In a few places in the mathcw library, we need to work with an intermediate precision having at least twice as many digits as storage precision. In almost all historical floating-point architectures, for single-precision computation, the double-precision format satisfies that requirement (see Table H.1 on page 948). However, for double-precision work, higher precision may be unavailable, as is the case in many programming languages, or it may be insufficiently precise, such as the IEEE 754 80-bit format compared to the 64-bit format.
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