Common lisp bindings to CUDD.
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Common Lisp binding to CUDD Build Status

This is a fork of original CL-CUDD using the modern common lisp convension.

  • Supported implementations: SBCL, CCL and ECL.
  • Requirements: make, curl
  • Developmental State: After some refurbishment, now it loads reliably and all tests pass.
  • TODOs:
    • Automatic variable reordering
    • Variable grouping API
    • GC hook and control API
    • Higher-order layer for set manipulation
    • benchmarking
  • Related work: trivialib.bdd is another common lisp library for BDDs, which is entirely written in lisp. CUDD is more on the state-of-the-art side.

What is BDDs and CUDD?

BDDs (Binary Decision Diagrams) are awesome datastructures that can compactly represent exponentially large number of datasets, as well as allowing the direct computation over the compressed representation, i.e., you can take the sum/product/union/intersection of the datasets without decompressing the data!

CUDD is a famous C implementation of BDDs and its relatives: Multi-Terminal Binary Decision Diagrams (MTBDDs, also known as Algebraic DD / ADDs) and Zero-suppressed Decision Diagrams.


trivialib.bdd is another common lisp library for BDDs, which is entirely written in lisp. CUDD is more on the state-of-the-art side.

Building/Loading the system

The system is asdf-loadable. This version of CL-CUDD automatically fetches CUDD v3.0.0 from via curl. The archive is expanded in the ASDF system directory and builds its dynamic library, which is then loaded by CL-CUDD.

To test the system, evaluate (asdf:test-system :cl-cudd.test). It also writes the visualizations of the decision diagrams to the system directory in DOT format. If you have Graphviz installed, the test script also tries to convert the results into pdfs.

The binding(s)

The binding consists of two layers: The lower layer has cl-cudd.baseapi package. This layer is a very thin wrapper around the C library, passes raw pointers around and requires that you take care of reference counting.

Above this layer there is a package named cl-cudd (with a nickname cudd). It wraps the pointers from the lower layer, takes care of reference counting for you, defines several high-level operations, and also adds documentation from the CUDD manual.

DD Construction Examples


System structure


This is loosely based on the SWIG-extracted information and is using CFFI-Grovel to actually map C symbols to lisp symbols. If you want to use this layer, then it would be best to have a look at the CUDD manual.

You can use the low-level system just as you would use the C API of CUDD. This also means that you have to do all the reference counting yourself, with one exception: The reference count of the return value each CUDD function that returns a node is increased if it is not null. If it is null, a signal of type cudd-null-pointer-error is raised.


The high level API automatically wraps the CUDD nodes in an instance of class node. ADD nodes are wrapped in an instance of add-node and BDD nodes are wrapped in an instance of type bdd-node.

This enables runtime type checking (so that you don't stick ADD nodes into BDD functions or vice-versa) and also automatic reference counting.

Almost all CUDD functions need to refer to a CUDD manager. In the high-level API this manager is contained in special variable *manager*. You can bind a manager using the macro with-manager. You can also create a manager by (make-instance 'manager :pointer (cudd-init 0 0 256 262144 0)).

All functions of package CL-CUDD are documented using the original or slightly modified documentation of CUDD.


The initial version was automatically generated using SWIG by Utz-Uwe Haus. The second version was adapted to the needs by Christian von Essen Later, @Neronus made a git repository on Github and @rpgoldman made a few bugfixes. Finally @guicho271828 (Masataro Asai) has modernized the repository according to the recent practice in common lisp: unit tests, Travis-CI support, better documentation and additional support for ZDDs.

Known problems

Using the GC to do reference counting automatically has its own share of problems:

  1. References may be freed very late.

    Nodes will be dereferenced only if your CL implementation thinks that it's time for it. This is usually when itself is running out of memory. Because you are usually only holding on to the top of a diagram, you are not using as much memory in CL as you are using in CUDD. Hence the GC might come pretty late while CUDD is happily accumulating memory.

    The solution to that is to try to call the garbage collector manually every so often using for example TRIVIAL-GARBAGE:GC

Solved problems

References may be freed too early

The old text below is wrong. CUDD's reference counting GC does not work this way. According to CUDD's manual, its GC happens when:

  1. A call to cuddUniqueInter , to cuddUniqueInterZdd , to cuddUnique- Const, or to a function that may eventually cause a call to them.
  2. A call to Cudd RecursiveDeref , to Cudd RecursiveDerefZdd , or to a function that may eventually cause a call to them.

Thus the GC does not occur at arbitrary code path, as assumed below.

 The following two examples demonstrate the problem.

    (defun foo (dd)
      (let ((ptr (node-pointer dd)))
        ;; please don't GC me here
        (cudd-do-something ptr)))

In this example the GC might decide to run where there is the
In that case, provided that nothing outside of the function call
holds on to `dd`, the reference count of `ptr` might be decreased,
go down to zero and the node vanishes before `cudd-do-something` is