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hemisphere in spherical now produces the hyperboloid model

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This commit is contained in:
Zeno Rogue 2022-04-07 20:50:16 +02:00
parent 65b4b88ce4
commit 589d2dd72c
4 changed files with 85 additions and 21 deletions
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2
classes.cpp
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@ -1030,7 +1030,7 @@ EX vector<modelinfo> mdinf = {
{X3("azimuthal equi-area"), mf::azimuthal | mf::equiarea | mf::euc_boring, DEFAULTS},
{X3("ball model"), mf::conformal | mf::azimuthal | mf::space, DEFAULTS},
{"Minkowski hyperboloid", "plane", "sphere", mf::conformal | mf::space | mf::euc_boring, DEFAULTS},
{"hemisphere", "sphere", "sphere", mf::conformal | mf::space, DEFAULTS},
{"hemisphere", "sphere", "Minkowski hyperboloid", mf::conformal | mf::space, DEFAULTS},
{X3("band equidistant"), mf::band | mf::equidistant | mf::euc_boring, DEFAULTS},
{X3("band equi-area"), mf::band | mf::equiarea | mf::euc_boring, DEFAULTS},
{X3("sinusoidal"), mf::pseudoband | mf::equiarea | mf::euc_boring, DEFAULTS},

34
drawing.cpp
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@ -304,7 +304,7 @@ EX bool two_sided_model() {
#endif
if(GDIM == 3) return false;
if(in_vr_sphere) return true;
if(pmodel == mdHyperboloid) return !euclid && !in_vr;
if(models::is_hyperboloid(pmodel)) return !euclid && !in_vr;
// if(pmodel == mdHemisphere) return true;
if(pmodel == mdDisk) return sphere || (hyperbolic && pconf.alpha < 0 && pconf.alpha > -1);
if(pmodel == mdRetroLittrow) return sphere;
@ -348,11 +348,21 @@ EX int get_side(const hyperpoint& H) {
return (models::sin_ball * H[2] > -models::cos_ball * H[1]) ? -1 : 1;
if(pmodel == mdHyperboloid && sphere)
return (models::sin_ball * H[2] > models::cos_ball * H[1]) ? -1 : 1;
if(pmodel == mdHemisphere) {
if(pmodel == mdHyperboloidFlat && sphere)
return H[2] >= 0 ? 1 : -1;
if(pmodel == mdHemisphere && hyperbolic) {
hyperpoint res;
applymodel(shiftless(H), res);
return res[2] < 0 ? -1 : 1;
}
if(pmodel == mdHemisphere && sphere) {
auto H1 = H;
int s = H1[2] > 0 ? 1 : -1;
if(hemi_side && s != hemi_side) return -spherespecial;
H1[0] /= H1[2]; H1[1] /= H1[2];
H1[2] = s * sqrt(1 + H1[0]*H1[0] + H1[1] * H1[1]);
return (models::sin_ball * H1[2] > models::cos_ball * H1[1]) ? 1 : -1;
}
if(pmodel == mdSpiral && pconf.spiral_cone < 360) {
return cone_side(shiftless(H));
}
@ -2283,6 +2293,8 @@ EX void set_vr_sphere() {
#endif
}
EX int hemi_side = 0;
EX void draw_main() {
DEBBI(DF_GRAPH, ("draw_main"));
@ -2296,6 +2308,24 @@ EX void draw_main() {
return;
}
if(pmodel == mdHemisphere && sphere && hemi_side == 0 && !vrhr::rendering()) {
hemi_side = models::sin_ball > 0 ? 1 : -1;
draw_main();
if(pconf.show_hyperboloid_flat) {
dynamicval<eModel> dv (pmodel, mdHyperboloidFlat);
dynamicval<int> ds (spherespecial, 1);
for(auto& ptd: ptds)
if(!among(ptd->prio, PPR::MOBILE_ARROW, PPR::OUTCIRCLE, PPR::CIRCLE))
ptd->draw();
}
hemi_side *= -1;
draw_main();
hemi_side = 0;
return;
}
set_vr_sphere();
if(sphere && GDIM == 3 && pmodel == mdPerspective && !stretch::in() && !ray::in_use) {

62
hypgraph.cpp
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@ -778,11 +778,23 @@ EX void apply_other_model(shiftpoint H_orig, hyperpoint& ret, eModel md) {
case gcSphere: {
if(vrhr::rendering()) { vr_sphere(ret, H, md); return; }
ld z = sqhypot_d(3, H);
int s = H[2] > 0 ? 1 : -1;
ret = H;
ret /= ret[2];
ret[2] = sqrt(1 + ret[0]*ret[0] + ret[1]*ret[1]) * s;
ret *= z;
ld& topz = pconf.top_z;
if(abs(ret[2]) > topz || (hemi_side && s != hemi_side)) {
ld scale = sqrt(topz*topz-1) / hypot_d(2, ret);
ret *= scale;
ret[2] = topz * s;
}
if(pconf.depth_scaling != 1) {
ld v = intval(H, Hypc);
ret *= pow(v, (dir * pconf.depth_scaling-1) / 2);
}
ret /= 3;
break;
}
}
@ -823,27 +835,35 @@ EX void apply_other_model(shiftpoint H_orig, hyperpoint& ret, eModel md) {
}
#endif
ret = H;
if(sphere && pmodel == mdHyperboloidFlat) {
int s = H[2] > 0 ? 1 : -1;
ret /= ret[2];
ret[2] = sqrt(1 + ret[0]*ret[0] + ret[1]*ret[1]) * s;
}
if(pconf.depth_scaling != 1) {
ld v = intval(H, Hypc);
H *= pow(v, (pconf.depth_scaling-1) / 2);
ld v = intval(ret, Hypc);
ret *= pow(v, (pconf.depth_scaling-1) / 2);
}
if(pmodel == mdHyperboloid) {
ld& topz = pconf.top_z;
if(H[2] > topz) {
ld scale = sqrt(topz*topz-1) / hypot_d(2, H);
H *= scale;
H[2] = topz;
if(ret[2] > topz) {
ld scale = sqrt(topz*topz-1) / hypot_d(2, ret);
ret *= scale;
ret[2] = topz;
}
}
else {
H = space_to_perspective(H, pconf.alpha);
H[2] = 1 - pconf.alpha;
ret = space_to_perspective(ret, pconf.alpha);
ret[2] = 1 - pconf.alpha;
if(sphere) ret[2] = -ret[2];
}
ret[0] = H[0] / 3;
ret[1] = (1 - H[2]) / 3;
ret[2] = H[1] / 3;
ret[0] = ret[0] / 3;
tie(ret[1], ret[2]) = make_pair(((sphere?0:1) - ret[2]) / 3, ret[1] / 3);
models::apply_ball(ret[2], ret[1]);
break;
@ -2276,7 +2296,7 @@ EX color_t modelcolor = 0;
EX void draw_model_elements() {
#if CAP_VR
if(vrhr::active() && pmodel == mdHyperboloid) return;
if(vrhr::active() && is_hyperboloid(pmodel)) return;
#endif
dynamicval<ld> lw(vid.linewidth, vid.linewidth * vid.multiplier_ring);
@ -2339,9 +2359,10 @@ EX void draw_model_elements() {
return;
}
case mdHyperboloid: {
case mdHyperboloid:
case mdHemisphere: {
if(!pconf.show_hyperboloid_flat) return;
if(hyperbolic) {
if(models::is_hyperboloid(pmodel)) {
#if CAP_QUEUE
curvepoint(point3(0,0,1));
curvepoint(point3(0,0,-pconf.alpha));
@ -2550,7 +2571,7 @@ EX void draw_boundary(int w) {
queuecurve(shiftless(Id), lc, fc, p);
queuereset(pmodel, p);
}
if(euclid || sphere) {
if(euclid) {
queuereset(mdPixel, p);
for(int i=0; i<=360; i++) {
curvepoint(point3(current_display->radius * cos(i * degree), current_display->radius * sin(i * degree), 0));
@ -2558,13 +2579,15 @@ EX void draw_boundary(int w) {
queuecurve(shiftless(Id), lc, fc, p);
queuereset(pmodel, p);
}
if(sphere) goto as_hyperboloid;
return;
}
case mdHyperboloid: {
if(hyperbolic) {
as_hyperboloid:
ld& tz = pconf.top_z;
ld mz = acosh(tz);
ld mz = sphere ? atan(sqrt(tz*tz-1)) : acosh(tz);
ld cb = models::cos_ball;
ld sb = models::sin_ball;
@ -2609,6 +2632,13 @@ EX void draw_boundary(int w) {
curvepoint(xspinpush0(t * degree, mz));
queuecurve(shiftless(Id), lc, fc, p);
if(sphere) {
for(ld t=0; t<=360; t ++)
curvepoint(xspinpush0(t * degree, M_PI-mz));
queuecurve(shiftless(Id), lc, fc, p);
}
}
return;
}

8
models.cpp
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@ -222,6 +222,10 @@ EX namespace models {
if(sphere) return (mdinf[m].flags & mf::broken) ? 2 : 0;
return 0;
}
EX bool is_hyperboloid(eModel m) {
return m == (sphere ? mdHemisphere : mdHyperboloid);
}
EX bool is_perspective(eModel m) {
return among(m, mdPerspective, mdGeodesic);
@ -592,7 +596,7 @@ EX namespace models {
});
}
if(vpmodel == mdHyperboloid)
if(is_hyperboloid(vpmodel))
add_edit(vpconf.top_z);
if(has_transition(vpmodel))
@ -613,7 +617,7 @@ EX namespace models {
if(vpmodel == mdFisheye)
add_edit(vpconf.fisheye_param);
if(vpmodel == mdHyperboloid)
if(is_hyperboloid(vpmodel))
add_edit(pconf.show_hyperboloid_flat);
if(vpmodel == mdCollignon)