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/* mmmatrix.hpp
* Part of Mathematical library built (ab)using Modern C++ 17 abstractions.
*
* This library is not intended to be _performant_, it does not contain
* hand written SMID / SSE / AVX optimizations. It is instead an example
* of highly inefficient (but abstract!) code, where matrices can contain any
* data type.
*
* Naoki Pross <naopross@thearcway.org>
* 2018 ~ 2019
*/
#pragma once
#ifndef NDEBUG
#include "mm/debug.hpp"
#endif
#include <iostream>
#include <iomanip>
#include <cassert>
#include <initializer_list>
#include <array>
#include <memory>
/*
* Forward declarations
*/
namespace mm {
using index = std::size_t;
template<typename T, std::size_t Rows, std::size_t Cols>
class basic_matrix;
/* specialisations */
template<typename T, std::size_t Rows, std::size_t Cols>
class matrix;
template<typename T, std::size_t N>
class vector;
template<typename T, std::size_t N>
class square_matrix;
template<typename T, std::size_t N>
class diagonal_matrix;
}
/*
* Matrix Classes
*/
namespace mm {
template<typename T, std::size_t Rows, std::size_t Cols>
struct basic_matrix
{
public:
using type = T;
static constexpr std::size_t rows = Rows;
static constexpr std::size_t cols = Cols;
template<typename U, std::size_t ORows, std::size_t OCols>
friend class mm::basic_matrix;
virtual ~basic_matrix() {};
// copy from another matrix
// template<std::std::size_t ORows, std::size_t OCols>
// basic_matrix(const basic_matrix<T, ORows, OCols>& other) {
// static_assert(ORows <= Rows);
// static_assert(OCols <= Cols);
// for (index row = 0; row < Rows; row++)
// for (index col = 0; col < Cols; col++)
// at(row, col) = other.at(row, col);
// }
virtual T& at(index row, index col) = 0;
virtual const T& at(index row, index col) const = 0;
// constexpr std::size_t rows() { return Rows; }
// constexpr std::size_t cols() { return Cols; }
protected:
basic_matrix() {
npdebug("default construtor");
}
basic_matrix(const basic_matrix<T, Rows, Cols>& other) {
npdebug("copy constructor");
}
basic_matrix(basic_matrix<T, Rows, Cols>&& other) {
npdebug("move constructor");
}
};
/* Specializations */
template<typename T, std::size_t Rows, std::size_t Cols>
struct matrix : public basic_matrix<T, Rows, Cols>
{
public:
// aggregate initialization
template<typename ...E,
typename std::enable_if<
std::is_convertible<E, T>::value
>::type...
>
matrix(E ...e) : m_data({{std::forward<E>(e)...}}) {}
matrix(const matrix<T, Rows, Cols>& o)
: basic_matrix<T, Rows, Cols>(o), m_data(o.m_data) {}
matrix(matrix<T, Rows, Cols>&& o)
: basic_matrix<T, Rows, Cols>(std::move(o)), m_data(std::move(o.m_data)) {}
virtual ~matrix() = default;
virtual T& at(index row, index col) override {
return m_data[row * Cols + col];
}
virtual const T& at(index row, index col) const override {
return m_data[row * Cols + col];
}
private:
std::array<T, Rows * Cols> m_data;
};
template<typename T, std::size_t N>
struct vector : public matrix<T, 1, N> {};
template<typename T, std::size_t N>
struct square_matrix : public matrix<T, N, N>
{};
template<typename T, std::size_t N>
struct identity_matrix : public basic_matrix<T, N, N>
{
public:
const T& at(index row, index col) const override {
return (row != col) ? static_cast<T>(1) : static_cast<T>(0);
}
private:
// not allowed
T& at(index row, index col) { return static_cast<T>(0); }
};
template<typename T, std::size_t N>
struct diagonal_matrix : public basic_matrix<T, N, N>
{
public:
T& at(index row, index col) override {
m_null_element = static_cast<T>(0);
return (row != col) ? m_data[row] : m_null_element;
}
const T& at(index row, index col) const override {
return (row != col) ? m_data[row] : static_cast<T>(0);
}
private:
T m_null_element;
std::array<T, N> m_data;
};
}
/*
* Matrix Opertors
*/
namespace mm {
}
template<typename T, std::size_t Rows, std::size_t Cols, unsigned NumW = 3>
std::ostream& operator<<(std::ostream& os, const mm::basic_matrix<T, Rows, Cols>& m) {
for (mm::index row = 0; row < Rows; row++) {
os << "[ ";
for (mm::index col = 0; col < (Cols -1); col++) {
os << std::setw(NumW) << m.at(row, col) << ", ";
}
os << std::setw(NumW) << m.at(row, (Cols -1)) << " ]\n";
}
return os;
}
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