diff options
Diffstat (limited to 'graph/bitonicTSP.cpp')
| -rw-r--r-- | graph/bitonicTSP.cpp | 51 |
1 files changed, 29 insertions, 22 deletions
diff --git a/graph/bitonicTSP.cpp b/graph/bitonicTSP.cpp index 2a8b5f9..767bc5b 100644 --- a/graph/bitonicTSP.cpp +++ b/graph/bitonicTSP.cpp @@ -1,24 +1,31 @@ -// Laufzeit: O(n^2) -vector<vector<double>> dp, dist; // Entfernungen zwischen Punkten. +vector<vector<double>> dist; // Initialisiere mit Entfernungen zwischen Punkten. -double get(int p1, int p2) { - int v = max(p1, p2) + 1; - if (v == dist.size()) return dist[p1][v - 1] + dist[p2][v - 1]; - if (dp[p1][p2] >= 0.0) return dp[p1][p2]; - double tryLR = dist[p1][v] + get(v, p2); - double tryRL = dist[p2][v] + get(p1, v); - return dp[p1][p2] = min(tryLR, tryRL); -} +void bitonicTSP() { + vector<double> dp(sz(dist), HUGE_VAL); + vector<int> pre(sz(dist)); // nur für Tour + dp[0] = 0; dp[1] = 2 * dist[0][1]; pre[1] = 0; + for (unsigned int i = 2; i < sz(dist); i++) { + double link = 0; + for (int j = i - 2; j >= 0; j--) { + link += dist[j + 1][j + 2]; + double opt = link + dist[j][i] + dp[j + 1] - dist[j][j + 1]; + if (opt < dp[i]) { + dp[i] = opt; + pre[i] = j; + }}} + // return dp.back(); // Länger der Tour -void bitonicTour() { - dp.assign(dist.size(), vector<double>(dist.size(), -1)); - get(0, 0); // return dp[0][0]; // Länger der Tour - vector<int> lr = {0}, rl = {0}; - for (int p1 = 0, p2 = 0, v; (v = max(p1, p2) + 1) < dist.size();) { - if (dp[p1][p2] == dist[p1][v] + dp[v][p2]) { - lr.push_back(v); p1 = v; - } else { - rl.push_back(v); p2 = v; - }} - lr.insert(lr.end(), rl.rbegin(), rl.rend()); // Tour, Knoten 0 doppelt. -} + int j, n = sz(dist) - 1; + vector<int> ut, lt = {n, n - 1}; + do { + j = pre[n]; + (lt.back() == n ? lt : ut).push_back(j); + for (int i = n - 1; i > j + 1; i--) { + (lt.back() == i ? lt : ut).push_back(i - 1); + } + } while(n = j + 1, j > 0); + (lt.back() == 1 ? lt : ut).push_back(0); + reverse(lt.begin(), lt.end()); + lt.insert(lt.end(), ut.begin(), ut.end()); + //return lt;// Enthält Knoten 0 zweimal. An erster und letzter Position. +}
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