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DALGLI0/Ring.java

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Java
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2018-05-31 08:20:14 +02:00
import java.util.ArrayList;
public class Ring {
int n;
ArrayList<Integer> odwracalne;
ArrayList<Integer> dzielniki;
ArrayList<Integer> nilpotentne;
ArrayList<Integer> idempotentne;
public Ring(int n) {
this.n = n;
odwracalne = new ArrayList<>();
dzielniki = new ArrayList<>();
nilpotentne = new ArrayList<>();
idempotentne = new ArrayList<>();
}
private int nwd(int a, int b){
while (a != b){
if (a > b) a -=b;
else b -= a;
}
return a;
}
private int phi(int a){
float result = a;
for (int p = 2; p * p <= a; ++p) {
if (a % p == 0) {
while (a % p == 0)
a /= p;
result *= (1.0 - (1.0 / (float)p));
}
}
if (a > 1)
result *= (1.0 - (1.0 / (float)a));
return (int)result;
}
static int modularPower(int x, int y, int p){
int res = 1;
x = x % p;
while (y > 0){
if((y & 1)==1) res = (res * x) % p;
y = y >> 1;
x = (x * x) % p;
}
return res;
}
void wyznaczOdwracalne(){
for (int i = 1; i < n; ++i){
if (nwd(i, n) == 1) odwracalne.add(i);
}
}
void wyznaczDzielniki(){
for (int i = 1; i < n; ++i){
for (int j = 1; j < n; ++j){
if(((i * j) % n) == 0){
dzielniki.add(i);
break;
}
}
}
}
void wyznaczNil(){
for (int i = 1; i < n; ++i){
for (int j = 1; j <= phi(n); ++j){
if (modularPower(i, j, n) == 0){
nilpotentne.add(i);
break;
}
}
}
}
void wyznaczId(){
int pow;
for (int i = 0; i < n; ++i){
pow = (i * i) % n;
if (pow == i){
idempotentne.add(i);
}
}
}
}