public Simplex(Tuple <int, Vector <double> >[] edges, RiemannianSpace ambiantSpace) : base(edges)
{
var directionalVectors = new List <Vector <double> >();
foreach (var item in edges.Skip(1))
{
directionalVectors.Add(item.Item2 - BasePoint);
}
DirectionalVectors = directionalVectors.ToArray();
DimAmbiantSpace = BasePoint.Count();
Parametrization chart = x => {
var dir = Matrix <double> .Build.DenseOfColumnVectors(DirectionalVectors);
return(dir * x + BasePoint);
};
PushForward pushForward = x => {
return(Matrix <double> .Build.DenseOfColumnVectors(DirectionalVectors));
};
AmbiantSpace = ambiantSpace;
Trivialization = new LocalTrivialization(chart, pushForward, ambiantSpace);
}
