vector.hpp

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#pragma once
 
#include <array>
#include <cmath>
#include <initializer_list>
 
template <typename Type, size_t Dimension> class Vector {
private:
  std::array<Type, Dimension> _data; 
 
public:
  Vector() : _data{} {}
 
  Vector(std::initializer_list<Type> values) {
    size_t i = 0;
    for (const auto &value : values) {
      if (i >= Dimension)
        break;
      _data[i++] = value;
    }
  }
 
  Type &operator[](size_t index) { return _data[index]; }
 
  const Type &operator[](size_t index) const { return _data[index]; }
 
  Vector operator+(const Vector &other) const {
    Vector result;
    for (size_t i = 0; i < Dimension; ++i) {
      result[i] = _data[i] + other[i];
    }
    return result;
  }
 
  Vector operator-(const Vector &other) const {
    Vector result;
    for (size_t i = 0; i < Dimension; ++i) {
      result[i] = _data[i] - other[i];
    }
    return result;
  }
 
  Vector operator*(Type scalar) const {
    Vector result;
    for (size_t i = 0; i < Dimension; ++i) {
      result[i] = _data[i] * scalar;
    }
    return result;
  }
 
  Type dot(const Vector &other) const {
    Type result = Type{};
    for (size_t i = 0; i < Dimension; ++i) {
      result += _data[i] * other[i];
    }
    return result;
  }
 
  Type magnitude() const { return std::sqrt(dot(*this)); }
 
  Vector normalize() const {
    Type mag = magnitude();
    return (mag != Type{}) ? (*this * (Type{1} / mag)) : *this;
  }
 
  constexpr size_t size() const { return Dimension; }
};