Chapter 15: Complete Embedded System
Modified to be compatible with EE319K Lab 10

Jonathan Valvano and Ramesh Yerraballi

 

So far in this course have presented embedded systems from an interfacing or component level. This chapter will introduce systems level design. The chapter begins with a discussion of requirements document and modular design. Next, we will describe data structures used to represent graphics images. We will conclude this course with a project of building a hand-held game. We will call it a project rather than a lab because we have no automatic grader capable of evaluating a game. However, we will have a mechanism to share games between students.

Learning Objectives:  

  • Review course contents
  • Integrate components into a complete embedded system
  • Use structures to organize data
  • Introduce graphics
  • First-In-First-Out (FIFO) Queue
  • Build a hand-held game

                  

                     Video 15.0. Introduction to Programming Games

15.1. Requirements Document

A Requirements Document states what the system will do. It does not state how the system will do it. The main purpose of a requirements document is to serve as an agreement between you and your clients describing what the system will do. This agreement can become a legally binding contract. We should write the document so that it is easy to read and understand by others. It should be unambiguous, complete, verifiable, and modifiable. In this chapter we will use the framework of the requirements document to describe the hand-held game project.

1. Overview

  1.1. Objectives: Why are we doing this project? What is the purpose? The overall objective of this project is to integrate the individual components taught in this class into a single system. More specifically, the objectives of this project are: 1) design, test, and debug a large C program; 2) to review I/O interfacing techniques used in this class; and 3) to design a system that performs a useful task.  In particular we will design an 80’s-style shoot-em up game like Space Invaders.

  1.2. Process: How will the project be developed? Similar to the labs, this lab has starter projects: Lab10_EE319K for EE319K and Lab10_C++ for EE319H. The projects include some art and sounds to get you started.

  1.3. Roles and Responsibilities: Who will do what?  Who are the clients? Students may develop their games using their EE319K teams. The clients for this project will be other classmates and your EE319K professors.

  1.4. Interactions with Existing Systems: How will it fit in? The game must be developed in C on the Keil IDE and run on a Tiva LaunchPad. We expect you to combine your solutions to Lab 3 (switches, LED), Lab 6 (interrupts, DAC and sounds), Lab 7 (LCD), Lab 8(slide pot and ADC) into one system. We expect everyone to use the slide pot, two switches, two LEDs, one DAC, and the ST7735R or Nokia5110 LCD screen.

  1.5. Terminology: Define terms used in the document. BMP is a simple file format to store graphical images. A sprite is a virtual entity that is created, moves around the screen, and might disappear. A public function is one that can be called by another module. For example if the main program calls Sound_Play, then  Sound_Play is a public function.

  1.6. Security: How will intellectual property be managed? Uploading a YouTube video on this project does contribute to your Lab 10 grade. To reduce the chance of spreading viruses, we only be sharing YouTube videos.

2. Function Description

  2.1. Functionality: What will the system do precisely? You will design, implement and debug an 80’s or 90’s-style video game. You are free to simplify the rules but your game should be recognizable and fun. The LCD, LEDs, and sound are the outputs. The slide pot is a simple yet effective means to move your ship. Interrupts must be appropriately used control the input/output, and will make a profound impact on how the user interacts with the game. You could use an edge-triggered interrupt to execute software whenever a button is pressed. You could create two periodic interrupts. Use one fixed-frequency periodic interrupt to output sounds with the DAC. You could decide to move a sprite using a second periodic interrupt, although the actual LCD output should always be performed in the main program.

  2.2. Scope: List the phases and what will be delivered in each phase. The first phase is forming a team and defining the exact rules of game play. You next will specify the modules: e.g., the main game engine, a module to input from switches, a module to output to LEDs, a module to draw images on the LCD, and a module that inputs from the slide pot. Next you will design the prototypes for the public functions. At this phase of the project, individual team members can develop and test modules concurrently. The last phase of the project is to combine the modules to create the overall system.

  2.3. Prototypes: How will intermediate progress be demonstrated? In a system such as this each module must be individually tested. Your system will have four or more modules. Each module has a separate header and code file. For each module create a header file, a code file and a separate main program to test that particular module.

  2.4. Performance: Define the measures and describe how they will be determined. The game should be easy to learn, and fun to play.

  2.5. Usability: Describe the interfaces. Be quantitative if possible. The usability of your game will be outlined in your proposal.

  2.6. Safety: Explain any safety requirements and how they will be measured. To reduce the chance of spreading viruses we will only share YouTube videos. The usual rules about respect and tolerance as defined for the forums apply as well to the output of the video games.

3. Deliverables

  3.1. Reports: How will the system be described? Add comments to the top of your C file to explain the purpose and functionality of your game.

  3.2. Audits: How will the clients evaluate progress? There will be a discussion forum that will allow you to evaluate the performance (easy to learn, fun to play) of the other games.

  3.3. Outcomes: What are the deliverables? How do we know when it is done? You will commit your software to github and you will upload a YouTube video for others to watch.

                  

                     Video 15.1. Overview of requirements

15.2. Modular Design

The design process involves the conversion of a problem statement into hardware and software components. Successive refinement is the transformation from the general to the specific. In this section, we introduce the concept of modular programming and demonstrate that it is an effective way to organize our software projects. There are four reasons for forming modules. First, functional abstraction allows us to reuse a software module from multiple locations. Second, complexity abstraction allows us to divide a highly complex system into smaller less complicated components. The third reason is portability. If we create modules for the I/O devices, then we can isolate the rest of the system from the hardware details. This approach is sometimes called a hardware abstraction layer. Since all the software components that access an I/O port are grouped together, it will be easier to redesign the embedded system on a machine with different I/O ports. Finally, another reason for forming modules is security. Modular systems by design hide the inner workings from other modules and provide a strict set of mechanisms to access data and I/O ports. Hiding details and restricting access generates a more secure system.

Software must deal with complexity. Most real systems have many components, which interact in a complex manner. The size and interactions will make it difficult to conceptualize, abstract, visualize, and document. In this chapter we will present data flow graphs and call graphs as tools to describe interactions between components. Software must deal with conformity. All design, including software design, must interface with existing systems and with systems yet to be designed. Interfacing with existing systems creates an additional complexity. Software must deal with changeability. Most of the design effort involves change. Creating systems that are easy to change will help manage the rapid growth occurring in the computer industry.

The basic goals of modular design is to maximize the number of modules and minimize the interdependence. There are many ways modules interact with each other. Three of the ways modules interact are

            • Invocation coupling: one module calls another module,

            • Bandwidth coupling: one module sends data to another,

            • Control coupling: shared globals in one module affects behavior in another

 

We specify invocation coupling when we draw the call graph. We specify bandwidth coupling when we draw the data flow graph. Control coupling occurs when we have shared global variables, and should be avoided. However, I/O registers are essentially shared global objects. So one module writing to an I/O register may affect behavior in another module using the sample I/O. Minimizing control coupling was the motivation behind writing friendly code.

A software module has three files:

            • Header file: comments that explain what the module does, prototypes for public functions, shared #define, shared structures, shared typedef, shared enum

            • Code file: comments that explain how the module works, implementation of all functions, private variables (statics), helper functions, comments to explain how to change the module

            • Test main file: comments that explain how the module is tested, test cases, examples of module usage

 

The key to completing any complex task is to break it down into manageable subtasks. Modular programming is a style of software development that divides the software problem into distinct well-defined modules. The parts are as small as possible, yet relatively independent. Complex systems designed in a modular fashion are easier to debug because each module can be tested separately. Industry experts estimate that 50 to 90% of software development cost is spent in maintenance. All five aspects of software maintenance

            • Correcting mistakes,

            • Adding new features,

            • Optimizing for execution speed or program size,

            • Porting to new computers or operating systems, and

            • Reconfiguring the software to solve a similar related program

are simplified by organizing the software system into modules. The approach is particularly useful when a task is large enough to require several programmers.

A program module is a self-contained software task with clear entry and exit points. There is a distinct difference between a module and a C language function. A module is usually a collection of functions that in its entirety performs a well-defined set of tasks. A collection of 32-bit trigonometry functions is an example of a module. A device driver is a software module that facilitates the use of I/O. In particular it is collection of software functions for a particular I/O device. Modular programming involves both the specification of the individual modules and the connection scheme whereby the modules are interfaced together to form the software system. While the module may be called from many locations throughout the software, there should be well-defined entry points. In C, the entry point of a module is defined in the header file and is specified by a list of function prototypes for the public functions.

Common Error: In many situations the input parameters have a restricted range. It would be inefficient for the module and the calling routine to both check for valid input. On the other hand, an error may occur if neither checks for valid input.

An exit point is the ending point of a program module. The exit point of a function is used to return to the calling routine. We need to be careful about exit points. Similarly, if the function returns parameters, then all exit points should return parameters in an acceptable format. If the main program has an exit point it either stops the program or returns to the debugger. In most embedded systems, the main program does not exit.

In this section, an object refers to either a function or a data element. A public object is one that is shared by multiple modules. This means a public object can be accessed by other modules. Typically, we make the most general functions of a module public, so the functions can be called from other modules. For a module performing I/O, typical public functions include initialization, input, and output. A private object is one that is not shared. I.e., a private object can be accessed by only one module. Typically, we make the internal workings of a module private, so we hide how a private function works from user of the module. In an object-oriented language like C++ or Java, the programmer clearly defines a function or data object as public or private. The software in this course uses the naming convention of using the module name followed by an underline to identify the public functions of a module. For example if the module is ADC, then ADC_Init and ADC_Input are public functions. Functions without the underline in its name are private. In this manner we can easily identify whether a function or data object as public or private.

At a first glance, I/O devices seem to be public. For example, Port D resides permanently at the fixed address of 0x400073FC, and the programmer of every module knows that. In other words, from a syntactic viewpoint, any module has access to any I/O device. However, in order to reduce the complexity of the system, we will restrict the number of modules that actually do access the I/O device. From a “what do we actually do” perspective, however, we will write software that considers I/O devices as private, meaning an I/O device should be accessed by only one module. In general, it will be important to clarify which modules have access to I/O devices and when they are allowed to access them. When more than one module accesses an I/O device, then it is important to develop ways to arbitrate or synchronize.  If two or more want to access the device simultaneously arbitration determines which module goes first. Sometimes the order of access matters, so we use synchronization to force a second module to wait until the first module is finished. Most microcontrollers do not have architectural features that restrict access to I/O ports, because it is assumed that all software burned into its ROM was designed for a common goal, meaning from a security standpoint one can assume there are no malicious components. However, as embedded systems become connected to the Internet, providing the power and flexibility, security will become important issue.

: Multiple modules may use Port F, where each module has an initialization. What conflict could arise around the initialization of a port?

Information hiding is similar to minimizing coupling. It is better to separate the mechanisms of software from its policies. We should separate “what the function does” from “how the function works”. What a function does is defined by the relationship between its inputs and outputs. It is good to hide certain inner workings of a module and simply interface with the other modules through the well-defined input/output parameters. For example we could implement a variable size buffer by maintaining the current byte count in a global variable, Count. A good module will hide how Count is implemented from its users. If the user wants to know how many bytes are in the buffer, it calls a function that returns the count. A badly written module will not hide Count from its users. The user simply accesses the global variable Count. If we update the buffer routines, making them faster or better, we might have to update all the programs that access Count too. Allowing all software to access Count creates a security risk, making the system vulnerable to malicious or incompetent software. The object-oriented programming environments provide well-defined mechanisms to support information hiding. This separation of policies from mechanisms is discussed further in the section on layered software.

Maintenance Tip: It is good practice to make all permanently-allocated data and all I/O devices private. Information is transferred from one module to another through well-defined function calls.

The Keep It Simple Stupid approach tries to generalize the problem so that the solution uses an abstract model. Unfortunately, the person who defines the software specifications may not understand the implications and alternatives. As a software developer, we always ask ourselves these questions:

             “How important is this feature?”

            “What if it worked this different way?”

 

Sometimes we can restate the problem to allow for a simpler and possibly more powerful solution. We begin the design of the game by listing possible modules for our system.

ADC                The interface to the joystick

Switch               User interaction with LEDs and switches

Sound               Sound output using the DAC

ST7735              Images displayed on the LCD

Game engine     The central controller that implements the game

 

Figure 15.1 shows a possible call graph for the game. An arrow in a call graph means software in one module can call functions in another module. This is a very simple organization with one master module and four slave modules. Notice the slave modules do not call each other. This configuration is an example of good modularization because there are 5 modules but only 4 arrows.

Figure 15.1. Possible call graph for the game.

Figure 15.2 shows on possible data flow graph for the game. Recall that arrows in a data flow graph represent data passing from one module to another. Notice the high bandwidth communication occurs between the sound module and its hardware, and between the LCD module and its hardware. We will design the system such that software modules do not need to pass a lot of data to other software modules.

Figure 15.2. Possible data flow graph for the game. You can add LEDs if you wish.

The Timer2A ISR will output a sequence of numbers to the DAC to create sound. Let explosion be an array of 2000 4-bit numbers, representing a sound sampled at 11 kHz. If the game engine wishes to make the explosion sound, it calls Sound_Play(explosion,2000); This function call simply passes a pointer to the explosion sound array into the sound module. The Timer2A ISR will output one 4-bit number to the DAC for the next 2000 interrupts.  Notice the data flow from the game engine to the sound module is only two parameters (pointer and count), causing 2000 4-bit numbers to flow from the sound module to the DAC.

The LCD module needs to send images to the LCD. The screen should be updated 30 times/sec so changes in the image looks smooth to the eye.

Figure 15.3 shows on possible flow chart for the game engine. It is important to perform the actual LCD output in the foreground. In this design there are three threads: the main program and two interrupts. Multithreading allows the processor to execute multiple tasks. The main loop performs the game engine and updates the image on the screen. At 30 Hz, which is fast enough to look continuous, the SysTick ISR will sample the ADC and switch inputs. Based on user input and the game function, the ISR will decide what actions to take and signal the main program. To play a sound, we send the Sound module an array of data and arm Timer2A. Each Timer2A interrupt outputs one value to the DAC. When the sound is over we disarm Timer2A.

Figure 15.3. Possible flowchart for the game.

For example, if the ADC notices a motion to the left, the SysTick ISR can tell the main program to move the player ship to the left. Similarly, if the SysTick ISR notices the fire button has been pushed, it can create a missile object, and for the next 100 or so interrupts the SysTick ISR will move the missile until it goes off screen or hits something. In this way the missile moves a pixel or two every 33.3ms, causing its motion to look continuous. In summary, the ISR responds to input and time, but the main loop performs the actual output to the LCD.

: Notice the algorithm in Figure 15.3 samples the ADC and the fire button at 30 Hz. How times/sec can we fire a missile or wiggle the slide pot?  Hint: think Nyquist Theorem.

: Similarly, in Figure 15.3, what frequency components are in the sound output?

                  

                     Video 15.2. Modular design

15.3. Introduction to Graphics

15.3.1. 2-D Matrix

A matrix is a two-dimensional data structure accessed by row and column. Each element of a matrix is the same type and precision. In C, we create matrices using two sets of brackets. Figure 15.4 shows this byte matrix with six 8-bit elements. The figure also shows two possible ways to map the two-dimensional data structure into the linear address space of memory.

unsigned char M[2][3]; // byte matrix with 2 rows and 3 columns

 

Figure 15.4. A byte matrix with 2 rows and 3 columns.

With row-major allocation, the elements of each row are stored together. Let i be the row index, j be the column index, n be the number of bytes in each row (equal to the number of columns), and Base is the base address of the byte matrix, then the address of the element at i,j is

                Base+n*i+j

 

With a halfword matrix, each element requires two bytes of storage. Let i be the row index, j be the column index, n be the number of halfwords in each row (equal to the number of columns), and Base is the base address of the word matrix, then the address of the element at i,j is

                Base+2*(n*i+j)

With a word matrix, each element requires four bytes of storage. Let i be the row index, j be the column index, n be the number of words in each row (equal to the number of columns), and Base is the base address of the word matrix, then the address of the element at i,j is

                Base+4*(n*i+j)

15.3.2. Buffer-based Graphics on the Nokia 5110

The size of the Nokia LCD is so small we can implement an approach called buffered graphics, which means we will maintain a complete image in RAM. When we change what the user sees we:
     1) clear, modify, fill, or draw into the RAM buffer as needed;
     2) send the entire RAM buffer to the display;
The main program sends this RAM buffer to the LCD 30 times/sec to create smooth images on the display. This is a very flexible approach to graphics because the software has complete control over every pixel in the rendered image. Consider the Nokia display as a matrix, that contains the 48 by 84 by 1-bit graphics display, see Figure 15.5.

Figure 15.5. A 1-bit matrix with 48 rows and 84 columns, each pixel is 1 bit on the Nokia 5110.

Placing a 0 into a pixel location will display that pixel in a color ranging from off (0) and a 1 is fully on. In this display, the first bit is the top left corner of the display, and the last bit is the bottom right corner. The graphical image on this 48 by 84 display will be stored in the 1-bit array called Screen. Since the Nokia 5110 has a total of 4032 pixels, and each byte can store 8 pixels, we need 504 bytes to store the entire image. In C, we define the following in global RAM,

char Screen[504]; // stores the next image to be printed on the screen

//********Nokia5110_Init*****************

// Initialize Nokia 5110 48x84 LCD by sending the proper

// commands to the PCD8544 driver. 

// inputs: none

// outputs: none

// assumes: system clock rate of 50 MHz or less

void Nokia5110_Init(void);

 

//********Nokia5110_OutChar*****************

// Print a character to the Nokia 5110 48x84 LCD.  The

// character will be printed at the current cursor position,

// the cursor will automatically be updated, and it will

// wrap to the next row or back to the top if necessary.

// One blank column of pixels will be printed on either side

// of the character for readability.  Since characters are 8

// pixels tall and 5 pixels wide, 12 characters fit per row,

// and there are six rows.

// inputs: data  character to print

// outputs: none

// assumes: LCD is in default horizontal addressing mode (V = 0)

void Nokia5110_OutChar(unsigned char data);

 

//********Nokia5110_OutString*****************

// Print a string of characters to the Nokia 5110 48x84 LCD.

// The string will automatically wrap, so padding spaces may

// be needed to make the output look optimal.

// inputs: ptr  pointer to NULL-terminated ASCII string

// outputs: none

// assumes: LCD is in default horizontal addressing mode (V = 0)

void Nokia5110_OutString(char *ptr);

 

//********Nokia5110_OutUDec*****************

// Output a 16-bit number in unsigned decimal format with a

// fixed size of five right-justified digits of output.

// Inputs: n  16-bit unsigned number

// Outputs: none

// assumes: LCD is in default horizontal addressing mode (V = 0)

void Nokia5110_OutUDec(unsigned short n);

 

//********Nokia5110_SetCursor*****************

// Move the cursor to the desired X- and Y-position.  The

// next character will be printed here.  X=0 is the leftmost

// column.  Y=0 is the top row.

// inputs: newX  new X-position of the cursor (0<=newX<=11)

//         newY  new Y-position of the cursor (0<=newY<=5)

// outputs: none

void Nokia5110_SetCursor(unsigned char newX, unsigned char newY);

 

//********Nokia5110_Clear*****************

// Clear the LCD by writing zeros to the entire screen and

// reset the cursor to (0,0) (top left corner of screen).

// inputs: none

// outputs: none

void Nokia5110_Clear(void);

 

//********Nokia5110_DrawFullImage*****************

// Fill the whole screen by drawing a 48x84 bitmap image.

// inputs: ptr  pointer to 504 byte bitmap

// outputs: none

// assumes: LCD is in default horizontal addressing mode (V = 0)

void Nokia5110_DrawFullImage(const char *ptr);

 

//********Nokia5110_PrintBMP*****************

// Bitmaps contain their header data and may contain padding

// to preserve 4-byte alignment.  This function takes a

// bitmap in the previously described format and puts its

// image data in the proper location in the buffer so the

// image will appear on the screen after the next call to

//   Nokia5110_DisplayBuffer();

// inputs: xpos      horizontal position of bottom left corner of image,

//                     columns from the left edge

//                     must be less than 84

//                     0 is on the left; 82 is near the right

//         ypos      vertical position of bottom left corner of image,

//                     rows from the top edge

//                     must be less than 48

//                     2 is near the top; 47 is at the bottom

//         ptr       pointer to a 16 color BMP image

//         threshold grayscale colors above this number make pixel 'on'

//                     0 to 14

//                0 is fine for ships, explosions, projectiles, and bunkers

// outputs: none

void Nokia5110_PrintBMP(unsigned char xpos, unsigned char ypos, const unsigned char *ptr, unsigned char threshold);

 

// There is a buffer in RAM that holds one screen

// This routine clears this buffer

void Nokia5110_ClearBuffer(void);

 

//********Nokia5110_DisplayBuffer*****************

// Fill the whole screen by drawing a 48x84 screen image.

// inputs: none

// outputs: none

// assumes: LCD is in default horizontal addressing mode (V = 0)

void Nokia5110_DisplayBuffer(void);             

Program 15.1. Functions that display images on the LCD.

                  

                     Video 15.3. Graphics on the Nokia 5110

In the game industry an entity that moves around the screen is called a sprite. You will find lots of sprites in the Lab15Files directory of the starter project. You can create additional sprites as needed using a drawing program like Paint. Most students will be able to complete the project using only the existing sprites in the starter package. Because of the way pixels are packed onto the screen, we will limit the placing of sprites to even addresses along the x-axis. Sprites can be placed at any position along the y-axis. Having a 2-pixel black border on the left and right of the image will simplify moving the sprite 2 pixels to the left and right without needing to erase it. Similarly having a 1-pixel black border on the top and bottom of the image will simplify moving the sprite 1 pixel up or down without needing to erase it. You can create your own sprites using Paint by saving the images as 16-color BMP images. Figure 15.6 is an example BMP image. Because of the black border, this image can be moved left/right 2 pixels, or up/down 1 pixel. Use the BmpConvert.exe program to convert the BMP image into a two-dimensional array that can be displayed on the LCD using the function Nokia5110_PrintBMP(). To build an interactive game, you will need to write programs for drawing and animating your sprites.

       

Figure 15.6. Example BMP file. Each is 16-color, 16 pixels wide by 10 pixels high.

 

Program 15.2 shows an example BMP file in C program format. There are 0x76 bytes of header data. At locations 0x12-0x15 is the width in little endian format. In this case (shown in blue) the width for this sprite is 16 pixels.  At locations 0x16-0x19 is the height also in little endian format.

 

const unsigned char Enemy10Point1[] = {

0x42,0x4D,0xC6,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x76,0x00,0x00,0x00,0x28,0x00,

0x00,0x00,

0x10,0x00,0x00,0x00,  // width is 16 pixels

0x0A,0x00,0x00,0x00,  // height is 16 pixels

0x01,0x00,0x04,0x00,0x00,0x00,

0x00,0x00,0x50,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,

0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x80,0x00,0x00,0x80,

0x00,0x00,0x00,0x80,0x80,0x00,0x80,0x00,0x00,0x00,0x80,0x00,0x80,0x00,0x80,0x80,

0x00,0x00,0x80,0x80,0x80,0x00,0xC0,0xC0,0xC0,0x00,0x00,0x00,0xFF,0x00,0x00,0xFF,

0x00,0x00,0x00,0xFF,0xFF,0x00,0xFF,0x00,0x00,0x00,0xFF,0x00,0xFF,0x00,0xFF,0xFF,

0x00,0x00,0xFF,0xFF,0xFF,0x00,

0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,  // bottom row

0x00,0x0F,0x00,0x00,0x00,0x00,0xF0,0x00,

0x00,0x00,0xF0,0x00,0x00,0x0F,0x00,0x00,

0x00,0x0F,0xFF,0xFF,0xFF,0xFF,0xF0,0x00,

0x00,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0x00,

0x00,0xFF,0xF0,0xFF,0xFF,0x0F,0xFF,0x00,

0x00,0xF0,0xFF,0xFF,0xFF,0xFF,0x0F,0x00,

0x00,0xF0,0x0F,0x00,0x00,0xF0,0x0F,0x00,

0x00,0x00,0xF0,0x00,0x00,0x0F,0x00,0x00,

0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00,  // top row

0xFF};

Program 15.2. Example BMP file written as a C constant allocated in ROM.

In this case (shown in red) the height for this sprite is 10 pixels. The Nokia5110_PrintBMP() function restricts the width to an even number. This function also assumes the entire image will fit onto the screen, and not stick off the side, the top, or the bottom. There is other information in the header, but it is ignored. As mentioned earlier, you must save the BMP as a 16-color image. These sixteen colors will map to the on/off format of the LCD pixels. The 4-bit color 0xF is on and the color 0x0 is off or black. The function takes a threshold parameter to decide whether the colors 1 to 14 will be on or off. Starting in position 0x76, the image data is stored as 4-bit color pixels, with two pixels packed into each byte. Program 15.1 shows the purple data with 16 pixels per line in row-major. If the width of your image is not a multiple of 16 pixels, the BMP format will pad extra bytes into each row so the number of bytes per row is always divisible by 8. In this case, no padding is needed. The Nokia5110_PrintBMP() function will automatically ignore the padding.

Figure 15.7 shows the data portion of the BMP file as one digit hex with 0’s replaced with dots. The 2-D image is stored in row-major format. Notice in Program 15.2 the image is stored up-side down. When plotting it on the screen the Nokia5110_PrintBMP() function will reverse it so it is seen right-side up.

 

................

...F........F...

....F......F....

...FFFFFFFFFF...

..FFFFFFFFFFFF..

..FFF.FFFF.FFF..

..F.FFFFFFFF.F..

..F..F....F..F..

....F......F....

................

Figure 15.7. The raw data from BMP file to illustrate how the image is stored (0s replaced with dots).

                  

                     Video 15.4. Custom image creation for the Nokia 5110

15.3.3. Demand-based Graphics on the ST7735R

Let's begin with an overview of the two functions needed to implement the game. The first function is ST7735_FillScreen, which will set the entire screen to a single color. The videos implement a black background, but any solid color would suffice. The second function is ST7735_DrawBitmap, which will draw a BMP image on the screen. Its prototype is

//------------ST7735_DrawBitmap------------
// Displays a 16-bit color BMP image.
// (x,y) is the screen location of the lower left corner of BMP image
// Requires (11 + 2*w*h) bytes of transmission (assuming image fully on screen)
// Input: x     horizontal position of the bottom left corner of the image, columns from the left edge
//        y     vertical position of the bottom left corner of the image, rows from the top edge
//        image pointer to a 16-bit color BMP image
//        w     number of pixels wide
//        h     number of pixels tall
// Output: none
// Must be less than or equal to 128 pixels wide by 160 pixels high
void ST7735_DrawBitmap(int16_t x, int16_t y, const uint16_t *image, int16_t w, int16_t h);

                  

                     Video 15.4b. Custom image creation for the ST7735R

The size of the ST7735R LCD is too large to implement buffered graphics. Each pixel has a 16-bit color, requiring 2 bytes. The LCD is 160 by 128. Therefore the image would require 160*128*2=40960 bytes, which is more than the 32,768 bytes of available RAM. Furthermore, even if you had more RAM, it would take too long to send an entire image to the LCD and it would flicker. In this section, we discus an approach called demand-based that does not require you to place an entire image in RAM. We create small static images and place them in ROM as described by the first video. The basic approach to demand based graphics to only call the function ST7735_FillScreen once at the beginning, or when transistioning from one level of the game to another. In order to eliminate flicker during game play, we will not attempt to draw large images on the screen. Our images will be small objects called sprites, where small usually means less than 20 by 20 pixels. There are two approaches to drawing sprites on the screen. Assume for now your game uses a black background. A simple approach is to make a 2-pixel black border around each sprite. If we limit the movement of each sprite to -2,-1,0,1,2 change from one frame to the next in both x and y dimensions, we can simple move the sprite by drawing it on the screen. It will automatically cover up its position from the previous frame. If we update the screen at 30 Hz, this means our maximum sprite speed is 60 pixels per second, which should be fast enough for most games If the sprite has moved since the last frame we redraw it with one call:
     1) ST7735_DrawBitmap(x,y,image,w,h);
A more flexible approach allows you to move a sprite anywhere on the screen between frames. Again assume your game uses a black background. With this approach, we make a second image the same size as the regular image, but color it all black. In this approach we explicitly cover up the sprite from the last frame by drawing a blank image in the old location. If the sprite has moved since the last frame we redraw it with two calls:
     1) ST7735_DrawBitmap(oldx,oldy,black,w,h);
     2) ST7735_DrawBitmap(newx,newy,image,w,h);
This second approach is more flexible, but runs twice as slow and may cause weird images if sprites overlap in space.

It is important not to erase the screen during normal game play. If you erase the screen 30 times/sec it will flicker badly.

15.4. Creating and playing audio

Say you want to convert a wav file (blah.wav) you want to use in your game. Here is a Matlab (or a free alternative to Matlab from GNU called Octave – http://octave.org) script file (WavConv.m) you can use to convert the wav file into a C array declaration that can be used in your code. Run the script by passing it the file as input: WavConv('blah'). That’s it, you should have a file (called blah.txt) with a declaration you can cut and paste in your code. Note that the samples are 4-bit samples to be played at 11.025kHz.


                  

                     Video 15.xx. Converting WAV files to C code

The following video shows a simple approach to sound. Timer0 periodic interrupts are used to output sounds to the DAC.

                  

                     Video 15.xx. Playing simple sound on the DAC

The following video shows a more elegant approach to sound. You can see the code at WavPlay.zip. Timer1 periodic interrupts are used to output sounds to the DAC. Edge triggered interrupts are used to start sounds. This approach also uses a structure to manage the sounds.

                  

                     Video 15.xx. Playing multiple sounds with periodic interrupt and edge triggered interrupts

15.5. Using Structures to Organizing Data

When defining the variables used to store the state of the game, we collect the attributes of a virtual object and store/group them together. In C, the struct allows us to build new data types. In the following example we define a new data type called Sprite_t that we will use to define sprites. The enumerated type defines the status of the sprite. Notice, we use signed integers so positions that end up negative are considered off the screen at the correct orientation.

typedef enum {dead,alive} status_t;
struct sprite {
  int32_t x;      // x coordinate
  int32_t y;      // y coordinate
  int32_t vx,vy;  // pixels/30Hz
  const unsigned short *image; // ptr->image
  const unsigned short *black;
  status_t life;        // dead/alive
  int32_t w; // width
  int32_t h; // height
  uint32_t needDraw; // true if need to draw
};
typedef struct sprite sprite_t;

}

Program 15.3. Example use of structures.

 

                  

                     Video 15.5a. Buffer-based graphics on the Nokia 5110

                  

                     Video 15.5b. Demand-based Graphics on the ST7735R

In C++, the class allows us to build new data types, and provide methods. In the following example we define a new class called Sprite that we will use to define sprites. The enumerated type defines the status of the sprite. Notice, we use signed integers so positions that end up negative are considered off the screen at the correct orientation.

typedef enum {dead,alive} status_t;
class Sprite {
private:
  int32_t x;      // x coordinate
  int32_t y;      // y coordinate
  int32_t vx,vy;  // pixels/30Hz
  const unsigned short *image; // ptr->image
  const unsigned short *black;
  status_t life;        // dead/alive
  int32_t w; // width
  int32_t h; // height
  uint32_t needDraw; // true if need to draw
public:
// constructor, Init, Move, Draw };

                  

                     Video 15.5c. Introduction to C++ in Lab 10, starter code

                  

                     Video 15.5d. Creating a simple sprite class for Lab 10

 

15.6. Periodic Interrupt using Timer 2A

The TM4C123 has six timers and each timer has two modules, as shown in Figure 15.8. In periodic timer mode the timer is configured as a 32-bit down-counter. When the timer counts from 1 to 0 it sets the trigger flag. On the next count, the timer is reloaded with the value in  TIMER2_TAILR_R. We select periodic timer mode by setting the 2-bit TAMR field of the TIMER2_TAMR_R to 0x02. In periodic mode the timer runs continuously.  The timers can be used to create pulse width modulated outputs and measure pulse width, period, or frequency. For more information on the timers see Chapter 6 of Volume 2 (Embedded Systems: Real-Time Interfacing to ARM® Cortex™-M Microcontrollers, 2014.)

In this section we will use Timer2A to trigger a periodic interrupt. The precision is 32 bits and the resolution will be the bus cycle time of 12.5 ns. This means we could trigger an interrupt as slow as every 232*12.5ns, which is 53 seconds.  The interrupt period will be

                                       (TIMER2_TAILR_R +1)*12.5ns

Each periodic timer module has

            A clock enable bit, bit 2 in SYSCTL_RCGCTIMER_R

            A control register, TIMER2_CTL_R (set to 0 to disable, 1 to enable)

            A configuration register, TIMER2_CFG_R (set to 0 for 32-bit mode)

            A mode register, TIMER2_TAMR_R (set to 2 for periodic mode)

            A 32-bit reload register, TIMER2_TAILR_R

            A resolution register, TIMER2_TAPR_R (set to 0 for 12.5ns)

            An interrupt clear register, TIMER2_ICR_R (bit 0)

            An interrupt arm bit, TATOIM, TIMER2_IM_R (bit 0)

            A flag bit, TATORIS, TIMER2_RIS_R (bit 0)

 

Figure 15.8. Periodic timers on the TM4C123.

 

unsigned long TimerCount;

void Timer2_Init(unsigned long period){

  unsigned long volatile delay;

  SYSCTL_RCGCTIMER_R |= 0x04;   // 0) activate timer2

  delay = SYSCTL_RCGCTIMER_R;

  TimerCount = 0;

  TIMER2_CTL_R = 0x00000000;   // 1) disable timer2A

  TIMER2_CFG_R = 0x00000000;   // 2) 32-bit mode

  TIMER2_TAMR_R = 0x00000002;  // 3) periodic mode

  TIMER2_TAILR_R = period-1;   // 4) reload value

  TIMER2_TAPR_R = 0;           // 5) clock resolution

  TIMER2_ICR_R = 0x00000001;   // 6) clear timeout flag

  TIMER2_IMR_R = 0x00000001;   // 7) arm timeout

  NVIC_PRI5_R = (NVIC_PRI5_R&0x00FFFFFF)|0x80000000;

// 8) priority 4

  NVIC_EN0_R = 1<<23;          // 9) enable IRQ 23 in

  TIMER2_CTL_R = 0x00000001;   // 10) enable timer2A

}

// trigger is Timer2A Time-Out Interrupt

// set periodically TATORIS set on rollover

void Timer2A_Handler(void){

  TIMER2_ICR_R = 0x00000001;  // acknowledge

  TimerCount++;

// run some background stuff here

}

void Timer2A_Stop(void){

  TIMER2_CTL_R &= ~0x00000001; // disable

}

void Timer2A_Start(void){

  TIMER2_CTL_R |= 0x00000001;   // enable

}

Program 15.4. Periodic interrupts using Timer2A (included in EE319K starter projects).

                  

                     Video 15.6. Timer2A

 

15.7. Random Number Generator

The starter project includes a random number generator. To learn more about this simple method for creating random numbers, do a web search for linear congruential multiplier. The random number generator in the starter file seeds the number with a constant; this means you get exactly the same random numbers each time you run the program. To make your game more random, you could seed the random number sequence using the SysTick counter that exists at the time the user first pushes a button (copy the value from NVIC_ST_CURRENT_R into the private variable M).   The problem with LCG functions is the least significant bits go through very short cycles. For example

    bit 0 has a cycle length of 2, repeating the pattern 0,1,....
    bit 1 has a cycle length of 4, repeating the pattern 0,0,1,1,....
    bit 2 has a cycle length of 8, repeating the pattern 0,1,0,0,1,0,1,1,....

Therefore using the lower order bits is not recommended. For example

  n = Random()&0x03;   // has the short repeating pattern 1 0 3 2

  m = Random()&0x07;   // has the short repeating pattern 0 7 2 1 4 3 6 5

You will need to extend this random number module to provide random numbers as needed for your game. For example, if you wish to generate a random number between 1 and 5, you could define this function

 unsigned long Random5(void){

  return ((Random()>>24)%5)+1;  // returns 1, 2, 3, 4, or 5

}

 

Using bits 31-24 of the number will produce a random number sequence with a cycle length of 224. Seeding it with 1 will create the exact same sequence each execution. If you wish different results each time, seed it once after a button has been pressed for the first time, assuming SysTick is running

   Seed(NVIC_ST_CURRENT_R);

15.8. First-In-First-Out (FIFO) Queue

The first in first out circular queue (FIFO) is useful for data flow situations, as shown the following figure. These data structures can be used to link a source process (the producer is hardware/software that generates data) to a sink process (the consumer is hardware/software that consumes data.) In both cases the data is order-preserving, such that the order in which data is saved equals the order in which it is retrieved. There are many producer-consumer applications.

Figure 15.xx. FIFO queues can be used to pass data from a producer to a consumer.

You can download and run the project from FiFo.zip.

                  

                     Video 15.7. First in first out queue

#define FIFO_SIZE 7
static uint8_t PutI;  // index to put new
static uint8_t GetI;  // index of oldest
static char Fifo[FIFO_SIZE];
void Fifo_Init(){
  PutI = GetI = 0;  // empty
}
uint8_t Fifo_Put(char data){
  if(((PutI+1)%FIFO_SIZE) == GetI) return 0; // fail if full
  Fifo[PutI] = data;         // save in Fifo
  PutI = (PutI+1)%FIFO_SIZE; // next place to put
  return 1;
}
uint8_t Fifo_Get(char *datapt){
  if(GetI == PutI) return 0; // fail if empty
  *datapt = Fifo[GetI];      // retrieve data
  GetI = (GetI+1)%FIFO_SIZE; // next place to get
  return 1;
}

Program 15.xx. Implementation of a two-index FIFO

The next video shows you how to implement the FIFO in C++

                  

                     Video 15.8. First in first out queue in C++

In the following video, there is a data acquisition system where data are produced at 1000 samples per second, or one point per ms. Since the data acquisition is interrupt driven, the instantaneous and the average producer rate is exaqctly 1000 samples/sec. With software averaging, 100 data points are averaged, and every 100ms the average is displayed on the LCD screen. The time to display the average is 6 ms, so it takes 6 ms to consume 100 samples. The average consumer rate is 100/6ms, or 16667 samples/sec. Every 100th point it takes 6ms, and the other 99 points are on the order of about 10us. Therefore, the instantaneous consumer rate varies from a low of 1/6ms(17 samples/sec) to a high of 1/10us (100,000 samples/sec). Since the average producer rate is less than the average consumer rate, the system has a solution. However, a FIFO is needed to prevent data loss during the 6ms it takes to do the LCD output. The next video shows how a FIFO can be used to prevent data loss in this typical application.

                  

                     Video 15.9. Using a First in first out queue in a data acquisition system

void SysTick_Handler(void){ // 1000 Hz sampling, interrupt every 1 ms
  uint16_t data = ADC_In(); // new data
  Fifo_Put(data); // save data
}
int main(void){uint32_t sum=0,n=0,p;
uint16_t d;
  Init();     // other initialization
  Fifo_Init();// this fifo passes 16-bit data
  while(1){
    while(Fifo_Get(&d)==0){};
    sum = sum+d; // average
    n = n+1;  
    if(n == 100){// output every 100th sample
      p = Convert(sum/100);
      LCD_OutFix(p);
      sum = n = 0;
    }
  }
}

Program 15.xx. Using a First in first out queue in a data acquisition system

15.9. Summary and Best Practices

As we bring this class to a close, we thought we'd review some of the important topics and end with a list of best practices. Most important topics, of course, became labs. So, let's review what we learned.

Embedded Systems encapsulate physical, electrical and software components to create a device with a dedicated purpose. In this class, we assumed the device was controlled by a single chip computer hidden inside. A single chip computer includes a processor, memory, and I/O and is called a microcontroller. The TM4C123 was our microcontroller, which is based on the ARM Cortex M4 processor.

Systems are constructed by components, connected together with interfaces. Therefore all engineering design involves either a component or an interface. The focus of this class has been the interface, which includes hardware and software so information can flow into or out of the computer. A second focus of this class has been time. In embedded system it was not only important to get the right answer, but important to get it at the correct time. Consequently, we saw a rich set of features to measure time and control the time events occurred.

We learned the tasks performed by a computer: collect inputs, perform calculations, make decisions, store data, and affect outputs. The microcontroller used ROM to store programs and constants, and RAM to store data. ROM is nonvolatile, so it retains its information when power is removed and then restored. RAM is volatile, meaning its data is lost when power is removed.

We wrote our software in C, which is a structured language meaning there are just a few simple building blocks with which we create software: sequence, if-then and while-loop. First, we organized software into functions, and then we collected functions and organized them in modules. Although programming itself was not the focus of this class, you were asked to write and debug a lot of software.  We saw four mechanisms to represent data in the computer. A variable was a simple construct to hold one number. We grouped multiple data of the same type into an array. We stored variable-length ASCII characters in a string, which had a null-termination. During the FSM (Lab 5) and again in the game (Lab 10) we used structs to group multiple elements of different types into one data object.  In this chapter, we introduced two-dimensional arrays as a means to represent graphical images.

The focus of this class was on the input/output performed by the microcontroller. We learned that parallel ports allowed multiple bits to be input or output at the same time. Digital input signals came from sensors like switches and keyboards. The software performed input by reading from input registers, allowing the software to sense conditions occurring outside of the computer. For example, the software could detect whether or not a switch is pressed. Digital outputs went to lights and motors. We could toggle the outputs to flash LEDs, make sound or control motors. When performing port input/output the software reads from and writes to I/O registers. In addition to the registers used to input/output most ports have multiple registers that we use to configure the port. For example, we used direction registers to specify whether a pin was an input or output.

We saw two types of serial input/output, UART and SSI. Serial I/O means we transmit and receive one bit at a time. There are two reasons serial communication is important. First, serial communication has fewer wires so it is less expensive and occupies less space than parallel communication. Second, it turns out, if distance is involved, serial communication is faster and more reliable. Parallel communication protocols are all but extinct: parallel printer, SCSI, IEEE488, and parallel ATA are examples of obsolete parallel protocols, where 8 to 32 bits are transmitted at the same time. However, two examples of parallel communication persist: memory to processor interfaces, and the PCI graphics card interface. In this class, we used the UART to communicate between computers. The UART protocol is classified as asynchronous because the cable did not include the clock. We used the SSI to communicate between the microcontroller and the Nokia display. The SSI protocol is classified as synchronous because the clock was included in the cable. Although this course touched on two of the simplest protocols, serial communication is ubiquitous in the computer field, including Ethernet, CAN, SATA, FireWire, Thunderbolt, HDMI, and wireless.

While we are listing I/O types, let's include two more: analog and time. The essence of sampling is to represent continuous signals in the computer as discrete digital numbers sampled at finite time intervals. The Nyquist Theorem states that if we sample data at frequency fs, then the data can faithfully represent information with frequency components 0 to ½ fs. We built and used the DAC to convert digital numbers into analog voltages. By outputting a sequence of values to the DAC we created waveform outputs. When we connected the DAC output to headphones, the system was able to create sounds. Parameters of the DAC included precision, resolution, range and speed. We used the ADC to convert analog signals into digital form. Just like the DAC, we used the Nyquist Theorem to choose the ADC sampling rate. If we were interested in processing a signal that could oscillate up to f times per second, then we must choose a sampling rate greater than 2f. Parameters of the ADC also included precision, resolution, range and speed.

One of the factors that make embedded systems so pervasive is their ability to measure, control and manipulate time. Our TM4C123 had a timer called SysTick. We used SysTick three ways in this class. First, we used SysTick to measure elapsed time by reading the counter before and after a task. Second, we used SysTick to control how often software was executed. In Lab 10, we used it to create accurate time delays, and then in Labs 12-15, we used SysTick to create periodic interrupts. Interrupts allowed software tasks could be executed at a regular rate. Lastly, we used SysTick to create pulse width modulated (PWM) signals. The PWM outputs gave our software the ability to adjust power delivered to the DC motors.

In general, interrupts allow the software to operate on multiple tasks concurrently. For example, in your game you could use one periodic interrupt to move the sprites, a second periodic interrupt to play sounds, and edge-triggered interrupts to respond to the buttons. A fourth task is the main program, which outputs graphics to the LCD display.

One of the pervasive themes of this class was how the software interacted with the hardware. In particular, we developed three ways to synchronize quickly executing software with slowly reacting hardware device. The first technique was called blind. With blind synchronization the software executed a task, blindly waited a fixed amount of time, and then executed another tasks. The LED output in Lab 3 was an example of blind synchronization. The second technique was called busy wait. With busy-wait synchronization, there was a status bit in the hardware that the software could poll. In this way the software could perform an operation and wait for the hardware to complete. The UART I/O, and the ADC input in Lab 8 were examples of busy-wait synchronization. The third method was interrupts.  With interrupt synchronization, there is a hardware status flag, but we arm the flag to cause an interrupt. In this way, the interrupt is triggered whenever the software has a task to perform. In Labs 6, 8, and 10 we used SysTick interrupts to execute a software task at a regular rate. In Lab 10, we saw that interrupts could be triggered on rising or falling edges of digital inputs. In this chapter we added more periodic interrupts using the timers.  Embedded systems must respond to external events. Latency is defined as the elapsed time from a request to its service. A real-time system, one using interrupts, guarantees the latency to be small and bounded. By the way, there is a fourth synchronization technique not discussed in this class called direct memory access (DMA). With DMA synchronization, data flows directly from an input device into memory or from memory to an output device without having to wait on or trigger software.

When synchronizing one software task with another software tasks we used semaphores, mailboxes, and FIFO queues. Global memory was required to pass data or status between interrupt service routines and the main program. A semaphore is a global flag that is set by one software task and read by another. When we added a data variable to the flag, it became a mailbox. The FIFO queue is an order-preserving data structure used to stream data in a continuous fashion from one software task to another. You should have noticed that most of the I/O devices on the microcontroller also use FIFO queues to stream data: the UART, SSI and ADC also employ hardware FIFO queues in the data stream.

Another pervasive theme of this class was debugging or testing. The entire objective of Lab 4 was for you to learn debugging techniques. However, each of the labs had a debugging component. A benefit of you interacting with the automatic graders in the class was that it allowed us to demonstrate to you how we would test lab assignments. For example, the Lab 10 grader would complain if you moved a light from green to red without first moving through yellow. Question: How does the automatic graders in the Exam2 projects work? Answer: It first sets the input parameter, then it dumps your I/O data into a buffer, and then looks to see if your I/O data makes sense.

Furthermore, you had the opportunity to use test equipment such as a voltmeter (PD3+TExaS), logic analyzer (Keil simulation), and oscilloscope (PD3+TExaSdisplay). Other debugging tools you used included heartbeats, dumps, breakpoints, and single stepping. Intrusiveness is the level at which the debugging itself modifies the system you are testing. One of the most powerful debugging skills you have learned is to connect unused output pins to a scope or logic analyzer so that you could profile your real-time system. A profile describes when and where our software is executing. Debugging is not a process we perform after a system is built; rather it is a way of thinking we consider at all phases of a design. Debugging is like solving a mystery, where you have to ask the right questions and interpret the responses. Remember the two keys to good debugging: control and observability.

Although this was just an introductory class, we hope you gained some insight into the design process. The requirements document defines the scope, purpose, and expected outcomes. We hope you practice the skills you learned in this class to design a fun game to share with friends and classmates.

 

Our parting thoughts about best practices (in no particular order of importance):

Here are thoughts about things to remember when designing or building embedded systems, in no particular order of importance:

 

 

 

 

Reprinted with approval from Embedded Systems: Introduction to ARM Cortex-M Microcontrollers, 2014, ISBN: 978-1477508992, http://users.ece.utexas.edu/~valvano/arm/outline1.htm

and from Embedded Systems: Real-Time Interfacing to ARM® Cortex™-M Microcontrollers, 2014, ISBN: 978-1463590154, http://users.ece.utexas.edu/~valvano/arm/outline.htm

 

Creative Commons License
Embedded Systems - Shape the World by Jonathan Valvano and Ramesh Yerraballi is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Based on a work at http://users.ece.utexas.edu/~valvano/arm/outline1.htm.