simplex-chat-0004: introduceToRemaining notElem O(N×M) member dedup; fix: Set.notMember O(log N)
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defects/scipy/unit/ScipyTest.java
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127
defects/scipy/unit/ScipyTest.java
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package unit;
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import java.util.*;
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/**
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* ScipyTest — CWE-407 benchmark for scipy-0001
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*
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* scipy-0001: SHGO.minimizers() — xl_maps list scan ignores xl_maps_set O(V×L)
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* Real code (scipy/optimize/_shgo.py:1155-1174):
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* for x in self.HC.V.cache: # V vertices
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* for xlmi in self.LMC.xl_maps: # O(L) list scan
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* if np.all(np.array(x) == np.array(xlmi)):
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* in_LMC = True
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*
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* xl_maps_set = set() is maintained by LMapCache.add_res() but never used here.
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*
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* Fix: replace list scan with xl_maps_set.contains(tuple(x)) — O(1).
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*/
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public class ScipyTest {
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/**
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* Simulates SHGO.minimizers() with xl_maps list scan.
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* @param V vertices in HC.V.cache
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* @param L local minima already in LMC (xl_maps length)
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* @param I optimizer iterations
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* @return total comparisons
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*/
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static long slowShgoMinimizers(int V, int L, int I) {
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// Build xl_maps as list of "tuples" (represented as Strings here)
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List<String> xlMaps = new ArrayList<>();
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for (int i = 0; i < L; i++) xlMaps.add("min_" + i);
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long ops = 0;
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for (int iter = 0; iter < I; iter++) {
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List<Object> minimizerPool = new ArrayList<>();
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for (int v = 0; v < V; v++) {
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String x = "vertex_" + v;
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boolean inLMC = false;
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// DEFECT: O(L) scan
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for (int k = 0; k < xlMaps.size(); k++) {
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ops++;
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if (xlMaps.get(k).startsWith("min_" + (v % L))) {
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inLMC = true;
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break;
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}
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}
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if (inLMC) continue;
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// if minimiser(): check not in pool (also a list)
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boolean isMin = (v % 7 == 0); // ~14% of vertices are local minima
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if (isMin) {
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boolean inPool = false;
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for (int k = 0; k < minimizerPool.size(); k++) {
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ops++;
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if (minimizerPool.get(k).equals(x)) { inPool = true; break; }
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}
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if (!inPool) minimizerPool.add(x);
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}
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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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* Simulates fixed SHGO.minimizers() using xl_maps_set.
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* @return total ops
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*/
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static long fastShgoMinimizers(int V, int L, int I) {
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Set<String> xlMapsSet = new HashSet<>();
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for (int i = 0; i < L; i++) xlMapsSet.add("min_" + i);
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long ops = 0;
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for (int iter = 0; iter < I; iter++) {
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List<Object> minimizerPool = new ArrayList<>();
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for (int v = 0; v < V; v++) {
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String x = "vertex_" + v;
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ops++; // O(1) set probe
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if (xlMapsSet.contains("min_" + (v % L))) continue;
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boolean isMin = (v % 7 == 0);
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if (isMin) minimizerPool.add(x); // no dedup needed (unique keys)
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}
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}
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return ops;
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}
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static void bench(String label, Runnable slow, Runnable fast, long sOps, long fOps) {
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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 = fMs > 0 ? (double) sMs / fMs : (double) sOps / fOps;
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System.out.printf(" %-60s slow:%4dms (%,d ops) fast:%4dms (%,d ops) speedup:%.0fx%n",
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label, sMs, sOps, fMs, fOps, speedup);
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}
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public static void main(String[] args) {
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System.out.println("ScipyTest — scipy-0001: SHGO.minimizers() xl_maps list scan vs xl_maps_set");
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System.out.println();
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System.out.println(" [scipy-0001: SHGO minimizers() LMC lookup]");
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int[][] cases = {{500, 100, 10}, {1000, 300, 20}, {2000, 500, 30}};
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for (int[] c : cases) {
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int V = c[0], L = c[1], I = c[2];
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long sOps = slowShgoMinimizers(V, L, I);
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long fOps = fastShgoMinimizers(V, L, I);
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bench(
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String.format("V=%d vertices, L=%d local-minima, I=%d iters", V, L, I),
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() -> slowShgoMinimizers(V, L, I),
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() -> fastShgoMinimizers(V, L, I),
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sOps, fOps
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);
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}
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System.out.println();
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int pass = 0;
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long s = slowShgoMinimizers(1000, 300, 20);
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long f = fastShgoMinimizers(1000, 300, 20);
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assert s > f * 50 : "scipy-0001 expected >50x ratio; slow=" + s + " fast=" + f;
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pass++;
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System.out.printf("%d/1 PASS%n", pass);
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System.out.printf("scipy-0001: _shgo.SHGO.minimizers() xl_maps list → xl_maps_set O(V×L) → O(V)%n");
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System.out.printf("Hotpath: every SHGO optimizer iteration; O(N²) per run on large sample sets%n");
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}
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}
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