public object ToVector()
{
if (this.Rows == 1)
{
VectorRow vector = new VectorRow(this.Columns);
for (int i = 0; i < this.Columns; i++)
{
vector[i] = matrix[0, i];
}
return(vector);
}
else if (this.Columns == 1)
{
VectorColumn vector = new VectorColumn(this.Rows);
for (int i = 0; i < this.Rows; i++)
{
vector[i] = matrix[i, 0];
}
return(vector);
}
else
{
throw new Exception("Unable to convert matrix to vector.");
}
}
public void GenerateTridiagonalSystem()
{
if (MATRIX_SIZE == -1)
{
throw new InvalidOperationException("System is yet implemented.");
}
if (MATRIX_SIZE != 4)
{
throw new Exception("Only for 4-dimensions system");
}
var matrix = new double[4, 4] {
{ (N + k), -k, 0, 0 },
{ -(N / 2.0), 2 * N, k, 0 },
{ 0, -(N / 5.0), N, -(k / 2.0) },
{ 0, 0, -(N / 3.0), N }
};
var vector = new double[4] {
N, (N / 2.0), N - k, 2 * N
};
Matrix = new SquareMatrix(matrix);
FreeElems = new VectorColumn(vector);
MATRIX_SIZE = -1;
}
virtual public Matrix IncludeColumn(VectorColumn vector, int index)
{
if (index > this.Columns || index < 0)
{
throw new IndexOutOfRangeException("Unable to include row because index is out of range.");
}
if (vector.Length != this.Rows)
{
throw new ArgumentException("Unable to include column because vector-column has invalid length.");
}
double[,] matrix = new double[Rows, Columns + 1];
int _col = 0;
for (int col = 0; col <= this.Rows; col++)
{
if (col == index)
{
for (int row = 0; row < this.Rows; row++)
{
matrix[row, col] = vector[row];
}
continue;
}
for (int row = 0; row < this.Rows; row++)
{
matrix[row, col] = this.matrix[row, _col];
}
_col++;
}
return(new Matrix(matrix));
}
public LSystem(int student_number, int group_number, int matrix_size)
{
N = student_number;
k = group_number;
MATRIX_SIZE = matrix_size;
Matrix = new SquareMatrix(matrix_size);
FreeElems = new VectorColumn(matrix_size);
}
public void SetColumn(VectorColumn vector, int index)
{
if (index >= Columns || index < 0 || vector.Length != Rows)
{
throw new Exception("Can't set column.");
}
for (int i = 0; i < vector.Length; i++)
{
matrix[i, index] = vector[i];
}
}
public VectorColumn GetColumn(int index)
{
if (index >= Columns || index < 0)
{
throw new Exception("Can't get column.");
}
var column = new VectorColumn(Rows);
for (int i = 0; i < column.Length; i++)
{
column[i] = matrix[i, index];
}
return(column);
}
public void GenerateRegularSystem()
{
if (MATRIX_SIZE == -1)
{
throw new InvalidOperationException("System is yet implemented.");
}
var matrix = new SquareMatrix(MATRIX_SIZE);
var freeElems = new VectorColumn(MATRIX_SIZE);
for (int i = 0; i < MATRIX_SIZE; i++)
{
for (int j = 0; j < MATRIX_SIZE; j++)
{
if (i < j)
{
matrix[i, j] = (i + 1) + (j + 1) - N / 3.0 - k;
}
if (i == j)
{
matrix[i, j] = (i + 1) + (j + 1) + N / 4.0 + k;
}
if (i > j)
{
matrix[i, j] = (i + 1) + (j + 1) - N / 5.0 - k;
}
}
}
for (int i = 0; i < MATRIX_SIZE; i++)
{
freeElems[i] = 3 * (i + 1) + N / 2.0 + k;
}
Matrix = matrix;
FreeElems = freeElems;
MATRIX_SIZE = -1;
}
new public SquareMatrix IncludeColumn(VectorColumn vector, int index) => new Matrix(this.matrix).IncludeColumn(vector, index).ToSquareMatrix();
public LSystem(SquareMatrix matrix, VectorColumn freeElems)
{
this.Matrix = matrix;
this.FreeElems = freeElems;
this.MATRIX_SIZE = -1;
}
public VectorColumn CalcResiduals(VectorColumn solutions) => new VectorColumn((Matrix * solutions - FreeElems).ToDoubleArray());