When implementing a propagator for a constraint, one must
decide about variants: When implementing min, should one
also implement max? Should one implement linear constraints
both with unit and non-unit coefficients? Constraint variants
are ubiquitous: implementing them requires considerable (if not
prohibitive) effort and decreases maintainability, but will
deliver better performance than resorting to constraint
This paper shows how to use views to derive perfect propagator variants. A model for views and derived propagators is introduced. Derived propagators are proved to be indeed perfect in that they inherit essential properties such as correctness and domain and bounds consistency. Techniques for systematically deriving propagators such as transformation, generalization, specialization, and type conversion are developed. The paper introduces an implementation architecture for views that is independent of the underlying constraint programming system. A detailed evaluation of views implemented in Gecode shows that derived propagators are efficient and that views often incur no overhead. Without views, Gecode would either require 180 000 rather than 40 000 lines of propagator code, or would lack many efficient propagator variants. Compared to 8 000 lines of code for views, the reduction in code for propagators yields a 1750% return on investment.
Available from http://arxiv.org/abs/0908.2050.
This article extends the material of two previous papers (2006 and 2008).
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Wed Sep 16 10:47:00 2009