Multi‐way versus one‐way constraints in user interfaces: Experience with the deltablue algorithm

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Abstract
The efficient satisfaction of constraints is essential to the performance of constraint‐based user interfaces. In the past, most constraint‐based user interfaces have used one‐way rather than multi‐way constraints because of a widespread belief that one‐way constraints were more efficient. In this paper we argue that many user interface construction problems are handled more naturally and elegantly by multi‐way constraints than by one‐way constraints. We present pseudocode for an incremental multi‐way constraint satisfaction algorithm, DeltaBlue, and describe experience in using the algorithm in two user interface toolkits. Finally, we provide performance figures demonstrating that multi‐way constraint solvers can be entirely competitive in performance with one‐way constraint solvers.

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