vector.h

#pragma once
#include <cmath>
#include <numbers>

struct Vector3 {
  // constructor
  Vector3(const float x = 0.f, const float y = 0.f,
          const float z = 0.f) noexcept
      : x(x), y(y), z(z) {}

  // operator overloads
  const Vector3 operator-(const Vector3 &other) const noexcept {
    return Vector3{x - other.x, y - other.y, z - other.z};
  }

  const Vector3 operator+(const Vector3 &other) const noexcept {
    return Vector3{x + other.x, y + other.y, z + other.z};
  }

  const Vector3 operator/(const float factor) const noexcept {
    return Vector3{x / factor, y / factor, z / factor};
  }

  const Vector3 operator*(const float factor) const noexcept {
    return Vector3{x * factor, y * factor, z * factor};
  }

  // utils
  const Vector3 ToAngle() const noexcept {
    return Vector3{
        std::atan2(-z, std::hypot(x, y)) * (180.0f / std::numbers::pi_v<float>),
        std::atan2(y, x) * (180.0f / std::numbers::pi_v<float>), 0.0f};
  }

  const bool IsZero() const noexcept {
    return x == 0.f && y == 0.f && z == 0.f;
  }

  // struct data
  float x, y, z;
};