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16 Commits

Author SHA1 Message Date
Hubert Tylkowski
cc5a883982 Added Polynomial class and basic math operations 2018-06-29 12:30:53 +02:00
Hubert Tylkowski
0cbe06592f read input 2018-06-27 19:53:21 +02:00
Hubert Tylkowski
2e16ad8b73 valid FCS output 2018-06-27 19:25:52 +02:00
Hubert Tylkowski
a29f8b6947 delete .swp file 2018-06-27 19:20:25 +02:00
Hubert Tylkowski
4566e31834 fcs visible on output 2018-06-27 19:18:40 +02:00
Hubert Tylkowski
d267883d76 added jar file 2018-06-25 19:47:58 +02:00
Hubert Tylkowski
2354df2ae0 jar built 2018-06-25 19:23:22 +02:00
Hubert Tylkowski
59a44d5026 jar built 2018-06-25 19:20:15 +02:00
Hubert Tylkowski
cdb246b734 charset update 2 2018-06-20 15:15:46 +02:00
Hubert Tylkowski
841b8b4590 charset update 2018-06-20 11:45:59 +02:00
Hubert Tylkowski
744f9793c5 small code refactor 2018-06-20 01:13:23 +02:00
Hubert Tylkowski
446d5f2306 decode added! 2018-06-20 01:06:07 +02:00
Hubert Tylkowski
84c7c81153 encode added! 2018-06-20 00:30:21 +02:00
Hubert Tylkowski
59cc5a61df poly generating & swapping 2018-06-19 00:45:51 +02:00
Hubert Tylkowski
966b225ba8 project started 2018-06-19 00:04:34 +02:00
Hubert Tylkowski
4c976710f9 Zadanie 02 2018-06-09 14:04:27 +02:00
28 changed files with 1092 additions and 0 deletions

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public class DivisionErrorException extends Throwable {
public DivisionErrorException() {
System.out.println("Division error!");
}
}

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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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public class MultiplierNotFoundException extends Throwable {
public MultiplierNotFoundException() {
System.out.println("DivisionError");
}
}

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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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<html>Simple <b>Java</b> application that includes a class with <code>main()</code> method</html>

12
Zadanie-03/.idea/misc.xml Normal file
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12
Zadanie-03/Zadanie-03.iml Normal file
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<?xml version="1.0" encoding="UTF-8"?>
<module type="JAVA_MODULE" version="4">
<component name="NewModuleRootManager" inherit-compiler-output="true">
<exclude-output />
<content url="file://$MODULE_DIR$">
<sourceFolder url="file://$MODULE_DIR$/src" isTestSource="false" />
</content>
<orderEntry type="inheritedJdk" />
<orderEntry type="sourceFolder" forTests="false" />
</component>
</module>

Binary file not shown.

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

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

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@ -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();
}
}

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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]));
}
}
}

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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])));
}
}

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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 +
'}';
}
}

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package com.tylkowski.ilorazy;
public class QuotientRingTask {
private Polynomial polynomial;
public QuotientRingTask(Polynomial poly) {
}
}