In computer programming, a magic number is any of the following:
The term magic number or magic constant refers to the anti-pattern of using numbers directly in source code. This has been referred to as breaking one of the oldest rules of programming, dating back to the COBOL, FORTRAN and PL/1 manuals of the 1960s. The use of unnamed magic numbers in code obscures the developers' intent in choosing that number, increases opportunities for subtle errors (e.g. is every digit correct in 3.14159265358979323846 and can be rounded to 3.14159?) and makes it more difficult for the program to be adapted and extended in the future. Replacing all significant magic numbers with named constants (also called explanatory variables) makes programs easier to read, understand and maintain.
Names chosen to be meaningful in the context of the program can result in code that is more easily understood by a maintainer who is not the original author (or even by the original author after a period of time). An example of an uninformatively named constant is int SIXTEEN = 16
, while int NUMBER_OF_BITS = 16
is more descriptive.
The problems associated with magic 'numbers' described above are not limited to numerical types and the term is also applied to other data types where declaring a named constant would be more flexible and communicative. Thus, declaring const string testUserName = "John"
is better than several occurrences of the 'magic value' "John"
in a test suite.
For example, if it is required to randomly shuffle the values in an array representing a standard pack of playing cards, this pseudocode does the job using the Fisher–Yates shuffle algorithm:
for i from 1 to 52 j := i + randomInt(53 - i) - 1 a.swapEntries(i, j)
where a
is an array object, the function randomInt(x)
chooses a random integer between 1 and x, inclusive, and swapEntries(i, j)
swaps the ith and jth entries in the array. In the preceding example, 52
is a magic number. It is considered better programming style to write the following:
int deckSize:= 52 for i from 1 to deckSize j := i + randomInt(deckSize + 1 - i) - 1 a.swapEntries(i, j)
This is preferable for several reasons:
deckSize
variable in the second example would be a simple, one-line change.dekSize
" instead of "deckSize
" would result in the compiler's warning that dekSize
is undeclared.deckSize
into a parameter of that procedure, whereas the first example would require several changes.function shuffle (int deckSize) for i from 1 to deckSize j := i + randomInt(deckSize + 1 - i) - 1 a.swapEntries(i, j)
Disadvantages are:
deckSize + 1
at run-time than the value "53", although most modern compilers and interpreters will notice that deckSize
has been declared as a constant and pre-calculate the value 53 in the compiled code. Even when that's not an option, loop optimization will move the addition so that it is performed before the loop. There is therefore usually no (or negligible) speed penalty compared to using magic numbers in code. Especially the cost of debugging and the time needed trying to understand non-explanatory code must be held against the tiny calculation cost.In some contexts, the use of unnamed numerical constants is generally accepted (and arguably "not magic"). While such acceptance is subjective, and often depends on individual coding habits, the following are common examples:
for (int i = 0; i < max; i += 1)
isEven = (x % 2 == 0)
, where %
is the modulo operatorcircumference = 2 * Math.PI * radius
, or for calculating the discriminant of a quadratic equation as d = b^2 − 4*a*c
(f(x) ** 2 + f(y) ** 2) ** 0.5
for The constants 1 and 0 are sometimes used to represent the boolean values True and False in programming languages without a boolean type, such as older versions of C. Most modern programming languages provide a boolean
or bool
primitive type and so the use of 0 and 1 is ill-advised. This can be more confusing since 0 sometimes means programmatic success (when -1 means failure) and failure in other cases (when 1 means success).
In C and C++, 0 represents the null pointer. As with boolean values, the C standard library includes a macro definition NULL
whose use is encouraged. Other languages provide a specific null
or nil
value and when this is the case no alternative should be used. The typed pointer constant nullptr
has been introduced with C++11.
Format indicators were first used in early Version 7 Unix source code.
Unix was ported to one of the first DEC PDP-11/20s, which did not have memory protection. So early versions of Unix used the relocatable memory reference model. Pre-Sixth Edition Unix versions read an executable file into memory and jumped to the first low memory address of the program, relative address zero. With the development of paged versions of Unix, a header was created to describe the executable image components. Also, a branch instruction was inserted as the first word of the header to skip the header and start the program. In this way a program could be run in the older relocatable memory reference (regular) mode or in paged mode. As more executable formats were developed, new constants were added by incrementing the branch offset.
In the Sixth Edition source code of the Unix program loader, the exec() function read the executable (binary) image from the file system. The first 8 bytes of the file was a header containing the sizes of the program (text) and initialized (global) data areas. Also, the first 16-bit word of the header was compared to two constants to determine if the executable image contained relocatable memory references (normal), the newly implemented paged read-only executable image, or the separated instruction and data paged image. There was no mention of the dual role of the header constant, but the high order byte of the constant was, in fact, the operation code for the PDP-11 branch instruction (octal 000407 or hex 0107). Adding seven to the program counter showed that if this constant was executed, it would branch the Unix exec() service over the executable image eight byte header and start the program.
Since the Sixth and Seventh Editions of Unix employed paging code, the dual role of the header constant was hidden. That is, the exec() service read the executable file header (meta) data into a kernel space buffer, but read the executable image into user space, thereby not using the constant's branching feature. Magic number creation was implemented in the Unix linker and loader and magic number branching was probably still used in the suite of stand-alone diagnostic programs that came with the Sixth and Seventh Editions. Thus, the header constant did provide an illusion and met the criteria for magic.
In Version Seven Unix, the header constant was not tested directly, but assigned to a variable labeled ux_mag and subsequently referred to as the magic number. Probably because of its uniqueness, the term magic number came to mean executable format type, then expanded to mean file system type, and expanded again to mean any type of file.
Magic numbers are common in programs across many operating systems. Magic numbers implement strongly typed data and are a form of in-band signaling to the controlling program that reads the data type(s) at program run-time. Many files have such constants that identify the contained data. Detecting such constants in files is a simple and effective way of distinguishing between many file formats and can yield further run-time information.
CAFEBABE
. When compressed with Pack200 the bytes are changed to CAFED00D
.47
49
46
38
39
61
) or "GIF87a" (47
49
46
38
37
61
)FF
D8
and end with FF
D9
. JPEG/JFIF files contain the null terminated string "JFIF" (4A
46
49
46
00
). JPEG/Exif files contain the null terminated string "Exif" (45
78
69
66
00
), followed by more metadata about the file.89
50
4E
47
0D
0A
1A
0A
). That signature contains various newline characters to permit detecting unwarranted automated newline conversions, such as transferring the file using FTP with the ASCII transfer mode instead of the binary mode.4D
54
68
64
) followed by more metadata.23
21
) followed by the path to an interpreter, if the interpreter is likely to be different from the one from which the script was invoked.7F
followed by "ELF" (7F
45
4C
46
).25
21
).25
50
44
46
).4D
5A
), the initials of the designer of the file format, Mark Zbikowski. The definition allows the uncommon "ZM" (5A
4D
) as well for dosZMXP, a non-PE EXE.19
54
01
19
or 01
19
54
depending on version; both represent the birthday of the author, Marshall Kirk McKusick.55
AA
as its last two bytes.4A
6F
79
21
) as a prefix.49
49
2A
00
. "MM" is for Motorola, which uses big endian byte ordering, so the magic number is 4D
4D
00
2A
.FE
FF
for big endian and FF
FE
for little endian). And on Microsoft Windows, UTF-8 text files often start with the UTF-8 encoding of the same character, EF
BB
BF
.42
43
).D0
CF
11
E0
, which is visually suggestive of the word "DOCFILE0".50
4B
03
04
), where "PK" are the initials of Phil Katz, author of DOS compression utility PKZIP.37
7A
BC
AF
27
1C
).The Unix utility program file
can read and interpret magic numbers from files, and the file which is used to parse the information is called magic. The Windows utility TrID has a similar purpose.
2A
.52
46
42
, for "Remote Frame Buffer") followed by the client's protocol version number.FF
53
4D
42
', or "\xFFSMB"
at the start of the SMB request.05
at the start of the request (representing Microsoft DCE/RPC Version 5), followed immediately by a 00
or 01
for the minor version. In UDP-based MSRPC requests the first byte is always 04
.4D
45
4F
57
). Debugging extensions (used for DCOM channel hooking) are prefaced with the byte sequence "MARB" (4D
41
52
42
).19
representing the header length, followed immediately by the phrase "BitTorrent protocol" at byte position 1.E3
represents an eDonkey client, C5
represents eMule, and D4
represents compressed eMule.0xD9B4BEF9
, which indicates the main network, while the constant 0xDAB5BFFA
indicates the testnet.80
and an SSLv3 server response to a client hello begins with 16
(though this may vary).0x63
0x82
0x53
0x63
' at the start of the options section of the packet. This value is included in all DHCP packet types.0x505249202a20485454502f322e300d0a0d0a534d0d0a0d0a
', or "PRI * HTTP/2.0\r\n\r\nSM\r\n\r\n
". The preface is designed to avoid the processing of frames by servers and intermediaries which support earlier versions of HTTP but not 2.0.Magic numbers are common in API functions and interfaces across many operating systems, including DOS, Windows and NetWare:
0000
and 1234
to decide if the system should count up memory or not on reboot, thereby performing a cold or a warm boot. Theses values are also used by EMM386 memory managers intercepting boot requests. BIOSes also use magic values 55 AA
to determine if a disk is bootable.This is a list of limits of data storage types:
It is possible to create or alter globally unique identifiers (GUIDs) so that they are memorable, but this is highly discouraged as it compromises their strength as near-unique identifiers. The specifications for generating GUIDs and UUIDs are quite complex, which is what leads to them being virtually unique, if properly implemented. .
Microsoft Windows product ID numbers for Microsoft Office products sometimes end with 0000-0000-0000000FF1CE
("OFFICE"), such as {90160000-008C-0000-0000-0000000FF1CE
}, the product ID for the "Office 16 Click-to-Run Extensibility Component".
Java uses several GUIDs starting with CAFEEFAC
.
In the GUID Partition Table of the GPT partitioning scheme, BIOS Boot partitions use the special GUID {21686148-6449-6E6F-744E-656564454649
} which does not follow the GUID definition; instead, it is formed by using the ASCII codes for the string "Hah!IdontNeedEFI
" partially in little endian order.
Magic debug values are specific values written to memory during allocation or deallocation, so that it will later be possible to tell whether or not they have become corrupted, and to make it obvious when values taken from uninitialized memory are being used. Memory is usually viewed in hexadecimal, so memorable repeating or hexspeak values are common. Numerically odd values may be preferred so that processors without byte addressing will fault when attempting to use them as pointers (which must fall at even addresses). Values should be chosen that are away from likely addresses (the program code, static data, heap data, or the stack). Similarly, they may be chosen so that they are not valid codes in the instruction set for the given architecture.
Since it is very unlikely, although possible, that a 32-bit integer would take this specific value, the appearance of such a number in a debugger or memory dump most likely indicates an error such as a buffer overflow or an uninitialized variable.
Famous and common examples include:
Most of these are each 32 bits long – the word size of most 32-bit architecture computers.
The prevalence of these values in Microsoft technology is no coincidence; they are discussed in detail in Steve Maguire's book Writing Solid Code from Microsoft Press. He gives a variety of criteria for these values, such as:
Since they were often used to mark areas of memory that were essentially empty, some of these terms came to be used in phrases meaning "gone, aborted, flushed from memory"; e.g. "Your program is DEADBEEF".
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