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Author SHA1 Message Date
210e91191b correct CRC output type 2018-06-26 10:44:11 +02:00
488d8468cd Zadanie 4 2018-06-14 16:56:45 +02:00
26 changed files with 53 additions and 942 deletions

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

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@ -1,19 +0,0 @@
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();
}
}

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

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@ -1,134 +0,0 @@
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);
}
}

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@ -4,10 +4,12 @@ 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**; 1. utworzy FCS (*Frame Check Sequence*) długości `16` bitów zgodnie z algorytmem **D-1.1**;
- INPUT: `M` - tablica znaków ASCII długości `n-2`; - INPUT: `M` - tablica znaków ASCII długości `n-2`;
- 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). - 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.
2. pozwoli sprawdzić, czy dana ramka (tj. wiadomość + FCS) zawiera poprawną treść (zgodnie z **D-1.2**; 2. pozwoli sprawdzić, czy dana ramka (tj. wiadomość + FCS) zawiera poprawną treść (zgodnie z **D-1.2**;
- INPUT: `N` - tablica znaków ASCII długości `n` - INPUT: `N` - tablica 8-bitowych liczb (`unsigned char`) długości `n` (np. w formacie hex)
- OUTPUT: `true` jeśli dwa ostatnie znaki `N` odpowiadają FCS wiadomości `M = N[0:n-2]`, `false` w przeciwnym wypadku; - 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**!
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. 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.

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@ -0,0 +1,48 @@
## Zadanie
Napisać program, który dla pierścienia `/n[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. `/2[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. `/5[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

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@ -1,8 +0,0 @@
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<html>Simple <b>Java</b> application that includes a class with <code>main()</code> method</html>

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

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

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@ -1,97 +0,0 @@
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;
}
}

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@ -1,24 +0,0 @@
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]));
}
}
}
}

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@ -1,182 +0,0 @@
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];
}
}
}