/// <summary>
/// Multiply vector with a number
/// </summary>
/// <param name="a"></param>
/// <param name="b"></param>
/// <returns></returns>
public static VectorNInt operator *(VectorNInt a, int b)
{
VectorNInt output = new VectorNInt(a.Dimensions);
for (int i = 0; i < a.Dimensions; i++)
{
output.SetDimension(i, a.GetDimension(i) * b);
}
return(output);
}
/// <summary>
/// Subtract two vectors
/// </summary>
/// <param name="a"></param>
/// <param name="b"></param>
/// <returns></returns>
public static VectorNInt operator -(VectorNInt a, VectorNInt b)
{
if (a.Dimensions != b.Dimensions)
{
return(null);
}
VectorNInt output = new VectorNInt(a.Dimensions);
for (int i = 0; i < a.Dimensions; i++)
{
output.SetDimension(i, a.GetDimension(i) - b.GetDimension(i));
}
return(output);
}
/// <summary>
/// Calculate dot product of two vectors
/// </summary>
/// <param name="a"></param>
/// <param name="b"></param>
/// <returns></returns>
public static int DotProduct(VectorNInt a, VectorNInt b)
{
if (a.Dimensions != b.Dimensions)
{
return(0);
}
int sum = 0;
for (int i = 0; i < a.Dimensions; i++)
{
sum += a.GetDimension(i) * b.GetDimension(i);
}
return(sum);
}
/// <summary>
/// Manhattan distance between 2 vectors
/// </summary>
/// <param name="a"></param>
/// <param name="b"></param>
/// <returns></returns>
public static int DistanceManhattan(VectorNInt a, VectorNInt b)
{
if (a.Dimensions != b.Dimensions)
{
return(0);
}
int sum = 0;
for (int i = 0; i < a.Dimensions; i++)
{
sum += Math.Abs(a.GetDimension(i) - b.GetDimension(i));
}
return(sum);
}
/// <summary>
/// Distance between 2 vectors
/// </summary>
/// <param name="a"></param>
/// <param name="b"></param>
/// <returns></returns>
public static double Distance(VectorNInt a, VectorNInt b)
{
if (a.Dimensions != b.Dimensions)
{
return(0);
}
double sum = 0;
for (int i = 0; i < a.Dimensions; i++)
{
sum += Math.Pow(a.GetDimension(i) - b.GetDimension(i), 2);
}
return(Math.Sqrt(sum));
}
/// <summary>
/// Cross product of two vectors
/// </summary>
/// <param name="a"></param>
/// <param name="b"></param>
/// <returns></returns>
public static VectorNInt operator *(VectorNInt a, VectorNInt b)
{
if (a.Dimensions != b.Dimensions)
{
return(null);
}
VectorNInt output = new VectorNInt(a.Dimensions);
for (int i = 0; i < a.Dimensions; i++)
{
// TODO: calculate cross product
// https://math.stackexchange.com/questions/2371022/cross-product-in-higher-dimensions/2371039
// f**k it, not happening
}
return(output);
}
public bool Equals(VectorNInt other)
{
// check dimension count
if (Dimensions != other.Dimensions)
{
return(false);
}
// check if each dimension is close
for (int i = 0; i < Dimensions; i++)
{
// stop after first which differs
if (Math.Abs(GetDimension(i) - other.GetDimension(i)) > 0.000001)
{
return(false);
}
}
return(true);
}
