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single-cell quotient spaces

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Zeno Rogue 2020-01-06 21:24:21 +01:00
parent 7e2e4928e9
commit 9d0d0fb182
2 changed files with 23 additions and 1 deletions
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7
classes.cpp
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@ -723,7 +723,7 @@ enum eGeometry {
gKiteDart2, gKiteDart3, gNil, gProduct, gRotSpace, gKiteDart2, gKiteDart3, gNil, gProduct, gRotSpace,
gTernary, gNIH, gSolN, gInfOrder, gSpace336, gSpace344, gCrystal344, gTernary, gNIH, gSolN, gInfOrder, gSpace336, gSpace344, gCrystal344,
gArnoldCat, gArbitrary, gInfOrder4, gCrystal534, gArnoldCat, gArbitrary, gInfOrder4, gCrystal534,
gSpace535, gSpace536, gSeifertCover, gSpace535, gSpace536, gSeifertCover, gSeifertWeber, gHomologySphere,
gGUARD}; gGUARD};
enum eGeometryClass { gcHyperbolic, gcEuclid, gcSphere, gcSolNIH, gcNil, gcProduct, gcSL2 }; enum eGeometryClass { gcHyperbolic, gcEuclid, gcSphere, gcSolNIH, gcNil, gcProduct, gcSL2 };
@ -785,6 +785,7 @@ static const flagtype qNIH = 65536;
static const flagtype qIDEAL = 131072; static const flagtype qIDEAL = 131072;
static const flagtype qHUGE_BOUNDED = 262144; static const flagtype qHUGE_BOUNDED = 262144;
static const flagtype qOPTQ = Flag(19); static const flagtype qOPTQ = Flag(19);
static const flagtype qSINGLE = Flag(20);
// note: dnext assumes that x&7 equals 7 // note: dnext assumes that x&7 equals 7
static const int SEE_ALL = 50; static const int SEE_ALL = 50;
@ -807,6 +808,8 @@ static const flagtype qsSMALLBF = qsSMALLB | qsFIELD | qANYQ;
static const flagtype qsSMALLBE = qsSMALLB | qELLIPTIC | qANYQ; static const flagtype qsSMALLBE = qsSMALLB | qELLIPTIC | qANYQ;
static const flagtype qsBP = qBINARY | qKITE; static const flagtype qsBP = qBINARY | qKITE;
static const flagtype qsSINGLE = qANYQ | qSMALL | qBOUNDED | qSINGLE;
EX geometryinfo1 giEuclid2 = { gcEuclid, 2, 2, 3, {1,1, 0,0 } }; EX geometryinfo1 giEuclid2 = { gcEuclid, 2, 2, 3, {1,1, 0,0 } };
EX geometryinfo1 giHyperb2 = { gcHyperbolic, 2, 2, 3, {1,1,-1,0 } }; EX geometryinfo1 giHyperb2 = { gcHyperbolic, 2, 2, 3, {1,1,-1,0 } };
EX geometryinfo1 giSphere2 = { gcSphere, 2, 2, 3, {1,1,+1,0 } }; EX geometryinfo1 giSphere2 = { gcSphere, 2, 2, 3, {1,1,+1,0 } };
@ -893,6 +896,8 @@ EX vector<geometryinfo> ginf = {
{"{5,3,5}","none", "{5,3,5} hyperbolic honeycomb", "535", 12, 5, 0, giHyperb3, 0x31400, {{7, 2}}, eVariation::pure}, {"{5,3,5}","none", "{5,3,5} hyperbolic honeycomb", "535", 12, 5, 0, giHyperb3, 0x31400, {{7, 2}}, eVariation::pure},
{"{5,3,6}","none", "{5,3,6} hyperbolic honeycomb", "536", 12, 6, qIDEAL, giHyperb3, 0x31400, {{7, 2}}, eVariation::pure}, {"{5,3,6}","none", "{5,3,6} hyperbolic honeycomb", "536", 12, 6, qIDEAL, giHyperb3, 0x31400, {{7, 2}}, eVariation::pure},
{"{5,3,5}","SWh", "{5,3,5} quotient", "535c", 12, 5, qsSMALLB | qANYQ, giHyperb3, 0x31400, {{7, 2}}, eVariation::pure}, {"{5,3,5}","SWh", "{5,3,5} quotient", "535c", 12, 5, qsSMALLB | qANYQ, giHyperb3, 0x31400, {{7, 2}}, eVariation::pure},
{"{5,3,5}","SW", "Seifert-Weber space", "535s", 12, 5, qsSINGLE, giHyperb3, 0x31400, {{7, 2}}, eVariation::pure},
{"{5,3,3}","SW", "Poincaré homology sphere", "533s", 12, 3, qsSINGLE, giSphere3, 0x31400, {{7, 2}}, eVariation::pure},
}; };
// bits: 9, 10, 15, 16, (reserved for later) 17, 18 // bits: 9, 10, 15, 16, (reserved for later) 17, 18

17
reg3.cpp
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@ -687,6 +687,20 @@ EX namespace reg3 {
return res; return res;
} }
struct hrmap_singlecell : hrmap_quotient3 {
hrmap_singlecell(ld angle) {
generate();
initialize(1);
tmatrices[0].resize(S7);
for(int b=0; b<S7; b++) {
allh[0]->c.connect(b, allh[0], (b+S7/2) % S7, false);
transmatrix T = reg3::adjmoves[b];
hyperpoint p = tC0(T);
tmatrices[0][b] = rspintox(p) * xpush(hdist0(p)) * cspin(2, 1, angle) * spintox(p);
}
}
};
struct hrmap_seifert_cover : hrmap_quotient3 { struct hrmap_seifert_cover : hrmap_quotient3 {
hrmap_seifert_cover() { hrmap_seifert_cover() {
@ -1014,6 +1028,8 @@ EX namespace reg3 {
EX hrmap* new_map() { EX hrmap* new_map() {
if(geometry == gSeifertCover) return new seifert_weber::hrmap_seifert_cover; if(geometry == gSeifertCover) return new seifert_weber::hrmap_seifert_cover;
if(geometry == gSeifertWeber) return new seifert_weber::hrmap_singlecell(108*degree);
if(geometry == gHomologySphere) return new seifert_weber::hrmap_singlecell(36*degree);
if(quotient && !sphere) return new hrmap_field3; if(quotient && !sphere) return new hrmap_field3;
return new hrmap_reg3; return new hrmap_reg3;
} }
@ -1039,6 +1055,7 @@ EX int celldistance(cell *c1, cell *c2) {
EX bool pseudohept(cell *c) { EX bool pseudohept(cell *c) {
auto m = regmap(); auto m = regmap();
if(cgflags & qSINGLE) return true;
if(sphere) { if(sphere) {
hyperpoint h = tC0(m->relative_matrix(c->master, regmap()->origin, C0)); hyperpoint h = tC0(m->relative_matrix(c->master, regmap()->origin, C0));
if(S7 == 12) { if(S7 == 12) {