_intermediate * get_column(T, 2);
@@ -1054,6 +1078,14 @@ EX void swapmatrix(hyperpoint& h) {
if(geom3::in_product()) return;
if(geom3::sph_in_euc()) { h[3] = 1; return; }
if(geom3::sph_in_hyp()) { h[0] *= sinh(1); h[1] *= sinh(1); h[2] *= sinh(1); h[3] = cosh(1); return; }
if(geom3::euc_cylinder()) {
hyperpoint h1 = cgi.logical_to_intermediate * h;
h[0] = h1[0];
h[1] = sin(h1[1]);
h[2] = cos(h1[1]);
h[3] = 1;
return;
}
if(geom3::euc_in_nil()) { h = cgi.logical_to_intermediate * h; h[3] = 1; h[1] = 0; return; }
if(geom3::euc_in_sl2()) {
hyperpoint h1 = cgi.logical_to_intermediate * h; h1[1] = 0;
@@ -1660,6 +1692,7 @@ EX bool moved_center() {
if(geom3::sph_in_euc()) return true;
if(geom3::sph_in_hyp()) return true;
if(geom3::euc_in_sph()) return true;
if(geom3::euc_cylinder()) return true;
return false;
}
@@ -1668,6 +1701,7 @@ EX hyperpoint tile_center() {
if(geom3::sph_in_euc()) return C02 + C03;
if(geom3::euc_in_sph()) return zpush0(1);
if(geom3::sph_in_hyp()) return zpush0(1);
if(geom3::euc_cylinder()) return zpush0(1);
return C0;
}