[SPARK-47478][SQL][TESTS] Improve test coverage for mysql bool synonyms

### What changes were proposed in this pull request?

We have special conversion rules for mapping MySQL boolean synonyms, this PR added some tests to cover the read and write code path

### Why are the changes needed?

test coverage improvements

### Does this PR introduce _any_ user-facing change?

no

### How was this patch tested?

added tests
### Was this patch authored or co-authored using generative AI tooling?

no

Closes #45604 from yaooqinn/SPARK-47478.

Authored-by: Kent Yao <yao@apache.org>
Signed-off-by: Hyukjin Kwon <gurwls223@apache.org>

connector/docker-integration-tests/src/test/scala/org/apache/spark/sql/jdbc/MySQLIntegrationSuite.scala

@@ -24,6 +24,7 @@ import java.util.Properties
 
 import org.apache.spark.sql.Row
 import org.apache.spark.sql.catalyst.util.DateTimeTestUtils._
+import org.apache.spark.sql.types.{BooleanType, MetadataBuilder, StructType}
 import org.apache.spark.tags.DockerTest
 
 /**
@@ -46,6 +47,10 @@ class MySQLIntegrationSuite extends DockerJDBCIntegrationSuite {
     conn.prepareStatement("INSERT INTO tbl VALUES (42,'fred')").executeUpdate()
     conn.prepareStatement("INSERT INTO tbl VALUES (17,'dave')").executeUpdate()
 
+    conn.prepareStatement("CREATE TABLE bools (b1 BOOLEAN, b2 BIT(1), b3 TINYINT(1))")
+      .executeUpdate()
+    conn.prepareStatement("INSERT INTO bools VALUES (TRUE, b'1', 1)").executeUpdate()
+
     conn.prepareStatement("CREATE TABLE numbers (onebit BIT(1), tenbits BIT(10), "
       + "small SMALLINT, med MEDIUMINT, nor INT, big BIGINT, deci DECIMAL(40,20), flt FLOAT, "
       + "dbl DOUBLE, tiny TINYINT, u_tiny TINYINT UNSIGNED)").executeUpdate()
@@ -204,4 +209,19 @@ class MySQLIntegrationSuite extends DockerJDBCIntegrationSuite {
        """.stripMargin.replaceAll("\n", " "))
     assert(sql("select x, y from queryOption").collect().toSet == expectedResult)
   }
+
+
+  test("SPARK-47478: all boolean synonyms read-write roundtrip") {
+    val df = sqlContext.read.jdbc(jdbcUrl, "bools", new Properties)
+    checkAnswer(df, Row(true, true, true))
+    df.write.mode("append").jdbc(jdbcUrl, "bools", new Properties)
+    checkAnswer(df, Seq(Row(true, true, true), Row(true, true, true)))
+    val mb = new MetadataBuilder()
+      .putBoolean("isTimestampNTZ", false)
+      .putLong("scale", 0)
+    assert(df.schema === new StructType()
+      .add("b1", BooleanType, nullable = true, mb.putBoolean("isSigned", true).build())
+      .add("b2", BooleanType, nullable = true, mb.putBoolean("isSigned", false).build())
+      .add("b3", BooleanType, nullable = true, mb.putBoolean("isSigned", true).build()))
+  }
 }