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moved all the Euclidean maps to euclid.cpp

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? 2019-02-24 23:04:52 +01:00 committed by Zeno Rogue
parent 26b6b94c95
commit c7cb93f2ed
8 changed files with 479 additions and 474 deletions
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462
cell.cpp
View File

@ -245,464 +245,6 @@ heptagon *getDodecahedron(int i) {
return s->dodecahedron[i]; return s->dodecahedron[i];
} }
// --- euclidean geometry ---
// NOTE: patterns assume that pair_to_vec(0,1) % 3 == 2!
// Thus, pair_to_vec(0,1) must not be e.g. a power of four
int pair_to_vec(int x, int y) {
return x + (y << 15);
}
pair<int, int> vec_to_pair(int vec) {
int x = vec & ((1<<15)-1);
int y = (vec >> 15);
if(x >= (1<<14)) x -= (1<<15), y++;
return {x, y};
}
namespace torusconfig {
// the configuration of the torus topology.
// torus cells are indexed [0..qty),
// where the cell to the right from i is indexed i+dx,
// and the cell to the down-right is numbered i+dy
// Changed with command line option: -tpar <qty>,<dx>,<dy>
// Ideally, qty, dx, and dy should have the same "modulo 3"
// values as the default -- otherwise the three-color
// pattern breaks. Also, they should have no common
// prime divisor.
int def_qty = 127*3, dx = 1, def_dy = -11*2;
int qty = def_qty, dy = def_dy;
int sdx = 12, sdy = 12;
// new values to change
int newqty, newdy, newsdx, newsdy;
int torus_cx, torus_cy;
vector<torusmode_info> tmodes = {
{"single row (hex)", TF_SINGLE | TF_HEX},
{"single row (squares)", TF_SINGLE | TF_SQUARE},
{"parallelogram (hex)", TF_SIMPLE | TF_HEX},
{"rectangle (squares)", TF_SIMPLE | TF_SQUARE},
{"rectangle (hex)", TF_WEIRD | TF_HEX},
{"Klein bottle (squares)", TF_SIMPLE | TF_KLEIN | TF_SQUARE},
{"Klein bottle (hex)", TF_WEIRD | TF_KLEIN | TF_HEX},
{"cylinder (squares)", TF_SIMPLE | TF_CYL },
{"cylinder (hex)", TF_SIMPLE | TF_CYL | TF_HEX},
{"Möbius band (squares)", TF_SIMPLE | TF_CYL | TF_KLEIN},
{"Möbius band (hex)", TF_SIMPLE | TF_CYL | TF_HEX | TF_KLEIN},
};
eTorusMode torus_mode, newmode;
flagtype tmflags() { return tmodes[torus_mode].flags; }
int getqty() {
if(tmflags() & TF_SINGLE)
return qty;
else
return sdx * sdy;
}
int getvec(int x, int y) {
if(tmflags() & TF_SINGLE)
return x * dx + y * dy;
else if(tmflags() & TF_SIMPLE)
return pair_to_vec(x, y);
else
return pair_to_vec(-y - 2 * x, 3 * y);
}
int id_to_vec(int id, bool mirrored = false) {
if(tmflags() & TF_SINGLE)
return id;
else {
int dx = id % sdx;
int dy = id / sdx;
if(mirrored)
dy = -dy, dx += sdx;
if(tmflags() & TF_SIMPLE)
return pair_to_vec(dx, dy);
else
return pair_to_vec(- 2 * dx - (dy & 1), 3 * dy);
}
}
pair<int, bool> vec_to_id_mirror(int vec) {
if(tmflags() & TF_SINGLE) {
return {gmod(vec, qty), false};
}
else {
int x, y;
tie(x,y) = vec_to_pair(vec);
bool mirror = false;
if(tmflags() & TF_KLEIN) {
if(tmflags() & TF_WEIRD) {
x = gmod(x, 4 * sdx);
mirror = x > 0 && x <= 2 * sdx;
}
else {
x = gmod(x, 2 * sdx);
mirror = x >= sdx;
}
if(mirror) y = -y;
}
if(tmflags() & TF_WEIRD) {
y /= 3; x = (x + (y&1)) / -2;
}
x = gmod(x, sdx), y = gmod(y, sdy);
return {y * sdx + x, mirror};
}
}
int vec_to_id(int vec) {
return vec_to_id_mirror(vec).first;
}
void torus_test() {
printf("Testing torus vec_to_pair/pair_to_vec...\n");
for(int x=-10; x<=10; x++)
for(int y=-10; y<=10; y++) {
auto p = vec_to_pair(pair_to_vec(x, y));
if(p.first != x || p.second != y)
printf("Failed for (%d,%d) -> [%d] -> (%d,%d)\n", x, y, pair_to_vec(x,y), p.first, p.second);
}
printf("Testing id_to_vec / vec_to_id...\n");
for(int i=0; i < getqty(); i++)
for(int m=0; m< (torus_mode == tmKlein ? 2 : 1); m++)
if(vec_to_id_mirror(id_to_vec(i, m)) != pair<int,bool> (i,m))
printf("Failed for id %d.%d [%d] (%d.%d)\n", i, m, id_to_vec(i,m), vec_to_id(id_to_vec(i,m)), vec_to_id_mirror(id_to_vec(i,m)).second);
}
int tester = addHook(hooks_tests, 0, torus_test);
void activate() {
auto& gi(ginf[gTorus]);
if(tmflags() & TF_HEX)
gi.vertex = 3, gi.sides = 6, gi.tiling_name = "{6,3}";
else
gi.vertex = 4, gi.sides = 4, gi.tiling_name = "{4,4}";
flagtype& flags = gi.flags;
set_flag(flags, qNONORIENTABLE, tmflags() & TF_KLEIN);
set_flag(flags, qBOUNDED, !(tmflags() & TF_CYL));
int i = 0;
if(tmflags() & TF_KLEIN) i++;
if(tmflags() & TF_CYL) i+=2;
const char *quonames[4] = {"torus", "Klein bottle", "cylinder", "Möbius band"};
gi.quotient_name = quonames[i];
}
int dscalar(gp::loc e1, gp::loc e2) {
return 2 * (e1.first * e2.first + e1.second*e2.second) + (S3 == 3 ? e1.first*e2.second + e2.first * e1.second : 0);
}
int dcross(gp::loc e1, gp::loc e2) {
return e1.first * e2.second - e1.second*e2.first;
}
gp::loc sdxy() { return gp::loc(sdx, sdy); }
int mobius_dir_basic() {
int dscalars[6];
for(int a=0; a<SG6; a++)
dscalars[a] = dscalar(gp::eudir(a), sdxy());
for(int a=0; a<SG6; a++)
for(int b=0; b<SG6; b++)
if(a != b && dscalars[a] == dscalars[b]) {
return (a + b) % SG6;
}
return -1;
}
bool mobius_symmetric(bool square, int dx, int dy) {
dynamicval<eGeometry> g(geometry, square ? gEuclidSquare : gEuclid);
dynamicval<int> gx(sdx, dx);
dynamicval<int> gy(sdy, dy);
return mobius_dir_basic() != -1;
}
void mobius_flip(int&x, int& y) {
int d = mobius_dir_basic();
int a, b;
if(d == 0) a = 1, b = SG6-1;
else a = 0, b = d;
auto p1 = gp::eudir(a);
auto p2 = gp::eudir(b);
// x = sdx * s + px * t
// y = sdy * s + py * t
// py * x = py * sdx * s + px * py * t
// px * y = px * sdy * s + px + py * t
// py * x - px * y = py * sdx * s - px * sdy * s
// s = (py * x - px * y) / (py * sdx - px * sdy)
int det = p1.second * sdx - p1.first * sdy;
int smul = p1.second * x - p1.first * y;
int tmul = sdx * y - sdy * x;
x = (tmul * p2.first + smul * sdx) / det;
y = (tmul * p2.second + smul * sdy) / det;
// println(hlog, make_pair(ox,oy), " [", d, "] ", make_pair(x,y), " p1 = ", p1, " p2 = ", p2, " det = ", det, " smul = ", smul, " tmul = ", tmul);
}
int mobius_dir(cell *c) {
if(c->type == 8) return mobius_dir_basic() * 2;
else return mobius_dir_basic();
}
bool be_canonical(int& x, int& y) {
using namespace torusconfig;
int periods = gdiv(dscalar(gp::loc(x,y), sdxy()), dscalar(sdxy(), sdxy()));
y -= sdy * periods;
x -= sdx * periods;
bool b = false;
if(nonorientable && (periods & 1)) {
mobius_flip(x, y);
b = true;
}
return b;
}
int cyldist(int id1, int id2) {
int x1, y1, x2, y2;
tie(x1, y1) = vec_to_pair(id1);
tie(x2, y2) = vec_to_pair(id2);
be_canonical(x1, y1);
be_canonical(x2, y2);
int dist = 1000000000;
for(int a1=-1; a1<=1; a1++)
for(int a2=-1; a2<=1; a2++) {
int ax1 = x1 + sdx * a1;
int ay1 = y1 + sdy * a1;
if(nonorientable && a1) mobius_flip(ax1, ay1);
int ax2 = x2 + sdx * a2;
int ay2 = y2 + sdy * a2;
if(nonorientable && a2) mobius_flip(ax2, ay2);
dist = min(dist, eudist(ax1 - ax2, ay1 - ay2));
}
return dist;
}
}
int euclid_getvec(int dx, int dy) {
if(euwrap) return torusconfig::getvec(dx, dy);
else return pair_to_vec(dx, dy);
}
template<class T> void build_euclidean_moves(cell *c, int vec, const T& builder) {
int x, y;
tie(x,y) = vec_to_pair(vec);
c->type = a4 ? (PURE || ((x^y^1) & 1) ? 4 : 8) : 6;
if(c->type == 4) {
int m = PURE ? 1 : 2;
builder(euclid_getvec(+1,+0), 0, 2 * m);
builder(euclid_getvec(+0,+1), 1, 3 * m);
builder(euclid_getvec(-1,+0), 2, 0 * m);
builder(euclid_getvec(+0,-1), 3, 1 * m);
}
else if(c->type == 8) {
builder(euclid_getvec(+1,+0), 0, 2);
builder(euclid_getvec(+1,+1), 1, 5);
builder(euclid_getvec(+0,+1), 2, 3);
builder(euclid_getvec(-1,+1), 3, 7);
builder(euclid_getvec(-1,+0), 4, 0);
builder(euclid_getvec(-1,-1), 5, 1);
builder(euclid_getvec(+0,-1), 6, 1);
builder(euclid_getvec(+1,-1), 7, 3);
}
else /* 6 */ {
builder(euclid_getvec(+1,+0), 0, 3);
builder(euclid_getvec(+0,+1), 1, 4);
builder(euclid_getvec(-1,+1), 2, 5);
builder(euclid_getvec(-1,+0), 3, 0);
builder(euclid_getvec(+0,-1), 4, 1);
builder(euclid_getvec(+1,-1), 5, 2);
}
}
struct hrmap_torus : hrmap {
vector<cell*> all;
vector<int> dists;
virtual vector<cell*>& allcells() { return all; }
cell *gamestart() {
return all[0];
}
hrmap_torus() {
using namespace torusconfig;
int q = getqty();
all.resize(q);
for(int i=0; i<q; i++) {
all[i] = newCell(8, encodeId(i));
}
for(int i=0; i<q; i++) {
int iv = id_to_vec(i);
build_euclidean_moves(all[i], iv, [&] (int delta, int d, int d2) {
auto im = vec_to_id_mirror(iv + delta);
all[i]->move(d) = all[im.first];
all[i]->c.setspin(d, im.second, false);
});
}
for(cell *c: all) for(int d=0; d<c->type; d++) {
cell *c2 = c->move(d);
for(int d2=0; d2<c2->type; d2++)
if(c2->move(d2) == c)
c->c.setspin(d, d2, c->c.spin(d));
}
celllister cl(gamestart(), 100, 100000000, NULL);
dists.resize(q);
for(int i=0; i<isize(cl.lst); i++)
dists[decodeId(cl.lst[i]->master)] = cl.dists[i];
}
~hrmap_torus() {
for(cell *c: all) tailored_delete(c);
}
};
hrmap_torus *torusmap() {
return dynamic_cast<hrmap_torus*> (currentmap);
}
/* cell *getTorusId(int id) {
hrmap_torus *cur = torusmap();
if(!cur) return NULL;
return cur->all[id];
} */
struct hrmap_euclidean : hrmap {
cell *gamestart() {
return *(euclideanAtCreate(0).first);
}
struct euclideanSlab {
cell* a[256][256];
euclideanSlab() {
for(int y=0; y<256; y++) for(int x=0; x<256; x++)
a[y][x] = NULL;
}
~euclideanSlab() {
for(int y=0; y<256; y++) for(int x=0; x<256; x++)
if(a[y][x]) tailored_delete(a[y][x]);
}
};
static const int slabs = max_vec / 256;
euclideanSlab* euclidean[slabs][slabs];
hrmap_euclidean() {
for(int y=0; y<slabs; y++) for(int x=0; x<slabs; x++)
euclidean[y][x] = NULL;
}
euc_pointer at(int vec) {
auto p = vec_to_pair(vec);
int x = p.first, y = p.second;
bool mobius = false;
if(euwrap)
mobius = torusconfig::be_canonical(x, y);
euclideanSlab*& slab = euclidean[(y>>8)&(slabs-1)][(x>>8)&(slabs-1)];
if(!slab) slab = new hrmap_euclidean::euclideanSlab;
return make_pair(&(slab->a[y&255][x&255]), mobius);
}
map<int, struct cdata> eucdata;
~hrmap_euclidean() {
for(int y=0; y<slabs; y++) for(int x=0; x<slabs; x++)
if(euclidean[y][x]) {
tailored_delete(euclidean[y][x]);
euclidean[y][x] = NULL;
}
eucdata.clear();
}
};
cellwalker vec_to_cellwalker(int vec) {
if(!fulltorus) {
auto p = euclideanAtCreate(vec);
if(p.second)
return cellwalker(*p.first, torusconfig::mobius_dir(*p.first), true);
else
return cellwalker(*p.first, 0, false);
}
else {
hrmap_torus *cur = torusmap();
if(!cur) return cellwalker(NULL, 0);
auto p = torusconfig::vec_to_id_mirror(vec);
return cellwalker(cur->all[p.first], 0, p.second);
}
}
int cellwalker_to_vec(cellwalker cw) {
int id = decodeId(cw.at->master);
if(!fulltorus) {
if(nonorientable) {
auto ep = euclideanAt(id);
if(ep.second != cw.mirrored) {
int x, y;
tie(x, y) = vec_to_pair(id);
x += torusconfig::sdx;
y += torusconfig::sdy;
torusconfig::mobius_flip(x, y);
return pair_to_vec(x, y);
}
}
return id;
}
return torusconfig::id_to_vec(id, cw.mirrored);
}
int cell_to_vec(cell *c) {
int id = decodeId(c->master);
if(!fulltorus) return id;
return torusconfig::id_to_vec(id, false);
}
pair<int, int> cell_to_pair(cell *c) {
return vec_to_pair(cell_to_vec(c));
}
union heptacoder {
heptagon *h;
int id;
};
int decodeId(heptagon* h) {
heptacoder u;
u.h = h; return u.id;
}
heptagon* encodeId(int id) {
heptacoder u;
u.id = id;
return u.h;
}
// --- quotient geometry --- // --- quotient geometry ---
namespace quotientspace { namespace quotientspace {
@ -1236,7 +778,7 @@ void initcells() {
else if(archimedean) currentmap = arcm::new_map(); else if(archimedean) currentmap = arcm::new_map();
#endif #endif
else if(fulltorus) currentmap = new hrmap_torus; else if(fulltorus) currentmap = new hrmap_torus;
else if(euclid && DIM == 3) currentmap = space::new_map(); else if(euclid && DIM == 3) currentmap = euclid3::new_map();
else if(euclid) currentmap = new hrmap_euclidean; else if(euclid) currentmap = new hrmap_euclidean;
else if(sphere) currentmap = new hrmap_spherical; else if(sphere) currentmap = new hrmap_spherical;
else if(quotient) currentmap = new quotientspace::hrmap_quotient; else if(quotient) currentmap = new quotientspace::hrmap_quotient;
@ -1873,7 +1415,7 @@ int celldistance(cell *c1, cell *c2) {
return binary::celldistance3(c1, c2); return binary::celldistance3(c1, c2);
if(euclid && DIM == 3) if(euclid && DIM == 3)
return space::celldistance(c1, c2); return euclid3::celldistance(c1, c2);
return hyperbolic_celldistance(c1, c2); return hyperbolic_celldistance(c1, c2);
} }

2
compileunits.h
View File

@ -31,7 +31,7 @@
#include "heptagon.cpp" #include "heptagon.cpp"
#include "binary-tiling.cpp" #include "binary-tiling.cpp"
#include "archimedean.cpp" #include "archimedean.cpp"
#include "space.cpp" #include "euclid.cpp"
#include "crystal.cpp" #include "crystal.cpp"
#include "language.cpp" #include "language.cpp"
#include "cell.cpp" #include "cell.cpp"

479
euclid.cpp
View File

@ -1,17 +1,480 @@
// Hyperbolic Rogue -- euclidean 3D geometry // Hyperbolic Rogue -- Euclidean geometry, including 2D, 3D, and quotient spaces
// Copyright (C) 2011-2018 Zeno Rogue, see 'hyper.cpp' for details // Copyright (C) 2011-2018 Zeno Rogue, see 'hyper.cpp' for details
namespace hr { namespace hr {
#if DIM == 3 // 2D Euclidean space
namespace space {
// --- euclidean geometry ---
// NOTE: patterns assume that pair_to_vec(0,1) % 3 == 2!
// Thus, pair_to_vec(0,1) must not be e.g. a power of four
int pair_to_vec(int x, int y) {
return x + (y << 15);
}
pair<int, int> vec_to_pair(int vec) {
int x = vec & ((1<<15)-1);
int y = (vec >> 15);
if(x >= (1<<14)) x -= (1<<15), y++;
return {x, y};
}
namespace torusconfig {
// the configuration of the torus topology.
// torus cells are indexed [0..qty),
// where the cell to the right from i is indexed i+dx,
// and the cell to the down-right is numbered i+dy
// Changed with command line option: -tpar <qty>,<dx>,<dy>
// Ideally, qty, dx, and dy should have the same "modulo 3"
// values as the default -- otherwise the three-color
// pattern breaks. Also, they should have no common
// prime divisor.
int def_qty = 127*3, dx = 1, def_dy = -11*2;
int qty = def_qty, dy = def_dy;
int sdx = 12, sdy = 12;
// new values to change
int newqty, newdy, newsdx, newsdy;
int torus_cx, torus_cy;
vector<torusmode_info> tmodes = {
{"single row (hex)", TF_SINGLE | TF_HEX},
{"single row (squares)", TF_SINGLE | TF_SQUARE},
{"parallelogram (hex)", TF_SIMPLE | TF_HEX},
{"rectangle (squares)", TF_SIMPLE | TF_SQUARE},
{"rectangle (hex)", TF_WEIRD | TF_HEX},
{"Klein bottle (squares)", TF_SIMPLE | TF_KLEIN | TF_SQUARE},
{"Klein bottle (hex)", TF_WEIRD | TF_KLEIN | TF_HEX},
{"cylinder (squares)", TF_SIMPLE | TF_CYL },
{"cylinder (hex)", TF_SIMPLE | TF_CYL | TF_HEX},
{"Möbius band (squares)", TF_SIMPLE | TF_CYL | TF_KLEIN},
{"Möbius band (hex)", TF_SIMPLE | TF_CYL | TF_HEX | TF_KLEIN},
};
eTorusMode torus_mode, newmode;
flagtype tmflags() { return tmodes[torus_mode].flags; }
int getqty() {
if(tmflags() & TF_SINGLE)
return qty;
else
return sdx * sdy;
}
int getvec(int x, int y) {
if(tmflags() & TF_SINGLE)
return x * dx + y * dy;
else if(tmflags() & TF_SIMPLE)
return pair_to_vec(x, y);
else
return pair_to_vec(-y - 2 * x, 3 * y);
}
int id_to_vec(int id, bool mirrored = false) {
if(tmflags() & TF_SINGLE)
return id;
else {
int dx = id % sdx;
int dy = id / sdx;
if(mirrored)
dy = -dy, dx += sdx;
if(tmflags() & TF_SIMPLE)
return pair_to_vec(dx, dy);
else
return pair_to_vec(- 2 * dx - (dy & 1), 3 * dy);
}
}
pair<int, bool> vec_to_id_mirror(int vec) {
if(tmflags() & TF_SINGLE) {
return {gmod(vec, qty), false};
}
else {
int x, y;
tie(x,y) = vec_to_pair(vec);
bool mirror = false;
if(tmflags() & TF_KLEIN) {
if(tmflags() & TF_WEIRD) {
x = gmod(x, 4 * sdx);
mirror = x > 0 && x <= 2 * sdx;
}
else {
x = gmod(x, 2 * sdx);
mirror = x >= sdx;
}
if(mirror) y = -y;
}
if(tmflags() & TF_WEIRD) {
y /= 3; x = (x + (y&1)) / -2;
}
x = gmod(x, sdx), y = gmod(y, sdy);
return {y * sdx + x, mirror};
}
}
int vec_to_id(int vec) {
return vec_to_id_mirror(vec).first;
}
void torus_test() {
printf("Testing torus vec_to_pair/pair_to_vec...\n");
for(int x=-10; x<=10; x++)
for(int y=-10; y<=10; y++) {
auto p = vec_to_pair(pair_to_vec(x, y));
if(p.first != x || p.second != y)
printf("Failed for (%d,%d) -> [%d] -> (%d,%d)\n", x, y, pair_to_vec(x,y), p.first, p.second);
}
printf("Testing id_to_vec / vec_to_id...\n");
for(int i=0; i < getqty(); i++)
for(int m=0; m< (torus_mode == tmKlein ? 2 : 1); m++)
if(vec_to_id_mirror(id_to_vec(i, m)) != pair<int,bool> (i,m))
printf("Failed for id %d.%d [%d] (%d.%d)\n", i, m, id_to_vec(i,m), vec_to_id(id_to_vec(i,m)), vec_to_id_mirror(id_to_vec(i,m)).second);
}
int tester = addHook(hooks_tests, 0, torus_test);
void activate() {
auto& gi(ginf[gTorus]);
if(tmflags() & TF_HEX)
gi.vertex = 3, gi.sides = 6, gi.tiling_name = "{6,3}";
else
gi.vertex = 4, gi.sides = 4, gi.tiling_name = "{4,4}";
flagtype& flags = gi.flags;
set_flag(flags, qNONORIENTABLE, tmflags() & TF_KLEIN);
set_flag(flags, qBOUNDED, !(tmflags() & TF_CYL));
int i = 0;
if(tmflags() & TF_KLEIN) i++;
if(tmflags() & TF_CYL) i+=2;
const char *quonames[4] = {"torus", "Klein bottle", "cylinder", "Möbius band"};
gi.quotient_name = quonames[i];
}
int dscalar(gp::loc e1, gp::loc e2) {
return 2 * (e1.first * e2.first + e1.second*e2.second) + (S3 == 3 ? e1.first*e2.second + e2.first * e1.second : 0);
}
int dcross(gp::loc e1, gp::loc e2) {
return e1.first * e2.second - e1.second*e2.first;
}
gp::loc sdxy() { return gp::loc(sdx, sdy); }
int mobius_dir_basic() {
int dscalars[6];
for(int a=0; a<SG6; a++)
dscalars[a] = dscalar(gp::eudir(a), sdxy());
for(int a=0; a<SG6; a++)
for(int b=0; b<SG6; b++)
if(a != b && dscalars[a] == dscalars[b]) {
return (a + b) % SG6;
}
return -1;
}
bool mobius_symmetric(bool square, int dx, int dy) {
dynamicval<eGeometry> g(geometry, square ? gEuclidSquare : gEuclid);
dynamicval<int> gx(sdx, dx);
dynamicval<int> gy(sdy, dy);
return mobius_dir_basic() != -1;
}
void mobius_flip(int&x, int& y) {
int d = mobius_dir_basic();
int a, b;
if(d == 0) a = 1, b = SG6-1;
else a = 0, b = d;
auto p1 = gp::eudir(a);
auto p2 = gp::eudir(b);
// x = sdx * s + px * t
// y = sdy * s + py * t
// py * x = py * sdx * s + px * py * t
// px * y = px * sdy * s + px + py * t
// py * x - px * y = py * sdx * s - px * sdy * s
// s = (py * x - px * y) / (py * sdx - px * sdy)
int det = p1.second * sdx - p1.first * sdy;
int smul = p1.second * x - p1.first * y;
int tmul = sdx * y - sdy * x;
x = (tmul * p2.first + smul * sdx) / det;
y = (tmul * p2.second + smul * sdy) / det;
// println(hlog, make_pair(ox,oy), " [", d, "] ", make_pair(x,y), " p1 = ", p1, " p2 = ", p2, " det = ", det, " smul = ", smul, " tmul = ", tmul);
}
int mobius_dir(cell *c) {
if(c->type == 8) return mobius_dir_basic() * 2;
else return mobius_dir_basic();
}
bool be_canonical(int& x, int& y) {
using namespace torusconfig;
int periods = gdiv(dscalar(gp::loc(x,y), sdxy()), dscalar(sdxy(), sdxy()));
y -= sdy * periods;
x -= sdx * periods;
bool b = false;
if(nonorientable && (periods & 1)) {
mobius_flip(x, y);
b = true;
}
return b;
}
int cyldist(int id1, int id2) {
int x1, y1, x2, y2;
tie(x1, y1) = vec_to_pair(id1);
tie(x2, y2) = vec_to_pair(id2);
be_canonical(x1, y1);
be_canonical(x2, y2);
int dist = 1000000000;
for(int a1=-1; a1<=1; a1++)
for(int a2=-1; a2<=1; a2++) {
int ax1 = x1 + sdx * a1;
int ay1 = y1 + sdy * a1;
if(nonorientable && a1) mobius_flip(ax1, ay1);
int ax2 = x2 + sdx * a2;
int ay2 = y2 + sdy * a2;
if(nonorientable && a2) mobius_flip(ax2, ay2);
dist = min(dist, eudist(ax1 - ax2, ay1 - ay2));
}
return dist;
}
}
int euclid_getvec(int dx, int dy) {
if(euwrap) return torusconfig::getvec(dx, dy);
else return pair_to_vec(dx, dy);
}
template<class T> void build_euclidean_moves(cell *c, int vec, const T& builder) {
int x, y;
tie(x,y) = vec_to_pair(vec);
c->type = a4 ? (PURE || ((x^y^1) & 1) ? 4 : 8) : 6;
if(c->type == 4) {
int m = PURE ? 1 : 2;
builder(euclid_getvec(+1,+0), 0, 2 * m);
builder(euclid_getvec(+0,+1), 1, 3 * m);
builder(euclid_getvec(-1,+0), 2, 0 * m);
builder(euclid_getvec(+0,-1), 3, 1 * m);
}
else if(c->type == 8) {
builder(euclid_getvec(+1,+0), 0, 2);
builder(euclid_getvec(+1,+1), 1, 5);
builder(euclid_getvec(+0,+1), 2, 3);
builder(euclid_getvec(-1,+1), 3, 7);
builder(euclid_getvec(-1,+0), 4, 0);
builder(euclid_getvec(-1,-1), 5, 1);
builder(euclid_getvec(+0,-1), 6, 1);
builder(euclid_getvec(+1,-1), 7, 3);
}
else /* 6 */ {
builder(euclid_getvec(+1,+0), 0, 3);
builder(euclid_getvec(+0,+1), 1, 4);
builder(euclid_getvec(-1,+1), 2, 5);
builder(euclid_getvec(-1,+0), 3, 0);
builder(euclid_getvec(+0,-1), 4, 1);
builder(euclid_getvec(+1,-1), 5, 2);
}
}
struct hrmap_torus : hrmap {
vector<cell*> all;
vector<int> dists;
virtual vector<cell*>& allcells() { return all; }
cell *gamestart() {
return all[0];
}
hrmap_torus() {
using namespace torusconfig;
int q = getqty();
all.resize(q);
for(int i=0; i<q; i++) {
all[i] = newCell(8, encodeId(i));
}
for(int i=0; i<q; i++) {
int iv = id_to_vec(i);
build_euclidean_moves(all[i], iv, [&] (int delta, int d, int d2) {
auto im = vec_to_id_mirror(iv + delta);
all[i]->move(d) = all[im.first];
all[i]->c.setspin(d, im.second, false);
});
}
for(cell *c: all) for(int d=0; d<c->type; d++) {
cell *c2 = c->move(d);
for(int d2=0; d2<c2->type; d2++)
if(c2->move(d2) == c)
c->c.setspin(d, d2, c->c.spin(d));
}
celllister cl(gamestart(), 100, 100000000, NULL);
dists.resize(q);
for(int i=0; i<isize(cl.lst); i++)
dists[decodeId(cl.lst[i]->master)] = cl.dists[i];
}
~hrmap_torus() {
for(cell *c: all) tailored_delete(c);
}
};
hrmap_torus *torusmap() {
return dynamic_cast<hrmap_torus*> (currentmap);
}
/* cell *getTorusId(int id) {
hrmap_torus *cur = torusmap();
if(!cur) return NULL;
return cur->all[id];
} */
struct hrmap_euclidean : hrmap {
cell *gamestart() {
return *(euclideanAtCreate(0).first);
}
struct euclideanSlab {
cell* a[256][256];
euclideanSlab() {
for(int y=0; y<256; y++) for(int x=0; x<256; x++)
a[y][x] = NULL;
}
~euclideanSlab() {
for(int y=0; y<256; y++) for(int x=0; x<256; x++)
if(a[y][x]) tailored_delete(a[y][x]);
}
};
static const int slabs = max_vec / 256;
euclideanSlab* euclidean[slabs][slabs];
hrmap_euclidean() {
for(int y=0; y<slabs; y++) for(int x=0; x<slabs; x++)
euclidean[y][x] = NULL;
}
euc_pointer at(int vec) {
auto p = vec_to_pair(vec);
int x = p.first, y = p.second;
bool mobius = false;
if(euwrap)
mobius = torusconfig::be_canonical(x, y);
euclideanSlab*& slab = euclidean[(y>>8)&(slabs-1)][(x>>8)&(slabs-1)];
if(!slab) slab = new hrmap_euclidean::euclideanSlab;
return make_pair(&(slab->a[y&255][x&255]), mobius);
}
map<int, struct cdata> eucdata;
~hrmap_euclidean() {
for(int y=0; y<slabs; y++) for(int x=0; x<slabs; x++)
if(euclidean[y][x]) {
tailored_delete(euclidean[y][x]);
euclidean[y][x] = NULL;
}
eucdata.clear();
}
};
cellwalker vec_to_cellwalker(int vec) {
if(!fulltorus) {
auto p = euclideanAtCreate(vec);
if(p.second)
return cellwalker(*p.first, torusconfig::mobius_dir(*p.first), true);
else
return cellwalker(*p.first, 0, false);
}
else {
hrmap_torus *cur = torusmap();
if(!cur) return cellwalker(NULL, 0);
auto p = torusconfig::vec_to_id_mirror(vec);
return cellwalker(cur->all[p.first], 0, p.second);
}
}
int cellwalker_to_vec(cellwalker cw) {
int id = decodeId(cw.at->master);
if(!fulltorus) {
if(nonorientable) {
auto ep = euclideanAt(id);
if(ep.second != cw.mirrored) {
int x, y;
tie(x, y) = vec_to_pair(id);
x += torusconfig::sdx;
y += torusconfig::sdy;
torusconfig::mobius_flip(x, y);
return pair_to_vec(x, y);
}
}
return id;
}
return torusconfig::id_to_vec(id, cw.mirrored);
}
int cell_to_vec(cell *c) {
int id = decodeId(c->master);
if(!fulltorus) return id;
return torusconfig::id_to_vec(id, false);
}
pair<int, int> cell_to_pair(cell *c) {
return vec_to_pair(cell_to_vec(c));
}
union heptacoder {
heptagon *h;
int id;
};
int decodeId(heptagon* h) {
heptacoder u;
u.h = h; return u.id;
}
heptagon* encodeId(int id) {
heptacoder u;
u.id = id;
return u.h;
}
// 3D Euclidean space
#if MAXDIM == 4
namespace euclid3 {
typedef long long coord; typedef long long coord;
struct hrmap_cube : hrmap { struct hrmap_euclid3 : hrmap {
map<coord, heptagon*> spacemap; map<coord, heptagon*> spacemap;
map<heptagon*, coord> ispacemap; map<heptagon*, coord> ispacemap;
hrmap_cube() { hrmap_euclid3() {
getOrigin(); getOrigin();
} }
heptagon *getOrigin() { heptagon *getOrigin() {
@ -45,12 +508,12 @@ namespace space {
} }
}; };
hrmap_cube* cubemap() { hrmap_euclid3* cubemap() {
return ((hrmap_cube*) currentmap); return ((hrmap_euclid3*) currentmap);
} }
hrmap* new_map() { hrmap* new_map() {
return new hrmap_cube; return new hrmap_euclid3;
} }
heptagon *createStep(heptagon *parent, int d) { heptagon *createStep(heptagon *parent, int d) {

2
geometry2.cpp
View File

@ -93,7 +93,7 @@ transmatrix calc_relative_matrix(cell *c2, cell *c1, const hyperpoint& point_hin
if(binarytiling) return binary::relative_matrix(c2->master, c1->master); if(binarytiling) return binary::relative_matrix(c2->master, c1->master);
#endif #endif
#if MAXDIM == 4 #if MAXDIM == 4
if(euclid && DIM == 3) return space::relative_matrix(c2->master, c1->master); if(euclid && DIM == 3) return euclid3::relative_matrix(c2->master, c1->master);
#endif #endif
#if CAP_ARCM #if CAP_ARCM
if(archimedean) return arcm::relative_matrix(c2->master, c1->master); if(archimedean) return arcm::relative_matrix(c2->master, c1->master);

2
graph.cpp
View File

@ -5711,7 +5711,7 @@ void drawthemap() {
#endif #endif
#if MAXDIM == 4 #if MAXDIM == 4
else if(euclid && DIM == 3) else if(euclid && DIM == 3)
space::draw(); euclid3::draw();
#endif #endif
else else
drawStandard(); drawStandard();

2
heptagon.cpp
View File

@ -233,7 +233,7 @@ heptagon *createStep(heptagon *h, int d) {
#endif #endif
#if MAXDIM == 4 #if MAXDIM == 4
if(!h->move(d) && euclid && DIM == 3) if(!h->move(d) && euclid && DIM == 3)
return space::createStep(h, d); return euclid3::createStep(h, d);
#endif #endif
#if CAP_ARCM #if CAP_ARCM
if(!h->move(d) && archimedean) { if(!h->move(d) && archimedean) {

2
hyper.h
View File

@ -4239,7 +4239,7 @@ namespace binary {
#endif #endif
#if MAXDIM == 4 #if MAXDIM == 4
namespace space { namespace euclid3 {
heptagon *createStep(heptagon *parent, int d); heptagon *createStep(heptagon *parent, int d);
hrmap* new_map(); hrmap* new_map();
void draw(); void draw();

2
hypgraph.cpp
View File

@ -1118,7 +1118,7 @@ void optimizeview() {
if(binarytiling) T = binary::relative_matrix(h2, viewctr.at); if(binarytiling) T = binary::relative_matrix(h2, viewctr.at);
#endif #endif
#if MAXDIM == 4 #if MAXDIM == 4
if(euclid && DIM == 3) T = space::relative_matrix(h2, viewctr.at); if(euclid && DIM == 3) T = euclid3::relative_matrix(h2, viewctr.at);
#endif #endif
#if CAP_ARCM #if CAP_ARCM
if(archimedean) T = arcm::relative_matrix(h2, viewctr.at); if(archimedean) T = arcm::relative_matrix(h2, viewctr.at);