InfiniTime.git

commit 505520d83b59e74cb567a3a1e6e55d910faec522

Author: Finlay Davidson <finlay.davidson@coderclass.nl>

arduinofft: Move to submodule, define srqt_internal externally

 .gitmodules | 3 
 src/CMakeLists.txt | 6 
 src/components/heartrate/Ppg.h | 3 
 src/libs/arduinoFFT-develop/.gitignore | 3 
 src/libs/arduinoFFT-develop/Examples/FFT_01/FFT_01.ino | 119 
 src/libs/arduinoFFT-develop/Examples/FFT_02/FFT_02.ino | 125 
 src/libs/arduinoFFT-develop/Examples/FFT_03/FFT_03.ino | 114 
 src/libs/arduinoFFT-develop/Examples/FFT_04/FFT_04.ino | 110 
 src/libs/arduinoFFT-develop/Examples/FFT_05/FFT_05.ino | 124 
 src/libs/arduinoFFT-develop/Examples/FFT_speedup/FFT_speedup.ino | 129 
 src/libs/arduinoFFT-develop/LICENSE | 674 --
 src/libs/arduinoFFT-develop/README.md | 129 
 src/libs/arduinoFFT-develop/changeLog.txt | 40 
 src/libs/arduinoFFT-develop/keywords.txt | 41 
 src/libs/arduinoFFT-develop/library.json | 31 
 src/libs/arduinoFFT-develop/library.properties | 10 
 src/libs/arduinoFFT-develop/src/.gitignore | 1 
 src/libs/arduinoFFT-develop/src/arduinoFFT.h | 498 -
 src/libs/arduinoFFT-develop/src/defs.h | 90 
 src/libs/arduinoFFT-develop/src/types.h | 69 


diff --git a/.gitmodules b/.gitmodules
index e6518b3d3d14e6872846cec5a98a47d7403dcb26..7a4e307bbb0888a6369d6060cbc9544a31a55309 100644
--- a/.gitmodules
+++ b/.gitmodules
@@ -7,3 +7,6 @@ 	url = https://github.com/littlefs-project/littlefs.git
 [submodule "src/libs/QCBOR"]
 	path = src/libs/QCBOR
 	url = https://github.com/laurencelundblade/QCBOR.git
+[submodule "src/libs/arduinoFFT"]
+	path = src/libs/arduinoFFT
+	url = https://github.com/kosme/arduinoFFT.git




diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt
index 1935f8fcb1314a184dc790f2494081741abe4495..d903629b17b9dea83c6c2133f5db61badfbebae7 100644
--- a/src/CMakeLists.txt
+++ b/src/CMakeLists.txt
@@ -672,9 +672,9 @@         drivers/TwiMaster.h
         heartratetask/HeartRateTask.h
         components/heartrate/Ppg.h
         components/heartrate/HeartRateController.h
-        libs/arduinoFFT-develop/src/arduinoFFT.h
-        libs/arduinoFFT-develop/src/defs.h
-        libs/arduinoFFT-develop/src/types.h
+        libs/arduinoFFT/src/arduinoFFT.h
+        libs/arduinoFFT/src/defs.h
+        libs/arduinoFFT/src/types.h
         components/motor/MotorController.h
         buttonhandler/ButtonHandler.h
         touchhandler/TouchHandler.h




diff --git a/src/components/heartrate/Ppg.h b/src/components/heartrate/Ppg.h
index 2f8a1faa006c07e9afbc4e36cb223db85e2a2e33..4492b2c29b93a9fb6fb5b78656153acbd0e0529d 100644
--- a/src/components/heartrate/Ppg.h
+++ b/src/components/heartrate/Ppg.h
@@ -5,8 +5,9 @@ #include 
 #include <cstdint>
 // Note: Change internal define 'sqrt_internal sqrt' to
 // 'sqrt_internal sqrtf' to save ~3KB of flash.
+#define sqrt_internal sqrtf
 #define FFT_SPEED_OVER_PRECISION
-#include "libs/arduinoFFT-develop/src/arduinoFFT.h"
+#include "libs/arduinoFFT/src/arduinoFFT.h"
 
 namespace Pinetime {
   namespace Controllers {








diff --git a/src/libs/arduinoFFT-develop/.gitignore b/src/libs/arduinoFFT-develop/.gitignore
deleted file mode 100644
index 669c770442ca4711f79bb4d01e245002c91e177d..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/.gitignore
+++ /dev/null
@@ -1,3 +0,0 @@
-/.project
-/sync.ffs_db
-*.*bak




diff --git a/src/libs/arduinoFFT-develop/Examples/FFT_01/FFT_01.ino b/src/libs/arduinoFFT-develop/Examples/FFT_01/FFT_01.ino
deleted file mode 100644
index 22b5024a8060a8e0ea696c0f4761fe70e92ec711..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/Examples/FFT_01/FFT_01.ino
+++ /dev/null
@@ -1,119 +0,0 @@
-/*
-
-	Example of use of the FFT libray
-  
-  Copyright (C) 2014 Enrique Condes
-  Copyright (C) 2020 Bim Overbohm (header-only, template, speed improvements)
-
-	This program is free software: you can redistribute it and/or modify
-	it under the terms of the GNU General Public License as published by
-	the Free Software Foundation, either version 3 of the License, or
-	(at your option) any later version.
-
-	This program is distributed in the hope that it will be useful,
-	but WITHOUT ANY WARRANTY; without even the implied warranty of
-	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-	GNU General Public License for more details.
-
-	You should have received a copy of the GNU General Public License
-	along with this program.  If not, see <http://www.gnu.org/licenses/>.
-
-*/
-
-/*
-  In this example, the Arduino simulates the sampling of a sinusoidal 1000 Hz
-  signal with an amplitude of 100, sampled at 5000 Hz. Samples are stored
-  inside the vReal array. The samples are windowed according to Hamming
-  function. The FFT is computed using the windowed samples. Then the magnitudes
-  of each of the frequencies that compose the signal are calculated. Finally,
-  the frequency with the highest peak is obtained, being that the main frequency
-  present in the signal.
-*/
-
-#include "arduinoFFT.h"
-
-/*
-These values can be changed in order to evaluate the functions
-*/
-const uint16_t samples = 64; //This value MUST ALWAYS be a power of 2
-const double signalFrequency = 1000;
-const double samplingFrequency = 5000;
-const uint8_t amplitude = 100;
-
-/*
-These are the input and output vectors
-Input vectors receive computed results from FFT
-*/
-double vReal[samples];
-double vImag[samples];
-
-/* Create FFT object */
-ArduinoFFT<double> FFT = ArduinoFFT<double>(vReal, vImag, samples, samplingFrequency);
-
-#define SCL_INDEX 0x00
-#define SCL_TIME 0x01
-#define SCL_FREQUENCY 0x02
-#define SCL_PLOT 0x03
-
-void setup()
-{
-  Serial.begin(115200);
-  Serial.println("Ready");
-}
-
-void loop()
-{
-  /* Build raw data */
-  double cycles = (((samples-1) * signalFrequency) / samplingFrequency); //Number of signal cycles that the sampling will read
-  for (uint16_t i = 0; i < samples; i++)
-  {
-    vReal[i] = int8_t((amplitude * (sin((i * (TWO_PI * cycles)) / samples))) / 2.0);/* Build data with positive and negative values*/
-    //vReal[i] = uint8_t((amplitude * (sin((i * (twoPi * cycles)) / samples) + 1.0)) / 2.0);/* Build data displaced on the Y axis to include only positive values*/
-    vImag[i] = 0.0; //Imaginary part must be zeroed in case of looping to avoid wrong calculations and overflows
-  }
-  /* Print the results of the simulated sampling according to time */
-  Serial.println("Data:");
-  PrintVector(vReal, samples, SCL_TIME);
-  FFT.windowing(FFTWindow::Hamming, FFTDirection::Forward);	/* Weigh data */
-  Serial.println("Weighed data:");
-  PrintVector(vReal, samples, SCL_TIME);
-  FFT.compute(FFTDirection::Forward); /* Compute FFT */
-  Serial.println("Computed Real values:");
-  PrintVector(vReal, samples, SCL_INDEX);
-  Serial.println("Computed Imaginary values:");
-  PrintVector(vImag, samples, SCL_INDEX);
-  FFT.complexToMagnitude(); /* Compute magnitudes */
-  Serial.println("Computed magnitudes:");
-  PrintVector(vReal, (samples >> 1), SCL_FREQUENCY);
-  double x = FFT.majorPeak();
-  Serial.println(x, 6);
-  while(1); /* Run Once */
-  // delay(2000); /* Repeat after delay */
-}
-
-void PrintVector(double *vData, uint16_t bufferSize, uint8_t scaleType)
-{
-  for (uint16_t i = 0; i < bufferSize; i++)
-  {
-    double abscissa;
-    /* Print abscissa value */
-    switch (scaleType)
-    {
-      case SCL_INDEX:
-        abscissa = (i * 1.0);
-	break;
-      case SCL_TIME:
-        abscissa = ((i * 1.0) / samplingFrequency);
-	break;
-      case SCL_FREQUENCY:
-        abscissa = ((i * 1.0 * samplingFrequency) / samples);
-	break;
-    }
-    Serial.print(abscissa, 6);
-    if(scaleType==SCL_FREQUENCY)
-      Serial.print("Hz");
-    Serial.print(" ");
-    Serial.println(vData[i], 4);
-  }
-  Serial.println();
-}




diff --git a/src/libs/arduinoFFT-develop/Examples/FFT_02/FFT_02.ino b/src/libs/arduinoFFT-develop/Examples/FFT_02/FFT_02.ino
deleted file mode 100644
index 7164dab1f0ced7510f90fd8f7dc34d4a13257bd5..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/Examples/FFT_02/FFT_02.ino
+++ /dev/null
@@ -1,125 +0,0 @@
-/*
-
-	Example of use of the FFT libray to compute FFT for several signals over a range of frequencies.
-        The exponent is calculated once before the excecution since it is a constant.
-        This saves resources during the excecution of the sketch and reduces the compiled size.
-        The sketch shows the time that the computing is taking.
-        
-  Copyright (C) 2014 Enrique Condes
-  Copyright (C) 2020 Bim Overbohm (header-only, template, speed improvements)
-
-	This program is free software: you can redistribute it and/or modify
-	it under the terms of the GNU General Public License as published by
-	the Free Software Foundation, either version 3 of the License, or
-	(at your option) any later version.
-
-	This program is distributed in the hope that it will be useful,
-	but WITHOUT ANY WARRANTY; without even the implied warranty of
-	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-	GNU General Public License for more details.
-
-	You should have received a copy of the GNU General Public License
-	along with this program.  If not, see <http://www.gnu.org/licenses/>.
-
-*/
-
-#include "arduinoFFT.h"
-
-/*
-These values can be changed in order to evaluate the functions
-*/
-const uint16_t samples = 64;
-const double sampling = 40;
-const uint8_t amplitude = 4;
-const double startFrequency = 2;
-const double stopFrequency = 16.4;
-const double step_size = 0.1;
-
-/*
-These are the input and output vectors
-Input vectors receive computed results from FFT
-*/
-double vReal[samples];
-double vImag[samples];
-
-/* Create FFT object */
-ArduinoFFT<double> FFT = ArduinoFFT<double>(vReal, vImag, samples, sampling);
-
-unsigned long startTime;
-
-#define SCL_INDEX 0x00
-#define SCL_TIME 0x01
-#define SCL_FREQUENCY 0x02
-#define SCL_PLOT 0x03
-
-void setup()
-{
-  Serial.begin(115200);
-  Serial.println("Ready");
-}
-
-void loop()
-{
-  Serial.println("Frequency\tDetected\ttakes (ms)");
-  Serial.println("=======================================\n");
-  for(double frequency = startFrequency; frequency<=stopFrequency; frequency+=step_size)
-  {
-    /* Build raw data */
-    double cycles = (((samples-1) * frequency) / sampling);
-    for (uint16_t i = 0; i < samples; i++)
-    {
-      vReal[i] = int8_t((amplitude * (sin((i * (TWO_PI * cycles)) / samples))) / 2.0);
-      vImag[i] = 0; //Reset the imaginary values vector for each new frequency
-    }
-    /*Serial.println("Data:");
-    PrintVector(vReal, samples, SCL_TIME);*/
-    startTime=millis();
-    FFT.windowing(FFTWindow::Hamming, FFTDirection::Forward);	/* Weigh data */
-    /*Serial.println("Weighed data:");
-    PrintVector(vReal, samples, SCL_TIME);*/
-    FFT.compute(FFTDirection::Forward); /* Compute FFT */
-    /*Serial.println("Computed Real values:");
-    PrintVector(vReal, samples, SCL_INDEX);
-    Serial.println("Computed Imaginary values:");
-    PrintVector(vImag, samples, SCL_INDEX);*/
-    FFT.complexToMagnitude(); /* Compute magnitudes */
-    /*Serial.println("Computed magnitudes:");
-    PrintVector(vReal, (samples >> 1), SCL_FREQUENCY);*/
-    double x = FFT.majorPeak();
-    Serial.print(frequency);
-    Serial.print(": \t\t");
-    Serial.print(x, 4);
-    Serial.print("\t\t");
-    Serial.print(millis()-startTime);
-    Serial.println(" ms");
-    // delay(2000); /* Repeat after delay */
-  }
-  while(1); /* Run Once */
-}
-
-void PrintVector(double *vData, uint16_t bufferSize, uint8_t scaleType)
-{
-  for (uint16_t i = 0; i < bufferSize; i++)
-  {
-    double abscissa;
-    /* Print abscissa value */
-    switch (scaleType)
-    {
-      case SCL_INDEX:
-        abscissa = (i * 1.0);
-	break;
-      case SCL_TIME:
-        abscissa = ((i * 1.0) / sampling);
-	break;
-      case SCL_FREQUENCY:
-        abscissa = ((i * 1.0 * sampling) / samples);
-	break;
-    }
-    Serial.print(abscissa, 6);
-    if(scaleType==SCL_FREQUENCY)
-      Serial.print("Hz");
-    Serial.print(" ");
-    Serial.println(vData[i], 4);
-  }
-  Serial.println();
-}




diff --git a/src/libs/arduinoFFT-develop/Examples/FFT_03/FFT_03.ino b/src/libs/arduinoFFT-develop/Examples/FFT_03/FFT_03.ino
deleted file mode 100644
index ee2b29464379a8ab126fd91fca0689995154da32..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/Examples/FFT_03/FFT_03.ino
+++ /dev/null
@@ -1,114 +0,0 @@
-/*
-
-	Example of use of the FFT libray to compute FFT for a signal sampled through the ADC.
-  
-  Copyright (C) 2018 Enrique Condés and Ragnar Ranøyen Homb
-  Copyright (C) 2020 Bim Overbohm (header-only, template, speed improvements)
-
-	This program is free software: you can redistribute it and/or modify
-	it under the terms of the GNU General Public License as published by
-	the Free Software Foundation, either version 3 of the License, or
-	(at your option) any later version.
-
-	This program is distributed in the hope that it will be useful,
-	but WITHOUT ANY WARRANTY; without even the implied warranty of
-	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-	GNU General Public License for more details.
-
-	You should have received a copy of the GNU General Public License
-	along with this program.  If not, see <http://www.gnu.org/licenses/>.
-
-*/
-
-#include "arduinoFFT.h"
-
-/*
-These values can be changed in order to evaluate the functions
-*/
-#define CHANNEL A0
-const uint16_t samples = 64; //This value MUST ALWAYS be a power of 2
-const double samplingFrequency = 100; //Hz, must be less than 10000 due to ADC
-unsigned int sampling_period_us;
-unsigned long microseconds;
-
-/*
-These are the input and output vectors
-Input vectors receive computed results from FFT
-*/
-double vReal[samples];
-double vImag[samples];
-
-/* Create FFT object */
-ArduinoFFT<double> FFT = ArduinoFFT<double>(vReal, vImag, samples, samplingFrequency);
-
-#define SCL_INDEX 0x00
-#define SCL_TIME 0x01
-#define SCL_FREQUENCY 0x02
-#define SCL_PLOT 0x03
-
-void setup()
-{
-  sampling_period_us = round(1000000*(1.0/samplingFrequency));
-  Serial.begin(115200);
-  Serial.println("Ready");
-}
-
-void loop()
-{
-  /*SAMPLING*/
-  microseconds = micros();
-  for(int i=0; i<samples; i++)
-  {
-      vReal[i] = analogRead(CHANNEL);
-      vImag[i] = 0;
-      while(micros() - microseconds < sampling_period_us){
-        //empty loop
-      }
-      microseconds += sampling_period_us;
-  }
-  /* Print the results of the sampling according to time */
-  Serial.println("Data:");
-  PrintVector(vReal, samples, SCL_TIME);
-  FFT.windowing(FFTWindow::Hamming, FFTDirection::Forward);	/* Weigh data */
-  Serial.println("Weighed data:");
-  PrintVector(vReal, samples, SCL_TIME);
-  FFT.compute(FFTDirection::Forward); /* Compute FFT */
-  Serial.println("Computed Real values:");
-  PrintVector(vReal, samples, SCL_INDEX);
-  Serial.println("Computed Imaginary values:");
-  PrintVector(vImag, samples, SCL_INDEX);
-  FFT.complexToMagnitude(); /* Compute magnitudes */
-  Serial.println("Computed magnitudes:");
-  PrintVector(vReal, (samples >> 1), SCL_FREQUENCY);
-  double x = FFT.majorPeak();
-  Serial.println(x, 6); //Print out what frequency is the most dominant.
-  while(1); /* Run Once */
-  // delay(2000); /* Repeat after delay */
-}
-
-void PrintVector(double *vData, uint16_t bufferSize, uint8_t scaleType)
-{
-  for (uint16_t i = 0; i < bufferSize; i++)
-  {
-    double abscissa;
-    /* Print abscissa value */
-    switch (scaleType)
-    {
-      case SCL_INDEX:
-        abscissa = (i * 1.0);
-	break;
-      case SCL_TIME:
-        abscissa = ((i * 1.0) / samplingFrequency);
-	break;
-      case SCL_FREQUENCY:
-        abscissa = ((i * 1.0 * samplingFrequency) / samples);
-	break;
-    }
-    Serial.print(abscissa, 6);
-    if(scaleType==SCL_FREQUENCY)
-      Serial.print("Hz");
-    Serial.print(" ");
-    Serial.println(vData[i], 4);
-  }
-  Serial.println();
-}




diff --git a/src/libs/arduinoFFT-develop/Examples/FFT_04/FFT_04.ino b/src/libs/arduinoFFT-develop/Examples/FFT_04/FFT_04.ino
deleted file mode 100644
index b125991d73b6097e227a9034e3a6ba68d4f69e4a..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/Examples/FFT_04/FFT_04.ino
+++ /dev/null
@@ -1,110 +0,0 @@
-/*
-
-	Example of use of the FFT libray
-  
-  Copyright (C) 2018 Enrique Condes
-  Copyright (C) 2020 Bim Overbohm (header-only, template, speed improvements)
-
-	This program is free software: you can redistribute it and/or modify
-	it under the terms of the GNU General Public License as published by
-	the Free Software Foundation, either version 3 of the License, or
-	(at your option) any later version.
-
-	This program is distributed in the hope that it will be useful,
-	but WITHOUT ANY WARRANTY; without even the implied warranty of
-	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-	GNU General Public License for more details.
-
-	You should have received a copy of the GNU General Public License
-	along with this program.  If not, see <http://www.gnu.org/licenses/>.
-
-*/
-
-/*
-  In this example, the Arduino simulates the sampling of a sinusoidal 1000 Hz
-  signal with an amplitude of 100, sampled at 5000 Hz. Samples are stored
-  inside the vReal array. The samples are windowed according to Hamming
-  function. The FFT is computed using the windowed samples. Then the magnitudes
-  of each of the frequencies that compose the signal are calculated. Finally,
-  the frequency spectrum magnitudes are printed. If you use the Arduino IDE
-  serial plotter, you will see a single spike corresponding to the 1000 Hz
-  frecuency.
-*/
-
-#include "arduinoFFT.h"
-
-/*
-These values can be changed in order to evaluate the functions
-*/
-const uint16_t samples = 64; //This value MUST ALWAYS be a power of 2
-const double signalFrequency = 1000;
-const double samplingFrequency = 5000;
-const uint8_t amplitude = 100;
-
-/*
-These are the input and output vectors
-Input vectors receive computed results from FFT
-*/
-double vReal[samples];
-double vImag[samples];
-
-ArduinoFFT<double> FFT = ArduinoFFT<double>(vReal, vImag, samples, samplingFrequency);
-
-#define SCL_INDEX 0x00
-#define SCL_TIME 0x01
-#define SCL_FREQUENCY 0x02
-#define SCL_PLOT 0x03
-
-void setup()
-{
-  Serial.begin(115200);
-}
-
-void loop()
-{
-  /* Build raw data */
-  double cycles = (((samples-1) * signalFrequency) / samplingFrequency); //Number of signal cycles that the sampling will read
-  for (uint16_t i = 0; i < samples; i++)
-  {
-    vReal[i] = int8_t((amplitude * (sin((i * (TWO_PI * cycles)) / samples))) / 2.0);/* Build data with positive and negative values*/
-    //vReal[i] = uint8_t((amplitude * (sin((i * (twoPi * cycles)) / samples) + 1.0)) / 2.0);/* Build data displaced on the Y axis to include only positive values*/
-    vImag[i] = 0.0; //Imaginary part must be zeroed in case of looping to avoid wrong calculations and overflows
-  }
-  FFT.windowing(FFTWindow::Hamming, FFTDirection::Forward);	/* Weigh data */
-  FFT.compute(FFTDirection::Forward); /* Compute FFT */
-  FFT.complexToMagnitude(); /* Compute magnitudes */
-  PrintVector(vReal, samples>>1, SCL_PLOT);
-  double x = FFT.majorPeak();
-  while(1); /* Run Once */
-  // delay(2000); /* Repeat after delay */
-}
-
-void PrintVector(double *vData, uint16_t bufferSize, uint8_t scaleType)
-{
-  for (uint16_t i = 0; i < bufferSize; i++)
-  {
-    double abscissa;
-    /* Print abscissa value */
-    switch (scaleType)
-    {
-      case SCL_INDEX:
-        abscissa = (i * 1.0);
-	      break;
-      case SCL_TIME:
-        abscissa = ((i * 1.0) / samplingFrequency);
-        break;
-      case SCL_FREQUENCY:
-        abscissa = ((i * 1.0 * samplingFrequency) / samples);
-	      break;
-    }
-    if(scaleType!=SCL_PLOT)
-    {
-      Serial.print(abscissa, 6);
-      if(scaleType==SCL_FREQUENCY)
-        Serial.print("Hz");
-      Serial.print(" ");
-    }
-    Serial.println(vData[i], 4);
-  }
-  Serial.println();
-}




diff --git a/src/libs/arduinoFFT-develop/Examples/FFT_05/FFT_05.ino b/src/libs/arduinoFFT-develop/Examples/FFT_05/FFT_05.ino
deleted file mode 100644
index a6f4df7a24abb0303f00840a3bb0a73078569c70..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/Examples/FFT_05/FFT_05.ino
+++ /dev/null
@@ -1,124 +0,0 @@
-/*
-
-	Example of use of the FFT libray
-  
-  Copyright (C) 2014 Enrique Condes
-  Copyright (C) 2020 Bim Overbohm (header-only, template, speed improvements)
-
-	This program is free software: you can redistribute it and/or modify
-	it under the terms of the GNU General Public License as published by
-	the Free Software Foundation, either version 3 of the License, or
-	(at your option) any later version.
-
-	This program is distributed in the hope that it will be useful,
-	but WITHOUT ANY WARRANTY; without even the implied warranty of
-	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-	GNU General Public License for more details.
-
-	You should have received a copy of the GNU General Public License
-	along with this program.  If not, see <http://www.gnu.org/licenses/>.
-
-*/
-
-/*
-  In this example, the Arduino simulates the sampling of a sinusoidal 1000 Hz
-  signal with an amplitude of 100, sampled at 5000 Hz. Samples are stored
-  inside the vReal array. The samples are windowed according to Hamming
-  function. The FFT is computed using the windowed samples. Then the magnitudes
-  of each of the frequencies that compose the signal are calculated. Finally,
-  the frequency with the highest peak is obtained, being that the main frequency
-  present in the signal. This frequency is printed, along with the magnitude of
-  the peak.
-*/
-
-#include "arduinoFFT.h"
-
-/*
-These values can be changed in order to evaluate the functions
-*/
-const uint16_t samples = 64; //This value MUST ALWAYS be a power of 2
-const double signalFrequency = 1000;
-const double samplingFrequency = 5000;
-const uint8_t amplitude = 100;
-
-/*
-These are the input and output vectors
-Input vectors receive computed results from FFT
-*/
-double vReal[samples];
-double vImag[samples];
-
-/* Create FFT object */
-ArduinoFFT<double> FFT = ArduinoFFT<double>(vReal, vImag, samples, samplingFrequency);
-
-#define SCL_INDEX 0x00
-#define SCL_TIME 0x01
-#define SCL_FREQUENCY 0x02
-#define SCL_PLOT 0x03
-
-void setup()
-{
-  Serial.begin(115200);
-  Serial.println("Ready");
-}
-
-void loop()
-{
-  /* Build raw data */
-  double cycles = (((samples-1) * signalFrequency) / samplingFrequency); //Number of signal cycles that the sampling will read
-  for (uint16_t i = 0; i < samples; i++)
-  {
-    vReal[i] = int8_t((amplitude * (sin((i * (TWO_PI * cycles)) / samples))) / 2.0);/* Build data with positive and negative values*/
-    //vReal[i] = uint8_t((amplitude * (sin((i * (twoPi * cycles)) / samples) + 1.0)) / 2.0);/* Build data displaced on the Y axis to include only positive values*/
-    vImag[i] = 0.0; //Imaginary part must be zeroed in case of looping to avoid wrong calculations and overflows
-  }
-  /* Print the results of the simulated sampling according to time */
-  Serial.println("Data:");
-  PrintVector(vReal, samples, SCL_TIME);
-  FFT.windowing(FFTWindow::Hamming, FFTDirection::Forward);	/* Weigh data */
-  Serial.println("Weighed data:");
-  PrintVector(vReal, samples, SCL_TIME);
-  FFT.compute(FFTDirection::Forward); /* Compute FFT */
-  Serial.println("Computed Real values:");
-  PrintVector(vReal, samples, SCL_INDEX);
-  Serial.println("Computed Imaginary values:");
-  PrintVector(vImag, samples, SCL_INDEX);
-  FFT.complexToMagnitude(); /* Compute magnitudes */
-  Serial.println("Computed magnitudes:");
-  PrintVector(vReal, (samples >> 1), SCL_FREQUENCY);
-  double x;
-  double v;
-  FFT.majorPeak(x, v);
-  Serial.print(x, 6);
-  Serial.print(", ");
-  Serial.println(v, 6);
-  while(1); /* Run Once */
-  // delay(2000); /* Repeat after delay */
-}
-
-void PrintVector(double *vData, uint16_t bufferSize, uint8_t scaleType)
-{
-  for (uint16_t i = 0; i < bufferSize; i++)
-  {
-    double abscissa;
-    /* Print abscissa value */
-    switch (scaleType)
-    {
-      case SCL_INDEX:
-        abscissa = (i * 1.0);
-	break;
-      case SCL_TIME:
-        abscissa = ((i * 1.0) / samplingFrequency);
-	break;
-      case SCL_FREQUENCY:
-        abscissa = ((i * 1.0 * samplingFrequency) / samples);
-	break;
-    }
-    Serial.print(abscissa, 6);
-    if(scaleType==SCL_FREQUENCY)
-      Serial.print("Hz");
-    Serial.print(" ");
-    Serial.println(vData[i], 4);
-  }
-  Serial.println();
-}




diff --git a/src/libs/arduinoFFT-develop/Examples/FFT_speedup/FFT_speedup.ino b/src/libs/arduinoFFT-develop/Examples/FFT_speedup/FFT_speedup.ino
deleted file mode 100644
index a059a170bac212a33e4343e25b5b1339215781cf..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/Examples/FFT_speedup/FFT_speedup.ino
+++ /dev/null
@@ -1,129 +0,0 @@
-/*
-
-	Example of use of the FFT libray to compute FFT for a signal sampled through the ADC
-    with speedup through different arduinoFFT options. Based on examples/FFT_03/FFT_03.ino
-  
-    Copyright (C) 2020 Bim Overbohm (header-only, template, speed improvements)
-
-	This program is free software: you can redistribute it and/or modify
-	it under the terms of the GNU General Public License as published by
-	the Free Software Foundation, either version 3 of the License, or
-	(at your option) any later version.
-
-	This program is distributed in the hope that it will be useful,
-	but WITHOUT ANY WARRANTY; without even the implied warranty of
-	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-	GNU General Public License for more details.
-
-	You should have received a copy of the GNU General Public License
-	along with this program.  If not, see <http://www.gnu.org/licenses/>.
-
-*/
-
-// There are two speedup options for some of the FFT code:
-
-// Define this to use reciprocal multiplication for division and some more speedups that might decrease precision
-//#define FFT_SPEED_OVER_PRECISION
-
-// Define this to use a low-precision square root approximation instead of the regular sqrt() call
-// This might only work for specific use cases, but is significantly faster. Only works for ArduinoFFT<float>.
-//#define FFT_SQRT_APPROXIMATION
-
-#include "arduinoFFT.h"
-
-/*
-These values can be changed in order to evaluate the functions
-*/
-#define CHANNEL A0
-const uint16_t samples = 64; //This value MUST ALWAYS be a power of 2
-const float samplingFrequency = 100; //Hz, must be less than 10000 due to ADC
-unsigned int sampling_period_us;
-unsigned long microseconds;
-
-/*
-These are the input and output vectors
-Input vectors receive computed results from FFT
-*/
-float vReal[samples];
-float vImag[samples];
-
-/*
-Allocate space for FFT window weighing factors, so they are calculated only the first time windowing() is called.
-If you don't do this, a lot of calculations are necessary, depending on the window function.
-*/
-float weighingFactors[samples];
-
-/* Create FFT object with weighing factor storage */
-ArduinoFFT<float> FFT = ArduinoFFT<float>(vReal, vImag, samples, samplingFrequency, weighingFactors);
-
-#define SCL_INDEX 0x00
-#define SCL_TIME 0x01
-#define SCL_FREQUENCY 0x02
-#define SCL_PLOT 0x03
-
-void setup()
-{
-  sampling_period_us = round(1000000*(1.0/samplingFrequency));
-  Serial.begin(115200);
-  Serial.println("Ready");
-}
-
-void loop()
-{
-  /*SAMPLING*/
-  microseconds = micros();
-  for(int i=0; i<samples; i++)
-  {
-      vReal[i] = analogRead(CHANNEL);
-      vImag[i] = 0;
-      while(micros() - microseconds < sampling_period_us){
-        //empty loop
-      }
-      microseconds += sampling_period_us;
-  }
-  /* Print the results of the sampling according to time */
-  Serial.println("Data:");
-  PrintVector(vReal, samples, SCL_TIME);
-  FFT.windowing(FFTWindow::Hamming, FFTDirection::Forward);	/* Weigh data */
-  Serial.println("Weighed data:");
-  PrintVector(vReal, samples, SCL_TIME);
-  FFT.compute(FFTDirection::Forward); /* Compute FFT */
-  Serial.println("Computed Real values:");
-  PrintVector(vReal, samples, SCL_INDEX);
-  Serial.println("Computed Imaginary values:");
-  PrintVector(vImag, samples, SCL_INDEX);
-  FFT.complexToMagnitude(); /* Compute magnitudes */
-  Serial.println("Computed magnitudes:");
-  PrintVector(vReal, (samples >> 1), SCL_FREQUENCY);
-  float x = FFT.majorPeak();
-  Serial.println(x, 6); //Print out what frequency is the most dominant.
-  while(1); /* Run Once */
-  // delay(2000); /* Repeat after delay */
-}
-
-void PrintVector(float *vData, uint16_t bufferSize, uint8_t scaleType)
-{
-  for (uint16_t i = 0; i < bufferSize; i++)
-  {
-    float abscissa;
-    /* Print abscissa value */
-    switch (scaleType)
-    {
-      case SCL_INDEX:
-        abscissa = (i * 1.0);
-	break;
-      case SCL_TIME:
-        abscissa = ((i * 1.0) / samplingFrequency);
-	break;
-      case SCL_FREQUENCY:
-        abscissa = ((i * 1.0 * samplingFrequency) / samples);
-	break;
-    }
-    Serial.print(abscissa, 6);
-    if(scaleType==SCL_FREQUENCY)
-      Serial.print("Hz");
-    Serial.print(" ");
-    Serial.println(vData[i], 4);
-  }
-  Serial.println();
-}




diff --git a/src/libs/arduinoFFT-develop/LICENSE b/src/libs/arduinoFFT-develop/LICENSE
deleted file mode 100644
index 70566f2d0e526993b58e746bb8a2747c81668f3f..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/LICENSE
+++ /dev/null
@@ -1,674 +0,0 @@
-GNU GENERAL PUBLIC LICENSE
-                       Version 3, 29 June 2007
-
- Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/>
- Everyone is permitted to copy and distribute verbatim copies
- of this license document, but changing it is not allowed.
-
-                            Preamble
-
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-software and other kinds of works.
-
-  The licenses for most software and other practical works are designed
-to take away your freedom to share and change the works.  By contrast,
-the GNU General Public License is intended to guarantee your freedom to
-share and change all versions of a program--to make sure it remains free
-software for all its users.  We, the Free Software Foundation, use the
-GNU General Public License for most of our software; it applies also to
-any other work released this way by its authors.  You can apply it to
-your programs, too.
-
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-price.  Our General Public Licenses are designed to make sure that you
-have the freedom to distribute copies of free software (and charge for
-them if you wish), that you receive source code or can get it if you
-want it, that you can change the software or use pieces of it in new
-free programs, and that you know you can do these things.
-
-  To protect your rights, we need to prevent others from denying you
-these rights or asking you to surrender the rights.  Therefore, you have
-certain responsibilities if you distribute copies of the software, or if
-you modify it: responsibilities to respect the freedom of others.
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-(1) assert copyright on the software, and (2) offer you this License
-giving you legal permission to copy, distribute and/or modify it.
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-that there is no warranty for this free software.  For both users' and
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-copy of the Program in return for a fee.
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-free software which everyone can redistribute and change under these terms.
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-to attach them to the start of each source file to most effectively
-state the exclusion of warranty; and each file should have at least
-the "copyright" line and a pointer to where the full notice is found.
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-    This is free software, and you are welcome to redistribute it
-    under certain conditions; type `show c' for details.
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-if any, to sign a "copyright disclaimer" for the program, if necessary.
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-into proprietary programs.  If your program is a subroutine library, you
-may consider it more useful to permit linking proprietary applications with
-the library.  If this is what you want to do, use the GNU Lesser General
-Public License instead of this License.  But first, please read
-<http://www.gnu.org/philosophy/why-not-lgpl.html>.
\ No newline at end of file




diff --git a/src/libs/arduinoFFT-develop/README.md b/src/libs/arduinoFFT-develop/README.md
deleted file mode 100644
index f9229ef9b15105aea0d6a50dffe412cacabc22fe..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/README.md
+++ /dev/null
@@ -1,129 +0,0 @@
-arduinoFFT
-==========
-
-# Fast Fourier Transform for Arduino
-
-This is a fork from https://code.google.com/p/makefurt/ which has been abandoned since 2011.
-~~This is a C++ library for Arduino for computing FFT.~~ Now it works both on Arduino and C projects. This is version 2.0 of the library, which has a different [API](#api). See here [how to migrate from 1.x to 2.x](#migrating-from-1x-to-2x).
-Tested on Arduino 1.6.11 and 1.8.10.
-
-## Installation on Arduino
-
-Use the Arduino Library Manager to install and keep it updated. Just look for arduinoFFT. Only for Arduino 1.5+
-
-## Manual installation on Arduino
-
-To install this library, just place this entire folder as a subfolder in your Arduino installation. When installed, this library should look like:
-
-`Arduino\libraries\arduinoFTT` (this library's folder)  
-`Arduino\libraries\arduinoFTT\src\arduinoFTT.h` (the library header file. include this in your project)  
-`Arduino\libraries\arduinoFTT\keywords.txt` (the syntax coloring file)  
-`Arduino\libraries\arduinoFTT\Examples` (the examples in the "open" menu)  
-`Arduino\libraries\arduinoFTT\LICENSE` (GPL license file)  
-`Arduino\libraries\arduinoFTT\README.md` (this file)
-
-## Building on Arduino
-
-After this library is installed, you just have to start the Arduino application.
-You may see a few warning messages as it's built.  
-To use this library in a sketch, go to the Sketch | Import Library menu and
-select arduinoFTT.  This will add a corresponding line to the top of your sketch:
-
-`#include <arduinoFTT.h>`
-
-## API
-
-* ```ArduinoFFT(T *vReal, T *vImag, uint_fast16_t samples, T samplingFrequency, T * weighingFactors = nullptr);```  
-Constructor.
-The type `T` can be `float` or `double`. `vReal` and `vImag` are pointers to arrays of real and imaginary data and have to be allocated outside of ArduinoFFT. `samples` is the number of samples in `vReal` and `vImag` and `weighingFactors` (if specified). `samplingFrequency` is the sample frequency of the data. `weighingFactors` can optionally be specified to cache weighing factors for the windowing function. This speeds up repeated calls to **windowing()** significantly. You can deallocate `vReal` and `vImag` after you are done using the library, or only use specific library functions that only need one of those arrays.
-
-```C++
-const uint32_t nrOfSamples = 1024;
-auto real = new float[nrOfSamples];
-auto imag = new float[nrOfSamples];
-auto fft = ArduinoFFT<float>(real, imag, nrOfSamples, 10000);
-// ... fill real + imag and use it ...
-fft.compute();
-fft.complexToMagnitude();
-delete [] imag;
-// ... continue using real and only functions that use real ...
-auto peak = fft.majorPeak();
-```
-* ```~ArduinoFFT()```   
-Destructor.
-* ```void complexToMagnitude() const;```  
-Convert complex values to their magnitude and store in vReal. Uses vReal and vImag.
-* ```void compute(FFTDirection dir) const;```  
-Calcuates the Fast Fourier Transform. Uses vReal and vImag.
-* ```void dcRemoval() const;```  
-Removes the DC component from the sample data. Uses vReal.
-* ```T majorPeak() const;```  
-Returns the frequency of the biggest spike in the analyzed signal. Uses vReal.
-* ```void majorPeak(T &frequency, T &value) const;```  
-Returns the frequency and the value of the biggest spike in the analyzed signal. Uses vReal.
-* ```uint8_t revision() const;```  
-Returns the library revision.
-* ```void setArrays(T *vReal, T *vImag);```  
-Replace the data array pointers.
-* ```void windowing(FFTWindow windowType, FFTDirection dir, bool withCompensation = false);```  
-Performs a windowing function on the values array. Uses vReal. The possible windowing options are:
-  * Rectangle
-  * Hamming
-  * Hann
-  * Triangle
-  * Nuttall
-  * Blackman
-  * Blackman_Nuttall
-  * Blackman_Harris
-  * Flat_top
-  * Welch
-
-  If `withCompensation` == true, the following compensation factors are used:
-  * Rectangle: 1.0 * 2.0
-  * Hamming: 1.8549343278 * 2.0
-  * Hann: 1.8554726898 * 2.0
-  * Triangle: 2.0039186079 * 2.0
-  * Nuttall: 2.8163172034 * 2.0
-  * Blackman: 2.3673474360 * 2.0
-  * Blackman Nuttall: 2.7557840395 * 2.0
-  * Blackman Harris: 2.7929062517 * 2.0
-  * Flat top: 3.5659039231 * 2.0
-  * Welch: 1.5029392863 * 2.0
-
-## Special flags
-
-You can define these before including arduinoFFT.h:
-
-* #define FFT_SPEED_OVER_PRECISION  
-Define this to use reciprocal multiplication for division and some more speedups that might decrease precision.
-
-* #define FFT_SQRT_APPROXIMATION  
-Define this to use a low-precision square root approximation instead of the regular sqrt() call. This might only work for specific use cases, but is significantly faster. Only works if `T == float`.
-
-See the `FFT_speedup.ino` example in `Examples/FFT_speedup/FFT_speedup.ino`.
-
-# Migrating from 1.x to 2.x
-
-* The function signatures where you could pass in pointers were deprecated and have been removed. Pass in pointers to your real / imaginary array in the ArduinoFFT() constructor. If you have the need to replace those pointers during usage of the library (e.g. to free memory) you can do the following:
-
-```C++
-const uint32_t nrOfSamples = 1024;
-auto real = new float[nrOfSamples];
-auto imag = new float[nrOfSamples];
-auto fft = ArduinoFFT<float>(real, imag, nrOfSamples, 10000);
-// ... fill real + imag and use it ...
-fft.compute();
-fft.complexToMagnitude();
-delete [] real;
-// ... replace vReal in library with imag ...
-fft.setArrays(imag, nullptr);
-// ... keep doing whatever ...
-```
-* All function names are camelCase case now (start with lower-case character), e.g. "windowing()" instead of "Windowing()".
-
-## TODO
-* Ratio table for windowing function.
-* Document windowing functions advantages and disadvantages.
-* Optimize usage and arguments.
-* Add new windowing functions.
-* ~~Spectrum table?~~




diff --git a/src/libs/arduinoFFT-develop/changeLog.txt b/src/libs/arduinoFFT-develop/changeLog.txt
deleted file mode 100644
index d49b854887c524913581900345ab7a0582df6c93..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/changeLog.txt
+++ /dev/null
@@ -1,40 +0,0 @@
-02/22/20 v1.9.2
-Fix compilation on AVR systems.
-
-02/22/20 v1.9.1
-Add setArrays() function because of issue #32.
-Add API migration info to README and improve README.
-Use better sqrtf() approximation.
-
-02/19/20 v1.9.0
-Remove deprecated API. Consistent renaming of functions to lowercase.
-Make template to be able to use float or double type (float brings a ~70% speed increase on ESP32).
-Add option to provide cache for window function weighing factors (~50% speed increase on ESP32).
-Add some #defines to enable math approximisations to further speed up code (~40% speed increase on ESP32).
-
-01/27/20 v1.5.5
-Lookup table for constants c1 and c2 used during FFT comupting. This increases the FFT computing speed in around 5%.
-
-02/10/18 v1.4
-Transition version. Minor optimization to functions. New API. Deprecation of old functions.
-
-12/06/18 v1.3
-Add support for mbed development boards.
-
-09/04/17 v1.2.3
-Finally solves the issue of Arduino IDE not correctly detecting and highlighting the keywords.
-
-09/03/17 v1.2.2
-Solves a format issue in keywords.txt that prevented keywords from being detected.
-
-08/28/17 v1.2.1
-Fix to issues 6 and 7. Not cleaning the imaginary vector after each cycle leaded to erroneous calculations and could cause buffer overflows.
-
-08/04/17 v1.2
-Fix to bug preventing the number of samples to be greater than 128. New logical limit is 32768 samples but it is bound to the RAM on the chip.
-
-05/12/17 v1.1
-Fix issue that prevented installation through the Arduino Library Manager interface.
-
-05/11/17 v1.0
-Initial commit to Arduino Library Manager.




diff --git a/src/libs/arduinoFFT-develop/keywords.txt b/src/libs/arduinoFFT-develop/keywords.txt
deleted file mode 100644
index 3807cdbdc3026f0ffce7e05a12db68b929a99443..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/keywords.txt
+++ /dev/null
@@ -1,41 +0,0 @@
-#######################################
-# Syntax Coloring Map For arduinoFFT
-#######################################
-
-#######################################
-# Datatypes (KEYWORD1)
-#######################################
-
-ArduinoFFT	KEYWORD1
-FFTDirection	KEYWORD1
-FFTWindow	KEYWORD1
-
-#######################################
-# Methods and Functions (KEYWORD2)
-#######################################
-
-complexToMagnitude	KEYWORD2
-compute	KEYWORD2
-dcRemoval	KEYWORD2
-windowing	KEYWORD2
-exponent	KEYWORD2
-revision	KEYWORD2
-majorPeak	KEYWORD2
-setArrays	KEYWORD2
-
-#######################################
-# Constants (LITERAL1)
-#######################################
-
-Forward	LITERAL1
-Reverse	LITERAL1
-Rectangle	LITERAL1
-Hamming	LITERAL1
-Hann	LITERAL1
-Triangle	LITERAL1
-Nuttall	LITERAL1
-Blackman	LITERAL1
-Blackman_Nuttall	LITERAL1
-Blackman_Harris	LITERAL1
-Flat_top	LITERAL1
-Welch	LITERAL1




diff --git a/src/libs/arduinoFFT-develop/library.json b/src/libs/arduinoFFT-develop/library.json
deleted file mode 100644
index 6c35419341a8f5abc8ce7ce67bd362b0bbfd699d..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/library.json
+++ /dev/null
@@ -1,31 +0,0 @@
-{
-  "name": "arduinoFFT",
-  "keywords": "FFT, Fourier, FDT, frequency",
-  "description": "A library for implementing floating point Fast Fourier Transform calculations.",
-  "repository":
-  {
-    "type": "git",
-    "url": "https://github.com/kosme/arduinoFFT.git"
-  },
-  "authors":
-  [
-    {
-      "name": "Enrique Condes",
-      "email": "enrique@shapeoko.com",
-      "maintainer": true
-    },
-    {
-      "name": "Didier Longueville",
-      "url": "http://www.arduinoos.com/",
-      "email": "contact@arduinoos.com"
-    },
-    {
-      "name": "Bim Overbohm",
-      "url": "https://github.com/HorstBaerbel",
-      "email": "bim.overbohm@googlemail.com"
-    }
-  ],
-  "version": "1.9.2",
-  "frameworks": ["arduino","mbed","espidf"],
-  "platforms": "*"
-}




diff --git a/src/libs/arduinoFFT-develop/library.properties b/src/libs/arduinoFFT-develop/library.properties
deleted file mode 100644
index 0a909477f52f0b1214310d31605a771912cc9fe2..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/library.properties
+++ /dev/null
@@ -1,10 +0,0 @@
-name=arduinoFFT
-version=1.9.2
-author=Enrique Condes <enrique@shapeoko.com>
-maintainer=Enrique Condes <enrique@shapeoko.com>
-sentence=A library for implementing floating point Fast Fourier Transform calculations on Arduino.
-paragraph=With this library you can calculate the frequency of a sampled signal.
-category=Data Processing
-url=https://github.com/kosme/arduinoFFT
-architectures=*
-includes=arduinoFFT.h




diff --git a/src/libs/arduinoFFT-develop/src/.gitignore b/src/libs/arduinoFFT-develop/src/.gitignore
deleted file mode 100644
index 00e95bf623bc738b47dbb564f9aaa37d32861da3..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/src/.gitignore
+++ /dev/null
@@ -1 +0,0 @@
-/arduinoFFT.h.gch




diff --git a/src/libs/arduinoFFT-develop/src/arduinoFFT.h b/src/libs/arduinoFFT-develop/src/arduinoFFT.h
deleted file mode 100644
index fe8f9d91cdd1fc1e4b94fcd7edcb92cfada6e13d..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/src/arduinoFFT.h
+++ /dev/null
@@ -1,498 +0,0 @@
-/*
-
-	FFT library
-	Copyright (C) 2010 Didier Longueville
-	Copyright (C) 2014 Enrique Condes
-	Copyright (C) 2020 Bim Overbohm (header-only, template, speed improvements)
-
-	This program is free software: you can redistribute it and/or modify
-	it under the terms of the GNU General Public License as published by
-	the Free Software Foundation, either version 3 of the License, or
-	(at your option) any later version.
-
-	This program is distributed in the hope that it will be useful,
-	but WITHOUT ANY WARRANTY; without even the implied warranty of
-	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-	GNU General Public License for more details.
-
-	You should have received a copy of the GNU General Public License
-	along with this program.  If not, see <http://www.gnu.org/licenses/>.
-
-*/
-
-#ifndef ArduinoFFT_h /* Prevent loading library twice */
-#define ArduinoFFT_h
-#ifdef ARDUINO
-#if ARDUINO >= 100
-#include "Arduino.h"
-#else
-#include "WProgram.h" /* This is where the standard Arduino code lies */
-#endif
-#else
-#include <stdlib.h>
-#include <stdio.h>
-#ifdef __AVR__
-#include <avr/io.h>
-#include <avr/pgmspace.h>
-#endif
-#include <math.h>
-#include "defs.h"
-#include "types.h"
-#endif
-
-// Define this to use reciprocal multiplication for division and some more speedups that might decrease precision
-//#define FFT_SPEED_OVER_PRECISION
-
-// Define this to use a low-precision square root approximation instead of the regular sqrt() call
-// This might only work for specific use cases, but is significantly faster. Only works for ArduinoFFT<float>.
-//#define FFT_SQRT_APPROXIMATION
-
-#ifdef FFT_SQRT_APPROXIMATION
-	#include <type_traits>
-#else
-	#define sqrt_internal sqrtf
-#endif
-
-enum class FFTDirection
-{
-	Reverse,
-	Forward
-};
-
-enum class FFTWindow
-{
-	Rectangle,		  // rectangle (Box car)
-	Hamming,		  // hamming
-	Hann,			  // hann
-	Triangle,		  // triangle (Bartlett)
-	Nuttall,		  // nuttall
-	Blackman,		  //blackman
-	Blackman_Nuttall, // blackman nuttall
-	Blackman_Harris,  // blackman harris
-	Flat_top,		  // flat top
-	Welch			  // welch
-};
-
-template <typename T>
-class ArduinoFFT
-{
-public:
-	// Constructor
-	ArduinoFFT(T *vReal, T *vImag, uint_fast16_t samples, T samplingFrequency, T *windowWeighingFactors = nullptr)
-		: _vReal(vReal)
-		, _vImag(vImag)
-		, _samples(samples)
-#ifdef FFT_SPEED_OVER_PRECISION
-		, _oneOverSamples(1.0 / samples)
-#endif
-		, _samplingFrequency(samplingFrequency)
-		, _windowWeighingFactors(windowWeighingFactors)
-	{
-		// Calculates the base 2 logarithm of sample count
-		_power = 0;
-		while (((samples >> _power) & 1) != 1)
-		{
-			_power++;
-		}
-	}
-
-	// Destructor
-	~ArduinoFFT()
-	{
-	}
-
-	// Get library revision
-	static uint8_t revision()
-	{
-		return 0x19;
-	}
-
-	// Replace the data array pointers
-	void setArrays(T *vReal, T *vImag)
-	{
-		_vReal = vReal;
-		_vImag = vImag;
-	}
-
-	// Computes in-place complex-to-complex FFT
-	void compute(FFTDirection dir) const
-	{
-		// Reverse bits /
-		uint_fast16_t j = 0;
-		for (uint_fast16_t i = 0; i < (this->_samples - 1); i++)
-		{
-			if (i < j)
-			{
-				Swap(this->_vReal[i], this->_vReal[j]);
-				if (dir == FFTDirection::Reverse)
-				{
-					Swap(this->_vImag[i], this->_vImag[j]);
-				}
-			}
-			uint_fast16_t k = (this->_samples >> 1);
-			while (k <= j)
-			{
-				j -= k;
-				k >>= 1;
-			}
-			j += k;
-		}
-		// Compute the FFT
-#ifdef __AVR__
-		uint_fast8_t index = 0;
-#endif
-		T c1 = -1.0;
-		T c2 = 0.0;
-		uint_fast16_t l2 = 1;
-		for (uint_fast8_t l = 0; (l < this->_power); l++)
-		{
-			uint_fast16_t l1 = l2;
-			l2 <<= 1;
-			T u1 = 1.0;
-			T u2 = 0.0;
-			for (j = 0; j < l1; j++)
-			{
-				for (uint_fast16_t i = j; i < this->_samples; i += l2)
-				{
-					uint_fast16_t i1 = i + l1;
-					T t1 = u1 * this->_vReal[i1] - u2 * this->_vImag[i1];
-					T t2 = u1 * this->_vImag[i1] + u2 * this->_vReal[i1];
-					this->_vReal[i1] = this->_vReal[i] - t1;
-					this->_vImag[i1] = this->_vImag[i] - t2;
-					this->_vReal[i] += t1;
-					this->_vImag[i] += t2;
-				}
-				T z = ((u1 * c1) - (u2 * c2));
-				u2 = ((u1 * c2) + (u2 * c1));
-				u1 = z;
-			}
-#ifdef __AVR__
-			c2 = pgm_read_float_near(&(_c2[index]));
-			c1 = pgm_read_float_near(&(_c1[index]));
-			index++;
-#else
-			T cTemp = 0.5 * c1;
-			c2 = sqrt_internal(0.5 - cTemp);
-			c1 = sqrt_internal(0.5 + cTemp);
-#endif
-			c2 = dir == FFTDirection::Forward ? -c2 : c2;
-		}
-		// Scaling for reverse transform
-		if (dir != FFTDirection::Forward)
-		{
-			for (uint_fast16_t i = 0; i < this->_samples; i++)
-			{
-#ifdef FFT_SPEED_OVER_PRECISION
-				this->_vReal[i] *= _oneOverSamples;
-				this->_vImag[i] *= _oneOverSamples;
-#else
-				this->_vReal[i] /= this->_samples;
-				this->_vImag[i] /= this->_samples;
-#endif
-			}
-		}
-	}
-
-	void complexToMagnitude() const
-	{
-		// vM is half the size of vReal and vImag
-		for (uint_fast16_t i = 0; i < this->_samples; i++)
-		{
-			this->_vReal[i] = sqrt_internal(sq(this->_vReal[i]) + sq(this->_vImag[i]));
-		}
-	}
-
-	void dcRemoval() const
-	{
-		// calculate the mean of vData
-		T mean = 0;
-		for (uint_fast16_t i = 1; i < ((this->_samples >> 1) + 1); i++)
-		{
-			mean += this->_vReal[i];
-		}
-		mean /= this->_samples;
-		// Subtract the mean from vData
-		for (uint_fast16_t i = 1; i < ((this->_samples >> 1) + 1); i++)
-		{
-			this->_vReal[i] -= mean;
-		}
-	}
-
-	void windowing(FFTWindow windowType, FFTDirection dir, bool withCompensation = false)
-	{
-		// check if values are already pre-computed for the correct window type and compensation
-		if (_windowWeighingFactors && _weighingFactorsComputed &&
-			_weighingFactorsFFTWindow == windowType &&
-			_weighingFactorsWithCompensation == withCompensation)
-		{
-			// yes. values are precomputed
-			if (dir == FFTDirection::Forward)
-			{
-				for (uint_fast16_t i = 0; i < (this->_samples >> 1); i++)
-				{
-					this->_vReal[i] *= _windowWeighingFactors[i];
-					this->_vReal[this->_samples - (i + 1)] *= _windowWeighingFactors[i];
-				}
-			}
-			else
-			{
-				for (uint_fast16_t i = 0; i < (this->_samples >> 1); i++)
-				{
-#ifdef FFT_SPEED_OVER_PRECISION
-					// on many architectures reciprocals and multiplying are much faster than division
-					T oneOverFactor = 1.0 / _windowWeighingFactors[i];
-					this->_vReal[i] *= oneOverFactor;
-					this->_vReal[this->_samples - (i + 1)] *= oneOverFactor;
-#else
-					this->_vReal[i] /= _windowWeighingFactors[i];
-					this->_vReal[this->_samples - (i + 1)] /= _windowWeighingFactors[i];
-#endif
-				}
-			}
-		}
-		else
-		{
-			// no. values need to be pre-computed or applied
-			T samplesMinusOne = (T(this->_samples) - 1.0);
-			T compensationFactor = _WindowCompensationFactors[static_cast<uint_fast8_t>(windowType)];
-			for (uint_fast16_t i = 0; i < (this->_samples >> 1); i++)
-			{
-				T indexMinusOne = T(i);
-				T ratio = (indexMinusOne / samplesMinusOne);
-				T weighingFactor = 1.0;
-				// Compute and record weighting factor
-				switch (windowType)
-				{
-				case FFTWindow::Rectangle: // rectangle (box car)
-					weighingFactor = 1.0;
-					break;
-				case FFTWindow::Hamming: // hamming
-					weighingFactor = 0.54 - (0.46 * cos(TWO_PI * ratio));
-					break;
-				case FFTWindow::Hann: // hann
-					weighingFactor = 0.54 * (1.0 - cos(TWO_PI * ratio));
-					break;
-				case FFTWindow::Triangle: // triangle (Bartlett)
-					weighingFactor = 1.0 - ((2.0 * abs(indexMinusOne - (samplesMinusOne / 2.0))) / samplesMinusOne);
-					break;
-				case FFTWindow::Nuttall: // nuttall
-					weighingFactor = 0.355768 - (0.487396 * (cos(TWO_PI * ratio))) + (0.144232 * (cos(FOUR_PI * ratio))) - (0.012604 * (cos(SIX_PI * ratio)));
-					break;
-				case FFTWindow::Blackman: // blackman
-					weighingFactor = 0.42323 - (0.49755 * (cos(TWO_PI * ratio))) + (0.07922 * (cos(FOUR_PI * ratio)));
-					break;
-				case FFTWindow::Blackman_Nuttall: // blackman nuttall
-					weighingFactor = 0.3635819 - (0.4891775 * (cos(TWO_PI * ratio))) + (0.1365995 * (cos(FOUR_PI * ratio))) - (0.0106411 * (cos(SIX_PI * ratio)));
-					break;
-				case FFTWindow::Blackman_Harris: // blackman harris
-					weighingFactor = 0.35875 - (0.48829 * (cos(TWO_PI * ratio))) + (0.14128 * (cos(FOUR_PI * ratio))) - (0.01168 * (cos(SIX_PI * ratio)));
-					break;
-				case FFTWindow::Flat_top: // flat top
-					weighingFactor = 0.2810639 - (0.5208972 * cos(TWO_PI * ratio)) + (0.1980399 * cos(FOUR_PI * ratio));
-					break;
-				case FFTWindow::Welch: // welch
-					weighingFactor = 1.0 - sq((indexMinusOne - samplesMinusOne / 2.0) / (samplesMinusOne / 2.0));
-					break;
-				}
-				if (withCompensation)
-				{
-					weighingFactor *= compensationFactor;
-				}
-				if (_windowWeighingFactors)
-				{
-					_windowWeighingFactors[i] = weighingFactor;
-				}
-				if (dir == FFTDirection::Forward)
-				{
-					this->_vReal[i] *= weighingFactor;
-					this->_vReal[this->_samples - (i + 1)] *= weighingFactor;
-				}
-				else
-				{
-#ifdef FFT_SPEED_OVER_PRECISION
-					// on many architectures reciprocals and multiplying are much faster than division
-					T oneOverFactor = 1.0 / weighingFactor;
-					this->_vReal[i] *= oneOverFactor;
-					this->_vReal[this->_samples - (i + 1)] *= oneOverFactor;
-#else
-					this->_vReal[i] /= weighingFactor;
-					this->_vReal[this->_samples - (i + 1)] /= weighingFactor;
-#endif
-				}
-			}
-			// mark cached values as pre-computed
-			_weighingFactorsFFTWindow = windowType;
-			_weighingFactorsWithCompensation = withCompensation;
-			_weighingFactorsComputed = true;
-		}
-	}
-
-	T majorPeak() const
-	{
-		T maxY = 0;
-		uint_fast16_t IndexOfMaxY = 0;
-		//If sampling_frequency = 2 * max_frequency in signal,
-		//value would be stored at position samples/2
-		for (uint_fast16_t i = 1; i < ((this->_samples >> 1) + 1); i++)
-		{
-			if ((this->_vReal[i - 1] < this->_vReal[i]) && (this->_vReal[i] > this->_vReal[i + 1]))
-			{
-				if (this->_vReal[i] > maxY)
-				{
-					maxY = this->_vReal[i];
-					IndexOfMaxY = i;
-				}
-			}
-		}
-		T delta = 0.5 * ((this->_vReal[IndexOfMaxY - 1] - this->_vReal[IndexOfMaxY + 1]) / (this->_vReal[IndexOfMaxY - 1] - (2.0 * this->_vReal[IndexOfMaxY]) + this->_vReal[IndexOfMaxY + 1]));
-		T interpolatedX = ((IndexOfMaxY + delta) * this->_samplingFrequency) / (this->_samples - 1);
-		if (IndexOfMaxY == (this->_samples >> 1))
-		{
-			//To improve calculation on edge values
-			interpolatedX = ((IndexOfMaxY + delta) * this->_samplingFrequency) / (this->_samples);
-		}
-		// returned value: interpolated frequency peak apex
-		return interpolatedX;
-	}
-
-	void majorPeak(T &frequency, T &value) const
-	{
-		T maxY = 0;
-		uint_fast16_t IndexOfMaxY = 0;
-		//If sampling_frequency = 2 * max_frequency in signal,
-		//value would be stored at position samples/2
-		for (uint_fast16_t i = 1; i < ((this->_samples >> 1) + 1); i++)
-		{
-			if ((this->_vReal[i - 1] < this->_vReal[i]) && (this->_vReal[i] > this->_vReal[i + 1]))
-			{
-				if (this->_vReal[i] > maxY)
-				{
-					maxY = this->_vReal[i];
-					IndexOfMaxY = i;
-				}
-			}
-		}
-		T delta = 0.5 * ((this->_vReal[IndexOfMaxY - 1] - this->_vReal[IndexOfMaxY + 1]) / (this->_vReal[IndexOfMaxY - 1] - (2.0 * this->_vReal[IndexOfMaxY]) + this->_vReal[IndexOfMaxY + 1]));
-		T interpolatedX = ((IndexOfMaxY + delta) * this->_samplingFrequency) / (this->_samples - 1);
-		if (IndexOfMaxY == (this->_samples >> 1))
-		{
-			//To improve calculation on edge values
-			interpolatedX = ((IndexOfMaxY + delta) * this->_samplingFrequency) / (this->_samples);
-		}
-		// returned value: interpolated frequency peak apex
-		frequency = interpolatedX;
-		value = abs(this->_vReal[IndexOfMaxY - 1] - (2.0 * this->_vReal[IndexOfMaxY]) + this->_vReal[IndexOfMaxY + 1]);
-	}
-
-private:
-#ifdef __AVR__
-	static const float _c1[] PROGMEM;
-	static const float _c2[] PROGMEM;
-#endif
-	static const T _WindowCompensationFactors[10];
-
-	// Mathematial constants
-#ifndef TWO_PI
-	static constexpr T TWO_PI = 6.28318531; // might already be defined in Arduino.h
-#endif
-	static constexpr T FOUR_PI = 12.56637061;
-	static constexpr T SIX_PI = 18.84955593;
-
-	static inline void Swap(T &x, T &y)
-	{
-		T temp = x;
-		x = y;
-		y = temp;
-	}
-
-#ifdef FFT_SQRT_APPROXIMATION
-	// Fast inverse square root aka "Quake 3 fast inverse square root", multiplied by x.
-	// Uses one iteration of Halley's method for precision.
-	// See: https://en.wikipedia.org/wiki/Methods_of_computing_square_roots#Iterative_methods_for_reciprocal_square_roots
-	// And: https://github.com/HorstBaerbel/approx
-	template <typename V = T>
-	static inline V sqrt_internal(typename std::enable_if<std::is_same<V, float>::value, V>::type x)
-	{
-		union // get bits for float value
-		{
-			float x;
-			int32_t i;
-		} u;
-		u.x = x;
-		u.i = 0x5f375a86 - (u.i >> 1); // gives initial guess y0.
-		float xu = x * u.x;
-		float xu2 = xu * u.x;
-		u.x = (0.125 * 3.0) * xu * (5.0 - xu2 * ((10.0 / 3.0) - xu2)); // Halley's method, repeating increases accuracy
-		return u.x;
-	}
-
-	template <typename V = T>
-	static inline V sqrt_internal(typename std::enable_if<std::is_same<V, double>::value, V>::type x)
-	{
-		// According to HosrtBaerbel, on the ESP32 the approximation is not faster, so we use the standard function
-	#ifdef ESP32
-		return sqrt(x);
-	#else
-		union // get bits for float value
-		{
-			double x;
-			int64_t i;
-		} u;
-		u.x = x;
-		u.i = 0x5fe6ec85e7de30da - (u.i >> 1); // gives initial guess y0.
-		double xu = x * u.x;
-		double xu2 = xu * u.x;
-		u.x = (0.125 * 3.0) * xu * (5.0 - xu2 * ((10.0 / 3.0) - xu2)); // Halley's method, repeating increases accuracy
-		return u.x;
-	#endif
-	}
-#endif
-
-	/* Variables */
-	T *_vReal = nullptr;
-	T *_vImag = nullptr;
-	uint_fast16_t _samples = 0;
-#ifdef FFT_SPEED_OVER_PRECISION
-	T _oneOverSamples = 0.0;
-#endif
-	T _samplingFrequency = 0;
-	T *_windowWeighingFactors = nullptr;
-	FFTWindow _weighingFactorsFFTWindow;
-	bool _weighingFactorsWithCompensation = false;
-	bool _weighingFactorsComputed = false;
-	uint_fast8_t _power = 0;
-};
-
-#ifdef __AVR__
-template <typename T>
-const float ArduinoFFT<T>::_c1[] PROGMEM = {
-	0.0000000000, 0.7071067812, 0.9238795325, 0.9807852804,
-	0.9951847267, 0.9987954562, 0.9996988187, 0.9999247018,
-	0.9999811753, 0.9999952938, 0.9999988235, 0.9999997059,
-	0.9999999265, 0.9999999816, 0.9999999954, 0.9999999989,
-	0.9999999997};
-
-template <typename T>
-const float ArduinoFFT<T>::_c2[] PROGMEM = {
-	1.0000000000, 0.7071067812, 0.3826834324, 0.1950903220,
-	0.0980171403, 0.0490676743, 0.0245412285, 0.0122715383,
-	0.0061358846, 0.0030679568, 0.0015339802, 0.0007669903,
-	0.0003834952, 0.0001917476, 0.0000958738, 0.0000479369,
-	0.0000239684};
-#endif
-
-template <typename T>
-const T ArduinoFFT<T>::_WindowCompensationFactors[10] = {
-	1.0000000000 * 2.0, // rectangle (Box car)
-	1.8549343278 * 2.0, // hamming
-	1.8554726898 * 2.0, // hann
-	2.0039186079 * 2.0, // triangle (Bartlett)
-	2.8163172034 * 2.0, // nuttall
-	2.3673474360 * 2.0, // blackman
-	2.7557840395 * 2.0, // blackman nuttall
-	2.7929062517 * 2.0, // blackman harris
-	3.5659039231 * 2.0, // flat top
-	1.5029392863 * 2.0	// welch
-};
-
-#endif




diff --git a/src/libs/arduinoFFT-develop/src/defs.h b/src/libs/arduinoFFT-develop/src/defs.h
deleted file mode 100644
index 2422b243b979ea95a9b150f15f73e1a12bff4d69..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/src/defs.h
+++ /dev/null
@@ -1,90 +0,0 @@
-/*! \file avrlibdefs.h \brief AVRlib global defines and macros. */
-//*****************************************************************************
-//
-// File Name	: 'avrlibdefs.h'
-// Title		: AVRlib global defines and macros include file
-// Author		: Pascal Stang
-// Created		: 7/12/2001
-// Revised		: 9/30/2002
-// Version		: 1.1
-// Target MCU	: Atmel AVR series
-// Editor Tabs	: 4
-//
-//	Description : This include file is designed to contain items useful to all
-//					code files and projects, regardless of specific implementation.
-//
-// This code is distributed under the GNU Public License
-//		which can be found at http://www.gnu.org/licenses/gpl.txt
-//
-//*****************************************************************************
-
-
-#ifndef AVRLIBDEFS_H
-#define AVRLIBDEFS_H
-
-//#define F_CPU 4000000
-#define MEM_TYPE 1
-
-// Code compatibility to new AVR-libc
-// outb(), inb(), inw(), outw(), BV(), sbi(), cbi(), sei(), cli()
-#ifndef outb
-	#define	outb(addr, data)	addr = (data)
-#endif
-#ifndef inb
-	#define	inb(addr)			(addr)
-#endif
-#ifndef outw
-	#define	outw(addr, data)	addr = (data)
-#endif
-#ifndef inw
-	#define	inw(addr)			(addr)
-#endif
-#ifndef BV
-	#define BV(bit)			(1<<(bit))
-#endif
-//#ifndef cbi
-//	#define cbi(reg,bit)	reg &= ~(BV(bit))
-//#endif
-//#ifndef sbi
-//	#define sbi(reg,bit)	reg |= (BV(bit))
-//#endif
-#ifndef cli
-	#define cli()			__asm__ __volatile__ ("cli" ::)
-#endif
-#ifndef sei
-	#define sei()			__asm__ __volatile__ ("sei" ::)
-#endif
-
-// support for individual port pin naming in the mega128
-// see port128.h for details
-#ifdef __AVR_ATmega128__
-// not currently necessary due to inclusion
-// of these defines in newest AVR-GCC
-// do a quick test to see if include is needed
-#ifndef PD0
-	//#include "port128.h"
-#endif
-#endif
-
-// use this for packed structures
-// (this is seldom necessary on an 8-bit architecture like AVR,
-//  but can assist in code portability to AVR)
-#define GNUC_PACKED __attribute__((packed)) 
-
-// port address helpers
-#define DDR(x) ((x)-1)    // address of data direction register of port x
-#define PIN(x) ((x)-2)    // address of input register of port x
-
-// MIN/MAX/ABS macros
-#define MIN(a,b)			((a<b)?(a):(b))
-#define MAX(a,b)			((a>b)?(a):(b))
-#define ABS(x)				((x>0)?(x):(-x))
-
-// constants
-#define PI		3.14159265359
-
-//Math
-#define sq(x) ((x)*(x))
-#define constrain(amt,low,high) ((amt)<(low)?(low):((amt)>(high)?(high):(amt)))
-
-#endif




diff --git a/src/libs/arduinoFFT-develop/src/types.h b/src/libs/arduinoFFT-develop/src/types.h
deleted file mode 100644
index 6cd7d8540f2a08e5ff172617f31cb49e6b9b7c90..0000000000000000000000000000000000000000
--- a/src/libs/arduinoFFT-develop/src/types.h
+++ /dev/null
@@ -1,69 +0,0 @@
-//useful things to include in code
-
-#ifndef TYPES_H
-#define TYPES_H
-
-#ifndef WIN32
-	// true/false defines
-	#define FALSE	0
-	#define TRUE	-1
-#endif
-
-// datatype definitions macros
-typedef unsigned char  u08;
-typedef   signed char  s08;
-typedef unsigned short u16;
-typedef   signed short s16;
-typedef unsigned long  u32;
-typedef   signed long  s32;
-typedef unsigned long long u64;
-typedef   signed long long s64;
-
-// #ifndef __AVR__
-#ifdef __MBED__
-	// use inttypes.h instead
-	// C99 standard integer type definitions
-	typedef unsigned char	uint8_t;
-	typedef   signed char	int8_t;
-	typedef unsigned short	uint16_t;
-	typedef   signed short	int16_t;
-	/*typedef unsigned long	uint32_t;
-	typedef   signed long	int32_t;
-	typedef unsigned long	uint64_t;
-	typedef   signed long	int64_t;
-	*/
-#endif
-
-// maximum value that can be held
-// by unsigned data types (8,16,32bits)
-#define MAX_U08	255
-#define MAX_U16	65535
-#define MAX_U32	4294967295
-
-// maximum values that can be held
-// by signed data types (8,16,32bits)
-#define MIN_S08	-128
-#define MAX_S08	127
-#define MIN_S16	-32768
-#define MAX_S16	32767
-#define MIN_S32	-2147483648
-#define MAX_S32	2147483647
-
-#ifndef WIN32
-	// more type redefinitions
-	typedef unsigned char   BOOL;
-	typedef unsigned char	BYTE;
-	typedef unsigned int	WORD;
-	typedef unsigned long	DWORD;
-
-	typedef unsigned char	UCHAR;
-	typedef unsigned int	UINT;
-	typedef unsigned short  USHORT;
-	typedef unsigned long	ULONG;
-
-	typedef char			CHAR;
-	typedef int				INT;
-	typedef long			LONG;
-#endif
-
-#endif