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refactored all the operations on View

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Zeno Rogue
2019-08-24 18:14:38 +02:00
parent 65ce70cb2c
commit 96d7496043
8 changed files with 189 additions and 153 deletions
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54
nonisotropic.cpp
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@@ -80,7 +80,7 @@ EX namespace solv {
return 0.5 - atan((0.5-x) / y) / M_PI;
}
hyperpoint get_inverse_exp(hyperpoint h, bool lazy, bool just_direction) {
EX hyperpoint get_inverse_exp(hyperpoint h, bool lazy, bool just_direction) {
load_table();
ld ix = h[0] >= 0. ? x_to_ix(h[0]) : x_to_ix(-h[0]);
@@ -1089,23 +1089,6 @@ EX namespace nisot {
return true;
}
#if HDR
enum iePrecision { iLazy, iTable };
#endif
EX hyperpoint inverse_exp(const hyperpoint h, iePrecision p, bool just_direction IS(true)) {
if(sol) return solv::get_inverse_exp(h, p == iLazy, just_direction);
if(nil) return nilv::get_inverse_exp(h, p == iLazy ? 5 : 20);
if(sl2) return slr::get_inverse_exp(h);
if(prod) return product::inverse_exp(h);
return point3(h[0], h[1], h[2]);
}
EX ld geo_dist(const hyperpoint h1, const hyperpoint h2, iePrecision p) {
if(!nonisotropic) return hdist(h1, h2);
return hypot_d(3, inverse_exp(inverse(translate(h1)) * h2, p, false));
}
EX void geodesic_step(hyperpoint& at, hyperpoint& velocity) {
auto acc = christoffel(at, velocity, velocity);
@@ -1119,7 +1102,7 @@ EX namespace nisot {
velocity = velocity + acc;
}
EX hyperpoint direct_exp(hyperpoint v, int steps) {
EX hyperpoint numerical_exp(hyperpoint v, int steps) {
hyperpoint at = point31(0, 0, 0);
v /= steps;
v[3] = 0;
@@ -1127,17 +1110,8 @@ EX namespace nisot {
return at;
}
EX hyperpoint get_exp(hyperpoint v, int steps) {
if(sol) return direct_exp(v, steps);
if(nil) return nilv::formula_exp(v);
if(sl2) return slr::formula_exp(v);
if(prod) return product::direct_exp(v);
return v;
}
EX transmatrix parallel_transport_bare(transmatrix Pos, transmatrix T) {
EX transmatrix parallel_transport_bare(transmatrix Pos, hyperpoint h) {
hyperpoint h = tC0(T);
h[3] = 0;
auto tPos = transpose(Pos);
@@ -1180,31 +1154,17 @@ EX namespace nisot {
T = push * gtl;
}
EX transmatrix parallel_transport(const transmatrix Position, const transmatrix LPe, const transmatrix T) {
EX transmatrix parallel_transport(const transmatrix Position, const transmatrix LPe, hyperpoint h) {
if(prod) {
hyperpoint h = product::direct_exp(inverse(LPe) * product::inverse_exp(tC0(T)));
hyperpoint h = product::direct_exp(inverse(LPe) * product::inverse_exp(h));
return Position * rgpushxto0(h);
}
auto P = Position;
nisot::fixmatrix(P);
if(!geodesic_movement) return inverse(eupush(Position * inverse(T) * inverse(Position) * C0)) * Position;
return parallel_transport_bare(P, T);
if(!geodesic_movement) return inverse(eupush(Position * translate(-h) * inverse(Position) * C0)) * Position;
return parallel_transport_bare(P, h);
}
EX transmatrix transport_view(const transmatrix T, const transmatrix LPe, const transmatrix V) {
if(prod) {
hyperpoint h = product::direct_exp(inverse(LPe) * product::inverse_exp(tC0(T)));
return rgpushxto0(h) * V;
}
if(!geodesic_movement) {
transmatrix IV = inverse(V);
nisot::fixmatrix(IV);
const transmatrix V1 = inverse(IV);
return V1 * eupush(IV * T * V1 * C0);
}
return inverse(parallel_transport(inverse(V), Id, inverse(T)));
}
EX transmatrix spin_towards(const transmatrix Position, const hyperpoint goal) {
hyperpoint at = tC0(Position);