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The locality metrics are many, for example, miss ratio to test performance, data footprint to manage cache sharing, and reuse distance to analyze and optimize a program. It is unclear how different metrics are related, whether one subsumes another, and what combination may represent locality completely. This paper first derives a set of formulas to convert between five locality metrics and gives the condition for correctness. The transformation is analogous to differentiation and integration.doi:10.1145/2499368.2451153 fatcat:gzzzs4gcobhkdmq2jhud6jcjjq