/// <summary>
/// Construct the element of the field <c>Gf2n</c> with the specified value <c>Value</c>
/// </summary>
///
/// <param name="Gf2n">The field</param>
/// <param name="Value">The value in ONB representation</param>
private GF2nONBElement(GF2nONBField Gf2n, long[] Value)
{
m_Field = Gf2n;
m_Degree = m_Field.Degree;
m_Length = Gf2n.GetONBLength();
m_Bit = Gf2n.GetONBBit();
m_Pol = Value;
}
/// <summary>
/// Construct the element of the field <c>Gf2n</c> with the specified value <c>Value</c>
/// </summary>
///
/// <param name="Gf2n">The field</param>
/// <param name="Value">The value in ONB representation</param>
private GF2nONBElement(GF2nONBField Gf2n, long[] Value)
{
mField = Gf2n;
mDegree = mField.Degree;
_mLength = Gf2n.GetONBLength();
_mBit = Gf2n.GetONBBit();
_mPol = Value;
}
/// <summary>
/// Construct the element of the field <c>Gf2n</c> with the specified value <c>Value</c>
/// </summary>
///
/// <param name="Gf2n">The field</param>
/// <param name="Value">The value represented by a BigInteger</param>
public GF2nONBElement(GF2nONBField Gf2n, BigInteger Value)
{
m_Field = Gf2n;
m_Degree = m_Field.Degree;
m_Length = Gf2n.GetONBLength();
m_Bit = Gf2n.GetONBBit();
m_Pol = new long[m_Length];
Assign(Value);
}
/// <summary>
/// Construct a new GF2nONBElement from its encoding
/// </summary>
///
/// <param name="Gf2n">The field</param>
/// <param name="Encoded">The encoded element</param>
public GF2nONBElement(GF2nONBField Gf2n, byte[] Encoded)
{
m_Field = Gf2n;
m_Degree = m_Field.Degree;
m_Length = Gf2n.GetONBLength();
m_Bit = Gf2n.GetONBBit();
m_Pol = new long[m_Length];
Assign(Encoded);
}
/// <summary>
/// Construct the element of the field <c>Gf2n</c> with the specified value <c>Value</c>
/// </summary>
///
/// <param name="Gf2n">The field</param>
/// <param name="Value">The value represented by a BigInteger</param>
public GF2nONBElement(GF2nONBField Gf2n, BigInteger Value)
{
mField = Gf2n;
mDegree = mField.Degree;
_mLength = Gf2n.GetONBLength();
_mBit = Gf2n.GetONBBit();
_mPol = new long[_mLength];
Assign(Value);
}
/// <summary>
/// Construct a new GF2nONBElement from its encoding
/// </summary>
///
/// <param name="Gf2n">The field</param>
/// <param name="Encoded">The encoded element</param>
public GF2nONBElement(GF2nONBField Gf2n, byte[] Encoded)
{
mField = Gf2n;
mDegree = mField.Degree;
_mLength = Gf2n.GetONBLength();
_mBit = Gf2n.GetONBBit();
_mPol = new long[_mLength];
Assign(Encoded);
}
/// <summary>
/// Create the one element
/// </summary>
///
/// <param name="Gf2n">The finite field</param>
///
/// <returns>Returns the one element in the given finite field</returns>
public static GF2nONBElement One(GF2nONBField Gf2n)
{
int mLength = Gf2n.GetONBLength();
long[] polynomial = new long[mLength];
// fill m_Degree coefficients with one's
for (int i = 0; i < mLength - 1; i++)
{
polynomial[i] = unchecked ((long)0xffffffffffffffffL);
}
polynomial[mLength - 1] = _mMaxmask[Gf2n.GetONBBit() - 1];
return(new GF2nONBElement(Gf2n, polynomial));
}
/// <summary>
/// Construct a random element over the field <c>gf2n</c>, using the specified source of randomness
/// </summary>
///
/// <param name="Gf2n">The field</param>
/// <param name="SecRnd">The source of randomness</param>
public GF2nONBElement(GF2nONBField Gf2n, IRandom SecRnd)
{
m_Field = Gf2n;
m_Degree = m_Field.Degree;
m_Length = Gf2n.GetONBLength();
m_Bit = Gf2n.GetONBBit();
m_Pol = new long[m_Length];
if (m_Length > 1)
{
for (int j = 0; j < m_Length - 1; j++)
{
m_Pol[j] = SecRnd.NextLong(); //ju next long?
}
long last = SecRnd.Next();
m_Pol[m_Length - 1] = IntUtils.URShift(last, (MAXLONG - m_Bit));
}
else
{
m_Pol[0] = SecRnd.NextLong();
m_Pol[0] = IntUtils.URShift(m_Pol[0], (MAXLONG - m_Bit));
}
}
/// <summary>
/// Construct a random element over the field <c>gf2n</c>, using the specified source of randomness
/// </summary>
///
/// <param name="Gf2n">The field</param>
/// <param name="SecRnd">The source of randomness</param>
public GF2nONBElement(GF2nONBField Gf2n, IRandom SecRnd)
{
mField = Gf2n;
mDegree = mField.Degree;
_mLength = Gf2n.GetONBLength();
_mBit = Gf2n.GetONBBit();
_mPol = new long[_mLength];
if (_mLength > 1)
{
for (int j = 0; j < _mLength - 1; j++)
{
_mPol[j] = SecRnd.NextLong(); //ju next long?
}
long last = SecRnd.Next();
_mPol[_mLength - 1] = IntUtils.URShift(last, (MAXLONG - _mBit));
}
else
{
_mPol[0] = SecRnd.NextLong();
_mPol[0] = IntUtils.URShift(_mPol[0], (MAXLONG - _mBit));
}
}
/// <summary>
/// Create the zero element
/// </summary>
///
/// <param name="Gf2n">The finite field</param>
///
/// <returns>The zero element in the given finite field</returns>
public static GF2nONBElement Zero(GF2nONBField Gf2n)
{
long[] polynomial = new long[Gf2n.GetONBLength()];
return(new GF2nONBElement(Gf2n, polynomial));
}
/// <summary>
/// Create the zero element
/// </summary>
///
/// <param name="Gf2n">The finite field</param>
///
/// <returns>The zero element in the given finite field</returns>
public static GF2nONBElement Zero(GF2nONBField Gf2n)
{
long[] polynomial = new long[Gf2n.GetONBLength()];
return new GF2nONBElement(Gf2n, polynomial);
}
/// <summary>
/// Create the one element
/// </summary>
///
/// <param name="Gf2n">The finite field</param>
///
/// <returns>Returns the one element in the given finite field</returns>
public static GF2nONBElement One(GF2nONBField Gf2n)
{
int mLength = Gf2n.GetONBLength();
long[] polynomial = new long[mLength];
// fill mDegree coefficients with one's
for (int i = 0; i < mLength - 1; i++)
polynomial[i] = unchecked((long)0xffffffffffffffffL);
polynomial[mLength - 1] = _mMaxmask[Gf2n.GetONBBit() - 1];
return new GF2nONBElement(Gf2n, polynomial);
}
/// <summary>
/// Construct the element of the field <c>Gf2n</c> with the specified value <c>Value</c>
/// </summary>
///
/// <param name="Gf2n">The field</param>
/// <param name="Value">The value in ONB representation</param>
private GF2nONBElement(GF2nONBField Gf2n, long[] Value)
{
mField = Gf2n;
mDegree = mField.Degree;
_mLength = Gf2n.GetONBLength();
_mBit = Gf2n.GetONBBit();
_mPol = Value;
}
/// <summary>
/// Construct the element of the field <c>Gf2n</c> with the specified value <c>Value</c>
/// </summary>
///
/// <param name="Gf2n">The field</param>
/// <param name="Value">The value represented by a BigInteger</param>
public GF2nONBElement(GF2nONBField Gf2n, BigInteger Value)
{
mField = Gf2n;
mDegree = mField.Degree;
_mLength = Gf2n.GetONBLength();
_mBit = Gf2n.GetONBBit();
_mPol = new long[_mLength];
Assign(Value);
}
/// <summary>
/// Construct a new GF2nONBElement from its encoding
/// </summary>
///
/// <param name="Gf2n">The field</param>
/// <param name="Encoded">The encoded element</param>
public GF2nONBElement(GF2nONBField Gf2n, byte[] Encoded)
{
mField = Gf2n;
mDegree = mField.Degree;
_mLength = Gf2n.GetONBLength();
_mBit = Gf2n.GetONBBit();
_mPol = new long[_mLength];
Assign(Encoded);
}
/// <summary>
/// Construct a random element over the field <c>gf2n</c>, using the specified source of randomness
/// </summary>
///
/// <param name="Gf2n">The field</param>
/// <param name="SecRnd">The source of randomness</param>
public GF2nONBElement(GF2nONBField Gf2n, IRandom SecRnd)
{
mField = Gf2n;
mDegree = mField.Degree;
_mLength = Gf2n.GetONBLength();
_mBit = Gf2n.GetONBBit();
_mPol = new long[_mLength];
if (_mLength > 1)
{
for (int j = 0; j < _mLength - 1; j++)
_mPol[j] = SecRnd.NextLong(); //ju next long?
long last = SecRnd.Next();
_mPol[_mLength - 1] = IntUtils.URShift(last, (MAXLONG - _mBit));
}
else
{
_mPol[0] = SecRnd.NextLong();
_mPol[0] = IntUtils.URShift(_mPol[0], (MAXLONG - _mBit));
}
}