Fix ordered intervals query over interleaved terms (#12214)

Given an input text 'A B A C A B C' and search ORDERED(A, B, C), we should 
retrieve hits [0,3] and [4,6]; currently [4,6] is skipped.

After finding the first interval [0, 3], the subintervals will become A[0,0], B[1,1], 
C[3,3]; then the algorithm will try to minimize it and the subintervals will 
become: A:[2,2], B:[5,5], C:[3,3] (after finding 5 > 3 it breaks the minimization)

And when finding next interval, it will do advance(B) before checking whether 
it is after A(the do-while loop), so subintervals will become A[2,2], B[inf, inf], 
C[3,3] and return NO_MORE_INTERVAL.

This commit instead continues advancing subintervals from where the last
`nextInterval` call stopped, rather than always advancing all subintervals.

lucene/CHANGES.txt

@@ -78,6 +78,8 @@ Bug Fixes
 
 * GITHUB#12202: Fix MultiFieldQueryParser to apply boosts to regexp, wildcard, prefix, range, fuzzy queries.  (Jasir KT)
 
+* GITHUB#12214: Fix ordered intervals query to avoid skipping some of the results over interleaved terms. (Hongyu Yan)
+
 Build
 ---------------------
 

lucene/queries/src/java/org/apache/lucene/queries/intervals/OrderedIntervalsSource.java

@@ -112,7 +112,7 @@ public String toString() {
 
   private static class OrderedIntervalIterator extends ConjunctionIntervalIterator {
 
-    int start = -1, end = -1, i;
+    int start = -1, end = -1, i = 1;
     int slop;
     final MatchCallback onMatch;
 
@@ -136,7 +136,6 @@ public int nextInterval() throws IOException {
       start = end = slop = IntervalIterator.NO_MORE_INTERVALS;
       int lastStart = Integer.MAX_VALUE;
       boolean minimizing = false;
-      i = 1;
       while (true) {
         while (true) {
           if (subIterators.get(i - 1).end() >= lastStart) {

lucene/queries/src/test/org/apache/lucene/queries/intervals/TestIntervalQuery.java

@@ -84,7 +84,8 @@ public void tearDown() throws Exception {
     "greater new york",
     "x x x x x intend x x x message x x x message x x x addressed x x",
     "issue with intervals queries from search engine. So it's a big issue for us as we need to do ordered searches. Thank you to help us concerning that issue",
-    "場外好朋友"
+    "場外好朋友",
+    "alice bob alice alice carl alice bob alice carl"
   };
 
   private void checkHits(Query query, int[] results) throws IOException {
@@ -348,6 +349,17 @@ public void testOrderedWithGaps() throws IOException {
     checkHits(q, new int[] {});
   }
 
+  public void testOrderedWithGaps2() throws IOException {
+    Query q =
+        new IntervalQuery(
+            field,
+            Intervals.maxgaps(
+                1,
+                Intervals.ordered(
+                    Intervals.term("alice"), Intervals.term("bob"), Intervals.term("carl"))));
+    checkHits(q, new int[] {12});
+  }
+
   public void testNestedOrInContainedBy() throws IOException {
     Query q =
         new IntervalQuery(