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rug:: conformal tori

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This commit is contained in:
Zeno Rogue 2019-12-09 00:40:51 +01:00
parent 9736068810
commit 886d9d1619
2 changed files with 26 additions and 9 deletions
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2
hypgraph.cpp
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@ -39,7 +39,7 @@ EX bool non_spatial_model() {
return pmodel && vid.consider_shader_projection && (get_shader_flags() & SF_DIRECT);
}
hyperpoint perspective_to_space(hyperpoint h, ld alpha, eGeometryClass gc) {
EX hyperpoint perspective_to_space(hyperpoint h, ld alpha, eGeometryClass gc) {
ld hx = h[0], hy = h[1];
if(gc == gcEuclid)

33
rug.cpp
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@ -439,7 +439,7 @@ EX void buildTorusRug() {
hyperpoint yh = euc::eumove(p2)*C0-C0;
if(nonorientable) yh *= 2;
bool flipped = sqhypot_d(2, xh) < sqhypot_d(2, yh);
bool flipped = false; // sqhypot_d(2, xh) < sqhypot_d(2, yh);
if(flipped) swap(xh, yh);
@ -461,6 +461,12 @@ EX void buildTorusRug() {
map<pair<int, int>, rugpoint*> glues;
ld mx = 0;
for(int i=0; i<1000; i++)
mx = max(mx, hypot(xfactor, yfactor * sin(i)) / (1-yfactor * cos(i)));
println(hlog, "mx = ", mx);
auto addToruspoint = [&] (hyperpoint h) {
auto r = addRugpoint(C0, 0);
hyperpoint onscreen;
@ -472,14 +478,25 @@ EX void buildTorusRug() {
double alpha = -h[0] * 2 * M_PI;
double beta = h[1] * 2 * M_PI;
if(gwhere == gSphere) {
ld ax = alpha + 1.124651, bx = beta + 1.214893;
ld x = xfactor * sin(ax), y = xfactor * cos(ax), z = yfactor * sin(bx), t = yfactor * cos(bx);
ld d = acos(t) / sqrt(x*x+y*y+z*z);
r->flat = r->h = hpxyz(x * d, y * d, z * d);
ld ax = alpha + 1.124651, bx = beta + 1.214893;
ld x = xfactor * sin(ax), y = xfactor * cos(ax), z = yfactor * sin(bx), t = yfactor * cos(bx);
ld d;
ld hxyz = sqrt(x*x+y*y+z*z);
if(gwhere == gNormal) {
d = hxyz / (1-t) / mx;
d *= .95;
hyperpoint test = hpxy(d, 0);
test = perspective_to_space(test, 1, gcHyperbolic);
d = acosh(test[2]) / hxyz;
}
else
r->flat = r->h = modelscale * hpxyz((xfactor+yfactor*cos(beta)) * cos(alpha), (xfactor+yfactor*cos(beta)) * sin(alpha), yfactor*-sin(beta));
else {
d = (gwhere == gSphere) ? acos(t) / hxyz : modelscale * 3 / (1-t) / mx;
}
r->flat = r->h = hpxyz(x*d, y*d, z*d);
r->valid = true;
static const int X = 100003; // a prime