// [X] = ([A]*)t
public static MyComplexBandMatrix matrix_ConjugateTranspose(MyComplexBandMatrix matA)
{
MyComplexBandMatrix matX = new MyComplexBandMatrix(matA);
matX.ConjugateTranspose();
return(matX);
}
// [X] = alpha * [A]
public static MyComplexBandMatrix product(Complex alpha, MyComplexBandMatrix matA)
{
MyComplexBandMatrix matX = new MyComplexBandMatrix(matA.RowSize, matA.SubdiaSize, matA.SuperdiaSize);
for (int i = 0; i < matA.RowSize; i++)
{
for (int j = 0; j < matA.ColumnSize; j++)
{
matX[i, j] = alpha * matA[i, j];
}
}
return(matX);
}
public static MyComplexBandMatrix matrix_FromBuffer(Complex[] mat_, int nRowCol, int nSubdia, int nSuperdia, bool copyFlg = true)
{
MyComplexBandMatrix mat = null;
if (copyFlg)
{
mat = new MyComplexBandMatrix(mat_, nRowCol, nSubdia, nSuperdia);
}
else
{
mat = new MyComplexBandMatrix(nRowCol, nSubdia, nSuperdia);
mat._body = mat_;
}
return(mat);
}
public static Complex[] matrix_ToBuffer(MyComplexBandMatrix mat, bool copyFlg = true)
{
Complex[] mat_ = null;
if (copyFlg)
{
int size = mat._rsize * mat._csize;
mat_ = new Complex[size];
mat._body.CopyTo(mat_, 0);
}
else
{
mat_ = mat._body;
}
return(mat_);
}
// {x} = [A]{v}
public static Complex[] product(MyComplexBandMatrix matA, Complex[] vec)
{
System.Diagnostics.Debug.Assert(matA.ColumnSize == vec.Length);
//BUGFIX
//Complex[] retVec = new Complex[vec.Length];
Complex[] retVec = new Complex[matA.RowSize];
for (int i = 0; i < matA.RowSize; i++)
{
retVec[i] = new Complex(0.0, 0.0);
for (int k = 0; k < matA.ColumnSize; k++)
{
retVec[i] += matA[i, k] * vec[k];
}
}
return(retVec);
}
// [X] = [A] - [B]
public static MyComplexBandMatrix minus(MyComplexBandMatrix matA, MyComplexBandMatrix matB)
{
System.Diagnostics.Debug.Assert(matA.RowSize == matB.RowSize);
System.Diagnostics.Debug.Assert(matA.ColumnSize == matB.ColumnSize);
int rowcolSize = matA.RowSize;
int subdiaSize = matA.SubdiaSize >= matB.SubdiaSize ? matA.SubdiaSize : matB.SubdiaSize;
int superdiaSize = matA.SuperdiaSize >= matB.SuperdiaSize ? matA.SuperdiaSize : matB.SuperdiaSize;
MyComplexBandMatrix matX = new MyComplexBandMatrix(rowcolSize, subdiaSize, superdiaSize);
for (int i = 0; i < matA.RowSize; i++)
{
for (int j = 0; j < matA.ColumnSize; j++)
{
matX[i, j] = matA[i, j] - matB[i, j];
}
}
return(matX);
}
// [X] = ([A]*)t
public static MyComplexBandMatrix matrix_ConjugateTranspose(MyComplexBandMatrix matA)
{
MyComplexBandMatrix matX = new MyComplexBandMatrix(matA);
matX.ConjugateTranspose();
return matX;
}
// [X] = [A] + [B]
public static MyComplexBandMatrix plus(MyComplexBandMatrix matA, MyComplexBandMatrix matB)
{
System.Diagnostics.Debug.Assert(matA.RowSize == matB.RowSize);
System.Diagnostics.Debug.Assert(matA.ColumnSize == matB.ColumnSize);
int rowcolSize = matA.RowSize;
int subdiaSize = matA.SubdiaSize >= matB.SubdiaSize ? matA.SubdiaSize : matB.SubdiaSize;
int superdiaSize = matA.SuperdiaSize >= matB.SuperdiaSize ? matA.SuperdiaSize : matB.SuperdiaSize;
MyComplexBandMatrix matX = new MyComplexBandMatrix(rowcolSize, subdiaSize, superdiaSize);
for (int i = 0; i < matA.RowSize; i++)
{
for (int j = 0; j < matA.ColumnSize; j++)
{
matX[i, j] = matA[i, j] + matB[i, j];
}
}
return matX;
}
public static Complex[] matrix_ToBuffer(MyComplexBandMatrix mat, bool copyFlg = true)
{
Complex[] mat_ = null;
if (copyFlg)
{
int size = mat._rsize * mat._csize;
mat_ = new Complex[size];
mat._body.CopyTo(mat_, 0);
}
else
{
mat_ = mat._body;
}
return mat_;
}
public static MyComplexBandMatrix matrix_FromBuffer(Complex[] mat_, int nRowCol, int nSubdia, int nSuperdia, bool copyFlg = true)
{
MyComplexBandMatrix mat = null;
if (copyFlg)
{
mat = new MyComplexBandMatrix(mat_, nRowCol, nSubdia, nSuperdia);
}
else
{
mat = new MyComplexBandMatrix(nRowCol, nSubdia, nSuperdia);
mat._body = mat_;
}
return mat;
}
/// <summary>
/// �w�肳�ꂽ�s���R�s�[���āC�V�����s���쐬����D
/// </summary>
/// <param name="m">�R�s�[�����s��</param>
public MyComplexBandMatrix(MyComplexBandMatrix m)
{
CopyFrom(m);
}
/// <summary>
/// �]�u����D(�x�[�X�N���X��I/F�̃I�[�o�[���C�h)
/// </summary>
/// <returns>�]�u��̎��g�ւ̎Q��</returns>
public override MyComplexMatrix Transpose()
{
//return base.Transpose();
int rowcolSize = this._rowcolSize;
int subdiaSize = 0;
int superdiaSize = 0;
// �]�u���subdiaSize, superdiaSize��擾����
// r��c������ւ���Ă��邱�Ƃɒ���
for (int r = 0; r < rowcolSize; r++)
{
if (r < rowcolSize - 1)
{
int cnt = 0;
for (int c = rowcolSize - 1; c >= r + 1; c--)
{
// ��O�v�f�����������甲����
if (Math.Abs(this[c, r].Real) >= Constants.PrecisionLowerLimit || Math.Abs(this[c, r].Imaginary) >= Constants.PrecisionLowerLimit)
{
cnt = c - r;
break;
}
}
if (cnt > subdiaSize)
{
subdiaSize = cnt;
}
}
if (r > 0)
{
int cnt = 0;
for (int c = 0; c <= r - 1; c++)
{
// ��O�v�f�����������甲����
if (Math.Abs(this[c, r].Real) >= Constants.PrecisionLowerLimit || Math.Abs(this[c, r].Imaginary) >= Constants.PrecisionLowerLimit)
{
cnt = r - c;
break;
}
}
if (cnt > superdiaSize)
{
superdiaSize = cnt;
}
}
}
MyComplexBandMatrix t = new MyComplexBandMatrix(rowcolSize, subdiaSize, superdiaSize);
for (int r = 0; r < this._rsize; ++r)
{
for (int c = 0; c < this._csize; ++c)
{
//t[c, r] = this[r, c];
//t._body[c + r * this._csize] = this._body[r + c * this._rsize];
//t._body[(c - r) + t._subdiaSize + t._superdiaSize + r * t._rsize] = this._body[(r - c) + this._subdiaSize + this._superdiaSize + c * this._rsize];
t._body[(c - r) + t._subdiaSize + t._superdiaSize + r * t._rsize].Real = this._body[(r - c) + this._subdiaSize + this._superdiaSize + c * this._rsize].Real;
t._body[(c - r) + t._subdiaSize + t._superdiaSize + r * t._rsize].Imaginary = this._body[(r - c) + this._subdiaSize + this._superdiaSize + c * this._rsize].Imaginary;
}
}
this.Clear();
this._body = t._body;
this._rsize = t._rsize;
this._csize = t._csize;
this._rowcolSize = t._rowcolSize;
this._subdiaSize = t._subdiaSize;
this._superdiaSize = t._superdiaSize;
return this;
}
/// <summary>
/// 複素共役転置する．(ベースクラスのI/Fのオーバーライド)
/// </summary>
/// <returns>転置後の自身への参照</returns>
public override MyComplexMatrix ConjugateTranspose()
{
//return base.ConjugateTranspose();
int rowcolSize = this._rowcolSize;
int subdiaSize = 0;
int superdiaSize = 0;
// 転置後のsubdiaSize, superdiaSizeを取得する
// rとcが入れ替わっていることに注意
for (int r = 0; r < rowcolSize; r++)
{
if (r < rowcolSize - 1)
{
int cnt = 0;
for (int c = rowcolSize - 1; c >= r + 1; c--)
{
// 非０要素が見つかったら抜ける
if (Math.Abs(this[c, r].Real) >= Constants.PrecisionLowerLimit || Math.Abs(this[c, r].Imaginary) >= Constants.PrecisionLowerLimit)
{
cnt = c - r;
break;
}
}
if (cnt > subdiaSize)
{
subdiaSize = cnt;
}
}
if (r > 0)
{
int cnt = 0;
for (int c = 0; c <= r - 1; c++)
{
// 非０要素が見つかったら抜ける
if (Math.Abs(this[c, r].Real) >= Constants.PrecisionLowerLimit || Math.Abs(this[c, r].Imaginary) >= Constants.PrecisionLowerLimit)
{
cnt = r - c;
break;
}
}
if (cnt > superdiaSize)
{
superdiaSize = cnt;
}
}
}
MyComplexBandMatrix t = new MyComplexBandMatrix(rowcolSize, subdiaSize, superdiaSize);
for (int r = 0; r < this._rsize; ++r)
{
for (int c = 0; c < this._csize; ++c)
{
//t[c, r] = Complex.Conjugate(this[r, c]);
//t._body[(c - r) + t._subdiaSize + t._superdiaSize + r * t._rsize] = Complex.Conjugate(this._body[(r - c + this._subdiaSize + this._superdiaSize + c * this._rsize]);
t._body[(c - r) + t._subdiaSize + t._superdiaSize + r * t._rsize].Real = this._body[(r - c) + this._subdiaSize + this._superdiaSize + c * this._rsize].Real;
t._body[(c - r) + t._subdiaSize + t._superdiaSize + r * t._rsize].Imaginary = -this._body[(r - c) + this._subdiaSize + this._superdiaSize + c * this._rsize].Imaginary;
}
}
this.Clear();
this._body = t._body;
this._rsize = t._rsize;
this._csize = t._csize;
this._rowcolSize = t._rowcolSize;
this._subdiaSize = t._subdiaSize;
this._superdiaSize = t._superdiaSize;
return(this);
}
/// <summary>
/// 指定された行列をコピーして，新しい行列を作成する．
/// </summary>
/// <param name="m">コピーされる行列</param>
public MyComplexBandMatrix(MyComplexBandMatrix m)
{
CopyFrom(m);
}
// {x} = [A]{v}
public static Complex[] product(MyComplexBandMatrix matA, Complex[] vec)
{
System.Diagnostics.Debug.Assert(matA.ColumnSize == vec.Length);
//BUGFIX
//Complex[] retVec = new Complex[vec.Length];
Complex[] retVec = new Complex[matA.RowSize];
for (int i = 0; i < matA.RowSize; i++)
{
retVec[i] = new Complex(0.0, 0.0);
for (int k = 0; k < matA.ColumnSize; k++)
{
retVec[i] += matA[i, k] * vec[k];
}
}
return retVec;
}
/// <summary>
/// �w�肳�ꂽ�s���R�s�[����D
/// </summary>
/// <param name="m">�R�s�[�����s��</param>
/// <returns>�R�s�[��̎��g�ւ̎Q��</returns>
public virtual MyComplexBandMatrix CopyFrom(MyComplexBandMatrix m)
{
return CopyFrom(m._body, m._rowcolSize, m._subdiaSize, m._superdiaSize);
}
// [X] = alpha * [A]
public static MyComplexBandMatrix product(Complex alpha, MyComplexBandMatrix matA)
{
MyComplexBandMatrix matX = new MyComplexBandMatrix(matA.RowSize, matA.SubdiaSize, matA.SuperdiaSize);
for (int i = 0; i < matA.RowSize; i++)
{
for (int j = 0; j < matA.ColumnSize; j++)
{
matX[i, j] = alpha * matA[i, j];
}
}
return matX;
}
/// <summary>
/// 指定された行列をコピーする．
/// </summary>
/// <param name="m">コピーされる行列</param>
/// <returns>コピー後の自身への参照</returns>
public virtual MyComplexBandMatrix CopyFrom(MyComplexBandMatrix m)
{
return(CopyFrom(m._body, m._rowcolSize, m._subdiaSize, m._superdiaSize));
}