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package uk.ac.ebi.beam;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.BitSet;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.List;
import java.util.Map;
import java.util.Set;
/**
* Normalise directional labels such that the first label is always a '/'. Given a molecule with
* directional bonds {@code F\C=C\F} the labels are normalised to be {@code F/C=C/F}.
*
* @author John May
*/
final class NormaliseDirectionalLabels
extends AbstractFunction {
@Override public Graph apply(Graph g) {
Traversal traversal = new Traversal(g);
Graph h = new Graph(g.order());
h.addFlags(g.getFlags(0xffffffff));
// copy atom/topology information this is unchanged
for (int u = 0; u < g.order(); u++) {
h.addAtom(g.atom(u));
h.addTopology(g.topologyOf(u));
}
// change edges (only changed added to replacement)
for (int u = 0; u < g.order(); u++) {
final int d = g.degree(u);
for (int j = 0; j < d; ++j) {
final Edge e = g.edgeAt(u, j);
if (e.other(u) > u) {
if (traversal.acc.containsKey(e)) {
h.addEdge(traversal.acc.get(e));
}
else {
h.addEdge(e);
}
}
}
}
return h.sort(new Graph.CanOrderFirst());
}
private static final class Traversal {
private final Graph g;
private final boolean[] visited;
private final int[] ordering;
private int i;
private Map acc = new HashMap();
private List doubleBonds = new ArrayList<>();
private Set adj = new HashSet<>();
private Traversal(Graph g) {
this.g = g;
this.visited = new boolean[g.order()];
this.ordering = new int[g.order()];
BitSet dbAtoms = new BitSet();
for (int u = 0; u < g.order(); u++) {
if (!visited[u])
dbAtoms.or(visit(u, u));
}
Collections.sort(doubleBonds, new Comparator() {
@Override public int compare(Edge e, Edge f) {
int u1 = e.either();
int v1 = e.other(u1);
int u2 = f.either();
int v2 = f.other(u2);
int min1 = Math.min(ordering[u1], ordering[v1]);
int min2 = Math.min(ordering[u2], ordering[v2]);
int cmp = min1 - min2;
if (cmp != 0) return cmp;
int max1 = Math.max(ordering[u1], ordering[v1]);
int max2 = Math.max(ordering[u2], ordering[v2]);
return max1 - max2;
}
});
for (Edge e : doubleBonds) {
if (acc.containsKey(e))
continue;
flip(g, e, dbAtoms);
}
}
private BitSet visit(int p, int u) {
visited[u] = true;
ordering[u] = i++;
BitSet dbAtoms = new BitSet();
final int d = g.degree(u);
for (int j = 0; j < d; ++j) {
final Edge e = g.edgeAt(u, j);
int v = e.other(u);
if (v == p)
continue;
if (e.bond().order() == 2 && hasAdjDirectionalLabels(g, e)) {
dbAtoms.set(u);
dbAtoms.set(v);
// only the first bond we encounter in an isolated system
// is marked - if we need to flip the other we propagate
// this down the chain
boolean newSystem = !adj.contains(u) && !adj.contains(v);
// to stop adding other we mark all vertices adjacent to the
// double bond
final int d2 = g.degree(u);
for (int j2 = 0; j2 < d2; ++j2) {
adj.add(g.edgeAt(u, j2).other(u));
}
final int d3 = g.degree(v);
for (int j2 = 0; j2 < d3; ++j2) {
adj.add(g.edgeAt(v, j2).other(v));
}
doubleBonds.add(e);
}
if (!visited[v])
dbAtoms.or(visit(u, v));
}
return dbAtoms;
}
private boolean hasAdjDirectionalLabels(Graph g, Edge e) {
int u = e.either();
int v = e.other(u);
return hasAdjDirectionalLabels(g, u) && hasAdjDirectionalLabels(g, v);
}
private boolean hasAdjDirectionalLabels(Graph g, int u) {
final int d = g.degree(u);
for (int j = 0; j < d; ++j) {
final Edge f = g.edgeAt(u, j);
if (f.bond().directional())
return true;
}
return false;
}
private void flip(Graph g, Edge e, BitSet dbAtoms) {
int u = e.either();
int v = e.other(u);
if (ordering[u] < ordering[v]) {
Edge first = firstDirectionalLabel(g, u);
if (first != null) {
flip(first, u, dbAtoms);
}
else {
first = firstDirectionalLabel(g, v);
flip(first, v, dbAtoms);
}
}
else {
Edge first = firstDirectionalLabel(g, v);
if (first != null) {
flip(first, v, dbAtoms);
}
else {
first = firstDirectionalLabel(g, u);
flip(first, u, dbAtoms);
}
}
}
private void flip(Edge first, int u, BitSet dbAtoms) {
if (ordering[first.other(u)] < ordering[u]) {
if (first.bond(u) == Bond.UP)
invertExistingDirectionalLabels(g,
u,
new BitSet(),
acc,
dbAtoms,
u);
else
markExistingDirectionalLabels(g,
u,
new BitSet(),
acc,
dbAtoms,
u);
}
else {
if (first.bond(u) == Bond.DOWN)
invertExistingDirectionalLabels(g,
u,
new BitSet(),
acc,
dbAtoms,
u);
else
markExistingDirectionalLabels(g,
u,
new BitSet(),
acc,
dbAtoms,
u);
}
}
Edge firstDirectionalLabel(Graph g, int u) {
Edge first = null;
final int d = g.degree(u);
for (int j = 0; j < d; ++j) {
final Edge f = g.edgeAt(u, j);
if (f.bond() == Bond.UP || f.bond() == Bond.DOWN) {
if (first == null || ordering[f.other(u)] < ordering[first.other(u)])
first = f;
}
}
return first;
}
private void invertExistingDirectionalLabels(Graph g,
int prev,
BitSet visited,
Map replacement,
BitSet dbAtoms,
int u) {
visited.set(u);
final int d = g.degree(u);
for (int j = 0; j < d; ++j) {
final Edge e = g.edgeAt(u, j);
int v = e.other(u);
if (v == prev)
continue;
Edge f = replacement.get(e);
if (f == null) {
replacement.put(e, e.inverse());
if (!visited.get(v)) {
if (dbAtoms.get(v))
invertExistingDirectionalLabels(g, u, visited, replacement, dbAtoms, v);
}
}
}
}
private void markExistingDirectionalLabels(Graph g,
int prev,
BitSet visited,
Map replacement,
BitSet dbAtoms,
int u) {
visited.set(u);
final int d = g.degree(u);
for (int j = 0; j < d; ++j) {
final Edge e = g.edgeAt(u, j);
int v = e.other(u);
if (v == prev)
continue;
Edge f = replacement.get(e);
if (f == null) {
replacement.put(e, e);
if (!visited.get(v)) {
if (dbAtoms.get(v))
markExistingDirectionalLabels(g, u, visited, replacement, dbAtoms, v);
}
}
}
}
}
}