Twofold Meaning

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چکیده

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Twofold fast arithmetic

Can we assure math computations by automatic verifying floating-point accuracy? We define fast arithmetic (based on Dekker [1]) over twofold approximations z ≈ z0 + z1, such that z0 is standard result and z1 assesses inaccuracy ∆z0 = z − z0. We propose on-fly tracking z1, detecting if ∆z0 appears too high. We believe permanent tracking is worth its cost. C++ test code for Intel AVX available vi...

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ژورنال

عنوان ژورنال: Oz

سال: 1998

ISSN: 2378-5853

DOI: 10.4148/2378-5853.1315