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embeddings:: emb_euc_cylinder simplified and generalized to hyperbolic

This commit is contained in:
Zeno Rogue 2023-01-27 10:07:40 +01:00
parent 85dffdbeff
commit e4239a11a4
1 changed files with 6 additions and 19 deletions
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25
embeddings.cpp
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@ -242,7 +242,7 @@ EX }
virtual hyperpoint actual_to_base(hyperpoint h) = 0;
virtual transmatrix actual_to_base(const transmatrix &T) = 0;
virtual hyperpoint normalize_flat(hyperpoint a) { return flatten(normalize(a)); }
virtual hyperpoint flatten(hyperpoint a) { auto i = actual_to_intermediate(a); auto l = intermediate_to_logical * i; l[2] = center_z(); i = logical_to_intermediate * l; return intermediate_to_actual(i); }
virtual hyperpoint flatten(hyperpoint a) { auto i = actual_to_intermediate(a); auto l = intermediate_to_logical * i; l[2] = 0; i = logical_to_intermediate * l; return intermediate_to_actual(i); }
virtual transmatrix get_radar_transform(const transmatrix& V);
virtual transmatrix get_lsti() { return Id; }
virtual transmatrix get_lti() { return logical_scaled_to_intermediate; }
@ -548,36 +548,23 @@ struct emb_euc_in_sl2 : emb_euclid_noniso {
}
};
/* for both seCylinderH and seCylinderE. Possibly actually works for CliffordTorus too */
struct emb_euc_cylinder : emb_euclid_noniso {
bool is_cylinder() override { return true; }
ld center_z() override { return 1; }
bool is_depth_limited() override { return true; }
transmatrix get_lsti() override { return cspin90(0, 1); }
hyperpoint actual_to_intermediate(hyperpoint a) override {
ld z0 = hypot(a[1], a[2]);
ld z0 = asin_auto(hypot(a[1], a[2]));
ld x0 = a[0];
if(hyperbolic) x0 = asinh(x0 / acosh(z0));
if(z0 == 0) return hyperpoint(x0, 0, 0, 1);
x0 = asin_auto(x0 / cos_auto(z0));
ld y0 = z0 ? atan2(a[1], a[2]) : 0;
return hyperpoint(x0, y0, z0, 1);
return point31(x0, y0, z0-1);
}
ld get_logical_z(hyperpoint a) override { return hypot(a[1], a[2]) - 1; }
transmatrix intermediate_to_actual_translation(hyperpoint i) override {
return xpush(i[0]) * cspin(1, 2, i[1]) * zpush(i[2]);
}
hyperpoint orthogonal_move(const hyperpoint& a, ld z) override {
auto hf = a / a[3];
ld z0 = hypot(a[1], a[2]);
if(!z0) return hf;
ld f = ((z0 + z) / z0);
hf[1] *= f; hf[2] *= f;
return hf;
}
hyperpoint flatten(hyperpoint h) {
h /= h[3];
ld z = hypot(h[1], h[2]);
if(z > 0) h[1] /= z, h[2] /= z;
return h;
}
};
struct emb_euc_in_sph : emb_euclid_noniso {