factor: expand comments
Signed-off-by: Denys Vlasenko <vda.linux@googlemail.com>
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@ -107,9 +107,12 @@ static NOINLINE void factorize(wide_t N)
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factor = 3;
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factor2 = 3 * 3;
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for (;;) {
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while ((N % factor) == 0) {
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/* The division is the most costly part of the loop.
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* On 64bit CPUs, takes at best 12 cycles, often ~20.
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*/
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while ((N % factor) == 0) { /* not likely */
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N = N / factor;
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printf(" %u"HALF_FMT"", factor);
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printf(" %u"HALF_FMT, factor);
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max_factor = isqrt_odd(N);
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}
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next_factor:
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@ -122,8 +125,8 @@ static NOINLINE void factorize(wide_t N)
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factor += 2;
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/* Rudimentary wheel sieving: skip multiples of 3:
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* Every third odd number is divisible by three and thus isn't a prime:
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* 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37...
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* ^ ^ ^ ^ ^ ^ ^ _ ^ ^ _ ^
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* 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47...
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* ^ ^ ^ ^ ^ ^ ^ _ ^ ^ _ ^ ^ ^ ^
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* (^ = primes, _ = would-be-primes-if-not-divisible-by-5)
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*/
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--count3;
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