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better isometry in Nil cylinder

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Zeno Rogue 2023-01-30 17:16:35 +01:00
parent 0b11c9388b
commit a84596a355
1 changed files with 12 additions and 3 deletions
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13
embeddings.cpp
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@ -676,6 +676,15 @@ 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 {
@ -711,7 +720,7 @@ struct emb_euc_cylinder_sl2 : emb_euc_cylinder {
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 { transmatrix get_lsti() override {
return cspin90(0, 2); return cspin90(0, 2) * cspin90(0, 1);
} }
}; };
@ -793,9 +802,9 @@ void embedding_method::prepare_lta() {
if(b) geom3::light_flip(false); if(b) geom3::light_flip(false);
logical_scaled_to_intermediate = get_lsti(); logical_scaled_to_intermediate = get_lsti();
intermediate_to_logical_scaled = inverse(logical_scaled_to_intermediate);
logical_to_intermediate = get_lti(); logical_to_intermediate = get_lti();
intermediate_to_logical = inverse(logical_to_intermediate); intermediate_to_logical = inverse(logical_to_intermediate);
intermediate_to_logical_scaled = inverse(logical_scaled_to_intermediate);
if(b) geom3::light_flip(true); if(b) geom3::light_flip(true);
} }