/// <summary>
/// Run example
/// </summary>
public void Run()
{
// Format vector output to console
var formatProvider = (CultureInfo)CultureInfo.InvariantCulture.Clone();
formatProvider.TextInfo.ListSeparator = " ";
// Create new empty square matrix
var matrix = new DenseMatrix(10);
Console.WriteLine(@"Empty matrix");
Console.WriteLine(matrix.ToString("#0.00\t", formatProvider));
Console.WriteLine();
// 1. Fill matrix by data using indexer []
var k = 0;
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
matrix[i, j] = k++;
}
}
Console.WriteLine(@"1. Fill matrix by data using indexer []");
Console.WriteLine(matrix.ToString("#0.00\t", formatProvider));
Console.WriteLine();
// 2. Fill matrix by data using At. The element is set without range checking.
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
matrix.At(i, j, k--);
}
}
Console.WriteLine(@"2. Fill matrix by data using At");
Console.WriteLine(matrix.ToString("#0.00\t", formatProvider));
Console.WriteLine();
// 3. Clone matrix
var clone = matrix.Clone();
Console.WriteLine(@"3. Clone matrix");
Console.WriteLine(clone.ToString("#0.00\t", formatProvider));
Console.WriteLine();
// 4. Clear matrix
clone.Clear();
Console.WriteLine(@"4. Clear matrix");
Console.WriteLine(clone.ToString("#0.00\t", formatProvider));
Console.WriteLine();
// 5. Copy matrix into another matrix
matrix.CopyTo(clone);
Console.WriteLine(@"5. Copy matrix into another matrix");
Console.WriteLine(clone.ToString("#0.00\t", formatProvider));
Console.WriteLine();
// 6. Get submatrix into another matrix
var submatrix = matrix.SubMatrix(2, 2, 3, 3);
Console.WriteLine(@"6. Copy submatrix into another matrix");
Console.WriteLine(submatrix.ToString("#0.00\t", formatProvider));
Console.WriteLine();
// 7. Get part of the row as vector. In this example: get 4 elements from row 5 starting from column 3
var row = matrix.Row(5, 3, 4);
Console.WriteLine(@"7. Get part of the row as vector");
Console.WriteLine(row.ToString("#0.00\t", formatProvider));
Console.WriteLine();
// 8. Get part of the column as vector. In this example: get 3 elements from column 2 starting from row 6
var column = matrix.Column(2, 6, 3);
Console.WriteLine(@"8. Get part of the column as vector");
Console.WriteLine(column.ToString("#0.00\t", formatProvider));
Console.WriteLine();
// 9. Get columns using column enumerator. If you need all columns you may use ColumnEnumerator without parameters
Console.WriteLine(@"9. Get columns using column enumerator");
foreach (var keyValuePair in matrix.ColumnEnumerator(2, 4))
{
Console.WriteLine(@"Column {0}: {1}", keyValuePair.Item1, keyValuePair.Item2.ToString("#0.00\t", formatProvider));
}
Console.WriteLine();
// 10. Get rows using row enumerator. If you need all rows you may use RowEnumerator without parameters
Console.WriteLine(@"10. Get rows using row enumerator");
foreach (var keyValuePair in matrix.RowEnumerator(4, 3))
{
Console.WriteLine(@"Row {0}: {1}", keyValuePair.Item1, keyValuePair.Item2.ToString("#0.00\t", formatProvider));
}
Console.WriteLine();
// 11. Convert matrix into multidimensional array
var data = matrix.ToArray();
Console.WriteLine(@"11. Convert matrix into multidimensional array");
for (var i = 0; i < data.GetLongLength(0); i++)
{
for (var j = 0; j < data.GetLongLength(1); j++)
{
Console.Write(data[i, j].ToString("#0.00\t"));
}
Console.WriteLine();
}
Console.WriteLine();
// 12. Convert matrix into row-wise array
var rowwise = matrix.ToRowWiseArray();
Console.WriteLine(@"12. Convert matrix into row-wise array");
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
Console.Write(rowwise[(i * matrix.ColumnCount) + j].ToString("#0.00\t"));
}
Console.WriteLine();
}
Console.WriteLine();
// 13. Convert matrix into column-wise array
var columnise = matrix.ToColumnWiseArray();
Console.WriteLine(@"13. Convert matrix into column-wise array");
for (var i = 0; i < matrix.RowCount; i++)
{
for (var j = 0; j < matrix.ColumnCount; j++)
{
Console.Write(columnise[(j * matrix.RowCount) + i].ToString("#0.00\t"));
}
Console.WriteLine();
}
Console.WriteLine();
// 14. Get matrix diagonal as vector
var diagonal = matrix.Diagonal();
Console.WriteLine(@"14. Get matrix diagonal as vector");
Console.WriteLine(diagonal.ToString("#0.00\t", formatProvider));
Console.WriteLine();
}
/// <summary>
/// Run example
/// </summary>
/// <seealso cref="http://en.wikipedia.org/wiki/Matrix_norm">Matrix norm</seealso>
public void Run()
{
// Format matrix output to console
var formatProvider = (CultureInfo)CultureInfo.InvariantCulture.Clone();
formatProvider.TextInfo.ListSeparator = " ";
// Create square matrix
var matrix = new DenseMatrix(new[,] { { 1.0, 2.0, 3.0 }, { 6.0, 5.0, 4.0 }, { 8.0, 9.0, 7.0 } });
Console.WriteLine(@"Initial square matrix");
Console.WriteLine(matrix.ToString("#0.00\t", formatProvider));
Console.WriteLine();
// 1. 1-norm of the matrix
Console.WriteLine(@"1. 1-norm of the matrix");
Console.WriteLine(matrix.L1Norm());
Console.WriteLine();
// 2. 2-norm of the matrix
Console.WriteLine(@"2. 2-norm of the matrix");
Console.WriteLine(matrix.L2Norm());
Console.WriteLine();
// 3. Frobenius norm of the matrix
Console.WriteLine(@"3. Frobenius norm of the matrix");
Console.WriteLine(matrix.FrobeniusNorm());
Console.WriteLine();
// 4. Infinity norm of the matrix
Console.WriteLine(@"4. Infinity norm of the matrix");
Console.WriteLine(matrix.InfinityNorm());
Console.WriteLine();
// 5. Normalize matrix columns
Console.WriteLine(@"5. Normalize matrix columns: before normalize");
foreach (var keyValuePair in matrix.ColumnEnumerator())
{
Console.WriteLine(@"Column {0} 2-nd norm is: {1}", keyValuePair.Item1, keyValuePair.Item2.Norm(2));
}
Console.WriteLine();
var normalized = matrix.NormalizeColumns(2);
Console.WriteLine(@"5. Normalize matrix columns: after normalize");
foreach (var keyValuePair in normalized.ColumnEnumerator())
{
Console.WriteLine(@"Column {0} 2-nd norm is: {1}", keyValuePair.Item1, keyValuePair.Item2.Norm(2));
}
Console.WriteLine();
// 6. Normalize matrix columns
Console.WriteLine(@"6. Normalize matrix rows: before normalize");
foreach (var keyValuePair in matrix.RowEnumerator())
{
Console.WriteLine(@"Row {0} 2-nd norm is: {1}", keyValuePair.Item1, keyValuePair.Item2.Norm(2));
}
Console.WriteLine();
normalized = matrix.NormalizeRows(2);
Console.WriteLine(@"6. Normalize matrix rows: after normalize");
foreach (var keyValuePair in normalized.RowEnumerator())
{
Console.WriteLine(@"Row {0} 2-nd norm is: {1}", keyValuePair.Item1, keyValuePair.Item2.Norm(2));
}
}