I originally set up spring with xapool, but it turns out that's a dead project and seems to have lots of problems.
I switched to c3p0, but now I learn that the @Transactional annotations don't actually create transactions when used with c3p0. If I do the following it will insert the row into Foo even through an exception was thrown inside the method:
@Service
public class FooTst
{
    @PersistenceContext(unitName="accessControlDb") private EntityManager em;
    @Transactional
    public void insertFoo() {
        em.createNativeQuery("INSERT INTO Foo (id) VALUES (:id)")
            .setParameter("id", System.currentTimeMillis() % Integer.MAX_VALUE )
            .executeUpdate();
        throw new RuntimeException("Foo");
    }
}
This is strange because if I comment out the @Transactional annotation it will actually fail and complain about having a transaction set to rollback only:
java.lang.IllegalStateException: Cannot get Transaction for setRollbackOnly
    at org.objectweb.jotm.Current.setRollbackOnly(Current.java:568)
    at org.hibernate.ejb.AbstractEntityManagerImpl.markAsRollback(AbstractEntityManagerImpl.java:421)
    at org.hibernate.ejb.AbstractEntityManagerImpl.throwPersistenceException(AbstractEntityManagerImpl.java:576)
    at org.hibernate.ejb.QueryImpl.executeUpdate(QueryImpl.java:48)
    at com.ipass.rbac.svc.FooTst.insertFoo(FooTst.java:21)
    at com.ipass.rbac.svc.SingleTst.testHasPriv(SingleTst.java:78)
    at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
    at sun.reflect.NativeMethodAccessorImpl.invoke(NativeMethodAccessorImpl.java:39)
    at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:25)
    at java.lang.reflect.Method.invoke(Method.java:597)
    at org.springframework.test.context.junit4.SpringTestMethod.invoke(SpringTestMethod.java:160)
    at org.springframework.test.context.junit4.SpringMethodRoadie.runTestMethod(SpringMethodRoadie.java:233)
    at org.springframework.test.context.junit4.SpringMethodRoadie$RunBeforesThenTestThenAfters.run(SpringMethodRoadie.java:333)
    at org.springframework.test.context.junit4.SpringMethodRoadie.runWithRepetitions(SpringMethodRoadie.java:217)
    at org.springframework.test.context.junit4.SpringMethodRoadie.runTest(SpringMethodRoadie.java:197)
    at org.springframework.test.context.junit4.SpringMethodRoadie.run(SpringMethodRoadie.java:143)
    at org.springframework.test.context.junit4.SpringJUnit4ClassRunner.invokeTestMethod(SpringJUnit4ClassRunner.java:160)
    at org.junit.internal.runners.JUnit4ClassRunner.runMethods(JUnit4ClassRunner.java:51)
    at org.junit.internal.runners.JUnit4ClassRunner$1.run(JUnit4ClassRunner.java:44)
    at org.junit.internal.runners.ClassRoadie.runUnprotected(ClassRoadie.java:27)
    at org.junit.internal.runners.ClassRoadie.runProtected(ClassRoadie.java:37)
    at org.junit.internal.runners.JUnit4ClassRunner.run(JUnit4ClassRunner.java:42)
    at org.springframework.test.context.junit4.SpringJUnit4ClassRunner.run(SpringJUnit4ClassRunner.java:97)
    at org.eclipse.jdt.internal.junit4.runner.JUnit4TestReference.run(JUnit4TestReference.java:45)
    at org.eclipse.jdt.internal.junit.runner.TestExecution.run(TestExecution.java:38)
    at org.eclipse.jdt.internal.junit.runner.RemoteTestRunner.runTests(RemoteTestRunner.java:460)
    at org.eclipse.jdt.internal.junit.runner.RemoteTestRunner.runTests(RemoteTestRunner.java:673)
    at org.eclipse.jdt.internal.junit.runner.RemoteTestRunner.run(RemoteTestRunner.java:386)
    at org.eclipse.jdt.internal.junit.runner.RemoteTestRunner.main(RemoteTestRunner.java:196)
So, clearly it notices the @Transactional annotation. But, it doesn't actually set autocommit to off at the start of the method.
Here is how I have transactional stuff setup up in the applicationContext.xml. Is this correct? If not, what is this supposed to be?
<bean id="jotm" class="org.springframework.transaction.jta.JotmFactoryBean"/>
<bean id="txManager" class="org.springframework.transaction.jta.JtaTransactionManager">
    <property name="transactionManager" ref="jotm"/>
    <property name="userTransaction" ref="jotm"/>
    <property name="allowCustomIsolationLevels" value="true"/>
</bean>
<tx:annotation-driven  transaction-manager="txManager" proxy-target-class="false"/>
After a bunch of searching I found a connection pool called Bitronix, but their spring setup page describes stuff about JMS which doesn't even make any sense. What does JMS have to do with setting up a connection pool?
So I'm stuck. What am I actually supposed to do? I don't understand why the connection pool needs to support transactions. All connections support turning autocommit on and off, so I have no idea what the problem is here.