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Conference papers
Parallel floating-point expansions for extended-precision GPU computations
Abstract : GPUs are an important hardware development platform for problems where massive parallel computations are needed. Many of these problems require a higher precision than the standard double floating-point (FP) available. One common way of extending the precision is the multiple-component approach, in which real numbers are represented as the unevaluated sum of several standard machine precision FP numbers. This representation is called a FP expansion and it offers the simplicity of using directly available and highly optimized FP operations. In this article we present new data-parallel algorithms for adding and multiplying FP expansions specially designed for extended precision computations on GPUs. These are generalized algorithms that can manipulate FP expansions of different sizes (from double-double up to a few tens of doubles) and ensure a certain worst case error bound on the results.
Cited literature [11 references]
https://hal.archives-ouvertes.fr/hal-01298206
Contributor : Valentina Popescu <>
Submitted on : Monday, April 11, 2016 - 11:00:19 AM
Last modification on : Friday, January 8, 2021 - 3:41:02 AM
Long-term archiving on: : Monday, November 14, 2016 - 11:44:37 PM
Contributor : Valentina Popescu <>
Submitted on : Monday, April 11, 2016 - 11:00:19 AM
Last modification on : Friday, January 8, 2021 - 3:41:02 AM
Long-term archiving on: : Monday, November 14, 2016 - 11:44:37 PM
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Parallel FP expans.pdf
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