Added Polynomial class and basic math operations

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);
+
+    }
+
+}

03-CRC.md

@@ -4,12 +4,10 @@ Napisać program, który dla wiadomości `M` w formie tekstowej ASCII (tj. `8` b
 
 1. utworzy FCS (*Frame Check Sequence*) długości `16` bitów zgodnie z algorytmem **D-1.1**;
   - INPUT: `M` - tablica znaków ASCII długości `n-2`;
-  - OUTPUT: `N` - tablica 8-bitowych liczb (`unsigned char`) długości `n`, która zawiera oryginalną wiadomość `M` na pierwszych `n-2` miejscach, zaś ostatnie dwa zawierają FCS.
+  - OUTPUT: `N` - tablica znaków ASCII długości `n`, która zawiera oryginalną wiadomość `M` na pierwszych `n-2` miejscach, zaś ostatnie zawierają FCS interpretowanymi jako dwa znaki (po 8 bitów każdy).
 2. pozwoli sprawdzić, czy dana ramka (tj. wiadomość + FCS) zawiera poprawną treść (zgodnie z **D-1.2**;
-  - INPUT: `N` - tablica 8-bitowych liczb (`unsigned char`) długości `n` (np. w formacie hex)
-  - OUTPUT: `true` jeśli dwie ostatnie liczby tablicy `N` odpowiadają FCS wiadomości `M = N[0:n-2]` (interpretowanej jako tablica typu `char`), `false` w przeciwnym wypadku;
-
-UWAGA: Program w punkcie **2** powinien być w stanie zweryfikować output z punktu **1**!
+  - INPUT: `N` - tablica znaków ASCII długości `n`
+  - OUTPUT: `true` jeśli dwa ostatnie znaki `N` odpowiadają FCS wiadomości `M = N[0:n-2]`, `false` w przeciwnym wypadku;
 
 Źródło: [Report: Telemetry Summary of Concept and Rationale](http://mtc-m16c.sid.inpe.br/col/sid.inpe.br/mtc-m18@80/2009/07.15.17.25/doc/CCSDS%20100.0-G-1.pdf), CCSDS 100.0-G-1 Report Concerning Space.
 

04-Ilorazy-pierścienia-wielomianów.md

@@ -1,48 +0,0 @@
-## Zadanie
-
-Napisać program, który dla pierścienia `ℤ/nℤ[x]/(f = a₀ + a₁x¹+ ...+ aₖxᵏ)` znajdzie wszystkie
-
-  1. elementy odwracalne,
-  2. dzielniki zera,
-  3. elementy nilpotentne,
-  4. elementy idempotentne.
-
-  - INPUT: `n [a₀,a₁,...,aₖ]`
-  - OUTPUT: lista zawierająca cztery powyższe listy elementów (wielomianów, podanych jako listy współczynników)
-
-### Przykłady:
-
-1. `ℤ/2ℤ[x]/(x² + x + 1)`, który jest ciałem, tzn. `0` jest jedynym elementem nilpotentnym i jedynym dzielnikiem zera:
-   * INPUT: `2 [1,1,1]` 
-   * OUTPUT: 
-
-```shell
-[
-	[[1], [0,1], [0,1], [1,1]], # odwracalne
-	[[0]],	# dzielniki zera
-	[[0]],	# nilpotenty
-	[[1]]	# idempotenty
-]
-```
-
-1. `ℤ/5ℤ[x]/(2x³ + 2x² + x + 1)`
-   * INPUT: `3, [1,1,2,2]` 
-   * OUTPUT:
-
-```sh
-[
-	[[1], [2], [0, 1], [0, 2], [0, 0, 1], [1, 0, 1], [2, 1, 1], [2, 2, 1], [0, 0, 2], [2, 0, 2], [1, 1, 2], [1, 2, 2]], # odwracalne
-	[[0], [1, 1], [2, 1], [1, 2], [2, 2], [2, 0, 1], [0, 1, 1], [1, 1, 1], [0, 2, 1], [1, 2, 1], [1, 0, 2], [0, 1, 2], [2, 1, 2], [0, 2, 2], [2, 2, 2]], # dzielniki zera
-	[[0], [2, 0, 1], [1, 0, 2]], # nilpotenty
-	[[0], [1], [1, 2, 1], [0, 1, 2]] # idempotenty
-]
-```
-
-### Warunki punktacji
-* program musi być typu wsadowego, tj. uruchamiany z linii komend;
-* program musi się działać (i kompilować) na serwerze [LTS](https://laboratoria.wmi.amu.edu.pl/en/uslugi/serwer-terminalowy/lts)
-
-UWAGA: **NIE** przyjmuję squashed pulls (z jednym commitem)
-
-### Termin
-28.06.2018

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

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Zadanie-03/.idea/modules.xml

@@ -0,0 +1,8 @@
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Zadanie-03/.idea/project-template.xml

@@ -0,0 +1,3 @@
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Zadanie-03/.idea/workspace.xml

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+      <option name="project" value="LOCAL" />
+      <updated>1529487959831</updated>
+    </task>
+    <option name="localTasksCounter" value="7" />
+    <servers />
+  </component>
+  <component name="TimeTrackingManager">
+    <option name="totallyTimeSpent" value="44887000" />
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+  <component name="ToolWindowManager">
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+    <editor active="true" />
+    <layout>
+      <window_info anchor="right" id="Palette" order="3" />
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+      <window_info anchor="bottom" id="Event Log" order="7" side_tool="true" />
+      <window_info anchor="right" id="Maven Projects" order="3" />
+      <window_info anchor="bottom" id="Database Changes" order="7" show_stripe_button="false" />
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+      <window_info anchor="right" id="Database" order="3" />
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+      <window_info anchor="right" id="Ant Build" order="1" weight="0.25" />
+      <window_info id="UI Designer" order="2" />
+      <window_info anchor="right" id="Theme Preview" order="3" />
+      <window_info id="Favorites" order="2" side_tool="true" />
+      <window_info anchor="bottom" id="Debug" order="3" weight="0.39933994" />
+      <window_info anchor="right" content_ui="combo" id="Hierarchy" order="2" weight="0.25" />
+      <window_info anchor="bottom" id="Inspection" order="5" weight="0.4" />
+      <window_info anchor="right" id="Commander" order="0" weight="0.4" />
+      <window_info anchor="bottom" id="Message" order="0" />
+      <window_info anchor="bottom" id="Cvs" order="4" weight="0.25" />
+      <window_info anchor="bottom" id="Find" order="1" />
+    </layout>
+  </component>
+  <component name="TypeScriptGeneratedFilesManager">
+    <option name="version" value="1" />
+  </component>
+  <component name="VcsContentAnnotationSettings">
+    <option name="myLimit" value="2678400000" />
+  </component>
+  <component name="VcsManagerConfiguration">
+    <MESSAGE value="project started" />
+    <MESSAGE value="poly generating &amp; swapping" />
+    <MESSAGE value="encode added!" />
+    <MESSAGE value="decode added!" />
+    <MESSAGE value="small code refactor" />
+    <MESSAGE value="charset update" />
+    <option name="LAST_COMMIT_MESSAGE" value="charset update" />
+  </component>
+  <component name="editorHistoryManager">
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+    <entry file="jar://C:/Program Files/Java/jdk1.8.0_77/src.zip!/java/lang/System.java">
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+    </entry>
+    <entry file="jar://C:/Program Files/Java/jdk1.8.0_77/src.zip!/java/util/Arrays.java">
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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">
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+          <folding>
+            <element signature="imports" expanded="true" />
+          </folding>
+        </state>
+      </provider>
+    </entry>
+    <entry file="file://$PROJECT_DIR$/src/com/tylkowski/crc/Main.java">
+      <provider selected="true" editor-type-id="text-editor">
+        <state relative-caret-position="255">
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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 +1,225 @@
+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();
+    }
+}

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

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

Zadanie-04/src/com/tylkowski/ilorazy/Main.java

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

Zadanie-04/src/com/tylkowski/ilorazy/Polynomial.java

@@ -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 +
+                '}';
+    }
+}

Zadanie-04/src/com/tylkowski/ilorazy/QuotientRingTask.java

@@ -0,0 +1,12 @@
+package com.tylkowski.ilorazy;
+
+public class QuotientRingTask {
+
+    private Polynomial polynomial;
+
+    public QuotientRingTask(Polynomial poly) {
+
+    }
+
+
+}