论文标题

间隔检查的乘法复杂性

The multiplicative complexity of interval checking

论文作者

Häner, Thomas, Soeken, Mathias

论文摘要

我们确定检查$ a \ leq x <b $的确切和门口成本,其中$ a $和$ b $是恒定的整数。也许令人惊讶的是,我们发现间隔检查的成本永远不会超过单个比较的成本,在某些情况下,它甚至更低。

We determine the exact AND-gate cost of checking if $a\leq x < b$, where $a$ and $b$ are constant integers. Perhaps surprisingly, we find that the cost of interval checking never exceeds that of a single comparison and, in some cases, it is even lower.

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