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#include <istream>
#include <algorithm>
#include <numeric>
template <size_t Rows, size_t Columns, typename DataType = double>
class Matrix
{
//HEAD
using MatrixRow = Matrix<1, Columns, DataType>;
using MatrixColumn = Matrix<Rows, 1, DataType>;
MatrixRow d_matrix[Rows];
//=
public:
Matrix();
Matrix(std::istream &str);
MatrixRow &operator[](size_t idx);
MatrixRow const &operator[](size_t idx) const;
MatrixRow columnMarginals() const;
MatrixColumn rowMarginals() const;
DataType sum() const;
};
//MATRIXROW
template <size_t Columns, typename DataType> // no default allowed
class Matrix<1, Columns, DataType>
//=
{
//ROWDATA
DataType d_column[Columns];
//=
public:
Matrix();
template <size_t Rows>
Matrix(Matrix<Rows, Columns, DataType> const &matrix);
DataType &operator[](size_t idx);
DataType const &operator[](size_t idx) const;
};
//MATRIXCOLUMN
template <size_t Rows, typename DataType>
class Matrix<Rows, 1, DataType>
//=
{
DataType d_row[Rows];
public:
Matrix();
template <size_t Columns>
Matrix(Matrix<Rows, Columns, DataType> const &matrix);
DataType &operator[](size_t idx);
DataType const &operator[](size_t idx) const;
DataType sum();
};
//MATRIX1X1
template <typename DataType>
class Matrix<1, 1, DataType>
//=
{
DataType d_cell;
public:
Matrix();
template <size_t Rows, size_t Columns>
Matrix(Matrix<Rows, Columns, DataType> const &matrix);
template <size_t Rows>
Matrix(Matrix<Rows, 1, DataType> const &matrix);
operator DataType &();
DataType &get();
operator DataType const &() const;
DataType const &get() const;
};
//MARGINALS
template <size_t Rows, size_t Columns, typename DataType>
Matrix<1, Columns, DataType>
Matrix<Rows, Columns, DataType>::columnMarginals() const
{
return MatrixRow(*this);
}
template <size_t Rows, size_t Columns, typename DataType>
Matrix<Rows, 1, DataType>
Matrix<Rows, Columns, DataType>::rowMarginals() const
{
return MatrixColumn(*this);
}
template <size_t Rows, size_t Columns, typename DataType>
DataType Matrix<Rows, Columns, DataType>::sum() const
{
return rowMarginals().sum();
}
//=
//CONSTRUCTORS
template <size_t Rows, size_t Columns, typename DataType>
Matrix<Rows, Columns, DataType>::Matrix()
{
std::fill(d_matrix, d_matrix + Rows, MatrixRow());
}
template <size_t Rows, size_t Columns, typename DataType>
Matrix<Rows, Columns, DataType>::Matrix(std::istream &str)
{
for (size_t row = 0; row < Rows; row++)
for (size_t col = 0; col < Columns; col++)
str >> d_matrix[row][col];
}
//=
//OPERATORINDEX
template <size_t Rows, size_t Columns, typename DataType>
Matrix<1, Columns, DataType>
&Matrix<Rows, Columns, DataType>::operator[](size_t idx)
{
return d_matrix[idx];
}
//=
template <size_t Rows, size_t Columns, typename DataType>
Matrix<1, Columns, DataType>
const &Matrix<Rows, Columns, DataType>::operator[](size_t idx) const
{
return d_matrix[idx];
}
//ROWCONS1
template <size_t Columns, typename DataType>
Matrix<1, Columns, DataType>::Matrix()
{
std::fill(d_column, d_column + Columns, DataType());
}
//=
//ROWCONS2
template <size_t Columns, typename DataType>
template <size_t Rows>
Matrix<1, Columns, DataType>::Matrix(
Matrix<Rows, Columns, DataType> const &matrix)
{
std::fill(d_column, d_column + Columns, DataType());
for (size_t col = 0; col < Columns; col++)
for (size_t row = 0; row < Rows; row++)
d_column[col] += matrix[row][col];
}
//=
//ROWOPERATORINDEX
template <size_t Columns, typename DataType>
DataType &Matrix<1, Columns, DataType>::operator[](size_t idx)
{
return d_column[idx];
}
//=
template <size_t Columns, typename DataType>
DataType const &Matrix<1, Columns, DataType>::operator[](size_t idx) const
{
return d_column[idx];
}
template <size_t Rows, typename DataType>
Matrix<Rows, 1, DataType>::Matrix()
{
std::fill(d_row, d_row + Rows, DataType());
}
template <size_t Rows, typename DataType>
template <size_t Columns>
Matrix<Rows, 1, DataType>::Matrix(
Matrix<Rows, Columns, DataType> const &matrix)
{
for (size_t row = 0; row < Rows; row++)
d_row[row] =
std::accumulate
(
&matrix[row][0], &matrix[row][Columns], DataType()
);
}
template <size_t Rows, typename DataType>
DataType &Matrix<Rows, 1, DataType>::operator[](size_t idx)
{
return d_row[idx];
}
template <size_t Rows, typename DataType>
DataType const &Matrix<Rows, 1, DataType>::operator[](size_t idx) const
{
return d_row[idx];
}
//SUMCOLUMN
template <size_t Rows, typename DataType>
DataType Matrix<Rows, 1, DataType>::sum()
{
return std::accumulate(d_row, d_row + Rows, DataType());
}
//=
template <typename DataType>
Matrix<1, 1, DataType>::Matrix()
:
d_cell(DataType())
{}
//1X1CONS
template <typename DataType>
template <size_t Rows, size_t Columns>
Matrix<1, 1, DataType>::Matrix(
Matrix<Rows, Columns, DataType> const &matrix)
:
d_cell(matrix.rowMarginals().sum())
{}
template <typename DataType>
template <size_t Rows>
Matrix<1, 1, DataType>::Matrix(Matrix<Rows, 1, DataType> const &matrix)
:
d_cell(matrix.sum())
{}
//=
//ACCESSORS
template <typename DataType>
Matrix<1, 1, DataType>::operator DataType &()
{
return d_cell;
}
template <typename DataType>
DataType &Matrix<1, 1, DataType>::get()
{
return d_cell;
}
//=
template <typename DataType>
Matrix<1, 1, DataType>::operator DataType const &() const
{
return d_cell;
}
template <typename DataType>
DataType const &Matrix<1, 1, DataType>::get() const
{
return d_cell;
}
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