/*public VilenkinTransform(List<int> p, int blockSize) {
* this.expansionBase = new ExpansionBase(p);
* this.blockSize = blockSize;
* this.K = CountK();
* xs = ConstIntervalsUtils.Intervals(expansionBase, K);
* this.P = expansionBase.Pk(K);
* ParyX[] subXs;
* this.N = new Complex(1d / p.ElementAt(K), 0);
* rademacherMatrixes = new List<RademaxerMatrix>();
* for (int i = 0; i < expansionBase.Mk(K); i++) {
* subXs = ArrayUtils.SubArray(xs, i * P, P);
* rademacherMatrixes.Add(new RademaxerMatrix(expansionBase, subXs, K, N));
* }
* vilenkinXs = ConstIntervalsUtils.Intervals(expansionBase, K - 1);
* conjugatedWMatrix = MatrixUtils<Complex>.Conjugate(MatrixUtils<Complex>.BuildVilenkin(expansionBase, vilenkinXs));
* MatrixUtils<Complex>.Multiply(conjugatedWMatrix, new Complex(1d / expansionBase.Mk(K), 0));
* vilenkinFunctions = new Dictionary<int, VilenkinFunction>();
* for (int i = 0; i < expansionBase.Mk(K + 1); i++) {
* vilenkinFunctions.Add(i, new VilenkinFunction(expansionBase, new ParyN(expansionBase, i)));
* }
* }*/
public VilenkinTransform(List <int> p, int K)
{
this.expansionBase = new ExpansionBase(p);
this.K = K;
xs = ConstIntervalsUtils.Intervals(expansionBase, K);
this.blockSize = expansionBase.Mk(K + 1);
this.P = expansionBase.Pk(K);
ParyX[] subXs;
this.N = new Complex(1d / p.ElementAt(K), 0);
rademacherMatrixes = new List <RademaxerMatrix>();
for (int i = 0; i < expansionBase.Mk(K); i++)
{
subXs = ArrayUtils.SubArray(xs, i * P, P);
rademacherMatrixes.Add(new RademaxerMatrix(expansionBase, subXs, K, N));
}
vilenkinXs = ConstIntervalsUtils.Intervals(expansionBase, K - 1);
conjugatedWMatrix = MatrixUtils <Complex> .Conjugate(MatrixUtils <Complex> .BuildVilenkin(expansionBase, vilenkinXs));
MatrixUtils <Complex> .Multiply(conjugatedWMatrix, new Complex(1d / expansionBase.Mk(K), 0));
vilenkinFunctions = new Dictionary <int, VilenkinFunction>();
for (int i = 0; i < expansionBase.Mk(K + 1); i++)
{
vilenkinFunctions.Add(i, new VilenkinFunction(expansionBase, new ParyN(expansionBase, i)));
}
}
public static Complex[,] BuildRadamacher(ExpansionBase expBase, ParyX[] intervals, int k)
{
int N = intervals.Length;
Complex[,] matrix = new Complex[N, N];
RademacherFunction r = new RademacherFunction(expBase, k);
for (int i = 0; i < N; i++)
{
for (int j = 0; j < N; j++)
{
matrix[i, j] = r.Value(intervals[i], j);
}
}
return(matrix);
}
public static Complex[,] BuildVilenkin(ExpansionBase expBase, ParyX[] intervals)
{
int N = intervals.Length;
Complex[,] matrix = new Complex[N, N];
VilenkinFunction[] ws = new VilenkinFunction[N];
for (int i = 0; i < N; i++)
{
ws[i] = new VilenkinFunction(expBase, new ParyN(expBase, i));
}
for (int i = 0; i < N; i++)
{
for (int j = 0; j < N; j++)
{
matrix[i, j] = ws[j].Value(intervals[i]);
}
}
return(matrix);
}