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embeddings:: actually implemented emb_euc_cylinder_sl2

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Zeno Rogue 2023-02-15 14:47:44 +01:00
parent 37aa0dadee
commit f252456578
1 changed files with 16 additions and 16 deletions
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32
embeddings.cpp
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@ -775,8 +775,20 @@ struct emb_euc_cylinder_he : emb_euc_cylinder {
} }
}; };
struct emb_euc_cylinder_nil : emb_euc_cylinder { struct emb_euc_cylinder_twisted : emb_euc_cylinder {
transmatrix get_lsti() override { return cspin90(0, 2) * cspin90(0, 1); } transmatrix get_lsti() override { return cspin90(0, 2) * cspin90(0, 1); }
transmatrix get_lti() override {
ld depth = 0; // for now?
ld alpha = nil ? (1 + depth) / 2. : sinh(1 + depth) / 2.;
ld c = pow(1 + alpha * alpha, -0.5);
transmatrix U = Id;
U[1][1] = (alpha*alpha+1) * c;
U[0][1] = alpha * c;
return logical_scaled_to_intermediate * U * intermediate_to_logical_scaled * emb_euc_cylinder::get_lti();
}
};
struct emb_euc_cylinder_nil : emb_euc_cylinder_twisted {
hyperpoint actual_to_intermediate(hyperpoint a) override { hyperpoint actual_to_intermediate(hyperpoint a) override {
ld y0 = atan2(a[1], a[0]); ld y0 = atan2(a[1], a[0]);
ld x0 = hypot(a[0], a[1]); ld x0 = hypot(a[0], a[1]);
@ -785,15 +797,6 @@ struct emb_euc_cylinder_nil : emb_euc_cylinder {
transmatrix intermediate_to_actual_translation(hyperpoint i) override { transmatrix intermediate_to_actual_translation(hyperpoint i) override {
return zpush(i[2]) * cspin(1, 0, i[1]) * xpush(i[0]); return zpush(i[2]) * cspin(1, 0, i[1]) * xpush(i[0]);
} }
transmatrix get_lti() override {
ld depth = 0; // for now?
ld alpha = (1 + depth) / 2.;
ld c = pow(1 + alpha * alpha, -0.5);
transmatrix U = Id;
U[1][1] = (alpha*alpha+1) * c;
U[0][1] = alpha * c;
return logical_scaled_to_intermediate * U * intermediate_to_logical_scaled * emb_euc_cylinder::get_lti();
}
}; };
struct emb_euc_cylinder_horo : emb_euc_cylinder { struct emb_euc_cylinder_horo : emb_euc_cylinder {
@ -814,23 +817,20 @@ struct emb_euc_cylinder_horo : emb_euc_cylinder {
} }
}; };
struct emb_euc_cylinder_sl2 : emb_euc_cylinder { struct emb_euc_cylinder_sl2 : emb_euc_cylinder_twisted {
bool no_spin() override { return true; } bool no_spin() override { return true; }
hyperpoint actual_to_intermediate(hyperpoint a) override { hyperpoint actual_to_intermediate(hyperpoint a) override {
hyperpoint i = point31(0, 0, 0); hyperpoint i = point31(0, 0, 0);
i[2] = atan2(a[2], a[3]); i[2] = atan2(a[2], a[3]);
a = cspin(1, 0, i[2]) * cspin(3, 2, i[2]) * a; a = cspin(1, 0, i[2]) * cspin(3, 2, i[2]) * a;
i[1] = (a[0] || a[1]) ? atan2(a[0], a[1]) : 0; i[1] = (a[0] || a[1]) ? -atan2(a[1], a[0]) : 0;
a = cspin(1, 0, i[1]) * a; a = cspin(1, 0, i[1]) * a;
i[0] = asinh(a[0]); i[0] = asinh(a[0])-1;
return i; return i;
} }
transmatrix intermediate_to_actual_translation(hyperpoint i) override { transmatrix intermediate_to_actual_translation(hyperpoint i) override {
return cspin(2, 3, i[2]) * cspin(0, 1, i[2] + i[1]) * xpush(i[0]); return cspin(2, 3, i[2]) * cspin(0, 1, i[2] + i[1]) * xpush(i[0]);
} }
transmatrix get_lsti() override {
return cspin90(0, 2) * cspin90(0, 1);
}
}; };
struct emb_euc_in_sph : emb_euclid_noniso { struct emb_euc_in_sph : emb_euclid_noniso {