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Mondrian is an OLAP (online analytical processing) engine written in Java. It reads from JDBC data sources, aggregates data in a memory cache, and implements the MDX language and the olap4j and XML/A APIs.
jdbc4olap is a ready-to-use JDBC 3.0 driver that provides access to OLAP databases. Relying on a relational representation of multidimensional environments, it includes a SQL-MDX converter and uses XMLA to dialog with OLAP servers.
Rex (waRehouse EXplorer) is a java client that provides easy-to-use GUI for browsing multidimensional data sources that support XMLA protocol (Mondrian, Microsoft Analysis Services 2000 and 2005). Rex also includes MDX editor and MDX Builder Tool.
OpenRolap: an implementation of OLAP in a relational database. Conceptually simple, the current version is in MySQL, with a Java API. The API aims to avoid complex MDX-type language, instead to use a simple "filter path" structure.