program now using polyomial class to calculate FCS

02-Wielomiany/src/DivisionErrorException.java

@@ -0,0 +1,5 @@
+public class DivisionErrorException extends Throwable {
+    public DivisionErrorException() {
+        System.out.println("Division error!");
+    }
+}

02-Wielomiany/src/Main.java

@@ -0,0 +1,19 @@
+import java.util.ArrayList;
+import java.util.Arrays;
+import java.util.List;
+
+public class Main {
+
+    public static void main(String[] args) throws DivisionErrorException, MultiplierNotFoundException {
+        //ex input in run console : 2 "1 1 1 0 1" "0 1 1"
+        int n = Integer.parseInt(args[0]);
+        List<Integer> firstPolynomial = new ArrayList<>();
+        args[1] = args[1].substring(1, args[1].length()-1);
+        args[2] = args[2].substring(1, args[2].length()-1);
+        Arrays.asList(args[1].split( ",\\s*" )).forEach(factor -> firstPolynomial.add(Integer.valueOf(factor)));
+        List<Integer> secondPolynomial = new ArrayList<>();
+        Arrays.asList(args[2].split(",\\s*" )).forEach(factor -> secondPolynomial.add(Integer.valueOf(factor)));
+        PolynomialTask polynomialTask = new PolynomialTask(n, firstPolynomial, secondPolynomial);
+        polynomialTask.printAllValuesToStandardOutput();
+    }
+}

02-Wielomiany/src/MultiplierNotFoundException.java

@@ -0,0 +1,5 @@
+public class MultiplierNotFoundException extends Throwable {
+    public MultiplierNotFoundException() {
+        System.out.println("DivisionError");
+    }
+}

02-Wielomiany/src/PolynomialTask.java

@@ -0,0 +1,134 @@
+import java.util.ArrayList;
+import java.util.Arrays;
+import java.util.Collections;
+import java.util.List;
+import java.util.stream.Collectors;
+
+public class PolynomialTask {
+    private int n;
+
+    private List<Integer> firstPolynomial;
+    private List<Integer> secondPolynomial;
+
+    public PolynomialTask(int n, List<Integer> firstPoly, List<Integer> secondPoly) {
+        this.n = n;
+        this.firstPolynomial = firstPoly;
+        this.secondPolynomial = secondPoly;
+    }
+
+    public Integer[] multiplyPolynomials(List<Integer> firstPolynomial, List<Integer> secondPolynomial) {
+        int[] multiplied = new int[firstPolynomial.size() + secondPolynomial.size() - 1];
+        int sizeOfFirstPoly = firstPolynomial.size();
+        int sizeOfSecondPoly = secondPolynomial.size();
+        for (int i = 0; i < sizeOfFirstPoly; i++) {
+            for (int j = 0; j < sizeOfSecondPoly; j++)
+                multiplied[i + j] = (multiplied[i + j] + (firstPolynomial.get(i) * secondPolynomial.get(j))) % n;
+        }
+        return Arrays.stream(multiplied).boxed().toArray(Integer[]::new);
+    }
+
+    public int[] moduloDividePolynomialsReturnQuotient(List<Integer> firstPoly, List<Integer> secondPoly) throws MultiplierNotFoundException, DivisionErrorException {
+        int[] quotient = new int[firstPoly.size() + secondPoly.size()];
+        int firstPolyDegree = firstPoly.size() - 1;
+        int secondPolyDegree = secondPoly.size() - 1;
+        List<Integer> polynomialAfterSubtract = firstPoly;
+
+
+        while (firstPolyDegree >= secondPolyDegree) {
+            polynomialAfterSubtract = calcQuotient(polynomialAfterSubtract, secondPoly, quotient);
+            firstPolyDegree = polynomialAfterSubtract.size() - 1;
+        }
+
+        int[] remainder = new int[polynomialAfterSubtract.size()];
+        for (int i = 0; i < polynomialAfterSubtract.size(); i++) {
+            remainder[i] = polynomialAfterSubtract.get(i);
+        }
+        return remainder;
+    }
+
+    private List<Integer> calcQuotient(List<Integer> firstPoly, List<Integer> secondPoly, int[] quotient) throws MultiplierNotFoundException, DivisionErrorException {
+        int firstPolyDegree = firstPoly.size() - 1;
+        int secondPolyDegree = secondPoly.size() - 1;
+        if (firstPolyDegree < secondPolyDegree) {
+            throw new DivisionErrorException();
+        }
+        int quotientCoefficient;
+        if ((((float) firstPoly.get(firstPolyDegree) / (float) secondPoly.get(secondPolyDegree))) == Math.round(firstPoly.get(firstPolyDegree) / secondPoly.get(secondPolyDegree))) {
+            quotientCoefficient = firstPoly.get(firstPolyDegree) / secondPoly.get(secondPolyDegree);
+        } else {
+            quotientCoefficient = invElem(firstPoly.get(firstPolyDegree), secondPoly.get(secondPolyDegree));
+        }
+        quotient[firstPolyDegree - secondPolyDegree] += quotientCoefficient;
+        List<Integer> newPoly = generatePolyFromIndexAndValue(firstPolyDegree - secondPolyDegree, quotientCoefficient);
+        Integer[] multipliedPolynomials = multiplyPolynomials(newPoly, secondPoly);
+        List<Integer> polynomialAfterFirstDivide = new ArrayList<>(Arrays.asList(multipliedPolynomials));
+
+        return removeUnnecessaryZeros(subtractTwoPolynomials(firstPoly, polynomialAfterFirstDivide));
+    }
+
+    private List<Integer> removeUnnecessaryZeros(List<Integer> polynomialAfterSubtract) {
+        int amountOfZeros = 0;
+        for (int i = polynomialAfterSubtract.size() - 1; i >= 0; i--) {
+            if (polynomialAfterSubtract.get(i) == 0) {
+                amountOfZeros++;
+            } else {
+                break;
+            }
+        }
+
+        polynomialAfterSubtract = polynomialAfterSubtract.subList(0, polynomialAfterSubtract.size() - amountOfZeros);
+        return polynomialAfterSubtract;
+    }
+
+    private List<Integer> subtractTwoPolynomials(List<Integer> firstPoly, List<Integer> secondPoly) {
+        List<Integer> subtractedPolynomial = new ArrayList<>(Collections.nCopies(firstPoly.size() + secondPoly.size(), 0));
+        for (int index = firstPoly.size(); index >= 0; index--) {
+            if (index < secondPoly.size()) {
+                subtractedPolynomial.set(index, firstPoly.get(index) - secondPoly.get(index));
+                parseNegativeElement(subtractedPolynomial, index);
+            }
+        }
+        return subtractedPolynomial;
+    }
+
+    private void parseNegativeElement(List<Integer> subtractedPolynomial, int index) {
+        while (subtractedPolynomial.get(index) < 0)
+            subtractedPolynomial.set(index, (subtractedPolynomial.get(index) * subtractedPolynomial.get(index)) % n);
+    }
+
+    private List<Integer> generatePolyFromIndexAndValue(int size, int quotientCoefficient) {
+        List<Integer> poly = new ArrayList<>(Collections.nCopies(size + 1, 0));
+        poly.set(size, quotientCoefficient);
+        return poly;
+    }
+
+    private int invElem(int a, int b) throws MultiplierNotFoundException {
+
+        for (int i = 0; i < n; i++) {
+            if (a == (b * i) % n) {
+                return i;
+            }
+        }
+
+        throw new MultiplierNotFoundException();
+    }
+
+    public void printAllValuesToStandardOutput() throws DivisionErrorException, MultiplierNotFoundException {
+        List<List<Integer>> values = new ArrayList<>();
+        values.add(Arrays.asList(multiplyPolynomials(firstPolynomial, secondPolynomial)));
+        values.add(Arrays.stream(moduloDividePolynomialsReturnQuotient(firstPolynomial, secondPolynomial)).boxed().collect(Collectors.toList()));
+        try {
+            values.add(gcd(firstPolynomial, secondPolynomial));
+        } catch (MultiplierNotFoundException e) {
+        }
+        System.out.println(values);
+    }
+
+    private List<Integer> gcd(List<Integer> polyOne, List<Integer> polyTwo) throws MultiplierNotFoundException, DivisionErrorException {
+        if (polyTwo.isEmpty()) return polyOne;
+        List<Integer> poly = Arrays.stream(moduloDividePolynomialsReturnQuotient(polyOne, polyTwo)).boxed().collect(Collectors.toList());
+        return gcd(polyTwo, poly);
+
+    }
+
+}

Zadanie-03/.idea/artifacts/Zadanie_03_jar.xml

@@ -0,0 +1,8 @@
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Zadanie-03/.idea/description.html

@@ -0,0 +1 @@
+<html>Simple <b>Java</b> application that includes a class with <code>main()</code> method</html>

Zadanie-03/.idea/misc.xml

@@ -0,0 +1,12 @@
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Zadanie-03/.idea/modules.xml

@@ -0,0 +1,8 @@
+<?xml version="1.0" encoding="UTF-8"?>
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Zadanie-03/.idea/project-template.xml

@@ -0,0 +1,3 @@
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+          </folding>
+        </state>
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+    </entry>
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+    </entry>
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+      <provider selected="true" editor-type-id="text-editor">
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+    </entry>
+    <entry file="jar://C:/Program Files/Java/jdk1.8.0_77/src.zip!/java/lang/Integer.java">
+      <provider selected="true" editor-type-id="text-editor">
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+    </entry>
+    <entry file="jar://C:/Program Files/Java/jdk1.8.0_77/src.zip!/java/lang/System.java">
+      <provider selected="true" editor-type-id="text-editor">
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+    </entry>
+    <entry file="jar://C:/Program Files/Java/jdk1.8.0_77/src.zip!/java/util/Arrays.java">
+      <provider selected="true" editor-type-id="text-editor">
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+        </state>
+      </provider>
+    </entry>
+    <entry file="file://$PROJECT_DIR$/src/com/tylkowski/crc/CrcTask.java">
+      <provider selected="true" editor-type-id="text-editor">
+        <state relative-caret-position="178">
+          <caret line="44" column="9" lean-forward="true" selection-start-line="44" selection-start-column="9" selection-end-line="44" selection-end-column="9" />
+          <folding>
+            <element signature="imports" expanded="true" />
+          </folding>
+        </state>
+      </provider>
+    </entry>
+    <entry file="file://$PROJECT_DIR$/src/com/tylkowski/crc/Main.java">
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+        </state>
+      </provider>
+    </entry>
+  </component>
+</project>

Zadanie-03/Zadanie-03.iml

@@ -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>
+

Zadanie-03/out/production/Zadanie-03/META-INF/MANIFEST.MF

@@ -0,0 +1,3 @@
+Manifest-Version: 1.0
+Main-Class: com.tylkowski.crc.Main
+

Zadanie-03/src/META-INF/MANIFEST.MF

@@ -0,0 +1,3 @@
+Manifest-Version: 1.0
+Main-Class: com.tylkowski.crc.Main
+

Zadanie-03/src/com/tylkowski/crc/CrcTask.java

@@ -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;
+    }
+}

Zadanie-03/src/com/tylkowski/crc/Main.java

@@ -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]));
+            }
+        }
+
+    }
+
+
+}

Zadanie-03/src/com/tylkowski/crc/Polynomial.java

@@ -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];
+        }
+    }
+}