GMatrix.hpp
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/***************************************************************************
* GMatrix.hpp - General matrix class *
* ----------------------------------------------------------------------- *
* copyright (C) 2006-2013 by Juergen Knoedlseder *
* ----------------------------------------------------------------------- *
* *
* This program is free software: you can redistribute it and/or modify *
* it under the terms of the GNU General Public License as published by *
* the Free Software Foundation, either version 3 of the License, or *
* (at your option) any later version. *
* *
* This program is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
* GNU General Public License for more details. *
* *
* You should have received a copy of the GNU General Public License *
* along with this program. If not, see <http://www.gnu.org/licenses/>. *
* *
***************************************************************************/
/**
* @file GMatrix.hpp
* @brief Generic matrix class definition
* @author Juergen Knoedlseder
*/
#ifndef GMATRIX_HPP
#define GMATRIX_HPP
/* __ Includes ___________________________________________________________ */
#include <string>
#include "GMatrixBase.hpp"
/* __ Forward declarations _______________________________________________ */
class GMatrixSymmetric;
class GMatrixSparse;
class GVector;
/***********************************************************************//**
* @class GMatrix
*
* @brief Generic matrix class definition
*
* This class implements a generic matrix. The class is a non-specialized
* representation of a matrix, and all other matrix storage classes can be
* converted into that class.
*
* For a description of the common matrix methods, please refer to the
* GMatrixBase class.
*
* Matrix allocation is done using the constructors
*
* GMatrix matrix(rows, columns);
* GMatrix matrix(matrix);
* GMatrix matrix(sparsematrix);
* GMatrix matrix(symmetricmatrix);
*
* where @p rows and @p columns specify the number of rows and columns of
* the matrix. Storage conversion constructors exist that allow allocating
* a generic matrix by copying from a sparse matrix of type GMatrixSparse
* and a symmetric matrix of type GMatrixSymmetric.
*
* To support using the GMatrix for coordinate transformations, methods
* are available to compute matrices for the three Euler angles:
*
* matrix.eulerx(angle);
* matrix.eulery(angle);
* matrix.eulerz(angle);
*
* Methods are also available to extract the lower or the upper triangle of
* a matrix:
*
* matrix.extract_lower_triangle();
* matrix.extract_upper_triangle();
*
* Matrix elements are stored column-wise by the class.
***************************************************************************/
class GMatrix : public GMatrixBase {
public:
// Constructors and destructors
GMatrix(void);
explicit GMatrix(const int& rows, const int& columns);
GMatrix(const GMatrix& matrix);
GMatrix(const GMatrixSymmetric& matrix);
GMatrix(const GMatrixSparse& matrix);
virtual ~GMatrix(void);
// Implemented pure virtual base class operators
virtual double& operator()(const int& row, const int& column);
virtual const double& operator()(const int& row, const int& column) const;
virtual GVector operator*(const GVector& vector) const;
// Other operators
virtual GMatrix& operator=(const GMatrix& matrix);
virtual GMatrix& operator=(const double& value);
virtual GMatrix operator+(const GMatrix& matrix) const;
virtual GMatrix operator-(const GMatrix& matrix) const;
virtual GMatrix operator*(const GMatrix& matrix) const;
virtual GMatrix operator-(void) const;
virtual GMatrix& operator+=(const GMatrix& matrix);
virtual GMatrix& operator-=(const GMatrix& matrix);
virtual GMatrix& operator*=(const GMatrix& matrix);
virtual GMatrix& operator*=(const double& scalar);
virtual GMatrix& operator/=(const double& scalar);
// Implemented pure virtual base class methods
virtual void clear(void);
virtual GMatrix* clone(void) const;
virtual double& at(const int& row, const int& column);
virtual const double& at(const int& row, const int& column) const;
virtual GVector row(const int& row) const;
virtual void row(const int& row, const GVector& vector);
virtual GVector column(const int& column) const;
virtual void column(const int& column, const GVector& vector);
virtual void add_to_row(const int& row, const GVector& vector);
virtual void add_to_column(const int& column, const GVector& vector);
virtual double fill(void) const;
virtual double min(void) const;
virtual double max(void) const;
virtual double sum(void) const;
virtual std::string print(const GChatter& chatter = NORMAL) const;
// Other methods
GMatrix transpose(void) const;
GMatrix invert(void) const;
GVector solve(const GVector& vector) const;
GMatrix negate(void) const;
GMatrix abs(void) const;
GMatrix extract_lower_triangle(void) const;
GMatrix extract_upper_triangle(void) const;
void eulerx(const double& angle);
void eulery(const double& angle);
void eulerz(const double& angle);
private:
// Private methods
void init_members(void);
void copy_members(const GMatrix& matrix);
void free_members(void);
void alloc_members(const int& rows, const int& columns);
};
/***********************************************************************//**
* @brief Return reference to matrix element
*
* @param[in] row Matrix row [0,...,rows()-1].
* @param[in] column Matrix column [0,...,columns()-1].
* @return Reference to matrix element.
*
* Returns a reference to the matrix element at @p row and @p column.
***************************************************************************/
inline
double& GMatrix::operator()(const int& row, const int& column)
{
return (m_data[m_colstart[column]+row]);
}
/***********************************************************************//**
* @brief Return reference to matrix element (const version)
*
* @param[in] row Matrix row [0,...,rows()-1].
* @param[in] column Matrix column [0,...,columns()-1].
* @return Const reference to matrix element.
*
* Returns a const reference to the matrix element at @p row and @p column.
***************************************************************************/
inline
const double& GMatrix::operator()(const int& row, const int& column) const
{
return (m_data[m_colstart[column]+row]);
}
/***********************************************************************//**
* @brief Binary matrix addition
*
* @param[in] matrix Matrix.
* @return Result of matrix addition.
*
* Returns the sum of two matrices. The method makes use of the unary
* addition operator.
***************************************************************************/
inline
GMatrix GMatrix::operator+(const GMatrix& matrix) const
{
GMatrix result = *this;
result += matrix;
return result;
}
/***********************************************************************//**
* @brief Binary matrix subtraction
*
* @param[in] matrix Matrix.
* @return Result of matrix subtraction.
*
* Returns the difference between two matrices. The method makes use of the
* unary subtraction operator.
***************************************************************************/
inline
GMatrix GMatrix::operator-(const GMatrix& matrix) const
{
GMatrix result = *this;
result -= matrix;
return result;
}
/***********************************************************************//**
* @brief Binary matrix multiplication
*
* @param[in] matrix Matrix.
* @return Result of matrix multiplication.
*
* Returns the product of two matrices. The method makes use of the unary
* multiplication operator.
***************************************************************************/
inline
GMatrix GMatrix::operator*(const GMatrix& matrix) const
{
GMatrix result = *this;
result *= matrix;
return result;
}
/***********************************************************************//**
* @brief Scale matrix elements
*
* @param[in] scalar Scale factor.
* @return Matrix with elements multiplied by @p scalar.
*
* Returns a matrix where all elements have been multiplied by the specified
* @p scalar value.
***************************************************************************/
inline
GMatrix& GMatrix::operator*=(const double& scalar)
{
scale_elements(scalar);
return *this;
}
/***********************************************************************//**
* @brief Divide matrix elements
*
* @param[in] scalar Scalar.
* @return Matrix with elements divided by @p scalar.
*
* Returns a matrix where all elements have been divided by the specified
* @p scalar value.
***************************************************************************/
inline
GMatrix& GMatrix::operator/=(const double& scalar)
{
*this *= 1.0/scalar;
return *this;
}
/***********************************************************************//**
* @brief Return minimum matrix element
*
* @return Minimum element in matrix.
*
* Returns the smallest element in the matrix.
***************************************************************************/
inline
double GMatrix::min(void) const
{
return get_min_element();
}
/***********************************************************************//**
* @brief Return maximum matrix element
*
* @return Maximum element in matrix.
*
* Returns the largest element in the matrix.
***************************************************************************/
inline
double GMatrix::max(void) const
{
return get_max_element();
}
/***********************************************************************//**
* @brief Return matrix element sum
*
* @return Sum of all matrix elements.
*
* Returns the sum of all matrix elements.
***************************************************************************/
inline
double GMatrix::sum(void) const
{
return get_element_sum();
}
/***********************************************************************//**
* @brief Multiply matrix by scalar
*
* @param[in] matrix Matrix.
* @param[in] scalar Scalar.
* @return Matrix divided by @p scalar.
*
* Returns a matrix where each element has been multiplied by a @p scalar.
***************************************************************************/
inline
GMatrix operator*(const GMatrix& matrix, const double& scalar)
{
GMatrix result = matrix;
result *= scalar;
return result;
}
/***********************************************************************//**
* @brief Multiply matrix by scalar
*
* @param[in] scalar Scalar.
* @param[in] matrix Matrix.
* @return Matrix divided by @p scalar.
*
* Returns a matrix where each element has been multiplied by a @p scalar.
***************************************************************************/
inline
GMatrix operator*(const double& scalar, const GMatrix& matrix)
{
GMatrix result = matrix;
result *= scalar;
return result;
}
/***********************************************************************//**
* @brief Divide matrix by scalar
*
* @param[in] matrix Matrix.
* @param[in] scalar Scalar.
* @return Matrix divided by @p scalar.
*
* Returns a matrix where each element has been divided by a @p scalar.
***************************************************************************/
inline
GMatrix operator/(const GMatrix& matrix, const double& scalar)
{
GMatrix result = matrix;
result /= scalar;
return result;
}
#endif /* GMATRIX_HPP */