whitepaper: 366/178 — wave5 defect tables + PDF rebuild
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79 changed files with 3829 additions and 17 deletions
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@ -7,6 +7,7 @@ import java.util.*;
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*
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* mysql-0001: SHOW GRANTS USING roles — O(U*G) vector find vs O(U) hash lookup
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* mysql-0002: has_global_grant fallback — O(P) multimap equal_range+find vs O(1) map lookup
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* mysql-0003: setup_fields() iterator recovery — O(F²) std::find vs O(F) index loop
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*
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* No JUnit. Prints N/N PASS.
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*/
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@ -149,6 +150,55 @@ public class MysqlTest {
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return new long[]{ops};
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}
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// -----------------------------------------------------------------------
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// mysql-0003 — setup_fields iterator recovery: O(F²) std::find vs O(F) index loop
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//
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// Models sql/sql_base.cc:~9496
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// for (auto it = fields->begin(); it != fields->end(); ++it) {
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// ...split_sum_func may append items to fields...
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// if (old_size != fields->size()) {
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// it = std::find(fields->begin(), fields->end(), item); // O(F)
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// }
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// }
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//
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// Worst case: every item triggers split_sum_func → O(F) recovery per item → O(F²)
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// Fix: use index-based loop; index is stable under append-only growth → O(F) total
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// -----------------------------------------------------------------------
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static long setupFieldsSlow(int F) {
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List<Integer> fields = new ArrayList<>(F * 2);
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for (int i = 0; i < F; i++) fields.add(i);
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long ops = 0;
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int limit = F; // process original F items
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for (int i = 0; i < limit; i++) {
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Integer item = fields.get(i);
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// split_sum_func: append one new item
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fields.add(-(i + 1));
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// O(|fields|) std::find to re-discover current item's position
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for (int j = 0; j < fields.size(); j++) {
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ops++;
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if (fields.get(j).equals(item)) break;
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}
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}
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return ops;
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}
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static long setupFieldsFast(int F) {
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List<Integer> fields = new ArrayList<>(F * 2);
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for (int i = 0; i < F; i++) fields.add(i);
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long ops = 0;
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// Index-based loop: no re-scan needed after append
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for (int idx = 0; idx < F; idx++) {
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ops++; // direct indexed access — O(1)
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// split_sum_func appends but doesn't affect idx
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fields.add(-(idx + 1));
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}
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return ops;
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}
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// -----------------------------------------------------------------------
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// Main
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// -----------------------------------------------------------------------
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@ -200,6 +250,28 @@ public class MysqlTest {
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if (!pass) { System.out.println(" FAIL: expected slowOps > fastOps * 10"); failures++; }
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}
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// --- mysql-0003: setup_fields iterator recovery ---
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{
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int F = 500;
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long[] slowOps = new long[1], fastOps = new long[1];
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Runnable slow = () -> slowOps[0] = setupFieldsSlow(F);
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Runnable fast = () -> fastOps[0] = setupFieldsFast(F);
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slow.run(); fast.run();
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long t0 = System.nanoTime(); slow.run(); long sMs = (System.nanoTime() - t0) / 1_000_000;
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long t1 = System.nanoTime(); fast.run(); long fMs = (System.nanoTime() - t1) / 1_000_000;
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double speedup = fastOps[0] > 0 ? (double) slowOps[0] / fastOps[0] : 0;
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System.out.printf(" %-60s slow:%4dms (%,d ops) fast:%4dms (%,d ops) speedup:%.1fx%n",
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"mysql-0003 setup_fields O(F²) std::find vs O(F) index", sMs, slowOps[0], fMs, fastOps[0], speedup);
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total++;
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// slow: each of F items triggers O(F+i) scan → sum ~ F²/2; fast: F ops
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// At F=500: slow~125000+ ops, fast=500 ops → ratio >>10x
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boolean pass = slowOps[0] > fastOps[0] * 10L;
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if (!pass) { System.out.printf(" FAIL mysql-0003: slowOps=%,d fastOps=%,d (expected >10x)%n", slowOps[0], fastOps[0]); failures++; }
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}
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System.out.println("=".repeat(100));
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System.out.printf("%d/%d %s%n", total - failures, total, failures == 0 ? "PASS" : "FAIL");
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if (failures > 0) System.exit(1);
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