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Michael T. Jones authored
Three optimizations: First, special-case power of two bases that partion a Word(), bases 2, 4, 16, and 256. These can be moved directly from internal Word() storage to the output without multiprecision operations. Next, same approach for the other power-of-two bases, 8, 32, 64, and 128. These don't fill a Word() evenly, so special handling is needed for those cases where input spans the high-bits of one Word and the low bis of the next one. Finally, implement the general case for others bases in 2 <= base <= 256 using superbases, the largest power of base representable in a Word(). For base ten, this is 9 digits and a superbase of 10^9 for 32-bit Words and 19 digits and 10^19 for 64-bit compiles. This way we do just 1/9th or 1/19th of the expensive multiprecision divisions, unpacking superdigits using fast native machine arithmetic. The resulting code runs 7x to 800x the speed of the previous approach, depending on the length of the number to be converted--longer is relatively faster. Also, extended the tests and benchmarks for string to nat (scan()) and nat to string (string()) functions. A further enhancement awaits the next CL to make general cases about 7x faster for long cases. R=gri CC=golang-dev https://golang.org/cl/4595041
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