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euc_in_product

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Zeno Rogue
2023-01-06 00:09:12 +01:00
parent 28146b13f7
commit 4b3bfb9932
9 changed files with 129 additions and 33 deletions
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7
3d-models.cpp
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@@ -34,6 +34,7 @@ vector<hyperpoint> geometry_information::get_shape(hpcshape sh) {
hyperpoint get_center(const vector<hyperpoint>& vh) {
hyperpoint h = Hypc;
for(auto h1: vh) h = h + h1;
if(geom3::euc_in_product()) return h / isize(vh);
return normalize_flat(h);
}
@@ -743,8 +744,10 @@ hyperpoint psmin(hyperpoint H) {
void geometry_information::adjust_eye(hpcshape& eye, hpcshape head, ld shift_eye, ld shift_head, int q, ld zoom) {
hyperpoint center = Hypc;
for(int i=eye.s; i<eye.e; i++) if(q == 1 || hpc[i][1] > 0) center += hpc[i];
center = normalize_flat(center);
int c = 0;
for(int i=eye.s; i<eye.e; i++) if(q == 1 || hpc[i][1] > 0) center += hpc[i], c++;
if(geom3::euc_in_product()) center /= c;
else center = normalize_flat(center);
// center /= (eye.e - eye.s);
ld rad = 0;
for(int i=eye.s; i<eye.e; i++) if(q == 1 || hpc[i][1] > 0) rad += hdist(center, hpc[i]);

2
cell.cpp
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@@ -1269,6 +1269,8 @@ EX int clueless_celldistance(cell *c1, cell *c2) {
EX int celldistance(cell *c1, cell *c2) {
if(embedded_plane) return IPF(celldistance(c1, c2));
if(fake::in()) return FPIU(celldistance(c1, c2));
if(mhybrid) return hybrid::celldistance(c1, c2);

37
geometry.cpp
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@@ -596,7 +596,7 @@ void geometry_information::prepare_lta() {
lta[1][1] *= geom3::euclid_embed_scale * geom3::euclid_embed_scale_y;
lta = cspin(0, 1, geom3::euclid_embed_rotate * degree) * lta;
}
if(geom3::euc_in_nil()) lta = cspin90(2, 1) * lta;
if(geom3::euc_vertical()) lta = cspin90(2, 1) * lta;
if(geom3::hyp_in_solnih()) lta = cspin90(0, 1) * cspin90(1, 2) * cspin90(0, 1) * lta;
}
actual_to_logical = inverse(lta);
@@ -1108,7 +1108,10 @@ EX namespace geom3 {
seProduct,
seNil,
seSol, seNIH, seSolN,
seCliffordTorus
seCliffordTorus,
seProductH,
seProductS,
seSL2
};
#endif
@@ -1123,6 +1126,9 @@ EX namespace geom3 {
{"stretched hyperbolic", "Embed into stretched hyperbolic geometry. Works only with Euclidean. You need to set the variation to Pure."},
{"stretched Sol", "Embed into stretched Sol geometry. Works only with Euclidean. You need to set the variation to Pure."},
{"Clifford Torus", "Embed Euclidean torus into S3. You need to set the variation to Pure."},
{"hyperbolic product", "embed Euclidean or hyperbolic plane in the H2xR product space. For E2, set the variation to Pure."},
{"spherical product", "embed Euclidean or spherical plane in the H2xR product space. For E2, set the variation to Pure."},
{"SL(2,R)", "Embed Euclidean plane in twisted product geometry. Set the variation to Pure."}
};
EX eSpatialEmbedding spatial_embedding = seDefault;
@@ -1157,6 +1163,18 @@ EX namespace geom3 {
return ggclass() == gcNil && mgclass() == gcEuclid;
}
EX bool euc_in_product() {
return ggclass() == gcProduct && mgclass() == gcEuclid;
}
EX bool euc_in_sl2() {
return ggclass() == gcSL2 && mgclass() == gcEuclid;
}
EX bool euc_vertical() {
return mgclass() == gcEuclid && among(ggclass(), gcNil, gcProduct, gcSL2);
}
EX bool euc_in_solnih() {
return among(ggclass(), gcSol, gcNIH, gcSolN) && mgclass() == gcEuclid;
}
@@ -1166,7 +1184,7 @@ EX namespace geom3 {
}
EX bool euc_in_noniso() {
return among(ggclass(), gcNil, gcSol, gcNIH, gcSolN, gcSphere) && mgclass() == gcEuclid;
return among(ggclass(), gcNil, gcSol, gcNIH, gcSolN, gcSphere, gcProduct, gcSL2) && mgclass() == gcEuclid;
}
EX bool sph_in_euc() {
@@ -1234,12 +1252,18 @@ EX namespace geom3 {
g.sig[3] = g.sig[2];
g.sig[2] = g.sig[1];
if(spatial_embedding == seProduct && g.kind != gcEuclid) {
if(among(spatial_embedding, seProduct, seProductH, seProductS) && g.kind != gcEuclid) {
g.kind = gcProduct;
g.homogeneous_dimension--;
g.sig[2] = g.sig[3];
}
if(among(spatial_embedding, seProductH, seProductS) && g.kind == gcEuclid) {
g.kind = gcProduct;
g.homogeneous_dimension--;
g.sig[2] = spatial_embedding == seProductH ? -1 : 1;
}
if(spatial_embedding == seLowerCurvature) {
if(g.kind == gcEuclid) g = ginf[gSpace534].g;
if(g.kind == gcSphere) g = ginf[gCubeTiling].g;
@@ -1279,6 +1303,11 @@ EX namespace geom3 {
g = ginf[gSolN].g;
g.gameplay_dimension = 2;
}
if(spatial_embedding == seSL2 && ieuclid) {
g = giSL2;
g.gameplay_dimension = 2;
}
}
}
}

6
geometry2.cpp
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@@ -239,6 +239,8 @@ void horo_distance::become(hyperpoint h1) {
#endif
else if(mhybrid)
a = 0, b = hdist(h1, C0);
else if(geom3::euc_in_product())
a = 0, b = hdist(h1, C0);
else
a = 0, b = intval(h1, tile_center());
}
@@ -249,6 +251,8 @@ horo_distance::horo_distance(shiftpoint h1, const shiftmatrix& T) {
else
#endif
if(sn::in() || mhybrid || nil) become(inverse_shift(T, h1));
else if(geom3::euc_in_product())
a = 0, b = hdist(h1.h, unshift(T * tile_center(), h1.shift));
else
a = 0, b = intval(h1.h, unshift(T * tile_center(), h1.shift));
}
@@ -585,7 +589,7 @@ hyperpoint hrmap_standard::get_corner(cell *c, int cid, ld cf) {
}
#endif
if(PURE) {
if(geom3::euc_in_nil()) {
if(geom3::euc_in_noniso()) {
return lspinpush0(spin_angle(c, cid) + M_PI/S7, cgi.hcrossf * 3 / cf);
}
return ddspin(c,cid,M_PI/S7) * lxpush0(cgi.hcrossf * 3 / cf);

10
graph.cpp
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@@ -350,7 +350,8 @@ EX transmatrix lpispin() {
}
EX const transmatrix& lmirror() {
if(geom3::euc_in_nil()) return MirrorZ;
if(geom3::euc_in_product()) return Id;
if(geom3::euc_vertical()) return MirrorZ;
if(geom3::hyp_in_solnih()) return MirrorZ;
return Mirror;
}
@@ -691,7 +692,7 @@ transmatrix otherbodyparts(const shiftmatrix& V, color_t col, eMonster who, doub
shiftmatrix Tright, Tleft;
if(GDIM == 2 || mhybrid) {
if(GDIM == 2 || mhybrid || geom3::euc_in_product()) {
Tright = VFOOT * xpush(rightfoot);
Tleft = VFOOT * lmirror() * xpush(-rightfoot);
}
@@ -3145,7 +3146,8 @@ EX bool drawMonster(const shiftmatrix& Vparam, int ct, cell *c, color_t col, col
if(!nospins) {
shiftmatrix& where = (c->monst == moMirrorSpirit && inmirrorcount) ? ocwtV : cwtV;
if(WDIM == 2 || mproduct) {
if(geom3::euc_in_product()) { }
else if(WDIM == 2 || mproduct) {
hyperpoint V0 = inverse_shift(Vs, where * tile_center());
ld z = 0;
if(gproduct) {
@@ -3818,7 +3820,7 @@ EX void pushdown(cell *c, int& q, const shiftmatrix &V, double down, bool rezoom
auto pp = dynamic_cast<dqi_poly*> (&*ptds[q++]);
if(!pp) continue;
auto& ptd = *pp;
ptd.V = ptd.V * zpush(+down);
ptd.V = ptd.V * lzpush(+down);
}
return;
}

55
hyperpoint.cpp
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@@ -567,7 +567,15 @@ EX hyperpoint ultra_normalize(hyperpoint H) {
/** normalize, and in product geometry, also flatten */
EX hyperpoint normalize_flat(hyperpoint h) {
if(gproduct) return product_decompose(h).second;
if(gproduct) {
if(geom3::euc_in_product()) {
ld bz = zlevel(h);
auto h1 = h / exp(bz);
ld bx = atan_auto(h1[0] / h1[2]);
return zpush(bz) * xpush(bx) * C0;
}
return product_decompose(h).second;
}
if(sl2) h = slr::translate(h) * zpush0(-atan2(h[2], h[3]));
if(geom3::euc_in_nil()) h[1] = 0;
if(geom3::euc_in_solnih()) h[2] = 0;
@@ -609,7 +617,7 @@ EX hyperpoint mid(const hyperpoint& H1, const hyperpoint& H2) {
auto d1 = product_decompose(H1);
auto d2 = product_decompose(H2);
hyperpoint res1 = PIU( mid(d1.second, d2.second) );
hyperpoint res = orthogonal_move(res1, (d1.first + d2.first) / 2);
hyperpoint res = res1 * exp((d1.first + d2.first) / 2);
return res;
}
return normalize(H1 + H2);
@@ -660,7 +668,8 @@ EX transmatrix cspin180(int a, int b) {
/** rotate by alpha degrees in the XY plane */
EX transmatrix spin(ld alpha) {
if(embedded_plane && geom3::euc_in_nil()) return cspin(0, 2, alpha);
if(embedded_plane && geom3::euc_in_product()) return Id;
if(embedded_plane && geom3::euc_vertical()) return cspin(0, 2, alpha);
if(embedded_plane && geom3::hyp_in_solnih()) return cspin(1, 2, alpha);
return cspin(0, 1, alpha);
}
@@ -671,21 +680,24 @@ EX transmatrix unswap_spin(transmatrix T) {
/** rotate by 90 degrees in the XY plane */
EX transmatrix spin90() {
if(embedded_plane && geom3::euc_in_nil()) return cspin90(0, 2);
if(embedded_plane && geom3::euc_in_product()) return Id;
if(embedded_plane && geom3::euc_vertical()) return cspin90(0, 2);
if(embedded_plane && geom3::hyp_in_solnih()) return cspin90(1, 2);
return cspin90(0, 1);
}
/** rotate by 180 degrees in the XY plane */
EX transmatrix spin180() {
if(embedded_plane && geom3::euc_in_nil()) return cspin180(0, 2);
if(embedded_plane && geom3::euc_in_product()) return Id;
if(embedded_plane && geom3::euc_vertical()) return cspin180(0, 2);
if(embedded_plane && geom3::hyp_in_solnih()) return cspin180(1, 2);
return cspin180(0, 1);
}
/** rotate by 270 degrees in the XY plane */
EX transmatrix spin270() {
if(embedded_plane && geom3::euc_in_nil()) return cspin90(2, 0);
if(embedded_plane && geom3::euc_in_product()) return Id;
if(embedded_plane && geom3::euc_vertical()) return cspin90(2, 0);
if(embedded_plane && geom3::hyp_in_solnih()) return cspin90(2, 1);
return cspin90(1, 0);
}
@@ -775,7 +787,7 @@ EX transmatrix cpush(int cid, ld alpha) {
EX transmatrix lzpush(ld z) {
if(geom3::hyp_in_solnih()) return cpush(0, z);
if(geom3::euc_in_nil()) return cpush(1, z);
if(geom3::euc_vertical()) return cpush(1, z);
return cpush(2, z);
}
@@ -853,6 +865,14 @@ EX hyperpoint orthogonal_move(const hyperpoint& h, ld z) {
hf[3] = h[3] / ty * sin(z0);
return hf;
}
if(geom3::euc_in_product()) {
ld bz = zlevel(h);
auto h1 = h / exp(bz);
ld by = asin_auto(h1[1]);
ld bx = atan_auto(h1[0] / h1[2]);
by += z;
return zpush(bz) * xpush(bx) * ypush(by) * C0;
}
if(GDIM == 2) return scale_point(h, geom3::scale_at_lev(z));
if(gproduct) return scale_point(h, exp(z));
if(sl2) return slr::translate(h) * cpush0(2, z);
@@ -929,6 +949,11 @@ EX void swapmatrix(transmatrix& T) {
return;
}
}
else if(geom3::euc_in_product()) {
hyperpoint h1 = cgi.logical_to_actual * get_column(T, 2);
T = xpush(h1[0]) * zpush(h1[2]);
return;
}
else if(geom3::in_product()) {
/* just do nothing */
}
@@ -950,6 +975,11 @@ EX void swapmatrix(transmatrix& T) {
/** Just like swapmatrix but for hyperpoints. */
EX void swapmatrix(hyperpoint& h) {
if(geom3::euc_in_product()) {
h = cgi.logical_to_actual * h;
h = xpush(h[0]) * zpush(h[2]) * C0;
return;
}
if(geom3::in_product()) return;
if(geom3::sph_in_euc()) { h[3] = 1; return; }
if(geom3::sph_in_hyp()) { h[0] *= sinh(1); h[1] *= sinh(1); h[2] *= sinh(1); h[3] = cosh(1); return; }
@@ -1098,7 +1128,8 @@ EX transmatrix rspintox(const hyperpoint& H) {
}
EX transmatrix lspintox(const hyperpoint& H) {
if(geom3::euc_in_nil()) return spintoc(H, 0, 2);
if(geom3::euc_in_product()) return Id;
if(geom3::euc_vertical()) return spintoc(H, 0, 2);
if(geom3::hyp_in_solnih()) return spintoc(H, 1, 2);
if(WDIM == 2 || gproduct) return spintoc(H, 0, 1);
transmatrix T1 = spintoc(H, 0, 1);
@@ -1106,7 +1137,8 @@ EX transmatrix lspintox(const hyperpoint& H) {
}
EX transmatrix lrspintox(const hyperpoint& H) {
if(geom3::euc_in_nil()) return rspintoc(H, 0, 2);
if(geom3::euc_in_product()) return Id;
if(geom3::euc_vertical()) return rspintoc(H, 0, 2);
if(geom3::hyp_in_solnih()) return rspintoc(H, 1, 2);
if(WDIM == 2 || gproduct) return rspintoc(H, 0, 1);
transmatrix T1 = spintoc(H, 0, 1);
@@ -1562,7 +1594,7 @@ EX hyperpoint tile_center() {
}
EX transmatrix orthogonal_move(const transmatrix& t, double level) {
if(gproduct) return scale_matrix(t, exp(level));
if(gproduct && !geom3::euc_in_product()) return scale_matrix(t, exp(level));
if(GDIM == 3) return t * lzpush(level);
return scale_matrix(t, geom3::lev_to_factor(level));
}
@@ -1849,7 +1881,7 @@ EX hyperpoint ztangent(ld z) { return ctangent(2, z); }
/** tangent vector in logical direction Z */
EX hyperpoint lztangent(ld z) {
if(geom3::hyp_in_solnih()) return ctangent(0, z);
if(geom3::euc_in_nil()) return ctangent(1, z);
if(geom3::euc_vertical()) return ctangent(1, z);
return ctangent(2, z);
}
@@ -1957,6 +1989,7 @@ EX unsigned bucketer(hyperpoint h) {
auto d = product_decompose(h);
h = d.second;
dx += bucketer(d.first) * 50;
if(geom3::euc_in_product() && in_h2xe()) h /= h[2];
}
dx += bucketer(h[0]) + 1000 * bucketer(h[1]) + 1000000 * bucketer(h[2]);
if(MDIM == 4) dx += bucketer(h[3]) * 1000000001;

29
hypgraph.cpp
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@@ -2207,16 +2207,23 @@ void ballgeometry() {
queuereset(pmodel, PPR::CIRCLE);
}
EX transmatrix logical_to_actual_units() {
transmatrix T = cgi.logical_to_actual;
for(int i=0; i<3; i++) set_column(T, i, get_column(T, i) / hypot_d(3, get_column(T, i)));
return T;
}
EX void resetview() {
DEBBI(DF_GRAPH, ("reset view"));
// EUCLIDEAN
NLP = Id;
stretch::mstretch_matrix = Id;
auto& vo = get_view_orientation();
if(cwt.at) {
centerover = cwt.at;
View = iddspin(cwt.at, cwt.spin);
if(!flipplayer) View = spin180() * View;
if(cwt.mirrored) View = lmirror() * View;
if(!flipplayer) vo = spin180() * vo;
if(cwt.mirrored) vo = lmirror() * vo;
if(centering) {
hyperpoint vl = View * get_corner_position(cwt.at, cwt.spin);
@@ -2236,12 +2243,11 @@ EX void resetview() {
adjust_eye(View, cwt.at, -1);
if(WDIM == 2) View = spin(M_PI + vid.fixed_facing_dir * degree) * View;
if(WDIM == 3 && !gproduct) View = cspin90(0, 2) * View;
if(gproduct) NLP = cspin90(0, 2);
View = cgi.actual_to_logical * View;
if(embedded_plane) get_view_orientation() = cspin90(1, 2) * get_view_orientation();
if(embedded_plane && vid.wall_height < 0) View = cspin180(0, 1) * View;
if(WDIM == 2) vo = spin(M_PI + vid.fixed_facing_dir * degree) * vo;
if(WDIM == 3) vo = cspin90(0, 2) * vo;
vo = inverse(logical_to_actual_units()) * vo;
if(embedded_plane) vo = cspin90(1, 2) * vo;
if(embedded_plane && vid.wall_height < 0) vo = cspin180(0, 1) * vo;
cwtV = shiftless(View);
current_display->which_copy =
@@ -3349,6 +3355,13 @@ void shift_view_by_matrix(const transmatrix T, eShiftMethod sm) {
/* like rgpushxto0 but keeps the map orientation correct */
EX transmatrix map_relative_push(hyperpoint h) {
if(!embedded_plane) return rgpushxto0(h);
if(geom3::euc_in_product()) {
ld bz = zlevel(h);
auto h1 = h / exp(bz);
ld by = asin_auto(h1[1]);
ld bx = atan_auto(h1[0] / h1[2]);
return zpush(bz) * xpush(bx) * ypush(by);
}
if(geom3::same_in_same()) {
ld z = -asin_auto(h[2]);
ld u = 1 / cos_auto(z);

14
nonisotropic.cpp
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@@ -1056,7 +1056,11 @@ EX namespace hybrid {
EX geometry_information *underlying_cgip;
EX eGeometryClass under_class() {
if(embedded_plane) return geom3::ginf_backup[geometry].cclass;
if(embedded_plane) {
auto c = geom3::ginf_backup[geometry].cclass;
if(c == gcEuclid) c = cginf.g.sig[2] > 0 ? gcSphere : gcHyperbolic;
return c;
}
return ginf[hybrid::underlying].cclass;
}
@@ -1366,6 +1370,10 @@ EX namespace hybrid {
template<class T> auto in_underlying_geometry(const T& f) -> decltype(f()) {
if(!mhybrid && !gproduct) return f();
if(embedded_plane) {
if(geom3::euc_in_product()) {
dynamicval<eGeometryClass> dgc(cginf.g.kind, cginf.g.sig[2] < 0 ? gcHyperbolic : gcSphere);
return f();
}
geom3::light_flip(true);
finalizer ff([] { geom3::light_flip(false); });
return f();
@@ -1645,7 +1653,7 @@ EX namespace product {
EX hyperpoint inverse_exp(hyperpoint h) {
hyperpoint res;
res[2] = zlevel(h);
h = orthogonal_move(h, -res[2]);
h = h * exp(-res[2]);
ld r = hypot_d(2, h);
if(hybrid::under_class() == gcEuclid) {
res[0] = h[0];
@@ -1671,7 +1679,7 @@ EX namespace product {
res[0] = h[0] * cd;
res[1] = h[1] * cd;
res[2] = cos_auto(d);
return orthogonal_move(res, h[2]);
return res * exp(h[2]);
}
EX bool validate_spin() {

2
sky.cpp
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@@ -74,6 +74,8 @@ void compute_skyvertices(const vector<sky_item>& sky) {
if(among(geom3::ggclass(), gcSol, gcSolN)) return; /* errors */
if(among(geom3::ggclass(), gcNil)) return; /* errors sometimes too */
if(geom3::hyp_in_solnih()) return;
if(geom3::euc_in_product()) return;
if(geom3::euc_in_sl2()) return;
int sk = get_skybrightness();