java-topology/tests/unit/Moad0007UnitTest.java

package unit;

import support.Moad0007Algorithm;
import support.Moad0007Algorithm.SpatialObject;
import support.Moad0007Algorithm.Result;

import java.util.List;

/**
 * Unit tests for MOAD-0007: CWE-407 — A Flatland Defect.
 *
 * Proves from first principles:
 *   1. Both defective and fixed produce identical query results (same hits).
 *   2. Defective: queryDefective() visits all N objects for every query —
 *      probeCount == N regardless of how many objects match.
 *   3. Fixed: queryFixed() visits O(log N + k) objects — probeCount grows as
 *      log₂(N) for empty queries and log₂(N)+k for queries returning k hits.
 *   4. Doubling N doubles defective probes; fixed probes grow only by 1 (log step).
 *   5. Empty-range query: defective still visits all N; fixed visits O(log N).
 *
 * No build tool required. Compile and run:
 *
 *   cd tests
 *   java -m jdk.compiler/com.sun.tools.javac.Main -cp . \
 *        support/Moad0007Algorithm.java unit/Moad0007UnitTest.java
 *   java -cp . unit.Moad0007UnitTest
 */
public class Moad0007UnitTest {

    private static int passed = 0;
    private static int failed = 0;

    public static void main(String[] args) {
        System.out.println("=== Moad0007UnitTest (A Flatland Defect) ===\n");

        System.out.println("-- Correctness: same query results from both implementations --");
        testSmallSceneAllMatch();
        testSmallScenePartialMatch();
        testSmallSceneNoMatch();

        System.out.println("\n-- Defect: linear scan visits all N objects (O(N) probes) --");
        testDefectiveProbesAllN100();
        testDefectiveProbesAllN200();
        testDefectiveEmptyQueryStillVisitsAllN();

        System.out.println("\n-- Fix: binary search visits O(log N + k) objects --");
        testFixedProbesLogN100();
        testFixedProbesLogN200();
        testFixedEmptyQueryVisitsLogN();

        System.out.println("\n-- Complexity: doubling N doubles defective probes, barely changes fixed --");
        testDoublingNEffect();

        System.out.printf("\n%d passed, %d failed%n", passed, failed);
        if (failed > 0) System.exit(1);
    }

    // ── Correctness ───────────────────────────────────────────────────────────

    static void testSmallSceneAllMatch() {
        List<SpatialObject> scene = Moad0007Algorithm.buildScene(10, 100.0);
        SpatialObject[] index = Moad0007Algorithm.buildIndex(scene);

        Result def = Moad0007Algorithm.queryDefective(scene, 0.0, 100.0);
        Result fix = Moad0007Algorithm.queryFixed(index, 0.0, 100.0);

        assertEqual("correctness: all-match hit counts equal", def.hits.size(), fix.hits.size());
        assertEqual("correctness: all-match returns 10 hits",  10, def.hits.size());
    }

    static void testSmallScenePartialMatch() {
        List<SpatialObject> scene = Moad0007Algorithm.buildScene(10, 100.0);
        SpatialObject[] index = Moad0007Algorithm.buildIndex(scene);

        // Middle third: positions [33, 66]
        Result def = Moad0007Algorithm.queryDefective(scene, 33.0, 66.0);
        Result fix = Moad0007Algorithm.queryFixed(index, 33.0, 66.0);

        assertEqual("correctness: partial-match hit counts equal", def.hits.size(), fix.hits.size());
        assertTrue("correctness: partial match returns some hits (>0, <10)",
            def.hits.size() > 0 && def.hits.size() < 10,
            "hits=" + def.hits.size());
    }

    static void testSmallSceneNoMatch() {
        List<SpatialObject> scene = Moad0007Algorithm.buildScene(10, 100.0);
        SpatialObject[] index = Moad0007Algorithm.buildIndex(scene);

        // Query outside the scene bounds
        Result def = Moad0007Algorithm.queryDefective(scene, 200.0, 300.0);
        Result fix = Moad0007Algorithm.queryFixed(index, 200.0, 300.0);

        assertEqual("correctness: no-match — both return 0 hits (defective)", 0, def.hits.size());
        assertEqual("correctness: no-match — both return 0 hits (fixed)",     0, fix.hits.size());
    }

    // ── Defect ────────────────────────────────────────────────────────────────

    static void testDefectiveProbesAllN100() {
        int N = 100;
        List<SpatialObject> scene = Moad0007Algorithm.buildScene(N, 1000.0);
        // Even a no-match query visits all N
        Result result = Moad0007Algorithm.queryDefective(scene, 2000.0, 3000.0);
        assertEqual("defective N=100: probes all 100 objects (even no-match)", N, result.probeCount);
    }

    static void testDefectiveProbesAllN200() {
        int N = 200;
        List<SpatialObject> scene = Moad0007Algorithm.buildScene(N, 1000.0);
        Result result = Moad0007Algorithm.queryDefective(scene, 2000.0, 3000.0);
        assertEqual("defective N=200: probes all 200 objects", N, result.probeCount);
    }

    static void testDefectiveEmptyQueryStillVisitsAllN() {
        int N = 150;
        List<SpatialObject> scene = Moad0007Algorithm.buildScene(N, 500.0);
        Result result = Moad0007Algorithm.queryDefective(scene, -100.0, -50.0); // no objects here
        assertEqual("defective: empty-range query still visits all N=" + N, N, result.probeCount);
    }

    // ── Fix ───────────────────────────────────────────────────────────────────

    static void testFixedProbesLogN100() {
        int N = 100;
        List<SpatialObject> scene = Moad0007Algorithm.buildScene(N, 1000.0);
        SpatialObject[] index = Moad0007Algorithm.buildIndex(scene);
        // No-match query: probes should be O(log N) = ~7 for N=100
        Result result = Moad0007Algorithm.queryFixed(index, 2000.0, 3000.0);
        // Binary search on 100 elements: at most ceil(log2(100)) = 7 steps, plus 1 for the exit check
        int expectedMax = (int)(Math.ceil(Math.log(N) / Math.log(2))) + 2;
        assertTrue("fixed N=100: no-match query probes <= " + expectedMax + " (log N)",
            result.probeCount <= expectedMax,
            "probeCount=" + result.probeCount);
        assertTrue("fixed N=100: probes much less than N",
            result.probeCount < N / 4,
            "probeCount=" + result.probeCount + " N=" + N);
    }

    static void testFixedProbesLogN200() {
        int N = 200;
        List<SpatialObject> scene = Moad0007Algorithm.buildScene(N, 1000.0);
        SpatialObject[] index = Moad0007Algorithm.buildIndex(scene);
        Result result = Moad0007Algorithm.queryFixed(index, 2000.0, 3000.0);
        int expectedMax = (int)(Math.ceil(Math.log(N) / Math.log(2))) + 2;
        assertTrue("fixed N=200: no-match query probes <= " + expectedMax,
            result.probeCount <= expectedMax,
            "probeCount=" + result.probeCount);
    }

    static void testFixedEmptyQueryVisitsLogN() {
        int N = 128; // power of 2 for clean log result
        List<SpatialObject> scene = Moad0007Algorithm.buildScene(N, 1000.0);
        SpatialObject[] index = Moad0007Algorithm.buildIndex(scene);
        Result result = Moad0007Algorithm.queryFixed(index, -100.0, -1.0); // below all objects
        // Binary search on 128 elements: 7 steps max (log2(128) = 7)
        assertTrue("fixed N=128: out-of-range query probes at most 9 (log N + overhead)",
            result.probeCount <= 9,
            "probeCount=" + result.probeCount);
    }

    // ── Complexity ────────────────────────────────────────────────────────────

    static void testDoublingNEffect() {
        // Defective: doubling N doubles probes
        int N1 = 100, N2 = 200;
        List<SpatialObject> s1 = Moad0007Algorithm.buildScene(N1, 1000.0);
        List<SpatialObject> s2 = Moad0007Algorithm.buildScene(N2, 1000.0);
        SpatialObject[] i1 = Moad0007Algorithm.buildIndex(s1);
        SpatialObject[] i2 = Moad0007Algorithm.buildIndex(s2);

        Result def1 = Moad0007Algorithm.queryDefective(s1, 2000.0, 3000.0);
        Result def2 = Moad0007Algorithm.queryDefective(s2, 2000.0, 3000.0);
        Result fix1 = Moad0007Algorithm.queryFixed(i1, 2000.0, 3000.0);
        Result fix2 = Moad0007Algorithm.queryFixed(i2, 2000.0, 3000.0);

        // Defective: probes double exactly with N
        assertEqual("defective: doubling N doubles probes (linear)", def1.probeCount * 2, def2.probeCount);

        // Fixed: doubling N adds at most 1 log step
        int fixDelta = fix2.probeCount - fix1.probeCount;
        assertTrue("fixed: doubling N adds at most 1 probe (log growth)",
            fixDelta <= 1,
            "fix1.probes=" + fix1.probeCount + " fix2.probes=" + fix2.probeCount + " delta=" + fixDelta);
    }

    // ── Helpers ───────────────────────────────────────────────────────────────

    static void assertEqual(String label, int expected, int actual) {
        if (expected == actual) {
            System.out.printf("  PASS: %s%n", label);
            passed++;
        } else {
            System.out.printf("  FAIL: %s — expected %d, got %d%n", label, expected, actual);
            failed++;
        }
    }

    static void assertTrue(String label, boolean condition, String detail) {
        if (condition) {
            System.out.printf("  PASS: %s%n", label);
            passed++;
        } else {
            System.out.printf("  FAIL: %s — %s%n", label, detail);
            failed++;
        }
    }
}