Fact to Fact linkage thru a map table

Hi,
I have a situation where in two fact tables are linked thru an intermediate map table. The purpose of doing so was to facilitatie an n:n relationship between f1 and f2. So this map table essentially has 3 columns viz pk, f1 key, f2 key. f1 and f2 has it's own sets of dimension tables attached to it. Of these some dimension tables are linked to the fact tables thru corresponding map tables to facilitate n:n relationships. So there are two types of map tables >> between two facts and between a fact and a dim. The reporting requirement is like this: attributes of f1,dimensions attched to f1, attributes of f2s attached to f1, dimensions attached to f2.
The design is tricky and was done a long time ago and solutions are currently running on it. So a design change is not possible. Can somebody suggest an approach to tackle this kind of a relationship?
Many thanks

Hi,
Many thanks for the suggestion.
I'd declared the map tables that connected fact to dimension as bridge tables. When I do the same for a map table between two fact tables, the conistency check fails. I get "Internal error: Missing functional dependancy assosiation for column : Control Legal Entity.d_checker_date" Control legal entity is a dim table which is connected to the fact table thru a map table and d_checker_date is the first column in that table. If i delete this column the same error repeats for the next column.
Any thoughts on this?

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