/// <summary>
/// The calculate method.
/// </summary>
/// <param name="message">
/// The message.
/// </param>
/// <param name="numEcc">
/// The number of <c>ecc</c> codes.
/// </param>
/// <returns>
/// The <see cref="byte"/> array.
/// </returns>
public byte[] Calculate(Poly message, int numEcc)
{
// Get message poly coefficients
int[] messageCoefficients = new int[message.Terms.Length];
for (int i = 0; i < message.Terms.Length; i++)
{
messageCoefficients[i] = message.Terms[i].Coefficient;
}
// Convert message poly coefficients into Galois Field (get a coefficients from numbers)
QrGaloisFieldPoly info = new QrGaloisFieldPoly(this.field, messageCoefficients);
// Increase level of the poly by number of ECC
info = info.MultiplyByMonomial(numEcc, 1);
// Get generator poly
QrGaloisFieldPoly generatorPoly = this.BuildGeneratorPolynomial(numEcc);
// Divite by generator poly
QrGaloisFieldPoly remainder = info.Divide(generatorPoly)[1];
// Return remainder coefficients in bytes
int[] coefficients = remainder.GetCoefficients();
byte[] eccCodes = new byte[coefficients.Length];
for (int i = 0; i < coefficients.Length; i++)
{
eccCodes[i] = Convert.ToByte(coefficients[i]);
}
return eccCodes;
}
/// <summary>
/// this will Create a new Poly by the Value of 1 and Plus it to the First Poly.
/// </summary>
/// <param name="p1">Polynomial expression to increase</param>
/// <returns>Increased polynomial expression</returns>
public static Poly operator ++(Poly p1)
{
Poly p2 = new Poly("1");
p1 = p1 + p2;
return(p1);
}
/// <summary>
/// Initializes a new instance of the <see cref="Poly"/> class.
/// Constructor which creates new instance of poly from existing poly.
/// Meant for copying polys.
/// </summary>
/// <param name="p">
/// Polynomial instance
/// </param>
public Poly(Poly p)
{
this.terms = new TermCollection();
for (int i = 0; i < p.Terms.Length; i++)
{
Term t = new Term(p.Terms[i].Power, p.Terms[i].Coefficient);
this.terms.Add(t);
}
}
/// <summary>
/// Initializes a new instance of the <see cref="Poly"/> class.
/// Constructor which creates new instance of poly from existing poly.
/// Meant for copying polys.
/// </summary>
/// <param name="p">
/// Polynomial instance
/// </param>
public Poly(Poly p)
{
this.terms = new TermCollection();
for (int i = 0; i < p.Terms.Length; i++)
{
Term t = new Term(p.Terms[i].Power, p.Terms[i].Coefficient);
this.terms.Add(t);
}
}
/// <summary>
/// Plus Operator:
/// Add Method of TermsCollection will Check the Power of each Term And if it's already
/// exists in the Collection Just Plus the Coefficient of the Term and This Mean Plus Operation.
/// So We Simply Add the Terms of Second Poly to the First one.
/// </summary>
/// <param name="p1">Polynomial one</param>
/// <param name="p2">Polynomial two</param>
/// <returns>Sum of both polynomials</returns>
public static Poly operator +(Poly p1, Poly p2)
{
Poly result = new Poly(p1.ToString());
foreach (Term t in p2.Terms)
{
result.Terms.Add(t);
}
return(result);
}
/// <summary>
/// Minus Operation: Like Plus Operation but at first we just Make the Second Poly to the Negative Value.
/// </summary>
/// <param name="p1">Polynomial one</param>
/// <param name="p2">Polynomial two</param>
/// <returns>Subtracted polynomial expression</returns>
public static Poly operator -(Poly p1, Poly p2)
{
Poly result = new Poly(p1.ToString());
Poly negetiveP2 = new Poly(p2.ToString());
foreach (Term t in negetiveP2.Terms)
{
t.Coefficient *= -1;
}
return(result + negetiveP2);
}
/// <summary>
/// Division operator
/// </summary>
/// <param name="p1">Polynomial one</param>
/// <param name="p2">Polynomial two</param>
/// <returns>Divided polynomial</returns>
public static Poly operator /(Poly p1, Poly p2)
{
p1.Terms.Sort(TermCollection.SortType.Des);
p2.Terms.Sort(TermCollection.SortType.Des);
TermCollection resultTerms = new TermCollection();
if (p1.Terms[0].Power < p2.Terms[0].Power)
{
throw new Exception("Invalid Division: P1.MaxPower is Lower than P2.MaxPower");
}
while (p1.Terms[0].Power > p2.Terms[0].Power)
{
Term nextResult = new Term(
p1.Terms[0].Power - p2.Terms[0].Power, p1.Terms[0].Coefficient / p2.Terms[0].Coefficient);
resultTerms.Add(nextResult);
Poly tempPoly = nextResult;
Poly newPoly = tempPoly * p2;
p1 = p1 - newPoly;
}
return(new Poly(resultTerms));
}
/// <summary>
/// The process.
/// </summary>
/// <exception cref="ArgumentException">
/// Throws argument exception if wrong type or version are selected
/// </exception>
/// <exception cref="Exception">
/// Throws exception if text is too long for the matrix
/// </exception>
private void Process()
{
// Preprocess
// -> one of the parameters was not set, simple mode
// -> create structure of QR Image
this.ChooseVersions();
if (this.debugData != null)
{
this.img = new QrImage(this.version, this.mask, this.breakPoint);
this.debugData.Append(this.img.GetDebugData());
}
else
{
this.img = new QrImage(this.version, this.mask);
}
if ((this.breakPoint == QrBreakPoint.CreatedMatrix) && (this.debugData != null))
{
this.debugData.Append("------- Breakpoint reached: Step 1 -------");
return;
}
// Step one - sending type to output
if (this.debugData != null)
{
this.debugData.Append(
"------------------ Step 1 ------------------\n- Sending type bits (4) to output ...\n");
}
switch (this.type)
{
case QrType.Numeric:
this.output.Enqueue(false);
this.output.Enqueue(false);
this.output.Enqueue(false);
this.output.Enqueue(true);
break;
case QrType.AlphaNumeric:
this.output.Enqueue(false);
this.output.Enqueue(false);
this.output.Enqueue(true);
this.output.Enqueue(false);
break;
case QrType.Binary:
this.output.Enqueue(false);
this.output.Enqueue(true);
this.output.Enqueue(false);
this.output.Enqueue(false);
break;
case QrType.Japanese:
this.output.Enqueue(true);
this.output.Enqueue(false);
this.output.Enqueue(false);
this.output.Enqueue(false);
break;
default:
throw new ArgumentException("Wrong QRType selected.");
}
if (this.debugData != null)
{
this.debugData.Append(
"- Sent 4 bytes of output: " + BinaryExtensions.BinaryToString(this.output) + "\n\n");
}
if ((this.breakPoint == QrBreakPoint.OutputTypeBits) && (this.debugData != null))
{
this.debugData.Append("------- Breakpoint reached: Step 2 -------");
return;
}
// Step two - write length of string
if (this.debugData != null)
{
this.debugData.Append(
"------------------ Step 2 ------------------\n- Calculating bit size for data length ...\n");
}
byte strLength;
if ((this.version.Version >= 1) && (this.version.Version <= 9))
{
switch (this.type)
{
case QrType.Numeric:
strLength = 10;
break;
case QrType.AlphaNumeric:
strLength = 9;
break;
case QrType.Binary:
strLength = 8;
break;
case QrType.Japanese:
strLength = 8;
break;
default:
strLength = 0;
break;
}
}
else if ((this.version.Version >= 10) && (this.version.Version <= 26))
{
switch (this.type)
{
case QrType.Numeric:
strLength = 12;
break;
case QrType.AlphaNumeric:
strLength = 11;
break;
case QrType.Binary:
strLength = 16;
break;
case QrType.Japanese:
strLength = 10;
break;
default:
strLength = 0;
break;
}
}
else if ((this.version.Version >= 27) && (this.version.Version <= 40))
{
switch (this.type)
{
case QrType.Numeric:
strLength = 14;
break;
case QrType.AlphaNumeric:
strLength = 13;
break;
case QrType.Binary:
strLength = 16;
break;
case QrType.Japanese:
strLength = 12;
break;
default:
strLength = 0;
break;
}
}
else
{
throw new ArgumentException("Wrong QRVersion selected.");
}
if (this.debugData != null)
{
this.debugData.Append(
"- QR Type: " + this.type + ", QR Version: " + this.version.Version + ", Bit size: " + strLength
+ " bits.\n");
}
// Write length to output
int length = this.text.Length;
this.ToOutput(BinaryExtensions.DecToBin(length, strLength));
if (this.debugData != null)
{
this.debugData.Append(
"- Stored data length to output: "
+ BinaryExtensions.BinaryToString(BinaryExtensions.DecToBin(length, strLength)) + "\n");
this.debugData.Append(
"- Data stored in output: " + BinaryExtensions.BinaryToString(this.output) + "\n\n");
}
if ((this.breakPoint == QrBreakPoint.OutputDataLength) && (this.debugData != null))
{
this.debugData.Append("------- Breakpoint reached: Step 3 -------");
return;
}
// Step 3 - encoding entry text
if (this.debugData != null)
{
this.debugData.Append(
"------------------ Step 3 ------------------\n- Creating code table for input ...\n");
}
QrCodeTable table = new QrCodeTable(this.type);
if (this.debugData != null)
{
this.debugData.Append("- Checking for odd input length.\n");
}
// Odd text length handling
if (length % 2 == 1)
{
if (this.debugData != null)
{
this.debugData.Append(" - Text length is odd, reducing size for one character.\n");
}
length = length - 1;
}
if (this.debugData != null)
{
this.debugData.Append("- Writing characters ...\n");
}
for (int i = 0; i < length; i += 2)
{
// Get number
int calc = (table.GetCharCount() * table.GetCodeByChar(this.text[i]))
+ table.GetCodeByChar(this.text[i + 1]);
if (this.debugData != null)
{
this.debugData.Append(
" - Characters: " + this.text[i] + ", " + this.text[i + 1] + ": (" + table.GetCharCount()
+ " * " + table.GetCodeByChar(this.text[i]) + ") + " + table.GetCodeByChar(this.text[i + 1])
+ " = " + calc + "\n");
}
// Write number, why 11 bits for each sign?????
// Experimental: strLength as calculated for size.
this.ToOutput(BinaryExtensions.DecToBin(calc, 11));
}
// Handling last 6 bits for odd length
if (this.text.Length % 2 == 1)
{
if (this.debugData != null)
{
this.debugData.Append(
"- Writing last (odd) character " + this.text[this.text.Length - 1] + " with " + 6 + " bits: "
+ table.GetCodeByChar(this.text[this.text.Length - 1]) + "\n");
}
this.ToOutput(BinaryExtensions.DecToBin(table.GetCodeByChar(this.text[this.text.Length - 1]), 6));
}
if (this.debugData != null)
{
this.debugData.Append("- Input successfully encoded to binary.\n\n");
}
if ((this.breakPoint == QrBreakPoint.EncodedDataToBinary) && (this.debugData != null))
{
this.debugData.Append("------- Breakpoint reached: Step 4 -------");
return;
}
// Step 4 - finishing binary string
if (this.debugData != null)
{
this.debugData.Append("------------------ Step 4 ------------------\n- Finishing binary string ...\n");
}
// Calculate maximum bit length
int maxBits = this.version.DataSize * 8;
if (this.debugData != null)
{
this.debugData.Append(
"- Maximum bits for current version: " + maxBits + " current bits: " + this.output.Count + "\n");
}
// Add zeros to end of bit string, if we are missing them
int bitOverflow = 0;
while (this.output.Count < maxBits)
{
this.output.Enqueue(false);
bitOverflow++;
if (bitOverflow >= 4)
{
break;
}
}
if (this.debugData != null)
{
this.debugData.Append(
"- Added " + bitOverflow + " bits to binary output. Total: " + this.output.Count + " bits.\n\n");
}
if ((this.breakPoint == QrBreakPoint.FinishedBinary) && (this.debugData != null))
{
this.debugData.Append("------- Breakpoint reached: Step 5 -------");
return;
}
// Step 5 - breaking the bit string into bytes
if (this.debugData != null)
{
this.debugData.Append(
"------------------ Step 5 ------------------\n- Dividing bits into bytes (8 bits per byte) ...\n");
this.debugData.Append("- Current output size: " + this.output.Count + " bits\n");
}
// For now we will just make sure it is divided by 8, we will not convert to bytes unless required.
while (this.output.Count % 8 != 0)
{
this.output.Enqueue(false);
}
if (this.debugData != null)
{
this.debugData.Append(
"- Added zeros to output, current size: " + this.output.Count + " bits, "
+ (this.output.Count / 8) + " bytes.\n\n");
}
if ((this.breakPoint == QrBreakPoint.BrokenBinary) && (this.debugData != null))
{
this.debugData.Append("------- Breakpoint reached: Step 6 -------");
return;
}
// Step 6 - inserting characters
if (this.debugData != null)
{
this.debugData.Append(
"------------------ Step 6 ------------------\n- Inserting characters to fill missing data string ...\n");
}
// If we have too many bits
if ((this.output.Count / 8) > this.version.DataSize)
{
throw new Exception("Text is too long for current matrix.");
}
// If we have less or exact number of bits
List<bool> defaultBlock1 = BinaryExtensions.DecToBin(236, 8);
List<bool> defaultBlock2 = BinaryExtensions.DecToBin(17, 8);
// Fill matrix until it is full as specified in version
int fillCount = 0;
if (this.debugData != null)
{
this.debugData.Append(
"- Current output size: " + (this.output.Count / 8) + ", missing: "
+ (this.version.DataSize - (this.output.Count / 8)) + " bytes.\n");
this.debugData.Append("- Added bytes: ");
}
while ((this.output.Count / 8) < this.version.DataSize)
{
if ((fillCount % 2) == 0)
{
if (this.debugData != null)
{
this.debugData.Append("236, ");
}
this.ToOutput(defaultBlock1);
}
else
{
if (this.debugData != null)
{
this.debugData.Append("17, ");
}
this.ToOutput(defaultBlock2);
}
fillCount++;
}
if (this.debugData != null)
{
this.debugData.Append(
"\n- Output size filled to match data size: " + (this.output.Count / 8) + "/"
+ this.version.DataSize + " bytes\n\n");
}
if ((this.breakPoint == QrBreakPoint.MissingBytes) && (this.debugData != null))
{
this.debugData.Append("------- Breakpoint reached: Step 7 -------");
return;
}
// Step 7 - generating error code correction (ECC) by Reed-Solomon procedure
// Convert bits from output to byte array
byte[] bytes = BinaryExtensions.BitArrayToByteArray(new BitArray(this.output.ToArray()));
if (this.debugData != null)
{
this.debugData.Append(
"------------------ Step 7 ------------------\n- Calculating error code correction ...\n");
this.debugData.Append(
"- Dividing data words into blocks: " + this.version.GetBlockCount() + " total.\n");
this.debugData.Append("- Creating message polynomial for each block ...\n");
}
// Divide bytes into blocks
QrBlock[] blocks = new QrBlock[this.version.GetBlockCount()];
for (int x = 0; x < this.version.GetBlockCount(); x++)
{
// Creating message polynominal system (F(x)) for current block
// Calculate block length and starting position
int blockLength;
int blockStart;
if (x >= this.version.BlockOneCount)
{
blockLength = this.version.BlockTwoSize;
blockStart = (this.version.BlockOneSize * this.version.BlockOneCount)
+ ((x - this.version.BlockOneCount) * this.version.BlockTwoSize);
}
else
{
blockLength = this.version.BlockOneSize;
blockStart = this.version.BlockOneSize * x;
}
if (this.debugData != null)
{
this.debugData.Append(
"----------------------------------\n- Block " + (x + 1) + ", data from: " + blockStart
+ ", length: " + blockLength + "\n- Message polynomial:\n\n");
}
Poly message = new Poly();
int messageLevel = this.version.BlockOneSize
+ (this.version.ErrorSize / this.version.GetBlockCount()) - 1;
for (int i = 0; i < blockLength; i++)
{
if (this.debugData != null)
{
this.debugData.Append("(" + bytes[i + blockStart] + "x ^ " + messageLevel + ")");
if (i != blockLength - 1)
{
this.debugData.Append(" + ");
}
}
Term ter = new Term(messageLevel, bytes[i + blockStart]);
message.Terms.Add(ter);
messageLevel--;
}
if (this.debugData != null)
{
this.debugData.Append(
"\n\n- Calculating "
+ ((int)Math.Floor(this.version.ErrorSize / (double)this.version.GetBlockCount()))
+ " error codes using Reed-Solomon algorithm.\n");
}
// Calculate Error codes of desired block
blocks[x] = new QrBlock { MessagePoly = new Poly(message) };
// Create Reed Solomon algorithm class
QrReedSolomon ecc = new QrReedSolomon();
// Experimental bugfix: rounding the result, so we can choose correct ECC
blocks[x].EccCoefficients = ecc.Calculate(
message, (int)Math.Floor(this.version.ErrorSize / (double)this.version.GetBlockCount()));
if (this.debugData != null)
{
this.debugData.Append(
"- Calculated error codes: " + BinaryExtensions.ArrayToString(blocks[x].EccCoefficients)
+ "\n\n");
}
}
// Write error codes to bit stream
// Clear current output
this.output.Clear();
// Writing data bits
if (this.debugData != null)
{
this.debugData.Append("- Writing data bits into output:\n- ");
}
// Blocks might not be the same size...
for (int i = 0; i < Math.Max(this.version.BlockOneSize, this.version.BlockTwoSize); i++)
{
foreach (QrBlock t in blocks)
{
if (i < t.MessagePoly.Terms.Length)
{
this.ToOutput(BinaryExtensions.DecToBin(t.MessagePoly.Terms[i].Coefficient, 8));
if (this.debugData != null)
{
this.debugData.Append(t.MessagePoly.Terms[i].Coefficient + ", ");
}
}
}
}
if (this.debugData != null)
{
this.debugData.Append("\n\n- Writing ECC bits to output:\n- ");
}
// Writting ECC bits
for (int i = 0; i < blocks[0].EccCoefficients.Length; i++)
{
if (i == 17)
{
if (this.debugData != null)
{
this.debugData.Append(",");
}
}
foreach (QrBlock t in blocks)
{
this.ToOutput(BinaryExtensions.DecToBin(t.EccCoefficients[i], 8));
if (this.debugData != null)
{
this.debugData.Append(t.EccCoefficients[i] + ", ");
}
}
}
if (this.debugData != null)
{
this.debugData.Append("\n\n");
}
// Step 8, 9, 10 - Handled by QRImage class
if ((this.breakPoint == QrBreakPoint.ErrorCode) && (this.debugData != null))
{
this.debugData.Append("------- Breakpoint reached: Step 8 -------");
return;
}
this.img.CreateImage(this.output);
if (this.debugData != null)
{
this.debugData.Append(this.img.GetDebugData());
}
}
/// <summary>
/// this will Create a new Poly by the Value of -1 and Plus it to the First Poly.
/// </summary>
/// <param name="p1">Polynomial expression</param>
/// <returns>Decreased polynomial by 1</returns>
public static Poly operator --(Poly p1)
{
Poly p2 = new Poly("-1");
p1 = p1 + p2;
return p1;
}
/// <summary>
/// Minus Operation: Like Plus Operation but at first we just Make the Second Poly to the Negative Value.
/// </summary>
/// <param name="p1">Polynomial one</param>
/// <param name="p2">Polynomial two</param>
/// <returns>Subtracted polynomial expression</returns>
public static Poly operator -(Poly p1, Poly p2)
{
Poly result = new Poly(p1.ToString());
Poly negetiveP2 = new Poly(p2.ToString());
foreach (Term t in negetiveP2.Terms)
{
t.Coefficient *= -1;
}
return result + negetiveP2;
}
/// <summary>
/// Plus Operator:
/// Add Method of TermsCollection will Check the Power of each Term And if it's already
/// exists in the Collection Just Plus the Coefficient of the Term and This Mean Plus Operation.
/// So We Simply Add the Terms of Second Poly to the First one.
/// </summary>
/// <param name="p1">Polynomial one</param>
/// <param name="p2">Polynomial two</param>
/// <returns>Sum of both polynomials</returns>
public static Poly operator +(Poly p1, Poly p2)
{
Poly result = new Poly(p1.ToString());
foreach (Term t in p2.Terms)
{
result.Terms.Add(t);
}
return result;
}
