public static ICurve <V> Bezier2 <V>(this IVectorSpace <Fraction, V> space, IArray <V> vectors)
{
return(new Curve <V>(
atF: scale =>
{
if (vectors.Size == 0)
{
return space.Zero;
}
if (vectors.Size == 1)
{
return vectors[0];
}
var left = space.Bezier2(vectors.Range(0, vectors.Size - 1))[scale];
var right = space.Bezier2(vectors.Range(1, vectors.Size))[scale];
return space.Interpolate(left, right)(scale);
}));
}
public static ICurve <V> Bezier1 <V>(this IVectorSpace <Fraction, V> space, IArray <V> vectors)
{
return(new Curve <V>(
atF: scale =>
{
if (vectors.Size == 0)
{
return space.Zero;
}
if (vectors.Size == 1)
{
return vectors[0];
}
IArray <V> segments = new Array <V>(
size: vectors.Size - 1U,
atF: index => space.Interpolate(vectors[index], vectors[index + 1])(scale));
segments = segments.Concrete().Abstract();
return space.Bezier1 <V>(segments)[scale];
}));
}