internal ComplexVector(ComplexMatrix inner)
{
if (inner.Columns != 1)
{
throw new ArgumentException();
}
this.inner = inner;
}
public ComplexVector(Complex[] entries)
{
int n = entries.Length;
Complex[,] a = new Complex[n, 1];
for (int i = 0; i < n; i++)
{
a[i, 0] = entries[i];
}
inner = new ComplexMatrix(a);
}
public ComplexMatrix SetMatrix(int row, int column, ComplexMatrix a)
{
if (row < 0 || row + a.rows > rows || column < 0 || column + a.columns > columns)
{
throw new IndexOutOfRangeException();
}
ComplexMatrix b = new ComplexMatrix(rows, columns, entries);
for (int i = 0; i < a.rows; i++)
{
for (int j = 0; j < a.columns; j++)
{
b.SetEntryInternal(row + i, column + j, a.GetEntryInternal(i, j));
}
}
return b;
}
public ComplexMatrix SetEntry(int row, int column, Complex t)
{
if (row < 0 || row >= rows || column < 0 || column >= columns)
{
throw new IndexOutOfRangeException();
}
ComplexMatrix a = new ComplexMatrix(rows, columns, entries);
a.SetEntryInternal(row, column, t);
return a;
}
public ComplexMatrix GetMatrix(int row, int column, int rows, int columns)
{
if (row < 0 || row + rows > this.rows || column < 0 || column + columns > this.columns)
{
throw new IndexOutOfRangeException();
}
int n = rows;
int m = columns;
ComplexMatrix a = new ComplexMatrix(n, m);
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
a.SetEntryInternal(i, j, GetEntryInternal(row + i, column + j));
}
}
return a;
}
public static ComplexMatrix Transpose(ComplexMatrix a)
{
int n = a.columns;
int m = a.rows;
ComplexMatrix b = new ComplexMatrix(n, m);
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
b.SetEntryInternal(i, j, a.GetEntryInternal(j, i));
}
}
return b;
}
public static Complex Trace(ComplexMatrix a)
{
int n = Math.Min(a.rows, a.columns);
Complex s = 0.0;
for (int i = 0; i < n; i++)
{
s += a[i, i];
}
return s;
}
public static ComplexMatrix Identity(int rows, int columns)
{
int n = Math.Min(rows, columns);
ComplexMatrix a = new ComplexMatrix(rows, columns);
for (int i = 0; i < n; i++)
{
a.SetEntryInternal(i, i, 1.0);
}
return a;
}
public static ComplexMatrix Diagonal(Complex[] values)
{
int n = values.Length;
ComplexMatrix a = new ComplexMatrix(n, n);
for (int i = 0; i < n; i++)
{
a.SetEntryInternal(i, i, values[i]);
}
return a;
}
public static ComplexMatrix Basis(int rows, int columns, int row, int column)
{
if (row < 0 || row >= rows || column < 0 || column >= columns)
{
throw new IndexOutOfRangeException();
}
ComplexMatrix a = new ComplexMatrix(rows, columns);
a.SetEntryInternal(row, column, 1.0);
return a;
}
public static ComplexMatrix operator -(Complex t, ComplexMatrix a)
{
int n = a.rows;
int m = a.columns;
ComplexMatrix b = new ComplexMatrix(n, m);
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
b.SetEntryInternal(i, j, t - a.GetEntryInternal(i, j));
}
}
return b;
}
public static ComplexMatrix operator -(ComplexMatrix a, ComplexMatrix b)
{
int n = a.rows;
int m = a.columns;
if (b.rows != n || b.columns != m)
{
throw new ArgumentException("The matrix dimensions don't match.");
}
ComplexMatrix c = new ComplexMatrix(n, m);
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
c.SetEntryInternal(i, j, a.GetEntryInternal(i, j) - b.GetEntryInternal(i, j));
}
}
return c;
}
public static ComplexMatrix operator +(ComplexMatrix a, Complex t)
{
int n = a.Rows;
int m = a.Columns;
ComplexMatrix c = new ComplexMatrix(n, m);
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
c.SetEntryInternal(i, j, a.GetEntryInternal(i, j) + t);
}
}
return c;
}
public static ComplexMatrix operator *(ComplexMatrix a, ComplexMatrix b)
{
int n = a.rows;
int m = b.columns;
int l = a.columns;
if (b.rows != l)
{
throw new ArgumentException("The matrix dimensions don't match.");
}
ComplexMatrix c = new ComplexMatrix(n, m);
for (int i = 0; i < n; i++)
{
for (int j = 0; j < m; j++)
{
Complex s = 0.0;
for (int k = 0; k < l; k++)
{
s += a.GetEntryInternal(i, k) * b.GetEntryInternal(k, j);
}
c.SetEntryInternal(i, j, s);
}
}
return c;
}