public static bool IsPointInsideTriangle(CartesianCoordinates point, List <CartesianCoordinates> triangle)
{
if (triangle.Count != 3)
{
throw new ArgumentException("Triangle should have 3 points");
}
var bigArea = AreaOfTriangle(triangle[0], triangle[1], triangle[2]);
var a1 = AreaOfTriangle(point, triangle[0], triangle[1]);
var a2 = AreaOfTriangle(point, triangle[0], triangle[2]);
var a3 = AreaOfTriangle(point, triangle[1], triangle[2]);
return(DoubleEquals(bigArea, (a1 + a2 + a3)));
}
//This function finds if the planets are aligned with each other
private List <CartesianCoordinates> GetDifferences()
{
var planetCoordinates = planetList.Select(p => p.position.polarPosition.ToCartesian()).ToList();
CartesianCoordinates coord = planetCoordinates[0];
var diffList = new List <CartesianCoordinates>();
for (int i = 1; i < planetCoordinates.Count; i++)
{
//Compare the previous planet with the current one
diffList.Add(planetCoordinates[i] - coord);
coord = planetCoordinates[i];
}
return(diffList);
}
//Override operators + - and equal in the cartesian operations
public bool Equals(CartesianCoordinates other, int precision)
{
return(X.EqualsPrecision(other.X, precision) && Y.EqualsPrecision(other.Y, precision));
}
public static double AreaOfTriangle(CartesianCoordinates p1, CartesianCoordinates p2, CartesianCoordinates p3)
{
return(Math.Abs((p1.X * (p2.Y - p3.Y) +
p2.X * (p3.Y - p1.Y) +
p3.X * (p1.Y - p2.Y)) / 2d));
}
public static bool LineFromTwoPointPassesOrigin(CartesianCoordinates p1, CartesianCoordinates p2)
{
return(DoubleEquals(p1.X * (p2.Y - p1.Y), p1.Y * (p2.X - p1.X)));
}
