softlandia
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hem0
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Код Задачи Пакеты Проекты Релизы Вики Активность

v0.0.0

This commit is contained in:
softlandia 2019-12-02 22:09:33 +04:00
Коммит 35d48da8de
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27
.vscode/launch.json поставляемый Normal file
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{
// Use IntelliSense to find out which attributes exist for C# debugging
// Use hover for the description of the existing attributes
// For further information visit https://github.com/OmniSharp/omnisharp-vscode/blob/master/debugger-launchjson.md
"version": "0.2.0",
"configurations": [
{
"name": ".NET Core Launch (console)",
"type": "coreclr",
"request": "launch",
"preLaunchTask": "build",
// If you have changed target frameworks, make sure to update the program path.
"program": "${workspaceFolder}/bin/Debug/netcoreapp2.1/hem0.dll",
"args": [],
"cwd": "${workspaceFolder}",
// For more information about the 'console' field, see https://aka.ms/VSCode-CS-LaunchJson-Console
"console": "internalConsole",
"stopAtEntry": false
},
{
"name": ".NET Core Attach",
"type": "coreclr",
"request": "attach",
"processId": "${command:pickProcess}"
}
]
}

42
.vscode/tasks.json поставляемый Normal file
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{
"version": "2.0.0",
"tasks": [
{
"label": "build",
"command": "dotnet",
"type": "process",
"args": [
"build",
"${workspaceFolder}/hem0.csproj",
"/property:GenerateFullPaths=true",
"/consoleloggerparameters:NoSummary"
],
"problemMatcher": "$msCompile"
},
{
"label": "publish",
"command": "dotnet",
"type": "process",
"args": [
"publish",
"${workspaceFolder}/hem0.csproj",
"/property:GenerateFullPaths=true",
"/consoleloggerparameters:NoSummary"
],
"problemMatcher": "$msCompile"
},
{
"label": "watch",
"command": "dotnet",
"type": "process",
"args": [
"watch",
"run",
"${workspaceFolder}/hem0.csproj",
"/property:GenerateFullPaths=true",
"/consoleloggerparameters:NoSummary"
],
"problemMatcher": "$msCompile"
}
]
}

402
Program.cs Normal file
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using System;
using System.Collections;
namespace hem0
{
class Program
{
static void Main(string[] args)
{
Console.WriteLine("hem encode start");
Console.Write("введите сигнал:\t\t");
string inputMsg = Console.ReadLine();
//string inputMsg = "101";
int n = inputMsg.Length;
if ((n < 2) || (n > 10)) {
Console.WriteLine("количесво бит в сообщении должно быть от 3 до 10.");
Environment.Exit(0);
}
// объект класса Hem обеспечивает кодирование/декодирование, проверку сообщений
// в нём хранятся матрицы соответствующие данной длине сообщения
Hem hem = new Hem(n);
//отладочный вывод матриц
{
/*Console.WriteLine("G");
hem.PrintG();
Console.WriteLine("H");
hem.PrintH();
Console.WriteLine("Ht");
hem.PrintHt();*/
}
int[] a = Hem.StrToBits(inputMsg);
int[] b = hem.encode(a);
Console.WriteLine("закодированный сигнал:\t" + Hem.BitsToStr(b));
Console.Write("исправьте сигнал:\t");
b = Hem.StrToBits(Console.ReadLine());
//b = Hem.StrToBits("001101");
//sindrom() возвращает битовый массив ошибки
//результат нужно проверять на null - это признак внутренней ошибки
int[] sind = hem.sindrom(b);
Console.WriteLine("синдром:\t\t" + Hem.BitsToStr(sind));
int e = Hem.BitsToInt(sind);
if (e == 0) {
Console.WriteLine("ошибка отсутствует:\t" + e);
} else {
//если ошибка есть, то надо ковырять
//ищем в генерирующей таблице G строку в которой контрольные биты совпадают с синдромом
e = hem.errorPos(sind);
if (e >= 0) {
Console.WriteLine("позиция ошибки:\t\t" + e);
b = hem.fix(b, e);
} else {
Console.WriteLine("сигнал получен верный, ошибочно передан один из битов коррекции");
}
}
int[] B = hem.signal(b);
Console.WriteLine("правильный сигнал:\t" + Hem.BitsToStr(B));
}
}
class Hem
{
public static int changeBit(int i) {
if (i == 0) {
return 1;
} else {
return 0;
}
}
//последний бит у чётного числа 0, а у нечётного 1
private static bool isEven(int a) {
return (a & 1) == 0;
}
//умножение вектора на матрицу
//строка на столбец
public static int[] multVectToMatrix(int[,] m, int[] v) {
int rows = m.GetUpperBound(0) + 1;
int cols = m.GetUpperBound(1) + 1;
if (rows != v.Length) {
return null;
}
int[] c = new int[cols];
for (int i = 0; i < cols; i++) {
c[i] = 0;
for (int j = 0; j < rows; j++) {
c[i] = c[i] + m[j,i] * v[j];
}
//чётные преобразуем в 0, а нечётные в 1
if (c[i] > 1) {
if (isEven(c[i])) {
c[i] = 0;
} else {
c[i] = 1;
}
}
}
return c;
}
//преобразование массива бит в целое число
//из двоичного представления синдром преобразуем в целое число -- позицию
public static int BitsToInt(int[] s) {
int t = 0;
for (int i = 0; i < s.Length; i++){
t += s[i] * (int) Math.Pow(2, s.Length - 1 - i);
}
return t;
}
//битовый массив в строку
public static string BitsToStr(int[] bits) {
string s = "";
int i = 0;
foreach (int b in bits) {
if (b == 0) {
s += '0';
} else {
s += '1';
}
i++;
}
return s;
}
//строку в битовый массив
public static int[] StrToBits(string s) {
int n = s.Length;
int[] t = new int[n];
char[] CH = s.ToCharArray();
int i = 0;
foreach (char ch in CH) {
if (ch == '0') {
t[i] = 0;
} else {
t[i] = 1;
}
i++;
}
return t;
}
//errorPos - возвращает позицию ошибочного бита
//если позиция не найдена (return -1), значит синдром отражает некорректно полученный бит коррекции, но это не страшно, сигнал получен правильный
public int errorPos(int[] s) {
//проходим только по битам коррекции, они начинаются в матрице G с позиции k
//сравниваем биты коррекции из G с s
int sum;
for (int j = 0; j < k; j++) { //проход по строкам матрицы G
sum = 0;
for (int i = k; i < n; i++) { //проход по столбцам матрицы G
if (G[j,i] != s[i]) {
sum++;
}
}
if (sum == 0) {
//строка в матрице G совпала с синдромом
return j;
}
}
return -1;
}
//если ошибка позиции в информационных битах, то исправляет информационный бит
//входной параметр e - позиция ошибки должна быть от 0 до k-1,
//начиная с позиции k идут биты коррекции, их не правим, возвращает входной параметр
public int[] fix(int[] b, int e) {
if (e >= k) {
return b;
}
int[] t = new int[b.Length];
for (int i = 0; i < b.Length; i++) {
if (i == e) {
t[i] = changeBit(b[i]);
} else {
t[i] = b[i];
}
}
return t;
}
//возвращает битовый массив из информационных битов
public int[] signal(int[] b) {
int[] r = new int[k];
for (int i = 0; i < k; i++) {
r[i] = b[i];
}
return r;
}
//кодируем кодом хэмминга битовый массив в новый битовый массив
public int[] encode(int[] a) {
return multVectToMatrix(G, a);
}
//сложение по модулю 2 двух битовых последовательностей
//размер конечно должен быть одинаковый
public int[] xorVectVect(int[] a, int[] b) {
if (a == null) {
Console.WriteLine("PANIC! <xorVectVect(a,b)> input parameter a is null");
return null;
}
if (b == null) {
Console.WriteLine("PANIC! <xorVectVect(a,b)> input parameter b is null");
return null;
}
if (a.Length != b.Length) {
return null;
}
int[] sum = new int[a.Length];
for (int i = 0; i < a.Length; i++) {
if (Hem.isEven(a[i]+b[i])) {
sum[i] = 0;
} else {
sum[i] = 1;
}
}
return sum;
}
//sindrom() - расчёт битового массива ошибки
//если сигнал пришёл без ошибки, то код хэмминга от информационных битов получится как пришедший, синдром будет 0
//пусть
//B - пришедший сигнал с ошибкой (в примере из методички B=1111001)
//берём от пришедшего сигнала значищие биты (первые k=4, это 1111)
//вычисляем по ним код хэмминга, получаем b=1111111
//сравниваем с пришедшим сигналом (B xor b) = 0000110 - отличен от 0,
//первые k бит соответствующие информационным ВСЕГДА будут 0, потому что код хэмминга в этих позицыях сохраняет исходный сигнал,
//в генерирующей матрице сначала идён диагональная единичная матрица - умножая на неё первые k бит не изменяются
//у нас получились биты коррекции 110, в генерирующей матрице это вторая строка - значит второй с лева бит сигнала
public int[] sindrom(int[] a) {
int[] b = new int[k];
//выделяем в b только информационные биты (первые k)
for (int i = 0; i < k; i++) {
b[i] = a[i];
}
int[] s = multVectToMatrix(G, b);
return xorVectVect(a, s);
}
int k;
int r;
int n;
public int[,] G;
int[,] H;
int[,] Ht;
//numBit must be great then 0
public Hem(int numBits)
{
switch (numBits) {
case 3:
k = 3;
r = 3;
n = 6;
G = G3;
H = H3;
Ht = Ht3;
break;
case 4:
k = 4;
r = 3;
n = 7;
G = G4;
H = H4;
Ht = Ht4;
break;
case 5:
k = 5;
r = 4;
n = 9;
G = G5;
H = H5;
Ht = Ht5;
break;
default:
k = numBits;
r = (int)Math.Ceiling(Math.Log(k + 1 + Math.Ceiling(Math.Log(k + 1, 2)), 2));
n = k + r;
G = makeG(k, n);
H = new int[r, n];
Ht = new int[n, r];
break;
}
}
int[,] makeG(int k, int n) {
int[,] g = new int[k, n];
for (int i = 0; i < k; i++)
{
for (int j = 0; j < n; j++)
{
g[i,j] = 1;
}
}
return g;
}
public void PrintG() {
int rows = G.GetUpperBound(0) + 1;
int cols = G.GetUpperBound(1) + 1;
for (int i = 0; i < rows; i++)
{
for (int j = 0; j < cols; j++)
{
Console.Write("{0:D} ", G[i,j]);
}
Console.WriteLine();
}
}
public void PrintH() {
int rows = H.GetUpperBound(0) + 1;
int cols = H.GetUpperBound(1) + 1;
for (int i = 0; i < rows; i++)
{
for (int j = 0; j < cols; j++)
{
Console.Write("{0:D} ", H[i, j]);
}
Console.WriteLine();
}
}
public void PrintHt() {
int rows = Ht.GetUpperBound(0) + 1;
int cols = Ht.GetUpperBound(1) + 1;
for (int i = 0; i < rows; i++)
{
for (int j = 0; j < cols; j++)
{
Console.Write("{0:D} ", Ht[i, j]);
}
Console.WriteLine();
}
}
//матрицы для 3 битовой последовательности
//генерирующая таблица для 3 битовой последовательности
public static int[,] G3 = { {1, 0, 0, 1, 1, 0},
{0, 1, 0, 1, 0, 1},
{0, 0, 1, 0, 1, 1}};
//проверочная таблица для 3 битовой последовательности
public static int[,] H3 = { {1, 1, 0, 1, 0, 0},
{1, 0, 1, 0, 1, 0},
{0, 1, 1, 0, 0, 1}};
//транспонированая проверочная
public static int[,] Ht3 = {{1, 1, 0},
{1, 0, 1},
{0, 1, 1},
{1, 0, 0},
{0, 1, 0},
{0, 0, 1}};
//матрицы для 4 битовой последовательности
//генерирующая таблица
public static int[,] G4 = { {1, 0, 0, 0, 1, 1, 1},
{0, 1, 0, 0, 1, 1, 0},
{0, 0, 1, 0, 1, 0, 1},
{0, 0, 0, 1, 0, 1, 1}};
//проверочная таблица
public static int[,] H4 = { {1, 1, 1, 0, 1, 0, 0},
{1, 1, 0, 1, 0, 1, 0},
{1, 0, 1, 1, 0, 0, 1}};
//транспонированая проверочная
public static int[,] Ht4 = {{1, 1, 1},
{1, 1, 0},
{1, 0, 1},
{0, 1, 1},
{1, 0, 0},
{0, 1, 0},
{0, 0, 1}};
//матрицы для 5 битовой последовательности
//генерирующая таблица
public static int[,] G5 = { {1, 0, 0, 0, 0, 1, 0, 0, 1},
{0, 1, 0, 0, 0, 0, 1, 1, 1},
{0, 0, 1, 0, 0, 0, 1, 1, 0},
{0, 0, 0, 1, 0, 0, 1, 0, 1},
{0, 0, 0, 0, 1, 0, 0, 1, 1}};
//проверочная таблица
public static int[,] H5 = { {1, 0, 0, 0, 0, 1, 0, 0, 0},
{0, 1, 1, 1, 0, 0, 1, 0, 0},
{0, 1, 1, 0, 1, 0, 0, 1, 0},
{1, 1, 0, 1, 1, 0, 0, 0, 1}};
//транспонированая проверочная
public static int[,] Ht5 = {{1, 0, 0, 1},
{0, 1, 1, 1},
{0, 1, 1, 0},
{0, 1, 0, 1},
{0, 0, 1, 1},
{1, 0, 0, 0},
{0, 1, 0, 0},
{0, 0, 1, 0},
{0, 0, 0, 1}};
}
}

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bin/Debug/netcoreapp2.1/hem0.deps.json Normal file
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bin/Debug/netcoreapp2.1/hem0.runtimeconfig.json Normal file
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hem0.csproj Normal file
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<Project Sdk="Microsoft.NET.Sdk">
<PropertyGroup>
<OutputType>Exe</OutputType>
<TargetFramework>netcoreapp2.1</TargetFramework>
</PropertyGroup>
</Project>

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obj/Debug/netcoreapp2.1/hem0.AssemblyInfo.cs Normal file
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//------------------------------------------------------------------------------
// <auto-generated>
// Этот код создан программой.
// Исполняемая версия:4.0.30319.42000
//
// Изменения в этом файле могут привести к неправильной работе и будут потеряны в случае
// повторной генерации кода.
// </auto-generated>
//------------------------------------------------------------------------------
using System;
using System.Reflection;
[assembly: System.Reflection.AssemblyCompanyAttribute("hem0")]
[assembly: System.Reflection.AssemblyConfigurationAttribute("Debug")]
[assembly: System.Reflection.AssemblyFileVersionAttribute("1.0.0.0")]
[assembly: System.Reflection.AssemblyInformationalVersionAttribute("1.0.0")]
[assembly: System.Reflection.AssemblyProductAttribute("hem0")]
[assembly: System.Reflection.AssemblyTitleAttribute("hem0")]
[assembly: System.Reflection.AssemblyVersionAttribute("1.0.0.0")]
// Generated by the MSBuild WriteCodeFragment class.

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