C++ 커스텀 벡터 클래스 (Custom Vector3 Class For D3D)

 

#include<iostream>
using namespace std;

class Vector3
{
public:
	float x;
	float y;
	float z;

	Vector3()
	{
		x = 0;
		y = 0;
		z = 0;
	}
	Vector3(float _x, float _y, float _z)
	{
		x = _x;
		y = _y;
		z = _z;
	}

#ifndef 연산자 오버로딩

	friend Vector3 operator+(const Vector3& a, const Vector3& b) // 벡터 덧셈
	{
		float Vx = a.x + b.x;
		float Vy = a.y + b.y;
		float Vz = a.z + b.z;

		return Vector3(Vx, Vy, Vz);
	}
	friend Vector3 operator-(const Vector3& a, const Vector3& b) // 벡터 뺼셈
	{
		float Vx = a.x - b.x;
		float Vy = a.y - b.y;
		float Vz = a.z - b.z;

		return Vector3(Vx, Vy, Vz);
	}
	friend float operator*(const Vector3& a, const Vector3& b) //내적 구하기(스칼라 곱)
	{
		float Vx = a.x * b.x;
		float Vy = a.y * b.y;
		float Vz = a.z * b.z;

		return Vx + Vy + Vz;
	}
	bool operator==(Vector3 a) // 두 벡터가 같을떄
	{
		if (x == a.x && y == a.y && z == a.z)
		{
			return true;
		}
		else
		{
			return false;
		}
	}

#endif // 연산자 오버로딩

	static float InnerCos(Vector3 v1, Vector3 v2) //각도 구하기
	{
		float Cos = (v1 * v2) / ((v1.Magnitude()*v2.Magnitude()));

		return Cos;
	}
	Vector3 Normalrize() // 정규화(단위벡터로 만들기)
	{
		Vector3 normal;
		float magnitude = this->Magnitude();
		normal.x = x / magnitude;
		normal.y = y / magnitude;
		normal.z = z / magnitude;

		return normal;
	}
	float Magnitude() // 벡터 크기
	{
		auto magnitude = sqrt(pow(x, 2) + pow(y, 2) + pow(z, 2));

		return magnitude;
	}
	static double Seta(float cos) //세타값 구하기 각도(디그리)
	{
		return acos(cos) * (180 / 3.14);
	}
	
	static Vector3 Proj(Vector3 v1, Vector3 v2) // 방향(normal) * 크기(magnitude = Proj(V1)
	{
		Vector3 result;

		result.x = ((v1*v2) / (v2*v2)) * v2.x;
		result.y = ((v1*v2) / (v2*v2))  * v2.y;
		result.z = ((v1*v2) / (v2*v2)) * v2.z;

		return result;
	}
	static  Vector3 Orthogonal_Projection(Vector3 v1, Vector3 proj) // 직교화
	{
		Vector3 ortho;
		ortho = v1 - proj;
		return ortho;
	}
	static Vector3 CrossProduct(Vector3 v1, Vector3 v2) //외적
	{
		Vector3 cross;
		cross.x = v1.y*v2.z - v1.z*v2.y;
		cross.y = v1.z*v2.x - v1.x - v2.z;
		cross.z = v1.x*v2.y - v1.y*v2.x;

		return cross;
	}
};

int main()
{
	Vector3 u(1, 2, 3);
	Vector3 v(1, 2, 1);

	cout <<u*v<<"  "<<u.Normalrize().x<< " "<<u.Normalrize().y<<" "<<u.Normalrize().z<< " "<<endl;
	
	cout << " 스칼라 " << u * v;
	float cos = Vector3::InnerCos(u, v);
	cout << " 코사인 " << cos;
	cout<< "각도"<< Vector3::Seta(cos)<<endl;
	
	Vector3 pro = Vector3::Proj(u, v);

	cout << "Proj(V): "<<pro.x << " " << pro.y << " " << pro.z<<endl;

	return 0;

}