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blMatrix2d.hpp
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#ifndef BL_MATRIX2D_HPP
#define BL_MATRIX2D_HPP
///-------------------------------------------------------------------
///
///
///
/// PURPOSE: A simple 2x2 matrix class
///
/// AUTHOR: Vincenzo Barbato
///
/// NOTE: All things in this library are defined within the
/// blMathAPI namespace
///
/// LISENSE: MIT-LICENCE
/// http://www.opensource.org/licenses/mit-license.php
///
///
///
///-------------------------------------------------------------------
//-------------------------------------------------------------------
// Includes needed for this file
//-------------------------------------------------------------------
#include "blVector3dOperations.hpp"
//-------------------------------------------------------------------
//-------------------------------------------------------------------
// NOTE: This class is defined within the blMathAPI namespace
//-------------------------------------------------------------------
namespace blMathAPI
{
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
class blMatrix2d
{
public: // Default constructor and destructor
// Default constructor
blMatrix2d(const blNumberType& initialValue = blNumberType(0));
// Copy constructor
template<typename blNumberType2>
blMatrix2d(const blMatrix2d<blNumberType2>& matrix);
// Constructor using
// 4 distinct values
blMatrix2d(const blNumberType& M00,const blNumberType& M01,
const blNumberType& M10,const blNumberType& M11);
// Constructor builds
// matrix from a 2x2
// two-dimensional array
// of different type
template<typename blNumberType2>
blMatrix2d(const blNumberType2 (&matrixArray)[2][2]);
// Constructor builds
// matrix from a
// two-dimensional
// array of different
// type and different
// dimensions
template<typename blNumberType2,int m,int n>
blMatrix2d(const blNumberType2 (&matrixArray)[m][n]);
// Destructor
~blMatrix2d()
{
}
public: // Overloaded operators
// Overloaded index operators
blNumberType* operator[](const int& rowIndex);
const blNumberType* operator[](const int& rowIndex)const;
blNumberType& operator()(const int& dataIndex);
const blNumberType& operator()(const int& dataIndex)const;
blNumberType& operator()(const int& rowIndex,const int& colIndex);
const blNumberType& operator()(const int& rowIndex,const int& colIndex)const;
// Overloaded arithmetic operators
blMatrix2d<blNumberType> operator-()const;
blMatrix2d<blNumberType>& operator+=(const blMatrix2d<blNumberType>& matrix);
blMatrix2d<blNumberType>& operator-=(const blMatrix2d<blNumberType>& matrix);
blMatrix2d<blNumberType>& operator*=(const blNumberType& scalar);
blMatrix2d<blNumberType>& operator/=(const blNumberType& scalar);
blMatrix2d<blNumberType> operator+(const blMatrix2d<blNumberType>& matrix)const;
blMatrix2d<blNumberType> operator-(const blMatrix2d<blNumberType>& matrix)const;
blMatrix2d<blNumberType> operator*(const blNumberType& scalar)const;
blMatrix2d<blNumberType> operator/(const blNumberType& scalar)const;
blMatrix2d<blNumberType> operator*(const blMatrix2d<blNumberType>& matrix)const;
private: // Private variables
// 3x3 matrix components
blNumberType m_matrix[2][2];
};
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline blMatrix2d<blNumberType>::blMatrix2d(const blNumberType& initialValue)
{
// Initialize all values to
// the passed value
m_matrix[0][0] = initialValue;
m_matrix[0][1] = initialValue;
m_matrix[1][0] = initialValue;
m_matrix[1][1] = initialValue;
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline blMatrix2d<blNumberType>::blMatrix2d(const blNumberType& M00,
const blNumberType& M01,
const blNumberType& M10,
const blNumberType& M11)
{
// Initialize all values to their
// specified initial value
m_matrix[0][0] = M00;
m_matrix[0][1] = M01;
m_matrix[1][0] = M10;
m_matrix[1][1] = M11;
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
template<typename blNumberType2>
inline blMatrix2d<blNumberType>::blMatrix2d(const blMatrix2d<blNumberType2>& matrix)
{
// Copy the inidividual
// values to this matrix
m_matrix[0][0] = static_cast<blNumberType>(matrix[0][0]);
m_matrix[0][1] = static_cast<blNumberType>(matrix[0][1]);
m_matrix[1][0] = static_cast<blNumberType>(matrix[1][0]);
m_matrix[1][1] = static_cast<blNumberType>(matrix[1][1]);
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
template<typename blNumberType2>
inline blMatrix2d<blNumberType>::blMatrix2d(const blNumberType2 (&matrixArray)[2][2])
{
// Copy values from the
// array into this matrix
m_matrix[0][0] = static_cast<blNumberType>(matrixArray[0][0]);
m_matrix[0][1] = static_cast<blNumberType>(matrixArray[0][1]);
m_matrix[1][0] = static_cast<blNumberType>(matrixArray[1][0]);
m_matrix[1][1] = static_cast<blNumberType>(matrixArray[1][1]);
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
template<typename blNumberType2,int m,int n>
inline blMatrix2d<blNumberType>::blMatrix2d(const blNumberType2 (&matrixArray)[m][n])
{
// Initialize the
// values to zero
m_matrix[0][0] = 0;
m_matrix[0][1] = 0;
m_matrix[1][0] = 0;
m_matrix[1][1] = 0;
// Loop and assign
// the values
for(int i = 0; i < 2 && i < m; ++i)
{
for(int j = 0; j < 2 && j < n; ++j)
{
m_matrix[i][j] = static_cast<blNumberType>( matrixArray[i][j] );
}
}
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline blNumberType* blMatrix2d<blNumberType>::operator[](const int& rowIndex)
{
return &m_matrix[rowIndex][0];
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline const blNumberType* blMatrix2d<blNumberType>::operator[](const int& rowIndex)const
{
return &m_matrix[rowIndex][0];
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline blNumberType& blMatrix2d<blNumberType>::operator()(const int& dataIndex)
{
return m_matrix[0][dataIndex];
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline const blNumberType& blMatrix2d<blNumberType>::operator()(const int& dataIndex)const
{
return m_matrix[0][dataIndex];
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline blNumberType& blMatrix2d<blNumberType>::operator()(const int& rowIndex,const int& colIndex)
{
return m_matrix[rowIndex][colIndex];
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline const blNumberType& blMatrix2d<blNumberType>::operator()(const int& rowIndex,const int& colIndex)const
{
return m_matrix[rowIndex][colIndex];
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline blMatrix2d<blNumberType> blMatrix2d<blNumberType>::operator-()const
{
return blMatrix2d<blNumberType>(-m_matrix[0][0],-m_matrix[0][1],-m_matrix[1][0],-m_matrix[1][1]);
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline blMatrix2d<blNumberType>& blMatrix2d<blNumberType>::operator+=(const blMatrix2d<blNumberType>& matrix)
{
m_matrix[0][0] += matrix[0][0];
m_matrix[0][1] += matrix[0][1];
m_matrix[1][0] += matrix[1][0];
m_matrix[1][1] += matrix[1][1];
return (*this);
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline blMatrix2d<blNumberType>& blMatrix2d<blNumberType>::operator-=(const blMatrix2d<blNumberType>& matrix)
{
m_matrix[0][0] -= matrix[0][0];
m_matrix[0][1] -= matrix[0][1];
m_matrix[1][0] -= matrix[1][0];
m_matrix[1][1] -= matrix[1][1];
return (*this);
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline blMatrix2d<blNumberType>& blMatrix2d<blNumberType>::operator*=(const blNumberType& scalar)
{
m_matrix[0][0] *= scalar;
m_matrix[0][1] *= scalar;
m_matrix[1][0] *= scalar;
m_matrix[1][1] *= scalar;
return (*this);
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline blMatrix2d<blNumberType>& blMatrix2d<blNumberType>::operator/=(const blNumberType& scalar)
{
m_matrix[0][0] /= scalar;
m_matrix[0][1] /= scalar;
m_matrix[1][0] /= scalar;
m_matrix[1][1] /= scalar;
return (*this);
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline blMatrix2d<blNumberType> blMatrix2d<blNumberType>::operator*(const blNumberType& scalar)const
{
return blMatrix2d<blNumberType>(m_matrix[0][0]*scalar,
m_matrix[0][1]*scalar,
m_matrix[1][0]*scalar,
m_matrix[1][1]*scalar);
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline blMatrix2d<blNumberType> blMatrix2d<blNumberType>::operator/(const blNumberType& scalar)const
{
return blMatrix2d<blNumberType>(m_matrix[0][0]/scalar,
m_matrix[0][1]/scalar,
m_matrix[1][0]/scalar,
m_matrix[1][1]/scalar);
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline blMatrix2d<blNumberType> blMatrix2d<blNumberType>::operator*(const blMatrix2d<blNumberType>& matrix)const
{
// C[i][j] = Sum(A[i][k]*B[k][j])
blMatrix2d<blNumberType> result;
result[0][0] = m_matrix[0][0]*matrix[0][0] + m_matrix[0][1]*matrix[1][0];
result[0][1] = m_matrix[0][0]*matrix[0][1] + m_matrix[0][1]*matrix[1][1];
result[1][0] = m_matrix[1][0]*matrix[0][0] + m_matrix[1][1]*matrix[1][0];
result[1][1] = m_matrix[1][0]*matrix[0][1] + m_matrix[1][1]*matrix[1][1];
return result;
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline blMatrix2d<blNumberType> blMatrix2d<blNumberType>::operator+(const blMatrix2d<blNumberType>& matrix)const
{
// C[i][j] = A[i][j] + B[i][j])
blMatrix2d<blNumberType> result;
result[0][0] = m_matrix[0][0] + matrix[0][0];
result[0][1] = m_matrix[0][1] + matrix[0][1];
result[1][0] = m_matrix[1][0] + matrix[1][0];
result[1][1] = m_matrix[1][1] + matrix[1][1];
return result;
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
template<typename blNumberType>
inline blMatrix2d<blNumberType> blMatrix2d<blNumberType>::operator-(const blMatrix2d<blNumberType>& matrix)const
{
// C[i][j] = A[i][j] - B[i][j])
blMatrix2d<blNumberType> result;
result[0][0] = m_matrix[0][0] - matrix[0][0];
result[0][1] = m_matrix[0][1] - matrix[0][1];
result[1][0] = m_matrix[1][0] - matrix[1][0];
result[1][1] = m_matrix[1][1] - matrix[1][1];
return result;
}
//-------------------------------------------------------------------
//-------------------------------------------------------------------
// End of the blMathAPI namespace
}
//-------------------------------------------------------------------
#endif // BL_MATRIX2D_HPP