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Harishankar Vishwanathan authored
This patch introduces a new algorithm for multiplication of tristate numbers (tnums) that is provably sound. It is faster and more precise when compared to the existing method. Like the existing method, this new algorithm follows the long multiplication algorithm. The idea is to generate partial products by multiplying each bit in the multiplier (tnum a) with the multiplicand (tnum b), and adding the partial products after appropriately bit-shifting them. The new algorithm, however, uses just a single loop over the bits of the multiplier (tnum a) and accumulates only the uncertain components of the multiplicand (tnum b) into a mask-only tnum. The following paper explains the algorithm in more detail: https://arxiv.org/abs/2105.05398. A natural way to construct the tnum product is by performing a tnum addition on all the partial products. This algorithm presents another method of doing this: decompose each partial product into tw...
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