Remove bound on SEARCH_COORDINATION default size

docs/reference/modules/threadpool.asciidoc

@@ -23,8 +23,8 @@ There are several thread pools, but the important ones include:
 
 `search_coordination`::
     For lightweight search-related coordination operations. Thread pool type is
-    `fixed` with a size of a max of `min(5, (`<<node.processors,
-`# of allocated processors`>>`) / 2)`, and queue_size of `1000`.
+    `fixed` with a size of `(`<<node.processors, `# of allocated processors`>>`) / 2`,
+    and queue_size of `1000`.
 
 `get`::
     For get operations. Thread pool type is

server/src/main/java/org/elasticsearch/threadpool/ThreadPool.java

@@ -182,9 +182,11 @@ public ThreadPool(final Settings settings, final ExecutorBuilder<?>... customBui
 
         final Map<String, ExecutorBuilder> builders = new HashMap<>();
         final int allocatedProcessors = EsExecutors.allocatedProcessors(settings);
+        final int halfProc = halfAllocatedProcessors(allocatedProcessors);
         final int halfProcMaxAt5 = halfAllocatedProcessorsMaxFive(allocatedProcessors);
         final int halfProcMaxAt10 = halfAllocatedProcessorsMaxTen(allocatedProcessors);
         final int genericThreadPoolMax = boundedBy(4 * allocatedProcessors, 128, 512);
+
         builders.put(
             Names.GENERIC,
             new ScalingExecutorBuilder(Names.GENERIC, 4, genericThreadPoolMax, TimeValue.timeValueSeconds(30), false)
@@ -216,7 +218,7 @@ public ThreadPool(final Settings settings, final ExecutorBuilder<?>... customBui
         );
         builders.put(
             Names.SEARCH_COORDINATION,
-            new FixedExecutorBuilder(settings, Names.SEARCH_COORDINATION, halfProcMaxAt5, 1000, TaskTrackingConfig.DEFAULT)
+            new FixedExecutorBuilder(settings, Names.SEARCH_COORDINATION, halfProc, 1000, TaskTrackingConfig.DEFAULT)
         );
         builders.put(
             Names.AUTO_COMPLETE,
@@ -588,15 +590,20 @@ public ScheduledExecutorService scheduler() {
      * than value, otherwise value
      */
     static int boundedBy(int value, int min, int max) {
+        assert min < max : min + " vs " + max;
         return Math.min(max, Math.max(min, value));
     }
 
+    static int halfAllocatedProcessors(final int allocatedProcessors) {
+        return (allocatedProcessors + 1) / 2;
+    }
+
     static int halfAllocatedProcessorsMaxFive(final int allocatedProcessors) {
-        return boundedBy((allocatedProcessors + 1) / 2, 1, 5);
+        return boundedBy(halfAllocatedProcessors(allocatedProcessors), 1, 5);
     }
 
     static int halfAllocatedProcessorsMaxTen(final int allocatedProcessors) {
-        return boundedBy((allocatedProcessors + 1) / 2, 1, 10);
+        return boundedBy(halfAllocatedProcessors(allocatedProcessors), 1, 10);
     }
 
     static int twiceAllocatedProcessors(final int allocatedProcessors) {

server/src/test/java/org/elasticsearch/threadpool/ThreadPoolTests.java

@@ -334,6 +334,26 @@ public void testForceMergeThreadPoolSize() {
         }
     }
 
+    public void testSearchCoordinationThreadPoolSize() {
+        final int expectedSize = randomIntBetween(1, EsExecutors.allocatedProcessors(Settings.EMPTY) / 2);
+        final int allocatedProcessors = Math.min(
+            EsExecutors.allocatedProcessors(Settings.EMPTY),
+            expectedSize * 2 - (randomIntBetween(0, 1))
+        );
+        final ThreadPool threadPool = new TestThreadPool(
+            "test",
+            Settings.builder().put(EsExecutors.NODE_PROCESSORS_SETTING.getKey(), allocatedProcessors).build()
+        );
+        try {
+            ThreadPool.Info info = threadPool.info(ThreadPool.Names.SEARCH_COORDINATION);
+            assertThat(info.getThreadPoolType(), equalTo(ThreadPool.ThreadPoolType.FIXED));
+            assertThat(info.getMin(), equalTo(expectedSize));
+            assertThat(info.getMax(), equalTo(expectedSize));
+        } finally {
+            assertTrue(terminate(threadPool));
+        }
+    }
+
     public void testGetMaxSnapshotCores() {
         int allocatedProcessors = randomIntBetween(1, 16);
         assertThat(