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intra:: non-regular-shaped portals e.g. right-angled triangles

This commit is contained in:
Zeno Rogue 2021-10-08 11:27:23 +02:00
parent be1df0a68d
commit 57e58b3302
2 changed files with 36 additions and 22 deletions
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48
intra.cpp
View File

@ -54,6 +54,7 @@ hyperpoint portal_data::to_poco(hyperpoint h) const {
h[3] = 1;
}
else {
h = T * h;
h[0] /= h[2];
h[1] /= h[2];
h[2] = dec.first - d;
@ -103,7 +104,7 @@ hyperpoint portal_data::from_poco(hyperpoint h) const {
}
h[2] = 1;
auto z = product_decompose(h).first;
return h * exp(d+xd-z);
return iT * h * exp(d+xd-z);
}
else if(prod && kind == 0) {
auto h0 = h;
@ -130,7 +131,7 @@ hyperpoint portal_data::from_poco(hyperpoint h) const {
EX portal_data make_portal(cellwalker cw, int spin) {
auto& ss = currentmap->get_cellshape(cw.at);
auto fac = ss.faces[cw.spin];
auto fac = ss.faces_local[cw.spin];
portal_data id;
id.scale = 1;
auto gg = geometry;
@ -142,6 +143,12 @@ EX portal_data make_portal(cellwalker cw, int spin) {
fac.pop_back();
id.scale = log(2)/2;
}
else {
hyperpoint ctr = Hypc;
for(auto p: fac) ctr += product_decompose(p).second;
ctr = normalize_flat(ctr);
id.T = gpushxto0(ctr);
}
}
else if(prod) {
id.kind = 0;
@ -161,28 +168,30 @@ EX portal_data make_portal(cellwalker cw, int spin) {
}
else if(bt::in()) {
hyperpoint removed = Hypc;
for(int i=0; i<isize(fac); i++) {
int i1 = i+1; if(i1 >= isize(fac)) i1 = 0;
int i2 = i1+1; if(i2 >= isize(fac)) i2 = 0;
if(hypot_d(3, 2*fac[i1] - fac[i] - fac[i2]) < 1e-3) {
auto facmod = fac;
if(hyperbolic) for(auto& h: facmod) h = deparabolic13(h);
for(int i=0; i<isize(facmod); i++) {
int i1 = i+1; if(i1 >= isize(facmod)) i1 = 0;
int i2 = i1+1; if(i2 >= isize(facmod)) i2 = 0;
if(hypot_d(3, 2*facmod[i1] - facmod[i] - facmod[i2]) < 1e-3) {
removed = fac[i1];
facmod.erase(facmod.begin()+i1);
fac.erase(fac.begin()+i1);
}
}
id.kind = 0;
id.v0 = Hypc;
id.T = Id;
for(auto& h: fac) h[3] = 1;
auto fac1 = fac;
auto fac1 = fac;
auto to_coords = [] (hyperpoint& p) {
if(hyperbolic) {
p[0] *= bt::xy_mul();
p[1] *= bt::xy_mul();
p[2] *= log(2) / 2;
p = deparabolic13(p);
p = hyperpoint(p[1], p[2], p[0], 1);
}
};
for(auto& p: fac1)
to_coords(p);
to_coords(removed);
@ -202,7 +211,7 @@ EX portal_data make_portal(cellwalker cw, int spin) {
if((id.T * removed)[1] < -1e-2) id.T = cspin(0, 1, 180*degree) * id.T;
vector<hyperpoint> v;
geometry = gg;
for(auto f: fac) v.push_back(id.to_poco(final_coords(f)));
for(auto f: fac) v.push_back(id.to_poco(f));
geometry = gCubeTiling;
ld sca = 1;
for(int i=0; i<isize(v); i++)
@ -212,19 +221,22 @@ EX portal_data make_portal(cellwalker cw, int spin) {
}
else {
id.kind = 0;
id.v0 = Hypc;
for(auto p: fac) id.v0 += p;
id.v0 = normalize(id.v0);
id.v0 = project_on_triangle(fac[0], fac[1], fac[2]);
id.T = cpush(2, -hdist0(id.v0)) * cspin(2, 0, 90*degree) * spintox(id.v0);
hyperpoint ctr = Hypc;
for(auto p: fac) ctr += id.T*p;
ctr = normalize(ctr);
id.T = gpushxto0(ctr) * id.T;
}
if(MDIM == 3) for(int i=0; i<4; i++) id.T[3][i] = id.T[i][3] = i==3;
id.iT = inverse(id.T);
if(MDIM == 3) for(int i=0; i<4; i++) id.iT[3][i] = id.iT[i][3] = i==3;
int first = spin;
int second = spin + 1;
first = gmod(first, isize(fac));
second = gmod(second, isize(fac));
id.co0 = id.to_poco(final_coords(fac[first]));
id.co1 = id.to_poco(final_coords(fac[second]));
id.co0 = id.to_poco(fac[first]);
id.co1 = id.to_poco(fac[second]);
if(debug_portal) for(auto p: fac) {
auto p1 = final_coords(p);

10
raycaster.cpp
View File

@ -1013,10 +1013,11 @@ void raygen::emit_intra_portal(int gid1, int gid2) {
if(1) {
string fn = bt::in() ? "to_poco_h2xr_b" : in_h2xe() ? "to_poco_h2xr_h" : "to_poco_s2xr_s";
fmain +=
" mediump mat4 tkt = " + getM("mid+1") + ";\n"
" nposition = position + tangent * xspeed * 1e-3;\n"
" position = "+fn+"(position);\n"
" position = "+fn+"(tkt*position);\n"
" position.z = 0.;\n" // zpos - uPLevel;\n"
" nposition = "+fn+"(nposition);\n"
" nposition = "+fn+"(tkt*nposition);\n"
" nposition.z = zspeed * 1e-3;\n"
" if(pconnection.y < .5) { nposition.z = -nposition.z; nposition.x = -nposition.x; position.x = -position.x; }\n";
}
@ -1086,8 +1087,9 @@ void raygen::emit_intra_portal(int gid1, int gid2) {
" if(pconnection.w < .5) { position.z = -position.z; nposition.z = -nposition.z; nposition.x = -nposition.x; position.x = -position.x; }\n"
" zspeed = (nposition.z - position.z) * 1e3;\n"
" zpos = position.z + (pconnection.w - .5) * 16.;\n"
" position = "+fn+"(position);\n"
" nposition = "+fn+"(nposition);\n"
" mediump mat4 itkt = " + getM("mid+2") + ";\n"
" position = itkt*"+fn+"(position);\n"
" nposition = itkt*"+fn+"(nposition);\n"
" tangent = (nposition - position) * 1e3;\n"
" mediump float pnorm = tangent.z * position.z "+sgn+" tangent.x * position.x "+sgn+" tangent.y * position.y;\n"
" tangent -= position * pnorm;\n"