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113 lines
2.4 KiB
C++
113 lines
2.4 KiB
C++
// Schmutz's Surface generator
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// Copyright (C) 2018 Zeno Rogue, see 'hyper.cpp' for details
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#include <stdio.h>
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#include <vector>
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#include <array>
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#include <map>
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#include <algorithm>
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using namespace std;
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void dualize(vector<int>& t) {
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int N = t.size();
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/*
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printf("N = %d\n", N);
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printf("pre dual:\n");
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for(int a=0; a<N; a++) {
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printf("%3d, ", t[a]);
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if(a % 12 == 11) printf("\n");
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}
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printf("post dual:\n");
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*/
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vector<int> tmap(N, -1);
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vector<int> trmap(N, -1);
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int s = 0;
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for(int i=0; i<N; i++) if(tmap[i] == -1) {
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int j = i;
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for(int k=0; k<12; k++) {
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tmap[j] = s;
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trmap[s] = j;
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s++;
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int oj = j;
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j = t[j];
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j = (j % 3 == 2) ? (j-2) : (j+1);
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// printf("%d -> %d\n", oj, j);
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}
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if(j != i) printf("not equal\n"), exit(1);
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// printf("OK\n");
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}
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// for(int a: tmap) printf("%d ", a); printf("\n");
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// for(int a: trmap) printf("%d ", a); printf("\n");
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vector<int> res(N, -1);
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for(int i=0; i<N; i++) {
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// printf("i=%d\n", i);
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res[i] = tmap[t[trmap[i]]];
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}
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// for(int a: res) printf("%d ", a); printf("\n");
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t = res;
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for(int i=0; i<N; i++) {
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int a = i;
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for(int s=0; s<3; s++) {
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a = res[a];
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a++;
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if(a % 12 == 0) a -= 12;
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}
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if(a != i) { printf("bug\n"); exit(1); }
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}
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}
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int main() {
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vector<int> triangles;
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for(int a=0; a<12; a++) {
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triangles.emplace_back(3 * ((a+1) % 12) + 1);
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triangles.emplace_back(3 * ((a+11) % 12));
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triangles.emplace_back(36 + (a%4) * 3 + 2 - (a/4));
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}
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for(int a=0; a<12; a++)
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triangles.emplace_back(0);
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for(int a=0; a<36; a++) if(triangles[a] >= 36) triangles[triangles[a]] = a;
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dualize(triangles);
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for(int a=0; a<48; a++) {
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if(a % 12 == 0) printf("\n");
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printf("%3d, ", triangles[a]);
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}
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printf("\n");
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triangles.clear();
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for(int a=0; a<12; a++) {
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triangles.emplace_back(3 * ((a+1) % 12) + 1);
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triangles.emplace_back(3 * ((a+11) % 12));
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triangles.emplace_back(36 + 3 * a);
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}
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for(int a=0; a<12; a++) {
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triangles.emplace_back(3 * a + 2);
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triangles.emplace_back(36 + (3 * a + 36 - 15 + 2) % 36);
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triangles.emplace_back(36 + (3 * a + 36 + 15 + 1) % 36);
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}
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dualize(triangles);
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for(int a=0; a<12*2*3; a++) {
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if(a % 12 == 0) printf("\n");
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printf("%3d, ", triangles[a]);
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}
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printf("\n");
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return 0;
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}
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