Exemple #1
0
        /*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)));
            }
        }
Exemple #2
0
        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);
        }
Exemple #3
0
        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);
        }