whitepaper: 352/169 — wave4 MEDIUM (hadoop/hbase/nova/neutron/openstack) + fix odl-0002 dup
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178
defects/mesa/unit/MesaParallelCopyAlgorithm.java
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178
defects/mesa/unit/MesaParallelCopyAlgorithm.java
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package unit;
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import java.util.ArrayList;
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import java.util.HashMap;
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import java.util.Iterator;
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import java.util.List;
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import java.util.Map;
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/**
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* MESA-0001: O(n²) ACO register allocation — update_renames parallel-copy linear scan.
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*
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* Models aco_register_allocation.cpp update_renames():
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* Slow: std::find_if over parallelcopies for each entry (O(n) inner search).
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* Fast: unordered_map tempId→index built once, O(1) lookup per entry.
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*
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* A ParallelCopy has: opTempId (source), defTempId (destination, may be -1 if not a temp).
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*/
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public class MesaParallelCopyAlgorithm {
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static class ParallelCopy {
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int opTempId; // source temporary ID
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int defTempId; // destination temp ID (-1 = not a temp)
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ParallelCopy(int opTempId, int defTempId) {
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this.opTempId = opTempId;
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this.defTempId = defTempId;
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}
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boolean defIsTemp() { return defTempId >= 0; }
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@Override public String toString() {
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return "Copy(op=" + opTempId + ",def=" + (defIsTemp() ? defTempId : "X") + ")";
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}
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}
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// ---------------------------------------------------------------
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// SLOW: std::find_if scan (original aco_register_allocation.cpp)
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// ---------------------------------------------------------------
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static long updateRenamesSlow(List<ParallelCopy> copies) {
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long ops = 0;
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int idx = 0;
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while (idx < copies.size()) {
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ParallelCopy it = copies.get(idx);
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if (it.defIsTemp()) {
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idx++;
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continue;
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}
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// std::find_if — O(n) scan for matching def
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int otherIdx = -1;
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for (int j = 0; j < copies.size(); j++) { // inner O(n) scan
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ops++;
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ParallelCopy c = copies.get(j);
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if (c.defIsTemp() && it.opTempId == c.defTempId) {
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otherIdx = j;
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break;
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}
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}
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if (otherIdx >= 0) {
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// simulate: update op, then erase the other entry
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copies.remove(otherIdx);
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if (otherIdx < idx) idx--;
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// don't advance idx — re-check current position
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} else {
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idx++;
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}
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}
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return ops;
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}
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// ---------------------------------------------------------------
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// FAST: map-based O(1) lookup (patched version)
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// ---------------------------------------------------------------
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static long updateRenamesFast(List<ParallelCopy> copies) {
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long ops = 0;
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// Build tempId → index map once
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Map<Integer, Integer> defTempIdx = new HashMap<>();
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for (int i = 0; i < copies.size(); i++) {
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if (copies.get(i).defIsTemp())
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defTempIdx.put(copies.get(i).defTempId, i);
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}
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int idx = 0;
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while (idx < copies.size()) {
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ParallelCopy it = copies.get(idx);
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if (it.defIsTemp()) {
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idx++;
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continue;
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}
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ops++; // one O(1) map lookup
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Integer otherIdx = defTempIdx.get(it.opTempId);
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if (otherIdx != null && otherIdx < copies.size()
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&& copies.get(otherIdx).defTempId == it.opTempId) {
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// Remove other entry, update map
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defTempIdx.remove(copies.get(otherIdx).defTempId);
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copies.remove((int) otherIdx);
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if (otherIdx < idx) idx--;
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// Rebuild shifted entries in map (entries after otherIdx shifted by -1)
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for (int i = otherIdx; i < copies.size(); i++) {
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if (copies.get(i).defIsTemp())
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defTempIdx.put(copies.get(i).defTempId, i);
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}
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} else {
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idx++;
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}
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}
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return ops;
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}
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// ---------------------------------------------------------------
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// Test helpers
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// ---------------------------------------------------------------
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/** Build N parallel copies: ops 0..N-1, defs N..2N-1 (all temp). */
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static List<ParallelCopy> buildCopies(int n) {
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List<ParallelCopy> list = new ArrayList<>();
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// Half: non-temp defs that reference previous defs (create find_if work)
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for (int i = 0; i < n / 2; i++) {
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list.add(new ParallelCopy(n + i, -1)); // non-temp def, op = some temp
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}
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// Half: temp defs (sources for the find_if lookups)
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for (int i = 0; i < n / 2; i++) {
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// defTempId = n+i so the non-temp copies above can find them
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list.add(new ParallelCopy(i, n + i));
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}
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return list;
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}
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static void testN(int n) {
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List<ParallelCopy> slowCopies = buildCopies(n);
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List<ParallelCopy> fastCopies = buildCopies(n);
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long slowOps = updateRenamesSlow(slowCopies);
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long fastOps = updateRenamesFast(fastCopies);
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int halfN = n / 2;
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// Slow: each non-temp entry scans half the list on average → O(n²/4)
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long slowMin = (long) halfN * halfN / 4;
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boolean slowBad = n < 8 || slowOps >= slowMin;
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boolean fastGood = fastOps <= (long) n + 2;
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boolean speedup = slowOps >= fastOps;
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assert slowBad : "slow not O(n²): ops=" + slowOps + " min=" + slowMin;
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assert fastGood : "fast not O(n): ops=" + fastOps + " n=" + n;
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assert speedup : "fast not faster: slow=" + slowOps + " fast=" + fastOps;
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System.out.printf(" %-30s N=%-4d slow=%6d fast=%4d speedup=%.0fx%n",
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"parallelCopyRename N=" + n, n, slowOps, fastOps,
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(double) slowOps / Math.max(fastOps, 1));
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}
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public static void main(String[] args) {
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int passed = 0;
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int total = 0;
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int[] sizes = {8, 16, 32, 64, 128, 256};
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for (int n : sizes) {
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total++;
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testN(n);
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passed++;
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}
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// Verify semantics: both paths should produce identical final lists
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total++;
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{
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int n = 20;
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List<ParallelCopy> slowList = buildCopies(n);
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List<ParallelCopy> fastList = buildCopies(n);
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updateRenamesSlow(slowList);
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updateRenamesFast(fastList);
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assert slowList.size() == fastList.size() :
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"final list sizes differ: slow=" + slowList.size() + " fast=" + fastList.size();
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System.out.printf(" %-30s final sizes match: %d%n", "semantics check", slowList.size());
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passed++;
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}
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System.out.printf("%n%d/%d PASS%n", passed, total);
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}
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}
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