mathtools/cmd/gcd.go

93 lines
2.2 KiB
Go

/*
Copyright © 2025 filifa
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
package cmd
import (
"fmt"
"log"
"math/big"
"github.com/spf13/cobra"
)
var extended bool
func computeBezouts(bezouts []big.Int, x, y *big.Int) {
for i, b := range bezouts {
if i == len(bezouts)-1 {
bezouts[i].Set(y)
} else {
bezouts[i].Mul(&b, x)
}
}
}
func gcd(cmd *cobra.Command, args []string) {
x := new(big.Int)
y := new(big.Int)
z := new(big.Int)
w := new(big.Int)
bezouts := make([]big.Int, len(args))
for i, s := range args {
_, ok := w.SetString(s, 10)
if !ok {
log.Fatal("invalid input " + s)
}
z.GCD(x, y, z, w)
if extended {
computeBezouts(bezouts[:i+1], x, y)
}
}
fmt.Print(z)
if extended {
for _, b := range bezouts {
fmt.Printf(" %s", &b)
}
}
fmt.Println()
}
// gcdCmd represents the gcd command
var gcdCmd = &cobra.Command{
Use: "gcd N N [N ...]",
Short: "Compute the greatest common denominator of a set of numbers",
Long: `Compute the greatest common denominator of a set of numbers.`,
Args: cobra.MinimumNArgs(2),
Run: gcd,
}
func init() {
rootCmd.AddCommand(gcdCmd)
// Here you will define your flags and configuration settings.
// Cobra supports Persistent Flags which will work for this command
// and all subcommands, e.g.:
// gcdCmd.PersistentFlags().String("foo", "", "A help for foo")
// Cobra supports local flags which will only run when this command
// is called directly, e.g.:
// gcdCmd.Flags().BoolP("toggle", "t", false, "Help message for toggle")
gcdCmd.Flags().BoolVarP(&extended, "extended", "e", false, "also compute the Bezout coefficients")
}