mirror of
https://github.com/zenorogue/hyperrogue.git
synced 2024-12-11 03:50:27 +00:00
123 lines
2.6 KiB
C++
123 lines
2.6 KiB
C++
// Bring's Surface generator
|
|
// Copyright (C) 2018 Zeno Rogue, see 'hyper.cpp' for details
|
|
|
|
#include <stdio.h>
|
|
#include <vector>
|
|
#include <array>
|
|
#include <map>
|
|
#include <algorithm>
|
|
|
|
using namespace std;
|
|
|
|
int isize(const auto x) { return x.size(); }
|
|
|
|
int mul(int a, int b) {
|
|
int p = 0;
|
|
for(int i=0; i<3; i++) if((a>>i)&1)
|
|
for(int j=0; j<3; j++) if((b>>j)&1)
|
|
p ^= (1<<(i+j));
|
|
|
|
for(int z=4; z>=0; z--)
|
|
if(p&(8<<z)) p ^= (11<<z);
|
|
|
|
return p;
|
|
}
|
|
|
|
int elements = 0;
|
|
|
|
vector<array<int, 5>> s5_elements;
|
|
|
|
map<array<int, 5>, int> back;
|
|
|
|
int multable[504][504];
|
|
|
|
int mpow(int a, int n) {
|
|
int z = a;
|
|
while(n > 1) z = multable[a][z], n--;
|
|
return z;
|
|
}
|
|
|
|
int inset[504];
|
|
|
|
int main() {
|
|
array<int, 5> ar;
|
|
for(int i=0; i<5; i++) ar[i] = i;
|
|
|
|
do {
|
|
back[ar] = isize(s5_elements);
|
|
s5_elements.push_back(ar);
|
|
}
|
|
while(next_permutation(ar.begin(), ar.end()));
|
|
|
|
for(int a=0; a<120; a++)
|
|
for(int b=0; b<120; b++) {
|
|
array<int, 5> res;
|
|
for(int i=0; i<5; i++)
|
|
res[i] = s5_elements[a] [ s5_elements[b][i] ];
|
|
multable[a][b] = back[res];
|
|
}
|
|
|
|
int id;
|
|
|
|
for(int a=0; a<120; a++)
|
|
if(multable[a][a] == a) id = a;
|
|
|
|
printf("id = %d\n", id);
|
|
|
|
int xid = 0;
|
|
|
|
int sols = 0;
|
|
|
|
for(int R=0; R<120; R++)
|
|
for(int P=0; P<120; P++) {
|
|
if(P == 0 && mpow(R, 5) == id) printf("deg5 R\n");
|
|
if(multable[P][P] != id) continue;
|
|
if(mpow(multable[R][P], 4) != id) continue;
|
|
if(mpow(R, 5) != id) continue;
|
|
xid++;
|
|
vector<int> allels = {id};
|
|
inset[id] = xid;
|
|
for(int i=0; i<isize(allels); i++) {
|
|
for(int m: {P, R}) {
|
|
int im = allels[i];
|
|
int a = multable[im][m];
|
|
// printf("%d x %d = %d\n", im, m, a);
|
|
if(inset[a] != xid) inset[a] = xid, allels.push_back(a);
|
|
}
|
|
}
|
|
if(isize(allels) != 120) continue;
|
|
printf("R = %d P = %d count = %d\n", R, P, isize(allels));
|
|
for(int a: s5_elements[R]) printf("%d ", a); printf("// ");
|
|
for(int a: s5_elements[P]) printf("%d ", a); printf("\n");
|
|
sols++;
|
|
|
|
array<int, 120> cellid;
|
|
array<int, 120> bycellid;
|
|
|
|
for(int a=0; a<120; a++) cellid[a] = 0;
|
|
|
|
int ncell = 0;
|
|
for(int a=0; a<120; a++) if(cellid[a] == 0) {
|
|
int b = a;
|
|
for(int s=0; s<5; s++) cellid[b] = ncell + s, bycellid[ncell + s] = b, b = multable[b][R];
|
|
ncell += 5;
|
|
}
|
|
|
|
printf("ncell = %d\n", ncell);
|
|
|
|
for(int a=0; a<24; a++) {
|
|
printf("/* %03d */ ", a);
|
|
for(int b=0; b<5; b++) {
|
|
printf("%d, ", cellid[multable[bycellid[5*a+b]][P]]);
|
|
}
|
|
printf("\n");
|
|
}
|
|
|
|
return 0;
|
|
}
|
|
|
|
printf("solutions = %d\n", sols);
|
|
|
|
return 0;
|
|
}
|