[KYUUBI #4364] Add metrics for user opened connections with session type

### _Why are the changes needed?_

Add metrics for user opened connections with session type

### _How was this patch tested?_
- [ ] Add some test cases that check the changes thoroughly including negative and positive cases if possible

- [ ] Add screenshots for manual tests if appropriate

- [x] [Run test](https://kyuubi.readthedocs.io/en/master/develop_tools/testing.html#running-tests) locally before make a pull request

Closes #4364 from turboFei/user_session_type.

Closes #4364

d9505f2 [fwang12] get

Authored-by: fwang12 <fwang12@ebay.com>
Signed-off-by: fwang12 <fwang12@ebay.com>

docs/monitor/metrics.md

@@ -49,6 +49,7 @@ These metrics include:
 | `kyuubi.connection.total`                        | `${sessionType}`                       | counter   | 1.7.0 | <div style='width: 150pt;word-wrap: break-word;white-space: normal'> cumulative connection count with session type `${sessionType}`</div>                                                                                                                                                  |
 | `kyuubi.connection.opened`                       |                                        | gauge     | 1.2.0 | <div style='width: 150pt;word-wrap: break-word;white-space: normal'> current active connection count</div>                                                                                                                                                                                 |
 | `kyuubi.connection.opened`                       | `${user}`                              | counter   | 1.2.0 | <div style='width: 150pt;word-wrap: break-word;white-space: normal'> current active connections count requested by a `${user}`</div>                                                                                                                                                       |
+| `kyuubi.connection.opened`                       | `${user}`</br>`${sessionType}`         | counter   | 1.7.0 | <div style='width: 150pt;word-wrap: break-word;white-space: normal'> current active connections count requested by a `${user}` with session type `${sessionType}`</div>                                                                                                                    |
 | `kyuubi.connection.opened`                       | `${sessionType}`                       | counter   | 1.7.0 | <div style='width: 150pt;word-wrap: break-word;white-space: normal'> current active connections count with session type `${sessionType}`</div>                                                                                                                                             |
 | `kyuubi.connection.failed`                       |                                        | counter   | 1.2.0 | <div style='width: 150pt;word-wrap: break-word;white-space: normal'>  cumulative failed connection count</div>                                                                                                                                                                             |
 | `kyuubi.connection.failed`                       | `${user}`                              | counter   | 1.2.0 | <div style='width: 150pt;word-wrap: break-word;white-space: normal'> cumulative failed connections for a `${user}`</div>                                                                                                                                                                   |

kyuubi-server/src/main/scala/org/apache/kyuubi/session/KyuubiSession.scala

@@ -58,11 +58,13 @@ abstract class KyuubiSession(
     ms.incCount(CONN_TOTAL)
     ms.incCount(MetricRegistry.name(CONN_TOTAL, sessionType.toString))
     ms.incCount(MetricRegistry.name(CONN_OPEN, user))
+    ms.incCount(MetricRegistry.name(CONN_OPEN, user, sessionType.toString))
     ms.incCount(MetricRegistry.name(CONN_OPEN, sessionType.toString))
   }
 
   protected def traceMetricsOnClose(): Unit = MetricsSystem.tracing { ms =>
     ms.decCount(MetricRegistry.name(CONN_OPEN, user))
+    ms.decCount(MetricRegistry.name(CONN_OPEN, user, sessionType.toString))
     ms.decCount(MetricRegistry.name(CONN_OPEN, sessionType.toString))
   }
 }