static ZDDNode() // static コンストラクタ。ZDDNode 使用開始直前に呼び出される
{
ZeroTerminal = new ZDDNode();
OneTerminal = new ZDDNode();
ZeroTerminal.id_ = 0;
OneTerminal.id_ = 1;
}
private static void UpdateInfo(ZDDNode n_hat, int i, int x, State state)
{
Edge edge = state.graph.GetEdgeList()[i - 1];
int[] src_dest = new int[] { edge.src, edge.dest };
foreach (int u in src_dest)
{
if (!state.F[i - 1].Contains(u))
{
n_hat.deg[u] = 0;
n_hat.comp[u] = u;
}
}
if (x == 1)
{
++n_hat.deg[edge.src];
++n_hat.deg[edge.dest];
int c_min = Math.Min(n_hat.comp[edge.src], n_hat.comp[edge.dest]);
int c_max = Math.Max(n_hat.comp[edge.src], n_hat.comp[edge.dest]);
foreach (int u in state.F[i])
{
if (n_hat.comp[u] == c_max)
{
n_hat.comp[u] = c_min;
}
}
}
}
public ZDDNode MakeCopy()
{
ZDDNode node = new ZDDNode();
node.deg = (int[])deg.Clone(); // 配列のコピーを生成
node.comp = (int[])comp.Clone();
return(node);
}
private static ZDDNode Find(ZDDNode n_prime, List <ZDDNode> N_i, int i, State state)
{
foreach (ZDDNode n_primeprime in N_i)
{
if (IsEquivalent(n_prime, n_primeprime, i, state))
{
return(n_primeprime);
}
}
return(null);
}
public void SetChild(ZDDNode node, int child_num)
{
if (child_num == 0)
{
zero_child = node;
}
else
{
one_child = node;
}
}
public static ZDDNode CreateRootNode(int number_of_vertices)
{
ZDDNode node = new ZDDNode();
node.SetNextId();
node.deg = new int[number_of_vertices + 1];
node.comp = new int[number_of_vertices + 1];
for (int i = 1; i <= number_of_vertices; ++i)
{
node.deg[i] = 0;
node.comp[i] = i;
}
return(node);
}
private static bool IsEquivalent(ZDDNode node1, ZDDNode node2, int i, State state)
{
foreach (int v in state.F[i]) // フロンティア上の頂点についてのみ比較
{
if (node1.deg[v] != node2.deg[v])
{
return(false);
}
if (node1.comp[v] != node2.comp[v])
{
return(false);
}
}
return(true);
}
public long GetNumberOfSolutions()
{
ZDDNode.ZeroTerminal.sol = 0;
ZDDNode.OneTerminal.sol = 1;
for (int i = node_list_array_.Length - 1; i >= 1; --i)
{
for (int j = 0; j < node_list_array_[i].Count; ++j)
{
ZDDNode lo_node = node_list_array_[i][j].GetChild(0);
ZDDNode hi_node = node_list_array_[i][j].GetChild(1);
node_list_array_[i][j].sol = lo_node.sol + hi_node.sol;
}
}
return(node_list_array_[1][0].sol);
}
private static ZDDNode CheckTerminal(ZDDNode n_hat, int i, int x, State state)
{
Edge edge = state.graph.GetEdgeList()[i - 1];
if (x == 1)
{
if (n_hat.comp[edge.src] == n_hat.comp[edge.dest])
{
return(ZDDNode.ZeroTerminal);
}
}
ZDDNode n_prime = n_hat.MakeCopy();
UpdateInfo(n_prime, i, x, state);
int[] src_dest = new int[] { edge.src, edge.dest };
foreach (int u in src_dest)
{
if ((u == state.s || u == state.t) && n_prime.deg[u] > 1)
{
return(ZDDNode.ZeroTerminal);
}
else if ((u != state.s && u != state.t) && n_prime.deg[u] > 2)
{
return(ZDDNode.ZeroTerminal);
}
}
foreach (int u in src_dest)
{
if (!state.F[i].Contains(u))
{
if ((u == state.s || u == state.t) && n_prime.deg[u] != 1)
{
return(ZDDNode.ZeroTerminal);
}
else if ((u != state.s && u != state.t) && n_prime.deg[u] != 0 && n_prime.deg[u] != 2)
{
return(ZDDNode.ZeroTerminal);
}
}
}
if (i == state.graph.GetEdgeList().Count)
{
return(ZDDNode.OneTerminal);
}
return(null);
}
public static ZDD Construct(State state)
{
List <Edge> edge_list = state.graph.GetEdgeList();
int[] ZeroOne = new int[] { 0, 1 };
List <ZDDNode>[] N = new List <ZDDNode> [edge_list.Count + 2];
N[1] = new List <ZDDNode>();
N[1].Add(ZDDNode.CreateRootNode(state.graph.GetNumberOfVertices()));
for (int i = 1; i <= edge_list.Count; ++i)
{
N[i + 1] = new List <ZDDNode>();
foreach (ZDDNode n_hat in N[i])
{
foreach (int x in ZeroOne)
{
ZDDNode n_prime = CheckTerminal(n_hat, i, x, state);
if (n_prime == null)
{
n_prime = n_hat.MakeCopy();
UpdateInfo(n_prime, i, x, state);
ZDDNode n_primeprime = Find(n_prime, N[i + 1], i, state);
if (n_primeprime != null)
{
n_prime = n_primeprime;
}
else
{
n_prime.SetNextId();
N[i + 1].Add(n_prime);
}
}
n_hat.SetChild(n_prime, x);
}
}
}
return(new ZDD(N));
}
public void SetChild(ZDDNode node, int child_num)
{
if (child_num == 0)
{
zero_child = node;
}
else
{
one_child = node;
}
}
public ZDDNode MakeCopy()
{
ZDDNode node = new ZDDNode();
node.deg = (int[])deg.Clone(); // 配列のコピーを生成
node.comp = (int[])comp.Clone();
return node;
}
public static ZDDNode CreateRootNode(int number_of_vertices)
{
ZDDNode node = new ZDDNode();
node.SetNextId();
node.deg = new int[number_of_vertices + 1];
node.comp = new int[number_of_vertices + 1];
for (int i = 1; i <= number_of_vertices; ++i)
{
node.deg[i] = 0;
node.comp[i] = i;
}
return node;
}
// static コンストラクタ。ZDDNode 使用開始直前に呼び出される
static ZDDNode()
{
ZeroTerminal = new ZDDNode();
OneTerminal = new ZDDNode();
ZeroTerminal.id_ = 0;
OneTerminal.id_ = 1;
}
private static void UpdateInfo(ZDDNode n_hat, int i, int x, State state)
{
Edge edge = state.graph.GetEdgeList()[i - 1];
int[] src_dest = new int[] { edge.src, edge.dest };
foreach (int u in src_dest)
{
if (!state.F[i - 1].Contains(u))
{
n_hat.deg[u] = 0;
n_hat.comp[u] = u;
}
}
if (x == 1)
{
++n_hat.deg[edge.src];
++n_hat.deg[edge.dest];
int c_min = Math.Min(n_hat.comp[edge.src], n_hat.comp[edge.dest]);
int c_max = Math.Max(n_hat.comp[edge.src], n_hat.comp[edge.dest]);
foreach (int u in state.F[i])
{
if (n_hat.comp[u] == c_max)
{
n_hat.comp[u] = c_min;
}
}
}
}
private static bool IsEquivalent(ZDDNode node1, ZDDNode node2, int i, State state)
{
foreach (int v in state.F[i]) // フロンティア上の頂点についてのみ比較
{
if (node1.deg[v] != node2.deg[v])
{
return false;
}
if (node1.comp[v] != node2.comp[v])
{
return false;
}
}
return true;
}
private static ZDDNode Find(ZDDNode n_prime, List<ZDDNode> N_i, int i, State state)
{
foreach (ZDDNode n_primeprime in N_i)
{
if (IsEquivalent(n_prime, n_primeprime, i, state))
{
return n_primeprime;
}
}
return null;
}
private static ZDDNode CheckTerminal(ZDDNode n_hat, int i, int x, State state)
{
Edge edge = state.graph.GetEdgeList()[i - 1];
if (x == 1)
{
if (n_hat.comp[edge.src] == n_hat.comp[edge.dest])
{
return ZDDNode.ZeroTerminal;
}
}
ZDDNode n_prime = n_hat.MakeCopy();
UpdateInfo(n_prime, i, x, state);
int[] src_dest = new int[] { edge.src, edge.dest };
foreach (int u in src_dest)
{
if ((u == state.s || u == state.t) && n_prime.deg[u] > 1)
{
return ZDDNode.ZeroTerminal;
}
else if ((u != state.s && u != state.t) && n_prime.deg[u] > 2)
{
return ZDDNode.ZeroTerminal;
}
}
foreach (int u in src_dest)
{
if (!state.F[i].Contains(u))
{
if ((u == state.s || u == state.t) && n_prime.deg[u] != 1)
{
return ZDDNode.ZeroTerminal;
}
else if ((u != state.s && u != state.t) && n_prime.deg[u] != 0 && n_prime.deg[u] != 2)
{
return ZDDNode.ZeroTerminal;
}
}
}
if (i == state.graph.GetEdgeList().Count)
{
return ZDDNode.OneTerminal;
}
return null;
}