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// Hyperbolic Rogue -- spherical spaces
// Copyright (C) 2011-2018 Zeno Rogue, see 'hyper.cpp' for details
/** \file sphere.cpp
* \brief spherical spaces
*/
#include "hyper.h"
namespace hr {
// --- spherical geometry ---
EX int spherecells() {
if(S7 == 5) return (elliptic?6:12);
if(S7 == 4) return (elliptic?3:6);
if(S7 == 3 && S3 == 4) return (elliptic?4:8);
if(S7 == 3) return 4;
if(S7 == 2) return (elliptic?1:2);
if(S7 == 1) return 1;
return 12;
}
EX vector<int> siblings;
struct hrmap_spherical : hrmap_standard {
heptagon *dodecahedron[12];
hrmap_spherical() {
for(int i=0; i<spherecells(); i++) {
heptagon& h = *(dodecahedron[i] = init_heptagon(S7));
h.s = hsOrigin;
h.emeraldval = i;
h.zebraval = i;
h.fiftyval = i;
h.c.fullclear();
h.fieldval = i;
if(!IRREGULAR) h.c7 = newCell(S7, &h);
}
if(S7 == 5)
siblings = {1, 0, 10, 4, 3, 8, 9, 11, 5, 6, 2, 7};
else
siblings = {1, 0, 3, 2, 5, 4};
if(S7 == 3 && S3 == 4) {
for(int i=0; i<8; i++) {
dodecahedron[i]->move(0) = dodecahedron[i^1];
dodecahedron[i]->c.setspin(0, 0, false);
dodecahedron[i]->move(1) = dodecahedron[i^2];
dodecahedron[i]->c.setspin(1, 1, false);
dodecahedron[i]->move(2) = dodecahedron[i^4];
dodecahedron[i]->c.setspin(2, 2, false);
}
for(int i=0; i<8; i++) {
int s = (i&1)+((i&2)>>1)+((i&4)>>2);
if((s&1) == 1) {
swap(dodecahedron[i]->move(1), dodecahedron[i]->move(2));
int a = dodecahedron[i]->c.spin(1);
int b = dodecahedron[i]->c.spin(2);
dodecahedron[i]->c.setspin(1, b, false);
dodecahedron[i]->c.setspin(2, a, false);
dodecahedron[i]->move(1)->c.setspin(b, 1, false);
dodecahedron[i]->move(2)->c.setspin(a, 2, false);
}
}
for(int i=0; i<8; i++)
for(int j=0; j<3; j++)
if(dodecahedron[i]->move(j)->move(dodecahedron[i]->c.spin(j)) != dodecahedron[i])
println(hlog, "8");
}
else if(S7 == 4 && elliptic) {
for(int i=0; i<3; i++) {
int i1 = (i+1)%3;
int i2 = (i+2)%3;
dodecahedron[i]->move(0) = dodecahedron[i1];
dodecahedron[i]->c.setspin(0, 1, false);
dodecahedron[i]->move(1) = dodecahedron[i2];
dodecahedron[i]->c.setspin(1, 0, false);
dodecahedron[i]->move(2) = dodecahedron[i1];
dodecahedron[i]->c.setspin(2, 3, true);
dodecahedron[i]->move(3) = dodecahedron[i2];
dodecahedron[i]->c.setspin(3, 2, true);
}
}
else for(int i=0; i<S7; i++) {
dodecahedron[0]->move(i) = dodecahedron[i+1];
dodecahedron[0]->c.setspin(i, 0, false);
dodecahedron[i+1]->move(0) = dodecahedron[0];
dodecahedron[i+1]->c.setspin(0, i, false);
dodecahedron[i+1]->move(1) = dodecahedron[(i+S7-1)%S7+1];
dodecahedron[i+1]->c.setspin(1, S7-1, false);
dodecahedron[i+1]->move(S7-1) = dodecahedron[(i+1)%S7+1];
dodecahedron[i+1]->c.setspin(S7-1, 1, false);
if(S7 == 5 && elliptic) {
dodecahedron[i+1]->move(2) = dodecahedron[(i+2)%S7+1];
dodecahedron[i+1]->c.setspin(2, 3, true);
dodecahedron[i+1]->move(3) = dodecahedron[(i+3)%S7+1];
dodecahedron[i+1]->c.setspin(3, 2, true);
}
else if(S7 == 5) {
dodecahedron[6]->move(i) = dodecahedron[7+i];
dodecahedron[6]->c.setspin(i, 0, false);
dodecahedron[7+i]->move(0) = dodecahedron[6];
dodecahedron[7+i]->c.setspin(0, i, false);
dodecahedron[i+7]->move(1) = dodecahedron[(i+4)%5+7];
dodecahedron[i+7]->c.setspin(1, 4, false);
dodecahedron[i+7]->move(4) = dodecahedron[(i+1)%5+7];
dodecahedron[i+7]->c.setspin(4, 1, false);
dodecahedron[i+1]->move(2) = dodecahedron[7+(10-i)%5];
dodecahedron[i+1]->c.setspin(2, 2, false);
dodecahedron[7+(10-i)%5]->move(2) = dodecahedron[1+i];
dodecahedron[7+(10-i)%5]->c.setspin(2, 2, false);
dodecahedron[i+1]->move(3) = dodecahedron[7+(9-i)%5];
dodecahedron[i+1]->c.setspin(3, 3, false);
dodecahedron[7+(9-i)%5]->move(3) = dodecahedron[i+1];
dodecahedron[7+(9-i)%5]->c.setspin(3, 3, false);
}
if(S7 == 4) {
dodecahedron[5]->move(3-i) = dodecahedron[i+1];
dodecahedron[5]->c.setspin(3-i, 2, false);
dodecahedron[i+1]->move(2) = dodecahedron[5];
dodecahedron[i+1]->c.setspin(2, 3-i, false);
}
}
#if CAP_IRR
if(IRREGULAR) {
irr::link_start(dodecahedron[0]);
for(int i=0; i<spherecells(); i++)
for(int j=0; j<S7; j++)
irr::may_link_next(dodecahedron[i], j);
}
#endif
}
heptagon *getOrigin() override { return dodecahedron[0]; }
~hrmap_spherical() {
for(int i=0; i<spherecells(); i++) clearHexes(dodecahedron[i]);
for(int i=0; i<spherecells(); i++) tailored_delete(dodecahedron[i]);
}
void verify() override {
for(int i=0; i<spherecells(); i++) for(int k=0; k<S7; k++) {
heptspin hs(dodecahedron[i], k, false);
heptspin hs2 = hs + wstep + (S7-1) + wstep + (S7-1) + wstep + (S7-1);
if(S3 == 4) hs2 = hs2 + wstep + (S7-1);
if(hs2.at != hs.at) printf("error %d,%d\n", i, k);
}
for(int i=0; i<spherecells(); i++) verifycells(dodecahedron[i]);
}
map<cell*, transmatrix> where;
transmatrix get_where(cell *c) {
if(where.count(c)) return where[c];
int d = celldist(c);
if(d == 0) return where[c] = Id;
else forCellIdCM(c1, i, c)
if(celldist(c1) < d) {
transmatrix T = get_where(c1);
T = T * iadj(c, i);
where[c] = T;
return T;
}
return Id;
}
void on_dim_change() override {
hrmap_standard::on_dim_change();
where.clear();
}
transmatrix relative_matrixc(cell *c2, cell *c1, const hyperpoint& hint) override {
transmatrix T = iso_inverse(get_where(c1)) * get_where(c2);
if(elliptic) fixelliptic(T);
return T;
}
};
EX heptagon *getDodecahedron(int i) {
if(fake::in()) return FPIU(getDodecahedron(i));
hrmap_spherical *s = dynamic_cast<hrmap_spherical*> (currentmap);
if(!s) return NULL;
return s->dodecahedron[i];
}
EX hrmap* new_spherical_map() { return new hrmap_spherical; }
}
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