adapt to update sieves for additive functions

internal/lib/sieve/primeOmega.go

@@ -16,21 +16,6 @@ along with this program. If not, see <http://www.gnu.org/licenses/>.
 */
 package sieve
 
-func primeOmegaUpdateMultiples(sieve []uint, p uint, n uint) {
-	for q := p; ; q *= p {
-		// omega(a*b) = omega(a) + omega(b) if gcd(a,b) = 1
-		for i := 2 * q; i < n; i += q {
-			if i%(p*q) != 0 {
-				sieve[i] += sieve[q]
-			}
-		}
-
-		if p*q >= n {
-			break
-		}
-	}
-}
-
 func updatePowers(sieve []uint, p uint, n uint) {
 	for q := p; p*q < n; q *= p {
 		sieve[p*q] = 1 + sieve[q]
@@ -60,7 +45,7 @@ func PrimeOmega(n uint, multiplicity bool, buflen uint) chan uint {
 				updatePowers(sieve, i, n)
 			}
 
-			primeOmegaUpdateMultiples(sieve, i, n)
+			updateMultiples(sieve, i, n, true)
 			ch <- sieve[i]
 		}
 	}()