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#pragma once
#include "singleton.h"
#include <experimental/type_traits>
#include <array>
#include <cstdint>
#include <cstring>
#include <initializer_list>
#include <vector>
template <typename T, int Phantom = 0>
struct MatrixT : public std::vector<std::vector<T>> {
using Row = std::vector<T>;
static int dim() { return singleton<Store>().dim; }
static void set_dim(int dim_) { singleton<Store>().set_dim(dim_); }
MatrixT() : std::vector<std::vector<T>>(dim(), std::vector<T>(dim())) {}
static MatrixT mul_id() {
MatrixT e;
for (int i = 0; i < dim(); ++i) {
if constexpr (has_mul_id) {
e[i][i] = T::mul_id();
} else {
e[i][i] = 1;
}
}
return e;
}
MatrixT &operator+=(const MatrixT &o) {
for (int i = 0; i < dim(); ++i) {
for (int j = 0; j < dim(); ++j) {
(*this)[i][j] += o[i][j];
}
}
return *this;
}
MatrixT operator+(const MatrixT &o) const { return MatrixT(*this) += o; }
MatrixT &operator-=(const MatrixT &o) {
for (int i = 0; i < dim(); ++i) {
for (int j = 0; j < dim(); ++j) {
(*this)[i][j] -= o[i][j];
}
}
return *this;
}
MatrixT operator-(const MatrixT &o) const { return MatrixT(*this) -= o; }
MatrixT operator*(const MatrixT &o) const {
auto &buffer = singleton<Store>().buffer;
MatrixT result;
for (int j = 0; j < dim(); ++j) {
for (int i = 0; i < dim(); ++i) {
buffer[i] = o[i][j];
}
for (int i = 0; i < dim(); ++i) {
for (int k = 0; k < dim(); ++k) {
result[i][j] += (*this)[i][k] * buffer[k];
}
}
}
return result;
}
MatrixT &operator*=(const MatrixT &o) { return *this = *this * o; }
private:
template <typename U> using has_mul_id_t = decltype(U::mul_id());
static constexpr bool has_mul_id =
std::experimental::is_detected_v<has_mul_id_t, T>;
struct Store {
void set_dim(int dim_) {
dim = dim_;
buffer.resize(dim_);
}
int dim;
std::vector<T> buffer;
};
};
template <typename T, int Phantom>
auto operator*(const typename MatrixT<T, Phantom>::Row &r,
const MatrixT<T, Phantom> &o) {
typename MatrixT<T, Phantom>::Row result;
for (int k = 0; k < o.dim(); k++) {
for (int j = 0; j < o.dim(); j++) {
result[j] += r[k] * o[k][j];
}
}
return result;
}
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