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conical spirals and bands

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Zeno Rogue
2018-12-21 14:42:59 +01:00
parent e2b262979b
commit 3d76e90584
4 changed files with 95 additions and 7 deletions
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60
hypgraph.cpp
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@@ -569,12 +569,26 @@ void applymodel(hyperpoint H, hyperpoint& ret) {
if(hyperbolic) makeband(H, ret, band_conformal);
else ret = H;
z = cld(ret[0], ret[1]) * conformal::spiral_multiplier;
z = exp(z);
ret[0] = real(z);
ret[1] = imag(z);
if(conformal::spiral_cone < 360) {
ld alpha = imag(z) * 360 / conformal::spiral_cone;
ld r = real(z);
r = exp(r);
ret[0] = -sin(alpha) * r;
ret[1] = cos(alpha) * r;
ret[2] = (r-1) * sqrt( pow(360/conformal::spiral_cone, 2) - 1);
conformal::apply_ball(ret[2], ret[1]);
}
else {
z = exp(z);
ret[0] = real(z);
ret[1] = imag(z);
if(vid.skiprope)
ret = mobius(ret, vid.skiprope, 1);
if(vid.skiprope)
ret = mobius(ret, vid.skiprope, 1);
}
}
case mdGUARD: break;
@@ -1502,6 +1516,14 @@ bool do_draw(cell *c, const transmatrix& T) {
ld iz = imag(z) + 1.14279e-2; // make it never fall exactly on PI
if(iz < -M_PI || iz >= M_PI) return false;
}
if(hyperbolic && pmodel == mdSpiral && conformal::ring_not_spiral) {
cld z;
hyperpoint H = tC0(T);
hyperpoint ret;
makeband(H, ret, band_conformal);
z = cld(ret[0], ret[1]) * conformal::spiral_multiplier;
if(imag(z) < -conformal::spiral_cone_rad/2-1e-5 || imag(z) >= conformal::spiral_cone_rad/2-1e-5) return false;
}
if(cells_drawn > vid.cells_drawn_limit) return false;
bool usr = vid.use_smart_range || quotient || euwrap;
if(usr && cells_drawn >= 50 && !in_smart_range(T)) return false;
@@ -1509,4 +1531,32 @@ bool do_draw(cell *c, const transmatrix& T) {
return true;
}
int cone_side(const hyperpoint H) {
hyperpoint ret;
if(hyperbolic) makeband(H, ret, band_conformal);
else ret = H;
cld z = cld(ret[0], ret[1]) * conformal::spiral_multiplier;
auto zth = [&] (cld z) {
ld alpha = imag(z) * 360 / conformal::spiral_cone;
ld r = real(z);
r = exp(r);
hyperpoint ret;
ret[0] = -sin(alpha) * r;
ret[1] = cos(alpha) * r;
ret[2] = (r-1) * sqrt( pow(360/conformal::spiral_cone, 2) - 1);
conformal::apply_ball(ret[2], ret[1]);
return ret;
};
hyperpoint ret0 = zth(z);
hyperpoint ret1 = zth(z + cld(1e-3, 0));
hyperpoint ret2 = zth(z + cld(0, 1e-3));
return (ret1[1] - ret0[1]) * (ret2[0] - ret0[0]) < (ret2[1] - ret0[1]) * (ret1[0] - ret0[0]) ? 1 : -1;
}
}