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For configurations of point-sets that are pairwise constrained by distanceintervals, the EASAL software implements a suite of algorithms thatcharacterize the structure and geometric properties of the configuration space.The algorithms generate, describe and explore these configuration spaces usinggeneric rigidity properties, classical results for stratification ofsemi-algebraic sets, and new results for efficient sampling by convexparametrization. The paper reviews the key theoretical underpinnings, majoralgorithms and their implementation. The paper outlines the main applicationssuch as the computation of free energy and kinetics of assembly ofsupramolecular structures or of clusters in colloidal and soft materials. Inaddition, the paper surveys select experimental results and comparisons.

Efficient Atlasing and Search of Configuration Spaces of Point-Sets Constrained by Distance Intervals