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> as a tiny number of instructions

specifically 1




For sqrt() on x86_64 and gcc/clang, yes. But functions like fmod() are generally more instructions. And as for trig functions like sin(), AFAIK most compilers will always use a function call, because the x86 trig instructions don't have good speed/accuracy compared to a modern stdlib.

And YMMV when it comes to other arch's and compilers (and -fmath settings).




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