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Provide a fast path for the common case of exact float inputs. Saves the overhead of an external function call and of the
x == 1.0
error check. Allows the inner loops to mostly use registers.Speeds-up the overall function by approximately 25%:
Disassembly of math_hypot() using GCC 8.2 shows a very tight inner loop without unnecessary register spills and reloads and without external calls that have to save and restore registers: