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forked from kalmar/DALGLI0

Usuń 'Polynomials.java'

This commit is contained in:
Rafał Dąbkowski 2018-06-25 16:58:31 +00:00
parent 6d2de46eea
commit 0f8b02bde2

View File

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import java.util.ArrayList;
public class Polynomials {
int n;
public Polynomials(int n) {
this.n = n;
}
private ArrayList<Integer> normalize(ArrayList<Integer> w){
for (int i = w.size()-1; i >= 0; --i){
if (w.get(i).equals(0)) {
w.remove(i);
}else {
return w;
}
}
return w;
}
public ArrayList<Integer> multiply(ArrayList<Integer> f, ArrayList<Integer> g){
ArrayList<Integer> result = new ArrayList<>();
int tmp;
for (int i = 0; i < f.size(); ++i){
for (int j = 0; j < g.size(); ++j){
tmp = f.get(i) * g.get(j);
if (i + j < result.size()){
tmp += result.get(i+j);
result.set(i + j, tmp % n);
} else {
while ((i + j) >= (result.size())){
result.add(0);
}
result.set(i + j, tmp % n);
}
}
}
return normalize(result);
}
private int getZero(int a, int b) throws ArithmeticException{
for (int i = 0; i <= n; ++i){
if ((a + (-(b * i))) == 0) return i;
}
throw new ArithmeticException("not reversible");
}
public ArrayList<Integer> multiplyByConst(ArrayList<Integer> f, Integer a){
ArrayList<Integer> result = new ArrayList<>();
for (Integer i : f){
result.add((i * a) % n);
}
return result;
}
public ArrayList<Integer> subtract(ArrayList<Integer> f, ArrayList<Integer> g){
ArrayList<Integer> result = new ArrayList<>();
for (int i = 0; i < f.size(); ++i){
if (i < g.size()){
result.add(Math.floorMod(f.get(i) - g.get(i), n));
} else{
result.add(f.get(i));
}
}
return result;
}
public ArrayList<Integer> divModN(ArrayList<Integer> f, ArrayList<Integer> g) throws ArithmeticException{
ArrayList<Integer> quotient = new ArrayList<>();
ArrayList<Integer> remainder = new ArrayList<>(f);
ArrayList<Integer> tmpList;
int a = f.size() - 1;
int b = g.size() - 1;
for (int i = 0; i < a - b + 1; ++i){
quotient.add(0);
}
int q = quotient.size()-1;
int tmp;
while (a >= b) {
tmp = getZero(remainder.get(a), g.get(b));
quotient.set(q--, tmp);
tmpList = multiplyByConst(g, tmp);
while(tmpList.size() <= a) tmpList.add(0,0);
remainder = subtract(remainder, tmpList);
--a;
}
return normalize(remainder);
}
public ArrayList<Integer> gcc (ArrayList<Integer> f, ArrayList<Integer> g){
if (g.size() == 0) return f;
if (f.size() > g.size()){
return gcc(g, divModN(f, g));
} else return gcc(g, divModN(g, f));
}
}