*

Assets/Accelerometer.cs

@@ -0,0 +1,122 @@
+using Antilatency.DeviceNetwork;
+using NUnit.Framework;
+using System;
+using System.Collections.Generic;
+using System.Runtime.InteropServices;
+using UnityEditor.ShaderGraph.Internal;
+using UnityEngine;
+
+public class Accelerometer : MonoBehaviour
+{
+    public static System.Guid TaskID {
+        get {
+            byte[] data = new byte[] { 48, 125, 192, 166, 207, 227, 237, 68, 185, 150, 95, 150, 153, 131, 146, 226 };
+            var handle = GCHandle.Alloc(data, GCHandleType.Pinned);
+            System.Guid result = (System.Guid)Marshal.PtrToStructure(handle.AddrOfPinnedObject(), typeof(System.Guid));
+            handle.Free();
+            return result;
+        }
+    }
+
+    public event Action<Accelerometer, Vector3> OnNewSample;
+    public event Action<Accelerometer> OnStarted;
+    public event Action<Accelerometer> OnStopped;
+
+    Antilatency.DeviceNetwork.INetwork _network;
+    ISynchronousConnection _connection;
+    uint _updateId = 0;
+
+
+    // Start is called once before the first execution of Update after the MonoBehaviour is created
+    void Start()
+    {
+        using var lib = Antilatency.DeviceNetwork.Library.load();
+        using var filter = lib.createFilter();
+        filter.addUsbDevice(Antilatency.DeviceNetwork.Constants.AllUsbDevices);
+        _network = lib.createNetwork(filter);
+        Debug.Log("Network created");
+    }
+
+    void OnTaskStarted() {
+        if(OnStarted != null) {
+            OnStarted.Invoke(this);
+        }
+    }
+
+    void OnTaskFinished() {
+        if (OnStopped != null) {
+            OnStopped.Invoke(this);
+        }
+    }
+
+    void Reconnect() {
+        if (_connection != null) {
+            return;
+        }
+
+        var updateId = _network.getUpdateId();
+        if (updateId != _updateId) {
+            _updateId = updateId;
+
+            var nodes = _network.getNodes();
+            foreach (var node in nodes) {
+                if(_network.nodeIsTaskSupported(node, TaskID)){
+                    _connection = _network.nodeStartTask2(node, TaskID);
+                    OnTaskStarted();
+                }
+            }
+        }
+    }
+
+  
+
+
+    void OnAccelerometer(Vector3 value) {
+        if(OnNewSample != null) {
+            OnNewSample.Invoke(this, value);
+        }
+    }
+
+    void OnAccelerometerPacket(Antilatency.DeviceNetwork.Interop.Packet packet, int gRange) {
+        float scale = (float)gRange / 0x8000;
+        var sample =  Marshal.PtrToStructure<AntilatencyMath.short3>(packet.data);
+        OnAccelerometer(new Vector3(sample.x * scale, sample.y * scale, sample.z * scale));
+    }
+
+    // Update is called once per frame
+    void Update()
+    {
+        Reconnect();
+
+        if (_connection == null) {
+            return;
+        }
+
+        Antilatency.InterfaceContract.Bool taskFinished = false;
+        var packets = _connection.getAvailablePackets(out taskFinished);
+        if (taskFinished) {
+            Antilatency.Utils.SafeDispose(ref _connection);
+            OnTaskFinished();
+            return;
+        }
+
+
+        foreach (var packet in packets) {
+            if (packet.id == 3) {
+                OnAccelerometerPacket(packet, 2);
+            } else if (packet.id == 4) {
+                OnAccelerometerPacket(packet, 4);
+            } else if (packet.id == 5) {
+                OnAccelerometerPacket(packet, 8);
+            } else if (packet.id == 6) {
+                OnAccelerometerPacket(packet, 16);
+            }
+        }
+        
+    }
+
+    private void OnDestroy() {
+        Antilatency.Utils.SafeDispose(ref _connection);
+        Antilatency.Utils.SafeDispose(ref _network);
+    }
+}

Assets/Accelerometer.cs.meta

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Assets/AnalyzeFFT.cs

@@ -0,0 +1,186 @@
+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+using UnityEngine.UI;
+using System.Numerics;
+
+public class AnalyzeFFT : MonoBehaviour {
+
+
+    public enum Axis {
+        X, Y, Z
+    }
+
+    public Axis SourceAxis = Axis.X;
+
+    public Accelerometer Accelerometer;
+
+    public bool UseAbsoluteScale = false;
+    public float AbsoluteScale = 0.2f;
+
+    private long _samplesTotalCount = 0;
+    //input-output values for the FFT
+    double[] X_FFT_inputValues;
+    double[] Y_FFT_inputValues;
+    double[] Y_output;
+
+
+    public const int AccelerometerSamplingFrequency = 2000;
+
+    public int windowSize = AccelerometerSamplingFrequency;
+
+
+    public double maxf_obtained;
+
+    //counts the steps taken
+    long count = 0;
+
+    //the chart transforms for the time and frequency
+    [Space(10)]
+    [Header("CHARTS FOR DRAWING")]
+    [Space]
+    public Transform tfTime;
+    public Transform tfFreq;
+
+
+    void Start() {
+        Accelerometer.OnNewSample += Accelerometer_OnNewSample;
+        Accelerometer.OnStarted += Accelerometer_OnStarted;
+        Accelerometer.OnStopped += Accelerometer_OnStopped;
+    }
+
+    private void Accelerometer_OnStarted(Accelerometer obj) {
+        _samplesTotalCount = 0;
+        _processedSamplesCount = 0;
+        Debug.Log("Accelerometer started");
+    }
+
+    private void Accelerometer_OnStopped(Accelerometer obj) {
+       
+        Debug.Log("Accelerometer stopped");
+    }
+
+    private void Accelerometer_OnNewSample(Accelerometer arg1, UnityEngine.Vector3 arg2) {
+        if (_ySourceSamples == null || _ySourceSamples.Length != windowSize) {
+            _ySourceSamples = new double[windowSize];
+            _yWriteOffset = 0;
+        }
+
+        float data = arg2.x;
+        if(SourceAxis == Axis.Y) {
+            data = arg2.y;
+        }else if (SourceAxis == Axis.Z) {
+            data = arg2.z;
+        }
+
+
+        _ySourceSamples[_yWriteOffset] = data;
+
+
+        _yWriteOffset = (_yWriteOffset + 1) % windowSize;
+
+        _samplesTotalCount++;
+    }
+
+
+
+
+    double[] _ySourceSamples;
+    int _yWriteOffset = 0;
+
+    private long _processedSamplesCount = 0;
+
+    private void Update() {
+        if (X_FFT_inputValues == null || X_FFT_inputValues.Length != windowSize) {
+            X_FFT_inputValues = new double[windowSize];
+            for (int i = 0; i < windowSize; i++) {
+                X_FFT_inputValues[i] = i;
+            }
+        }
+
+        if (Y_FFT_inputValues == null || Y_FFT_inputValues.Length != windowSize) {
+            Y_FFT_inputValues = new double[windowSize];
+        }
+
+        TimeToFrequency();
+    }
+
+    void TimeToFrequency() {
+        if(_processedSamplesCount == _samplesTotalCount) {
+            return;
+        }
+
+        //this is the window size
+        for (int i = 0; i < windowSize; i++) {
+            Y_FFT_inputValues[i] = _ySourceSamples[(_yWriteOffset + i) % windowSize];
+        }
+
+
+
+        //perform complex opterations and set up the arrays
+        Complex[] inputSignal_Time = new Complex[windowSize];
+        Complex[] outputSignal_Freq = new Complex[windowSize];
+
+
+        inputSignal_Time = FastFourierTransform.doubleToComplex(Y_FFT_inputValues);
+
+
+        //result is the iutput values once DFT has been applied
+        outputSignal_Freq = FastFourierTransform.FFT(inputSignal_Time, false);
+
+
+
+        Y_output = new double[windowSize];
+        //get module of complex number
+        for (int ii = 0; ii < windowSize; ii++) {
+            //Debug.Log(ii);
+            Y_output[ii] = (double)Complex.Abs(outputSignal_Freq[ii]);
+        }
+
+
+        // find peak VALUES on the FFT
+        double MaxPeak = -1000;
+        int peakIndex = 0;
+        for (int i = 1; i < Y_output.Length / 2 - 1; i++) {
+            if (Y_output[i] > MaxPeak) {
+                MaxPeak = Y_output[i];
+                peakIndex = i;
+            }
+        }
+
+        //store results
+        maxf_obtained = (double)peakIndex / (double)windowSize /*/ 2*/ * (double)AccelerometerSamplingFrequency;
+
+        
+        
+
+    }
+
+
+
+    void FixedUpdate() {
+        if(X_FFT_inputValues == null) {
+            return;
+        }
+
+        if(Y_FFT_inputValues != null) {
+            Drawing.drawChart(tfTime, X_FFT_inputValues, Y_FFT_inputValues, "time");
+        }
+
+
+
+        if(Y_output != null) {
+
+
+            Drawing.drawChart(tfFreq, X_FFT_inputValues, Y_output, "frequency", UseAbsoluteScale ? AbsoluteScale : null);
+        }
+      
+    }
+
+
+
+
+
+
+
+}

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Assets/AntilatencyMath.cs

@@ -0,0 +1,10 @@
+using UnityEngine;
+
+namespace AntilatencyMath
+{
+    public struct short3 {
+        public short x;
+        public short y;
+        public short z;
+    }
+}

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Assets/FFT fast fourrier transform/Scripts.meta

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Assets/FFT fast fourrier transform/Scripts/Drawing.cs

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+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+public static class Drawing
+{
+    //transform parameters to draw the chart;
+    public static double  a, b, x0, y0;
+    public static LineRenderer linR;
+
+    public static void drawChart(Transform tf, double[] X_inputValues, double[]Y_inputValues, string type, float? customYScale = null)
+    {
+        linR =tf.GetComponent<LineRenderer>();
+        
+        
+        //transform parameters to draw the heart rate
+        a = tf.localScale.x;
+        b = tf.localScale.y;
+        x0 = tf.position.x;
+        y0 = tf.position.y;
+
+
+        //do not resize array
+        if (type=="time")
+        {
+                                  
+
+        }
+        //resize array
+        else if(type=="frequency")
+        {
+            X_inputValues=ArrayResize(X_inputValues, (int)X_inputValues.Length/2);
+            Y_inputValues=ArrayResize(Y_inputValues, (int)Y_inputValues.Length/2);
+        }
+
+        linR.positionCount = X_inputValues.Length;
+
+        double max_X = FastFourierTransform.MaxD(X_inputValues);
+        double min_X = FastFourierTransform.MinD(X_inputValues);
+        double max_Y = FastFourierTransform.MaxD(Y_inputValues);
+        double min_Y = FastFourierTransform.MinD(Y_inputValues);
+
+        double dY = max_Y - min_Y;
+        if (customYScale.HasValue) {
+            dY = customYScale.Value;
+        }
+
+
+        //drawing factors
+        double factorA_X = (x0 + a / 2 - (x0 - a / 2)) / (max_X - min_X + 0.01f);
+        double factorB_X = factorA_X * (-min_X) + (x0 - a / 2);
+        double factorA_Y = (y0 + b / 2 - (y0 - b / 2)) / (dY + 0.01f);
+        double factorB_Y = factorA_Y * (-min_Y) + (y0 - b / 2);
+
+
+        //draw using the lineRender
+        for (int ii = 0; ii < linR.positionCount; ii++)
+        {
+            // Debug.Log(ii);
+            double xt = X_inputValues[ii] * factorA_X + factorB_X;
+            double yt = Y_inputValues[ii] * factorA_Y + factorB_Y;
+
+            linR.SetPosition(ii, new UnityEngine.Vector3((float)xt, (float)yt, tf.position.z));
+        }
+    }
+
+    //gets an array and resizes it to a fixed value
+    public static double[] ArrayResize(double[] a, int Size)
+    {
+
+        double[] temp = new double[Size];
+        for (int c = 1; c < Mathf.Min(Size, a.Length); c++)
+        {
+            temp[c] = a[c];
+        }
+        
+        return temp;
+    }
+
+}

Assets/FFT fast fourrier transform/Scripts/Drawing.cs.meta

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+  assetPath: Assets/FFT fast fourrier transform/Scripts/Drawing.cs
+  uploadId: 325757

Assets/FFT fast fourrier transform/Scripts/Example01_time_to_frequency.cs

@@ -0,0 +1,174 @@
+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+using UnityEngine.UI;
+using System.Numerics;
+
+public class Example01_time_to_frequency : MonoBehaviour
+{
+    [Space]
+    [Header("[!] set fixed time to 0.01f [!]")]
+    [Header("TIME SIGNAL TO FREQUENCY FFT")]
+    [Space]
+
+    //samplingfrequency 
+    public int samplingFrequency;
+
+    //input-output values for the FFT
+    double[] X_inputValues;
+    double[] Y_inputValues;
+    double[] Y_output;
+
+    //list with the input values
+    public List<double> Y_values;
+
+    //these are the frequencies, amplitude and phase of the sinus added to the signal
+    [Space(10)]
+    [Header("F,A and P must be same lenght")]
+    [Tooltip("Add different values of amplitude/frequency to change the time response")]
+    [Space]
+    public double[] freq;
+    public double[] Amp;
+    public double[] phase;
+
+
+    //this is the size of the window of data
+    public int windowSize = 1024;
+
+    //this is used to obtain the frequency with a peak
+    [Space(10)]
+    [Header("MOST IMPORTANT FREQUENCY")]
+    [Tooltip("This corresponds to the peak on the FFT")]
+    [Space]
+    public double maxf_obtained;
+
+    //counts the steps taken
+    long count = 0;
+
+    //the chart transforms for the time and frequency
+    [Space(10)]
+    [Header("CHARTS FOR DRAWING")]
+    [Space]
+    public Transform tfTime;
+    public Transform tfFreq;
+
+    
+    void Start()
+    {
+        X_inputValues = new double[windowSize];
+        Y_inputValues = new double[windowSize];
+
+        samplingFrequency = (int)(1 / Time.fixedDeltaTime);
+
+        for (int ii = 0; ii < windowSize; ii++)
+        {
+            Y_values.Add(0);
+        }
+
+        StartCoroutine(time_to_frequency());
+    }
+
+
+    /// <summary>
+    ///  This corrutine obtains these steps in order:
+    ///  1) generates a time response using SIN() signals
+    ///  2) obtains a window of the signal
+    ///  3) applies the FFT
+    /// </summary>
+
+    IEnumerator time_to_frequency()
+    {
+        while (true)
+        {
+            
+            // add point to the time chart
+            double signal = 0;
+            for (int jj = 0; jj < Amp.Length; jj++)
+            {
+                signal+= (double)(   Amp[jj] * Mathf.Sin(2 * Mathf.PI * (float)freq[jj] * (float)count *1/(float)samplingFrequency + (float)phase[jj])  );
+            }
+            count++;
+
+            Y_values.Add(signal);
+
+
+            if (Y_values.Count >= windowSize)
+            {
+                //ONE IS THE INPUT VALUES
+
+                //this is the window size
+                for (int ii = 0; ii < windowSize; ii++)
+                {
+                    X_inputValues[ii] = ii;
+
+
+                    X_inputValues[ii] = ii;
+                    Y_inputValues[ii] = (Y_values[ii + Y_values.Count - 1 - windowSize]);
+                                                           
+                }
+
+                                 
+                                                         
+                //perform complex opterations and set up the arrays
+                Complex[] inputSignal_Time = new Complex[windowSize];
+                Complex[] outputSignal_Freq = new Complex[windowSize];
+
+
+                inputSignal_Time = FastFourierTransform.doubleToComplex(Y_inputValues);
+
+
+                //result is the iutput values once DFT has been applied
+                outputSignal_Freq = FastFourierTransform.FFT(inputSignal_Time,false);
+
+
+
+                Y_output = new double[windowSize];
+                //get module of complex number
+                for (int ii = 0; ii < windowSize; ii++)
+                {
+                    //Debug.Log(ii);
+                    Y_output[ii] = (double)Complex.Abs(outputSignal_Freq[ii]);
+                }
+
+
+                // find peak VALUES on the FFT
+                double MaxPeak = -1000;
+                int peakIndex = 0;
+                for (int i = 1; i < Y_output.Length/2 - 1; i++)
+                {
+                    if (Y_output[i]>MaxPeak)
+                    {
+                        MaxPeak = Y_output[i];
+                        peakIndex = i;
+                    }
+                }
+
+                //store results
+                maxf_obtained = (double)peakIndex / (double)windowSize/2* (double)samplingFrequency;
+                
+            }
+
+           
+            yield return new WaitForFixedUpdate();
+
+     
+        }
+
+    }
+
+
+
+    void FixedUpdate()
+    {
+        //draw both charts: time-domain and frequency-domain
+        Drawing.drawChart(tfTime,X_inputValues, Y_inputValues, "time");
+        Drawing.drawChart(tfFreq, X_inputValues, Y_output, "frequency");
+    }
+
+
+        
+   
+
+
+
+}

Assets/FFT fast fourrier transform/Scripts/Example01_time_to_frequency.cs.meta

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+  assetPath: Assets/FFT fast fourrier transform/Scripts/Example01_time_to_frequency.cs
+  uploadId: 325757

Assets/FFT fast fourrier transform/Scripts/Example02_filtering.cs

@@ -0,0 +1,208 @@
+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+using UnityEngine.UI;
+using System.Numerics;
+
+public class Example02_filtering : MonoBehaviour
+{
+
+    public enum filterMode { low_pass, high_pass };
+
+    [Space]
+    [Header("[!] set fixed time to 0.01f [!]")]
+    [Header("FILTERING")]
+    [Space]
+
+    //samplingfrequency 
+    public int samplingFrequency;
+
+    //input-output values for the FFT
+    double[] X_inputValues;
+    double[] Y_inputValues;
+    double[] Y_output;
+
+    double[] Y_inputValues_filtered;
+    double[] Y_output_filtered;
+
+    //list with the input values
+    public List<double> Y_values;
+
+    //these are the frequencies, amplitude and phase of the sinus added to the signal
+    [Space(10)]
+    [Header("F,A and P must be same lenght")]
+    [Tooltip("Add different values of amplitude/frequency to change the time response")]
+    [Space]
+    public double[] freq;
+    public double[] Amp;
+    public double[] phase;
+
+
+    //this is the size of the window of data
+    public int windowSize = 1024;
+
+
+    //counts the steps taken
+    long count = 0;
+
+    //
+
+    //the chart transforms for the time and frequency
+    [Space(10)]
+    [Header("CHARTS FOR DRAWING")]
+    [Space]
+    public Transform tfTime;
+    public Transform tfFreq;
+    public Transform tfTime_filt;
+    public Transform tfFreq_filt;
+
+    [Space(10)]
+    [Header("Select filtering type")]
+    [Space]
+    public filterMode filtermode;
+
+    //this is the filter parameter
+    public double alpha = 0.2f;
+
+    void Start()
+    {
+        X_inputValues = new double[windowSize];
+        Y_inputValues = new double[windowSize];
+
+        samplingFrequency = (int)(1 / Time.fixedDeltaTime);
+
+        for (int ii = 0; ii < windowSize; ii++)
+        {
+            Y_values.Add(0);
+        }
+
+        StartCoroutine(filterSignal());
+    }
+
+
+
+    /// <summary>
+    ///  This corrutine obtains these steps in order:
+    ///  1) generates a time response using SIN() signals
+    ///  2) obtains a window of the signal
+    ///  3) applies the FFT
+    ///  4) filters the signal
+    ///  5) applies FFT of filtered signal
+    /// </summary>
+
+    IEnumerator filterSignal()
+    {
+        while (true)
+        {
+
+            // add point to the time chart
+            double signal = 0;
+            for (int jj = 0; jj < Amp.Length; jj++)
+            {
+                signal += (double)(Amp[jj] * Mathf.Sin(2 * Mathf.PI * (float)freq[jj] * (float)count * 1 / (float)samplingFrequency + (float)phase[jj]));
+            }
+            count++;
+
+            Y_values.Add(signal);
+
+
+            if (Y_values.Count >= windowSize)
+            {
+                //ONE IS THE INPUT VALUES
+
+                //this is the window size
+                for (int ii = 0; ii < windowSize; ii++)
+                {
+                    X_inputValues[ii] = ii;
+
+
+                    X_inputValues[ii] = ii;
+                    Y_inputValues[ii] = (Y_values[ii + Y_values.Count - 1 - windowSize]);
+
+                }
+
+
+
+                //perform complex opterations and set up the arrays
+                Complex[] inputSignal_Time = new Complex[windowSize];
+                Complex[] outputSignal_Freq = new Complex[windowSize];
+
+
+                inputSignal_Time = FastFourierTransform.doubleToComplex(Y_inputValues);
+
+
+                //result is the iutput values once FFT has been applied
+                outputSignal_Freq = FastFourierTransform.FFT(inputSignal_Time, false);
+
+                
+                Y_output = new double[windowSize];
+                //get module of complex number
+                for (int ii = 0; ii < windowSize; ii++)
+                {
+                    //Debug.Log(ii);
+                    Y_output[ii] = (double)Complex.Abs(outputSignal_Freq[ii]);
+                }
+
+
+
+                //filter process
+                if (filtermode==filterMode.low_pass)
+                {
+                    Y_inputValues_filtered = Filters.low_pass_band(Y_inputValues, alpha);
+                }
+                else if (filtermode == filterMode.high_pass)
+                {
+                    Y_inputValues_filtered = Filters.high_pass_band(Y_inputValues, alpha);
+                }
+
+               
+
+                //recalculate FFT of filtered 
+                //perform complex opterations and set up the arrays
+                inputSignal_Time = new Complex[windowSize];
+                outputSignal_Freq = new Complex[windowSize];
+                
+                inputSignal_Time = FastFourierTransform.doubleToComplex(Y_inputValues_filtered);
+                
+                //result is the iutput values once FFT has been applied
+                outputSignal_Freq = FastFourierTransform.FFT(inputSignal_Time, false);
+
+
+                Y_output_filtered = new double[windowSize];
+                //get module of complex number
+                for (int ii = 0; ii < windowSize; ii++)
+                {
+                    //Debug.Log(ii);
+                    Y_output_filtered[ii] = (double)Complex.Abs(outputSignal_Freq[ii]);
+                }
+
+            }
+
+
+            yield return new WaitForFixedUpdate();
+
+
+        }
+
+    }
+
+
+
+    void FixedUpdate()
+    {
+        //draw both charts: time-domain and frequency-domain
+        Drawing.drawChart(tfTime, X_inputValues, Y_inputValues, "time");
+        Drawing.drawChart(tfFreq, X_inputValues, Y_output, "frequency");
+
+        //draw both charts: time-domain and frequency-domain
+        Drawing.drawChart(tfTime_filt, X_inputValues, Y_inputValues_filtered, "time");
+        Drawing.drawChart(tfFreq_filt, X_inputValues, Y_output_filtered, "frequency");
+    }
+
+
+
+
+
+
+
+}

Assets/FFT fast fourrier transform/Scripts/Example02_filtering.cs.meta

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+  assetPath: Assets/FFT fast fourrier transform/Scripts/Example02_filtering.cs
+  uploadId: 325757

Assets/FFT fast fourrier transform/Scripts/Example03_soundTreatment.cs

@@ -0,0 +1,139 @@
+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+using UnityEngine.UI;
+using System.Numerics;
+
+public class Example03_soundTreatment : MonoBehaviour
+{
+
+
+    [Space]
+    [Header("[!] set fixed time to 0.01f [!]")]
+    [Header("sound treatment")]
+    [Space]
+
+    //samplingfrequency 
+    public int samplingFrequency;
+
+    //input-output values for the FFT
+    double [] X_inputValues;
+    double [] Y_inputValues;
+    double[] Y_output;
+
+
+    //list with the input values
+    public List<double> Y_values;
+
+    //these are the frequencies, amplitude and phase of the sinus added to the signal
+    [Space(10)]
+    [Header("This is the noise to analyse")]
+    [Space]
+    public AudioClip audioC;
+    public AudioSource audioS;
+
+
+    //counts the steps taken
+    long count = 0;
+
+    //the chart transforms for the time and frequency
+    [Space(10)]
+    [Header("CHARTS FOR DRAWING")]
+    [Space]
+    public Transform tfTime;
+    public Transform tfFreq;
+
+    //window size
+    public long windowSize;
+
+    void Start()
+    {
+        windowSize = audioS.clip.samples * audioS.clip.channels;
+
+        audioS.clip = audioC;
+        audioS.Play();
+
+        //initialize
+        X_inputValues = new double[windowSize];
+        Y_inputValues = new double[windowSize];
+        Y_output = new double[windowSize];
+
+        StartCoroutine(treatmentOfSound());
+
+    }
+
+
+    
+
+    /// <summary>
+    ///  This corrutine obtains these steps in order:
+    ///  1) gets the data from the audiosource
+    ///  2) displays the signal in time domain
+    ///  3) displays the signal in FFT
+    /// </summary>
+
+    IEnumerator treatmentOfSound()
+    {
+
+        //ONE IS THE INPUT VALUES
+        float[] samples = new float[windowSize];
+
+        audioS.clip.GetData(samples, 0);
+
+        
+        //this is the window size
+        for (int ii = 0; ii < windowSize; ii++)
+        {
+            X_inputValues[ii] = ii;
+            Y_inputValues[ii] =(double)samples[ii];
+
+        }
+        
+
+        //perform complex opterations and set up the arrays
+        Complex[] inputSignal_Time = new Complex[windowSize];
+        Complex[] outputSignal_Freq = new Complex[windowSize];
+
+
+        inputSignal_Time = FastFourierTransform.doubleToComplex(Y_inputValues);
+
+
+        //result is the iutput values once FFT has been applied
+        outputSignal_Freq = FastFourierTransform.FFT(inputSignal_Time, false);
+
+
+        Y_output = new double[windowSize];
+        //get module of complex number
+        for (int ii = 0; ii < windowSize; ii++)
+        {
+            //Debug.Log(ii);
+            Y_output[ii] = (double)Complex.Abs(outputSignal_Freq[ii]);
+        }
+
+        
+            
+        yield return null;
+
+
+        
+
+    }
+
+
+
+    void FixedUpdate()
+    {
+        //draw both charts: time-domain and frequency-domain
+        Drawing.drawChart(tfTime, X_inputValues, Y_inputValues, "time");
+        Drawing.drawChart(tfFreq, X_inputValues, Y_output, "frequency");
+
+
+    }
+
+
+
+
+
+
+
+}

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+  uploadId: 325757

Assets/FFT fast fourrier transform/Scripts/FastFourierTransform.cs

@@ -0,0 +1,137 @@
+using System;
+using UnityEngine;
+using System.Numerics;
+
+public class FastFourierTransform : MonoBehaviour
+{
+    /// <summary>
+    /// A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence. 
+    /// It converts a signal from its original domain (often time or space) to a representation in the frequency domain
+    /// </summary>
+    /// 
+
+    //the FFT returns a complex array of numbers given a input array of complex numbers.
+    public static Complex[] FFT(Complex[] input, bool invert)
+    {
+        //in case there is only one element
+        if (input.Length == 1)
+        {
+            return new Complex[] { input[0] };
+        }
+
+        //for more elements we need to otain the lenght of the input data stream
+        int length = input.Length;
+        
+        //half will be the half of the lenght
+        int half = length / 2;
+
+        //this is the result of the FFT
+        Complex[] result = new Complex[length];
+
+        // factor that goes in the
+        double factorEXP = -2.0 * Math.PI / length;
+
+        //in case we want to invert the factor
+        if (invert)
+        {
+            factorEXP = -factorEXP;
+        }
+        
+        
+        //
+        // Cooley–Tukey algorithm. This is a divide and conquer algorithm that recursively breaks down a DFT of any composite size N = N1N2 into many smaller DFTs of sizes N1 and N2,
+        // it is divided into even and odd components
+        //
+
+        //even
+        Complex[] evens = new Complex[half];
+        for (int i = 0; i < half; i++)
+        {
+            evens[i] = input[2 * i];
+        }
+        //FFT recursive call
+        Complex[] evenResult = FFT(evens, invert);
+
+        //odd
+        Complex[] odds = evens;
+        for (int i = 0; i < half; i++)
+        {
+            odds[i] = input[2 * i + 1];
+        }
+        // FFT recursive call
+        Complex[] oddResult = FFT(odds, invert);
+
+
+        // final algorithm
+        //          N/2-1                                N/2-1
+        //   FFT_k= SUM  X_2n ·e^(-2*pi*(2n)*k)/(N/2)  +  SUM  X_2n+1 ·e^(-2*pi*(2n+1)*k)/(N/2) 
+        //           0                                    0
+        //
+        // = Even_k + O_k·e^(-2*pi**k)/(N)
+
+        for (int k = 0; k < half; k++)
+        {
+            double factor_K = factorEXP * k;
+            
+            //                     odd part   &  this is the second part that is added module 1 argument factor_k
+            Complex oddComponent = oddResult[k] * new Complex(1*Math.Cos(factor_K), 1*Math.Sin(factor_K));
+            
+            //first part of the chart
+            result[k] = evenResult[k] + oddComponent;
+            //second part of the chart
+            result[k + half] = evenResult[k] - oddComponent;
+        }
+
+        //reutrn the values (complex). To show FFT we need to display module or "abs" of the complex number
+        return result;
+    }
+
+    public static Complex[] doubleToComplex(double[] inp)
+    {
+        Complex[] outp = new Complex[inp.Length];
+
+        //convert to complex number
+        for (int ii = 0; ii < inp.Length; ii++)
+        {
+
+            outp[ii] = new Complex(inp[ii], 0);
+        }
+
+        return outp;
+    }
+
+
+    /// <summary>
+    /// maximum and minimum funtions for double arrays
+    /// </summary>
+
+    public static double MaxD(double[] inp)
+    {
+        double outp = -1e10;
+
+        for (int ii = 0; ii < inp.Length; ii++)
+        {
+            if (inp[ii] > outp)
+            {
+                outp = inp[ii];
+            }
+        }
+
+        return outp;
+    }
+
+    public static double MinD(double[] inp)
+    {
+        double outp = 1e10;
+
+        for (int ii = 0; ii < inp.Length; ii++)
+        {
+            if (inp[ii] < outp)
+            {
+                outp = inp[ii];
+            }
+        }
+
+        return outp;
+    }
+}

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Assets/FFT fast fourrier transform/Scripts/Filters.cs

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+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+
+public static class Filters
+{
+    //high pass filter
+    public static double[] high_pass_band(double[] inp, double alpha)
+    {
+        double[] outp = new double[inp.Length];
+
+        outp[0] = alpha * inp[0];
+
+        for (int jj = 1; jj < inp.Length; jj++)
+        {
+            outp[jj] = alpha * (outp[jj - 1]) + alpha * (inp[jj] - inp[jj - 1]);
+        }
+
+        return outp;
+
+    }
+
+    // low pass filter
+    public static double[] low_pass_band(double[] inp, double alpha)
+    {
+        double[] outp = new double[inp.Length];
+
+        outp[0] = alpha * inp[0];
+
+        for (int jj = 1; jj < inp.Length; jj++)
+        {
+            outp[jj] = alpha * (inp[jj]) + (1-alpha) * (outp[jj - 1]);
+        }
+
+        return outp;
+
+    }
+}

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Assets/TutorialInfo/Layout.wlt.meta

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Assets/TutorialInfo/Scripts/Editor.meta

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Assets/TutorialInfo/Scripts/Editor/ReadmeEditor.cs

@@ -0,0 +1,242 @@
+using System.Collections;
+using System.Collections.Generic;
+using UnityEngine;
+using UnityEditor;
+using System;
+using System.IO;
+using System.Reflection;
+
+[CustomEditor(typeof(Readme))]
+[InitializeOnLoad]
+public class ReadmeEditor : Editor
+{
+    static string s_ShowedReadmeSessionStateName = "ReadmeEditor.showedReadme";
+    
+    static string s_ReadmeSourceDirectory = "Assets/TutorialInfo";
+
+    const float k_Space = 16f;
+
+    static ReadmeEditor()
+    {
+        EditorApplication.delayCall += SelectReadmeAutomatically;
+    }
+
+    static void RemoveTutorial()
+    {
+        if (EditorUtility.DisplayDialog("Remove Readme Assets",
+            
+            $"All contents under {s_ReadmeSourceDirectory} will be removed, are you sure you want to proceed?",
+            "Proceed",
+            "Cancel"))
+        {
+            if (Directory.Exists(s_ReadmeSourceDirectory))
+            {
+                FileUtil.DeleteFileOrDirectory(s_ReadmeSourceDirectory);
+                FileUtil.DeleteFileOrDirectory(s_ReadmeSourceDirectory + ".meta");
+            }
+            else
+            {
+                Debug.Log($"Could not find the Readme folder at {s_ReadmeSourceDirectory}");
+            }
+
+            var readmeAsset = SelectReadme();
+            if (readmeAsset != null)
+            {
+                var path = AssetDatabase.GetAssetPath(readmeAsset);
+                FileUtil.DeleteFileOrDirectory(path + ".meta");
+                FileUtil.DeleteFileOrDirectory(path);
+            }
+
+            AssetDatabase.Refresh();
+        }
+    }
+
+    static void SelectReadmeAutomatically()
+    {
+        if (!SessionState.GetBool(s_ShowedReadmeSessionStateName, false))
+        {
+            var readme = SelectReadme();
+            SessionState.SetBool(s_ShowedReadmeSessionStateName, true);
+
+            if (readme && !readme.loadedLayout)
+            {
+                LoadLayout();
+                readme.loadedLayout = true;
+            }
+        }
+    }
+
+    static void LoadLayout()
+    {
+        var assembly = typeof(EditorApplication).Assembly;
+        var windowLayoutType = assembly.GetType("UnityEditor.WindowLayout", true);
+        var method = windowLayoutType.GetMethod("LoadWindowLayout", BindingFlags.Public | BindingFlags.Static);
+        method.Invoke(null, new object[] { Path.Combine(Application.dataPath, "TutorialInfo/Layout.wlt"), false });
+    }
+
+    static Readme SelectReadme()
+    {
+        var ids = AssetDatabase.FindAssets("Readme t:Readme");
+        if (ids.Length == 1)
+        {
+            var readmeObject = AssetDatabase.LoadMainAssetAtPath(AssetDatabase.GUIDToAssetPath(ids[0]));
+
+            Selection.objects = new UnityEngine.Object[] { readmeObject };
+
+            return (Readme)readmeObject;
+        }
+        else
+        {
+            Debug.Log("Couldn't find a readme");
+            return null;
+        }
+    }
+
+    protected override void OnHeaderGUI()
+    {
+        var readme = (Readme)target;
+        Init();
+
+        var iconWidth = Mathf.Min(EditorGUIUtility.currentViewWidth / 3f - 20f, 128f);
+
+        GUILayout.BeginHorizontal("In BigTitle");
+        {
+            if (readme.icon != null)
+            {
+                GUILayout.Space(k_Space);
+                GUILayout.Label(readme.icon, GUILayout.Width(iconWidth), GUILayout.Height(iconWidth));
+            }
+            GUILayout.Space(k_Space);
+            GUILayout.BeginVertical();
+            {
+
+                GUILayout.FlexibleSpace();
+                GUILayout.Label(readme.title, TitleStyle);
+                GUILayout.FlexibleSpace();
+            }
+            GUILayout.EndVertical();
+            GUILayout.FlexibleSpace();
+        }
+        GUILayout.EndHorizontal();
+    }
+
+    public override void OnInspectorGUI()
+    {
+        var readme = (Readme)target;
+        Init();
+
+        foreach (var section in readme.sections)
+        {
+            if (!string.IsNullOrEmpty(section.heading))
+            {
+                GUILayout.Label(section.heading, HeadingStyle);
+            }
+
+            if (!string.IsNullOrEmpty(section.text))
+            {
+                GUILayout.Label(section.text, BodyStyle);
+            }
+
+            if (!string.IsNullOrEmpty(section.linkText))
+            {
+                if (LinkLabel(new GUIContent(section.linkText)))
+                {
+                    Application.OpenURL(section.url);
+                }
+            }
+
+            GUILayout.Space(k_Space);
+        }
+
+        if (GUILayout.Button("Remove Readme Assets", ButtonStyle))
+        {
+            RemoveTutorial();
+        }
+    }
+
+    bool m_Initialized;
+
+    GUIStyle LinkStyle
+    {
+        get { return m_LinkStyle; }
+    }
+
+    [SerializeField]
+    GUIStyle m_LinkStyle;
+
+    GUIStyle TitleStyle
+    {
+        get { return m_TitleStyle; }
+    }
+
+    [SerializeField]
+    GUIStyle m_TitleStyle;
+
+    GUIStyle HeadingStyle
+    {
+        get { return m_HeadingStyle; }
+    }
+
+    [SerializeField]
+    GUIStyle m_HeadingStyle;
+
+    GUIStyle BodyStyle
+    {
+        get { return m_BodyStyle; }
+    }
+
+    [SerializeField]
+    GUIStyle m_BodyStyle;
+
+    GUIStyle ButtonStyle
+    {
+        get { return m_ButtonStyle; }
+    }
+
+    [SerializeField]
+    GUIStyle m_ButtonStyle;
+
+    void Init()
+    {
+        if (m_Initialized)
+            return;
+        m_BodyStyle = new GUIStyle(EditorStyles.label);
+        m_BodyStyle.wordWrap = true;
+        m_BodyStyle.fontSize = 14;
+        m_BodyStyle.richText = true;
+
+        m_TitleStyle = new GUIStyle(m_BodyStyle);
+        m_TitleStyle.fontSize = 26;
+
+        m_HeadingStyle = new GUIStyle(m_BodyStyle);
+        m_HeadingStyle.fontStyle = FontStyle.Bold;
+        m_HeadingStyle.fontSize = 18;
+
+        m_LinkStyle = new GUIStyle(m_BodyStyle);
+        m_LinkStyle.wordWrap = false;
+
+        // Match selection color which works nicely for both light and dark skins
+        m_LinkStyle.normal.textColor = new Color(0x00 / 255f, 0x78 / 255f, 0xDA / 255f, 1f);
+        m_LinkStyle.stretchWidth = false;
+
+        m_ButtonStyle = new GUIStyle(EditorStyles.miniButton);
+        m_ButtonStyle.fontStyle = FontStyle.Bold;
+
+        m_Initialized = true;
+    }
+
+    bool LinkLabel(GUIContent label, params GUILayoutOption[] options)
+    {
+        var position = GUILayoutUtility.GetRect(label, LinkStyle, options);
+
+        Handles.BeginGUI();
+        Handles.color = LinkStyle.normal.textColor;
+        Handles.DrawLine(new Vector3(position.xMin, position.yMax), new Vector3(position.xMax, position.yMax));
+        Handles.color = Color.white;
+        Handles.EndGUI();
+
+        EditorGUIUtility.AddCursorRect(position, MouseCursor.Link);
+
+        return GUI.Button(position, label, LinkStyle);
+    }
+}

Assets/TutorialInfo/Scripts/Editor/ReadmeEditor.cs.meta

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Assets/TutorialInfo/Scripts/Readme.cs

@@ -0,0 +1,16 @@
+using System;
+using UnityEngine;
+
+public class Readme : ScriptableObject
+{
+    public Texture2D icon;
+    public string title;
+    public Section[] sections;
+    public bool loadedLayout;
+
+    [Serializable]
+    public class Section
+    {
+        public string heading, text, linkText, url;
+    }
+}

Assets/TutorialInfo/Scripts/Readme.cs.meta

@@ -0,0 +1,12 @@
+fileFormatVersion: 2
+guid: fcf7219bab7fe46a1ad266029b2fee19
+MonoImporter:
+  externalObjects: {}
+  serializedVersion: 2
+  defaultReferences:
+  - icon: {instanceID: 0}
+  executionOrder: 0
+  icon: {fileID: 2800000, guid: a186f8a87ca4f4d3aa864638ad5dfb65, type: 3}
+  userData: 
+  assetBundleName: 
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