/// <param name="field">
/// the
/// <see cref="GF256"/>
/// instance representing the field to use
/// to perform computations
/// </param>
/// <param name="coefficients">
/// coefficients as ints representing elements of GF(256), arranged
/// from most significant (highest-power term) coefficient to least significant
/// </param>
internal GF256Poly(GF256 field, int[] coefficients)
{
if (coefficients == null || coefficients.Length == 0)
{
throw new ArgumentException();
}
this.field = field;
int coefficientsLength = coefficients.Length;
if (coefficientsLength > 1 && coefficients[0] == 0)
{
// Leading term must be non-zero for anything except the constant polynomial "0"
int firstNonZero = 1;
while (firstNonZero < coefficientsLength && coefficients[firstNonZero] == 0)
{
firstNonZero++;
}
if (firstNonZero == coefficientsLength)
{
this.coefficients = field.GetZero().coefficients;
}
else
{
this.coefficients = new int[coefficientsLength - firstNonZero];
Array.Copy(coefficients, firstNonZero, this.coefficients, 0, this.coefficients.Length);
}
}
else
{
this.coefficients = coefficients;
}
}
/// <summary>GF multiplication</summary>
/// <param name="other">the other GF-poly</param>
/// <returns>new GF-poly obtained by multiplying this with other</returns>
internal iText.Barcodes.Qrcode.GF256Poly Multiply(iText.Barcodes.Qrcode.GF256Poly other)
{
if (!field.Equals(other.field))
{
throw new ArgumentException("GF256Polys do not have same GF256 field");
}
if (IsZero() || other.IsZero())
{
return(field.GetZero());
}
int[] aCoefficients = this.coefficients;
int aLength = aCoefficients.Length;
int[] bCoefficients = other.coefficients;
int bLength = bCoefficients.Length;
int[] product = new int[aLength + bLength - 1];
for (int i = 0; i < aLength; i++)
{
int aCoeff = aCoefficients[i];
for (int j = 0; j < bLength; j++)
{
product[i + j] = GF256.AddOrSubtract(product[i + j], field.Multiply(aCoeff, bCoefficients[j]));
}
}
return(new iText.Barcodes.Qrcode.GF256Poly(field, product));
}
/// <returns>evaluation of this polynomial at a given point</returns>
internal int EvaluateAt(int a)
{
if (a == 0)
{
// Just return the x^0 coefficient
return(GetCoefficient(0));
}
int size = coefficients.Length;
if (a == 1)
{
// Just the sum of the coefficients
int result = 0;
for (int i = 0; i < size; i++)
{
result = GF256.AddOrSubtract(result, coefficients[i]);
}
return(result);
}
int result_1 = coefficients[0];
for (int i = 1; i < size; i++)
{
result_1 = GF256.AddOrSubtract(field.Multiply(a, result_1), coefficients[i]);
}
return(result_1);
}
/// <summary>GF addition or subtraction (they are identical for a GF(2^n)</summary>
/// <param name="other">the other GF-poly</param>
/// <returns>new GF256Poly obtained by summing this GF and other</returns>
internal iText.Barcodes.Qrcode.GF256Poly AddOrSubtract(iText.Barcodes.Qrcode.GF256Poly other)
{
if (!field.Equals(other.field))
{
throw new ArgumentException("GF256Polys do not have same GF256 field");
}
if (IsZero())
{
return(other);
}
if (other.IsZero())
{
return(this);
}
int[] smallerCoefficients = this.coefficients;
int[] largerCoefficients = other.coefficients;
if (smallerCoefficients.Length > largerCoefficients.Length)
{
int[] temp = smallerCoefficients;
smallerCoefficients = largerCoefficients;
largerCoefficients = temp;
}
int[] sumDiff = new int[largerCoefficients.Length];
int lengthDiff = largerCoefficients.Length - smallerCoefficients.Length;
// Copy high-order terms only found in higher-degree polynomial's coefficients
Array.Copy(largerCoefficients, 0, sumDiff, 0, lengthDiff);
for (int i = lengthDiff; i < largerCoefficients.Length; i++)
{
sumDiff[i] = GF256.AddOrSubtract(smallerCoefficients[i - lengthDiff], largerCoefficients[i]);
}
return(new iText.Barcodes.Qrcode.GF256Poly(field, sumDiff));
}
/// <summary>
/// Creates a SolomonEncoder object based on a
/// <see cref="GF256"/>
/// object.
/// </summary>
/// <remarks>
/// Creates a SolomonEncoder object based on a
/// <see cref="GF256"/>
/// object.
/// Only QR codes are supported at the moment.
/// </remarks>
/// <param name="field">the galois field</param>
public ReedSolomonEncoder(GF256 field)
{
if (!GF256.QR_CODE_FIELD.Equals(field))
{
throw new NotSupportedException("Only QR Code is supported at this time");
}
this.field = field;
this.cachedGenerators = new List <GF256Poly>();
cachedGenerators.Add(new GF256Poly(field, new int[] { 1 }));
}