bsdasm
bsdasm
来源 http://www.int80h.org/bsdasm/
Preface
by G. Adam Stanislav
Whiz Kid Technomagic
Assembly language programing under Unix is highly undocumented. It is generally assumed that no one would ever want to use it because various Unix systems run on different microprocessors, so everything should be written in C for portability.
In reality, C portability is quite a myth. Even C programs need to be modified when ported from one Unix to another, regardless of what processor each runs on. Typically, such a program is full of conditional statements depending on the system it is compiled for.
Even if we believe that all of Unix software should be written in C, or some other high-level language, we still need assembly language programmers: Who else would write the section of C library that accesses the kernel?
In this tutorial I will attempt to show you how you can use assembly language writing Unix programs, specifically under FreeBSD.
This tutorial does not explain the basics of assembly language. There are enough resources about that (for a complete online course in assembly language, see Randall Hyde’s Art of Assembly Language; or if you prefer a printed book, take a look at Jeff Duntemann’s Assembly Language Step-by-Step). However, once the tutorial is finished, any assembly language programmer will be able to write programs for FreeBSD quickly and efficiently.
Chapter 1 – The Tools
1.1. The Assembler
The most important tool for assembly language programming is the assembler, the software that converts assembly language code into machine language.
Two very different assemblers are available for FreeBSD. One is as(1), which uses the traditional Unix assembly language syntax. It comes with the system.
The other is /usr/ports/devel/nasm. It uses the Intel syntax. Its main advantage is that it can assemble code for many operating systems. It needs to be installed separately, but is completely free.
This tutorial uses nasm syntax because most assembly language programmers coming to FreeBSD from other operating systems will find it easier to understand. And, because, quite frankly, that is what I am used to.
1.2. The Linker
The output of the assembler, like that of any compiler, needs to be linked to form an executable file.
The standard ld(1) linker comes with FreeBSD. It works with the code assembled with either assembler.
Chapter 2 – System Calls
2.1. Default Calling Convention
By default, the FreeBSD kernel uses the C calling convention. Further, although the kernel is accessed using int 80h
, it is assumed the program will call a function that issues int 80h
, rather than issuing int 80h
directly.
This convention is very convenient, and quite superior to the Microsoft convention used by MS DOS. Why? Because the Unix convention allows any program written in any language to access the kernel.
An assembly language program can do that as well. For example, we could open a file:
kernel: |
This is a very clean and portable way of coding. If you need to port the code to a Unix system which uses a different interrupt, or a different way of passing parameters, all you need to change is the kernel procedure.
But assembly language programmers like to shave off cycles. The above example requires a call/ret
combination. We can eliminate it by push
ing an extra dword:
open: |
The 5
that we have placed in EAX
identifies the kernel function, in this case open
.
2.2. Alternate Calling Convention
FreeBSD is an extremely flexible system. It offers other ways of calling the kernel. For it to work, however, the system must have Linux emulation installed.
Linux is a Unix-like system. However, its kernel uses the Microsoft system-call convention of passing parameters in registers. As with the Unix convention, the function number is placed in EAX
. The parameters, however, are not passed on the stack but in EBX, ECX, EDX, ESI, EDI, EBP
:
open: |
This convention has a great disadvantage over the Unix way, at least as far as assembly language programming is concerned: Every time you make a kernel call you must push
the registers, then pop
them later. This makes your code bulkier and slower. Nevertheless, FreeBSD gives you a choice.
If you do choose the Microsoft/Linux convention, you must let the system know about it. After your program is assembled and linked, you need to brand the executable:
% brandelf -f Linux filename |
2.3. Which Convention Should You Use?
If you are coding specifically for FreeBSD, you should always use the Unix convention: It is faster, you can store global variables in registers, you do not have to brand the executable, and you do not impose the installation of the Linux emulation package on the target system.
If you want to create portable code that can also run on Linux, you will probably still want to give the FreeBSD users as efficient a code as possible. I will show you how you can accomplish that after I have explained the basics.
2.4. Call Numbers
To tell the kernel which system service you are calling, place its number in EAX
. Of course, you need to know what the number is.
2.4.1. The syscalls File
The numbers are listed in syscalls. locate syscalls finds this file in several different formats, all produced automatically from syscalls.master.
You can find the master file for the default Unix calling convention in /usr/src/sys/kern/syscalls.master. If you need to use the other convention implemented in the Linux emulation mode, read /usr/src/sys/i386/linux/syscalls.master.
N.B.: Not only do FreeBSD and Linux use different calling conventions, they sometimes use different numbers for the same functions.
syscalls.master describes how the call is to be made:
0 STD NOHIDE { int nosys(void); } syscall nosys_args int |
It is the leftmost column that tells us the number to place in EAX
.
The rightmost column tells us what parameters to push
. They are push
ed from right to left.
EXAMPLE 2.1: For example, to
open
a file, we need topush
themode
first, thenflags
, then the address at which thepath
is stored.
Chapter 3 – Return Values
A system call would not be useful most of the time if it did not return some kind of a value: The file descriptor of an open file, the number of bytes read to a buffer, the system time, etc.
Additionally, the system needs to inform us if an error occurs: A file does not exist, system resources are exhausted, we passed an invalid parameter, etc.
3.1. Man Pages
The traditional place to look for information about various system calls under Unix systems are the man pages. FreeBSD describes its system calls in section 2, sometimes in section 3.
For example, open(2) says:
If successful,
open()
returns a non-negative integer, termed a file descriptor. It returns-1
on failure, and setserrno
to indicate the error.
The assembly language programmer new to Unix and FreeBSD will immediately ask the puzzling question: Where is errno
and how do I get to it?
N.B.: The information presented in the man pages applies to C programs. The assembly language programmer needs additional information.
3.2. Where Are the Return Values?
Unfortunately, it depends... For most system calls it is in EAX
, but not for all. A good rule of thumb, when working with a system call for the first time, is to look for the return value in EAX
. If it is not there, you need further research.
N.B.: I am aware of one system call that returns the value in
EDX
:SYS_fork
. All others I have worked with useEAX
. But I have not worked with them all yet.
TIP: If you cannot find the answer here or anywhere else, study libc source code and see how it interfaces with the kernel.
3.3. Where Is errno
?
Actually, nowhere...
errno
is part of the C language, not the Unix kernel. When accessing kernel services directly, the error code is returned in EAX
, the same register the proper return value generally ends up in.
This makes perfect sense. If there is no error, there is no error code. If there is an error, there is no return value. One register can contain either.
3.4. Determining an Error Occurred
When using the standard FreeBSD calling convention, the carry flag
is cleared upon success, set upon failure.
When using the Linux emulation mode, the signed value in EAX
is non-negative upon success, and contains the return value. In case of an error, the value is negative, i.e., -errno
.
Chapter 4 – Creating Portable Code
Portability is generally not one of the strengths of assembly language. Yet, writing assembly language programs for different platforms is possible, especially with nasm. I have written assembly language libraries that can be assembled for such different operating systems as Windows and FreeBSD.
It is all the more possible when you want your code to run on two platforms which, while different, are based on similar architectures.
For example, FreeBSD is Unix, Linux is Unix-like. I only mentioned three differences between them (from an assembly language programmer’s perspective): The calling convention, the function numbers, and the way of returning values.
4.1. Dealing with Function Numbers
In many cases the function numbers are the same. However, even when they are not, the problem is easy to deal with: Instead of using numbers in your code, use constants which you have declared differently depending on the target architecture:
%ifdef LINUX |
4.2. Dealing with Conventions
Both, the calling convention, and the return value (the errno
problem) can be resolved with macros:
%ifdef LINUX %macro system 0 |
4.3. Dealing with Other Portability Issues
The above solutions can handle most cases of writing code portable between FreeBSD and Linux. Nevertheless, with some kernel services the differences are deeper.
In that case, you need to write two different handlers for those particular system calls, and use conditional assembly. Luckily, most of your code does something other than calling the kernel, so usually you will only need a few such conditional sections in your code.
4.4. Using a Library
You can avoid portability issues in your main code altogether by writing a library of system calls. Create a separate library for FreeBSD, a different one for Linux, and yet other libraries for more operating systems.
In your library, write a separate function (or procedure, if you prefer the traditional assembly language terminology) for each system call. Use the C calling convention of passing parameters. But still use EAX
to pass the call number in. In that case, your FreeBSD library can be very simple, as many seemingly different functions can be just labels to the same code:
sys.open: |
Your Linux library will require more different functions. But even here you can group system calls using the same number of parameters:
sys.exit: |
The library approach may seem inconvenient at first because it requires you to produce a separate file your code depends on. But it has many advantages: For one, you only need to write it once and can use it for all your programs. You can even let other assembly language programmers use it, or perhaps use one written by someone else. But perhaps the greatest advantage of the library is that your code can be ported to other systems, even by other programmers, by simply writing a new library without any changes to your code.
If you do not like the idea of having a library, you can at least place all your system calls in a separate assembly language file and link it with your main program. Here, again, all porters have to do is create a new object file to link with your main program.
4.5. Using an Include File
If you are releasing your software as (or with) source code, you can use macros and place them in a separate file, which you include in your code.
Porters of your software will simply write a new include file. No library or external object file is necessary, yet your code is portable without any need to edit the code.
N.B.: This is the approach we will use throughout this tutorial. We will name our include file system.inc, and add to it whenever we deal with a new system call.
We can start our system.inc by declaring the standard file descriptors:
%define stdin 0 |
Next, we create a symbolic name for each system call:
%define SYS_nosys 0 |
We add a short, non-global procedure with a long name, so we do not accidentally reuse the name in our code:
section .text |
We create a macro which takes one argument, the syscall number:
%macro system 1 |
Finally, we create macros for each syscall. These macros take no arguments.
%macro sys.exit 0 |
Go ahead, enter it into your editor and save it as system.inc. We will add more to it as we discuss more syscalls.
Chapter 5 – Our First Program
We are now ready for our first program, the mandatory Hello, World!
1: %include 'system.inc' |
Here is what it does: Line 1 includes the defines, the macros, and the code from system.inc.
Lines 3-5 are the data: Line 3 starts the data section/segment. Line 4 contains the string "Hello, World!" followed by a new line (0Ah
). Line 5 creates a constant that contains the length of the string from line 4 in bytes.
Lines 7-16 contain the code. Note that FreeBSD uses the elf file format for its executables, which requires every program to start at the point labeled _start
(or, more precisely, the linker expects that). This label has to be global.
Lines 10-13 ask the system to write hbytes
bytes of the hello
string to stdout
.
Lines 15-16 ask the system to end the program with the return value of 0
. The SYS_exit
syscall never returns, so the code ends there.
N.B.: If you have come to Unix from MS DOS assembly language background, you may be used to writing directly to the video hardware. You will never have to worry about this in FreeBSD, or any other flavor of Unix. As far as you are concerned, you are writing to a file known as stdout. This can be the video screen, or a telnet terminal, or an actual file, or even the input of another program. Which one it is, is for the system to figure out.
5.1. Assembling the Code
Type the code (except the line numbers) in an editor, and save it in a file named hello.asm. You need nasm to assemble it.
5.1.1. Installing nasm
If you do not have nasm, type:
% su |
You may type make install clean instead of just make install if you do not want to keep nasm source code.
Either way, FreeBSD will automatically download nasm from the Internet, compile it, and install it on your system.
N.B.: If your system is not FreeBSD, you need to get nasm from its home page. You can still use it to assemble FreeBSD code.
Now you can assemble, link, and run the code:
% nasm -f elf hello.asm |
Chapter 6 – Writing Unix Filters
A common type of Unix application is a filter—a program that reads data from the stdin, processes it somehow, then writes the result to stdout.
In this chapter, we shall develop a simple filter, and learn how to read from stdin and write to stdout. This filter will convert each byte of its input into a hexadecimal number followed by a blank space.
%include 'system.inc' section .data |
In the data section we create an array called hex
. It contains the 16 hexadecimal digits in ascending order. The array is followed by a buffer which we will use for both input and output. The first two bytes of the buffer are initially set to 0
. This is where we will write the two hexadecimal digits (the first byte also is where we will read the input). The third byte is a space.
The code section consists of four parts: Reading the byte, converting it to a hexadecimal number, writing the result, and eventually exiting the program.
To read the byte, we ask the system to read one byte from stdin, and store it in the first byte of the buffer
. The system returns the number of bytes read in EAX
. This will be 1
while data is coming, or 0
, when no more input data is available. Therefore, we check the value of EAX
. If it is 0
, we jump to .done
, otherwise we continue.
N.B.: For simplicity sake, we are ignoring the possibility of an error condition at this time.
The hexadecimal conversion reads the byte from the buffer
into EAX
, or actually just AL
, while clearing the remaining bits of EAX
to zeros. We also copy the byte to EDX
because we need to convert the upper four bits (nibble) separately from the lower four bits. We store the result in the first two bytes of the buffer.
Next, we ask the system to write the three bytes of the buffer, i.e., the two hexadecimal digits and the blank space, to stdout. We then jump back to the beginning of the program and process the next byte.
Once there is no more input left, we ask the system to exit our program, returning a zero, which is the traditional value meaning the program was successful.
Go ahead, and save the code in a file named hex.asm, then type the following (the ^D means press the control key and type D while holding the control key down):
% nasm -f elf hex.asm |
N.B.: If you are migrating to Unix from MS DOS, you may be wondering why each line ends with
0A
instead of0D 0A
. This is because Unix does not use the cr/lf convention, but a “new line” convention, which is0A
in hexadecimal.
Can we improve this? Well, for one, it is a bit confusing because once we have converted a line of text, our input no longer starts at the begining of the line. We can modify it to print a new line instead of a space after each 0A
:
%include 'system.inc' section .data |
We have stored the space in the CL
register. We can do this safely because, unlike Microsoft Windows, Unix system calls do not modify the value of any register they do not use to return a value in.
That means we only need to set CL
once. We have, therefore, added a new label .loop
and jump to it for the next byte instead of jumping at _start
. We have also added the .hex
label so we can either have a blank space or a new line as the third byte of the buffer
.
Once you have changed hex.asm to reflect these changes, type:
% nasm -f elf hex.asm |
That looks better. But this code is quite inefficient! We are making a system call for every single byte twice (once to read it, another time to write the output).
Chapter 7 – Buffered Input and Output
We can improve the efficiency of our code by buffering our input and output. We create an input buffer and read a whole sequence of bytes at one time. Then we fetch them one by one from the buffer.
We also create an output buffer. We store our output in it until it is full. At that time we ask the kernel to write the contents of the buffer to stdout.
The program ends when there is no more input. But we still need to ask the kernel to write the contents of our output buffer to stdout one last time, otherwise some of our output would make it to the output buffer, but never be sent out. Do not forget that, or you will be wondering why some of your output is missing.
%include 'system.inc' %define BUFSIZE 2048 section .data |
We now have a third section in the source code, named .bss
. This section is not included in our executable file, and, therefore, cannot be initialized. We use resb
instead of db
. It simply reserves the requested size of uninitialized memory for our use.
We take advantage of the fact that the system does not modify the registers: We use registers for what, otherwise, would have to be global variables stored in the .data
section. This is also why the Unix convention of passing parameters to system calls on the stack is superior to the Microsoft convention of passing them in the registers: We can keep the registers for our own use.
We use EDI
and ESI
as pointers to the next byte to be read from or written to. We use EBX
and ECX
to keep count of the number of bytes in the two buffers, so we know when to dump the output to, or read more input from, the system.
Let us see how it works now:
% nasm -f elf hex.asm |
Not what you expected? The program did not print the output until we pressed ^D. That is easy to fix by inserting three lines of code to write the output every time we have converted a new line to 0A
. I have marked the three lines with > (do not copy the > in your hex.asm).
%include 'system.inc' %define BUFSIZE 2048 section .data |
Now, let us see how it works:
% nasm -f elf hex.asm |
Not bad for a 644-byte executable, is it!
N.B.: This approach to buffered input/output still contains a hidden danger. I will discuss—and fix—it later, when I talk about the dark side of buffering.
7.1. How to Unread a Character
WARNING: This may be a somewhat advanced topic, mostly of interest to programmers familiar with the theory of compilers. If you wish, you may skip to the next chapter, and perhaps read this later.
While our sample program does not require it, more sophisticated filters often need to look ahead. In other words, they may need to see what the next character is (or even several characters). If the next character is of a certain value, it is part of the token currently being processed. Otherwise, it is not.
For example, you may be parsing the input stream for a textual string (e.g., when implementing a language compiler): If a character is followed by another character, or perhaps a digit, it is part of the token you are processing. If it is followed by white space, or some other value, then it is not part of the current token.
This presents an interesting problem: How to return the next character back to the input stream, so it can be read again later?
One possible solution is to store it in a character variable, then set a flag. We can modify getchar
to check the flag, and if it is set, fetch the byte from that variable instead of the input buffer, and reset the flag. But, of course, that slows us down.
The C language has an ungetc()
function, just for that purpose. Is there a quick way to implement it in our code? I would like you to scroll back up and take a look at the getchar
procedure and see if you can find a nice and fast solution before reading the next paragraph. Then come back here and see my own solution.
The key to returning a character back to the stream is in how we are getting the characters to start with:
First we check if the buffer is empty by testing the value of EBX
. If it is zero, we call the read
procedure.
If we do have a character available, we use lodsb
, then decrease the value of EBX
. The lodsb
instruction is effectively identical to:
mov al, [esi] |
The byte we have fetched remains in the buffer until the next time read
is called. We do not know when that happens, but we do know it will not happen until the next call to getchar
. Hence, to “return” the last-read byte back to the stream, all we have to do is decrease the value of ESI
and increase the value of EBX
:
ungetc: |
But, be careful! We are perfectly safe doing this if our look-ahead is at most one character at a time. If we are examining more than one upcoming character and call ungetc
several times in a row, it will work most of the time, but not all the time (and will be tough to debug). Why?
Because as long as getchar
does not have to call read
, all of the pre-read bytes are still in the buffer, and our ungetc
works without a glitch. But the moment getchar
calls read
, the contents of the buffer change.
We can always rely on ungetc
working properly on the last character we have read with getchar
, but not on anything we have read before that.
If your program reads more than one byte ahead, you have at least two choices:
If possible, modify the program so it only reads one byte ahead. This is the simplest solution.
If that option is not available, first of all determine the maximum number of characters your program needs to return to the input stream at one time. Increase that number slightly, just to be sure, preferably to a multiple of 16—so it aligns nicely. Then modify the .bss
section of your code, and create a small “spare” buffer right before your input buffer, something like this:
section .bss |
You also need to modify your ungetc
to pass the value of the byte to unget in AL
:
ungetc: |
With this modification, you can call ungetc
up to 17 times in a row safely (the first call will still be within the buffer, the remaining 16 may be either within the buffer or within the “spare”).
Chapter 8 – Command Line Arguments
Our hex program will be more useful if it can read the names of an input and output file from its command line, i.e., if it can process the command line arguments. But... Where are they?
Before a Unix system starts a program, it push
es some data on the stack, then jumps at the _start
label of the program. Yes, I said jumps, not calls. That means the data can be accessed by reading [esp+offset]
, or by simply pop
ping it.
The value at the top of the stack contains the number of command line arguments. It is traditionally called argc
, for “argument count.”
Command line arguments follow next, all argc
of them. These are typically referred to as argv
, for “argument value(s).” That is, we get argv[0]
, argv[1]
, ...
, argv[argc-1]
. These are not the actual arguments, but pointers to arguments, i.e., memory addresses of the actual arguments. The arguments themselves are NUL-terminated character strings.
The argv
list is followed by a NULL pointer, which is simply a 0
. There is more, but this is enough for our purposes right now.
N.B.: If you have come from the MS DOS programming environment, the main difference is that each argument is in a separate string. The second difference is that there is no practical limit on how many arguments there can be.
Armed with this knowledge, we are almost ready for the next version of hex.asm. First, however, we need to add a few lines to system.inc:
First, we need to add two new entries to our list of system call numbers:
%define SYS_open 5 |
Then we add two new macros at the end of the file:
%macro sys.open 0 |
Here, then, is our modified source code:
%include 'system.inc' %define BUFSIZE 2048 section .data |
In our .data
section we now have two new variables, fd.in
and fd.out
. We store the input and output file descriptors here.
In the .text
section we have replaced the references to stdin
and stdout
with [fd.in]
and [fd.out]
.
The .text
section now starts with a simple error handler, which does nothing but exit the program with a return value of 1
. The error handler is before _start
so we are within a short distance from where the errors occur.
Naturally, the program execution still begins at _start
. First, we remove argc
and argv[0]
from the stack: They are of no interest to us (in this program, that is).
We pop argv[1]
to ECX
. This register is particularly suited for pointers, as we can handle NULL pointers with jecxz
. If argv[1]
is not NULL, we try to open the file named in the first argument. Otherwise, we continue the program as before: Reading from stdin
, writing to stdout
. If we fail to open the input file (e.g., it does not exist), we jump to the error handler and quit.
If all went well, we now check for the second argument. If it is there, we open the output file. Otherwise, we send the output to stdout
. If we fail to open the output file (e.g., it exists and we do not have the write permission), we, again, jump to the error handler.
The rest of the code is the same as before, except we close the input and output files before exiting, and, as mentioned, we use [fd.in]
and [fd.out]
.
Our executable is now a whopping 768 bytes long.
Can we still improve it? Of course! Every program can be improved. Here are a few ideas of what we could do:
Have our error handler print a message to
stderr
.Add error handlers to the
read
andwrite
functions.Close
stdin
when we open an input file,stdout
when we open an output file.Add command line switches, such as
-i
and-o
, so we can list the input and output files in any order, or perhaps read fromstdin
and write to a file.Print a usage message if command line arguments are incorrect.
I shall leave these enhancements as an exercise to the reader: You already know everything you need to know to implement them.
Chapter 9 – Unix Environment
An important Unix concept is the environment, which is defined by environment variables. Some are set by the system, others by you, yet others by the shell, or any program that loads another program.
9.1. How to Find Environment Variables
I said earlier that when a program starts executing, the stack contains argc
followed by the NULL-terminated argv
array, followed by something else. The “something else” is the environment, or, to be more precise, a NULL-terminated array of pointers to environment variables. This is often referred to as env
.
The structure of env
is the same as that of argv
, a list of memory addresses followed by a NULL (0
). In this case, there is no “envc”
—we figure out where the array ends by searching for the final NULL.
The variables usually come in the name=value
format, but sometimes the =value
part may be missing. We need to account for that possibility.
9.2. webvars
I could just show you some code that prints the environment the same way the Unix env command does. But I thought it would be more interesting to write a simple assembly language CGI utility.
9.2.1. CGI: A Quick Overview
I have a detailed CGI tutorial on my web site, but here is a very quick overview of CGI:
The web server communicates with the CGI program by setting environment variables.
The CGI program sends its output to stdout. The web server reads it from there.
It must start with an HTTP header followed by two blank lines.
It then prints the HTML code, or whatever other type of data it is producing.
N.B.: While certain environment variables use standard names, others vary, depending on the web server. That makes webvars quite a useful diagnostic tool.
9.2.2. The Code
Our webvars program, then, must send out the HTTP header followed by some HTML mark-up. It then must read the environment variables one by one and send them out as part of the HTML page.
The code follows. I placed comments and explanations right inside the code:
;;;;;;; webvars.asm ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; |
This code produces a 1,396-byte executable. Most of it is data, i.e., the HTML mark-up we need to send out.
Assemble and link it as usual:
% nasm -f elf webvars.asm |
To use it, you need to upload webvars to your web server. Depending on how your web server is set up, you may have to store it in a special cgi-bin directory, or perhaps rename it with a .cgi extension.
Then you need to use your browser to view its output. To see its output on my web server, please go to http://www.int80h.org/webvars/. If curious about the additional environment variables present in a password protected web directory, go to http://www.int80h.org/private/, using the name asm and password programmer.
Chapter 10 – Working with Files
We have already done some basic file work: We know how to open and close them, how to read and write them using buffers. But Unix offers much more functionality when it comes to files. We will examine some of it in this section, and end up with a nice file conversion utility.
Indeed, let us start at the end, that is, with the file conversion utility. It always makes programming easier when we know from the start what the end product is supposed to do.
One of the first programs I wrote for Unix was tuc, a text-to-Unix file converter. It converts a text file from other operating systems to a Unix text file. In other words, it changes from different kind of line endings to the newline convention of Unix. It saves the output in a different file. Optionally, it converts a Unix text file to a DOS text file.
I have used tuc extensively, but always only to convert from some other OS to Unix, never the other way. I have always wished it would just overwrite the file instead of me having to send the output to a different file. Most of the time, I end up using it like this:
% tuc myfile tempfile |
It would be nice to have a ftuc, i.e., fast tuc, and use it like this:
% ftuc myfile |
In this chapter, then, we will write ftuc in assembly language (the original tuc is in C), and study various file-oriented kernel services in the process.
At first sight, such a file conversion is very simple: All you have to do is strip the carriage returns, right?
If you answered yes, think again: That approach will work most of the time (at least with MS DOS text files), but will fail occasionally.
The problem is that not all non-Unix text files end their line with the carriage return / line feed sequence. Some use carriage returns without line feeds. Others combine several blank lines into a single carriage return followed by several line feeds. And so on.
A text file converter, then, must be able to handle any possible line endings:
carriage return / line feed
carriage return
line feed / carriage return
line feed
It should also handle files that use some kind of a combination of the above (e.g., carriage return followed by several line feeds).
10.1.Finite State Machine
The problem is easily solved by the use of a technique called finite state machine, originally developed by the designers of digital electronic circuits. A finite state machine is a digital circuit whose output is dependent not only on its input but on its previous input, i.e., on its state. The microprocessor is an example of a finite state machine: Our assembly language code is assembled to machine language in which some assembly language code produces a single byte of machine language, while others produce several bytes. As the microprocessor fetches the bytes from the memory one by one, some of them simply change its state rather than produce some output. When all the bytes of the op code are fetched, the microprocessor produces some output, or changes the value of a register, etc.
Because of that, all software is essentially a sequence of state instructions for the microprocessor. Nevertheless, the concept of finite state machine is useful in software design as well.
Our text file converter can be designed as a finite state machine with three possible states. We could call them states 0-2, but it will make our life easier if we give them symbolic names:
ordinary
cr
lf
Our program will start in the ordinary
state. During this state, the program action depends on its input as follows:
If the input is anything other than a carriage return or line feed, the input is simply passed on to the output. The state remains unchanged.
If the input is a carriage return, the state is changed to
cr
. The input is then discarded, i.e., no output is made.If the input is a line feed, the state is changed to
lf
. The input is then discarded.
Whenever we are in the cr
state, it is because the last input was a carriage return, which was unprocessed. What our software does in this state again depends on the current input:
If the input is anything other than a carriage return or line feed, output a line feed, then output the input, then change the state to
ordinary
.If the input is a carriage return, we have received two (or more) carriage returns in a row. We discard the input, we output a line feed, and leave the state unchanged.
If the input is a line feed, we output the line feed and change the state to
ordinary
. Note that this is not the same as the first case above – if we tried to combine them, we would be outputting two line feeds instead of one.
Finally, we are in the lf
state after we have received a line feed that was not preceded by a carriage return. This will happen when our file already is in Unix format, or whenever several lines in a row are expressed by a single carriage return followed by several line feeds, or when line ends with a line feed / carriage return sequence. Here is how we need to handle our input in this state:
If the input is anything other than a carriage return or line feed, we output a line feed, then output the input, then change the state to
ordinary
. This is exactly the same action as in thecr
state upon receiving the same kind of input.If the input is a carriage return, we discard the input, we output a line feed, then change the state to
ordinary
.If the input is a line feed, we output the line feed, and leave the state unchanged.
10.1.1. The Final State
The above finite state machine works for the entire file, but leaves the possibility that the final line end will be ignored. That will happen whenever the file ends with a single carriage return or a single line feed. I did not think of it when I wrote tuc, just to discover that occasionally it strips the last line ending.
This problem is easily fixed by checking the state after the entire file was processed. If the state is not ordinary
, we simply need to output one last line feed.
N.B.: Now that we have expressed our algorithm as a finite state machine, we could easily design a dedicated digital electronic circuit (a “chip”) to do the conversion for us. Of course, doing so would be considerably more expensive than writing an assembly language program.
10.1.2. The Output Counter
Because our file conversion program may be combining two characters into one, we need to use an output counter. We initialize it to 0
, and increase it every time we send a character to the output. At the end of the program, the counter will tell us what size we need to set the file to.
10.2. Implementing FSM in Software
The hardest part of working with a finite state machine is analyzing the problem and expressing it as a finite state machine. That accomplished, the software almost writes itself.
In a high-level language, such as C, there are several main approaches. One is to use a switch
statement which chooses what function should be run. For example,
switch (state) { |
Another approach is by using an array of function pointers, something like this:
(output[state])(inputchar); |
Yet another is to have state
be a function pointer, set to point at the appropriate function:
(*state)(inputchar); |
This is the approach we will use in our program because it is very easy to do in assembly language, and very fast, too. We will simply keep the address of the right procedure in EBX
, and then just issue:
call ebx |
This is possibly faster than hardcoding the address in the code because the microprocessor does not have to fetch the address from the memory—it is already stored in one of its registers. I said possibly because with the caching modern microprocessors do, either way may be equally fast.
10.3.Memory Mapped Files
Because our program works on a single file, we cannot use the approach that worked for us before, i.e., to read from an input file and to write to an output file.
Unix allows us to map a file, or a section of a file, into memory. To do that, we first need to open the file with the appropriate read/write flags. Then we use the mmap
system call to map it into the memory. One nice thing about mmap
is that it automatically works with virtual memory: We can map more of the file into the memory than we have physical memory available, yet still access it through regular memory op codes, such as mov
, lods
, and stos
. Whatever changes we make to the memory image of the file will be written to the file by the system. We do not even have to keep the file open: As long as it stays mapped, we can read from it and write to it.
The 32-bit Intel microprocessors can access up to four gigabytes of memory – physical or virtual. The FreeBSD system allows us to use up to a half of it for file mapping.
For simplicity sake, in this tutorial we will only convert files that can be mapped into the memory in their entirety. There are probably not too many text files that exceed two gigabytes in size. If our program encounters one, it will simply display a message suggesting we use the original tuc instead.
If you examine your copy of syscalls.master, you will find two separate syscalls named mmap
. This is because of evolution of Unix: There was the traditional BSD mmap
, syscall 71. That one was superceded by the POSIX mmap
, syscall 197. The FreeBSD system supports both because older programs were written by using the original BSD version. But new software uses the POSIX version, which is what we will use.
The syscalls.master file lists the POSIX version like this:
197 STD BSD { caddr_t mmap(caddr_t addr, size_t len, int prot, int flags, int fd, long pad, off_t pos); } |
This differs slightly from what mmap(2) says. That is because mmap(2) describes the C version.
The difference is in the long pad
argument, which is not present in the C version. However, the FreeBSD syscalls add a 32-bit pad after push
ing a 64-bit argument. In this case, off_t
is a 64-bit value.
When we are finished working with a memory-mapped file, we unmap it with the munmap
syscall:
TIP: For an in-depth treatment of
mmap
, see W. Richard Stevens’ Unix Network Programming, Volume 2, Chapter 12.
10.4. Determining File Size
Because we need to tell mmap
how many bytes of the file to map into the memory, and because we want to map the entire file, we need to determine the size of the file.
We can use the fstat
syscall to get all the information about an open file that the system can give us. That includes the file size.
Again, syscalls.master lists two versions of fstat
, a traditional one (syscall 62), and a POSIX one (syscall 189). Naturally, we will use the POSIX version:
189 STD POSIX { int fstat(int fd, struct stat *sb); } |
This is a very straightforward call: We pass to it the address of a stat
structure and the descriptor of an open file. It will fill out the contents of the stat
structure.
I do, however, have to say that I tried to declare the stat
structure in the .bss
section, and fstat
did not like it: It set the carry flag indicating an error. After I changed the code to allocate the structure on the stack, everything was working fine.
10.5. Changing the File Size
Because our program may combine carriage return / line feed sequences into straight line feeds, our output may be smaller than our input. However, since we are placing our output into the same file we read the input from, we may have to change the size of the file.
The ftruncate
system call allows us to do just that. Despite its somewhat misleading name, the ftruncate
system call can be used to both truncate the file (make it smaller) and to grow it.
And yes, we will find two versions of ftruncate
in syscalls.master, an older one (130), and a newer one (201). We will use the newer one:
201 STD BSD { int ftruncate(int fd, int pad, off_t length); } |
Please note that this one contains a int pad
again.
10.6. ftuc
We now know everything we need to write ftuc. We start by adding some new lines in system.inc. First, we define some constants and structures, somewhere at or near the beginning of the file:
;;;;;;; open flags |
We define the new syscalls:
%define SYS_mmap 197 |
We add the macros for their use:
%macro sys.mmap 0 |
And here is our code:
;;;;;;; Fast Text-to-Unix Conversion (ftuc.asm) ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; |
WARNING: Do not use this program on files stored on a disk formated by MS DOS or Windows. There seems to be a subtle bug in the FreeBSD code when using
mmap
on these drives mounted under FreeBSD: If the file is over a certain size,mmap
will just fill the memory with zeros, and then copy them to the file overwriting its contents.
Chapter 11 – One-Pointed Mind
As a student of Zen, I like the idea of a one-pointed mind: Do one thing at a time, and do it well.
This, indeed, is very much how Unix works as well. While a typical Windows application is attempting to do everything imaginable (and is, therefore, riddled with bugs), a typical Unix program does only one thing, and it does it well.
The typical Unix user then essentially assembles his own applications by writing a shell script which combines the various existing programs by piping the output of one program to the input of another.
When writing your own Unix software, it is generally a good idea to see what parts of the problem you need to solve can be handled by existing programs, and only write your own programs for that part of the problem that you do not have an existing solution for.
11.1. CSV
I will illustrate this principle with a specific real-life example I was faced with recently:
I needed to extract the 11th field of each record from a database I downloaded from a web site. The database was a CSV file, i.e., a list of comma-separated values. That is quite a standard format for sharing data among people who may be using different database software.
The first line of the file contains the list of various fields separated by commas. The rest of the file contains the data listed line by line, with values separated by commas.
I tried awk, using the comma as a separator. But because several lines contained a quoted comma, awk was extracting the wrong field from those lines.
Therefore, I needed to write my own software to extract the 11th field from the CSV file. However, going with the Unix spirit, I only needed to write a simple filter that would do the following:
Remove the first line from the file;
Change all unquoted commas to a different character;
Remove all quotation marks.
Strictly speaking, I could use sed to remove the first line from the file, but doing so in my own program was very easy, so I decided to do it and reduce the size of the pipeline.
At any rate, writing a program like this took me about 20 minutes. Writing a program that extracts the 11th field from the CSV file would take a lot longer, and I could not reuse it to extract some other field from some other database.
N.B.: While it took me 20 minutes to write, it took me almost a day to debug. This was because of the
.code
problem described in the change log. I am just mentioning this so you do not wonder why the code itself says it was started on one day, updated the next.
This time I decided to let it do a little more work than a typical tutorial program would:
It parses its command line for options;
It displays proper usage if it finds wrong arguments;
It produces meaningful error messages.
Here is its usage message:
Usage: csv [-t<delim>] [-c<comma>] [-p] [-o <outfile>] [-i <infile>] |
All parameters are optional, and can appear in any order.
The -t
parameter declares what to replace the commas with. The tab
is the default here. For example, -t;
will replace all unquoted commas with semicolons.
I did not need the -c
option, but it may come in handy in the future. It lets me declare that I want a character other than a comma replaced with something else. For example, -c@
will replace all at signs (useful if you want to split a list of email addresses to their user names and domains).
The -p
option preserves the first line, i.e., it does not delete it. By default, we delete the first line because in a CSV file it contains the field names rather than data.
The -i
and -o
options let me specify the input and the output files. Defaults are stdin and stdout, so this is a regular Unix filter.
I made sure that both -i filename
and -ifilename
are accepted. I also made sure that only one input and one output files may be specified.
To get the 11th field of each record, I can now do:
% csv '-t;' data.csv | awk '-F;' '{print 1}' |
The code stores the options (except for the file descriptors) in EDX
: The comma in DH
, the new separator in DL
, and the flag for the -p
option in the highest bit of EDX
, so a check for its sign will give us a quick decision what to do.
Here is the code:
;;;;;;; csv.asm ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; |
Much of it is taken from hex.asm above. But there is one important difference: I no longer call write
whenever I am outputing a line feed. Yet, the code can be used interactively.
I have found a better solution for the interactive problem since I first started writing this tutorial. I wanted to make sure each line is printed out separately only when needed. After all, there is no need to flush out every line when used non-interactively.
The new solution I use now is to call write
every time I find the input buffer empty. That way, when running in the interactive mode, the program reads one line from the user’s keyboard, processes it, and sees its input buffer is empty. It flushes its output and reads the next line.
11.1.1. The Dark Side of Buffering
This change prevents a mysterious lockup in a very specific case. I refer to it as the dark side of buffering, mostly because it presents a danger that is not quite obvious.
It is unlikely to happen with a program like the csv above, so let us consider yet another filter: In this case we expect our input to be raw data representing color values, such as the red, green, and blue intensities of a pixel. Our output will be the negative of our input.
Such a filter would be very simple to write. Most of it would look just like all the other filters we have written so far, so I am only going to show you its inner loop:
.loop: |
Because this filter works with raw data, it is unlikely to be used interactively.
But it could be called by image manipulation software. And, unless it calls write
before each call to read
, chances are it will lock up.
Here is what might happen:
The image editor will load our filter using the C function
popen()
.It will read the first row of pixels from a bitmap or pixmap.
It will write the first row of pixels to the pipe leading to the
fd.in
of our filter.Our filter will read each pixel from its input, turn it to a negative, and write it to its output buffer.
Our filter will call
getchar
to fetch the next pixel.getchar
will find an empty input buffer, so it will callread
.read
will call theSYS_read
system call.The kernel will suspend our filter until the image editor sends more data to the pipe.
The image editor will read from the other pipe, connected to the
fd.out
of our filter so it can set the first row of the output image before it sends us the second row of the input.The kernel suspends the image editor until it receives some output from our filter, so it can pass it on to the image editor.
At this point our filter waits for the image editor to send it more data to process, while the image editor is waiting for our filter to send it the result of the processing of the first row. But the result sits in our output buffer.
The filter and the image editor will continue waiting for each other forever (or, at least, until they are killed). Our software has just entered a race condition.
This problem does not exist if our filter flushes its output buffer before asking the kernel for more input data.
Chapter 12 – Using the FPU
Strangely enough, most of assembly language literature does not even mention the existence of the FPU, or floating point unit, let alone discuss programming it.
Yet, never does assembly language shine more than when we create highly optimized FPU code by doing things that can be done only in assembly language.
12.1. Organization of the FPU
The FPU consists of 8 80–bit floating–point registers. These are organized in a stack fashion—you can push
a value on TOS (top of stack) and you can pop
it.
That said, the assembly language op codes are not push
and pop
because those are already taken.
You can push
a value on TOS by using fld
, fild
, and fbld
. Several other op codes let you push
many common constants—such as pi—on the TOS.
Similarly, you can pop
a value by using fst
, fstp
, fist
, fistp
, and fbstp
. Actually, only the op codes that end with a p will literally pop
the value, the rest will store
it somewhere else without removing it from the TOS.
We can transfer the data between the TOS and the computer memory either as a 32–bit, 64–bit, or 80–bit real, a 16–bit, 32–bit, or 64–bit integer, or an 80–bit packed decimal.
The 80–bit packed decimal is a special case of binary coded decimal which is very convenient when converting between the ASCII representation of data and the internal data of the FPU. It allows us to use 18 significant digits.
No matter how we represent data in the memory, the FPU always stores it in the 80–bit real format in its registers.
Its internal precision is at least 19 decimal digits, so even if we choose to display results as ASCII in the full 18–digit precision, we are still showing correct results.
We can perform mathematical operations on the TOS: We can calculate its sine, we can scale it (i.e., we can multiply or divide it by a power of 2), we can calculate its base–2 logarithm, and many other things.
We can also multiply or divide it by, add it to, or subtract it from, any of the FPU registers (including itself).
The official Intel op code for the TOS is st
, and for the registers st(0)
–st(7)
. st
and st(0)
, then, refer to the same register.
For whatever reasons, the original author of nasm has decided to use different op codes, namely st0
–st7
. In other words, there are no parentheses, and the TOS is always st0
, never just st
.
12.1.1. The Packed Decimal Format
The packed decimal format uses 10 bytes (80 bits) of memory to represent 18 digits. The number represented there is always an integer.
TIP: You can use it to get decimal places by multiplying the TOS by a power of 10 first.
The highest bit of the highest byte (byte 9) is the sign bit: If it is set, the number is negative, otherwise, it is positive. The rest of the bits of this byte are unused/ignored.
The remaining 9 bytes store the 18 digits of the number: 2 digits per byte.
The more significant digit is stored in the high nibble (4 bits), the less significant digit in the low nibble.
That said, you might think that -1234567
would be stored in the memory like this (using hexadecimal notation):
80 00 00 00 00 00 01 23 45 67 |
Alas it is not! As with everything else of Intel make, even the packed decimal is little–endian.
That means our -1234567
is stored like this:
67 45 23 01 00 00 00 00 00 80 |
Remember that, or you will be pulling your hair out in desperation!
N.B.: The book to read—if you can find it—is Richard Startz’ 8087/80287/80387 for the IBM PC & Compatibles. Though it does seem to take the fact about the little–endian storage of the packed decimal for granted. I kid you not about the desperation of trying to figure out what was wrong with the filter I show below before it occurred to me I should try the little–endian order even for this type of data.
12.2. Excursion to Pinhole Photography
To write meaningful software, we must not only understand our programming tools, but also the field we are creating software for.
Our next filter will help us whenever we want to build a pinhole camera, so, we need some background in pinhole photography before we can continue.
12.2.1. The Camera
The easiest way to describe any camera ever built is as some empty space enclosed in some lightproof material, with a small hole in the enclosure.
The enclosure is usually sturdy (e.g., a box), though sometimes it is flexible (the bellows). It is quite dark inside the camera. However, the hole lets light rays in through a single point (though in some cases there may be several). These light rays form an image, a representation of whatever is outside the camera, in front of the hole.
If some light sensitive material (such as film) is placed inside the camera, it can capture the image.
The hole often contains a lens, or a lens assembly, often called the objective.
12.2.2. The Pinhole
But, strictly speaking, the lens is not necessary: The original cameras did not use a lens but a pinhole. Even today, pinholes are used, both as a tool to study how cameras work, and to achieve a special kind of image.
The image produced by the pinhole is all equally sharp. Or blurred. There is an ideal size for a pinhole: If it is either larger or smaller, the image loses its sharpness.
12.2.3. Focal Length
This ideal pinhole diameter is a function of the square root of focal length, which is the distance of the pinhole from the film.
D = PC * sqrt(FL) |
In here, D
is the ideal diameter of the pinhole, FL
is the focal length, and PC
is a pinhole constant. According to Jay Bender, its value is 0.04
, while Kenneth Connors has determined it to be 0.037
. Others have proposed other values. Plus, this value is for the daylight only: Other types of light will require a different constant, whose value can only be determined by experimentation.
12.2.4. The F–Number
The f–number is a very useful measure of how much light reaches the film. A light meter can determine that, for example, to expose a film of specific sensitivity with f5.6 may require the exposure to last 1/1000 sec.
It does not matter whether it is a 35–mm camera, or a 6x9cm camera, etc. As long as we know the f–number, we can determine the proper exposure.
The f–number is easy to calculate:
F = FL / D |
In other words, the f–number equals the focal length divided by the diameter of the pinhole. It also means a higher f–number either implies a smaller pinhole or a larger focal distance, or both. That, in turn, implies, the higher the f–number, the longer the exposure has to be.
Furthermore, while pinhole diameter and focal distance are one–dimensional measurements, both, the film and the pinhole, are two–dimensional. That means that if you have measured the exposure at f–number A
as t
, then the exposure at f–number B
is:
t * (B / A)² |
12.2.5. Normalized F–Number
While many modern cameras can change the diameter of their pinhole, and thus their f–number, quite smoothly and gradually, such was not always the case.
To allow for different f–numbers, cameras typically contained a metal plate with several holes of different sizes drilled to them.
Their sizes were chosen according to the above formula in such a way that the resultant f–number was one of standard f–numbers used on all cameras everywhere. For example, a very old Kodak Duaflex IV camera in my possession has three such holes for f–numbers 8, 11, and 16.
A more recently made camera may offer f–numbers of 2.8, 4, 5.6, 8, 11, 16, 22, and 32 (as well as others). These numbers were not chosen arbitrarily: They all are powers of the square root of 2, though they may be rounded somewhat.
12.2.6. The F–Stop
A typical camera is designed in such a way that setting any of the normalized f–numbers changes the feel of the dial. It will naturally stop in that position. Because of that, these positions of the dial are called f–stops.
Since the f–numbers at each stop are powers of the square root of 2, moving the dial by 1 stop will double the amount of light required for proper exposure. Moving it by 2 stops will quadruple the required exposure. Moving the dial by 3 stops will require the increase in exposure 8 times, etc.
12.3. Designing the Pinhole Software
We are now ready to decide what exactly we want our pinhole software to do.
12.3.1. Processing Program Input
Since its main purpose is to help us design a working pinhole camera, we will use the focal length as the input to the program. This is something we can determine without software: Proper focal length is determined by the size of the film and by the need to shoot “regular” pictures, wide angle pictures, or telephoto pictures.
Most of the programs we have written so far worked with individual characters, or bytes, as their input: The hex program converted individual bytes into a hexadecimal number, the csv program either let a character through, or deleted it, or changed it to a different character, etc.
One program, ftuc used the state machine to consider at most two input bytes at a time.
But our pinhole program cannot just work with individual characters, it has to deal with larger syntactic units.
For example, if we want the program to calculate the pinhole diameter (and other values we will discuss later) at the focal lengths of 100 mm
, 150 mm
, and 210 mm
, we may want to enter something like this:
100, 150, 210 |
Our program needs to consider more than a single byte of input at a time. When it sees the first 1
, it must understand it is seeing the first digit of a decimal number. When it sees the 0
and the other 0
, it must know it is seeing more digits of the same number.
When it encounters the first comma, it must know it is no longer receiving the digits of the first number. It must be able to convert the digits of the first number into the value of 100
. And the digits of the second number into the value of 150
. And, of course, the digits of the third number into the numeric value of 210
.
We need to decide what delimiters to accept: Do the input numbers have to be separated by a comma? If so, how do we treat two numbers separated by something else?
Personally, I like to keep it simple. Something either is a number, so I process it. Or it is not a number, so I discard it. I don’t like the computer complaining about me typing in an extra character when it is obvious that it is an extra character. Duh!
Plus, it allows me to break up the monotony of computing and type in a query instead of just a number:
What is the best pinhole diameter for the focal length of 150? |
There is no reason for the computer to spit out a number of complaints:
Syntax error: What |
Et cetera, et cetera, et cetera.
Secondly, I like the #
character to denote the start of a comment which extends to the end of the line. This does not take too much effort to code, and lets me treat input files for my software as executable scripts.
In our case, we also need to decide what units the input should come in: We choose millimeters because that is how most photographers measure the focus length.
Finally, we need to decide whether to allow the use of the decimal point (in which case we must also consider the fact that much of the world uses a decimal comma).
In our case allowing for the decimal point/comma would offer a false sense of precision: There is little if any noticeable difference between the focus lengths of 50
and 51
, so allowing the user to input something like 50.5
is not a good idea. This is my opinion, mind you, but I am the one writing this program. You can make other choices in yours, of course.
12.3.2. Offering Options
The most important thing we need to know when building a pinhole camera is the diameter of the pinhole. Since we want to shoot sharp images, we will use the above formula to calculate the pinhole diameter from focal length. As experts are offering several different values for the PC
constant, we will need to have the choice.
It is traditional in Unix programming to have two main ways of choosing program parameters, plus to have a default for the time the user does not make a choice.
Why have two ways of choosing?
One is to allow a (relatively) permanent choice that applies automatically each time the software is run without us having to tell it over and over what we want it to do.
The permanent choices may be stored in a configuration file, typically found in the user’s home directory. The file usually has the same name as the application but is started with a dot. Often “rc” is added to the file name. So, ours could be ~/.pinhole or ~/.pinholerc. (The ~/ means current user’s home directory.)
The configuration file is used mostly by programs that have many configurable parameters. Those that have only one (or a few) often use a different method: They expect to find the parameter in an environment variable. In our case, we might look at an environment variable named PINHOLE
.
Usually, a program uses one or the other of the above methods. Otherwise, if a configuration file said one thing, but an environment variable another, the program might get confused (or just too complicated).
Because we only need to choose one such parameter, we will go with the second method and search the environment for a variable named PINHOLE
.
The other way allows us to make ad hoc decisions: “Though I usually want you to use 0.039, this time I want 0.03872.” In other words, it allows us to override the permanent choice.
This type of choice is usually done with command line parameters.
Finally, a program always needs a default. The user may not make any choices. Perhaps he does not know what to choose. Perhaps he is “just browsing.” Preferably, the default will be the value most users would choose anyway. That way they do not need to choose. Or, rather, they can choose the default without an additional effort.
Given this system, the program may find conflicting options, and handle them this way:
If it finds an ad hoc choice (e.g., command line parameter), it should accept that choice. It must ignore any permanent choice and any default.
Otherwise, if it finds a permanent option (e.g., an environment variable), it should accept it, and ignore the default.
Otherwise, it should use the default.
We also need to decide what format our PC
option should have.
At first site, it seems obvious to use the PINHOLE=0.04
format for the environment variable, and -p0.04
for the command line.
Allowing that is actually a security risk. The PC
constant is a very small number. Naturally, we will test our software using various small values of PC
. But what will happen if someone runs the program choosing a huge value?
It may crash the program because we have not designed it to handle huge numbers.
Or, we may spend more time on the program so it can handle huge numbers. We might do that if we were writing commercial software for computer illiterate audience.
Or, we might say, “Tough! The user should know better."”
Or, we just may make it impossible for the user to enter a huge number. This is the approach we will take: We will use an implied 0. prefix.
In other words, if the user wants 0.04
, we will expect him to type -p04
, or set PINHOLE=04
in his environment. So, if he says -p9999999
, we will interpret it as 0.9999999
—still ridiculous but at least safer.
Secondly, many users will just want to go with either Bender’s constant or Connors’ constant. To make it easier on them, we will interpret -b
as identical to -p04
, and -c
as identical to -p037
.
12.3.3. The Output
We need to decide what we want our software to send to the output, and in what format.
Since our input allows for an unspecified number of focal length entries, it makes sense to use a traditional database–style output of showing the result of the calculation for each focal length on a separate line, while separating all values on one line by a tab
character.
Optionally, we should also allow the user to specify the use of the CSV format we have studied earlier. In this case, we will print out a line of comma–separated names describing each field of every line, then show our results as before, but substituting a comma
for the tab
.
We need a command line option for the CSV format. We cannot use -c
because that already means use Connors’ constant. For some strange reason, many web sites refer to CSV files as “Excel spreadsheet” (though the CSV format predates Excel). We will, therefore, use the -e
switch to inform our software we want the output in the CSV format.
We will start each line of the output with the focal length. This may sound repetitious at first, especially in the interactive mode: The user types in the focal length, and we are repeating it.
But the user can type several focal lengths on one line. The input can also come in from a file or from the output of another program. In that case the user does not see the input at all.
By the same token, the output can go to a file which we will want to examine later, or it could go to the printer, or become the input of another program.
So, it makes perfect sense to start each line with the focal length as entered by the user.
No, wait! Not as entered by the user. What if the user types in something like this:
00000000150 |
Clearly, we need to strip those leading zeros.
So, we might consider reading the user input as is, converting it to binary inside the FPU, and printing it out from there.
But...
What if the user types something like this:
17459765723452353453534535353530530534563507309676764423 |
Ha! The packed decimal FPU format lets us input 18–digit numbers. But the user has entered more than 18 digits. How do we handle that?
Well, we could modify our code to read the first 18 digits, enter it to the FPU, then read more, multiply what we already have on the TOS by 10 raised to the number of additional digits, then add
to it.
Yes, we could do that. But in this program it would be ridiculous (in a different one it may be just the thing to do): Even the circumference of the Earth expressed in millimeters only takes 11 digits. Clearly, we cannot build a camera that large (not yet, anyway).
So, if the user enters such a huge number, he is either bored, or testing us, or trying to break into the system, or playing games—doing anything but designing a pinhole camera.
What will we do?
We will slap him in the face, in a manner of speaking:
17459765723452353453534535353530530534563507309676764423 ??? ??? ??? ??? ??? |
To achieve that, we will simply ignore any leading zeros. Once we find a non–zero digit, we will initialize a counter to 0
and start taking three steps:
Send the digit to the output.
Append the digit to a buffer we will use later to produce the packed decimal we can send to the FPU.
Increase the counter.
Now, while we are taking these three steps, we also need to watch out for one of two conditions:
If the counter grows above 18, we stop appending to the buffer. We continue reading the digits and sending them to the output.
If, or rather when, the next input character is not a digit, we are done inputting for now.
Incidentally, we can simply discard the non–digit, unless it is a
#
, which we must return to the input stream. It starts a comment, so we must see it after we are done producing output and start looking for more input.
That still leaves one possibility uncovered: If all the user enters is a zero (or several zeros), we will never find a non–zero to display.
We can determine this has happened whenever our counter stays at 0
. In that case we need to send 0
to the output, and perform another “slap in the face”:
0 ??? ??? ??? ??? ??? |
Once we have displayed the focal length and determined it is valid (greater than 0
but not exceeding 18 digits), we can calculate the pinhole diameter.
It is not by coincidence that pinhole contains the word pin. Indeed, many a pinhole literally is a pin hole, a hole carefully punched with the tip of a pin.
That is because a typical pinhole is very small. Our formula gets the result in millimeters. We will multiply it by 1000
, so we can output the result in microns.
At this point we have yet another trap to face: Too much precision.
Yes, the FPU was designed for high precision mathematics. But we are not dealing with high precision mathematics. We are dealing with physics (optics, specifically).
Suppose we want to convert a truck into a pinhole camera (we would not be the first ones to do that!). Suppose its box is 12
meters long, so we have the focal length of 12000
. Well, using Bender’s constant, it gives us square root of 12000
multiplied by 0.04
, which is 4.381780460
millimeters, or 4381.780460
microns.
Put either way, the result is absurdly precise. Our truck is not exactly 12000
millimeters long. We did not measure its length with such a precision, so stating we need a pinhole with the diameter of 4.381780460
millimeters is, well, deceiving. 4.4
millimeters would do just fine.
N.B.: I “only” used ten digits in the above example. Imagine the absurdity of going for all 18!
We need to limit the number of significant digits of our result. One way of doing it is by using an integer representing microns. So, our truck would need a pinhole with the diameter of 4382
microns. Looking at that number, we still decide that 4400
microns, or 4.4
millimeters is close enough.
Additionally, we can decide that no matter how big a result we get, we only want to display four siginificant digits (or any other number of them, of course). Alas, the FPU does not offer rounding to a specific number of digits (after all, it does not view the numbers as decimal but as binary).
We, therefore, must devise an algorithm to reduce the number of significant digits.
Here is mine (I think it is awkward—if you know a better one, please, let me know):
Initialize a counter to
0
.While the number is greater than or equal to
10000
, divide it by10
and increase the counter.Output the result.
While the counter is greater than
0
, output0
and decrease the counter.
N.B.: The
10000
is only good if you want four significant digits. For any other number of significant digits, replace10000
with10
raised to the number of significant digits.
We will, then, output the pinhole diameter in microns, rounded off to four significant digits.
At this point, we know the focal length and the pinhole diameter. That means we have enough information to also calculate the f–number.
We will display the f–number, rounded to four significant digits. Chances are the f–number will tell us very little. To make it more meaningful, we can find the nearest normalized f–number, i.e., the nearest power of the square root of 2.
We do that by multiplying the actual f–number by itself, which, of course, will give us its square
. We will then calculate its base–2 logarithm, which is much easier to do than calculating the base–square–root–of–2 logarithm! We will round the result to the nearest integer. Next, we will raise 2 to the result. Actually, the FPU gives us a good shortcut to do that: We can use the fscale
op code to “scale” 1, which is analogous to shift
ing an integer left. Finally, we calculate the square root of it all, and we have the nearest normalized f–number.
If all that sounds overwhelming—or too much work, perhaps—it may become much clearer if you see the code. It takes 9 op codes altogether:
fmul st0, st0 |
The first line, fmul st0, st0
, squares the contents of the TOS (top of the stack, same as st
, called st0
by nasm). The fld1
pushes 1
on the TOS.
The next line, fld st1
, pushes the square back to the TOS. At this point the square is both in st
and st(2)
(it will become clear why we leave a second copy on the stack in a moment). st(1)
contains 1
.
Next, fyl2x
calculates base–2 logarithm of st
multiplied by st(1)
. That is why we placed 1
on st(1)
before.
At this point, st
contains the logarithm we have just calculated, st(1)
contains the square of the actual f–number we saved for later.
frndint
rounds the TOS to the nearest integer. fld1
pushes a 1
. fscale
shifts the 1
we have on the TOS by the value in st(1)
, effectively raising 2 to st(1)
.
Finally, fsqrt
calculates the square root of the result, i.e., the nearest normalized f–number.
We now have the nearest normalized f–number on the TOS, the base–2 logarithm rounded to the nearest integer in st(1)
, and the square of the actual f–number in st(2)
. We are saving the value in st(2)
for later.
But we do not need the contents of st(1)
anymore. The last line, fstp st1
, places the contents of st
to st(1)
, and pops. As a result, what was st(1)
is now st
, what was st(2)
is now st(1)
, etc. The new st
contains the normalized f–number. The new st(1)
contains the square of the actual f–number we have stored there for posterity.
At this point, we are ready to output the normalized f–number. Because it is normalized, we will not round it off to four significant digits, but will send it out in its full precision.
The normalized f-number is useful as long as it is reasonably small and can be found on our light meter. Otherwise we need a different method of determining proper exposure.
Earlier we have figured out the formula of calculating proper exposure at an arbitrary f–number from that measured at a different f–number.
Every light meter I have ever seen can determine proper exposure at f5.6. We will, therefore, calculate an “f5.6 multiplier,” i.e., by how much we need to multiply the exposure measured at f5.6 to determine the proper exposure for our pinhole camera.
From the above formula we know this factor can be calculated by dividing our f–number (the actual one, not the normalized one) by 5.6
, and squaring the result.
Mathematically, dividing the square of our f–number by the square of 5.6
will give us the same result.
Computationally, we do not want to square two numbers when we can only square one. So, the first solution seems better at first.
But...
5.6
is a constant. We do not have to have our FPU waste precious cycles. We can just tell it to divide the square of the f–number by whatever 5.6²
equals to. Or we can divide the f–number by 5.6
, and then square the result. The two ways now seem equal.
But, they are not!
Having studied the principles of photography above, we remember that the 5.6
is actually square root of 2 raised to the fifth power. An irrational number. The square of this number is exactly 32
.
Not only is 32
an integer, it is a power of 2. We do not need to divide the square of the f–number by 32
. We only need to use fscale
to shift it right by five positions. In the FPU lingo it means we will fscale
it with st(1)
equal to -5
. That is much fasterthan a division.
So, now it has become clear why we have saved the square of the f–number on the top of the FPU stack. The calculation of the f5.6 multiplier is the easiest calculation of this entire program! We will output it rounded to four significant digits.
There is one more useful number we can calculate: The number of stops our f–number is from f5.6. This may help us if our f–number is just outside the range of our light meter, but we have a shutter which lets us set various speeds, and this shutter uses stops.
Say, our f–number is 5 stops from f5.6, and the light meter says we should use 1/1000 sec. Then we can set our shutter speed to 1/1000 first, then move the dial by 5 stops.
This calculation is quite easy as well. All we have to do is to calculate the base-2 logarithm of the f5.6 multiplier we had just calculated (though we need its value from before we rounded it off). We then output the result rounded to the nearest integer. We do not need to worry about having more than four significant digits in this one: The result is most likely to have only one or two digits anyway.
12.4. FPU Optimizations
In assembly language we can optimize the FPU code in ways impossible in high languages, including C.
Whenever a C function needs to calculate a floating–point value, it loads all necessary variables and constants into FPU registers. It then does whatever calculation is required to get the correct result. Good C compilers can optimize that part of the code really well.
It “returns” the value by leaving the result on the TOS. However, before it returns, it cleans up. Any variables and constants it used in its calculation are now gone from the FPU.
It cannot do what we just did above: We calculated the square of the f–number and kept it on the stack for later use by another function.
We knew we would need that value later on. We also knew we had enough room on the stack (which only has room for 8 numbers) to store it there.
A C compiler has no way of knowing that a value it has on the stack will be required again in the very near future.
Of course, the C programmer may know it. But the only recourse he has is to store the value in a memory variable.
That means, for one, the value will be changed from the 80-bit precision used internally by the FPU to a C double (64 bits) or even single (32 bits).
That also means that the value must be moved from the TOS into the memory, and then back again. Alas, of all FPU operations, the ones that access the computer memory are the slowest.
So, whenever programming the FPU in assembly language, look for the ways of keeping intermediate results on the FPU stack.
We can take that idea even further! In our program we are using a constant (the one we named PC
).
It does not matter how many pinhole diameters we are calculating: 1, 10, 20, 1000, we are always using the same constant. Therefore, we can optimize our program by keeping the constant on the stack all the time.
Early on in our program, we are calculating the value of the above constant. We need to divide our input by 10
for every digit in the constant.
It is much faster to multiply than to divide. So, at the start of our program, we divide 10
into 1
to obtain 0.1
, which we then keep on the stack: Instead of dividing the input by 10
for every digit, we multiply it by 0.1
.
By the way, we do not input 0.1
directly, even though we could. We have a reason for that: While 0.1
can be expressed with just one decimal place, we do not know how many binary places it takes. We, therefore, let the FPU calculate its binary value to its own high precision.
We are using other constants: We multiply the pinhole diameter by 1000
to convert it from millimeters to microns. We compare numbers to 10000
when we are rounding them off to four significant digits. So, we keep both, 1000
and 10000
, on the stack. And, of course, we reuse the 0.1
when rounding off numbers to four digits.
Last but not least, we keep -5
on the stack. We need it to scale the square of the f–number, instead of dividing it by 32
. It is not by coincidence we load this constant last. That makes it the top of the stack when only the constants are on it. So, when the square of the f–number is being scaled, the -5
is at st(1)
, precisely where fscale
expects it to be.
It is common to create certain constants from scratch instead of loading them from the memory. That is what we are doing with -5
:
fld1 ; TOS = 1 |
We can generalize all these optimizations into one rule: Keep repeat values on the stack!
TIP: PostScript is a stack–oriented programming language. There are many more books available about PostScript than about the FPU assembly language: Mastering PostScript will help you master the FPU.
12.5. pinhole—The Code
;;;;;;; pinhole.asm ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; |
The code follows the same format as all the other filters we have seen before, with one subtle exception:
We are no longer assuming that the end of input implies the end of things to do, something we took for granted in the character–oriented filters.
This filter does not process characters. It processes a language (albeit a very simple one, consisting only of numbers).
When we have no more input, it can mean one of two things:
We are done and can quit. This is the same as before.
The last character we have read was a digit. We have stored it at the end of our ASCII–to–float conversion buffer. We now need to convert the contents of that buffer into a number and write the last line of our output.
For that reason, we have modified our
getchar
and ourread
routines to return with thecarry flag
clear whenever we are fetching another character from the input, or thecarry flag
set whenever there is no more input.Of course, we are still using assembly language magic to do that! Take a good look at
getchar
. It always returns with thecarry flag
clear.Yet, our main code relies on the
carry flag
to tell it when to quit—and it works.The magic is in
read
. Whenever it receives more input from the system, it just returns togetchar
, which fetches a character from the input buffer, clears thecarry flag
and returns.But when
read
receives no more input from the system, it does not return togetchar
at all. Instead, theadd esp, byte 4
op code adds4
toESP
, sets thecarry flag
, and returns.So, where does it return to? Whenever a program uses the
call
op code, the microprocessorpush
es the return address, i.e., it stores it on the top of the stack (not the FPU stack, the system stack, which is in the memory). When a program uses theret
op code, the microprocessorpop
s the return value from the stack, and jumps to the address that was stored there.But since we added
4
toESP
(which is the stack pointer register), we have effectively given the microprocessor a minor case of amnesia: It no longer remembers it wasgetchar
thatcall
edread
.And since
getchar
neverpush
ed anything beforecall
ingread
, the top of the stack now contains the return address to whatever or whoevercall
edgetchar
. As far as that caller is concerned, hecall
edgetchar
, whichret
urned with thecarry flag
set!
Other than that, the bcdload
routine is caught up in the middle of a Lilliputian conflict between the Big–Endians and the Little–Endians.
It is converting the text representation of a number into that number: The text is stored in the big–endian order, but the packed decimal is little–endian.
To solve the conflict, we use the std
op code early on. We cancel it with cld
later on: It is quite important we do not call
anything that may depend on the default setting of the direction flag while std
is active.
Everything else in this code should be quite clear, providing you have read the entire chapter that precedes it.
It is a classical example of the adage that programming requires a lot of thought and only a little coding. Once we have thought through every tiny detail, the code almost writes itself.
12.6. Using pinhole
Because we have decided to make the program ignore any input except for numbers (and even those inside a comment), we can actually perform textual queries. We do not have to, but we can.
In my humble opinion, forming a textual query, instead of having to follow a very strict syntax, makes software much more user friendly.
Suppose we want to build a pinhole camera to use the 4x5 inch film. The standard focal length for that film is about 150mm. We want to fine–tune our focal length so the pinhole diameter is as round a number as possible. Let us also suppose we are quite comfortable with cameras but somewhat intimidated by computers. Rather than just have to type in a bunch of numbers, we want to ask a couple of questions.
Our session might look like this:
% pinhole Computer, What size pinhole do I need for the focal length of 150? |
We have found that while for the focal length of 150, our pinhole diameter should be 490 microns, or 0.49 mm, if we go with the almost identical focal length of 156 mm, we can get away with a pinhole diameter of exactly one half of a millimeter.
12.7. Scripting
Because we have chosen the #
character to denote the start of a comment, we can treat our pinhole software as a scripting language.
You have probably seen shell scripts that start with:
#! /bin/sh |
...or...
#!/bin/sh |
...because the blank space after the #!
is optional.
Whenever Unix is asked to run an executable file which starts with the #!
, it assumes the file is a script. It adds the command to the rest of the first line of the script, and tries to execute that.
Suppose now that we have installed pinhole in /usr/local/bin/, we can now write a script to calculate various pinhole diameters suitable for various focal lengths commonly used with the 120 film.
The script might look something like this:
#! /usr/local/bin/pinhole -b -i |
Because 120 is a medium size film, we may name this file medium.
We can set its permissions to execute, and run it as if it were a program:
% chmod 755 medium |
Unix will interpret that last command as:
% /usr/local/bin/pinhole -b -i ./medium |
It will run that command and display:
80 358 224 256 1562 11 |
Now, let us enter:
% ./medium -c |
Unix will treat that as:
% /usr/local/bin/pinhole -b -i ./medium -c |
That gives it two conflicting options: -b
and -c
(Use Bender’s constant and use Connors’ constant). We have programmed it so later options override early ones—our program will calculate everything using Connors’ constant:
80 331 242 256 1826 11 |
We decide we want to go with Bender’s constant after all. We want to save its values as a comma–separated file:
% ./medium -b -e > bender |
Chapter 13 – Caveats
Assembly language programmers who “grew up” under MS DOS and Windows often tend to take shortcuts. Reading the keyboard scan codes and writing directly to video memory are two classical examples of practices which, under MS DOS are not frowned upon but considered the right thing to do.
The reason? Both the PC BIOS and MS DOS are notoriously slow when performing these operations.
You may be tempted to continue similar practices in the Unix environment. For example, I have seen a web site which explains how to access the keyboard scan codes on a popular Unix clone.
That is generally a very bad idea in Unix environment! Let me explain why.
13.1. Unix Is Protected
For one thing, it may simply not be possible. Unix runs in protected mode. Only the kernel and device drivers are allowed to access hardware directly. Perhaps a particular Unix clone will let you read the keyboard scan codes, but chances are a real Unix operating system will not. And even if one version may let you do it, the next one may not, so your carefully crafted software may become a dinosaur overnight.
13.2. Unix Is an Abstraction
But there is a much more important reason not to try accessing the hardware directly (unless, of course, you are writing a device driver), even on the Unix-like systems that let you do it:
Unix is an abstraction!
There is a major difference in the philosophy of design between MS DOS and Unix. MS DOS was designed as a single-user system. It is run on a computer with a keyboard and a video screen attached directly to that computer. User input is almost guaranteed to come from that keyboard. Your program’s output virtually always ends up on that screen.
This is NEVER guaranteed under Unix. It is quite common for a Unix user to pipe and redirect program input and output:
% program1 | program2 | program3 > file1 |
If you have written program2, your input does not come from the keyboard but from the output of program1. Similarly, your output does not go to the screen but becomes the input for program3 whose output, in turn, goes to file1.
But there is more! Even if you made sure that your input comes from, and your output goes to, the terminal, there is no guarantee the terminal is a PC: It may not have its video memory where you expect it, nor may its keyboard be producing PC-style scan codes. It may be a Macintosh, or any other computer.
Now you may be shaking your head: My software is in PC assembly language, how can it run on a Macintosh? But I did not say your software would be running on a Macintosh, only that its terminal may be a Macintosh.
Under Unix, the terminal does not have to be directly attached to the computer that runs your software, it can even be on another continent, or, for that matter, on another planet. It is perfectly possible that a Macintosh user in Australia connects to a Unix system in North America (or anywhere else) via telnet. The software then runs on one computer, while the terminal is on a different computer: If you try to read the scan codes, you will get the wrong input!
Same holds true about any other hardware: A file you are reading may be on a disk you have no direct access to. A camera you are reading images from may be on a space shuttle, connected to you via satellites.
That is why under Unix you must never make any assumptions about where your data is coming from and going to. Always let the system handle the physical access to the hardware.
N.B.: These are caveats, not absolute rules. Exceptions are possible. For example, if a text editor has determined it is running on a local machine, it may want to read the scan codes directly for improved control. I am not mentioning these caveats to tell you what to do or what not to do, just to make you aware of certain pitfalls that await you if you have just arrived to Unix form MS DOS. Of course, creative people often break rules, and it is OK as long as they know they are breaking them and why.
Appendix A – Assembly Language Pearls
Here are some other assembly language articles I have written since starting this tutorial. They are on separate pages mostly to keep this tutorial down to a manageable size.
String Length – learn how to calculate the length of a text string in assembly language.
Smallest Unix Program – see how we can shrink the smallest Unix program.
Appendix B – BSD Style Copyright
If you wish to release your software with a BSD-style copyright, you can find the file bsd-style-copyright in several places on your FreeBSD computer. But it uses C-style comments.
I have edited it for inclusion in assembly language programs. If you want it, download the nasm-compatible BSD-style copyright, insert your name, and include it in your source code.
Appendix C – Change Log
Originally, this tutorial used .code
as the name of the code section. Traditionally, the name is .text
. I used .code
because it seemed more intuitive, and it worked anyway.
Alas, as the newer versions of FreeBSD have upgraded to a new version of ld, it does not work right anymore. That is why I have now changed all occurances of .code
to .text
in this tutorial. Please, do so in your own code as well.
Appendix D – Acknowledgements
This tutorial would never have been possible without the help of many experienced FreeBSD programmers from the FreeBSD hackers mailing list, many of whom have patiently answered my questions, and pointed me in the right direction in my attempts to explore the inner workings of Unix system programming in general and FreeBSD in particular.
Thomas M. Sommers opened the door for me. His How do I write “Hello, world” in FreeBSD assembler? web page was my first encounter with an example of assembly language programming under FreeBSD.
Jake Burkholder has kept the door open by willingly answering all of my questions and supplying me with example assembly language source code.
Copyright © 2000-2001 G. Adam Stanislav.
All rights reserved.
============================== End
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