?? matrix.inl
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// Matrix.inl: implementation of the CMatrix class.
// inline functions
// 朱桂斌
// 2001年3月6日
//////////////////////////////////////////////////////////////////////
// 構造函數
inline CMatrix::CMatrix (unsigned int row, unsigned int col)
{
RowSiz = Row = row;
ColSiz = Col = col;
Val = new double* [row];
for (unsigned int i=0; i < row; i++)
Val[i] = new double [col];
}
// 拷貝構造函數
inline CMatrix::CMatrix (const CMatrix& m)
{
RowSiz = Row = m.Row;
ColSiz = Col = m.Col;
Val = new double* [Row];
unsigned int colsize = Col * sizeof(double);
for (unsigned int i=0; i < Row; i++)
{
Val[i] = new double [Col];
memcpy( Val[i], m.Val[i], colsize);
}
}
// 析構函數
inline CMatrix::~CMatrix (void)
{
for (unsigned int i=0; i < RowSiz; i++)
delete [] Val[i];
delete [] Val;
}
// 重新分配內存
inline void CMatrix::realloc (unsigned int row, unsigned int col)
{
if (row == RowSiz && col == ColSiz)
{
Row = RowSiz;
Col = ColSiz;
return;
}
unsigned int i;
double** Val1 = new double* [row];
for (i=0; i < row; i++)
Val1[i] = new double [col];
unsigned int colSize = min(Col,col) * sizeof(double);
unsigned int minRow = min(Row,row);
for (i=0; i < minRow; i++)
memcpy( Val1[i], Val[i], colSize);
for (i=0; i < RowSiz; i++)
delete [] Val[i];
delete [] Val;
RowSiz = Row = row;
ColSiz = Col = col;
Val = Val1;
return;
}
//改變矩陣大小
inline void CMatrix::SetSize (unsigned int row, unsigned int col)
{
unsigned int i,j;
unsigned int oldRow = Row;
unsigned int oldCol = Col;
if (row != RowSiz || col != ColSiz)
realloc( row, col);
if (row > oldRow)
for (i=oldRow; i < row; i++)
for (j=0; j < oldCol; j++)
Val[i][j] = double(0);
if (col > oldCol)
for (i=0; i < row; i++)
for (j=oldCol; j < col; j++)
Val[i][j] = double(0);
return;
}
// 下標操作符如(i,j)
inline double& CMatrix::operator () (unsigned int row, unsigned int col)
{
VERIFY(row < Row && col < Col);
return Val[row][col];
}
// input stream function
/*inline istream& operator >> (istream& istrm, CMatrix& m)
{
for (unsigned int i=0; i < m.Row; i++)
for (unsigned int j=0; j < m.Col; j++)
istrm >> m.Val[i][j];
return istrm;
}
// output stream function
inline ostream& operator << (ostream &ostrm, CMatrix& m)
{
for (unsigned int i=0; i < m.Row; i++)
{
for (unsigned int j=0; j < m.Col; j++)
cout << m.Val[i][j] << '\t';
cout << endl;
}
return ostrm;
}
*/
// 賦值操作符
inline CMatrix& CMatrix::operator = (const CMatrix& m)
{
if (Row != m.Row || Col != m.Col)
realloc( m.Row,m.Col);
unsigned int colbyte = m.Col * sizeof(double);
for (unsigned int i=0; i < m.Row; i++)
memcpy( Val[i], m.Val[i], colbyte);
return *this;
}
// 拷貝內容，有可能擴大尺寸，但不縮小
inline CMatrix& CMatrix::CopyFrom(const CMatrix& m)
{
if (Row < m.Row || Col < m.Col)
{
unsigned int newrow, newcol;
newrow=max(Row,m.Row);
newcol=max(Col,m.Col);
realloc( newrow,newcol);
}
unsigned int colbyte = m.Col * sizeof(double);
for (unsigned int i=0; i < m.Row; i++)
memcpy( Val[i], m.Val[i], colbyte);
return *this;
}
// 邏輯等于操作符
inline bool operator == (const CMatrix& m1, const CMatrix& m2)
{
bool retVal = false;
if (m1.Row != m2.Row || m1.Col != m2.Col)
return retVal;
for (unsigned int i=0; i < m1.Row; i++)
for (unsigned int j=0; j < m1.Col; i++)
if (m1.Val[i][j] != m2.Val[i][j])
return retVal;
return true;
}
// 邏輯不等于操作符
inline bool operator != (const CMatrix& m1, const CMatrix& m2)
{
return (m1 == m2) ? false : true;
}
// 加、賦值結合操作
inline CMatrix& CMatrix::operator += (const CMatrix& m)
{
VERIFY(Row == m.Row && Col == m.Col);
for (unsigned int i=0; i < m.Row; i++)
for (unsigned int j=0; j < m.Col; j++)
Val[i][j] += m.Val[i][j];
return *this;
}
// 減、賦值結合操作
inline CMatrix& CMatrix::operator -= (const CMatrix& m)
{
VERIFY(Row == m.Row && Col == m.Col);
for (unsigned int i=0; i < m.Row; i++)
for (unsigned int j=0; j < m.Col; j++)
Val[i][j] -= m.Val[i][j];
return *this;
}
// 乘以標量并賦值
inline CMatrix& CMatrix::operator *= (const double& c)
{
for (unsigned int i=0; i < Row; i++)
for (unsigned int j=0; j < Col; j++)
Val[i][j] *= c;
return *this;
}
// 乘以矩陣并賦值
inline CMatrix& CMatrix::operator *= (const CMatrix& m)
{
VERIFY(Col == m.Row);
*this = *this * m;
return *this;
}
// 除以標量并賦值
inline CMatrix& CMatrix::operator /= (const double& c)
{
for (unsigned int i=0; i < Row; i++)
for (unsigned int j=0; j < Col; j++)
Val[i][j] /= c;
return *this;
}
// 乘方賦值
inline CMatrix& CMatrix::operator ^= (const unsigned int& pow)
{
for (unsigned int i=2; i <= pow; i++)
*this = *this * *this;
return *this;
}
// 取負運算
inline CMatrix CMatrix::operator - ()
{
CMatrix temp(Row,Col);
for (unsigned int i=0; i < Row; i++)
for (unsigned int j=0; j < Col; j++)
temp.Val[i][j] = - Val[i][j];
return temp;
}
// 加運算
inline CMatrix operator + (const CMatrix& m1, const CMatrix& m2)
{
VERIFY(m1.Row == m2.Row || m1.Col == m2.Col);
CMatrix temp(m1.Row,m1.Col);
for (unsigned int i=0; i < m1.Row; i++)
for (unsigned int j=0; j < m1.Col; j++)
temp.Val[i][j] = m1.Val[i][j] + m2.Val[i][j];
return temp;
}
// 減運算
inline CMatrix operator - (const CMatrix& m1, const CMatrix& m2)
{
VERIFY(m1.Row == m2.Row || m1.Col == m2.Col);
CMatrix temp(m1.Row,m1.Col);
for (unsigned int i=0; i < m1.Row; i++)
for (unsigned int j=0; j < m1.Col; j++)
temp.Val[i][j] = m1.Val[i][j] - m2.Val[i][j];
return temp;
}
// 乘以標量
inline CMatrix operator * (const CMatrix& m, const double& no)
{
CMatrix temp(m.Row,m.Col);
for (unsigned int i=0; i < m.Row; i++)
for (unsigned int j=0; j < m.Col; j++)
temp.Val[i][j] = no * m.Val[i][j];
return temp;
}
//加標量
inline CMatrix operator + (const CMatrix& m, const double& no)
{
CMatrix temp(m.Row,m.Col);
for (unsigned int i=0; i < m.Row; i++)
for (unsigned int j=0; j < m.Col; j++)
temp.Val[i][j] = no + m.Val[i][j];
return temp;
}
//標量減矩陣
inline CMatrix operator - (const double& no, const CMatrix& m)
{
CMatrix temp(m.Row,m.Col);
for (unsigned int i=0; i < m.Row; i++)
for (unsigned int j=0; j < m.Col; j++)
temp.Val[i][j] = no - m.Val[i][j];
return temp;
}
// 相乘運算(multiplication)
inline CMatrix operator * (const CMatrix& m1, const CMatrix& m2)
{
VERIFY(m1.Col == m2.Row);
CMatrix temp(m1.Row,m2.Col);
for (unsigned int i=0; i < m1.Row; i++)
for (unsigned int j=0; j < m2.Col; j++)
{
temp.Val[i][j] = double(0);
for (unsigned int k=0; k < m1.Col; k++)
temp.Val[i][j] += m1.Val[i][k] * m2.Val[k][j];
}
return temp;
}
// 乘方(power)
inline CMatrix operator ^ (const CMatrix& m, const unsigned int& pow)
{
CMatrix temp(m);
for (unsigned int i=2; i <= pow; i++)
temp = temp * temp;
return temp;
}
// 轉置運算(transpose)
inline CMatrix operator ~ (const CMatrix& m)
{
CMatrix temp(m.Col,m.Row);
for (unsigned int i=0; i < m.Row; i++)
for (unsigned int j=0; j < m.Col; j++)
temp.Val[j][i] = m.Val[i][j];
return temp;
}
// 取逆運算(inversion)
inline CMatrix operator ! (CMatrix m)
{
unsigned int i,j,k;
double a1,a2,*rowptr;
VERIFY (m.Row == m.Col);
CMatrix temp(m.Row,m.Col);
temp.Unit();
for (k=0; k < m.Row; k++)
{
int indx = m.pivot(k);
VERIFY (indx != -1);
if (indx != 0)
{
rowptr = temp.Val[k];
temp.Val[k] = temp.Val[indx];
temp.Val[indx] = rowptr;
}
a1 = m.Val[k][k];
for (j=0; j < m.Row; j++)
{
m.Val[k][j] /= a1;
temp.Val[k][j] /= a1;
}
for (i=0; i < m.Row; i++)
if (i != k)
{
a2 = m.Val[i][k];
for (j=0; j < m.Row; j++)
{
m.Val[i][j] -= a2 * m.Val[k][j];
temp.Val[i][j] -= a2 * temp.Val[k][j];
}
}
}
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