protected VectorSet(VectorSet a)
{
Size = a.Dimension;
Ponderance = new double[Dimension];
for (int i = 0; i < Dimension; i++)
{
Ponderance[i] = a[i];
}
}
protected VectorSet(VectorSet a)
{
Size = a.Dimension;
Ponderance = new double[Dimension];
for (int i = 0; i < Dimension; i++)
{
Ponderance[i] = a[i];
}
}
/// <summary>
/// Multiplies a vector by a scalar to produce a new vector.
/// </summary>
/// <param name="a">A scalar.</param>
/// <param name="b">A vector.</param>
/// <returns>The vector <paramref name="a"/>*<paramref name="b"/>.</returns>
public static Vector Multiply(double a, VectorSet b)
{
Vector v = new Vector(b.Dimension);
for (int i = 0; i < b.Dimension; i++)
{
v[i] = b[i] * a;
}
return(v);
}
/// <summary>
/// Determines whether two vectors are exactly equal.
/// </summary>
/// <param name="a">The first vector.</param>
/// <param name="b">The second vector.</param>
/// <returns><c>true</c> if the two vectors are equal; otherwise, <c>false</c>.</returns>
public static bool Compare(VectorSet a, VectorSet b)
{
if ((object)a == null && (object)b == null)
{
return(true);
}
else if ((object)a == null && (object)b != null)
{
return(false);
}
else
{
return(a.Equals(b));
}
}
/// <summary>
/// Returns the dot product of two vectors.
/// </summary>
/// <param name="a">The first vector.</param>
/// <param name="b">The second vector.</param>
/// <returns>The dot product of <paramref name="a"/> and <paramref name="b"/>.</returns>
public static double Dot(VectorSet a, VectorSet b)
{
if (a.Dimension != b.Dimension)
{
throw (new DimensionsNotEqualException());
}
double d = 0.0;
for (int i = 0; i < a.Dimension; i++)
{
d += a[i] * b[i];
}
return(d);
}
/// <summary>
/// Adds two vectors to produce a new vector.
/// </summary>
/// <param name="a">The first vector.</param>
/// <param name="b">The second vector.</param>
/// <returns>The vector <paramref name="a"/> + <paramref name="b"/>.</returns>
public static Vector Add(VectorSet a, VectorSet b)
{
if (a.Dimension != b.Dimension)
{
throw (new DimensionsNotEqualException());
}
Vector v = new Vector(a.Dimension);
for (int i = 0; i < ((VectorSet)a).Dimension; i++)
{
v[i] = a[i] + b[i];
}
return(v);
}
/// <summary>
/// Negate a vector.
/// </summary>
/// <param name="v">A vector.</param>
/// <returns>The vector -<paramref name="v"/>.</returns>
public static Vector Negate(VectorSet a)
{
return(Multiply(-1, a));
}
/// <summary>
/// The opposite direction of the vector.
/// </summary>
/// <returns>new vector.</returns>
public Vector OppositeDirections()
{
return(VectorSet.Negate(this));
}
/// <summary>
/// Adds two vectors to produce a new vector.
/// </summary>
/// <param name="a">The first vector.</param>
/// <param name="b">The second vector.</param>
/// <returns>The vector <paramref name="a"/> + <paramref name="b"/>.</returns>
public static Vector Add(VectorSet a, VectorSet b)
{
if (a.Dimension != b.Dimension)
{
throw (new DimensionsNotEqualException());
}
Vector v = new Vector(a.Dimension);
for (int i = 0; i < ((VectorSet)a).Dimension; i++)
{
v[i] = a[i] + b[i];
}
return v;
}
/// <summary>
/// Subtracts a vector from a vector to produce a new vector.
/// </summary>
/// <param name="a">The first vector.</param>
/// <param name="b">The second vector.</param>
/// <returns>The vector <paramref name="a"/> - <paramref name="b"/>.</returns>
public static Vector Subtract(VectorSet a, VectorSet b)
{
return Add(a, Negate(b));
}
/// <summary>
/// Negate a vector.
/// </summary>
/// <param name="v">A vector.</param>
/// <returns>The vector -<paramref name="v"/>.</returns>
public static Vector Negate(VectorSet a)
{
return Multiply(-1, a);
}
/// <summary>
/// Multiplies a vector by a scalar to produce a new vector.
/// </summary>
/// <param name="a">A scalar.</param>
/// <param name="b">A vector.</param>
/// <returns>The vector <paramref name="a"/>*<paramref name="b"/>.</returns>
public static Vector Multiply(double a, VectorSet b)
{
Vector v = new Vector(b.Dimension);
for (int i = 0; i < b.Dimension; i++)
{
v[i] = b[i] * a;
}
return v;
}
/// <summary>
/// Returns the dot product of two vectors.
/// </summary>
/// <param name="a">The first vector.</param>
/// <param name="b">The second vector.</param>
/// <returns>The dot product of <paramref name="a"/> and <paramref name="b"/>.</returns>
public static double Dot(VectorSet a, VectorSet b)
{
if (a.Dimension != b.Dimension)
{
throw (new DimensionsNotEqualException());
}
double d = 0.0;
for (int i = 0; i < a.Dimension; i++)
{
d += a[i] * b[i];
}
return d;
}
/// <summary>
/// Determines whether two vectors are exactly equal.
/// </summary>
/// <param name="a">The first vector.</param>
/// <param name="b">The second vector.</param>
/// <returns><c>true</c> if the two vectors are equal; otherwise, <c>false</c>.</returns>
public static bool Compare(VectorSet a, VectorSet b)
{
if ((object)a == null && (object)b == null)
{
return true;
}
else if ((object)a == null && (object)b != null)
{
return false;
}
else
{
return a.Equals(b);
}
}
public Vector(VectorSet a)
: base(a)
{
}
/// <summary>
/// Subtracts a vector from a vector to produce a new vector.
/// </summary>
/// <param name="a">The first vector.</param>
/// <param name="b">The second vector.</param>
/// <returns>The vector <paramref name="a"/> - <paramref name="b"/>.</returns>
public static Vector Subtract(VectorSet a, VectorSet b)
{
return(Add(a, Negate(b)));
}
public Vector(VectorSet a) : base(a)
{
}