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fake in rhombic

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This commit is contained in:
Zeno Rogue 2020-07-03 15:07:59 +02:00
parent b8444a7fa2
commit 26f4a1e6f4
2 changed files with 111 additions and 61 deletions
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86
fake.cpp
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@ -31,7 +31,7 @@ EX namespace fake {
if(WDIM == 2 && standard_tiling() && (PURE || BITRUNCATED)) return true;
if(arcm::in() && PURE) return true;
if(WDIM == 2) return false;
if(among(geometry, gRhombic3, gBitrunc3)) return false;
if(among(geometry, gBitrunc3)) return false;
return euc::in() || reg3::in();
}
@ -110,6 +110,12 @@ EX namespace fake {
else cgi.adjcheck = dist * scale;
}
else if(underlying == gBitrunc3) {
ld x = (d % 7 < 3) ? 1 : sqrt(3)/2;
x *= scale;
cgi.adjcheck = 2 * atanh(x);
}
return S1 * xpush(cgi.adjcheck) * S2;
}
@ -326,15 +332,29 @@ EX ld compute_around(bool setup) {
if(setup)
cgi.adjcheck = 2 * hdist0(h);
hyperpoint u = Hypc;
u += fcs[0];
u += fcs[1];
hyperpoint h2 = rspintox(h) * xpush0(2 * hdist0(h));
auto kh= kleinize(h);
auto k0 = kleinize(fcs[0]);
auto k1 = kleinize(fcs[1]);
auto vec = k1 - k0;
// u = fcs[0] + vec * z
// (f1-u) | (vec-u) = 0
// (f1 - f0 + vec*z) |
// (vec | h2-vec*z) == (vec | h2) - (vec | vec*z) == 0
auto z = (vec|(kh-k0)) / (vec|vec);
hyperpoint u = k0 + vec * z;
if(material(u) <= 0)
return HUGE_VAL;
u = normalize(u);
hyperpoint h2 = rspintox(h) * xpush0(2 * hdist0(h));
h2 = spintox(u) * h2;
u = spintox(u) * u;
@ -344,7 +364,10 @@ EX ld compute_around(bool setup) {
ld x = hypot(h2[1], h2[2]);
ld y = h2[0];
return 360 / (90 + atan(y/x) / degree);
ld ans = 360 / (90 + atan(y/x) / degree);
return ans;
}
EX void generate() {
@ -383,18 +406,34 @@ EX ld compute_euclidean() {
if(arcm::in()) return arcm::current.N * 2 / arcm::current.euclidean_angle_sum;
if(WDIM == 2) return 4 / (S7-2.) + 2;
if(underlying == gRhombic3) return 3;
if(underlying == gBitrunc3) return 2.55208;
int middle = get_middle();
return M_PI / asin(cos(M_PI/middle) / sin(M_PI/underlying_cgip->face));
}
EX int around_orig() {
EX ld around_orig() {
if(arcm::in())
return arcm::current.N;
if(WDIM == 2)
return S3;
if(underlying == gRhombic3)
return 3;
if(underlying == gBitrunc3)
return 2.24259;
return
underlying_cgip->loop;
geometry == gFake ? underlying_cgip->loop : cgi.loop;
}
EX geometryinfo1 geometry_of_curvature(ld curvature, int dim) {
if(curvature == 0)
return WDIM == 3 ? giEuclid3 : giEuclid2;
if(curvature < 0)
return WDIM == 3 ? giHyperb3 : giHyperb2;
return WDIM == 3 ? giSphere3 : giSphere2;
}
EX void compute_scale() {
@ -410,22 +449,15 @@ EX void compute_scale() {
multiple = false;
int mcount = int(around / s3 + .5);
multiple = abs(around - mcount * s3) < 1e-6;
if(around == good) {
ginf[gFake].g = WDIM == 3 ? giEuclid3 : giEuclid2;
}
if(around > good) {
ginf[gFake].g = WDIM == 3 ? giHyperb3 : giHyperb2;
}
if(around < good) {
ginf[gFake].g = WDIM == 3 ? giSphere3 : giSphere2;
}
ginf[gFake].g = geometry_of_curvature(good - around, WDIM);
geom3::apply_always3();
ld around_ideal = 1/(1/2. - 1./get_middle());
bool have_ideal = abs(around_ideal - around) < 1e-6;
if(underlying == gRhombic3 || underlying == gBitrunc3) have_ideal = false;
if(arcm::in()) {
ginf[gFake].tiling_name = "(" + ginf[gArchimedean].tiling_name + ")^" + fts(around / around_orig());
return;
@ -435,7 +467,7 @@ EX void compute_scale() {
return;
}
else if(euclid) scale = 1;
else if(abs(around_ideal - around) < 1e-6) {
else if(have_ideal) {
hyperpoint h0 = underlying_cgip->cellshape[0];
auto s = kleinize(h0);
ld d = hypot_d(LDIM, s);
@ -463,8 +495,14 @@ EX void compute_scale() {
else minscale = scale;
}
}
}
/* ultra a bit earlier */
if(underlying == gRhombic3 || underlying == gBitrunc3) {
auto fcs = befake(underlying_cgip->cellshape[0]);
set_flag(ginf[gFake].flags, qULTRA, material(fcs) < 0);
}
}
auto& u = underlying_cgip;
ginf[gFake].tiling_name = lalign(0, "{", u->face, ",", get_middle(), ",", around, "}");
}
@ -498,6 +536,7 @@ EX void change_around() {
ld range = sightranges[geometry];
if(!fake::in()) {
underlying = geometry;
if(around == around_orig()) return; /* do nothing */
set_gfake(around);
}
@ -511,12 +550,11 @@ EX void change_around() {
cgi.prepare_basics();
}
println(hlog, "scale = ", t, " -> ", scale, " range = ", range);
t = scale / t;
// println(hlog, "t = ", t, " h distance = ", hypot_d(3, h), " for ", h);
h *= t;
View = rgpushxto0(direct_exp(h)) * T;
fixmatrix(View);
sightranges[gFake] = range * t;
#if CAP_TEXTURE
texture::config.remap();

86
reg3.cpp
View File

@ -40,44 +40,56 @@ EX namespace reg3 {
cgi.ultra_mirror_part = .99;
cgi.ultra_material_part = .99;
if(cgflags & qULTRA) {
transmatrix T = spintox(cgi.cellshape[0]);
hyperpoint a = T * cgi.cellshape[0];
hyperpoint b = T * cgi.cellshape[1];
ld f0 = 0.5;
ld f1 = binsearch(0.5, 1, [&] (ld d) {
hyperpoint c = lerp(b, a, d);
if(debugflags & DF_GEOM)
println(hlog, "d=", d, " c= ", c, " material = ", material(c));
return material(c) <= 0;
});
cgi.ultra_material_part = f1;
auto f = [&] (ld d) {
hyperpoint c = lerp(b, a, d);
c = normalize(c);
return c[1] * c[1] + c[2] * c[2];
};
for(int it=0; it<100; it++) {
ld fa = (f0*2+f1) / 3;
ld fb = (f0*1+f1*2) / 3;
if(debugflags & DF_GEOM)
println(hlog, "f(", fa, ") = ", f(fa), " f(", fb, ") = ", f(fb));
if(f(fa) > f(fb)) f0 = fa;
else f1 = fb;
}
cgi.ultra_mirror_part = f0;
hyperpoint c = lerp(b, a, f0);
c = normalize(c);
c[1] = c[2] = 0;
c = normalize(c);
cgi.ultra_mirror_dist = hdist0(c);
}
cgi.ultra_mirrors.clear();
if(cgflags & qULTRA) for(auto v: cgi.vertices_only)
cgi.ultra_mirrors.push_back(rspintox(v) * xpush(cgi.ultra_mirror_dist*2) * MirrorX * spintox(v));
if(cgflags & qULTRA) {
for(auto& v: cgi.vertices_only) {
hyperpoint nei;
for(int i=0; i<isize(cgi.cellshape); i++)
if(sqhypot_d(WDIM, cgi.cellshape[i]-v) < 1e-6)
nei = cgi.cellshape[i % cgi.face ? i-1 : i+1];
transmatrix T = spintox(v);
hyperpoint a = T * v;
hyperpoint b = T * nei;
ld f0 = 0.5;
ld f1 = binsearch(0.5, 1, [&] (ld d) {
hyperpoint c = lerp(b, a, d);
if(debugflags & DF_GEOM)
println(hlog, "d=", d, " c= ", c, " material = ", material(c));
return material(c) <= 0;
});
cgi.ultra_material_part = f1;
auto f = [&] (ld d) {
hyperpoint c = lerp(b, a, d);
c = normalize(c);
return c[1] * c[1] + c[2] * c[2];
};
for(int it=0; it<100; it++) {
ld fa = (f0*2+f1) / 3;
ld fb = (f0*1+f1*2) / 3;
if(debugflags & DF_GEOM)
println(hlog, "f(", fa, ") = ", f(fa), " f(", fb, ") = ", f(fb));
if(f(fa) > f(fb)) f0 = fa;
else f1 = fb;
}
cgi.ultra_mirror_part = f0;
hyperpoint c = lerp(b, a, f0);
c = normalize(c);
c[1] = c[2] = 0;
c = normalize(c);
cgi.ultra_mirror_dist = hdist0(c);
if(cgi.ultra_mirror_part >= 1-1e-6) continue;
cgi.ultra_mirrors.push_back(rspintox(v) * xpush(cgi.ultra_mirror_dist*2) * MirrorX * spintox(v));
}
}
}
EX void make_vertices_only() {