/usr/include/Wt/WGenericMatrix is in libwt-dev 3.3.4+dfsg-6ubuntu1.
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/*
* Copyright (C) 2010 Emweb bvba, Kessel-Lo, Belgium.
*
* See the LICENSE file for terms of use.
*/
#ifndef WGENERICMATRIX_H_
#define WGENERICMATRIX_H_
#include <Wt/WDllDefs.h>
#ifdef _MSC_VER
// Avoid 64-bit related warnings on MSVC
#pragma warning( push )
#pragma warning( disable : 4244 )
#pragma warning( disable : 4267 )
#endif
#define BOOST_SERIALIZATION_NO_LIB
#include <boost/numeric/ublas/matrix.hpp>
#ifdef _MSC_VER
#pragma warning( pop )
#endif
#include <boost/numeric/ublas/matrix_proxy.hpp>
#include <boost/numeric/ublas/io.hpp>
#include <ostream>
namespace Wt {
/*! \class WGenericMatrix Wt/WGenericMatrix Wt/WGenericMatrix
* \brief A value class that describes a matrix
*
* This class represents a fixed-size dense (!= sparse) matrix. It
* can be templatized to the number of rows and columns, and to the
* datatype stored (integer types, floatin point types, complex types, ...)
*
* The row order of this matrix class is row-major. This means that when
* accessing the raw data store linearly, you will first encounter all
* elements of the first row, then the second row, and so on.
*
* This template class is used in Wt as base class for transformation
* matrices, but can also be used as a general matrix class. Efficiency
* for this use case was considered when this class was implemented, but
* we recommend that you use a more specialized matrix class library
* if the algorithms you need exceed what's offered here (for example,
* if you intend to do many linear algebra computations, you may
* consider boost ublass, MTL, ...).
*/
template<typename T, std::size_t Rows, std::size_t Cols>
class WGenericMatrix
{
public:
typedef boost::numeric::ublas::bounded_matrix<T, Rows, Cols,
boost::numeric::ublas::row_major> MatrixType;
typedef typename boost::numeric::ublas::bounded_matrix<T, Rows, Cols,
boost::numeric::ublas::row_major>::array_type ArrayType;
/*! \brief Construct a identity matrix
*
* An identity matrix in this context is a matrix where m(i,i) = 1
* and m(i,j) = 0, for i != j.
*/
WGenericMatrix()
{
setToIdentity();
}
/*! \brief Copy Constructor
*/
WGenericMatrix(const WGenericMatrix<T, Rows, Cols> &other): m_(other.m_) {}
/*! \brief Constructs a matrix from an array of elements.
*
* The input array is assumed to be in row-major order. If elements is 0,
* the matrix data is not initialized.
*/
explicit WGenericMatrix(const T* elements)
{
if (elements) {
for(unsigned int i = 0; i < Rows; ++i)
for(unsigned int j = 0; j < Cols; ++j)
m_(i, j) = elements[i * Rows + j];
}
}
/*! \brief Returns a const pointer to the internal data store.
*
* The array can be indexed with []. You can iterate over the
* entire data store by using begin() and end() iterators. The
* row order of the data is row major.
*/
const ArrayType &constData() const { return m_.data(); }
/*! \brief Export the matrix data
*
* Stores the matrix in an array of Rows*Cols elements of type T,
* pointed to by data. The data will be stored in row major order.
*/
void copyDataTo(T *data)
{
for(unsigned int i = 0; i < Rows; ++i)
for (unsigned int j = 0; j < Cols; ++j)
data[i * Rows + j] = m_(i, j);
}
/*! \brief Returns a reference to the internal data store.
*
* The array can be indexed with []. You can iterate over the
* entire data store by using begin() and end() iterators. The
* row order of the data is row major.
*/
ArrayType &data() { return m_.data(); }
/*! \brief Returns a const reference to the internal data store.
*
* The array can be indexed with []. You can iterate over the
* entire data store by using begin() and end() iterators. The
* row order of the data is row major.
*/
const ArrayType &data() const { return m_.data(); }
/*! \brief Fills every element of the matrix with the given value
*/
void fill(T value)
{
for (unsigned i = 0; i < Rows * Cols; ++i)
m_.data()[i] = value;
}
/*! \brief Identity check.
*
* Returns true if the transform represents an identity transformation.
*/
bool isIdentity() const
{
using namespace boost::numeric::ublas;
identity_matrix<T> I(Rows > Cols ? Rows : Cols);
for(unsigned i = 0; i < Rows; ++i)
for (unsigned j = 0; j < Cols; ++j)
if (m_(i, j) != I(i, j))
return false;
return true;
}
/*! \brief Set this matrix to the identity matrix
*
* An identity matrix is in this context a matrix where m(i,i) = 1
* and m(i,j) = 0, for i != j.
*/
void setToIdentity()
{
#ifndef WT_TARGET_JAVA
using namespace boost::numeric::ublas;
m_ = project(identity_matrix<T>(Rows > Cols ? Rows : Cols),
range(0, Rows), range(0, Cols));
#endif
}
/*! \brief Returns the transposed of the matrix
*/
WGenericMatrix<T, Cols, Rows> transposed() const
{
return WGenericMatrix<T, Cols, Rows>(boost::numeric::ublas::trans(m_));
}
/*! \brief Equality operator.
*
* Returns \c true if the matrices are exactly the same.
*/
bool operator==(const WGenericMatrix<T, Rows, Cols>& rhs) const
{
for(unsigned i = 0; i < Rows; ++i)
for (unsigned j = 0; j < Cols; ++j)
if (rhs.m_(i, j) != m_(i, j))
return false;
return true;
}
/*! \brief Inequality operator.
*
* Returns \c true if the transforms are different.
*/
bool operator!=(const WGenericMatrix<T, Rows, Cols> &rhs) const {
return !(*this == rhs);
}
/*! \brief Returns the element at the given position
*/
const T &operator()(int row, int column) const
{
return m_(row, column);
}
/*! \brief Returns the element at the given position
*/
T &operator()(int row, int column) { return m_(row, column); }
/*! \brief Returns the element at the given position
*/
const T &at(int row, int column) const
{
return m_(row, column);
}
/*! \brief Returns the element at the given position
*/
T &at(int row, int column) { return m_(row, column); }
#ifdef WT_TARGET_JAVA
void setElement(int row, int column, float v);
#endif
/*! \brief Multiply every element of the matrix with the given factor
*/
WGenericMatrix<T, Rows, Cols> &operator*=(const T &factor)
{
#ifndef WT_TARGET_JAVA
m_ *= factor;
return *this;
#endif
}
/*! \brief Divide every element of the matrix by the given factor
*/
WGenericMatrix<T, Rows, Cols> &operator/=(const T &factor)
{
#ifndef WT_TARGET_JAVA
m_ /= factor;
return *this;
#endif
}
/*! \brief Add the given matrix to this matrix
*/
WGenericMatrix<T, Rows, Cols> &operator+=(
const WGenericMatrix<T, Rows, Cols> &rhs)
{
#ifndef WT_TARGET_JAVA
m_ += rhs.m_;
return *this;
#endif
}
/*! \brief Substract the given matrix from this matrix
*/
WGenericMatrix<T, Rows, Cols> &operator-=(
const WGenericMatrix<T, Rows, Cols> &rhs)
{
#ifndef WT_TARGET_JAVA
m_ -= rhs.m_;
return *this;
#endif
}
MatrixType &impl() { return m_; }
const MatrixType &impl() const { return m_; }
WGenericMatrix(const MatrixType &m): m_(m) {}
private:
MatrixType m_;
};
/*! \brief Multiply two matrices
*/
template<typename T, std::size_t A, std::size_t B, std::size_t C>
inline WGenericMatrix<T, A, C> operator*(const WGenericMatrix<T, A, B> &l,
const WGenericMatrix<T, B, C> &r)
{
#ifndef WT_TARGET_JAVA
using namespace boost::numeric::ublas;
return WGenericMatrix<T, A, C>(prod(l.impl(), r.impl()));
#endif
}
/*! \brief Print the matrix to an ostream
*/
template<typename T, std::size_t Rows, std::size_t Cols>
std::ostream &operator<<(std::ostream &os,
const WGenericMatrix<T, Rows, Cols> &m)
{
#ifndef WT_TARGET_JAVA
return os << m.impl();
#endif
}
/*! \brief Multiply every element in the matrix with the given factor
*/
template<typename T, std::size_t Rows, std::size_t Cols>
inline WGenericMatrix<T, Rows, Cols> operator*(const T &factor,
const WGenericMatrix<T, Rows, Cols> &m)
{
#ifndef WT_TARGET_JAVA
return WGenericMatrix<T, Rows, Cols>(factor * m.impl());
#endif
}
/*! \brief Multiply every element in the matrix with the given factor
*/
template<typename T, std::size_t Rows, std::size_t Cols>
inline WGenericMatrix<T, Rows, Cols> operator*(
const WGenericMatrix<T, Rows, Cols> &m, const T &factor)
{
#ifndef WT_TARGET_JAVA
return WGenericMatrix<T, Rows, Cols>(m.impl() * factor);
#endif
}
/*! \brief Divide every element in the matrix by the given factor
*/
template<typename T, std::size_t Rows, std::size_t Cols>
inline WGenericMatrix<T, Rows, Cols> operator/(
const WGenericMatrix<T, Rows, Cols> &m, const T &factor)
{
#ifndef WT_TARGET_JAVA
return WGenericMatrix<T, Rows, Cols>(m.impl() / factor);
#endif
}
/*! \brief Add two matrices together
*/
template<typename T, std::size_t Rows, std::size_t Cols>
inline WGenericMatrix<T, Rows, Cols> operator+(
const WGenericMatrix<T, Rows, Cols> &l,
const WGenericMatrix<T, Rows, Cols> &r)
{
#ifndef WT_TARGET_JAVA
return WGenericMatrix<T, Rows, Cols>(l.impl() + r.impl());
#endif
}
/*! \brief Substract two matrices
*/
template<typename T, std::size_t Rows, std::size_t Cols>
inline WGenericMatrix<T, Rows, Cols> operator-(
const WGenericMatrix<T, Rows, Cols> &l,
const WGenericMatrix<T, Rows, Cols> &r)
{
#ifndef WT_TARGET_JAVA
return WGenericMatrix<T, Rows, Cols>(l.impl() - r.impl());
#endif
}
/*! \brief Negate every element in the matrix
*/
template<typename T, std::size_t Rows, std::size_t Cols>
inline WGenericMatrix<T, Rows, Cols> operator-(
const WGenericMatrix<T, Rows, Cols> &m)
{
#ifndef WT_TARGET_JAVA
return WGenericMatrix<T, Rows, Cols>(-m.impl());
#endif
}
}
#endif // WGENERICMATRIX_H_
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