Compare commits
15 Commits
| Author | SHA1 | Date |
|---|---|---|
Hubert Tylkowski
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446a46fd69 | |
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Hubert Tylkowski
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2e16ad8b73 | |
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Hubert Tylkowski
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a29f8b6947 | |
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Hubert Tylkowski
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4566e31834 | |
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Hubert Tylkowski
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d267883d76 | |
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Hubert Tylkowski
|
2354df2ae0 | |
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Hubert Tylkowski
|
59a44d5026 | |
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Hubert Tylkowski
|
cdb246b734 | |
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Hubert Tylkowski
|
841b8b4590 | |
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Hubert Tylkowski
|
744f9793c5 | |
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Hubert Tylkowski
|
446d5f2306 | |
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Hubert Tylkowski
|
84c7c81153 | |
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Hubert Tylkowski
|
59cc5a61df | |
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Hubert Tylkowski
|
966b225ba8 | |
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Hubert Tylkowski
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4c976710f9 |
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@ -0,0 +1,5 @@
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public class DivisionErrorException extends Throwable {
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public DivisionErrorException() {
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System.out.println("Division error!");
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}
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}
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@ -0,0 +1,19 @@
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import java.util.ArrayList;
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import java.util.Arrays;
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import java.util.List;
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public class Main {
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public static void main(String[] args) throws DivisionErrorException, MultiplierNotFoundException {
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//ex input in run console : 2 "1 1 1 0 1" "0 1 1"
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int n = Integer.parseInt(args[0]);
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List<Integer> firstPolynomial = new ArrayList<>();
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args[1] = args[1].substring(1, args[1].length()-1);
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args[2] = args[2].substring(1, args[2].length()-1);
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Arrays.asList(args[1].split( ",\\s*" )).forEach(factor -> firstPolynomial.add(Integer.valueOf(factor)));
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List<Integer> secondPolynomial = new ArrayList<>();
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Arrays.asList(args[2].split(",\\s*" )).forEach(factor -> secondPolynomial.add(Integer.valueOf(factor)));
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PolynomialTask polynomialTask = new PolynomialTask(n, firstPolynomial, secondPolynomial);
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polynomialTask.printAllValuesToStandardOutput();
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}
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}
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@ -0,0 +1,5 @@
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public class MultiplierNotFoundException extends Throwable {
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public MultiplierNotFoundException() {
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System.out.println("DivisionError");
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}
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}
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@ -0,0 +1,134 @@
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import java.util.ArrayList;
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import java.util.Arrays;
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import java.util.Collections;
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import java.util.List;
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import java.util.stream.Collectors;
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public class PolynomialTask {
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private int n;
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private List<Integer> firstPolynomial;
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private List<Integer> secondPolynomial;
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public PolynomialTask(int n, List<Integer> firstPoly, List<Integer> secondPoly) {
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this.n = n;
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this.firstPolynomial = firstPoly;
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this.secondPolynomial = secondPoly;
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}
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public Integer[] multiplyPolynomials(List<Integer> firstPolynomial, List<Integer> secondPolynomial) {
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int[] multiplied = new int[firstPolynomial.size() + secondPolynomial.size() - 1];
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int sizeOfFirstPoly = firstPolynomial.size();
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int sizeOfSecondPoly = secondPolynomial.size();
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for (int i = 0; i < sizeOfFirstPoly; i++) {
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for (int j = 0; j < sizeOfSecondPoly; j++)
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multiplied[i + j] = (multiplied[i + j] + (firstPolynomial.get(i) * secondPolynomial.get(j))) % n;
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}
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return Arrays.stream(multiplied).boxed().toArray(Integer[]::new);
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}
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public int[] moduloDividePolynomialsReturnQuotient(List<Integer> firstPoly, List<Integer> secondPoly) throws MultiplierNotFoundException, DivisionErrorException {
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int[] quotient = new int[firstPoly.size() + secondPoly.size()];
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int firstPolyDegree = firstPoly.size() - 1;
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int secondPolyDegree = secondPoly.size() - 1;
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List<Integer> polynomialAfterSubtract = firstPoly;
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while (firstPolyDegree >= secondPolyDegree) {
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polynomialAfterSubtract = calcQuotient(polynomialAfterSubtract, secondPoly, quotient);
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firstPolyDegree = polynomialAfterSubtract.size() - 1;
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}
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int[] remainder = new int[polynomialAfterSubtract.size()];
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for (int i = 0; i < polynomialAfterSubtract.size(); i++) {
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remainder[i] = polynomialAfterSubtract.get(i);
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}
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return remainder;
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}
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private List<Integer> calcQuotient(List<Integer> firstPoly, List<Integer> secondPoly, int[] quotient) throws MultiplierNotFoundException, DivisionErrorException {
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int firstPolyDegree = firstPoly.size() - 1;
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int secondPolyDegree = secondPoly.size() - 1;
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if (firstPolyDegree < secondPolyDegree) {
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throw new DivisionErrorException();
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}
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int quotientCoefficient;
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if ((((float) firstPoly.get(firstPolyDegree) / (float) secondPoly.get(secondPolyDegree))) == Math.round(firstPoly.get(firstPolyDegree) / secondPoly.get(secondPolyDegree))) {
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quotientCoefficient = firstPoly.get(firstPolyDegree) / secondPoly.get(secondPolyDegree);
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} else {
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quotientCoefficient = invElem(firstPoly.get(firstPolyDegree), secondPoly.get(secondPolyDegree));
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}
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quotient[firstPolyDegree - secondPolyDegree] += quotientCoefficient;
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List<Integer> newPoly = generatePolyFromIndexAndValue(firstPolyDegree - secondPolyDegree, quotientCoefficient);
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Integer[] multipliedPolynomials = multiplyPolynomials(newPoly, secondPoly);
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List<Integer> polynomialAfterFirstDivide = new ArrayList<>(Arrays.asList(multipliedPolynomials));
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return removeUnnecessaryZeros(subtractTwoPolynomials(firstPoly, polynomialAfterFirstDivide));
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}
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private List<Integer> removeUnnecessaryZeros(List<Integer> polynomialAfterSubtract) {
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int amountOfZeros = 0;
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for (int i = polynomialAfterSubtract.size() - 1; i >= 0; i--) {
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if (polynomialAfterSubtract.get(i) == 0) {
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amountOfZeros++;
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} else {
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break;
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}
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}
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polynomialAfterSubtract = polynomialAfterSubtract.subList(0, polynomialAfterSubtract.size() - amountOfZeros);
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return polynomialAfterSubtract;
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}
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private List<Integer> subtractTwoPolynomials(List<Integer> firstPoly, List<Integer> secondPoly) {
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List<Integer> subtractedPolynomial = new ArrayList<>(Collections.nCopies(firstPoly.size() + secondPoly.size(), 0));
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for (int index = firstPoly.size(); index >= 0; index--) {
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if (index < secondPoly.size()) {
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subtractedPolynomial.set(index, firstPoly.get(index) - secondPoly.get(index));
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parseNegativeElement(subtractedPolynomial, index);
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}
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}
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return subtractedPolynomial;
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||||
}
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||||
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private void parseNegativeElement(List<Integer> subtractedPolynomial, int index) {
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while (subtractedPolynomial.get(index) < 0)
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subtractedPolynomial.set(index, (subtractedPolynomial.get(index) * subtractedPolynomial.get(index)) % n);
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||||
}
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||||
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||||
private List<Integer> generatePolyFromIndexAndValue(int size, int quotientCoefficient) {
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List<Integer> poly = new ArrayList<>(Collections.nCopies(size + 1, 0));
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poly.set(size, quotientCoefficient);
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return poly;
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||||
}
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||||
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||||
private int invElem(int a, int b) throws MultiplierNotFoundException {
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||||
for (int i = 0; i < n; i++) {
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if (a == (b * i) % n) {
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||||
return i;
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||||
}
|
||||
}
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||||
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||||
throw new MultiplierNotFoundException();
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||||
}
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||||
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||||
public void printAllValuesToStandardOutput() throws DivisionErrorException, MultiplierNotFoundException {
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||||
List<List<Integer>> values = new ArrayList<>();
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||||
values.add(Arrays.asList(multiplyPolynomials(firstPolynomial, secondPolynomial)));
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||||
values.add(Arrays.stream(moduloDividePolynomialsReturnQuotient(firstPolynomial, secondPolynomial)).boxed().collect(Collectors.toList()));
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||||
try {
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values.add(gcd(firstPolynomial, secondPolynomial));
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||||
} catch (MultiplierNotFoundException e) {
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||||
}
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||||
System.out.println(values);
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||||
}
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||||
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private List<Integer> gcd(List<Integer> polyOne, List<Integer> polyTwo) throws MultiplierNotFoundException, DivisionErrorException {
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if (polyTwo.isEmpty()) return polyOne;
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List<Integer> poly = Arrays.stream(moduloDividePolynomialsReturnQuotient(polyOne, polyTwo)).boxed().collect(Collectors.toList());
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return gcd(polyTwo, poly);
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||||
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||||
}
|
||||
|
||||
}
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||||
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@ -0,0 +1,8 @@
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|||
<component name="ArtifactManager">
|
||||
<artifact type="jar" name="Zadanie-03:jar">
|
||||
<output-path>$PROJECT_DIR$/out/artifacts/Zadanie_03_jar</output-path>
|
||||
<root id="archive" name="Zadanie-03.jar">
|
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<element id="module-output" name="Zadanie-03" />
|
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</root>
|
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</artifact>
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</component>
|
||||
|
|
@ -0,0 +1 @@
|
|||
<html>Simple <b>Java</b> application that includes a class with <code>main()</code> method</html>
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|
|
@ -0,0 +1,12 @@
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<?xml version="1.0" encoding="UTF-8"?>
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<project version="4">
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<component name="EntryPointsManager">
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<entry_points version="2.0" />
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<component name="ProjectKey">
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<option name="state" value="project://e2804f05-5315-4fc6-a121-c522a6c26470" />
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</component>
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<component name="ProjectRootManager" version="2" languageLevel="JDK_1_8" project-jdk-name="1.8" project-jdk-type="JavaSDK">
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<output url="file://$PROJECT_DIR$/out" />
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</component>
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</project>
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|
|
@ -0,0 +1,8 @@
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<?xml version="1.0" encoding="UTF-8"?>
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<project version="4">
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<component name="ProjectModuleManager">
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<modules>
|
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<module fileurl="file://$PROJECT_DIR$/Zadanie-03.iml" filepath="$PROJECT_DIR$/Zadanie-03.iml" />
|
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</modules>
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</component>
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</project>
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|
|
@ -0,0 +1,3 @@
|
|||
<template>
|
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<input-field default="com.company">IJ_BASE_PACKAGE</input-field>
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</template>
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|
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@ -0,0 +1,423 @@
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<?xml version="1.0" encoding="UTF-8"?>
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<project version="4">
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<component name="ChangeListManager">
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<list default="true" id="5f8a3521-157f-4adb-a0ab-dc99bbf14aa0" name="Default" comment="">
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<change beforePath="$PROJECT_DIR$/.idea/workspace.xml" beforeDir="false" afterPath="$PROJECT_DIR$/.idea/workspace.xml" afterDir="false" />
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<change beforePath="$PROJECT_DIR$/src/com/tylkowski/crc/CrcTask.java" beforeDir="false" afterPath="$PROJECT_DIR$/src/com/tylkowski/crc/CrcTask.java" afterDir="false" />
|
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<change beforePath="$PROJECT_DIR$/src/com/tylkowski/crc/Main.java" beforeDir="false" afterPath="$PROJECT_DIR$/src/com/tylkowski/crc/Main.java" afterDir="false" />
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</list>
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<ignored path="$PROJECT_DIR$/out/" />
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<option name="EXCLUDED_CONVERTED_TO_IGNORED" value="true" />
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<option name="TRACKING_ENABLED" value="true" />
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<component name="FileEditorManager">
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<leaf SIDE_TABS_SIZE_LIMIT_KEY="300">
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<entry file="file://$PROJECT_DIR$/src/com/tylkowski/crc/Main.java">
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<provider selected="true" editor-type-id="text-editor">
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<state relative-caret-position="255">
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</state>
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</provider>
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</entry>
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</file>
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<file leaf-file-name="CrcTask.java" pinned="false" current-in-tab="false">
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<entry file="file://$PROJECT_DIR$/src/com/tylkowski/crc/CrcTask.java">
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<component name="FileTemplateManagerImpl">
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<option name="RECENT_TEMPLATES">
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<component name="FindInProjectRecents">
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<findStrings>
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<find>System.out.println</find>
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<find>for</find>
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<find />
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<find>System</find>
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<find>ch</find>
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<find>shot</find>
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<find>gen_deg</find>
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<find>char</find>
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<find>swa</find>
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<find>chunk</find>
|
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<find>toBin</find>
|
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<find>toBinaryStr</find>
|
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<find>swap</find>
|
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<find>letter</find>
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<find>lol</find>
|
||||
</findStrings>
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<option name="RECENT_GIT_ROOT_PATH" value="$PROJECT_DIR$/.." />
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<option name="CHANGED_PATHS">
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<list>
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<option value="$PROJECT_DIR$/src/com/tylkowski/crc/Main.java" />
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<option value="$PROJECT_DIR$/src/com/tylkowski/crc/CrcTask.java" />
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<path>
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<item name="Zadanie-03" type="b2602c69:ProjectViewProjectNode" />
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<path>
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<item name="crc" type="462c0819:PsiDirectoryNode" />
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||||
<module name="Zadanie-03" />
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||||
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||||
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<item itemvalue="Application.Main" />
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
</layout>
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||||
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||||
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||||
<option name="version" value="1" />
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||||
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||||
<component name="VcsContentAnnotationSettings">
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||||
<option name="myLimit" value="2678400000" />
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||||
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||||
<component name="VcsManagerConfiguration">
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||||
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||||
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||||
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||||
<MESSAGE value="decode added!" />
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||||
<MESSAGE value="small code refactor" />
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||||
<MESSAGE value="charset update" />
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||||
<option name="LAST_COMMIT_MESSAGE" value="charset update" />
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||||
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||||
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||||
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<entry file="file://$PROJECT_DIR$/src/com/tylkowski/crc/Main.java">
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<entry file="jar://C:/Program Files/Java/jdk1.8.0_77/src.zip!/java/util/Arrays.java">
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||||
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<entry file="file://$PROJECT_DIR$/src/com/tylkowski/crc/Main.java">
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</state>
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</entry>
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</component>
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</project>
|
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|
|
@ -0,0 +1,12 @@
|
|||
<?xml version="1.0" encoding="UTF-8"?>
|
||||
<module type="JAVA_MODULE" version="4">
|
||||
<component name="NewModuleRootManager" inherit-compiler-output="true">
|
||||
<exclude-output />
|
||||
<content url="file://$MODULE_DIR$">
|
||||
<sourceFolder url="file://$MODULE_DIR$/src" isTestSource="false" />
|
||||
</content>
|
||||
<orderEntry type="inheritedJdk" />
|
||||
<orderEntry type="sourceFolder" forTests="false" />
|
||||
</component>
|
||||
</module>
|
||||
|
||||
Binary file not shown.
|
|
@ -0,0 +1,3 @@
|
|||
Manifest-Version: 1.0
|
||||
Main-Class: com.tylkowski.crc.Main
|
||||
|
||||
Binary file not shown.
Binary file not shown.
Binary file not shown.
|
|
@ -0,0 +1,3 @@
|
|||
Manifest-Version: 1.0
|
||||
Main-Class: com.tylkowski.crc.Main
|
||||
|
||||
|
|
@ -0,0 +1,97 @@
|
|||
package com.tylkowski.crc;
|
||||
|
||||
import java.util.Arrays;
|
||||
|
||||
class CrcTask {
|
||||
public CrcTask() {
|
||||
}
|
||||
|
||||
public Polynomial encode(String message) {
|
||||
Polynomial g = new Polynomial("[1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1]", 2); //G(X)
|
||||
Polynomial l = new Polynomial("[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]", 2); // L(X) 16 * 1
|
||||
Polynomial m = new Polynomial("[" + formatMessageToBinaryArrayPolynomial(message) + "]", 2);
|
||||
m.reverse();
|
||||
Polynomial tmp2 = new Polynomial(l);
|
||||
for (int i = 0; i < m.getSize(); i++) {
|
||||
tmp2.append(0, 0);
|
||||
}
|
||||
Polynomial tmp = new Polynomial(m);
|
||||
for (int i = 0; i < 16; i++) {
|
||||
tmp.append(0, 0);
|
||||
}
|
||||
Polynomial sum = tmp.add(tmp2);
|
||||
Polynomial fcsPoly = sum.moduloPolyDivide(g);
|
||||
while (fcsPoly.getSize() < 16) {
|
||||
fcsPoly.append(0, 0);
|
||||
}
|
||||
fcsPoly.reverse();
|
||||
return fcsPoly;
|
||||
}
|
||||
|
||||
public String generateFCSChars(Polynomial poly) {
|
||||
String binString = Arrays.toString(poly.getPolynomialArray());
|
||||
binString = binString.replace(",", "");
|
||||
binString = binString.replace("]", "");
|
||||
binString = binString.replace("[", "");
|
||||
binString = binString.replace(" ", "");
|
||||
return "0x" + Integer.toHexString(Integer.parseInt(binString, 2));
|
||||
}
|
||||
|
||||
private String formatMessageToBinaryArrayPolynomial(String message) {
|
||||
String msgBinString = toBinaryString(message);
|
||||
msgBinString = msgBinString.replace("1", "1,");
|
||||
msgBinString = msgBinString.replace("0", "0,");
|
||||
msgBinString = msgBinString.substring(0, msgBinString.length() - 1);
|
||||
return msgBinString;
|
||||
}
|
||||
|
||||
private String letterToBinaryString(char letter) {
|
||||
short a = (short) letter;
|
||||
StringBuilder binaryString = new StringBuilder(Integer.toBinaryString(a));
|
||||
while (binaryString.length() % 8 != 0) {
|
||||
binaryString.insert(0, "0");
|
||||
}
|
||||
return binaryString.toString();
|
||||
}
|
||||
|
||||
private String toBinaryStringFromHexValue(String hexString) {
|
||||
hexString = hexString.substring(2, hexString.length());
|
||||
return String.valueOf(Integer.toBinaryString(Integer.parseInt(hexString, 16)));
|
||||
}
|
||||
|
||||
private String toBinaryString(String encodedString) {
|
||||
StringBuilder stringBuilder = new StringBuilder();
|
||||
for (int i = 0; i < encodedString.length(); i++) {
|
||||
stringBuilder.append(letterToBinaryString(encodedString.charAt(i)));
|
||||
}
|
||||
return stringBuilder.toString();
|
||||
}
|
||||
|
||||
public boolean decode(String messageString) {
|
||||
Polynomial g = new Polynomial("[1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1]", 2);
|
||||
Polynomial l = new Polynomial("[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]", 2);
|
||||
String fcs = messageString.substring(messageString.indexOf("0x"), messageString.length());
|
||||
messageString = messageString.replace(fcs, "");
|
||||
messageString = toBinaryString(messageString);
|
||||
String messageAsBinaryString = messageString + toBinaryStringFromHexValue(fcs);
|
||||
Polynomial message = new Polynomial("[" + toPolynomialStringFromBinaryString(messageAsBinaryString) + "]", 2);
|
||||
message.reverse();
|
||||
for (int i = 0; i < 16; i++) {
|
||||
message.append(0,0);
|
||||
}
|
||||
Polynomial tmp = new Polynomial(l);
|
||||
for (int i = 0; i < messageAsBinaryString.length(); i++) {
|
||||
tmp.append(0, 0);
|
||||
}
|
||||
Polynomial sum = message.add(tmp);
|
||||
message = sum.moduloPolyDivide(g);
|
||||
return message.haveOnlyZeros();
|
||||
}
|
||||
|
||||
private String toPolynomialStringFromBinaryString(String msgBinString) {
|
||||
msgBinString = msgBinString.replace("1", "1,");
|
||||
msgBinString = msgBinString.replace("0", "0,");
|
||||
msgBinString = msgBinString.substring(0, msgBinString.length() - 1);
|
||||
return msgBinString;
|
||||
}
|
||||
}
|
||||
|
|
@ -0,0 +1,24 @@
|
|||
package com.tylkowski.crc;
|
||||
|
||||
public class Main {
|
||||
|
||||
public static void main(String[] args) {
|
||||
// in command line type "1" for mode and "b" for message
|
||||
// example "1" "b" -> this will encode string "b" and return FCS
|
||||
// example "2" "bX" -> this will decode string "bX" and return true if it is valid or false if not
|
||||
// X - FCS
|
||||
CrcTask crcTask = new CrcTask();
|
||||
if (args[0].equals("1")) {
|
||||
//create FCS
|
||||
System.out.println(args[1] + crcTask.generateFCSChars(crcTask.encode(args[1])));
|
||||
} else if (args[0].equals("2")) {
|
||||
// check fcs
|
||||
if (args[1].length() >= 3) {
|
||||
System.out.println(crcTask.decode(args[1]));
|
||||
}
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
|
||||
}
|
||||
|
|
@ -0,0 +1,182 @@
|
|||
package com.tylkowski.crc;
|
||||
|
||||
import java.util.ArrayList;
|
||||
import java.util.Arrays;
|
||||
import java.util.List;
|
||||
import java.util.stream.Collectors;
|
||||
|
||||
public class Polynomial {
|
||||
private int[] polynomial;
|
||||
private int modulo;
|
||||
|
||||
public Polynomial(String polyString, int modulo) {
|
||||
this.polynomial = parsePolynomialString(polyString);
|
||||
this.modulo = modulo;
|
||||
}
|
||||
|
||||
public Polynomial(int[] polynomial, int modulo) {
|
||||
this.polynomial = polynomial;
|
||||
this.modulo = modulo;
|
||||
}
|
||||
|
||||
public Polynomial(List<Integer> polynomial, int modulo) {
|
||||
this.polynomial = polynomial.stream().mapToInt(i -> i).toArray();
|
||||
this.modulo = modulo;
|
||||
}
|
||||
|
||||
public Polynomial(Polynomial polynomial) {
|
||||
this.polynomial = polynomial.getPolynomialArray();
|
||||
this.modulo = polynomial.getModulo();
|
||||
}
|
||||
|
||||
|
||||
public void append(int index, int value) {
|
||||
ArrayList<Integer> poly = asArrayList();
|
||||
poly.add(index, value);
|
||||
polynomial = poly.stream().mapToInt(i -> i).toArray();
|
||||
}
|
||||
|
||||
|
||||
private int[] parsePolynomialString(String poly) {
|
||||
poly = poly.substring(1, poly.length() - 1);
|
||||
return Arrays.stream(poly.split(",\\s*")).map(String::trim).mapToInt(Integer::parseInt).toArray();
|
||||
}
|
||||
|
||||
public int[] getPolynomialArray() {
|
||||
return polynomial;
|
||||
}
|
||||
|
||||
|
||||
public int getModulo() {
|
||||
return modulo;
|
||||
}
|
||||
|
||||
|
||||
public Polynomial subtract(Polynomial polyTwo) {
|
||||
Polynomial polyOne = new Polynomial(this);
|
||||
ArrayList<Integer> result = new ArrayList<>();
|
||||
for (int i = 0; i < polyOne.getSize(); ++i) {
|
||||
if (i < polyTwo.getSize()) {
|
||||
result.add(Math.floorMod(polyOne.coeffAt(i) - polyTwo.coeffAt(i), modulo));
|
||||
} else {
|
||||
result.add(polyOne.coeffAt(i));
|
||||
}
|
||||
}
|
||||
return new Polynomial(result, modulo);
|
||||
}
|
||||
|
||||
public int getSize() {
|
||||
return polynomial.length;
|
||||
}
|
||||
|
||||
public int coeffAt(int i) {
|
||||
return polynomial[i];
|
||||
}
|
||||
|
||||
public void set(int index, int value) {
|
||||
polynomial[index] = value;
|
||||
}
|
||||
|
||||
public List<Integer> asList() {
|
||||
return Arrays.stream(polynomial).boxed().collect(Collectors.toList());
|
||||
}
|
||||
|
||||
public ArrayList<Integer> asArrayList() {
|
||||
ArrayList<Integer> result = new ArrayList<>();
|
||||
for (int i = 0; i < polynomial.length; i++) {
|
||||
result.add(polynomial[i]);
|
||||
}
|
||||
return result;
|
||||
}
|
||||
|
||||
public Polynomial add(Polynomial polyTwo) {
|
||||
int size = Math.max(polynomial.length, polyTwo.getSize());
|
||||
int[] result = new int[size];
|
||||
for (int i = 0; i < size; i++) {
|
||||
int res = 0;
|
||||
if (i >= polynomial.length) {
|
||||
res = polyTwo.coeffAt(i);
|
||||
}
|
||||
if (i >= polyTwo.getSize()) {
|
||||
res = polynomial[i];
|
||||
}
|
||||
if (i < polynomial.length && i < polyTwo.getSize()) {
|
||||
res = polynomial[i] + polyTwo.coeffAt(i);
|
||||
}
|
||||
result[i] = res;
|
||||
}
|
||||
Polynomial resultPoly = new Polynomial(result, modulo);
|
||||
resultPoly = resultPoly.moduloPoly(resultPoly);
|
||||
return resultPoly;
|
||||
}
|
||||
|
||||
public Polynomial multiplyByNumber(int a) {
|
||||
ArrayList<Integer> result = new ArrayList<>();
|
||||
for (int i = 0; i < polynomial.length; i++) {
|
||||
result.add((polynomial[i] * a) % modulo);
|
||||
}
|
||||
return new Polynomial(result, modulo);
|
||||
}
|
||||
|
||||
public boolean haveOnlyZeros() {
|
||||
return !asArrayList().contains(1);
|
||||
}
|
||||
|
||||
public Polynomial moduloPoly(Polynomial poly) {
|
||||
for (int i = 0; i < poly.getSize(); i++) {
|
||||
while (poly.coeffAt(i) < 0) {
|
||||
poly.getPolynomialArray()[i] = poly.getPolynomialArray()[i] + modulo;
|
||||
}
|
||||
poly.getPolynomialArray()[i] = poly.getPolynomialArray()[i] % modulo;
|
||||
}
|
||||
return poly;
|
||||
}
|
||||
|
||||
private int findZero(int a, int b, int modulo) {
|
||||
for (int i = 0; i <= modulo; i++) {
|
||||
if ((a + (-(b * i))) == 0) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return -1;
|
||||
}
|
||||
public Polynomial moduloPolyDivide(Polynomial polyTwo) {
|
||||
Polynomial polyOne = new Polynomial(this);
|
||||
Polynomial quotient = new Polynomial("[0]", polyOne.getModulo());
|
||||
Polynomial rem = new Polynomial(polyOne);
|
||||
Polynomial tmpPoly;
|
||||
int polyOneIterator = polyOne.getSize() - 1;
|
||||
int polyTwoIterator = polyTwo.getSize() - 1;
|
||||
for (int i = 0; i < polyOneIterator - polyTwoIterator; i++) {
|
||||
quotient.append(0, 0);
|
||||
}
|
||||
int quotientIterator = quotient.getSize() - 1;
|
||||
int tmpZero;
|
||||
while (polyOneIterator >= polyTwoIterator) {
|
||||
tmpZero = findZero(rem.coeffAt(polyOneIterator), polyTwo.coeffAt(polyTwoIterator), polyOne.getModulo());
|
||||
quotient.set(quotientIterator--, tmpZero);
|
||||
tmpPoly = polyTwo.multiplyByNumber(tmpZero);
|
||||
while (tmpPoly.getSize() <= polyOneIterator) {
|
||||
tmpPoly.append(0, 0);
|
||||
}
|
||||
rem = rem.subtract(tmpPoly);
|
||||
polyOneIterator--;
|
||||
}
|
||||
return rem;
|
||||
}
|
||||
|
||||
@Override
|
||||
public String toString() {
|
||||
return "Polynomial{" +
|
||||
"polynomial=" + Arrays.toString(polynomial) +
|
||||
", modulo=" + modulo +
|
||||
'}';
|
||||
}
|
||||
|
||||
public void reverse() {
|
||||
int[] temp = Arrays.copyOf(getPolynomialArray(), getPolynomialArray().length);
|
||||
for (int i = 0; i < temp.length; i++) {
|
||||
polynomial[i] = temp[temp.length - i - 1];
|
||||
}
|
||||
}
|
||||
}
|
||||
Loading…
Reference in New Issue