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#ifndef WOLFF_MODELS_VECTOR_H
#define WOLFF_MODELS_VECTOR_H
#include <cmath>
#include <array>
#include <iostream>
namespace wolff {
template <unsigned q, class T>
class vector_t : public std::array<T, q> {
public:
vector_t() {
this->fill((T)0);
(*this)[0] = (T)1;
}
vector_t(const T *x) {
for (unsigned i = 0; i < q; i++) {
(*this)[i] = x[i];
}
}
typedef vector_t <q, T> M_t;
typedef vector_t <q, double> F_t;
template <class U>
inline vector_t<q, T>& operator+=(const vector_t<q, U> &v) {
for (unsigned i = 0; i < q; i++) {
(*this)[i] += (T)v[i];
}
return *this;
}
template <class U>
inline vector_t<q, T>& operator-=(const vector_t<q, U> &v) {
for (unsigned i = 0; i < q; i++) {
(*this)[i] -= (T)v[i];
}
return *this;
}
inline vector_t<q, T> operator*(unsigned x) const {
vector_t<q, T> result;
for (unsigned i = 0; i < q; i++) {
result[i] = x * (*this)[i];
}
return result;
}
inline vector_t<q, double> operator*(double x) const {
vector_t<q, double> result;
for (unsigned i = 0; i < q; i++) {
result[i] = x * (*this)[i];
}
return result;
}
inline vector_t<q, T> operator-(const vector_t<q, T>& v) const {
vector_t<q, T> diff = *this;
diff -= v;
return diff;
}
inline T operator*(const vector_t<q, T>& v) const {
double prod = 0;
for (unsigned i = 0; i < q; i++) {
prod += v[i] * (*this)[i];
}
return prod;
}
template <class U>
inline vector_t<q, T> operator/(U a) const {
vector_t<q, T> result;
for (unsigned i = 0; i < q; i++) {
result[i] = (*this)[i] / a;
}
return result;
}
};
template<unsigned q, class T>
inline vector_t<q, T> operator*(unsigned a, const vector_t<q, T>&v) {
return v * a;
}
template<unsigned q, class T>
inline vector_t<q, double> operator*(double a, const vector_t<q, T>&v) {
return v * a;
}
template<unsigned q, class T>
std::ostream& operator<<(std::ostream& os, const vector_t<q, T>&v) {
os << "( ";
for (T vi : v) {
os << vi << " ";
}
os << ")";
return os;
}
}
#endif
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