GigaFFTTest.cs

﻿using System;
using System.IO;
using System.Numerics;
using System.Runtime.InteropServices;

namespace GigaFFT
{
    public class GigaFFTTest
    {

        /// <summary>
        /// Smallest RAM storage should be empty and fully readable after it is completely filled with 4K Complex arrays
        /// </summary>
        public static void Test1()
        {
            if (Complex4Ks.totalRAM != 3L * 1024 * 1024 * 1024)
            {
                throw new Exception();
            }
            using (Complex4Ks data = new Complex4Ks(8192))
            {
                for (long index = 0; index < data.Length4ks; index++)
                {
                    data[index] = new Complex[4096];
                }
                for (long index = 0; index < data.Length4ks; index++)
                {
                    Complex[] fourK = data[index];
                    foreach (Complex entry in fourK)
                    {
                        if (!entry.Equals(Complex.Zero))
                        {
                            throw new Exception();
                        }
                    }
                }
            }
        }

        /// <summary>
        /// Smallest file storage should be empty and fully readable after it is completely filled with 4K Complex arrays
        /// </summary>
        public static void Test2()
        {
            Complex4Ks.totalRAM = 0;
            using (Complex4Ks data = new Complex4Ks(8192))
            {
                for (long index = 0; index < data.Length4ks; index++)
                {
                    data[index] = new Complex[4096];
                }
                for (long index = 0; index < data.Length4ks; index++)
                {
                    Complex[] fourK = data[index];
                    foreach (Complex entry in fourK)
                    {
                        if (!entry.Equals(Complex.Zero))
                        {
                            throw new Exception();
                        }
                    }
                }
            }
            Complex4Ks.totalRAM = 3L * 1024 * 1024 * 1024;
        }

        /// <summary>
        /// Smallest file storage should create file of exact size to fit exact amount of Complex values
        /// </summary>
        public static void Test3()
        {
            Complex4Ks.totalRAM = 0;
            string fileName = null;
            using (Complex4Ks data = new Complex4Ks(8192))
            {
                fileName = data.FileName;
                long length = new System.IO.FileInfo(fileName).Length;
                if (length != data.Length4ks * 4096 * Marshal.SizeOf(typeof(Complex)))
                {
                    throw new Exception();
                }
            }
        }

        /// <summary>
        /// Smallest file storage should erase file on disk after it is disposed
        /// </summary>
        public static void Test4()
        {
            Complex4Ks.totalRAM = 0;
            string fileName = null;
            using (Complex4Ks data = new Complex4Ks(8192))
            {
                fileName = data.FileName;
                for (long index = 0; index < data.Length4ks; index++)
                {
                    data[index] = new Complex[4096];
                }
                if (!File.Exists(data.FileName))
                {
                    throw new Exception();
                }
            }
            if (File.Exists(fileName))
            {
                throw new Exception();
            }
            Complex4Ks.totalRAM = 3L * 1024 * 1024 * 1024;
        }

        /// <summary>
        /// Smallest RAM storage should retain values
        /// </summary>
        public static void Test5()
        {
            if (Complex4Ks.totalRAM != 3L * 1024 * 1024 * 1024)
            {
                throw new Exception();
            }
            using (Complex4Ks data = new Complex4Ks(8192))
            {
                for (long index = 0; index < data.Length4ks; index++)
                {
                    Complex[] fourK = new Complex[4096];
                    for (int i = 0; i < fourK.Length; i++)
                    {
                        fourK[i] = new Complex(index, i);
                    }
                    data[index] = fourK;
                }
                for (long index = 0; index < data.Length4ks; index++)
                {
                    Complex[] fourK = data[index];
                    for (int i = 0; i < fourK.Length; i++)
                    {
                        if (!fourK[i].Equals(new Complex(index, i)))
                        {
                            throw new Exception();
                        }
                    }
                }
            }
        }

        /// <summary>
        /// Smallest file storage should retain values
        /// </summary>
        public static void Test6()
        {
            Complex4Ks.totalRAM = 0;
            using (Complex4Ks data = new Complex4Ks(8192))
            {
                for (long index = 0; index < data.Length4ks; index++)
                {
                    Complex[] fourK = new Complex[4096];
                    for (int i = 0; i < fourK.Length; i++)
                    {
                        fourK[i] = new Complex(index, i);
                    }
                    data[index] = fourK;
                }
                for (long index = 0; index < data.Length4ks; index++)
                {
                    Complex[] fourK = data[index];
                    for (int i = 0; i < fourK.Length; i++)
                    {
                        if (!fourK[i].Equals(new Complex(index, i)))
                        {
                            throw new Exception();
                        }
                    }
                }
            }
            Complex4Ks.totalRAM = 3L * 1024 * 1024 * 1024;
        }

        /// <summary>
        /// Smallest plain array Zero FFT should provide Zeroes
        /// </summary>
        public static void Test7()
        {
            Complex[] data = new Complex[4096];
            Complex[] result = FourierTransform.FFT(data);
            foreach (Complex entry in result)
            {
                if (!entry.Equals(Complex.Zero))
                {
                    throw new Exception();
                }
            }
        }

        /// <summary>
        /// Smallest plain array Zero FFT starting with One should provide Ones 
        /// </summary>
        public static void Test8()
        {
            Complex[] data = new Complex[4096];
            data[0] = Complex.One;
            Complex[] result = FourierTransform.FFT(data);
            foreach (Complex entry in result)
            {
                if (!entry.Equals(Complex.One))
                {
                    throw new Exception();
                }
            }
        }

        /// <summary>
        /// Smallest plain array Zero FFT having 2nd element = One should provide particular vector
        /// </summary>
        public static void Test9()
        {
            Complex[] data = new Complex[4096];
            data[1] = Complex.One;
            Complex[] result = FourierTransform.FFT(data);
            Complex[] expect = GigaFFTTest.ConstTestVector_4096_FFT_of_00_10_00_etc();
            for (int i = 0; i < result.Length; i++)
            {
                if (Math.Abs(result[i].Real - expect[i].Real) > Math.Max(Math.Abs(expect[i].Real / 1000000000), 0.000000001))
                {
                    throw new Exception();
                }
                if (Math.Abs(result[i].Imaginary - expect[i].Imaginary) > Math.Max(Math.Abs(expect[i].Imaginary / 1000000000), 0.000000001))
                {
                    throw new Exception();
                }
            }
        }

        /// <summary>
        /// Smallest RAM storaged Zero FFT should provide Zeroes
        /// </summary>
        public static void Test10()
        {
            if (Complex4Ks.totalRAM != 3L * 1024 * 1024 * 1024)
            {
                throw new Exception();
            }
            using (Complex4Ks data = new Complex4Ks(8192))
            {
                for (long index = 0; index < data.Length4ks; index++)
                {
                    data[index] = new Complex[4096];
                }
                using (Complex4Ks result = FourierTransform.FFT(data))
                {
                    for (long index = 0; index < result.Length4ks; index++)
                    {
                        Complex[] fourK = result[index];
                        foreach (Complex entry in fourK)
                        {
                            if (!entry.Equals(Complex.Zero))
                            {
                                throw new Exception();
                            }
                        }
                    }
                }
            }
        }

        /// <summary>
        /// Smallest RAM storaged Zero FFT starting with One should provide Ones
        /// </summary>
        public static void Test11()
        {
            if (Complex4Ks.totalRAM != 3L * 1024 * 1024 * 1024)
            {
                throw new Exception();
            }
            using (Complex4Ks data = new Complex4Ks(8192))
            {
                Complex[] oneAndZeroes = new Complex[4096];
                oneAndZeroes[0] = Complex.One;
                data[0] = oneAndZeroes;
                data[1] = new Complex[4096];
                using (Complex4Ks result = FourierTransform.FFT(data))
                {
                    for (long index = 0; index < result.Length4ks; index++)
                    {
                        Complex[] fourK = result[index];
                        foreach (Complex entry in fourK)
                        {
                            if (!entry.Equals(Complex.One))
                            {
                                throw new Exception();
                            }
                        }
                    }
                }
            }
        }

        /// <summary>
        /// Smallest RAM storaged Zero FFT having 2nd element = One should provide particular vector
        /// </summary>
        public static void Test12()
        {
            if (Complex4Ks.totalRAM != 3L * 1024 * 1024 * 1024)
            {
                throw new Exception();
            }
            using (Complex4Ks data = new Complex4Ks(8192))
            {
                Complex[] zeroOneAndZeroes = new Complex[4096];
                zeroOneAndZeroes[1] = Complex.One;
                data[0] = zeroOneAndZeroes;
                data[1] = new Complex[4096];
                using (Complex4Ks result = FourierTransform.FFT(data))
                {
                    Complex[] fourK = result[0];
                    Complex[] expect = ConstTestVector_8192_LO_FFT_of_00_10_00_etc();
                    for (int i = 0; i < fourK.Length; i++)
                    {
                        if (Math.Abs(fourK[i].Real - expect[i].Real) > Math.Max(Math.Abs(expect[i].Real / 1000000), 0.000001))
                        {
                            throw new Exception();
                        }
                        if (Math.Abs(fourK[i].Imaginary - expect[i].Imaginary) > Math.Max(Math.Abs(expect[i].Imaginary / 1000000), 0.000001))
                        {
                            throw new Exception();
                        }
                    }
                    fourK = result[1];
                    expect = ConstTestVector_8192_HI_FFT_of_00_10_00_etc();
                    for (int i = 0; i < fourK.Length; i++)
                    {
                        if (Math.Abs(fourK[i].Real - expect[i].Real) > Math.Max(Math.Abs(expect[i].Real / 1000000), 0.000001))
                        {
                            throw new Exception();
                        }
                        if (Math.Abs(fourK[i].Imaginary - expect[i].Imaginary) > Math.Max(Math.Abs(expect[i].Imaginary / 1000000), 0.000001))
                        {
                            throw new Exception();
                        }
                    }
                }
            }
        }

        /// <summary>
        /// Smallest file storaged Zero FFT should provide Zeroes
        /// </summary>
        public static void Test13()
        {
            Complex4Ks.totalRAM = 0;
            using (Complex4Ks data = new Complex4Ks(8192))
            {
                for (long index = 0; index < data.Length4ks; index++)
                {
                    data[index] = new Complex[4096];
                }
                using (Complex4Ks result = FourierTransform.FFT(data))
                {
                    for (long index = 0; index < result.Length4ks; index++)
                    {
                        Complex[] fourK = result[index];
                        foreach (Complex entry in fourK)
                        {
                            if (!entry.Equals(Complex.Zero))
                            {
                                throw new Exception();
                            }
                        }
                    }
                }
            }
            Complex4Ks.totalRAM = 3L * 1024 * 1024 * 1024;
        }

        /// <summary>
        /// Smallest file storaged Zero FFT starting with One should provide Ones
        /// </summary>
        public static void Test14()
        {
            Complex4Ks.totalRAM = 0;
            using (Complex4Ks data = new Complex4Ks(8192))
            {
                Complex[] oneAndZeroes = new Complex[4096];
                oneAndZeroes[0] = Complex.One;
                data[0] = oneAndZeroes;
                data[1] = new Complex[4096];
                using (Complex4Ks result = FourierTransform.FFT(data))
                {
                    for (long index = 0; index < result.Length4ks; index++)
                    {
                        Complex[] fourK = result[index];
                        foreach (Complex entry in fourK)
                        {
                            if (!entry.Equals(Complex.One))
                            {
                                throw new Exception();
                            }
                        }
                    }
                }
            }
            Complex4Ks.totalRAM = 3L * 1024 * 1024 * 1024;
        }

        /// <summary>
        /// Smallest file storaged Zero FFT having 2nd element = One should provide particular vector
        /// </summary>
        public static void Test15()
        {
            Complex4Ks.totalRAM = 0;
            using (Complex4Ks data = new Complex4Ks(8192))
            {
                Complex[] zeroOneAndZeroes = new Complex[4096];
                zeroOneAndZeroes[1] = Complex.One;
                data[0] = zeroOneAndZeroes;
                data[1] = new Complex[4096];
                using (Complex4Ks result = FourierTransform.FFT(data))
                {
                    Complex[] fourK = result[0];
                    Complex[] expect = ConstTestVector_8192_LO_FFT_of_00_10_00_etc();
                    for (int i = 0; i < fourK.Length; i++)
                    {
                        if (Math.Abs(fourK[i].Real - expect[i].Real) > Math.Max(Math.Abs(expect[i].Real / 1000000), 0.000001))
                        {
                            throw new Exception();
                        }
                        if (Math.Abs(fourK[i].Imaginary - expect[i].Imaginary) > Math.Max(Math.Abs(expect[i].Imaginary / 1000000), 0.000001))
                        {
                            throw new Exception();
                        }
                    }
                    fourK = result[1];
                    expect = ConstTestVector_8192_HI_FFT_of_00_10_00_etc();
                    for (int i = 0; i < fourK.Length; i++)
                    {
                        if (Math.Abs(fourK[i].Real - expect[i].Real) > Math.Max(Math.Abs(expect[i].Real / 1000000), 0.000001))
                        {
                            throw new Exception();
                        }
                        if (Math.Abs(fourK[i].Imaginary - expect[i].Imaginary) > Math.Max(Math.Abs(expect[i].Imaginary / 1000000), 0.000001))
                        {
                            throw new Exception();
                        }
                    }
                }
            }
            Complex4Ks.totalRAM = 3L * 1024 * 1024 * 1024;
        }

        /// <summary>
        /// RAM storage and smallest file storaged non Zero FFT should match exactly
        /// </summary>
        public static void Test16()
        {
            Complex4Ks result1;
            Complex4Ks result2;

            Complex4Ks.totalRAM = 0;
            using (Complex4Ks data = new Complex4Ks(8192))
            {
                Complex[] zeroOneAndZeroes = new Complex[4096];
                zeroOneAndZeroes[1] = Complex.One;
                data[0] = zeroOneAndZeroes;
                data[1] = new Complex[4096];
                result1 = FourierTransform.FFT(data);
            }
            Complex4Ks.totalRAM = 3L * 1024 * 1024 * 1024;
            using (Complex4Ks data = new Complex4Ks(8192))
            {
                Complex[] zeroOneAndZeroes = new Complex[4096];
                zeroOneAndZeroes[1] = Complex.One;
                data[0] = zeroOneAndZeroes;
                data[1] = new Complex[4096];
                result2 = FourierTransform.FFT(data);
            }
            Complex[] fourK1 = result1[0];
            Complex[] fourK2 = result2[0];
            for (int i = 0; i < fourK1.Length; i++)
            {
                if (!fourK1[i].Equals(fourK2[i]))
                {
                    throw new Exception();
                }
            }
            fourK1 = result1[1];
            fourK2 = result2[1];
            for (int i = 0; i < fourK1.Length; i++)
            {
                if (!fourK1[i].Equals(fourK2[i]))
                {
                    throw new Exception();
                }
            }
            result1.Dispose();
            result2.Dispose();
        }

        /// <summary>
        /// Medium file storage FFT should match in core FFT exactly for given mixed sample
        /// </summary>
        public static void Test17()
        {
            Complex4Ks.totalRAM = 0;

            string[] try1 = new string[11];
            string[] try2 = new string[11];
            using (Complex4Ks data = new Complex4Ks(1024 * 1024))
            {
                Complex[] empty = new Complex[4096];
                for (int index = 0; index < data.Length4ks; index++)
                {
                    data[index] = empty;
                }
                Complex[] filled = new Complex[4096];
                filled[244] = Complex.One;
                filled[444] = Complex.One * 2.2;
                data[7] = filled;
                using (Complex4Ks result = FourierTransform.FFT(data))
                { 
                    long bin = 0;
                    for (int index = 0; index < result.Length4ks; index++)
                    {
                        Complex[] fourK = result[index];
                        for (int i = 0; i < fourK.Length; i++)
                        {
                            if (bin > 60000 && bin < 60010)
                                try1[bin - 60000] = bin + " " + fourK[i].Real + " " + fourK[i].Imaginary;
                            bin++;
                        }
                    }
                }
            }

            Complex[] z = new Complex[1024 * 1024];
            z[7 * 4096 + 244] = Complex.One;
            z[7 * 4096 + 444] = Complex.One * 2.2;
            Complex[] zz = FourierTransform.FFT(z);
            long bin2 = 0;
            for (int i = 0; i < z.Length; i++)
            {
                if (bin2 > 60000 && bin2 < 60010)
                try2[bin2 - 60000] = bin2 + " " + zz[i].Real + " " + zz[i].Imaginary;
                bin2++;
            }
            for (int i = 0; i < try1.Length; i++)
            { 
                if (string.Compare(try1[i], try2[i]) != 0)
                    throw new Exception();
            }
            Complex4Ks.totalRAM = 3L * 1024 * 1024 * 1024;
        }

        /// <summary>
        /// Medium in core storage FFT should match flat array FFT exactly for given mixed sample
        /// </summary>
        public static void Test18()
        {
            Complex4Ks.totalRAM = 3L * 1024 * 1024 * 1024;

            string[] try1 = new string[11];
            string[] try2 = new string[11];
            
            using (Complex4Ks data = new Complex4Ks(1024 * 1024))
            {
                Complex[] empty = new Complex[4096];
                for (int index = 0; index < data.Length4ks; index++)
                {
                    data[index] = empty;
                }
                Complex[] filled = new Complex[4096];
                filled[244] = Complex.One;
                filled[444] = Complex.One * 2.2;
                data[7] = filled;
                using (Complex4Ks result = FourierTransform.FFT(data))
                {
                    long bin = 0;
                    for (int index = 0; index < result.Length4ks; index++)
                    {
                        Complex[] fourK = result[index];
                        for (int i = 0; i < fourK.Length; i++)
                        {
                            if (bin > 60000 && bin < 60010)
                                try1[bin - 60000] = bin + " " + fourK[i].Real + " " + fourK[i].Imaginary;
                            bin++;
                        }
                    }
                }
            }

            Complex[] z = new Complex[1024 * 1024];
            z[7 * 4096 + 244] = Complex.One;
            z[7 * 4096 + 444] = Complex.One * 2.2;
            Complex[] zz = FourierTransform.FFT(z);
            long bin2 = 0;
            for (int i = 0; i < z.Length; i++)
            {
                if (bin2 > 60000 && bin2 < 60010)
                    try2[bin2 - 60000] = bin2 + " " + zz[i].Real + " " + zz[i].Imaginary;
                bin2++;
            }
            for (int i = 0; i < try1.Length; i++)
            {
                if (string.Compare(try1[i], try2[i]) != 0)
                    throw new Exception();
            }
        }

        public static Complex[] ConstTestVector_4096_FFT_of_00_10_00_etc()
        {
            Complex[] result = new Complex[4096];
            result[0] = new Complex(1.0000000000000000, 0.000000000000000000);
            result[1] = new Complex(0.9999988234517020, -0.001533980186284770);
            result[2] = new Complex(0.9999952938095760, -0.003067956762965980);
            result[3] = new Complex(0.9999894110819280, -0.004601926120448570);
            result[4] = new Complex(0.9999811752826010, -0.006135884649154480);
            result[5] = new Complex(0.9999705864309740, -0.007669828739531100);
            result[6] = new Complex(0.9999576445519640, -0.009203754782059820);
            result[7] = new Complex(0.9999423496760240, -0.010737659167264500);
            result[8] = new Complex(0.9999247018391450, -0.012271538285719900);
            result[9] = new Complex(0.9999047010828530, -0.013805388528060400);
            result[10] = new Complex(0.9998823474542130, -0.015339206284988100);
            result[11] = new Complex(0.9998576410058240, -0.016872987947281700);
            result[12] = new Complex(0.9998305817958230, -0.018406729905804800);
            result[13] = new Complex(0.9998011698878840, -0.019940428551514400);
            result[14] = new Complex(0.9997694053512150, -0.021474080275469500);
            result[15] = new Complex(0.9997352882605620, -0.023007681468839400);
            result[16] = new Complex(0.9996988186962040, -0.024541228522912300);
            result[17] = new Complex(0.9996599967439590, -0.026074717829103900);
            result[18] = new Complex(0.9996188224951790, -0.027608145778965700);
            result[19] = new Complex(0.9995752960467490, -0.029141508764193700);
            result[20] = new Complex(0.9995294175010930, -0.030674803176636600);
            result[21] = new Complex(0.9994811869661670, -0.032208025408304600);
            result[22] = new Complex(0.9994306045554620, -0.033741171851377600);
            result[23] = new Complex(0.9993776703880030, -0.035274238898213900);
            result[24] = new Complex(0.9993223845883500, -0.036807222941358800);
            result[25] = new Complex(0.9992647472865940, -0.038340120373552700);
            result[26] = new Complex(0.9992047586183640, -0.039872927587739800);
            result[27] = new Complex(0.9991424187248170, -0.041405640977076700);
            result[28] = new Complex(0.9990777277526450, -0.042938256934940800);
            result[29] = new Complex(0.9990106858540730, -0.044470771854938700);
            result[30] = new Complex(0.9989412931868570, -0.046003182130914600);
            result[31] = new Complex(0.9988695499142840, -0.047535484156959300);
            result[32] = new Complex(0.9987954562051720, -0.049067674327418000);
            result[33] = new Complex(0.9987190122338730, -0.050599749036899300);
            result[34] = new Complex(0.9986402181802650, -0.052131704680283300);
            result[35] = new Complex(0.9985590742297590, -0.053663537652730500);
            result[36] = new Complex(0.9984755805732950, -0.055195244349689900);
            result[37] = new Complex(0.9983897374073400, -0.056726821166907700);
            result[38] = new Complex(0.9983015449338930, -0.058258264500435800);
            result[39] = new Complex(0.9982110033604780, -0.059789570746639900);
            result[40] = new Complex(0.9981181129001490, -0.061320736302208600);
            result[41] = new Complex(0.9980228737714860, -0.062851757564161400);
            result[42] = new Complex(0.9979252861985960, -0.064382630929857500);
            result[43] = new Complex(0.9978253504111120, -0.065913352797003800);
            result[44] = new Complex(0.9977230666441920, -0.067443919563664100);
            result[45] = new Complex(0.9976184351385200, -0.068974327628266700);
            result[46] = new Complex(0.9975114561403030, -0.070504573389613900);
            result[47] = new Complex(0.9974021299012750, -0.072034653246889300);
            result[48] = new Complex(0.9972904566786900, -0.073564563599667400);
            result[49] = new Complex(0.9971764367353260, -0.075094300847921300);
            result[50] = new Complex(0.9970600703394830, -0.076623861392031500);
            result[51] = new Complex(0.9969413577649820, -0.078153241632794200);
            result[52] = new Complex(0.9968202992911660, -0.079682437971430100);
            result[53] = new Complex(0.9966968952028960, -0.081211446809592400);
            result[54] = new Complex(0.9965711457905550, -0.082740264549375700);
            result[55] = new Complex(0.9964430513500430, -0.084268887593324100);
            result[56] = new Complex(0.9963126121827780, -0.085797312344439900);
            result[57] = new Complex(0.9961798285956970, -0.087325535206192100);
            result[58] = new Complex(0.9960447009012520, -0.088853552582524600);
            result[59] = new Complex(0.9959072294174120, -0.090381360877865000);
            result[60] = new Complex(0.9957674144676600, -0.091908956497132700);
            result[61] = new Complex(0.9956252563809940, -0.093436335845747800);
            result[62] = new Complex(0.9954807554919270, -0.094963495329639000);
            result[63] = new Complex(0.9953339121404820, -0.096490431355252600);
            result[64] = new Complex(0.9951847266721970, -0.098017140329560600);
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            result[4048] = new Complex(0.9972904566786900, 0.073564563599667700);
            result[4049] = new Complex(0.9974021299012750, 0.072034653246889500);
            result[4050] = new Complex(0.9975114561403030, 0.070504573389613900);
            result[4051] = new Complex(0.9976184351385200, 0.068974327628267000);
            result[4052] = new Complex(0.9977230666441920, 0.067443919563664200);
            result[4053] = new Complex(0.9978253504111120, 0.065913352797003800);
            result[4054] = new Complex(0.9979252861985960, 0.064382630929857700);
            result[4055] = new Complex(0.9980228737714860, 0.062851757564161500);
            result[4056] = new Complex(0.9981181129001490, 0.061320736302208500);
            result[4057] = new Complex(0.9982110033604780, 0.059789570746640100);
            result[4058] = new Complex(0.9983015449338930, 0.058258264500435800);
            result[4059] = new Complex(0.9983897374073400, 0.056726821166908100);
            result[4060] = new Complex(0.9984755805732950, 0.055195244349690100);
            result[4061] = new Complex(0.9985590742297590, 0.053663537652730500);
            result[4062] = new Complex(0.9986402181802650, 0.052131704680283600);
            result[4063] = new Complex(0.9987190122338730, 0.050599749036899400);
            result[4064] = new Complex(0.9987954562051720, 0.049067674327418000);
            result[4065] = new Complex(0.9988695499142840, 0.047535484156959500);
            result[4066] = new Complex(0.9989412931868570, 0.046003182130914700);
            result[4067] = new Complex(0.9990106858540730, 0.044470771854938600);
            result[4068] = new Complex(0.9990777277526450, 0.042938256934941000);
            result[4069] = new Complex(0.9991424187248170, 0.041405640977076800);
            result[4070] = new Complex(0.9992047586183640, 0.039872927587740100);
            result[4071] = new Complex(0.9992647472865940, 0.038340120373552900);
            result[4072] = new Complex(0.9993223845883500, 0.036807222941358800);
            result[4073] = new Complex(0.9993776703880030, 0.035274238898214200);
            result[4074] = new Complex(0.9994306045554620, 0.033741171851377700);
            result[4075] = new Complex(0.9994811869661670, 0.032208025408304500);
            result[4076] = new Complex(0.9995294175010930, 0.030674803176636900);
            result[4077] = new Complex(0.9995752960467490, 0.029141508764193800);
            result[4078] = new Complex(0.9996188224951790, 0.027608145778965700);
            result[4079] = new Complex(0.9996599967439590, 0.026074717829104100);
            result[4080] = new Complex(0.9996988186962040, 0.024541228522912300);
            result[4081] = new Complex(0.9997352882605620, 0.023007681468839700);
            result[4082] = new Complex(0.9997694053512150, 0.021474080275469700);
            result[4083] = new Complex(0.9998011698878840, 0.019940428551514400);
            result[4084] = new Complex(0.9998305817958230, 0.018406729905805100);
            result[4085] = new Complex(0.9998576410058240, 0.016872987947281800);
            result[4086] = new Complex(0.9998823474542130, 0.015339206284988100);
            result[4087] = new Complex(0.9999047010828530, 0.013805388528060600);
            result[4088] = new Complex(0.9999247018391450, 0.012271538285720000);
            result[4089] = new Complex(0.9999423496760240, 0.010737659167264400);
            result[4090] = new Complex(0.9999576445519640, 0.009203754782060020);
            result[4091] = new Complex(0.9999705864309740, 0.007669828739531140);
            result[4092] = new Complex(0.9999811752826010, 0.006135884649154800);
            result[4093] = new Complex(0.9999894110819280, 0.004601926120448730);
            result[4094] = new Complex(0.9999952938095760, 0.003067956762965980);
            result[4095] = new Complex(0.9999988234517020, 0.001533980186285050);
            return result;
        }

        public static Complex[] ConstTestVector_8192_LO_FFT_of_00_10_00_etc()
        {
            Complex[] result = new Complex[4096];
            result[0] = new Complex(1, 0);
            result[1] = new Complex(0.999999706, -0.00076699);
            result[2] = new Complex(0.999998823, -0.00153398);
            result[3] = new Complex(0.999997353, -0.002300969);
            result[4] = new Complex(0.999995294, -0.003067957);
            result[5] = new Complex(0.999992647, -0.003834943);
            result[6] = new Complex(0.999989411, -0.004601926);
            result[7] = new Complex(0.999985587, -0.005368907);
            result[8] = new Complex(0.999981175, -0.006135885);
            result[9] = new Complex(0.999976175, -0.006902859);
            result[10] = new Complex(0.999970586, -0.007669829);
            result[11] = new Complex(0.99996441, -0.008436794);
            result[12] = new Complex(0.999957645, -0.009203755);
            result[13] = new Complex(0.999950291, -0.00997071);
            result[14] = new Complex(0.99994235, -0.010737659);
            result[15] = new Complex(0.99993382, -0.011504602);
            result[16] = new Complex(0.999924702, -0.012271538);
            result[17] = new Complex(0.999914996, -0.013038467);
            result[18] = new Complex(0.999904701, -0.013805389);
            result[19] = new Complex(0.999893818, -0.014572302);
            result[20] = new Complex(0.999882347, -0.015339206);
            result[21] = new Complex(0.999870288, -0.016106102);
            result[22] = new Complex(0.999857641, -0.016872988);
            result[23] = new Complex(0.999844405, -0.017639864);
            result[24] = new Complex(0.999830582, -0.01840673);
            result[25] = new Complex(0.99981617, -0.019173585);
            result[26] = new Complex(0.99980117, -0.019940429);
            result[27] = new Complex(0.999785582, -0.020707261);
            result[28] = new Complex(0.999769405, -0.02147408);
            result[29] = new Complex(0.999752641, -0.022240887);
            result[30] = new Complex(0.999735288, -0.023007681);
            result[31] = new Complex(0.999717348, -0.023774462);
            result[32] = new Complex(0.999698819, -0.024541229);
            result[33] = new Complex(0.999679702, -0.025307981);
            result[34] = new Complex(0.999659997, -0.026074718);
            result[35] = new Complex(0.999639704, -0.02684144);
            result[36] = new Complex(0.999618822, -0.027608146);
            result[37] = new Complex(0.999597353, -0.028374836);
            result[38] = new Complex(0.999575296, -0.029141509);
            result[39] = new Complex(0.999552651, -0.029908165);
            result[40] = new Complex(0.999529418, -0.030674803);
            result[41] = new Complex(0.999505596, -0.031441424);
            result[42] = new Complex(0.999481187, -0.032208025);
            result[43] = new Complex(0.99945619, -0.032974608);
            result[44] = new Complex(0.999430605, -0.033741172);
            result[45] = new Complex(0.999404431, -0.034507716);
            result[46] = new Complex(0.99937767, -0.035274239);
            result[47] = new Complex(0.999350321, -0.036040742);
            result[48] = new Complex(0.999322385, -0.036807223);
            result[49] = new Complex(0.99929386, -0.037573683);
            result[50] = new Complex(0.999264747, -0.03834012);
            result[51] = new Complex(0.999235047, -0.039106535);
            result[52] = new Complex(0.999204759, -0.039872928);
            result[53] = new Complex(0.999173883, -0.040639296);
            result[54] = new Complex(0.999142419, -0.041405641);
            result[55] = new Complex(0.999110367, -0.042171961);
            result[56] = new Complex(0.999077728, -0.042938257);
            result[57] = new Complex(0.999044501, -0.043704527);
            result[58] = new Complex(0.999010686, -0.044470772);
            result[59] = new Complex(0.998976283, -0.04523699);
            result[60] = new Complex(0.998941293, -0.046003182);
            result[61] = new Complex(0.998905715, -0.046769347);
            result[62] = new Complex(0.99886955, -0.047535484);
            result[63] = new Complex(0.998832797, -0.048301593);
            result[64] = new Complex(0.998795456, -0.049067674);
            result[65] = new Complex(0.998757528, -0.049833726);
            result[66] = new Complex(0.998719012, -0.050599749);
            result[67] = new Complex(0.998679909, -0.051365742);
            result[68] = new Complex(0.998640218, -0.052131705);
            result[69] = new Complex(0.99859994, -0.052897637);
            result[70] = new Complex(0.998559074, -0.053663538);
            result[71] = new Complex(0.998517621, -0.054429407);
            result[72] = new Complex(0.998475581, -0.055195244);
            result[73] = new Complex(0.998432953, -0.055961049);
            result[74] = new Complex(0.998389737, -0.056726821);
            result[75] = new Complex(0.998345935, -0.05749256);
            result[76] = new Complex(0.998301545, -0.058258265);
            result[77] = new Complex(0.998256568, -0.059023935);
            result[78] = new Complex(0.998211003, -0.059789571);
            result[79] = new Complex(0.998164852, -0.060555171);
            result[80] = new Complex(0.998118113, -0.061320736);
            result[81] = new Complex(0.998070787, -0.062086265);
            result[82] = new Complex(0.998022874, -0.062851758);
            result[83] = new Complex(0.997974374, -0.063617213);
            result[84] = new Complex(0.997925286, -0.064382631);
            result[85] = new Complex(0.997875612, -0.065148011);
            result[86] = new Complex(0.99782535, -0.065913353);
            result[87] = new Complex(0.997774502, -0.066678656);
            result[88] = new Complex(0.997723067, -0.06744392);
            result[89] = new Complex(0.997671044, -0.068209144);
            result[90] = new Complex(0.997618435, -0.068974328);
            result[91] = new Complex(0.997565239, -0.069739471);
            result[92] = new Complex(0.997511456, -0.070504573);
            result[93] = new Complex(0.997457086, -0.071269634);
            result[94] = new Complex(0.99740213, -0.072034653);
            result[95] = new Complex(0.997346587, -0.07279963);
            result[96] = new Complex(0.997290457, -0.073564564);
            result[97] = new Complex(0.99723374, -0.074329454);
            result[98] = new Complex(0.997176437, -0.075094301);
            result[99] = new Complex(0.997118547, -0.075859103);
            result[100] = new Complex(0.99706007, -0.076623861);
            result[101] = new Complex(0.997001007, -0.077388574);
            result[102] = new Complex(0.996941358, -0.078153242);
            result[103] = new Complex(0.996881122, -0.078917863);
            result[104] = new Complex(0.996820299, -0.079682438);
            result[105] = new Complex(0.99675889, -0.080446966);
            result[106] = new Complex(0.996696895, -0.081211447);
            result[107] = new Complex(0.996634314, -0.08197588);
            result[108] = new Complex(0.996571146, -0.082740265);
            result[109] = new Complex(0.996507392, -0.083504601);
            result[110] = new Complex(0.996443051, -0.084268888);
            result[111] = new Complex(0.996378125, -0.085033125);
            result[112] = new Complex(0.996312612, -0.085797312);
            result[113] = new Complex(0.996246513, -0.086561449);
            result[114] = new Complex(0.996179829, -0.087325535);
            result[115] = new Complex(0.996112558, -0.08808957);
            result[116] = new Complex(0.996044701, -0.088853553);
            result[117] = new Complex(0.995976258, -0.089617483);
            result[118] = new Complex(0.995907229, -0.090381361);
            result[119] = new Complex(0.995837615, -0.091145185);
            result[120] = new Complex(0.995767414, -0.091908956);
            result[121] = new Complex(0.995696628, -0.092672673);
            result[122] = new Complex(0.995625256, -0.093436336);
            result[123] = new Complex(0.995553299, -0.094199943);
            result[124] = new Complex(0.995480755, -0.094963495);
            result[125] = new Complex(0.995407627, -0.095726991);
            result[126] = new Complex(0.995333912, -0.096490431);
            result[127] = new Complex(0.995259612, -0.097253814);
            result[128] = new Complex(0.995184727, -0.09801714);
            result[129] = new Complex(0.995109256, -0.098780409);
            result[130] = new Complex(0.995033199, -0.099543619);
            result[131] = new Complex(0.994956558, -0.10030677);
            result[132] = new Complex(0.994879331, -0.101069863);
            result[133] = new Complex(0.994801519, -0.101832896);
            result[134] = new Complex(0.994723121, -0.102595869);
            result[135] = new Complex(0.994644138, -0.103358782);
            result[136] = new Complex(0.994564571, -0.104121634);
            result[137] = new Complex(0.994484418, -0.104884425);
            result[138] = new Complex(0.99440368, -0.105647154);
            result[139] = new Complex(0.994322357, -0.106409821);
            result[140] = new Complex(0.994240449, -0.107172425);
            result[141] = new Complex(0.994157957, -0.107934966);
            result[142] = new Complex(0.994074879, -0.108697444);
            result[143] = new Complex(0.993991217, -0.109459858);
            result[144] = new Complex(0.99390697, -0.110222207);
            result[145] = new Complex(0.993822138, -0.110984492);
            result[146] = new Complex(0.993736722, -0.111746711);
            result[147] = new Complex(0.993650721, -0.112508865);
            result[148] = new Complex(0.993564136, -0.113270952);
            result[149] = new Complex(0.993476966, -0.114032973);
            result[150] = new Complex(0.993389211, -0.114794927);
            result[151] = new Complex(0.993300872, -0.115556813);
            result[152] = new Complex(0.993211949, -0.116318631);
            result[153] = new Complex(0.993122442, -0.117080381);
            result[154] = new Complex(0.99303235, -0.117842062);
            result[155] = new Complex(0.992941674, -0.118603673);
            result[156] = new Complex(0.992850414, -0.119365215);
            result[157] = new Complex(0.99275857, -0.120126686);
            result[158] = new Complex(0.992666142, -0.120888087);
            result[159] = new Complex(0.99257313, -0.121649417);
            result[160] = new Complex(0.992479535, -0.122410675);
            result[161] = new Complex(0.992385355, -0.123171861);
            result[162] = new Complex(0.992290591, -0.123932975);
            result[163] = new Complex(0.992195244, -0.124694016);
            result[164] = new Complex(0.992099313, -0.125454983);
            result[165] = new Complex(0.992002799, -0.126215877);
            result[166] = new Complex(0.9919057, -0.126976696);
            result[167] = new Complex(0.991808019, -0.127737441);
            result[168] = new Complex(0.991709754, -0.128498111);
            result[169] = new Complex(0.991610905, -0.129258705);
            result[170] = new Complex(0.991511473, -0.130019223);
            result[171] = new Complex(0.991411458, -0.130779664);
            result[172] = new Complex(0.99131086, -0.131540029);
            result[173] = new Complex(0.991209678, -0.132300316);
            result[174] = new Complex(0.991107914, -0.133060525);
            result[175] = new Complex(0.991005566, -0.133820656);
            result[176] = new Complex(0.990902635, -0.134580709);
            result[177] = new Complex(0.990799122, -0.135340682);
            result[178] = new Complex(0.990695025, -0.136100575);
            result[179] = new Complex(0.990590346, -0.136860389);
            result[180] = new Complex(0.990485084, -0.137620122);
            result[181] = new Complex(0.99037924, -0.138379774);
            result[182] = new Complex(0.990272812, -0.139139344);
            result[183] = new Complex(0.990165803, -0.139898833);
            result[184] = new Complex(0.99005821, -0.140658239);
            result[185] = new Complex(0.989950036, -0.141417563);
            result[186] = new Complex(0.989841278, -0.142176804);
            result[187] = new Complex(0.989731939, -0.14293596);
            result[188] = new Complex(0.989622017, -0.143695033);
            result[189] = new Complex(0.989511514, -0.144454021);
            result[190] = new Complex(0.989400428, -0.145212925);
            result[191] = new Complex(0.98928876, -0.145971742);
            result[192] = new Complex(0.98917651, -0.146730474);
            result[193] = new Complex(0.989063678, -0.14748912);
            result[194] = new Complex(0.988950265, -0.148247679);
            result[195] = new Complex(0.988836269, -0.149006151);
            result[196] = new Complex(0.988721692, -0.149764535);
            result[197] = new Complex(0.988606533, -0.150522831);
            result[198] = new Complex(0.988490793, -0.151281038);
            result[199] = new Complex(0.988374471, -0.152039156);
            result[200] = new Complex(0.988257568, -0.152797185);
            result[201] = new Complex(0.988140083, -0.153555124);
            result[202] = new Complex(0.988022017, -0.154312973);
            result[203] = new Complex(0.98790337, -0.155070731);
            result[204] = new Complex(0.987784142, -0.155828398);
            result[205] = new Complex(0.987664332, -0.156585973);
            result[206] = new Complex(0.987543942, -0.157343456);
            result[207] = new Complex(0.98742297, -0.158100846);
            result[208] = new Complex(0.987301418, -0.158858143);
            result[209] = new Complex(0.987179285, -0.159615347);
            result[210] = new Complex(0.987056571, -0.160372457);
            result[211] = new Complex(0.986933277, -0.161129473);
            result[212] = new Complex(0.986809402, -0.161886394);
            result[213] = new Complex(0.986684946, -0.162643219);
            result[214] = new Complex(0.98655991, -0.163399949);
            result[215] = new Complex(0.986434294, -0.164156583);
            result[216] = new Complex(0.986308097, -0.16491312);
            result[217] = new Complex(0.98618132, -0.165669561);
            result[218] = new Complex(0.986053963, -0.166425904);
            result[219] = new Complex(0.985926026, -0.167182148);
            result[220] = new Complex(0.985797509, -0.167938295);
            result[221] = new Complex(0.985668412, -0.168694343);
            result[222] = new Complex(0.985538735, -0.169450291);
            result[223] = new Complex(0.985408479, -0.17020614);
            result[224] = new Complex(0.985277642, -0.170961889);
            result[225] = new Complex(0.985146226, -0.171717537);
            result[226] = new Complex(0.985014231, -0.172473084);
            result[227] = new Complex(0.984881656, -0.17322853);
            result[228] = new Complex(0.984748502, -0.173983873);
            result[229] = new Complex(0.984614768, -0.174739115);
            result[230] = new Complex(0.984480455, -0.175494253);
            result[231] = new Complex(0.984345563, -0.176249289);
            result[232] = new Complex(0.984210092, -0.17700422);
            result[233] = new Complex(0.984074042, -0.177759048);
            result[234] = new Complex(0.983937413, -0.178513771);
            result[235] = new Complex(0.983800206, -0.179268389);
            result[236] = new Complex(0.983662419, -0.180022901);
            result[237] = new Complex(0.983524054, -0.180777308);
            result[238] = new Complex(0.98338511, -0.181531608);
            result[239] = new Complex(0.983245588, -0.182285802);
            result[240] = new Complex(0.983105487, -0.183039888);
            result[241] = new Complex(0.982964808, -0.183793867);
            result[242] = new Complex(0.982823551, -0.184547737);
            result[243] = new Complex(0.982681716, -0.185301499);
            result[244] = new Complex(0.982539302, -0.186055152);
            result[245] = new Complex(0.982396311, -0.186808695);
            result[246] = new Complex(0.982252741, -0.187562129);
            result[247] = new Complex(0.982108594, -0.188315452);
            result[248] = new Complex(0.981963869, -0.189068664);
            result[249] = new Complex(0.981818566, -0.189821765);
            result[250] = new Complex(0.981672686, -0.190574755);
            result[251] = new Complex(0.981526228, -0.191327632);
            result[252] = new Complex(0.981379193, -0.192080397);
            result[253] = new Complex(0.981231581, -0.192833049);
            result[254] = new Complex(0.981083391, -0.193585587);
            result[255] = new Complex(0.980934624, -0.194338012);
            result[256] = new Complex(0.98078528, -0.195090322);
            result[257] = new Complex(0.98063536, -0.195842517);
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            result[3938] = new Complex(-0.992666142, -0.120888087);
            result[3939] = new Complex(-0.99275857, -0.120126686);
            result[3940] = new Complex(-0.992850414, -0.119365215);
            result[3941] = new Complex(-0.992941674, -0.118603673);
            result[3942] = new Complex(-0.99303235, -0.117842062);
            result[3943] = new Complex(-0.993122442, -0.117080381);
            result[3944] = new Complex(-0.993211949, -0.116318631);
            result[3945] = new Complex(-0.993300872, -0.115556813);
            result[3946] = new Complex(-0.993389211, -0.114794927);
            result[3947] = new Complex(-0.993476966, -0.114032973);
            result[3948] = new Complex(-0.993564136, -0.113270952);
            result[3949] = new Complex(-0.993650721, -0.112508865);
            result[3950] = new Complex(-0.993736722, -0.111746711);
            result[3951] = new Complex(-0.993822138, -0.110984492);
            result[3952] = new Complex(-0.99390697, -0.110222207);
            result[3953] = new Complex(-0.993991217, -0.109459858);
            result[3954] = new Complex(-0.994074879, -0.108697444);
            result[3955] = new Complex(-0.994157957, -0.107934966);
            result[3956] = new Complex(-0.994240449, -0.107172425);
            result[3957] = new Complex(-0.994322357, -0.106409821);
            result[3958] = new Complex(-0.99440368, -0.105647154);
            result[3959] = new Complex(-0.994484418, -0.104884425);
            result[3960] = new Complex(-0.994564571, -0.104121634);
            result[3961] = new Complex(-0.994644138, -0.103358782);
            result[3962] = new Complex(-0.994723121, -0.102595869);
            result[3963] = new Complex(-0.994801519, -0.101832896);
            result[3964] = new Complex(-0.994879331, -0.101069863);
            result[3965] = new Complex(-0.994956558, -0.10030677);
            result[3966] = new Complex(-0.995033199, -0.099543619);
            result[3967] = new Complex(-0.995109256, -0.098780409);
            result[3968] = new Complex(-0.995184727, -0.09801714);
            result[3969] = new Complex(-0.995259612, -0.097253814);
            result[3970] = new Complex(-0.995333912, -0.096490431);
            result[3971] = new Complex(-0.995407627, -0.095726991);
            result[3972] = new Complex(-0.995480755, -0.094963495);
            result[3973] = new Complex(-0.995553299, -0.094199943);
            result[3974] = new Complex(-0.995625256, -0.093436336);
            result[3975] = new Complex(-0.995696628, -0.092672673);
            result[3976] = new Complex(-0.995767414, -0.091908956);
            result[3977] = new Complex(-0.995837615, -0.091145185);
            result[3978] = new Complex(-0.995907229, -0.090381361);
            result[3979] = new Complex(-0.995976258, -0.089617483);
            result[3980] = new Complex(-0.996044701, -0.088853553);
            result[3981] = new Complex(-0.996112558, -0.08808957);
            result[3982] = new Complex(-0.996179829, -0.087325535);
            result[3983] = new Complex(-0.996246513, -0.086561449);
            result[3984] = new Complex(-0.996312612, -0.085797312);
            result[3985] = new Complex(-0.996378125, -0.085033125);
            result[3986] = new Complex(-0.996443051, -0.084268888);
            result[3987] = new Complex(-0.996507392, -0.083504601);
            result[3988] = new Complex(-0.996571146, -0.082740265);
            result[3989] = new Complex(-0.996634314, -0.08197588);
            result[3990] = new Complex(-0.996696895, -0.081211447);
            result[3991] = new Complex(-0.99675889, -0.080446966);
            result[3992] = new Complex(-0.996820299, -0.079682438);
            result[3993] = new Complex(-0.996881122, -0.078917863);
            result[3994] = new Complex(-0.996941358, -0.078153242);
            result[3995] = new Complex(-0.997001007, -0.077388574);
            result[3996] = new Complex(-0.99706007, -0.076623861);
            result[3997] = new Complex(-0.997118547, -0.075859103);
            result[3998] = new Complex(-0.997176437, -0.075094301);
            result[3999] = new Complex(-0.99723374, -0.074329454);
            result[4000] = new Complex(-0.997290457, -0.073564564);
            result[4001] = new Complex(-0.997346587, -0.07279963);
            result[4002] = new Complex(-0.99740213, -0.072034653);
            result[4003] = new Complex(-0.997457086, -0.071269634);
            result[4004] = new Complex(-0.997511456, -0.070504573);
            result[4005] = new Complex(-0.997565239, -0.069739471);
            result[4006] = new Complex(-0.997618435, -0.068974328);
            result[4007] = new Complex(-0.997671044, -0.068209144);
            result[4008] = new Complex(-0.997723067, -0.06744392);
            result[4009] = new Complex(-0.997774502, -0.066678656);
            result[4010] = new Complex(-0.99782535, -0.065913353);
            result[4011] = new Complex(-0.997875612, -0.065148011);
            result[4012] = new Complex(-0.997925286, -0.064382631);
            result[4013] = new Complex(-0.997974374, -0.063617213);
            result[4014] = new Complex(-0.998022874, -0.062851758);
            result[4015] = new Complex(-0.998070787, -0.062086265);
            result[4016] = new Complex(-0.998118113, -0.061320736);
            result[4017] = new Complex(-0.998164852, -0.060555171);
            result[4018] = new Complex(-0.998211003, -0.059789571);
            result[4019] = new Complex(-0.998256568, -0.059023935);
            result[4020] = new Complex(-0.998301545, -0.058258265);
            result[4021] = new Complex(-0.998345935, -0.05749256);
            result[4022] = new Complex(-0.998389737, -0.056726821);
            result[4023] = new Complex(-0.998432953, -0.055961049);
            result[4024] = new Complex(-0.998475581, -0.055195244);
            result[4025] = new Complex(-0.998517621, -0.054429407);
            result[4026] = new Complex(-0.998559074, -0.053663538);
            result[4027] = new Complex(-0.99859994, -0.052897637);
            result[4028] = new Complex(-0.998640218, -0.052131705);
            result[4029] = new Complex(-0.998679909, -0.051365742);
            result[4030] = new Complex(-0.998719012, -0.050599749);
            result[4031] = new Complex(-0.998757528, -0.049833726);
            result[4032] = new Complex(-0.998795456, -0.049067674);
            result[4033] = new Complex(-0.998832797, -0.048301593);
            result[4034] = new Complex(-0.99886955, -0.047535484);
            result[4035] = new Complex(-0.998905715, -0.046769347);
            result[4036] = new Complex(-0.998941293, -0.046003182);
            result[4037] = new Complex(-0.998976283, -0.04523699);
            result[4038] = new Complex(-0.999010686, -0.044470772);
            result[4039] = new Complex(-0.999044501, -0.043704527);
            result[4040] = new Complex(-0.999077728, -0.042938257);
            result[4041] = new Complex(-0.999110367, -0.042171961);
            result[4042] = new Complex(-0.999142419, -0.041405641);
            result[4043] = new Complex(-0.999173883, -0.040639296);
            result[4044] = new Complex(-0.999204759, -0.039872928);
            result[4045] = new Complex(-0.999235047, -0.039106535);
            result[4046] = new Complex(-0.999264747, -0.03834012);
            result[4047] = new Complex(-0.99929386, -0.037573683);
            result[4048] = new Complex(-0.999322385, -0.036807223);
            result[4049] = new Complex(-0.999350321, -0.036040742);
            result[4050] = new Complex(-0.99937767, -0.035274239);
            result[4051] = new Complex(-0.999404431, -0.034507716);
            result[4052] = new Complex(-0.999430605, -0.033741172);
            result[4053] = new Complex(-0.99945619, -0.032974608);
            result[4054] = new Complex(-0.999481187, -0.032208025);
            result[4055] = new Complex(-0.999505596, -0.031441424);
            result[4056] = new Complex(-0.999529418, -0.030674803);
            result[4057] = new Complex(-0.999552651, -0.029908165);
            result[4058] = new Complex(-0.999575296, -0.029141509);
            result[4059] = new Complex(-0.999597353, -0.028374836);
            result[4060] = new Complex(-0.999618822, -0.027608146);
            result[4061] = new Complex(-0.999639704, -0.02684144);
            result[4062] = new Complex(-0.999659997, -0.026074718);
            result[4063] = new Complex(-0.999679702, -0.025307981);
            result[4064] = new Complex(-0.999698819, -0.024541229);
            result[4065] = new Complex(-0.999717348, -0.023774462);
            result[4066] = new Complex(-0.999735288, -0.023007681);
            result[4067] = new Complex(-0.999752641, -0.022240887);
            result[4068] = new Complex(-0.999769405, -0.02147408);
            result[4069] = new Complex(-0.999785582, -0.020707261);
            result[4070] = new Complex(-0.99980117, -0.019940429);
            result[4071] = new Complex(-0.99981617, -0.019173585);
            result[4072] = new Complex(-0.999830582, -0.01840673);
            result[4073] = new Complex(-0.999844405, -0.017639864);
            result[4074] = new Complex(-0.999857641, -0.016872988);
            result[4075] = new Complex(-0.999870288, -0.016106102);
            result[4076] = new Complex(-0.999882347, -0.015339206);
            result[4077] = new Complex(-0.999893818, -0.014572302);
            result[4078] = new Complex(-0.999904701, -0.013805389);
            result[4079] = new Complex(-0.999914996, -0.013038467);
            result[4080] = new Complex(-0.999924702, -0.012271538);
            result[4081] = new Complex(-0.99993382, -0.011504602);
            result[4082] = new Complex(-0.99994235, -0.010737659);
            result[4083] = new Complex(-0.999950291, -0.00997071);
            result[4084] = new Complex(-0.999957645, -0.009203755);
            result[4085] = new Complex(-0.99996441, -0.008436794);
            result[4086] = new Complex(-0.999970586, -0.007669829);
            result[4087] = new Complex(-0.999976175, -0.006902859);
            result[4088] = new Complex(-0.999981175, -0.006135885);
            result[4089] = new Complex(-0.999985587, -0.005368907);
            result[4090] = new Complex(-0.999989411, -0.004601926);
            result[4091] = new Complex(-0.999992647, -0.003834943);
            result[4092] = new Complex(-0.999995294, -0.003067957);
            result[4093] = new Complex(-0.999997353, -0.002300969);
            result[4094] = new Complex(-0.999998823, -0.00153398);
            result[4095] = new Complex(-0.999999706, -0.00076699);
            return result;
        }

        public static Complex[] ConstTestVector_8192_HI_FFT_of_00_10_00_etc()
        {
            Complex[] result = new Complex[4096];
            result[0] = new Complex(-1, 0);
            result[1] = new Complex(-0.999999706, 0.00076699);
            result[2] = new Complex(-0.999998823, 0.00153398);
            result[3] = new Complex(-0.999997353, 0.002300969);
            result[4] = new Complex(-0.999995294, 0.003067957);
            result[5] = new Complex(-0.999992647, 0.003834943);
            result[6] = new Complex(-0.999989411, 0.004601926);
            result[7] = new Complex(-0.999985587, 0.005368907);
            result[8] = new Complex(-0.999981175, 0.006135885);
            result[9] = new Complex(-0.999976175, 0.006902859);
            result[10] = new Complex(-0.999970586, 0.007669829);
            result[11] = new Complex(-0.99996441, 0.008436794);
            result[12] = new Complex(-0.999957645, 0.009203755);
            result[13] = new Complex(-0.999950291, 0.00997071);
            result[14] = new Complex(-0.99994235, 0.010737659);
            result[15] = new Complex(-0.99993382, 0.011504602);
            result[16] = new Complex(-0.999924702, 0.012271538);
            result[17] = new Complex(-0.999914996, 0.013038467);
            result[18] = new Complex(-0.999904701, 0.013805389);
            result[19] = new Complex(-0.999893818, 0.014572302);
            result[20] = new Complex(-0.999882347, 0.015339206);
            result[21] = new Complex(-0.999870288, 0.016106102);
            result[22] = new Complex(-0.999857641, 0.016872988);
            result[23] = new Complex(-0.999844405, 0.017639864);
            result[24] = new Complex(-0.999830582, 0.01840673);
            result[25] = new Complex(-0.99981617, 0.019173585);
            result[26] = new Complex(-0.99980117, 0.019940429);
            result[27] = new Complex(-0.999785582, 0.020707261);
            result[28] = new Complex(-0.999769405, 0.02147408);
            result[29] = new Complex(-0.999752641, 0.022240887);
            result[30] = new Complex(-0.999735288, 0.023007681);
            result[31] = new Complex(-0.999717348, 0.023774462);
            result[32] = new Complex(-0.999698819, 0.024541229);
            result[33] = new Complex(-0.999679702, 0.025307981);
            result[34] = new Complex(-0.999659997, 0.026074718);
            result[35] = new Complex(-0.999639704, 0.02684144);
            result[36] = new Complex(-0.999618822, 0.027608146);
            result[37] = new Complex(-0.999597353, 0.028374836);
            result[38] = new Complex(-0.999575296, 0.029141509);
            result[39] = new Complex(-0.999552651, 0.029908165);
            result[40] = new Complex(-0.999529418, 0.030674803);
            result[41] = new Complex(-0.999505596, 0.031441424);
            result[42] = new Complex(-0.999481187, 0.032208025);
            result[43] = new Complex(-0.99945619, 0.032974608);
            result[44] = new Complex(-0.999430605, 0.033741172);
            result[45] = new Complex(-0.999404431, 0.034507716);
            result[46] = new Complex(-0.99937767, 0.035274239);
            result[47] = new Complex(-0.999350321, 0.036040742);
            result[48] = new Complex(-0.999322385, 0.036807223);
            result[49] = new Complex(-0.99929386, 0.037573683);
            result[50] = new Complex(-0.999264747, 0.03834012);
            result[51] = new Complex(-0.999235047, 0.039106535);
            result[52] = new Complex(-0.999204759, 0.039872928);
            result[53] = new Complex(-0.999173883, 0.040639296);
            result[54] = new Complex(-0.999142419, 0.041405641);
            result[55] = new Complex(-0.999110367, 0.042171961);
            result[56] = new Complex(-0.999077728, 0.042938257);
            result[57] = new Complex(-0.999044501, 0.043704527);
            result[58] = new Complex(-0.999010686, 0.044470772);
            result[59] = new Complex(-0.998976283, 0.04523699);
            result[60] = new Complex(-0.998941293, 0.046003182);
            result[61] = new Complex(-0.998905715, 0.046769347);
            result[62] = new Complex(-0.99886955, 0.047535484);
            result[63] = new Complex(-0.998832797, 0.048301593);
            result[64] = new Complex(-0.998795456, 0.049067674);
            result[65] = new Complex(-0.998757528, 0.049833726);
            result[66] = new Complex(-0.998719012, 0.050599749);
            result[67] = new Complex(-0.998679909, 0.051365742);
            result[68] = new Complex(-0.998640218, 0.052131705);
            result[69] = new Complex(-0.99859994, 0.052897637);
            result[70] = new Complex(-0.998559074, 0.053663538);
            result[71] = new Complex(-0.998517621, 0.054429407);
            result[72] = new Complex(-0.998475581, 0.055195244);
            result[73] = new Complex(-0.998432953, 0.055961049);
            result[74] = new Complex(-0.998389737, 0.056726821);
            result[75] = new Complex(-0.998345935, 0.05749256);
            result[76] = new Complex(-0.998301545, 0.058258265);
            result[77] = new Complex(-0.998256568, 0.059023935);
            result[78] = new Complex(-0.998211003, 0.059789571);
            result[79] = new Complex(-0.998164852, 0.060555171);
            result[80] = new Complex(-0.998118113, 0.061320736);
            result[81] = new Complex(-0.998070787, 0.062086265);
            result[82] = new Complex(-0.998022874, 0.062851758);
            result[83] = new Complex(-0.997974374, 0.063617213);
            result[84] = new Complex(-0.997925286, 0.064382631);
            result[85] = new Complex(-0.997875612, 0.065148011);
            result[86] = new Complex(-0.99782535, 0.065913353);
            result[87] = new Complex(-0.997774502, 0.066678656);
            result[88] = new Complex(-0.997723067, 0.06744392);
            result[89] = new Complex(-0.997671044, 0.068209144);
            result[90] = new Complex(-0.997618435, 0.068974328);
            result[91] = new Complex(-0.997565239, 0.069739471);
            result[92] = new Complex(-0.997511456, 0.070504573);
            result[93] = new Complex(-0.997457086, 0.071269634);
            result[94] = new Complex(-0.99740213, 0.072034653);
            result[95] = new Complex(-0.997346587, 0.07279963);
            result[96] = new Complex(-0.997290457, 0.073564564);
            result[97] = new Complex(-0.99723374, 0.074329454);
            result[98] = new Complex(-0.997176437, 0.075094301);
            result[99] = new Complex(-0.997118547, 0.075859103);
            result[100] = new Complex(-0.99706007, 0.076623861);
            result[101] = new Complex(-0.997001007, 0.077388574);
            result[102] = new Complex(-0.996941358, 0.078153242);
            result[103] = new Complex(-0.996881122, 0.078917863);
            result[104] = new Complex(-0.996820299, 0.079682438);
            result[105] = new Complex(-0.99675889, 0.080446966);
            result[106] = new Complex(-0.996696895, 0.081211447);
            result[107] = new Complex(-0.996634314, 0.08197588);
            result[108] = new Complex(-0.996571146, 0.082740265);
            result[109] = new Complex(-0.996507392, 0.083504601);
            result[110] = new Complex(-0.996443051, 0.084268888);
            result[111] = new Complex(-0.996378125, 0.085033125);
            result[112] = new Complex(-0.996312612, 0.085797312);
            result[113] = new Complex(-0.996246513, 0.086561449);
            result[114] = new Complex(-0.996179829, 0.087325535);
            result[115] = new Complex(-0.996112558, 0.08808957);
            result[116] = new Complex(-0.996044701, 0.088853553);
            result[117] = new Complex(-0.995976258, 0.089617483);
            result[118] = new Complex(-0.995907229, 0.090381361);
            result[119] = new Complex(-0.995837615, 0.091145185);
            result[120] = new Complex(-0.995767414, 0.091908956);
            result[121] = new Complex(-0.995696628, 0.092672673);
            result[122] = new Complex(-0.995625256, 0.093436336);
            result[123] = new Complex(-0.995553299, 0.094199943);
            result[124] = new Complex(-0.995480755, 0.094963495);
            result[125] = new Complex(-0.995407627, 0.095726991);
            result[126] = new Complex(-0.995333912, 0.096490431);
            result[127] = new Complex(-0.995259612, 0.097253814);
            result[128] = new Complex(-0.995184727, 0.09801714);
            result[129] = new Complex(-0.995109256, 0.098780409);
            result[130] = new Complex(-0.995033199, 0.099543619);
            result[131] = new Complex(-0.994956558, 0.10030677);
            result[132] = new Complex(-0.994879331, 0.101069863);
            result[133] = new Complex(-0.994801519, 0.101832896);
            result[134] = new Complex(-0.994723121, 0.102595869);
            result[135] = new Complex(-0.994644138, 0.103358782);
            result[136] = new Complex(-0.994564571, 0.104121634);
            result[137] = new Complex(-0.994484418, 0.104884425);
            result[138] = new Complex(-0.99440368, 0.105647154);
            result[139] = new Complex(-0.994322357, 0.106409821);
            result[140] = new Complex(-0.994240449, 0.107172425);
            result[141] = new Complex(-0.994157957, 0.107934966);
            result[142] = new Complex(-0.994074879, 0.108697444);
            result[143] = new Complex(-0.993991217, 0.109459858);
            result[144] = new Complex(-0.99390697, 0.110222207);
            result[145] = new Complex(-0.993822138, 0.110984492);
            result[146] = new Complex(-0.993736722, 0.111746711);
            result[147] = new Complex(-0.993650721, 0.112508865);
            result[148] = new Complex(-0.993564136, 0.113270952);
            result[149] = new Complex(-0.993476966, 0.114032973);
            result[150] = new Complex(-0.993389211, 0.114794927);
            result[151] = new Complex(-0.993300872, 0.115556813);
            result[152] = new Complex(-0.993211949, 0.116318631);
            result[153] = new Complex(-0.993122442, 0.117080381);
            result[154] = new Complex(-0.99303235, 0.117842062);
            result[155] = new Complex(-0.992941674, 0.118603673);
            result[156] = new Complex(-0.992850414, 0.119365215);
            result[157] = new Complex(-0.99275857, 0.120126686);
            result[158] = new Complex(-0.992666142, 0.120888087);
            result[159] = new Complex(-0.99257313, 0.121649417);
            result[160] = new Complex(-0.992479535, 0.122410675);
            result[161] = new Complex(-0.992385355, 0.123171861);
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            result[3990] = new Complex(0.996696895, 0.081211447);
            result[3991] = new Complex(0.99675889, 0.080446966);
            result[3992] = new Complex(0.996820299, 0.079682438);
            result[3993] = new Complex(0.996881122, 0.078917863);
            result[3994] = new Complex(0.996941358, 0.078153242);
            result[3995] = new Complex(0.997001007, 0.077388574);
            result[3996] = new Complex(0.99706007, 0.076623861);
            result[3997] = new Complex(0.997118547, 0.075859103);
            result[3998] = new Complex(0.997176437, 0.075094301);
            result[3999] = new Complex(0.99723374, 0.074329454);
            result[4000] = new Complex(0.997290457, 0.073564564);
            result[4001] = new Complex(0.997346587, 0.07279963);
            result[4002] = new Complex(0.99740213, 0.072034653);
            result[4003] = new Complex(0.997457086, 0.071269634);
            result[4004] = new Complex(0.997511456, 0.070504573);
            result[4005] = new Complex(0.997565239, 0.069739471);
            result[4006] = new Complex(0.997618435, 0.068974328);
            result[4007] = new Complex(0.997671044, 0.068209144);
            result[4008] = new Complex(0.997723067, 0.06744392);
            result[4009] = new Complex(0.997774502, 0.066678656);
            result[4010] = new Complex(0.99782535, 0.065913353);
            result[4011] = new Complex(0.997875612, 0.065148011);
            result[4012] = new Complex(0.997925286, 0.064382631);
            result[4013] = new Complex(0.997974374, 0.063617213);
            result[4014] = new Complex(0.998022874, 0.062851758);
            result[4015] = new Complex(0.998070787, 0.062086265);
            result[4016] = new Complex(0.998118113, 0.061320736);
            result[4017] = new Complex(0.998164852, 0.060555171);
            result[4018] = new Complex(0.998211003, 0.059789571);
            result[4019] = new Complex(0.998256568, 0.059023935);
            result[4020] = new Complex(0.998301545, 0.058258265);
            result[4021] = new Complex(0.998345935, 0.05749256);
            result[4022] = new Complex(0.998389737, 0.056726821);
            result[4023] = new Complex(0.998432953, 0.055961049);
            result[4024] = new Complex(0.998475581, 0.055195244);
            result[4025] = new Complex(0.998517621, 0.054429407);
            result[4026] = new Complex(0.998559074, 0.053663538);
            result[4027] = new Complex(0.99859994, 0.052897637);
            result[4028] = new Complex(0.998640218, 0.052131705);
            result[4029] = new Complex(0.998679909, 0.051365742);
            result[4030] = new Complex(0.998719012, 0.050599749);
            result[4031] = new Complex(0.998757528, 0.049833726);
            result[4032] = new Complex(0.998795456, 0.049067674);
            result[4033] = new Complex(0.998832797, 0.048301593);
            result[4034] = new Complex(0.99886955, 0.047535484);
            result[4035] = new Complex(0.998905715, 0.046769347);
            result[4036] = new Complex(0.998941293, 0.046003182);
            result[4037] = new Complex(0.998976283, 0.04523699);
            result[4038] = new Complex(0.999010686, 0.044470772);
            result[4039] = new Complex(0.999044501, 0.043704527);
            result[4040] = new Complex(0.999077728, 0.042938257);
            result[4041] = new Complex(0.999110367, 0.042171961);
            result[4042] = new Complex(0.999142419, 0.041405641);
            result[4043] = new Complex(0.999173883, 0.040639296);
            result[4044] = new Complex(0.999204759, 0.039872928);
            result[4045] = new Complex(0.999235047, 0.039106535);
            result[4046] = new Complex(0.999264747, 0.03834012);
            result[4047] = new Complex(0.99929386, 0.037573683);
            result[4048] = new Complex(0.999322385, 0.036807223);
            result[4049] = new Complex(0.999350321, 0.036040742);
            result[4050] = new Complex(0.99937767, 0.035274239);
            result[4051] = new Complex(0.999404431, 0.034507716);
            result[4052] = new Complex(0.999430605, 0.033741172);
            result[4053] = new Complex(0.99945619, 0.032974608);
            result[4054] = new Complex(0.999481187, 0.032208025);
            result[4055] = new Complex(0.999505596, 0.031441424);
            result[4056] = new Complex(0.999529418, 0.030674803);
            result[4057] = new Complex(0.999552651, 0.029908165);
            result[4058] = new Complex(0.999575296, 0.029141509);
            result[4059] = new Complex(0.999597353, 0.028374836);
            result[4060] = new Complex(0.999618822, 0.027608146);
            result[4061] = new Complex(0.999639704, 0.02684144);
            result[4062] = new Complex(0.999659997, 0.026074718);
            result[4063] = new Complex(0.999679702, 0.025307981);
            result[4064] = new Complex(0.999698819, 0.024541229);
            result[4065] = new Complex(0.999717348, 0.023774462);
            result[4066] = new Complex(0.999735288, 0.023007681);
            result[4067] = new Complex(0.999752641, 0.022240887);
            result[4068] = new Complex(0.999769405, 0.02147408);
            result[4069] = new Complex(0.999785582, 0.020707261);
            result[4070] = new Complex(0.99980117, 0.019940429);
            result[4071] = new Complex(0.99981617, 0.019173585);
            result[4072] = new Complex(0.999830582, 0.01840673);
            result[4073] = new Complex(0.999844405, 0.017639864);
            result[4074] = new Complex(0.999857641, 0.016872988);
            result[4075] = new Complex(0.999870288, 0.016106102);
            result[4076] = new Complex(0.999882347, 0.015339206);
            result[4077] = new Complex(0.999893818, 0.014572302);
            result[4078] = new Complex(0.999904701, 0.013805389);
            result[4079] = new Complex(0.999914996, 0.013038467);
            result[4080] = new Complex(0.999924702, 0.012271538);
            result[4081] = new Complex(0.99993382, 0.011504602);
            result[4082] = new Complex(0.99994235, 0.010737659);
            result[4083] = new Complex(0.999950291, 0.00997071);
            result[4084] = new Complex(0.999957645, 0.009203755);
            result[4085] = new Complex(0.99996441, 0.008436794);
            result[4086] = new Complex(0.999970586, 0.007669829);
            result[4087] = new Complex(0.999976175, 0.006902859);
            result[4088] = new Complex(0.999981175, 0.006135885);
            result[4089] = new Complex(0.999985587, 0.005368907);
            result[4090] = new Complex(0.999989411, 0.004601926);
            result[4091] = new Complex(0.999992647, 0.003834943);
            result[4092] = new Complex(0.999995294, 0.003067957);
            result[4093] = new Complex(0.999997353, 0.002300969);
            result[4094] = new Complex(0.999998823, 0.00153398);
            result[4095] = new Complex(0.999999706, 0.00076699);
            return result;
        }


    }
}