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Zadanie-04
| Author | SHA1 | Date |
|---|---|---|
Hubert Tylkowski
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cc5a883982 | |
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Hubert Tylkowski
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0cbe06592f | |
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Hubert Tylkowski
|
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
|
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
|
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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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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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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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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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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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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||||
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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>
|
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|
|
@ -0,0 +1 @@
|
|||
<html>Simple <b>Java</b> application that includes a class with <code>main()</code> method</html>
|
||||
|
|
@ -0,0 +1,12 @@
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<?xml version="1.0" encoding="UTF-8"?>
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<option name="state" value="project://e2804f05-5315-4fc6-a121-c522a6c26470" />
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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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|
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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 @@
|
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<template>
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<input-field default="com.company">IJ_BASE_PACKAGE</input-field>
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</template>
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@ -0,0 +1,423 @@
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<?xml version="1.0" encoding="UTF-8"?>
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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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<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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</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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<provider selected="true" editor-type-id="text-editor">
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<option name="RECENT_TEMPLATES">
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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 />
|
||||
<find>System</find>
|
||||
<find>ch</find>
|
||||
<find>shot</find>
|
||||
<find>gen_deg</find>
|
||||
<find>char</find>
|
||||
<find>swa</find>
|
||||
<find>chunk</find>
|
||||
<find>toBin</find>
|
||||
<find>toBinaryStr</find>
|
||||
<find>swap</find>
|
||||
<find>letter</find>
|
||||
<find>lol</find>
|
||||
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<component name="IdeDocumentHistory">
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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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<item name="Zadanie-03" type="462c0819:PsiDirectoryNode" />
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<path>
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<item name="Zadanie-03" type="b2602c69:ProjectViewProjectNode" />
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<item name="Zadanie-03" type="462c0819:PsiDirectoryNode" />
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<item name="src" type="462c0819:PsiDirectoryNode" />
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<item name="crc" type="462c0819:PsiDirectoryNode" />
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<option name="MAIN_CLASS_NAME" value="com.tylkowski.crc.Main" />
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<module name="Zadanie-03" />
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<option name="PROGRAM_PARAMETERS" value=""2" "b"" />
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<option name="WORKING_DIRECTORY" value="file://$PROJECT_DIR$" />
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<option name="WORKING_DIRECTORY" />
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<option name="ALTERNATIVE_JRE_PATH" />
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<option name="PASS_PARENT_ENVS" value="true" />
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<module name="" />
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<envs />
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<method />
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||||
</configuration>
|
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<recent_temporary>
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<list>
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<item itemvalue="Application.Main" />
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</recent_temporary>
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<component name="SvnConfiguration">
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<configuration />
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<task active="true" id="Default" summary="Default task">
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<changelist id="5f8a3521-157f-4adb-a0ab-dc99bbf14aa0" name="Default" comment="" />
|
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</project>
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|
|
@ -0,0 +1,12 @@
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<?xml version="1.0" encoding="UTF-8"?>
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<module type="JAVA_MODULE" version="4">
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<component name="NewModuleRootManager" inherit-compiler-output="true">
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<exclude-output />
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<content url="file://$MODULE_DIR$">
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</content>
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<orderEntry type="inheritedJdk" />
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<orderEntry type="sourceFolder" forTests="false" />
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</component>
|
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</module>
|
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|
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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.
|
|
@ -0,0 +1,3 @@
|
|||
Manifest-Version: 1.0
|
||||
Main-Class: com.tylkowski.crc.Main
|
||||
|
||||
|
|
@ -0,0 +1,225 @@
|
|||
package com.tylkowski.crc;
|
||||
|
||||
import java.util.Arrays;
|
||||
|
||||
class CrcTask {
|
||||
private String message;
|
||||
private short[] messageAsShortArray;
|
||||
private short[] polyGenerator;
|
||||
private String rawMessage;
|
||||
|
||||
CrcTask(String message) {
|
||||
this.rawMessage = message;
|
||||
this.message = formatMessage(toBinaryString(message)) + "0000000000000000";
|
||||
createGeneratingPolynomial();
|
||||
}
|
||||
|
||||
|
||||
private String formatMessage(String message) {
|
||||
int firstNonZeroVal = 0;
|
||||
boolean found = false;
|
||||
StringBuilder validString = new StringBuilder();
|
||||
while (!found && firstNonZeroVal < message.length()) {
|
||||
if (message.charAt(firstNonZeroVal) == 48) {
|
||||
firstNonZeroVal++;
|
||||
} else {
|
||||
found = true;
|
||||
}
|
||||
}
|
||||
|
||||
for (int i = firstNonZeroVal; i < message.length(); i++) {
|
||||
if (message.charAt(i) == 48) {
|
||||
validString.append(0);
|
||||
} else {
|
||||
validString.append(1);
|
||||
}
|
||||
}
|
||||
StringBuilder msg = new StringBuilder(validString.toString());
|
||||
while (msg.length() % 8 != 0) {
|
||||
msg.insert(0, "0");
|
||||
}
|
||||
|
||||
return msg.toString();
|
||||
}
|
||||
|
||||
private String generateFCS() {
|
||||
while (true) {
|
||||
if (messageAsShortArray[0] == 0) {
|
||||
messageAsShortArray = Arrays.copyOfRange(messageAsShortArray, 1, messageAsShortArray.length);
|
||||
} else {
|
||||
short[] piece = Arrays.copyOfRange(messageAsShortArray, 0, Math.min(polyGenerator.length, messageAsShortArray.length));
|
||||
if (piece.length < polyGenerator.length) {
|
||||
fillPolynomial(piece);
|
||||
return createTwoCharsOfFCS(piece);
|
||||
}
|
||||
short[] remainder = calcXOR(piece, polyGenerator);
|
||||
remainder = removeUnecessaryZeros(remainder);
|
||||
messageAsShortArray = createMessageFromRemainderAndPartFromOldMessage(remainder, messageAsShortArray);
|
||||
}
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
private String createTwoCharsOfFCS(short[] piece) {
|
||||
short[] firstPiece = Arrays.copyOfRange(piece, 0, 8);
|
||||
short[] secondPiece = Arrays.copyOfRange(piece, piece.length - 8, piece.length);
|
||||
short[] mergedPieces = new short[firstPiece.length + secondPiece.length];
|
||||
for (int i = 0; i < firstPiece.length; i++) {
|
||||
mergedPieces[i] = firstPiece[i];
|
||||
mergedPieces[i + 8] = secondPiece[i];
|
||||
}
|
||||
return "0x" + Integer.toHexString(Integer.parseInt(shortArrayToBinaryString(mergedPieces), 2));
|
||||
}
|
||||
|
||||
private short[] createMessageFromRemainderAndPartFromOldMessage(short[] remainder, short[] msg) {
|
||||
short[] tempArr = new short[remainder.length + msg.length - polyGenerator.length];
|
||||
System.arraycopy(remainder, 0, tempArr, 0, remainder.length);
|
||||
int diff = polyGenerator.length - remainder.length;
|
||||
System.arraycopy(msg, remainder.length + diff, tempArr, remainder.length, msg.length - diff - remainder.length);
|
||||
msg = tempArr;
|
||||
return msg;
|
||||
}
|
||||
|
||||
private short[] removeUnecessaryZeros(short[] remainder) {
|
||||
int firstNonZeroVal = 0;
|
||||
boolean found = false;
|
||||
while (!found && firstNonZeroVal < remainder.length) {
|
||||
if (remainder[firstNonZeroVal] == 0) {
|
||||
firstNonZeroVal++;
|
||||
} else {
|
||||
found = true;
|
||||
}
|
||||
}
|
||||
return Arrays.copyOfRange(remainder, firstNonZeroVal, remainder.length);
|
||||
}
|
||||
|
||||
private short[] calcXOR(short[] piece, short[] polyGenerator) {
|
||||
int a = Integer.parseInt(shortArrayToBinaryString(piece), 2);
|
||||
int b = Integer.parseInt(shortArrayToBinaryString(polyGenerator), 2);
|
||||
String binaryString = Integer.toBinaryString(a ^ b);
|
||||
return convertBinaryStringToShortArray(binaryString);
|
||||
}
|
||||
|
||||
private String shortArrayToBinaryString(short[] value) {
|
||||
StringBuilder binaryString = new StringBuilder();
|
||||
for (Short a : value) {
|
||||
binaryString.append(a);
|
||||
}
|
||||
return binaryString.toString();
|
||||
}
|
||||
|
||||
private void fillPolynomial(short[] piece) {
|
||||
while (piece.length % 8 != 0) {
|
||||
piece = addZeroAtBeginningOfArray(piece);
|
||||
}
|
||||
}
|
||||
|
||||
private short[] addZeroAtBeginningOfArray(short[] piece) {
|
||||
short[] tempArray = new short[piece.length + 1];
|
||||
tempArray[0] = 0;
|
||||
System.arraycopy(piece, 0, tempArray, 1, piece.length);
|
||||
return tempArray;
|
||||
}
|
||||
|
||||
private short[] convertBinaryStringToShortArray(String binaryString) {
|
||||
short[] shortArray = new short[binaryString.length()];
|
||||
for (int i = 0; i < binaryString.length(); i++) {
|
||||
if (binaryString.charAt(i) == 48) {
|
||||
shortArray[i] = 0;
|
||||
} else {
|
||||
shortArray[i] = 1;
|
||||
}
|
||||
}
|
||||
return shortArray;
|
||||
}
|
||||
|
||||
private void createGeneratingPolynomial() {
|
||||
polyGenerator = new short[17];
|
||||
for (int i = 0; i < 17; i++) {
|
||||
polyGenerator[i] = 0;
|
||||
}
|
||||
polyGenerator[0] = 1;
|
||||
polyGenerator[4] = 1;
|
||||
polyGenerator[11] = 1;
|
||||
polyGenerator[16] = 1;
|
||||
}
|
||||
|
||||
private short[] swapPolynomialValues(short[] poly) {
|
||||
for (int i = 0; i < polyGenerator.length - 1; i++) {
|
||||
poly[i] = (short) ((poly[i] + 1) % 2);
|
||||
}
|
||||
return poly;
|
||||
}
|
||||
|
||||
String encode() {
|
||||
messageAsShortArray = convertBinaryStringToShortArray(message);
|
||||
messageAsShortArray = swapPolynomialValues(messageAsShortArray);
|
||||
return rawMessage + generateFCS();
|
||||
}
|
||||
|
||||
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();
|
||||
}
|
||||
|
||||
boolean decode(String encodedString) {
|
||||
String fcs = encodedString.substring(encodedString.indexOf("0x"), encodedString.length());
|
||||
encodedString = encodedString.replace(fcs, "");
|
||||
encodedString = toBinaryString(encodedString);
|
||||
encodedString = encodedString + toBinaryStringFromHexValue(fcs);
|
||||
encodedString = fillPoly(encodedString);
|
||||
short[] encodedShortArray = convertBinaryStringToShortArray(encodedString);
|
||||
encodedShortArray = swapPolynomialValues(encodedShortArray);
|
||||
while (true) {
|
||||
if (!shortArrayContains(encodedShortArray, 1)) {
|
||||
return true;
|
||||
}
|
||||
if (encodedShortArray[0] == 0) {
|
||||
encodedShortArray = Arrays.copyOfRange(encodedShortArray, 1, encodedShortArray.length);
|
||||
} else {
|
||||
short[] piece = Arrays.copyOfRange(encodedShortArray, 0, Math.min(polyGenerator.length, encodedShortArray.length));
|
||||
if (piece.length < polyGenerator.length) {
|
||||
return false;
|
||||
}
|
||||
|
||||
short[] remainder = calcXOR(piece, polyGenerator);
|
||||
remainder = removeUnecessaryZeros(remainder);
|
||||
encodedShortArray = createMessageFromRemainderAndPartFromOldMessage(remainder, encodedShortArray);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
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();
|
||||
}
|
||||
|
||||
private boolean shortArrayContains(short[] encodedShortArray, int value) {
|
||||
for (short item : encodedShortArray) {
|
||||
if (item == value) {
|
||||
return true;
|
||||
}
|
||||
}
|
||||
return false;
|
||||
}
|
||||
|
||||
private String fillPoly(String encodedString) {
|
||||
StringBuilder stringBuilder = new StringBuilder(encodedString);
|
||||
while (stringBuilder.length() % 8 != 0) {
|
||||
stringBuilder.insert(0, "0");
|
||||
}
|
||||
return stringBuilder.toString();
|
||||
}
|
||||
}
|
||||
|
|
@ -0,0 +1,22 @@
|
|||
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(args[1]);
|
||||
if (args[0].equals("1")) {
|
||||
//create FCS
|
||||
System.out.println(crcTask.encode());
|
||||
} else if (args[0].equals("2")) {
|
||||
// check fcs
|
||||
if (args[1].length() >= 3) System.out.println(crcTask.decode(args[1]));
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
|
||||
}
|
||||
Binary file not shown.
Binary file not shown.
Binary file not shown.
|
|
@ -0,0 +1,8 @@
|
|||
package com.tylkowski.ilorazy;
|
||||
|
||||
public class Main {
|
||||
|
||||
public static void main(String[] args) {
|
||||
QuotientRingTask quotientRingTask = new QuotientRingTask(new Polynomial(args[1], Integer.parseInt(args[0])));
|
||||
}
|
||||
}
|
||||
|
|
@ -0,0 +1,189 @@
|
|||
package com.tylkowski.ilorazy;
|
||||
|
||||
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 int getModulo() {
|
||||
return modulo;
|
||||
}
|
||||
|
||||
int getSize() {
|
||||
return polynomial.length;
|
||||
}
|
||||
|
||||
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 List<Integer> asList() {
|
||||
return Arrays.stream(polynomial).boxed().collect(Collectors.toList());
|
||||
}
|
||||
|
||||
public int[] asArray(List<Integer> list) {
|
||||
return list.stream().mapToInt(i -> i).toArray();
|
||||
}
|
||||
|
||||
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.valueAt(i);
|
||||
}
|
||||
if (i >= polyTwo.getSize()) {
|
||||
res = polynomial[i];
|
||||
}
|
||||
if (i < polynomial.length && i< polyTwo.getSize()) {
|
||||
res = polynomial[i] + polyTwo.valueAt(i);
|
||||
}
|
||||
result[i] = res;
|
||||
}
|
||||
return new Polynomial(result, modulo);
|
||||
}
|
||||
|
||||
public Polynomial subtract(Polynomial polyTwo) {
|
||||
int[] result = new int[polynomial.length];
|
||||
for (int i = 0; i < polynomial.length; i++) {
|
||||
result[i] = polynomial[i] - polyTwo.valueAt(i);
|
||||
}
|
||||
return new Polynomial(result, modulo);
|
||||
}
|
||||
|
||||
public Polynomial multiply(Polynomial multiplyPolynomial) {
|
||||
int[] multiplied = new int[polynomial.length + multiplyPolynomial.getSize() - 1];
|
||||
int sizeOfFirstPoly = polynomial.length;
|
||||
int sizeOfSecondPoly = multiplyPolynomial.getSize();
|
||||
for (int i = 0; i < sizeOfFirstPoly; i++) {
|
||||
for (int j = 0; j < sizeOfSecondPoly; j++)
|
||||
multiplied[i + j] = (multiplied[i + j] + (polynomial[i] * multiplyPolynomial.valueAt(j)));
|
||||
}
|
||||
return new Polynomial(multiplied, modulo);
|
||||
}
|
||||
|
||||
public Polynomial divide(Polynomial polyTwo) {
|
||||
int[] poly = polynomial;
|
||||
if (poly.length < polyTwo.getSize()) {
|
||||
return null;
|
||||
}
|
||||
int firstPolyDeg = poly.length - 1;
|
||||
int secondPolyDeg = polyTwo.getSize() - 1;
|
||||
int[] tempArr = new int[poly.length];
|
||||
int[] result;
|
||||
fillTemporaryArray(polyTwo.getPolynomialArray(), tempArr);
|
||||
int tempMultiplier;
|
||||
int shift = 0;
|
||||
while (firstPolyDeg >= secondPolyDeg) {
|
||||
parseNegativeElement(poly, firstPolyDeg);
|
||||
tempMultiplier = findMultiplier(poly[firstPolyDeg], polyTwo.valueAt(secondPolyDeg));
|
||||
tempArr = shiftValuesInArray(tempArr, shift);
|
||||
tempArr = multiplyPolynomialByNumber(tempArr, tempMultiplier);
|
||||
tempArr = moduloArray(tempArr);
|
||||
poly = subtract(new Polynomial(tempArr, modulo)).getPolynomialArray();
|
||||
firstPolyDeg--;
|
||||
shift++;
|
||||
}
|
||||
result = Arrays.copyOf(poly, shift - 1);
|
||||
return new Polynomial(result, modulo);
|
||||
}
|
||||
|
||||
public int valueAt(int index) {
|
||||
return polynomial[index];
|
||||
}
|
||||
|
||||
public void moduloPoly() {
|
||||
for (int i = 0; i < polynomial.length; i++) {
|
||||
polynomial[i] = polynomial[i] % modulo;
|
||||
}
|
||||
}
|
||||
|
||||
public int[] moduloArray(int[] poly) {
|
||||
for (int i = 0; i < poly.length; i++) {
|
||||
poly[i] = poly[i] % modulo;
|
||||
}
|
||||
return poly;
|
||||
}
|
||||
|
||||
private Polynomial multiplyPolynomialByNumber(int multiplier) {
|
||||
for (int i = 0; i < polynomial.length; i++) {
|
||||
polynomial[i] = polynomial[i] * multiplier;
|
||||
}
|
||||
return new Polynomial(polynomial, modulo);
|
||||
}
|
||||
|
||||
private int[] multiplyPolynomialByNumber(int[] poly, int multiplier) {
|
||||
for (int i = 0; i < poly.length; i++) {
|
||||
poly[i] = poly[i] * multiplier;
|
||||
}
|
||||
return poly;
|
||||
}
|
||||
|
||||
|
||||
public int[] getPolynomialArray() {
|
||||
return polynomial;
|
||||
}
|
||||
|
||||
private int[] shiftValuesInArray(int[] array, int amount) {
|
||||
if (amount == 0) {
|
||||
return array;
|
||||
} else {
|
||||
int[] res = new int[array.length];
|
||||
System.arraycopy(array, amount, res, 0, array.length - amount);
|
||||
for (int j = array.length - amount + 1; j < res.length; j++) {
|
||||
res[j] = 0;
|
||||
}
|
||||
return res;
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
private int findMultiplier(int a, int b) {
|
||||
for (int i = 0; i < modulo; i++) {
|
||||
if (a == (b * i) % modulo) {
|
||||
return i;
|
||||
}
|
||||
}
|
||||
return -1;
|
||||
}
|
||||
|
||||
private void fillTemporaryArray(int[] polyTwo, int[] tempArr) {
|
||||
for (int i = 0; i < polyTwo.length; i++) {
|
||||
tempArr[tempArr.length - 1 - i] = polyTwo[polyTwo.length - 1 - i];
|
||||
}
|
||||
}
|
||||
|
||||
private void parseNegativeElement(int[] polyOne, int polyDeg) {
|
||||
while (polyOne[polyDeg] < 0) {
|
||||
polyOne[polyDeg] = modulo + polyOne[polyDeg];
|
||||
}
|
||||
}
|
||||
|
||||
@Override
|
||||
public String toString() {
|
||||
return "Polynomial{" +
|
||||
"polynomial=" + Arrays.toString(polynomial) +
|
||||
", modulo=" + modulo +
|
||||
'}';
|
||||
}
|
||||
}
|
||||
|
|
@ -0,0 +1,12 @@
|
|||
package com.tylkowski.ilorazy;
|
||||
|
||||
public class QuotientRingTask {
|
||||
|
||||
private Polynomial polynomial;
|
||||
|
||||
public QuotientRingTask(Polynomial poly) {
|
||||
|
||||
}
|
||||
|
||||
|
||||
}
|
||||
Loading…
Reference in New Issue