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Vector.cs
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Vector.cs
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using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
namespace randomImage
{
public class Vector
{
public double x, y, z;
//private bool is4D;
// setting a default vector
public Vector()
{
x = 0;
y = 0;
z = 0;
//is4D = false;
}
// constructing a vector
public Vector(double x, double y, double z)
{
this.x = x;
this.y = y;
this.z = z;
// is4D = false;
}
/* public Vector(double x, double y, double z, double w) : this(x, y, z)
{
this.w = w;
// is4D = true;
}
*/
// operation overloading for addtion of any two vector using + sign
public static Vector operator +(Vector a, Vector b)
{
// if (!a.is4D && !b.is4D)
return new Vector(a.x + b.x, a.y + b.y, a.z + b.z);
// return new Vector(a.x + b.x, a.y + b.y, a.z + b.z, a.w + b.w);
}
// operation overloading for addition of vector and any scalar using + sign
public static Vector operator +(Vector a, double b)
{
return new Vector(a.x + b, a.y + b, a.z + b);
}
// operation overloading for subtraction of any two vector using - sign
public static Vector operator -(Vector a, Vector b)
{
return new Vector(a.x - b.x, a.y - b.y, a.z - b.z);
}
// operation overloading for dot product of any two vectors using * sign
public static double operator *(Vector a, Vector b)
{
return (double)(a.x * b.x + a.y * b.y + a.z * b.z);
}
// operation overloading for product of any scalar and any vector
public static Vector operator *(Vector a, double b) {
return new Vector(a.x * b, a.y * b, a.z * b);
}
public static Vector operator *(double a, Vector b)
{
return b * a;
}
// operation overloading for cross product of any two vectors
public static Vector operator %(Vector a, Vector b)
{
return new Vector((a.y * b.z - a.z * b.y), (a.z * b.x - a.x * b.z), (a.x * b.y - a.y * b.x));
}
public override string ToString()
{
return "(" + x + ", " + y + ", " + z + ")";
}
// defining function to find magnitude of any given vector
public double Magnitude() {
return Math.Sqrt(x * x + y * y + z * z);
}
// defining function to normalize the any given vector
public Vector Normalize()
{
double d = Magnitude();
double newX = x / d;
double newY = y / d;
double newZ = z / d;
return new Vector(newX, newY, newZ);
}
}
}