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The LHC@home project uses public resource computing to simulate circulating protons in the future Large Hadron Collider (LHC). As the physics simulated may become chaotic, checking the integrity of the computation distributed over a heterogeneous network requires perfectly identical (or homogeneous) floating-point behaviour, regardless of the model of computer used. This article defines an acceptable homogeneous behaviour based on existing standards, and explains how to obtain it. This involves processor, operating system, programming language and compiler issues. In the LHC@home project, imposing this homogeneous behaviour entailed less than 10% performance degradation per processor, and almost doubled the number of processors which could be usefully exploited.
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