Quality software development examples can be hard to come by. Sure, it’s easy to pop over to Google and find a <code> block with all the right keywords, but having everything correctly explained can be hit or miss. And the more niche the subject, the thinner the forum posts get. Bucking the downward trend [HansLuijten] provides an astoundingly thorough set of LED strip patterns in his comprehensive post titled Arduino LED strip effects.

Don’t let the unassuming title lead you astray from the content, because what’s on offer goes beyond your average beginner tutorial on how to setup a strand of NeoPixels. [HansLuijten] is thorough to a fault; providing examples for everything from simple single color fades and classic Cylon eyes to effects that look like meteors falling from the sky. Seriously! Check out the video after the break. Those chasing lights you see around theater signs? Check. Color twinkle and sparkle? Check. Color wipes and rainbow fades? Check, and check.

At this point, an average forum post would be a jumbled mess of source which only works on an authentic Arduino Duemilanove running at 3.3v sitting on top of the 2nd printing of the author’s favorite issue of Make. But not here! These samples work with Adafruit’s easy to use NeoPixel library as well as FastLED, the quickest pixel in the West. On top of that the examples are clear and concise and explanation is plentiful. But the best part is definitely that each effect has a video clearly showing what it looks like.

If only everything were this easy to use, the open source revolution would already be here.

Introduction

This is the second of three articles that will examine the LM391x series of LED driver ICs. The first covered the LM3914, this will cover the LM3915 and the LM3916 will follow. The goal of these is to have you using the parts in a small amount of time and experiment with your driver ICs, from which point you can research further into their theory and application.

Although these parts have been around for many years, the LM3915 isn’t used that much however for the sake of completeness we’re writing the tutorial. The LM3915 offers a simple way to display a logarithmic voltage level using one or more groups of ten LEDs with a minimum of fuss. If you’re wanting to make a VU meter, you should use the LM3916 which we will cover in the final instalment of this trilogy.

Instead of having each LED represent a voltage level as with the LM3914, each LED connected to the LM3915 represents a 3 dB (decibel) change in the power level of the signal. For more on decibels, check out Wikipedia.

To display these power level changes we’ll run through a couple of examples that you can use in your own projects and hopefully give you some ideas for the future. Originally by National Semiconductor, the LM391X series is now handled by Texas Instruments.

Getting Started

You will need the LM3915 data sheet, so please download that and keep it as a reference. First – back to basics. The LM3915 controls ten LEDs. It controls the current through the LEDs with the use of only one resistor, and the LEDs can appear in a bar graph or single ‘dot’ when in use. The LM3915 contains a ten-stage voltage divider, each stage when reached will illuminate the matching LED (and those below it in level meter mode).

Let’s consider the most basic of examples (from page two of the data sheet) – a simple logarithmic display of voltage between 0 and 10V:

After building the circuit you can connect a signal to measure via pin 5, and the GND to pin 2. We’ve built the circuit exactly as above on some stripboard for demonstration purposes, with the only difference being the use of an 8.2kΩ resistor for R2:

To show this in action we use a signal of varying AC voltage – a sine wave at around 2 kHz. In the following video, you can see the comparison of the signal’s voltage against the LEDs being illuminated, and you will see the logarithmic voltage increase represented by the LEDs:

We used the bar display mode for the voltage increase, and the dot display mode for the voltage decrease. Did you notice that during the voltage decrease, the LEDs below the maximum level being displayed were dim? As the signal’s voltage was varying very quickly, the change in the LED’s location is a blur due to the speed of change. In the video below, we’ve slowed the frequency right down but kept the same maximum voltage.

Well that was a lot of fun, and gives you an idea of what is possible with the LM3915.

Displaying weaker signals

In non-theoretical situations your input signal won’t conveniently be between 0 and 10 V. For example the line level on audio equipment can vary between 1 and 3V peak to peak. For example, here’s a random DSO image from measuring the headphone output on my computer whilst playing some typical music:

Although it’s an AC signal we’ll treat it as DC for simplicity. So to display this random low DC voltage signal we’ll reduce the range of the display to 0~3V DC. This is done using  the same method as with the LM3914 – with maths and different resistors.

Consider the following formulae:

As you can see the LED current (Iled) is simple, however we’ll need to solve for R1 and R2 with the first formula to get our required Vref of 3V. For our example circuit I use 2.2kΩ for R2 which gives a value of 1.8kΩ for R1. However putting those values in the ILED formula gives a pretty low current for the LEDs, about 8.3 mA. Live and learn – so spend time experimenting with values so you can match the required Vref and ILED.

Nevertheless in this video below we have the Vref of 3V and some music in from the computer as a sample source of low-voltage DC. This is not a VU meter! Wait for the LM3916 article to do that.

Again due to the rapid rate of change of the voltage, there is the blue between the maximum level at the time and 0V.

Chaining multiple LM3915s

This is covered well in the data sheet, so read it for more on using two LM3915s. Plus there are some great example circuits in the data sheet, for example the 100W audio power meter on page 26 and the vibration meter (using a piezo) on page 18.

Conclusion

As always I hope you found this useful. Don’t forget to stay tuned for the final instalment about the LM3916. And if you made it this far – check out my new book “Arduino Workshop” from No Starch Press.

In the meanwhile have fun and keep checking into tronixstuff.com. Why not follow things on twitter, Google+, subscribe  for email updates or RSS using the links on the right-hand column? And join our friendly Google Group – dedicated to the projects and related items on this website. Sign up – it’s free, helpful to each other –  and we can all learn something.

Introduction

This is the second of three articles that will examine the LM391x series of LED driver ICs. The first covered the LM3914, this will cover the LM3915 and the LM3916 will follow. The goal of these is to have you using the parts in a small amount of time and experiment with your driver ICs, from which point you can research further into their theory and application.

Although these parts have been around for many years, the LM3915 isn’t used that much however for the sake of completeness we’re writing the tutorial. The LM3915 offers a simple way to display a logarithmic voltage level using one or more groups of ten LEDs with a minimum of fuss. If you’re wanting to make a VU meter, you should use the LM3916 which we will cover in the final instalment of this trilogy.

Instead of having each LED represent a voltage level as with the LM3914, each LED connected to the LM3915 represents a 3 dB (decibel) change in the power level of the signal. For more on decibels, check out Wikipedia.

To display these power level changes we’ll run through a couple of examples that you can use in your own projects and hopefully give you some ideas for the future. Originally by National Semiconductor, the LM391X series is now handled by Texas Instruments.

Getting Started

You will need the LM3915 data sheet, so please download that and keep it as a reference. First – back to basics. The LM3915 controls ten LEDs. It controls the current through the LEDs with the use of only one resistor, and the LEDs can appear in a bar graph or single ‘dot’ when in use. The LM3915 contains a ten-stage voltage divider, each stage when reached will illuminate the matching LED (and those below it in level meter mode).

Let’s consider the most basic of examples (from page two of the data sheet) – a simple logarithmic display of voltage between 0 and 10V:

After building the circuit you can connect a signal to measure via pin 5, and the GND to pin 2. We’ve built the circuit exactly as above on some stripboard for demonstration purposes, with the only difference being the use of an 8.2kΩ resistor for R2:

To show this in action we use a signal of varying AC voltage – a sine wave at around 2 kHz. In the following video, you can see the comparison of the signal’s voltage against the LEDs being illuminated, and you will see the logarithmic voltage increase represented by the LEDs:

We used the bar display mode for the voltage increase, and the dot display mode for the voltage decrease. Did you notice that during the voltage decrease, the LEDs below the maximum level being displayed were dim? As the signal’s voltage was varying very quickly, the change in the LED’s location is a blur due to the speed of change. In the video below, we’ve slowed the frequency right down but kept the same maximum voltage.

Well that was a lot of fun, and gives you an idea of what is possible with the LM3915.

Displaying weaker signals

In non-theoretical situations your input signal won’t conveniently be between 0 and 10 V. For example the line level on audio equipment can vary between 1 and 3V peak to peak. For example, here’s a random DSO image from measuring the headphone output on my computer whilst playing some typical music:

Although it’s an AC signal we’ll treat it as DC for simplicity. So to display this random low DC voltage signal we’ll reduce the range of the display to 0~3V DC. This is done using  the same method as with the LM3914 – with maths and different resistors.

Consider the following formulae:

As you can see the LED current (Iled) is simple, however we’ll need to solve for R1 and R2 with the first formula to get our required Vref of 3V. For our example circuit I use 2.2kΩ for R2 which gives a value of 1.8kΩ for R1. However putting those values in the ILED formula gives a pretty low current for the LEDs, about 8.3 mA. Live and learn – so spend time experimenting with values so you can match the required Vref and ILED.

Nevertheless in this video below we have the Vref of 3V and some music in from the computer as a sample source of low-voltage DC. This is not a VU meter! Wait for the LM3916 article to do that.

Again due to the rapid rate of change of the voltage, there is the blue between the maximum level at the time and 0V.

Chaining multiple LM3915s

This is covered well in the data sheet, so read it for more on using two LM3915s. Plus there are some great example circuits in the data sheet, for example the 100W audio power meter on page 26 and the vibration meter (using a piezo) on page 18.

Conclusion

As always I hope you found this useful. Don’t forget to stay tuned for the final instalment about the LM3916. And if you made it this far – check out my new book “Arduino Workshop” from No Starch Press.

In the meanwhile have fun and keep checking into tronixstuff.com. Why not follow things on twitter, Google+, subscribe  for email updates or RSS using the links on the right-hand column? And join our friendly Google Group – dedicated to the projects and related items on this website. Sign up – it’s free, helpful to each other –  and we can all learn something.

The post Tutorial – LM3915 Logarithmic Dot/Bar Display Driver IC appeared first on tronixstuff.

Use the Maxim MAX7219 LED display driver with Arduino in Chapter 56 of our Arduino Tutorials. The first chapter is here, the complete series is detailed here.

Update – 4/1/15 – This article is pending a re-write, please refrain from comments and questions until the new version is published. 

Introduction

Sooner or later Arduino enthusiasts and beginners alike will come across the MAX7219 IC. And for good reason, it’s a simple and somewhat inexpensive method of controlling 64 LEDs in either matrix or numeric display form. Furthermore they can be chained together to control two or more units for even more LEDs. Overall – they’re a lot of fun and can also be quite useful, so let’s get started.

Here’s an example of a MAX7219 and another IC which is a functional equivalent, the AS1107 from Austria Microsystems. You might not see the AS1107 around much, but it can be cheaper – so don’t be afraid to use that instead:

When shopping for MAX7219s you may notice the wild price fluctuations between various sellers. We’ve researched that and have a separate article for your consideration.

 At first glance you may think that it takes a lot of real estate, but it saves some as well. As mentioned earlier, the MAX7219 can completely control 64 individual LEDs – including maintaining equal brightness, and allowing you to adjust the brightness of the LEDs either with hardware or software (or both). It can refresh the LEDs at around 800 Hz, so no more flickering, uneven LED displays.

You can even switch the display off for power saving mode, and still send it data while it is off. And another good thing – when powered up, it keeps the LEDs off, so no wacky displays for the first seconds of operation. For more technical information, here is the data sheet: MAX7219.pdf. Now to put it to work for us – we’ll demonstrate using one or more 8 x 8 LED matrix displays, as well as 8 digits of 7-segment LED numbers.

Before continuing, download and install the LedControl Arduino library as it is essential for using the MAX7219.

Controlling LED matrix displays with the MAX7219

First of all, let’s examine the hardware side of things. Here is the pinout diagram for the MAX7219:

The MAX7219 drives eight LEDs at a time, and by rapidly switching banks of eight your eyes don’t see the changes. Wiring up a matrix is very simple – if you have a common matrix with the following schematic:

connect the MAX7219 pins labelled DP, A~F to the row pins respectively, and the MAX7219 pins labelled DIG0~7 to the column pins respectively. A total example circuit with the above matrix  is as follows:

The circuit is quite straight forward, except we have a resistor between 5V and MAX7219 pin 18. The MAX7219 is a constant-current LED driver, and the value of the resistor is used to set the current flow to the LEDs. Have a look at table eleven on page eleven of the data sheet:

You’ll need to know the voltage and forward current for your LED matrix or numeric display, then match the value on the table. E.g. if you have a 2V 20 mA LED, your resistor value will be 28kΩ (the values are in kΩ). Finally, the MAX7219 serial in, load and clock pins will go to Arduino digital pins which are specified in the sketch. We’ll get to that in the moment, but before that let’s return to the matrix modules.

In the last few months there has been a proliferation of inexpensive kits that contain a MAX7219 or equivalent, and an LED matrix. These are great for experimenting with and can save you a lot of work – some examples of which are shown below:

At the top is an example from ebay, and the pair on the bottom are the units from a recent kit review. We’ll use these for our demonstrations as well.

Now for the sketch. You need the following two lines at the beginning of the sketch:

#include "LedControl.h" 
LedControl lc=LedControl(12,11,10,1);

The first pulls in the library, and the second line sets up an instance to control. The four parameters are as follows:

1. the digital pin connected to pin 1 of the MAX7219 (“data in”)
2. the digital pin connected to pin 13 of the MAX7219 (“CLK or clock”)
3. the digital pin connected to pin 12 of the MAX7219 (“LOAD”)
4. The number of MAX7219s connected.

If you have more than one MAX7219, connect the DOUT (“data out”) pin of the first MAX7219 to pin 1 of the second, and so on. However the CLK and LOAD pins are all connected in parallel and then back to the Arduino.

Next, two more vital functions that you’d normally put in void setup():

lc.shutdown(0,false);
lc.setIntensity(0,8);

The first line above turns the LEDs connected to the MAX7219 on. If you set TRUE, you can send data to the MAX7219 but the LEDs will stay off. The second line adjusts the brightness of the LEDs in sixteen stages. For both of those functions (and all others from the LedControl) the first parameter is the number of the MAX7219 connected. If you have one, the parameter is zero… for two MAX7219s, it’s 1 and so on.

Finally, to turn an individual LED in the matrix on or off, use:

lc.setLed(0,col,row,true);

which turns on an LED positioned at col, row connected to MAX7219 #1. Change TRUE to FALSE to turn it off. These functions are demonstrated in the following sketch:

#include "LedControl.h" //  need the library
LedControl lc=LedControl(12,11,10,1); // 

// pin 12 is connected to the MAX7219 pin 1
// pin 11 is connected to the CLK pin 13
// pin 10 is connected to LOAD pin 12
// 1 as we are only using 1 MAX7219

void setup()
{
  // the zero refers to the MAX7219 number, it is zero for 1 chip
  lc.shutdown(0,false);// turn off power saving, enables display
  lc.setIntensity(0,8);// sets brightness (0~15 possible values)
  lc.clearDisplay(0);// clear screen
}
void loop()
{
  for (int row=0; row<8; row++)
  {
    for (int col=0; col<8; col++)
    {
      lc.setLed(0,col,row,true); // turns on LED at col, row
      delay(25);
    }
  }

  for (int row=0; row<8; row++)
  {
    for (int col=0; col<8; col++)
    {
      lc.setLed(0,col,row,false); // turns off LED at col, row
      delay(25);
    }
  }
}

And a quick video of the results:

How about controlling two MAX7219s? Or more? The hardware modifications are easy – connect the serial data out pin from your first MAX7219 to the data in pin on the second (and so on), and the LOAD and CLOCK pins from the first MAX7219 connect to the second (and so on). You will of course still need the 5V, GND, resistor, capacitors etc. for the second and subsequent MAX7219.

You will also need to make a few changes in your sketch. The first is to tell it how many MAX7219s you’re using in the following line:

LedControl lc=LedControl(12,11,10,X);

by replacing X with the quantity. Then whenever you’re using  a MAX7219 function, replace the (previously used) zero with the number of the MAX7219 you wish to address. They are numbered from zero upwards, with the MAX7219 directly connected to the Arduino as unit zero, then one etc. To demonstrate this, we replicate the previous example but with two MAX7219s:

#include "LedControl.h" //  need the library
LedControl lc=LedControl(12,11,10,2); // 

// pin 12 is connected to the MAX7219 pin 1
// pin 11 is connected to the CLK pin 13
// pin 10 is connected to LOAD pin 12
// 1 as we are only using 1 MAX7219

void setup()
{
  lc.shutdown(0,false);// turn off power saving, enables display
  lc.setIntensity(0,8);// sets brightness (0~15 possible values)
  lc.clearDisplay(0);// clear screen

  lc.shutdown(1,false);// turn off power saving, enables display
  lc.setIntensity(1,8);// sets brightness (0~15 possible values)
  lc.clearDisplay(1);// clear screen
}

void loop()
{
  for (int row=0; row<8; row++)
  {
    for (int col=0; col<8; col++)
    {
      lc.setLed(0,col,row,true); // turns on LED at col, row
      lc.setLed(1,col,row,false); // turns on LED at col, row
      delay(25);
    }
  }

  for (int row=0; row<8; row++)
  {
    for (int col=0; col<8; col++)
    {
      lc.setLed(0,col,row,false); // turns off LED at col, row
      lc.setLed(1,col,row,true); // turns on LED at col, row      
      delay(25);
    }
  }
}

And again, a quick demonstration:

Another fun use of the MAX7219 and LED matrices is to display scrolling text. For the case of simplicity we’ll use the LedControl library and the two LED matrix modules from the previous examples.

First our example sketch – it is quite long however most of this is due to defining the characters for each letter of the alphabet and so on. We’ll explain it at the other end!

// based on an orginal sketch by Arduino forum member "danigom"
// http://forum.arduino.cc/index.php?action=profile;u=188950

#include <avr/pgmspace.h>
#include <LedControl.h>

const int numDevices = 2;      // number of MAX7219s used
const long scrollDelay = 75;   // adjust scrolling speed

unsigned long bufferLong [14] = {0}; 

LedControl lc=LedControl(12,11,10,numDevices);

prog_uchar scrollText[] PROGMEM ={
    "  THE QUICK BROWN FOX JUMPED OVER THE LAZY DOG 1234567890 the quick brown fox jumped over the lazy dog   \0"};

void setup(){
    for (int x=0; x<numDevices; x++){
        lc.shutdown(x,false);       //The MAX72XX is in power-saving mode on startup
        lc.setIntensity(x,8);       // Set the brightness to default value
        lc.clearDisplay(x);         // and clear the display
    }
}

void loop(){ 
    scrollMessage(scrollText);
    scrollFont();
}

///////////////////////////////////////////////////////////////////////////////////////////////////////////////////

prog_uchar font5x7 [] PROGMEM = {      //Numeric Font Matrix (Arranged as 7x font data + 1x kerning data)
    B00000000,	//Space (Char 0x20)
    B00000000,
    B00000000,
    B00000000,
    B00000000,
    B00000000,
    B00000000,
    6,

    B10000000,	//!
    B10000000,
    B10000000,
    B10000000,
    B00000000,
    B00000000,
    B10000000,
    2,

    B10100000,	//"
    B10100000,
    B10100000,
    B00000000,
    B00000000,
    B00000000,
    B00000000,
    4,

    B01010000,	//#
    B01010000,
    B11111000,
    B01010000,
    B11111000,
    B01010000,
    B01010000,
    6,

    B00100000,	//$
    B01111000,
    B10100000,
    B01110000,
    B00101000,
    B11110000,
    B00100000,
    6,

    B11000000,	//%
    B11001000,
    B00010000,
    B00100000,
    B01000000,
    B10011000,
    B00011000,
    6,

    B01100000,	//&
    B10010000,
    B10100000,
    B01000000,
    B10101000,
    B10010000,
    B01101000,
    6,

    B11000000,	//'
    B01000000,
    B10000000,
    B00000000,
    B00000000,
    B00000000,
    B00000000,
    3,

    B00100000,	//(
    B01000000,
    B10000000,
    B10000000,
    B10000000,
    B01000000,
    B00100000,
    4,

    B10000000,	//)
    B01000000,
    B00100000,
    B00100000,
    B00100000,
    B01000000,
    B10000000,
    4,

    B00000000,	//*
    B00100000,
    B10101000,
    B01110000,
    B10101000,
    B00100000,
    B00000000,
    6,

    B00000000,	//+
    B00100000,
    B00100000,
    B11111000,
    B00100000,
    B00100000,
    B00000000,
    6,

    B00000000,	//,
    B00000000,
    B00000000,
    B00000000,
    B11000000,
    B01000000,
    B10000000,
    3,

    B00000000,	//-
    B00000000,
    B11111000,
    B00000000,
    B00000000,
    B00000000,
    B00000000,
    6,

    B00000000,	//.
    B00000000,
    B00000000,
    B00000000,
    B00000000,
    B11000000,
    B11000000,
    3,

    B00000000,	///
    B00001000,
    B00010000,
    B00100000,
    B01000000,
    B10000000,
    B00000000,
    6,

    B01110000,	//0
    B10001000,
    B10011000,
    B10101000,
    B11001000,
    B10001000,
    B01110000,
    6,

    B01000000,	//1
    B11000000,
    B01000000,
    B01000000,
    B01000000,
    B01000000,
    B11100000,
    4,

    B01110000,	//2
    B10001000,
    B00001000,
    B00010000,
    B00100000,
    B01000000,
    B11111000,
    6,

    B11111000,	//3
    B00010000,
    B00100000,
    B00010000,
    B00001000,
    B10001000,
    B01110000,
    6,

    B00010000,	//4
    B00110000,
    B01010000,
    B10010000,
    B11111000,
    B00010000,
    B00010000,
    6,

    B11111000,	//5
    B10000000,
    B11110000,
    B00001000,
    B00001000,
    B10001000,
    B01110000,
    6,

    B00110000,	//6
    B01000000,
    B10000000,
    B11110000,
    B10001000,
    B10001000,
    B01110000,
    6,

    B11111000,	//7
    B10001000,
    B00001000,
    B00010000,
    B00100000,
    B00100000,
    B00100000,
    6,

    B01110000,	//8
    B10001000,
    B10001000,
    B01110000,
    B10001000,
    B10001000,
    B01110000,
    6,

    B01110000,	//9
    B10001000,
    B10001000,
    B01111000,
    B00001000,
    B00010000,
    B01100000,
    6,

    B00000000,	//:
    B11000000,
    B11000000,
    B00000000,
    B11000000,
    B11000000,
    B00000000,
    3,

    B00000000,	//;
    B11000000,
    B11000000,
    B00000000,
    B11000000,
    B01000000,
    B10000000,
    3,

    B00010000,	//<
    B00100000,
    B01000000,
    B10000000,
    B01000000,
    B00100000,
    B00010000,
    5,

    B00000000,	//=
    B00000000,
    B11111000,
    B00000000,
    B11111000,
    B00000000,
    B00000000,
    6,

    B10000000,	//>
    B01000000,
    B00100000,
    B00010000,
    B00100000,
    B01000000,
    B10000000,
    5,

    B01110000,	//?
    B10001000,
    B00001000,
    B00010000,
    B00100000,
    B00000000,
    B00100000,
    6,

    B01110000,	//@
    B10001000,
    B00001000,
    B01101000,
    B10101000,
    B10101000,
    B01110000,
    6,

    B01110000,	//A
    B10001000,
    B10001000,
    B10001000,
    B11111000,
    B10001000,
    B10001000,
    6,

    B11110000,	//B
    B10001000,
    B10001000,
    B11110000,
    B10001000,
    B10001000,
    B11110000,
    6,

    B01110000,	//C
    B10001000,
    B10000000,
    B10000000,
    B10000000,
    B10001000,
    B01110000,
    6,

    B11100000,	//D
    B10010000,
    B10001000,
    B10001000,
    B10001000,
    B10010000,
    B11100000,
    6,

    B11111000,	//E
    B10000000,
    B10000000,
    B11110000,
    B10000000,
    B10000000,
    B11111000,
    6,

    B11111000,	//F
    B10000000,
    B10000000,
    B11110000,
    B10000000,
    B10000000,
    B10000000,
    6,

    B01110000,	//G
    B10001000,
    B10000000,
    B10111000,
    B10001000,
    B10001000,
    B01111000,
    6,

    B10001000,	//H
    B10001000,
    B10001000,
    B11111000,
    B10001000,
    B10001000,
    B10001000,
    6,

    B11100000,	//I
    B01000000,
    B01000000,
    B01000000,
    B01000000,
    B01000000,
    B11100000,
    4,

    B00111000,	//J
    B00010000,
    B00010000,
    B00010000,
    B00010000,
    B10010000,
    B01100000,
    6,

    B10001000,	//K
    B10010000,
    B10100000,
    B11000000,
    B10100000,
    B10010000,
    B10001000,
    6,

    B10000000,	//L
    B10000000,
    B10000000,
    B10000000,
    B10000000,
    B10000000,
    B11111000,
    6,

    B10001000,	//M
    B11011000,
    B10101000,
    B10101000,
    B10001000,
    B10001000,
    B10001000,
    6,

    B10001000,	//N
    B10001000,
    B11001000,
    B10101000,
    B10011000,
    B10001000,
    B10001000,
    6,

    B01110000,	//O
    B10001000,
    B10001000,
    B10001000,
    B10001000,
    B10001000,
    B01110000,
    6,

    B11110000,	//P
    B10001000,
    B10001000,
    B11110000,
    B10000000,
    B10000000,
    B10000000,
    6,

    B01110000,	//Q
    B10001000,
    B10001000,
    B10001000,
    B10101000,
    B10010000,
    B01101000,
    6,

    B11110000,	//R
    B10001000,
    B10001000,
    B11110000,
    B10100000,
    B10010000,
    B10001000,
    6,

    B01111000,	//S
    B10000000,
    B10000000,
    B01110000,
    B00001000,
    B00001000,
    B11110000,
    6,

    B11111000,	//T
    B00100000,
    B00100000,
    B00100000,
    B00100000,
    B00100000,
    B00100000,
    6,

    B10001000,	//U
    B10001000,
    B10001000,
    B10001000,
    B10001000,
    B10001000,
    B01110000,
    6,

    B10001000,	//V
    B10001000,
    B10001000,
    B10001000,
    B10001000,
    B01010000,
    B00100000,
    6,

    B10001000,	//W
    B10001000,
    B10001000,
    B10101000,
    B10101000,
    B10101000,
    B01010000,
    6,

    B10001000,	//X
    B10001000,
    B01010000,
    B00100000,
    B01010000,
    B10001000,
    B10001000,
    6,

    B10001000,	//Y
    B10001000,
    B10001000,
    B01010000,
    B00100000,
    B00100000,
    B00100000,
    6,

    B11111000,	//Z
    B00001000,
    B00010000,
    B00100000,
    B01000000,
    B10000000,
    B11111000,
    6,

    B11100000,	//[
    B10000000,
    B10000000,
    B10000000,
    B10000000,
    B10000000,
    B11100000,
    4,

    B00000000,	//(Backward Slash)
    B10000000,
    B01000000,
    B00100000,
    B00010000,
    B00001000,
    B00000000,
    6,

    B11100000,	//]
    B00100000,
    B00100000,
    B00100000,
    B00100000,
    B00100000,
    B11100000,
    4,

    B00100000,	//^
    B01010000,
    B10001000,
    B00000000,
    B00000000,
    B00000000,
    B00000000,
    6,

    B00000000,	//_
    B00000000,
    B00000000,
    B00000000,
    B00000000,
    B00000000,
    B11111000,
    6,

    B10000000,	//`
    B01000000,
    B00100000,
    B00000000,
    B00000000,
    B00000000,
    B00000000,
    4,

    B00000000,	//a
    B00000000,
    B01110000,
    B00001000,
    B01111000,
    B10001000,
    B01111000,
    6,

    B10000000,	//b
    B10000000,
    B10110000,
    B11001000,
    B10001000,
    B10001000,
    B11110000,
    6,

    B00000000,	//c
    B00000000,
    B01110000,
    B10001000,
    B10000000,
    B10001000,
    B01110000,
    6,

    B00001000,	//d
    B00001000,
    B01101000,
    B10011000,
    B10001000,
    B10001000,
    B01111000,
    6,

    B00000000,	//e
    B00000000,
    B01110000,
    B10001000,
    B11111000,
    B10000000,
    B01110000,
    6,

    B00110000,	//f
    B01001000,
    B01000000,
    B11100000,
    B01000000,
    B01000000,
    B01000000,
    6,

    B00000000,	//g
    B01111000,
    B10001000,
    B10001000,
    B01111000,
    B00001000,
    B01110000,
    6,

    B10000000,	//h
    B10000000,
    B10110000,
    B11001000,
    B10001000,
    B10001000,
    B10001000,
    6,

    B01000000,	//i
    B00000000,
    B11000000,
    B01000000,
    B01000000,
    B01000000,
    B11100000,
    4,

    B00010000,	//j
    B00000000,
    B00110000,
    B00010000,
    B00010000,
    B10010000,
    B01100000,
    5,

    B10000000,	//k
    B10000000,
    B10010000,
    B10100000,
    B11000000,
    B10100000,
    B10010000,
    5,

    B11000000,	//l
    B01000000,
    B01000000,
    B01000000,
    B01000000,
    B01000000,
    B11100000,
    4,

    B00000000,	//m
    B00000000,
    B11010000,
    B10101000,
    B10101000,
    B10001000,
    B10001000,
    6,

    B00000000,	//n
    B00000000,
    B10110000,
    B11001000,
    B10001000,
    B10001000,
    B10001000,
    6,

    B00000000,	//o
    B00000000,
    B01110000,
    B10001000,
    B10001000,
    B10001000,
    B01110000,
    6,

    B00000000,	//p
    B00000000,
    B11110000,
    B10001000,
    B11110000,
    B10000000,
    B10000000,
    6,

    B00000000,	//q
    B00000000,
    B01101000,
    B10011000,
    B01111000,
    B00001000,
    B00001000,
    6,

    B00000000,	//r
    B00000000,
    B10110000,
    B11001000,
    B10000000,
    B10000000,
    B10000000,
    6,

    B00000000,	//s
    B00000000,
    B01110000,
    B10000000,
    B01110000,
    B00001000,
    B11110000,
    6,

    B01000000,	//t
    B01000000,
    B11100000,
    B01000000,
    B01000000,
    B01001000,
    B00110000,
    6,

    B00000000,	//u
    B00000000,
    B10001000,
    B10001000,
    B10001000,
    B10011000,
    B01101000,
    6,

    B00000000,	//v
    B00000000,
    B10001000,
    B10001000,
    B10001000,
    B01010000,
    B00100000,
    6,

    B00000000,	//w
    B00000000,
    B10001000,
    B10101000,
    B10101000,
    B10101000,
    B01010000,
    6,

    B00000000,	//x
    B00000000,
    B10001000,
    B01010000,
    B00100000,
    B01010000,
    B10001000,
    6,

    B00000000,	//y
    B00000000,
    B10001000,
    B10001000,
    B01111000,
    B00001000,
    B01110000,
    6,

    B00000000,	//z
    B00000000,
    B11111000,
    B00010000,
    B00100000,
    B01000000,
    B11111000,
    6,

    B00100000,	//{
    B01000000,
    B01000000,
    B10000000,
    B01000000,
    B01000000,
    B00100000,
    4,

    B10000000,	//|
    B10000000,
    B10000000,
    B10000000,
    B10000000,
    B10000000,
    B10000000,
    2,

    B10000000,	//}
    B01000000,
    B01000000,
    B00100000,
    B01000000,
    B01000000,
    B10000000,
    4,

    B00000000,	//~
    B00000000,
    B00000000,
    B01101000,
    B10010000,
    B00000000,
    B00000000,
    6,

    B01100000,	// (Char 0x7F)
    B10010000,
    B10010000,
    B01100000,
    B00000000,
    B00000000,
    B00000000,
    5
};

void scrollFont() {
    for (int counter=0x20;counter<0x80;counter++){
        loadBufferLong(counter);
        delay(500);
    }
}

// Scroll Message
void scrollMessage(prog_uchar * messageString) {
    int counter = 0;
    int myChar=0;
    do {
        // read back a char 
        myChar =  pgm_read_byte_near(messageString + counter); 
        if (myChar != 0){
            loadBufferLong(myChar);
        }
        counter++;
    } 
    while (myChar != 0);
}
// Load character into scroll buffer
void loadBufferLong(int ascii){
    if (ascii >= 0x20 && ascii <=0x7f){
        for (int a=0;a<7;a++){                      // Loop 7 times for a 5x7 font
            unsigned long c = pgm_read_byte_near(font5x7 + ((ascii - 0x20) * 8) + a);     // Index into character table to get row data
            unsigned long x = bufferLong [a*2];     // Load current scroll buffer
            x = x | c;                              // OR the new character onto end of current
            bufferLong [a*2] = x;                   // Store in buffer
        }
        byte count = pgm_read_byte_near(font5x7 +((ascii - 0x20) * 8) + 7);     // Index into character table for kerning data
        for (byte x=0; x<count;x++){
            rotateBufferLong();
            printBufferLong();
            delay(scrollDelay);
        }
    }
}
// Rotate the buffer
void rotateBufferLong(){
    for (int a=0;a<7;a++){                      // Loop 7 times for a 5x7 font
        unsigned long x = bufferLong [a*2];     // Get low buffer entry
        byte b = bitRead(x,31);                 // Copy high order bit that gets lost in rotation
        x = x<<1;                               // Rotate left one bit
        bufferLong [a*2] = x;                   // Store new low buffer
        x = bufferLong [a*2+1];                 // Get high buffer entry
        x = x<<1;                               // Rotate left one bit
        bitWrite(x,0,b);                        // Store saved bit
        bufferLong [a*2+1] = x;                 // Store new high buffer
    }
}  
// Display Buffer on LED matrix
void printBufferLong(){
  for (int a=0;a<7;a++){                    // Loop 7 times for a 5x7 font
    unsigned long x = bufferLong [a*2+1];   // Get high buffer entry
    byte y = x;                             // Mask off first character
    lc.setRow(3,a,y);                       // Send row to relevent MAX7219 chip
    x = bufferLong [a*2];                   // Get low buffer entry
    y = (x>>24);                            // Mask off second character
    lc.setRow(2,a,y);                       // Send row to relevent MAX7219 chip
    y = (x>>16);                            // Mask off third character
    lc.setRow(1,a,y);                       // Send row to relevent MAX7219 chip
    y = (x>>8);                             // Mask off forth character
    lc.setRow(0,a,y);                       // Send row to relevent MAX7219 chip
  }
}

The pertinent parts are at the top of the sketch – the following line sets the number of MAX7219s in the hardware:

const int numDevices = 2;

The following can be adjusted to change the speed of text scrolling:

const long scrollDelay = 75;

… then place the text to scroll in the following (for example):

prog_uchar scrollText[] PROGMEM ={
    "  THE QUICK BROWN FOX JUMPED OVER THE LAZY DOG 1234567890 the quick brown fox jumped over the lazy dog   \0"};

Finally – to scroll the text on demand, use the following:

scrollMessage(scrollText);

You can then incorporate the code into your own sketches. And a video of the example sketch in action:

Although we used the LedControl library, there are many others out there for scrolling text. One interesting example is Parola  – which is incredibly customisable. If you’re looking for a much larger device to scroll text, check out the Freetronics DMD range.

Controlling LED numeric displays with the MAX7219

Using the MAX7219 and the LedControl library you can also drive numeric LED displays – up to eight digits from the one MAX7219. This gives you the ability to make various numeric displays that are clear to read and easy to control. When shopping around for numeric LED displays, make sure you have the common-cathode type.

Connecting numeric displays is quite simple, consider the following schematic which should appear familiar by now:

The schematic shows the connections for modules or groups of up to eight digits. Each digit’s A~F and dp (decimal point) anodes connect together to the MAX7219, and each digit’s cathode connects in order as well. The MAX7219 will display each digit in turn by using one cathode at a time. Of course if you want more than eight digits, connect another MAX7219 just as we did with the LED matrices previously.

The required code in the sketch is identical to the LED matrix code, however to display individual digits we use:

lc.setDigit(A, B, C, D);

where A is the MAX7219 we’re using, B is the digit to use (from a possible 0 to 7), C is the digit to display (0~9… if you use 10~15 it will display A~F respectively) and D is false/true (digit on or off). You can also send basic characters such as a dash “-” with the following:

lc.setChar(A, B,'-',false);

Now let’s put together an example of eight digits:

#include "LedControl.h" //  need the library
LedControl lc=LedControl(12,11,10,1); // lc is our object
// pin 12 is connected to the MAX7219 pin 1
// pin 11 is connected to the CLK pin 13
// pin 10 is connected to LOAD pin 12
// 1 as we are only using 1 MAX7219
void setup()
{
  // the zero refers to the MAX7219 number, it is zero for 1 chip
  lc.shutdown(0,false);// turn off power saving, enables display
  lc.setIntensity(0,8);// sets brightness (0~15 possible values)
  lc.clearDisplay(0);// clear screen
}
void loop()
{
  for (int a=0; a<8; a++)
  {
    lc.setDigit(0,a,a,true);
    delay(100);
  }
  for (int a=0; a<8; a++)
  {
    lc.setDigit(0,a,8,1);
    delay(100);
  }
  for (int a=0; a<8; a++)
  {
    lc.setDigit(0,a,0,false);
    delay(100);
  }
  for (int a=0; a<8; a++)
  {
    lc.setChar(0,a,' ',false);
    delay(100);
  }
  for (int a=0; a<8; a++)
  {
    lc.setChar(0,a,'-',false);
    delay(100);
  }
  for (int a=0; a<8; a++)
  {
    lc.setChar(0,a,' ',false);
    delay(100);
  }
}

and the sketch in action:

Conclusion

By now you’re on your way to controlling an incredibly useful part with your Arduino. Don’t forget – there are many variations of Arduino libraries for the MAX7219, we can’t cover each one – so have fun and experiment with them. And if you enjoyed the tutorial, or want to introduce someone else to the interesting world of Arduino – check out my book (now in a third printing!) “Arduino Workshop” from No Starch Press.

In the meanwhile have fun and keep checking into tronixstuff.com. Why not follow things on twitter, Google+, subscribe  for email updates or RSS using the links on the right-hand column? And join our friendly Google Group – dedicated to the projects and related items on this website. Sign up – it’s free, helpful to each other –  and we can all learn something.

The post Tutorial – Arduino and the MAX7219 LED Display Driver IC appeared first on tronixstuff.

Introduction

This is the first of three tutorials that will examine the LM391x series of LED driver ICs. In this first tutorial we cover the LM3914, then the LM3915 and LM3916 will follow. The goal of these tutorials is to have you using the parts in a small amount of time and experiment with your driver ICs, from which point you can research further into their theory and application.

Although these parts have been around for many years, the LM3914 in particular is still quite popular. It offers a simple way to display a linear voltage level using one or more groups of ten LEDs with a minimum of fuss.

With a variety of external parts or circuitry these LEDs can then represent all sorts of data, or just blink for your amusement. We’ll run through a few example circuits that you can use in your own projects and hopefully give you some ideas for the future. Originally by National Semiconductor, the LM391X series is now handled by Texas Instruments.

Getting Started

You will need the LM3914 data sheet, so please download that and keep it as a reference. So – back to basics. The LM3914 controls ten LEDs. It controls the current through the LEDs with the use of only one resistor, and the LEDs can appear in a bar graph or single ‘dot’ when in use. The LM3914 contains a ten-stage voltage divider, each stage when reached will illuminate the matching LED (and those below it in level meter mode).

Let’s consider the most basic of examples (from page two of the data sheet) – a voltmeter with a range of 0~5V:

The Vled rail is also connected to the supply voltage in our example. Pin 9 controls the bar/dot display mode – with it connected to pin 3 the LEDs will operate in bar graph mode, leave it open for dot mode. The 2.2uF capacitor is required only when “leads to the LED supply are 6″ or longer”. We’ve hooked up the circuit above, and created a 0~5V DC source via a 10kΩ potentiometer with a multimeter to show the voltage – in the following video you can see the results of this circuit in action, in both dot and bar graph mode:

Customising the upper range and LED current

Well that was exciting, however what if you want a different reference voltage? That is you want your display to have a range of 0~3 V DC? And how do you control the current flow through each LED? With maths and resistors. Consider the following formulae:

As you can see the LED current (Iled) is simple, our example is 12.5/1210 which returned 10.3 mA – and in real life 12.7 mA (resistor tolerance is going to affect the value of the calculations).

Now to calculate a new Ref Out voltage – for example  we’ll shoot for a 3 V meter, and keep the same current for the LEDs. This requires solving for R2 in the equation above, which results with R2 = -R1 + 0.8R1V. Substituting the values – R2 = -1210 + 0.8 x 1210 x 3 gives a value of 1694Ω for R2. Not everyone will have the E48 resistor range, so try and get something as close as possible. We found a 1.8 kΩ for R2 and show the results in the following video:

You can of course have larger display range values, but a supply voltage of no more than 25 V will need to be equal to or greater than that value. E.g. if you want a 0~10 V display, the supply voltage must be >= 10V DC.

Creating custom ranges

Now we’ll look at how to create  a lower range limit, so you can have displays that (for example) can range from a non-zero positive value. For example, you want to display levels between 3 and 5V DC. From the previous section, you know how to set the upper limit, and setting the lower limit is simple – just apply the lower voltage to pin 4 (Rlo).

You can derive this using a resistor divider or other form of supply with a common GND. When creating such circuits, remember that the tolerance of the resistors used in the voltage dividers will have an affect on the accuracy. Some may wish to fit trimpots, which after alignment can be set permanently with a blob of glue.

Finally, for more reading on this topic – download and review the TI application note.

Chaining multiple LM3914s

Two or more LM3914s can be chained together to increase the number of LEDs used to display the levels over an expanded range. The circuitry is similar to using two independent units, except the REFout (pin 7) from the first LM3914 is fed to the REFlo (pin 4) of the second LM3914 – whose REFout is set as required for the upper range limit. Consider the following example schematic which gave a real-world range of 0~3.8V DC:

The 20~22kΩ resistor is required if you’re using dot mode (see “Dot mode carry” in page ten of the data sheet). Moving on, the circuit above results with the following:

Where to from here?

Now you can visually represent all sorts of low voltages for many purposes. There’s more example circuits and notes in the LM3914 data sheet, so have a read through and delve deeper into the operation of the LM3914. Furthermore Dave Jones from eevblog.com has made a great video whcih describes a practical application of the LM3914:

Conclusion

As always I hope you found this useful. Don’t forget to stay tuned for the second and third instalments using the LM3915 and LM3916. Full-sized images are on flickr. And if you made it this far – check out my new book “Arduino Workshop” from No Starch Press.

In the meanwhile have fun and keep checking into tronixstuff.com. Why not follow things on twitter, Google+, subscribe  for email updates or RSS using the links on the right-hand column? And join our friendly Google Group – dedicated to the projects and related items on this website. Sign up – it’s free, helpful to each other –  and we can all learn something.

The post Tutorial – LM3914 Dot/Bar Display Driver IC appeared first on tronixstuff.

• Part 1 : The Connection class 
• Part 2 : The Neuron class 
• Part 3 : The Layer class
• Part 4 : The Neural Network class
• Part 5:  Back Propagation - the process
• Part 6 : Back Propagation (A complete walk through)

Processing sketch

  1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573

/*Neural Network created by ScottC on 15th Aug 2011
 
Please visit my blog for a detailed explanation of my Neural Network
http://arduinobasics.blogspot.com/p/arduinoprojects.html
 
*/
   
   
 
void setup(){
  ArrayList myTrainingInputs = new ArrayList();
  ArrayList myTrainingOutputs = new ArrayList();
   
  float[] myInputsA={0,0};
  float[] myInputsB={0,1};
  float[] myInputsC={1,0};
  float[] myInputsD={1,1};
  float[] myOutputsA={1};
  float[] myOutputsB={0};
   
   
  println("TRAINING DATA");
  println("--------------------------------------------");
  myTrainingInputs.add(myInputsA);
  myTrainingOutputs.add(myOutputsA);
  println("INPUTS= " + myInputsA[0] + ", " + myInputsA[1] + "; Expected output = " + myOutputsA[0]);
  myTrainingInputs.add(myInputsB);
  myTrainingOutputs.add(myOutputsB);
  println("INPUTS= " + myInputsB[0] + ", " + myInputsB[1] + "; Expected output = " + myOutputsB[0]);
  myTrainingInputs.add(myInputsC);
  myTrainingOutputs.add(myOutputsB);
  println("INPUTS= " + myInputsC[0] + ", " + myInputsC[1] + "; Expected output = " + myOutputsB[0]);
  myTrainingInputs.add(myInputsD);
  myTrainingOutputs.add(myOutputsA);
  println("INPUTS= " + myInputsD[0] + ", " + myInputsD[1] + "; Expected output = " + myOutputsA[0]);
  println("--------------------------------------------");
  
  NeuralNetwork NN = new NeuralNetwork();
  NN.addLayer(2,2);
  NN.addLayer(2,1);
  
  println("Before Training");
  float[] myInputDataA1={0,0};
  NN.processInputsToOutputs(myInputDataA1);
  float[] myOutputDataA1={};
  myOutputDataA1=NN.getOutputs();
  println("Feed Forward:  INPUT = 0,0; OUTPUT=" + myOutputDataA1[0]);
   
  float[] myInputDataB1={0,1};
  NN.processInputsToOutputs(myInputDataB1);
  float[] myOutputDataB1={};
  myOutputDataB1=NN.getOutputs();
  println("Feed Forward:  INPUT = 0,1; OUTPUT=" + myOutputDataB1[0]);
   
  float[] myInputDataC1={1,0};
  NN.processInputsToOutputs(myInputDataC1);
  float[] myOutputDataC1={};
  myOutputDataC1=NN.getOutputs();
  println("Feed Forward:  INPUT = 1,0; OUTPUT=" + myOutputDataC1[0]);
   
  float[] myInputDataD1={1,1};
  NN.processInputsToOutputs(myInputDataD1);
  float[] myOutputDataD1={};
  myOutputDataD1=NN.getOutputs();
  println("Feed Forward:  INPUT = 1,1; OUTPUT=" + myOutputDataD1[0]);
 
  println("");
  println("--------------------------------------------");
   
  println("Begin Training");
  NN.autoTrainNetwork(myTrainingInputs,myTrainingOutputs,0.0001,500000);
  println("");
  println("End Training");
  println("");
  println("--------------------------------------------");
  println("Test the neural network");
  float[] myInputDataA2={0,0};
  NN.processInputsToOutputs(myInputDataA2);
  float[] myOutputDataA2={};
  myOutputDataA2=NN.getOutputs();
  println("Feed Forward:  INPUT = 0,0; OUTPUT=" + myOutputDataA2[0]);
   
  float[] myInputDataB2={0,1};
  NN.processInputsToOutputs(myInputDataB2);
  float[] myOutputDataB2={};
  myOutputDataB2=NN.getOutputs();
  println("Feed Forward:  INPUT = 0,1; OUTPUT=" + myOutputDataB2[0]);
   
  float[] myInputDataC2={1,0};
  NN.processInputsToOutputs(myInputDataC2);
  float[] myOutputDataC2={};
  myOutputDataC2=NN.getOutputs();
  println("Feed Forward:  INPUT = 1,0; OUTPUT=" + myOutputDataC2[0]);
   
  float[] myInputDataD2={1,1};
  NN.processInputsToOutputs(myInputDataD2);
  float[] myOutputDataD2={};
  myOutputDataD2=NN.getOutputs();
  println("Feed Forward:  INPUT = 1,1; OUTPUT=" + myOutputDataD2[0]);
  
   
}
 
 
/* ---------------------------------------------------------------------
A connection determines how much of a signal is passed through to the neuron.
--------------------------------------------------------------------  */
 
class Connection{
  float connEntry;
  float weight;
  float connExit;
   
  //This is the default constructor for an Connection
  Connection(){
    randomiseWeight();
  }
   
  //A custom weight for this Connection constructor
  Connection(float tempWeight){
    setWeight(tempWeight);
  }
   
  //Function to set the weight of this connection
  void setWeight(float tempWeight){
    weight=tempWeight;
  }
   
  //Function to randomise the weight of this connection
  void randomiseWeight(){
    setWeight(random(2)-1);
  }
   
  //Function to calculate and store the output of this Connection
  float calcConnExit(float tempInput){
    connEntry = tempInput;
    connExit = connEntry * weight;
    return connExit;
  }
}
 
 
/* -----------------------------------------------------------------
   A neuron does all the processing and calculation to convert an input into an output
--------------------------------------------------------------------- */
 
class Neuron{
  Connection[] connections={};
  float bias;
  float neuronInputValue;
  float neuronOutputValue;
  float deltaError;
   
  //The default constructor for a Neuron
  Neuron(){
  }
   
  /*The typical constructor of a Neuron - with random Bias and Connection weights */
  Neuron(int numOfConnections){
    randomiseBias();
    for(int i=0; i<numOfConnections; i++){
      Connection conn = new Connection();
      addConnection(conn);
    }
  }
   
  //Function to add a Connection to this neuron
  void addConnection(Connection conn){
      connections = (Connection[]) append(connections, conn);
  }
   
  /* Function to return the number of connections associated with this neuron.*/
  int getConnectionCount(){
      return connections.length;
  }
   
  //Function to set the bias of this Neron
  void setBias(float tempBias){
    bias = tempBias;
  }
   
  //Function to randomise the bias of this Neuron
  void randomiseBias(){
    setBias(random(1));
  }
   
  /*Function to convert the inputValue to an outputValue
  Make sure that the number of connEntryValues matches the number of connections */
   
  float getNeuronOutput(float[] connEntryValues){
    if(connEntryValues.length!=getConnectionCount()){
      println("Neuron Error: getNeuronOutput() : Wrong number of connEntryValues");
      exit();
    }
     
    neuronInputValue=0;
     
    /* First SUM all of the weighted connection values (connExit) attached to this neuron. This becomes the neuronInputValue. */
    for(int i=0; i<getConnectionCount(); i++){
      neuronInputValue+=connections[i].calcConnExit(connEntryValues[i]);
    }
     
    //Add the bias to the Neuron's inputValue
    neuronInputValue+=bias;
     
    /* Send the inputValue through the activation function to produce the Neuron's outputValue */
    neuronOutputValue=Activation(neuronInputValue);
     
    //Return the outputValue
    return neuronOutputValue;
  }
   
  //Activation function
  float Activation(float x){
    float activatedValue = 1 / (1 + exp(-1 * x));
    return activatedValue;
  }
   
}
 
class Layer{
  Neuron[] neurons = {};
  float[] layerINPUTs={};
  float[] actualOUTPUTs={};
  float[] expectedOUTPUTs={};
  float layerError;
  float learningRate;
   
   
  /* This is the default constructor for the Layer */
  Layer(int numberConnections, int numberNeurons){
    /* Add all the neurons and actualOUTPUTs to the layer */
    for(int i=0; i<numberNeurons; i++){
      Neuron tempNeuron = new Neuron(numberConnections);
      addNeuron(tempNeuron);
      addActualOUTPUT();
    }
  }
     
   
  /* Function to add an input or output Neuron to this Layer */
  void addNeuron(Neuron xNeuron){
        neurons = (Neuron[]) append(neurons, xNeuron);
  }
   
   
  /* Function to get the number of neurons in this layer */
  int getNeuronCount(){
    return neurons.length;
  }
   
   
  /* Function to increment the size of the actualOUTPUTs array by one. */
  void addActualOUTPUT(){
      actualOUTPUTs = (float[]) expand(actualOUTPUTs,(actualOUTPUTs.length+1));
  }
   
   
  /* Function to set the ENTIRE expectedOUTPUTs array in one go. */
  void setExpectedOUTPUTs(float[] tempExpectedOUTPUTs){
    expectedOUTPUTs=tempExpectedOUTPUTs;
  }
   
   
  /* Function to clear ALL values from the expectedOUTPUTs array */
  void clearExpectedOUTPUT(){
       expectedOUTPUTs = (float[]) expand(expectedOUTPUTs, 0);
  }
   
   
  /* Function to set the learning rate of the layer */
  void setLearningRate(float tempLearningRate){
    learningRate=tempLearningRate;
  }
   
   
  /* Function to set the inputs of this layer */
  void setInputs(float[] tempInputs){
    layerINPUTs=tempInputs;
  }
   
   
   
  /* Function to convert ALL the Neuron input values into Neuron output values in this layer, through a special activation function. */
  void processInputsToOutputs(){
     
    /* neuronCount is used a couple of times in this function. */
    int neuronCount = getNeuronCount();
     
    /* Check to make sure that there are neurons in this layer to process the inputs */
    if(neuronCount>0) {
      /* Check to make sure that the number of inputs matches the number of Neuron Connections. */
      if(layerINPUTs.length!=neurons[0].getConnectionCount()){
        println("Error in Layer: processInputsToOutputs: The number of inputs do NOT match the number of Neuron connections in this layer");
        exit();
      } else {
        /* The number of inputs are fine : continue
           Calculate the actualOUTPUT of each neuron in this layer,
           based on their layerINPUTs (which were previously calculated).
           Add the value to the layer's actualOUTPUTs array. */
        for(int i=0; i<neuronCount;i++){
          actualOUTPUTs[i]=neurons[i].getNeuronOutput(layerINPUTs);
        }
      }
    }else{
      println("Error in Layer: processInputsToOutputs: There are no Neurons in this layer");
      exit();
    }
  }
   
   
  /* Function to get the error of this layer */
  float getLayerError(){
    return layerError;
  }
   
   
  /* Function to set the error of this layer */
  void setLayerError(float tempLayerError){
    layerError=tempLayerError;
  }
   
   
  /* Function to increase the layerError by a certain amount */
  void increaseLayerErrorBy(float tempLayerError){
    layerError+=tempLayerError;
  }
   
   
  /* Function to calculate and set the deltaError of each neuron in the layer */
  void setDeltaError(float[] expectedOutputData){
    setExpectedOUTPUTs(expectedOutputData);
    int neuronCount = getNeuronCount();
    /* Reset the layer error to 0 before cycling through each neuron */
    setLayerError(0);
     for(int i=0; i<neuronCount;i++){
       neurons[i].deltaError = actualOUTPUTs[i]*(1-actualOUTPUTs[i])*(expectedOUTPUTs[i]-actualOUTPUTs[i]);
        
       /* Increase the layer Error by the absolute difference between the calculated value (actualOUTPUT) and the expected value (expectedOUTPUT). */
       increaseLayerErrorBy(abs(expectedOUTPUTs[i]-actualOUTPUTs[i]));
     }
  }
   
   
  /* Function to train the layer : which uses a training set to adjust the connection weights and biases of the neurons in this layer */
  void trainLayer(float tempLearningRate){
    setLearningRate(tempLearningRate);
     
    int neuronCount = getNeuronCount();
     
    for(int i=0; i<neuronCount;i++){
      /* update the bias for neuron[i] */
      neurons[i].bias += (learningRate * 1 * neurons[i].deltaError);
       
      /* update the weight of each connection for this neuron[i] */
      for(int j=0; j<neurons[i].getConnectionCount(); j++){
          neurons[i].connections[j].weight += (learningRate * neurons[i].connections[j].connEntry * neurons[i].deltaError);
      }  
    }
  }
}
 
/* -------------------------------------------------------------
   The Neural Network class is a container to hold and manage all the layers
   ---------------------------------------------------------------- */
 
class NeuralNetwork{
  Layer[] layers = {};
  float[] arrayOfInputs={};
  float[] arrayOfOutputs={};
  float learningRate;
  float networkError;
  float trainingError;
  int retrainChances=0;
   
  NeuralNetwork(){
    /* the default learning rate of a neural network is set to 0.1, which can changed by the setLearningRate(lR) function. */
    learningRate=0.1;
  }
   
   
   
  /* Function to add a Layer to the Neural Network */
  void addLayer(int numConnections, int numNeurons){
    layers = (Layer[]) append(layers, new Layer(numConnections,numNeurons));
  }
 
 
 
  /* Function to return the number of layers in the neural network */
  int getLayerCount(){
      return layers.length;
  }
   
   
   
  /* Function to set the learningRate of the Neural Network */
  void setLearningRate(float tempLearningRate){
    learningRate=tempLearningRate;
  }
   
   
   
  /* Function to set the inputs of the neural network */
  void setInputs(float[] tempInputs){
    arrayOfInputs=tempInputs;
  }
   
   
   
  /* Function to set the inputs of a specified layer */
  void setLayerInputs(float[] tempInputs, int layerIndex){
    if(layerIndex>getLayerCount()-1){
      println("NN Error: setLayerInputs: layerIndex=" + layerIndex + " exceeded limits= " + (getLayerCount()-1));
    } else {
      layers[layerIndex].setInputs(tempInputs);
    }
  }
   
   
   
  /* Function to set the outputs of the neural network */
  void setOutputs(float[] tempOutputs){
    arrayOfOutputs=tempOutputs;
  }
   
   
   
  /* Function to return the outputs of the Neural Network */
  float[] getOutputs(){
    return arrayOfOutputs;
  }
   
   
   
  /* Function to process the Neural Network's input values and convert them to an output pattern using ALL layers in the network */
  void processInputsToOutputs(float[] tempInputs){
    setInputs(tempInputs);
     
    /* Check to make sure that the number of NeuralNetwork inputs matches the Neuron Connection Count in the first layer. */
    if(getLayerCount()>0){
      if(arrayOfInputs.length!=layers[0].neurons[0].getConnectionCount()){
        println("NN Error: processInputsToOutputs: The number of inputs do NOT match the NN");
        exit();
      } else {
        /* The number of inputs are fine : continue */
        for(int i=0; i<getLayerCount(); i++){
           
          /*Set the INPUTs for each layer: The first layer gets it's input data from the NN, whereas the 2nd and subsequent layers get their input data from the previous layer's actual output. */
          if(i==0){
            setLayerInputs(arrayOfInputs,i);
          } else {
            setLayerInputs(layers[i-1].actualOUTPUTs, i);
          }
           
          /* Now that the layer has had it's input values set, it can now process this data, and convert them into an output using the layer's neurons. The outputs will be used as inputs in the next layer (if available). */
          layers[i].processInputsToOutputs();
        }
        /* Once all the data has filtered through to the end of network, we can grab the actualOUTPUTs of the LAST layer
           These values become or will be set to the NN output values (arrayOfOutputs), through the setOutputs function call. */
        setOutputs(layers[getLayerCount()-1].actualOUTPUTs);
      }
    }else{
      println("Error: There are no layers in this Neural Network");
      exit();
    }
  }
   
   
   
   
  /* Function to train the entire network using an array. */
  void trainNetwork(float[] inputData, float[] expectedOutputData){
    /* Populate the ENTIRE network by processing the inputData. */
    processInputsToOutputs(inputData);
     
    /* train each layer - from back to front (back propagation) */
    for(int i=getLayerCount()-1; i>-1; i--){
      if(i==getLayerCount()-1){
        layers[i].setDeltaError(expectedOutputData);
        layers[i].trainLayer(learningRate);
        networkError=layers[i].getLayerError();
      } else {
        /* Calculate the expected value for each neuron in this layer (eg. HIDDEN LAYER) */
        for(int j=0; j<layers[i].getNeuronCount(); j++){
          /* Reset the delta error of this neuron to zero. */
          layers[i].neurons[j].deltaError=0;
          /* The delta error of a hidden layer neuron is equal to the SUM of [the PRODUCT of the connection.weight and error of the neurons in the next layer(eg OUTPUT Layer)]. */
          /* Connection#1 of each neuron in the output layer connect with Neuron#1 in the hidden layer */
          for(int k=0; k<layers[i+1].getNeuronCount(); k++){
            layers[i].neurons[j].deltaError += (layers[i+1].neurons[k].connections[j].weight * layers[i+1].neurons[k].deltaError);
          }
          /* Now that we have the sum of Errors x weights attached to this neuron. We must multiply it by the derivative of the activation function. */
          layers[i].neurons[j].deltaError *= (layers[i].neurons[j].neuronOutputValue * (1-layers[i].neurons[j].neuronOutputValue));
        }
        /* Now that you have all the necessary fields populated, you can now Train this hidden layer and then clear the Expected outputs, ready for the next round. */
        layers[i].trainLayer(learningRate);
        layers[i].clearExpectedOUTPUT();
      }
    }
  }
   
   
   
   
   
  /* Function to train the entire network, using an array of input and expected data within an ArrayList */
  void trainingCycle(ArrayList trainingInputData, ArrayList trainingExpectedData, Boolean trainRandomly){
      int dataIndex;
       
      /* re-initialise the training Error with every cycle */
      trainingError=0;
       
      /* Cycle through the training data either randomly or sequentially */
      for(int i=0; i<trainingInputData.size(); i++){
        if(trainRandomly){
          dataIndex=(int) (random(trainingInputData.size()));
        } else {
          dataIndex=i;
        }
  
        trainNetwork((float[]) trainingInputData.get(dataIndex),(float[]) trainingExpectedData.get(dataIndex));
         
        /* Use the networkError variable which is calculated at the end of each individual training session to calculate the entire trainingError. */
        trainingError+=abs(networkError);
      }
  }
   
   
   
   
   
  /* Function to train the network until the Error is below a specific threshold */
  void autoTrainNetwork(ArrayList trainingInputData, ArrayList trainingExpectedData, float trainingErrorTarget, int cycleLimit){
    trainingError=9999;
    int trainingCounter=0;
     
     
    /* cycle through the training data until the trainingError gets below trainingErrorTarget (eg. 0.0005) or the training cycles have exceeded the cycleLimit
 
variable (eg. 10000). */
    while(trainingError>trainingErrorTarget && trainingCounter<cycleLimit){
       
      /* re-initialise the training Error with every cycle */
      trainingError=0;
       
      /* Cycle through the training data randomly */
      trainingCycle(trainingInputData, trainingExpectedData, true);
       
      /* increment the training counter to prevent endless loop */
      trainingCounter++;
    }
     
    /* Due to the random nature in which this neural network is trained. There may be occasions when the training error may drop below the threshold
       To check if this is the case, we will go through one more cycle (but sequentially this time), and check the trainingError for that cycle
       If the training error is still below the trainingErrorTarget, then we will end the training session.
       If the training error is above the trainingErrorTarget, we will continue to train. It will do this check a  Maximum of 9 times. */
    if(trainingCounter<cycleLimit){
       trainingCycle(trainingInputData, trainingExpectedData, false);
       trainingCounter++;
       
       if(trainingError>trainingErrorTarget){
         if (retrainChances<10){
           retrainChances++;
           autoTrainNetwork(trainingInputData, trainingExpectedData,trainingErrorTarget, cycleLimit);
         }
       }
        
    } else {
      println("CycleLimit has been reached. Has been retrained " + retrainChances + " times.  Error is = " + trainingError);
    }  
  }
}