107 lines
2.3 KiB
Go
107 lines
2.3 KiB
Go
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/*
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Copyright © 2025 filifa
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program. If not, see <http://www.gnu.org/licenses/>.
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*/
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package cmd
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import (
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"fmt"
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"github.com/spf13/cobra"
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)
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var primeOmegaN uint
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func primeOmegaUpdateMultiples(sieve []uint, p uint, n uint) {
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for q := p; ; q *= p {
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// omega(a*b) = omega(a) + omega(b) if gcd(a,b) = 1
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for i := 2 * q; i < n; i += q {
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if i%(p*q) != 0 {
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sieve[i] += sieve[q]
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}
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}
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if p*q >= n {
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break
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}
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}
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}
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func primeOmegaSieve(n uint) chan uint {
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sieve := make([]uint, n)
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for i := uint(0); i < n; i++ {
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sieve[i] = 0
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}
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ch := make(chan uint)
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go func() {
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for i := uint(0); i < n; i++ {
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if i == 0 || i == 1 || sieve[i] != 0 {
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ch <- sieve[i]
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continue
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}
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sieve[i] = 1
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primeOmegaUpdateMultiples(sieve, i, n)
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ch <- sieve[i]
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}
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close(ch)
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}()
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return ch
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}
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func primeOmega(cmd *cobra.Command, args []string) {
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ch := primeOmegaSieve(primeOmegaN)
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for i := 0; ; i++ {
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v, ok := <-ch
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if !ok {
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break
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}
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if i == 0 {
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continue
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}
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fmt.Println(v)
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}
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}
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// primeOmegaCmd represents the primeOmega command
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var primeOmegaCmd = &cobra.Command{
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Use: "prime-omega -n N",
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Short: "",
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Long: ``,
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Run: primeOmega,
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}
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func init() {
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sieveCmd.AddCommand(primeOmegaCmd)
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// Here you will define your flags and configuration settings.
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// Cobra supports Persistent Flags which will work for this command
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// and all subcommands, e.g.:
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// primeOmegaCmd.PersistentFlags().String("foo", "", "A help for foo")
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// Cobra supports local flags which will only run when this command
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// is called directly, e.g.:
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// primeOmegaCmd.Flags().BoolP("toggle", "t", false, "Help message for toggle")
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primeOmegaCmd.Flags().UintVarP(&primeOmegaN, "limit", "n", 0, "upper limit")
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primeOmegaCmd.MarkFlagRequired("limit")
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}
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