public static MatrixOnGaloisField DotMultiplication(MatrixOnGaloisField matrixLeft, MatrixOnGaloisField matrixRight)
{
if (matrixLeft.ColumnCount != matrixRight.RowCount)
{
throw new DimensionMismatchException("Number of columns in first matrix does not equal number of rows in second matrix.");
}
var rowCount = matrixLeft.RowCount;
var columnCount = matrixRight.ColumnCount;
var rawResult = new int[rowCount, columnCount];
for (int row = 0; row < rowCount; row++)
{
for (int col = 0; col < columnCount; col++)
{
int sum = -1;
for (int k = 0; k < matrixLeft.ColumnCount; k++)
{
var product = matrixLeft.GaloisField.MultiplyWords(matrixLeft.Data[row, k], matrixRight.Data[k, col]);
sum = matrixLeft.GaloisField.AddWords(sum, product);
}
rawResult[row, col] = sum;
}
}
var result = new MatrixOnGaloisField(rawResult, matrixLeft.GaloisField);
return(result);
}
public MatrixOnGaloisField GetRangeOfColumns(
RangeInt columnRange)
{
var baseResult = GetRangeOfColumns(this, columnRange);
var result = new MatrixOnGaloisField(baseResult, GaloisField);
return(result);
}
public MatrixOnGaloisField GetRangeOfRows(
RangeInt rowRange)
{
var baseResult = GetRangeOfRows(this, rowRange);
var result = new MatrixOnGaloisField(baseResult, GaloisField);
return(result);
}
public MatrixOnGaloisField Transpose()
{
var rawResult = Transpose(this);
var result = new MatrixOnGaloisField(rawResult, GaloisField);
return(result);
}
public MatrixOnGaloisField SubMatrix(
RangeInt rowRange,
RangeInt columnRange)
{
var baseResult = SubMatrix(this, rowRange, columnRange);
var result = new MatrixOnGaloisField(baseResult, GaloisField);
return(result);
}
public static MatrixOnGaloisField Concatenate(
MatrixOnGaloisField matrixLeft,
MatrixOnGaloisField matrixRight)
{
var baseResult = MatrixBase <int> .Concatenate(matrixLeft, matrixRight);
var result = new MatrixOnGaloisField(baseResult, matrixLeft.GaloisField);
return(result);
}
protected static MatrixOnGaloisField Addition(
MatrixOnGaloisField matrix,
int scalar)
{
return(new MatrixOnGaloisField(
ElementWiseOperation(
matrix,
scalar,
(a, b) => matrix.GaloisField.AddWords(a, b)),
matrix.GaloisField));
}
protected static MatrixOnGaloisField Addition(
MatrixOnGaloisField matrixLeft,
MatrixOnGaloisField matrixRight)
{
return(new MatrixOnGaloisField(
ElementWiseOperation(
matrixLeft,
matrixRight,
(a, b) => matrixLeft.GaloisField.AddWords(a, b)),
matrixLeft.GaloisField));
}
public bool Equals(MatrixOnGaloisField other)
{
if (RowCount != other.RowCount)
{
throw new DimensionMismatchException("The number of rows in this matrix does not equal the number of rows in other matrix");
}
if (ColumnCount != other.ColumnCount)
{
throw new DimensionMismatchException("The number of columns in this matrix does not equal the number of columns in other matrix");
}
for (var row = 0; row < RowCount; row++)
{
for (var col = 0; col < ColumnCount; col++)
{
if (this[row, col] != other[row, col])
{
return(false);
}
}
}
return(true);
}
public MatrixOnGaloisField(MatrixOnGaloisField matrix) : base(matrix)
{
GaloisField = matrix.GaloisField;
}
public int FindColumn(MatrixOnGaloisField column)
{
var result = FindColumn(this, column);
return(result);
}
internal int FindRow(MatrixOnGaloisField row)
{
var result = FindRow(this, row);
return(result);
}
public MatrixOnGaloisField AppendRows(MatrixOnGaloisField rows)
{
var baseResult = AppendRows(this, rows);
return(new MatrixOnGaloisField(baseResult, GaloisField));
}