[GitHub] [iotdb] ericpai commented on a change in pull request #4835: [IOTDB-2303]Library dmatch

[GitBox <gi...@apache.org>]

ericpai commented on a change in pull request #4835:
URL: https://github.com/apache/iotdb/pull/4835#discussion_r794979939



##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);

Review comment:
       As we have discussed previously, please check the equalivent between expected and acutal data returned, not only row counts.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";

Review comment:
       As we have discussed previously, please check the equalivent between expected and acutal data returned, not only row counts.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw1() {
+    String sqlStr = "select dtw(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw2() {
+    String sqlStr = "select dtw(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw3() {
+    String sqlStr = "select dtw(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw4() {
+    String sqlStr = "select dtw(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson1() {
+    String sqlStr = "select pearson(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;

Review comment:
       Please use `Assert.assertEqual()` instead of `assert` keyword.
   Is this result not deterministic? If the result is consistent of in every test running, please check the equalivent instead of a range condition check.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw1() {
+    String sqlStr = "select dtw(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw2() {
+    String sqlStr = "select dtw(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw3() {
+    String sqlStr = "select dtw(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw4() {
+    String sqlStr = "select dtw(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson1() {
+    String sqlStr = "select pearson(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson2() {
+    String sqlStr = "select pearson(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson3() {
+    String sqlStr = "select pearson(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson4() {
+    String sqlStr = "select pearson(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;

Review comment:
       Please use `Assert.assertEqual()` instead of `assert` keyword.
   Is this result not deterministic? If the result is consistent of in every test running, please check the equalivent instead of a range condition check.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw1() {
+    String sqlStr = "select dtw(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw2() {
+    String sqlStr = "select dtw(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw3() {
+    String sqlStr = "select dtw(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw4() {
+    String sqlStr = "select dtw(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson1() {
+    String sqlStr = "select pearson(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson2() {
+    String sqlStr = "select pearson(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson3() {
+    String sqlStr = "select pearson(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson4() {
+    String sqlStr = "select pearson(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPthSym1() {
+    String sqlStr = "select ptnsym(d1.s1, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym2() {
+    String sqlStr = "select ptnsym(d1.s2, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym3() {
+    String sqlStr = "select ptnsym(d2.s1, 'window'='3', 'threshold'='0') from";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym4() {
+    String sqlStr = "select ptnsym(d2.s2, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testXCorr1() {
+    String sqlStr = "select xcorr(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 19);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testXCorr2() {
+    String sqlStr = "select xcorr(d1.s2, d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 19);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testXCorr3() {
+    String sqlStr = "select xcorr(d2.s1, d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 19);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testXCorr4() {
+    String sqlStr = "select xcorr(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 19);

Review comment:
       As we have discussed previously, please check the equalivent between expected and acutal data returned, not only row counts.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw1() {
+    String sqlStr = "select dtw(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;

Review comment:
       Please use `Assert.assertEqual()` instead of `assert` keyword.
   Is this result not deterministic? If the result is consistent of in every test running, please check the equalivent instead of a range condition check.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);

Review comment:
       As we have discussed previously, please check the equalivent between expected and acutal data returned, not only row counts.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();

Review comment:
       As we have discussed previously, please check the equalivent between expected and acutal data returned, not only row counts.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw1() {
+    String sqlStr = "select dtw(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw2() {
+    String sqlStr = "select dtw(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw3() {
+    String sqlStr = "select dtw(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw4() {
+    String sqlStr = "select dtw(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;

Review comment:
       Please use `Assert.assertEqual()` instead of `assert` keyword.
   Is this result not deterministic? If the result is consistent of in every test running, please check the equalivent instead of a range condition check.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw1() {
+    String sqlStr = "select dtw(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw2() {
+    String sqlStr = "select dtw(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw3() {
+    String sqlStr = "select dtw(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw4() {
+    String sqlStr = "select dtw(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson1() {
+    String sqlStr = "select pearson(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson2() {
+    String sqlStr = "select pearson(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson3() {
+    String sqlStr = "select pearson(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;

Review comment:
       Please use `Assert.assertEqual()` instead of `assert` keyword.
   Is this result not deterministic? If the result is consistent of in every test running, please check the equalivent instead of a range condition check.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw1() {
+    String sqlStr = "select dtw(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw2() {
+    String sqlStr = "select dtw(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw3() {
+    String sqlStr = "select dtw(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;

Review comment:
       Please use `Assert.assertEqual()` instead of `assert` keyword.
   Is this result not deterministic? If the result is consistent of in every test running, please check the equalivent instead of a range condition check.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw1() {
+    String sqlStr = "select dtw(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw2() {
+    String sqlStr = "select dtw(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw3() {
+    String sqlStr = "select dtw(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw4() {
+    String sqlStr = "select dtw(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson1() {
+    String sqlStr = "select pearson(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson2() {
+    String sqlStr = "select pearson(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;

Review comment:
       Please use `Assert.assertEqual()` instead of `assert` keyword.
   Is this result not deterministic? If the result is consistent of in every test running, please check the equalivent instead of a range condition check.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw1() {
+    String sqlStr = "select dtw(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw2() {
+    String sqlStr = "select dtw(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;

Review comment:
       Please use `Assert.assertEqual()` instead of `assert` keyword.
   Is this result not deterministic? If the result is consistent of in every test running, please check the equalivent instead of a range condition check.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw1() {
+    String sqlStr = "select dtw(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw2() {
+    String sqlStr = "select dtw(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw3() {
+    String sqlStr = "select dtw(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw4() {
+    String sqlStr = "select dtw(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson1() {
+    String sqlStr = "select pearson(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson2() {
+    String sqlStr = "select pearson(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson3() {
+    String sqlStr = "select pearson(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson4() {
+    String sqlStr = "select pearson(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPthSym1() {
+    String sqlStr = "select ptnsym(d1.s1, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym2() {
+    String sqlStr = "select ptnsym(d1.s2, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym3() {
+    String sqlStr = "select ptnsym(d2.s1, 'window'='3', 'threshold'='0') from";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym4() {
+    String sqlStr = "select ptnsym(d2.s2, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testXCorr1() {
+    String sqlStr = "select xcorr(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 19);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testXCorr2() {
+    String sqlStr = "select xcorr(d1.s2, d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 19);

Review comment:
       As we have discussed previously, please check the equalivent between expected and acutal data returned, not only row counts.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw1() {
+    String sqlStr = "select dtw(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw2() {
+    String sqlStr = "select dtw(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw3() {
+    String sqlStr = "select dtw(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw4() {
+    String sqlStr = "select dtw(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson1() {
+    String sqlStr = "select pearson(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson2() {
+    String sqlStr = "select pearson(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson3() {
+    String sqlStr = "select pearson(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson4() {
+    String sqlStr = "select pearson(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPthSym1() {
+    String sqlStr = "select ptnsym(d1.s1, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym2() {
+    String sqlStr = "select ptnsym(d1.s2, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym3() {
+    String sqlStr = "select ptnsym(d2.s1, 'window'='3', 'threshold'='0') from";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym4() {
+    String sqlStr = "select ptnsym(d2.s2, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);

Review comment:
       As we have discussed previously, please check the equalivent between expected and acutal data returned, not only row counts.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw1() {
+    String sqlStr = "select dtw(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw2() {
+    String sqlStr = "select dtw(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw3() {
+    String sqlStr = "select dtw(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw4() {
+    String sqlStr = "select dtw(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson1() {
+    String sqlStr = "select pearson(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson2() {
+    String sqlStr = "select pearson(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson3() {
+    String sqlStr = "select pearson(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson4() {
+    String sqlStr = "select pearson(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPthSym1() {
+    String sqlStr = "select ptnsym(d1.s1, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym2() {
+    String sqlStr = "select ptnsym(d1.s2, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);

Review comment:
       As we have discussed previously, please check the equalivent between expected and acutal data returned, not only row counts.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw1() {
+    String sqlStr = "select dtw(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw2() {
+    String sqlStr = "select dtw(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw3() {
+    String sqlStr = "select dtw(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw4() {
+    String sqlStr = "select dtw(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson1() {
+    String sqlStr = "select pearson(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson2() {
+    String sqlStr = "select pearson(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson3() {
+    String sqlStr = "select pearson(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson4() {
+    String sqlStr = "select pearson(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPthSym1() {
+    String sqlStr = "select ptnsym(d1.s1, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);

Review comment:
       As we have discussed previously, please check the equalivent between expected and acutal data returned, not only row counts.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw1() {
+    String sqlStr = "select dtw(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw2() {
+    String sqlStr = "select dtw(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw3() {
+    String sqlStr = "select dtw(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw4() {
+    String sqlStr = "select dtw(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson1() {
+    String sqlStr = "select pearson(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson2() {
+    String sqlStr = "select pearson(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson3() {
+    String sqlStr = "select pearson(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson4() {
+    String sqlStr = "select pearson(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPthSym1() {
+    String sqlStr = "select ptnsym(d1.s1, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym2() {
+    String sqlStr = "select ptnsym(d1.s2, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym3() {
+    String sqlStr = "select ptnsym(d2.s1, 'window'='3', 'threshold'='0') from";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym4() {
+    String sqlStr = "select ptnsym(d2.s2, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testXCorr1() {
+    String sqlStr = "select xcorr(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 19);

Review comment:
       As we have discussed previously, please check the equalivent between expected and acutal data returned, not only row counts.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw1() {
+    String sqlStr = "select dtw(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw2() {
+    String sqlStr = "select dtw(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw3() {
+    String sqlStr = "select dtw(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw4() {
+    String sqlStr = "select dtw(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson1() {
+    String sqlStr = "select pearson(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson2() {
+    String sqlStr = "select pearson(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson3() {
+    String sqlStr = "select pearson(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson4() {
+    String sqlStr = "select pearson(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPthSym1() {
+    String sqlStr = "select ptnsym(d1.s1, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym2() {
+    String sqlStr = "select ptnsym(d1.s2, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym3() {
+    String sqlStr = "select ptnsym(d2.s1, 'window'='3', 'threshold'='0') from";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);

Review comment:
       As we have discussed previously, please check the equalivent between expected and acutal data returned, not only row counts.

##########
File path: library-udf/src/test/java/org/apache/iotdb/library/dmatch/DMatchTests.java
##########
@@ -0,0 +1,547 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.iotdb.library.dmatch;
+
+import org.apache.iotdb.db.exception.metadata.MetadataException;
+import org.apache.iotdb.db.metadata.path.PartialPath;
+import org.apache.iotdb.db.service.IoTDB;
+import org.apache.iotdb.integration.env.ConfigFactory;
+import org.apache.iotdb.integration.env.EnvFactory;
+import org.apache.iotdb.jdbc.Config;
+import org.apache.iotdb.tsfile.file.metadata.enums.CompressionType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSDataType;
+import org.apache.iotdb.tsfile.file.metadata.enums.TSEncoding;
+
+import org.junit.AfterClass;
+import org.junit.Assert;
+import org.junit.BeforeClass;
+import org.junit.Test;
+
+import java.sql.Connection;
+import java.sql.DriverManager;
+import java.sql.ResultSet;
+import java.sql.SQLException;
+import java.sql.Statement;
+
+import static org.junit.Assert.fail;
+
+public class DMatchTests {
+  @BeforeClass
+  public static void setUp() throws Exception {
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(5)
+        .setUdfTransformerMemoryBudgetInMB(5)
+        .setUdfReaderMemoryBudgetInMB(5);
+    EnvFactory.getEnv().initBeforeClass();
+    createTimeSeries();
+    generateData();
+    registerUDF();
+  }
+
+  private static void createTimeSeries() throws MetadataException {
+    IoTDB.metaManager.setStorageGroup(new PartialPath("root.vehicle"));
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s1"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s2"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s1"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s2"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s3"),
+        TSDataType.INT32,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d1.s4"),
+        TSDataType.INT64,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s3"),
+        TSDataType.FLOAT,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+    IoTDB.metaManager.createTimeseries(
+        new PartialPath("root.vehicle.d2.s4"),
+        TSDataType.DOUBLE,
+        TSEncoding.PLAIN,
+        CompressionType.UNCOMPRESSED,
+        null);
+  }
+
+  private static void generateData() {
+    try (Connection connection =
+            DriverManager.getConnection(
+                Config.IOTDB_URL_PREFIX + "127.0.0.1:6667/", "root", "root");
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s1,s3) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d1(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 100, 100, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 200, 102, 101));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 300, 104, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 400, 126, 102));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 500, 108, 103));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 600, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 700, 114, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 800, 112, 104));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 900, 118, 105));
+      statement.execute(
+          String.format(
+              "insert into root.vehicle.d2(timestamp,s2,s4) values(%d,%d,%d)", 1000, 100, 106));
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  private static void registerUDF() {
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      statement.execute(
+          "create function completeness as 'org.apache.iotdb.library.dmatch.UDAFCov'");
+      statement.execute("create function timeliness as 'org.apache.iotdb.library.dmatch.UDAFDtw'");
+      statement.execute(
+          "create function consistency as 'org.apache.iotdb.library.dmatch.UDAFPearson'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFPtnSym'");
+      statement.execute("create function validity as 'org.apache.iotdb.library.dmatch.UDTFXcorr'");
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @AfterClass
+  public static void tearDown() throws Exception {
+    EnvFactory.getEnv().cleanAfterClass();
+    ConfigFactory.getConfig()
+        .setUdfCollectorMemoryBudgetInMB(100)
+        .setUdfTransformerMemoryBudgetInMB(100)
+        .setUdfReaderMemoryBudgetInMB(100);
+  }
+
+  @Test
+  public void testCov1() {
+    String sqlStr = "select cov(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov2() {
+    String sqlStr = "select cov(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov3() {
+    String sqlStr = "select cov(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testCov4() {
+    String sqlStr = "select cov(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw1() {
+    String sqlStr = "select dtw(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw2() {
+    String sqlStr = "select dtw(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw3() {
+    String sqlStr = "select dtw(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testDtw4() {
+    String sqlStr = "select dtw(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      assert resultSetLength == 1;
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= 0.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson1() {
+    String sqlStr = "select pearson(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson2() {
+    String sqlStr = "select pearson(d1.s2,d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson3() {
+    String sqlStr = "select pearson(d2.s1,d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPearson4() {
+    String sqlStr = "select pearson(d2.s2,d2.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      Double result = Double.parseDouble(resultSet.getString(1));
+      assert result >= -0.0D && result <= 1.0D;
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPthSym1() {
+    String sqlStr = "select ptnsym(d1.s1, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym2() {
+    String sqlStr = "select ptnsym(d1.s2, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym3() {
+    String sqlStr = "select ptnsym(d2.s1, 'window'='3', 'threshold'='0') from";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testPtnSym4() {
+    String sqlStr = "select ptnsym(d2.s2, 'window'='3', 'threshold'='0') from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 1);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testXCorr1() {
+    String sqlStr = "select xcorr(d1.s1,d1.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 19);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testXCorr2() {
+    String sqlStr = "select xcorr(d1.s2, d1.s4) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 19);
+    } catch (SQLException throwable) {
+      fail(throwable.getMessage());
+    }
+  }
+
+  @Test
+  public void testXCorr3() {
+    String sqlStr = "select xcorr(d2.s1, d2.s3) from root.vehicle";
+    try (Connection connection = EnvFactory.getEnv().getConnection();
+        Statement statement = connection.createStatement()) {
+      ResultSet resultSet = statement.executeQuery(sqlStr);
+      resultSet.last();
+      int resultSetLength = resultSet.getRow();
+      Assert.assertEquals(resultSetLength, 19);

Review comment:
       As we have discussed previously, please check the equalivent between expected and acutal data returned, not only row counts.




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