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User's Guide to gperf 2.7.2
The GNU Perfect Hash Function Generator
Edition 2.7.2, 26 September 2000
Douglas C. Schmidt
Table of Contents
Version 2, June 1991
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-
The GNU
gperf perfect hash function generator utility was
originally written in GNU C++ by Douglas C. Schmidt. It is now also
available in a highly-portable "old-style" C version. The general
idea for the perfect hash function generator was inspired by Keith
Bostic's algorithm written in C, and distributed to net.sources around
1984. The current program is a heavily modified, enhanced, and extended
implementation of Keith's basic idea, created at the University of
California, Irvine. Bugs, patches, and suggestions should be reported
to both <bug-gnu-utils@gnu.org> and
<gperf-bugs@lists.sourceforge.net> .
-
Special thanks is extended to Michael Tiemann and Doug Lea, for
providing a useful compiler, and for giving me a forum to exhibit my
creation.
In addition, Adam de Boor and Nels Olson provided many tips and insights
that greatly helped improve the quality and functionality of
gperf .
-
A testsuite was added by Bruno Haible. He also rewrote the output
routines for better reliability.
gperf is a perfect hash function generator written in C++. It
transforms an n element user-specified keyword set W into a
perfect hash function F. F uniquely maps keywords in
W onto the range 0..k, where k >= n. If k
= n then F is a minimal perfect hash function.
gperf generates a 0..k element static lookup table and a
pair of C functions. These functions determine whether a given
character string s occurs in W, using at most one probe into
the lookup table.
gperf currently generates the reserved keyword recognizer for
lexical analyzers in several production and research compilers and
language processing tools, including GNU C, GNU C++, GNU Pascal, GNU
Modula 3, and GNU indent. Complete C++ source code for gperf is
available via anonymous ftp from ftp://ftp.gnu.org/pub/gnu/gperf/ .
A paper describing gperf 's design and implementation in greater
detail is available in the Second USENIX C++ Conference proceedings.
A static search structure is an Abstract Data Type with certain
fundamental operations, e.g., initialize, insert,
and retrieve. Conceptually, all insertions occur before any
retrievals. In practice, gperf generates a static array
containing search set keywords and any associated attributes specified
by the user. Thus, there is essentially no execution-time cost for the
insertions. It is a useful data structure for representing static
search sets. Static search sets occur frequently in software system
applications. Typical static search sets include compiler reserved
words, assembler instruction opcodes, and built-in shell interpreter
commands. Search set members, called keywords, are inserted into
the structure only once, usually during program initialization, and are
not generally modified at run-time.
Numerous static search structure implementations exist, e.g.,
arrays, linked lists, binary search trees, digital search tries, and
hash tables. Different approaches offer trade-offs between space
utilization and search time efficiency. For example, an n element
sorted array is space efficient, though the average-case time
complexity for retrieval operations using binary search is
proportional to log n. Conversely, hash table implementations
often locate a table entry in constant time, but typically impose
additional memory overhead and exhibit poor worst case performance.
Minimal perfect hash functions provide an optimal solution for a
particular class of static search sets. A minimal perfect hash
function is defined by two properties:
-
It allows keyword recognition in a static search set using at most
one probe into the hash table. This represents the "perfect"
property.
-
The actual memory allocated to store the keywords is precisely large
enough for the keyword set, and no larger. This is the
"minimal" property.
For most applications it is far easier to generate perfect hash
functions than minimal perfect hash functions. Moreover,
non-minimal perfect hash functions frequently execute faster than
minimal ones in practice. This phenomena occurs since searching a
sparse keyword table increases the probability of locating a "null"
entry, thereby reducing string comparisons. gperf 's default
behavior generates near-minimal perfect hash functions for
keyword sets. However, gperf provides many options that permit
user control over the degree of minimality and perfection.
Static search sets often exhibit relative stability over time. For
example, Ada's 63 reserved words have remained constant for nearly a
decade. It is therefore frequently worthwhile to expend concerted
effort building an optimal search structure once, if it
subsequently receives heavy use multiple times. gperf removes
the drudgery associated with constructing time- and space-efficient
search structures by hand. It has proven a useful and practical tool
for serious programming projects. Output from gperf is currently
used in several production and research compilers, including GNU C, GNU
C++, GNU Pascal, and GNU Modula 3. The latter two compilers are not yet
part of the official GNU distribution. Each compiler utilizes
gperf to automatically generate static search structures that
efficiently identify their respective reserved keywords.
The perfect hash function generator gperf reads a set of
"keywords" from a keyfile (or from the standard input by
default). It attempts to derive a perfect hashing function that
recognizes a member of the static keyword set with at most a
single probe into the lookup table. If gperf succeeds in
generating such a function it produces a pair of C source code routines
that perform hashing and table lookup recognition. All generated C code
is directed to the standard output. Command-line options described
below allow you to modify the input and output format to gperf .
By default, gperf attempts to produce time-efficient code, with
less emphasis on efficient space utilization. However, several options
exist that permit trading-off execution time for storage space and vice
versa. In particular, expanding the generated table size produces a
sparse search structure, generally yielding faster searches.
Conversely, you can direct gperf to utilize a C switch
statement scheme that minimizes data space storage size. Furthermore,
using a C switch may actually speed up the keyword retrieval time
somewhat. Actual results depend on your C compiler, of course.
In general, gperf assigns values to the characters it is using
for hashing until some set of values gives each keyword a unique value.
A helpful heuristic is that the larger the hash value range, the easier
it is for gperf to find and generate a perfect hash function.
Experimentation is the key to getting the most from gperf .
You can control the input keyfile format by varying certain command-line
arguments, in particular the `-t' option. The input's appearance
is similar to GNU utilities flex and bison (or UNIX
utilities lex and yacc ). Here's an outline of the general
format:
declarations
%%
keywords
%%
functions
Unlike flex or bison , all sections of
gperf 's input are optional. The following sections describe the
input format for each section.
The keyword input file optionally contains a section for including
arbitrary C declarations and definitions, as well as provisions for
providing a user-supplied struct . If the `-t' option
is enabled, you must provide a C struct as the last
component in the declaration section from the keyfile file. The first
field in this struct must be a char * or const char *
identifier called `name', although it is possible to modify this
field's name with the `-K' option described below.
Here is a simple example, using months of the year and their attributes as
input:
struct months { char *name; int number; int days; int leap_days; };
%%
january, 1, 31, 31
february, 2, 28, 29
march, 3, 31, 31
april, 4, 30, 30
may, 5, 31, 31
june, 6, 30, 30
july, 7, 31, 31
august, 8, 31, 31
september, 9, 30, 30
october, 10, 31, 31
november, 11, 30, 30
december, 12, 31, 31
Separating the struct declaration from the list of keywords and
other fields are a pair of consecutive percent signs, `%%',
appearing left justified in the first column, as in the UNIX utility
lex .
Using a syntax similar to GNU utilities flex and bison , it
is possible to directly include C source text and comments verbatim into
the generated output file. This is accomplished by enclosing the region
inside left-justified surrounding `%{', `%}' pairs. Here is
an input fragment based on the previous example that illustrates this
feature:
%{
#include <assert.h>
/* This section of code is inserted directly into the output. */
int return_month_days (struct months *months, int is_leap_year);
%}
struct months { char *name; int number; int days; int leap_days; };
%%
january, 1, 31, 31
february, 2, 28, 29
march, 3, 31, 31
...
It is possible to omit the declaration section entirely. In this case
the keyfile begins directly with the first keyword line, e.g.:
january, 1, 31, 31
february, 2, 28, 29
march, 3, 31, 31
april, 4, 30, 30
...
The second keyfile format section contains lines of keywords and any
associated attributes you might supply. A line beginning with `#'
in the first column is considered a comment. Everything following the
`#' is ignored, up to and including the following newline.
The first field of each non-comment line is always the key itself. It
can be given in two ways: as a simple name, i.e., without surrounding
string quotation marks, or as a string enclosed in double-quotes, in
C syntax, possibly with backslash escapes like \" or \234
or \xa8 . In either case, it must start right at the beginning
of the line, without leading whitespace.
In this context, a "field" is considered to extend up to, but
not include, the first blank, comma, or newline. Here is a simple
example taken from a partial list of C reserved words:
# These are a few C reserved words, see the c.gperf file
# for a complete list of ANSI C reserved words.
unsigned
sizeof
switch
signed
if
default
for
while
return
Note that unlike flex or bison the first `%%' marker
may be elided if the declaration section is empty.
Additional fields may optionally follow the leading keyword. Fields
should be separated by commas, and terminate at the end of line. What
these fields mean is entirely up to you; they are used to initialize the
elements of the user-defined struct provided by you in the
declaration section. If the `-t' option is not enabled
these fields are simply ignored. All previous examples except the last
one contain keyword attributes.
The optional third section also corresponds closely with conventions
found in flex and bison . All text in this section,
starting at the final `%%' and extending to the end of the input
file, is included verbatim into the generated output file. Naturally,
it is your responsibility to ensure that the code contained in this
section is valid C.
Several options control how the generated C code appears on the standard
output. Two C function are generated. They are called hash and
in_word_set , although you may modify their names with a command-line
option. Both functions require two arguments, a string, char *
str, and a length parameter, int len. Their default
function prototypes are as follows:
- Function: unsigned int hash (const char * str, unsigned int len)
-
By default, the generated
hash function returns an integer value
created by adding len to several user-specified str key
positions indexed into an associated values table stored in a
local static array. The associated values table is constructed
internally by gperf and later output as a static local C array
called `hash_table'; its meaning and properties are described below
(see section 7 Implementation Details of GNU gperf ). The relevant key positions are specified via
the `-k' option when running gperf , as detailed in the
Options section below(see section 4 Invoking gperf ).
- Function: in_word_set (const char * str, unsigned int len)
-
If str is in the keyword set, returns a pointer to that
keyword. More exactly, if the option `-t' was given, it returns
a pointer to the matching keyword's structure. Otherwise it returns
NULL .
If the option `-c' is not used, str must be a NUL terminated
string of exactly length len. If `-c' is used, str must
simply be an array of len characters and does not need to be NUL
terminated.
The code generated for these two functions is affected by the following
options:
- `-t'
-
- `--struct-type'
-
Make use of the user-defined
struct .
- `-S total-switch-statements'
-
- `--switch=total-switch-statements'
-
Generate 1 or more C
switch statement rather than use a large,
(and potentially sparse) static array. Although the exact time and
space savings of this approach vary according to your C compiler's
degree of optimization, this method often results in smaller and faster
code.
If the `-t' and `-S' options are omitted, the default action
is to generate a char * array containing the keys, together with
additional null strings used for padding the array. By experimenting
with the various input and output options, and timing the resulting C
code, you can determine the best option choices for different keyword
set characteristics.
By default, the code generated by gperf operates on zero
terminated strings, the usual representation of strings in C. This means
that the keywords in the input file must not contain NUL characters,
and the str argument passed to hash or in_word_set
must be NUL terminated and have exactly length len.
If option `-c' is used, then the str argument does not need
to be NUL terminated. The code generated by gperf will only
access the first len, not len+1, bytes starting at str.
However, the keywords in the input file still must not contain NUL
characters.
If option `-l' is used, then the hash table performs binary
comparison. The keywords in the input file may contain NUL characters,
written in string syntax as \000 or \x00 , and the code
generated by gperf will treat NUL like any other character.
Also, in this case the `-c' option is ignored.
There are many options to gperf . They were added to make
the program more convenient for use with real applications. "On-line"
help is readily available via the `-h' option. Here is the
complete list of options.
- `-e keyword-delimiter-list'
-
- `--delimiters=keyword-delimiter-list'
-
Allows the user to provide a string containing delimiters used to
separate keywords from their attributes. The default is ",\n". This
option is essential if you want to use keywords that have embedded
commas or newlines. One useful trick is to use -e'TAB', where TAB is
the literal tab character.
- `-t'
-
- `--struct-type'
-
Allows you to include a
struct type declaration for generated
code. Any text before a pair of consecutive `%%' is considered
part of the type declaration. Keywords and additional fields may follow
this, one group of fields per line. A set of examples for generating
perfect hash tables and functions for Ada, C, C++, Pascal, Modula 2,
Modula 3 and JavaScript reserved words are distributed with this release.
- `-L generated-language-name'
-
- `--language=generated-language-name'
-
Instructs
gperf to generate code in the language specified by the
option's argument. Languages handled are currently:
- `KR-C'
-
Old-style K&R C. This language is understood by old-style C compilers and
ANSI C compilers, but ANSI C compilers may flag warnings (or even errors)
because of lacking `const'.
- `C'
-
Common C. This language is understood by ANSI C compilers, and also by
old-style C compilers, provided that you
#define const to empty
for compilers which don't know about this keyword.
- `ANSI-C'
-
ANSI C. This language is understood by ANSI C compilers and C++ compilers.
- `C++'
-
C++. This language is understood by C++ compilers.
The default is C.
- `-a'
-
This option is supported for compatibility with previous releases of
gperf . It does not do anything.
- `-g'
-
This option is supported for compatibility with previous releases of
gperf . It does not do anything.
- `-K key-name'
-
- `--slot-name=key-name'
-
This option is only useful when option `-t' has been given.
By default, the program assumes the structure component identifier for
the keyword is `name'. This option allows an arbitrary choice of
identifier for this component, although it still must occur as the first
field in your supplied
struct .
- `-F initializers'
-
- `--initializer-suffix=initializers'
-
This option is only useful when option `-t' has been given.
It permits to specify initializers for the structure members following
key name in empty hash table entries. The list of initializers
should start with a comma. By default, the emitted code will
zero-initialize structure members following key name.
- `-H hash-function-name'
-
- `--hash-fn-name=hash-function-name'
-
Allows you to specify the name for the generated hash function. Default
name is `hash'. This option permits the use of two hash tables in
the same file.
- `-N lookup-function-name'
-
- `--lookup-fn-name=lookup-function-name'
-
Allows you to specify the name for the generated lookup function.
Default name is `in_word_set'. This option permits completely
automatic generation of perfect hash functions, especially when multiple
generated hash functions are used in the same application.
- `-Z class-name'
-
- `--class-name=class-name'
-
This option is only useful when option `-L C++' has been given. It
allows you to specify the name of generated C++ class. Default name is
Perfect_Hash .
- `-7'
-
- `--seven-bit'
-
This option specifies that all strings that will be passed as arguments
to the generated hash function and the generated lookup function will
solely consist of 7-bit ASCII characters (characters in the range 0..127).
(Note that the ANSI C functions
isalnum and isgraph do
not guarantee that a character is in this range. Only an explicit
test like `c >= 'A' && c <= 'Z'' guarantees this.) This was the
default in versions of gperf earlier than 2.7; now the default is
to assume 8-bit characters.
- `-c'
-
- `--compare-strncmp'
-
Generates C code that uses the
strncmp function to perform
string comparisons. The default action is to use strcmp .
- `-C'
-
- `--readonly-tables'
-
Makes the contents of all generated lookup tables constant, i.e.,
"readonly". Many compilers can generate more efficient code for this
by putting the tables in readonly memory.
- `-E'
-
- `--enum'
-
Define constant values using an enum local to the lookup function rather
than with #defines. This also means that different lookup functions can
reside in the same file. Thanks to James Clark
<jjc@ai.mit.edu> .
- `-I'
-
- `--includes'
-
Include the necessary system include file,
<string.h> , at the
beginning of the code. By default, this is not done; the user must
include this header file himself to allow compilation of the code.
- `-G'
-
- `--global'
-
Generate the static table of keywords as a static global variable,
rather than hiding it inside of the lookup function (which is the
default behavior).
- `-W hash-table-array-name'
-
- `--word-array-name=hash-table-array-name'
-
Allows you to specify the name for the generated array containing the
hash table. Default name is `wordlist'. This option permits the
use of two hash tables in the same file, even when the option `-G'
is given.
- `-S total-switch-statements'
-
- `--switch=total-switch-statements'
-
Causes the generated C code to use a
switch statement scheme,
rather than an array lookup table. This can lead to a reduction in both
time and space requirements for some keyfiles. The argument to this
option determines how many switch statements are generated. A
value of 1 generates 1 switch containing all the elements, a
value of 2 generates 2 tables with 1/2 the elements in each
switch , etc. This is useful since many C compilers cannot
correctly generate code for large switch statements. This option
was inspired in part by Keith Bostic's original C program.
- `-T'
-
- `--omit-struct-type'
-
Prevents the transfer of the type declaration to the output file. Use
this option if the type is already defined elsewhere.
- `-p'
-
This option is supported for compatibility with previous releases of
gperf . It does not do anything.
- `-k keys'
-
- `--key-positions=keys'
-
Allows selection of the character key positions used in the keywords'
hash function. The allowable choices range between 1-126, inclusive.
The positions are separated by commas, e.g., `-k 9,4,13,14';
ranges may be used, e.g., `-k 2-7'; and positions may occur
in any order. Furthermore, the meta-character '*' causes the generated
hash function to consider all character positions in each key,
whereas '$' instructs the hash function to use the "final character"
of a key (this is the only way to use a character position greater than
126, incidentally).
For instance, the option `-k 1,2,4,6-10,'$'' generates a hash
function that considers positions 1,2,4,6,7,8,9,10, plus the last
character in each key (which may differ for each key, obviously). Keys
with length less than the indicated key positions work properly, since
selected key positions exceeding the key length are simply not
referenced in the hash function.
- `-l'
-
- `--compare-strlen'
-
Compare key lengths before trying a string comparison. This might cut
down on the number of string comparisons made during the lookup, since
keys with different lengths are never compared via
strcmp .
However, using `-l' might greatly increase the size of the
generated C code if the lookup table range is large (which implies that
the switch option `-S' is not enabled), since the length table
contains as many elements as there are entries in the lookup table.
This option is mandatory for binary comparisons (see section 3.3 Use of NUL characters).
- `-D'
-
- `--duplicates'
-
Handle keywords whose key position sets hash to duplicate values.
Duplicate hash values occur for two reasons:
-
Since
gperf does not backtrack it is possible for it to process
all your input keywords without finding a unique mapping for each word.
However, frequently only a very small number of duplicates occur, and
the majority of keys still require one probe into the table.
-
Sometimes a set of keys may have the same names, but possess different
attributes. With the -D option
gperf treats all these keys as
part of an equivalence class and generates a perfect hash function with
multiple comparisons for duplicate keys. It is up to you to completely
disambiguate the keywords by modifying the generated C code. However,
gperf helps you out by organizing the output.
Option `-D' is extremely useful for certain large or highly
redundant keyword sets, e.g., assembler instruction opcodes.
Using this option usually means that the generated hash function is no
longer perfect. On the other hand, it permits gperf to work on
keyword sets that it otherwise could not handle.
- `-f iteration-amount'
-
- `--fast=iteration-amount'
-
Generate the perfect hash function "fast". This decreases
gperf 's running time at the cost of minimizing generated
table-size. The iteration amount represents the number of times to
iterate when resolving a collision. `0' means iterate by the number of
keywords. This option is probably most useful when used in conjunction
with options `-D' and/or `-S' for large keyword sets.
- `-i initial-value'
-
- `--initial-asso=initial-value'
-
Provides an initial value for the associate values array. Default
is 0. Increasing the initial value helps inflate the final table size,
possibly leading to more time efficient keyword lookups. Note that this
option is not particularly useful when `-S' is used. Also,
`-i' is overridden when the `-r' option is used.
- `-j jump-value'
-
- `--jump=jump-value'
-
Affects the "jump value", i.e., how far to advance the associated
character value upon collisions. Jump-value is rounded up to an
odd number, the default is 5. If the jump-value is 0
gperf
jumps by random amounts.
- `-n'
-
- `--no-strlen'
-
Instructs the generator not to include the length of a keyword when
computing its hash value. This may save a few assembly instructions in
the generated lookup table.
- `-o'
-
- `--occurrence-sort'
-
Reorders the keywords by sorting the keywords so that frequently
occuring key position set components appear first. A second reordering
pass follows so that keys with "already determined values" are placed
towards the front of the keylist. This may decrease the time required
to generate a perfect hash function for many keyword sets, and also
produce more minimal perfect hash functions. The reason for this is
that the reordering helps prune the search time by handling inevitable
collisions early in the search process. On the other hand, if the
number of keywords is very large using `-o' may
increase
gperf 's execution time, since collisions will
begin earlier and continue throughout the remainder of keyword
processing. See Cichelli's paper from the January 1980 Communications
of the ACM for details.
- `-r'
-
- `--random'
-
Utilizes randomness to initialize the associated values table. This
frequently generates solutions faster than using deterministic
initialization (which starts all associated values at 0). Furthermore,
using the randomization option generally increases the size of the
table. If
gperf has difficultly with a certain keyword set try using
`-r' or `-D'.
- `-s size-multiple'
-
- `--size-multiple=size-multiple'
-
Affects the size of the generated hash table. The numeric argument for
this option indicates "how many times larger or smaller" the maximum
associated value range should be, in relationship to the number of keys.
If the size-multiple is negative the maximum associated value is
calculated by dividing it into the total number of keys. For
example, a value of 3 means "allow the maximum associated value to be
about 3 times larger than the number of input keys".
Conversely, a value of -3 means "allow the maximum associated value to
be about 3 times smaller than the number of input keys". Negative
values are useful for limiting the overall size of the generated hash
table, though this usually increases the number of duplicate hash
values.
If `generate switch' option `-S' is not enabled, the maximum
associated value influences the static array table size, and a larger
table should decrease the time required for an unsuccessful search, at
the expense of extra table space.
The default value is 1, thus the default maximum associated value about
the same size as the number of keys (for efficiency, the maximum
associated value is always rounded up to a power of 2). The actual
table size may vary somewhat, since this technique is essentially a
heuristic. In particular, setting this value too high slows down
gperf 's runtime, since it must search through a much larger range
of values. Judicious use of the `-f' option helps alleviate this
overhead, however.
- `-h'
-
- `--help'
-
Prints a short summary on the meaning of each program option. Aborts
further program execution.
- `-v'
-
- `--version'
-
Prints out the current version number.
- `-d'
-
- `--debug'
-
Enables the debugging option. This produces verbose diagnostics to
"standard error" when
gperf is executing. It is useful both for
maintaining the program and for determining whether a given set of
options is actually speeding up the search for a solution. Some useful
information is dumped at the end of the program when the `-d'
option is enabled.
The following are some limitations with the current release of
gperf :
-
The
gperf utility is tuned to execute quickly, and works quickly
for small to medium size data sets (around 1000 keywords). It is
extremely useful for maintaining perfect hash functions for compiler
keyword sets. Several recent enhancements now enable gperf to
work efficiently on much larger keyword sets (over 15,000 keywords).
When processing large keyword sets it helps greatly to have over 8 megs
of RAM.
However, since gperf does not backtrack no guaranteed solution
occurs on every run. On the other hand, it is usually easy to obtain a
solution by varying the option parameters. In particular, try the
`-r' option, and also try changing the default arguments to the
`-s' and `-j' options. To guarantee a solution, use
the `-D' and `-S' options, although the final results are not
likely to be a perfect hash function anymore! Finally, use the
`-f' option if you want gperf to generate the perfect hash
function fast, with less emphasis on making it minimal.
-
The size of the generate static keyword array can get extremely
large if the input keyword file is large or if the keywords are quite
similar. This tends to slow down the compilation of the generated C
code, and greatly inflates the object code size. If this
situation occurs, consider using the `-S' option to reduce data
size, potentially increasing keyword recognition time a negligible
amount. Since many C compilers cannot correctly generated code for
large switch statements it is important to qualify the -S option
with an appropriate numerical argument that controls the number of
switch statements generated.
-
The maximum number of key positions selected for a given key has an
arbitrary limit of 126. This restriction should be removed, and if
anyone considers this a problem write me and let me know so I can remove
the constraint.
It should be "relatively" easy to replace the current perfect hash
function algorithm with a more exhaustive approach; the perfect hash
module is essential independent from other program modules. Additional
worthwhile improvements include:
-
Make the algorithm more robust. At present, the program halts with an
error diagnostic if it can't find a direct solution and the `-D'
option is not enabled. A more comprehensive, albeit computationally
expensive, approach would employ backtracking or enable alternative
options and retry. It's not clear how helpful this would be, in
general, since most search sets are rather small in practice.
-
Another useful extension involves modifying the program to generate
"minimal" perfect hash functions (under certain circumstances, the
current version can be rather extravagant in the generated table size).
Again, this is mostly of theoretical interest, since a sparse table
often produces faster lookups, and use of the `-S'
switch
option can minimize the data size, at the expense of slightly longer
lookups (note that the gcc compiler generally produces good code for
switch statements, reducing the need for more complex schemes).
-
In addition to improving the algorithm, it would also be useful to
generate a C++ class or Ada package as the code output, in addition to
the current C routines.
A paper describing the high-level description of the data structures and
algorithms used to implement gperf will soon be available. This
paper is useful not only from a maintenance and enhancement perspective,
but also because they demonstrate several clever and useful programming
techniques, e.g., `Iteration Number' boolean arrays, double
hashing, a "safe" and efficient method for reading arbitrarily long
input from a file, and a provably optimal algorithm for simultaneously
determining both the minimum and maximum elements in a list.
[1] Chang, C.C.: A Scheme for Constructing Ordered Minimal Perfect
Hashing Functions Information Sciences 39(1986), 187-195.
[2] Cichelli, Richard J. Author's Response to "On Cichelli's Minimal Perfect Hash
Functions Method" Communications of the ACM, 23, 12(December 1980), 729.
[3] Cichelli, Richard J. Minimal Perfect Hash Functions Made Simple
Communications of the ACM, 23, 1(January 1980), 17-19.
[4] Cook, C. R. and Oldehoeft, R.R. A Letter Oriented Minimal
Perfect Hashing Function SIGPLAN Notices, 17, 9(September 1982), 18-27.
[5] Cormack, G. V. and Horspool, R. N. S. and Kaiserwerth, M.
Practical Perfect Hashing Computer Journal, 28, 1(January 1985), 54-58.
[6] Jaeschke, G. Reciprocal Hashing: A Method for Generating Minimal
Perfect Hashing Functions Communications of the ACM, 24, 12(December
1981), 829-833.
[7] Jaeschke, G. and Osterburg, G. On Cichelli's Minimal Perfect
Hash Functions Method Communications of the ACM, 23, 12(December 1980),
728-729.
[8] Sager, Thomas J. A Polynomial Time Generator for Minimal Perfect
Hash Functions Communications of the ACM, 28, 5(December 1985), 523-532
[9] Schmidt, Douglas C. GPERF: A Perfect Hash Function Generator
Second USENIX C++ Conference Proceedings, April 1990.
[10] Sebesta, R.W. and Taylor, M.A. Minimal Perfect Hash Functions
for Reserved Word Lists SIGPLAN Notices, 20, 12(September 1985), 47-53.
[11] Sprugnoli, R. Perfect Hashing Functions: A Single Probe
Retrieving Method for Static Sets Communications of the ACM, 20
11(November 1977), 841-850.
[12] Stallman, Richard M. Using and Porting GNU CC Free Software Foundation,
1988.
[13] Stroustrup, Bjarne The C++ Programming Language. Addison-Wesley, 1986.
[14] Tiemann, Michael D. User's Guide to GNU C++ Free Software
Foundation, 1989.
%
`%%'
`%{'
`%}'
a
Array name
b
Bugs
c
Class name
d
Declaration section
Delimiters
Duplicates
f
Format
Functions section
h
hash
hash table
i
in_word_set
Initializers
j
Jump value
k
Keywords section
m
Minimal perfect hash functions
n
NUL
s
Slot name
Static search structure
switch , switch
This document was generated on 26 September 2000 using the
texi2html
translator version 1.51.
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